Table of contents 目次

22×10112-139

c99

name 名前Sinkiti Sibata
date 日付July 2, 2008 02:37:01 UTC 2008 年 7 月 2 日 (水) 11 時 37 分 1 秒 (日本時間)
composite number 合成数
537654780450380973069393496111123321611416061591593186743289377877472784652282513278331113448767121<99>
prime factors 素因数
13701829988800447487541383114549<32>
39239633019081925818391162394055049075239789099796401438595560894829<68>
factorization results 素因数分解の結果
Tue Jul  1 20:15:56 2008  Msieve v. 1.36
Tue Jul  1 20:15:56 2008  random seeds: 85f03703 ba89e7ee
Tue Jul  1 20:15:56 2008  factoring 537654780450380973069393496111123321611416061591593186743289377877472784652282513278331113448767121 (99 digits)
Tue Jul  1 20:15:58 2008  no P-1/P+1/ECM available, skipping
Tue Jul  1 20:15:58 2008  commencing quadratic sieve (99-digit input)
Tue Jul  1 20:15:58 2008  using multiplier of 1
Tue Jul  1 20:15:58 2008  using 64kb Pentium 4 sieve core
Tue Jul  1 20:15:58 2008  sieve interval: 18 blocks of size 65536
Tue Jul  1 20:15:58 2008  processing polynomials in batches of 6
Tue Jul  1 20:15:58 2008  using a sieve bound of 2608889 (95294 primes)
Tue Jul  1 20:15:58 2008  using large prime bound of 391333350 (28 bits)
Tue Jul  1 20:15:58 2008  using double large prime bound of 2928089178039000 (43-52 bits)
Tue Jul  1 20:15:58 2008  using trial factoring cutoff of 52 bits
Tue Jul  1 20:15:58 2008  polynomial 'A' values have 13 factors
Wed Jul  2 11:21:29 2008  95448 relations (22485 full + 72963 combined from 1440354 partial), need 95390
Wed Jul  2 11:21:34 2008  begin with 1462839 relations
Wed Jul  2 11:21:36 2008  reduce to 252560 relations in 11 passes
Wed Jul  2 11:21:36 2008  attempting to read 252560 relations
Wed Jul  2 11:21:45 2008  recovered 252560 relations
Wed Jul  2 11:21:45 2008  recovered 242733 polynomials
Wed Jul  2 11:21:45 2008  attempting to build 95448 cycles
Wed Jul  2 11:21:45 2008  found 95448 cycles in 5 passes
Wed Jul  2 11:21:45 2008  distribution of cycle lengths:
Wed Jul  2 11:21:45 2008     length 1 : 22485
Wed Jul  2 11:21:45 2008     length 2 : 16133
Wed Jul  2 11:21:45 2008     length 3 : 16027
Wed Jul  2 11:21:45 2008     length 4 : 13262
Wed Jul  2 11:21:45 2008     length 5 : 10160
Wed Jul  2 11:21:45 2008     length 6 : 6709
Wed Jul  2 11:21:45 2008     length 7 : 4445
Wed Jul  2 11:21:45 2008     length 9+: 6227
Wed Jul  2 11:21:45 2008  largest cycle: 20 relations
Wed Jul  2 11:21:46 2008  matrix is 95294 x 95448 (25.3 MB) with weight 6255327 (65.54/col)
Wed Jul  2 11:21:46 2008  sparse part has weight 6255327 (65.54/col)
Wed Jul  2 11:21:48 2008  filtering completed in 3 passes
Wed Jul  2 11:21:48 2008  matrix is 91505 x 91569 (24.4 MB) with weight 6039314 (65.95/col)
Wed Jul  2 11:21:48 2008  sparse part has weight 6039314 (65.95/col)
Wed Jul  2 11:21:48 2008  saving the first 48 matrix rows for later
Wed Jul  2 11:21:49 2008  matrix is 91457 x 91569 (14.3 MB) with weight 4638240 (50.65/col)
Wed Jul  2 11:21:49 2008  sparse part has weight 3191337 (34.85/col)
Wed Jul  2 11:21:49 2008  matrix includes 64 packed rows
Wed Jul  2 11:21:49 2008  using block size 21845 for processor cache size 512 kB
Wed Jul  2 11:21:49 2008  commencing Lanczos iteration
Wed Jul  2 11:21:49 2008  memory use: 14.5 MB
Wed Jul  2 11:23:17 2008  lanczos halted after 1447 iterations (dim = 91455)
Wed Jul  2 11:23:17 2008  recovered 15 nontrivial dependencies
Wed Jul  2 11:23:19 2008  prp32 factor: 13701829988800447487541383114549
Wed Jul  2 11:23:19 2008  prp68 factor: 39239633019081925818391162394055049075239789099796401438595560894829
Wed Jul  2 11:23:19 2008  elapsed time 15:07:23
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

22×10114-139

c115

name 名前Robert Backstrom
date 日付July 1, 2008 13:10:21 UTC 2008 年 7 月 1 日 (火) 22 時 10 分 21 秒 (日本時間)
composite number 合成数
2444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<115>
prime factors 素因数
33598656294760900291371699381269381784370549<44>
72754232282366932679878294542235391018639436852035736262753056974819407<71>
factorization results 素因数分解の結果
Number: n
N=2444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443
  ( 115 digits)
SNFS difficulty: 116 digits.
Divisors found:

Tue Jul 01 23:04:53 2008  prp44 factor: 33598656294760900291371699381269381784370549
Tue Jul 01 23:04:53 2008  prp71 factor: 72754232282366932679878294542235391018639436852035736262753056974819407
Tue Jul 01 23:04:53 2008  elapsed time 00:04:17 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.76 hours.
Scaled time: 1.38 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_2_4_113_3
n: 2444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443
skew: 1.43
deg: 5
c5: 11
c0: -65
m: 100000000000000000000000
type: snfs
rlim: 500000
alim: 500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 180347)
Primes: RFBsize:41538, AFBsize:41593, largePrimes:3591138 encountered
Relations: rels:2958004, finalFF:89757
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 0.71 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,500000,500000,28,28,48,48,2.5,2.5,50000
total time: 0.76 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

22×10116-139

c93

name 名前Robert Backstrom
date 日付July 1, 2008 13:17:18 UTC 2008 年 7 月 1 日 (火) 22 時 17 分 18 秒 (日本時間)
composite number 合成数
294786829666870480000441341655921667461151477270136085258399731059313122304735247508029592729<93>
prime factors 素因数
52216810517743850150033554179233611101121<41>
5645439212850785908811753527171750497376343817221849<52>
factorization results 素因数分解の結果
Number: n
N=294786829666870480000441341655921667461151477270136085258399731059313122304735247508029592729
  ( 93 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=52216810517743850150033554179233611101121 (pp41)
 r2=5645439212850785908811753527171750497376343817221849 (pp52)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.87 hours.
Scaled time: 1.58 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_2_4_115_3
n: 294786829666870480000441341655921667461151477270136085258399731059313122304735247508029592729
skew: 0.57
deg: 5
c5: 220
c0: -13
m: 100000000000000000000000
type: snfs
rlim: 500000
alim: 500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 200001)
Primes: RFBsize:41538, AFBsize:41738, largePrimes:3695260 encountered
Relations: rels:3062905, finalFF:93831
Max relations in full relation-set: 48
Initial matrix: 83343 x 93831 with sparse part having weight 8682819.
Pruned matrix : 80055 x 80535 with weight 5877569.
Total sieving time: 0.77 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.03 hours.
Total square root time: 0.02 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,117,5,0,0,0,0,0,0,0,0,500000,500000,28,28,48,48,2.5,2.5,50000
total time: 0.87 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

22×10117-139

c109

name 名前Sinkiti Sibata
date 日付July 1, 2008 11:08:57 UTC 2008 年 7 月 1 日 (火) 20 時 8 分 57 秒 (日本時間)
composite number 合成数
7769556587460737839239858142009053023060286573645996521722787955598485746053241569530231076455526632003828247<109>
prime factors 素因数
4229313234714843164288246278132448514515779114889059<52>
1837072866508690204598997309979916246707045110648608172733<58>
factorization results 素因数分解の結果
Number: 24443_117
N=7769556587460737839239858142009053023060286573645996521722787955598485746053241569530231076455526632003828247
  ( 109 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=4229313234714843164288246278132448514515779114889059 (pp52)
 r2=1837072866508690204598997309979916246707045110648608172733 (pp58)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 2.31 hours.
Scaled time: 1.56 units (timescale=0.677).
Factorization parameters were as follows:
name: 24443_117
n: 7769556587460737839239858142009053023060286573645996521722787955598485746053241569530231076455526632003828247
m: 100000000000000000000000
c5: 2200
c0: -13
skew: 0.36
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:64029, largePrimes:1982637 encountered
Relations: rels:1949806, finalFF:139200
Max relations in full relation-set: 28
Initial matrix: 113194 x 139200 with sparse part having weight 11012584.
Pruned matrix : 103684 x 104313 with weight 6438928.
Total sieving time: 2.02 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,118,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.31 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

22×10121-139

c90

name 名前Robert Backstrom
date 日付July 1, 2008 07:52:50 UTC 2008 年 7 月 1 日 (火) 16 時 52 分 50 秒 (日本時間)
composite number 合成数
111564955597184317613204060699933258741058763753997905618182893610465770201408035918536847<90>
prime factors 素因数
106291118910715568757506518867309<33>
1049616908171780243294136059455718184430708493672261067883<58>
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 111564955597184317613204060699933258741058763753997905618182893610465770201408035918536847 (90 digits)
Using B1=552000, B2=522330282, polynomial Dickson(3), sigma=3035088369
Step 1 took 3390ms
********** Factor found in step 1: 106291118910715568757506518867309
Found probable prime factor of 33 digits: 106291118910715568757506518867309
Probable prime cofactor 1049616908171780243294136059455718184430708493672261067883 has 58 digits

22×10129-139

c103

name 名前Sinkiti Sibata
date 日付July 1, 2008 10:59:51 UTC 2008 年 7 月 1 日 (火) 19 時 59 分 51 秒 (日本時間)
composite number 合成数
1028492110074749967929747272840552481537648574781359688266748220360933344058801859376100555290010254549<103>
prime factors 素因数
250682305473299306497685825723691855583<39>
4102771067678316053775037080369167598169783113856398411976486603<64>
factorization results 素因数分解の結果
Number: 24443_129
N=1028492110074749967929747272840552481537648574781359688266748220360933344058801859376100555290010254549
  ( 103 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=250682305473299306497685825723691855583 (pp39)
 r2=4102771067678316053775037080369167598169783113856398411976486603 (pp64)
Version: GGNFS-0.77.1-20060513-k8
Total time: 4.48 hours.
Scaled time: 8.96 units (timescale=2.000).
Factorization parameters were as follows:
name: 24443_129
n: 1028492110074749967929747272840552481537648574781359688266748220360933344058801859376100555290010254549
m: 100000000000000000000000000
c5: 11
c0: -65
skew: 1.43
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, 950001)
Primes: RFBsize:63951, AFBsize:63789, largePrimes:1469819 encountered
Relations: rels:1461589, finalFF:164980
Max relations in full relation-set: 28
Initial matrix: 127805 x 164980 with sparse part having weight 11368937.
Pruned matrix : 116430 x 117133 with weight 6330418.
Total sieving time: 4.32 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.05 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: 4.48 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

22×10132-139

c128

name 名前Sinkiti Sibata
date 日付July 2, 2008 01:13:49 UTC 2008 年 7 月 2 日 (水) 10 時 13 分 49 秒 (日本時間)
composite number 合成数
57888186336809255794739016374462889725636309575495404467389216483397931286722818207413371644787563512549895669700533886954897209<128>
prime factors 素因数
42883627663814341521903001082675283462854504182949003<53>
1349890144337203998734326849512015502391489910957629428484329332974286483403<76>
factorization results 素因数分解の結果
Number: 24443_132
N=57888186336809255794739016374462889725636309575495404467389216483397931286722818207413371644787563512549895669700533886954897209
  ( 128 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=42883627663814341521903001082675283462854504182949003 (pp53)
 r2=1349890144337203998734326849512015502391489910957629428484329332974286483403 (pp76)
Version: GGNFS-0.77.1-20060513-k8
Total time: 7.09 hours.
Scaled time: 14.15 units (timescale=1.997).
Factorization parameters were as follows:
name: 24443_132
n: 57888186336809255794739016374462889725636309575495404467389216483397931286722818207413371644787563512549895669700533886954897209
m: 100000000000000000000000000
c5: 2200
c0: -13
skew: 0.36
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, 1350001)
Primes: RFBsize:63951, AFBsize:64029, largePrimes:1557327 encountered
Relations: rels:1558691, finalFF:156948
Max relations in full relation-set: 28
Initial matrix: 128047 x 156948 with sparse part having weight 15590982.
Pruned matrix : 121238 x 121942 with weight 10526521.
Total sieving time: 6.87 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,133,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 7.09 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

22×10137-139

c136

name 名前Sinkiti Sibata
date 日付July 1, 2008 20:57:35 UTC 2008 年 7 月 2 日 (水) 5 時 57 分 35 秒 (日本時間)
composite number 合成数
9053497942386831275720164609053497942386831275720164609053497942386831275720164609053497942386831275720164609053497942386831275720164609<136>
prime factors 素因数
58473762489790941516005057792881835042331950647437243978542293<62>
154830090572117720754725648814565048360015424986244247352985425052957023613<75>
factorization results 素因数分解の結果
Number: 24443_137
N=9053497942386831275720164609053497942386831275720164609053497942386831275720164609053497942386831275720164609053497942386831275720164609
  ( 136 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=58473762489790941516005057792881835042331950647437243978542293 (pp62)
 r2=154830090572117720754725648814565048360015424986244247352985425052957023613 (pp75)
Version: GGNFS-0.77.1-20060513-k8
Total time: 12.92 hours.
Scaled time: 25.85 units (timescale=2.000).
Factorization parameters were as follows:
name: 24443_137
n: 9053497942386831275720164609053497942386831275720164609053497942386831275720164609053497942386831275720164609053497942386831275720164609
m: 1000000000000000000000000000
c5: 2200
c0: -13
skew: 0.36
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, 2125001)
Primes: RFBsize:78498, AFBsize:64029, largePrimes:1671959 encountered
Relations: rels:1698646, finalFF:166229
Max relations in full relation-set: 28
Initial matrix: 142594 x 166229 with sparse part having weight 18916119.
Pruned matrix : 136939 x 137715 with weight 14393055.
Total sieving time: 12.59 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,138,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 12.92 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

22×10139-139

c132

name 名前Sinkiti Sibata
date 日付July 2, 2008 07:14:09 UTC 2008 年 7 月 2 日 (水) 16 時 14 分 9 秒 (日本時間)
composite number 合成数
971606174223357976843188915513989536799608138864038956885201254815241556023578249678947093000919656158644315431926796046363121087157<132>
prime factors 素因数
153134131586673253525316680340706127<36>
6344804807107506932431402272201079387020389960080550065808574943830533716609237345358028267464891<97>
factorization results 素因数分解の結果
Number: 24443_139
N=971606174223357976843188915513989536799608138864038956885201254815241556023578249678947093000919656158644315431926796046363121087157
  ( 132 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=153134131586673253525316680340706127 (pp36)
 r2=6344804807107506932431402272201079387020389960080550065808574943830533716609237345358028267464891 (pp97)
Version: GGNFS-0.77.1-20060513-k8
Total time: 10.28 hours.
Scaled time: 20.44 units (timescale=1.989).
Factorization parameters were as follows:
name: 24443_139
n: 971606174223357976843188915513989536799608138864038956885201254815241556023578249678947093000919656158644315431926796046363121087157
m: 10000000000000000000000000000
c5: 11
c0: -65
skew: 1.43
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 1750001)
Primes: RFBsize:100021, AFBsize:100099, largePrimes:2766896 encountered
Relations: rels:2782205, finalFF:298407
Max relations in full relation-set: 28
Initial matrix: 200185 x 298407 with sparse part having weight 27881999.
Pruned matrix : 171496 x 172560 with weight 14209059.
Total sieving time: 9.82 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.30 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 10.28 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

22×10140-139

c133

name 名前Sinkiti Sibata
date 日付July 2, 2008 01:53:04 UTC 2008 年 7 月 2 日 (水) 10 時 53 分 4 秒 (日本時間)
composite number 合成数
1026312580000278382622267893691839096428582576392001269257561892198825798856159421503277011169630847965293347960097640523846231211821<133>
prime factors 素因数
30903737715270715377221878457373280830821<41>
33209982218207158692180677111290215531825231303595299136370285580176392535478664638944361001<92>
factorization results 素因数分解の結果
Number: 24443_140
N=1026312580000278382622267893691839096428582576392001269257561892198825798856159421503277011169630847965293347960097640523846231211821
  ( 133 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=30903737715270715377221878457373280830821 (pp41)
 r2=33209982218207158692180677111290215531825231303595299136370285580176392535478664638944361001 (pp92)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 10.16 hours.
Scaled time: 10.22 units (timescale=1.006).
Factorization parameters were as follows:
name: 24443_140
n: 1026312580000278382622267893691839096428582576392001269257561892198825798856159421503277011169630847965293347960097640523846231211821
m: 10000000000000000000000000000
c5: 22
c0: -13
skew: 0.9
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 1950001)
Primes: RFBsize:100021, AFBsize:100234, largePrimes:2776498 encountered
Relations: rels:2775252, finalFF:272961
Max relations in full relation-set: 28
Initial matrix: 200321 x 272961 with sparse part having weight 27976184.
Pruned matrix : 179707 x 180772 with weight 16440918.
Total sieving time: 9.91 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 10.16 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

