Table of contents 目次

7×10102+173

c103

name 名前Robert Backstrom
date 日付June 17, 2008 17:44:44 UTC 2008 年 6 月 18 日 (水) 2 時 44 分 44 秒 (日本時間)
composite number 合成数
2333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333339<103>
prime factors 素因数
6419956900481202228469077758003149<34>
363449999665642674884178819352787543464290520450591658241900375546311<69>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 2333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333339 (103 digits)
Using B1=320000, B2=215159500, polynomial Dickson(3), sigma=2977305075
Step 1 took 2265ms
Step 2 took 1344ms
********** Factor found in step 2: 6419956900481202228469077758003149
Found probable prime factor of 34 digits: 6419956900481202228469077758003149
Probable prime cofactor 363449999665642674884178819352787543464290520450591658241900375546311 has 69 digits

7×10104+173

c93

name 名前Robert Backstrom
date 日付June 17, 2008 23:11:28 UTC 2008 年 6 月 18 日 (水) 8 時 11 分 28 秒 (日本時間)
composite number 合成数
349327979704661599779941625272810754908557163679461621704641746110472048389941659397248809139<93>
prime factors 素因数
84021039913865811864528095862181648183<38>
4157625043236494780959904525049407778407073398238277733<55>
factorization results 素因数分解の結果
Number: n
N=349327979704661599779941625272810754908557163679461621704641746110472048389941659397248809139
  ( 93 digits)
SNFS difficulty: 105 digits.
Divisors found:
 r1=84021039913865811864528095862181648183 (pp38)
 r2=4157625043236494780959904525049407778407073398238277733 (pp55)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.70 hours.
Scaled time: 1.27 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_2_3_103_9
n: 349327979704661599779941625272810754908557163679461621704641746110472048389941659397248809139
skew: 1.89
deg: 5
c5: 7
c0: 170
m: 1000000000000000000000
type: snfs
rlim: 600000
alim: 600000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 160001)
Primes: RFBsize:49098, AFBsize:49011, largePrimes:4196488 encountered
Relations: rels:3702660, finalFF:250006
Max relations in full relation-set: 48
Initial matrix: 98174 x 250005 with sparse part having weight 17311302.
Pruned matrix : 56789 x 57343 with weight 2371582.
Total sieving time: 0.63 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.01 hours.
Total square root time: 0.01 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,105,5,0,0,0,0,0,0,0,0,600000,600000,28,28,48,48,2.5,2.5,50000
total time: 0.70 hours.
 --------- CPU info (if available) ----------

7×10111+173

c108

name 名前Robert Backstrom
date 日付June 18, 2008 05:29:17 UTC 2008 年 6 月 18 日 (水) 14 時 29 分 17 秒 (日本時間)
composite number 合成数
265967551958661043352710969261750066491887989665260838177742315437516622971997416315209544435578859379155743<108>
prime factors 素因数
141365583583934397402332467178657836374287<42>
1881416574075439492986128061851660298139048768985554696504455656689<67>
factorization results 素因数分解の結果
Number: n
N=265967551958661043352710969261750066491887989665260838177742315437516622971997416315209544435578859379155743
  ( 108 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=141365583583934397402332467178657836374287 (pp42)
 r2=1881416574075439492986128061851660298139048768985554696504455656689 (pp67)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.71 hours.
Scaled time: 1.30 units (timescale=1.818).
Factorization parameters were as follows:
name: KA_2_3_110_9
n: 265967551958661043352710969261750066491887989665260838177742315437516622971997416315209544435578859379155743
skew: 0.75
deg: 5
c5: 70
c0: 17
m: 10000000000000000000000
type: snfs
rlim: 600000
alim: 600000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 160001)
Primes: RFBsize:49098, AFBsize:49186, largePrimes:3947445 encountered
Relations: rels:3357682, finalFF:166084
Max relations in full relation-set: 48
Initial matrix: 98351 x 166084 with sparse part having weight 12282582.
Pruned matrix : 73535 x 74090 with weight 3129235.
Total sieving time: 0.63 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.02 hours.
Total square root time: 0.02 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,111,5,0,0,0,0,0,0,0,0,600000,600000,28,28,48,48,2.5,2.5,50000
total time: 0.71 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

7×10113+173

c102

name 名前Robert Backstrom
date 日付June 18, 2008 06:06:40 UTC 2008 年 6 月 18 日 (水) 15 時 6 分 40 秒 (日本時間)
composite number 合成数
561432192426053654517340771240223116430397943672531177239167575604615218442742295215856972269044055827<102>
prime factors 素因数
8339601674524220895513383477312681123489<40>
67321224002953796493692732850668437799328402691094933774632243<62>
factorization results 素因数分解の結果
Number: n
N=561432192426053654517340771240223116430397943672531177239167575604615218442742295215856972269044055827
  ( 102 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=8339601674524220895513383477312681123489 (pp40)
 r2=67321224002953796493692732850668437799328402691094933774632243 (pp62)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.10 hours.
Scaled time: 1.58 units (timescale=1.443).
Factorization parameters were as follows:
name: KA_2_3_112_9
n: 561432192426053654517340771240223116430397943672531177239167575604615218442742295215856972269044055827
skew: 0.30
deg: 5
c5: 7000
c0: 17
m: 10000000000000000000000
type: snfs
rlim: 600000
alim: 600000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 180001)
Primes: RFBsize:49098, AFBsize:49326, largePrimes:3980336 encountered
Relations: rels:3357490, finalFF:133469
Max relations in full relation-set: 28
Initial matrix: 98491 x 133469 with sparse part having weight 9073890.
Pruned matrix : 84080 x 84636 with weight 3936525.
Total sieving time: 0.94 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.05 hours.
Total square root time: 0.03 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,113,5,0,0,0,0,0,0,0,0,600000,600000,28,28,48,48,2.5,2.5,50000
total time: 1.10 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

7×10117+173

c101

name 名前Sinkiti Sibata
date 日付June 17, 2008 23:34:41 UTC 2008 年 6 月 18 日 (水) 8 時 34 分 41 秒 (日本時間)
composite number 合成数
73185184517830523349631685351219188493971228777679019193467213732990802157068577513278831575587907923<101>
prime factors 素因数
7055000601307972440354361852306418014519<40>
10373519245946236498753585760743609141393461815640085096926917<62>
factorization results 素因数分解の結果
Number: 23339_117
N=73185184517830523349631685351219188493971228777679019193467213732990802157068577513278831575587907923
  ( 101 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=7055000601307972440354361852306418014519 (pp40)
 r2=10373519245946236498753585760743609141393461815640085096926917 (pp62)
Version: GGNFS-0.77.1-20060513-k8
Total time: 2.27 hours.
Scaled time: 4.53 units (timescale=1.996).
Factorization parameters were as follows:
name: 23339_117
n: 73185184517830523349631685351219188493971228777679019193467213732990802157068577513278831575587907923
m: 100000000000000000000000
c5: 700
c0: 17
skew: 0.48
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 550001)
Primes: RFBsize:49098, AFBsize:64083, largePrimes:2285266 encountered
Relations: rels:2533749, finalFF:360298
Max relations in full relation-set: 28
Initial matrix: 113248 x 360298 with sparse part having weight 33638715.
Pruned matrix : 75040 x 75670 with weight 6289789.
Total sieving time: 2.15 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,117,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.27 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

7×10118+173

c112

name 名前Sinkiti Sibata
date 日付June 18, 2008 01:44:23 UTC 2008 年 6 月 18 日 (水) 10 時 44 分 23 秒 (日本時間)
composite number 合成数
1213524298371022190869377302023088894694157984810455045781157639424103667982941800986903836468655386819624816773<112>
prime factors 素因数
3093087719815041604894591181802808992385054200749<49>
392334265399879349992246101266524172412020862047021909878065977<63>
factorization results 素因数分解の結果
Number: 23339_118
N=1213524298371022190869377302023088894694157984810455045781157639424103667982941800986903836468655386819624816773
  ( 112 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=3093087719815041604894591181802808992385054200749 (pp49)
 r2=392334265399879349992246101266524172412020862047021909878065977 (pp63)
Version: GGNFS-0.77.1-20060513-k8
Total time: 2.32 hours.
Scaled time: 4.58 units (timescale=1.973).
Factorization parameters were as follows:
name: 23339_118
n: 1213524298371022190869377302023088894694157984810455045781157639424103667982941800986903836468655386819624816773
m: 100000000000000000000000
c5: 7000
c0: 17
skew: 0.3
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 550001)
Primes: RFBsize:49098, AFBsize:64188, largePrimes:2227594 encountered
Relations: rels:2431241, finalFF:324093
Max relations in full relation-set: 28
Initial matrix: 113353 x 324093 with sparse part having weight 30217094.
Pruned matrix : 77229 x 77859 with weight 5970872.
Total sieving time: 2.20 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,118,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.32 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

7×10119+173

c94

name 名前Sinkiti Sibata
date 日付June 18, 2008 11:45:55 UTC 2008 年 6 月 18 日 (水) 20 時 45 分 55 秒 (日本時間)
composite number 合成数
3535727618010203827241863252367638975873802814867733018263403913509911611397412713507437008067<94>
prime factors 素因数
2487899235307330769877021031219003735293763<43>
1421169944438458969216053661423570617164050231393409<52>
factorization results 素因数分解の結果
Wed Jun 18 14:47:16 2008  Msieve v. 1.36
Wed Jun 18 14:47:16 2008  random seeds: 31d20917 2261db0f
Wed Jun 18 14:47:16 2008  factoring 3535727618010203827241863252367638975873802814867733018263403913509911611397412713507437008067 (94 digits)
Wed Jun 18 14:47:17 2008  no P-1/P+1/ECM available, skipping
Wed Jun 18 14:47:17 2008  commencing quadratic sieve (94-digit input)
Wed Jun 18 14:47:18 2008  using multiplier of 3
Wed Jun 18 14:47:18 2008  using 64kb Pentium 4 sieve core
Wed Jun 18 14:47:18 2008  sieve interval: 18 blocks of size 65536
Wed Jun 18 14:47:18 2008  processing polynomials in batches of 6
Wed Jun 18 14:47:18 2008  using a sieve bound of 2023201 (75294 primes)
Wed Jun 18 14:47:18 2008  using large prime bound of 271108934 (28 bits)
Wed Jun 18 14:47:18 2008  using double large prime bound of 1512372783942046 (42-51 bits)
Wed Jun 18 14:47:18 2008  using trial factoring cutoff of 51 bits
Wed Jun 18 14:47:18 2008  polynomial 'A' values have 12 factors
Wed Jun 18 20:40:18 2008  75496 relations (18487 full + 57009 combined from 1076904 partial), need 75390
Wed Jun 18 20:40:22 2008  begin with 1095391 relations
Wed Jun 18 20:40:23 2008  reduce to 196684 relations in 12 passes
Wed Jun 18 20:40:23 2008  attempting to read 196684 relations
Wed Jun 18 20:40:29 2008  recovered 196684 relations
Wed Jun 18 20:40:29 2008  recovered 181534 polynomials
Wed Jun 18 20:40:29 2008  attempting to build 75496 cycles
Wed Jun 18 20:40:30 2008  found 75496 cycles in 6 passes
Wed Jun 18 20:40:30 2008  distribution of cycle lengths:
Wed Jun 18 20:40:30 2008     length 1 : 18487
Wed Jun 18 20:40:30 2008     length 2 : 13231
Wed Jun 18 20:40:30 2008     length 3 : 12825
Wed Jun 18 20:40:30 2008     length 4 : 10112
Wed Jun 18 20:40:30 2008     length 5 : 7521
Wed Jun 18 20:40:30 2008     length 6 : 5337
Wed Jun 18 20:40:30 2008     length 7 : 3381
Wed Jun 18 20:40:30 2008     length 9+: 4602
Wed Jun 18 20:40:30 2008  largest cycle: 21 relations
Wed Jun 18 20:40:30 2008  matrix is 75294 x 75496 (19.6 MB) with weight 4844871 (64.17/col)
Wed Jun 18 20:40:30 2008  sparse part has weight 4844871 (64.17/col)
Wed Jun 18 20:40:31 2008  filtering completed in 3 passes
Wed Jun 18 20:40:31 2008  matrix is 71867 x 71931 (18.8 MB) with weight 4647852 (64.62/col)
Wed Jun 18 20:40:31 2008  sparse part has weight 4647852 (64.62/col)
Wed Jun 18 20:40:32 2008  saving the first 48 matrix rows for later
Wed Jun 18 20:40:32 2008  matrix is 71819 x 71931 (11.7 MB) with weight 3646166 (50.69/col)
Wed Jun 18 20:40:32 2008  sparse part has weight 2648356 (36.82/col)
Wed Jun 18 20:40:32 2008  matrix includes 64 packed rows
Wed Jun 18 20:40:32 2008  using block size 21845 for processor cache size 512 kB
Wed Jun 18 20:40:33 2008  commencing Lanczos iteration
Wed Jun 18 20:40:33 2008  memory use: 11.5 MB
Wed Jun 18 20:41:29 2008  lanczos halted after 1137 iterations (dim = 71817)
Wed Jun 18 20:41:29 2008  recovered 17 nontrivial dependencies
Wed Jun 18 20:41:31 2008  prp43 factor: 2487899235307330769877021031219003735293763
Wed Jun 18 20:41:31 2008  prp52 factor: 1421169944438458969216053661423570617164050231393409
Wed Jun 18 20:41:31 2008  elapsed time 05:54:15
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

7×10123+173

c93

name 名前Sinkiti Sibata
date 日付June 18, 2008 01:36:36 UTC 2008 年 6 月 18 日 (水) 10 時 36 分 36 秒 (日本時間)
composite number 合成数
485969650589380773048129474294923494937486054697957352921123969457889678948105771180179989717<93>
prime factors 素因数
39640352959941520079217079058662355588447<41>
12259468301921439444803232407524450529599277231054411<53>
factorization results 素因数分解の結果
Wed Jun 18 10:30:39 2008  Msieve v. 1.36
Wed Jun 18 10:30:39 2008  random seeds: 071b2352 82b713c7
Wed Jun 18 10:30:39 2008  factoring 485969650589380773048129474294923494937486054697957352921123969457889678948105771180179989717 (93 digits)
Wed Jun 18 10:30:40 2008  no P-1/P+1/ECM available, skipping
Wed Jun 18 10:30:40 2008  commencing quadratic sieve (93-digit input)
Wed Jun 18 10:30:40 2008  using multiplier of 13
Wed Jun 18 10:30:40 2008  using 64kb Pentium 4 sieve core
Wed Jun 18 10:30:40 2008  sieve interval: 18 blocks of size 65536
Wed Jun 18 10:30:40 2008  processing polynomials in batches of 6
Wed Jun 18 10:30:40 2008  using a sieve bound of 1922351 (71765 primes)
Wed Jun 18 10:30:40 2008  using large prime bound of 232604471 (27 bits)
Wed Jun 18 10:30:40 2008  using double large prime bound of 1147922137951622 (42-51 bits)
Wed Jun 18 10:30:40 2008  using trial factoring cutoff of 51 bits
Wed Jun 18 10:30:40 2008  polynomial 'A' values have 12 factors
Wed Jun 18 10:30:45 2008  restarting with 18575 full and 956051 partial relations
Wed Jun 18 10:30:45 2008  72209 relations (18575 full + 53634 combined from 956051 partial), need 71861
Wed Jun 18 10:30:48 2008  begin with 974626 relations
Wed Jun 18 10:30:49 2008  reduce to 182680 relations in 11 passes
Wed Jun 18 10:30:49 2008  attempting to read 182680 relations
Wed Jun 18 10:30:55 2008  recovered 182680 relations
Wed Jun 18 10:30:55 2008  recovered 161924 polynomials
Wed Jun 18 10:30:55 2008  attempting to build 72209 cycles
Wed Jun 18 10:30:55 2008  found 72209 cycles in 6 passes
Wed Jun 18 10:30:55 2008  distribution of cycle lengths:
Wed Jun 18 10:30:55 2008     length 1 : 18575
Wed Jun 18 10:30:55 2008     length 2 : 13202
Wed Jun 18 10:30:55 2008     length 3 : 12365
Wed Jun 18 10:30:55 2008     length 4 : 9549
Wed Jun 18 10:30:55 2008     length 5 : 7117
Wed Jun 18 10:30:55 2008     length 6 : 4605
Wed Jun 18 10:30:55 2008     length 7 : 2941
Wed Jun 18 10:30:55 2008     length 9+: 3855
Wed Jun 18 10:30:55 2008  largest cycle: 19 relations
Wed Jun 18 10:30:56 2008  matrix is 71765 x 72209 (18.3 MB) with weight 4519177 (62.58/col)
Wed Jun 18 10:30:56 2008  sparse part has weight 4519177 (62.58/col)
Wed Jun 18 10:30:57 2008  filtering completed in 3 passes
Wed Jun 18 10:30:57 2008  matrix is 67627 x 67691 (17.2 MB) with weight 4244832 (62.71/col)
Wed Jun 18 10:30:57 2008  sparse part has weight 4244832 (62.71/col)
Wed Jun 18 10:30:58 2008  saving the first 48 matrix rows for later
Wed Jun 18 10:30:58 2008  matrix is 67579 x 67691 (10.6 MB) with weight 3302713 (48.79/col)
Wed Jun 18 10:30:58 2008  sparse part has weight 2369433 (35.00/col)
Wed Jun 18 10:30:58 2008  matrix includes 64 packed rows
Wed Jun 18 10:30:58 2008  using block size 21845 for processor cache size 512 kB
Wed Jun 18 10:30:58 2008  commencing Lanczos iteration
Wed Jun 18 10:30:58 2008  memory use: 10.4 MB
Wed Jun 18 10:31:46 2008  lanczos halted after 1070 iterations (dim = 67575)
Wed Jun 18 10:31:47 2008  recovered 15 nontrivial dependencies
Wed Jun 18 10:31:48 2008  prp41 factor: 39640352959941520079217079058662355588447
Wed Jun 18 10:31:48 2008  prp53 factor: 12259468301921439444803232407524450529599277231054411
Wed Jun 18 10:31:48 2008  elapsed time 00:01:09
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

7×10126+173

c93

name 名前Sinkiti Sibata
date 日付June 18, 2008 05:43:35 UTC 2008 年 6 月 18 日 (水) 14 時 43 分 35 秒 (日本時間)
composite number 合成数
328446595511390663902274889915254013499180885468671028135877513010323355822376511174877183889<93>
prime factors 素因数
68030424514091868787676449965273815693041<41>
4827936880554905413919785453314420134437806840877729<52>
factorization results 素因数分解の結果
Wed Jun 18 10:40:16 2008  Msieve v. 1.36
Wed Jun 18 10:40:16 2008  random seeds: b05deab3 ec6c7f99
Wed Jun 18 10:40:16 2008  factoring 328446595511390663902274889915254013499180885468671028135877513010323355822376511174877183889 (93 digits)
Wed Jun 18 10:40:17 2008  no P-1/P+1/ECM available, skipping
Wed Jun 18 10:40:17 2008  commencing quadratic sieve (93-digit input)
Wed Jun 18 10:40:17 2008  using multiplier of 19
Wed Jun 18 10:40:17 2008  using 64kb Pentium 4 sieve core
Wed Jun 18 10:40:17 2008  sieve interval: 18 blocks of size 65536
Wed Jun 18 10:40:17 2008  processing polynomials in batches of 6
Wed Jun 18 10:40:17 2008  using a sieve bound of 1919377 (71765 primes)
Wed Jun 18 10:40:17 2008  using large prime bound of 232244617 (27 bits)
Wed Jun 18 10:40:17 2008  using double large prime bound of 1144727446588341 (42-51 bits)
Wed Jun 18 10:40:17 2008  using trial factoring cutoff of 51 bits
Wed Jun 18 10:40:17 2008  polynomial 'A' values have 12 factors
Wed Jun 18 14:37:22 2008  72231 relations (18362 full + 53869 combined from 958546 partial), need 71861
Wed Jun 18 14:37:26 2008  begin with 976908 relations
Wed Jun 18 14:37:27 2008  reduce to 183295 relations in 10 passes
Wed Jun 18 14:37:27 2008  attempting to read 183295 relations
Wed Jun 18 14:37:32 2008  recovered 183295 relations
Wed Jun 18 14:37:32 2008  recovered 163365 polynomials
Wed Jun 18 14:37:33 2008  attempting to build 72231 cycles
Wed Jun 18 14:37:33 2008  found 72231 cycles in 5 passes
Wed Jun 18 14:37:33 2008  distribution of cycle lengths:
Wed Jun 18 14:37:33 2008     length 1 : 18362
Wed Jun 18 14:37:33 2008     length 2 : 13186
Wed Jun 18 14:37:33 2008     length 3 : 12410
Wed Jun 18 14:37:33 2008     length 4 : 9670
Wed Jun 18 14:37:33 2008     length 5 : 7135
Wed Jun 18 14:37:33 2008     length 6 : 4786
Wed Jun 18 14:37:33 2008     length 7 : 2899
Wed Jun 18 14:37:33 2008     length 9+: 3783
Wed Jun 18 14:37:33 2008  largest cycle: 19 relations
Wed Jun 18 14:37:33 2008  matrix is 71765 x 72231 (18.7 MB) with weight 4625287 (64.03/col)
Wed Jun 18 14:37:33 2008  sparse part has weight 4625287 (64.03/col)
Wed Jun 18 14:37:35 2008  filtering completed in 3 passes
Wed Jun 18 14:37:35 2008  matrix is 67539 x 67603 (17.6 MB) with weight 4340466 (64.21/col)
Wed Jun 18 14:37:35 2008  sparse part has weight 4340466 (64.21/col)
Wed Jun 18 14:37:35 2008  saving the first 48 matrix rows for later
Wed Jun 18 14:37:35 2008  matrix is 67491 x 67603 (11.0 MB) with weight 3412442 (50.48/col)
Wed Jun 18 14:37:35 2008  sparse part has weight 2475447 (36.62/col)
Wed Jun 18 14:37:35 2008  matrix includes 64 packed rows
Wed Jun 18 14:37:35 2008  using block size 21845 for processor cache size 512 kB
Wed Jun 18 14:37:36 2008  commencing Lanczos iteration
Wed Jun 18 14:37:36 2008  memory use: 10.6 MB
Wed Jun 18 14:38:25 2008  lanczos halted after 1069 iterations (dim = 67490)
Wed Jun 18 14:38:25 2008  recovered 18 nontrivial dependencies
Wed Jun 18 14:38:26 2008  prp41 factor: 68030424514091868787676449965273815693041
Wed Jun 18 14:38:26 2008  prp52 factor: 4827936880554905413919785453314420134437806840877729
Wed Jun 18 14:38:26 2008  elapsed time 03:58:10
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

7×10142+173

c119

name 名前Sinkiti Sibata
date 日付June 18, 2008 12:34:07 UTC 2008 年 6 月 18 日 (水) 21 時 34 分 7 秒 (日本時間)
composite number 合成数
70363533630294185294165706482946113409918647922182584068184418398232967632488922819202335829444250304263960981932236633<119>
prime factors 素因数
8736112065016231832182289058545466897704748911<46>
8054330474086409141498305541361295838218114061746685318944976380558270903<73>
factorization results 素因数分解の結果
Number: 23339_142
N=70363533630294185294165706482946113409918647922182584068184418398232967632488922819202335829444250304263960981932236633
  ( 119 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=8736112065016231832182289058545466897704748911 (pp46)
 r2=8054330474086409141498305541361295838218114061746685318944976380558270903 (pp73)
Version: GGNFS-0.77.1-20060513-k8
Total time: 18.48 hours.
Scaled time: 37.14 units (timescale=2.010).
Factorization parameters were as follows:
name: 23339_142
n: 70363533630294185294165706482946113409918647922182584068184418398232967632488922819202335829444250304263960981932236633
m: 10000000000000000000000000000
c5: 700
c0: 17
skew: 0.48
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 2750001)
Primes: RFBsize:100021, AFBsize:100193, largePrimes:2963927 encountered
Relations: rels:3028488, finalFF:283712
Max relations in full relation-set: 28
Initial matrix: 200281 x 283712 with sparse part having weight 33966330.
Pruned matrix : 180243 x 181308 with weight 20552126.
Total sieving time: 17.84 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.44 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 18.48 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

7×10143+173

c137

name 名前Sinkiti Sibata
date 日付June 18, 2008 22:27:59 UTC 2008 年 6 月 19 日 (木) 7 時 27 分 59 秒 (日本時間)
composite number 合成数
28803337763698157643877095499400293933947116002027590388062843451513839654040641262698825840165587919945978105595422803989295198372496203<137>
prime factors 素因数
535765703863921912750851250492181849899<39>
53761070475339461599109698874173573872281314889937566690752801724933075409845431841588828412544097<98>
factorization results 素因数分解の結果
Number: 23339_143
N=28803337763698157643877095499400293933947116002027590388062843451513839654040641262698825840165587919945978105595422803989295198372496203
  ( 137 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=535765703863921912750851250492181849899 (pp39)
 r2=53761070475339461599109698874173573872281314889937566690752801724933075409845431841588828412544097 (pp98)
Version: GGNFS-0.77.1-20060513-k8
Total time: 18.67 hours.
Scaled time: 37.52 units (timescale=2.010).
Factorization parameters were as follows:
name: 23339_143
n: 28803337763698157643877095499400293933947116002027590388062843451513839654040641262698825840165587919945978105595422803989295198372496203
m: 10000000000000000000000000000
c5: 7000
c0: 17
skew: 0.3
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 2750001)
Primes: RFBsize:100021, AFBsize:100228, largePrimes:2937213 encountered
Relations: rels:2987873, finalFF:275507
Max relations in full relation-set: 28
Initial matrix: 200316 x 275507 with sparse part having weight 32504675.
Pruned matrix : 181772 x 182837 with weight 20348065.
Total sieving time: 18.00 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.46 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,143,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 18.67 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

