Table of contents 目次

23×10106-419

c85

name 名前Serge Batalov
date 日付July 27, 2008 19:36:10 UTC 2008 年 7 月 28 日 (月) 4 時 36 分 10 秒 (日本時間)
composite number 合成数
1708260472741610815635081495099835617949910688096929711288607302314546926614133221873<85>
prime factors 素因数
12361526776253110052746469951419<32>
138191705900215663268288927238977959384385858170547267<54>
factorization results 素因数分解の結果
Sun Jul 27 11:50:55 2008  Msieve v. 1.36
Sun Jul 27 11:50:55 2008  random seeds: 2bb3be20 caa580c6
Sun Jul 27 11:50:55 2008  factoring 1708260472741610815635081495099835617949910688096929711288607302314546926614133221873 (85 digits)
Sun Jul 27 11:50:55 2008  no P-1/P+1/ECM available, skipping
Sun Jul 27 11:50:55 2008  commencing quadratic sieve (85-digit input)
Sun Jul 27 11:50:55 2008  using multiplier of 1
Sun Jul 27 11:50:56 2008  using 64kb Opteron sieve core
Sun Jul 27 11:50:56 2008  sieve interval: 6 blocks of size 65536
Sun Jul 27 11:50:56 2008  processing polynomials in batches of 17
Sun Jul 27 11:50:56 2008  using a sieve bound of 1409879 (54118 primes)
Sun Jul 27 11:50:56 2008  using large prime bound of 118429836 (26 bits)
Sun Jul 27 11:50:56 2008  using trial factoring cutoff of 27 bits
Sun Jul 27 11:50:56 2008  polynomial 'A' values have 11 factors
Sun Jul 27 12:27:36 2008  54264 relations (27466 full + 26798 combined from 283153 partial), need 54214
Sun Jul 27 12:27:36 2008  begin with 310619 relations
Sun Jul 27 12:27:36 2008  reduce to 77728 relations in 2 passes
Sun Jul 27 12:27:36 2008  attempting to read 77728 relations
Sun Jul 27 12:27:37 2008  recovered 77728 relations
Sun Jul 27 12:27:37 2008  recovered 72460 polynomials
Sun Jul 27 12:27:37 2008  attempting to build 54264 cycles
Sun Jul 27 12:27:37 2008  found 54264 cycles in 1 passes
Sun Jul 27 12:27:37 2008  distribution of cycle lengths:
Sun Jul 27 12:27:37 2008     length 1 : 27466
Sun Jul 27 12:27:37 2008     length 2 : 26798
Sun Jul 27 12:27:37 2008  largest cycle: 2 relations
Sun Jul 27 12:27:37 2008  matrix is 54118 x 54264 (8.2 MB) with weight 1722644 (31.75/col)
Sun Jul 27 12:27:37 2008  sparse part has weight 1722644 (31.75/col)
Sun Jul 27 12:27:38 2008  filtering completed in 3 passes
Sun Jul 27 12:27:38 2008  matrix is 39821 x 39884 (6.6 MB) with weight 1398732 (35.07/col)
Sun Jul 27 12:27:38 2008  sparse part has weight 1398732 (35.07/col)
Sun Jul 27 12:27:38 2008  saving the first 48 matrix rows for later
Sun Jul 27 12:27:38 2008  matrix is 39773 x 39884 (4.2 MB) with weight 1024154 (25.68/col)
Sun Jul 27 12:27:38 2008  sparse part has weight 701631 (17.59/col)
Sun Jul 27 12:27:38 2008  matrix includes 64 packed rows
Sun Jul 27 12:27:38 2008  using block size 15953 for processor cache size 1024 kB
Sun Jul 27 12:27:38 2008  commencing Lanczos iteration
Sun Jul 27 12:27:38 2008  memory use: 4.3 MB
Sun Jul 27 12:27:46 2008  lanczos halted after 631 iterations (dim = 39770)
Sun Jul 27 12:27:46 2008  recovered 14 nontrivial dependencies
Sun Jul 27 12:27:46 2008  prp32 factor: 12361526776253110052746469951419
Sun Jul 27 12:27:46 2008  prp54 factor: 138191705900215663268288927238977959384385858170547267
Sun Jul 27 12:27:46 2008  elapsed time 00:36:51
software ソフトウェア
Msieve-1.36/QS
execution environment 実行環境
Opteron-2.8GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10110-419

c95

name 名前Serge Batalov
date 日付July 27, 2008 20:49:56 UTC 2008 年 7 月 28 日 (月) 5 時 49 分 56 秒 (日本時間)
composite number 合成数
70795651000427540270331785995431991726223223369658715988001782164765787215865399899805108995057<95>
prime factors 素因数
1171236310664623846065075156444685421318659<43>
60445232405964426967246594540875308055954431145200123<53>
factorization results 素因数分解の結果
Number: 25551_110
N=70795651000427540270331785995431991726223223369658715988001782164765787215865399899805108995057
  ( 95 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=1171236310664623846065075156444685421318659
 r2=60445232405964426967246594540875308055954431145200123
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.176).
Factorization parameters were as follows:
n: 70795651000427540270331785995431991726223223369658715988001782164765787215865399899805108995057
Y1: 1
Y0: -10000000000000000000000
c5: 23
c0: -41
skew: 1.12
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 400001)
Primes: rational ideals filtering, algebraic ideals filtering,
Relations: 2.8M relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 66260 x 66481
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,111,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000

total time: 1.05 hours.
software ソフトウェア
Msieve-1.36/snfs
execution environment 実行環境
Opteron-2.2GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10114-419

c89

name 名前Serge Batalov
date 日付July 27, 2008 17:47:57 UTC 2008 年 7 月 28 日 (月) 2 時 47 分 57 秒 (日本時間)
composite number 合成数
62930631060338283575574093321216850296192804193167916905519830393653519966210656499122289<89>
prime factors 素因数
725788414881940170954537007<27>
86706579727612278786969624143583485674657111291579725893503327<62>
factorization results 素因数分解の結果
Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=3525223640
Step 1 took 3573ms
********** Factor found in step 1: 725788414881940170954537007
Found probable prime factor of 27 digits: 725788414881940170954537007
Probable prime cofactor 86706579727612278786969624143583485674657111291579725893503327 has 62 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10116-419

c107

name 名前Sinkiti Sibata
date 日付July 28, 2008 08:17:08 UTC 2008 年 7 月 28 日 (月) 17 時 17 分 8 秒 (日本時間)
composite number 合成数
78129636030547262195749898698837870196137347232609306808107078432860782708361889269454031878999438043387141<107>
prime factors 素因数
20871150723274008192701347204335976081<38>
3743427330215324631982859564971087424753593345379490493751515455230261<70>
factorization results 素因数分解の結果
Number: 25551_116
N=78129636030547262195749898698837870196137347232609306808107078432860782708361889269454031878999438043387141
  ( 107 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=20871150723274008192701347204335976081 (pp38)
 r2=3743427330215324631982859564971087424753593345379490493751515455230261 (pp70)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.23 hours.
Scaled time: 1.73 units (timescale=0.774).
Factorization parameters were as follows:
name: 25551_116
n: 78129636030547262195749898698837870196137347232609306808107078432860782708361889269454031878999438043387141
m: 100000000000000000000000
c5: 230
c0: -41
skew: 0.71
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:63644, largePrimes:2232224 encountered
Relations: rels:2412467, finalFF:298474
Max relations in full relation-set: 28
Initial matrix: 112809 x 298474 with sparse part having weight 28115143.
Pruned matrix : 79906 x 80534 with weight 5836660.
Total sieving time: 2.12 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.03 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: 2.23 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10121-419

c96

name 名前Sinkiti Sibata
date 日付July 28, 2008 01:24:48 UTC 2008 年 7 月 28 日 (月) 10 時 24 分 48 秒 (日本時間)
composite number 合成数
344625522224700355890781569301728917200166256280370455883285888961664239432175325341492766702171<96>
prime factors 素因数
552729096969604125117866209022368136492287800707<48>
623498064629031326448330932831149966744250542153<48>
factorization results 素因数分解の結果
Number: 25551_121
N=344625522224700355890781569301728917200166256280370455883285888961664239432175325341492766702171
  ( 96 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=552729096969604125117866209022368136492287800707 (pp48)
 r2=623498064629031326448330932831149966744250542153 (pp48)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 2.99 hours.
Scaled time: 1.42 units (timescale=0.473).
Factorization parameters were as follows:
name: 25551_121
n: 344625522224700355890781569301728917200166256280370455883285888961664239432175325341492766702171
m: 1000000000000000000000000
c5: 230
c0: -41
skew: 0.71
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, 650001)
Primes: RFBsize:49098, AFBsize:63644, largePrimes:2079639 encountered
Relations: rels:2058172, finalFF:128435
Max relations in full relation-set: 28
Initial matrix: 112809 x 128435 with sparse part having weight 11139017.
Pruned matrix : 108190 x 108818 with weight 8118576.
Total sieving time: 2.71 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,122,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.99 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10123-419

c101

name 名前Sinkiti Sibata
date 日付July 28, 2008 10:43:38 UTC 2008 年 7 月 28 日 (月) 19 時 43 分 38 秒 (日本時間)
composite number 合成数
15535318557518891893677625380007670301471136199536056513238867420641462692932163565132174374942235739<101>
prime factors 素因数
637191652502528066422659078234237565527319133<45>
24380919769593584418550698024252096421356470057475816983<56>
factorization results 素因数分解の結果
Number: 25551_123
N=15535318557518891893677625380007670301471136199536056513238867420641462692932163565132174374942235739
  ( 101 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=637191652502528066422659078234237565527319133 (pp45)
 r2=24380919769593584418550698024252096421356470057475816983 (pp56)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 4.15 hours.
Scaled time: 3.19 units (timescale=0.768).
Factorization parameters were as follows:
name: 25551_123
n: 15535318557518891893677625380007670301471136199536056513238867420641462692932163565132174374942235739
m: 1000000000000000000000000
c5: 23000
c0: -41
skew: 0.28
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, 750001)
Primes: RFBsize:49098, AFBsize:63559, largePrimes:2391319 encountered
Relations: rels:2706287, finalFF:384069
Max relations in full relation-set: 28
Initial matrix: 112724 x 384069 with sparse part having weight 40247857.
Pruned matrix : 85697 x 86324 with weight 9432873.
Total sieving time: 4.00 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,124,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 4.15 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10124-419

c82

name 名前Serge Batalov
date 日付July 27, 2008 18:48:54 UTC 2008 年 7 月 28 日 (月) 3 時 48 分 54 秒 (日本時間)
composite number 合成数
2913446354481845142744359062908868931976606350837226718898980159766073710818270171<82>
prime factors 素因数
155830978679555689187019330766573207<36>
18696194936136122483576503549609207686186338653<47>
factorization results 素因数分解の結果
Sun Jul 27 11:25:25 2008  Msieve v. 1.36
Sun Jul 27 11:25:25 2008  random seeds: 795a1938 d119b872
Sun Jul 27 11:25:25 2008  factoring 2913446354481845142744359062908868931976606350837226718898980159766073710818270171 (82 digits)
Sun Jul 27 11:25:26 2008  no P-1/P+1/ECM available, skipping
Sun Jul 27 11:25:26 2008  commencing quadratic sieve (82-digit input)
Sun Jul 27 11:25:26 2008  using multiplier of 1
Sun Jul 27 11:25:26 2008  using 64kb Opteron sieve core
Sun Jul 27 11:25:26 2008  sieve interval: 6 blocks of size 65536
Sun Jul 27 11:25:26 2008  processing polynomials in batches of 17
Sun Jul 27 11:25:26 2008  using a sieve bound of 1337729 (51471 primes)
Sun Jul 27 11:25:26 2008  using large prime bound of 125746526 (26 bits)
Sun Jul 27 11:25:26 2008  using trial factoring cutoff of 27 bits
Sun Jul 27 11:25:26 2008  polynomial 'A' values have 10 factors
Sun Jul 27 11:46:04 2008  51676 relations (25977 full + 25699 combined from 278377 partial), need 51567
Sun Jul 27 11:46:05 2008  begin with 304354 relations
Sun Jul 27 11:46:05 2008  reduce to 74155 relations in 2 passes
Sun Jul 27 11:46:05 2008  attempting to read 74155 relations
Sun Jul 27 11:46:06 2008  recovered 74155 relations
Sun Jul 27 11:46:06 2008  recovered 65726 polynomials
Sun Jul 27 11:46:06 2008  attempting to build 51676 cycles
Sun Jul 27 11:46:07 2008  found 51676 cycles in 1 passes
Sun Jul 27 11:46:07 2008  distribution of cycle lengths:
Sun Jul 27 11:46:07 2008     length 1 : 25977
Sun Jul 27 11:46:07 2008     length 2 : 25699
Sun Jul 27 11:46:07 2008  largest cycle: 2 relations
Sun Jul 27 11:46:07 2008  matrix is 51471 x 51676 (7.7 MB) with weight 1608107 (31.12/col)
Sun Jul 27 11:46:07 2008  sparse part has weight 1608107 (31.12/col)
Sun Jul 27 11:46:08 2008  filtering completed in 3 passes
Sun Jul 27 11:46:08 2008  matrix is 37409 x 37473 (6.1 MB) with weight 1301480 (34.73/col)
Sun Jul 27 11:46:08 2008  sparse part has weight 1301480 (34.73/col)
Sun Jul 27 11:46:08 2008  saving the first 48 matrix rows for later
Sun Jul 27 11:46:08 2008  matrix is 37361 x 37473 (4.6 MB) with weight 1010936 (26.98/col)
Sun Jul 27 11:46:08 2008  sparse part has weight 827779 (22.09/col)
Sun Jul 27 11:46:08 2008  matrix includes 64 packed rows
Sun Jul 27 11:46:08 2008  using block size 14989 for processor cache size 1024 kB
Sun Jul 27 11:46:09 2008  commencing Lanczos iteration
Sun Jul 27 11:46:09 2008  memory use: 4.4 MB
Sun Jul 27 11:46:22 2008  lanczos halted after 593 iterations (dim = 37361)
Sun Jul 27 11:46:22 2008  recovered 18 nontrivial dependencies
Sun Jul 27 11:46:23 2008  prp36 factor: 155830978679555689187019330766573207
Sun Jul 27 11:46:23 2008  prp47 factor: 18696194936136122483576503549609207686186338653
Sun Jul 27 11:46:23 2008  elapsed time 00:20:58
software ソフトウェア
Msieve v. 1.36/QS
execution environment 実行環境
Opteron-2.8GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10125-419

c124

name 名前Robert Backstrom
date 日付July 28, 2008 08:30:38 UTC 2008 年 7 月 28 日 (月) 17 時 30 分 38 秒 (日本時間)
composite number 合成数
5943152454780361757105943152454780361757105943152454780361757105943152454780361757105943152454780361757105943152454780361757<124>
prime factors 素因数
249348569303014160413787592148654698519463<42>
23834716483005383332708850249577163177780742690701649474076750209456743894544822939<83>
factorization results 素因数分解の結果
Number: n
N=5943152454780361757105943152454780361757105943152454780361757105943152454780361757105943152454780361757105943152454780361757
  ( 124 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=249348569303014160413787592148654698519463 (pp42)
 r2=23834716483005383332708850249577163177780742690701649474076750209456743894544822939 (pp83)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.59 hours.
Scaled time: 2.90 units (timescale=1.818).
Factorization parameters were as follows:
name: KA_2_5_124_1
n: 5943152454780361757105943152454780361757105943152454780361757105943152454780361757105943152454780361757105943152454780361757
skew: 1.12
deg: 5
c5: 23
c0: -41
m: 10000000000000000000000000
type: snfs
rlim: 700000
alim: 700000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved algebraic special-q in [100000, 320001)
Primes: RFBsize:56543, AFBsize:56629, largePrimes:5090222 encountered
Relations: rels:4337119, finalFF:156374
Max relations in full relation-set: 48
Initial matrix: 113237 x 156374 with sparse part having weight 17243698.
Pruned matrix : 101383 x 102013 with weight 7505512.
Total sieving time: 1.44 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.05 hours.
Total square root time: 0.02 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,700000,700000,28,28,50,50,2.5,2.5,50000
total time: 1.59 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10127-419

c96

name 名前Sinkiti Sibata
date 日付July 28, 2008 13:47:05 UTC 2008 年 7 月 28 日 (月) 22 時 47 分 5 秒 (日本時間)
composite number 合成数
138610347974624100139747647275393532986136399287735632429301347986696578956797567157662333157607<96>
prime factors 素因数
7221520930973206646401819070774877612779<40>
19194065806847188314532804326356425958335559911996902133<56>
factorization results 素因数分解の結果
Number: 25551_127
N=138610347974624100139747647275393532986136399287735632429301347986696578956797567157662333157607
  ( 96 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=7221520930973206646401819070774877612779 (pp40)
 r2=19194065806847188314532804326356425958335559911996902133 (pp56)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 5.25 hours.
Scaled time: 4.06 units (timescale=0.774).
Factorization parameters were as follows:
name: 25551_127
n: 138610347974624100139747647275393532986136399287735632429301347986696578956797567157662333157607
m: 10000000000000000000000000
c5: 2300
c0: -41
skew: 0.45
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 1050001)
Primes: RFBsize:63951, AFBsize:63839, largePrimes:1565208 encountered
Relations: rels:1597866, finalFF:199561
Max relations in full relation-set: 28
Initial matrix: 127857 x 199561 with sparse part having weight 16075767.
Pruned matrix : 109221 x 109924 with weight 7153577.
Total sieving time: 5.11 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,128,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 5.25 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10128-419

c111

name 名前Serge Batalov
date 日付July 28, 2008 19:06:08 UTC 2008 年 7 月 29 日 (火) 4 時 6 分 8 秒 (日本時間)
composite number 合成数
104072538323130598266669657959877765401398196056849442449371065528617787768961145538112189660598674708969362837<111>
prime factors 素因数
183984724928350103604095598822455287<36>
565658580426499955089656149121889215128319053548001037907750693173909533651<75>
factorization results 素因数分解の結果
Number: 25551_128
N=104072538323130598266669657959877765401398196056849442449371065528617787768961145538112189660598674708969362837
  ( 111 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=183984724928350103604095598822455287
 r2=565658580426499955089656149121889215128319053548001037907750693173909533651
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
n: 104072538323130598266669657959877765401398196056849442449371065528617787768961145538112189660598674708969362837
Y1: 1
Y0: -10000000000000000000000000
c5: 23000
c0: -41
skew: 0.28
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [400000, 1050001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 120882 x 121130
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,129,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000