22×10147-139

c147

name 名前Robert Backstrom
date 日付July 2, 2008 04:52:53 UTC 2008 年 7 月 2 日 (水) 13 時 52 分 53 秒 (日本時間)
composite number 合成数
349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349<147>
prime factors 素因数
2021712041728844821895966127264309751829<40>
172728035446496740787707614044367729343826209385361445373501288263149880818963169788976312580236715350305881<108>
factorization results 素因数分解の結果
Number: n
N=349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349
  ( 147 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=2021712041728844821895966127264309751829 (pp40)
 r2=172728035446496740787707614044367729343826209385361445373501288263149880818963169788976312580236715350305881 (pp108)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 10.68 hours.
Scaled time: 19.54 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_2_4_146_3
n: 349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349
skew: 0.36
deg: 5
c5: 2200
c0: -13
m: 100000000000000000000000000000
type: snfs
rlim: 1500000
alim: 1500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 2050001)
Primes: RFBsize:114155, AFBsize:114288, largePrimes:7233951 encountered
Relations: rels:6609013, finalFF:269764
Max relations in full relation-set: 48
Initial matrix: 228510 x 269764 with sparse part having weight 44600679.
Pruned matrix : 220578 x 221784 with weight 32514856.
Total sieving time: 9.77 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 0.67 hours.
Total square root time: 0.04 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,1500000,1500000,28,28,48,48,2.5,2.5,100000
total time: 10.68 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

22×10149-139

c148

name 名前Robert Backstrom
date 日付July 2, 2008 05:00:37 UTC 2008 年 7 月 2 日 (水) 14 時 0 分 37 秒 (日本時間)
composite number 合成数
4793028322440087145969498910675381263616557734204793028322440087145969498910675381263616557734204793028322440087145969498910675381263616557734204793<148>
prime factors 素因数
69002924247755090799484487397373660603707328555480983703141<59>
69461234791017154769799796429709791557515126520850419394325840918738250512555886792605573<89>
factorization results 素因数分解の結果
Number: n
N=4793028322440087145969498910675381263616557734204793028322440087145969498910675381263616557734204793028322440087145969498910675381263616557734204793
  ( 148 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=69002924247755090799484487397373660603707328555480983703141 (pp59)
 r2=69461234791017154769799796429709791557515126520850419394325840918738250512555886792605573 (pp89)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 11.78 hours.
Scaled time: 21.54 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_2_4_148_3
n: 4793028322440087145969498910675381263616557734204793028322440087145969498910675381263616557734204793028322440087145969498910675381263616557734204793
skew: 1.43
deg: 5
c5: 11
c0: -65
m: 1000000000000000000000000000000
type: snfs
rlim: 1800000
alim: 1800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 800001)
Primes: RFBsize:135072, AFBsize:135314, largePrimes:6328487 encountered
Relations: rels:5664046, finalFF:311042
Max relations in full relation-set: 48
Initial matrix: 270451 x 311042 with sparse part having weight 32188544.
Pruned matrix : 249681 x 251097 with weight 20817556.
Total sieving time: 10.90 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.49 hours.
Total square root time: 0.26 hours, sqrts: 7.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,1800000,1800000,28,28,48,48,2.5,2.5,100000
total time: 11.78 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

22×10154-139

c147

name 名前Sinkiti Sibata
date 日付July 2, 2008 11:45:57 UTC 2008 年 7 月 2 日 (水) 20 時 45 分 57 秒 (日本時間)
composite number 合成数
453035622539013970891682854298717155295753628948673158226457545176192318250968172647477185573936425721132888801189429376654675287366209803099042481<147>
prime factors 素因数
2146985142350986093864164662530779984526223381689<49>
211010133979284123150461874857456724663907315722703385915179202631648184177974032185559336543961529<99>
factorization results 素因数分解の結果
Number: 24443_154
N=453035622539013970891682854298717155295753628948673158226457545176192318250968172647477185573936425721132888801189429376654675287366209803099042481
  ( 147 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=2146985142350986093864164662530779984526223381689 (pp49)
 r2=211010133979284123150461874857456724663907315722703385915179202631648184177974032185559336543961529 (pp99)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 33.25 hours.
Scaled time: 33.45 units (timescale=1.006).
Factorization parameters were as follows:
name: 24443_154
n: 453035622539013970891682854298717155295753628948673158226457545176192318250968172647477185573936425721132888801189429376654675287366209803099042481
m: 10000000000000000000000000000000
c5: 11
c0: -65
skew: 1.43
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, 2800001)
Primes: RFBsize:216816, AFBsize:217057, largePrimes:5707407 encountered
Relations: rels:5715253, finalFF:588373
Max relations in full relation-set: 28
Initial matrix: 433938 x 588373 with sparse part having weight 48008079.
Pruned matrix : 348032 x 350265 with weight 29877041.
Total sieving time: 32.22 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.88 hours.
Time per square root: 0.07 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: 33.25 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

22×10155-139

c105

name 名前Sinkiti Sibata
date 日付July 5, 2008 04:50:04 UTC 2008 年 7 月 5 日 (土) 13 時 50 分 4 秒 (日本時間)
composite number 合成数
512865009837325022345519467664391330612010588131901538421543902669711759984610894342811574933034249131191<105>
prime factors 素因数
482708719167218258004205150027333793774609359<45>
1062473059782581072690917238909162188127886673467946816631449<61>
factorization results 素因数分解の結果
Wed Jul  2 12:30:04 2008  Msieve v. 1.36
Wed Jul  2 12:30:04 2008  random seeds: df1e72e0 8972023e
Wed Jul  2 12:30:04 2008  factoring 512865009837325022345519467664391330612010588131901538421543902669711759984610894342811574933034249131191 (105 digits)
Wed Jul  2 12:30:05 2008  no P-1/P+1/ECM available, skipping
Wed Jul  2 12:30:05 2008  commencing quadratic sieve (105-digit input)
Wed Jul  2 12:30:06 2008  using multiplier of 7
Wed Jul  2 12:30:06 2008  using 64kb Pentium 4 sieve core
Wed Jul  2 12:30:06 2008  sieve interval: 18 blocks of size 65536
Wed Jul  2 12:30:06 2008  processing polynomials in batches of 6
Wed Jul  2 12:30:06 2008  using a sieve bound of 3948821 (140000 primes)
Wed Jul  2 12:30:06 2008  using large prime bound of 592323150 (29 bits)
Wed Jul  2 12:30:06 2008  using double large prime bound of 6174554804868150 (44-53 bits)
Wed Jul  2 12:30:06 2008  using trial factoring cutoff of 53 bits
Wed Jul  2 12:30:06 2008  polynomial 'A' values have 14 factors
Sat Jul  5 13:38:29 2008  140161 relations (33632 full + 106529 combined from 2089225 partial), need 140096
Sat Jul  5 13:38:38 2008  begin with 2122857 relations
Sat Jul  5 13:38:40 2008  reduce to 368943 relations in 10 passes
Sat Jul  5 13:38:40 2008  attempting to read 368943 relations
Sat Jul  5 13:38:55 2008  recovered 368943 relations
Sat Jul  5 13:38:55 2008  recovered 361714 polynomials
Sat Jul  5 13:38:55 2008  attempting to build 140161 cycles
Sat Jul  5 13:38:56 2008  found 140160 cycles in 5 passes
Sat Jul  5 13:38:56 2008  distribution of cycle lengths:
Sat Jul  5 13:38:56 2008     length 1 : 33632
Sat Jul  5 13:38:56 2008     length 2 : 23929
Sat Jul  5 13:38:56 2008     length 3 : 23141
Sat Jul  5 13:38:56 2008     length 4 : 19244
Sat Jul  5 13:38:56 2008     length 5 : 14585
Sat Jul  5 13:38:56 2008     length 6 : 10068
Sat Jul  5 13:38:56 2008     length 7 : 6438
Sat Jul  5 13:38:56 2008     length 9+: 9123
Sat Jul  5 13:38:56 2008  largest cycle: 19 relations
Sat Jul  5 13:38:56 2008  matrix is 140000 x 140160 (39.1 MB) with weight 9682174 (69.08/col)
Sat Jul  5 13:38:56 2008  sparse part has weight 9682174 (69.08/col)
Sat Jul  5 13:39:00 2008  filtering completed in 3 passes
Sat Jul  5 13:39:00 2008  matrix is 134452 x 134516 (37.7 MB) with weight 9352275 (69.53/col)
Sat Jul  5 13:39:00 2008  sparse part has weight 9352275 (69.53/col)
Sat Jul  5 13:39:01 2008  saving the first 48 matrix rows for later
Sat Jul  5 13:39:01 2008  matrix is 134404 x 134516 (22.0 MB) with weight 7251326 (53.91/col)
Sat Jul  5 13:39:01 2008  sparse part has weight 4967697 (36.93/col)
Sat Jul  5 13:39:01 2008  matrix includes 64 packed rows
Sat Jul  5 13:39:01 2008  using block size 21845 for processor cache size 512 kB
Sat Jul  5 13:39:03 2008  commencing Lanczos iteration
Sat Jul  5 13:39:03 2008  memory use: 22.2 MB
Sat Jul  5 13:42:22 2008  lanczos halted after 2127 iterations (dim = 134403)
Sat Jul  5 13:42:23 2008  recovered 17 nontrivial dependencies
Sat Jul  5 13:42:25 2008  prp45 factor: 482708719167218258004205150027333793774609359
Sat Jul  5 13:42:25 2008  prp61 factor: 1062473059782581072690917238909162188127886673467946816631449
Sat Jul  5 13:42:25 2008  elapsed time 73:12:21
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

22×10156-139

c148

name 名前Sinkiti Sibata
date 日付July 2, 2008 21:44:15 UTC 2008 年 7 月 3 日 (木) 6 時 44 分 15 秒 (日本時間)
composite number 合成数
1132767579496231949385886206437540984692756560598462115818360616266781568801922447745841285021267505089852851103858318504307705517077245584780435459<148>
prime factors 素因数
58736020814238558891405825208486913134774314421667326208192258974379<68>
19285739207270759069175268490680623206978396054095595843811679209703382453696521<80>
factorization results 素因数分解の結果
Number: 24443_156
N=1132767579496231949385886206437540984692756560598462115818360616266781568801922447745841285021267505089852851103858318504307705517077245584780435459
  ( 148 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=58736020814238558891405825208486913134774314421667326208192258974379 (pp68)
 r2=19285739207270759069175268490680623206978396054095595843811679209703382453696521 (pp80)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 32.99 hours.
Scaled time: 33.28 units (timescale=1.009).
Factorization parameters were as follows:
name: 24443_156
n: 1132767579496231949385886206437540984692756560598462115818360616266781568801922447745841285021267505089852851103858318504307705517077245584780435459
m: 10000000000000000000000000000000
c5: 220
c0: -13
skew: 0.57
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, 2800001)
Primes: RFBsize:216816, AFBsize:216882, largePrimes:5615042 encountered
Relations: rels:5551495, finalFF:527766
Max relations in full relation-set: 28
Initial matrix: 433765 x 527766 with sparse part having weight 43035221.
Pruned matrix : 385213 x 387445 with weight 28597768.
Total sieving time: 31.80 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.02 hours.
Time per square root: 0.07 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: 32.99 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

22×10157-139

c141

name 名前Sinkiti Sibata
date 日付July 3, 2008 14:12:04 UTC 2008 年 7 月 3 日 (木) 23 時 12 分 4 秒 (日本時間)
composite number 合成数
281701567009515337244234737436856874873686680115008093807195786046964542930044212193347083470278961240801256470701268719003298688370560608093<141>
prime factors 素因数
941115575237730669914918455345091326630972261040701955276054024800787<69>
299327281814835613590373614390897333859536305210099996132872751678060239<72>
factorization results 素因数分解の結果
Number: 24443_157
N=281701567009515337244234737436856874873686680115008093807195786046964542930044212193347083470278961240801256470701268719003298688370560608093
  ( 141 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=941115575237730669914918455345091326630972261040701955276054024800787 (pp69)
 r2=299327281814835613590373614390897333859536305210099996132872751678060239 (pp72)
Version: GGNFS-0.77.1-20060513-k8
Total time: 59.57 hours.
Scaled time: 118.90 units (timescale=1.996).
Factorization parameters were as follows:
name: 24443_157
n: 281701567009515337244234737436856874873686680115008093807195786046964542930044212193347083470278961240801256470701268719003298688370560608093
m: 10000000000000000000000000000000
c5: 2200
c0: -13
skew: 0.36
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3900001)
Primes: RFBsize:283146, AFBsize:283003, largePrimes:5890953 encountered
Relations: rels:6046569, finalFF:756840
Max relations in full relation-set: 28
Initial matrix: 566216 x 756840 with sparse part having weight 51799263.
Pruned matrix : 427261 x 430156 with weight 36328521.
Total sieving time: 56.77 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.41 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 59.57 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

22×10159-139

c147

name 名前Sinkiti Sibata
date 日付July 3, 2008 10:27:55 UTC 2008 年 7 月 3 日 (木) 19 時 27 分 55 秒 (日本時間)
composite number 合成数
169638436271207498618321778981267682748389403467968388237789976659448429627083605891836793599367968896683372273498374419202359611720013660705689229<147>
prime factors 素因数
35979740872329018517519746209133239737925977264625179<53>
4714832073781596621362448799071690079103424956069158006846652811186139395908205559836553336951<94>
factorization results 素因数分解の結果
Number: 24443_159
N=169638436271207498618321778981267682748389403467968388237789976659448429627083605891836793599367968896683372273498374419202359611720013660705689229
  ( 147 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=35979740872329018517519746209133239737925977264625179 (pp53)
 r2=4714832073781596621362448799071690079103424956069158006846652811186139395908205559836553336951 (pp94)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 44.04 hours.
Scaled time: 43.82 units (timescale=0.995).
Factorization parameters were as follows:
name: 24443_159
n: 169638436271207498618321778981267682748389403467968388237789976659448429627083605891836793599367968896683372273498374419202359611720013660705689229
m: 100000000000000000000000000000000
c5: 11
c0: -65
skew: 1.43
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3700001)
Primes: RFBsize:283146, AFBsize:283393, largePrimes:5721164 encountered
Relations: rels:5780761, finalFF:678838
Max relations in full relation-set: 28
Initial matrix: 566604 x 678838 with sparse part having weight 44595218.
Pruned matrix : 483941 x 486838 with weight 30357189.
Total sieving time: 42.29 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.58 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 44.04 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

22×10160-139

c142

name 名前Serge Batalov
date 日付July 3, 2008 19:21:03 UTC 2008 年 7 月 4 日 (金) 4 時 21 分 3 秒 (日本時間)
composite number 合成数
1000983063188897945929005355680104123246449829708496999974623000381704150391222146501447732056360034205061740613466869953164076082078293376923<142>
prime factors 素因数
735790587500551731348419488073351<33>
587239052741479910497804853780708830854156297691<48>
2316634778346193718074128370167758320496447356746829997837303<61>
factorization results 素因数分解の結果
# memo: 
# 1. started as SNFS (complexity=160) + ECM in parallel 
#    ==> ECM found P33, reduced to C109
# 2. Restarted as GNFS-109 and finished in under 8 hours

Run 618 out of 950:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2528959712
Step 1 took 5168ms
Step 2 took 2516ms
********** Factor found in step 2: 735790587500551731348419488073351
Found probable prime factor of 33 digits: 735790587500551731348419488073351
Composite cofactor ... has 109 digits
________________________________

Number: 24443_160_1
N=1360418412783987074914444113841721330588031373907259564665334948457960743026634867009277756438778267452567373
  ( 109 digits)
Divisors found:
 r1=587239052741479910497804853780708830854156297691
 r2=2316634778346193718074128370167758320496447356746829997837303
Version: 
Total time: 7.00 hours.
Scaled time: 21.00 units (timescale=2.952).
Factorization parameters were as follows:
name: 24443_160_1
n: 1360418412783987074914444113841721330588031373907259564665334948457960743026634867009277756438778267452567373
skew: 41860.23
# norm 1.64e+15
c5: 3420
c4: 1690161444
c3: -41999216776651
c2: -2882404502481927453
c1: 13452908855870193561711
c0: -31177496575363663531230471
# alpha -6.60
Y1: 24432329119
Y0: -831625922016089307142
# Murphy_E 1.22e-09
# M 698164231928883033395764254761249812600819043440596205752521820506521365412989261638914584739305378444049168
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, 2800001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 383287 x 383535
Total sieving time: 6.20 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.51 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,26,26,49,49,2.6,2.6,100000

total time: 7.00 hours.