7×10144+173

c135

name 名前Sinkiti Sibata
date 日付June 19, 2008 13:41:36 UTC 2008 年 6 月 19 日 (木) 22 時 41 分 36 秒 (日本時間)
composite number 合成数
381738380776997859744121916215088281147051506809213294713740439081334892377529819179907247270716742343762095474325325171538145565088067<135>
prime factors 素因数
626946312457987940199614144659177704270837173<45>
608885279634814638970724327573961019652307778580222127000169140138289548248184830103481879<90>
factorization results 素因数分解の結果
Number: 23339_144
N=381738380776997859744121916215088281147051506809213294713740439081334892377529819179907247270716742343762095474325325171538145565088067
  ( 135 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=626946312457987940199614144659177704270837173 (pp45)
 r2=608885279634814638970724327573961019652307778580222127000169140138289548248184830103481879 (pp90)
Version: GGNFS-0.77.1-20060513-k8
Total time: 29.13 hours.
Scaled time: 58.34 units (timescale=2.003).
Factorization parameters were as follows:
name: 23339_144
n: 381738380776997859744121916215088281147051506809213294713740439081334892377529819179907247270716742343762095474325325171538145565088067
m: 100000000000000000000000000000
c5: 7
c0: 170
skew: 1.89
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 4150001)
Primes: RFBsize:100021, AFBsize:100013, largePrimes:3149571 encountered
Relations: rels:3284509, finalFF:230295
Max relations in full relation-set: 28
Initial matrix: 200099 x 230295 with sparse part having weight 31044379.
Pruned matrix : 193206 x 194270 with weight 25166348.
Total sieving time: 28.35 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.53 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 29.13 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

7×10146+173

c124

name 名前Sinkiti Sibata
date 日付June 20, 2008 00:41:05 UTC 2008 年 6 月 20 日 (金) 9 時 41 分 5 秒 (日本時間)
composite number 合成数
5572297587457662816333162127727176214809046786511556224921466488809034721917819970726236103796689823938279599964261266199253<124>
prime factors 素因数
21804397652798991947920303404221539210667198756143728491239<59>
255558427991811864344755703271114165099174644030525182217947392227<66>
factorization results 素因数分解の結果
Number: 23339_146
N=5572297587457662816333162127727176214809046786511556224921466488809034721917819970726236103796689823938279599964261266199253
  ( 124 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=21804397652798991947920303404221539210667198756143728491239 (pp59)
 r2=255558427991811864344755703271114165099174644030525182217947392227 (pp66)
Version: GGNFS-0.77.1-20060513-k8
Total time: 19.48 hours.
Scaled time: 39.02 units (timescale=2.003).
Factorization parameters were as follows:
name: 23339_146
n: 5572297587457662816333162127727176214809046786511556224921466488809034721917819970726236103796689823938279599964261266199253
m: 100000000000000000000000000000
c5: 70
c0: 17
skew: 0.75
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [750000, 2850001)
Primes: RFBsize:114155, AFBsize:114392, largePrimes:2827827 encountered
Relations: rels:2801739, finalFF:256860
Max relations in full relation-set: 28
Initial matrix: 228614 x 256860 with sparse part having weight 27064766.
Pruned matrix : 220197 x 221404 with weight 21616388.
Total sieving time: 18.70 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.57 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 19.48 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

7×10150+173

c115

name 名前Sinkiti Sibata
date 日付June 20, 2008 19:56:49 UTC 2008 年 6 月 21 日 (土) 4 時 56 分 49 秒 (日本時間)
composite number 合成数
8439243048360848899390133873267331807205480475339932256875802759406740186112702376997344956850716178544540468233711<115>
prime factors 素因数
2162964817432196944368364287263298935912589503<46>
3901701488783183216290172472354578578481164704106467605063761861590737<70>
factorization results 素因数分解の結果
Number: 23339_150
N=8439243048360848899390133873267331807205480475339932256875802759406740186112702376997344956850716178544540468233711
  ( 115 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=2162964817432196944368364287263298935912589503 (pp46)
 r2=3901701488783183216290172472354578578481164704106467605063761861590737 (pp70)
Version: GGNFS-0.77.1-20060513-k8
Total time: 26.01 hours.
Scaled time: 52.10 units (timescale=2.003).
Factorization parameters were as follows:
name: 23339_150
n: 8439243048360848899390133873267331807205480475339932256875802759406740186112702376997344956850716178544540468233711
m: 1000000000000000000000000000000
c5: 7
c0: 17
skew: 1.19
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2100001)
Primes: RFBsize:176302, AFBsize:176653, largePrimes:6113908 encountered
Relations: rels:6522242, finalFF:919725
Max relations in full relation-set: 28
Initial matrix: 353020 x 919725 with sparse part having weight 85181103.
Pruned matrix : 219865 x 221694 with weight 38860597.
Total sieving time: 24.89 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 0.84 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 26.01 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

7×10152+173

c127

name 名前Robert Backstrom
date 日付June 19, 2008 09:34:04 UTC 2008 年 6 月 19 日 (木) 18 時 34 分 4 秒 (日本時間)
composite number 合成数
9083409080543093805913755278938747676141202257994375217606729563473712226337971583897960187761658473791899659290793982508969141<127>
prime factors 素因数
610101261968507830368749150447308985874102137<45>
14888363041956731209585176317112178230936915291439811404040951408011091747600139293<83>
factorization results 素因数分解の結果
Number: n
N=9083409080543093805913755278938747676141202257994375217606729563473712226337971583897960187761658473791899659290793982508969141
  ( 127 digits)
SNFS difficulty: 152 digits.
Divisors found:

Thu Jun 19 19:24:26 2008  prp45 factor: 610101261968507830368749150447308985874102137
Thu Jun 19 19:24:26 2008  prp83 factor: 14888363041956731209585176317112178230936915291439811404040951408011091747600139293
Thu Jun 19 19:24:26 2008  elapsed time 00:51:02 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 18.07 hours.
Scaled time: 33.05 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_2_3_151_9
n: 9083409080543093805913755278938747676141202257994375217606729563473712226337971583897960187761658473791899659290793982508969141
skew: 0.48
deg: 5
c5: 700
c0: 17
m: 1000000000000000000000000000000
type: snfs
rlim: 1500000
alim: 1500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 1500157)
Primes: RFBsize:114155, AFBsize:114427, largePrimes:6826015 encountered
Relations: rels:6086022, finalFF:228605
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 17.92 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,1500000,1500000,28,28,48,48,2.5,2.5,100000
total time: 18.07 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

7×10153+173

c89

name 名前Robert Backstrom
date 日付June 17, 2008 23:02:48 UTC 2008 年 6 月 18 日 (水) 8 時 2 分 48 秒 (日本時間)
composite number 合成数
68751271985149664776156554199563981434395577319158661478300292012981830544670599124034001<89>
prime factors 素因数
1895549872520483456073059398581094704841<40>
36269830185861666534847203262383843474869227650761<50>
factorization results 素因数分解の結果
Wed Jun 18 08:10:17 2008  
Wed Jun 18 08:10:17 2008  
Wed Jun 18 08:10:17 2008  Msieve v. 1.36
Wed Jun 18 08:10:17 2008  random seeds: 6aa74100 9e706eaf
Wed Jun 18 08:10:17 2008  factoring 68751271985149664776156554199563981434395577319158661478300292012981830544670599124034001 (89 digits)
Wed Jun 18 08:10:18 2008  searching for 15-digit factors
Wed Jun 18 08:10:19 2008  commencing quadratic sieve (89-digit input)
Wed Jun 18 08:10:19 2008  using multiplier of 5
Wed Jun 18 08:10:19 2008  using 64kb Opteron sieve core
Wed Jun 18 08:10:19 2008  sieve interval: 17 blocks of size 65536
Wed Jun 18 08:10:19 2008  processing polynomials in batches of 6
Wed Jun 18 08:10:19 2008  using a sieve bound of 1564307 (59333 primes)
Wed Jun 18 08:10:19 2008  using large prime bound of 125144560 (26 bits)
Wed Jun 18 08:10:19 2008  using double large prime bound of 376132987801280 (42-49 bits)
Wed Jun 18 08:10:19 2008  using trial factoring cutoff of 49 bits
Wed Jun 18 08:10:19 2008  polynomial 'A' values have 11 factors
Wed Jun 18 08:50:40 2008  59748 relations (16594 full + 43154 combined from 626616 partial), need 59429
Wed Jun 18 08:50:41 2008  begin with 643209 relations
Wed Jun 18 08:50:41 2008  reduce to 143702 relations in 11 passes
Wed Jun 18 08:50:41 2008  attempting to read 143702 relations
Wed Jun 18 08:50:42 2008  recovered 143702 relations
Wed Jun 18 08:50:42 2008  recovered 117032 polynomials
Wed Jun 18 08:50:43 2008  attempting to build 59748 cycles
Wed Jun 18 08:50:43 2008  found 59748 cycles in 5 passes
Wed Jun 18 08:50:43 2008  distribution of cycle lengths:
Wed Jun 18 08:50:43 2008     length 1 : 16594
Wed Jun 18 08:50:43 2008     length 2 : 11669
Wed Jun 18 08:50:43 2008     length 3 : 10367
Wed Jun 18 08:50:43 2008     length 4 : 7898
Wed Jun 18 08:50:43 2008     length 5 : 5487
Wed Jun 18 08:50:43 2008     length 6 : 3538
Wed Jun 18 08:50:43 2008     length 7 : 1911
Wed Jun 18 08:50:43 2008     length 9+: 2284
Wed Jun 18 08:50:43 2008  largest cycle: 18 relations
Wed Jun 18 08:50:43 2008  matrix is 59333 x 59748 (14.6 MB) with weight 3578395 (59.89/col)
Wed Jun 18 08:50:43 2008  sparse part has weight 3578395 (59.89/col)
Wed Jun 18 08:50:44 2008  filtering completed in 3 passes
Wed Jun 18 08:50:44 2008  matrix is 54872 x 54936 (13.5 MB) with weight 3307764 (60.21/col)
Wed Jun 18 08:50:44 2008  sparse part has weight 3307764 (60.21/col)
Wed Jun 18 08:50:44 2008  saving the first 48 matrix rows for later
Wed Jun 18 08:50:44 2008  matrix is 54824 x 54936 (10.0 MB) with weight 2755556 (50.16/col)
Wed Jun 18 08:50:44 2008  sparse part has weight 2295339 (41.78/col)
Wed Jun 18 08:50:44 2008  matrix includes 64 packed rows
Wed Jun 18 08:50:44 2008  using block size 21974 for processor cache size 1024 kB
Wed Jun 18 08:50:44 2008  commencing Lanczos iteration
Wed Jun 18 08:50:44 2008  memory use: 9.0 MB
Wed Jun 18 08:51:06 2008  lanczos halted after 868 iterations (dim = 54822)
Wed Jun 18 08:51:06 2008  recovered 16 nontrivial dependencies
Wed Jun 18 08:51:07 2008  prp40 factor: 1895549872520483456073059398581094704841
Wed Jun 18 08:51:07 2008  prp50 factor: 36269830185861666534847203262383843474869227650761
Wed Jun 18 08:51:07 2008  elapsed time 00:40:50

7×10154+173

c121

name 名前Sinkiti Sibata
date 日付June 21, 2008 21:34:22 UTC 2008 年 6 月 22 日 (日) 6 時 34 分 22 秒 (日本時間)
composite number 合成数
4179033269457535108462874239499699892492658734372965840608209926925321293346293445858237021220932202079153367369349524277<121>
prime factors 素因数
53214050296629292416897411287835743443231<41>
78532516246414065130742159934751039833478176834632670589017775608994139603053867<80>
factorization results 素因数分解の結果
Number: 23339_154
N=4179033269457535108462874239499699892492658734372965840608209926925321293346293445858237021220932202079153367369349524277
  ( 121 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=53214050296629292416897411287835743443231 (pp41)
 r2=78532516246414065130742159934751039833478176834632670589017775608994139603053867 (pp80)
Version: GGNFS-0.77.1-20060513-k8
Total time: 49.94 hours.
Scaled time: 99.43 units (timescale=1.991).
Factorization parameters were as follows:
name: 23339_154
n: 4179033269457535108462874239499699892492658734372965840608209926925321293346293445858237021220932202079153367369349524277
m: 10000000000000000000000000000000
c5: 7
c0: 170
skew: 1.89
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 3200001)
Primes: RFBsize:216816, AFBsize:216831, largePrimes:5819124 encountered
Relations: rels:5836380, finalFF:567100
Max relations in full relation-set: 28
Initial matrix: 433712 x 567100 with sparse part having weight 52312857.
Pruned matrix : 372931 x 375163 with weight 34242270.
Total sieving time: 47.37 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 2.21 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 49.94 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

7×10156+173

c134

name 名前Robert Backstrom
date 日付June 18, 2008 18:53:46 UTC 2008 年 6 月 19 日 (木) 3 時 53 分 46 秒 (日本時間)
composite number 合成数
45340937063522848830271449842207978416323645156832854937304036592644911819234778845627721452315265977098479900529991312027436392615903<134>
prime factors 素因数
527845703954308242079195374698855965483<39>
85898088634340166008079398675596416314617721039017551057834275703819076412196974341860416371741<95>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.1.4] [ECM]
Input number is 45340937063522848830271449842207978416323645156832854937304036592644911819234778845627721452315265977098479900529991312027436392615903 (134 digits)
Using B1=814000, B2=696806892, polynomial Dickson(3), sigma=3305346239
Step 1 took 10500ms
Step 2 took 5297ms
********** Factor found in step 2: 527845703954308242079195374698855965483
Found probable prime factor of 39 digits: 527845703954308242079195374698855965483
Probable prime cofactor 85898088634340166008079398675596416314617721039017551057834275703819076412196974341860416371741 has 95 digits

7×10158+173

c94

name 名前Sinkiti Sibata
date 日付June 18, 2008 21:27:08 UTC 2008 年 6 月 19 日 (木) 6 時 27 分 8 秒 (日本時間)
composite number 合成数
1434574010504983451855968360270997415967569984416379180128533164708864833002769858886175021007<94>
prime factors 素因数
19146295587768898703757081073237370039739239<44>
74926974982117317392890572430494126577076446433113<50>
factorization results 素因数分解の結果
Wed Jun 18 20:51:43 2008  Msieve v. 1.36
Wed Jun 18 20:51:43 2008  random seeds: 1a54057b b92e04e7
Wed Jun 18 20:51:43 2008  factoring 1434574010504983451855968360270997415967569984416379180128533164708864833002769858886175021007 (94 digits)
Wed Jun 18 20:51:45 2008  no P-1/P+1/ECM available, skipping
Wed Jun 18 20:51:45 2008  commencing quadratic sieve (94-digit input)
Wed Jun 18 20:51:45 2008  using multiplier of 3
Wed Jun 18 20:51:45 2008  using 64kb Pentium 4 sieve core
Wed Jun 18 20:51:45 2008  sieve interval: 18 blocks of size 65536
Wed Jun 18 20:51:45 2008  processing polynomials in batches of 6
Wed Jun 18 20:51:45 2008  using a sieve bound of 1987303 (74118 primes)
Wed Jun 18 20:51:45 2008  using large prime bound of 256362087 (27 bits)
Wed Jun 18 20:51:45 2008  using double large prime bound of 1367529713306016 (42-51 bits)
Wed Jun 18 20:51:45 2008  using trial factoring cutoff of 51 bits
Wed Jun 18 20:51:45 2008  polynomial 'A' values have 12 factors
Thu Jun 19 01:10:48 2008  74480 relations (18948 full + 55532 combined from 1022585 partial), need 74214
Thu Jun 19 01:10:52 2008  begin with 1041533 relations
Thu Jun 19 01:10:53 2008  reduce to 189783 relations in 11 passes
Thu Jun 19 01:10:53 2008  attempting to read 189783 relations
Thu Jun 19 01:10:59 2008  recovered 189783 relations
Thu Jun 19 01:10:59 2008  recovered 170542 polynomials
Thu Jun 19 01:10:59 2008  attempting to build 74480 cycles
Thu Jun 19 01:10:59 2008  found 74480 cycles in 5 passes
Thu Jun 19 01:10:59 2008  distribution of cycle lengths:
Thu Jun 19 01:10:59 2008     length 1 : 18948
Thu Jun 19 01:10:59 2008     length 2 : 13347
Thu Jun 19 01:10:59 2008     length 3 : 12736
Thu Jun 19 01:10:59 2008     length 4 : 10257
Thu Jun 19 01:10:59 2008     length 5 : 7348
Thu Jun 19 01:10:59 2008     length 6 : 4791
Thu Jun 19 01:10:59 2008     length 7 : 3039
Thu Jun 19 01:10:59 2008     length 9+: 4014
Thu Jun 19 01:10:59 2008  largest cycle: 21 relations
Thu Jun 19 01:10:59 2008  matrix is 74118 x 74480 (18.5 MB) with weight 4549876 (61.09/col)
Thu Jun 19 01:10:59 2008  sparse part has weight 4549876 (61.09/col)
Thu Jun 19 01:11:01 2008  filtering completed in 3 passes
Thu Jun 19 01:11:01 2008  matrix is 70109 x 70173 (17.5 MB) with weight 4299746 (61.27/col)
Thu Jun 19 01:11:01 2008  sparse part has weight 4299746 (61.27/col)
Thu Jun 19 01:11:01 2008  saving the first 48 matrix rows for later
Thu Jun 19 01:11:01 2008  matrix is 70061 x 70173 (10.1 MB) with weight 3250963 (46.33/col)
Thu Jun 19 01:11:01 2008  sparse part has weight 2225728 (31.72/col)
Thu Jun 19 01:11:01 2008  matrix includes 64 packed rows
Thu Jun 19 01:11:01 2008  using block size 21845 for processor cache size 512 kB
Thu Jun 19 01:11:02 2008  commencing Lanczos iteration
Thu Jun 19 01:11:02 2008  memory use: 10.4 MB
Thu Jun 19 01:11:52 2008  lanczos halted after 1110 iterations (dim = 70060)
Thu Jun 19 01:11:52 2008  recovered 17 nontrivial dependencies
Thu Jun 19 01:11:53 2008  prp44 factor: 19146295587768898703757081073237370039739239
Thu Jun 19 01:11:53 2008  prp50 factor: 74926974982117317392890572430494126577076446433113
Thu Jun 19 01:11:53 2008  elapsed time 04:20:10
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

7×10159+173

c123

name 名前Sinkiti Sibata
date 日付June 23, 2008 12:44:52 UTC 2008 年 6 月 23 日 (月) 21 時 44 分 52 秒 (日本時間)
composite number 合成数
101500442094257568219640318443861829710581176391361977483716297025113928351635619590108271896052359109780634699299360681789<123>
prime factors 素因数
913307551148821962130752701805568948809731623<45>
111135008099498608276431343957760234609000836576351644580968422062061256514043<78>
factorization results 素因数分解の結果
Number: 23339_159
N=101500442094257568219640318443861829710581176391361977483716297025113928351635619590108271896052359109780634699299360681789
  ( 123 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=913307551148821962130752701805568948809731623 (pp45)
 r2=111135008099498608276431343957760234609000836576351644580968422062061256514043 (pp78)
Version: GGNFS-0.77.1-20060513-k8
Total time: 75.68 hours.
Scaled time: 149.77 units (timescale=1.979).
Factorization parameters were as follows:
name: 23339_159
n: 101500442094257568219640318443861829710581176391361977483716297025113928351635619590108271896052359109780634699299360681789
m: 100000000000000000000000000000000
c5: 7
c0: 170
skew: 1.89
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 4500001)
Primes: RFBsize:283146, AFBsize:283272, largePrimes:5891949 encountered
Relations: rels:5985703, finalFF:688056
Max relations in full relation-set: 28
Initial matrix: 566483 x 688056 with sparse part having weight 56480525.
Pruned matrix : 485332 x 488228 with weight 41065012.
Total sieving time: 71.84 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 3.41 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 75.68 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

7×10160+173

c97

name 名前Robert Backstrom
date 日付June 18, 2008 17:24:43 UTC 2008 年 6 月 19 日 (木) 2 時 24 分 43 秒 (日本時間)
composite number 合成数
9858069306906950463503372591344284125766706149980496147484008217952622305609424926370754685024471<97>
prime factors 素因数
38407669121855954038639728065299289990791621<44>
256669293719185842934861313379909281435703545898255851<54>
factorization results 素因数分解の結果
Number: n
N=9858069306906950463503372591344284125766706149980496147484008217952622305609424926370754685024471
  ( 97 digits)
Divisors found:

Thu Jun 19 03:19:13 2008  prp44 factor: 38407669121855954038639728065299289990791621
Thu Jun 19 03:19:13 2008  prp54 factor: 256669293719185842934861313379909281435703545898255851
Thu Jun 19 03:19:13 2008  elapsed time 00:16:07 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 6.39 hours.
Scaled time: 9.30 units (timescale=1.454).
Factorization parameters were as follows:
name: KA_2_3_159_9
n:  9858069306906950463503372591344284125766706149980496147484008217952622305609424926370754685024471
m:  15110236062892358326859
deg: 4
c4: 189106680
c3: -174424676846
c2: -1805591920498891697
c1: 846965004993150148
c0: 1950101995051999511698950
skew: 1635.250
type: gnfs
# adj. I(F,S) = 54.947
# E(F1,F2) = 2.502940e-05
# GGNFS version 0.77.1-20051202-athlon polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1213786088.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved  special-q in [100000, 1060357)
Primes: RFBsize:92938, AFBsize:93239, largePrimes:1777853 encountered
Relations: rels:1790024, finalFF:200325
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 6.30 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,96,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 6.39 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

7×10161+173

c158

name 名前Robert Backstrom
date 日付June 21, 2008 13:00:42 UTC 2008 年 6 月 21 日 (土) 22 時 0 分 42 秒 (日本時間)
composite number 合成数
50979535357949166120457359260068458233194960308790328453863520501056004660986089869638045298958560920544752749253513946544315781807588667977569004442502366907<158>
prime factors 素因数
417946621514914850377965094249262197174211343113481758802230384518928472269<75>
121976187229760653869170760767223283184214542228118013644651384235208199727139732903<84>
factorization results 素因数分解の結果
Number: n
N=50979535357949166120457359260068458233194960308790328453863520501056004660986089869638045298958560920544752749253513946544315781807588667977569004442502366907
  ( 158 digits)
SNFS difficulty: 161 digits.
Divisors found:

Sat Jun 21 20:08:55 2008  prp75 factor: 417946621514914850377965094249262197174211343113481758802230384518928472269
Sat Jun 21 20:08:55 2008  prp84 factor: 121976187229760653869170760767223283184214542228118013644651384235208199727139732903
Sat Jun 21 20:08:55 2008  elapsed time 01:17:34 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 39.59 hours.
Scaled time: 42.24 units (timescale=1.067).
Factorization parameters were as follows:
name: KA_2_3_160_9
n: 50979535357949166120457359260068458233194960308790328453863520501056004660986089869638045298958560920544752749253513946544315781807588667977569004442502366907
m: 100000000000000000000000000000000
deg: 5
c5: 70
c0: 17
skew: 0.75
type: snfs
# These parameters should be manually set:
rlim: 4000000
alim: 4000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 1900001)
Primes: RFBsize:283146, AFBsize:283347, largePrimes:7532339 encountered
Relations: rels:7183166, finalFF:710737
Max relations in full relation-set: 28
Initial matrix: 566560 x 710737 with sparse part having weight 43297736.
Pruned matrix : 437204 x 440100 with weight 23469831.
Total sieving time: 39.36 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,4000000,4000000,28,28,48,48,2.5,2.5,100000
total time: 39.59 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

7×10162+173

c147

name 名前Robert Backstrom
date 日付June 22, 2008 07:36:27 UTC 2008 年 6 月 22 日 (日) 16 時 36 分 27 秒 (日本時間)
composite number 合成数
171080678795055855404521716225376616271445673441345458338745464113339205428455017351146799445290278089868761209155962498970919891782836131864643829<147>
prime factors 素因数
43557628308424616166797635232339288714119<41>
3927685813921292174635198623350959368323057014448428705707920626668776971593108079668441340990588761661091<106>
factorization results 素因数分解の結果
Number: n
N=171080678795055855404521716225376616271445673441345458338745464113339205428455017351146799445290278089868761209155962498970919891782836131864643829
  ( 147 digits)
SNFS difficulty: 162 digits.
Divisors found:

Sun Jun 22 17:30:45 2008  prp41 factor: 43557628308424616166797635232339288714119
Sun Jun 22 17:30:45 2008  prp106 factor: 3927685813921292174635198623350959368323057014448428705707920626668776971593108079668441340990588761661091
Sun Jun 22 17:30:45 2008  elapsed time 01:24:32 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 43.24 hours.
Scaled time: 79.08 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_2_3_161_9
n: 171080678795055855404521716225376616271445673441345458338745464113339205428455017351146799445290278089868761209155962498970919891782836131864643829
skew: 0.48
deg: 5
c5: 700
c0: 17
m: 100000000000000000000000000000000
type: snfs
rlim: 4500000
alim: 4500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2673527)
Primes: RFBsize:315948, AFBsize:319141, largePrimes:7588284 encountered
Relations: rels:7132335, finalFF:663363
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 43.01 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,4500000,4500000,28,28,48,48,2.5,2.5,100000
total time: 43.24 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

