Table of contents 目次

68×10104-419

c89

name 名前Serge Batalov
date 日付December 13, 2009 08:07:49 UTC 2009 年 12 月 13 日 (日) 17 時 7 分 49 秒 (日本時間)
composite number 合成数
29995741075027653585003958776986225169555673026120542765581718340570596425604843110360483<89>
prime factors 素因数
1219491298385716085076638074015566815389<40>
24596929157866137036858482091193628353907400534847<50>
factorization results 素因数分解の結果
SNFS difficulty: 105 digits.
Divisors found:
 r1=1219491298385716085076638074015566815389 (pp40)
 r2=24596929157866137036858482091193628353907400534847 (pp50)
Version: Msieve v. 1.44 SVN157
Total time: 0.27 hours.
Scaled time: 0.65 units (timescale=2.400).
Factorization parameters were as follows:
c4: 68
c0: -41
m: 100000000000000000000000000
skew: 1
type: snfs
lss: 1
n: 29995741075027653585003958776986225169555673026120542765581718340570596425604843110360483
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [281250, 361251)
Pruned matrix : 36923 x 37154
Total sieving time: 0.24 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,105.000,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 0.27 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 13, 2009 00:00:00 UTC 2009 年 12 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)

68×10105-419

c99

name 名前Serge Batalov
date 日付December 13, 2009 07:27:10 UTC 2009 年 12 月 13 日 (日) 16 時 27 分 10 秒 (日本時間)
composite number 合成数
213517677965359651798636338578008876752544073337846280654399404114864334274283760365706296492826759<99>
prime factors 素因数
894072190013208651293443978613<30>
238814807518177285306701902214891055326157967452167884477203413512843<69>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4100245333
Step 1 took 7252ms
Step 2 took 4064ms
********** Factor found in step 2: 894072190013208651293443978613
Found probable prime factor of 30 digits: 894072190013208651293443978613
Probable prime cofactor has 69 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 13, 2009 00:00:00 UTC 2009 年 12 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)

68×10108-419

c109

name 名前Serge Batalov
date 日付December 13, 2009 09:57:40 UTC 2009 年 12 月 13 日 (日) 18 時 57 分 40 秒 (日本時間)
composite number 合成数
2518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518517<109>
prime factors 素因数
1007951436257840014703722478246051500193<40>
2498650657088072640392035749835149369157792772913697850301258944896469<70>
factorization results 素因数分解の結果
SNFS difficulty: 109 digits.
Divisors found:
 r1=1007951436257840014703722478246051500193 (pp40)
 r2=2498650657088072640392035749835149369157792772913697850301258944896469 (pp70)
Version: Msieve v. 1.44 SVN157
Total time: 0.52 hours.
Scaled time: 1.26 units (timescale=2.400).
Factorization parameters were as follows:
n: 2518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518517
m: 2000000000000000000000
deg: 5
c5: 2125
c0: -41
skew: 0.45
type: snfs
lss: 1
rlim: 470000
alim: 470000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 470000/470000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [293750, 493751)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 50272 x 50498
Total sieving time: 0.50 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,109.000,5,0,0,0,0,0,0,0,0,470000,470000,25,25,44,44,2.2,2.2,50000
total time: 0.52 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 13, 2009 00:00:00 UTC 2009 年 12 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)

68×10111-419

c111

name 名前Serge Batalov
date 日付December 13, 2009 09:56:53 UTC 2009 年 12 月 13 日 (日) 18 時 56 分 53 秒 (日本時間)
composite number 合成数
839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839<111>
prime factors 素因数
490713461048873329138186470584317409<36>
1710786924501943345697249840772477005309394792793479896885711790729024795271<76>
factorization results 素因数分解の結果
SNFS difficulty: 112 digits.
Divisors found:
 r1=490713461048873329138186470584317409 (pp36)
 r2=1710786924501943345697249840772477005309394792793479896885711790729024795271 (pp76)
Version: Msieve v. 1.44 SVN157
Total time: 0.55 hours.
Scaled time: 1.32 units (timescale=2.400).
Factorization parameters were as follows:
n: 839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839
m: 10000000000000000000000
deg: 5
c5: 680
c0: -41
skew: 0.57
type: snfs
lss: 1
rlim: 530000
alim: 530000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 530000/530000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [331250, 531251)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 53227 x 53452
Total sieving time: 0.52 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,112.000,5,0,0,0,0,0,0,0,0,530000,530000,25,25,45,45,2.2,2.2,50000
total time: 0.55 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 13, 2009 00:00:00 UTC 2009 年 12 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)

68×10114-419

c104

name 名前Robert Backstrom
date 日付December 14, 2009 04:21:19 UTC 2009 年 12 月 14 日 (月) 13 時 21 分 19 秒 (日本時間)
composite number 合成数
42058395329302856748555982678684448285323587877262098896368420867466531192794508644386219233543914345849<104>
prime factors 素因数
333997449831259753820683440609596186256762920339<48>
125924300771012935160478043723824767531313398139327105091<57>
factorization results 素因数分解の結果
Number: n
N=42058395329302856748555982678684448285323587877262098896368420867466531192794508644386219233543914345849
  ( 104 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=333997449831259753820683440609596186256762920339 (pp48)
 r2=125924300771012935160478043723824767531313398139327105091 (pp57)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.12 hours.
Scaled time: 2.04 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_7_5_113_1
n: 42058395329302856748555982678684448285323587877262098896368420867466531192794508644386219233543914345849
m: 100000000000000000000000
deg: 5
c5: 34
c0: -205
skew: 1.43
type: snfs
lss: 1
rlim: 600000
alim: 600000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
qintsize: 50000
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [300000, 550001)
Primes: RFBsize:49098, AFBsize:49197, largePrimes:1306149 encountered
Relations: rels:1298818, finalFF:162913
Max relations in full relation-set: 48
Initial matrix: 98361 x 162913 with sparse part having weight 8032972.
Pruned matrix : 78797 x 79352 with weight 2865906.
Total sieving time: 1.07 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Total square root time: 0.01 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,600000,600000,25,25,45,45,2.2,2.2,50000
total time: 1.12 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 13, 2009 00:00:00 UTC 2009 年 12 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)

68×10118-419

c88

name 名前Jo Yeong Uk
date 日付December 13, 2009 08:09:42 UTC 2009 年 12 月 13 日 (日) 17 時 9 分 42 秒 (日本時間)
composite number 合成数
3803709899006866793179568153424366834859009484791078711335046454459323665574328638181833<88>
prime factors 素因数
34532780382054814199867027222353498860857<41>
110147803244464195761021537297140065029831121169<48>
factorization results 素因数分解の結果
12/13/09 16:32:06 v1.10 @ 조영욱-PC, starting SIQS on c88: 3803709899006866793179568153424366834859009484791078711335046454459323665574328638181833
12/13/09 16:32:06 v1.10 @ 조영욱-PC, random seeds: 1170905327, 2669193264
12/13/09 16:32:07 v1.10 @ 조영욱-PC, ==== sieve params ====
12/13/09 16:32:07 v1.10 @ 조영욱-PC, n = 88 digits, 291 bits
12/13/09 16:32:07 v1.10 @ 조영욱-PC, factor base: 61083 primes (max prime = 1616803)
12/13/09 16:32:07 v1.10 @ 조영욱-PC, single large prime cutoff: 177848330 (110 * pmax)
12/13/09 16:32:07 v1.10 @ 조영욱-PC, double large prime range from 43 to 50 bits
12/13/09 16:32:07 v1.10 @ 조영욱-PC, double large prime cutoff: 708091897184765
12/13/09 16:32:07 v1.10 @ 조영욱-PC, using 15 large prime slices of factor base
12/13/09 16:32:07 v1.10 @ 조영욱-PC, buckets hold 1024 elements
12/13/09 16:32:07 v1.10 @ 조영욱-PC, sieve interval: 9 blocks of size 65536
12/13/09 16:32:07 v1.10 @ 조영욱-PC, polynomial A has ~ 11 factors
12/13/09 16:32:07 v1.10 @ 조영욱-PC, using multiplier of 1
12/13/09 16:32:07 v1.10 @ 조영욱-PC, using small prime variation correction of 17 bits
12/13/09 16:32:07 v1.10 @ 조영욱-PC, using SSE2 for trial division and x128 sieve scanning
12/13/09 16:32:07 v1.10 @ 조영욱-PC, trial factoring cutoff at 100 bits
12/13/09 16:32:07 v1.10 @ 조영욱-PC, ==== sieving started ====
12/13/09 17:08:26 v1.10 @ 조영욱-PC, sieve time = 1059.0880, relation time = 331.8220, poly_time = 788.1500
12/13/09 17:08:26 v1.10 @ 조영욱-PC, 61186 relations found: 20399 full + 40787 from 541207 partial, using 423346 polys (413 A polys)
12/13/09 17:08:26 v1.10 @ 조영욱-PC, on average, sieving found 1.33 rels/poly and 257.62 rels/sec
12/13/09 17:08:26 v1.10 @ 조영욱-PC, trial division touched 10182730 sieve locations out of 499399262208
12/13/09 17:08:26 v1.10 @ 조영욱-PC, ==== post processing stage (msieve-1.38) ====
12/13/09 17:08:26 v1.10 @ 조영욱-PC, begin with 561606 relations
12/13/09 17:08:27 v1.10 @ 조영욱-PC, reduce to 123607 relations in 9 passes
12/13/09 17:08:27 v1.10 @ 조영욱-PC, failed to read relation 54067
12/13/09 17:08:28 v1.10 @ 조영욱-PC, recovered 123606 relations
12/13/09 17:08:28 v1.10 @ 조영욱-PC, recovered 107337 polynomials
12/13/09 17:08:28 v1.10 @ 조영욱-PC, attempting to build 61185 cycles
12/13/09 17:08:28 v1.10 @ 조영욱-PC, found 61185 cycles in 4 passes
12/13/09 17:08:28 v1.10 @ 조영욱-PC, distribution of cycle lengths:
12/13/09 17:08:28 v1.10 @ 조영욱-PC,    length 1 : 20399
12/13/09 17:08:28 v1.10 @ 조영욱-PC,    length 2 : 17522
12/13/09 17:08:28 v1.10 @ 조영욱-PC,    length 3 : 11422
12/13/09 17:08:28 v1.10 @ 조영욱-PC,    length 4 : 6306
12/13/09 17:08:28 v1.10 @ 조영욱-PC,    length 5 : 3105
12/13/09 17:08:28 v1.10 @ 조영욱-PC,    length 6 : 1417
12/13/09 17:08:28 v1.10 @ 조영욱-PC,    length 7 : 612
12/13/09 17:08:28 v1.10 @ 조영욱-PC,    length 9+: 402
12/13/09 17:08:28 v1.10 @ 조영욱-PC, largest cycle: 14 relations
12/13/09 17:08:28 v1.10 @ 조영욱-PC, matrix is 61083 x 61185 (12.7 MB) with weight 2845786 (46.51/col)
12/13/09 17:08:28 v1.10 @ 조영욱-PC, sparse part has weight 2845786 (46.51/col)
12/13/09 17:08:28 v1.10 @ 조영욱-PC, filtering completed in 4 passes
12/13/09 17:08:28 v1.10 @ 조영욱-PC, matrix is 54561 x 54625 (11.6 MB) with weight 2598928 (47.58/col)
12/13/09 17:08:28 v1.10 @ 조영욱-PC, sparse part has weight 2598928 (47.58/col)
12/13/09 17:08:28 v1.10 @ 조영욱-PC, saving the first 48 matrix rows for later
12/13/09 17:08:28 v1.10 @ 조영욱-PC, matrix is 54513 x 54625 (8.3 MB) with weight 2093151 (38.32/col)
12/13/09 17:08:28 v1.10 @ 조영욱-PC, sparse part has weight 1624518 (29.74/col)
12/13/09 17:08:28 v1.10 @ 조영욱-PC, matrix includes 64 packed rows
12/13/09 17:08:28 v1.10 @ 조영욱-PC, using block size 21850 for processor cache size 4096 kB
12/13/09 17:08:29 v1.10 @ 조영욱-PC, commencing Lanczos iteration
12/13/09 17:08:29 v1.10 @ 조영욱-PC, memory use: 7.5 MB
12/13/09 17:08:40 v1.10 @ 조영욱-PC, lanczos halted after 863 iterations (dim = 54511)
12/13/09 17:08:40 v1.10 @ 조영욱-PC, recovered 15 nontrivial dependencies
12/13/09 17:08:41 v1.10 @ 조영욱-PC, prp48 = 110147803244464195761021537297140065029831121169
12/13/09 17:08:42 v1.10 @ 조영욱-PC, prp41 = 34532780382054814199867027222353498860857
12/13/09 17:08:42 v1.10 @ 조영욱-PC, Lanczos elapsed time = 14.0090 seconds.
12/13/09 17:08:42 v1.10 @ 조영욱-PC, Sqrt elapsed time = 1.5600 seconds.
12/13/09 17:08:42 v1.10 @ 조영욱-PC, SIQS elapsed time = 2195.5280 seconds.
12/13/09 17:08:42 v1.10 @ 조영욱-PC, 
12/13/09 17:08:42 v1.10 @ 조영욱-PC, 
software ソフトウェア
YAFU v1.10
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 13, 2009 00:00:00 UTC 2009 年 12 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)

68×10119-419

c91

name 名前Jo Yeong Uk
date 日付December 13, 2009 09:20:00 UTC 2009 年 12 月 13 日 (日) 18 時 20 分 0 秒 (日本時間)
composite number 合成数
2334026502866772331445982526031065272433160759815583268239268004709042534418333865096547441<91>
prime factors 素因数
693993837679896534923644341171069837383<39>
3363180443604080019397353045243304202704788434190727<52>
factorization results 素因数分解の結果
12/13/09 17:12:04 v1.10 @ 조영욱-PC, starting SIQS on c91: 2334026502866772331445982526031065272433160759815583268239268004709042534418333865096547441
12/13/09 17:12:04 v1.10 @ 조영욱-PC, random seeds: 2799027576, 3905644624
12/13/09 17:12:05 v1.10 @ 조영욱-PC, ==== sieve params ====
12/13/09 17:12:05 v1.10 @ 조영욱-PC, n = 91 digits, 303 bits
12/13/09 17:12:05 v1.10 @ 조영욱-PC, factor base: 68495 primes (max prime = 1836641)
12/13/09 17:12:05 v1.10 @ 조영욱-PC, single large prime cutoff: 220396920 (120 * pmax)
12/13/09 17:12:05 v1.10 @ 조영욱-PC, double large prime range from 43 to 50 bits
12/13/09 17:12:05 v1.10 @ 조영욱-PC, double large prime cutoff: 1041765420895216
12/13/09 17:12:05 v1.10 @ 조영욱-PC, using 16 large prime slices of factor base
12/13/09 17:12:05 v1.10 @ 조영욱-PC, buckets hold 1024 elements
12/13/09 17:12:05 v1.10 @ 조영욱-PC, sieve interval: 11 blocks of size 65536
12/13/09 17:12:05 v1.10 @ 조영욱-PC, polynomial A has ~ 12 factors
12/13/09 17:12:05 v1.10 @ 조영욱-PC, using multiplier of 5
12/13/09 17:12:05 v1.10 @ 조영욱-PC, using small prime variation correction of 21 bits
12/13/09 17:12:05 v1.10 @ 조영욱-PC, using SSE2 for trial division and x128 sieve scanning
12/13/09 17:12:05 v1.10 @ 조영욱-PC, trial factoring cutoff at 96 bits
12/13/09 17:12:05 v1.10 @ 조영욱-PC, ==== sieving started ====
12/13/09 18:14:06 v1.10 @ 조영욱-PC, sieve time = 1746.3940, relation time = 734.7870, poly_time = 1239.4730
12/13/09 18:14:06 v1.10 @ 조영욱-PC, 68571 relations found: 18616 full + 49955 from 860287 partial, using 569705 polys (278 A polys)
12/13/09 18:14:06 v1.10 @ 조영욱-PC, on average, sieving found 1.54 rels/poly and 236.14 rels/sec
12/13/09 18:14:06 v1.10 @ 조영욱-PC, trial division touched 32698597 sieve locations out of 821396111360
12/13/09 18:14:06 v1.10 @ 조영욱-PC, ==== post processing stage (msieve-1.38) ====
12/13/09 18:14:07 v1.10 @ 조영욱-PC, begin with 878903 relations
12/13/09 18:14:07 v1.10 @ 조영욱-PC, reduce to 165407 relations in 10 passes
12/13/09 18:14:08 v1.10 @ 조영욱-PC, failed to read relation 141413
12/13/09 18:14:09 v1.10 @ 조영욱-PC, recovered 165406 relations
12/13/09 18:14:09 v1.10 @ 조영욱-PC, recovered 143655 polynomials
12/13/09 18:14:09 v1.10 @ 조영욱-PC, attempting to build 68570 cycles
12/13/09 18:14:09 v1.10 @ 조영욱-PC, found 68570 cycles in 4 passes
12/13/09 18:14:09 v1.10 @ 조영욱-PC, distribution of cycle lengths:
12/13/09 18:14:09 v1.10 @ 조영욱-PC,    length 1 : 18616
12/13/09 18:14:09 v1.10 @ 조영욱-PC,    length 2 : 13854
12/13/09 18:14:09 v1.10 @ 조영욱-PC,    length 3 : 12332
12/13/09 18:14:09 v1.10 @ 조영욱-PC,    length 4 : 9209
12/13/09 18:14:09 v1.10 @ 조영욱-PC,    length 5 : 6111
12/13/09 18:14:09 v1.10 @ 조영욱-PC,    length 6 : 3763
12/13/09 18:14:09 v1.10 @ 조영욱-PC,    length 7 : 2224
12/13/09 18:14:09 v1.10 @ 조영욱-PC,    length 9+: 2461
12/13/09 18:14:09 v1.10 @ 조영욱-PC, largest cycle: 19 relations
12/13/09 18:14:09 v1.10 @ 조영욱-PC, matrix is 68495 x 68570 (17.5 MB) with weight 4049507 (59.06/col)
12/13/09 18:14:09 v1.10 @ 조영욱-PC, sparse part has weight 4049507 (59.06/col)
12/13/09 18:14:09 v1.10 @ 조영욱-PC, filtering completed in 3 passes
12/13/09 18:14:09 v1.10 @ 조영욱-PC, matrix is 64145 x 64208 (16.6 MB) with weight 3838689 (59.79/col)
12/13/09 18:14:09 v1.10 @ 조영욱-PC, sparse part has weight 3838689 (59.79/col)
12/13/09 18:14:10 v1.10 @ 조영욱-PC, saving the first 48 matrix rows for later
12/13/09 18:14:10 v1.10 @ 조영욱-PC, matrix is 64097 x 64208 (11.3 MB) with weight 3041038 (47.36/col)
12/13/09 18:14:10 v1.10 @ 조영욱-PC, sparse part has weight 2315710 (36.07/col)
12/13/09 18:14:10 v1.10 @ 조영욱-PC, matrix includes 64 packed rows
12/13/09 18:14:10 v1.10 @ 조영욱-PC, using block size 25683 for processor cache size 4096 kB
12/13/09 18:14:10 v1.10 @ 조영욱-PC, commencing Lanczos iteration
12/13/09 18:14:10 v1.10 @ 조영욱-PC, memory use: 9.9 MB
12/13/09 18:14:28 v1.10 @ 조영욱-PC, lanczos halted after 1016 iterations (dim = 64097)
12/13/09 18:14:28 v1.10 @ 조영욱-PC, recovered 18 nontrivial dependencies
12/13/09 18:14:30 v1.10 @ 조영욱-PC, prp52 = 3363180443604080019397353045243304202704788434190727
12/13/09 18:14:32 v1.10 @ 조영욱-PC, prp39 = 693993837679896534923644341171069837383
12/13/09 18:14:32 v1.10 @ 조영욱-PC, Lanczos elapsed time = 22.0890 seconds.
12/13/09 18:14:32 v1.10 @ 조영욱-PC, Sqrt elapsed time = 3.6660 seconds.
12/13/09 18:14:32 v1.10 @ 조영욱-PC, SIQS elapsed time = 3747.7380 seconds.
12/13/09 18:14:32 v1.10 @ 조영욱-PC, 
12/13/09 18:14:32 v1.10 @ 조영욱-PC, 
software ソフトウェア
YAFU v1.10
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 13, 2009 00:00:00 UTC 2009 年 12 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)