 --------- CPU info (if available) ----------
Memory: 33030820k/34078720k available (1920k kernel code, 522988k reserved, 885k data, 196k init)
Calibrating delay using timer specific routine.. 5609.80 BogoMIPS (lpj=11219618)
software ソフトウェア
GMP-ECM 6.2.1+pol51+Msieve 1.36
execution environment 実行環境
Opteron-2.8GHz; Linux x86_64

22×10161-139

c123

name 名前Sinkiti Sibata
date 日付July 5, 2008 04:11:15 UTC 2008 年 7 月 5 日 (土) 13 時 11 分 15 秒 (日本時間)
composite number 合成数
305731822386241687388365973109241630242229346029252053757510744441829217228259242418405758238321559754128107663948694612833<123>
prime factors 素因数
918751243450106267060747603778791899353350478837103<51>
332768880114005275926756609421497514018998126560607437380875803735204911<72>
factorization results 素因数分解の結果
Number: 24443_161
N=305731822386241687388365973109241630242229346029252053757510744441829217228259242418405758238321559754128107663948694612833
  ( 123 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=918751243450106267060747603778791899353350478837103 (pp51)
 r2=332768880114005275926756609421497514018998126560607437380875803735204911 (pp72)
Version: GGNFS-0.77.1-20060513-k8
Total time: 73.49 hours.
Scaled time: 146.68 units (timescale=1.996).
Factorization parameters were as follows:
name: 24443_161
n: 305731822386241687388365973109241630242229346029252053757510744441829217228259242418405758238321559754128107663948694612833
m: 100000000000000000000000000000000
c5: 220
c0: -13
skew: 0.57
type: snfs
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2250000, 4550001)
Primes: RFBsize:315948, AFBsize:316452, largePrimes:5901718 encountered
Relations: rels:6110503, finalFF:826721
Max relations in full relation-set: 28
Initial matrix: 632467 x 826721 with sparse part having weight 51666016.
Pruned matrix : 479579 x 482805 with weight 35391694.
Total sieving time: 70.08 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.99 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000
total time: 73.49 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

22×10163-139

c130

name 名前Robert Backstrom
date 日付July 10, 2008 04:28:27 UTC 2008 年 7 月 10 日 (木) 13 時 28 分 27 秒 (日本時間)
composite number 合成数
1126221332030780515366787389894956177448864285682143722873412986001818217724292991301588775644224073995875067988739088144154334799<130>
prime factors 素因数
27792384200043657245658680170611919922816011461860744469047783927<65>
40522659874175581080586722921710792443780673884463536926755858537<65>
factorization results 素因数分解の結果
Number: n
N=1126221332030780515366787389894956177448864285682143722873412986001818217724292991301588775644224073995875067988739088144154334799
  ( 130 digits)
SNFS difficulty: 164 digits.
Divisors found:

Thu Jul 10 11:46:24 2008  prp65 factor: 27792384200043657245658680170611919922816011461860744469047783927
Thu Jul 10 11:46:24 2008  prp65 factor: 40522659874175581080586722921710792443780673884463536926755858537
Thu Jul 10 11:46:24 2008  elapsed time 01:44:02 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 53.83 hours.
Scaled time: 78.10 units (timescale=1.451).
Factorization parameters were as follows:
name: KA_2_4_162_3
n: 1126221332030780515366787389894956177448864285682143722873412986001818217724292991301588775644224073995875067988739088144154334799
skew: 0.45
deg: 5
c5: 1375
c0: -26
m: 200000000000000000000000000000000
type: snfs
rlim: 4600000
alim: 4600000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2600001)
Primes: RFBsize:322441, AFBsize:322367, largePrimes:7552829 encountered
Relations: rels:7113306, finalFF:680302
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 53.58 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,4600000,4600000,28,28,48,48,2.5,2.5,100000
total time: 53.83 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

22×10164-139

c136

name 名前Sinkiti Sibata
date 日付July 5, 2008 02:15:33 UTC 2008 年 7 月 5 日 (土) 11 時 15 分 33 秒 (日本時間)
composite number 合成数
1394838777243141255510981001163768886819125792240408935920463319142421907920649440350855154985034708459237944672082108063593967188702737<136>
prime factors 素因数
188977149108201979911706385119937160520580933260307287<54>
7380991743316560115806233653476384595263723304504052365842469875363867165673435351<82>
factorization results 素因数分解の結果
Number: 24443_164
N=1394838777243141255510981001163768886819125792240408935920463319142421907920649440350855154985034708459237944672082108063593967188702737
  ( 136 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=188977149108201979911706385119937160520580933260307287 (pp54)
 r2=7380991743316560115806233653476384595263723304504052365842469875363867165673435351 (pp82)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 83.57 hours.
Scaled time: 84.33 units (timescale=1.009).
Factorization parameters were as follows:
name: 24443_164
n: 1394838777243141255510981001163768886819125792240408935920463319142421907920649440350855154985034708459237944672082108063593967188702737
m: 1000000000000000000000000000000000
c5: 11
c0: -65
skew: 1.43
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, 5400001)
Primes: RFBsize:348513, AFBsize:348832, largePrimes:5983032 encountered
Relations: rels:6212091, finalFF:859947
Max relations in full relation-set: 28
Initial matrix: 697410 x 859947 with sparse part having weight 56628198.
Pruned matrix : 568712 x 572263 with weight 39516683.
Total sieving time: 80.89 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 2.48 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: 83.57 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

22×10165-139

c160

name 名前Robert Backstrom
date 日付July 28, 2008 08:00:52 UTC 2008 年 7 月 28 日 (月) 17 時 0 分 52 秒 (日本時間)
composite number 合成数
6437339377409796050458206890820675914782501321849119884034257179315892240109247501361350975154503460216218525433781576978435790904683193657699160307599483959467<160>
prime factors 素因数
5754480652293022944296874651263801107670250103676807<52>
1118665569732113050387533457391188058592674819391297562139857816414188357774603895007548142093328554147528381<109>
factorization results 素因数分解の結果
Number: n
N=6437339377409796050458206890820675914782501321849119884034257179315892240109247501361350975154503460216218525433781576978435790904683193657699160307599483959467
  ( 160 digits)
SNFS difficulty: 166 digits.
Divisors found:

Mon Jul 28 17:54:55 2008  prp52 factor: 5754480652293022944296874651263801107670250103676807
Mon Jul 28 17:54:55 2008  prp109 factor: 1118665569732113050387533457391188058592674819391297562139857816414188357774603895007548142093328554147528381
Mon Jul 28 17:54:55 2008  elapsed time 02:54:38 (Msieve 1.36)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 40.31 hours.
Scaled time: 52.76 units (timescale=1.309).
Factorization parameters were as follows:
name: KA_2_4_164_3
n: 6437339377409796050458206890820675914782501321849119884034257179315892240109247501361350975154503460216218525433781576978435790904683193657699160307599483959467
type: snfs
skew: 0.90
deg: 5
c5: 22
c0: -13
m: 1000000000000000000000000000000000
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved  special-q in [100000, 2300000)
Primes: RFBsize:348513, AFBsize:348457, largePrimes:9839460 encountered
Relations: rels:9290956, finalFF:745978
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 39.81 hours.
Total relation processing time: 0.49 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,50,50,2.5,2.5,100000
total time: 40.31 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 1, 2008 09:00:00 UTC 2008 年 7 月 1 日 (火) 18 時 0 分 0 秒 (日本時間)

22×10166-139

c124

name 名前Jo Yeong Uk
date 日付July 2, 2008 11:56:10 UTC 2008 年 7 月 2 日 (水) 20 時 56 分 10 秒 (日本時間)
composite number 合成数
1461394721015854815409068312490595366712638397436166904476799943173561746368482430588187393821847091999781355072429977325411<124>
prime factors 素因数
92451731827226267738142652673971531<35>
15807110284823092936676892186474766682999520995799709781771826467335821057469454232049481<89>
factorization results 素因数分解の結果
GMP-ECM 6.2 [powered by GMP 4.2.2] [ECM]
Input number is 1461394721015854815409068312490595366712638397436166904476799943173561746368482430588187393821847091999781355072429977325411 (124 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3840854288
Step 1 took 6026ms
Step 2 took 2847ms
********** Factor found in step 2: 92451731827226267738142652673971531
Found probable prime factor of 35 digits: 92451731827226267738142652673971531
Probable prime cofactor 15807110284823092936676892186474766682999520995799709781771826467335821057469454232049481 has 89 digits
execution environment 実行環境
Core 2 Quad Q6700

22×10167-139

c130

name 名前Jo Yeong Uk
date 日付June 23, 2009 18:27:45 UTC 2009 年 6 月 24 日 (水) 3 時 27 分 45 秒 (日本時間)
composite number 合成数
2129331888267055615375292847991745991122250793026866418237055157471572765868882564504408062284213491426581138168217340664995101669<130>
prime factors 素因数
167490769827406767572595332518138087825351<42>
12713129747157146466674781904758060906332193817674471949615764473430324022539144529420019<89>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 2129331888267055615375292847991745991122250793026866418237055157471572765868882564504408062284213491426581138168217340664995101669 (130 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1892633111
Step 1 took 9996ms
Step 2 took 5101ms
********** Factor found in step 2: 167490769827406767572595332518138087825351
Found probable prime factor of 42 digits: 167490769827406767572595332518138087825351
Probable prime cofactor 12713129747157146466674781904758060906332193817674471949615764473430324022539144529420019 has 89 digits
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 1, 2008 09:00:00 UTC 2008 年 7 月 1 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6904Jo Yeong UkJuly 24, 2008 07:55:08 UTC 2008 年 7 月 24 日 (木) 16 時 55 分 8 秒 (日本時間)

22×10168-139

c161

name 名前Robert Backstrom
date 日付July 3, 2008 23:25:24 UTC 2008 年 7 月 4 日 (金) 8 時 25 分 24 秒 (日本時間)
composite number 合成数
12325207154504651697609578230419553911570124459107093521599572869273776614686074702014993270518127960342135582268167501987693160765575693280143050298301470429091<161>
prime factors 素因数
272806960740898694897744916795109789<36>
45179225343192939814830264722714360700948905264435948248866595060194010598980819143752130662346477005769664390040536535097919<125>
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 12325207154504651697609578230419553911570124459107093521599572869273776614686074702014993270518127960342135582268167501987693160765575693280143050298301470429091 (161 digits)
Using B1=2508000, B2=3567875230, polynomial Dickson(6), sigma=4104464395
Step 1 took 31875ms
Step 2 took 12703ms
********** Factor found in step 2: 272806960740898694897744916795109789
Found probable prime factor of 36 digits: 272806960740898694897744916795109789
Probable prime cofactor 45179225343192939814830264722714360700948905264435948248866595060194010598980819143752130662346477005769664390040536535097919 has 125 digits

22×10169-139

c151

name 名前Sinkiti Sibata
date 日付July 6, 2008 21:25:42 UTC 2008 年 7 月 7 日 (月) 6 時 25 分 42 秒 (日本時間)
composite number 合成数
3701951876266622979874422342651354796993731339689201245901440527900042776675366699392640951666692911201609719346004277223504578989840161477542437489987<151>
prime factors 素因数
34538325050649741960582584869569799<35>
107183885461665753591363007370745581050786551598708387085447555024370036792587759492946489199946634658942041297437413<117>
factorization results 素因数分解の結果
Number: 24443_169
N=3701951876266622979874422342651354796993731339689201245901440527900042776675366699392640951666692911201609719346004277223504578989840161477542437489987
  ( 151 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=34538325050649741960582584869569799 (pp35)
 r2=107183885461665753591363007370745581050786551598708387085447555024370036792587759492946489199946634658942041297437413 (pp117)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 141.04 hours.
Scaled time: 142.17 units (timescale=1.008).
Factorization parameters were as follows:
name: 24443_169
n: 3701951876266622979874422342651354796993731339689201245901440527900042776675366699392640951666692911201609719346004277223504578989840161477542437489987
m: 10000000000000000000000000000000000
c5: 11
c0: -65
skew: 1.43
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3000000, 8300001)
Primes: RFBsize:412849, AFBsize:413107, largePrimes:6158208 encountered
Relations: rels:6424609, finalFF:926523
Max relations in full relation-set: 28
Initial matrix: 826021 x 926523 with sparse part having weight 64258799.
Pruned matrix : 747047 x 751241 with weight 49325952.
Total sieving time: 136.65 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 4.17 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000
total time: 141.04 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

22×10171-139

c112

name 名前Serge Batalov
date 日付July 2, 2008 18:57:03 UTC 2008 年 7 月 3 日 (木) 3 時 57 分 3 秒 (日本時間)
composite number 合成数
5139124404481049086395651731906800311483837611273017081671461373903727665577251446454615728185746159540406793543<112>
prime factors 素因数
17489659331233420841041848831787915121<38>
293837879123436495340659649946267814150481624381132301381989520081108118583<75>
factorization results 素因数分解の結果
Number: 24443_171
N=5139124404481049086395651731906800311483837611273017081671461373903727665577251446454615728185746159540406793543
  ( 112 digits)
Divisors found:
 r1=17489659331233420841041848831787915121
 r2=293837879123436495340659649946267814150481624381132301381989520081108118583
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.925).
Factorization parameters were as follows:
name: 24443_171
n: 5139124404481049086395651731906800311483837611273017081671461373903727665577251446454615728185746159540406793543
skew: 23580.22
# norm 7.24e+15
c5: 148800
c4: -4636284728
c3: -470193859049548
c2: 438239297947085878
c1: 79112332684214555643067
c0: -394126047946406209907151014
# alpha -6.39
Y1: 86199672119
Y0: -2030754175241905544721
# Murphy_E 7.70e-10
# M 2640026109499838171364872472237626803511669852765746996736091001649567901109710655658807811642173908560437128601
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, 3550001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 445649 x 445892
Total sieving time: 11.00 hours.
Total relation processing time: 0.80 hours.
Matrix solve time: 1.00 hours.
Time per square root: 0.79 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
Memory: 33030820k/34078720k available (1920k kernel code, 522988k reserved, 885k data, 196k init)
Calibrating delay using timer specific routine.. 5609.80 BogoMIPS (lpj=11219618)

Tue Jul  1 20:09:33 2008  Msieve v. 1.36
Tue Jul  1 20:09:33 2008  random seeds: 702b4d8c a9e2f611
Tue Jul  1 20:09:33 2008  factoring 5139124404481049086395651731906800311483837611273017081671461373903727665577251446454615728185746159540406793543 (112 digits)
Tue Jul  1 20:09:33 2008  no P-1/P+1/ECM available, skipping
Tue Jul  1 20:09:33 2008  commencing number field sieve (112-digit input)
Tue Jul  1 20:09:33 2008  R0: -2030754175241905544721
Tue Jul  1 20:09:33 2008  R1:  86199672119
Tue Jul  1 20:09:33 2008  A0: -394126047946406209907151014
Tue Jul  1 20:09:33 2008  A1:  79112332684214555643067
Tue Jul  1 20:09:33 2008  A2:  438239297947085878
Tue Jul  1 20:09:33 2008  A3: -470193859049548
Tue Jul  1 20:09:33 2008  A4: -4636284728
Tue Jul  1 20:09:33 2008  A5:  148800
Tue Jul  1 20:09:33 2008  size score = 1.249103e-11, Murphy alpha = -6.388435, combined = 1.050556e-10
Tue Jul  1 20:09:33 2008  generating factor base
Tue Jul  1 20:09:35 2008  factor base complete:
Tue Jul  1 20:09:35 2008  250150 rational roots (max prime = 3499999)
Tue Jul  1 20:09:35 2008  250613 algebraic roots (max prime = 3499999)
Tue Jul  1 20:09:36 2008  a range: [-4000000, 4000000]
Tue Jul  1 20:09:36 2008  b range: [1, 300]
Tue Jul  1 20:09:36 2008  number of hash buckets: 54
Tue Jul  1 20:09:36 2008  sieve block size: 65536
Tue Jul  1 20:09:36 2008  
Tue Jul  1 20:09:36 2008  maximum RFB prime: 3499999
Tue Jul  1 20:09:36 2008  RFB entries: 250150
Tue Jul  1 20:09:36 2008  medium RFB entries: 6542
Tue Jul  1 20:09:36 2008  resieved RFB entries: 6374
Tue Jul  1 20:09:36 2008  small RFB prime powers: 26

......

Wed Jul  2 07:37:03 2008  read 222881 cycles
Wed Jul  2 07:37:04 2008  cycles contain 942396 unique relations
Wed Jul  2 07:37:13 2008  read 942396 relations
Wed Jul  2 07:37:19 2008  multiplying 1389020 relations
Wed Jul  2 07:40:48 2008  multiply complete, coefficients have about 62.98 million bits
Wed Jul  2 07:40:51 2008  initial square root is modulo 1099946581
Wed Jul  2 07:48:08 2008  reading relations for dependency 2
Wed Jul  2 07:48:08 2008  read 223005 cycles
Wed Jul  2 07:48:09 2008  cycles contain 943124 unique relations
Wed Jul  2 07:48:18 2008  read 943124 relations
Wed Jul  2 07:48:24 2008  multiplying 1390606 relations
Wed Jul  2 07:51:51 2008  multiply complete, coefficients have about 63.05 million bits
Wed Jul  2 07:51:54 2008  initial square root is modulo 1127141789
Wed Jul  2 08:00:03 2008  reading relations for dependency 3
Wed Jul  2 08:00:03 2008  read 222905 cycles
Wed Jul  2 08:00:04 2008  cycles contain 944334 unique relations
Wed Jul  2 08:00:13 2008  read 944334 relations
Wed Jul  2 08:00:19 2008  multiplying 1393096 relations
Wed Jul  2 08:04:08 2008  multiply complete, coefficients have about 63.16 million bits
Wed Jul  2 08:04:11 2008  initial square root is modulo 1169218081
Wed Jul  2 08:12:57 2008  reading relations for dependency 4
Wed Jul  2 08:12:57 2008  read 222408 cycles
Wed Jul  2 08:12:58 2008  cycles contain 941642 unique relations
Wed Jul  2 08:13:07 2008  read 941642 relations
Wed Jul  2 08:13:14 2008  multiplying 1387418 relations
Wed Jul  2 08:16:55 2008  multiply complete, coefficients have about 62.90 million bits
Wed Jul  2 08:16:58 2008  initial square root is modulo 1073482523
Wed Jul  2 08:24:19 2008  prp38 factor: 17489659331233420841041848831787915121
Wed Jul  2 08:24:19 2008  prp75 factor: 293837879123436495340659649946267814150481624381132301381989520081108118583
Wed Jul  2 08:24:19 2008  elapsed time 00:47:17

Total time: 13hrs.
software ソフトウェア
pol51; Msieve 1.36
execution environment 実行環境
Opteron-2.8GHz; Linux x86_64

22×10172-139

c154

name 名前Serge Batalov
date 日付July 11, 2008 05:07:35 UTC 2008 年 7 月 11 日 (金) 14 時 7 分 35 秒 (日本時間)
composite number 合成数
1369975241418715849438620792274674895980028895027211295311711965346521755249680095593811592460091291572128259890068362451785723611137942736973868563484693<154>
prime factors 素因数
10657958831905102704921058981771<32>
128540113827202101407963240722095256356240982179406016084691632863292226740107335226351658112576118368825069138632503298783<123>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2112599342
Step 1 took 20998ms
********** Factor found in step 1: 10657958831905102704921058981771
Found probable prime factor of 32 digits: 10657958831905102704921058981771
Probable prime cofactor 128540113827202101407963240722095256356240982179406016084691632863292226740107335226351658112576118368825069138632503298783 has 123 digits
software ソフトウェア
GMP-ECM 6.2.1