total time: 2.60 hours.
software ソフトウェア
Msieve 1.36
execution environment 実行環境
Opteron-2.2GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10129-419

c95

name 名前Sinkiti Sibata
date 日付July 28, 2008 06:51:28 UTC 2008 年 7 月 28 日 (月) 15 時 51 分 28 秒 (日本時間)
composite number 合成数
89217897573180606659720594531071090386214846727194734208262478987142825655424436387351428154037<95>
prime factors 素因数
145724632415306209970889384614530979<36>
612236216310466332533975530312917979837581554624783714920903<60>
factorization results 素因数分解の結果
Number: 25551_129
N=89217897573180606659720594531071090386214846727194734208262478987142825655424436387351428154037
  ( 95 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=145724632415306209970889384614530979 (pp36)
 r2=612236216310466332533975530312917979837581554624783714920903 (pp60)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 5.18 hours.
Scaled time: 4.01 units (timescale=0.774).
Factorization parameters were as follows:
name: 25551_129
n: 89217897573180606659720594531071090386214846727194734208262478987142825655424436387351428154037
m: 100000000000000000000000000
c5: 23
c0: -410
skew: 1.78
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 1050001)
Primes: RFBsize:63951, AFBsize:64059, largePrimes:1499300 encountered
Relations: rels:1490747, finalFF:160397
Max relations in full relation-set: 28
Initial matrix: 128075 x 160397 with sparse part having weight 12552187.
Pruned matrix : 119298 x 120002 with weight 7667375.
Total sieving time: 5.02 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 5.18 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10133-419

c104

name 名前Sinkiti Sibata
date 日付July 28, 2008 12:22:19 UTC 2008 年 7 月 28 日 (月) 21 時 22 分 19 秒 (日本時間)
composite number 合成数
45542935277458017797569348660685401934522573265115886086415534445131430705420105041865756177125119186349<104>
prime factors 素因数
131983281958163855510539651678444328449<39>
345065940183956376607582992204291886943136677148509477565980637101<66>
factorization results 素因数分解の結果
Number: 25551_133
N=45542935277458017797569348660685401934522573265115886086415534445131430705420105041865756177125119186349
  ( 104 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=131983281958163855510539651678444328449 (pp39)
 r2=345065940183956376607582992204291886943136677148509477565980637101 (pp66)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 10.59 hours.
Scaled time: 5.01 units (timescale=0.473).
Factorization parameters were as follows:
name: 25551_133
n: 45542935277458017797569348660685401934522573265115886086415534445131430705420105041865756177125119186349
m: 100000000000000000000000000
c5: 23000
c0: -41
skew: 0.28
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1450001)
Primes: RFBsize:78498, AFBsize:63559, largePrimes:1565148 encountered
Relations: rels:1564919, finalFF:169848
Max relations in full relation-set: 28
Initial matrix: 142124 x 169848 with sparse part having weight 15160791.
Pruned matrix : 133632 x 134406 with weight 10401980.
Total sieving time: 10.13 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.31 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,134,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 10.59 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10134-419

c133

name 名前Serge Batalov
date 日付July 28, 2008 06:03:22 UTC 2008 年 7 月 28 日 (月) 15 時 3 分 22 秒 (日本時間)
composite number 合成数
3078982597054886211512717536813922356091030789825970548862115127175368139223560910307898259705488621151271753681392235609103078982597<133>
prime factors 素因数
61675709953442697785653352579529799727020527376375559085086927<62>
49922126545103830085717272367270909155555235254621911382926371134183211<71>
factorization results 素因数分解の結果
Number: 25551_134
N=3078982597054886211512717536813922356091030789825970548862115127175368139223560910307898259705488621151271753681392235609103078982597
  ( 133 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=61675709953442697785653352579529799727020527376375559085086927
 r2=49922126545103830085717272367270909155555235254621911382926371134183211
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.303).
Factorization parameters were as follows:
n: 3078982597054886211512717536813922356091030789825970548862115127175368139223560910307898259705488621151271753681392235609103078982597
Y1: 1
Y0: -1000000000000000000000000000
c5: 23
c0: -410
skew: 1.78
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [500000, 1625001)
Primes: rational ideals filtering, algebraic ideals filtering,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 145782 x 146030
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000

total time: 4.5 hours.
software ソフトウェア
Msieve-1.36
execution environment 実行環境
Opteron-2.8GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10136-419

c130

name 名前Serge Batalov
date 日付July 28, 2008 19:04:37 UTC 2008 年 7 月 29 日 (火) 4 時 4 分 37 秒 (日本時間)
composite number 合成数
2856122139405856309563107813059951282752130483951642176474844660794454712203535608497877323817032394969305938353534250598068871511<130>
prime factors 素因数
7220707395104081979889441231486340266276055853078025872679218893<64>
395546029374132684362629681712347760388410687843986837692961179827<66>
factorization results 素因数分解の結果
Number: 25551_136
N=2856122139405856309563107813059951282752130483951642176474844660794454712203535608497877323817032394969305938353534250598068871511
  ( 130 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=7220707395104081979889441231486340266276055853078025872679218893
 r2=395546029374132684362629681712347760388410687843986837692961179827
Version: Msieve 1.36
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.294).
Factorization parameters were as follows:
n: 2856122139405856309563107813059951282752130483951642176474844660794454712203535608497877323817032394969305938353534250598068871511
Y1: 1
Y0: -1000000000000000000000000000
c5: 230
c0: -41
skew: 0.71
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [500000, 2225001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 167043 x 167264
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000

total time: 6.60 hours.
software ソフトウェア
Msieve 1.36
execution environment 実行環境
Opteron-2.2GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10138-419

c139

name 名前Serge Batalov
date 日付July 27, 2008 23:45:55 UTC 2008 年 7 月 28 日 (月) 8 時 45 分 55 秒 (日本時間)
composite number 合成数
2555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551<139>
prime factors 素因数
17609003514447728631938833758128093<35>
145127778153873886153305871603820300439044982225316042826202236046692596812484867625963184012287196067307<105>
factorization results 素因数分解の結果
Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=1309995126
Step 1 took 6121ms
Step 2 took 5363ms
********** Factor found in step 2: 17609003514447728631938833758128093
Found probable prime factor of 35 digits: 17609003514447728631938833758128093
Probable prime cofactor 145127778153873886153305871603820300439044982225316042826202236046692596812484867625963184012287196067307 has 105 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10143-419

c113

name 名前Serge Batalov
date 日付July 27, 2008 23:44:18 UTC 2008 年 7 月 28 日 (月) 8 時 44 分 18 秒 (日本時間)
composite number 合成数
19696962250162405762904405729524130478613206368775793866036826487519606086209947030529329484254427987198049628989<113>
prime factors 素因数
538844847458477932858080232424621<33>
36554051399146403713935390141869213541499333355306590438897345084105764804979409<80>
factorization results 素因数分解の結果
Using B1=2000000, B2=8559543730, polynomial Dickson(6), sigma=2258810441
Step 1 took 8353ms
Step 2 took 7626ms
********** Factor found in step 2: 538844847458477932858080232424621
Found probable prime factor of 33 digits: 538844847458477932858080232424621
Probable prime cofactor 36554051399146403713935390141869213541499333355306590438897345084105764804979409 has 80 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10144-419

c145

name 名前Serge Batalov
date 日付July 28, 2008 07:42:48 UTC 2008 年 7 月 28 日 (月) 16 時 42 分 48 秒 (日本時間)
composite number 合成数
2555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551<145>
prime factors 素因数
11328951549049208258659188667017358765383634275585517<53>
225577410627202540610471998982892547446702289733649826841945206400113122054353971517703547003<93>
factorization results 素因数分解の結果
Number: 25551_144
N=2555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551
  ( 145 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=11328951549049208258659188667017358765383634275585517
 r2=225577410627202540610471998982892547446702289733649826841945206400113122054353971517703547003
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.952).
Factorization parameters were as follows:
n: 2555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551
Y1: 1
Y0: -100000000000000000000000000000
c5: 23
c0: -410
skew: 1.78
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved rational special-q in [750000, 2750001)
Primes: rational ideals filtering, algebraic ideals filtering,
Relations: 3186702 relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 255651 x 255899
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000

total time: 7.02 hours.
software ソフトウェア
Msieve-1.36
execution environment 実行環境
Opteron-2.8GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10146-419

c136

name 名前Serge Batalov
date 日付July 27, 2008 19:27:46 UTC 2008 年 7 月 28 日 (月) 4 時 27 分 46 秒 (日本時間)
composite number 合成数
2510540386250160014163876197045960023007680626246372504394511375772109004396013163020765427017511979107943863234431530342594733238235839<136>
prime factors 素因数
41510532436848216902506677855337901<35>
composite cofactor 合成数の残り
60479599727359666560994131358298323344894266838551584001575199716934366999703013872164853960440227739<101>
factorization results 素因数分解の結果
Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=380832070
Step 1 took 6233ms
********** Factor found in step 1: 41510532436848216902506677855337901
Found probable prime factor of 35 digits: 41510532436848216902506677855337901
Composite cofactor 60479599727359666560994131358298323344894266838551584001575199716934366999703013872164853960440227739 has 101 digits
software ソフトウェア
GMP-ECM 6.2.1

c101

name 名前Serge Batalov
date 日付July 28, 2008 19:02:55 UTC 2008 年 7 月 29 日 (火) 4 時 2 分 55 秒 (日本時間)
composite number 合成数
60479599727359666560994131358298323344894266838551584001575199716934366999703013872164853960440227739<101>
prime factors 素因数
34758835800516322384363626653111027<35>
1739977716010306568378337706839472575468221244846012298568319529657<67>
factorization results 素因数分解の結果
Number: 25551_146
N=60479599727359666560994131358298323344894266838551584001575199716934366999703013872164853960440227739
  ( 101 digits)
Divisors found:
 r1=34758835800516322384363626653111027
 r2=1739977716010306568378337706839472575468221244846012298568319529657
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.306).
Factorization parameters were as follows:
name: 25551_146
n: 60479599727359666560994131358298323344894266838551584001575199716934366999703013872164853960440227739
skew: 9581.22
# norm 8.20e+13
c5: 23940
c4: -717855282
c3: -6785777479427
c2: 59164854376037827
c1: 270725537666604462153
c0: -1234452836689798433057766
# alpha -6.03
Y1: 129595215343
Y0: -19077200685863818687
# Murphy_E 3.21e-09
# M 16954413833068882237305959215587452485169461365335948587591155236573028568610291703407904271619835883
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1500001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 180427 x 180657
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000

total time: 5.00 hours.
software ソフトウェア
pol51+Msieve 1.36
execution environment 実行環境
Opteron-2.2GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10148-419

c141

name 名前Serge Batalov
date 日付July 27, 2008 19:32:50 UTC 2008 年 7 月 28 日 (月) 4 時 32 分 50 秒 (日本時間)
composite number 合成数
287388269547800543039627732329759501513201074577727014513456226630031059812105074554246143377185497043941127873231854761045819057773992449433<141>
prime factors 素因数
75011929299489064304755445730298699<35>
composite cofactor 合成数の残り
3831234208100258225905784789352281618753028879135330243405513044277690944977878017308340945272902471143467<106>
factorization results 素因数分解の結果
Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=1168396302
Step 1 took 6651ms
Step 2 took 5338ms
********** Factor found in step 2: 75011929299489064304755445730298699
Found probable prime factor of 35 digits: 75011929299489064304755445730298699
Composite cofactor 3831234208100258225905784789352281618753028879135330243405513044277690944977878017308340945272902471143467 has 106 digits
software ソフトウェア
GMP-ECM 6.2.1

c106

name 名前Sinkiti Sibata
date 日付July 30, 2008 10:22:50 UTC 2008 年 7 月 30 日 (水) 19 時 22 分 50 秒 (日本時間)
composite number 合成数
3831234208100258225905784789352281618753028879135330243405513044277690944977878017308340945272902471143467<106>
prime factors 素因数
242428544050253915914646918889394792594740748663<48>
15803560686756702280080903994808482373671375272389819798509<59>
factorization results 素因数分解の結果
Number: 25551_148
N=3831234208100258225905784789352281618753028879135330243405513044277690944977878017308340945272902471143467
  ( 106 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=242428544050253915914646918889394792594740748663 (pp48)
 r2=15803560686756702280080903994808482373671375272389819798509 (pp59)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 42.02 hours.
Scaled time: 32.06 units (timescale=0.763).
Factorization parameters were as follows:
name: 25551_148
n: 3831234208100258225905784789352281618753028879135330243405513044277690944977878017308340945272902471143467
m: 100000000000000000000000000000
c5: 23000
c0: -41
skew: 0.28
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, 5650001)
Primes: RFBsize:114155, AFBsize:113913, largePrimes:3272514 encountered
Relations: rels:3445255, finalFF:267676
Max relations in full relation-set: 28
Initial matrix: 228135 x 267676 with sparse part having weight 36440840.
Pruned matrix : 218281 x 219485 with weight 28929745.
Total sieving time: 41.16 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 0.59 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,149,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 42.02 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10151-419

c149

name 名前Serge Batalov
date 日付July 28, 2008 21:04:18 UTC 2008 年 7 月 29 日 (火) 6 時 4 分 18 秒 (日本時間)
composite number 合成数
64049011417432470064049011417432470064049011417432470064049011417432470064049011417432470064049011417432470064049011417432470064049011417432470064049<149>
prime factors 素因数
828705755470883248206443600902260497750813<42>
77288001192943139407705039988537472974515304633897945114412907051296370165896505908384922416246634351671973<107>
factorization results 素因数分解の結果
Number: 25551_151
N=64049011417432470064049011417432470064049011417432470064049011417432470064049011417432470064049011417432470064049011417432470064049011417432470064049
  ( 149 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=828705755470883248206443600902260497750813
 r2=77288001192943139407705039988537472974515304633897945114412907051296370165896505908384922416246634351671973
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.312).
Factorization parameters were as follows:
n: 64049011417432470064049011417432470064049011417432470064049011417432470064049011417432470064049011417432470064049011417432470064049011417432470064049
Y1: 1
Y0: -1000000000000000000000000000000
c5: 230
c0: -41
skew: 0.71
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1200000, 3100001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 580869 x 581117
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,52,52,2.5,2.5,100000

total time: 14.25 hours.
software ソフトウェア
Msieve 1.36
execution environment 実行環境
Opteron-2.2GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10152-419

c119

name 名前Sinkiti Sibata
date 日付July 29, 2008 12:19:16 UTC 2008 年 7 月 29 日 (火) 21 時 19 分 16 秒 (日本時間)
composite number 合成数
38494607894239986573312408816526294980131769999525671688250208724577379801467092036352155350111476847297481563421138029<119>
prime factors 素因数
19790119266604017679102945476566143<35>
1945142794525748056047069045389871786110518491818897667080431528816127400819396477203<85>
factorization results 素因数分解の結果
Number: 25551_152
N=38494607894239986573312408816526294980131769999525671688250208724577379801467092036352155350111476847297481563421138029
  ( 119 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=19790119266604017679102945476566143 (pp35)
 r2=1945142794525748056047069045389871786110518491818897667080431528816127400819396477203 (pp85)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 43.36 hours.
Scaled time: 33.39 units (timescale=0.770).
Factorization parameters were as follows:
name: 25551_152
n: 38494607894239986573312408816526294980131769999525671688250208724577379801467092036352155350111476847297481563421138029
m: 1000000000000000000000000000000
c5: 2300
c0: -41
skew: 0.45
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, 2700001)
Primes: RFBsize:176302, AFBsize:176434, largePrimes:5926245 encountered
Relations: rels:5993828, finalFF:528516
Max relations in full relation-set: 28
Initial matrix: 352803 x 528516 with sparse part having weight 59010423.
Pruned matrix : 295070 x 296898 with weight 34887846.
Total sieving time: 41.80 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.27 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 43.36 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10153-419