68×10120-419

c110

name 名前Jo Yeong Uk
date 日付December 13, 2009 08:45:18 UTC 2009 年 12 月 13 日 (日) 17 時 45 分 18 秒 (日本時間)
composite number 合成数
12720052729742606071376255874676753059000774246060165339703830758816106561742812070410938974039927844070430817<110>
prime factors 素因数
7522650767954371464658123338883<31>
1690900338472253717843974265424623024998093155324732145561110307961542934925899<79>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 12720052729742606071376255874676753059000774246060165339703830758816106561742812070410938974039927844070430817 (110 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=7746665774
Step 1 took 3463ms
Step 2 took 3776ms
********** Factor found in step 2: 7522650767954371464658123338883
Found probable prime factor of 31 digits: 7522650767954371464658123338883
Probable prime cofactor 1690900338472253717843974265424623024998093155324732145561110307961542934925899 has 79 digits
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 13, 2009 00:00:00 UTC 2009 年 12 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)

68×10124-419

c118

name 名前Sinkiti Sibata
date 日付December 13, 2009 12:17:06 UTC 2009 年 12 月 13 日 (日) 21 時 17 分 6 秒 (日本時間)
composite number 合成数
1358233337748190901605136788947794869526437745266105904453441981294278644002074637506547408746159417968092394414031303<118>
prime factors 素因数
134509083086339760880041377384167466787761390470732873<54>
10097707207448267830934383611435301631763864956190969829855808911<65>
factorization results 素因数分解の結果
Number: 75551_124
N=1358233337748190901605136788947794869526437745266105904453441981294278644002074637506547408746159417968092394414031303
  ( 118 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=134509083086339760880041377384167466787761390470732873 (pp54)
 r2=10097707207448267830934383611435301631763864956190969829855808911 (pp65)
Version: Msieve-1.40
Total time: 2.65 hours.
Scaled time: 5.30 units (timescale=2.000).
Factorization parameters were as follows:
name: 75551_124
n: 1358233337748190901605136788947794869526437745266105904453441981294278644002074637506547408746159417968092394414031303
m: 2000000000000000000000000
deg: 5
c5: 21250
c0: -41
skew: 0.29
type: snfs
lss: 1
rlim: 880000
alim: 880000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 880000/880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [440000, 790001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 144439 x 144679
Total sieving time: 2.45 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,125.000,5,0,0,0,0,0,0,0,0,880000,880000,26,26,46,46,2.3,2.3,50000
total time: 2.65 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 13, 2009 00:00:00 UTC 2009 年 12 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)

68×10125-419

c99

name 名前Sinkiti Sibata
date 日付December 13, 2009 23:11:13 UTC 2009 年 12 月 14 日 (月) 8 時 11 分 13 秒 (日本時間)
composite number 合成数
629965752462500244411755920304594721110450811886953027877206783027562086509752461510463877026561351<99>
prime factors 素因数
104832014910643936866343141389359887599647<42>
6009287840164729715877654115282117404072734705183137859033<58>
factorization results 素因数分解の結果
Sun Dec 13 21:19:36 2009  Msieve v. 1.42
Sun Dec 13 21:19:36 2009  random seeds: 4eb821a4 a5b6dbf8
Sun Dec 13 21:19:36 2009  factoring 629965752462500244411755920304594721110450811886953027877206783027562086509752461510463877026561351 (99 digits)
Sun Dec 13 21:19:37 2009  searching for 15-digit factors
Sun Dec 13 21:19:38 2009  commencing quadratic sieve (99-digit input)
Sun Dec 13 21:19:38 2009  using multiplier of 1
Sun Dec 13 21:19:38 2009  using 32kb Intel Core sieve core
Sun Dec 13 21:19:38 2009  sieve interval: 36 blocks of size 32768
Sun Dec 13 21:19:38 2009  processing polynomials in batches of 6
Sun Dec 13 21:19:38 2009  using a sieve bound of 2632339 (96471 primes)
Sun Dec 13 21:19:38 2009  using large prime bound of 394850850 (28 bits)
Sun Dec 13 21:19:38 2009  using double large prime bound of 2975633911281600 (43-52 bits)
Sun Dec 13 21:19:38 2009  using trial factoring cutoff of 52 bits
Sun Dec 13 21:19:38 2009  polynomial 'A' values have 13 factors
Mon Dec 14 07:13:00 2009  96785 relations (22492 full + 74293 combined from 1461184 partial), need 96567
Mon Dec 14 07:13:03 2009  begin with 1483676 relations
Mon Dec 14 07:13:04 2009  reduce to 257448 relations in 11 passes
Mon Dec 14 07:13:04 2009  attempting to read 257448 relations
Mon Dec 14 07:13:09 2009  recovered 257448 relations
Mon Dec 14 07:13:09 2009  recovered 248142 polynomials
Mon Dec 14 07:13:09 2009  attempting to build 96785 cycles
Mon Dec 14 07:13:09 2009  found 96785 cycles in 6 passes
Mon Dec 14 07:13:09 2009  distribution of cycle lengths:
Mon Dec 14 07:13:09 2009     length 1 : 22492
Mon Dec 14 07:13:09 2009     length 2 : 16333
Mon Dec 14 07:13:09 2009     length 3 : 16143
Mon Dec 14 07:13:09 2009     length 4 : 13204
Mon Dec 14 07:13:09 2009     length 5 : 10086
Mon Dec 14 07:13:09 2009     length 6 : 7088
Mon Dec 14 07:13:09 2009     length 7 : 4658
Mon Dec 14 07:13:09 2009     length 9+: 6781
Mon Dec 14 07:13:09 2009  largest cycle: 25 relations
Mon Dec 14 07:13:10 2009  matrix is 96471 x 96785 (26.6 MB) with weight 6591370 (68.10/col)
Mon Dec 14 07:13:10 2009  sparse part has weight 6591370 (68.10/col)
Mon Dec 14 07:13:11 2009  filtering completed in 3 passes
Mon Dec 14 07:13:11 2009  matrix is 92862 x 92926 (25.6 MB) with weight 6344118 (68.27/col)
Mon Dec 14 07:13:11 2009  sparse part has weight 6344118 (68.27/col)
Mon Dec 14 07:13:11 2009  saving the first 48 matrix rows for later
Mon Dec 14 07:13:11 2009  matrix is 92814 x 92926 (15.5 MB) with weight 4996132 (53.76/col)
Mon Dec 14 07:13:11 2009  sparse part has weight 3495382 (37.61/col)
Mon Dec 14 07:13:12 2009  matrix includes 64 packed rows
Mon Dec 14 07:13:12 2009  using block size 37170 for processor cache size 1024 kB
Mon Dec 14 07:13:12 2009  commencing Lanczos iteration
Mon Dec 14 07:13:12 2009  memory use: 16.0 MB
Mon Dec 14 07:14:15 2009  lanczos halted after 1469 iterations (dim = 92810)
Mon Dec 14 07:14:16 2009  recovered 14 nontrivial dependencies
Mon Dec 14 07:14:17 2009  prp42 factor: 104832014910643936866343141389359887599647
Mon Dec 14 07:14:17 2009  prp58 factor: 6009287840164729715877654115282117404072734705183137859033
Mon Dec 14 07:14:17 2009  elapsed time 09:54:41

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 13, 2009 00:00:00 UTC 2009 年 12 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)

68×10126-419

c109

name 名前Sinkiti Sibata
date 日付December 14, 2009 03:33:57 UTC 2009 年 12 月 14 日 (月) 12 時 33 分 57 秒 (日本時間)
composite number 合成数
4954940429873285846004037959569307310974025261223476931270036000767248081276571677583695407987754373710731881<109>
prime factors 素因数
2168385789520885323592002973154798753361401333233<49>
2285082504146138317270373988148621575643144140324925007627257<61>
factorization results 素因数分解の結果
Number: 75551_126
N=4954940429873285846004037959569307310974025261223476931270036000767248081276571677583695407987754373710731881
  ( 109 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=2168385789520885323592002973154798753361401333233 (pp49)
 r2=2285082504146138317270373988148621575643144140324925007627257 (pp61)
Version: Msieve-1.40
Total time: 2.30 hours.
Scaled time: 4.79 units (timescale=2.085).
Factorization parameters were as follows:
name: 75551_126
n: 4954940429873285846004037959569307310974025261223476931270036000767248081276571677583695407987754373710731881
m: 10000000000000000000000000
deg: 5
c5: 680
c0: -41
skew: 0.57
type: snfs
lss: 1
rlim: 950000
alim: 950000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 950000/950000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [475000, 775001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 145579 x 145827
Total sieving time: 2.13 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,127.000,5,0,0,0,0,0,0,0,0,950000,950000,26,26,46,46,2.3,2.3,50000
total time: 2.30 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 13, 2009 00:00:00 UTC 2009 年 12 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)

68×10131-419

c98

name 名前Serge Batalov
date 日付December 13, 2009 12:25:10 UTC 2009 年 12 月 13 日 (日) 21 時 25 分 10 秒 (日本時間)
composite number 合成数
18270957934982272959259478432488575544300788306364705919210711590286972123621551472888331313643729<98>
prime factors 素因数
34364227725649240817067390053<29>
53175703139543086944405198143<29>
9998652804651218056314025782798260070851<40>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1271878404
Step 1 took 7553ms
Step 2 took 4068ms
********** Factor found in step 2: 53175703139543086944405198143
Found probable prime factor of 29 digits: 53175703139543086944405198143
Composite cofactor has 69 digits

Input number is 18270957934982272959259478432488575544300788306364705919210711590286972123621551472888331313643729 (98 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1343956971
Step 1 took 7161ms
Step 2 took 3960ms
********** Factor found in step 2: 34364227725649240817067390053
Found probable prime factor of 29 digits: 34364227725649240817067390053

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 13, 2009 00:00:00 UTC 2009 年 12 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)

68×10132-419

c87

name 名前Jo Yeong Uk
date 日付December 13, 2009 07:29:47 UTC 2009 年 12 月 13 日 (日) 16 時 29 分 47 秒 (日本時間)
composite number 合成数
818048432642492312825176391448402735182696250821329401587176489745428307949924449572247<87>
prime factors 素因数
2737841057306658717210311098427<31>
298793251879729100538739305699668971422640914787280856661<57>
factorization results 素因数分解の結果
12/13/09 16:02:35 v1.10 @ 조영욱-PC, starting SIQS on c87: 818048432642492312825176391448402735182696250821329401587176489745428307949924449572247
12/13/09 16:02:35 v1.10 @ 조영욱-PC, random seeds: 3158097181, 843817604
12/13/09 16:02:36 v1.10 @ 조영욱-PC, ==== sieve params ====
12/13/09 16:02:36 v1.10 @ 조영욱-PC, n = 87 digits, 290 bits
12/13/09 16:02:36 v1.10 @ 조영욱-PC, factor base: 59894 primes (max prime = 1570097)
12/13/09 16:02:36 v1.10 @ 조영욱-PC, single large prime cutoff: 172710670 (110 * pmax)
12/13/09 16:02:36 v1.10 @ 조영욱-PC, double large prime range from 43 to 50 bits
12/13/09 16:02:36 v1.10 @ 조영욱-PC, double large prime cutoff: 671698694327176
12/13/09 16:02:36 v1.10 @ 조영욱-PC, using 15 large prime slices of factor base
12/13/09 16:02:36 v1.10 @ 조영욱-PC, buckets hold 1024 elements
12/13/09 16:02:36 v1.10 @ 조영욱-PC, sieve interval: 9 blocks of size 65536
12/13/09 16:02:36 v1.10 @ 조영욱-PC, polynomial A has ~ 11 factors
12/13/09 16:02:36 v1.10 @ 조영욱-PC, using multiplier of 2
12/13/09 16:02:36 v1.10 @ 조영욱-PC, using small prime variation correction of 20 bits
12/13/09 16:02:36 v1.10 @ 조영욱-PC, using SSE2 for trial division and x128 sieve scanning
12/13/09 16:02:36 v1.10 @ 조영욱-PC, trial factoring cutoff at 96 bits
12/13/09 16:02:36 v1.10 @ 조영욱-PC, ==== sieving started ====
12/13/09 16:28:36 v1.10 @ 조영욱-PC, sieve time = 715.4150, relation time = 331.7410, poly_time = 512.5390
12/13/09 16:28:36 v1.10 @ 조영욱-PC, 59960 relations found: 19502 full + 40458 from 551248 partial, using 275738 polys (269 A polys)
12/13/09 16:28:36 v1.10 @ 조영욱-PC, on average, sieving found 2.07 rels/poly and 365.77 rels/sec
12/13/09 16:28:36 v1.10 @ 조영욱-PC, trial division touched 13368403 sieve locations out of 325273780224
12/13/09 16:28:36 v1.10 @ 조영욱-PC, ==== post processing stage (msieve-1.38) ====
12/13/09 16:28:36 v1.10 @ 조영욱-PC, begin with 570750 relations
12/13/09 16:28:36 v1.10 @ 조영욱-PC, reduce to 124129 relations in 9 passes
12/13/09 16:28:37 v1.10 @ 조영욱-PC, recovered 124129 relations
12/13/09 16:28:37 v1.10 @ 조영욱-PC, recovered 99998 polynomials
12/13/09 16:28:37 v1.10 @ 조영욱-PC, attempting to build 59960 cycles
12/13/09 16:28:37 v1.10 @ 조영욱-PC, found 59960 cycles in 6 passes
12/13/09 16:28:37 v1.10 @ 조영욱-PC, distribution of cycle lengths:
12/13/09 16:28:37 v1.10 @ 조영욱-PC,    length 1 : 19502
12/13/09 16:28:37 v1.10 @ 조영욱-PC,    length 2 : 16271
12/13/09 16:28:37 v1.10 @ 조영욱-PC,    length 3 : 11173
12/13/09 16:28:37 v1.10 @ 조영욱-PC,    length 4 : 6439
12/13/09 16:28:37 v1.10 @ 조영욱-PC,    length 5 : 3497
12/13/09 16:28:37 v1.10 @ 조영욱-PC,    length 6 : 1688
12/13/09 16:28:37 v1.10 @ 조영욱-PC,    length 7 : 758
12/13/09 16:28:37 v1.10 @ 조영욱-PC,    length 9+: 632
12/13/09 16:28:37 v1.10 @ 조영욱-PC, largest cycle: 16 relations
12/13/09 16:28:37 v1.10 @ 조영욱-PC, matrix is 59894 x 59960 (13.1 MB) with weight 2945380 (49.12/col)
12/13/09 16:28:37 v1.10 @ 조영욱-PC, sparse part has weight 2945380 (49.12/col)
12/13/09 16:28:38 v1.10 @ 조영욱-PC, filtering completed in 4 passes
12/13/09 16:28:38 v1.10 @ 조영욱-PC, matrix is 53222 x 53286 (11.8 MB) with weight 2672822 (50.16/col)
12/13/09 16:28:38 v1.10 @ 조영욱-PC, sparse part has weight 2672822 (50.16/col)
12/13/09 16:28:38 v1.10 @ 조영욱-PC, saving the first 48 matrix rows for later
12/13/09 16:28:38 v1.10 @ 조영욱-PC, matrix is 53174 x 53286 (8.4 MB) with weight 2131376 (40.00/col)
12/13/09 16:28:38 v1.10 @ 조영욱-PC, sparse part has weight 1674370 (31.42/col)
12/13/09 16:28:38 v1.10 @ 조영욱-PC, matrix includes 64 packed rows
12/13/09 16:28:38 v1.10 @ 조영욱-PC, using block size 21314 for processor cache size 4096 kB
12/13/09 16:28:38 v1.10 @ 조영욱-PC, commencing Lanczos iteration
12/13/09 16:28:38 v1.10 @ 조영욱-PC, memory use: 7.5 MB
12/13/09 16:28:49 v1.10 @ 조영욱-PC, lanczos halted after 842 iterations (dim = 53171)
12/13/09 16:28:49 v1.10 @ 조영욱-PC, recovered 16 nontrivial dependencies
12/13/09 16:28:51 v1.10 @ 조영욱-PC, prp57 = 298793251879729100538739305699668971422640914787280856661
12/13/09 16:28:51 v1.10 @ 조영욱-PC, prp31 = 2737841057306658717210311098427
12/13/09 16:28:51 v1.10 @ 조영욱-PC, Lanczos elapsed time = 13.7280 seconds.
12/13/09 16:28:51 v1.10 @ 조영욱-PC, Sqrt elapsed time = 1.8880 seconds.
12/13/09 16:28:51 v1.10 @ 조영욱-PC, SIQS elapsed time = 1576.0030 seconds.
12/13/09 16:28:51 v1.10 @ 조영욱-PC, 
12/13/09 16:28:51 v1.10 @ 조영욱-PC, 
software ソフトウェア
YAFU v1.10
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 13, 2009 00:00:00 UTC 2009 年 12 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)