22×10174-139

c162

name 名前Sinkiti Sibata
date 日付July 9, 2008 20:59:59 UTC 2008 年 7 月 10 日 (木) 5 時 59 分 59 秒 (日本時間)
composite number 合成数
891999847055895139743115124913569524755749316127777265347092103819927701303676855809664819338719798539911436166731483759915450801415537254910271854080136443820803<162>
prime factors 素因数
11072656343693520216315180207406030758141993043<47>
287966682004537921225496398852946852204100412458502336373<57>
279750400108181033972244071591541983136545321330179478911277<60>
factorization results 素因数分解の結果
Number: 24443_174
N=891999847055895139743115124913569524755749316127777265347092103819927701303676855809664819338719798539911436166731483759915450801415537254910271854080136443820803
  ( 162 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=11072656343693520216315180207406030758141993043 (pp47)
 r2=287966682004537921225496398852946852204100412458502336373 (pp57)
 r3=279750400108181033972244071591541983136545321330179478911277 (pp60)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 252.40 hours.
Scaled time: 255.17 units (timescale=1.011).
Factorization parameters were as follows:
name: 24443_174
n: 891999847055895139743115124913569524755749316127777265347092103819927701303676855809664819338719798539911436166731483759915450801415537254910271854080136443820803
m: 100000000000000000000000000000000000
c5: 11
c0: -65
skew: 1.43
type: snfs
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 12600001)
Primes: RFBsize:501962, AFBsize:502347, largePrimes:6616943 encountered
Relations: rels:7110143, finalFF:1158815
Max relations in full relation-set: 28
Initial matrix: 1004374 x 1158815 with sparse part having weight 81668155.
Pruned matrix : 874715 x 879800 with weight 62188821.
Total sieving time: 245.38 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 6.72 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 252.40 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

22×10175-139

c167

name 名前Sinkiti Sibata
date 日付August 16, 2008 09:44:32 UTC 2008 年 8 月 16 日 (土) 18 時 44 分 32 秒 (日本時間)
composite number 合成数
73644631917299137728580137532146806574154126067925117317463592685769008304891416632420992267223601383655295462499249774602821118505638050079627772875505692288346789883<167>
prime factors 素因数
108255761415671706622622739225515636293<39>
composite cofactor 合成数の残り
680283718429769696056120418073040544541397423248695726710441763806401518016805452458069590962210373264962514288556879937951373631<129>
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 73644631917299137728580137532146806574154126067925117317463592685769008304891416632420992267223601383655295462499249774602821118505638050079627772875505692288346789883

Run 859 out of 904:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=266198168
Step 1 took 22215ms
Step 2 took 9001ms
********** Factor found in step 2: 108255761415671706622622739225515636293
Found probable prime factor of 39 digits: 108255761415671706622622739225515636293
Composite cofactor 680283718429769696056120418073040544541397423248695726710441763806401518016805452458069590962210373264962514288556879937951373631 has 129 digits

c129

name 名前Warut Roonguthai
date 日付October 11, 2011 02:18:34 UTC 2011 年 10 月 11 日 (火) 11 時 18 分 34 秒 (日本時間)
composite number 合成数
680283718429769696056120418073040544541397423248695726710441763806401518016805452458069590962210373264962514288556879937951373631<129>
prime factors 素因数
872233510530754415266828749410845390179757077866197853177<57>
779933022770263436230968717872778292660934381079935294170655962373293303<72>
factorization results 素因数分解の結果
N = 680283718429769696056120418073040544541397423248695726710441763806401518016805452458069590962210373264962514288556879937951373631 (129 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=872233510530754415266828749410845390179757077866197853177 (pp57)
r2=779933022770263436230968717872778292660934381079935294170655962373293303 (pp72)
Version: Msieve v. 1.48
Total time: 34.70 hours.
Factorization parameters were as follows:
name: (22*10^175-13)/9
n: 680283718429769696056120418073040544541397423248695726710441763806401518016805452458069590962210373264962514288556879937951373631
Y0: 100000000000000000000000000000000000
Y1: -1
c0: -13
c1: 0
c2: 0
c3: 0
c4: 0
c5: 22
skew: 0.90
type: snfs
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20478002
Relations: 2495404 relations
Pruned matrix : 1411590 x 1411815
Polynomial selection time: 0.00 hours.
Total sieving time: 32.05 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.48 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 34.70 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 1, 2008 09:00:00 UTC 2008 年 7 月 1 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 29, 2010 12:30:09 UTC 2010 年 6 月 29 日 (火) 21 時 30 分 9 秒 (日本時間)
403e6110Ignacio SantosJune 29, 2010 12:30:09 UTC 2010 年 6 月 29 日 (火) 21 時 30 分 9 秒 (日本時間)
4511e6465232Ignacio SantosJune 29, 2010 12:30:09 UTC 2010 年 6 月 29 日 (火) 21 時 30 分 9 秒 (日本時間)
620Ignacio SantosJuly 1, 2010 23:13:42 UTC 2010 年 7 月 2 日 (金) 8 時 13 分 42 秒 (日本時間)
4000Wataru SakaiSeptember 16, 2011 07:28:38 UTC 2011 年 9 月 16 日 (金) 16 時 28 分 38 秒 (日本時間)

22×10176-139

c140

name 名前Serge Batalov
date 日付August 7, 2008 17:02:59 UTC 2008 年 8 月 8 日 (金) 2 時 2 分 59 秒 (日本時間)
composite number 合成数
15638124824602691645588659279423299765857535942405311110794370235494865098515701286999030657769655617827648839844924000469499720817704451187<140>
prime factors 素因数
3402062619689460830934510402880048421<37>
4596659900995630289638965548262792933809828494069495661471865826071626866018519050235823880497506667447<103>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=139027873
Step 1 took 19063ms
Step 2 took 16308ms
********** Factor found in step 2: 3402062619689460830934510402880048421
Found probable prime factor of 37 digits: 3402062619689460830934510402880048421
Probable prime cofactor 4596659900995630289638965548262792933809828494069495661471865826071626866018519050235823880497506667447 has 103 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 1, 2008 09:00:00 UTC 2008 年 7 月 1 日 (火) 18 時 0 分 0 秒 (日本時間)

22×10179-139

c141

name 名前Sinkiti Sibata
date 日付August 17, 2008 21:57:51 UTC 2008 年 8 月 18 日 (月) 6 時 57 分 51 秒 (日本時間)
composite number 合成数
349165944590091867944970739224950115657298071576715071521804379303095232821001110672336976242671808298508474956698907944114498422023835979711<141>
prime factors 素因数
24726223009098487467636225633358624031335131751<47>
14121281057022318743169320232071258885317897178039011226565812763366085713013565900617484617961<95>
factorization results 素因数分解の結果
factor24443_179
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 349165944590091867944970739224950115657298071576715071521804379303095232821001110672336976242671808298508474956698907944114498422023835979711

Run 1472 out of 2350:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1048915276
Step 1 took 49375ms
Step 2 took 17269ms
********** Factor found in step 2: 24726223009098487467636225633358624031335131751
Found probable prime factor of 47 digits: 24726223009098487467636225633358624031335131751
Probable prime cofactor 14121281057022318743169320232071258885317897178039011226565812763366085713013565900617484617961 has 95 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 1, 2008 09:00:00 UTC 2008 年 7 月 1 日 (火) 18 時 0 分 0 秒 (日本時間)

22×10180-139

c144

name 名前Dmitry Domanov
date 日付May 20, 2013 06:17:50 UTC 2013 年 5 月 20 日 (月) 15 時 17 分 50 秒 (日本時間)
composite number 合成数
271845816320278539429587638092826329232628873664863177212704960168484207288634062927657512662134502346248436623833026250584153848654155304622917<144>
prime factors 素因数
91134429966753994192320725444935089740308179863<47>
2982910151733525821776752251002371730758713784252456464713443704546062846171378652832494703197059<97>
factorization results 素因数分解の結果
N=271845816320278539429587638092826329232628873664863177212704960168484207288634062927657512662134502346248436623833026250584153848654155304622917
  ( 144 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=91134429966753994192320725444935089740308179863 (pp47)
 r2=2982910151733525821776752251002371730758713784252456464713443704546062846171378652832494703197059 (pp97)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 115.09 hours.
Scaled time: 221.19 units (timescale=1.922).
Factorization parameters were as follows:
n: 271845816320278539429587638092826329232628873664863177212704960168484207288634062927657512662134502346248436623833026250584153848654155304622917
m: 1000000000000000000000000000000000000
deg: 5
c5: 22
c0: -13
skew: 0.90
# Murphy_E = 9.108e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3700000, 9700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1468305 x 1468532
Total sieving time: 112.35 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.22 hours.
Time per square root: 0.31 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 115.09 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 1, 2008 09:00:00 UTC 2008 年 7 月 1 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6904Sinkiti SibataAugust 22, 2008 05:58:27 UTC 2008 年 8 月 22 日 (金) 14 時 58 分 27 秒 (日本時間)
403e62350Sinkiti SibataAugust 22, 2008 05:58:27 UTC 2008 年 8 月 22 日 (金) 14 時 58 分 27 秒 (日本時間)

22×10181-139

c176

name 名前Ignacio Santos
date 日付July 5, 2010 11:36:27 UTC 2010 年 7 月 5 日 (月) 20 時 36 分 27 秒 (日本時間)
composite number 合成数
11116674501395673218480905418777508400542473503532651770019652764608308269022108084293296074282831746453313428422335197953359587886685311351019052918958280687036759962346812857<176>
prime factors 素因数
38315598030214853253156695521228391665131300511<47>
290134438006926154471464678610126131336197228659204123355539160279550625421149314888031166560532379716592449247774417966599224487<129>
factorization results 素因数分解の結果
Number: 3
N=11116674501395673218480905418777508400542473503532651770019652764608308269022108084293296074282831746453313428422335197953359587886685311351019052918958280687036759962346812857
  ( 176 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=38315598030214853253156695521228391665131300511 (pp47)
 r2=290134438006926154471464678610126131336197228659204123355539160279550625421149314888031166560532379716592449247774417966599224487 (pp129)
Version: Msieve-1.40
Total time: 149.84 hours.
Scaled time: 260.58 units (timescale=1.739).
Factorization parameters were as follows:
n: 11116674501395673218480905418777508400542473503532651770019652764608308269022108084293296074282831746453313428422335197953359587886685311351019052918958280687036759962346812857
m: 1000000000000000000000000000000000000
deg: 5
c5: 220
c0: -13
skew: 0.57
type: snfs
lss: 1
rlim: 7700000
alim: 7700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
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, 6250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1385313 x 1385538
Total sieving time: 146.40 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 2.71 hours.
Time per square root: 0.55 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: 149.84 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 1, 2008 09:00:00 UTC 2008 年 7 月 1 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 19, 2010 12:36:51 UTC 2010 年 6 月 19 日 (土) 21 時 36 分 51 秒 (日本時間)
403e62144110Ignacio SantosJune 19, 2010 12:36:51 UTC 2010 年 6 月 19 日 (土) 21 時 36 分 51 秒 (日本時間)
2034Wataru SakaiJuly 1, 2010 05:05:11 UTC 2010 年 7 月 1 日 (木) 14 時 5 分 11 秒 (日本時間)
4511e632 / 3991Ignacio SantosJune 19, 2010 12:36:51 UTC 2010 年 6 月 19 日 (土) 21 時 36 分 51 秒 (日本時間)

22×10183-139

c148

name 名前Serge Batalov
date 日付July 16, 2008 18:31:38 UTC 2008 年 7 月 17 日 (木) 3 時 31 分 38 秒 (日本時間)
composite number 合成数
1235426297335579917220123380736376158292990423995617058508778272246682610822222623352709167588299333957461003108453699004373980717506907620475697907<148>
prime factors 素因数
233948542471655416966539695957<30>
728025222965584731793931788563408594665953022055106061<54>
7253541024316580869418663127314988483163280924756047872134021891<64>
factorization results 素因数分解の結果
#-- first, by ECM --
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=369411570
Step 1 took 18298ms
Step 2 took 14326ms
********** Factor found in step 2: 233948542471655416966539695957
Found probable prime factor of 30 digits: 233948542471655416966539695957
Composite cofactor 5280760821518094650260482230697796599116648705786845313167148884685871265840183994032230085997595905486342212500781351 has 118 digits

#--then by Msieve (gnfs,118)

Number: 24443_183
N=5280760821518094650260482230697796599116648705786845313167148884685871265840183994032230085997595905486342212500781351
  ( 118 digits)
Divisors found:
 r1=728025222965584731793931788563408594665953022055106061
 r2=7253541024316580869418663127314988483163280924756047872134021891
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.951).
Factorization parameters were as follows:
name: 24443_183
n: 5280760821518094650260482230697796599116648705786845313167148884685871265840183994032230085997595905486342212500781351
skew: 37599.46
# norm 2.85e+16
c5: 114720
c4: -19508028470
c3: -143899311857623
c2: 42457844710427220106
c1: 763166056347895704407064
c0: -45130489940034694521668160
# alpha -6.40
Y1: 7577882143777
Y0: -34089038769616882470619
# Murphy_E 3.93e-10
# M 2727036486374593181091379991914029708867927407917977652616807660464128792055469928307341336543407724973003349846889828
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 100000
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, 3950001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: 8162000 relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 569973 x 570212
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,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.5,2.5,100000

total time: 27.00 hours.
software ソフトウェア
GMP-ECM 6.2.1+pol51+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 1, 2008 09:00:00 UTC 2008 年 7 月 1 日 (火) 18 時 0 分 0 秒 (日本時間)

22×10186-139

c115

name 名前Sinkiti Sibata
date 日付July 4, 2008 01:02:46 UTC 2008 年 7 月 4 日 (金) 10 時 2 分 46 秒 (日本時間)
composite number 合成数
4242101446512566279037752919245875197556434359228304425000793653490947024758992103027621559431224282849289305947657<115>
prime factors 素因数
43959204954398191758967014257475577232360237024190677731<56>
96500868268959376515840611142404886048601428365351772525347<59>
factorization results 素因数分解の結果

Number: 24443_186
N=4242101446512566279037752919245875197556434359228304425000793653490947024758992103027621559431224282849289305947657
  ( 115 digits)
Divisors found:
 r1=43959204954398191758967014257475577232360237024190677731 (pp56)
 r2=96500868268959376515840611142404886048601428365351772525347 (pp59)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 40.02 hours.
Scaled time: 40.34 units (timescale=1.008).
Factorization parameters were as follows:
name: 24443_186
n: 4242101446512566279037752919245875197556434359228304425000793653490947024758992103027621559431224282849289305947657
skew: 41072.16
# norm 1.73e+16
c5: 28980
c4: -5531699547
c3: 372309325381604
c2: 23901648869437194434
c1: -212452296877258001651416
c0: 402545251072873544415047961
# alpha -6.80
Y1: 1980335979017
Y0: -10791941343671477762770
# Murphy_E 5.63e-10
# M 2831575661041463818221452258434492024696583287593071787784957834298756538742697938919050064827202075377543747090696
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, 3050001)
Primes: RFBsize:250150, AFBsize:250878, largePrimes:7937801 encountered
Relations: rels:8210451, finalFF:866897
Max relations in full relation-set: 28
Initial matrix: 501111 x 866897 with sparse part having weight 84364678.
Pruned matrix : 288555 x 291124 with weight 56212619.
Total sieving time: 38.67 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 0.94 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 40.02 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

22×10188-139

c177

name 名前matsui
date 日付October 17, 2010 12:55:30 UTC 2010 年 10 月 17 日 (日) 21 時 55 分 30 秒 (日本時間)
composite number 合成数
152947039986612455857333879229521645470137879859190539913941283016599229623787607983321843393610122578134712788709771294133101607953618360129952776804057148476955388460792693859<177>
prime factors 素因数
131481831662546718278034512170822482667824542383<48>
1163256079206114478755238427476280141649170841914804548392467666609080895452834525925327910827070211062803184987766891155464095373<130>
factorization results 素因数分解の結果
N=152947039986612455857333879229521645470137879859190539913941283016599229623787607983321843393610122578134712788709771294133101607953618360129952776804057148476955388460792693859
  ( 177 digits)
SNFS difficulty: 189 digits.
Divisors found:
 r1=131481831662546718278034512170822482667824542383 (pp48)
 r2=1163256079206114478755238427476280141649170841914804548392467666609080895452834525925327910827070211062803184987766891155464095373 (pp130)
Version: Msieve v. 1.48
Total time:
Scaled time: 45.73 units (timescale=1.831).
Factorization parameters were as follows:
n: 152947039986612455857333879229521645470137879859190539913941283016599229623787607983321843393610122578134712788709771294133101607953618360129952776804057148476955388460792693859
m: 10000000000000000000000000000000000000
deg: 5
c5: 22000
c0: -13
skew: 0.23
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 500000
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5000000, 15500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2128750 x 2128978
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,189.000,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,54,54,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 1, 2008 09:00:00 UTC 2008 年 7 月 1 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 16, 2010 02:45:44 UTC 2010 年 10 月 16 日 (土) 11 時 45 分 44 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 16, 2010 02:45:44 UTC 2010 年 10 月 16 日 (土) 11 時 45 分 44 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 16, 2010 02:45:44 UTC 2010 年 10 月 16 日 (土) 11 時 45 分 44 秒 (日本時間)

22×10189-139

c169

composite cofactor 合成数の残り
5564391289365191698844671719743247072247051197083722717452383335606653968062840166382405390582639989199846444714881339113233847480838089248078192472041832521566133253913<169>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 1, 2008 09:00:00 UTC 2008 年 7 月 1 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 16, 2010 02:46:24 UTC 2010 年 10 月 16 日 (土) 11 時 46 分 24 秒 (日本時間)
403e61110110Ignacio SantosOctober 16, 2010 02:46:24 UTC 2010 年 10 月 16 日 (土) 11 時 46 分 24 秒 (日本時間)
1000Dmitry DomanovJune 25, 2013 14:04:31 UTC 2013 年 6 月 25 日 (火) 23 時 4 分 31 秒 (日本時間)
4511e61032 / 422032Ignacio SantosOctober 16, 2010 02:46:24 UTC 2010 年 10 月 16 日 (土) 11 時 46 分 24 秒 (日本時間)
1000Dmitry DomanovJune 25, 2013 14:04:31 UTC 2013 年 6 月 25 日 (火) 23 時 4 分 31 秒 (日本時間)