7×10163+173

c161

name 名前Robert Backstrom
date 日付June 23, 2008 11:51:11 UTC 2008 年 6 月 23 日 (月) 20 時 51 分 11 秒 (日本時間)
composite number 合成数
97629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762901<161>
prime factors 素因数
1538551780009680675999212973840188207025515314791083<52>
63455134257676194489120480630580987480409038207260499417697608713351090232023365272936682525567211829286754047<110>
factorization results 素因数分解の結果
Number: n
N=97629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762901
  ( 161 digits)
SNFS difficulty: 163 digits.
Divisors found:

Mon Jun 23 20:47:10 2008  prp52 factor: 1538551780009680675999212973840188207025515314791083
Mon Jun 23 20:47:10 2008  prp110 factor: 63455134257676194489120480630580987480409038207260499417697608713351090232023365272936682525567211829286754047
Mon Jun 23 20:47:10 2008  elapsed time 02:10:56 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 61.47 hours.
Scaled time: 108.18 units (timescale=1.760).
Factorization parameters were as follows:
name: KA_2_3_162_9
n: 97629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762901
type: snfs
skew: 0.30
deg: 5
c5: 7000
c0: 17
m: 100000000000000000000000000000000
rlim: 4600000
alim: 4600000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 3000001)
Primes: RFBsize:322441, AFBsize:322486, largePrimes:7447109 encountered
Relations: rels:6929923, finalFF:646339
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 61.20 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,4600000,4600000,28,28,48,48,2.3,2.3,100000
total time: 61.47 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

7×10164+173

c154

name 名前Robert Backstrom
date 日付June 26, 2008 03:09:19 UTC 2008 年 6 月 26 日 (木) 12 時 9 分 19 秒 (日本時間)
composite number 合成数
2406168363633299719066077856603911691342633210075679056961401519069627139871496470530434083135582234263916180531155483725562058518778534518235727395820163<154>
prime factors 素因数
20447108973637357731169193895657060177008590426856381850872885970740323<71>
117677680826937163671024204749611691538446639389633232890693130285209291102895498081<84>
factorization results 素因数分解の結果
Number: n
N=2406168363633299719066077856603911691342633210075679056961401519069627139871496470530434083135582234263916180531155483725562058518778534518235727395820163
  ( 154 digits)
SNFS difficulty: 165 digits.
Divisors found:

Thu Jun 26 13:04:03 2008  prp71 factor: 20447108973637357731169193895657060177008590426856381850872885970740323
Thu Jun 26 13:04:03 2008  prp84 factor: 117677680826937163671024204749611691538446639389633232890693130285209291102895498081
Thu Jun 26 13:04:03 2008  elapsed time 02:18:29 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 79.25 hours.
Scaled time: 115.15 units (timescale=1.453).
Factorization parameters were as follows:
name: KA_2_3_163_9
n: 2406168363633299719066077856603911691342633210075679056961401519069627139871496470530434083135582234263916180531155483725562058518778534518235727395820163
skew: 1.89
deg: 5
c5: 7
c0: 170
m: 1000000000000000000000000000000000
type: snfs
rlim: 4800000
alim: 4800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 3800081)
Primes: RFBsize:335439, AFBsize:336417, largePrimes:8020664 encountered
Relations: rels:7582836, finalFF:722525
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 78.95 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4800000,4800000,28,28,48,48,2.5,2.5,100000
total time: 79.25 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

7×10167+173

c111

name 名前Serge Batalov
date 日付June 21, 2008 21:37:18 UTC 2008 年 6 月 22 日 (日) 6 時 37 分 18 秒 (日本時間)
composite number 合成数
453847278100636257345202489577127970120979761678674473533642473400515264972284842096436647814028980618284824691<111>
prime factors 素因数
44403506544729569591382802255945107907<38>
10220978328444765863502623751657798456955829517191510572947586215944141713<74>
factorization results 素因数分解の結果
Sat Jun 21 09:55:24 2008  Msieve v. 1.36
Sat Jun 21 09:55:24 2008  random seeds: 4fcf0dfc 252e6970
Sat Jun 21 09:55:24 2008  factoring 453847278100636257345202489577127970120979761678674473533642473400515264972284842096436647814028980618284824691 (111 digits)
Sat Jun 21 09:55:25 2008  no P-1/P+1/ECM available, skipping
Sat Jun 21 09:55:25 2008  commencing number field sieve (111-digit input)
Sat Jun 21 09:55:25 2008  R0: -2648889719843403962270
Sat Jun 21 09:55:25 2008  R1:  284568061549
Sat Jun 21 09:55:25 2008  A0:  1173007414994245235539459029
Sat Jun 21 09:55:25 2008  A1:  99595796075874533170621
Sat Jun 21 09:55:25 2008  A2: -978964025831487987
Sat Jun 21 09:55:25 2008  A3: -74405497406433
Sat Jun 21 09:55:25 2008  A4:  828092306
Sat Jun 21 09:55:25 2008  A5:  3480
Sat Jun 21 09:55:25 2008  size score = 1.835450e-11, Murphy alpha = -5.910601, combined = 1.316405e-10
Sat Jun 21 09:55:25 2008
Sat Jun 21 09:55:25 2008  commencing linear algebra
Sat Jun 21 09:55:25 2008  read 468867 cycles
Sat Jun 21 09:55:26 2008  cycles contain 1696762 unique relations
Sat Jun 21 09:55:41 2008  read 1696762 relations
Sat Jun 21 09:55:43 2008  using 32 quadratic characters above 134217410
Sat Jun 21 09:56:02 2008  building initial matrix
Sat Jun 21 09:56:19 2008  memory use: 214.2 MB
Sat Jun 21 09:56:22 2008  read 468867 cycles
Sat Jun 21 09:56:22 2008  matrix is 468576 x 468867 (142.8 MB) with weight 47963556 (102.30/col)
Sat Jun 21 09:56:22 2008  sparse part has weight 31802368 (67.83/col)
Sat Jun 21 09:56:34 2008  filtering completed in 3 passes
Sat Jun 21 09:56:34 2008  matrix is 465332 x 465532 (142.1 MB) with weight 47694935 (102.45/col)
Sat Jun 21 09:56:34 2008  sparse part has weight 31664613 (68.02/col)
Sat Jun 21 09:56:40 2008  read 465532 cycles
Sat Jun 21 09:56:41 2008  matrix is 465332 x 465532 (142.1 MB) with weight 47694935 (102.45/col)
Sat Jun 21 09:56:41 2008  sparse part has weight 31664613 (68.02/col)
Sat Jun 21 09:56:41 2008  saving the first 48 matrix rows for later
Sat Jun 21 09:56:41 2008  matrix is 465284 x 465532 (138.4 MB) with weight 37310151 (80.15/col)
Sat Jun 21 09:56:41 2008  sparse part has weight 31614095 (67.91/col)
Sat Jun 21 09:56:41 2008  matrix includes 64 packed rows
Sat Jun 21 09:56:41 2008  using block size 43690 for processor cache size 1024 kB
Sat Jun 21 09:56:44 2008  commencing Lanczos iteration
Sat Jun 21 09:56:44 2008  memory use: 126.8 MB
Sat Jun 21 10:39:05 2008  lanczos halted after 7359 iterations (dim = 465284)
Sat Jun 21 10:39:06 2008  recovered 44 nontrivial dependencies
Sat Jun 21 10:39:06 2008  elapsed time 00:43:42
Sat Jun 21 10:39:06 2008
Sat Jun 21 10:39:06 2008
Sat Jun 21 10:39:06 2008  Msieve v. 1.36
Sat Jun 21 10:39:06 2008  random seeds: b323b31d 6a581883
Sat Jun 21 10:39:06 2008  factoring 453847278100636257345202489577127970120979761678674473533642473400515264972284842096436647814028980618284824691 (111 digits)
Sat Jun 21 10:39:07 2008  no P-1/P+1/ECM available, skipping
Sat Jun 21 10:39:07 2008  commencing number field sieve (111-digit input)
Sat Jun 21 10:39:07 2008  R0: -2648889719843403962270
Sat Jun 21 10:39:07 2008  R1:  284568061549
Sat Jun 21 10:39:07 2008  A0:  1173007414994245235539459029
Sat Jun 21 10:39:07 2008  A1:  99595796075874533170621
Sat Jun 21 10:39:07 2008  A2: -978964025831487987
Sat Jun 21 10:39:07 2008  A3: -74405497406433
Sat Jun 21 10:39:07 2008  A4:  828092306
Sat Jun 21 10:39:07 2008  A5:  3480
Sat Jun 21 10:39:07 2008  size score = 1.835450e-11, Murphy alpha = -5.910601, combined = 1.316405e-10
Sat Jun 21 10:39:07 2008
Sat Jun 21 10:39:07 2008  commencing square root phase
Sat Jun 21 10:39:07 2008  reading relations for dependency 1
Sat Jun 21 10:39:07 2008  read 233173 cycles
Sat Jun 21 10:39:08 2008  cycles contain 1034223 unique relations
Sat Jun 21 10:39:17 2008  read 1034223 relations
Sat Jun 21 10:39:23 2008  multiplying 1470374 relations
Sat Jun 21 10:42:36 2008  multiply complete, coefficients have about 60.48 million bits
Sat Jun 21 10:42:38 2008  initial square root is modulo 481325497

prp38 factor: 44403506544729569591382802255945107907
prp74 factor: 10220978328444765863502623751657798456955829517191510572947586215944141713

Sat Jun 21 10:49:18 2008  elapsed time 00:10:12
software ソフトウェア
pol51; msieve 1.36
execution environment 実行環境
Opteron 8220 (2.8GHz); Linux

7×10170+173

c168

name 名前Robert Backstrom
date 日付June 26, 2008 10:03:08 UTC 2008 年 6 月 26 日 (木) 19 時 3 分 8 秒 (日本時間)
composite number 合成数
976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762901<168>
prime factors 素因数
2734097213579852352604376181511<31>
587102801544801723967976976231640540307396605327<48>
608206110816364789917478064076131806984451756354900504967234326972616286107690838688949133<90>
factorization results 素因数分解の結果
GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762901 (168 digits)
Using B1=738000, B2=544564546, polynomial Dickson(3), sigma=493642705
Step 1 took 15172ms
Step 2 took 8266ms
********** Factor found in step 2: 2734097213579852352604376181511
Found probable prime factor of 31 digits: 2734097213579852352604376181511
Composite cofactor 357079511576955902498941916492360411034102781813871575217201017566042447728954311622582640108988805296696748643381230960452338753179831491 has 138 digits



Number: n
N=357079511576955902498941916492360411034102781813871575217201017566042447728954311622582640108988805296696748643381230960452338753179831491
  ( 138 digits)
SNFS difficulty: 170 digits.
Divisors found:

Thu Jun 26 19:55:29 2008  prp48 factor: 587102801544801723967976976231640540307396605327
Thu Jun 26 19:55:29 2008  prp90 factor: 608206110816364789917478064076131806984451756354900504967234326972616286107690838688949133
Thu Jun 26 19:55:29 2008  elapsed time 02:50:04 (Msieve 1.36)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 109.62 hours.
Scaled time: 143.49 units (timescale=1.309).
Factorization parameters were as follows:
name: KA_2_3_169_9
n: 357079511576955902498941916492360411034102781813871575217201017566042447728954311622582640108988805296696748643381230960452338753179831491
skew: 1.19
deg: 5
c5: 7
c0: 17
m: 10000000000000000000000000000000000
type: snfs
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 4200113)
Primes: RFBsize:425648, AFBsize:426207, largePrimes:8293957 encountered
Relations: rels:7938547, finalFF:885064
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 109.19 hours.
Total relation processing time: 0.42 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,48,48,2.5,2.5,100000
total time: 109.62 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

7×10175+173

c154

name 名前yoshida
date 日付December 9, 2009 09:46:21 UTC 2009 年 12 月 9 日 (水) 18 時 46 分 21 秒 (日本時間)
composite number 合成数
2070351456795117553558270718726790833044380782036310828359575179480567729028641533439203231515578311502363046326991595489940095893568406641805115030186663<154>
prime factors 素因数
26604037908536981465562648809727926589746663642702901812957027<62>
77820948230221907813638916631944197307795299733591181906080936319588979797488625278156383469<92>
factorization results 素因数分解の結果
Number: 23339_175
N=2070351456795117553558270718726790833044380782036310828359575179480567729028641533439203231515578311502363046326991595489940095893568406641805115030186663
  ( 154 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=26604037908536981465562648809727926589746663642702901812957027 (pp62)
 r2=77820948230221907813638916631944197307795299733591181906080936319588979797488625278156383469 (pp92)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 340.07 hours.
Scaled time: 786.91 units (timescale=2.314).
Factorization parameters were as follows:
n: 2070351456795117553558270718726790833044380782036310828359575179480567729028641533439203231515578311502363046326991595489940095893568406641805115030186663
m: 100000000000000000000000000000000000
deg: 5
c5: 7
c0: 17
skew: 1.19
type: snfs
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 13400001)
Primes: RFBsize:501962, AFBsize:502556, largePrimes:7532379 encountered
Relations: rels:8852741, finalFF:1897452
Max relations in full relation-set: 32
Initial matrix: 1004583 x 1897452 with sparse part having weight 145358172.
Pruned matrix : 506211 x 511297 with weight 316523678.
Total sieving time: 328.63 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 11.18 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 340.07 hours.
 --------- CPU info (if available) ----------
Intel(R) Xeon(R) CPU           E5450  @ 3.00GHz stepping 0a
Intel(R) Xeon(R) CPU           E5450  @ 3.00GHz stepping 0a
Intel(R) Xeon(R) CPU           E5450  @ 3.00GHz stepping 0a
Intel(R) Xeon(R) CPU           E5450  @ 3.00GHz stepping 0a
Intel(R) Xeon(R) CPU           E5450  @ 3.00GHz stepping 0a
Intel(R) Xeon(R) CPU           E5450  @ 3.00GHz stepping 0a
Intel(R) Xeon(R) CPU           E5450  @ 3.00GHz stepping 0a
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 32944636k/35127296k available (2460k kernel code, 603560k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5988.95 BogoMIPS (lpj=2994477)
Calibrating delay using timer specific routine.. 5985.01 BogoMIPS (lpj=2992505)
Calibrating delay using timer specific routine.. 5984.97 BogoMIPS (lpj=2992487)
Calibrating delay using timer specific routine.. 5985.05 BogoMIPS (lpj=2992527)
Calibrating delay using timer specific routine.. 5985.21 BogoMIPS (lpj=2992605)
Calibrating delay using timer specific routine.. 5985.02 BogoMIPS (lpj=2992513)
Calibrating delay using timer specific routine.. 5985.05 BogoMIPS (lpj=2992529)
Calibrating delay using timer specific routine.. 5985.00 BogoMIPS (lpj=2992504)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 17, 2008 09:00:00 UTC 2008 年 6 月 17 日 (火) 18 時 0 分 0 秒 (日本時間)

7×10176+173

c161

name 名前Wataru Sakai
date 日付August 28, 2011 06:53:12 UTC 2011 年 8 月 28 日 (日) 15 時 53 分 12 秒 (日本時間)
composite number 合成数
46061867080109862680232667322260373361603066948466870884453245482685424714551712271448344521950528820643714774742024518586366758042518002577953283444704787115631<161>
prime factors 素因数
2342112195015672486041820743219194593209<40>
19666806388752710854493351649196137435032685934196213166382253792330602748931795058387844646416864749552777717977579430759<122>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2784583031
Step 1 took 50108ms
Step 2 took 18409ms
********** Factor found in step 2: 2342112195015672486041820743219194593209
Found probable prime factor of 40 digits: 2342112195015672486041820743219194593209
Probable prime cofactor 19666806388752710854493351649196137435032685934196213166382253792330602748931795058387844646416864749552777717977579430759 has 122 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 17, 2008 09:00:00 UTC 2008 年 6 月 17 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 14, 2010 12:08:21 UTC 2010 年 10 月 14 日 (木) 21 時 8 分 21 秒 (日本時間)
403e62144110Ignacio SantosOctober 14, 2010 12:08:21 UTC 2010 年 10 月 14 日 (木) 21 時 8 分 21 秒 (日本時間)
2034Wataru SakaiAugust 28, 2011 04:35:55 UTC 2011 年 8 月 28 日 (日) 13 時 35 分 55 秒 (日本時間)
4511e632 / 3991Ignacio SantosOctober 14, 2010 12:08:21 UTC 2010 年 10 月 14 日 (木) 21 時 8 分 21 秒 (日本時間)

7×10179+173

c116

name 名前Sinkiti Sibata
date 日付June 24, 2008 02:37:46 UTC 2008 年 6 月 24 日 (火) 11 時 37 分 46 秒 (日本時間)
composite number 合成数
14193025265569445974228728704378542441338653383710387152481587867346291078132553015148374680826377638347769312818847<116>
prime factors 素因数
1083418340932707176216084357421154856286028373779<49>
13100226135502534549666209653747467840650514145509640203419928010693<68>
factorization results 素因数分解の結果
Number: 23339_179
N=14193025265569445974228728704378542441338653383710387152481587867346291078132553015148374680826377638347769312818847
  ( 116 digits)
Divisors found:
 r1=1083418340932707176216084357421154856286028373779 (pp49)
 r2=13100226135502534549666209653747467840650514145509640203419928010693 (pp68)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 68.57 hours.
Scaled time: 46.28 units (timescale=0.675).
Factorization parameters were as follows:
name: 23339_179
n: 14193025265569445974228728704378542441338653383710387152481587867346291078132553015148374680826377638347769312818847
skew: 53352.58
# norm 4.55e+15
c5: 22800
c4: -1212675256
c3: -208058952557963
c2: 6664111048874094952
c1: 245754196746015982431972
c0: 1432227789190934188360900848
# alpha -5.51
Y1: 2378383133929
Y0: -14415469381987635808679
# Murphy_E 5.17e-10
# M 814671274571655966892064727200267112760459559660949635982948791244348566256512818571951807542954013572351015531657
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2250000, 3570001)
Primes: RFBsize:315948, AFBsize:315628, largePrimes:7558239 encountered
Relations: rels:7641850, finalFF:796002
Max relations in full relation-set: 28
Initial matrix: 631652 x 796002 with sparse part having weight 57923912.
Pruned matrix : 485483 x 488705 with weight 31317677.
Polynomial selection time: 3.01 hours.
Total sieving time: 54.29 hours.
Total relation processing time: 0.54 hours.
Matrix solve time: 10.31 hours.
Time per square root: 0.42 hours.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 68.57 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

7×10180+173

c121

name 名前Serge Batalov
date 日付June 29, 2008 02:57:56 UTC 2008 年 6 月 29 日 (日) 11 時 57 分 56 秒 (日本時間)
composite number 合成数
1594650479345668205679297248996417788309645764071629470283797649136969454552884601269365941059206432039370206471942940911<121>
prime factors 素因数
41874999678888405957858413767086436069870427179<47>
38081205768930982523881149611719815860882075982791143081161151118407749709<74>
factorization results 素因数分解の結果
Number: 23339_180
N=1594650479345668205679297248996417788309645764071629470283797649136969454552884601269365941059206432039370206471942940911
  (121 digits)
Divisors found:
 r1=41874999678888405957858413767086436069870427179 (prp47)
 r2=38081205768930982523881149611719815860882075982791143081161151118407749709 (prp74)
Version: 
Total time: 34 hours.
Scaled time: 97.648 units (timescale=2.872).
Factorization parameters were as follows:

# poly selected by pol51 - 1.5 hours

name: 23339_180
n: 1594650479345668205679297248996417788309645764071629470283797649136969454552884601269365941059206432039370206471942940911
skew: 35462.53
# norm 6.04e+16
c5: 38340
c4: -7645887822
c3: 2237821005459970
c2: 7602474157459019760
c1: -538696810513896633321935
c0: -1823549329867625284056766348
# alpha -5.80
Y1: 139319909443
Y0: -132985012360110909014155
# Murphy_E 2.48e-10
# M 788889806718177053534508787704877298154248623318878955959190838689725553459502855482663675053605970537986455887147354079
type: gnfs
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2500000, 4840001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 667726 x 667974
Total sieving time: 30:45:50 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 01:51:54 hours.
Time per square root: 00:38:04 hours.
Prototype def-par.txt line would be:
gnfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5000000,5000000,27,27,50,50,2.4,2.4,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
Memory: 33030820k/34078720k available (1920k kernel code, 522988k reserved, 885k data, 196k init)
Calibrating delay using timer specific routine.. 5609.80 BogoMIPS (lpj=11219618)


Thu Jun 26 23:58:49 2008  Msieve v. 1.36
Thu Jun 26 23:58:49 2008  random seeds: 90f676d8 a0df0a85
Thu Jun 26 23:58:49 2008  factoring 1594650479345668205679297248996417788309645764071629470283797649136969454552884601269365941059206432039370206471942940911 (121 digits)
Thu Jun 26 23:58:51 2008  no P-1/P+1/ECM available, skipping
Thu Jun 26 23:58:51 2008  commencing number field sieve (121-digit input)
Thu Jun 26 23:58:51 2008  R0: -132985012360110909014155
Thu Jun 26 23:58:51 2008  R1:  139319909443
Thu Jun 26 23:58:51 2008  A0: -1823549329867625284056766348
Thu Jun 26 23:58:51 2008  A1: -538696810513896633321935
Thu Jun 26 23:58:51 2008  A2:  7602474157459019760
Thu Jun 26 23:58:51 2008  A3:  2237821005459970
Thu Jun 26 23:58:51 2008  A4: -7645887822
Thu Jun 26 23:58:51 2008  A5:  38340
Thu Jun 26 23:58:51 2008  size score = 1.875082e-12, Murphy alpha = -5.801511, combined = 1.296806e-11
Thu Jun 26 23:58:51 2008  generating factor base
Thu Jun 26 23:58:54 2008  factor base complete:
Thu Jun 26 23:58:54 2008  348513 rational roots (max prime = 4999999)
Thu Jun 26 23:58:54 2008  348157 algebraic roots (max prime = 4999999)
Thu Jun 26 23:58:54 2008  a range: [-4000000, 4000000]
Thu Jun 26 23:58:54 2008  b range: [1, 300]
Thu Jun 26 23:58:54 2008  number of hash buckets: 77
Thu Jun 26 23:58:54 2008  sieve block size: 65536
Thu Jun 26 23:58:54 2008  
Thu Jun 26 23:58:54 2008  maximum RFB prime: 4999999
Thu Jun 26 23:58:54 2008  RFB entries: 348513
Thu Jun 26 23:58:54 2008  medium RFB entries: 6542
Thu Jun 26 23:58:54 2008  resieved RFB entries: 6374
Thu Jun 26 23:58:54 2008  small RFB prime powers: 25
Thu Jun 26 23:58:54 2008  projective RFB roots: 5
Thu Jun 26 23:58:54 2008  RFB trial factoring cutoff: 58 or 87 bits
Thu Jun 26 23:58:54 2008  single large prime RFB range: 22 - 27 bits
Thu Jun 26 23:58:54 2008  double large prime RFB range: 45 - 52 bits
Thu Jun 26 23:58:54 2008  triple large prime RFB range: 70 - 79 bits
Thu Jun 26 23:58:54 2008  ...