68×10133-419

c99

name 名前Sinkiti Sibata
date 日付December 14, 2009 08:42:16 UTC 2009 年 12 月 14 日 (月) 17 時 42 分 16 秒 (日本時間)
composite number 合成数
654590259593417765323944837115022385143444623850744621666113724888551685839988859703266523459509353<99>
prime factors 素因数
65828579710371249588047984796227037042501776203<47>
9943861199397675884477351880290014463455082068241051<52>
factorization results 素因数分解の結果
Number: 75551_133
N=654590259593417765323944837115022385143444623850744621666113724888551685839988859703266523459509353
  ( 99 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=65828579710371249588047984796227037042501776203 (pp47)
 r2=9943861199397675884477351880290014463455082068241051 (pp52)
Version: Msieve-1.40
Total time: 4.55 hours.
Scaled time: 9.50 units (timescale=2.085).
Factorization parameters were as follows:
name: 75551_133
n: 654590259593417765323944837115022385143444623850744621666113724888551685839988859703266523459509353
m: 200000000000000000000000000
deg: 5
c5: 2125
c0: -41
skew: 0.45
type: snfs
lss: 1
rlim: 1240000
alim: 1240000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1240000/1240000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [620000, 1220001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 204050 x 204298
Total sieving time: 4.29 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,134.000,5,0,0,0,0,0,0,0,0,1240000,1240000,26,26,47,47,2.3,2.3,75000
total time: 4.55 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 13, 2009 00:00:00 UTC 2009 年 12 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)

68×10135-419

c127

name 名前Dmitry Domanov
date 日付December 15, 2009 15:42:32 UTC 2009 年 12 月 16 日 (水) 0 時 42 分 32 秒 (日本時間)
composite number 合成数
6846419765984537618101995720679356004907449654096375885744847108034751324458555189438929215856857381704593424344798894479523239<127>
prime factors 素因数
1708072995693845187847890294158793372992730136343<49>
4008271182346875021369471912260587784241104960646929039911381637642429568831473<79>
factorization results 素因数分解の結果
N=6846419765984537618101995720679356004907449654096375885744847108034751324458555189438929215856857381704593424344798894479523239
  ( 127 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=1708072995693845187847890294158793372992730136343 (pp49)
 r2=4008271182346875021369471912260587784241104960646929039911381637642429568831473 (pp79)
Version: Msieve-1.40
Total time: 4.22 hours.
Scaled time: 8.04 units (timescale=1.905).
Factorization parameters were as follows:
n: 6846419765984537618101995720679356004907449654096375885744847108034751324458555189438929215856857381704593424344798894479523239
m: 1000000000000000000000000000
deg: 5
c5: 68
c0: -41
skew: 0.90
type: snfs
lss: 1
rlim: 1340000
alim: 1340000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1340000/1340000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [670000, 1495001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 168089 x 168314
Total sieving time: 4.10 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1340000,1340000,26,26,48,48,2.3,2.3,75000
total time: 4.22 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
3025e40--
351e6118 / 904Makoto KamadaDecember 13, 2009 00:00:00 UTC 2009 年 12 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)

68×10136-419

c101

name 名前Sinkiti Sibata
date 日付December 14, 2009 11:58:22 UTC 2009 年 12 月 14 日 (月) 20 時 58 分 22 秒 (日本時間)
composite number 合成数
25287512007730180440331763459094413686105338359406603987718124220534323648253614342533793796371708411<101>
prime factors 素因数
181326086978689447388189009200639340728847<42>
139458764202539283672117846442259581514338059678176104912213<60>
factorization results 素因数分解の結果
Number: 75551_136
N=25287512007730180440331763459094413686105338359406603987718124220534323648253614342533793796371708411
  ( 101 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=181326086978689447388189009200639340728847 (pp42)
 r2=139458764202539283672117846442259581514338059678176104912213 (pp60)
Version: Msieve v. 1.42
Total time: 0.16 hours.
Scaled time: 0.13 units (timescale=0.796).
Factorization parameters were as follows:
name: 75551_136
n: 25287512007730180440331763459094413686105338359406603987718124220534323648253614342533793796371708411
m: 1000000000000000000000000000
deg: 5
c5: 680
c0: -41
skew: 0.57
type: snfs
lss: 1
rlim: 1390000
alim: 1390000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1390000/1390000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [695000, 1370001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 196507 x 196734
Total sieving time: 0.00 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,137.000,5,0,0,0,0,0,0,0,0,1390000,1390000,26,26,48,48,2.3,2.3,75000
total time: 0.16 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.33 BogoMIPS (lpj=1860666)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860571)
Total of 2 processors activated (7442.47 BogoMIPS).

Total time: 4 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 13, 2009 00:00:00 UTC 2009 年 12 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)

68×10138-419

c121

name 名前Dmitry Domanov
date 日付December 15, 2009 18:22:30 UTC 2009 年 12 月 16 日 (水) 3 時 22 分 30 秒 (日本時間)
composite number 合成数
1819659505319461587167496116262275636870772186566922955290666967512874577913658754479211365347032761992684206423096943337<121>
prime factors 素因数
11410900863836166592220488321239541570811<41>
159466770155403882014625840449690972139449148893901469976263858019351462850409067<81>
factorization results 素因数分解の結果
N=1819659505319461587167496116262275636870772186566922955290666967512874577913658754479211365347032761992684206423096943337
  ( 121 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=11410900863836166592220488321239541570811 (pp41)
 r2=159466770155403882014625840449690972139449148893901469976263858019351462850409067 (pp81)
Version: Msieve-1.40
Total time: 5.40 hours.
Scaled time: 10.19 units (timescale=1.888).
Factorization parameters were as follows:
n: 1819659505319461587167496116262275636870772186566922955290666967512874577913658754479211365347032761992684206423096943337
m: 2000000000000000000000000000
deg: 5
c5: 2125
c0: -41
skew: 0.45
type: snfs
lss: 1
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [750000, 1800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 214144 x 214369
Total sieving time: 5.26 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,139.000,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,48,48,2.3,2.3,75000
total time: 5.40 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 13, 2009 00:00:00 UTC 2009 年 12 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)

68×10139-419

c131

name 名前Dmitry Domanov
date 日付December 15, 2009 15:41:39 UTC 2009 年 12 月 16 日 (水) 0 時 41 分 39 秒 (日本時間)
composite number 合成数
14156197750554683790147026237153098492357917675483143856926387225621787416644308258645266789658964485380813320181708505491379477073<131>
prime factors 素因数
26314862340375890781828977363194955018961042928123<50>
537954467230265270119267925540183493428275358501670203932591652282443058644303651<81>
factorization results 素因数分解の結果
N=14156197750554683790147026237153098492357917675483143856926387225621787416644308258645266789658964485380813320181708505491379477073
  ( 131 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=26314862340375890781828977363194955018961042928123 (pp50)
 r2=537954467230265270119267925540183493428275358501670203932591652282443058644303651 (pp81)
Version: Msieve-1.40
Total time: 6.06 hours.
Scaled time: 11.27 units (timescale=1.860).
Factorization parameters were as follows:
n: 14156197750554683790147026237153098492357917675483143856926387225621787416644308258645266789658964485380813320181708505491379477073
m: 2000000000000000000000000000
deg: 5
c5: 21250
c0: -41
skew: 0.29
type: snfs
lss: 1
rlim: 1560000
alim: 1560000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1560000/1560000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [780000, 1980001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 255672 x 255897
Total sieving time: 5.92 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,140.000,5,0,0,0,0,0,0,0,0,1560000,1560000,26,26,48,48,2.3,2.3,100000
total time: 6.06 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
3025e40--
351e6118 / 904Makoto KamadaDecember 13, 2009 00:00:00 UTC 2009 年 12 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)

68×10144-419

c107

name 名前Jo Yeong Uk
date 日付December 13, 2009 16:02:29 UTC 2009 年 12 月 14 日 (月) 1 時 2 分 29 秒 (日本時間)
composite number 合成数
21602584236507048793078528427619328574849069639901071407067296022517802018044160637327267054645009844244751<107>
prime factors 素因数
24892467603668557753000090400586736677794572369<47>
867836189664191492656674254659120524677089561991211694320479<60>
factorization results 素因数分解の結果
Number: 75551_144
N=21602584236507048793078528427619328574849069639901071407067296022517802018044160637327267054645009844244751
  ( 107 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=24892467603668557753000090400586736677794572369
 r2=867836189664191492656674254659120524677089561991211694320479
Version: 
Total time: 6.29 hours.
Scaled time: 14.99 units (timescale=2.381).
Factorization parameters were as follows:
n: 21602584236507048793078528427619328574849069639901071407067296022517802018044160637327267054645009844244751
m: 100000000000000000000000000000
deg: 5
c5: 34
c0: -205
skew: 1.43
type: snfs
lss: 1
rlim: 2550000
alim: 2550000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2550000/2550000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1275000, 2625001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4846416
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 395311 x 395559
Total sieving time: 5.52 hours.
Total relation processing time: 0.39 hours.
Matrix solve time: 0.34 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,2550000,2550000,26,26,49,49,2.3,2.3,75000
total time: 6.29 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673795)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672307)
Calibrating delay using timer specific routine.. 5237.88 BogoMIPS (lpj=2618943)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 13, 2009 00:00:00 UTC 2009 年 12 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)

68×10145-419

c130

name 名前Sinkiti Sibata
date 日付December 14, 2009 07:40:54 UTC 2009 年 12 月 14 日 (月) 16 時 40 分 54 秒 (日本時間)
composite number 合成数
1785823114047205532864564142717380990154970562116196561108798970213154646674726763889941941960613721969295735669951892273343422363<130>
prime factors 素因数
1255612128577662110396954971095716478536029<43>
1422272908489788307449303177089974136622832027358183808413023957457841927697351017801047<88>
factorization results 素因数分解の結果
Number: 75551_145
N=1785823114047205532864564142717380990154970562116196561108798970213154646674726763889941941960613721969295735669951892273343422363
  ( 130 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=1255612128577662110396954971095716478536029 (pp43)
 r2=1422272908489788307449303177089974136622832027358183808413023957457841927697351017801047 (pp88)
Version: Msieve v. 1.42
Total time: 0.44 hours.
Scaled time: 0.30 units (timescale=0.682).
Factorization parameters were as follows:
name: 75551_145
n: 1785823114047205532864564142717380990154970562116196561108798970213154646674726763889941941960613721969295735669951892273343422363
m: 100000000000000000000000000000
deg: 5
c5: 68
c0: -41
skew: 0.90
type: snfs
lss: 1
rlim: 1960000
alim: 1960000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1960000/1960000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [980000, 2280001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 329999 x 330224
Total sieving time: 0.00 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.34 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1960000,1960000,26,26,49,49,2.3,2.3,100000
total time: 0.44 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.33 BogoMIPS (lpj=1860666)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860571)
Total of 2 processors activated (7442.47 BogoMIPS).

Total time: 8 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 13, 2009 00:00:00 UTC 2009 年 12 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)

68×10146-419

c114

name 名前Sinkiti Sibata
date 日付December 13, 2009 22:56:10 UTC 2009 年 12 月 14 日 (月) 7 時 56 分 10 秒 (日本時間)
composite number 合成数
128973995797215448814484116169921270822336396257811193385527946367660864173463162736114202640935324439767195543557<114>
prime factors 素因数
91745407526091275078581201574964401<35>
31940625612168213799541729966676659153<38>
44012334266984213041400029357929142350469<41>
factorization results 素因数分解の結果
Number: 75551_146
N=128973995797215448814484116169921270822336396257811193385527946367660864173463162736114202640935324439767195543557
  ( 114 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=91745407526091275078581201574964401 (pp35)
 r2=31940625612168213799541729966676659153 (pp38)
 r3=44012334266984213041400029357929142350469 (pp41)
Version: Msieve v. 1.42
Total time: 0.46 hours.
Scaled time: 0.37 units (timescale=0.796).
Factorization parameters were as follows:
name: 75551_146
n: 128973995797215448814484116169921270822336396257811193385527946367660864173463162736114202640935324439767195543557
m: 100000000000000000000000000000
deg: 5
c5: 680
c0: -41
skew: 0.57
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 334952 x 335178
Total sieving time: 0.00 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.32 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,147.000,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 0.46 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.33 BogoMIPS (lpj=1860666)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860571)
Total of 2 processors activated (7442.47 BogoMIPS).

Total time: 8 hours 43 min.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 13, 2009 00:00:00 UTC 2009 年 12 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)

68×10148-419

c92

name 名前Jo Yeong Uk
date 日付December 13, 2009 07:16:29 UTC 2009 年 12 月 13 日 (日) 16 時 16 分 29 秒 (日本時間)
composite number 合成数
14454325141254200952289562052566937159494074260230698612511874552142164528479835960990968953<92>
prime factors 素因数
76180334184904123317889342999934709966538801<44>
189738274266043670657541526420182749846309412553<48>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 14454325141254200952289562052566937159494074260230698612511874552142164528479835960990968953 (92 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=7439269695
Step 1 took 2839ms
Step 2 took 3401ms
********** Factor found in step 2: 76180334184904123317889342999934709966538801
Found probable prime factor of 44 digits: 76180334184904123317889342999934709966538801
Probable prime cofactor 189738274266043670657541526420182749846309412553 has 48 digits
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 13, 2009 00:00:00 UTC 2009 年 12 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)

68×10149-419

c136

name 名前Serge Batalov
date 日付December 13, 2009 08:41:23 UTC 2009 年 12 月 13 日 (日) 17 時 41 分 23 秒 (日本時間)
composite number 合成数
7724491918494245874564752853932774291919107471886360387090489304436455077678178551474229342774184191837934360272488018397914025393952591<136>
prime factors 素因数
21519667365367654842470583146011<32>
358950340046869773901826232727800735939422222200866796152564338086970669249438689493918216794682673538781<105>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2986990002
Step 1 took 9185ms
Step 2 took 4904ms
********** Factor found in step 2: 21519667365367654842470583146011
Found probable prime factor of 32 digits: 21519667365367654842470583146011
Probable prime cofactor has 105 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 13, 2009 00:00:00 UTC 2009 年 12 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)

68×10151-419

c118

name 名前Serge Batalov
date 日付January 3, 2010 19:40:52 UTC 2010 年 1 月 4 日 (月) 4 時 40 分 52 秒 (日本時間)
composite number 合成数
1102932457050461524888604991351027073996484460931201092548206398798293471150833209468392126423258698582149258552492541<118>
prime factors 素因数
1800451511689245767314330676089963<34>
215669343984462193160840678875020861123073<42>
2840397163010223335259614351210661990799159<43>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1874315294
Step 1 took 5677ms
Step 2 took 3232ms
********** Factor found in step 2: 1800451511689245767314330676089963
Found probable prime factor of 34 digits: 1800451511689245767314330676089963
Composite cofactor has 84 digits

YAFU
==== sieve params ====
n = 85 digits, 282 bits
factor base: 53604 primes (max prime = 1403261)
single large prime cutoff: 133309795 (95 * pmax)
double large prime range from 42 to 49 bits
...
largest cycle: 17 relations
seed1 = 1506533920, seed2 = 1741200034
matrix is 53604 x 53672 (10.8 MB) with weight 2405778 (44.82/col)
sparse part has weight 2405778 (44.82/col)
filtering completed in 3 passes
matrix is 46886 x 46950 (9.7 MB) with weight 2169331 (46.21/col)
sparse part has weight 2169331 (46.21/col)
saving the first 48 matrix rows for later
matrix is 46838 x 46950 (8.5 MB) with weight 1877032 (39.98/col)
sparse part has weight 1753611 (37.35/col)
matrix includes 64 packed rows
using block size 18780 for processor cache size 1024 kB
commencing Lanczos iteration
memory use: 7.1 MB
lanczos halted after 742 iterations (dim = 46835)
recovered 16 nontrivial dependencies
Lanczos elapsed time = 20.6800 seconds.
Sqrt elapsed time = 2.9400 seconds.
SIQS elapsed time = 1085.8868 seconds.


***factors found***

PRP43 = 2840397163010223335259614351210661990799159
PRP42 = 215669343984462193160840678875020861123073

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)

68×10152-419

c153

name 名前Dmitry Domanov
date 日付January 4, 2010 06:37:09 UTC 2010 年 1 月 4 日 (月) 15 時 37 分 9 秒 (日本時間)
composite number 合成数
755555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551<153>
prime factors 素因数
16265246119665877213097123323621966604962907<44>
46452144037466078956508748338336320602320826318297272551484549901155394088684665086396413848049034018284223693<110>
factorization results 素因数分解の結果
N=755555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551
  ( 153 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=16265246119665877213097123323621966604962907 (pp44)
 r2=46452144037466078956508748338336320602320826318297272551484549901155394088684665086396413848049034018284223693 (pp110)
Version: Msieve-1.40
Total time: 25.71 hours.
Scaled time: 23.98 units (timescale=0.933).
Factorization parameters were as follows:
n: 755555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551
m: 1000000000000000000000000000000
deg: 5
c5: 6800
c0: -41
skew: 0.36
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 533036 x 533262
Total sieving time: 24.93 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.56 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 25.71 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)

68×10154-419

c141

name 名前Sinkiti Sibata
date 日付January 5, 2010 07:46:31 UTC 2010 年 1 月 5 日 (火) 16 時 46 分 31 秒 (日本時間)
composite number 合成数
686865912778497563006607935673722168950584478407733505460022741513954322994738243612258520486632870972024170511867954041174518576598767296869<141>
prime factors 素因数
7113194585266612260469948794515575092037305728888252909474307935569<67>
96562227357197046127888613298491383590574150483192128499408203794328927701<74>
factorization results 素因数分解の結果
Number: 75551_154
N=686865912778497563006607935673722168950584478407733505460022741513954322994738243612258520486632870972024170511867954041174518576598767296869
  ( 141 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=7113194585266612260469948794515575092037305728888252909474307935569 (pp67)
 r2=96562227357197046127888613298491383590574150483192128499408203794328927701 (pp74)
Version: Msieve v. 1.42
Total time: 0.94 hours.
Scaled time: 0.64 units (timescale=0.681).
Factorization parameters were as follows:
name: 75551_154
n: 686865912778497563006607935673722168950584478407733505460022741513954322994738243612258520486632870972024170511867954041174518576598767296869
m: 2000000000000000000000000000000
deg: 5
c5: 21250
c0: -41
skew: 0.29
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 499888 x 500120
Total sieving time: 0.00 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.75 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,155.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 0.94 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.60 BogoMIPS (lpj=1860802)
Calibrating delay using timer specific routine.. 3721.15 BogoMIPS (lpj=1860575)
Total of 2 processors activated (7442.75 BogoMIPS).