22×10190-139

c114

name 名前Serge Batalov
date 日付July 2, 2008 08:01:52 UTC 2008 年 7 月 2 日 (水) 17 時 1 分 52 秒 (日本時間)
composite number 合成数
147049989986160102613851841657274093861823669563735438478948859116147554854676224212502476971339335289050873630897<114>
prime factors 素因数
23032466315154297903558471524435237785670147<44>
6384465648362112581210497692982220217680658290277639789815364462792251<70>
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 147049989986160102613851841657274093861823669563735438478948859116147554854676224212502476971339335289050873630897 (114 digits)
Run 55 out of 1000:
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4044017834
Step 1 took 9809ms
Step 2 took 8380ms
********** Factor found in step 2: 23032466315154297903558471524435237785670147
Found probable prime factor of 44 digits: 23032466315154297903558471524435237785670147
Probable prime cofactor 6384465648362112581210497692982220217680658290277639789815364462792251 has 70 digits

22×10193-139

c190

name 名前Serge Batalov
date 日付July 11, 2008 07:47:00 UTC 2008 年 7 月 11 日 (金) 16 時 47 分 0 秒 (日本時間)
composite number 合成数
4321096772926364582719541178088111091469762143263999371476833028892424331703101369002023058943688252509182330642468524738279025003437236069373244554435998664388270186396401704869090409129299<190>
prime factors 素因数
56324686381350084101805638381550307243<38>
composite cofactor 合成数の残り
76717635739151528363645309382391042558552748328658787346390836596385290572482473167190784819468980117146226312447151202964037959418539144514394956959993<152>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1056910569
Step 1 took 30505ms
Step 2 took 19035ms
********** Factor found in step 2: 56324686381350084101805638381550307243
Found probable prime factor of 38 digits: 56324686381350084101805638381550307243
Composite cofactor 76717635739151528363645309382391042558552748328658787346390836596385290572482473167190784819468980117146226312447151202964037959418539144514394956959993 has 152 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 1, 2008 09:00:00 UTC 2008 年 7 月 1 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 16, 2010 03:08:20 UTC 2010 年 10 月 16 日 (土) 12 時 8 分 20 秒 (日本時間)
403e61110110Ignacio SantosOctober 16, 2010 03:08:20 UTC 2010 年 10 月 16 日 (土) 12 時 8 分 20 秒 (日本時間)
1000Dmitry DomanovJune 25, 2013 14:04:48 UTC 2013 年 6 月 25 日 (火) 23 時 4 分 48 秒 (日本時間)
4511e61032 / 422032Ignacio SantosOctober 16, 2010 03:08:20 UTC 2010 年 10 月 16 日 (土) 12 時 8 分 20 秒 (日本時間)
1000Dmitry DomanovJune 25, 2013 14:04:48 UTC 2013 年 6 月 25 日 (火) 23 時 4 分 48 秒 (日本時間)

22×10194-139

c177

name 名前Dmitry Domanov
date 日付June 26, 2013 05:04:49 UTC 2013 年 6 月 26 日 (水) 14 時 4 分 49 秒 (日本時間)
composite number 合成数
151724139139781743610278482814242685767273253451147061676836357291610492153171332059607150030954622998007571654235591552558012952249715126073188797963970617223141326769719762169<177>
prime factors 素因数
18452002686125648100804774169606404537887<41>
8222638036675851845113104760583324177993483486643463921408111507651546461106920427438706931069582113009686195574469167013709174789018087<136>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2872045647
Step 1 took 75621ms
Step 2 took 29336ms
********** Factor found in step 2: 18452002686125648100804774169606404537887
Found probable prime factor of 41 digits: 18452002686125648100804774169606404537887

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 1, 2008 09:00:00 UTC 2008 年 7 月 1 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 16, 2010 11:16:00 UTC 2010 年 10 月 16 日 (土) 20 時 16 分 0 秒 (日本時間)
403e61110110Ignacio SantosOctober 16, 2010 11:16:00 UTC 2010 年 10 月 16 日 (土) 20 時 16 分 0 秒 (日本時間)
1000Dmitry DomanovJune 25, 2013 14:05:03 UTC 2013 年 6 月 25 日 (火) 23 時 5 分 3 秒 (日本時間)
4511e61032 / 422032Ignacio SantosOctober 16, 2010 11:16:00 UTC 2010 年 10 月 16 日 (土) 20 時 16 分 0 秒 (日本時間)
1000Dmitry DomanovJune 25, 2013 14:05:03 UTC 2013 年 6 月 25 日 (火) 23 時 5 分 3 秒 (日本時間)

22×10195-139

c111

name 名前Serge Batalov
date 日付July 2, 2008 08:05:39 UTC 2008 年 7 月 2 日 (水) 17 時 5 分 39 秒 (日本時間)
composite number 合成数
775425755799446841939053048525302354064197837605938152294567158088550638083405933820635565662056629872055556293<111>
prime factors 素因数
4432786487726332261901992580177<31>
2282361128060960866345069318662723827857<40>
76644156088849870258058669364338740667237<41>
factorization results 素因数分解の結果
Number: 24443_195
N=775425755799446841939053048525302354064197837605938152294567158088550638083405933820635565662056629872055556293
  ( 111 digits)
Divisors found:
 r1=4432786487726332261901992580177
 r2=2282361128060960866345069318662723827857
 r3=76644156088849870258058669364338740667237
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.844).
Factorization parameters were as follows:
name: 24443_195
n: 775425755799446841939053048525302354064197837605938152294567158088550638083405933820635565662056629872055556293
skew: 38578.42
# norm 4.25e+14
c5: 5940
c4: -241464251
c3: -28961153603108
c2: 292489093069413502
c1: 20420682911241094723856
c0: 133575367865294507252877085
# alpha -4.46
Y1: 309827997097
Y0: -2649422183486934259056
# Murphy_E 8.30e-10
# M 627846271663089527779179125876741566414536726272675783926772171413507244872142141742899588517629762116642887585
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, 2500001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 432467 x 432707
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: 0.00 hours.
 --------- CPU info (if available) ----------
Memory: 33030820k/34078720k available (1920k kernel code, 522988k reserved, 885k data, 196k init)
Calibrating delay using timer specific routine.. 5609.80 BogoMIPS (lpj=11219618)
Calibrating delay using timer specific routine.. 5600.62 BogoMIPS (lpj=11201256)
Calibrating delay using timer specific routine.. 5600.69 BogoMIPS (lpj=11201386)
Calibrating delay using timer specific routine.. 5600.70 BogoMIPS (lpj=11201415)
Calibrating delay using timer specific routine.. 5600.65 BogoMIPS (lpj=11201310)
Calibrating delay using timer specific routine.. 5600.66 BogoMIPS (lpj=11201320)
Calibrating delay using timer specific routine.. 5600.75 BogoMIPS (lpj=11201501)
Calibrating delay using timer specific routine.. 5600.56 BogoMIPS (lpj=11201124)
saving the first 48 matrix rows for later
matrix is 432467 x 432707 (127.7 MB) with weight 34239845 (79.13/col)
sparse part has weight 29137637 (67.34/col)
matrix includes 64 packed rows
using block size 43690 for processor cache size 1024 kB
commencing Lanczos iteration
memory use: 117.7 MB
linear algebra completed 431051 out of 432707 dimensions (99.6%)
lanczos halted after 6840 iterations (dim = 432466)
recovered 44 nontrivial dependencies
elapsed time 00:40:04
=>nice -n 19  "/depts/BioInf/Batalov/MERSE/ggbin/msieve" -s 24443_195.dat -l ggnfs.log -i 24443_195.ini -v -nf 24443_195.fb -t 1 -nc3


Msieve v. 1.36
Tue Jul  1 17:52:34 2008
random seeds: 6a729032 ef40d2b8
factoring 775425755799446841939053048525302354064197837605938152294567158088550638083405933820635565662056629872055556293 (111 digits)
no P-1/P+1/ECM available, skipping
commencing number field sieve (111-digit input)
R0: -2649422183486934259056
R1:  309827997097
A0:  133575367865294507252877085
A1:  20420682911241094723856
A2:  292489093069413502
A3: -28961153603108
A4: -241464251
A5:  5940
size score = 2.646882e-11, Murphy alpha = -4.459988, combined = 1.170534e-10

commencing square root phase
reading relations for dependency 1
read 216070 cycles
cycles contain 940344 unique relations
read 940344 relations
multiplying 1324484 relations
multiply complete, coefficients have about 54.75 million bits
initial square root is modulo 72519241
reading relations for dependency 2
read 216114 cycles
cycles contain 940777 unique relations
read 940777 relations
multiplying 1325292 relations
multiply complete, coefficients have about 54.78 million bits
initial square root is modulo 73261117
prp31 factor: 4432786487726332261901992580177
prp40 factor: 2282361128060960866345069318662723827857
prp41 factor: 76644156088849870258058669364338740667237
elapsed time 00:20:08
-> Computing time scale for this machine...
sumName = g111-24443_195.txt
-> Factorization summary written to g111-24443_195.txt.


Tue Jul  1 03:08:15 2008  Msieve v. 1.36
Tue Jul  1 03:08:15 2008  random seeds: 2448e225 c3c7c117
Tue Jul  1 03:08:15 2008  factoring 775425755799446841939053048525302354064197837605938152294567158088550638083405933820635565662056629872055556293 (111 digits)
Tue Jul  1 03:08:16 2008  no P-1/P+1/ECM available, skipping
Tue Jul  1 03:08:16 2008  commencing number field sieve (111-digit input)
Tue Jul  1 03:08:16 2008  R0: -2649422183486934259056
Tue Jul  1 03:08:16 2008  R1:  309827997097
Tue Jul  1 03:08:16 2008  A0:  133575367865294507252877085
....
Tue Jul  1 18:02:16 2008  read 216114 cycles
Tue Jul  1 18:02:17 2008  cycles contain 940777 unique relations
Tue Jul  1 18:02:27 2008  read 940777 relations
Tue Jul  1 18:02:33 2008  multiplying 1325292 relations
Tue Jul  1 18:05:57 2008  multiply complete, coefficients have about 54.78 million bits
Tue Jul  1 18:05:59 2008  initial square root is modulo 73261117
Tue Jul  1 18:12:42 2008  prp31 factor: 4432786487726332261901992580177
Tue Jul  1 18:12:42 2008  prp40 factor: 2282361128060960866345069318662723827857
Tue Jul  1 18:12:42 2008  prp41 factor: 76644156088849870258058669364338740667237
Tue Jul  1 18:12:42 2008  elapsed time 00:20:08

Total time: 15hr 04mn

22×10197-139

c181

composite cofactor 合成数の残り
6531746964846143169368933272965376406761419312287303417854315559831182566805363956876428403612516997637060402074070093334235619705473752280401215315867754954604114388137593568063271<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 1, 2008 09:00:00 UTC 2008 年 7 月 1 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 16, 2010 11:16:34 UTC 2010 年 10 月 16 日 (土) 20 時 16 分 34 秒 (日本時間)
403e61110110Ignacio SantosOctober 16, 2010 11:16:34 UTC 2010 年 10 月 16 日 (土) 20 時 16 分 34 秒 (日本時間)
1000Dmitry DomanovJune 25, 2013 14:05:20 UTC 2013 年 6 月 25 日 (火) 23 時 5 分 20 秒 (日本時間)
4511e61032 / 422032Ignacio SantosOctober 16, 2010 11:16:34 UTC 2010 年 10 月 16 日 (土) 20 時 16 分 34 秒 (日本時間)
1000Dmitry DomanovJune 25, 2013 14:05:20 UTC 2013 年 6 月 25 日 (火) 23 時 5 分 20 秒 (日本時間)

22×10198-139

c196

name 名前Serge Batalov
date 日付November 24, 2008 01:12:52 UTC 2008 年 11 月 24 日 (月) 10 時 12 分 52 秒 (日本時間)
composite number 合成数
3212147758796904657614250255511753540662870492042633961162213461819243685209519637903343553803474959848153015038691779821871806103080741714118849467075485472331727259453934881004526208205577456563<196>
prime factors 素因数
1116164463888701212766808462545049455171<40>
composite cofactor 合成数の残り
2877844495788575168113607192129997691026661911215134817394216371163195475768528619368913071644015537645015736907890065295017724885610399161647249281604057553<157>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2917915214
Step 1 took 32189ms
Step 2 took 20917ms
********** Factor found in step 2: 1116164463888701212766808462545049455171
Found probable prime factor of 40 digits: 1116164463888701212766808462545049455171
Composite cofactor 2877844495788575168113607192129997691026661911215134817394216371163195475768528619368913071644015537645015736907890065295017724885610399161647249281604057553 has 157 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 1, 2008 09:00:00 UTC 2008 年 7 月 1 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 16, 2010 11:17:04 UTC 2010 年 10 月 16 日 (土) 20 時 17 分 4 秒 (日本時間)
403e61110110Ignacio SantosOctober 16, 2010 11:17:04 UTC 2010 年 10 月 16 日 (土) 20 時 17 分 4 秒 (日本時間)
1000Dmitry DomanovJune 25, 2013 14:05:34 UTC 2013 年 6 月 25 日 (火) 23 時 5 分 34 秒 (日本時間)
4511e61032 / 422032Ignacio SantosOctober 16, 2010 11:17:04 UTC 2010 年 10 月 16 日 (土) 20 時 17 分 4 秒 (日本時間)
1000Dmitry DomanovJune 25, 2013 14:05:34 UTC 2013 年 6 月 25 日 (火) 23 時 5 分 34 秒 (日本時間)

22×10201-139

c172

composite cofactor 合成数の残り
6379698519507424097271193214893027870251349020011680986779356292260274783045831650559681583781259514728519897799322634720826776191537044492810734762990740556932830601278331<172>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 15, 2008 15:29:11 UTC 2008 年 8 月 16 日 (土) 0 時 29 分 11 秒 (日本時間)
351e6300Ignacio SantosOctober 16, 2010 11:17:35 UTC 2010 年 10 月 16 日 (土) 20 時 17 分 35 秒 (日本時間)
403e61110110Ignacio SantosOctober 16, 2010 11:17:35 UTC 2010 年 10 月 16 日 (土) 20 時 17 分 35 秒 (日本時間)
1000Dmitry DomanovJune 24, 2013 14:19:34 UTC 2013 年 6 月 24 日 (月) 23 時 19 分 34 秒 (日本時間)
4511e61532 / 422032Ignacio SantosOctober 16, 2010 11:17:35 UTC 2010 年 10 月 16 日 (土) 20 時 17 分 35 秒 (日本時間)
1500Dmitry DomanovJune 24, 2013 14:19:34 UTC 2013 年 6 月 24 日 (月) 23 時 19 分 34 秒 (日本時間)

22×10203-139

c171

composite cofactor 合成数の残り
331819581998259431568224954311023155698272772826663100764539615274466371224589572115419391858965005704911152008191992106503346127225085431765272631993047487194144439602819<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 15, 2008 15:29:27 UTC 2008 年 8 月 16 日 (土) 0 時 29 分 27 秒 (日本時間)
351e6300Ignacio SantosOctober 16, 2010 11:18:06 UTC 2010 年 10 月 16 日 (土) 20 時 18 分 6 秒 (日本時間)
403e61110110Ignacio SantosOctober 16, 2010 11:18:06 UTC 2010 年 10 月 16 日 (土) 20 時 18 分 6 秒 (日本時間)
1000Dmitry DomanovJune 24, 2013 14:19:55 UTC 2013 年 6 月 24 日 (月) 23 時 19 分 55 秒 (日本時間)
4511e61532 / 422032Ignacio SantosOctober 16, 2010 11:18:06 UTC 2010 年 10 月 16 日 (土) 20 時 18 分 6 秒 (日本時間)
1500Dmitry DomanovJune 24, 2013 14:19:55 UTC 2013 年 6 月 24 日 (月) 23 時 19 分 55 秒 (日本時間)

22×10205-139

c174

composite cofactor 合成数の残り
375136932746806673010188532266271930715404362239583393243165334861455510905017222285841437866060631702908313430384369098396421771629719467614707267525774532447157252186108513<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 15, 2008 15:29:37 UTC 2008 年 8 月 16 日 (土) 0 時 29 分 37 秒 (日本時間)
351e6300Ignacio SantosOctober 16, 2010 11:18:34 UTC 2010 年 10 月 16 日 (土) 20 時 18 分 34 秒 (日本時間)
403e61110110Ignacio SantosOctober 16, 2010 11:18:34 UTC 2010 年 10 月 16 日 (土) 20 時 18 分 34 秒 (日本時間)
1000Dmitry DomanovJune 24, 2013 14:20:16 UTC 2013 年 6 月 24 日 (月) 23 時 20 分 16 秒 (日本時間)
4511e61532 / 422032Ignacio SantosOctober 16, 2010 11:18:34 UTC 2010 年 10 月 16 日 (土) 20 時 18 分 34 秒 (日本時間)
1500Dmitry DomanovJune 24, 2013 14:20:16 UTC 2013 年 6 月 24 日 (月) 23 時 20 分 16 秒 (日本時間)

22×10207-139

c175

name 名前Warut Roonguthai
date 日付April 9, 2013 03:21:29 UTC 2013 年 4 月 9 日 (火) 12 時 21 分 29 秒 (日本時間)
composite number 合成数
4173955316675178524122360739331044975346785108223996412319093733886050139383308634651633476224291229166917118552826558313309372089349802680910236929173965067756758570986903661<175>
prime factors 素因数
65970380570855871593677943985965801<35>
63270141547722579815999420078354906864612257311886734968566348526467492380064974645776600939811685929766257659734241226605659130807366149861<140>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4287807768
Step 1 took 8924ms
Step 2 took 5304ms
********** Factor found in step 2: 65970380570855871593677943985965801
Found probable prime factor of 35 digits: 65970380570855871593677943985965801
Probable prime cofactor 63270141547722579815999420078354906864612257311886734968566348526467492380064974645776600939811685929766257659734241226605659130807366149861 has 140 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)