Sat Jun 28 14:45:50 2008  
Sat Jun 28 14:45:50 2008  Msieve v. 1.36
Sat Jun 28 14:45:50 2008  random seeds: 6a3598f8 87614cc3
Sat Jun 28 14:45:50 2008  factoring 1594650479345668205679297248996417788309645764071629470283797649136969454552884601269365941059206432039370206471942940911 (121 digits)
Sat Jun 28 14:45:51 2008  no P-1/P+1/ECM available, skipping
Sat Jun 28 14:45:51 2008  commencing number field sieve (121-digit input)
Sat Jun 28 14:45:51 2008  R0: -132985012360110909014155
Sat Jun 28 14:45:51 2008  R1:  139319909443
Sat Jun 28 14:45:51 2008  A0: -1823549329867625284056766348
Sat Jun 28 14:45:51 2008  A1: -538696810513896633321935
Sat Jun 28 14:45:51 2008  A2:  7602474157459019760
Sat Jun 28 14:45:51 2008  A3:  2237821005459970
Sat Jun 28 14:45:51 2008  A4: -7645887822
Sat Jun 28 14:45:51 2008  A5:  38340
Sat Jun 28 14:45:51 2008  size score = 1.875082e-12, Murphy alpha = -5.801511, combined = 1.296806e-11
Sat Jun 28 14:45:53 2008  restarting with 9447173 relations
Sat Jun 28 14:45:53 2008  
Sat Jun 28 14:45:53 2008  commencing relation filtering
Sat Jun 28 14:45:53 2008  commencing duplicate removal, pass 1
Sat Jun 28 14:47:13 2008  found 1803884 hash collisions in 9447173 relations
Sat Jun 28 14:47:13 2008  commencing duplicate removal, pass 2
Sat Jun 28 14:47:20 2008  found 1954127 duplicates and 7493046 unique relations
Sat Jun 28 14:47:20 2008  memory use: 65.3 MB
Sat Jun 28 14:47:22 2008  ignoring smallest 334421 rational and 334153 algebraic ideals
Sat Jun 28 14:47:22 2008  filtering rational ideals above 4784128
Sat Jun 28 14:47:22 2008  filtering algebraic ideals above 4784128
Sat Jun 28 14:47:22 2008  need 1002861 more relations than ideals
Sat Jun 28 14:47:22 2008  commencing singleton removal, pass 1
Sat Jun 28 14:48:31 2008  relations with 0 large ideals: 149207
Sat Jun 28 14:48:31 2008  relations with 1 large ideals: 1077069
Sat Jun 28 14:48:31 2008  relations with 2 large ideals: 2678793
Sat Jun 28 14:48:31 2008  relations with 3 large ideals: 2659073
Sat Jun 28 14:48:31 2008  relations with 4 large ideals: 899179
Sat Jun 28 14:48:31 2008  relations with 5 large ideals: 29496
Sat Jun 28 14:48:31 2008  relations with 6 large ideals: 229
Sat Jun 28 14:48:31 2008  relations with 7+ large ideals: 0
Sat Jun 28 14:48:31 2008  7493046 relations and about 7336098 large ideals
Sat Jun 28 14:48:31 2008  commencing singleton removal, pass 2
Sat Jun 28 14:49:38 2008  found 3525823 singletons
Sat Jun 28 14:49:38 2008  current dataset: 3967223 relations and about 3186249 large ideals
Sat Jun 28 14:49:38 2008  commencing singleton removal, pass 3
Sat Jun 28 14:50:14 2008  found 677892 singletons
Sat Jun 28 14:50:14 2008  current dataset: 3289331 relations and about 2463551 large ideals
Sat Jun 28 14:50:14 2008  commencing singleton removal, pass 4
Sat Jun 28 14:50:44 2008  found 196603 singletons
Sat Jun 28 14:50:44 2008  current dataset: 3092728 relations and about 2262445 large ideals
Sat Jun 28 14:50:44 2008  commencing singleton removal, final pass
Sat Jun 28 14:51:13 2008  memory use: 48.8 MB
Sat Jun 28 14:51:14 2008  commencing in-memory singleton removal
Sat Jun 28 14:51:14 2008  begin with 3092728 relations and 2380225 unique ideals
Sat Jun 28 14:51:18 2008  reduce to 2697937 relations and 1977905 ideals in 14 passes
Sat Jun 28 14:51:18 2008  max relations containing the same ideal: 39
Sat Jun 28 14:51:19 2008  filtering rational ideals above 720000
Sat Jun 28 14:51:19 2008  filtering algebraic ideals above 720000
Sat Jun 28 14:51:19 2008  need 116384 more relations than ideals
Sat Jun 28 14:51:19 2008  commencing singleton removal, final pass
Sat Jun 28 14:51:49 2008  keeping 2366367 ideals with weight <= 20, new excess is 279161
Sat Jun 28 14:51:50 2008  memory use: 67.1 MB
Sat Jun 28 14:51:51 2008  commencing in-memory singleton removal
Sat Jun 28 14:51:52 2008  begin with 2697937 relations and 2366367 unique ideals
Sat Jun 28 14:51:57 2008  reduce to 2684931 relations and 2353350 ideals in 12 passes
Sat Jun 28 14:51:57 2008  max relations containing the same ideal: 20
Sat Jun 28 14:52:00 2008  removing 147313 relations and 135061 ideals in 12252 cliques
Sat Jun 28 14:52:00 2008  commencing in-memory singleton removal
Sat Jun 28 14:52:00 2008  begin with 2537618 relations and 2353350 unique ideals
Sat Jun 28 14:52:03 2008  reduce to 2532155 relations and 2212784 ideals in 7 passes
Sat Jun 28 14:52:03 2008  max relations containing the same ideal: 20
Sat Jun 28 14:52:05 2008  removing 108716 relations and 96464 ideals in 12252 cliques
Sat Jun 28 14:52:05 2008  commencing in-memory singleton removal
Sat Jun 28 14:52:05 2008  begin with 2423439 relations and 2212784 unique ideals
Sat Jun 28 14:52:08 2008  reduce to 2420149 relations and 2113014 ideals in 7 passes
Sat Jun 28 14:52:08 2008  max relations containing the same ideal: 20
Sat Jun 28 14:52:09 2008  relations with 0 large ideals: 14446
Sat Jun 28 14:52:09 2008  relations with 1 large ideals: 117305
Sat Jun 28 14:52:09 2008  relations with 2 large ideals: 394599
Sat Jun 28 14:52:09 2008  relations with 3 large ideals: 691417
Sat Jun 28 14:52:09 2008  relations with 4 large ideals: 675705
Sat Jun 28 14:52:09 2008  relations with 5 large ideals: 376977
Sat Jun 28 14:52:09 2008  relations with 6 large ideals: 123053
Sat Jun 28 14:52:09 2008  relations with 7+ large ideals: 26647
Sat Jun 28 14:52:09 2008  commencing 2-way merge
Sat Jun 28 14:52:11 2008  reduce to 1418089 relation sets and 1110954 unique ideals
Sat Jun 28 14:52:11 2008  commencing full merge
Sat Jun 28 14:52:32 2008  memory use: 108.3 MB
Sat Jun 28 14:52:32 2008  found 697143 cycles, need 671154
Sat Jun 28 14:52:32 2008  weight of 671154 cycles is about 47207664 (70.34/cycle)
Sat Jun 28 14:52:32 2008  distribution of cycle lengths:
Sat Jun 28 14:52:32 2008  1 relations: 82867
Sat Jun 28 14:52:32 2008  2 relations: 77630
Sat Jun 28 14:52:32 2008  3 relations: 77110
Sat Jun 28 14:52:32 2008  4 relations: 70420
Sat Jun 28 14:52:32 2008  5 relations: 62652
Sat Jun 28 14:52:32 2008  6 relations: 53841
Sat Jun 28 14:52:32 2008  7 relations: 45748
Sat Jun 28 14:52:32 2008  8 relations: 39137
Sat Jun 28 14:52:32 2008  9 relations: 32448
Sat Jun 28 14:52:32 2008  10+ relations: 129301
Sat Jun 28 14:52:32 2008  heaviest cycle: 20 relations
Sat Jun 28 14:52:32 2008  commencing cycle optimization
Sat Jun 28 14:52:34 2008  start with 3953499 relations
Sat Jun 28 14:52:43 2008  pruned 44706 relations
Sat Jun 28 14:52:43 2008  memory use: 133.5 MB
Sat Jun 28 14:52:43 2008  distribution of cycle lengths:
Sat Jun 28 14:52:43 2008  1 relations: 82867
Sat Jun 28 14:52:43 2008  2 relations: 78135
Sat Jun 28 14:52:43 2008  3 relations: 78214
Sat Jun 28 14:52:43 2008  4 relations: 71049
Sat Jun 28 14:52:43 2008  5 relations: 63458
Sat Jun 28 14:52:43 2008  6 relations: 54339
Sat Jun 28 14:52:43 2008  7 relations: 46219
Sat Jun 28 14:52:43 2008  8 relations: 39107
Sat Jun 28 14:52:43 2008  9 relations: 32511
Sat Jun 28 14:52:43 2008  10+ relations: 125255
Sat Jun 28 14:52:43 2008  heaviest cycle: 20 relations
Sat Jun 28 14:52:44 2008  elapsed time 00:06:54
Sat Jun 28 14:52:45 2008  
Sat Jun 28 14:52:45 2008  
Sat Jun 28 14:52:45 2008  Msieve v. 1.36
Sat Jun 28 14:52:45 2008  random seeds: 4fe81a4b 0280ad61
Sat Jun 28 14:52:45 2008  factoring 1594650479345668205679297248996417788309645764071629470283797649136969454552884601269365941059206432039370206471942940911 (121 digits)
Sat Jun 28 14:52:46 2008  no P-1/P+1/ECM available, skipping
Sat Jun 28 14:52:46 2008  commencing number field sieve (121-digit input)
Sat Jun 28 14:52:46 2008  R0: -132985012360110909014155
Sat Jun 28 14:52:46 2008  R1:  139319909443
Sat Jun 28 14:52:46 2008  A0: -1823549329867625284056766348
Sat Jun 28 14:52:46 2008  A1: -538696810513896633321935
Sat Jun 28 14:52:46 2008  A2:  7602474157459019760
Sat Jun 28 14:52:46 2008  A3:  2237821005459970
Sat Jun 28 14:52:46 2008  A4: -7645887822
Sat Jun 28 14:52:46 2008  A5:  38340
Sat Jun 28 14:52:46 2008  size score = 1.875082e-12, Murphy alpha = -5.801511, combined = 1.296806e-11
Sat Jun 28 14:52:46 2008  
Sat Jun 28 14:52:46 2008  commencing linear algebra
Sat Jun 28 14:52:46 2008  read 671154 cycles
Sat Jun 28 14:52:48 2008  cycles contain 2240490 unique relations
Sat Jun 28 14:53:09 2008  read 2240490 relations
Sat Jun 28 14:53:13 2008  using 32 quadratic characters above 134214782
Sat Jun 28 14:53:39 2008  building initial matrix
Sat Jun 28 14:54:06 2008  memory use: 294.3 MB
Sat Jun 28 14:54:09 2008  read 671154 cycles
Sat Jun 28 14:54:10 2008  matrix is 670952 x 671154 (204.8 MB) with weight 68700036 (102.36/col)
Sat Jun 28 14:54:10 2008  sparse part has weight 45644834 (68.01/col)
Sat Jun 28 14:54:24 2008  filtering completed in 2 passes
Sat Jun 28 14:54:24 2008  matrix is 667774 x 667974 (204.4 MB) with weight 68497158 (102.54/col)
Sat Jun 28 14:54:24 2008  sparse part has weight 45560828 (68.21/col)
Sat Jun 28 14:54:32 2008  read 667974 cycles
Sat Jun 28 14:54:33 2008  matrix is 667774 x 667974 (204.4 MB) with weight 68497158 (102.54/col)
Sat Jun 28 14:54:33 2008  sparse part has weight 45560828 (68.21/col)
Sat Jun 28 14:54:33 2008  saving the first 48 matrix rows for later
Sat Jun 28 14:54:34 2008  matrix is 667726 x 667974 (199.0 MB) with weight 53617419 (80.27/col)
Sat Jun 28 14:54:34 2008  sparse part has weight 45486108 (68.10/col)
Sat Jun 28 14:54:34 2008  matrix includes 64 packed rows
Sat Jun 28 14:54:34 2008  using block size 43690 for processor cache size 1024 kB
Sat Jun 28 14:54:38 2008  commencing Lanczos iteration
Sat Jun 28 14:54:38 2008  memory use: 183.9 MB
Sat Jun 28 16:44:37 2008  lanczos halted after 10561 iterations (dim = 667725)
Sat Jun 28 16:44:39 2008  recovered 43 nontrivial dependencies
Sat Jun 28 16:44:39 2008  elapsed time 01:51:54
Sat Jun 28 16:44:40 2008  
Sat Jun 28 16:44:40 2008  
Sat Jun 28 16:44:40 2008  Msieve v. 1.36
Sat Jun 28 16:44:40 2008  random seeds: 5793e7f0 d0222ab8
Sat Jun 28 16:44:40 2008  factoring 1594650479345668205679297248996417788309645764071629470283797649136969454552884601269365941059206432039370206471942940911 (121 digits)
Sat Jun 28 16:44:40 2008  no P-1/P+1/ECM available, skipping
Sat Jun 28 16:44:40 2008  commencing number field sieve (121-digit input)
Sat Jun 28 16:44:40 2008  R0: -132985012360110909014155
Sat Jun 28 16:44:40 2008  R1:  139319909443
Sat Jun 28 16:44:40 2008  A0: -1823549329867625284056766348
Sat Jun 28 16:44:40 2008  A1: -538696810513896633321935
Sat Jun 28 16:44:40 2008  A2:  7602474157459019760
Sat Jun 28 16:44:40 2008  A3:  2237821005459970
Sat Jun 28 16:44:40 2008  A4: -7645887822
Sat Jun 28 16:44:40 2008  A5:  38340
Sat Jun 28 16:44:40 2008  size score = 1.875082e-12, Murphy alpha = -5.801511, combined = 1.296806e-11
Sat Jun 28 16:44:40 2008  
Sat Jun 28 16:44:40 2008  commencing square root phase
Sat Jun 28 16:44:40 2008  reading relations for dependency 1
Sat Jun 28 16:44:41 2008  read 333636 cycles
Sat Jun 28 16:44:41 2008  cycles contain 1366577 unique relations
Sat Jun 28 16:44:54 2008  read 1366577 relations
Sat Jun 28 16:45:04 2008  multiplying 1949326 relations
Sat Jun 28 16:52:18 2008  multiply complete, coefficients have about 89.97 million bits
Sat Jun 28 16:52:21 2008  initial square root is modulo 2871293
Sat Jun 28 17:03:37 2008  reading relations for dependency 2
Sat Jun 28 17:03:37 2008  read 333906 cycles
Sat Jun 28 17:03:38 2008  cycles contain 1370087 unique relations
Sat Jun 28 17:03:51 2008  read 1370087 relations
Sat Jun 28 17:04:00 2008  multiplying 1955116 relations
Sat Jun 28 17:11:15 2008  multiply complete, coefficients have about 90.24 million bits
Sat Jun 28 17:11:19 2008  initial square root is modulo 2999401
Sat Jun 28 17:22:44 2008  prp47 factor: 41874999678888405957858413767086436069870427179
Sat Jun 28 17:22:44 2008  prp74 factor: 38081205768930982523881149611719815860882075982791143081161151118407749709
Sat Jun 28 17:22:44 2008  elapsed time 00:38:04

Total time: 34 hours. 
software ソフトウェア
pol51; Msieve-1.36
execution environment 実行環境
Opteron-2.8GHz; Linux x86_64

7×10181+173

c152

name 名前Dmitry Domanov
date 日付September 18, 2012 12:04:32 UTC 2012 年 9 月 18 日 (火) 21 時 4 分 32 秒 (日本時間)
composite number 合成数
28591908685076795870160764758300174159771110743800840583752765299643840572053142276172248297958959607122521282998277635763108439082374409027142852811133<152>
prime factors 素因数
354110938123314640985225407776551052227455602054508971390818186015658422971<75>
80742800085774324388256192994500473382482427250431048322862771669891931286823<77>
factorization results 素因数分解の結果
N=28591908685076795870160764758300174159771110743800840583752765299643840572053142276172248297958959607122521282998277635763108439082374409027142852811133
  ( 152 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=354110938123314640985225407776551052227455602054508971390818186015658422971 (pp75)
 r2=80742800085774324388256192994500473382482427250431048322862771669891931286823 (pp77)
Version: Msieve-1.40
Total time: 153.13 hours.
Scaled time: 296.16 units (timescale=1.934).
Factorization parameters were as follows:
n: 28591908685076795870160764758300174159771110743800840583752765299643840572053142276172248297958959607122521282998277635763108439082374409027142852811133
m: 1000000000000000000000000000000000000
deg: 5
c5: 70
c0: 17
skew: 0.75
# Murphy_E = 9.395e-11
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3750000, 6150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1387611 x 1387841
Total sieving time: 150.75 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 2.06 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time: 153.13 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 17, 2008 09:00:00 UTC 2008 年 6 月 17 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 14, 2010 12:49:13 UTC 2010 年 10 月 14 日 (木) 21 時 49 分 13 秒 (日本時間)
403e6110Ignacio SantosOctober 14, 2010 12:49:13 UTC 2010 年 10 月 14 日 (木) 21 時 49 分 13 秒 (日本時間)
4511e6632 / 444132Ignacio SantosOctober 14, 2010 12:49:13 UTC 2010 年 10 月 14 日 (木) 21 時 49 分 13 秒 (日本時間)
600Rich DickersonJuly 13, 2012 20:21:58 UTC 2012 年 7 月 14 日 (土) 5 時 21 分 58 秒 (日本時間)

7×10182+173

c107

name 名前Serge Batalov
date 日付June 21, 2008 08:20:19 UTC 2008 年 6 月 21 日 (土) 17 時 20 分 19 秒 (日本時間)
composite number 合成数
23039734642949158512389218312077989194926064666066772598653542994568986691659234818295104220330335207731701<107>
prime factors 素因数
1477088288774321744891374447367639204725377033864653<52>
15598075496263923715557038856491111313580736481605334217<56>
factorization results 素因数分解の結果
Number: 23339_182
N=23039734642949158512389218312077989194926064666066772598653542994568986691659234818295104220330335207731701
  ( 107 digits)
Divisors found:
 r1=1477088288774321744891374447367639204725377033864653
 r2=15598075496263923715557038856491111313580736481605334217
Version: Msieve v. 1.36
Total time: 4.03 hours.
Factorization parameters were as follows:
name: 23339_182
n: 23039734642949158512389218312077989194926064666066772598653542994568986691659234818295104220330335207731701
skew: 14986.36
# norm 3.69e+14
c5: 14580
c4: -403641738
c3: 23116709876478
c2: 73595465736422882
c1: -2826481295785857219317
c0: -1754227893603197984715460
# alpha -5.74
Y1: 36932884747
Y0: -275260764929799055773
# Murphy_E 1.48e-09
# M 10668570985258081896153286729973393070486963170843217333059578589374620638201361193672818543994648530861085
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, 2550001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 280216 x 280442
Total sieving time: 4.03 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 00:16:07
Time per square root: 00:05:19
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 0.03 hours.
 --------- CPU info (if available) ----------
Memory: 33030820k/34078720k available (1920k kernel code, 522988k reserved, 885k data, 196k init)
Calibrating delay using timer specific routine.. 5609.80 BogoMIPS (lpj=11219618)

_________________log____________

Msieve v. 1.36
...
Fri Jun 20 21:20:34 2008  restarting with 813821 relations
Fri Jun 20 22:00:18 2008  restarting with 1447052 relations
Fri Jun 20 22:41:11 2008  restarting with 2082702 relations
Fri Jun 20 23:23:05 2008  restarting with 2928687 relations
Sat Jun 21 00:06:00 2008  restarting with 4146072 relations
Sat Jun 21 00:50:01 2008  restarting with 5343099 relations
...
Msieve v. 1.36
Sat Jun 21 00:53:44 2008
random seeds: 30e59766 2c15b3e7
factoring 23039734642949158512389218312077989194926064666066772598653542994568986691659234818295104220330335207731701 (107 digits)

commencing number field sieve (107-digit input)
R0: -275260764929799055773
R1:  36932884747
A0: -1754227893603197984715460
A1: -2826481295785857219317
A2:  73595465736422882
A3:  23116709876478
A4: -403641738
A5:  14580
size score = 5.079226e-11, Murphy alpha = -5.726172, combined = 3.425672e-10

commencing linear algebra
read 280900 cycles
cycles contain 903261 unique relations
read 903261 relations
using 32 quadratic characters above 67108650
building initial matrix
memory use: 118.1 MB
read 280900 cycles
matrix is 280722 x 280900 (84.8 MB) with weight 28464436 (101.33/col)
sparse part has weight 18846930 (67.09/col)
filtering completed in 2 passes
matrix is 280264 x 280442 (84.7 MB) with weight 28429949 (101.38/col)
sparse part has weight 18829626 (67.14/col)
read 280442 cycles
matrix is 280264 x 280442 (84.7 MB) with weight 28429949 (101.38/col)
sparse part has weight 18829626 (67.14/col)
saving the first 48 matrix rows for later
matrix is 280216 x 280442 (81.6 MB) with weight 22142180 (78.95/col)
sparse part has weight 18586804 (66.28/col)
matrix includes 64 packed rows
using block size 43690 for processor cache size 1024 kB
commencing Lanczos iteration
memory use: 74.7 MB
linear algebra completed 279198 out of 280442 dimensions (99.6%)
lanczos halted after 4434 iterations (dim = 280213)
recovered 40 nontrivial dependencies
elapsed time 00:16:07

Msieve v. 1.36
Sat Jun 21 01:09:51 2008
commencing square root phase
reading relations for dependency 1
read 139967 cycles
cycles contain 565071 unique relations
read 565071 relations
multiplying 874324 relations
multiply complete, coefficients have about 36.33 million bits
initial square root is modulo 164987
prp52 factor: 1477088288774321744891374447367639204725377033864653
prp56 factor: 15598075496263923715557038856491111313580736481605334217
elapsed time 00:05:19
-> Computing time scale for this machine...
sumName = g107-23339_182.txt
-> Factorization summary written to g107-23339_182.txt.
software ソフトウェア
pol51; msieve 1.36
execution environment 実行環境
Opteron 8220; x86_64; Linux

7×10186+173

c148

name 名前Ignacio Santos
date 日付October 14, 2010 13:38:40 UTC 2010 年 10 月 14 日 (木) 22 時 38 分 40 秒 (日本時間)
composite number 合成数
2272847287208822328815857095052271343794615504997932695459915853797751820165017079504020941126788018522052373098836347753017959190642496512980047609<148>
prime factors 素因数
1820109881805266908171441793671821083<37>
composite cofactor 合成数の残り
1248741798464667464580270934114971021449707079188087842068856109714078593994490154840751760857629831212059436923<112>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2684764859
Step 1 took 75052ms
Step 2 took 38002ms
********** Factor found in step 2: 1820109881805266908171441793671821083
Found probable prime factor of 37 digits: 1820109881805266908171441793671821083
Composite cofactor 1248741798464667464580270934114971021449707079188087842068856109714078593994490154840751760857629831212059436923 has 112 digits
software ソフトウェア
GMP-ECM 6.3

c112

name 名前juno1369
date 日付October 16, 2010 05:18:33 UTC 2010 年 10 月 16 日 (土) 14 時 18 分 33 秒 (日本時間)
composite number 合成数
1248741798464667464580270934114971021449707079188087842068856109714078593994490154840751760857629831212059436923<112>
prime factors 素因数
127527538428407591527035414263516359109<39>
9791938383298254573144294180956182343691374481195631982410719785142493247<73>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1811852080
Step 1 took 81947ms
Step 2 took 38220ms
********** Factor found in step 2: 127527538428407591527035414263516359109
Found probable prime factor of 39 digits: 127527538428407591527035414263516359109
Probable prime cofactor 9791938383298254573144294180956182343691374481195631982410719785142493247 has 73 digits
software ソフトウェア
GMP-ECM 6.2.3.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 17, 2008 09:00:00 UTC 2008 年 6 月 17 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 14, 2010 18:58:54 UTC 2010 年 10 月 15 日 (金) 3 時 58 分 54 秒 (日本時間)
403e61016 / 2144110Ignacio SantosOctober 14, 2010 18:58:54 UTC 2010 年 10 月 15 日 (金) 3 時 58 分 54 秒 (日本時間)
453fjuno37October 16, 2010 05:16:01 UTC 2010 年 10 月 16 日 (土) 14 時 16 分 1 秒 (日本時間)
453juno1369October 16, 2010 05:17:31 UTC 2010 年 10 月 16 日 (土) 14 時 17 分 31 秒 (日本時間)
4511e632 / 4240Ignacio SantosOctober 14, 2010 18:58:54 UTC 2010 年 10 月 15 日 (金) 3 時 58 分 54 秒 (日本時間)

7×10188+173

c178

name 名前matsui
date 日付October 12, 2010 11:10:42 UTC 2010 年 10 月 12 日 (火) 20 時 10 分 42 秒 (日本時間)
composite number 合成数
1279534621149064895598983121294717190423792454728397499983639929740952609594312983192484948972253802207063821955093107670186060763669702504289392807813393739621298729016770297509<178>
prime factors 素因数
339806598062674724467039210596473<33>
14975250849864451698344018915407448428273178236760131<53>
251446808691784575793493385598222917334533085381834387198188543012330053884473911562021077743<93>
factorization results 素因数分解の結果
N=1279534621149064895598983121294717190423792454728397499983639929740952609594312983192484948972253802207063821955093107670186060763669702504289392807813393739621298729016770297509
  ( 178 digits)
SNFS difficulty: 188 digits.
Divisors found:
 r1=339806598062674724467039210596473 (pp33)
 r2=14975250849864451698344018915407448428273178236760131 (pp53)
 r3=251446808691784575793493385598222917334533085381834387198188543012330053884473911562021077743 (pp93)
Version: Msieve v. 1.48
Total time:
Scaled time: 39.16 units (timescale=1.346).
Factorization parameters were as follows:
n: 1279534621149064895598983121294717190423792454728397499983639929740952609594312983192484948972253802207063821955093107670186060763669702504289392807813393739621298729016770297509
m: 10000000000000000000000000000000000000
deg: 5
c5: 7000
c0: 17
skew: 0.30
type: snfs
lss: 1
rlim: 9800000
alim: 9800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 300000
Factor base limits: 9800000/9800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4900000, 16300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2184406 x 2184634
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,188.000,5,0,0,0,0,0,0,0,0,9800000,9800000,28,28,54,54,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 17, 2008 09:00:00 UTC 2008 年 6 月 17 日 (火) 18 時 0 分 0 秒 (日本時間)

7×10190+173

c148

name 名前Dmitry Domanov
date 日付September 24, 2012 06:23:09 UTC 2012 年 9 月 24 日 (月) 15 時 23 分 9 秒 (日本時間)
composite number 合成数
5562914595367787178397097675974499750208688947729743467296101845396772587733063524501978791256527182725153612414980336435223495053341926979034244147<148>
prime factors 素因数
6209923800473851544451182668896982913771017<43>
895810443751871160816783971921625598956067582520558970029688079893853116307670302739996376068975010604891<105>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2478180832
Step 1 took 60532ms
Step 2 took 23858ms
********** Factor found in step 2: 6209923800473851544451182668896982913771017
Found probable prime factor of 43 digits: 6209923800473851544451182668896982913771017

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 17, 2008 09:00:00 UTC 2008 年 6 月 17 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 14, 2010 15:08:35 UTC 2010 年 10 月 15 日 (金) 0 時 8 分 35 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 14, 2010 15:08:35 UTC 2010 年 10 月 15 日 (金) 0 時 8 分 35 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 14, 2010 15:08:35 UTC 2010 年 10 月 15 日 (金) 0 時 8 分 35 秒 (日本時間)