Total time: 25 hours 53 min.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)

68×10155-419

c156

name 名前Dmitry Domanov
date 日付January 3, 2010 23:02:59 UTC 2010 年 1 月 4 日 (月) 8 時 2 分 59 秒 (日本時間)
composite number 合成数
755555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551<156>
prime factors 素因数
28495152348060838721385624667366881623485193<44>
26515231304140504635485781751519376731948832334575816583191434338012797846914694311904498999626897777245289674407<113>
factorization results 素因数分解の結果
N=755555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551
  ( 156 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=28495152348060838721385624667366881623485193 (pp44)
 r2=26515231304140504635485781751519376731948832334575816583191434338012797846914694311904498999626897777245289674407 (pp113)
Version: Msieve-1.40
Total time: 19.06 hours.
Scaled time: 36.43 units (timescale=1.911).
Factorization parameters were as follows:
n: 755555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551
m: 10000000000000000000000000000000
deg: 5
c5: 68
c0: -41
skew: 0.90
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 493077 x 493308
Total sieving time: 18.58 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.31 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 19.06 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)

68×10156-419

c156

name 名前Dmitry Domanov
date 日付January 4, 2010 14:23:55 UTC 2010 年 1 月 4 日 (月) 23 時 23 分 55 秒 (日本時間)
composite number 合成数
279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613<156>
prime factors 素因数
7666930760339397981689825984631570788757083231015776786863281650485401<70>
36499011102862022835221587958605075358227478712315354953586197866770081205231441787413<86>
factorization results 素因数分解の結果
N=279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613
  ( 156 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=7666930760339397981689825984631570788757083231015776786863281650485401 (pp70)
 r2=36499011102862022835221587958605075358227478712315354953586197866770081205231441787413 (pp86)
Version: Msieve-1.40
Total time: 26.68 hours.
Scaled time: 24.92 units (timescale=0.934).
Factorization parameters were as follows:
n: 279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613
m: 10000000000000000000000000000000
deg: 5
c5: 680
c0: -41
skew: 0.57
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 551055 x 551282
Total sieving time: 25.91 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.56 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 26.68 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
3025e40--
351e6118 / 904Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)

68×10158-419

c146

name 名前Jo Yeong Uk
date 日付January 7, 2010 08:27:43 UTC 2010 年 1 月 7 日 (木) 17 時 27 分 43 秒 (日本時間)
composite number 合成数
34929747898042953319299661699542241564297800435599373898713925518265290771320883032507721278640680375680148208741277507401813204992286528621757133<146>
prime factors 素因数
75420892398406062028282689944878365137429<41>
463130928145596369150726315727974188058350660511658696435810268328147071112654686473251986145426845141977<105>
factorization results 素因数分解の結果
Number: 75551_158
N=34929747898042953319299661699542241564297800435599373898713925518265290771320883032507721278640680375680148208741277507401813204992286528621757133
  ( 146 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=75420892398406062028282689944878365137429
 r2=463130928145596369150726315727974188058350660511658696435810268328147071112654686473251986145426845141977
Version: 
Total time: 18.12 hours.
Scaled time: 43.32 units (timescale=2.391).
Factorization parameters were as follows:
n: 34929747898042953319299661699542241564297800435599373898713925518265290771320883032507721278640680375680148208741277507401813204992286528621757133
m: 100000000000000000000000000000000
deg: 5
c5: 17
c0: -1025
skew: 2.27
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1700000, 3300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8707863
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 591087 x 591335
Total sieving time: 16.55 hours.
Total relation processing time: 0.68 hours.
Matrix solve time: 0.76 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,50,50,2.4,2.4,100000
total time: 18.12 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673795)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672307)
Calibrating delay using timer specific routine.. 5237.88 BogoMIPS (lpj=2618943)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)

68×10159-419

c81

name 名前10metreh
date 日付January 3, 2010 20:52:13 UTC 2010 年 1 月 4 日 (月) 5 時 52 分 13 秒 (日本時間)
composite number 合成数
467056333186607962861655564229249703131552949840986084818714373350924677948170241<81>
prime factors 素因数
11364592162486662783320113270586759<35>
41097500597365241273973820769849749485888722999<47>
factorization results 素因数分解の結果
Sun Jan 03 19:46:09 2010  
Sun Jan 03 19:46:09 2010  
Sun Jan 03 19:46:09 2010  Msieve v. 1.43
Sun Jan 03 19:46:09 2010  random seeds: a2bdf5ac 18d498dd
Sun Jan 03 19:46:09 2010  factoring 467056333186607962861655564229249703131552949840986084818714373350924677948170241 (81 digits)
Sun Jan 03 19:46:11 2010  searching for 15-digit factors
Sun Jan 03 19:46:12 2010  commencing quadratic sieve (81-digit input)
Sun Jan 03 19:46:12 2010  using multiplier of 6
Sun Jan 03 19:46:12 2010  using 64kb Pentium 4 sieve core
Sun Jan 03 19:46:12 2010  sieve interval: 6 blocks of size 65536
Sun Jan 03 19:46:12 2010  processing polynomials in batches of 17
Sun Jan 03 19:46:12 2010  using a sieve bound of 1307077 (50588 primes)
Sun Jan 03 19:46:12 2010  using large prime bound of 128093546 (26 bits)
Sun Jan 03 19:46:12 2010  using trial factoring cutoff of 27 bits
Sun Jan 03 19:46:12 2010  polynomial 'A' values have 10 factors
Sun Jan 03 20:20:30 2010  50690 relations (26490 full + 24200 combined from 267291 partial), need 50684
Sun Jan 03 20:20:31 2010  begin with 293781 relations
Sun Jan 03 20:20:32 2010  reduce to 71842 relations in 2 passes
Sun Jan 03 20:20:32 2010  attempting to read 71842 relations
Sun Jan 03 20:20:33 2010  recovered 71842 relations
Sun Jan 03 20:20:33 2010  recovered 60714 polynomials
Sun Jan 03 20:20:33 2010  attempting to build 50690 cycles
Sun Jan 03 20:20:33 2010  found 50690 cycles in 1 passes
Sun Jan 03 20:20:33 2010  distribution of cycle lengths:
Sun Jan 03 20:20:33 2010     length 1 : 26490
Sun Jan 03 20:20:33 2010     length 2 : 24200
Sun Jan 03 20:20:33 2010  largest cycle: 2 relations
Sun Jan 03 20:20:34 2010  matrix is 50588 x 50690 (6.9 MB) with weight 1593417 (31.43/col)
Sun Jan 03 20:20:34 2010  sparse part has weight 1593417 (31.43/col)
Sun Jan 03 20:20:35 2010  filtering completed in 3 passes
Sun Jan 03 20:20:35 2010  matrix is 35366 x 35429 (5.3 MB) with weight 1256810 (35.47/col)
Sun Jan 03 20:20:35 2010  sparse part has weight 1256810 (35.47/col)
Sun Jan 03 20:20:35 2010  saving the first 48 matrix rows for later
Sun Jan 03 20:20:36 2010  matrix is 35318 x 35429 (4.0 MB) with weight 1001187 (28.26/col)
Sun Jan 03 20:20:36 2010  sparse part has weight 833800 (23.53/col)
Sun Jan 03 20:20:36 2010  matrix includes 64 packed rows
Sun Jan 03 20:20:36 2010  using block size 10922 for processor cache size 256 kB
Sun Jan 03 20:20:36 2010  commencing Lanczos iteration
Sun Jan 03 20:20:36 2010  memory use: 4.5 MB
Sun Jan 03 20:20:51 2010  lanczos halted after 560 iterations (dim = 35316)
Sun Jan 03 20:20:52 2010  recovered 18 nontrivial dependencies
Sun Jan 03 20:20:52 2010  prp35 factor: 11364592162486662783320113270586759
Sun Jan 03 20:20:52 2010  prp47 factor: 41097500597365241273973820769849749485888722999
Sun Jan 03 20:20:52 2010  elapsed time 00:34:43

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)

68×10162-419

c139

name 名前Sinkiti Sibata
date 日付January 7, 2010 05:39:37 UTC 2010 年 1 月 7 日 (木) 14 時 39 分 37 秒 (日本時間)
composite number 合成数
2372625040178353207911192262937000467508503100844776837552487954892235264010225242943808537950225646132421904849086855761762645941734485277<139>
prime factors 素因数
35708957969067928411845633029253083221208537507<47>
66443412945109896897317311154095891354449262574060500160579777073199595589676189339444546111<92>
factorization results 素因数分解の結果
Number: 75551_162
N=2372625040178353207911192262937000467508503100844776837552487954892235264010225242943808537950225646132421904849086855761762645941734485277
  ( 139 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=35708957969067928411845633029253083221208537507 (pp47)
 r2=66443412945109896897317311154095891354449262574060500160579777073199595589676189339444546111 (pp92)
Version: Msieve-1.40
Total time: 41.39 hours.
Scaled time: 138.96 units (timescale=3.357).
Factorization parameters were as follows:
name: 75551_162
n: 2372625040178353207911192262937000467508503100844776837552487954892235264010225242943808537950225646132421904849086855761762645941734485277
m: 100000000000000000000000000000000
deg: 5
c5: 6800
c0: -41
skew: 0.36
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 4200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 778455 x 778703
Total sieving time: 40.08 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.14 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,163.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 41.39 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)

68×10163-419

c100

name 名前Jeff Gilchrist
date 日付January 4, 2010 23:42:10 UTC 2010 年 1 月 5 日 (火) 8 時 42 分 10 秒 (日本時間)
composite number 合成数
2881039827457895971881627053137530734638790825166127496066674320241571446494762386620442953820735453<100>
prime factors 素因数
618162834186865969389336374155487198277265679<45>
4660648728983566373964395375209529291596595400646068307<55>
factorization results 素因数分解の結果
Number: 75551_163
N = 2881039827457895971881627053137530734638790825166127496066674320241571446494762386620442953820735453 (100 digits)
Divisors found:
r1=618162834186865969389336374155487198277265679 (pp45)
r2=4660648728983566373964395375209529291596595400646068307 (pp55)
Version: Msieve v. 1.43
Total time: 1.42 hours.
Factorization parameters were as follows:
name: 75551_163
n: 2881039827457895971881627053137530734638790825166127496066674320241571446494762386620442953820735453
skew: 3780.87
# norm 1.16e+14
c5: 204120
c4: -1300662016
c3: -14887528966064
c2: -9629246254240576
c1: 71784960098507618961
c0: -38188640167192634569245
# alpha -6.1
Y1: 12865768213
Y0: -6759799176610485742
# Murphy_E 3.54e-09
# M 2408690409668872972498825223104012108680184159710574206632939121534908082764849200033474314310432048
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [900000, 1399997)
Relations: 421778 relations
Max relations in full relation-set: 0
Pruned matrix : 228144 x 228392
Polynomial selection time: 0.50 hours.
Total sieving time: 0.83 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
time per square root: 0.03 hours.
Prototype def-par.txt line would be: gnfs,99,5,58,1500,0.003,0.4,220,15,10000,2000,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 1.42 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
factmsieve.py + ggnfs + msieve 1.43
execution environment 実行環境
Core2 Quad @ 3.4Ghz Windows 7 64bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)

68×10164-419

c156

name 名前Dmitry Domanov
date 日付January 4, 2010 20:50:40 UTC 2010 年 1 月 5 日 (火) 5 時 50 分 40 秒 (日本時間)
composite number 合成数
854298940873226936453206833399585409703925361028205450537723725394312772623854455427207353586984530904922059089555404555453847874575273833310906541365143473<156>
prime factors 素因数
10480313600707818519673730831694171012181<41>
79484851267639022744141520721812582516323879611<47>
1025536740507414856643349087642408363723183743909269787774321601955703<70>
factorization results 素因数分解の結果
N=854298940873226936453206833399585409703925361028205450537723725394312772623854455427207353586984530904922059089555404555453847874575273833310906541365143473
  ( 156 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=10480313600707818519673730831694171012181 (pp41)
 r2=79484851267639022744141520721812582516323879611 (pp47)
 r3=1025536740507414856643349087642408363723183743909269787774321601955703 (pp70)
Version: Msieve-1.40
Total time: 47.12 hours.
Scaled time: 88.45 units (timescale=1.877).
Factorization parameters were as follows:
n: 854298940873226936453206833399585409703925361028205450537723725394312772623854455427207353586984530904922059089555404555453847874575273833310906541365143473
m: 200000000000000000000000000000000
deg: 5
c5: 21250
c0: -41
skew: 0.29
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 4750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 885225 x 885472
Total sieving time: 45.76 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.01 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 47.12 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
3025e40--
351e6118 / 904Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)

68×10165-419

c134

name 名前Sinkiti Sibata
date 日付January 7, 2010 05:51:09 UTC 2010 年 1 月 7 日 (木) 14 時 51 分 9 秒 (日本時間)
composite number 合成数
51260830075246492107266439379446763552525443088692599196624652616565393358611840602311383576732029814245648927834786996160510609639173<134>
prime factors 素因数
1315468648267952703916159368746126101068928360158252656417561<61>
38967732254767490957428392133660281893785076401193544827887631952555046093<74>
factorization results 素因数分解の結果
Number: 75551_165
N=51260830075246492107266439379446763552525443088692599196624652616565393358611840602311383576732029814245648927834786996160510609639173
  ( 134 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=1315468648267952703916159368746126101068928360158252656417561 (pp61)
 r2=38967732254767490957428392133660281893785076401193544827887631952555046093 (pp74)
Version: Msieve v. 1.42
Total time: 2.11 hours.
Scaled time: 1.68 units (timescale=0.795).
Factorization parameters were as follows:
name: 75551_165
n: 51260830075246492107266439379446763552525443088692599196624652616565393358611840602311383576732029814245648927834786996160510609639173
m: 1000000000000000000000000000000000
deg: 5
c5: 68
c0: -41
skew: 0.90
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 785935 x 786161
Total sieving time: 0.00 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.88 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,166.000,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 2.11 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.60 BogoMIPS (lpj=1860802)
Calibrating delay using timer specific routine.. 3721.15 BogoMIPS (lpj=1860575)
Total of 2 processors activated (7442.75 BogoMIPS).

Total time: 41 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)

68×10167-419

c168

name 名前Dmitry Domanov
date 日付January 4, 2010 11:28:11 UTC 2010 年 1 月 4 日 (月) 20 時 28 分 11 秒 (日本時間)
composite number 合成数
755555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551<168>
prime factors 素因数
97444394186808858095826969551<29>
7753709814307982449336949846780269362303224605662537443510883867112046199281772906850279731511642337447144693056485266996098428820587286001<139>
factorization results 素因数分解の結果
N=755555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551
  ( 168 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=97444394186808858095826969551 (pp29)
 r2=7753709814307982449336949846780269362303224605662537443510883867112046199281772906850279731511642337447144693056485266996098428820587286001 (pp139)
Version: Msieve-1.40
Total time: 60.06 hours.
Scaled time: 112.73 units (timescale=1.877).
Factorization parameters were as follows:
n: 755555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551
m: 1000000000000000000000000000000000
deg: 5
c5: 6800
c0: -41
skew: 0.36
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2300000, 5600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1052112 x 1052347
Total sieving time: 57.99 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.39 hours.
Time per square root: 0.58 hours.
Prototype def-par.txt line would be:
snfs,168.000,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 60.06 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
3025e40--
351e6118 / 904Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)

68×10172-419

c151

name 名前Robert Backstrom
date 日付June 7, 2010 05:44:45 UTC 2010 年 6 月 7 日 (月) 14 時 44 分 45 秒 (日本時間)
composite number 合成数
1094481594677759085044495361805976042773723217295337358424152833352263721606733138900169147669373480840204336289643884602593586849287210509801285319877<151>
prime factors 素因数
86166160028941498815572270435461397102783267269<47>
12701988742566043245934458591581557336288557290252395775023100775604650730019021919383339027298687500033<104>
factorization results 素因数分解の結果
Number: n
N=1094481594677759085044495361805976042773723217295337358424152833352263721606733138900169147669373480840204336289643884602593586849287210509801285319877
  ( 151 digits)
SNFS difficulty: 173 digits.
Divisors found:

Mon Jun  7 15:39:34 2010  prp47 factor: 86166160028941498815572270435461397102783267269
Mon Jun  7 15:39:34 2010  prp104 factor: 12701988742566043245934458591581557336288557290252395775023100775604650730019021919383339027298687500033
Mon Jun  7 15:39:34 2010  elapsed time 03:11:12 (Msieve 1.42 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=0.877).
Factorization parameters were as follows:
name: KA_7_5_171_1
n: 1094481594677759085044495361805976042773723217295337358424152833352263721606733138900169147669373480840204336289643884602593586849287210509801285319877
m: 10000000000000000000000000000000000
deg: 5
c5: 6800
c0: -41
skew: 0.36
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 10050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1568583 hash collisions in 11726583 relations
Msieve: matrix is 1066926 x 1067160 (301.8 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2034788k/2097088k available (3786k kernel code, 388k absent, 61912k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6026.89 BogoMIPS (lpj=3013446)
Calibrating delay using timer specific routine.. 6026.96 BogoMIPS (lpj=3013483)
Total of 2 processors activated (12053.85 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJanuary 21, 2010 13:20:54 UTC 2010 年 1 月 21 日 (木) 22 時 20 分 54 秒 (日本時間)