c83

name 名前Serge Batalov
date 日付July 27, 2008 18:45:45 UTC 2008 年 7 月 28 日 (月) 3 時 45 分 45 秒 (日本時間)
composite number 合成数
17390065048100375790461411356970700872395622645753315257013857083257878410307915957<83>
prime factors 素因数
50235185876494027386262953460826258885293<41>
346173000949072010309520257023196154046249<42>
factorization results 素因数分解の結果
Sun Jul 27 11:25:56 2008  Msieve v. 1.36
Sun Jul 27 11:25:56 2008  random seeds: 42d2437e c33efa51
Sun Jul 27 11:25:56 2008  factoring 17390065048100375790461411356970700872395622645753315257013857083257878410307915957 (83 digits)
Sun Jul 27 11:25:57 2008  no P-1/P+1/ECM available, skipping
Sun Jul 27 11:25:57 2008  commencing quadratic sieve (83-digit input)
Sun Jul 27 11:25:57 2008  using multiplier of 13
Sun Jul 27 11:25:57 2008  using 64kb Opteron sieve core
Sun Jul 27 11:25:57 2008  sieve interval: 6 blocks of size 65536
Sun Jul 27 11:25:57 2008  processing polynomials in batches of 17
Sun Jul 27 11:25:57 2008  using a sieve bound of 1356389 (52353 primes)
Sun Jul 27 11:25:57 2008  using large prime bound of 123431399 (26 bits)
Sun Jul 27 11:25:57 2008  using trial factoring cutoff of 27 bits
Sun Jul 27 11:25:57 2008  polynomial 'A' values have 11 factors
Sun Jul 27 11:42:17 2008  52737 relations (28001 full + 24736 combined from 268831 partial), need 52449
Sun Jul 27 11:42:17 2008  begin with 296832 relations
Sun Jul 27 11:42:17 2008  reduce to 74247 relations in 2 passes
Sun Jul 27 11:42:17 2008  attempting to read 74247 relations
Sun Jul 27 11:42:18 2008  recovered 74247 relations
Sun Jul 27 11:42:18 2008  recovered 64353 polynomials
Sun Jul 27 11:42:18 2008  attempting to build 52737 cycles
Sun Jul 27 11:42:18 2008  found 52737 cycles in 1 passes
Sun Jul 27 11:42:18 2008  distribution of cycle lengths:
Sun Jul 27 11:42:18 2008     length 1 : 28001
Sun Jul 27 11:42:18 2008     length 2 : 24736
Sun Jul 27 11:42:18 2008  largest cycle: 2 relations
Sun Jul 27 11:42:18 2008  matrix is 52353 x 52737 (8.1 MB) with weight 1696688 (32.17/col)
Sun Jul 27 11:42:18 2008  sparse part has weight 1696688 (32.17/col)
Sun Jul 27 11:42:19 2008  filtering completed in 3 passes
Sun Jul 27 11:42:19 2008  matrix is 36662 x 36726 (6.1 MB) with weight 1317403 (35.87/col)
Sun Jul 27 11:42:19 2008  sparse part has weight 1317403 (35.87/col)
Sun Jul 27 11:42:19 2008  saving the first 48 matrix rows for later
Sun Jul 27 11:42:19 2008  matrix is 36614 x 36726 (4.1 MB) with weight 989538 (26.94/col)
Sun Jul 27 11:42:19 2008  sparse part has weight 717356 (19.53/col)
Sun Jul 27 11:42:19 2008  matrix includes 64 packed rows
Sun Jul 27 11:42:19 2008  using block size 14690 for processor cache size 1024 kB
Sun Jul 27 11:42:19 2008  commencing Lanczos iteration
Sun Jul 27 11:42:19 2008  memory use: 4.1 MB
Sun Jul 27 11:42:26 2008  lanczos halted after 581 iterations (dim = 36608)
Sun Jul 27 11:42:26 2008  recovered 14 nontrivial dependencies
Sun Jul 27 11:42:26 2008  prp41 factor: 50235185876494027386262953460826258885293
Sun Jul 27 11:42:26 2008  prp42 factor: 346173000949072010309520257023196154046249
Sun Jul 27 11:42:26 2008  elapsed time 00:16:30
software ソフトウェア
Msieve v. 1.36/QS
execution environment 実行環境
Opteron-2.8GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10154-419

c130

name 名前Sinkiti Sibata
date 日付August 1, 2008 18:11:23 UTC 2008 年 8 月 2 日 (土) 3 時 11 分 23 秒 (日本時間)
composite number 合成数
7451421490539368400745666140791923586210703006310976378376855205625717878891916365540177939686299220679430926588394932343158718809<130>
prime factors 素因数
340181494077011694290357817506041<33>
69952169448817622365476237996541279017803003027<47>
313131860083472179775867830221927950460921636582587<51>
factorization results 素因数分解の結果
Number: 25551_154
N=7451421490539368400745666140791923586210703006310976378376855205625717878891916365540177939686299220679430926588394932343158718809
  ( 130 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=340181494077011694290357817506041 (pp33)
 r2=69952169448817622365476237996541279017803003027 (pp47)
 r3=313131860083472179775867830221927950460921636582587 (pp51)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 57.77 hours.
Scaled time: 27.27 units (timescale=0.472).
Factorization parameters were as follows:
name: 25551_154
n: 7451421490539368400745666140791923586210703006310976378376855205625717878891916365540177939686299220679430926588394932343158718809
m: 10000000000000000000000000000000
c5: 23
c0: -410
skew: 1.78
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, 3000001)
Primes: RFBsize:216816, AFBsize:216777, largePrimes:5650674 encountered
Relations: rels:5572838, finalFF:509244
Max relations in full relation-set: 28
Initial matrix: 433658 x 509244 with sparse part having weight 42472284.
Pruned matrix : 400314 x 402546 with weight 29842667.
Total sieving time: 51.37 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 5.99 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 57.77 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10156-419

c138

name 名前Sinkiti Sibata
date 日付July 31, 2008 19:19:19 UTC 2008 年 8 月 1 日 (金) 4 時 19 分 19 秒 (日本時間)
composite number 合成数
245154806729863389877554529829728473478831042552701224896737949891351647068415901547655165076105391748463107205434374654549956804164212359<138>
prime factors 素因数
568072473549876077847951681943235841700911865100362592901083<60>
431555511214783572160697906549520112228842379475734051031125209152188991775173<78>
factorization results 素因数分解の結果
(ここに素因数分解ソフトウェアの出力結果を貼り付けてください。例:GGNFSのサマリファイル、B1とsigmaを含むGMP-ECMの出力Number: 25551_156
N=245154806729863389877554529829728473478831042552701224896737949891351647068415901547655165076105391748463107205434374654549956804164212359
  ( 138 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=568072473549876077847951681943235841700911865100362592901083 (pp60)
 r2=431555511214783572160697906549520112228842379475734051031125209152188991775173 (pp78)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 60.42 hours.
Scaled time: 46.29 units (timescale=0.766).
Factorization parameters were as follows:
name: 25551_156
n: 245154806729863389877554529829728473478831042552701224896737949891351647068415901547655165076105391748463107205434374654549956804164212359
m: 10000000000000000000000000000000
c5: 230
c0: -41
skew: 0.71
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, 3600001)
Primes: RFBsize:216816, AFBsize:216312, largePrimes:5870783 encountered
Relations: rels:5897251, finalFF:541008
Max relations in full relation-set: 28
Initial matrix: 433195 x 541008 with sparse part having weight 56507710.
Pruned matrix : 387613 x 389842 with weight 39426318.
Total sieving time: 57.85 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.25 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 60.42 hours.
 --------- CPU info (if available) ----------
など)
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10157-419

c141

name 名前Serge Batalov
date 日付July 27, 2008 19:35:15 UTC 2008 年 7 月 28 日 (月) 4 時 35 分 15 秒 (日本時間)
composite number 合成数
430623535232960644096182938738069616266522760831313127349355109993217414648308890874937155011136411293177503745986092514050481876929977818377<141>
prime factors 素因数
973336363550106887302722574739<30>
442420062949587264507358090096128210983570197191636875054556465288607675852564435098117942495764116067637731443<111>
factorization results 素因数分解の結果
Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=571795841
Step 1 took 6189ms
Step 2 took 5311ms
********** Factor found in step 2: 973336363550106887302722574739
Found probable prime factor of 30 digits: 973336363550106887302722574739
Probable prime cofactor 442420062949587264507358090096128210983570197191636875054556465288607675852564435098117942495764116067637731443 has 111 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10158-419

c151

name 名前Robert Backstrom
date 日付August 1, 2008 00:28:26 UTC 2008 年 8 月 1 日 (金) 9 時 28 分 26 秒 (日本時間)
composite number 合成数
1252832866867978497176307273044114654494495504219879088130434874427845460248632014225771221021408610116428541785845457120907526592757077201253670194991<151>
prime factors 素因数
171689635527179533850177211158120096687991880816145824295203094123<66>
7297079191886613832743568747111087572188527660082593836965018158316475096972563946317<85>
factorization results 素因数分解の結果
Number: n
N=1252832866867978497176307273044114654494495504219879088130434874427845460248632014225771221021408610116428541785845457120907526592757077201253670194991
  ( 151 digits)
SNFS difficulty: 159 digits.
Divisors found:

Fri Aug  1 10:14:11 2008  prp66 factor: 171689635527179533850177211158120096687991880816145824295203094123
Fri Aug  1 10:14:11 2008  prp85 factor: 7297079191886613832743568747111087572188527660082593836965018158316475096972563946317
Fri Aug  1 10:14:11 2008  elapsed time 00:58:14 (Msieve 1.36)

Version: GGNFS-0.77.1-20050930-k8
Total time: 35.26 hours.
Scaled time: 29.51 units (timescale=0.837).
Factorization parameters were as follows:
name: KA_2_5_157_1
n: 1252832866867978497176307273044114654494495504219879088130434874427845460248632014225771221021408610116428541785845457120907526592757077201253670194991
type: snfs
deg: 5
c5: 23000
c0: -41
skew: 0.28
m: 10000000000000000000000000000000
rlim: 5500000
alim: 5500000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2100001)
Primes: RFBsize:380800, AFBsize:381098, largePrimes:5429667 encountered
Relations: rels:5543974, finalFF:780100
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 35.09 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,48,48,2.5,2.5,100000
total time: 35.26 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6045.69 BogoMIPS (lpj=3022848)
Total of 2 processors activated (12009.47 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10160-419

c110

name 名前Sinkiti Sibata
date 日付July 30, 2008 03:04:21 UTC 2008 年 7 月 30 日 (水) 12 時 4 分 21 秒 (日本時間)
composite number 合成数
27729696044290224460609024058949846655012187821821005718326741022823024412724637968075461477077242655504819123<110>
prime factors 素因数
141201378282839605551482507237147623978827958693229<51>
196384032376405294052137230651200422806370915812525870825887<60>
factorization results 素因数分解の結果
Number: 25551_160
N=27729696044290224460609024058949846655012187821821005718326741022823024412724637968075461477077242655504819123
  ( 110 digits)
Divisors found:
 r1=141201378282839605551482507237147623978827958693229 (pp51)
 r2=196384032376405294052137230651200422806370915812525870825887 (pp60)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 34.78 hours.
Scaled time: 16.45 units (timescale=0.473).
Factorization parameters were as follows:
name: 25551_160
n: 27729696044290224460609024058949846655012187821821005718326741022823024412724637968075461477077242655504819123
skew: 19703.02
# norm 2.58e+15
c5: 97200
c4: 2699482653
c3: -193815028071876
c2: -1584280404140977288
c1: 22126732270643781438316
c0: -44916850879699875155644045
# alpha -6.32
Y1: 17675023289
Y0: -778136368901680828542
# Murphy_E 1.04e-09
# M 5474228949482118542256893329492702222648847949467955749282916956767404137793286945529386778071697693401222665
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2300001)
Primes: RFBsize:230209, AFBsize:230705, largePrimes:7471164 encountered
Relations: rels:7388085, finalFF:642533
Max relations in full relation-set: 28
Initial matrix: 460991 x 642533 with sparse part having weight 52550874.
Pruned matrix : 312266 x 314634 with weight 26599352.
Total sieving time: 30.88 hours.
Total relation processing time: 0.45 hours.
Matrix solve time: 3.16 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 34.78 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10161-419

c145

name 名前Serge Batalov
date 日付August 5, 2008 17:04:21 UTC 2008 年 8 月 6 日 (水) 2 時 4 分 21 秒 (日本時間)
composite number 合成数
2550838703386457058983851982174471636580809444581382140772962847792680968368041877385417491833370434666366908243887386972936845573239198502648983<145>
prime factors 素因数
3265797762225884596670732499419492287<37>
781076750339822130193637764085753788800316293642129828413036710971415513493721659905790281056519495473703209<108>
factorization results 素因数分解の結果
Number: 25551_161
N=2550838703386457058983851982174471636580809444581382140772962847792680968368041877385417491833370434666366908243887386972936845573239198502648983
  ( 145 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=3265797762225884596670732499419492287
 r2=781076750339822130193637764085753788800316293642129828413036710971415513493721659905790281056519495473703209
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.735).
Factorization parameters were as follows:
n: 2550838703386457058983851982174471636580809444581382140772962847792680968368041877385417491833370434666366908243887386972936845573239198502648983
Y1: 1
Y0: -100000000000000000000000000000000
c5: 230
c0: -41
skew: 0.71
type: snfs
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2250000, 5850001)
Primes: rational ideals filtering, algebraic ideals filtering,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 847882 x 848130
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,52,52,2.5,2.5,100000

total time: 31.00 hours.
software ソフトウェア
Msieve-1.36
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10164-419

c153

name 名前Robert Backstrom
date 日付August 4, 2008 12:27:41 UTC 2008 年 8 月 4 日 (月) 21 時 27 分 41 秒 (日本時間)
composite number 合成数
146218049130642441234495363713913754675210966706539923532522558284754745799883843367386080454093351306607004960263989647786921657401273701595788872021931<153>
prime factors 素因数
127092897952617830861128387381793123491<39>
5984338350534202483602163442377911766177<40>
192248766671982198740268835298401979782919136451461142361013167032834159033<75>
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 146218049130642441234495363713913754675210966706539923532522558284754745799883843367386080454093351306607004960263989647786921657401273701595788872021931 (153 digits)
Using B1=4366000, B2=8561918830, polynomial Dickson(6), sigma=1627898278
Step 1 took 52484ms
Step 2 took 17660ms
********** Factor found in step 2: 5984338350534202483602163442377911766177
Found probable prime factor of 40 digits: 5984338350534202483602163442377911766177
Composite cofactor 24433452884158869463121391219856044588647399397141519895148690044715795722505127594463645181432631902409302144203 has 113 digits


Number: n
N=24433452884158869463121391219856044588647399397141519895148690044715795722505127594463645181432631902409302144203
  ( 113 digits)
Divisors found:

Mon Aug  4 22:19:36 2008  prp39 factor: 127092897952617830861128387381793123491
Mon Aug  4 22:19:36 2008  prp75 factor: 192248766671982198740268835298401979782919136451461142361013167032834159033
Mon Aug  4 22:19:36 2008  elapsed time 00:39:09 (Msieve 1.36)

Version: GGNFS-0.77.1-20050930-k8
Total time: 21.39 hours.
Scaled time: 17.93 units (timescale=0.838).
Factorization parameters were as follows:
name: KA_2_5_163_1
n: 24433452884158869463121391219856044588647399397141519895148690044715795722505127594463645181432631902409302144203
skew: 22181.66
# norm 3.00e+15
c5: 92520
c4: -6744153222
c3: -45832076939516
c2: 3355354381773925699
c1: 26376496291199123709754
c0: 55897100324407256183969376
# alpha -5.88
Y1: 32923335533
Y0: -3050351678222518898863
# Murphy_E 7.42e-10
# M 24431814637208274680734783426277441947002447691196750391363360992421760360967572735589642666701638520266722683606
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 1500001)
Primes: RFBsize:250150, AFBsize:249815, largePrimes:6780508 encountered
Relations: rels:6430342, finalFF:544879
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 21.19 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 21.39 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6045.69 BogoMIPS (lpj=3022848)
Total of 2 processors activated (12009.47 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10165-419

c133

name 名前Sinkiti Sibata
date 日付August 12, 2008 13:10:29 UTC 2008 年 8 月 12 日 (火) 22 時 10 分 29 秒 (日本時間)
composite number 合成数
7539907293281709664021555033543314880138720337710856966983086890475334408273968539560151442899749274783057664654530833081819907375231<133>
prime factors 素因数
620307761470091015755690541703303810222293530677225354864980633273<66>
12155107128456035886009851568901921324819251306725762561321071641847<68>
factorization results 素因数分解の結果
Number: 25551_165
N=7539907293281709664021555033543314880138720337710856966983086890475334408273968539560151442899749274783057664654530833081819907375231
  ( 133 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=620307761470091015755690541703303810222293530677225354864980633273 (pp66)
 r2=12155107128456035886009851568901921324819251306725762561321071641847 (pp68)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 101.57 hours.
Scaled time: 102.39 units (timescale=1.008).
Factorization parameters were as follows:
name: 25551_165
n: 7539907293281709664021555033543314880138720337710856966983086890475334408273968539560151442899749274783057664654530833081819907375231
m: 1000000000000000000000000000000000
c5: 23
c0: -41
skew: 1.12
type: snfs
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2500000, 6200001)
Primes: RFBsize:348513, AFBsize:348762, largePrimes:6205595 encountered
Relations: rels:6582900, finalFF:985608
Max relations in full relation-set: 28
Initial matrix: 697340 x 985608 with sparse part having weight 70810848.
Pruned matrix : 477437 x 480987 with weight 57774851.
Total sieving time: 98.88 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.49 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,48,48,2.5,2.5,100000
total time: 101.57 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10166-419

c166

name 名前Robert Backstrom
date 日付August 3, 2008 05:44:27 UTC 2008 年 8 月 3 日 (日) 14 時 44 分 27 秒 (日本時間)
composite number 合成数
2839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839<166>
prime factors 素因数
643496646045034314863036088356290602835699348302317420935391877062800651<72>
4412620003991111484688047460906035814232134281081696744784440167395589300355555901131709979989<94>
factorization results 素因数分解の結果
Number: n
N=2839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839
  ( 166 digits)
SNFS difficulty: 167 digits.
Divisors found:

Sun Aug  3 15:17:18 2008  prp72 factor: 643496646045034314863036088356290602835699348302317420935391877062800651
Sun Aug  3 15:17:18 2008  prp94 factor: 4412620003991111484688047460906035814232134281081696744784440167395589300355555901131709979989
Sun Aug  3 15:17:18 2008  elapsed time 01:27:42 (Msieve 1.36)