7×10191+173

c189

name 名前Sinkiti Sibata
date 日付October 12, 2009 05:19:16 UTC 2009 年 10 月 12 日 (月) 14 時 19 分 16 秒 (日本時間)
composite number 合成数
976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762901<189>
prime factors 素因数
8675408230576332396338916381447764186777501<43>
112535349539874274622788901129843613428659566264370680778829606260498582342933455605684400377824563882400936911787444933628331607635998443024485401<147>
factorization results 素因数分解の結果
Number: 23339_191
N=976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762901
  ( 189 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=8675408230576332396338916381447764186777501 (pp43)
 r2=112535349539874274622788901129843613428659566264370680778829606260498582342933455605684400377824563882400936911787444933628331607635998443024485401 (pp147)
Version: Msieve-1.40
Total time: 393.64 hours.
Scaled time: 716.83 units (timescale=1.821).
Factorization parameters were as follows:
name: 23339_191
n: 976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762901
m: 100000000000000000000000000000000000000
deg: 5
c5: 70
c0: 17
skew: 0.75
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5500000, 10300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2139635 x 2139859
Total sieving time: 380.36 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 12.20 hours.
Time per square root: 0.87 hours.
Prototype def-par.txt line would be:
snfs,191.000,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,54,54,2.5,2.5,100000
total time: 393.64 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 3109164k/3145344k available (2732k kernel code, 34856k reserved, 1420k data, 412k init, 2227840k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4787.99 BogoMIPS (lpj=2393995)
Calibrating delay using timer specific routine.. 4787.75 BogoMIPS (lpj=2393879)
Calibrating delay using timer specific routine.. 4787.76 BogoMIPS (lpj=2393884)
Calibrating delay using timer specific routine.. 4787.78 BogoMIPS (lpj=2393891)
Total of 4 processors activated (19151.29 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 17, 2008 09:00:00 UTC 2008 年 6 月 17 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiAugust 26, 2009 04:29:40 UTC 2009 年 8 月 26 日 (水) 13 時 29 分 40 秒 (日本時間)

7×10192+173

c138

name 名前Dmitry Domanov
date 日付November 17, 2012 18:24:41 UTC 2012 年 11 月 18 日 (日) 3 時 24 分 41 秒 (日本時間)
composite number 合成数
133230476660643185688157337055256634076411061056500361594345350826171705911394299069570901669528294214271569181120658435056644418282543947<138>
prime factors 素因数
209993079826202661337459149157378373704670102363<48>
634451748461945560685329588231434772463814225427751775327546903003965038025981463711644369<90>
factorization results 素因数分解の結果
N=133230476660643185688157337055256634076411061056500361594345350826171705911394299069570901669528294214271569181120658435056644418282543947
  ( 138 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=209993079826202661337459149157378373704670102363 (pp48)
 r2=634451748461945560685329588231434772463814225427751775327546903003965038025981463711644369 (pp90)
Version: Msieve-1.40
Total time: 470.52 hours.
Scaled time: 891.16 units (timescale=1.894).
Factorization parameters were as follows:
n: 133230476660643185688157337055256634076411061056500361594345350826171705911394299069570901669528294214271569181120658435056644418282543947
m: 100000000000000000000000000000000000000
deg: 5
c5: 700
c0: 17
skew: 0.48
# Murphy_E = 2.613e-11
type: snfs
lss: 1
rlim: 11500000
alim: 11500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 11500000/11500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5750000, 12950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2018424 x 2018649
Total sieving time: 464.80 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 4.66 hours.
Time per square root: 0.80 hours.
Prototype def-par.txt line would be:
snfs,192.000,5,0,0,0,0,0,0,0,0,11500000,11500000,28,28,55,55,2.5,2.5,100000
total time: 470.52 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 17, 2008 09:00:00 UTC 2008 年 6 月 17 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 15, 2010 07:43:01 UTC 2010 年 10 月 15 日 (金) 16 時 43 分 1 秒 (日本時間)
403e61110110Ignacio SantosOctober 15, 2010 07:43:01 UTC 2010 年 10 月 15 日 (金) 16 時 43 分 1 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2012 11:07:11 UTC 2012 年 9 月 24 日 (月) 20 時 7 分 11 秒 (日本時間)
4511e61032 / 422032Ignacio SantosOctober 15, 2010 07:43:01 UTC 2010 年 10 月 15 日 (金) 16 時 43 分 1 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2012 11:07:11 UTC 2012 年 9 月 24 日 (月) 20 時 7 分 11 秒 (日本時間)

7×10193+173

c176

name 名前Dmitry Domanov
date 日付November 10, 2012 23:24:49 UTC 2012 年 11 月 11 日 (日) 8 時 24 分 49 秒 (日本時間)
composite number 合成数
48221115581925533370516876869776826831373740773241456148452641880823513803435956812413916456854157307026679085879998147139242878250664400645261711293884299723116254924374175021<176>
prime factors 素因数
34041931477925203627207970339370105954661816703104709940648361294864867<71>
1416521139912256420932965747453000399888597446835228836409762229280144887381312407103648534088753057145263<106>
factorization results 素因数分解の結果
Sieving took ~20cpu-days

Sat Nov 10 21:12:07 2012  Msieve v. 1.50 (SVN unknown)
Sat Nov 10 21:12:07 2012  random seeds: 58b477a6 72c01cb3
Sat Nov 10 21:12:07 2012  factoring 48221115581925533370516876869776826831373740773241456148452641880823513803435956812413916456854157307026679085879998147139242878250664400645261711293884299723116254924374175021 (176 digits)
Sat Nov 10 21:12:10 2012  no P-1/P+1/ECM available, skipping
Sat Nov 10 21:12:10 2012  commencing number field sieve (176-digit input)
Sat Nov 10 21:12:10 2012  R0: -100000000000000000000000000000000000000
Sat Nov 10 21:12:10 2012  R1: 1
Sat Nov 10 21:12:10 2012  A0: 17
Sat Nov 10 21:12:10 2012  A1: 0
Sat Nov 10 21:12:10 2012  A2: 0
Sat Nov 10 21:12:10 2012  A3: 0
Sat Nov 10 21:12:10 2012  A4: 0
Sat Nov 10 21:12:10 2012  A5: 7000
Sat Nov 10 21:12:10 2012  skew 0.30, size 1.339e-13, alpha -0.082, combined = 2.471e-11 rroots = 1
Sat Nov 10 21:12:10 2012
Sat Nov 10 21:12:10 2012  commencing relation filtering
Sat Nov 10 21:12:10 2012  estimated available RAM is 48192.2 MB
Sat Nov 10 21:12:10 2012  commencing duplicate removal, pass 1
Sat Nov 10 21:12:10 2012  error -15 reading relation 2608
Sat Nov 10 21:12:10 2012  error -11 reading relation 5220
Sat Nov 10 21:12:10 2012  error -9 reading relation 7746
Sat Nov 10 21:12:10 2012  error -15 reading relation 10393
Sat Nov 10 21:12:10 2012  error -11 reading relation 13125
Sat Nov 10 21:12:10 2012  error -9 reading relation 15775
Sat Nov 10 21:12:10 2012  error -15 reading relation 18463
Sat Nov 10 21:12:10 2012  error -15 reading relation 21150
Sat Nov 10 21:12:10 2012  error -11 reading relation 23713
Sat Nov 10 21:12:10 2012  error -11 reading relation 26314
Sat Nov 10 21:12:10 2012  error -9 reading relation 28961
Sat Nov 10 21:12:10 2012  error -5 reading relation 31481
Sat Nov 10 21:12:10 2012  error -15 reading relation 34212
Sat Nov 10 21:12:10 2012  error -11 reading relation 36820
Sat Nov 10 21:12:11 2012  error -5 reading relation 39423
Sat Nov 10 21:12:11 2012  error -15 reading relation 42076
Sat Nov 10 21:14:38 2012  error -11 reading relation 8283208
Sat Nov 10 21:14:40 2012  error -15 reading relation 8457117
Sat Nov 10 21:14:42 2012  error -11 reading relation 8619905
Sat Nov 10 21:14:45 2012  error -9 reading relation 8791660
Sat Nov 10 21:14:49 2012  error -15 reading relation 8963234
Sat Nov 10 21:14:52 2012  error -15 reading relation 9135823
Sat Nov 10 21:14:55 2012  error -9 reading relation 9307469
Sat Nov 10 21:14:57 2012  error -15 reading relation 9478677
Sat Nov 10 21:15:00 2012  error -11 reading relation 9637614
Sat Nov 10 21:15:03 2012  error -11 reading relation 9805998
Sat Nov 10 21:15:06 2012  error -9 reading relation 9976975
Sat Nov 10 21:15:10 2012  error -1 reading relation 10133932
Sat Nov 10 21:15:14 2012  error -9 reading relation 10303991
Sat Nov 10 21:15:17 2012  error -11 reading relation 10471724
Sat Nov 10 21:15:20 2012  error -15 reading relation 10646026
Sat Nov 10 21:15:23 2012  error -15 reading relation 10820031
Sat Nov 10 21:15:23 2012  error -15 reading relation 10820113
Sat Nov 10 21:15:23 2012  error -11 reading relation 10820195
Sat Nov 10 21:15:23 2012  error -11 reading relation 10820276
Sat Nov 10 21:15:23 2012  error -5 reading relation 10820358
Sat Nov 10 21:15:23 2012  error -11 reading relation 10820439
Sat Nov 10 21:15:23 2012  error -11 reading relation 10820521
Sat Nov 10 21:15:23 2012  error -15 reading relation 10820603
Sat Nov 10 21:15:23 2012  error -15 reading relation 10820684
Sat Nov 10 21:15:23 2012  error -9 reading relation 10820847
Sat Nov 10 21:15:23 2012  error -1 reading relation 10820929
Sat Nov 10 21:15:23 2012  error -9 reading relation 10821010
Sat Nov 10 21:15:23 2012  error -11 reading relation 10821092
Sat Nov 10 21:15:23 2012  error -15 reading relation 10821174
Sat Nov 10 21:15:23 2012  error -11 reading relation 10821256
Sat Nov 10 21:15:23 2012  error -11 reading relation 10821338
Sat Nov 10 21:17:29 2012  error -1 reading relation 18422833
Sat Nov 10 21:17:31 2012  error -9 reading relation 18512156
Sat Nov 10 21:17:32 2012  error -11 reading relation 18601948
Sat Nov 10 21:17:33 2012  error -1 reading relation 18690815
Sat Nov 10 21:17:35 2012  error -11 reading relation 18780467
Sat Nov 10 21:17:36 2012  error -1 reading relation 18869511
Sat Nov 10 21:17:37 2012  error -11 reading relation 18958272
Sat Nov 10 21:17:38 2012  error -11 reading relation 19047763
Sat Nov 10 21:17:40 2012  error -1 reading relation 19137699
Sat Nov 10 21:17:41 2012  error -9 reading relation 19227641
Sat Nov 10 21:17:42 2012  error -15 reading relation 19317997
Sat Nov 10 21:17:44 2012  error -9 reading relation 19407937
Sat Nov 10 21:17:45 2012  error -11 reading relation 19497439
Sat Nov 10 21:17:46 2012  error -6 reading relation 19587175
Sat Nov 10 21:17:48 2012  error -9 reading relation 19677045
Sat Nov 10 21:17:49 2012  error -1 reading relation 19765970
Sat Nov 10 21:17:52 2012  error -15 reading relation 19985234
Sat Nov 10 21:17:55 2012  error -9 reading relation 20209903
Sat Nov 10 21:17:59 2012  error -15 reading relation 20434703
Sat Nov 10 21:18:02 2012  error -15 reading relation 20660334
Sat Nov 10 21:18:07 2012  error -15 reading relation 20885226
Sat Nov 10 21:18:13 2012  error -11 reading relation 21110071
Sat Nov 10 21:18:18 2012  error -15 reading relation 21336424
Sat Nov 10 21:18:23 2012  error -11 reading relation 21561404
Sat Nov 10 21:18:28 2012  error -11 reading relation 21779215
Sat Nov 10 21:18:33 2012  error -5 reading relation 22001865
Sat Nov 10 21:18:38 2012  error -15 reading relation 22225284
Sat Nov 10 21:18:43 2012  error -9 reading relation 22448412
Sat Nov 10 21:18:48 2012  error -11 reading relation 22669600
Sat Nov 10 21:18:53 2012  error -15 reading relation 22889863
Sat Nov 10 21:18:58 2012  error -11 reading relation 23111818
Sat Nov 10 21:19:03 2012  skipped 57 relations with b > 2^32
Sat Nov 10 21:19:03 2012  found 1553424 hash collisions in 23334212 relations
Sat Nov 10 21:19:41 2012  added 726973 free relations
Sat Nov 10 21:19:41 2012  commencing duplicate removal, pass 2
Sat Nov 10 21:21:04 2012  found 714474 duplicates and 23346711 unique relations
Sat Nov 10 21:21:04 2012  memory use: 65.3 MB
Sat Nov 10 21:21:04 2012  reading ideals above 720000
Sat Nov 10 21:21:04 2012  commencing singleton removal, initial pass
Sat Nov 10 21:29:11 2012  memory use: 689.0 MB
Sat Nov 10 21:29:11 2012  reading all ideals from disk
Sat Nov 10 21:29:12 2012  memory use: 793.5 MB
Sat Nov 10 21:29:14 2012  keeping 23768033 ideals with weight <= 200, target excess is 129105
Sat Nov 10 21:29:17 2012  commencing in-memory singleton removal
Sat Nov 10 21:29:20 2012  begin with 23346710 relations and 23768033 unique ideals
Sat Nov 10 21:29:47 2012  reduce to 12593836 relations and 11332902 ideals in 16 passes
Sat Nov 10 21:29:47 2012  max relations containing the same ideal: 142
Sat Nov 10 21:29:53 2012  removing 2330563 relations and 1930563 ideals in 400000 cliques
Sat Nov 10 21:29:54 2012  commencing in-memory singleton removal
Sat Nov 10 21:29:55 2012  begin with 10263273 relations and 11332902 unique ideals
Sat Nov 10 21:30:03 2012  reduce to 9963654 relations and 9091175 ideals in 9 passes
Sat Nov 10 21:30:03 2012  max relations containing the same ideal: 116
Sat Nov 10 21:30:10 2012  removing 1767902 relations and 1367902 ideals in 400000 cliques
Sat Nov 10 21:30:11 2012  commencing in-memory singleton removal
Sat Nov 10 21:30:12 2012  begin with 8195752 relations and 9091175 unique ideals
Sat Nov 10 21:30:20 2012  reduce to 7974245 relations and 7493142 ideals in 9 passes
Sat Nov 10 21:30:20 2012  max relations containing the same ideal: 98
Sat Nov 10 21:30:25 2012  removing 1378941 relations and 1047600 ideals in 331341 cliques
Sat Nov 10 21:30:26 2012  commencing in-memory singleton removal
Sat Nov 10 21:30:27 2012  begin with 6595304 relations and 7493142 unique ideals
Sat Nov 10 21:30:34 2012  reduce to 6417946 relations and 6261426 ideals in 9 passes
Sat Nov 10 21:30:34 2012  max relations containing the same ideal: 86
Sat Nov 10 21:30:39 2012  relations with 0 large ideals: 3051
Sat Nov 10 21:30:39 2012  relations with 1 large ideals: 500
Sat Nov 10 21:30:39 2012  relations with 2 large ideals: 8774
Sat Nov 10 21:30:39 2012  relations with 3 large ideals: 73306
Sat Nov 10 21:30:39 2012  relations with 4 large ideals: 341426
Sat Nov 10 21:30:39 2012  relations with 5 large ideals: 941197
Sat Nov 10 21:30:39 2012  relations with 6 large ideals: 1675763
Sat Nov 10 21:30:39 2012  relations with 7+ large ideals: 3373929
Sat Nov 10 21:30:39 2012  commencing 2-way merge
Sat Nov 10 21:30:44 2012  reduce to 4106405 relation sets and 3949885 unique ideals
Sat Nov 10 21:30:44 2012  commencing full merge
Sat Nov 10 21:32:05 2012  memory use: 477.5 MB
Sat Nov 10 21:32:05 2012  found 2138143 cycles, need 2112085
Sat Nov 10 21:32:06 2012  weight of 2112085 cycles is about 147977099 (70.06/cycle)
Sat Nov 10 21:32:06 2012  distribution of cycle lengths:
Sat Nov 10 21:32:06 2012  1 relations: 247840
Sat Nov 10 21:32:06 2012  2 relations: 259620
Sat Nov 10 21:32:06 2012  3 relations: 265127
Sat Nov 10 21:32:06 2012  4 relations: 247048
Sat Nov 10 21:32:06 2012  5 relations: 223236
Sat Nov 10 21:32:06 2012  6 relations: 191507
Sat Nov 10 21:32:06 2012  7 relations: 160919
Sat Nov 10 21:32:06 2012  8 relations: 130595
Sat Nov 10 21:32:06 2012  9 relations: 102995
Sat Nov 10 21:32:06 2012  10+ relations: 283198
Sat Nov 10 21:32:06 2012  heaviest cycle: 21 relations
Sat Nov 10 21:32:07 2012  commencing cycle optimization
Sat Nov 10 21:32:10 2012  start with 11324489 relations
Sat Nov 10 21:32:28 2012  pruned 277024 relations
Sat Nov 10 21:32:28 2012  memory use: 377.0 MB
Sat Nov 10 21:32:28 2012  distribution of cycle lengths:
Sat Nov 10 21:32:28 2012  1 relations: 247840
Sat Nov 10 21:32:28 2012  2 relations: 265399
Sat Nov 10 21:32:28 2012  3 relations: 274436
Sat Nov 10 21:32:28 2012  4 relations: 253105
Sat Nov 10 21:32:28 2012  5 relations: 228821
Sat Nov 10 21:32:28 2012  6 relations: 194181
Sat Nov 10 21:32:28 2012  7 relations: 162160
Sat Nov 10 21:32:28 2012  8 relations: 129001
Sat Nov 10 21:32:28 2012  9 relations: 100998
Sat Nov 10 21:32:28 2012  10+ relations: 256144
Sat Nov 10 21:32:28 2012  heaviest cycle: 20 relations
Sat Nov 10 21:32:31 2012  RelProcTime: 1221
Sat Nov 10 21:32:32 2012
Sat Nov 10 21:32:32 2012  commencing linear algebra
Sat Nov 10 21:32:32 2012  read 2112085 cycles
Sat Nov 10 21:32:36 2012  cycles contain 6260890 unique relations
Sat Nov 10 22:06:36 2012
Sat Nov 10 22:06:36 2012
Sat Nov 10 22:06:36 2012  Msieve v. 1.50 (SVN unknown)
Sat Nov 10 22:06:36 2012  random seeds: fe4a45c3 f21fe798
Sat Nov 10 22:06:36 2012  factoring 48221115581925533370516876869776826831373740773241456148452641880823513803435956812413916456854157307026679085879998147139242878250664400645261711293884299723116254924374175021 (176 digits)
Sat Nov 10 22:06:38 2012  no P-1/P+1/ECM available, skipping
Sat Nov 10 22:06:38 2012  commencing number field sieve (176-digit input)
Sat Nov 10 22:06:38 2012  R0: -100000000000000000000000000000000000000
Sat Nov 10 22:06:38 2012  R1: 1
Sat Nov 10 22:06:38 2012  A0: 17
Sat Nov 10 22:06:38 2012  A1: 0
Sat Nov 10 22:06:38 2012  A2: 0
Sat Nov 10 22:06:38 2012  A3: 0
Sat Nov 10 22:06:38 2012  A4: 0
Sat Nov 10 22:06:38 2012  A5: 7000
Sat Nov 10 22:06:38 2012  skew 0.30, size 1.339e-13, alpha -0.082, combined = 2.471e-11 rroots = 1
Sat Nov 10 22:06:38 2012
Sat Nov 10 22:06:38 2012  commencing linear algebra
Sat Nov 10 22:06:38 2012  read 2112085 cycles
Sat Nov 10 22:06:41 2012  cycles contain 6260890 unique relations
Sat Nov 10 22:09:29 2012  read 6260890 relations
Sat Nov 10 22:09:41 2012  using 20 quadratic characters above 268434788
Sat Nov 10 22:10:23 2012  building initial matrix
Sat Nov 10 22:11:58 2012  memory use: 809.1 MB
Sat Nov 10 22:11:59 2012  read 2112085 cycles
Sat Nov 10 22:12:00 2012  matrix is 2111900 x 2112085 (633.5 MB) with weight 187760462 (88.90/col)
Sat Nov 10 22:12:00 2012  sparse part has weight 142837996 (67.63/col)
Sat Nov 10 22:12:26 2012  filtering completed in 2 passes
Sat Nov 10 22:12:27 2012  matrix is 2109907 x 2110092 (633.3 MB) with weight 187695238 (88.95/col)
Sat Nov 10 22:12:27 2012  sparse part has weight 142814510 (67.68/col)
Sat Nov 10 22:12:31 2012  matrix starts at (0, 0)
Sat Nov 10 22:12:32 2012  matrix is 2109907 x 2110092 (633.3 MB) with weight 187695238 (88.95/col)
Sat Nov 10 22:12:32 2012  sparse part has weight 142814510 (67.68/col)
Sat Nov 10 22:12:32 2012  saving the first 48 matrix rows for later
Sat Nov 10 22:12:32 2012  matrix includes 64 packed rows
Sat Nov 10 22:12:32 2012  matrix is 2109859 x 2110092 (601.8 MB) with weight 149032753 (70.63/col)
Sat Nov 10 22:12:32 2012  sparse part has weight 136666758 (64.77/col)
Sat Nov 10 22:12:32 2012  using block size 262144 for processor cache size 12288 kB
Sat Nov 10 22:12:37 2012  commencing Lanczos iteration (16 threads)
Sat Nov 10 22:12:37 2012  memory use: 915.5 MB
Sat Nov 10 22:12:49 2012  linear algebra at 0.1%, ETA 4h14m
Sat Nov 10 22:12:53 2012  checkpointing every 490000 dimensions
Sun Nov 11 02:30:17 2012  lanczos halted after 33366 iterations (dim = 2109854)
Sun Nov 11 02:30:23 2012  recovered 34 nontrivial dependencies
Sun Nov 11 02:30:23 2012  BLanczosTime: 15825
Sun Nov 11 02:30:23 2012  elapsed time 04:23:47
Sun Nov 11 03:12:46 2012
Sun Nov 11 03:12:46 2012
Sun Nov 11 03:12:46 2012  Msieve v. 1.50 (SVN unknown)
Sun Nov 11 03:12:46 2012  random seeds: b740e89f d57ad336
Sun Nov 11 03:12:46 2012  factoring 48221115581925533370516876869776826831373740773241456148452641880823513803435956812413916456854157307026679085879998147139242878250664400645261711293884299723116254924374175021 (176 digits)
Sun Nov 11 03:12:48 2012  no P-1/P+1/ECM available, skipping
Sun Nov 11 03:12:48 2012  commencing number field sieve (176-digit input)
Sun Nov 11 03:12:48 2012  R0: -100000000000000000000000000000000000000
Sun Nov 11 03:12:48 2012  R1: 1
Sun Nov 11 03:12:48 2012  A0: 17
Sun Nov 11 03:12:48 2012  A1: 0
Sun Nov 11 03:12:48 2012  A2: 0
Sun Nov 11 03:12:48 2012  A3: 0
Sun Nov 11 03:12:48 2012  A4: 0
Sun Nov 11 03:12:48 2012  A5: 7000
Sun Nov 11 03:12:48 2012  skew 0.30, size 1.339e-13, alpha -0.082, combined = 2.471e-11 rroots = 1
Sun Nov 11 03:12:48 2012
Sun Nov 11 03:12:48 2012  commencing square root phase
Sun Nov 11 03:12:48 2012  reading relations for dependency 1
Sun Nov 11 03:12:48 2012  read 1054729 cycles
Sun Nov 11 03:12:50 2012  cycles contain 3127918 unique relations
Sun Nov 11 03:14:56 2012  read 3127918 relations
Sun Nov 11 03:15:14 2012  multiplying 3127918 relations
Sun Nov 11 03:18:39 2012  multiply complete, coefficients have about 115.20 million bits
Sun Nov 11 03:18:39 2012  initial square root is modulo 185699581
Sun Nov 11 03:22:54 2012  sqrtTime: 606
Sun Nov 11 03:22:54 2012  prp71 factor: 34041931477925203627207970339370105954661816703104709940648361294864867
Sun Nov 11 03:22:54 2012  prp106 factor: 1416521139912256420932965747453000399888597446835228836409762229280144887381312407103648534088753057145263
Sun Nov 11 03:22:54 2012  elapsed time 00:10:08

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 17, 2008 09:00:00 UTC 2008 年 6 月 17 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 15, 2010 12:33:39 UTC 2010 年 10 月 15 日 (金) 21 時 33 分 39 秒 (日本時間)
403e61110110Ignacio SantosOctober 15, 2010 12:33:39 UTC 2010 年 10 月 15 日 (金) 21 時 33 分 39 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2012 11:07:28 UTC 2012 年 9 月 24 日 (月) 20 時 7 分 28 秒 (日本時間)
4511e61032 / 422032Ignacio SantosOctober 15, 2010 12:33:39 UTC 2010 年 10 月 15 日 (金) 21 時 33 分 39 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2012 11:07:28 UTC 2012 年 9 月 24 日 (月) 20 時 7 分 28 秒 (日本時間)