22×10209-139

c159

composite cofactor 合成数の残り
797675551458970186582701228830505979911946631950556344658198777387941233769688336775853958786614530486663574995268800660125622758102255422568638329400675980403<159>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 24, 2013 14:22:04 UTC 2013 年 6 月 24 日 (月) 23 時 22 分 4 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 24, 2013 14:22:04 UTC 2013 年 6 月 24 日 (月) 23 時 22 分 4 秒 (日本時間)

22×10210-139

c188

composite cofactor 合成数の残り
58609145833822859278584201170156191092150844525074607078702354837103559812850524348284949378825318414554465308828180150531330938758016768112704631952567606157434334579044635679678695286631<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
1000Dmitry DomanovJune 25, 2013 14:06:15 UTC 2013 年 6 月 25 日 (火) 23 時 6 分 15 秒 (日本時間)
403e61000Dmitry DomanovJune 25, 2013 14:06:15 UTC 2013 年 6 月 25 日 (火) 23 時 6 分 15 秒 (日本時間)
4511e61500 / 4208Dmitry DomanovJune 28, 2013 14:43:37 UTC 2013 年 6 月 28 日 (金) 23 時 43 分 37 秒 (日本時間)

22×10211-139

c208

name 名前Warut Roonguthai
date 日付April 9, 2013 09:13:10 UTC 2013 年 4 月 9 日 (火) 18 時 13 分 10 秒 (日本時間)
composite number 合成数
5880308983508406168978697244273380910378745355892336888247400636142517306818485553149974607756662122791543046534627001309705182690508646727073477133616657311629647448747761473284687140833400155026327747039799<208>
prime factors 素因数
12182415030655068206170256224431301<35>
composite cofactor 合成数の残り
482688282143693508844069107266823728097489271628683510672069318151000294668901417472453969682320499862010322564407610262782555808484677661893609559629449633946047661345041099<174>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1976778129
Step 1 took 10015ms
Step 2 took 5975ms
********** Factor found in step 2: 12182415030655068206170256224431301
Found probable prime factor of 35 digits: 12182415030655068206170256224431301
Composite cofactor 482688282143693508844069107266823728097489271628683510672069318151000294668901417472453969682320499862010322564407610262782555808484677661893609559629449633946047661345041099 has 174 digits
software ソフトウェア
GMP-ECM 6.3

c174

name 名前Dmitry Domanov
date 日付April 10, 2013 13:01:26 UTC 2013 年 4 月 10 日 (水) 22 時 1 分 26 秒 (日本時間)
composite number 合成数
482688282143693508844069107266823728097489271628683510672069318151000294668901417472453969682320499862010322564407610262782555808484677661893609559629449633946047661345041099<174>
prime factors 素因数
1758771287877408336678471205726846517117<40>
composite cofactor 合成数の残り
274446305480817206702893874470342698642808980720420299514207610885039441317472352715347296721762888365554209691641375136067860638479847<135>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=578670410
Step 1 took 32936ms
Step 2 took 11354ms
********** Factor found in step 2: 1758771287877408336678471205726846517117
Found probable prime factor of 40 digits: 1758771287877408336678471205726846517117

c135

name 名前Erik Branger
date 日付July 1, 2013 06:45:01 UTC 2013 年 7 月 1 日 (月) 15 時 45 分 1 秒 (日本時間)
composite number 合成数
274446305480817206702893874470342698642808980720420299514207610885039441317472352715347296721762888365554209691641375136067860638479847<135>
prime factors 素因数
696189944084242788289599229366675265785803148761204263643444599<63>
394211820801030851634787765253043353787413750486296495584330824790023953<72>
factorization results 素因数分解の結果
Number: 24443_211
N = 274446305480817206702893874470342698642808980720420299514207610885039441317472352715347296721762888365554209691641375136067860638479847 (135 digits)
Divisors found:
r1=696189944084242788289599229366675265785803148761204263643444599 (pp63)
r2=394211820801030851634787765253043353787413750486296495584330824790023953 (pp72)
Version: Msieve v. 1.51 (SVN 845)
Total time: 136.63 hours.
Factorization parameters were as follows:
# Murphy_E = 4.277e-11, selected by Erik Branger
n: 274446305480817206702893874470342698642808980720420299514207610885039441317472352715347296721762888365554209691641375136067860638479847
Y0: -237920161494574896716572338
Y1: 54533847848711
c0: -52188536075565598535572974920346935
c1: -58145464571331738699185075346
c2: 33730843599261533749385
c3: 27660800110561902
c4: -4852541814
c5: 360
skew: 2799263.38
type: gnfs
# selected mechanically
rlim: 12900000
alim: 12900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 12900000/12900000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20422434
Relations: 3187166 relations
Pruned matrix : 1902597 x 1902824
Polynomial selection time: 0.00 hours.
Total sieving time: 132.49 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 3.24 hours.
time per square root: 0.76 hours.
Prototype def-par.txt line would be: gnfs,134,5,65,2000,1e-05,0.28,250,20,50000,3600,12900000,12900000,28,28,54,54,2.6,2.6,100000
total time: 136.63 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 18, 2013 16:30:14 UTC 2013 年 5 月 19 日 (日) 1 時 30 分 14 秒 (日本時間)
403e6110Ignacio SantosMay 18, 2013 16:30:14 UTC 2013 年 5 月 19 日 (日) 1 時 30 分 14 秒 (日本時間)
4511e61222 / 443732Ignacio SantosMay 18, 2013 16:30:14 UTC 2013 年 5 月 19 日 (日) 1 時 30 分 14 秒 (日本時間)
690Ignacio SantosJune 9, 2013 21:55:42 UTC 2013 年 6 月 10 日 (月) 6 時 55 分 42 秒 (日本時間)
500Dmitry DomanovJune 25, 2013 14:06:42 UTC 2013 年 6 月 25 日 (火) 23 時 6 分 42 秒 (日本時間)

22×10213-139

c143

name 名前Erik Branger
date 日付June 25, 2017 19:37:27 UTC 2017 年 6 月 26 日 (月) 4 時 37 分 27 秒 (日本時間)
composite number 合成数
11067588039719972160769035555164568989760177749438835423187083871896140667452803366905776407675937851584865310815379977810648659182770993964129<143>
prime factors 素因数
381373670716391656766226476552257331015599875592391669<54>
29020325443363861843169515729579942965463452277640407618739687891694143390278851655745341<89>
factorization results 素因数分解の結果
Number: 24443_213
N = 11067588039719972160769035555164568989760177749438835423187083871896140667452803366905776407675937851584865310815379977810648659182770993964129 (143 digits)
Divisors found:
r1=381373670716391656766226476552257331015599875592391669 (pp54)
r2=29020325443363861843169515729579942965463452277640407618739687891694143390278851655745341 (pp89)
Version: Msieve v. 1.51 (SVN 845)
Total time: 468.61 hours.
Factorization parameters were as follows:
# Murphy_E = 1.70442156e-11, selected by Maksym Voznyy
# selected by CADO-NFS
n: 11067588039719972160769035555164568989760177749438835423187083871896140667452803366905776407675937851584865310815379977810648659182770993964129
Y0: -2673441286840101834908323680
Y1: 1795839369513807871
c0: -182917741404920206063352531045290
c1: -4636483046014655419918473549
c2: 12878746598885472415120
c3: 207933948302171641
c4: -297045206050
c5: 810600
skew: 214393.14053
type: gnfs
# selected mechanically
rlim: 23000000
alim: 23000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23115833
Relations: 4262850 relations
Pruned matrix : 2658429 x 2658658
Polynomial selection time: 0.00 hours.
Total sieving time: 460.73 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 7.19 hours.
time per square root: 0.47 hours.
Prototype def-par.txt line would be: gnfs,142,5,65,2000,1e-05,0.28,250,20,50000,3600,23000000,23000000,28,28,56,56,2.6,2.6,100000
total time: 468.61 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 19, 2013 08:32:31 UTC 2013 年 5 月 19 日 (日) 17 時 32 分 31 秒 (日本時間)
403e61110110Ignacio SantosMay 19, 2013 08:32:31 UTC 2013 年 5 月 19 日 (日) 17 時 32 分 31 秒 (日本時間)
1000Dmitry DomanovJune 25, 2013 14:07:00 UTC 2013 年 6 月 25 日 (火) 23 時 7 分 0 秒 (日本時間)
4511e6458232Ignacio SantosMay 19, 2013 08:32:31 UTC 2013 年 5 月 19 日 (日) 17 時 32 分 31 秒 (日本時間)
1500Dmitry DomanovJune 25, 2013 14:07:00 UTC 2013 年 6 月 25 日 (火) 23 時 7 分 0 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:09:42 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 42 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:54 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 54 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:41 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 41 秒 (日本時間)

22×10214-139

c178

name 名前Warut Roonguthai
date 日付April 7, 2013 17:43:20 UTC 2013 年 4 月 8 日 (月) 2 時 43 分 20 秒 (日本時間)
composite number 合成数
6307324892131424014749731853563583972529085185008953604726371562781789517956752021175859122188870057474833536293016282028395654739462802781493814942539325765249627937859237661061<178>
prime factors 素因数
12095738582700049909037449237<29>
composite cofactor 合成数の残り
521450166023965321298235389369832670656429658922037945495616555403514889298867416428561505909752011913347234469573412523938040907828450364224522309553<150>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1098193403
Step 1 took 8580ms
Step 2 took 5226ms
********** Factor found in step 2: 12095738582700049909037449237
Found probable prime factor of 29 digits: 12095738582700049909037449237
Composite cofactor 521450166023965321298235389369832670656429658922037945495616555403514889298867416428561505909752011913347234469573412523938040907828450364224522309553 has 150 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
351e6418118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 19, 2013 11:58:35 UTC 2013 年 5 月 19 日 (日) 20 時 58 分 35 秒 (日本時間)
403e61110110Ignacio SantosMay 19, 2013 11:58:35 UTC 2013 年 5 月 19 日 (日) 20 時 58 分 35 秒 (日本時間)
1000Dmitry DomanovJune 25, 2013 14:07:16 UTC 2013 年 6 月 25 日 (火) 23 時 7 分 16 秒 (日本時間)
4511e6422232Ignacio SantosMay 19, 2013 11:58:35 UTC 2013 年 5 月 19 日 (日) 20 時 58 分 35 秒 (日本時間)
1500Dmitry DomanovJune 25, 2013 14:07:16 UTC 2013 年 6 月 25 日 (火) 23 時 7 分 16 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:05 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 5 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:08 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 8 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:08 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 8 秒 (日本時間)
540Ignacio SantosDecember 23, 2015 22:41:23 UTC 2015 年 12 月 24 日 (木) 7 時 41 分 23 秒 (日本時間)

22×10215-139

c213

name 名前Bob Backstrom
date 日付October 8, 2017 20:29:55 UTC 2017 年 10 月 9 日 (月) 5 時 29 分 55 秒 (日本時間)
composite number 合成数
302905135618890265730414429299187663499931157923722979485061269447886548258295470191380972050117031529670934875395841938592867960897700674652347514801046399559410711827068704392124466473908853091009224838221120749<213>
prime factors 素因数
683607426643665532872394986438059580296259508747927046337397268475719564817884498116471827453199<96>
443098076195683846186285445890434448446930019363745514767644748393928013189770976186335014112328966960248336510672451<117>
factorization results 素因数分解の結果
Number: n
N=302905135618890265730414429299187663499931157923722979485061269447886548258295470191380972050117031529670934875395841938592867960897700674652347514801046399559410711827068704392124466473908853091009224838221120749
  ( 213 digits)
SNFS difficulty: 217 digits.
Divisors found:

Mon Oct  9 07:16:48 2017  p96 factor: 683607426643665532872394986438059580296259508747927046337397268475719564817884498116471827453199
Mon Oct  9 07:16:48 2017  p117 factor: 443098076195683846186285445890434448446930019363745514767644748393928013189770976186335014112328966960248336510672451
Mon Oct  9 07:16:48 2017  elapsed time 05:02:49 (Msieve 1.53 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.111).
Factorization parameters were as follows:
#
# 22x10^215-13 24(214)3
#
n: 302905135618890265730414429299187663499931157923722979485061269447886548258295470191380972050117031529670934875395841938592867960897700674652347514801046399559410711827068704392124466473908853091009224838221120749
m: 1000000000000000000000000000000000000
deg: 6
c6: 11
c0: -65
skew: 1.34
# Murphy_E = 3.587e-12
type: snfs
lss: 1
rlim: 29000000
alim: 29000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 29000000/29000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 51300000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 12112243 hash collisions in 67958423 relations (58261006 unique)
Msieve: matrix is 3595413 x 3595638 (1018.1 MB)

Sieving start time: 2017/10/07 22:26:43
Sieving end time  : 2017/10/09 02:11:30

Total sieving time: 27hrs 44min 47secs.

Total relation processing time: 4hrs 28min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 15min 15sec.

Prototype def-par.txt line would be:
snfs,217,6,0,0,0,0,0,0,0,0,29000000,29000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.178577] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16306368K/16703460K available (9091K kernel code, 1667K rwdata, 3820K rodata, 2232K init, 2364K bss, 397092K reserved, 0K cma-reserved)
[    0.215024] x86/mm: Memory block size: 128MB
[    0.000018] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.38 BogoMIPS (lpj=11976772)
[    0.212835] smpboot: Total of 16 processors activated (95814.17 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 20, 2013 18:37:02 UTC 2013 年 5 月 21 日 (火) 3 時 37 分 2 秒 (日本時間)
403e61110110Ignacio SantosMay 20, 2013 18:37:02 UTC 2013 年 5 月 21 日 (火) 3 時 37 分 2 秒 (日本時間)
1000Dmitry DomanovJune 25, 2013 14:07:32 UTC 2013 年 6 月 25 日 (火) 23 時 7 分 32 秒 (日本時間)
4511e6458232Ignacio SantosMay 20, 2013 18:37:02 UTC 2013 年 5 月 21 日 (火) 3 時 37 分 2 秒 (日本時間)
1500Dmitry DomanovJune 28, 2013 14:43:59 UTC 2013 年 6 月 28 日 (金) 23 時 43 分 59 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:14:32 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 32 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:46 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 46 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:17 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 17 秒 (日本時間)

22×10216-139

c206

composite cofactor 合成数の残り
80745823079840725799597622994695803479549899312572031407887681938382465953122749495257989304745785044241823924529739859655063675928175676753515114116129326208095067729568303494233701577213626141566122447563<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 25, 2013 14:07:43 UTC 2013 年 6 月 25 日 (火) 23 時 7 分 43 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 28, 2013 14:44:17 UTC 2013 年 6 月 28 日 (金) 23 時 44 分 17 秒 (日本時間)

22×10217-139

c180

name 名前Dmitry Domanov
date 日付April 11, 2013 04:58:30 UTC 2013 年 4 月 11 日 (木) 13 時 58 分 30 秒 (日本時間)
composite number 合成数
226812683903025867316154044609234079690151260769449941597061442832436022694166721719114753786812099698621669419543632550083236752963200503698900687981233257294941293168561752673577<180>
prime factors 素因数
8138238962941383769449037684288237712003<40>
7010707076645027870921434123995629323343903<43>
3975347318389818543333597496130750994502831401135862131881235151935393011111255959671096093765053<97>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=366092491
Step 1 took 32432ms
Step 2 took 11093ms
********** Factor found in step 2: 7010707076645027870921434123995629323343903
Found probable prime factor of 43 digits: 7010707076645027870921434123995629323343903

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1925678747
Step 1 took 21910ms
Step 2 took 8772ms
********** Factor found in step 2: 8138238962941383769449037684288237712003
Found probable prime factor of 40 digits: 8138238962941383769449037684288237712003

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)

22×10219-139

c204

name 名前Warut Roonguthai
date 日付April 9, 2013 14:21:30 UTC 2013 年 4 月 9 日 (火) 23 時 21 分 30 秒 (日本時間)
composite number 合成数
160356730996850722152997377114373680646399086336154394139401009089303460534334194974427302067179307969957935991881036412856410646608850390085006033057739640546129519706251483092679713820568839243141551707<204>
prime factors 素因数
183893234687963749679209112027013438337<39>
composite cofactor 合成数の残り
872009953324000408338166147214564106721894391742833756237240581053045527936339559314613173856996162735375049263026648206695338037463321953261183898769929775148290011<165>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=74223287
Step 1 took 9875ms
********** Factor found in step 1: 183893234687963749679209112027013438337
Found probable prime factor of 39 digits: 183893234687963749679209112027013438337
Composite cofactor 872009953324000408338166147214564106721894391742833756237240581053045527936339559314613173856996162735375049263026648206695338037463321953261183898769929775148290011 has 165 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 24, 2013 14:22:47 UTC 2013 年 6 月 24 日 (月) 23 時 22 分 47 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 24, 2013 14:22:47 UTC 2013 年 6 月 24 日 (月) 23 時 22 分 47 秒 (日本時間)

22×10220-139

c200

composite cofactor 合成数の残り
11287523037537898158571539066879008787308596059368213174161653158913490511384060829213368066328878653958735845046620836479001870849576342979432032163527988725814100972159587702270202245335581734085159<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 26, 2013 05:31:53 UTC 2013 年 6 月 26 日 (水) 14 時 31 分 53 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 28, 2013 14:44:38 UTC 2013 年 6 月 28 日 (金) 23 時 44 分 38 秒 (日本時間)

22×10221-139

c188

composite cofactor 合成数の残り
36724905747647945951590302816226880157217959806138691370771625012664268571982074124167559640087902826721410443407309118366866884991124850920418036597402887652893962471991712731972107537009<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 26, 2013 05:32:03 UTC 2013 年 6 月 26 日 (水) 14 時 32 分 3 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 28, 2013 14:44:53 UTC 2013 年 6 月 28 日 (金) 23 時 44 分 53 秒 (日本時間)