Version: GGNFS-0.77.1-20050930-k8
Total time: 88.42 hours.
Scaled time: 74.18 units (timescale=0.839).
Factorization parameters were as follows:
name: KA_2_5_165_1
n: 2839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839
type: snfs
deg: 5
c5: 230
c0: -41
skew: 0.71
m: 1000000000000000000000000000000000
rlim: 5800000
alim: 5800000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 4600001)
Primes: RFBsize:399993, AFBsize:399420, largePrimes:5834136 encountered
Relations: rels:5996928, finalFF:828084
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 88.21 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,48,48,2.5,2.5,100000
total time: 88.42 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6045.69 BogoMIPS (lpj=3022848)
Total of 2 processors activated (12009.47 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10167-419

c111

name 名前Serge Batalov
date 日付July 28, 2008 19:01:01 UTC 2008 年 7 月 29 日 (火) 4 時 1 分 1 秒 (日本時間)
composite number 合成数
191905128134502839826363774871925281664941680452003820832204690551782529098643580568564988256211135109759140761<111>
prime factors 素因数
25684063928938037339841953821170973102004701<44>
7471758700860606702764453521083040039688701616397278375982183054061<67>
factorization results 素因数分解の結果
Number: 25551_167
N=191905128134502839826363774871925281664941680452003820832204690551782529098643580568564988256211135109759140761
  ( 111 digits)
Divisors found:
 r1=25684063928938037339841953821170973102004701
 r2=7471758700860606702764453521083040039688701616397278375982183054061
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
name: 25551_167
n: 191905128134502839826363774871925281664941680452003820832204690551782529098643580568564988256211135109759140761
skew: 34967.52
# norm 4.00e+15
c5: 50760
c4: 4857904818
c3: -154098803765337
c2: -4794514057547441483
c1: 129763218046029315253297
c0: -162403929682185181213925415
# alpha -6.94
Y1: 464271068387
Y0: -1304698116443718001226
# Murphy_E 9.82e-10
# M 49869502946388985127326104835168775949738092057117596251976267998101212859840610032696852809604089189634082330
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 3100001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 404231 x 404479
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000

total time: 14.00 hours.
software ソフトウェア
pol51+Msieve 1.36
execution environment 実行環境
Opteron-2.2GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10169-419

c167

name 名前Robert Backstrom
date 日付August 1, 2008 17:34:44 UTC 2008 年 8 月 2 日 (土) 2 時 34 分 44 秒 (日本時間)
composite number 合成数
64049011417432470064049011417432470064049011417432470064049011417432470064049011417432470064049011417432470064049011417432470064049011417432470064049011417432470064049<167>
prime factors 素因数
99115019415880121677092502404222247027<38>
646208937806761842825739606924013230081780096425955573149216008366271383509656353669041781599017902484058310271913115315734810187<129>
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 64049011417432470064049011417432470064049011417432470064049011417432470064049011417432470064049011417432470064049011417432470064049011417432470064049011417432470064049 (167 digits)
Using B1=3434000, B2=5707365310, polynomial Dickson(6), sigma=909235864
Step 1 took 48948ms
Step 2 took 15608ms
********** Factor found in step 2: 99115019415880121677092502404222247027
Found probable prime factor of 38 digits: 99115019415880121677092502404222247027
Probable prime cofactor 646208937806761842825739606924013230081780096425955573149216008366271383509656353669041781599017902484058310271913115315734810187 has 129 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10170-419

c134

name 名前Serge Batalov
date 日付July 27, 2008 19:24:33 UTC 2008 年 7 月 28 日 (月) 4 時 24 分 33 秒 (日本時間)
composite number 合成数
40900317882297894594991298115653025231033686055062824490199252224341654226949666265683292042595128129863491627483171234714320024575859<134>
prime factors 素因数
8914696587075694200020688570908983<34>
composite cofactor 合成数の残り
4587965219320437679186724585504871860492353253197962059126245596532976638080543930484448622172004773<100>
factorization results 素因数分解の結果
Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=843189100
Step 1 took 5342ms
Step 2 took 4879ms
********** Factor found in step 2: 8914696587075694200020688570908983
Found probable prime factor of 34 digits: 8914696587075694200020688570908983
Composite cofactor 4587965219320437679186724585504871860492353253197962059126245596532976638080543930484448622172004773 has 100 digits
software ソフトウェア
GMP-ECM 6.2.1

c100

name 名前Serge Batalov
date 日付July 28, 2008 06:29:23 UTC 2008 年 7 月 28 日 (月) 15 時 29 分 23 秒 (日本時間)
composite number 合成数
4587965219320437679186724585504871860492353253197962059126245596532976638080543930484448622172004773<100>
prime factors 素因数
285490091589476305221345080451232055137<39>
16070488449447674612650589351851462929548050466307798710623429<62>
factorization results 素因数分解の結果
Number: 25551_170
N=4587965219320437679186724585504871860492353253197962059126245596532976638080543930484448622172004773
  ( 100 digits)
Divisors found:
 r1=285490091589476305221345080451232055137
 r2=16070488449447674612650589351851462929548050466307798710623429
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
name: 25551_170
n: 4587965219320437679186724585504871860492353253197962059126245596532976638080543930484448622172004773
skew: 4343.54
# norm 1.85e+14
c5: 102600
c4: -2099554410
c3: 313677236699
c2: -32073952736029022
c1: -22993856991668603067
c0: 77448256609396649268195
# alpha -6.35
Y1: 13929288857
Y0: -8513290624657879186
# Murphy_E 3.34e-09
# M 881146291402212354249118032869459916813881084351627622763479243021417493888375943481775157365108946
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1400001)
Primes: rational ideals filtering, algebraic ideals filtering,
Relations: 4089960 relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 188015 x 188257
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000

total time: 2.80 hours.
software ソフトウェア
Msieve-1.36/gnfs (with pol51)
execution environment 実行環境
Opteron-2.2GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10171-419

c163

name 名前Robert Backstrom
date 日付June 23, 2009 11:58:35 UTC 2009 年 6 月 23 日 (火) 20 時 58 分 35 秒 (日本時間)
composite number 合成数
4547220703050154276354321641199772264827436255237836519878015063280278890820265525040013481109631388159816682885901060816313577045094663355547413934821467417155867<163>
prime factors 素因数
9819478707452999260663842216145669618164917<43>
463081680659769326936886310127931535214424803461949022560762005197836495742479612235092546488980256930797094956201310351<120>
factorization results 素因数分解の結果
Number: n
N=4547220703050154276354321641199772264827436255237836519878015063280278890820265525040013481109631388159816682885901060816313577045094663355547413934821467417155867
  ( 163 digits)
SNFS difficulty: 172 digits.
Divisors found:

Tue Jun 23 13:07:13 2009  prp43 factor: 9819478707452999260663842216145669618164917
Tue Jun 23 13:07:13 2009  prp120 factor: 463081680659769326936886310127931535214424803461949022560762005197836495742479612235092546488980256930797094956201310351
Tue Jun 23 13:07:13 2009  elapsed time 01:27:20 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 83.31 hours.
Scaled time: 113.38 units (timescale=1.361).
Factorization parameters were as follows:
name: KA_2_5_170_1
n: 4547220703050154276354321641199772264827436255237836519878015063280278890820265525040013481109631388159816682885901060816313577045094663355547413934821467417155867
m: 10000000000000000000000000000000000
deg: 5
c5: 230
c0: -41
skew: 0.71
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2600000, 7388737)
Primes: RFBsize:361407, AFBsize:360913, largePrimes:18867095 encountered
Relations: rels:19622703, finalFF:765979
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2982267 hash collisions in 22477415 relations
Msieve: matrix is 899270 x 899518 (235.4 MB)

Total sieving time: 81.95 hours.
Total relation processing time: 1.36 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5200000,5200000,28,28,56,56,2.4,2.4,100000
total time: 83.31 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 KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10173-419

c155

name 名前Serge Batalov
date 日付October 5, 2008 23:28:13 UTC 2008 年 10 月 6 日 (月) 8 時 28 分 13 秒 (日本時間)
composite number 合成数
79620879277102236161350777737232714052888759619073923411143140991524898238688532735937210657700343773756579155877217308484407849335553097765189963046610099<155>
prime factors 素因数
7006809008629239360483702710486422780612342481<46>
25181631057758153981933321553668940225037068307<47>
451255837422041310778962833166372971071264336217045028875777297<63>
factorization results 素因数分解の結果
SNFS difficulty: 174 digits.
Divisors found:
 r1=7006809008629239360483702710486422780612342481
 r2=25181631057758153981933321553668940225037068307
 r3=451255837422041310778962833166372971071264336217045028875777297
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.951).
Factorization parameters were as follows:
n: 79620879277102236161350777737232714052888759619073923411143140991524898238688532735937210657700343773756579155877217308484407849335553097765189963046610099
Y1: 1
Y0: -10000000000000000000000000000000000
c5: 23000
c0: -41
skew: 0.28
type: snfs
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 8800001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1366742 x 1366990
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,9000000,9000000,27,27,54,54,2.6,2.6,100000
total time: 30.00 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10174-419

c127

name 名前juno1369
date 日付April 27, 2010 11:31:21 UTC 2010 年 4 月 27 日 (火) 20 時 31 分 21 秒 (日本時間)
composite number 合成数
1054778478395721753802747867456832671409350785267493896683031222063775152586749849402830568475528736549964760371522669199530619<127>
prime factors 素因数
217775438960959376674111543630369862266373<42>
4843422579829178947723125725122614756988629020007020971287741483153442359848736165503<85>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=633460790
Step 1 took 66082ms
Step 2 took 43212ms
********** Factor found in step 2: 217775438960959376674111543630369862266373
Found probable prime factor of 42 digits: 21777543896095937667411154363036986226
6373
Probable prime cofactor 48434225798291789477231257251226147569886290200070209712
87741483153442359848736165503 has 85 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6825juno1369April 26, 2010 22:58:00 UTC 2010 年 4 月 27 日 (火) 7 時 58 分 0 秒 (日本時間)

23×10175-419

c145

name 名前Wataru Sakai
date 日付April 17, 2011 02:38:21 UTC 2011 年 4 月 17 日 (日) 11 時 38 分 21 秒 (日本時間)
composite number 合成数
7060172225695451280730352012617455011640180161285735437549538853628531089421336822244416610078751690052313169120718971305915617548099454811740609<145>
prime factors 素因数
174238196836575116171951716194039677780877331481<48>
40520232382325820041041111693248572051645991760150802711617140413542220146416937273773247997734889<98>
factorization results 素因数分解の結果
Number: 25551_175
N=7060172225695451280730352012617455011640180161285735437549538853628531089421336822244416610078751690052313169120718971305915617548099454811740609
  ( 145 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=174238196836575116171951716194039677780877331481
 r2=40520232382325820041041111693248572051645991760150802711617140413542220146416937273773247997734889
Version: 
Total time: 137.16 hours.
Scaled time: 244.14 units (timescale=1.780).
Factorization parameters were as follows:
n: 7060172225695451280730352012617455011640180161285735437549538853628531089421336822244416610078751690052313169120718971305915617548099454811740609
m: 100000000000000000000000000000000000
deg: 5
c5: 23
c0: -41
skew: 1.12
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3050000, 6650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 968272 x 968520
Total sieving time: 137.16 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time: 137.16 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJuly 16, 2010 10:12:34 UTC 2010 年 7 月 16 日 (金) 19 時 12 分 34 秒 (日本時間)
403e62144110Ignacio SantosJuly 16, 2010 10:12:34 UTC 2010 年 7 月 16 日 (金) 19 時 12 分 34 秒 (日本時間)
2034Wataru SakaiJuly 19, 2010 04:17:07 UTC 2010 年 7 月 19 日 (月) 13 時 17 分 7 秒 (日本時間)
4511e6232 / 399132Ignacio SantosJuly 16, 2010 10:12:34 UTC 2010 年 7 月 16 日 (金) 19 時 12 分 34 秒 (日本時間)
200Ignacio SantosJanuary 7, 2011 00:39:07 UTC 2011 年 1 月 7 日 (金) 9 時 39 分 7 秒 (日本時間)

23×10176-419

c141

name 名前Serge Batalov
date 日付July 28, 2008 00:15:11 UTC 2008 年 7 月 28 日 (月) 9 時 15 分 11 秒 (日本時間)
composite number 合成数
937023386672147197314924014566997489549100791543520902960082287387585006413528947176901239702199977770073562956506959336766422119864742706519<141>
prime factors 素因数
64712766329852691432002761083917<32>
composite cofactor 合成数の残り
14479730041147820385756519417126351350432451092133329416395602786113828306192530413105615533147360150563832307<110>
factorization results 素因数分解の結果
Using B1=2000000, B2=8559543730, polynomial Dickson(6), sigma=410517240
Step 1 took 12325ms
Step 2 took 9650ms
********** Factor found in step 2: 64712766329852691432002761083917
Found probable prime factor of 32 digits: 64712766329852691432002761083917
Composite cofactor 14479730041147820385756519417126351350432451092133329416395602786113828306192530413105615533147360150563832307 has 110 digits
software ソフトウェア
GMP-ECM 6.2.1

c110

name 名前Serge Batalov
date 日付July 29, 2008 01:10:20 UTC 2008 年 7 月 29 日 (火) 10 時 10 分 20 秒 (日本時間)
composite number 合成数
14479730041147820385756519417126351350432451092133329416395602786113828306192530413105615533147360150563832307<110>
prime factors 素因数
771073511127576234777110033082908100809<39>
18778663554365193587028132136971846756713170062564978859065837339119323<71>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=359160519
Step 1 took 12661ms
Step 2 took 12963ms
********** Factor found in step 2: 771073511127576234777110033082908100809
Found probable prime factor of 39 digits: 771073511127576234777110033082908100809
Probable prime cofactor 18778663554365193587028132136971846756713170062564978859065837339119323 has 71 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10179-419

c116

name 名前Sinkiti Sibata
date 日付August 2, 2008 03:36:46 UTC 2008 年 8 月 2 日 (土) 12 時 36 分 46 秒 (日本時間)
composite number 合成数
15536649885301064370678981856573830216220820743461352404945988973856041528897128938405796842530844335414223143329619<116>
prime factors 素因数
4498980788192811699189568905957540794386101261910526893<55>
3453371022627095076155775850110344684731257028691845350307583<61>
factorization results 素因数分解の結果
Number: 25551_179
N=15536649885301064370678981856573830216220820743461352404945988973856041528897128938405796842530844335414223143329619
  ( 116 digits)
Divisors found:
 r1=4498980788192811699189568905957540794386101261910526893 (pp55)
 r2=3453371022627095076155775850110344684731257028691845350307583 (pp61)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 47.90 hours.
Scaled time: 36.41 units (timescale=0.760).
Factorization parameters were as follows:
name: 25551_179
n: 15536649885301064370678981856573830216220820743461352404945988973856041528897128938405796842530844335414223143329619
skew: 29412.77
# norm 3.98e+15
c5: 13440
c4: 7304861420
c3: -37829521335628
c2: -4586753777585773893
c1: 32509909704735860085894
c0: 381949982671101480999382968
# alpha -5.47
Y1: 523520788439
Y0: -16315113794246774390069
# Murphy_E 4.96e-10
# M 2833285247338597467203869810197414061555862670509082923762924242923193033919568095952457100773799659651415061182693
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, 3630001)
Primes: RFBsize:315948, AFBsize:316793, largePrimes:7713552 encountered
Relations: rels:7941927, finalFF:902430
Max relations in full relation-set: 28
Initial matrix: 632821 x 902430 with sparse part having weight 72590726.
Pruned matrix : 404955 x 408183 with weight 39044189.
Total sieving time: 45.03 hours.
Total relation processing time: 0.38 hours.
Matrix solve time: 2.20 hours.
Time per square root: 0.30 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: 47.90 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10180-419

c93

name 名前Serge Batalov
date 日付July 27, 2008 23:42:08 UTC 2008 年 7 月 28 日 (月) 8 時 42 分 8 秒 (日本時間)
composite number 合成数
601507783200024177533706526882724961664302389935805095370359219106224905189670063398031704511<93>
prime factors 素因数
818721351585225269696284670558586233<36>
734691701926879427540330661208791006085582518574130629367<57>
factorization results 素因数分解の結果
Number: 25551_180
N=601507783200024177533706526882724961664302389935805095370359219106224905189670063398031704511
  ( 93 digits)
Divisors found:
 r1=818721351585225269696284670558586233
 r2=734691701926879427540330661208791006085582518574130629367
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.952).
Factorization parameters were as follows:
name: 25551_180
n: 601507783200024177533706526882724961664302389935805095370359219106224905189670063398031704511
skew: 9274.72
# norm 5.56e+12
c5: 960
c4: 51491975
c3: -375693115044
c2: -3597295424721214
c1: 12421001845831235314
c0: 64030193958855804894760
# alpha -4.84
Y1: 14132136997
Y0: -910587610201992171
# Murphy_E 7.07e-09
# M 172801455112640510589520181640160855778357793905387688415191739720540490264493458130883360178
type: gnfs
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 900001)
Primes: rational ideals filtering, algebraic ideals filtering,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 109001 x 109222
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,92,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000

total time: 1.60 hours.
software ソフトウェア
Msieve-1.36/gnfs + pol51
execution environment 実行環境
Opteron-2.8GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10181-419

c152

name 名前Dmitry Domanov
date 日付May 27, 2013 06:22:42 UTC 2013 年 5 月 27 日 (月) 15 時 22 分 42 秒 (日本時間)
composite number 合成数
50461600438559599417707553883471862313648997217630794709127035866619207662805999571998210864567348610811369725692961038914822108920425908617612400892917<152>
prime factors 素因数
454294838445380861908829430532335894799790647942571080873<57>
111076763740573549384876554306983446287483638099792040452038247251589180414171137440507322501229<96>
factorization results 素因数分解の結果
N=50461600438559599417707553883471862313648997217630794709127035866619207662805999571998210864567348610811369725692961038914822108920425908617612400892917
  ( 152 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=454294838445380861908829430532335894799790647942571080873 (pp57)
 r2=111076763740573549384876554306983446287483638099792040452038247251589180414171137440507322501229 (pp96)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 160.24 hours.
Scaled time: 308.31 units (timescale=1.924).
Factorization parameters were as follows:
n: 50461600438559599417707553883471862313648997217630794709127035866619207662805999571998210864567348610811369725692961038914822108920425908617612400892917
m: 1000000000000000000000000000000000000
deg: 5
c5: 230
c0: -41
skew: 0.71
# Murphy_E = 6.555e-11
type: snfs
lss: 1
rlim: 7700000
alim: 7700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7700000/7700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3850000, 12250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1613978 x 1614210
Total sieving time: 157.43 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.50 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7700000,7700000,28,28,53,53,2.5,2.5,100000
total time: 160.24 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 KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 18, 2010 09:35:48 UTC 2010 年 10 月 18 日 (月) 18 時 35 分 48 秒 (日本時間)
403e61710110Ignacio SantosOctober 18, 2010 09:35:48 UTC 2010 年 10 月 18 日 (月) 18 時 35 分 48 秒 (日本時間)
600Lionel DebrouxMarch 7, 2013 07:14:43 UTC 2013 年 3 月 7 日 (木) 16 時 14 分 43 秒 (日本時間)
1000Dmitry DomanovApril 21, 2013 07:48:24 UTC 2013 年 4 月 21 日 (日) 16 時 48 分 24 秒 (日本時間)
4511e6632 / 408732Ignacio SantosOctober 18, 2010 09:35:48 UTC 2010 年 10 月 18 日 (月) 18 時 35 分 48 秒 (日本時間)
600Dmitry DomanovApril 26, 2013 15:53:30 UTC 2013 年 4 月 27 日 (土) 0 時 53 分 30 秒 (日本時間)