7×10194+173

c192

name 名前Ignacio Santos
date 日付April 13, 2009 15:43:30 UTC 2009 年 4 月 14 日 (火) 0 時 43 分 30 秒 (日本時間)
composite number 合成数
136532085039984396333138287497561927052857421494051102008972108445484688901891944606982640920616344841037643846303881412131850984981470645601716403354788375268188024185683635654378779013068071<192>
prime factors 素因数
346829221976324092618801102438231038737439780793265937700693079<63>
393657963022806093903868529787748043691165968836977987683147655420299632252039577434692218103776328441087411740739267406602236849<129>
factorization results 素因数分解の結果
Number: 23339_194
N=136532085039984396333138287497561927052857421494051102008972108445484688901891944606982640920616344841037643846303881412131850984981470645601716403354788375268188024185683635654378779013068071
  ( 192 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=346829221976324092618801102438231038737439780793265937700693079 (pp63)
 r2=393657963022806093903868529787748043691165968836977987683147655420299632252039577434692218103776328441087411740739267406602236849 (pp129)
Version: Msieve-1.39
Total time: 525.40 hours.
Scaled time: 916.30 units (timescale=1.744).
Factorization parameters were as follows:
n: 136532085039984396333138287497561927052857421494051102008972108445484688901891944606982640920616344841037643846303881412131850984981470645601716403354788375268188024185683635654378779013068071
m: 500000000000000000000000000000000000000
deg: 5
c5: 112
c0: 85
skew: 0.95
type: snfs
lss: 1
rlim: 12700000
alim: 12700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5Factor base limits: 12700000/12700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6350000, 14950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2537985 x 2538232
Total sieving time: 525.40 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,195,5,0,0,0,0,0,0,0,0,12700000,12700000,28,28,55,55,2.5,2.5,100000
total time: 525.40 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 KamadaJune 17, 2008 09:00:00 UTC 2008 年 6 月 17 日 (火) 18 時 0 分 0 秒 (日本時間)

7×10196+173

c160

name 名前Eric Jeancolas
date 日付July 19, 2021 03:59:17 UTC 2021 年 7 月 19 日 (月) 12 時 59 分 17 秒 (日本時間)
composite number 合成数
1498681293977067616723107380910105362058761118884666919349650745738940455007187609888014650766696612253670755317661240993400431840579175682292626574889245916177<160>
prime factors 素因数
12726037862496464302766719171272043910686866972946586359894428779<65>
117764956396497126794055687042405747637616999657006920340583206156871202714661760057421650638963<96>
factorization results 素因数分解の結果
1498681293977067616723107380910105362058761118884666919349650745738940455007187609888014650766696612253670755317661240993400431840579175682292626574889245916177=12726037862496464302766719171272043910686866972946586359894428779*117764956396497126794055687042405747637616999657006920340583206156871202714661760057421650638963

cado polynomial
n: 1498681293977067616723107380910105362058761118884666919349650745738940455007187609888014650766696612253670755317661240993400431840579175682292626574889245916177
skew: 0.75
type: snfs
c0: 17
c5: 70
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 70*x^5+17
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13400000
tasks.lim1 = 13400000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 117764956396497126794055687042405747637616999657006920340583206156871202714661760057421650638963 12726037862496464302766719171272043910686866972946586359894428779
Info:Square Root: Total cpu/real time for sqrt: 726.67/231.223
Info:Filtering - Singleton removal: Total cpu/real time for purge: 426.55/460.499
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29386723
Info:Lattice Sieving: Average J: 1894.21 for 3536500 special-q, max bucket fill -bkmult 1.0,1s:1.118000
Info:Lattice Sieving: Total time: 962868s
Info:Linear Algebra: Total cpu/real time for bwc: 127902/32735.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 81983.09, WCT time 20916.81, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (84480 iterations)
Info:Linear Algebra: Lingen CPU time 577.03, WCT time 146.37
Info:Linear Algebra: Mksol: CPU time 44347.69,  WCT time 11322.97, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (42496 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.62/2.74104
Info:Generate Free Relations: Total cpu/real time for freerel: 119.07/32.378
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 124.1/150.454
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 149.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 533.6/474.492
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 366.20000000000005s
Info:Filtering - Merging: Merged matrix has 2699907 rows and total weight 460093149 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 756.24/209.229
Info:Filtering - Merging: Total cpu/real time for replay: 105.87/91.7515
Info:Quadratic Characters: Total cpu/real time for characters: 93.78/40.0235
Info:Square Root: Total cpu/real time for sqrt: 726.67/231.223
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.0195e+06/51755.7
Info:root: Cleaning up computation data in /tmp/cado.acpk0mdd
117764956396497126794055687042405747637616999657006920340583206156871202714661760057421650638963 12726037862496464302766719171272043910686866972946586359894428779
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
6 x Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 17, 2008 09:00:00 UTC 2008 年 6 月 17 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 15, 2010 12:34:04 UTC 2010 年 10 月 15 日 (金) 21 時 34 分 4 秒 (日本時間)
403e61110110Ignacio SantosOctober 15, 2010 12:34:04 UTC 2010 年 10 月 15 日 (金) 21 時 34 分 4 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2012 11:09:58 UTC 2012 年 9 月 24 日 (月) 20 時 9 分 58 秒 (日本時間)
4511e61032 / 351832Ignacio SantosOctober 15, 2010 12:34:04 UTC 2010 年 10 月 15 日 (金) 21 時 34 分 4 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2012 11:09:58 UTC 2012 年 9 月 24 日 (月) 20 時 9 分 58 秒 (日本時間)
5043e6200 / 7278Dmitry DomanovDecember 14, 2014 00:55:29 UTC 2014 年 12 月 14 日 (日) 9 時 55 分 29 秒 (日本時間)

7×10197+173

c166

name 名前Bob Backstrom
date 日付March 30, 2021 07:54:35 UTC 2021 年 3 月 30 日 (火) 16 時 54 分 35 秒 (日本時間)
composite number 合成数
4957013442679451918542050814278997838566226972321993493951827484576855115849785460100344014745655572442738919392368123952013280297533837406671407177327387881534881703<166>
prime factors 素因数
123842661924974784735139598232159066746907701115898914361242456270105488779<75>
40026702960264726257891137596761036210866193603804340548522033999408546197895441468178444757<92>
factorization results 素因数分解の結果
Number: n
N=4957013442679451918542050814278997838566226972321993493951827484576855115849785460100344014745655572442738919392368123952013280297533837406671407177327387881534881703  ( 166 digits)
SNFS difficulty: 197 digits.
Divisors found:

Tue Mar 30 18:48:47 2021  p75 factor: 123842661924974784735139598232159066746907701115898914361242456270105488779
Tue Mar 30 18:48:47 2021  p92 factor: 40026702960264726257891137596761036210866193603804340548522033999408546197895441468178444757
Tue Mar 30 18:48:47 2021  elapsed time 01:22:42 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 7x10^197+17 = 23(196)9
#
n: 4957013442679451918542050814278997838566226972321993493951827484576855115849785460100344014745655572442738919392368123952013280297533837406671407177327387881534881703
m: 1000000000000000000000000000000000000000
deg: 5
c5: 700
c0: 17
skew: 0.48
# Murphy_E = 1.622e-11
type: snfs
lss: 1
rlim: 13900000
alim: 13900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3913111 hash collisions in 28188243 relations (25703337 unique)
Msieve: matrix is 1938528 x 1938755 (677.6 MB)

Sieving start time : 2021/03/30 10:36:03
Sieving end time  : 2021/03/30 17:25:34

Total sieving time: 6hrs 49min 31secs.

Total relation processing time: 1hrs 11min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 39sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13900000,13900000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119391] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.47 BogoMIPS (lpj=12798944)
[    0.152034] smpboot: Total of 16 processors activated (102391.55 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 17, 2008 09:00:00 UTC 2008 年 6 月 17 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 15, 2010 12:34:34 UTC 2010 年 10 月 15 日 (金) 21 時 34 分 34 秒 (日本時間)
403e61110110Ignacio SantosOctober 15, 2010 12:34:34 UTC 2010 年 10 月 15 日 (金) 21 時 34 分 34 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2012 11:10:11 UTC 2012 年 9 月 24 日 (月) 20 時 10 分 11 秒 (日本時間)
4511e61032 / 351832Ignacio SantosOctober 15, 2010 12:34:34 UTC 2010 年 10 月 15 日 (金) 21 時 34 分 34 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2012 11:10:11 UTC 2012 年 9 月 24 日 (月) 20 時 10 分 11 秒 (日本時間)
5043e6200 / 7278Dmitry DomanovDecember 14, 2014 00:55:45 UTC 2014 年 12 月 14 日 (日) 9 時 55 分 45 秒 (日本時間)

7×10201+173

c191

name 名前Bob Backstrom
date 日付May 19, 2021 10:15:09 UTC 2021 年 5 月 19 日 (水) 19 時 15 分 9 秒 (日本時間)
composite number 合成数
19687928128006334856335958671632870249047329770773606062079913991278479149948208443927635277311363112602750361618007937771420612761700982956122236562749785948277089849139686288256796168520411<191>
prime factors 素因数
11071401354422791129275556759894371525367872594807762258581<59>
1778268847614437098483450738443515353142562590206593404575827442602035220229035578084842039320822191242406672314647814592540354112431<133>
factorization results 素因数分解の結果
Number: n
N=19687928128006334856335958671632870249047329770773606062079913991278479149948208443927635277311363112602750361618007937771420612761700982956122236562749785948277089849139686288256796168520411
  ( 191 digits)
SNFS difficulty: 201 digits.
Divisors found:

Wed May 19 20:09:43 2021  p59 factor: 11071401354422791129275556759894371525367872594807762258581
Wed May 19 20:09:43 2021  p133 factor: 1778268847614437098483450738443515353142562590206593404575827442602035220229035578084842039320822191242406672314647814592540354112431
Wed May 19 20:09:43 2021  elapsed time 01:29:39 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 7x10^201+17 = 23(200)9
#
n: 19687928128006334856335958671632870249047329770773606062079913991278479149948208443927635277311363112602750361618007937771420612761700982956122236562749785948277089849139686288256796168520411
m: 10000000000000000000000000000000000000000
deg: 5
c5: 70
c0: 17
skew: 0.75
# Murphy_E = 1.411e-11
type: snfs
lss: 1
rlim: 16200000
alim: 16200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16200000/16200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 28100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7699761 hash collisions in 57926128 relations (52578290 unique)
Msieve: matrix is 1883805 x 1884031 (657.2 MB)

Sieving start time : 2021/05/19 09:54:10
Sieving end time  : 2021/05/19 18:39:09

Total sieving time: 8hrs 44min 59secs.

Total relation processing time: 1hrs 8min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 19sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16200000,16200000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118236] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241088K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486148K reserved, 0K cma-reserved)
[    0.153532] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798480)
[    0.152048] smpboot: Total of 16 processors activated (102387.84 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 10, 2012 00:51:39 UTC 2012 年 9 月 10 日 (月) 9 時 51 分 39 秒 (日本時間)
403e61000Dmitry DomanovSeptember 24, 2012 11:10:25 UTC 2012 年 9 月 24 日 (月) 20 時 10 分 25 秒 (日本時間)
4511e61000 / 3506Dmitry DomanovSeptember 24, 2012 11:10:25 UTC 2012 年 9 月 24 日 (月) 20 時 10 分 25 秒 (日本時間)
5043e6200 / 7285Dmitry DomanovDecember 14, 2014 00:55:58 UTC 2014 年 12 月 14 日 (日) 9 時 55 分 58 秒 (日本時間)

7×10202+173

c173

name 名前Warut Roonguthai
date 日付September 9, 2012 19:18:23 UTC 2012 年 9 月 10 日 (月) 4 時 18 分 23 秒 (日本時間)
composite number 合成数
20055068357972516456634018070522368777653052614384855998761061935094228553310919759860935860637065299139464169698400118887956057849120950975349055095765311307123405799272551<173>
prime factors 素因数
100192595486449327830742448555501<33>
composite cofactor 合成数の残り
200165174488217436345643802924135727236558898976892047747354994736465556319163349962353695031251075538727767120052339475738097604676141942051<141>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3805008670
Step 1 took 7815ms
Step 2 took 5835ms
********** Factor found in step 2: 100192595486449327830742448555501
Found probable prime factor of 33 digits: 100192595486449327830742448555501
Composite cofactor 200165174488217436345643802924135727236558898976892047747354994736465556319163349962353695031251075538727767120052339475738097604676141942051 has 141 digits
software ソフトウェア
GMP-ECM 6.3

c141

name 名前Erik Branger
date 日付September 11, 2016 19:49:15 UTC 2016 年 9 月 12 日 (月) 4 時 49 分 15 秒 (日本時間)
composite number 合成数
200165174488217436345643802924135727236558898976892047747354994736465556319163349962353695031251075538727767120052339475738097604676141942051<141>
prime factors 素因数
158385053109503994167277179080863911978371160327549593744408495041463<69>
1263788284048669488152427265181407399993592578352543768655724493852133877<73>
factorization results 素因数分解の結果
Number: 23339_202
N = 200165174488217436345643802924135727236558898976892047747354994736465556319163349962353695031251075538727767120052339475738097604676141942051 (141 digits)
Divisors found:
r1=158385053109503994167277179080863911978371160327549593744408495041463 (pp69)
r2=1263788284048669488152427265181407399993592578352543768655724493852133877 (pp73)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 181.24 hours.
Factorization parameters were as follows:
 Murphy_E = 2.102e-11, selected by Maksym Voznyy
# expecting poly E from 1.97e-011 to > 2.27e-011; sieved all c5<2376
n: 200165174488217436345643802924135727236558898976892047747354994736465556319163349962353695031251075538727767120052339475738097604676141942051
Y0: -2473926194451574334158597739
Y1: 680502477118471
c0: -9613368545604174296327080835295608592
c1: 7022953569953076164419676249856
c2: -5068969406437570439866
c3: -283379095146911999
c4: 19405383306
c5: 2160
skew: 7118591.21
type: gnfs
# selected mechanically
rlim: 18600000
alim: 18600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18600000/18600000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23066337
Relations: 3584938 relations
Pruned matrix : 2213099 x 2213328
Polynomial selection time: 0.00 hours.
Total sieving time: 178.54 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 2.31 hours.
time per square root: 0.24 hours.
Prototype def-par.txt line would be: gnfs,140,5,65,2000,1e-05,0.28,250,20,50000,3600,18600000,18600000,28,28,56,56,2.6,2.6,100000
total time: 181.24 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-8-6.2.9200
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 10, 2012 14:19:49 UTC 2012 年 9 月 10 日 (月) 23 時 19 分 49 秒 (日本時間)
403e64000Warut RoonguthaiSeptember 10, 2012 14:20:36 UTC 2012 年 9 月 10 日 (月) 23 時 20 分 36 秒 (日本時間)
4511e640501000Dmitry DomanovSeptember 24, 2012 11:10:35 UTC 2012 年 9 月 24 日 (月) 20 時 10 分 35 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:09:26 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 26 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:35 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 35 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:26 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 26 秒 (日本時間)

7×10203+173

c187

name 名前Bob Backstrom
date 日付September 5, 2021 03:05:21 UTC 2021 年 9 月 5 日 (日) 12 時 5 分 21 秒 (日本時間)
composite number 合成数
8966207130593516787060148786106528427222198312528704753651577980486173761269607041733670354142164144456393954743366294238198154322856031558278582393738188861347962581511857567129858920437<187>
prime factors 素因数
16585460631164317322155472995659099836154298879801836064865901386450143324060313394360463901<92>
540606458270196341434204672064856243412824408351845409660668323443513617817517903433191047966137<96>
factorization results 素因数分解の結果
Number: n
N=8966207130593516787060148786106528427222198312528704753651577980486173761269607041733670354142164144456393954743366294238198154322856031558278582393738188861347962581511857567129858920437  ( 187 digits)
SNFS difficulty: 203 digits.
Divisors found:

Sun Sep  5 12:54:15 2021  p92 factor: 16585460631164317322155472995659099836154298879801836064865901386450143324060313394360463901
Sun Sep  5 12:54:15 2021  p96 factor: 540606458270196341434204672064856243412824408351845409660668323443513617817517903433191047966137
Sun Sep  5 12:54:15 2021  elapsed time 01:52:13 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 7x10^203+17 = 23(202)9
#
n: 8966207130593516787060148786106528427222198312528704753651577980486173761269607041733670354142164144456393954743366294238198154322856031558278582393738188861347962581511857567129858920437
m: 10000000000000000000000000000000000000000
deg: 5
c5: 7000
c0: 17
skew: 0.30
# Murphy_E = 9.478e-12
type: snfs
lss: 1
rlim: 17500000
alim: 17500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17500000/17500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9992374 hash collisions in 64579447 relations (56944798 unique)
Msieve: matrix is 2176877 x 2177108 (751.8 MB)

Sieving start time : 2021/09/04 21:46:56
Sieving end time  : 2021/09/05 11:00:46

Total sieving time: 13hrs 13min 50secs.

Total relation processing time: 1hrs 29min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 22sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17500000,17500000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116939] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239968K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved)
[    0.154077] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.20 BogoMIPS (lpj=12798404)
[    0.152034] smpboot: Total of 16 processors activated (102387.23 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 10, 2012 00:51:47 UTC 2012 年 9 月 10 日 (月) 9 時 51 分 47 秒 (日本時間)
403e61000Dmitry DomanovSeptember 24, 2012 11:10:49 UTC 2012 年 9 月 24 日 (月) 20 時 10 分 49 秒 (日本時間)
4511e61000 / 3506Dmitry DomanovSeptember 24, 2012 11:10:49 UTC 2012 年 9 月 24 日 (月) 20 時 10 分 49 秒 (日本時間)
5043e6200 / 7285Dmitry DomanovDecember 14, 2014 00:56:18 UTC 2014 年 12 月 14 日 (日) 9 時 56 分 18 秒 (日本時間)

7×10204+173

c189

name 名前Bob Backstrom
date 日付May 18, 2021 01:07:16 UTC 2021 年 5 月 18 日 (火) 10 時 7 分 16 秒 (日本時間)
composite number 合成数
413794147620920843635749512881640030945876413709116486118975519252630704735597105172457572641710419239073569632407698065824023364831378074982122076724985820835325629098933065621648808113579<189>
prime factors 素因数
6021992655010505633981254782875604184473667828951<49>
68713824696652500540792236527422348408058821102825156356224038978282850979240641885013703965211074558335538973763699144074903403854983774029<140>
factorization results 素因数分解の結果
#
# N = 7x10^204+17 = 23(203)9
#
n: 413794147620920843635749512881640030945876413709116486118975519252630704735597105172457572641710419239073569632407698065824023364831378074982122076724985820835325629098933065621648808113579
m: 10000000000000000000000000000000000
deg: 6
c6: 7
c0: 17
skew: 1.16
# Murphy_E = 8.835e-12
type: snfs
lss: 1
rlim: 18200000
alim: 18200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 413794147620920843635749512881640030945876413709116486118975519252630704735597105172457572641710419239073569632407698065824023364831378074982122076724985820835325629098933065621648808113579 (189 digits)
Using B1=35340000, B2=192388936756, polynomial Dickson(12), sigma=1:4076905148
Step 1 took 95641ms
Step 2 took 34004ms
********** Factor found in step 2: 6021992655010505633981254782875604184473667828951
Found prime factor of 49 digits: 6021992655010505633981254782875604184473667828951
Prime cofactor 68713824696652500540792236527422348408058821102825156356224038978282850979240641885013703965211074558335538973763699144074903403854983774029 has 140 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 10, 2012 00:51:55 UTC 2012 年 9 月 10 日 (月) 9 時 51 分 55 秒 (日本時間)
403e61000Dmitry DomanovSeptember 24, 2012 11:11:03 UTC 2012 年 9 月 24 日 (月) 20 時 11 分 3 秒 (日本時間)
4511e61000 / 3506Dmitry DomanovSeptember 24, 2012 11:11:03 UTC 2012 年 9 月 24 日 (月) 20 時 11 分 3 秒 (日本時間)
5043e6200 / 7285Dmitry DomanovDecember 14, 2014 00:56:30 UTC 2014 年 12 月 14 日 (日) 9 時 56 分 30 秒 (日本時間)

7×10205+173

c175

name 名前Dmitry Domanov
date 日付December 15, 2014 06:46:34 UTC 2014 年 12 月 15 日 (月) 15 時 46 分 34 秒 (日本時間)
composite number 合成数
5545228795578113107343851099723007469846483543927071910612734930750177191858363822340590700720897429866967377737264917912197281133421842497330971518835724102257996905217716691<175>
prime factors 素因数
31928722424844082629655185285459215527657<41>
composite cofactor 合成数の残り
173675248316960871802104820560120220213048503700687891505384656926271648134527412296709857225552415354608804603156879353025390206319963<135>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3108967967
Step 1 took 452528ms
Step 2 took 108657ms
********** Factor found in step 2: 31928722424844082629655185285459215527657
Found probable prime factor of 41 digits: 31928722424844082629655185285459215527657

c135

name 名前Erik Branger
date 日付April 15, 2015 05:49:11 UTC 2015 年 4 月 15 日 (水) 14 時 49 分 11 秒 (日本時間)
composite number 合成数
173675248316960871802104820560120220213048503700687891505384656926271648134527412296709857225552415354608804603156879353025390206319963<135>
prime factors 素因数
107082240688280759981984898258823989340907770608660410024973971<63>
1621886572419922754065882445727262548034779114973356324548755154431734553<73>
factorization results 素因数分解の結果
Number: 23339_205
N = 173675248316960871802104820560120220213048503700687891505384656926271648134527412296709857225552415354608804603156879353025390206319963 (135 digits)
Divisors found:
r1=107082240688280759981984898258823989340907770608660410024973971 (pp63)
r2=1621886572419922754065882445727262548034779114973356324548755154431734553 (pp73)
Version: Msieve v. 1.52 (SVN 958)
Total time: 96.15 hours.
Factorization parameters were as follows:
# Murphy_E = 4.235e-11, selected by Dmitry Domanov
n: 173675248316960871802104820560120220213048503700687891505384656926271648134527412296709857225552415354608804603156879353025390206319963
Y0: -62361613227538418727056594
Y1: 693494633993453
c0: 53772535541574976263778609368885
c1: 1430307030049083111958013341
c2: -388967332937370055030
c3: -61610491363882361
c4: 117537466425
c5: 184140
skew: 260089.24
type: gnfs
# selected mechanically
rlim: 12700000
alim: 12700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 12700000/12700000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 21092363
Relations: 2895496 relations
Pruned matrix : 1786349 x 1786575
Polynomial selection time: 0.00 hours.
Total sieving time: 94.42 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.29 hours.
time per square root: 0.33 hours.
Prototype def-par.txt line would be: gnfs,134,5,65,2000,1e-05,0.28,250,20,50000,3600,12700000,12700000,28,28,54,54,2.6,2.6,100000
total time: 96.15 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 10, 2012 00:52:04 UTC 2012 年 9 月 10 日 (月) 9 時 52 分 4 秒 (日本時間)
403e61000Dmitry DomanovSeptember 24, 2012 11:11:18 UTC 2012 年 9 月 24 日 (月) 20 時 11 分 18 秒 (日本時間)
4511e61000 / 3506Dmitry DomanovSeptember 24, 2012 11:11:18 UTC 2012 年 9 月 24 日 (月) 20 時 11 分 18 秒 (日本時間)
5043e6200 / 7285Dmitry DomanovDecember 15, 2014 14:12:25 UTC 2014 年 12 月 15 日 (月) 23 時 12 分 25 秒 (日本時間)

7×10206+173

c174

composite cofactor 合成数の残り
272342829463957856791629419245218029758802352703880824261192194115400124598057930584661663361799862736096034415316173282599908788342676258784973207308175596859797905509090091<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 10, 2012 00:52:12 UTC 2012 年 9 月 10 日 (月) 9 時 52 分 12 秒 (日本時間)
403e61000Dmitry DomanovSeptember 24, 2012 11:11:48 UTC 2012 年 9 月 24 日 (月) 20 時 11 分 48 秒 (日本時間)
4511e61000 / 3506Dmitry DomanovSeptember 24, 2012 11:11:48 UTC 2012 年 9 月 24 日 (月) 20 時 11 分 48 秒 (日本時間)
5043e6200 / 7285Dmitry DomanovDecember 14, 2014 22:06:12 UTC 2014 年 12 月 15 日 (月) 7 時 6 分 12 秒 (日本時間)

7×10207+173

c163

name 名前Dmitry Domanov
date 日付September 24, 2012 06:19:47 UTC 2012 年 9 月 24 日 (月) 15 時 19 分 47 秒 (日本時間)
composite number 合成数
4223528999188696202310575309525716521390044992216653680356073172220538911759800281193126684954173908909274646543354254627527868125089526747859598872139445803049201<163>
prime factors 素因数
3161366118512399191522274596860439712143<40>
1335982243390431623810173150203011044649272771674029522147415355317084696018509173212733499196232698325020373399952616449407<124>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2546336936
Step 1 took 72364ms
Step 2 took 26243ms
********** Factor found in step 2: 3161366118512399191522274596860439712143
Found probable prime factor of 40 digits: 3161366118512399191522274596860439712143

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 10, 2012 00:52:20 UTC 2012 年 9 月 10 日 (月) 9 時 52 分 20 秒 (日本時間)

7×10208+173

c187

name 名前Dmitry Domanov
date 日付September 14, 2012 08:15:55 UTC 2012 年 9 月 14 日 (金) 17 時 15 分 55 秒 (日本時間)
composite number 合成数
4415746829666446760092127151205487099579517079108414061492709322500725426951765061171327151132445991918803628043869018552403041562465618706493560648609862369498257062732029882369520020193<187>
prime factors 素因数
74974961043782447439472646200526829821<38>
58896287082934570202756792245778505177775866363874012157397101830094872860889629178914793654192871745027383746331217797505872139283266559110686974133<149>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2925218327
Step 1 took 22807ms
Step 2 took 9235ms
********** Factor found in step 2: 74974961043782447439472646200526829821
Found probable prime factor of 38 digits: 74974961043782447439472646200526829821