68×10175-419

c124

name 名前Jeff Gilchrist
date 日付January 10, 2010 11:13:50 UTC 2010 年 1 月 10 日 (日) 20 時 13 分 50 秒 (日本時間)
composite number 合成数
2798929745477977218344962362723822376992852133593770204269935030505807579887071901985641382399237363143172250710806582702523<124>
prime factors 素因数
763667022218543471484036717829944264561787<42>
3665117995205231748601287609570878931901848707918948654552653128406178177817736129<82>
factorization results 素因数分解の結果
Number: 75551_175
N = 2798929745477977218344962362723822376992852133593770204269935030505807579887071901985641382399237363143172250710806582702523 (124 digits)
Divisors found:
r1=763667022218543471484036717829944264561787 (pp42)
r2=3665117995205231748601287609570878931901848707918948654552653128406178177817736129 (pp82)
Version: Msieve v. 1.43
Total time: 20.83 hours.
Factorization parameters were as follows:
# Murphy_E = 7.743248e-12, selected by Max Dettweiler
n: 2798929745477977218344962362723822376992852133593770204269935030505807579887071901985641382399237363143172250710806582702523
Y0: -1173078002760387706475674
Y1: 18288171943219
c0: -2765612058008087271595590555201
c1: 36391822442129011306073625
c2: 393417305259726181429
c3: -431755283101909
c4: -2419794212
c5: 1260
skew: 395897.28
type: gnfs
# selected mechanically
rlim: 6500000
alim: 6500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [3250000, 5949999)
Relations: 1593332 relations
Max relations in full relation-set: 0
Pruned matrix : 926704 x 926931
Polynomial selection time: 0.00 hours.
Total sieving time: 19.53 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 1.16 hours.
time per square root: 0.08 hours.
Prototype def-par.txt line would be: gnfs,123,5,65,2000,1e-05,0.28,250,20,50000,3600,6500000,6500000,27,27,52,52,2.5,2.5,100000
total time: 20.83 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
factmsieve.py + ggnfs + msieve 1.43
execution environment 実行環境
Core2 @ 3.4GHz Windows 7 64bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)

68×10178-419

c174

name 名前Dmitry Domanov
date 日付February 19, 2010 09:04:45 UTC 2010 年 2 月 19 日 (金) 18 時 4 分 45 秒 (日本時間)
composite number 合成数
199148522918334169464264115456941892853994553287898183560465152376442252639230443248967575984679621278082504304390317047377140736796819012358044443507274924828754235200848607<174>
prime factors 素因数
34063526559732195042820114439118871191568007739571004167490201221775263687087532501<83>
5846385945069918227572402288717310273239227030323641177550660869530076113455974989777371107<91>
factorization results 素因数分解の結果
N=199148522918334169464264115456941892853994553287898183560465152376442252639230443248967575984679621278082504304390317047377140736796819012358044443507274924828754235200848607
  ( 174 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=34063526559732195042820114439118871191568007739571004167490201221775263687087532501 (pp83)
 r2=5846385945069918227572402288717310273239227030323641177550660869530076113455974989777371107 (pp91)
Version: Msieve-1.40
Total time: 120.19 hours.
Scaled time: 222.96 units (timescale=1.855).
Factorization parameters were as follows:
n: 199148522918334169464264115456941892853994553287898183560465152376442252639230443248967575984679621278082504304390317047377140736796819012358044443507274924828754235200848607
m: 200000000000000000000000000000000000
deg: 5
c5: 2125
c0: -41
skew: 0.45
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 240000Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3500000, 9500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1412554 x 1412783
Total sieving time: 117.16 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 2.51 hours.
Time per square root: 0.35 hours.
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,100000
total time: 120.19 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
351e6118Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)
403e60 / 1670--
4511e6188 / 4475Dmitry DomanovJanuary 4, 2010 09:35:52 UTC 2010 年 1 月 4 日 (月) 18 時 35 分 52 秒 (日本時間)

68×10180-419

c124

name 名前Serge Batalov
date 日付January 3, 2010 19:11:15 UTC 2010 年 1 月 4 日 (月) 4 時 11 分 15 秒 (日本時間)
composite number 合成数
3424105251839258171926455713266249247208468806949540583180620423196714804955647131711350272442947972336250758705563953578109<124>
prime factors 素因数
20172163857778181982114810427939<32>
composite cofactor 合成数の残り
169744072870940808006123771367149313959885319832945760543554664726965669515188400536921208031<93>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=868793981
Step 1 took 5752ms
********** Factor found in step 1: 20172163857778181982114810427939
Found probable prime factor of 32 digits: 20172163857778181982114810427939
Composite cofactor has 93 digits

c93

name 名前Robert Backstrom
date 日付January 5, 2010 02:44:04 UTC 2010 年 1 月 5 日 (火) 11 時 44 分 4 秒 (日本時間)
composite number 合成数
169744072870940808006123771367149313959885319832945760543554664726965669515188400536921208031<93>
prime factors 素因数
6699463235042212417244350819793761601363071423<46>
25336966099474575804792334031651111897617360097<47>
factorization results 素因数分解の結果
Tue Jan 05 10:13:27 2010  
Tue Jan 05 10:13:27 2010  
Tue Jan 05 10:13:27 2010  Msieve v. 1.43
Tue Jan 05 10:13:27 2010  random seeds: cfb119e0 cd2a6e96
Tue Jan 05 10:13:27 2010  factoring 169744072870940808006123771367149313959885319832945760543554664726965669515188400536921208031 (93 digits)
Tue Jan 05 10:13:27 2010  searching for 15-digit factors
Tue Jan 05 10:13:28 2010  commencing quadratic sieve (93-digit input)
Tue Jan 05 10:13:28 2010  using multiplier of 11
Tue Jan 05 10:13:28 2010  using 64kb Opteron sieve core
Tue Jan 05 10:13:28 2010  sieve interval: 18 blocks of size 65536
Tue Jan 05 10:13:28 2010  processing polynomials in batches of 6
Tue Jan 05 10:13:28 2010  using a sieve bound of 1880597 (70588 primes)
Tue Jan 05 10:13:28 2010  using large prime bound of 220029849 (27 bits)
Tue Jan 05 10:13:28 2010  using double large prime bound of 1038644301309030 (42-50 bits)
Tue Jan 05 10:13:28 2010  using trial factoring cutoff of 50 bits
Tue Jan 05 10:13:28 2010  polynomial 'A' values have 12 factors
Tue Jan 05 12:19:35 2010  70937 relations (17345 full + 53592 combined from 936362 partial), need 70684
Tue Jan 05 12:19:36 2010  begin with 953707 relations
Tue Jan 05 12:19:37 2010  reduce to 182711 relations in 10 passes
Tue Jan 05 12:19:37 2010  attempting to read 182711 relations
Tue Jan 05 12:19:39 2010  recovered 182711 relations
Tue Jan 05 12:19:39 2010  recovered 167652 polynomials
Tue Jan 05 12:19:39 2010  attempting to build 70937 cycles
Tue Jan 05 12:19:39 2010  found 70937 cycles in 6 passes
Tue Jan 05 12:19:39 2010  distribution of cycle lengths:
Tue Jan 05 12:19:39 2010     length 1 : 17345
Tue Jan 05 12:19:39 2010     length 2 : 12478
Tue Jan 05 12:19:39 2010     length 3 : 12217
Tue Jan 05 12:19:39 2010     length 4 : 9714
Tue Jan 05 12:19:39 2010     length 5 : 7220
Tue Jan 05 12:19:39 2010     length 6 : 4728
Tue Jan 05 12:19:39 2010     length 7 : 3073
Tue Jan 05 12:19:39 2010     length 9+: 4162
Tue Jan 05 12:19:39 2010  largest cycle: 20 relations
Tue Jan 05 12:19:40 2010  matrix is 70588 x 70937 (17.9 MB) with weight 4416643 (62.26/col)
Tue Jan 05 12:19:40 2010  sparse part has weight 4416643 (62.26/col)
Tue Jan 05 12:19:41 2010  filtering completed in 3 passes
Tue Jan 05 12:19:41 2010  matrix is 67191 x 67255 (17.0 MB) with weight 4198430 (62.43/col)
Tue Jan 05 12:19:41 2010  sparse part has weight 4198430 (62.43/col)
Tue Jan 05 12:19:41 2010  saving the first 48 matrix rows for later
Tue Jan 05 12:19:41 2010  matrix is 67143 x 67255 (10.2 MB) with weight 3255676 (48.41/col)
Tue Jan 05 12:19:41 2010  sparse part has weight 2258011 (33.57/col)
Tue Jan 05 12:19:41 2010  matrix includes 64 packed rows
Tue Jan 05 12:19:41 2010  using block size 26902 for processor cache size 1024 kB
Tue Jan 05 12:19:41 2010  commencing Lanczos iteration
Tue Jan 05 12:19:41 2010  memory use: 10.8 MB
Tue Jan 05 12:19:51 2010  linear algebra at 35.8%, ETA 0h 0m
Tue Jan 05 12:20:07 2010  lanczos halted after 1064 iterations (dim = 67142)
Tue Jan 05 12:20:08 2010  recovered 17 nontrivial dependencies
Tue Jan 05 12:20:08 2010  prp46 factor: 6699463235042212417244350819793761601363071423
Tue Jan 05 12:20:08 2010  prp47 factor: 25336966099474575804792334031651111897617360097
Tue Jan 05 12:20:08 2010  elapsed time 02:06:41

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)

68×10181-419

c135

name 名前juno1369
date 日付May 23, 2010 15:03:42 UTC 2010 年 5 月 24 日 (月) 0 時 3 分 42 秒 (日本時間)
composite number 合成数
118055719577554989567091479792666479353259139695689882572532237372214722400726222849103949753686524838151056997695252764379469239939923<135>
prime factors 素因数
550699027090444322969206999257767226881<39>
214374302059854648981051583789374238242046146885862855032143297095627235780084159588865432684883<96>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3271416727
Step 1 took 5149ms
Step 2 took 5054ms
********** Factor found in step 2: 550699027090444322969206999257767226881
Found probable prime factor of 39 digits: 55069902709044432296920699925776722688
1
Probable prime cofactor 21437430205985464898105158378937423824204614688586285503
2143297095627235780084159588865432684883 has 96 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)

68×10183-419

c169

name 名前Dmitry Domanov
date 日付January 28, 2014 07:15:15 UTC 2014 年 1 月 28 日 (火) 16 時 15 分 15 秒 (日本時間)
composite number 合成数
5002236250833062641674655655848511247758981091358639113522031503310275904487775228674177399095298137420334736130480208403846518475070041640168068568930653884962263627629<169>
prime factors 素因数
38225911843265827735120371829289508280835153979911818308127<59>
130859828049184790507761114168501399162743513622648226175297841815326241146943124464681623162298531026627216627<111>
factorization results 素因数分解の結果
N=5002236250833062641674655655848511247758981091358639113522031503310275904487775228674177399095298137420334736130480208403846518475070041640168068568930653884962263627629
  ( 169 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=38225911843265827735120371829289508280835153979911818308127 (pp59)
 r2=130859828049184790507761114168501399162743513622648226175297841815326241146943124464681623162298531026627216627 (pp111)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 186.76 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 5002236250833062641674655655848511247758981091358639113522031503310275904487775228674177399095298137420334736130480208403846518475070041640168068568930653884962263627629
m: 2000000000000000000000000000000000000
deg: 5
c5: 2125
c0: -41
skew: 0.45
# Murphy_E = 5.472e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 13200001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1827074 x 1827301
Total sieving time: 182.35 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 3.21 hours.
Time per square root: 0.94 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 186.76 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovMay 12, 2011 06:27:48 UTC 2011 年 5 月 12 日 (木) 15 時 27 分 48 秒 (日本時間)
4511e6600 / 4409Rich DickersonNovember 11, 2013 21:14:52 UTC 2013 年 11 月 12 日 (火) 6 時 14 分 52 秒 (日本時間)

68×10185-419

c166

name 名前Jo Yeong Uk
date 日付December 24, 2014 11:30:43 UTC 2014 年 12 月 24 日 (水) 20 時 30 分 43 秒 (日本時間)
composite number 合成数
4121617844423305899316893599706206520280663068444870512395959553503960318118238810496647787380972770255156522961522294931390511401348822680446642725972156699966264007<166>
prime factors 素因数
21863537228413968941858282684463621056942503889204749857585301<62>
188515600260091010729539976886688676029443068639818192451981737840061599047329872505929370612954197596907<105>
factorization results 素因数分解の結果
Number: 75551_185
N=4121617844423305899316893599706206520280663068444870512395959553503960318118238810496647787380972770255156522961522294931390511401348822680446642725972156699966264007
  ( 166 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=21863537228413968941858282684463621056942503889204749857585301
 r2=188515600260091010729539976886688676029443068639818192451981737840061599047329872505929370612954197596907
Version: 
Total time: 84.80 hours.
Scaled time: 445.80 units (timescale=5.257).
Factorization parameters were as follows:
n: 4121617844423305899316893599706206520280663068444870512395959553503960318118238810496647787380972770255156522961522294931390511401348822680446642725972156699966264007
m: 10000000000000000000000000000000000000
deg: 5
c5: 68
c0: -41
skew: 0.90
# Murphy_E = 5.453e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 8000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20707343
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1725454 x 1725702
Total sieving time: 78.71 hours.
Total relation processing time: 2.08 hours.
Matrix solve time: 3.88 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 84.80 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.88 BogoMIPS (lpj=3399941)
Total of 12 processors activated (81598.58 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)
403e62100300Dmitry DomanovMay 12, 2011 06:27:55 UTC 2011 年 5 月 12 日 (木) 15 時 27 分 55 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:01:44 UTC 2014 年 1 月 9 日 (木) 14 時 1 分 44 秒 (日本時間)
1500Dmitry DomanovMarch 7, 2014 09:16:41 UTC 2014 年 3 月 7 日 (金) 18 時 16 分 41 秒 (日本時間)
4511e64011300Rich DickersonApril 8, 2014 01:09:30 UTC 2014 年 4 月 8 日 (火) 10 時 9 分 30 秒 (日本時間)
500Dmitry DomanovApril 16, 2014 12:06:19 UTC 2014 年 4 月 16 日 (水) 21 時 6 分 19 秒 (日本時間)
3211Jo Yeong UkDecember 6, 2014 13:05:17 UTC 2014 年 12 月 6 日 (土) 22 時 5 分 17 秒 (日本時間)

68×10188-419

c164

composite cofactor 合成数の残り
78242569580786184200524795833300955701120035835644560801774071470393311116063938468146166638679696112037537030010483673620832333548401649063042245826836069397814683<164>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)
403e62100300Dmitry DomanovMay 12, 2011 06:28:03 UTC 2011 年 5 月 12 日 (木) 15 時 28 分 3 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:01:45 UTC 2014 年 1 月 9 日 (木) 14 時 1 分 45 秒 (日本時間)
1500Dmitry DomanovMarch 7, 2014 09:16:53 UTC 2014 年 3 月 7 日 (金) 18 時 16 分 53 秒 (日本時間)
4511e6800 / 4011Rich DickersonApril 13, 2014 14:53:37 UTC 2014 年 4 月 13 日 (日) 23 時 53 分 37 秒 (日本時間)

68×10189-419

c176

composite cofactor 合成数の残り
16327375952345143775305537154308904528345953812970596472438116995083234780795672301786919058195525225162571344395651083753536985454944955807761522078600937302311389643446451039<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)
403e62100300Dmitry DomanovMay 12, 2011 06:28:13 UTC 2011 年 5 月 12 日 (木) 15 時 28 分 13 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:01:47 UTC 2014 年 1 月 9 日 (木) 14 時 1 分 47 秒 (日本時間)
1500Dmitry DomanovMarch 7, 2014 09:17:07 UTC 2014 年 3 月 7 日 (金) 18 時 17 分 7 秒 (日本時間)
4511e61000 / 4011Dmitry DomanovApril 16, 2014 12:06:47 UTC 2014 年 4 月 16 日 (水) 21 時 6 分 47 秒 (日本時間)

68×10190-419

c165

name 名前Dmitry Domanov
date 日付April 17, 2014 09:19:20 UTC 2014 年 4 月 17 日 (木) 18 時 19 分 20 秒 (日本時間)
composite number 合成数
167862355861462345907248320266710808890656755358726439555618101730858924060769933342329421455993526527826745476544670880492475364849567878197670356947224501799250687<165>
prime factors 素因数
12518149475130350840843709722409866607354743<44>
101682490137710695047946120470604195741986659<45>
131876377074194505273311286663822478187882300489382217760426155197730911449651<78>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=716669232
Step 1 took 84913ms
Step 2 took 27033ms
********** Factor found in step 2: 101682490137710695047946120470604195741986659
Found probable prime factor of 45 digits: 101682490137710695047946120470604195741986659
Composite cofactor 1650848200453420178874029792241751955298655739333067044655062507695678537737848819030164951066767900555216563424540544693 has 121 digits

N=1650848200453420178874029792241751955298655739333067044655062507695678537737848819030164951066767900555216563424540544693
  ( 121 digits)
Divisors found:
 r1=12518149475130350840843709722409866607354743 (pp44)
 r2=131876377074194505273311286663822478187882300489382217760426155197730911449651 (pp78)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 42.66 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1650848200453420178874029792241751955298655739333067044655062507695678537737848819030164951066767900555216563424540544693
skew: 885519.24
c0: 29634354054071650341582439393386
c1: 184271692588775312725183497
c2: -29205058292533043925
c3: -531852044580800
c4: 104442089
c5: 228
Y0: -373211003013839638889135
Y1: 183748317883
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
type: gnfs
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2550000, 4550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 770260 x 770503
Total sieving time: 41.84 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.59 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
gnfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5100000,5100000,27,27,54,54,2.5,2.5,100000
total time: 42.66 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)
403e62100300Dmitry DomanovMay 12, 2011 06:28:23 UTC 2011 年 5 月 12 日 (木) 15 時 28 分 23 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:01:49 UTC 2014 年 1 月 9 日 (木) 14 時 1 分 49 秒 (日本時間)
1500Dmitry DomanovMarch 7, 2014 09:17:19 UTC 2014 年 3 月 7 日 (金) 18 時 17 分 19 秒 (日本時間)
4511e61000 / 4011Dmitry DomanovApril 16, 2014 12:07:01 UTC 2014 年 4 月 16 日 (水) 21 時 7 分 1 秒 (日本時間)