23×10182-419

c153

name 名前Dmitry Domanov
date 日付May 27, 2013 06:23:09 UTC 2013 年 5 月 27 日 (月) 15 時 23 分 9 秒 (日本時間)
composite number 合成数
330223134550863681762331122154310559077503959194467159590520185011892568580368354083100303539501088189957445424473947940691692640971268378066072409405879<153>
prime factors 素因数
443909231364586098236860883150221945772101461059<48>
743897876454947740203526753803629274267949533886154495502577052289072804799376199744276804166813373273981<105>
factorization results 素因数分解の結果
N=330223134550863681762331122154310559077503959194467159590520185011892568580368354083100303539501088189957445424473947940691692640971268378066072409405879
  ( 153 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=443909231364586098236860883150221945772101461059 (pp48)
 r2=743897876454947740203526753803629274267949533886154495502577052289072804799376199744276804166813373273981 (pp105)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 184.36 hours.
Scaled time: 354.33 units (timescale=1.922).
Factorization parameters were as follows:
n: 330223134550863681762331122154310559077503959194467159590520185011892568580368354083100303539501088189957445424473947940691692640971268378066072409405879
m: 1000000000000000000000000000000000000
deg: 5
c5: 2300
c0: -41
skew: 0.45
# Murphy_E = 5.544e-11
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4000000, 13600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1691787 x 1692015
Total sieving time: 181.16 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.87 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,53,53,2.5,2.5,100000
total time: 184.36 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 18, 2010 10:41:06 UTC 2010 年 10 月 18 日 (月) 19 時 41 分 6 秒 (日本時間)
403e61110110Ignacio SantosOctober 18, 2010 10:41:06 UTC 2010 年 10 月 18 日 (月) 19 時 41 分 6 秒 (日本時間)
1000Dmitry DomanovApril 21, 2013 07:48:34 UTC 2013 年 4 月 21 日 (日) 16 時 48 分 34 秒 (日本時間)
4511e6632 / 422032Ignacio SantosOctober 18, 2010 10:41:06 UTC 2010 年 10 月 18 日 (月) 19 時 41 分 6 秒 (日本時間)
600Dmitry DomanovApril 26, 2013 15:53:42 UTC 2013 年 4 月 27 日 (土) 0 時 53 分 42 秒 (日本時間)

23×10184-419

c179

name 名前Erik Branger
date 日付December 10, 2009 16:24:57 UTC 2009 年 12 月 11 日 (金) 1 時 24 分 57 秒 (日本時間)
composite number 合成数
27590254018670444852060458163758234041407213315968267369234491608184324969047933507967645508900436009983833310721320800640381791535957838253215434180030246115862032895499993582267<179>
prime factors 素因数
19040340637648210868379117961880200224083<41>
composite cofactor 合成数の残り
1449042038886457977275736047557847119439134383903865583802730356524462608737631889822415710776695664897224875214083590924322735359677843449<139>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 
27590254018670444852060458163758234041407213315968267369234491608184324969047933507967645508900436009983833310721320800640381791535957838253215434180030246115862032895499993582267 (179 digits)
Run 585 out of 1000:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1385992420
Step 1 took 66581ms
Step 2 took 20826ms
********** Factor found in step 2: 19040340637648210868379117961880200224083
Found probable prime factor of 41 digits: 19040340637648210868379117961880200224083
Composite cofactor 
1449042038886457977275736047557847119439134383903865583802730356524462608737631889822415710776695664897224875214083590924322735359677843449 has 139 digits
software ソフトウェア
GMP-ECM

c139

name 名前Jo Yeong Uk
date 日付September 12, 2014 15:54:19 UTC 2014 年 9 月 13 日 (土) 0 時 54 分 19 秒 (日本時間)
composite number 合成数
1449042038886457977275736047557847119439134383903865583802730356524462608737631889822415710776695664897224875214083590924322735359677843449<139>
prime factors 素因数
533069110183538168764034856646424157448997606332829033<54>
2718300519021907080423642860825043651728871207807033967846075461947330821337467175953<85>
factorization results 素因数分解の結果
Number: 25551_184
N=1449042038886457977275736047557847119439134383903865583802730356524462608737631889822415710776695664897224875214083590924322735359677843449
  ( 139 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=533069110183538168764034856646424157448997606332829033
 r2=2718300519021907080423642860825043651728871207807033967846075461947330821337467175953
Version: 
Total time: 83.10 hours.
Scaled time: 424.04 units (timescale=5.103).
Factorization parameters were as follows:
n: 1449042038886457977275736047557847119439134383903865583802730356524462608737631889822415710776695664897224875214083590924322735359677843449
m: 10000000000000000000000000000000000000
deg: 5
c5: 23
c0: -410
skew: 1.78
# Murphy_E = 5.223e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 7900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20475701
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1745640 x 1745887
Total sieving time: 76.79 hours.
Total relation processing time: 1.99 hours.
Matrix solve time: 3.98 hours.
Time per square root: 0.34 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 83.10 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61700700Erik BrangerDecember 10, 2009 16:23:32 UTC 2009 年 12 月 11 日 (金) 1 時 23 分 32 秒 (日本時間)
1000Dmitry DomanovApril 21, 2013 07:48:48 UTC 2013 年 4 月 21 日 (日) 16 時 48 分 48 秒 (日本時間)
4511e6600 / 4103Dmitry DomanovApril 26, 2013 15:53:51 UTC 2013 年 4 月 27 日 (土) 0 時 53 分 51 秒 (日本時間)

23×10187-419

c156

name 名前Dmitry Domanov
date 日付April 23, 2013 05:08:41 UTC 2013 年 4 月 23 日 (火) 14 時 8 分 41 秒 (日本時間)
composite number 合成数
226959499205326410639284325308402863602218909825452297525787842560063551069311292194921872623873703687704683676519224464256454389398578317758891823041953363<156>
prime factors 素因数
218613113840905019830369700950295243<36>
3508127044763732233458705101032392972305956879<46>
295935347335276674440034001992761974970606704014448447660915363148825502679<75>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3924512080
Step 1 took 27470ms
Step 2 took 9928ms
********** Factor found in step 2: 218613113840905019830369700950295243
Found probable prime factor of 36 digits: 218613113840905019830369700950295243
Composite cofactor 1038178795488432800605215346311743762909640298933976971421423483410627738788381418827274747250324716712333035303272978841 has 121 digits

GNFS:
N=1038178795488432800605215346311743762909640298933976971421423483410627738788381418827274747250324716712333035303272978841
  ( 121 digits)
Divisors found:
 r1=3508127044763732233458705101032392972305956879 (pp46)
 r2=295935347335276674440034001992761974970606704014448447660915363148825502679 (pp75)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 61.72 hours.
Scaled time: 57.28 units (timescale=0.928).
Factorization parameters were as follows:
n: 1038178795488432800605215346311743762909640298933976971421423483410627738788381418827274747250324716712333035303272978841
skew: 132633.17
c0: -42425163836835023019917980635
c1: 5966496080439204095497165
c2: 6049951638222146423
c3: -664876019419905
c4: -398017692
c5: 15444
Y0: -146386987810312671457784
Y1: 142423815133
type: gnfs
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2550000, 4470001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 648158 x 648389
Total sieving time: 60.31 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 0.89 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
gnfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5100000,5100000,27,27,54,54,2.5,2.5,100000
total time: 61.72 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 18, 2010 12:10:55 UTC 2010 年 10 月 18 日 (月) 21 時 10 分 55 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 18, 2010 12:10:55 UTC 2010 年 10 月 18 日 (月) 21 時 10 分 55 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 18, 2010 12:10:55 UTC 2010 年 10 月 18 日 (月) 21 時 10 分 55 秒 (日本時間)

23×10188-419

c113

name 名前Serge Batalov
date 日付July 30, 2008 20:44:57 UTC 2008 年 7 月 31 日 (木) 5 時 44 分 57 秒 (日本時間)
composite number 合成数
47951142994111730052600594373683969756210565578842353767390601851826733211778758756378457047403995719847319322581<113>
prime factors 素因数
65615481280730819870909029109781563549335597<44>
730790082739108945520358150329693309160286713343015176689118525792073<69>
factorization results 素因数分解の結果
Number: 25551_188
N=47951142994111730052600594373683969756210565578842353767390601851826733211778758756378457047403995719847319322581
  ( 113 digits)
Divisors found:
 r1=65615481280730819870909029109781563549335597
 r2=730790082739108945520358150329693309160286713343015176689118525792073
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
name: 25551_188
n: 47951142994111730052600594373683969756210565578842353767390601851826733211778758756378457047403995719847319322581
skew: 39942.85
# norm 4.55e+15
c5: 34440
c4: 33787766
c3: -289153465319201
c2: 86740494851837328
c1: 170200457961466906677222
c0: 1225255008348063687936417840
# alpha -6.30
Y1: 624020572153
Y0: -4253506998509198027219
# Murphy_E 7.21e-10
# M 13308855079719020252483670510147535496065937586070006992997317244223463936867911346371720820664892712291005385604
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 3650001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: 7790604 relations (7008594 unique relations and about 7083638 large ideals)
Max relations in full relation-set: 20
Initial matrix: 486909 x 487115 (149.7 MB) with weight 49914063 (102.47/col)
Pruned matrix : 484228 x 484476
Total sieving time: 12.00 hours.
Total relation processing time: 00:06:58
Matrix solve time: 01:06:27
Time per square root: 00:14:26 
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000

total time: 13.6 hours.
software ソフトウェア
pol51+Msieve 1.36
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10191-419

c127

name 名前Wataru Sakai
date 日付March 20, 2009 07:08:51 UTC 2009 年 3 月 20 日 (金) 16 時 8 分 51 秒 (日本時間)
composite number 合成数
1935540967806136401064914352151808195969322252495126562521967716825760542668516359778560195883794631752888982499370021086250747<127>
prime factors 素因数
18183469352047122005819738271467857341848407<44>
106445086486657196807532944997246788012201790725070046199662462071658155594075770621<84>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3307947160
Step 1 took 151244ms
Step 2 took 48221ms
********** Factor found in step 2: 18183469352047122005819738271467857341848407
Found probable prime factor of 44 digits: 18183469352047122005819738271467857341848407
Probable prime cofactor 106445086486657196807532944997246788012201790725070046199662462071658155594075770621 has 84 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336500Erik BrangerMarch 16, 2009 19:51:54 UTC 2009 年 3 月 17 日 (火) 4 時 51 分 54 秒 (日本時間)
1836Wataru SakaiMarch 17, 2009 14:09:34 UTC 2009 年 3 月 17 日 (火) 23 時 9 分 34 秒 (日本時間)

23×10192-419

c165

composite cofactor 合成数の残り
268509781613238464602637954539790072066592810021084231484513892517293865415256519332234807028761097437482315699217186965030595285991851189233105338919856342976094851<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 18, 2010 15:57:09 UTC 2010 年 10 月 19 日 (火) 0 時 57 分 9 秒 (日本時間)
403e61110110Ignacio SantosOctober 18, 2010 15:57:09 UTC 2010 年 10 月 19 日 (火) 0 時 57 分 9 秒 (日本時間)
1000Dmitry DomanovApril 21, 2013 07:48:59 UTC 2013 年 4 月 21 日 (日) 16 時 48 分 59 秒 (日本時間)
4511e6632 / 422032Ignacio SantosOctober 18, 2010 15:57:09 UTC 2010 年 10 月 19 日 (火) 0 時 57 分 9 秒 (日本時間)
600Dmitry DomanovApril 26, 2013 15:54:04 UTC 2013 年 4 月 27 日 (土) 0 時 54 分 4 秒 (日本時間)

23×10193-419

c136

name 名前Robert Backstrom
date 日付May 7, 2012 16:24:13 UTC 2012 年 5 月 8 日 (火) 1 時 24 分 13 秒 (日本時間)
composite number 合成数
8878506420470077733153707056339101035098915749128617822704389752681314283286225003432565978064250243007097561544332709347944489658825733<136>
prime factors 素因数
21981471799923293466345117222099732721965408577228738681<56>
403908641845404554074623864588276528765475625934389912775099413193825340298976493<81>
factorization results 素因数分解の結果
Number: n
N=8878506420470077733153707056339101035098915749128617822704389752681314283286225003432565978064250243007097561544332709347944489658825733
  ( 136 digits)
Divisors found:

Tue May  8 02:05:00 2012  prp56 factor: 21981471799923293466345117222099732721965408577228738681
Tue May  8 02:05:00 2012  prp81 factor: 403908641845404554074623864588276528765475625934389912775099413193825340298976493
Tue May  8 02:05:00 2012  elapsed time 06:22:33 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.026).
Factorization parameters were as follows:
name: KA_25551_193
# Murphy_E = 3.360045e-11, selected by Jeff Gilchrist
n: 8878506420470077733153707056339101035098915749128617822704389752681314283286225003432565978064250243007097561544332709347944489658825733
Y0: -159756089071199763246465116
Y1: 1611877542885731
c0: 493649908345385467696609776986175
c1: 5416388019236452918466699430
c2: -3827736040868393143187
c3: -66724789855703336
c4: 38268326586
c5: 85320
skew: 466725.38
type: gnfs
# selected mechanically
rlim: 14200000
alim: 14200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 14200000/14200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 13700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2420428 hash collisions in 23797590 relations (22187021 unique)
Msieve: matrix is 1625863 x 1626089 (470.5 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,135,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,14200000,14200000,28,28,55,55,2.6,2.6,60000
total time: 0.00 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: 4012828k/4980736k available (3972k kernel code, 787908k absent, 180000k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.52 BogoMIPS (lpj=2400261)
Calibrating delay using timer specific routine.. 4799.90 BogoMIPS (lpj=2399952)
Calibrating delay using timer specific routine.. 4799.86 BogoMIPS (lpj=2399932)
Calibrating delay using timer specific routine.. 4799.90 BogoMIPS (lpj=2399953)
Total of 4 processors activated (19200.19 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336500Erik BrangerMay 7, 2009 07:36:30 UTC 2009 年 5 月 7 日 (木) 16 時 36 分 30 秒 (日本時間)
1192Wataru SakaiAugust 17, 2009 00:44:29 UTC 2009 年 8 月 17 日 (月) 9 時 44 分 29 秒 (日本時間)
644Wataru SakaiAugust 21, 2009 12:24:53 UTC 2009 年 8 月 21 日 (金) 21 時 24 分 53 秒 (日本時間)

23×10194-419

c185

name 名前matsui
date 日付March 7, 2011 10:33:33 UTC 2011 年 3 月 7 日 (月) 19 時 33 分 33 秒 (日本時間)
composite number 合成数
68016606009142481255142158363338853899089994765154853169286480216004087854090490764573062069695694168115190522891746708733561773533662928090357173866938010434965095629519437187991546761<185>
prime factors 素因数
262403331781593574766113562024732715006041761541629645347256899192602329339316450676257<87>
259206335328679478628934062972172053952198882671875357817752938738556941931038271583585904166740073<99>
factorization results 素因数分解の結果
N=68016606009142481255142158363338853899089994765154853169286480216004087854090490764573062069695694168115190522891746708733561773533662928090357173866938010434965095629519437187991546761
  ( 185 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=262403331781593574766113562024732715006041761541629645347256899192602329339316450676257 (pp87)
 r2=259206335328679478628934062972172053952198882671875357817752938738556941931038271583585904166740073 (pp99)
Version: Msieve v. 1.49
Total time:
Scaled time: 78.61 units (timescale=0.675).
Factorization parameters were as follows:
n: 68016606009142481255142158363338853899089994765154853169286480216004087854090490764573062069695694168115190522891746708733561773533662928090357173866938010434965095629519437187991546761
m: 100000000000000000000000000000000000000
deg: 5
c5: 230000
c0: -41
skew: 0.18
type: snfs
lss: 1
rlim: 12600000
alim: 12600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 12600000/12600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6300000, 14940001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2381499 x 2381719
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,195.000,5,0,0,0,0,0,0,0,0,12600000,12600000,28,28,55,55,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 18, 2010 15:57:36 UTC 2010 年 10 月 19 日 (火) 0 時 57 分 36 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 18, 2010 15:57:36 UTC 2010 年 10 月 19 日 (火) 0 時 57 分 36 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 18, 2010 15:57:36 UTC 2010 年 10 月 19 日 (火) 0 時 57 分 36 秒 (日本時間)