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 10, 2012 00:52:28 UTC 2012 年 9 月 10 日 (月) 9 時 52 分 28 秒 (日本時間)

7×10210+173

c167

name 名前Warut Roonguthai
date 日付September 9, 2012 09:35:36 UTC 2012 年 9 月 9 日 (日) 18 時 35 分 36 秒 (日本時間)
composite number 合成数
24859579034720055707259671064227025481298414226878593404715039545905333024268905451619138004009855634995200115959498552216995429169181812427127232481680645399883489441<167>
prime factors 素因数
8076698266173394577087557557649711271<37>
3077938312842050882578164796624703450511065590923536757256258501547849716821649191590969573362825585348190905213345623327784785271<130>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=213309470
Step 1 took 8081ms
********** Factor found in step 1: 8076698266173394577087557557649711271
Found probable prime factor of 37 digits: 8076698266173394577087557557649711271
Probable prime cofactor 3077938312842050882578164796624703450511065590923536757256258501547849716821649191590969573362825585348190905213345623327784785271 has 130 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)

7×10211+173

c179

name 名前Dmitry Domanov
date 日付December 15, 2014 06:43:38 UTC 2014 年 12 月 15 日 (月) 15 時 43 分 38 秒 (日本時間)
composite number 合成数
27853062046250490064986716260456262145460136318363189888305094626306868569356464687620451525400710844594029977012585918510282972324824507190524687015377431952456038184997222555971<179>
prime factors 素因数
13011980577572299746549693432628380922638317<44>
2140570521159443173848769398528277634069002467968393883045908430781474259035345169756416004059313474082008511486078687090498445265326063<136>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=895992536
Step 1 took 431992ms
Step 2 took 107050ms
********** Factor found in step 2: 13011980577572299746549693432628380922638317
Found probable prime factor of 44 digits: 13011980577572299746549693432628380922638317

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 9, 2012 18:36:58 UTC 2012 年 9 月 10 日 (月) 3 時 36 分 58 秒 (日本時間)
403e61000Dmitry DomanovSeptember 24, 2012 11:12:05 UTC 2012 年 9 月 24 日 (月) 20 時 12 分 5 秒 (日本時間)
4511e61000 / 3506Dmitry DomanovSeptember 24, 2012 11:12:05 UTC 2012 年 9 月 24 日 (月) 20 時 12 分 5 秒 (日本時間)
5043e6200 / 7285Dmitry DomanovDecember 14, 2014 22:06:31 UTC 2014 年 12 月 15 日 (月) 7 時 6 分 31 秒 (日本時間)

7×10212+173

c164

composite cofactor 合成数の残り
20762514608982852737214065417054269133781788586715821724387143131536454740924049071801590301706256294319654739628294459402841845250544715182968176669615485959698341<164>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 9, 2012 15:09:49 UTC 2012 年 9 月 10 日 (月) 0 時 9 分 49 秒 (日本時間)
403e61000Dmitry DomanovSeptember 24, 2012 11:12:16 UTC 2012 年 9 月 24 日 (月) 20 時 12 分 16 秒 (日本時間)
4511e61000 / 3506Dmitry DomanovSeptember 24, 2012 11:12:16 UTC 2012 年 9 月 24 日 (月) 20 時 12 分 16 秒 (日本時間)
5043e6200 / 7285Dmitry DomanovDecember 14, 2014 22:06:49 UTC 2014 年 12 月 15 日 (月) 7 時 6 分 49 秒 (日本時間)

7×10213+173

c198

composite cofactor 合成数の残り
377016649213837603590019910047926660594902512837858304222423112137229888733167848120866417413844653996690283440812036614091144057636516991573190999522289394842729105786342118208912536395177167062133<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 9, 2012 18:39:09 UTC 2012 年 9 月 10 日 (月) 3 時 39 分 9 秒 (日本時間)
403e61000Dmitry DomanovSeptember 24, 2012 11:12:29 UTC 2012 年 9 月 24 日 (月) 20 時 12 分 29 秒 (日本時間)
4511e61000 / 3471Dmitry DomanovSeptember 24, 2012 11:12:29 UTC 2012 年 9 月 24 日 (月) 20 時 12 分 29 秒 (日本時間)
5043e6210 / 7285Dmitry DomanovDecember 15, 2014 00:53:03 UTC 2014 年 12 月 15 日 (月) 9 時 53 分 3 秒 (日本時間)

7×10214+173

c189

name 名前Dmitry Domanov
date 日付September 21, 2012 06:18:39 UTC 2012 年 9 月 21 日 (金) 15 時 18 分 39 秒 (日本時間)
composite number 合成数
325068335250241812100611743190664877552249118598036837507198973590041124301435514757893619733334209226135645783314875183205424530896787653155993514078952302028018699472622243130329142994299<189>
prime factors 素因数
138208042768346579882925783926122253621<39>
composite cofactor 合成数の残り
2352021841414075415670570363555942828544286659356220259432708599670444465119137963831229481886973715398999570702534913112964491055996788731443448065519<151>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1087523649
Step 1 took 83931ms
Step 2 took 30119ms
********** Factor found in step 2: 138208042768346579882925783926122253621
Found probable prime factor of 39 digits: 138208042768346579882925783926122253621

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 9, 2012 18:35:48 UTC 2012 年 9 月 10 日 (月) 3 時 35 分 48 秒 (日本時間)
403e61000Dmitry DomanovSeptember 24, 2012 11:12:42 UTC 2012 年 9 月 24 日 (月) 20 時 12 分 42 秒 (日本時間)
4511e61000 / 3436Dmitry DomanovSeptember 24, 2012 11:12:42 UTC 2012 年 9 月 24 日 (月) 20 時 12 分 42 秒 (日本時間)
5043e6220 / 7285Dmitry DomanovDecember 15, 2014 00:53:41 UTC 2014 年 12 月 15 日 (月) 9 時 53 分 41 秒 (日本時間)

7×10217+173

c203

name 名前Dmitry Domanov
date 日付September 19, 2012 16:37:35 UTC 2012 年 9 月 20 日 (木) 1 時 37 分 35 秒 (日本時間)
composite number 合成数
53686413171034080992535078068715605414381960594287735278595260482620944821872153816439633282044255163393061641564626570265732823313295350717736920342134446283329949100689750595327706245724601388107805003<203>
prime factors 素因数
102511541985848289655399299776224271<36>
composite cofactor 合成数の残り
523710912264352497274958414234514723616175510855275915425934172463644747360957025498539782674764258113520449696593960491671140135626411021617877370498810429506429061893<168>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2837012016
Step 1 took 100099ms
Step 2 took 33580ms
********** Factor found in step 2: 102511541985848289655399299776224271
Found probable prime factor of 36 digits: 102511541985848289655399299776224271

c168

name 名前Dmitry Domanov
date 日付September 21, 2012 10:26:57 UTC 2012 年 9 月 21 日 (金) 19 時 26 分 57 秒 (日本時間)
composite number 合成数
523710912264352497274958414234514723616175510855275915425934172463644747360957025498539782674764258113520449696593960491671140135626411021617877370498810429506429061893<168>
prime factors 素因数
12153352194673392210699510475368209621128434829<47>
9808911933052136025398105181544022137754736187053641<52>
4393136567503514547275607721065268774176818835532002412621619768731537<70>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=378430437
Step 1 took 71496ms
Step 2 took 26883ms
********** Factor found in step 2: 12153352194673392210699510475368209621128434829
Found probable prime factor of 47 digits: 12153352194673392210699510475368209621128434829
Composite cofactor 43091889700512924541871509067762344040791987157133897745450980786249666493589279132302863393313587657466267368043947376217 has 122 digits

N=43091889700512924541871509067762344040791987157133897745450980786249666493589279132302863393313587657466267368043947376217
  ( 122 digits)
Divisors found:
 r1=9808911933052136025398105181544022137754736187053641 (pp52)
 r2=4393136567503514547275607721065268774176818835532002412621619768731537 (pp70)
Version: Msieve-1.40
Total time: 44.90 hours.
Scaled time: 86.03 units (timescale=1.916).
Factorization parameters were as follows:
n: 43091889700512924541871509067762344040791987157133897745450980786249666493589279132302863393313587657466267368043947376217
skew: 163578.93
c0: 666770075952532296331124377580
c1: 16916656205002718876413416
c2: -80433553670574761311
c3: -1952072654514600
c4: 4904880356
c5: 16080
Y0: -305929672691515107257517
Y1: 3429022906513
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.500000
alambda: 2.500000
type: gnfs
qintsize: 320000
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2600000, 4840001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 781485 x 781723
Total sieving time: 44.04 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.63 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
gnfs,121,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5200000,5200000,27,27,54,54,2.500000,2.500000,100000
total time: 44.90 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 9, 2012 18:38:06 UTC 2012 年 9 月 10 日 (月) 3 時 38 分 6 秒 (日本時間)

7×10218+173

c163

composite cofactor 合成数の残り
3623873522006028573531122660122834847672669367704237044415964834595161446284299312375483070559992022191228228079486780557997794072642832064655885573147971082144417<163>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 9, 2012 15:09:35 UTC 2012 年 9 月 10 日 (月) 0 時 9 分 35 秒 (日本時間)
403e61000Dmitry DomanovSeptember 24, 2012 11:12:54 UTC 2012 年 9 月 24 日 (月) 20 時 12 分 54 秒 (日本時間)
4511e61000 / 3436Dmitry DomanovSeptember 24, 2012 11:12:54 UTC 2012 年 9 月 24 日 (月) 20 時 12 分 54 秒 (日本時間)
5043e6220 / 7285Dmitry DomanovDecember 15, 2014 00:54:10 UTC 2014 年 12 月 15 日 (月) 9 時 54 分 10 秒 (日本時間)

7×10220+173

c175

name 名前Erik Branger
date 日付December 1, 2018 07:49:24 UTC 2018 年 12 月 1 日 (土) 16 時 49 分 24 秒 (日本時間)
composite number 合成数
4973339718786221859261260139621104962689734357635208734857534358340942630729650707185794522755813817826146961386298164042912780982032938582838157286686510255544005436292364419<175>
prime factors 素因数
34644903400675969434654115580425516420938302125483975751039973296254854337996457<80>
143551842568831789595824080489245783493653791010496600266993274183547502321287374258570642267467<96>
factorization results 素因数分解の結果
Number: 23339_220
N = 4973339718786221859261260139621104962689734357635208734857534358340942630729650707185794522755813817826146961386298164042912780982032938582838157286686510255544005436292364419 (175 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=34644903400675969434654115580425516420938302125483975751039973296254854337996457 (pp80)
r2=143551842568831789595824080489245783493653791010496600266993274183547502321287374258570642267467 (pp96)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 40.99 hours.
Factorization parameters were as follows:
n: 4973339718786221859261260139621104962689734357635208734857534358340942630729650707185794522755813817826146961386298164042912780982032938582838157286686510255544005436292364419
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 7
c0: 17
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31905347
Relations: 7881718 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 19.47 hours.
Total relation processing time: 0.28 hours.
Pruned matrix : 6931528 x 6931753
Matrix solve time: 20.96 hours.
time per square root: 0.27 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 40.99 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 9, 2012 17:52:29 UTC 2012 年 9 月 10 日 (月) 2 時 52 分 29 秒 (日本時間)
403e61000Dmitry DomanovSeptember 24, 2012 11:13:06 UTC 2012 年 9 月 24 日 (月) 20 時 13 分 6 秒 (日本時間)
4511e61000 / 3436Dmitry DomanovSeptember 24, 2012 11:13:06 UTC 2012 年 9 月 24 日 (月) 20 時 13 分 6 秒 (日本時間)
5043e6220 / 7285Dmitry DomanovDecember 15, 2014 21:53:56 UTC 2014 年 12 月 16 日 (火) 6 時 53 分 56 秒 (日本時間)

7×10223+173

c188

name 名前Warut Roonguthai
date 日付September 9, 2012 12:04:10 UTC 2012 年 9 月 9 日 (日) 21 時 4 分 10 秒 (日本時間)
composite number 合成数
35731891085006872733505556511229721644995670484245648179224563066029643281327282231165589016510117433131194767863546155270829631161324666440474877028239612709024609595001623187709230590607<188>
prime factors 素因数
31918138901430999062689024104596213<35>
composite cofactor 合成数の残り
1119485418474850053020291110290703209988253146322496425795261230710776388286850857328221526866971212169092768839517573181998923080752331383106162646609139<154>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2314354894
Step 1 took 12839ms
Step 2 took 8019ms
********** Factor found in step 2: 31918138901430999062689024104596213
Found probable prime factor of 35 digits: 31918138901430999062689024104596213
Composite cofactor 1119485418474850053020291110290703209988253146322496425795261230710776388286850857328221526866971212169092768839517573181998923080752331383106162646609139 has 154 digits
software ソフトウェア
GMP-ECM 6.3

c154

name 名前Erik Branger
date 日付October 21, 2018 21:18:33 UTC 2018 年 10 月 22 日 (月) 6 時 18 分 33 秒 (日本時間)
composite number 合成数
1119485418474850053020291110290703209988253146322496425795261230710776388286850857328221526866971212169092768839517573181998923080752331383106162646609139<154>
prime factors 素因数
1764717242915987878163347214351538616701820973110844096439641<61>
634370986609181619265755261439675505000454121171823859311854695705469293401326766950927777579<93>
factorization results 素因数分解の結果
Number: 23339_223
N = 1119485418474850053020291110290703209988253146322496425795261230710776388286850857328221526866971212169092768839517573181998923080752331383106162646609139 (154 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=1764717242915987878163347214351538616701820973110844096439641 (pp61)
r2=634370986609181619265755261439675505000454121171823859311854695705469293401326766950927777579 (pp93)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 101.52 hours.
Factorization parameters were as follows:
n: 1119485418474850053020291110290703209988253146322496425795261230710776388286850857328221526866971212169092768839517573181998923080752331383106162646609139
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 7000
c0: 17
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 48072043
Relations: 11462350 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 33.87 hours.
Total relation processing time: 1.17 hours.
Pruned matrix : 9768030 x 9768255
Matrix solve time: 66.23 hours.
time per square root: 0.25 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 101.52 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 9, 2012 15:52:39 UTC 2012 年 9 月 10 日 (月) 0 時 52 分 39 秒 (日本時間)
403e61000Dmitry DomanovSeptember 24, 2012 11:13:19 UTC 2012 年 9 月 24 日 (月) 20 時 13 分 19 秒 (日本時間)
4511e642501000Dmitry DomanovSeptember 24, 2012 11:13:19 UTC 2012 年 9 月 24 日 (月) 20 時 13 分 19 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:41 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 41 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:35 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 35 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:35 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 35 秒 (日本時間)
400Serge BatalovJune 23, 2015 21:29:36 UTC 2015 年 6 月 24 日 (水) 6 時 29 分 36 秒 (日本時間)
700Ignacio SantosDecember 25, 2015 10:13:12 UTC 2015 年 12 月 25 日 (金) 19 時 13 分 12 秒 (日本時間)

7×10224+173

c176

composite cofactor 合成数の残り
83100615160826754679764194610878276227494480493105810490077059201906809240465455852501105760177443824662508109276967150989587852020759990849702522397440086263123317053487469293<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 9, 2012 15:14:37 UTC 2012 年 9 月 10 日 (月) 0 時 14 分 37 秒 (日本時間)
403e61000Dmitry DomanovSeptember 24, 2012 11:13:31 UTC 2012 年 9 月 24 日 (月) 20 時 13 分 31 秒 (日本時間)
4511e61000 / 3155Dmitry DomanovSeptember 24, 2012 11:13:31 UTC 2012 年 9 月 24 日 (月) 20 時 13 分 31 秒 (日本時間)
5043e6300 / 7285Dmitry DomanovNovember 18, 2014 21:12:11 UTC 2014 年 11 月 19 日 (水) 6 時 12 分 11 秒 (日本時間)

7×10225+173

c217

composite cofactor 合成数の残り
5192193342379958820848115127636362223277874247864713640349342665615496740115159243468324062846429861839614469437959660750661545327478120636872447508017523495281248277513038100012857428373735492028066187490565923773503<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 9, 2012 16:53:22 UTC 2012 年 9 月 10 日 (月) 1 時 53 分 22 秒 (日本時間)
403e61000Dmitry DomanovSeptember 24, 2012 11:13:41 UTC 2012 年 9 月 24 日 (月) 20 時 13 分 41 秒 (日本時間)
4511e61000 / 3471Dmitry DomanovSeptember 24, 2012 11:13:41 UTC 2012 年 9 月 24 日 (月) 20 時 13 分 41 秒 (日本時間)
5043e6210 / 7285Dmitry DomanovDecember 15, 2014 21:54:54 UTC 2014 年 12 月 16 日 (火) 6 時 54 分 54 秒 (日本時間)

7×10227+173

c201

composite cofactor 合成数の残り
465471533934846952090383595160708444495064255521527721251250240476215709166329322864989882885801590187061075695870621180793809162691924776994225190322704754486884984053240427899182469697491599453184599<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 9, 2012 16:09:04 UTC 2012 年 9 月 10 日 (月) 1 時 9 分 4 秒 (日本時間)
403e61000Dmitry DomanovSeptember 24, 2012 11:13:53 UTC 2012 年 9 月 24 日 (月) 20 時 13 分 53 秒 (日本時間)
4511e61000 / 3471Dmitry DomanovSeptember 24, 2012 11:13:53 UTC 2012 年 9 月 24 日 (月) 20 時 13 分 53 秒 (日本時間)
5043e6210 / 7285Dmitry DomanovDecember 15, 2014 21:55:21 UTC 2014 年 12 月 16 日 (火) 6 時 55 分 21 秒 (日本時間)

7×10229+173

c192

name 名前Warut Roonguthai
date 日付September 9, 2012 10:35:59 UTC 2012 年 9 月 9 日 (日) 19 時 35 分 59 秒 (日本時間)
composite number 合成数
629459111714998534981466494564232737113498279963133112810037509419373667127644706610414404223092535551881034378549696802033231577244654562298334310053137022479138070803499201687369630812701257<192>
prime factors 素因数
10235944063762587849490917282361<32>
61494973770266803692232952287315288233937860934496475519452683663576652923471321822192491561989198800138252444462163970853677486700712476638204554710867549089937<161>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3017566184
Step 1 took 12855ms
Step 2 took 8018ms
********** Factor found in step 2: 10235944063762587849490917282361
Found probable prime factor of 32 digits: 10235944063762587849490917282361
Probable prime cofactor 61494973770266803692232952287315288233937860934496475519452683663576652923471321822192491561989198800138252444462163970853677486700712476638204554710867549089937 has 161 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)

7×10230+173

c213

composite cofactor 合成数の残り
267328002081801753794383957133590778080631105909801333973696423424961171151468183588420004561548401804161053767542973122288525171637915027339072934055964948964482414525962069485630097215155788848750352266443298721<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 9, 2012 17:09:06 UTC 2012 年 9 月 10 日 (月) 2 時 9 分 6 秒 (日本時間)
403e61000Dmitry DomanovSeptember 24, 2012 11:14:05 UTC 2012 年 9 月 24 日 (月) 20 時 14 分 5 秒 (日本時間)
4511e61000 / 3155Dmitry DomanovSeptember 24, 2012 11:14:05 UTC 2012 年 9 月 24 日 (月) 20 時 14 分 5 秒 (日本時間)
5043e6300 / 7285Dmitry DomanovNovember 29, 2014 17:47:02 UTC 2014 年 11 月 30 日 (日) 2 時 47 分 2 秒 (日本時間)

7×10231+173

c212

name 名前Warut Roonguthai
date 日付September 9, 2012 10:42:22 UTC 2012 年 9 月 9 日 (日) 19 時 42 分 22 秒 (日本時間)
composite number 合成数
25378469236243266739199821066011705677836676129643729470407375644965401889086613255188140688263436389711556222833200354785602834879878382971631112775527072577479928440523168222807091702554544962560236007433671127<212>
prime factors 素因数
24729147018538865496310711148681<32>
composite cofactor 合成数の残り
1026257364122491548177322274056063860801368037296798549783598728539835135693231807455300590005107784802515783561568996029156296774916814666398910498133195656867091362697262367049567<181>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4282979002
Step 1 took 14289ms
********** Factor found in step 1: 24729147018538865496310711148681
Found probable prime factor of 32 digits: 24729147018538865496310711148681
Composite cofactor 1026257364122491548177322274056063860801368037296798549783598728539835135693231807455300590005107784802515783561568996029156296774916814666398910498133195656867091362697262367049567 has 181 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 9, 2012 20:45:34 UTC 2012 年 9 月 10 日 (月) 5 時 45 分 34 秒 (日本時間)
403e61000Dmitry DomanovSeptember 24, 2012 11:14:17 UTC 2012 年 9 月 24 日 (月) 20 時 14 分 17 秒 (日本時間)
4511e61000 / 3155Dmitry DomanovSeptember 24, 2012 11:14:17 UTC 2012 年 9 月 24 日 (月) 20 時 14 分 17 秒 (日本時間)
5043e6300 / 7285Dmitry DomanovNovember 18, 2014 21:11:51 UTC 2014 年 11 月 19 日 (水) 6 時 11 分 51 秒 (日本時間)

7×10234+173

c235

name 名前Ian
date 日付May 13, 2013 14:01:14 UTC 2013 年 5 月 13 日 (月) 23 時 1 分 14 秒 (日本時間)
composite number 合成数
2333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333339<235>
prime factors 素因数
1662285192949237881465880757055197801864736257179<49>
composite cofactor 合成数の残り
1403690138870525100410885528176007571811534481705266901239400261832852046499214554010300600949583734966020303905233871596053765168835200820157305048224234851168272333501095043025526591041<187>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 2333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333339 (235 digits)
[Mon May 13 19:14:26 2013]
Using MODMULN
Using B1=260000000, B2=3178559884516, polynomial Dickson(30), sigma=2430211610
dF=262144, k=4, d=2852850, d2=17, i0=75
Expected number of curves to find a factor of n digits:
35       40      45      50      55      60      65      70      75      80
23      82      335     1521    7650    42057   250476  1603736 1.1e+007        7.9e+007
Step 1 took 1120046ms
Using 28 small primes for NTT
Estimated memory usage: 1510M
Initializing tables of differences for F took 328ms
Computing roots of F took 28172ms
Building F from its roots took 16922ms
Computing 1/F took 5968ms
Initializing table of differences for G took 422ms
Computing roots of G took 22265ms
Building G from its roots took 16563ms
Computing roots of G took 22344ms
Building G from its roots took 16594ms
Computing G * H took 3297ms
Reducing  G * H mod F took 3297ms
Computing roots of G took 22343ms
Building G from its roots took 16641ms
Computing G * H took 3297ms
Reducing  G * H mod F took 3203ms
Computing roots of G took 22360ms
Building G from its roots took 16734ms
Computing G * H took 3281ms
Reducing  G * H mod F took 3219ms
Computing polyeval(F,G) took 34797ms
Computing product of all F(g_i) took 125ms
Step 2 took 262969ms
********** Factor found in step 2: 1662285192949237881465880757055197801864736257179
Found probable prime factor of 49 digits: 1662285192949237881465880757055197801864736257179
Composite cofactor 1403690138870525100410885528176007571811534481705266901239400261832852046499214554010300600949583734966020303905233871596053765168835200820157305048224234851168272333501095043025526591041 has 187 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
351e61118118Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 9, 2012 18:42:21 UTC 2012 年 9 月 10 日 (月) 3 時 42 分 21 秒 (日本時間)
403e60--
4511e62000600Serge BatalovSeptember 12, 2012 00:52:44 UTC 2012 年 9 月 12 日 (水) 9 時 52 分 44 秒 (日本時間)
400Serge BatalovSeptember 12, 2012 02:14:20 UTC 2012 年 9 月 12 日 (水) 11 時 14 分 20 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2012 11:14:33 UTC 2012 年 9 月 24 日 (月) 20 時 14 分 33 秒 (日本時間)
5043e6800Dmitry DomanovSeptember 24, 2012 11:14:49 UTC 2012 年 9 月 24 日 (月) 20 時 14 分 49 秒 (日本時間)
5511e70 / 12789--
6026e71965 / 41892yoyo@homeMay 13, 2013 01:20:23 UTC 2013 年 5 月 13 日 (月) 10 時 20 分 23 秒 (日本時間)

7×10235+173

c189

composite cofactor 合成数の残り
915196125003176768051899555810450126932523284246712180419230139904988773862515160695941902535481926340369544822194849143337914141770063771524199245627648836297489557570253358752856563276323<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 9, 2012 16:25:28 UTC 2012 年 9 月 10 日 (月) 1 時 25 分 28 秒 (日本時間)
403e61000Dmitry DomanovSeptember 24, 2012 11:15:37 UTC 2012 年 9 月 24 日 (月) 20 時 15 分 37 秒 (日本時間)
4511e61000 / 3506Dmitry DomanovSeptember 24, 2012 11:15:37 UTC 2012 年 9 月 24 日 (月) 20 時 15 分 37 秒 (日本時間)
5043e6200 / 7285Dmitry DomanovDecember 15, 2014 21:56:18 UTC 2014 年 12 月 16 日 (火) 6 時 56 分 18 秒 (日本時間)