68×10191-419

c188

name 名前Robert Backstrom
date 日付February 8, 2010 09:42:16 UTC 2010 年 2 月 8 日 (月) 18 時 42 分 16 秒 (日本時間)
composite number 合成数
11086817936514923998232630787767326821458210033244149665520485341759314965084675571990132732036501717641572958598887079128902193070412706797686768045834209681074638740928781868487513471299<188>
prime factors 素因数
370541504935364512282877622144595239003827<42>
52367013271029342530173146801529398587270217068986714996259<59>
571363179900083529120043343340575532047422978445846563128565517461476949723940216358043<87>
factorization results 素因数分解の結果
Number: n
N=11086817936514923998232630787767326821458210033244149665520485341759314965084675571990132732036501717641572958598887079128902193070412706797686768045834209681074638740928781868487513471299
  ( 188 digits)
SNFS difficulty: 192 digits.
Divisors found:

Mon Feb  8 20:36:58 2010  prp42 factor: 370541504935364512282877622144595239003827
Mon Feb  8 20:36:58 2010  prp59 factor: 52367013271029342530173146801529398587270217068986714996259
Mon Feb  8 20:36:58 2010  prp87 factor: 571363179900083529120043343340575532047422978445846563128565517461476949723940216358043
Mon Feb  8 20:36:58 2010  elapsed time 06:23:59 (Msieve 1.42 - dependency 2)

Version: 
Total time: 10.83 hours.
Scaled time: 9.12 units (timescale=0.842).
Factorization parameters were as follows:
name: KA_7_5_190_1
n: 11086817936514923998232630787767326821458210033244149665520485341759314965084675571990132732036501717641572958598887079128902193070412706797686768045834209681074638740928781868487513471299
m: 100000000000000000000000000000000000000
deg: 5
c5: 680
c0: -41
skew: 0.57
type: snfs
lss: 1
rlim: 11500000
alim: 11500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 11500000/11500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 8502097)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3092040 hash collisions in 28878760 relations
Msieve: matrix is 1565218 x 1565443 (421.8 MB)

Total sieving time: 10.83 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11500000,11500000,28,28,56,56,2.5,2.5,100000
total time: 10.83 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)
403e60 / 1787--
4511e6154 / 4475Dmitry DomanovJanuary 4, 2010 09:55:05 UTC 2010 年 1 月 4 日 (月) 18 時 55 分 5 秒 (日本時間)

68×10193-419

c179

composite cofactor 合成数の残り
44975950519740940543115371293950621249344007200176565824548426250885212437071849308830567287670272293613851895032041421624570059540153264148887534090427837914512942997254137621293<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)
403e62100300Dmitry DomanovMay 12, 2011 06:28:31 UTC 2011 年 5 月 12 日 (木) 15 時 28 分 31 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:01:49 UTC 2014 年 1 月 9 日 (木) 14 時 1 分 49 秒 (日本時間)
1500Dmitry DomanovMarch 7, 2014 09:17:33 UTC 2014 年 3 月 7 日 (金) 18 時 17 分 33 秒 (日本時間)
4511e61000 / 4011Dmitry DomanovApril 16, 2014 12:07:15 UTC 2014 年 4 月 16 日 (水) 21 時 7 分 15 秒 (日本時間)

68×10194-419

c161

composite cofactor 合成数の残り
21540278408196173044623910702599777402534714383154083222338275653026649027107471388801136097984380276830559376055551796154443465531393197314895816571838241675057<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)
403e62100300Dmitry DomanovMay 12, 2011 06:28:42 UTC 2011 年 5 月 12 日 (木) 15 時 28 分 42 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:01:50 UTC 2014 年 1 月 9 日 (木) 14 時 1 分 50 秒 (日本時間)
1500Dmitry DomanovMarch 7, 2014 09:17:45 UTC 2014 年 3 月 7 日 (金) 18 時 17 分 45 秒 (日本時間)
4511e61000 / 4011Dmitry DomanovApril 16, 2014 12:07:32 UTC 2014 年 4 月 16 日 (水) 21 時 7 分 32 秒 (日本時間)

68×10195-419

c158

composite cofactor 合成数の残り
56549861218415413849803272286632660632047794534177790726928884296712668895312294545058556647154876145811757894176557264650815509181043540461244723236227907451<158>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)
403e62100300Dmitry DomanovMay 12, 2011 06:28:51 UTC 2011 年 5 月 12 日 (木) 15 時 28 分 51 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:01:51 UTC 2014 年 1 月 9 日 (木) 14 時 1 分 51 秒 (日本時間)
1500Dmitry DomanovMarch 7, 2014 09:17:57 UTC 2014 年 3 月 7 日 (金) 18 時 17 分 57 秒 (日本時間)
4511e61000 / 4011Dmitry DomanovApril 17, 2014 10:07:30 UTC 2014 年 4 月 17 日 (木) 19 時 7 分 30 秒 (日本時間)

68×10196-419

c171

composite cofactor 合成数の残り
108099749364910512428194439026584979153816579316257294324318917829030461119049939238630289101693105122175053045129129551356792864451517807234831509681469340434816845157073<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)
403e62100300Dmitry DomanovMay 12, 2011 06:29:00 UTC 2011 年 5 月 12 日 (木) 15 時 29 分 0 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:01:54 UTC 2014 年 1 月 9 日 (木) 14 時 1 分 54 秒 (日本時間)
1500Dmitry DomanovMarch 7, 2014 09:18:08 UTC 2014 年 3 月 7 日 (金) 18 時 18 分 8 秒 (日本時間)
4511e61000 / 4011Dmitry DomanovApril 16, 2014 12:07:48 UTC 2014 年 4 月 16 日 (水) 21 時 7 分 48 秒 (日本時間)

68×10197-419

c172

composite cofactor 合成数の残り
3284846484489983707862678275376372831195253117932741906472483361372882821975371347137802174958478363147501481795315594846709195954649327842245827783439028830320030045582887<172>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)
403e62100300Dmitry DomanovMay 12, 2011 06:29:10 UTC 2011 年 5 月 12 日 (木) 15 時 29 分 10 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:01:56 UTC 2014 年 1 月 9 日 (木) 14 時 1 分 56 秒 (日本時間)
1500Dmitry DomanovMarch 11, 2014 12:02:43 UTC 2014 年 3 月 11 日 (火) 21 時 2 分 43 秒 (日本時間)
4511e61000 / 4011Dmitry DomanovApril 16, 2014 12:10:27 UTC 2014 年 4 月 16 日 (水) 21 時 10 分 27 秒 (日本時間)

68×10198-419

c159

name 名前Dmitry Domanov
date 日付May 12, 2011 04:22:07 UTC 2011 年 5 月 12 日 (木) 13 時 22 分 7 秒 (日本時間)
composite number 合成数
564571216773168964696597932587568783988992450711863755103736390709058571986208139188777094599928599772441627755249171389852481213481219845683105831754019902023<159>
prime factors 素因数
529596425370396988441033685141<30>
composite cofactor 合成数の残り
1066040459729898646608780313942483905057899819951751217393696545239667970228187209014584442702382658002418952937530698300578282603<130>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1286284102
Step 1 took 59956ms
Step 2 took 22769ms
********** Factor found in step 2: 529596425370396988441033685141
Found probable prime factor of 30 digits: 529596425370396988441033685141
Composite cofactor 1066040459729898646608780313942483905057899819951751217393696545239667970228187209014584442702382658002418952937530698300578282603 has 130 digits

c130

name 名前Warut Roonguthai
date 日付June 22, 2011 04:45:38 UTC 2011 年 6 月 22 日 (水) 13 時 45 分 38 秒 (日本時間)
composite number 合成数
1066040459729898646608780313942483905057899819951751217393696545239667970228187209014584442702382658002418952937530698300578282603<130>
prime factors 素因数
1439913428380119698405760397015117601529768771936500891<55>
740350384070782401163360517822531891176046172996896853326997547047224325233<75>
factorization results 素因数分解の結果
N = 1066040459729898646608780313942483905057899819951751217393696545239667970228187209014584442702382658002418952937530698300578282603 (130 digits)
Divisors found:
r1=1439913428380119698405760397015117601529768771936500891 (pp55)
r2=740350384070782401163360517822531891176046172996896853326997547047224325233 (pp75)
Version: Msieve v. 1.47
Total time: 41.64 hours.
Factorization parameters were as follows:
n: 1066040459729898646608780313942483905057899819951751217393696545239667970228187209014584442702382658002418952937530698300578282603
Y0: -10871433427796180353757388
Y1: 91075092280363
c0: 9013106226628640777099882772745
c1: 377611220561377837645916862
c2: 1844771702107197377301
c3: -7599174822657898
c4: 4866174066
c5: 7020
skew: 429494.75 
type: gnfs
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19962250
Relations: 2274738 relations
Pruned matrix : 1303640 x 1303866
Polynomial selection time: 0.00 hours.
Total sieving time: 37.63 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 3.74 hours.
time per square root: 0.12 hours.
Prototype def-par.txt line would be: gnfs,129,5,65,2000,1e-05,0.28,250,20,50000,3600,7200000,7200000,28,28,55,55,2.5,2.5,100000
total time: 41.64 hours.
Intel64 Family 6 Model 37 Stepping 5, GenuineIntel
Windows-7-6.1.7600
processors: 4, speed: 2.53GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)
403e62318300Dmitry DomanovMay 12, 2011 04:21:58 UTC 2011 年 5 月 12 日 (木) 13 時 21 分 58 秒 (日本時間)
2018Wataru SakaiMay 16, 2011 00:34:23 UTC 2011 年 5 月 16 日 (月) 9 時 34 分 23 秒 (日本時間)
4511e64000Wataru SakaiMay 23, 2011 03:47:32 UTC 2011 年 5 月 23 日 (月) 12 時 47 分 32 秒 (日本時間)

68×10199-419

c191

name 名前matsui
date 日付July 31, 2011 01:12:22 UTC 2011 年 7 月 31 日 (日) 10 時 12 分 22 秒 (日本時間)
composite number 合成数
17478740071814775439643094102953317388284330101788221897348016399002110835287262215159147668418688455979274408966812675735691446623033908456570121111629126217256829047095534714748472011196863<191>
prime factors 素因数
123701005416165257581340667266358068329<39>
2273441451127978162803256967762919469139668345553779<52>
62151715485212339004606919833843266999192163360610653176886599646723716130348290256362250998263112893<101>
factorization results 素因数分解の結果
N=17478740071814775439643094102953317388284330101788221897348016399002110835287262215159147668418688455979274408966812675735691446623033908456570121111629126217256829047095534714748472011196863
  ( 191 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=123701005416165257581340667266358068329 (pp39)
 r2=2273441451127978162803256967762919469139668345553779 (pp52)
 r3=62151715485212339004606919833843266999192163360610653176886599646723716130348290256362250998263112893 (pp101)
Version: Msieve v. 1.50
Total time:
Scaled time: 178.00 units (timescale=1.900).
Factorization parameters were as follows:
n: 17478740071814775439643094102953317388284330101788221897348016399002110835287262215159147668418688455979274408966812675735691446623033908456570121111629126217256829047095534714748472011196863
m: 2000000000000000000000000000000000000000
deg: 5
c5: 21250
c0: -41
skew: 0.29
type: snfs
lss: 1
rlim: 15600000
alim: 15600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 15600000/15600000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7800000, 20280001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3520221 x 3520455
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,200.000,5,0,0,0,0,0,0,0,0,15600000,15600000,29,29,56,56,2.6,2.6,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 12, 2011 06:29:24 UTC 2011 年 5 月 12 日 (木) 15 時 29 分 24 秒 (日本時間)

68×10200-419

c152

name 名前Dmitry Domanov
date 日付May 12, 2011 14:21:23 UTC 2011 年 5 月 12 日 (木) 23 時 21 分 23 秒 (日本時間)
composite number 合成数
15638141357170248086447210847858788598283333369253249465712352022100654098734625151212287663597295642048071290585271613083395166471515422729686708187243<152>
prime factors 素因数
14265453138681684540627015030461482219<38>
2283472602259297734538843789464486544825892309<46>
480069105157044439563056089557353508588030044729628804642352387419133<69>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=474305043
Step 1 took 48575ms
Step 2 took 20734ms
********** Factor found in step 2: 14265453138681684540627015030461482219
Found probable prime factor of 38 digits: 14265453138681684540627015030461482219
Composite cofactor 1096224648817248716427995025037122344414053318548151333456144592445084888620013406729047387456381499083602304148097 has 115 digits

N=1096224648817248716427995025037122344414053318548151333456144592445084888620013406729047387456381499083602304148097
  ( 115 digits)
Divisors found:
 r1=2283472602259297734538843789464486544825892309 (pp46)
 r2=480069105157044439563056089557353508588030044729628804642352387419133 (pp69)
Version: Msieve v. 1.48
Total time: 3.19 hours.
Scaled time: 5.08 units (timescale=1.591).
Factorization parameters were as follows:
name: 115
n: 1096224648817248716427995025037122344414053318548151333456144592445084888620013406729047387456381499083602304148097
skew: 25124.99
# norm 2.48e+15
c5: 19500
c4: -4944188362
c3: -93662606223594
c2: 2777544443037069137
c1: 11129110702052198263170
c0: -196075109644482484085265904
# alpha -5.06
Y1: 696795052723
Y0: -8911990445880324134769
# Murphy_E 5.58e-10
# M 473886463499932844424546197941675289614142640492851734509974569834258475049295202522015445666060811648828155065761
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, 3150001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 472493 x 472720
Polynomial selection time: 2.78 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.06 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: 3.19 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 12, 2011 06:29:32 UTC 2011 年 5 月 12 日 (木) 15 時 29 分 32 秒 (日本時間)

68×10201-419

c128

name 名前Cyp
date 日付December 27, 2013 17:19:37 UTC 2013 年 12 月 28 日 (土) 2 時 19 分 37 秒 (日本時間)
composite number 合成数
35476696512044020233452405982692972253140269995251635099328645785156892411736320594248738533630304443143364517686120228483736513<128>
prime factors 素因数
31333326829668934152996910219542468758731519545676172447573<59>
1132235230076233326957714959051447586859287159944334633418004853934781<70>
factorization results 素因数分解の結果
12/26/13 20:24:55 v1.34.3, 
12/26/13 20:24:55 v1.34.3, ****************************
12/26/13 20:24:55 v1.34.3, Starting factorization of 35476696512044020233452405982692972253140269995251635099328645785156892411736320594248738533630304443143364517686120228483736513
12/26/13 20:24:55 v1.34.3, using pretesting plan: normal
12/26/13 20:24:55 v1.34.3, using tune info for qs/gnfs crossover
12/26/13 20:24:55 v1.34.3, input indicated to have been pretested to t40.00
12/26/13 20:24:55 v1.34.3, ****************************
12/26/13 20:24:55 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C128
12/26/13 20:24:55 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C128
12/26/13 20:24:55 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C128
12/26/13 20:24:55 v1.34.3, final ECM pretested depth: 40.58
12/26/13 20:24:55 v1.34.3, scheduler: switching to sieve method
12/26/13 20:24:55 v1.34.3, nfs: commencing nfs on c128: 35476696512044020233452405982692972253140269995251635099328645785156892411736320594248738533630304443143364517686120228483736513
12/26/13 20:24:55 v1.34.3, nfs: commencing poly selection with 8 threads
12/26/13 20:24:55 v1.34.3, nfs: setting deadline of 5294 seconds
12/26/13 21:56:32 v1.34.3, nfs: completed 523 ranges of size 250 in 5497.1531 seconds
12/26/13 21:56:32 v1.34.3, nfs: best poly = # norm 3.546387e-12 alpha -6.371298 e 1.141e-10 rroots 3
12/26/13 21:56:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/13 22:07:06 v1.34.3, nfs: commencing lattice sieving with 8 threads
[56 lines omitted]
12/27/13 08:54:41 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/27/13 09:06:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/27/13 09:19:07 v1.34.3, nfs: commencing msieve filtering
12/27/13 09:24:14 v1.34.3, nfs: commencing msieve linear algebra
12/27/13 10:02:35 v1.34.3, nfs: commencing msieve sqrt
12/27/13 10:09:13 v1.34.3, prp59 = 31333326829668934152996910219542468758731519545676172447573
12/27/13 10:09:13 v1.34.3, prp70 = 1132235230076233326957714959051447586859287159944334633418004853934781
12/27/13 10:09:13 v1.34.3, NFS elapsed time = 49458.3510 seconds.
12/27/13 10:09:13 v1.34.3, 
12/27/13 10:09:13 v1.34.3, 
12/27/13 10:09:13 v1.34.3, Total factoring time = 49458.3975 seconds
software ソフトウェア
yafu 1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:48:02 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 2 秒 (日本時間)
403e6400Serge BatalovNovember 23, 2013 19:48:02 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 2 秒 (日本時間)
4511e6690 / 4359230Ignacio SantosDecember 22, 2013 16:15:56 UTC 2013 年 12 月 23 日 (月) 1 時 15 分 56 秒 (日本時間)
230Ignacio SantosDecember 22, 2013 23:04:40 UTC 2013 年 12 月 23 日 (月) 8 時 4 分 40 秒 (日本時間)
230Ignacio SantosDecember 24, 2013 14:24:18 UTC 2013 年 12 月 24 日 (火) 23 時 24 分 18 秒 (日本時間)

68×10202-419

c152

name 名前Serge Batalov
date 日付November 23, 2013 18:46:28 UTC 2013 年 11 月 24 日 (日) 3 時 46 分 28 秒 (日本時間)
composite number 合成数
11722609100105091083554182106412018857605415430588805394102499743985679317718593987760563681093497015618085384931367307476841880859015414612453836355537<152>
prime factors 素因数
7004512995967814274907459699<28>
composite cofactor 合成数の残り
1673579463247948045077594102058477707585615800114378527860525504154870648390036755102465024714931154714631606873820276955563<124>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2940316843
Step 1 took 3262ms
Step 2 took 2135ms
********** Factor found in step 2: 7004512995967814274907459699
Found probable prime factor of 28 digits: 7004512995967814274907459699
Composite cofactor 

c124

name 名前Ignacio Santos
date 日付December 22, 2013 12:36:42 UTC 2013 年 12 月 22 日 (日) 21 時 36 分 42 秒 (日本時間)
composite number 合成数
1673579463247948045077594102058477707585615800114378527860525504154870648390036755102465024714931154714631606873820276955563<124>
prime factors 素因数
3001929388977100612831104907075347062900869<43>
557501275477440779547897906257615043113367493321651875964611901379939682287650927<81>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1697334459
Step 1 took 24313ms
Step 2 took 16703ms
********** Factor found in step 2: 3001929388977100612831104907075347062900869
Found probable prime factor of 43 digits: 3001929388977100612831104907075347062900869
Probable prime cofactor 557501275477440779547897906257615043113367493321651875964611901379939682287650927 has 81 digits
software ソフトウェア
GMP-ECM 7.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 3, 2013 21:40:11 UTC 2013 年 12 月 4 日 (水) 6 時 40 分 11 秒 (日本時間)
403e6110 / 1332Ignacio SantosDecember 3, 2013 21:40:11 UTC 2013 年 12 月 4 日 (水) 6 時 40 分 11 秒 (日本時間)
4511e6262 / 443732Ignacio SantosDecember 3, 2013 21:40:11 UTC 2013 年 12 月 4 日 (水) 6 時 40 分 11 秒 (日本時間)
230Ignacio SantosDecember 21, 2013 23:34:26 UTC 2013 年 12 月 22 日 (日) 8 時 34 分 26 秒 (日本時間)