23×10195-419

c137

name 名前Serge Batalov
date 日付July 27, 2008 19:29:47 UTC 2008 年 7 月 28 日 (月) 4 時 29 分 47 秒 (日本時間)
composite number 合成数
52677307789210701048535432900373459702804387415733245862660631749078034628368963197884652385476423013402578633422881125232460482824549261<137>
prime factors 素因数
337159954666957756609533851017<30>
composite cofactor 合成数の残り
156238328603539719034056512317514350799152188699229320945880126217790717414234564344734256456866329066492133<108>
factorization results 素因数分解の結果
Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=2243790911
Step 1 took 6118ms
Step 2 took 5268ms
********** Factor found in step 2: 337159954666957756609533851017
Found probable prime factor of 30 digits: 337159954666957756609533851017
Composite cofactor 156238328603539719034056512317514350799152188699229320945880126217790717414234564344734256456866329066492133 has 108 digits
software ソフトウェア
GMP-ECM 6.2.1

c108

name 名前Serge Batalov
date 日付July 28, 2008 18:58:50 UTC 2008 年 7 月 29 日 (火) 3 時 58 分 50 秒 (日本時間)
composite number 合成数
156238328603539719034056512317514350799152188699229320945880126217790717414234564344734256456866329066492133<108>
prime factors 素因数
425452593547811250316631268573489297907292332462667<51>
367228525511343637108246350268855498271898118507609664399<57>
factorization results 素因数分解の結果
Number: 25551_195
N=156238328603539719034056512317514350799152188699229320945880126217790717414234564344734256456866329066492133
  ( 108 digits)
Divisors found:
 r1=425452593547811250316631268573489297907292332462667
 r2=367228525511343637108246350268855498271898118507609664399
Version: 
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
name: 25551_195
n: 156238328603539719034056512317514350799152188699229320945880126217790717414234564344734256456866329066492133
skew: 18161.46
# norm 6.06e+14
c5: 19440
c4: -1287147529
c3: -42621652708216
c2: 324919101556326086
c1: 4304459856666512446668
c0: 5045724495165348220842000
# alpha -5.28
Y1: 144033260789
Y0: -381083757256829511337
# Murphy_E 1.27e-09
# M 128206860376250402135095926671172746209589861555750814743352707800749867899952792114219665913762911409522204
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1600000, 2900001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 372333 x 372574
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,26,26,49,49,2.6,2.6,100000

total time: 11.25 hours.
software ソフトウェア
pol51+Msieve 1.36
execution environment 実行環境
Opteron-2.2GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10197-419

c177

composite cofactor 合成数の残り
376450061940017337829694763691860851621835513462378836931683189381379377907036763669879968939612657722475904458463771243842140505868677920106251582841658504527082699371188851093<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 18, 2010 15:58:30 UTC 2010 年 10 月 19 日 (火) 0 時 58 分 30 秒 (日本時間)
403e61110110Ignacio SantosOctober 18, 2010 15:58:30 UTC 2010 年 10 月 19 日 (火) 0 時 58 分 30 秒 (日本時間)
1000Dmitry DomanovApril 21, 2013 07:49:13 UTC 2013 年 4 月 21 日 (日) 16 時 49 分 13 秒 (日本時間)
4511e6632 / 422032Ignacio SantosOctober 18, 2010 15:58:30 UTC 2010 年 10 月 19 日 (火) 0 時 58 分 30 秒 (日本時間)
600Dmitry DomanovApril 26, 2013 15:54:14 UTC 2013 年 4 月 27 日 (土) 0 時 54 分 14 秒 (日本時間)

23×10198-419

c199

name 名前Wataru Sakai
date 日付November 13, 2008 15:10:06 UTC 2008 年 11 月 14 日 (金) 0 時 10 分 6 秒 (日本時間)
composite number 合成数
2555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551<199>
prime factors 素因数
330048488040326643281297069715026424433630199177<48>
515268873558507774234780986872212218799351367544094804445562015097943<69>
15027047896934639118130321753833927516048042040409791293930953426741283723690424241<83>
factorization results 素因数分解の結果
Number: 25551_198
N=2555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551
  ( 199 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=330048488040326643281297069715026424433630199177
 r2=515268873558507774234780986872212218799351367544094804445562015097943
 r3=15027047896934639118130321753833927516048042040409791293930953426741283723690424241
Version: 
Total time: 993.45 hours.
Scaled time: 2000.80 units (timescale=2.014).
Factorization parameters were as follows:
n: 2555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551
m: 5000000000000000000000000000000000000000
deg: 5
c5: 184
c0: -1025
skew: 1.41
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.8
alambda: 2.8
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved rational special-q in [10500000, 19700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3481118 x 3481365
Total sieving time: 993.45 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,200,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.8,2.8,100000
total time: 993.45 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 KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6904Jo Yeong UkAugust 6, 2008 11:51:39 UTC 2008 年 8 月 6 日 (水) 20 時 51 分 39 秒 (日本時間)
403e62350260Jo Yeong UkAugust 8, 2008 09:04:25 UTC 2008 年 8 月 8 日 (金) 18 時 4 分 25 秒 (日本時間)
1848Jo Yeong UkAugust 18, 2008 00:20:41 UTC 2008 年 8 月 18 日 (月) 9 時 20 分 41 秒 (日本時間)
242Jo Yeong UkAugust 24, 2008 23:55:20 UTC 2008 年 8 月 25 日 (月) 8 時 55 分 20 秒 (日本時間)

23×10199-419

c196

name 名前Wataru Sakai
date 日付September 6, 2009 10:43:38 UTC 2009 年 9 月 6 日 (日) 19 時 43 分 38 秒 (日本時間)
composite number 合成数
2823506303784726058507961060165236499343227881510944155955756883831129770804944818865932555027682637891454596791023705176837427417473821186118169876870572926257381013761524202359469180814888471501<196>
prime factors 素因数
822166237785966937833596339772273380167<39>
8016571463986106513104624218307848381307<40>
2765643382267819668781591954418791280834022267016280940169<58>
154897452662266545680968239519414846256501968007596611529641<60>
factorization results 素因数分解の結果
Number: 25551_199
N=2823506303784726058507961060165236499343227881510944155955756883831129770804944818865932555027682637891454596791023705176837427417473821186118169876870572926257381013761524202359469180814888471501
  ( 196 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=822166237785966937833596339772273380167
 r2=8016571463986106513104624218307848381307
 r3=2765643382267819668781591954418791280834022267016280940169
 r4=154897452662266545680968239519414846256501968007596611529641
Version: 
Total time: 904.98 hours.
Scaled time: 1816.29 units (timescale=2.007).
Factorization parameters were as follows:
n: 2823506303784726058507961060165236499343227881510944155955756883831129770804944818865932555027682637891454596791023705176837427417473821186118169876870572926257381013761524202359469180814888471501
m: 10000000000000000000000000000000000000000
deg: 5
c5: 23
c0: -410
skew: 1.78
type: snfs
lss: 1
rlim: 15900000
alim: 15900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6Factor base limits: 15900000/15900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7950000, 17150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3310669 x 3310916
Total sieving time: 904.98 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,201,5,0,0,0,0,0,0,0,0,15900000,15900000,29,29,56,56,2.6,2.6,100000
total time: 904.98 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 KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)
351e61200Dmitry DomanovJuly 5, 2009 13:20:31 UTC 2009 年 7 月 5 日 (日) 22 時 20 分 31 秒 (日本時間)
403e62500Dmitry DomanovJuly 5, 2009 13:20:31 UTC 2009 年 7 月 5 日 (日) 22 時 20 分 31 秒 (日本時間)

23×10200-419

c167

name 名前Robert Backstrom
date 日付October 25, 2012 20:41:26 UTC 2012 年 10 月 26 日 (金) 5 時 41 分 26 秒 (日本時間)
composite number 合成数
72413242933384734756937389901343269463324655086461567989181679562919516552460458027973292378130550639948665067250988462429674457521133060108245219165467175471754563271<167>
prime factors 素因数
7523809296967452778311389696840923658342739112697<49>
9624545237021308165729653104119056247397785319621658469344430527745515126041941365175901900022200631269293941622570943<118>
factorization results 素因数分解の結果
Number: n
N=72413242933384734756937389901343269463324655086461567989181679562919516552460458027973292378130550639948665067250988462429674457521133060108245219165467175471754563271
  ( 167 digits)
SNFS difficulty: 201 digits.
Divisors found:

Fri Oct 26 06:58:50 2012  prp49 factor: 7523809296967452778311389696840923658342739112697
Fri Oct 26 06:58:50 2012  prp118 factor: 9624545237021308165729653104119056247397785319621658469344430527745515126041941365175901900022200631269293941622570943
Fri Oct 26 06:58:50 2012  elapsed time 05:51:30 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.069).
Factorization parameters were as follows:
name: KA_25551_200
n: 72413242933384734756937389901343269463324655086461567989181679562919516552460458027973292378130550639948665067250988462429674457521133060108245219165467175471754563271
m: 10000000000000000000000000000000000000000
#  c167, diff: 201.36
skew: 1.123
deg: 5
c5: 23
c0: -41
# Murphy_E = 1.425e-11
type: snfs
lss: 1
rlim: 15900000
alim: 15900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 15900000/15900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 38350000)
Primes: RFBsize:1025092, AFBsize:1025437,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9296770 hash collisions in 65494738 relations (58901221 unique)
Msieve: matrix is 1953722 x 1953948 (552.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,15900000,15900000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 18, 2010 19:18:28 UTC 2010 年 10 月 19 日 (火) 4 時 18 分 28 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 18, 2010 19:18:28 UTC 2010 年 10 月 19 日 (火) 4 時 18 分 28 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 18, 2010 19:18:28 UTC 2010 年 10 月 19 日 (火) 4 時 18 分 28 秒 (日本時間)

23×10202-419

c187

composite cofactor 合成数の残り
2943778858838999694997289577641754228968297409433717737831660631316624690061751952606116072502137285043408479838250140971844700591905787300444100988111730401766295523842215486140510215037<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 18, 2010 21:10:29 UTC 2010 年 10 月 19 日 (火) 6 時 10 分 29 秒 (日本時間)
403e61110110Ignacio SantosOctober 18, 2010 21:10:29 UTC 2010 年 10 月 19 日 (火) 6 時 10 分 29 秒 (日本時間)
1000Dmitry DomanovApril 21, 2013 07:49:22 UTC 2013 年 4 月 21 日 (日) 16 時 49 分 22 秒 (日本時間)
4511e6632 / 422032Ignacio SantosOctober 18, 2010 21:10:29 UTC 2010 年 10 月 19 日 (火) 6 時 10 分 29 秒 (日本時間)
600Dmitry DomanovApril 26, 2013 15:54:26 UTC 2013 年 4 月 27 日 (土) 0 時 54 分 26 秒 (日本時間)

23×10205-419

c187

name 名前Ignacio Santos
date 日付October 18, 2010 21:33:55 UTC 2010 年 10 月 19 日 (火) 6 時 33 分 55 秒 (日本時間)
composite number 合成数
1292585756764266492344289921077155756989111344246326103760222437689634366169101524334718163368658674003285548790466061637332524167345993228785844537556672845640737460734444057926863996001<187>
prime factors 素因数
1947164275524543669958152471971076364561<40>
663829843743440059714201038185203556289984740199145364999743052203632840243793268622510698476400382349723793136174470533854770554901867639532009041<147>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2226666516
Step 1 took 108764ms
Step 2 took 50669ms
********** Factor found in step 2: 1947164275524543669958152471971076364561
Found probable prime factor of 40 digits: 1947164275524543669958152471971076364561
Probable prime cofactor 663829843743440059714201038185203556289984740199145364999743052203632840243793268622510698476400382349723793136174470533854770554901867639532009041 has 147 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 KamadaJuly 28, 2008 09:00:00 UTC 2008 年 7 月 28 日 (月) 18 時 0 分 0 秒 (日本時間)

23×10206-419

c203

name 名前Robert Backstrom
date 日付February 10, 2014 00:37:38 UTC 2014 年 2 月 10 日 (月) 9 時 37 分 38 秒 (日本時間)
composite number 合成数
94196666257115943809640824016054388335995413031904001310562313142482696481959290658148011631240529139533931277388704591063603227259696113363640086824753245689478641929803006102305770569685055494122947127<203>
prime factors 素因数
136460875743368436468039800764978718182426096519<48>
1891127944075136600947156079884343635375799078183<49>
365011432156981300194557482878693141473795570979941747323473588085351470073199474067268202720196676149562951<108>
factorization results 素因数分解の結果
Number: n
N=94196666257115943809640824016054388335995413031904001310562313142482696481959290658148011631240529139533931277388704591063603227259696113363640086824753245689478641929803006102305770569685055494122947127
  ( 203 digits)
SNFS difficulty: 207 digits.
Divisors found:

Mon Feb 10 08:47:54 2014  prp48 factor: 136460875743368436468039800764978718182426096519
Mon Feb 10 08:47:54 2014  prp49 factor: 1891127944075136600947156079884343635375799078183
Mon Feb 10 08:47:54 2014  prp108 factor: 365011432156981300194557482878693141473795570979941747323473588085351470073199474067268202720196676149562951
Mon Feb 10 08:47:54 2014  elapsed time 19:49:15 (Msieve 1.44 - dependency 6)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.613).
Factorization parameters were as follows:
#
#  23*10^206-41 - 25(205)1
#
#  c203, diff: 207.36
#
skew: 0.708
n: 94196666257115943809640824016054388335995413031904001310562313142482696481959290658148011631240529139533931277388704591063603227259696113363640086824753245689478641929803006102305770569685055494122947127
m: 100000000000000000000000000000000000000000
deg: 5
c5: 230
c0: -41
# Murphy_E = 6.063e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34000000)
Primes: RFBsize:1270607, AFBsize:1269136,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9412181 hash collisions in 55210330 relations (47299833 unique)
Msieve: matrix is 3099986 x 3100212 (880.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 15hrs 23min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 3hrs 51min 57sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 17, 2013 13:00:00 UTC 2013 年 4 月 17 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 21, 2013 07:49:32 UTC 2013 年 4 月 21 日 (日) 16 時 49 分 32 秒 (日本時間)
4511e61850 / 4254600Dmitry DomanovApril 26, 2013 15:54:35 UTC 2013 年 4 月 27 日 (土) 0 時 54 分 35 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:13:46 UTC 2013 年 11 月 9 日 (土) 2 時 13 分 46 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:14 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 14 秒 (日本時間)

23×10208-419

c160

composite cofactor 合成数の残り
1292549000836215671937440437359260923588817666985824359881230530923527932845126351155684304665331038679222155194042532610680771682859259275855137309786564500401<160>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 17, 2013 13:00:00 UTC 2013 年 4 月 17 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 21, 2013 07:49:46 UTC 2013 年 4 月 21 日 (日) 16 時 49 分 46 秒 (日本時間)
4511e6600 / 4254Dmitry DomanovApril 26, 2013 15:54:46 UTC 2013 年 4 月 27 日 (土) 0 時 54 分 46 秒 (日本時間)

23×10209-419

c193

composite cofactor 合成数の残り
1031072269773402700363832328653885115967460908551595670803427929767092174916075761246471192632882659467962068651579079564697912995344499265098456295149861790787483453435720770726566837006929961<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 17, 2013 13:00:00 UTC 2013 年 4 月 17 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 21, 2013 07:49:55 UTC 2013 年 4 月 21 日 (日) 16 時 49 分 55 秒 (日本時間)
4511e6600 / 4254Dmitry DomanovApril 26, 2013 15:54:56 UTC 2013 年 4 月 27 日 (土) 0 時 54 分 56 秒 (日本時間)

23×10210-419

c203

composite cofactor 合成数の残り
71724035026937692086516013324791437342707826870041976678605693615435438939883586340334656301870023032178049665507634326558103233819384354125859783683990113596433122574751155721340361178602648462383099607<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 17, 2013 13:00:00 UTC 2013 年 4 月 17 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 21, 2013 07:50:12 UTC 2013 年 4 月 21 日 (日) 16 時 50 分 12 秒 (日本時間)
4511e6600 / 4254Dmitry DomanovApril 26, 2013 15:55:06 UTC 2013 年 4 月 27 日 (土) 0 時 55 分 6 秒 (日本時間)

23×10211-419

c205

composite cofactor 合成数の残り
1882590877552303142444429825717021364386129636828493441835067080846481941447543933880068827849890421342418749649111662251868281140588473516493219067270022309602268544925948165053814228567830367299127983087<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 17, 2013 13:00:00 UTC 2013 年 4 月 17 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 21, 2013 07:50:20 UTC 2013 年 4 月 21 日 (日) 16 時 50 分 20 秒 (日本時間)
4511e6600 / 4254Dmitry DomanovApril 26, 2013 15:55:18 UTC 2013 年 4 月 27 日 (土) 0 時 55 分 18 秒 (日本時間)

23×10212-419

c196

composite cofactor 合成数の残り
2910995625323095147576847660451948854104305605726546189807638100328238123559074889676525334356224065040706024190434905030364652305077791945692235383498474020560427466283086070016888896276479983971<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 17, 2013 13:00:00 UTC 2013 年 4 月 17 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 21, 2013 07:50:41 UTC 2013 年 4 月 21 日 (日) 16 時 50 分 41 秒 (日本時間)
4511e6600 / 4254Dmitry DomanovApril 26, 2013 15:55:27 UTC 2013 年 4 月 27 日 (土) 0 時 55 分 27 秒 (日本時間)

23×10213-419

c214

name 名前Serge Batalov
date 日付November 8, 2013 07:49:46 UTC 2013 年 11 月 8 日 (金) 16 時 49 分 46 秒 (日本時間)
composite number 合成数
2555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551<214>
prime factors 素因数
3761115007342845342895871001660166582199<40>
679467538367300788677373441149844186278354736608663621809358336480642713200027099494468432848575265499726218033237654963461599212242711332098207448146854449919992542469812249<174>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2672796980
Step 1 took 67199ms
Step 2 took 20978ms
********** Factor found in step 2: 3761115007342845342895871001660166582199
Found probable prime factor of 40 digits: 3761115007342845342895871001660166582199
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 17, 2013 13:00:00 UTC 2013 年 4 月 17 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 21, 2013 07:50:49 UTC 2013 年 4 月 21 日 (日) 16 時 50 分 49 秒 (日本時間)
4511e6600 / 4254Dmitry DomanovApril 26, 2013 15:55:36 UTC 2013 年 4 月 27 日 (土) 0 時 55 分 36 秒 (日本時間)

23×10214-419

c210

composite cofactor 合成数の残り
143774891028009224096921779583090322512084904699126036195016262190391711565064701826503713455391964733894555494920058035047317566853761557469636930893660965054575073309566718738181547680442176551815533064161733<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 17, 2013 13:00:00 UTC 2013 年 4 月 17 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 21, 2013 07:50:58 UTC 2013 年 4 月 21 日 (日) 16 時 50 分 58 秒 (日本時間)
4511e6600 / 4254Dmitry DomanovApril 26, 2013 15:55:45 UTC 2013 年 4 月 27 日 (土) 0 時 55 分 45 秒 (日本時間)

23×10215-419

c200

composite cofactor 合成数の残り
97388470169598668892501960350260317646837298830707792135588943913745895931176613325280668286274695430845945414520354223839207052603879858028448858413050049799369572676281790683865090207154483579770609<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 17, 2013 13:00:00 UTC 2013 年 4 月 17 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 21, 2013 07:51:09 UTC 2013 年 4 月 21 日 (日) 16 時 51 分 9 秒 (日本時間)
4511e6600 / 4254Dmitry DomanovApril 26, 2013 15:55:56 UTC 2013 年 4 月 27 日 (土) 0 時 55 分 56 秒 (日本時間)