7×10236+173

c213

composite cofactor 合成数の残り
102302815471758293804955514689376542990940160865197177197156836032579155346362817053485551781073381929681532920605995491944698693729731014919455957245193164872745550671037129589709609739115951938772239509426169437<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 9, 2012 18:33:38 UTC 2012 年 9 月 10 日 (月) 3 時 33 分 38 秒 (日本時間)
403e61000Dmitry DomanovSeptember 24, 2012 11:15:51 UTC 2012 年 9 月 24 日 (月) 20 時 15 分 51 秒 (日本時間)
4511e61000 / 3471Dmitry DomanovSeptember 24, 2012 11:15:51 UTC 2012 年 9 月 24 日 (月) 20 時 15 分 51 秒 (日本時間)
5043e6210 / 7285Dmitry DomanovDecember 15, 2014 21:56:42 UTC 2014 年 12 月 16 日 (火) 6 時 56 分 42 秒 (日本時間)

7×10237+173

c220

composite cofactor 合成数の残り
1920446207502022710221253467474824506821678953072974526044138650105834790013734605492907062050353723658182602702555870281803531966848889582746181223825293772327301679183580238473398579074878275337833869457442568626036967<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 9, 2012 15:17:17 UTC 2012 年 9 月 10 日 (月) 0 時 17 分 17 秒 (日本時間)
403e61000Dmitry DomanovSeptember 24, 2012 11:16:02 UTC 2012 年 9 月 24 日 (月) 20 時 16 分 2 秒 (日本時間)
4511e61000 / 3471Dmitry DomanovSeptember 24, 2012 11:16:02 UTC 2012 年 9 月 24 日 (月) 20 時 16 分 2 秒 (日本時間)
5043e6210 / 7285Dmitry DomanovDecember 15, 2014 21:57:07 UTC 2014 年 12 月 16 日 (火) 6 時 57 分 7 秒 (日本時間)

7×10238+173

c225

composite cofactor 合成数の残り
366846515249033196243802679192747805776674272974257525909005385690751464401640452410973525044368800632285598015129696322421770525525179028343173034798675538733062044910446438154752961174040160910861625488049522518738697062907<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 9, 2012 16:28:43 UTC 2012 年 9 月 10 日 (月) 1 時 28 分 43 秒 (日本時間)
403e61000Dmitry DomanovSeptember 24, 2012 11:16:17 UTC 2012 年 9 月 24 日 (月) 20 時 16 分 17 秒 (日本時間)
4511e61000 / 2454Dmitry DomanovSeptember 24, 2012 11:16:17 UTC 2012 年 9 月 24 日 (月) 20 時 16 分 17 秒 (日本時間)
5043e6500 / 7285Dmitry DomanovFebruary 19, 2013 11:24:41 UTC 2013 年 2 月 19 日 (火) 20 時 24 分 41 秒 (日本時間)

7×10239+173

c220

name 名前Dmitry Domanov
date 日付September 14, 2012 08:16:49 UTC 2012 年 9 月 14 日 (金) 17 時 16 分 49 秒 (日本時間)
composite number 合成数
8853897641488096502496783107656358176493382474300578635085441238234132447860449947906406875503662868625113994823338433110122792829752794288929113321204027375887872446232249412818984866166065369047620037150562940647944129<220>
prime factors 素因数
29926868612878504501575376756700619174581<41>
composite cofactor 合成数の残り
295851121479444611947393387992774169629529475109538303908049297780835184436405226683613729051293799796392092318258982752799555318612208031727161250754335590945626670670383033250909<180>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2751701571
Step 1 took 30691ms
Step 2 took 11110ms
********** Factor found in step 2: 29926868612878504501575376756700619174581
Found probable prime factor of 41 digits: 29926868612878504501575376756700619174581

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 9, 2012 15:07:11 UTC 2012 年 9 月 10 日 (月) 0 時 7 分 11 秒 (日本時間)
403e61000Dmitry DomanovSeptember 24, 2012 11:16:35 UTC 2012 年 9 月 24 日 (月) 20 時 16 分 35 秒 (日本時間)
4511e61000 / 3155Dmitry DomanovSeptember 24, 2012 11:16:35 UTC 2012 年 9 月 24 日 (月) 20 時 16 分 35 秒 (日本時間)
5043e6300 / 7285Dmitry DomanovNovember 18, 2014 21:11:02 UTC 2014 年 11 月 19 日 (水) 6 時 11 分 2 秒 (日本時間)

7×10240+173

c238

composite cofactor 合成数の残り
9762900976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762900976290097629009762901<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 9, 2012 15:56:55 UTC 2012 年 9 月 10 日 (月) 0 時 56 分 55 秒 (日本時間)
403e61000Dmitry DomanovSeptember 24, 2012 11:16:48 UTC 2012 年 9 月 24 日 (月) 20 時 16 分 48 秒 (日本時間)
4511e61000Dmitry DomanovSeptember 24, 2012 11:16:48 UTC 2012 年 9 月 24 日 (月) 20 時 16 分 48 秒 (日本時間)
5043e6920 / 7285Dmitry DomanovSeptember 24, 2012 11:16:59 UTC 2012 年 9 月 24 日 (月) 20 時 16 分 59 秒 (日本時間)

7×10241+173

c225

composite cofactor 合成数の残り
226752543087872490564145174707765190742065088364037680043881580138604831873904551750253984277368326666687804422316424566374205397881187045419462689715034993698837160626541853892924519360560231584105019368735491751681728334367<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 9, 2012 17:47:58 UTC 2012 年 9 月 10 日 (月) 2 時 47 分 58 秒 (日本時間)
403e61000Dmitry DomanovSeptember 24, 2012 11:17:26 UTC 2012 年 9 月 24 日 (月) 20 時 17 分 26 秒 (日本時間)
4511e61000 / 2454Dmitry DomanovSeptember 24, 2012 11:17:26 UTC 2012 年 9 月 24 日 (月) 20 時 17 分 26 秒 (日本時間)
5043e6500 / 7285Dmitry DomanovFebruary 19, 2013 11:24:13 UTC 2013 年 2 月 19 日 (火) 20 時 24 分 13 秒 (日本時間)

7×10244+173

c224

composite cofactor 合成数の残り
17267528039261883672095706408578706699240692930936406337207547785907013369133859224696642464610599344093497316041813595735856466139503614040807176918258494178635804567064931853827785638083912407480043557439365346656906860153<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 9, 2012 17:49:20 UTC 2012 年 9 月 10 日 (月) 2 時 49 分 20 秒 (日本時間)
403e61000Dmitry DomanovSeptember 24, 2012 11:17:41 UTC 2012 年 9 月 24 日 (月) 20 時 17 分 41 秒 (日本時間)
4511e61000 / 2454Dmitry DomanovSeptember 24, 2012 11:17:41 UTC 2012 年 9 月 24 日 (月) 20 時 17 分 41 秒 (日本時間)
5043e6500 / 7285Dmitry DomanovFebruary 19, 2013 11:23:50 UTC 2013 年 2 月 19 日 (火) 20 時 23 分 50 秒 (日本時間)

7×10245+173

c215

composite cofactor 合成数の残り
37643196110674595528939456712914934767843341125040799578319083096125283689156306498766724037089437785837841151482239246493732292592222511107392427514648088338319634929089802939820818124699068664699063949544126024507<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 9, 2012 17:49:29 UTC 2012 年 9 月 10 日 (月) 2 時 49 分 29 秒 (日本時間)
403e61000Dmitry DomanovSeptember 24, 2012 11:18:00 UTC 2012 年 9 月 24 日 (月) 20 時 18 分 0 秒 (日本時間)
4511e61000 / 3471Dmitry DomanovSeptember 24, 2012 11:18:00 UTC 2012 年 9 月 24 日 (月) 20 時 18 分 0 秒 (日本時間)
5043e6210 / 7285Dmitry DomanovDecember 16, 2014 19:46:28 UTC 2014 年 12 月 17 日 (水) 4 時 46 分 28 秒 (日本時間)

7×10246+173

c240

composite cofactor 合成数の残り
118296790525265296184828798265322903003915471670512748819765595585555846959982882792401824183828615800973288534000770585293481578139347974791900313390167505382461720045811953089644310787097328498509705482733459603327540001510481019592601739<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 9, 2012 17:06:02 UTC 2012 年 9 月 10 日 (月) 2 時 6 分 2 秒 (日本時間)
403e61000Dmitry DomanovSeptember 24, 2012 11:18:13 UTC 2012 年 9 月 24 日 (月) 20 時 18 分 13 秒 (日本時間)
4511e61000 / 2454Dmitry DomanovSeptember 24, 2012 11:18:13 UTC 2012 年 9 月 24 日 (月) 20 時 18 分 13 秒 (日本時間)
5043e6500 / 7285Dmitry DomanovFebruary 19, 2013 11:22:42 UTC 2013 年 2 月 19 日 (火) 20 時 22 分 42 秒 (日本時間)

7×10247+173

c238

composite cofactor 合成数の残り
6212218600467125417019057318225089547802154683012954856570379595516964196940651826342557476634134599283662630221987283687742849441732022221488251552776364909975428704386936570763468028402662088277887382716462196146158942583575886147173807<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 10, 2012 00:50:55 UTC 2012 年 9 月 10 日 (月) 9 時 50 分 55 秒 (日本時間)
403e61000Dmitry DomanovSeptember 24, 2012 11:18:32 UTC 2012 年 9 月 24 日 (月) 20 時 18 分 32 秒 (日本時間)
4511e61000 / 2454Dmitry DomanovSeptember 24, 2012 11:18:32 UTC 2012 年 9 月 24 日 (月) 20 時 18 分 32 秒 (日本時間)
5043e6500 / 7285Dmitry DomanovFebruary 19, 2013 11:23:30 UTC 2013 年 2 月 19 日 (火) 20 時 23 分 30 秒 (日本時間)

7×10248+173

c247

composite cofactor 合成数の残り
3482587064676616915422885572139303482587064676616915422885572139303482587064676616915422885572139303482587064676616915422885572139303482587064676616915422885572139303482587064676616915422885572139303482587064676616915422885572139303482587064676617<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 10, 2012 00:50:44 UTC 2012 年 9 月 10 日 (月) 9 時 50 分 44 秒 (日本時間)
403e61000Dmitry DomanovSeptember 24, 2012 11:18:54 UTC 2012 年 9 月 24 日 (月) 20 時 18 分 54 秒 (日本時間)
4511e61000Dmitry DomanovSeptember 24, 2012 11:18:54 UTC 2012 年 9 月 24 日 (月) 20 時 18 分 54 秒 (日本時間)
5043e6920Dmitry DomanovOctober 1, 2012 06:49:08 UTC 2012 年 10 月 1 日 (月) 15 時 49 分 8 秒 (日本時間)
5511e72650 / 17370yoyo@homeFebruary 12, 2013 06:25:11 UTC 2013 年 2 月 12 日 (火) 15 時 25 分 11 秒 (日本時間)

7×10249+173

c233

composite cofactor 合成数の残り
74464502351723418010925725781954059459577063146733275090406255737636409238935489529351204387734757526136808873289132801196672324731017390487083044820284874264614657163915541432154256051484436137890902247433440050663283329701638414533<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 10, 2012 00:50:34 UTC 2012 年 9 月 10 日 (月) 9 時 50 分 34 秒 (日本時間)
403e61000Dmitry DomanovSeptember 24, 2012 11:19:05 UTC 2012 年 9 月 24 日 (月) 20 時 19 分 5 秒 (日本時間)
4511e61000 / 3471Dmitry DomanovSeptember 24, 2012 11:19:05 UTC 2012 年 9 月 24 日 (月) 20 時 19 分 5 秒 (日本時間)
5043e6210 / 7285Dmitry DomanovDecember 16, 2014 19:47:02 UTC 2014 年 12 月 17 日 (水) 4 時 47 分 2 秒 (日本時間)

7×10250+173

c246

name 名前[AF>HFR>RR] julien76100
date 日付February 16, 2013 00:31:57 UTC 2013 年 2 月 16 日 (土) 9 時 31 分 57 秒 (日本時間)
composite number 合成数
145963788469277750322684232366010455177648356552001684839158331091746581840853596234968336283887057390876429141878887589116105852939397920224534010605311830782094830588171511621845357621707734621150987027989599037473074894019863586413690569279627<246>
prime factors 素因数
1150480299703562131069750650299696947274446415594380723<55>
composite cofactor 合成数の残り
126872045098805628395894010216777282063260048309873532677510076452259847928792365033531860983033361764734624981067392976471785046397234751185285542506193138505990931749647229909075332162645449<192>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 145963788469277750322684232366010455177648356552001684839158331091746581840853596234968336283887057390876429141878887589116105852939397920224534010605311830782094830588171511621845357621707734621150987027989599037473074894019863586413690569279627 (246 digits)
[Fri Feb 15 06:04:40 2013]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=4290469809
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35     40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 1153721ms
Using 29 small primes for NTT
Estimated memory usage: 841M
Initializing tables of differences for F took 733ms
Computing roots of F took 30919ms
Building F from its roots took 17144ms
Computing 1/F took 7051ms
Initializing table of differences for G took 608ms
Computing roots of G took 25928ms
Building G from its roots took 17160ms
Computing roots of G took 27503ms
Building G from its roots took 16832ms
Computing G * H took 3947ms
Reducing  G * H mod F took 3588ms
Computing roots of G took 25850ms
Building G from its roots took 17082ms
Computing G * H took 3931ms
Reducing  G * H mod F took 3791ms
Computing roots of G took 25943ms
Building G from its roots took 17160ms
Computing G * H took 3994ms
Reducing  G * H mod F took 3838ms
Computing polyeval(F,G) took 34538ms
Computing product of all F(g_i) took 156ms
Step 2 took 288274ms
********** Factor found in step 2: 1150480299703562131069750650299696947274446415594380723
Found probable prime factor of 55 digits: 1150480299703562131069750650299696947274446415594380723
Composite cofactor 126872045098805628395894010216777282063260048309873532677510076452259847928792365033531860983033361764734624981067392976471785046397234751185285542506193138505990931749647229909075332162645449 has 192 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
351e61118118Makoto KamadaSeptember 9, 2012 01:00:00 UTC 2012 年 9 月 9 日 (日) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiSeptember 10, 2012 00:50:16 UTC 2012 年 9 月 10 日 (月) 9 時 50 分 16 秒 (日本時間)
403e61000Dmitry DomanovSeptember 24, 2012 11:19:16 UTC 2012 年 9 月 24 日 (月) 20 時 19 分 16 秒 (日本時間)
4511e61000Dmitry DomanovSeptember 24, 2012 11:19:16 UTC 2012 年 9 月 24 日 (月) 20 時 19 分 16 秒 (日本時間)
5043e6920 / 2499Dmitry DomanovSeptember 25, 2012 11:55:51 UTC 2012 年 9 月 25 日 (火) 20 時 55 分 51 秒 (日本時間)
5511e71985 / 17370yoyo@homeFebruary 12, 2013 10:04:16 UTC 2013 年 2 月 12 日 (火) 19 時 4 分 16 秒 (日本時間)

7×10252+173

c218

composite cofactor 合成数の残り
14055556157513888442944835017790413888410401803380644178239131312331382553252746912794232614402220106820283822569419057721030534227074435979171313180262432449441851810030766306235821844180423705509457583964809421939077<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e62352iveliveOctober 1, 2020 17:49:55 UTC 2020 年 10 月 2 日 (金) 2 時 49 分 55 秒 (日本時間)

7×10253+173

c193

composite cofactor 合成数の残り
3403367450697596174597413110232177099455282115892091827721121143398690534980067139369187891653776330073176926432663268031314772017371310397346788120654169828080625621503995175518885846386307587<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 8, 2017 11:38:22 UTC 2017 年 2 月 8 日 (水) 20 時 38 分 22 秒 (日本時間)
4511e6320 / 4218Dmitry DomanovFebruary 8, 2017 11:38:22 UTC 2017 年 2 月 8 日 (水) 20 時 38 分 22 秒 (日本時間)

7×10254+173

c217

composite cofactor 合成数の残り
1824066449488864904406001431316325036622182238353172431393674462064456196002890999578196366250006273374541636547512558748464306694089670455444381854451234422215018678445265659134979515051708865267031543019613067580169<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)

7×10255+173

c240

composite cofactor 合成数の残り
158309732903781311108957832296327268768040538638658190776073953170779983508781526302068353246854635849194573030214625318470017544285847466691984840685957221289238943551723378190383353765747897871785163522400321665850205126638045224495486003<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)

7×10256+173

c252

composite cofactor 合成数の残り
990841790875762594306906167282404065282319135985958356335017764377822129743655073817713420244313275864509462539102863532775630953897546958823446147748665902302999419649808201339051905954959163163333191784506065367248432346738007275609721573456763910711<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)

7×10257+173

c212

composite cofactor 合成数の残り
10506414109845624561333817043585606967834662224455743625358306198565163965257671908318295960232100891965405204451210430808825335766744566470529615535768072811535871015076741952132742872751313524124212472530345291<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)

7×10259+173

c209

composite cofactor 合成数の残り
19804567289654743807755377228153539634348258956000048706258965249166162686480090989418101394969245330939080634120968209719217144351076825620016173068701319139968578373142843261655195553697970655194916549239647<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)

7×10260+173

c202

composite cofactor 合成数の残り
2254059236949914464238075296221942977153769141589885274766651794810348241629123872471038063703422065931742363139485304646122863449911344080504172862307286333014291652162764301165172030217060226758172931<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)

7×10261+173

c224

composite cofactor 合成数の残り
13363658198888150859412256438422753810497254602998715243839376906885929472850974911172546275922299489257279749282514245953905293928499154383820912448216351348388776538511663881808698061734895855898760102318817874734346625937<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)

7×10262+173

c244

composite cofactor 合成数の残り
1017980791436370778681311895006180448340486210079473411487835628450792225263024758283753683213302436624864905634016929287881394769338168771273645879601085750301621302042410234418748319414646698543372212905081005170778137053215130955192418023077<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)

7×10265+173

c197

composite cofactor 合成数の残り
17519324546014232581136824682017952013905510874624855384390309141271044170329492272570873239907512448138829461202095865618018648808511527066209809317329312494415682821494439992534141717875010453551<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 8, 2017 11:39:07 UTC 2017 年 2 月 8 日 (水) 20 時 39 分 7 秒 (日本時間)
4511e6320 / 4218Dmitry DomanovFebruary 8, 2017 11:39:07 UTC 2017 年 2 月 8 日 (水) 20 時 39 分 7 秒 (日本時間)

7×10266+173

c229

composite cofactor 合成数の残り
6459120193826770745267601730092387906957270528539619997447289277042548886424005188957133079568136460704438418974097559254119930078330857940208950537084105030284813262762412313969907299585173285682705580250056455499433352806356647<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)

7×10267+173

c245

composite cofactor 合成数の残り
11514750050518645426569237338956230942578413568399420810975084909977470171187450081823864465146337921126184753935385192367082268771065622473181278169709488383653386924806863852335631341851417886355692692585300835036660858724112198304741501192149<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)

7×10268+173

c222

composite cofactor 合成数の残り
206766926260816801297097791529572655075299063817067625751030767575709001122901465914309363003137406732622590916597367725121460922252264116650387997762262483929316416812942957298814063000562192191734818138943301697658468961<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)

7×10270+173

c265

composite cofactor 合成数の残り
2440809497956868106674533046991510515879034876029542163414985384781413305410472676706762192976675275750453031677174351555370983865900531433965119437525911807973845680168178748150650946458751539889277907431253728772366968036902250112538752209368454489886505845215717<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)

7×10271+173

c267

composite cofactor 合成数の残り
329060250931945639246546042580396470593765718503057909903303294833283974295693541487446351426946273862744268475557874646847837839108340737188979302110216380619291392253921693061999652136306157657467082222754986438016800876240439624495245079374033385512887409684713271<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)

7×10273+173

c244

composite cofactor 合成数の残り
3768311047923118791496014778942113633398345362508218081200785674261810091311311838052163598040471374368445402487030007950330243898838176303455536659413568517076156432181008352408221538959923519060053597596056956076000610696439409263335491122979<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)

7×10277+173

c278

composite cofactor 合成数の残り
23333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333339<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovFebruary 13, 2016 21:10:33 UTC 2016 年 2 月 14 日 (日) 6 時 10 分 33 秒 (日本時間)
4511e62000Serge BatalovFebruary 14, 2016 23:40:16 UTC 2016 年 2 月 15 日 (月) 8 時 40 分 16 秒 (日本時間)
5043e65440640Dmitry DomanovFebruary 18, 2016 14:18:48 UTC 2016 年 2 月 18 日 (木) 23 時 18 分 48 秒 (日本時間)
2400Dmitry DomanovOctober 4, 2016 14:36:25 UTC 2016 年 10 月 4 日 (火) 23 時 36 分 25 秒 (日本時間)
2400Dmitry DomanovOctober 7, 2016 14:33:23 UTC 2016 年 10 月 7 日 (金) 23 時 33 分 23 秒 (日本時間)
5511e7680 / 15693Dmitry DomanovOctober 12, 2016 14:44:48 UTC 2016 年 10 月 12 日 (水) 23 時 44 分 48 秒 (日本時間)

7×10278+173

c200

composite cofactor 合成数の残り
13411924061263006960577598731321768107971711629953448648069117172944564803804307487559132302477949788839267829556521336197494745916334733638402415192517615347657973086465305222135621696121388673141423<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 10, 2017 09:36:48 UTC 2017 年 2 月 10 日 (金) 18 時 36 分 48 秒 (日本時間)
4511e6320 / 4218Dmitry DomanovFebruary 10, 2017 09:36:48 UTC 2017 年 2 月 10 日 (金) 18 時 36 分 48 秒 (日本時間)

7×10279+173

c226

composite cofactor 合成数の残り
3628566315652065795351814827986198036780881370225244863011587938925895446369561628965360526883067868568096877771420716179790211551324126652182537683673581323096697346047913924187563623540334206652080854218069604175670346827857<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)

7×10280+173

c250

composite cofactor 合成数の残り
3193607673541789604469725529910341578285244443105353021163071774407259596171634807678666527464697184879585013042660501770521073348836744546617904299871760177377079501183141906283651505070904271609448425249326112090998905534552705067118878985145666331<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)

7×10281+173

c263

composite cofactor 合成数の残り
11932884326125685326648587627851345620645122181370596665660232728477762557118187817521342084609971275665069726299568233509648324388680907260693674848072364831980871353954454374519056633678441806803440835653138798158201649872184275181789264929592337991184121203251<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)

7×10283+173

c262

composite cofactor 合成数の残り
4180451379764949470440107011497308300887077272161283202655939249299662266453058583317269222157225464692948110960065895960345040520171366346111264572984745442516056781448966759573840674940088660047399092962999100727093442432108245145590434117080664839051289227433<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)

7×10285+173

c281

composite cofactor 合成数の残り
16647759568299811880316878212125752419276202978997662178906337326417378358388211483624550213210235042582590724344018816724814912587371009591487762707591616188281404214737072420132373471081652504179776777326702768522416208258715696696846676512627325632555407311220352123897383210021<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)

7×10287+173

c258

composite cofactor 合成数の残り
459781140369809540492007799975299218106173929136272212193698231140879531167990382098301600305876297818088555922431566400815253863467478431152435371324695597475614257805261980456777684427299226758569263321716823176698341719873863711582755897560106836615126459<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)

7×10288+173

c271

composite cofactor 合成数の残り
7776601637080675679882304447893558468982539764416077744472834319256887001777288692499336664160927304187382276281507148030994998791399890777498411298600824145181304086893845121644303537056849597252313362646329916064477110333382186266440890392611548519160944451731310820947<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)

7×10289+173

c242

composite cofactor 合成数の残り
23142534062713064958202731888697302567382523950421760133367676182359099970377174089520231417508974180310711275920566271448676886297751111955646170893100105337418006679304074601272423888750673267995101310163513330403410939373318963764063307997<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)

7×10290+173

c239

composite cofactor 合成数の残り
91390630142834627490630551831452528524536960168320212530364163927881152651394773959781301764349318977871815082567660755144937338361127023417516325529371286731792603891450927899779437150376943517677640777720537479067532021393114258238366721<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)

7×10292+173

c265

composite cofactor 合成数の残り
1330571548010625364758512119911898928607261767369095991351152138406482076499221038268961307968924969517915636363953875380585106487900555178776176331695138255920199180994968965818302656023010135913820920101847416999265356530621024504754816833205644435584967143738471<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)

7×10294+173

c266

composite cofactor 合成数の残り
24833729193094670537672136864026857706828186777186000265244828668824004294752165333104560098054244516233460776538113051857014903406694104748267368507441082173719171095170559103088698198147825568987702645237563167599892755365030606832225759182334333164152227737197347<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)

7×10295+173

c272

composite cofactor 合成数の残り
98465675501114323870530484505244705437696514631766604591626721956828971942730278423614216685674020934232590501257231500284011960879163191819929611442687122193061888303553633067299889830125405798979563977194783414596320742891671396275579671172637754516785607064368805394387<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)

7×10298+173

c296

composite cofactor 合成数の残り
14610728449175537466082237528699645168023377165518680859945731580045919432268837403464829889375913170528073471091630139845543727823001461072844917553746608223752869964516802337716551868085994573158004591943226883740346482988937591317052807347109163013984554372782300146107284491755374660822375287<296>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6800 / 2104Dmitry DomanovFebruary 15, 2016 13:09:48 UTC 2016 年 2 月 15 日 (月) 22 時 9 分 48 秒 (日本時間)

7×10299+173

c282

composite cofactor 合成数の残り
161594479919119573598199391223490030303910538058673511885610523237060554466367106851585953900082735935210587187748885094227292137151979141142389307556480347069691218865654341752995363667400020467577470691093751435792945438795122129184463422886372313692638214542284124824795440503297<282>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)