68×10204-419

c136

name 名前Ignacio Santos
date 日付December 22, 2013 16:14:43 UTC 2013 年 12 月 23 日 (月) 1 時 14 分 43 秒 (日本時間)
composite number 合成数
2002264774304430587067828381823994244719508989784587218741348545449282424566062119257881658626878509856847749561591970831390882546415179<136>
prime factors 素因数
36671223074643841844329280161852399230903808501<47>
composite cofactor 合成数の残り
54600436157497236072443146417840059923441009555182500075472007656940491721549333444943679<89>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3387271337
Step 1 took 34500ms
Step 2 took 18828ms
********** Factor found in step 2: 36671223074643841844329280161852399230903808501
Found probable prime factor of 47 digits: 36671223074643841844329280161852399230903808501
Composite cofactor 54600436157497236072443146417840059923441009555182500075472007656940491721549333444943679 has 89 digits
software ソフトウェア
GMP-ECM 7.0

c89

name 名前KTakahashi
date 日付December 23, 2013 21:21:11 UTC 2013 年 12 月 24 日 (火) 6 時 21 分 11 秒 (日本時間)
composite number 合成数
54600436157497236072443146417840059923441009555182500075472007656940491721549333444943679<89>
prime factors 素因数
621131696311465095256316207378987228821<39>
87904765578277573341098303856678981344007829722499<50>
factorization results 素因数分解の結果
Msieve v. 1.51 (SVN Official Release)
Mon Dec 23 18:14:21 2013
random seeds: bd438f14 a5d00b78
factoring 54600436157497236072443146417840059923441009555182500075472007656940491721549333444943679 (89 digits)
searching for 15-digit factors
commencing quadratic sieve (89-digit input)
using multiplier of 1
using VC8 64kb sieve core
sieve interval: 16 blocks of size 65536
processing polynomials in batches of 7
using a sieve bound of 1556189 (58956 primes)
using large prime bound of 124495120 (26 bits)
using double large prime bound of 372626841652480 (42-49 bits)
using trial factoring cutoff of 49 bits
polynomial 'A' values have 11 factors
59248 relations (15655 full + 43593 combined from 629721 partial), need 59052
begin with 645376 relations
reduce to 145537 relations in 11 passes
attempting to read 145537 relations
recovered 145537 relations
recovered 123341 polynomials
attempting to build 59248 cycles
found 59248 cycles in 5 passes
distribution of cycle lengths:
   length 1 : 15655
   length 2 : 11391
   length 3 : 10281
   length 4 : 8052
   length 5 : 5519
   length 6 : 3676
   length 7 : 2099
   length 9+: 2575
largest cycle: 18 relations
matrix is 58956 x 59248 (15.5 MB) with weight 3595829 (60.69/col)
sparse part has weight 3595829 (60.69/col)
filtering completed in 3 passes
matrix is 55076 x 55140 (14.5 MB) with weight 3369675 (61.11/col)
sparse part has weight 3369675 (61.11/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 55028 x 55140 (10.6 MB) with weight 2762478 (50.10/col)
sparse part has weight 2232106 (40.48/col)
using block size 22011 for processor cache size 1024 kB
commencing Lanczos iteration
memory use: 6.3 MB
lanczos halted after 871 iterations (dim = 55028)
recovered 18 nontrivial dependencies
prp39 factor: 621131696311465095256316207378987228821
prp50 factor: 87904765578277573341098303856678981344007829722499
elapsed time 00:56:36

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:48:03 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 3 秒 (日本時間)
403e6400 / 2155Serge BatalovNovember 23, 2013 19:48:03 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 3 秒 (日本時間)

68×10206-419

c201

name 名前Serge Batalov
date 日付November 23, 2013 18:32:58 UTC 2013 年 11 月 24 日 (日) 3 時 32 分 58 秒 (日本時間)
composite number 合成数
183328667888336557356678837263805612515503067479535196044263412776924355868659352230259297102250459150692741071738853273251136846681668882921540749123533946928992735952016201509264042430018257648114803<201>
prime factors 素因数
767845960835744862507135544704961<33>
238757090925889022360966848981730435244888422591519168683043679756595376650113898885242418862100852715915461683287365055213295492287590458690825949921280978661500348723<168>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=1650170804
Step 1 took 12365ms
Step 2 took 7176ms
********** Factor found in step 2: 767845960835744862507135544704961
Found probable prime factor of 33 digits: 767845960835744862507135544704961
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)

68×10207-419

c193

composite cofactor 合成数の残り
3728702532825751011628410058613895753229582469866254320630966098159573926904679357833843734664586510911562277551860554005067699953412166489368518815889831185010939222491216212563902189945727419<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:48:05 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 5 秒 (日本時間)
403e62200400Serge BatalovNovember 23, 2013 19:48:05 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 5 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:01:57 UTC 2014 年 1 月 9 日 (木) 14 時 1 分 57 秒 (日本時間)
1500Dmitry DomanovMarch 11, 2014 12:02:29 UTC 2014 年 3 月 11 日 (火) 21 時 2 分 29 秒 (日本時間)
4511e61000 / 3961Dmitry DomanovApril 16, 2014 12:10:56 UTC 2014 年 4 月 16 日 (水) 21 時 10 分 56 秒 (日本時間)

68×10209-419

c177

name 名前Serge Batalov
date 日付November 23, 2013 18:45:37 UTC 2013 年 11 月 24 日 (日) 3 時 45 分 37 秒 (日本時間)
composite number 合成数
494322241524116602864500042037307365154706014165892529552070363405044216379643974432902296733139678073232883887931891348963797562110737694840091769666813838883682628256815047697<177>
prime factors 素因数
1173125130034750997982129789266251213419551<43>
composite cofactor 合成数の残り
421372135732420548033044843136486448100469121262146358615578759163959451367601612046396280515735018478033618396586653744892747318288847<135>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=475726841
Step 1 took 4967ms
Step 2 took 2634ms
********** Factor found in step 2: 1173125130034750997982129789266251213419551
Found probable prime factor of 43 digits: 1173125130034750997982129789266251213419551
Composite cofactor 

c135

name 名前Dmitry Domanov
date 日付April 17, 2014 05:02:06 UTC 2014 年 4 月 17 日 (木) 14 時 2 分 6 秒 (日本時間)
composite number 合成数
421372135732420548033044843136486448100469121262146358615578759163959451367601612046396280515735018478033618396586653744892747318288847<135>
prime factors 素因数
6643469351015657625128776983233423064679<40>
63426519107520368144110683765019521795177228650130219059173172885042610384050029326324306530393<95>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=532486084
Step 1 took 50711ms
Step 2 took 24791ms
********** Factor found in step 2: 6643469351015657625128776983233423064679
Found probable prime factor of 40 digits: 6643469351015657625128776983233423064679

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 4, 2013 13:56:39 UTC 2013 年 12 月 4 日 (水) 22 時 56 分 39 秒 (日本時間)
403e6320110Ignacio SantosDecember 4, 2013 13:56:39 UTC 2013 年 12 月 4 日 (水) 22 時 56 分 39 秒 (日本時間)
210Serge BatalovDecember 4, 2013 17:31:28 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 28 秒 (日本時間)
4511e61462 / 439032Ignacio SantosDecember 4, 2013 13:56:39 UTC 2013 年 12 月 4 日 (水) 22 時 56 分 39 秒 (日本時間)
60Serge BatalovDecember 4, 2013 17:31:28 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 28 秒 (日本時間)
230Ignacio SantosDecember 22, 2013 16:15:00 UTC 2013 年 12 月 23 日 (月) 1 時 15 分 0 秒 (日本時間)
240Ignacio SantosDecember 24, 2013 14:25:24 UTC 2013 年 12 月 24 日 (火) 23 時 25 分 24 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:22:52 UTC 2014 年 1 月 6 日 (月) 11 時 22 分 52 秒 (日本時間)
500Dmitry DomanovApril 16, 2014 12:11:16 UTC 2014 年 4 月 16 日 (水) 21 時 11 分 16 秒 (日本時間)

68×10210-419

c182

composite cofactor 合成数の残り
41886036648477434299157709089312082113270026796194178324328505264732405767167825995835978842146282596239787445821429446481048778297346766969676171987625699280713084606528943378230877<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:48:06 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 6 秒 (日本時間)
403e62200400Serge BatalovNovember 23, 2013 19:48:06 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 6 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:01:58 UTC 2014 年 1 月 9 日 (木) 14 時 1 分 58 秒 (日本時間)
1500Dmitry DomanovMarch 11, 2014 12:02:10 UTC 2014 年 3 月 11 日 (火) 21 時 2 分 10 秒 (日本時間)
4511e61000 / 3877Dmitry DomanovApril 16, 2014 12:11:41 UTC 2014 年 4 月 16 日 (水) 21 時 11 分 41 秒 (日本時間)
5043e624 / 7242CypJanuary 26, 2014 01:31:12 UTC 2014 年 1 月 26 日 (日) 10 時 31 分 12 秒 (日本時間)

68×10212-419

c201

composite cofactor 合成数の残り
718863825033262291416371424321169997895667739845533729993978933055618371250621162877789317014772678745031538951037000740283114081305541134482461351877899801380225200975456997980189450460155776686005809<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:48:07 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 7 秒 (日本時間)
403e6700400Serge BatalovNovember 23, 2013 19:48:07 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 7 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:01:59 UTC 2014 年 1 月 9 日 (木) 14 時 1 分 59 秒 (日本時間)
4511e61432 / 4293432CypJanuary 10, 2014 04:25:28 UTC 2014 年 1 月 10 日 (金) 13 時 25 分 28 秒 (日本時間)
1000Dmitry DomanovApril 17, 2014 11:01:21 UTC 2014 年 4 月 17 日 (木) 20 時 1 分 21 秒 (日本時間)

68×10213-419

c175

composite cofactor 合成数の残り
1202599043561833292773805863721682231960142150456141255129132051868622526706181438348297181769141188746432150667646863755468386426802291269961292423109345699961282940796325557<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:48:08 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 8 秒 (日本時間)
403e6700400Serge BatalovNovember 23, 2013 19:48:08 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 8 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:01:59 UTC 2014 年 1 月 9 日 (木) 14 時 1 分 59 秒 (日本時間)
4511e61422 / 4293422CypMarch 8, 2014 20:21:08 UTC 2014 年 3 月 9 日 (日) 5 時 21 分 8 秒 (日本時間)
1000Dmitry DomanovApril 17, 2014 11:01:40 UTC 2014 年 4 月 17 日 (木) 20 時 1 分 40 秒 (日本時間)

68×10214-419

c192

name 名前Serge Batalov
date 日付November 23, 2013 19:00:55 UTC 2013 年 11 月 24 日 (日) 4 時 0 分 55 秒 (日本時間)
composite number 合成数
575061656537849468062115791850830600085275622248710251897782142565530185485725330823849124903089554097247954714347274296601356593964223704924923814498384357642509286565069466604056644806621437<192>
prime factors 素因数
11248353260203809161412415172507344409<38>
composite cofactor 合成数の残り
51124075074383813688406534802404998598850471757917015723462272234700906138833992061634890985652825189170721115545105005592959935551110454175396725982594693<155>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1421616542
Step 1 took 13785ms
Step 2 took 9901ms
********** Factor found in step 2: 11248353260203809161412415172507344409
Found probable prime factor of 38 digits: 11248353260203809161412415172507344409
Composite cofactor

c155

name 名前Serge Batalov
date 日付January 9, 2014 05:48:04 UTC 2014 年 1 月 9 日 (木) 14 時 48 分 4 秒 (日本時間)
composite number 合成数
51124075074383813688406534802404998598850471757917015723462272234700906138833992061634890985652825189170721115545105005592959935551110454175396725982594693<155>
prime factors 素因数
75562146525108640517873510548804907072953<41>
composite cofactor 合成数の残り
676583149439722845997682733694678536757720880696163086001158829032875288732991489780811900368743784059059033953581<114>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3051718202
Step 1 took 11707ms
Step 2 took 4469ms
********** Factor found in step 2: 75562146525108640517873510548804907072953
Found probable prime factor of 41 digits: 75562146525108640517873510548804907072953
Composite cofactor 

c114

name 名前Dmitry Domanov
date 日付January 10, 2014 05:46:22 UTC 2014 年 1 月 10 日 (金) 14 時 46 分 22 秒 (日本時間)
composite number 合成数
676583149439722845997682733694678536757720880696163086001158829032875288732991489780811900368743784059059033953581<114>
prime factors 素因数
816190879691133302806976874539784566067511<42>
828952107006829757053986836692594667773537906879129058861196725275037371<72>
factorization results 素因数分解の結果
N=676583149439722845997682733694678536757720880696163086001158829032875288732991489780811900368743784059059033953581
  ( 114 digits)
Divisors found:
 r1=816190879691133302806976874539784566067511 (pp42)
 r2=828952107006829757053986836692594667773537906879129058861196725275037371 (pp72)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 30.64 hours.
Scaled time: 52.40 units (timescale=1.710).
Factorization parameters were as follows:
n: 676583149439722845997682733694678536757720880696163086001158829032875288732991489780811900368743784059059033953581
skew: 42477.63
c0: 700313378444675711544772215
c1: -26581371359392811462454
c2: -3762145595073021000
c3: 28034869374083
c4: 1169375866
c5: 11160
Y0: -9047539754560119739456
Y1: 891190066283
rlim: 4240000
alim: 4240000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
type: gnfs
Factor base limits: 4240000/4240000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2120000, 3320001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 380306 x 380540
Total sieving time: 30.04 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 0.22 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4240000,4240000,27,27,54,54,2.5,2.5,100000
total time: 30.64 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
403e6590 / 2318290CypJanuary 4, 2014 21:25:05 UTC 2014 年 1 月 5 日 (日) 6 時 25 分 5 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:00 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 0 秒 (日本時間)

68×10215-419

c190

composite cofactor 合成数の残り
5624015279245686338208073629230406062446071366417770470383190155843634917441191405881247329687484827871230130055644263431738966495663741723007976963876035633774608900887111056876870066054399<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:48:09 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 9 秒 (日本時間)
403e62200400Serge BatalovNovember 23, 2013 19:48:09 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 9 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:01 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 1 秒 (日本時間)
1500Dmitry DomanovMarch 11, 2014 12:01:36 UTC 2014 年 3 月 11 日 (火) 21 時 1 分 36 秒 (日本時間)
4511e61000 / 3961Dmitry DomanovApril 17, 2014 11:01:56 UTC 2014 年 4 月 17 日 (木) 20 時 1 分 56 秒 (日本時間)

68×10217-419

c156

name 名前Serge Batalov
date 日付November 23, 2013 18:43:01 UTC 2013 年 11 月 24 日 (日) 3 時 43 分 1 秒 (日本時間)
composite number 合成数
985309395513725857956329413910479649231849442283707268811136701939821260298665933923295137157192959619232473822497275449253596235753273638536179929971111627<156>
prime factors 素因数
2054263948238166175335478739<28>
479641088166286397026336671778836127958375103265079390935280342172013940170170528613556243708592777948878188812401444659963185193<129>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4197902292
Step 1 took 3654ms
Step 2 took 1984ms
********** Factor found in step 2: 2054263948238166175335478739
Found probable prime factor of 28 digits: 2054263948238166175335478739
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)

68×10218-419

c198

composite cofactor 合成数の残り
337100215785795947376858442457262048497548746816134773389112855604398968633050690214100910131774428770601819389765512670584148963496100990416512462377472554886681743692826893793734740174929350733271<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:48:10 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 10 秒 (日本時間)
403e62200400Serge BatalovNovember 23, 2013 19:48:10 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 10 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:05 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 5 秒 (日本時間)
1500Dmitry DomanovMarch 11, 2014 12:01:19 UTC 2014 年 3 月 11 日 (火) 21 時 1 分 19 秒 (日本時間)
4511e61000 / 3961Dmitry DomanovApril 17, 2014 11:02:16 UTC 2014 年 4 月 17 日 (木) 20 時 2 分 16 秒 (日本時間)

68×10219-419

c201

name 名前Serge Batalov
date 日付November 23, 2013 18:44:18 UTC 2013 年 11 月 24 日 (日) 3 時 44 分 18 秒 (日本時間)
composite number 合成数
360515952168071796039634771296689808659656880531809278613450072216146972540184689389600329085927020237740675697040380445611098013983701368882211106811484924757915131272077208095669101706915111091982539<201>
prime factors 素因数
477268847150914832518671686327<30>
composite cofactor 合成数の残り
755372897938328712366445766634639592262622740455482188317849993765260960858750221977486673976027585487181632002811263650557028120911718005452242871474164701145034472879757<171>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=872832436
Step 1 took 5553ms
Step 2 took 2519ms
********** Factor found in step 2: 477268847150914832518671686327
Found probable prime factor of 30 digits: 477268847150914832518671686327
Composite cofactor 

c171

name 名前Dmitry Domanov
date 日付March 12, 2014 05:52:49 UTC 2014 年 3 月 12 日 (水) 14 時 52 分 49 秒 (日本時間)
composite number 合成数
755372897938328712366445766634639592262622740455482188317849993765260960858750221977486673976027585487181632002811263650557028120911718005452242871474164701145034472879757<171>
prime factors 素因数
68888594743799231525639140472524177067<38>
10965137273413767667084964740080609566449774680193732090202728354874439353059901490384102045729433931257972122039967595310181900124071<134>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=548925951
Step 1 took 19411ms
Step 2 took 8215ms
********** Factor found in step 2: 68888594743799231525639140472524177067
Found probable prime factor of 38 digits: 68888594743799231525639140472524177067