23×10217-419

c186

name 名前Dmitry Domanov
date 日付April 19, 2013 11:16:11 UTC 2013 年 4 月 19 日 (金) 20 時 16 分 11 秒 (日本時間)
composite number 合成数
946238849367658683767325054460504051313368449197617328369856009354837748130133627751706417739305868218677770877871924258324422439523324464973672908788191242426264536159392728861924428763<186>
prime factors 素因数
2986469925622460153249514513561998125873<40>
316841914679732533050674916715037004666720710778714534753686463871297432261715196686066158360935778472084676162175468813397944479851777821647817931<147>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2423009179
Step 1 took 31278ms
Step 2 took 11670ms
********** Factor found in step 2: 2986469925622460153249514513561998125873
Found probable prime factor of 40 digits: 2986469925622460153249514513561998125873

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 17, 2013 13:00:00 UTC 2013 年 4 月 17 日 (水) 22 時 0 分 0 秒 (日本時間)

23×10218-419

c208

composite cofactor 合成数の残り
1101432136487874150463029896505037053104925067116870812028930007935547739543453894106415039633498648750045845935226409679095385597279083892657294974729822889461091569783944560950668180312935119873449294791263<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 17, 2013 13:00:00 UTC 2013 年 4 月 17 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 21, 2013 07:51:20 UTC 2013 年 4 月 21 日 (日) 16 時 51 分 20 秒 (日本時間)
4511e6600 / 4254Dmitry DomanovApril 26, 2013 15:56:06 UTC 2013 年 4 月 27 日 (土) 0 時 56 分 6 秒 (日本時間)

23×10220-419

c215

name 名前Dmitry Domanov
date 日付April 19, 2013 10:03:47 UTC 2013 年 4 月 19 日 (金) 19 時 3 分 47 秒 (日本時間)
composite number 合成数
21553374166669243700534420597978687086520772814035707193850953544700714063286141752043798705354411033903176433203329002979332282090935934656916669876245211051108391637553212235232026289868705278505672707515183649273<215>
prime factors 素因数
27138730218947609987071369422359<32>
794192432467647113255649892024686918358082712525691527066954319640714329388748023641627544426127492884648344078183078382424541085640001317023679281793604430766290083423723290263937647<183>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4083776301
Step 1 took 37262ms
Step 2 took 12934ms
********** Factor found in step 2: 27138730218947609987071369422359
Found probable prime factor of 32 digits: 27138730218947609987071369422359

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 17, 2013 13:00:00 UTC 2013 年 4 月 17 日 (水) 22 時 0 分 0 秒 (日本時間)

23×10222-419

c223

name 名前matsui
date 日付June 14, 2013 05:19:39 UTC 2013 年 6 月 14 日 (金) 14 時 19 分 39 秒 (日本時間)
composite number 合成数
2555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551<223>
prime factors 素因数
245846970487876113156463210918610971236245057<45>
10394903587724226971520068733146725758613204755924974993464870535219011890479787829555353596561462210125250618091028750257478861138302592864269858347782313182322294791341907693343<179>
factorization results 素因数分解の結果
N=2555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551
  ( 223 digits)
SNFS difficulty: 223 digits.
Divisors found:
 r1=245846970487876113156463210918610971236245057 (pp45)
 r2=10394903587724226971520068733146725758613204755924974993464870535219011890479787829555353596561462210125250618091028750257478861138302592864269858347782313182322294791341907693343 (pp179)
Version: Msieve v. 1.52 (SVN Unversioned directory)
Total time:
Scaled time: 462.65 units (timescale=1.903).
Factorization parameters were as follows:
n: 2555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551
m: 10000000000000000000000000000000000000
deg: 6
c6: 23
c0: -41
skew: 1.10
# Murphy_E = 1.958e-12
type: snfs
lss: 1
rlim: 37000000
alim: 37000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
qintsize: 800000
Factor base limits: 37000000/37000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved rational special-q in [18500000, 64100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 6485089 x 6485312
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,223.000,6,0,0,0,0,0,0,0,0,37000000,37000000,29,29,58,58,2.6,2.6,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 17, 2013 13:00:00 UTC 2013 年 4 月 17 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 21, 2013 07:51:32 UTC 2013 年 4 月 21 日 (日) 16 時 51 分 32 秒 (日本時間)
4511e6600 / 4254Dmitry DomanovApril 26, 2013 15:58:48 UTC 2013 年 4 月 27 日 (土) 0 時 58 分 48 秒 (日本時間)

23×10224-419

c187

composite cofactor 合成数の残り
5188684418124658330260209315510090174213810950365888309605032159342748798811649474698296994465057160084959536085332245783181472382642901230970683742924647309249281544084007957686564561049<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 17, 2013 13:00:00 UTC 2013 年 4 月 17 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 21, 2013 07:51:43 UTC 2013 年 4 月 21 日 (日) 16 時 51 分 43 秒 (日本時間)
4511e6600 / 4254Dmitry DomanovApril 26, 2013 15:59:22 UTC 2013 年 4 月 27 日 (土) 0 時 59 分 22 秒 (日本時間)

23×10226-419

c222

name 名前Bob Backstrom
date 日付August 4, 2018 14:11:47 UTC 2018 年 8 月 4 日 (土) 23 時 11 分 47 秒 (日本時間)
composite number 合成数
267886364933441885547297667175650760040206249206532234300403110743058540159077911837432577078477892968914699157788563115774663307604595066464936586638526951115397292950046181279867873785921523271754411098415626859917560883<222>
prime factors 素因数
602185355202289203049176958104002309<36>
444856990657722188272565822067742119861982172457815744125645524489917404710781914210303400435008357277699846257440715395424279129684298493546044812212782122252598338026010889993653040087<186>
factorization results 素因数分解の結果
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 267886364933441885547297667175650760040206249206532234300403110743058540159077911837432577078477892968914699157788563115774663307604595066464936586638526951115397292950046181279867873785921523271754411098415626859917560883 (222 digits)
Using B1=45540000, B2=240492732496, polynomial Dickson(12), sigma=1:3303093375
Step 1 took 625797ms
Step 2 took 148891ms
********** Factor found in step 2: 602185355202289203049176958104002309
Found probable prime factor of 36 digits: 602185355202289203049176958104002309
Probable prime cofactor 444856990657722188272565822067742119861982172457815744125645524489917404710781914210303400435008357277699846257440715395424279129684298493546044812212782122252598338026010889993653040087 has 186 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 17, 2013 13:00:00 UTC 2013 年 4 月 17 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 21, 2013 07:51:53 UTC 2013 年 4 月 21 日 (日) 16 時 51 分 53 秒 (日本時間)
4511e6600 / 4254Dmitry DomanovApril 26, 2013 15:59:37 UTC 2013 年 4 月 27 日 (土) 0 時 59 分 37 秒 (日本時間)

23×10227-419

c184

composite cofactor 合成数の残り
5099504912175920312988822732798222979877276114984854831860975509835433649288805844282582688373882347701834130092632699871807350530890553158772942650405995700263202569588803758794131773<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 17, 2013 13:00:00 UTC 2013 年 4 月 17 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 21, 2013 07:52:01 UTC 2013 年 4 月 21 日 (日) 16 時 52 分 1 秒 (日本時間)
4511e6600 / 4254Dmitry DomanovApril 26, 2013 15:59:47 UTC 2013 年 4 月 27 日 (土) 0 時 59 分 47 秒 (日本時間)

23×10228-419

c197

composite cofactor 合成数の残り
10483859874441509167213316753489375087278291723716738822303753591666358193608606572890664367235901199648865395328155032228174837990675561874766742589552569704132404465148915537579853554918693646529<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 17, 2013 13:00:00 UTC 2013 年 4 月 17 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 21, 2013 07:52:26 UTC 2013 年 4 月 21 日 (日) 16 時 52 分 26 秒 (日本時間)
4511e6600 / 4254Dmitry DomanovApril 26, 2013 16:00:00 UTC 2013 年 4 月 27 日 (土) 1 時 0 分 0 秒 (日本時間)

23×10229-419

c216

composite cofactor 合成数の残り
616788219701565513748781763602859316708746741034888488827350494891054551131471087558698463533822930748404861771953230004604153920570343992982872363136314103764931664141213496801686848560705579354593765999826702041249<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 17, 2013 13:00:00 UTC 2013 年 4 月 17 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 21, 2013 07:52:36 UTC 2013 年 4 月 21 日 (日) 16 時 52 分 36 秒 (日本時間)
4511e6600 / 4254Dmitry DomanovApril 26, 2013 16:01:49 UTC 2013 年 4 月 27 日 (土) 1 時 1 分 49 秒 (日本時間)

23×10230-419

c177

composite cofactor 合成数の残り
439952104449421663922317612000647736186072600851919279748761428101026003524666331070147587984062378035547687062675375834853970153718711294281683008976689329507964481891428013263<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 17, 2013 13:00:00 UTC 2013 年 4 月 17 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 21, 2013 07:52:46 UTC 2013 年 4 月 21 日 (日) 16 時 52 分 46 秒 (日本時間)
4511e6600 / 4254Dmitry DomanovApril 26, 2013 16:17:07 UTC 2013 年 4 月 27 日 (土) 1 時 17 分 7 秒 (日本時間)

23×10231-419

c227

name 名前Dmitry Domanov
date 日付April 18, 2013 16:59:20 UTC 2013 年 4 月 19 日 (金) 1 時 59 分 20 秒 (日本時間)
composite number 合成数
42499801359624080017886872920050482372745431733308203016007642572974930660650173048104231686743203265462998379464095983029644535357063005031606917489407386465476302665107108738513504773836383156035248965684182128279183042948821<227>
prime factors 素因数
1084477167912931538462845313<28>
composite cofactor 合成数の残り
39189208050746370412959063862485401107874534741338962344292395511164858337306898035216659046277744048579037303913826720069404247927273387166980456252573184515005742236304814481758107028951822772594517<200>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3299242912
Step 1 took 40888ms
Step 2 took 10896ms
********** Factor found in step 2: 1084477167912931538462845313
Found probable prime factor of 28 digits: 1084477167912931538462845313

c200

name 名前Dmitry Domanov
date 日付April 22, 2013 12:02:29 UTC 2013 年 4 月 22 日 (月) 21 時 2 分 29 秒 (日本時間)
composite number 合成数
39189208050746370412959063862485401107874534741338962344292395511164858337306898035216659046277744048579037303913826720069404247927273387166980456252573184515005742236304814481758107028951822772594517<200>
prime factors 素因数
8252034288680930236190745497699216347<37>
619162405683930861981000463733925949741<39>
2318554941298555747247043538931856258217975052715196915999<58>
3308137046356397841917360053644286904020924109990685242135286445429<67>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3938295577
Step 1 took 30321ms
Step 2 took 9535ms
********** Factor found in step 2: 619162405683930861981000463733925949741
Found probable prime factor of 39 digits: 619162405683930861981000463733925949741

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3543359446
Step 1 took 19362ms
Step 2 took 6174ms
********** Factor found in step 2: 8252034288680930236190745497699216347
Found probable prime factor of 37 digits: 8252034288680930236190745497699216347
Composite cofactor 7670097495322435591209793935179274542315802617186387791881929923386085925355369169861818015799022748451160872613287810518571 has 124 digits

GNFS:
N=7670097495322435591209793935179274542315802617186387791881929923386085925355369169861818015799022748451160872613287810518571
  ( 124 digits)
Divisors found:
 r1=2318554941298555747247043538931856258217975052715196915999 (pp58)
 r2=3308137046356397841917360053644286904020924109990685242135286445429 (pp67)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 100.62 hours.
Scaled time: 98.71 units (timescale=0.981).
Factorization parameters were as follows:
n: 7670097495322435591209793935179274542315802617186387791881929923386085925355369169861818015799022748451160872613287810518571
skew: 306101.17
c0: -4091308270925093739612907935744
c1: 4523658389591074270759312
c2: 184702666440903905998
c3: -473038600409799
c4: -149795994
c5: 3672
Y0: -1158723136751195879020895
Y1: 11917365559151
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2700000, 5900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 729685 x 729912
Total sieving time: 99.20 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 0.81 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
gnfs,123,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,54,54,2.5,2.5,100000
total time: 100.62 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 17, 2013 13:00:00 UTC 2013 年 4 月 17 日 (水) 22 時 0 分 0 秒 (日本時間)

23×10232-419

c219

name 名前Dmitry Domanov
date 日付April 19, 2013 10:03:16 UTC 2013 年 4 月 19 日 (金) 19 時 3 分 16 秒 (日本時間)
composite number 合成数
314515539995252494882657602063933926477276011341810519017412200151702757272947379217112721636874755395161799824085381239365165554715811515288039330615228795341524916800887701880208921415777414882489973389436474684676439<219>
prime factors 素因数
570525968771230246912789933953131<33>
composite cofactor 合成数の残り
551272960760471665750741573200857036368141471207815153191145398774665301479647549841737177622398301564850900536889134967245630604381465537498581540302076050924725005236876769533615318469<186>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1507775340
Step 1 took 30675ms
Step 2 took 9711ms
********** Factor found in step 2: 570525968771230246912789933953131
Found probable prime factor of 33 digits: 570525968771230246912789933953131

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 17, 2013 13:00:00 UTC 2013 年 4 月 17 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 21, 2013 07:52:55 UTC 2013 年 4 月 21 日 (日) 16 時 52 分 55 秒 (日本時間)
4511e6600 / 4254Dmitry DomanovApril 26, 2013 16:17:19 UTC 2013 年 4 月 27 日 (土) 1 時 17 分 19 秒 (日本時間)

23×10233-419

c204

composite cofactor 合成数の残り
180516168736534101341866857367016933980004108695256282366952590987660875677788224948404559592097512746834096961492470627087620483589704667712654746135865075967054620562522330883898714155777554151555911311<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 17, 2013 13:00:00 UTC 2013 年 4 月 17 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 21, 2013 07:53:04 UTC 2013 年 4 月 21 日 (日) 16 時 53 分 4 秒 (日本時間)
4511e6600 / 4254Dmitry DomanovApril 26, 2013 16:17:29 UTC 2013 年 4 月 27 日 (土) 1 時 17 分 29 秒 (日本時間)

23×10234-419

c178

name 名前Dmitry Domanov
date 日付April 19, 2013 11:12:34 UTC 2013 年 4 月 19 日 (金) 20 時 12 分 34 秒 (日本時間)
composite number 合成数
9038598494770203049386479049160126937650674185022054921353817543006680614764257126939759691277895298600272056874135511757117603190621350527359103427116002590599311355055819278323<178>
prime factors 素因数
5499560772460908334189840684450891961<37>
1643512794700088151869152905431210983529625438106553801717276962454383583816622334898675114388072733718357346723235641339517222935806074284043<142>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1893217051
Step 1 took 32649ms
Step 2 took 11004ms
********** Factor found in step 2: 5499560772460908334189840684450891961
Found probable prime factor of 37 digits: 5499560772460908334189840684450891961

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 17, 2013 13:00:00 UTC 2013 年 4 月 17 日 (水) 22 時 0 分 0 秒 (日本時間)

23×10235-419

c188

name 名前Dmitry Domanov
date 日付April 19, 2013 11:14:35 UTC 2013 年 4 月 19 日 (金) 20 時 14 分 35 秒 (日本時間)
composite number 合成数
32462284408541271333120083244556409787875939566102081660110460262117276567199334905676483236362251341040580678427054964238463022074641523222884787140888861550224997474819728527289831037457<188>
prime factors 素因数
278414647835202950993499044598751<33>
composite cofactor 合成数の残り
116596898406566942245916273715964457021341872466901881152971665544534128584413659158131638084230507551447256271806535358216668508152805892790079017369096207<156>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1514416900
Step 1 took 31950ms
Step 2 took 11558ms
********** Factor found in step 2: 278414647835202950993499044598751
Found probable prime factor of 33 digits: 278414647835202950993499044598751

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 17, 2013 13:00:00 UTC 2013 年 4 月 17 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 21, 2013 07:53:15 UTC 2013 年 4 月 21 日 (日) 16 時 53 分 15 秒 (日本時間)
4511e64350600Dmitry DomanovApril 26, 2013 16:17:44 UTC 2013 年 4 月 27 日 (土) 1 時 17 分 44 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:12:03 UTC 2013 年 11 月 9 日 (土) 2 時 12 分 3 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:57 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 57 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:51 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 51 秒 (日本時間)
1600Ignacio SantosJanuary 19, 2016 17:22:33 UTC 2016 年 1 月 20 日 (水) 2 時 22 分 33 秒 (日本時間)

23×10236-419

c215

name 名前Dmitry Domanov
date 日付April 18, 2013 16:58:52 UTC 2013 年 4 月 19 日 (金) 1 時 58 分 52 秒 (日本時間)
composite number 合成数
12621247864515743348984355882040827791871915612624343956505405491168760719624798984497613256159953131857408419121494857940912856408047095227489976518634986611618065858642616224356986071210920445596866785894100688483<215>
prime factors 素因数
2582682477972797710036351621981<31>
4886875553677209543066311092085637745061037872950945072481587555137096811839865653568064737261731669298468077774003982090929666408803920214998783178839134070002952114530733695754929343<184>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2361744558
Step 1 took 38079ms
********** Factor found in step 1: 2582682477972797710036351621981
Found probable prime factor of 31 digits: 2582682477972797710036351621981

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 17, 2013 13:00:00 UTC 2013 年 4 月 17 日 (水) 22 時 0 分 0 秒 (日本時間)

23×10237-419

c196

name 名前Dmitry Domanov
date 日付April 18, 2013 16:59:52 UTC 2013 年 4 月 19 日 (金) 1 時 59 分 52 秒 (日本時間)
composite number 合成数
2443113571473165053821074903658100531465658378256654697076478154936709045085482877086005701184679364502855710477833860572794128680606066307965949427737912253853226654534399566043842135661902585117<196>
prime factors 素因数
81442422903012665071981882663<29>
composite cofactor 合成数の残り
29998046280899521072118212982295921496280050727287434870303505576623435466935783823063733047367932074059154912611821732701792197290975373080416756488572772216350316059<167>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3326016518
Step 1 took 37519ms
Step 2 took 12814ms
********** Factor found in step 2: 81442422903012665071981882663
Found probable prime factor of 29 digits: 81442422903012665071981882663