22×10222-139

c189

name 名前Dmitry Domanov
date 日付July 1, 2013 04:54:56 UTC 2013 年 7 月 1 日 (月) 13 時 54 分 56 秒 (日本時間)
composite number 合成数
146163331219284563228274763584008148761285188125027387571896862093916344803484157475848841452982086156274648226984939281035917466268734056854029101900018344008922750060325951333609278220651<189>
prime factors 素因数
2877577990220271122222357378540294487557<40>
50793873082166624370950908815648554876298082146503529179378153261657654424737532006496609567985019300416191047315029163037618729862662192379884500143<149>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3160251170
Step 1 took 99556ms
Step 2 took 26722ms
********** Factor found in step 2: 2877577990220271122222357378540294487557
Found probable prime factor of 40 digits: 2877577990220271122222357378540294487557

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 26, 2013 05:32:15 UTC 2013 年 6 月 26 日 (水) 14 時 32 分 15 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 28, 2013 14:45:09 UTC 2013 年 6 月 28 日 (金) 23 時 45 分 9 秒 (日本時間)

22×10223-139

c156

composite cofactor 合成数の残り
237380860727588488379000394136358099399260262046513504001062836191889065549601264625214066343006749922077392714657284862801137330458486154523584011950694127<156>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 19, 2013 15:48:58 UTC 2013 年 5 月 20 日 (月) 0 時 48 分 58 秒 (日本時間)
403e61110110Ignacio SantosMay 19, 2013 15:48:58 UTC 2013 年 5 月 20 日 (月) 0 時 48 分 58 秒 (日本時間)
1000Dmitry DomanovJune 26, 2013 05:32:32 UTC 2013 年 6 月 26 日 (水) 14 時 32 分 32 秒 (日本時間)
4511e6425032Ignacio SantosMay 19, 2013 15:48:58 UTC 2013 年 5 月 20 日 (月) 0 時 48 分 58 秒 (日本時間)
1500Dmitry DomanovJune 26, 2013 05:32:32 UTC 2013 年 6 月 26 日 (水) 14 時 32 分 32 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:12:05 UTC 2013 年 11 月 9 日 (土) 2 時 12 分 5 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:59 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 59 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:52 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 52 秒 (日本時間)
568Ignacio SantosDecember 24, 2015 15:54:29 UTC 2015 年 12 月 25 日 (金) 0 時 54 分 29 秒 (日本時間)

22×10224-139

c215

name 名前Warut Roonguthai
date 日付April 10, 2013 00:09:22 UTC 2013 年 4 月 10 日 (水) 9 時 9 分 22 秒 (日本時間)
composite number 合成数
18186823093176179882612963682155508803064739822290930670896467179829921016873957659501901814943148916761360393202635582080826400474643855681377186745446361932614000198390678642828190981248964853718279920368394260027<215>
prime factors 素因数
8485429048536243401021871763386052051<37>
composite cofactor 合成数の残り
2143300355132124983241687394114220066310838674671222488478888208964495054007174874173651932880806961024373905764533204191724496139189595455526813735947310496303759105735859197177<178>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3918988406
Step 1 took 11497ms
********** Factor found in step 1: 8485429048536243401021871763386052051
Found probable prime factor of 37 digits: 8485429048536243401021871763386052051
Composite cofactor 2143300355132124983241687394114220066310838674671222488478888208964495054007174874173651932880806961024373905764533204191724496139189595455526813735947310496303759105735859197177 has 178 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 26, 2013 05:32:58 UTC 2013 年 6 月 26 日 (水) 14 時 32 分 58 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 28, 2013 14:45:34 UTC 2013 年 6 月 28 日 (金) 23 時 45 分 34 秒 (日本時間)

22×10225-139

c177

composite cofactor 合成数の残り
559078509328977441963833001891053220104415996476458206422476981944916018259604361679629920484974833811103660212370319714743021788685861329876900748824317184542649202764489362507<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 24, 2013 14:23:31 UTC 2013 年 6 月 24 日 (月) 23 時 23 分 31 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 24, 2013 14:23:31 UTC 2013 年 6 月 24 日 (月) 23 時 23 分 31 秒 (日本時間)

22×10226-139

c214

name 名前Warut Roonguthai
date 日付April 8, 2013 04:48:43 UTC 2013 年 4 月 8 日 (月) 13 時 48 分 43 秒 (日本時間)
composite number 合成数
6837440780649269916219595194463228121302024809898223512383557540294086788846853107111543606721902114334165789772388075614269741760415400135385578834568281189060791946435934516431147025969283326338856862245270167093<214>
prime factors 素因数
330004237407684525185438800253128096889<39>
20719251468890539483974110894253681786925750647141052307694375864697079890346102606673116162050284452443670100351793504871935917160140027382943732920149778095156511140269639837<176>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3003970174
Step 1 took 11481ms
Step 2 took 6381ms
********** Factor found in step 2: 330004237407684525185438800253128096889
Found probable prime factor of 39 digits: 330004237407684525185438800253128096889
Probable prime cofactor 20719251468890539483974110894253681786925750647141052307694375864697079890346102606673116162050284452443670100351793504871935917160140027382943732920149778095156511140269639837 has 176 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)

22×10227-139

c205

composite cofactor 合成数の残り
4415691795943986495634291514197016111379656763136863351429507648227005598373153087918327594651522594438437439164971635187450996889154413863136144254316299486202049123642150723895768340241149665233818620613<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 26, 2013 05:33:17 UTC 2013 年 6 月 26 日 (水) 14 時 33 分 17 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 28, 2013 14:45:52 UTC 2013 年 6 月 28 日 (金) 23 時 45 分 52 秒 (日本時間)

22×10228-139

c174

composite cofactor 合成数の残り
304586004092787539266816766301701907449762656056762794450848073936972352350012367708659266845928579391160717368751771719403829667960476955664455264706382532842773446094111731<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 26, 2013 05:33:28 UTC 2013 年 6 月 26 日 (水) 14 時 33 分 28 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 26, 2013 05:33:28 UTC 2013 年 6 月 26 日 (水) 14 時 33 分 28 秒 (日本時間)

22×10229-139

c217

composite cofactor 合成数の残り
6789561557369862948125200192412094787079351415511560629256966818610823672668067925619382826352593364716483099754156257064981793295449126396082049150804686287717636436901160264390805778722964006300477976922167179500813<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 26, 2013 05:33:46 UTC 2013 年 6 月 26 日 (水) 14 時 33 分 46 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 28, 2013 14:46:10 UTC 2013 年 6 月 28 日 (金) 23 時 46 分 10 秒 (日本時間)

22×10230-139

c225

name 名前Warut Roonguthai
date 日付April 8, 2013 15:01:22 UTC 2013 年 4 月 9 日 (火) 0 時 1 分 22 秒 (日本時間)
composite number 合成数
108465971192719921782230010078953859512606186336945891109335227346401214937203872491545693829454713460267115203039177070648669401093800435135894796685220757093464979468624221072581533007748069441295233576292178533608107219993<225>
prime factors 素因数
19092932943830435237796501695136551<35>
composite cofactor 合成数の残り
5680948627003317593868050711338633051800087495474675696920986375318893177373619507563788068362303578576797486972094302394474609594046875296073361993330661280775540238483625920922685909233343<190>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3085243743
Step 1 took 11560ms
Step 2 took 6552ms
********** Factor found in step 2: 19092932943830435237796501695136551
Found probable prime factor of 35 digits: 19092932943830435237796501695136551
Composite cofactor 5680948627003317593868050711338633051800087495474675696920986375318893177373619507563788068362303578576797486972094302394474609594046875296073361993330661280775540238483625920922685909233343 has 190 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 26, 2013 05:34:08 UTC 2013 年 6 月 26 日 (水) 14 時 34 分 8 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 28, 2013 14:46:23 UTC 2013 年 6 月 28 日 (金) 23 時 46 分 23 秒 (日本時間)

22×10232-139

c159

composite cofactor 合成数の残り
451884012331788144581460527586468154237854458475681193459086304248377777784942865230723581800112530075158751289160592262866122017142666065784069429380189014747<159>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 19, 2013 16:58:21 UTC 2013 年 5 月 20 日 (月) 1 時 58 分 21 秒 (日本時間)
403e61110110Ignacio SantosMay 19, 2013 16:58:21 UTC 2013 年 5 月 20 日 (月) 1 時 58 分 21 秒 (日本時間)
1000Dmitry DomanovJune 26, 2013 05:34:23 UTC 2013 年 6 月 26 日 (水) 14 時 34 分 23 秒 (日本時間)
4511e6568232Ignacio SantosMay 19, 2013 16:58:21 UTC 2013 年 5 月 20 日 (月) 1 時 58 分 21 秒 (日本時間)
1500Dmitry DomanovJune 26, 2013 05:34:23 UTC 2013 年 6 月 26 日 (水) 14 時 34 分 23 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:12:37 UTC 2013 年 11 月 9 日 (土) 2 時 12 分 37 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:24 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 24 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:13 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 13 秒 (日本時間)
2000Serge BatalovDecember 20, 2014 04:01:51 UTC 2014 年 12 月 20 日 (土) 13 時 1 分 51 秒 (日本時間)

22×10233-139

c233

name 名前Warut Roonguthai
date 日付April 8, 2013 05:58:00 UTC 2013 年 4 月 8 日 (月) 14 時 58 分 0 秒 (日本時間)
composite number 合成数
81481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481<233>
prime factors 素因数
75155472526906840438725574693127<32>
1084172299659347233915151763827547038384121537429568508131462020886484304162525440028474095935262256260222232523433587552909649583873290043817403481690792535707456238194627821364752244134326699272232303<202>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=882889676
Step 1 took 13073ms
Step 2 took 7020ms
********** Factor found in step 2: 75155472526906840438725574693127
Found probable prime factor of 32 digits: 75155472526906840438725574693127
Probable prime cofactor 1084172299659347233915151763827547038384121537429568508131462020886484304162525440028474095935262256260222232523433587552909649583873290043817403481690792535707456238194627821364752244134326699272232303 has 202 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)

22×10234-139

c173

composite cofactor 合成数の残り
23749484213995442416028153287699388461765751685613626033844111351745545712128844571702816639222975524952591233148265516445839661534334569013902752643697899769039983765753747<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 26, 2013 05:34:42 UTC 2013 年 6 月 26 日 (水) 14 時 34 分 42 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 28, 2013 14:46:42 UTC 2013 年 6 月 28 日 (金) 23 時 46 分 42 秒 (日本時間)

22×10235-139

c205

name 名前Warut Roonguthai
date 日付April 10, 2013 06:17:04 UTC 2013 年 4 月 10 日 (水) 15 時 17 分 4 秒 (日本時間)
composite number 合成数
3288475900482029168243977540658124648956783296853187744642581036052762720213584578799198368244570051719970482593845236382412619096943319015750150277273830481373992903953172543708940982009505969052644592881<205>
prime factors 素因数
6182234727006751152391858043564117<34>
531923494608916047336463914878474818424030965417294316799954858987769935884684409877386718986001029780811096476957074668946118010017691602149497380561708882164420637890093<171>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1123693260
Step 1 took 12168ms
Step 2 took 7223ms
********** Factor found in step 2: 6182234727006751152391858043564117
Found probable prime factor of 34 digits: 6182234727006751152391858043564117
Probable prime cofactor 531923494608916047336463914878474818424030965417294316799954858987769935884684409877386718986001029780811096476957074668946118010017691602149497380561708882164420637890093 has 171 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)

22×10237-139

c194

composite cofactor 合成数の残り
36038043382542782599868082492800477890337600568731557493700428479121794042143119222871581846686287445250296087236027929391820722955692363833672494429257585402246526827404609698680668815985780599<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 26, 2013 05:34:53 UTC 2013 年 6 月 26 日 (水) 14 時 34 分 53 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 28, 2013 14:46:54 UTC 2013 年 6 月 28 日 (金) 23 時 46 分 54 秒 (日本時間)

22×10239-139

c237

name 名前Serge Batalov
date 日付February 25, 2014 07:15:21 UTC 2014 年 2 月 25 日 (火) 16 時 15 分 21 秒 (日本時間)
composite number 合成数
747536527353041114509004417261297995242949371389738362215426435609921848453958545701664967720013591573224600747536527353041114509004417261297995242949371389738362215426435609921848453958545701664967720013591573224600747536527353041114509<237>
prime factors 素因数
99429034325788855348740397163915249820839933273<47>
7518292140942104735062047440879923581408806804058392327222152477168522907056853377997310385264875764414333819604497834054658709352710589439598083251441755836828961808215505999070610121160533<190>
factorization results 素因数分解の結果
Using B1=90000000, B2=1164356356810, polynomial Dickson(30), sigma=3710695252
Step 1 took 687243ms
Step 2 took 291056ms
********** Factor found in step 2: 99429034325788855348740397163915249820839933273
Found probable prime factor of 47 digits: 99429034325788855348740397163915249820839933273
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 1, 2013 17:33:32 UTC 2013 年 6 月 2 日 (日) 2 時 33 分 32 秒 (日本時間)
403e61110110Ignacio SantosJune 1, 2013 17:33:32 UTC 2013 年 6 月 2 日 (日) 2 時 33 分 32 秒 (日本時間)
1000Dmitry DomanovJune 26, 2013 05:35:04 UTC 2013 年 6 月 26 日 (水) 14 時 35 分 4 秒 (日本時間)
4511e6358232Ignacio SantosJune 1, 2013 17:33:32 UTC 2013 年 6 月 2 日 (日) 2 時 33 分 32 秒 (日本時間)
1500Dmitry DomanovJune 28, 2013 14:47:09 UTC 2013 年 6 月 28 日 (金) 23 時 47 分 9 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:17:22 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 22 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:55 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 55 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:24:32 UTC 2014 年 2 月 24 日 (月) 4 時 24 分 32 秒 (日本時間)
5043e63200 / 6705Serge BatalovFebruary 25, 2014 03:53:02 UTC 2014 年 2 月 25 日 (火) 12 時 53 分 2 秒 (日本時間)

22×10241-139

c235

name 名前Warut Roonguthai
date 日付April 8, 2013 16:39:09 UTC 2013 年 4 月 9 日 (火) 1 時 39 分 9 秒 (日本時間)
composite number 合成数
2688485535404012224934781923556897647534829238458242998691795158861204942311393910460502499698859069062757403395657438403405226002831684051330667748806535444376169132233979824895759778049388139186366758284143518836757810114637389841291<235>
prime factors 素因数
2292082648711152286655064882449<31>
1172944412329877785448471340093019604364133545426628291282330747750972763551466207073223558300653774457689674827915608785657426535589805915584926657898595241882341745099236849311605311303646057351559063259<205>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=983188815
Step 1 took 13104ms
Step 2 took 6942ms
********** Factor found in step 2: 2292082648711152286655064882449
Found probable prime factor of 31 digits: 2292082648711152286655064882449
Probable prime cofactor 1172944412329877785448471340093019604364133545426628291282330747750972763551466207073223558300653774457689674827915608785657426535589805915584926657898595241882341745099236849311605311303646057351559063259 has 205 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)

22×10242-139

c228

composite cofactor 合成数の残り
259395682025276979998105660617338851499354472084720002970492407477073379328334071111075949005553803778303214643178746043145577931669610939690578629369165304680587261677040615735527092133634055296336916182920982149147374955254847<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 26, 2013 05:35:14 UTC 2013 年 6 月 26 日 (水) 14 時 35 分 14 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 28, 2013 14:47:30 UTC 2013 年 6 月 28 日 (金) 23 時 47 分 30 秒 (日本時間)

22×10243-139

c171

composite cofactor 合成数の残り
223854682755463679246691105744789219401813948910254499114695349514433959260171419069492137809328791336206396945615539915971732224225524492530212021518517061874710810839989<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 26, 2013 05:35:25 UTC 2013 年 6 月 26 日 (水) 14 時 35 分 25 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 28, 2013 14:47:42 UTC 2013 年 6 月 28 日 (金) 23 時 47 分 42 秒 (日本時間)

22×10244-139

c203

name 名前Warut Roonguthai
date 日付April 10, 2013 03:11:30 UTC 2013 年 4 月 10 日 (水) 12 時 11 分 30 秒 (日本時間)
composite number 合成数
54710508675017354729084445556354648671020802337054473232754087738148725678137140262417025552743880931934500346398982941641766993571283389723030514658022274504028168595821900862960802926296131048156998097<203>
prime factors 素因数
85293501783137704672176532464453024809627<41>
composite cofactor 合成数の残り
641438181470390453350810741425774032428771021243422453709321781810084584939850090649035488015194159848004602954781174887382101853691318815899007104536348491908611<162>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1073185729
Step 1 took 12184ms
Step 2 took 7285ms
********** Factor found in step 2: 85293501783137704672176532464453024809627
Found probable prime factor of 41 digits: 85293501783137704672176532464453024809627
Composite cofactor 641438181470390453350810741425774032428771021243422453709321781810084584939850090649035488015194159848004602954781174887382101853691318815899007104536348491908611 has 162 digits
software ソフトウェア
GMP-ECM 6.3

c162

name 名前Dmitry Domanov
date 日付July 1, 2013 04:53:44 UTC 2013 年 7 月 1 日 (月) 13 時 53 分 44 秒 (日本時間)
composite number 合成数
641438181470390453350810741425774032428771021243422453709321781810084584939850090649035488015194159848004602954781174887382101853691318815899007104536348491908611<162>
prime factors 素因数
20357946006280188747678081399003884197657744571<47>
31508000918781996008774431359747519263925231577348876833220067797805866905632929755055880740394594183526738498577241<116>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=741262518
Step 1 took 71569ms
********** Factor found in step 1: 20357946006280188747678081399003884197657744571
Found probable prime factor of 47 digits: 20357946006280188747678081399003884197657744571