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
403e62090 / 2318290CypJanuary 1, 2014 16:51:51 UTC 2014 年 1 月 2 日 (木) 1 時 51 分 51 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:05 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 5 秒 (日本時間)
1500Dmitry DomanovMarch 11, 2014 12:01:08 UTC 2014 年 3 月 11 日 (火) 21 時 1 分 8 秒 (日本時間)

68×10220-419

c182

composite cofactor 合成数の残り
48464274480884327466348122348641919527333768829866829216512735514871476730560209360399661980520273377259122632710461089283591542082833060697951822614222317036987030662337833283765483<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:48:12 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 12 秒 (日本時間)
403e62200400Serge BatalovNovember 23, 2013 19:48:12 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 12 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:06 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 6 秒 (日本時間)
1500Dmitry DomanovMarch 11, 2014 12:00:57 UTC 2014 年 3 月 11 日 (火) 21 時 0 分 57 秒 (日本時間)
4511e61000 / 3877Dmitry DomanovApril 17, 2014 11:02:33 UTC 2014 年 4 月 17 日 (木) 20 時 2 分 33 秒 (日本時間)
5043e624 / 7242CypJanuary 11, 2014 05:05:35 UTC 2014 年 1 月 11 日 (土) 14 時 5 分 35 秒 (日本時間)

68×10221-419

c188

name 名前Serge Batalov
date 日付November 23, 2013 18:58:55 UTC 2013 年 11 月 24 日 (日) 3 時 58 分 55 秒 (日本時間)
composite number 合成数
49087444209743320751202400668586374237931693731735131431763715911356121470349187011952999638395595239587610558801321219489608789251795315254293778631701310626075395191455024470360759946229<188>
prime factors 素因数
307211446920408649634224706467316651<36>
159783903568087869469594781563300659266901553025801590526964904292492353188783148391793953849723404409105701153882524235315724177438937860150164607110879<153>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1196708976
Step 1 took 13725ms
Step 2 took 9919ms
********** Factor found in step 2: 307211446920408649634224706467316651
Found probable prime factor of 36 digits: 307211446920408649634224706467316651
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)

68×10222-419

c157

composite cofactor 合成数の残り
6665796358464808305465019806331583762983994406272892279306069222980674991921919474546576442974178157089349013805444046874145263724512127776337954813159232419<157>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:48:13 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 13 秒 (日本時間)
403e62200400Serge BatalovNovember 23, 2013 19:48:13 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 13 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:10 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 10 秒 (日本時間)
1500Dmitry DomanovMarch 11, 2014 12:00:44 UTC 2014 年 3 月 11 日 (火) 21 時 0 分 44 秒 (日本時間)
4511e61000 / 3961Dmitry DomanovApril 21, 2014 12:55:24 UTC 2014 年 4 月 21 日 (月) 21 時 55 分 24 秒 (日本時間)

68×10223-419

c211

composite cofactor 合成数の残り
3534490203773188859592975895952579291827110823293424721392370619502088410382154714829145534662787465007866959919590346249521663885284228743605244171654947574230902076750839798495122131263709941883202888589572101<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:48:14 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 14 秒 (日本時間)
403e62200400Serge BatalovNovember 23, 2013 19:48:14 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 14 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:10 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 10 秒 (日本時間)
1500Dmitry DomanovMarch 11, 2014 12:00:33 UTC 2014 年 3 月 11 日 (火) 21 時 0 分 33 秒 (日本時間)
4511e61000 / 3961Dmitry DomanovApril 21, 2014 12:55:45 UTC 2014 年 4 月 21 日 (月) 21 時 55 分 45 秒 (日本時間)

68×10227-419

c219

composite cofactor 合成数の残り
341576694572908463035204516682215034364564721627665162651586306358752068017639956628815590196155185369612656398024418993698548582853089648954971748833806292404939225867526647197760532491721229639352837958443850968902083<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:48:15 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 15 秒 (日本時間)
403e62200400Serge BatalovNovember 23, 2013 19:48:15 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 15 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:11 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 11 秒 (日本時間)
1500Dmitry DomanovMarch 11, 2014 12:00:21 UTC 2014 年 3 月 11 日 (火) 21 時 0 分 21 秒 (日本時間)
4511e61000 / 3877Dmitry DomanovApril 21, 2014 12:55:57 UTC 2014 年 4 月 21 日 (月) 21 時 55 分 57 秒 (日本時間)
5043e624 / 7242CypJanuary 27, 2014 00:07:45 UTC 2014 年 1 月 27 日 (月) 9 時 7 分 45 秒 (日本時間)

68×10228-419

c227

composite cofactor 合成数の残り
14228918183720443607449257166771291065076375810839087675245867336262816488805189370161121573550952082025528353211969031178070726093324963381460556601799539652646997279765641347562251517053776940782590500104624398409709144172421<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:48:16 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 16 秒 (日本時間)
403e6400Serge BatalovNovember 23, 2013 19:48:16 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 16 秒 (日本時間)
4511e62200500Serge BatalovJanuary 4, 2014 22:39:37 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 37 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:36 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 36 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:54 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 54 秒 (日本時間)
5043e6616 / 7040500Serge BatalovJanuary 4, 2014 23:01:34 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 34 秒 (日本時間)
116KTakahashiOctober 2, 2014 22:24:40 UTC 2014 年 10 月 3 日 (金) 7 時 24 分 40 秒 (日本時間)

68×10231-419

c219

composite cofactor 合成数の残り
144766723276856952148792478033803325260572870826966695697109975783167410810140377114268979386363491561066726850580581107317807890004407554627903381072007744887857210715942040427354243718254386802751951853838438569400349<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:48:16 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 16 秒 (日本時間)
403e62200400Serge BatalovNovember 23, 2013 19:48:16 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 16 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:12 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 12 秒 (日本時間)
1500Dmitry DomanovMarch 11, 2014 12:00:03 UTC 2014 年 3 月 11 日 (火) 21 時 0 分 3 秒 (日本時間)
4511e61000 / 3877Dmitry DomanovApril 21, 2014 12:56:14 UTC 2014 年 4 月 21 日 (月) 21 時 56 分 14 秒 (日本時間)
5043e624 / 7242CypJanuary 26, 2014 02:51:02 UTC 2014 年 1 月 26 日 (日) 11 時 51 分 2 秒 (日本時間)

68×10232-419

c176

composite cofactor 合成数の残り
12134034330440366123443547012233319538092501761396467368106912889888121661395544320002439074666367938451759485276338350601979701799650011517667067686205839771897286181413168671<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:48:17 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 17 秒 (日本時間)
403e62200400Serge BatalovNovember 23, 2013 19:48:17 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 17 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:13 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 13 秒 (日本時間)
1500Dmitry DomanovMarch 11, 2014 11:59:52 UTC 2014 年 3 月 11 日 (火) 20 時 59 分 52 秒 (日本時間)
4511e61000 / 3961Dmitry DomanovApril 21, 2014 12:56:26 UTC 2014 年 4 月 21 日 (月) 21 時 56 分 26 秒 (日本時間)

68×10233-419

c183

composite cofactor 合成数の残り
158100988821157285031347760368416194382823327966868980475792699385625272937416107287035830089698935325379381620417000484699285250844372893603149960478904448759473501236503277337279209<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:48:18 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 18 秒 (日本時間)
403e62200400Serge BatalovNovember 23, 2013 19:48:18 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 18 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:13 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 13 秒 (日本時間)
1500Dmitry DomanovMarch 11, 2014 11:59:42 UTC 2014 年 3 月 11 日 (火) 20 時 59 分 42 秒 (日本時間)
4511e61000 / 3877Dmitry DomanovApril 21, 2014 12:56:41 UTC 2014 年 4 月 21 日 (月) 21 時 56 分 41 秒 (日本時間)
5043e624 / 7242CypJanuary 12, 2014 02:03:26 UTC 2014 年 1 月 12 日 (日) 11 時 3 分 26 秒 (日本時間)

68×10234-419

c177

name 名前Serge Batalov
date 日付November 23, 2013 18:41:43 UTC 2013 年 11 月 24 日 (日) 3 時 41 分 43 秒 (日本時間)
composite number 合成数
432460009387280910554701093520794556935487510826977488048894755322555632410708208991344681662169309205545312490679229913030971355650583803669096373794178697150790716003138450681<177>
prime factors 素因数
6720542855270605549234001334850358373373<40>
64348969822895017047418918635630147824901035454539009274468145992702889329652460301348217765106612140204714935357657845772768964436039597<137>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3852109626
Step 1 took 13818ms
Step 2 took 9623ms
********** Factor found in step 2: 6720542855270605549234001334850358373373
Found probable prime factor of 40 digits: 6720542855270605549234001334850358373373
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)

68×10236-419

c212

composite cofactor 合成数の残り
99113712186349381481202977773117179953504665373930231100124237652759807860626054254099014881629665094183971422535035043101012999545737052661002515783233270845774213619089817541537063822048607431082594217600340843<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:48:19 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 19 秒 (日本時間)
403e6700400Serge BatalovNovember 23, 2013 19:48:19 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 19 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:15 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 15 秒 (日本時間)
4511e61000 / 3682Dmitry DomanovApril 21, 2014 12:56:59 UTC 2014 年 4 月 21 日 (月) 21 時 56 分 59 秒 (日本時間)
5043e6174 / 7298CypFebruary 13, 2014 07:06:40 UTC 2014 年 2 月 13 日 (木) 16 時 6 分 40 秒 (日本時間)

68×10237-419

c218

composite cofactor 合成数の残り
46099598581903558410682949504230859759759899836409559081770520900801537870668813716210898060769954559992918686936340458647213558805075849576744895331087756593286982312494250344417687826662875214369869393864103654173807<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:48:20 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 20 秒 (日本時間)
403e62200400Serge BatalovNovember 23, 2013 19:48:20 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 20 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:16 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 16 秒 (日本時間)
1500Dmitry DomanovMarch 11, 2014 11:59:23 UTC 2014 年 3 月 11 日 (火) 20 時 59 分 23 秒 (日本時間)
4511e61000 / 3961Dmitry DomanovApril 21, 2014 12:57:13 UTC 2014 年 4 月 21 日 (月) 21 時 57 分 13 秒 (日本時間)

68×10240-419

c219

composite cofactor 合成数の残り
202862784881063355046284029412540840370454974355088556070372841449885782529414150321037465729634176918448655244195174063842959955643939949768514042063047592408274634707846364899626031680566179190857352427765998403154559<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:48:21 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 21 秒 (日本時間)
403e62200400Serge BatalovNovember 23, 2013 19:48:21 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 21 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:16 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 16 秒 (日本時間)
1500Dmitry DomanovMarch 11, 2014 11:59:10 UTC 2014 年 3 月 11 日 (火) 20 時 59 分 10 秒 (日本時間)
4511e61000 / 3961Dmitry DomanovApril 23, 2014 06:59:12 UTC 2014 年 4 月 23 日 (水) 15 時 59 分 12 秒 (日本時間)

68×10241-419

c228

composite cofactor 合成数の残り
793564641342033479577657221397944836160099695767657896249658697615592792033676482258996882833405117268832172182527735703435666455092630308159490216249963636517021948267834241197620556225112568348131025616764884385908772325583667<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:48:22 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 22 秒 (日本時間)
403e6700400Serge BatalovNovember 23, 2013 19:48:22 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 22 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:17 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 17 秒 (日本時間)
4511e61000 / 3682Dmitry DomanovApril 23, 2014 06:59:27 UTC 2014 年 4 月 23 日 (水) 15 時 59 分 27 秒 (日本時間)
5043e6174 / 729824CypJanuary 12, 2014 20:33:27 UTC 2014 年 1 月 13 日 (月) 5 時 33 分 27 秒 (日本時間)
150CypFebruary 5, 2014 23:50:01 UTC 2014 年 2 月 6 日 (木) 8 時 50 分 1 秒 (日本時間)

68×10242-419

c175

composite cofactor 合成数の残り
3741399764555435253143093776825896479857792515491836700794604091943840874735021282426080575832365967911040982003335248429182935502990564855438544717669631307866152297423201973<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:48:23 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 23 秒 (日本時間)
403e62200400Serge BatalovNovember 23, 2013 19:48:23 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 23 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:18 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 18 秒 (日本時間)
1500Dmitry DomanovMarch 11, 2014 11:58:54 UTC 2014 年 3 月 11 日 (火) 20 時 58 分 54 秒 (日本時間)
4511e61000 / 3961Dmitry DomanovApril 23, 2014 06:59:45 UTC 2014 年 4 月 23 日 (水) 15 時 59 分 45 秒 (日本時間)

68×10245-419

c198

composite cofactor 合成数の残り
202280132949023917229667356146434415497927450050819198780886954720752663974168150187435064447374233912926844004080397603139302125728301173644696717955128871745504108185332190497576074293817803896641<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:48:24 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 24 秒 (日本時間)
403e6700400Serge BatalovNovember 23, 2013 19:48:24 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 24 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:19 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 19 秒 (日本時間)
4511e61422 / 4293422CypFebruary 15, 2014 07:39:06 UTC 2014 年 2 月 15 日 (土) 16 時 39 分 6 秒 (日本時間)
1000Dmitry DomanovApril 23, 2014 07:00:03 UTC 2014 年 4 月 23 日 (水) 16 時 0 分 3 秒 (日本時間)

68×10246-419

c218

name 名前Dmitry Domanov
date 日付April 23, 2014 13:28:16 UTC 2014 年 4 月 23 日 (水) 22 時 28 分 16 秒 (日本時間)
composite number 合成数
14125290861648401847565850538650018914309485063417350768783207498318157897099663546645204838030000900995312036877963105291905021969905422391989737932361291633107093776782518489742226576906836345468050317466578109236093<218>
prime factors 素因数
77036040230309659404076719121736179390391<41>
183359513539622944478429791515744036683608609739232989216166726889002025221044387104617639132728539288309437244679195393834321338168281353657339284436301128295201737432574998123<177>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=408392324
Step 1 took 111783ms
Step 2 took 36156ms
********** Factor found in step 2: 77036040230309659404076719121736179390391
Found probable prime factor of 41 digits: 77036040230309659404076719121736179390391

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:48:25 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 25 秒 (日本時間)
403e62200400Serge BatalovNovember 23, 2013 19:48:25 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 25 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:20 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 20 秒 (日本時間)
1500Dmitry DomanovMarch 11, 2014 11:58:30 UTC 2014 年 3 月 11 日 (火) 20 時 58 分 30 秒 (日本時間)
4511e61000 / 3961Dmitry DomanovApril 23, 2014 07:00:18 UTC 2014 年 4 月 23 日 (水) 16 時 0 分 18 秒 (日本時間)

68×10248-419

c188

name 名前Serge Batalov
date 日付November 23, 2013 18:38:44 UTC 2013 年 11 月 24 日 (日) 3 時 38 分 44 秒 (日本時間)
composite number 合成数
22497612465185703042474809848808959474987134759275286974313774803626107499849001042512863796680923757859729369455791058324417710476386930777798116938903802766948554733214469496174564983671<188>
prime factors 素因数
2257231649795346502464146840929057481971<40>
9966904578546674606516568775440726603282362556323994162827929343592261470001409775793917189653045211298426815600331151299946688225373680265353582701<148>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=993968565
Step 1 took 5038ms
Step 2 took 2745ms
********** Factor found in step 2: 2257231649795346502464146840929057481971
Found probable prime factor of 40 digits: 2257231649795346502464146840929057481971
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)

68×10249-419

c250

name 名前Serge Batalov
date 日付January 4, 2014 01:48:23 UTC 2014 年 1 月 4 日 (土) 10 時 48 分 23 秒 (日本時間)
composite number 合成数
2518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518517<250>
prime factors 素因数
11948387865889619180229280249390182064120894381<47>
composite cofactor 合成数の残り
210783123780942125344568388612005469485593657203770937850496160799600399911386165499332346344900547781092285437456777079525744955209260307187463443368649595337335198846731647002759368131389619486804714857<204>
factorization results 素因数分解の結果
Using B1=110000000, B2=1589211473866, polynomial Dickson(30), sigma=1437718817
Step 1 took 880844ms
Step 2 took 316418ms
********** Factor found in step 2: 11948387865889619180229280249390182064120894381
Found probable prime factor of 47 digits: 11948387865889619180229280249390182064120894381
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:48:27 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 27 秒 (日本時間)
403e6400Serge BatalovNovember 23, 2013 19:48:27 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 27 秒 (日本時間)
4511e61200Serge BatalovNovember 23, 2013 20:00:45 UTC 2013 年 11 月 24 日 (日) 5 時 0 分 45 秒 (日本時間)
5043e62775 / 4854775Serge BatalovNovember 25, 2013 02:18:16 UTC 2013 年 11 月 25 日 (月) 11 時 18 分 16 秒 (日本時間)
2000Serge BatalovJanuary 4, 2014 19:46:18 UTC 2014 年 1 月 5 日 (日) 4 時 46 分 18 秒 (日本時間)
5511e71000 / 16700480Serge BatalovJanuary 4, 2014 00:25:32 UTC 2014 年 1 月 4 日 (土) 9 時 25 分 32 秒 (日本時間)
520Serge BatalovJanuary 4, 2014 19:46:18 UTC 2014 年 1 月 5 日 (日) 4 時 46 分 18 秒 (日本時間)

68×10250-419

c189

composite cofactor 合成数の残り
363918838287092959204017145460849015424316820590011064066487469523963390984180917872096669999528106596308663305666395672710524390379496551139727329590807368142161568563050899903265217352547<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:48:28 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 28 秒 (日本時間)
403e6700400Serge BatalovNovember 23, 2013 19:48:28 UTC 2013 年 11 月 24 日 (日) 4 時 48 分 28 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:21 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 21 秒 (日本時間)
4511e61500Dmitry DomanovFebruary 28, 2014 19:24:41 UTC 2014 年 3 月 1 日 (土) 4 時 24 分 41 秒 (日本時間)
5043e6800 / 7186400Dmitry DomanovMarch 7, 2014 08:50:51 UTC 2014 年 3 月 7 日 (金) 17 時 50 分 51 秒 (日本時間)
400Dmitry DomanovMarch 11, 2014 11:50:12 UTC 2014 年 3 月 11 日 (火) 20 時 50 分 12 秒 (日本時間)