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 17, 2013 13:00:00 UTC 2013 年 4 月 17 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 21, 2013 07:53:26 UTC 2013 年 4 月 21 日 (日) 16 時 53 分 26 秒 (日本時間)
4511e6600 / 4254Dmitry DomanovApril 26, 2013 16:17:55 UTC 2013 年 4 月 27 日 (土) 1 時 17 分 55 秒 (日本時間)

23×10243-419

c237

name 名前Dmitry Domanov
date 日付April 19, 2013 10:01:14 UTC 2013 年 4 月 19 日 (金) 19 時 1 分 14 秒 (日本時間)
composite number 合成数
221823961410809267531203373869154705942778695984310217608052356395917308772289920484114785875789402761455633138968284989163851262481660583433860577062690624541794879710797106755858030851527310536947756107409206753366851319683309067238633<237>
prime factors 素因数
27898766071870889223474065799033541<35>
composite cofactor 合成数の残り
7951031269245441893985053701553541517296361833628090142609252113405511736980838304408566463772438418380029507768436920117480719742952010985474904033778651505810302723019981805867405834852293023372358613<202>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4228977265
Step 1 took 39017ms
Step 2 took 12716ms
********** Factor found in step 2: 27898766071870889223474065799033541
Found probable prime factor of 35 digits: 27898766071870889223474065799033541

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 17, 2013 13:00:00 UTC 2013 年 4 月 17 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 21, 2013 07:53:34 UTC 2013 年 4 月 21 日 (日) 16 時 53 分 34 秒 (日本時間)
4511e6600 / 4254Dmitry DomanovApril 26, 2013 16:18:07 UTC 2013 年 4 月 27 日 (土) 1 時 18 分 7 秒 (日本時間)

23×10244-419

c230

composite cofactor 合成数の残り
16177987492645994581550107741696811274344715263207780996832657157230769723434580653647167290739875370798954359218577892888558065954596538741884692578688411466854813313623036035051972006284133748254434897079100067823302111083702093<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 17, 2013 13:00:00 UTC 2013 年 4 月 17 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 21, 2013 07:53:43 UTC 2013 年 4 月 21 日 (日) 16 時 53 分 43 秒 (日本時間)
4511e6600 / 4254Dmitry DomanovApril 26, 2013 16:18:17 UTC 2013 年 4 月 27 日 (土) 1 時 18 分 17 秒 (日本時間)

23×10245-419

c229

composite cofactor 合成数の残り
5109085673961347923402372659537787686179384655785826699812290969832295734060880408884591697420863140752893932976579202476063890019879563878332009298762391960847234921993051958756845970587917322975046534959913446021328714849242729<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 17, 2013 13:00:00 UTC 2013 年 4 月 17 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 21, 2013 07:53:51 UTC 2013 年 4 月 21 日 (日) 16 時 53 分 51 秒 (日本時間)
4511e6600 / 4254Dmitry DomanovApril 26, 2013 16:18:27 UTC 2013 年 4 月 27 日 (土) 1 時 18 分 27 秒 (日本時間)

23×10246-419

c190

composite cofactor 合成数の残り
1103586345298594438994117690381297515129737943477258496722973333236721840727488145962980545196799078206813250605973826826604021953825705995875064232563912344614165792820986607186295607113031<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 17, 2013 13:00:00 UTC 2013 年 4 月 17 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 21, 2013 07:54:04 UTC 2013 年 4 月 21 日 (日) 16 時 54 分 4 秒 (日本時間)
4511e6600 / 4254Dmitry DomanovApril 26, 2013 16:18:39 UTC 2013 年 4 月 27 日 (土) 1 時 18 分 39 秒 (日本時間)

23×10247-419

c231

composite cofactor 合成数の残り
123549270990139120460002754463112063156106495306438417905251862636197119989579262266654855856327604271714481555040212734508939341909583360346920539145064622917407880091163149702723738412535369857534816538755053902804003000236892677<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 17, 2013 13:00:00 UTC 2013 年 4 月 17 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 21, 2013 07:54:13 UTC 2013 年 4 月 21 日 (日) 16 時 54 分 13 秒 (日本時間)
4511e6600 / 4254Dmitry DomanovApril 26, 2013 16:18:48 UTC 2013 年 4 月 27 日 (土) 1 時 18 分 48 秒 (日本時間)

23×10248-419

c232

composite cofactor 合成数の残り
6153882959154053143496351364419222170567582630689707838233361809307329710148584429484865317512139890301641466386801699107476417924052054277746804651546538352335031803630336962775068965867257415070616145198920987910043278054017414921<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 17, 2013 13:00:00 UTC 2013 年 4 月 17 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 21, 2013 07:54:22 UTC 2013 年 4 月 21 日 (日) 16 時 54 分 22 秒 (日本時間)
4511e6600 / 4254Dmitry DomanovApril 26, 2013 16:18:58 UTC 2013 年 4 月 27 日 (土) 1 時 18 分 58 秒 (日本時間)

23×10250-419

c222

composite cofactor 合成数の残り
150373225410428175815735220631842106468349982611935398437779311403328578484167882594415576247440473813772046103982344957382790830014987081611930650726667043522490594526506134892154796560788037287201533764364048594663263017<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 17, 2013 13:00:00 UTC 2013 年 4 月 17 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 21, 2013 07:54:32 UTC 2013 年 4 月 21 日 (日) 16 時 54 分 32 秒 (日本時間)
4511e6600Dmitry DomanovApril 26, 2013 16:19:08 UTC 2013 年 4 月 27 日 (土) 1 時 19 分 8 秒 (日本時間)
5043e61050 / 7380500Dmitry DomanovMay 2, 2013 19:51:18 UTC 2013 年 5 月 3 日 (金) 4 時 51 分 18 秒 (日本時間)
550Dmitry DomanovMay 8, 2013 15:59:19 UTC 2013 年 5 月 9 日 (木) 0 時 59 分 19 秒 (日本時間)

23×10253-419

c248

composite cofactor 合成数の残り
46860919439763446078668074124194883561821064227779927267778166927152255813351735412654200439636921596180712819782479761685738042163010394363161123529254762648424321958150754022755254993693131472791837072325346806458901649320995464474227614895334099<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)

23×10254-419

c187

composite cofactor 合成数の残り
7325090426756312853282447269669085469716524174140159225668610624346645648808618832873606712828815249249294811556087046932872357150626332447849628590883149135445455479596004627138054198453<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 8, 2017 10:14:43 UTC 2017 年 2 月 8 日 (水) 19 時 14 分 43 秒 (日本時間)
4511e6320 / 4218Dmitry DomanovFebruary 8, 2017 10:14:43 UTC 2017 年 2 月 8 日 (水) 19 時 14 分 43 秒 (日本時間)

23×10255-419

c217

composite cofactor 合成数の残り
8434834551257129354101627346792271362905611538068322993900061690182733036243317153016935188852335091797790176389196777470485073606724311366578591912839709143009145027070031273151489282660928034629194574610513961646867<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)

23×10256-419

c233

composite cofactor 合成数の残り
22000587344908786538041943016170724186142829624948694017177520581525439107982362913324686650428006824282092860068324092906732587918819009060850979949986992111707910740140575710311109129100109447384705880685284856433681502151411360399<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)

23×10258-419

c248

composite cofactor 合成数の残り
15116252974652532528343813741216535823304499983901431456200061994408257409419004820371109304068632015435138207377855886200957782185927982973860866763041156018801045725644859842733269550479912549868501647963011979721200304060040178447164912126981693<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)

23×10259-419

c251

composite cofactor 合成数の残り
16584488180665857427142742838959278190517413312651161350023811968471241345197275963522488334114627489927446615909239221776084996761770162487113502065910548397667743242011012848184485547712513864631217705777425077342407786106623833525436038690853230703<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)

23×10262-419

c218

composite cofactor 合成数の残り
15553375208701466910324594087065785698822189842086524305576657658093894730561098770919307180737823791193155540909748165394039629469523041550364420912227567961057405426649933818715972207566128040988554589894257039264157<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e62104Serge BatalovMarch 22, 2016 02:26:09 UTC 2016 年 3 月 22 日 (火) 11 時 26 分 9 秒 (日本時間)

23×10263-419

c219

composite cofactor 合成数の残り
656788748296603749274290715494902539428926109980645112926176399694148533364592195781026565802307349274698607127674813674958856205335235589163801728466332325371534181908742112924822940444332689715578788874527236436446081<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)

23×10264-419

c227

composite cofactor 合成数の残り
88741689051681941418903296423023929536860165251996781895751742585228487275278806501778999538996520563166262935750702508428588388491766365280466389323691396150535619355112719470980229727174316904420842266004622659717078222319753<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)

23×10265-419

c202

composite cofactor 合成数の残り
5398065214743298565899906462358263801113078309754906512121808903535235389802432653919350005204889239678000016851990576877616530235811185161236467991178455003439349583550098481306980211673101044499467669<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e62104Serge BatalovMarch 22, 2016 06:03:33 UTC 2016 年 3 月 22 日 (火) 15 時 3 分 33 秒 (日本時間)

23×10266-419

c260

composite cofactor 合成数の残り
66886070426204729362819155972819943774405963724892241451385851752375785951313745660366318722420219531133880874338202319370458999260501789187843450883857253377026804243752499321615300927264859038624408280018592001106470090250538062085453585414718791621129612089<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)

23×10268-419

c254

composite cofactor 合成数の残り
13192041249729458924278221479803512275399728092487345692005214705437479741945077050606437538408947964495134063271263289394557740491470150741007647095767092572672560048727946090528188562525398555458104767566914968302275572150691584218163861243326872228279<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)

23×10269-419

c237

composite cofactor 合成数の残り
419243265125589424789196925618299654661840135221353996314227881260371104209782080803441157150710879387314523770777893539694068163531506943119230011878574834766753006388303943787429587540798585825946964857167297283922004545284305330468321<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)

23×10270-419

c269

composite cofactor 合成数の残り
35993740219092331768388106416275430359937402190923317683881064162754303599374021909233176838810641627543035993740219092331768388106416275430359937402190923317683881064162754303599374021909233176838810641627543035993740219092331768388106416275430359937402190923317683881<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)

23×10271-419

c234

composite cofactor 合成数の残り
313411751842514071626342305116482466632179630447788132452437889382230326987618069603367266486795802470056836517047819543559200893386759778943415942088029723975114182577551391403705919402697082086777647692862501372992407794921513907309<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e62104Serge BatalovMarch 22, 2016 06:21:34 UTC 2016 年 3 月 22 日 (火) 15 時 21 分 34 秒 (日本時間)

23×10272-419

c239

composite cofactor 合成数の残り
70893424093428315141319549649370753077597959309023968558950359760600304885101884815076570449583064071955958997244280043796473783087094682812957351546350885462664324122569881042767765871333610024702927850683337048995236921848839453742372217<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)

23×10273-419

c246

composite cofactor 合成数の残り
150808219037087369418016063591397791394191396328767810837474706145498173421231157701080035742938726345331666214461783444130244099999951327704045076942453965415848580816701139898541985964612325174478156536966446859781468227027984829350199229853563<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)

23×10274-419

c256

composite cofactor 合成数の残り
5090954258759638101346073859411124693343855854445138220663539620875302868887302050272772710426712561079587425926548327312730025432623644585571897795763964809721923082269556100320394281183108800133798608923961054493135074891420580893310961277569103035856947<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)

23×10275-419

c183

composite cofactor 合成数の残り
815555697632085744012062896682528134556436185671337754595124548790011092557678480751667553338419335300404641300994857312127842325334469002595767392635622348666719205697382376124393167<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMarch 14, 2016 14:10:20 UTC 2016 年 3 月 14 日 (月) 23 時 10 分 20 秒 (日本時間)
4511e61200Dmitry DomanovMarch 16, 2016 13:37:37 UTC 2016 年 3 月 16 日 (水) 22 時 37 分 37 秒 (日本時間)
5043e6600 / 6944Dmitry DomanovMarch 18, 2016 06:13:31 UTC 2016 年 3 月 18 日 (金) 15 時 13 分 31 秒 (日本時間)
5511e7120 / 17470Dmitry DomanovMarch 24, 2016 13:53:35 UTC 2016 年 3 月 24 日 (木) 22 時 53 分 35 秒 (日本時間)

23×10276-419

c240

composite cofactor 合成数の残り
369902530824842655554310020406771545348764652517514436446775020178072203915509247628476368557454006068984486925563396927881254991975705673555883994497193525915831922927502426617137842821765788363568699714060678400137347946635128561724081027<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)

23×10277-419

c233

composite cofactor 合成数の残り
12123558586462555693718800429473414807593456498346788646410011300846983674605586102459146630664482114025676667670823379716047608789565796865990012848866337747806164152572839842432592212584580551765128599757377837554003633535759826219<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)

23×10278-419

c195

composite cofactor 合成数の残り
730360344586543104724906336375668606738154705039768262560763481810764412797873687952889636529654265132487824708381054018017119683451159858693355996740091534647110867872909960019683617089457602673<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 8, 2017 10:15:17 UTC 2017 年 2 月 8 日 (水) 19 時 15 分 17 秒 (日本時間)
4511e6320 / 4218Dmitry DomanovFebruary 8, 2017 10:15:17 UTC 2017 年 2 月 8 日 (水) 19 時 15 分 17 秒 (日本時間)

23×10279-419

c278

composite cofactor 合成数の残り
41894353369763205828779599271402550091074681238615664845173041894353369763205828779599271402550091074681238615664845173041894353369763205828779599271402550091074681238615664845173041894353369763205828779599271402550091074681238615664845173041894353369763205828779599271402550091<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)

23×10280-419

c207

composite cofactor 合成数の残り
733089282784365423430669372172492335933433884888241913714527660459977878861960260070009877580134386588514047023686048379059943263011854814870948963292664764372540626290335619308659915990482705070615833013041<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)

23×10281-419

c272

composite cofactor 合成数の残り
71068848921313848508521408871403426947144008343749093450204962778130540832691024432348576415226067658048267526132612340454296995335529988581033402232583164927453372780273436265921062187936284624235708808684633212742650630814081677550797071499351038313168219361527830544969<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)

23×10282-419

c277

composite cofactor 合成数の残り
7326896495481694067666756182228198421276797725731327802482161396238881036367210035681985932995850109537102607451326311618004924311566398088125999683350647108312873771271493689790033445689698287959137579683981397328358689173618457917651417483695266092174269277462880508830662361<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)

23×10283-419

c237

composite cofactor 合成数の残り
101424847088330868980587104562985582018800514416394137555394038787582659297024430447531826484202191345119201051654477156661875049249509579588905811105307859152545882426366522557953647459788987620872883494277175032551367963522879974997387<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)

23×10285-419

c262

composite cofactor 合成数の残り
1996848258854830697392787411303872408917126694179025949633882045941832173991898180843159175291636430321591599797800762496113496508101808805437387493028320875482733528918886825001019762790225970338051073153109790772528705140487787072482364604758157307081125956367<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)

23×10287-419

c227

composite cofactor 合成数の残り
10891510053564620986984198340495299730304470000727109477181804761761154305283823775347944016412587886135195829810625441368860957400177535665545625359211797602080772968279481061116168787503943479438348628053436468827677670660989<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)

23×10288-419

c203

composite cofactor 合成数の残り
28641985118771076256101650357486087460167936867559650175153361879208214831093903729464994462440380831362226711343320810892375210346863675925085060055798237738628074977877813539521178537234299823018797697<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)

23×10289-419

c249

composite cofactor 合成数の残り
239886086556695798207643946072860897340073874961590831331997883612500678583876906528776878321808057238820036820317526065104506563639488085052651188748083145069886241029288278988617602894798913437031881570002656778207914160056450888377214239510268963<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)

23×10290-419

c278

composite cofactor 合成数の残り
21352390817733663976530360467585005911739160453476437051434304035885056725884256245795094888645508147658974449544822456995653476963332819640912948367801341771160281231844060022939687126592015459540520454192660971740440094298529551956204969867183244115489222112845040386858171083<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)

23×10291-419

c286

composite cofactor 合成数の残り
5640494038610898366390306982661857041923830278024855940556059521435961877126987385157702082347779619521700819858070455656275159975446684211055515459000107169386733607068961415832670575283796552775282472262870565130907283275665412760317996339564607812770912315577303338657469228039533487<286>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)

23×10292-419

c232

composite cofactor 合成数の残り
6284685606454353476188248153327001615288920283751425211585967315959525441787651671713776992686907235689569738498566726184995971746883047539888466923714165409753402645115886629031329466589207560237785202173520551016150275584177857851<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)

23×10295-419

c260

composite cofactor 合成数の残り
12185099151564470814815733998182930401232156497816338903577531262136072101378281580163975276967855795978686024798738238459848837356100660349103410555190007187561740209066510647865341426859626275409401912243224890697269177179098634264225812114905026043898347239<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)

23×10297-419

c259

composite cofactor 合成数の残り
3036418185166722308977598994037737817404253302078986400016589554125285458742538234852452085222774761198427266148915916453275019945345353114057814042973367283829782638380312043918102678119811214913840234210550951756680947579317972842342303822441489684350572627<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)

23×10300-419

c247

composite cofactor 合成数の残り
6062579121629400524429096176181512514979335860308943124745253968757957953732436182494537888225151465542589103715820439650167528973279960757327336416971869929525743703299678603114755701291736319836916886132326319078275988306116864076265189718582903<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMarch 14, 2016 14:14:13 UTC 2016 年 3 月 14 日 (月) 23 時 14 分 13 秒 (日本時間)
4511e61200Dmitry DomanovMarch 15, 2016 14:04:02 UTC 2016 年 3 月 15 日 (火) 23 時 4 分 2 秒 (日本時間)
5043e6600 / 6944Dmitry DomanovMarch 22, 2016 15:09:12 UTC 2016 年 3 月 23 日 (水) 0 時 9 分 12 秒 (日本時間)
5511e7120 / 17470Dmitry DomanovMarch 24, 2016 13:58:44 UTC 2016 年 3 月 24 日 (木) 22 時 58 分 44 秒 (日本時間)