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 19, 2013 19:10:09 UTC 2013 年 5 月 20 日 (月) 4 時 10 分 9 秒 (日本時間)
403e61110110Ignacio SantosMay 19, 2013 19:10:09 UTC 2013 年 5 月 20 日 (月) 4 時 10 分 9 秒 (日本時間)
1000Dmitry DomanovJune 26, 2013 05:35:36 UTC 2013 年 6 月 26 日 (水) 14 時 35 分 36 秒 (日本時間)
4511e61532 / 421632Ignacio SantosMay 19, 2013 19:10:09 UTC 2013 年 5 月 20 日 (月) 4 時 10 分 9 秒 (日本時間)
1500Dmitry DomanovJune 28, 2013 14:47:59 UTC 2013 年 6 月 28 日 (金) 23 時 47 分 59 秒 (日本時間)

22×10245-139

c226

composite cofactor 合成数の残り
1089601151961698605215834391575585228283803312314025923699068458094110066409112688149466975622407416656629243561676466713674032447579125041386891149323951424857291381641856653930339376888746852316094632410698872814541178179737<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 26, 2013 05:35:46 UTC 2013 年 6 月 26 日 (水) 14 時 35 分 46 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 28, 2013 14:48:13 UTC 2013 年 6 月 28 日 (金) 23 時 48 分 13 秒 (日本時間)

22×10246-139

c232

name 名前Warut Roonguthai
date 日付April 9, 2013 00:59:46 UTC 2013 年 4 月 9 日 (火) 9 時 59 分 46 秒 (日本時間)
composite number 合成数
2525056195825675518202511887361779426802804649520523525107705397003089106077586918120908766941915447896073150500824975011974938103947874704461231675089475366884347797449286928924401184844774187193874821064522975848138055793544612759<232>
prime factors 素因数
278468645612881421710828188699379<33>
composite cofactor 合成数の残り
9067649933328333376593068458697989230424460411658754777832054041102850537120578417937195498853801589290941440080741195718573302769137191509779060854789231557736114010884792574243691825754663608950221<199>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=419068284
Step 1 took 13510ms
Step 2 took 7098ms
********** Factor found in step 2: 278468645612881421710828188699379
Found probable prime factor of 33 digits: 278468645612881421710828188699379
Composite cofactor 9067649933328333376593068458697989230424460411658754777832054041102850537120578417937195498853801589290941440080741195718573302769137191509779060854789231557736114010884792574243691825754663608950221 has 199 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 26, 2013 05:35:56 UTC 2013 年 6 月 26 日 (水) 14 時 35 分 56 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 28, 2013 14:48:25 UTC 2013 年 6 月 28 日 (金) 23 時 48 分 25 秒 (日本時間)

22×10248-139

c222

composite cofactor 合成数の残り
775873533096843497771028958502893954703591836937122436740075738465680787290949895637438087720891614640418749317531268319479828852265715589999220801413749749982778129750081857163315984487089558098118547778047205472470763529<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 26, 2013 05:36:06 UTC 2013 年 6 月 26 日 (水) 14 時 36 分 6 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 28, 2013 14:48:39 UTC 2013 年 6 月 28 日 (金) 23 時 48 分 39 秒 (日本時間)

22×10249-139

c221

composite cofactor 合成数の残り
19413413659476974385344245313012157994577673113738894598062222365924618881108215558682309285997247336411141103174734412584963656032557266716315550479202564657982403713497051304469918950408980930833083044757225385699769031<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 26, 2013 05:36:28 UTC 2013 年 6 月 26 日 (水) 14 時 36 分 28 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 28, 2013 14:48:51 UTC 2013 年 6 月 28 日 (金) 23 時 48 分 51 秒 (日本時間)

22×10250-139

c221

name 名前Dmitry Domanov
date 日付June 27, 2013 05:15:24 UTC 2013 年 6 月 27 日 (木) 14 時 15 分 24 秒 (日本時間)
composite number 合成数
11699099267243398215150880984988077671221067888945329834245482987608616614804836477482811081808116519323896978841680472314525795816945348840586954010998854586292044827719420221945004419521095887958343150307283806741183601<221>
prime factors 素因数
908500673306097595371691944626514339470593703<45>
12877369946980398372988864977545366124580884553840152930495472454636762824629043096262670275071810100026777649422695950793532590511644187243260962555862757463708575097939318567<176>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=110737546
Step 1 took 128245ms
Step 2 took 47931ms
********** Factor found in step 2: 908500673306097595371691944626514339470593703
Found probable prime factor of 45 digits: 908500673306097595371691944626514339470593703

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 26, 2013 05:36:42 UTC 2013 年 6 月 26 日 (水) 14 時 36 分 42 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 26, 2013 05:36:42 UTC 2013 年 6 月 26 日 (水) 14 時 36 分 42 秒 (日本時間)

22×10251-139

c251

composite cofactor 合成数の残り
81481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481<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)

22×10253-139

c223

composite cofactor 合成数の残り
1102692123811794720942153003789191511287087999773961354803053675729306514812334657593360163943451885244319757689906167880275147718461187340174300290131144857311516013015470952333350059962933580935127160855917912512151067543<223>

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)

22×10257-139

c233

composite cofactor 合成数の残り
74143934130675001059344648344170546432356691081106897090531846364089599526932413706456317892047957565174699684919111344980831172549594001767990402585777942670194647545159122929576747141820290372033348281749741507296860941134670861877<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)

22×10259-139

c260

composite cofactor 合成数の残り
24444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<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)
403e61200Dmitry DomanovMarch 14, 2016 14:12:28 UTC 2016 年 3 月 14 日 (月) 23 時 12 分 28 秒 (日本時間)
4511e61800Dmitry DomanovMarch 16, 2016 09:30:14 UTC 2016 年 3 月 16 日 (水) 18 時 30 分 14 秒 (日本時間)
5043e67100700Dmitry DomanovMarch 17, 2016 13:59:12 UTC 2016 年 3 月 17 日 (木) 22 時 59 分 12 秒 (日本時間)
2000Dmitry DomanovDecember 30, 2016 15:46:16 UTC 2016 年 12 月 31 日 (土) 0 時 46 分 16 秒 (日本時間)
2000Dmitry DomanovJanuary 12, 2017 17:30:26 UTC 2017 年 1 月 13 日 (金) 2 時 30 分 26 秒 (日本時間)
2400Dmitry DomanovFebruary 3, 2017 15:12:11 UTC 2017 年 2 月 4 日 (土) 0 時 12 分 11 秒 (日本時間)

22×10260-139

c205

composite cofactor 合成数の残り
5727619554059183609436149960638887699009254341465947278884379540469285966042002821006917249254714395434944565330585639395732010548211424084012635663873981436601354792228133875513517577329786611757945238391<205>

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)

22×10261-139

c237

composite cofactor 合成数の残り
850020576052157774664331626620603037368050164224434223310987064392775876335752856022768243425981541902754352690229106166920043598800969313597857443442345884457707369119249803256528934800381303934966343169477403601593711244427402529851991<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)

22×10262-139

c263

composite cofactor 合成数の残り
24444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<263>

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 14:12:40 UTC 2016 年 3 月 14 日 (月) 23 時 12 分 40 秒 (日本時間)
4511e61800Dmitry DomanovMarch 16, 2016 08:21:18 UTC 2016 年 3 月 16 日 (水) 17 時 21 分 18 秒 (日本時間)
5043e67100700Dmitry DomanovMarch 17, 2016 13:57:58 UTC 2016 年 3 月 17 日 (木) 22 時 57 分 58 秒 (日本時間)
2800Dmitry DomanovNovember 10, 2016 15:41:40 UTC 2016 年 11 月 11 日 (金) 0 時 41 分 40 秒 (日本時間)
2000Dmitry DomanovDecember 25, 2016 08:58:28 UTC 2016 年 12 月 25 日 (日) 17 時 58 分 28 秒 (日本時間)
1600Dmitry DomanovDecember 26, 2016 15:08:26 UTC 2016 年 12 月 27 日 (火) 0 時 8 分 26 秒 (日本時間)

22×10263-139

c138

name 名前Dmitry Domanov
date 日付March 17, 2016 14:34:20 UTC 2016 年 3 月 17 日 (木) 23 時 34 分 20 秒 (日本時間)
composite number 合成数
140428241883902872640933754987226747363898024220319468073788743731136996570844607530164609825592290653920872376562991690700480209841847267<138>
prime factors 素因数
2789948508873672252327591093174637821109<40>
3986390858668507369661832524438385105443967924797<49>
12626366532063910557257144678218714771373107970179<50>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3119892943
Step 1 took 79898ms
Step 2 took 27298ms
********** Factor found in step 2: 2789948508873672252327591093174637821109
Found probable prime factor of 40 digits: 2789948508873672252327591093174637821109
Composite cofactor 50333632121617555995915806123317929811352429960479724784496417601782890357014226831527591590628663 has 98 digits


GNFS on c98:
N=50333632121617555995915806123317929811352429960479724784496417601782890357014226831527591590628663
  ( 98 digits)
Divisors found:
 r1=3986390858668507369661832524438385105443967924797 (pp49)
 r2=12626366532063910557257144678218714771373107970179 (pp50)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 2.98 hours.
Scaled time: 4.43 units (timescale=1.485).
Factorization parameters were as follows:
n: 50333632121617555995915806123317929811352429960479724784496417601782890357014226831527591590628663
skew: 2734072.93
c0: 24354818005517684543524449152
c1: 427744998954621362266
c2: -21667575480728867
c3: -135937168
c4: 1428
Y0: -433293844151138860923981
Y1: 134900236075
rlim: 1680000
alim: 1680000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 1680000/1680000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [840000, 1140001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 184354 x 184589
Total sieving time: 2.78 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,97,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1680000,1680000,26,26,52,52,2.5,2.5,100000
total time: 2.98 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
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 13:49:12 UTC 2016 年 3 月 14 日 (月) 22 時 49 分 12 秒 (日本時間)
4511e61600 / 4173800Dmitry DomanovMarch 16, 2016 13:48:42 UTC 2016 年 3 月 16 日 (水) 22 時 48 分 42 秒 (日本時間)
800Dmitry DomanovMarch 16, 2016 13:49:20 UTC 2016 年 3 月 16 日 (水) 22 時 49 分 20 秒 (日本時間)

22×10265-139

c224

composite cofactor 合成数の残り
11127430076168470528397858411070645347199085069445122316457580184254902106954929320195723270056138329929032975296719940659532809869985245903994784137541993792258077410424928445900657014953848919565984808533763627550840725739<224>

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)

22×10266-139

c221

composite cofactor 合成数の残り
86857681878249434140987983497627613844364107328153800201093675143554905401365502707654350138575895486994400737858406425424407934330560220952793682980500001237439051483190152911627752843034262331113203398355612329763724329<221>

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)

22×10267-139

c264

composite cofactor 合成数の残り
192825151411567756128772142024488794229269105028354062037110076867117176338600965878712979762123881395002322666596548429789732937165294978657761650583296083019992462289535729624078602543539042710771037662257982523029458424267921783106763780424741219882026066454559<264>

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)

22×10268-139

c238

composite cofactor 合成数の残り
5510116070635722382841790351125665064966647563781821169835230873765958121782460929776582824678644581864305258024721129173239076458762827447499931164127803365151797971944730581818158244161028980552429731719163438432568374785852004929838729<238>

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)

22×10269-139

c216

composite cofactor 合成数の残り
379464230256844132140694505550381608802457709468034111156004753566175493741527262185589380832551184960356016670483179934133938456848806768634730925155305790650452501707787142976038658265601176076694934616880600893347<216>

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)

22×10271-139

c249

composite cofactor 合成数の残り
168498819830380578397853877846400096524772825142562728707714968150128484973985197582709746986738990290475794594174503992546879266573293574276065578194017858173606521360715734721280695757715380987448606800927765984737513751465857268405739434769670169<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)

22×10272-139

c184

name 名前Dmitry Domanov
date 日付March 18, 2016 10:37:19 UTC 2016 年 3 月 18 日 (金) 19 時 37 分 19 秒 (日本時間)
composite number 合成数
2439611513252712051937175169033579361754459554248696018604312596149766154788086267174022600221120027894705725957899181254010228559217436069167772620759761917768323877674178500624793217<184>
prime factors 素因数
29548708282351254207398922106715579884382363<44>
82562374298772119523403497886478969665504163181850621945467011154999972911739214179726050753891531805610171252638181266350227274784572432659<140>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=452824302
Step 1 took 329221ms
Step 2 took 93964ms
********** Factor found in step 2: 29548708282351254207398922106715579884382363
Found probable prime factor of 44 digits: 29548708282351254207398922106715579884382363

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 14:10:33 UTC 2016 年 3 月 14 日 (月) 23 時 10 分 33 秒 (日本時間)
4511e61200 / 2069Dmitry DomanovMarch 16, 2016 13:37:26 UTC 2016 年 3 月 16 日 (水) 22 時 37 分 26 秒 (日本時間)
5043e6600 / 7233Dmitry DomanovMarch 18, 2016 06:12:50 UTC 2016 年 3 月 18 日 (金) 15 時 12 分 50 秒 (日本時間)

22×10273-139

c262

composite cofactor 合成数の残り
3273060756532037416472254491287419193739160710294364743331890809612984795055216298112860966887663895234073813747701489511067979352863563383011533046048371497842577503026936261395057366590036979322953440197908775088286928966583679724186886662692963303944005973267<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)

22×10276-139

c274

composite cofactor 合成数の残り
2719070572240761339760227413175132863675689037201829192930416512174020516623408725744654554443208503275244098380917068347546656779137313063898158447657891484365344209615622296378692374242986033864788036089482140650105054999382029415399826968236311951551106167346434309726857<274>

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)

22×10277-139

c242

composite cofactor 合成数の残り
61741792347545971036670535201271258601926644616219211985306375100930683524027355905436903722340007973992177786766309940544535014091823324198926699673187548493469377568409939664186549181447759097935630135345329206666014214835828189786105571501<242>

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)

22×10278-139

c254

composite cofactor 合成数の残り
16056856163323670714183691119724776122626162283042928214140086441069040624267698756454365481551297844902508190118875924727140288605585560817649300493846675953161173216584534833807653213421208300436145878290614833871532741198017863331338913094599992851923<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)

22×10280-139

c235

composite cofactor 合成数の残り
1038703292853690535914263381052959003824808433342433646469492994213042610226935085376844737993342287399307645327346187646052338891024647492126109760617584589053982199716191534231686251041355320708742974251728377059527301340444717293251<235>

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)

22×10281-139

c252

composite cofactor 合成数の残り
911714403243328482845790958495189276339951125224214165187818149307540024250536738079090652205277368355457184323436935957867334536893208955535948746500209307440492865927378026640871037678023026780579106554142076611849259571302306252475045663788270542677<252>

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)

22×10282-139

c252

composite cofactor 合成数の残り
376013544876688320627422249122857645202406460800089283155866695864718131333578858812627759116315674474685441100348562450633483410746768566658718518770493026505545948799396598567370426806631919426054094057787420239249828868335299144255491775539362743513<252>

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)

22×10283-139

c261

composite cofactor 合成数の残り
294872800911968742991852035055564209043334364628335467339331797877940976233249451472567911559321670991780517960426868429148973231118167345994875476635264978072552084051569469603111895081553086609565695983820264027167477953445937178107404230301268108964829956773<261>

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)

22×10284-139

c284

composite cofactor 合成数の残り
81481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481<284>

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)

22×10285-139

c240

composite cofactor 合成数の残り
301640753233496445899198528477849167750552993393329819088445805011455142011712418178914122866703580759379604160104245620887812050535238399424868711399578198690721291299171557019874159742092470939781226210349877281125883770218262584628634677<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)

22×10286-139

c264

composite cofactor 合成数の残り
928966285443919563333701279369792400286137500966586045537950065794310981998730171402335149775417044719477119200707713400328764744639854543128347028464455584087408221888555912279431930595213149600942862693257323871837904027856142842403762250398302022971475065114017<264>

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)

22×10287-139

c279

composite cofactor 合成数の残り
568118553515034592174478512533430874950612001567090987416099409522908399245692572707177864606280198530546951780960236917873447377281330375322856060497595740487141656701344310708019944903971139108525393886670800405721038638502295769269757757004156173797814574408476530862060802553<279>

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)

22×10289-139

c252

composite cofactor 合成数の残り
876706264109843436883315207223386222578949452328760599005024759499218773018499730404415869915665115388851930685571966210642017727694655622809751501794317856434669487480856993967731932274252436424095217015481980629773824207393756029988797134819534903789<252>

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)

22×10291-139

c283

composite cofactor 合成数の残り
2259033186478894608328620248219303254179744141755489076542113866660384829328367483045084924157518363424834695238878157387675685230398074365445954310450641603566681693231738158317130245808741309384711352310302391318504084336981295184371239441042329683857930060486366236756807242429673<283>

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)

22×10294-139

c213

composite cofactor 合成数の残り
910978499338977889629539447099012954252608657102481313814246369498803012117584132808595976865041231420387976550872883323419301707969455863924169426712681347717835770720232228843464020050339353707074588274529009157<213>

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)

22×10295-139

c282

composite cofactor 合成数の残り
666878522256477477840236489748658267604501341488618636092913506064664891599708347682042158830845371974784035286836000747225978613517117549788938132522798621122605540971981278566932707065587514898711336745712834341003264319199314801248829279456557604683494078296049994838090817447803<282>

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)

22×10296-139

c233

composite cofactor 合成数の残り
57297211325256751942964846402471122685897167413857689506769901085296800148252814767360164520538414065539332925332117337796256790895738258475182323670203464817899868108842827746465856124846383311409684689429909806365850297071011896913<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)

22×10298-139

c242

composite cofactor 合成数の残り
64445440472643564885138071007625907758694790534934173896598729656281307585704337491122105244013242251555652558214435839608554963514100895194612566035787614631520350277990574245888109959010717848858995299412393876443478547896305751703276090381<242>

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)