Table of contents 目次

25×10111+173

c104

name 名前Dmitry Domanov
date 日付January 8, 2010 11:54:58 UTC 2010 年 1 月 8 日 (金) 20 時 54 分 58 秒 (日本時間)
composite number 合成数
11679302758930353560865875083795902280094170255519024269338392945571446628231286591071594710344553124203<104>
prime factors 素因数
287999566900416973261685196973<30>
40553195564244593183934035818608314407464292296490417418519532279470427511<74>
factorization results 素因数分解の結果
N=11679302758930353560865875083795902280094170255519024269338392945571446628231286591071594710344553124203
  ( 104 digits)
SNFS difficulty: 112 digits.
Divisors found:
 r1=287999566900416973261685196973 (pp30)
 r2=40553195564244593183934035818608314407464292296490417418519532279470427511 (pp74)
Version: Msieve-1.40
Total time: 1.45 hours.
Scaled time: 1.36 units (timescale=0.934).
Factorization parameters were as follows:
n: 11679302758930353560865875083795902280094170255519024269338392945571446628231286591071594710344553124203
m: 10000000000000000000000
deg: 5
c5: 250
c0: 17
skew: 0.58
type: snfs
lss: 1
rlim: 520000
alim: 520000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 520000/520000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [260000, 510001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 47865 x 48105
Total sieving time: 1.42 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,112.000,5,0,0,0,0,0,0,0,0,520000,520000,25,25,45,45,2.2,2.2,50000
total time: 1.45 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)

25×10112+173

c97

name 名前Serge Batalov
date 日付January 6, 2010 22:40:35 UTC 2010 年 1 月 7 日 (木) 7 時 40 分 35 秒 (日本時間)
composite number 合成数
9755020980362865378869469608835125092112800232334743266978586232089238157041045210854879766710131<97>
prime factors 素因数
27621329555086730669088277161451<32>
353169855958884696090450200280202615431147174957684234376299862681<66>
factorization results 素因数分解の結果
SNFS difficulty: 113 digits.
Divisors found:
 r1=27621329555086730669088277161451 (pp32)
 r2=353169855958884696090450200280202615431147174957684234376299862681 (pp66)
Version: Msieve v. 1.44 SVN157
Total time: 0.40 hours.
Scaled time: 0.97 units (timescale=2.400).
Factorization parameters were as follows:
n: 9755020980362865378869469608835125092112800232334743266978586232089238157041045210854879766710131
m: 10000000000000000000000000000
c4: 25
c0: 17
skew: 1
type: snfs
lss: 1
rlim: 540000
alim: 540000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 540000/540000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [337500, 477501)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 51579 x 51810
Total sieving time: 0.38 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,113.000,4,0,0,0,0,0,0,0,0,540000,540000,25,25,45,45,2.2,2.2,20000
total time: 0.40 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 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)

25×10122+173

c120

name 名前Robert Backstrom
date 日付January 7, 2010 01:39:02 UTC 2010 年 1 月 7 日 (木) 10 時 39 分 2 秒 (日本時間)
composite number 合成数
451182097094387294712145822053780905973650965529687781988810683992059195091138783613066233531853456054863743006677495037<120>
prime factors 素因数
18499666765345654117390044815191550167<38>
24388660769801561001222437561996542747281024323356819541598641901569465480806529611<83>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 451182097094387294712145822053780905973650965529687781988810683992059195091138783613066233531853456054863743006677495037 (120 digits)
Using B1=2854000, B2=4281671950, polynomial Dickson(6), sigma=2840511092
Step 1 took 24860ms
Step 2 took 10703ms
********** Factor found in step 2: 18499666765345654117390044815191550167
Found probable prime factor of 38 digits: 18499666765345654117390044815191550167
Probable prime cofactor 24388660769801561001222437561996542747281024323356819541598641901569465480806529611 has 83 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)

25×10125+173

c95

name 名前shyguy7129
date 日付January 7, 2010 23:53:22 UTC 2010 年 1 月 8 日 (金) 8 時 53 分 22 秒 (日本時間)
composite number 合成数
81716960357085718308457026129432221800347413696913081428543788602378261773066112257132744704531<95>
prime factors 素因数
739771619095827878822212985024210331523<39>
110462416031805539285702562174855062153140203729428571697<57>
factorization results 素因数分解の結果
Number: 83339_125
N=81716960357085718308457026129432221800347413696913081428543788602378261773066112257132744704531
  ( 95 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=739771619095827878822212985024210331523 (pp39)
 r2=110462416031805539285702562174855062153140203729428571697 (pp57)
Version: Msieve v. 1.43
Total time: 3.38 hours.
Scaled time: 7.31 units (timescale=2.166).
Factorization parameters were as follows:
n: 81716960357085718308457026129432221800347413696913081428543788602378261773066112257132744704531 
m: 10000000000000000000000000 
deg: 5 
c5: 25 
c0: 17 
skew: 0.93 
type: snfs 
lss: 1 
rlim: 890000 
alim: 890000 
lpbr: 26 
lpba: 26 
mfbr: 46 
mfba: 46 
rlambda: 2.3 
alambda: 2.3 
qintsize: 100000 
Factor base limits: 890000/890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [445000, 745001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 111404 x 111633
Total sieving time: 3.31 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs ,126.000,5,0,0,0,0,0,0,0,0,890000,890000,26,26,46,46,2.3,2.3,
total time: 3.38 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 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)

25×10126+173

c120

name 名前Dmitry Domanov
date 日付January 6, 2010 22:37:13 UTC 2010 年 1 月 7 日 (木) 7 時 37 分 13 秒 (日本時間)
composite number 合成数
114043842805087317006789426834759809685277358206678636434702265899250138468612618652867690133518379960318125573210013803<120>
prime factors 素因数
129036220818372714877278397455289790830619543<45>
883812638666873289206156658592485055240929699718766995556997363433265183821<75>
factorization results 素因数分解の結果
N=114043842805087317006789426834759809685277358206678636434702265899250138468612618652867690133518379960318125573210013803
  ( 120 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=129036220818372714877278397455289790830619543 (pp45)
 r2=883812638666873289206156658592485055240929699718766995556997363433265183821 (pp75)
Version: Msieve-1.40
Total time: 1.53 hours.
Scaled time: 2.93 units (timescale=1.916).
Factorization parameters were as follows:
n: 114043842805087317006789426834759809685277358206678636434702265899250138468612618652867690133518379960318125573210013803
m: 10000000000000000000000000
deg: 5
c5: 250
c0: 17
skew: 0.58
type: snfs
lss: 1
rlim: 930000
alim: 930000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 930000/930000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [465000, 765001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 149617 x 149843
Total sieving time: 1.43 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,127.000,5,0,0,0,0,0,0,0,0,930000,930000,26,26,46,46,2.3,2.3,50000
total time: 1.53 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 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)

25×10128+173

c100

name 名前shyguy7129
date 日付January 9, 2010 00:50:47 UTC 2010 年 1 月 9 日 (土) 9 時 50 分 47 秒 (日本時間)
composite number 合成数
1778660604937428248392943917206328938275148060432298186396736725682940597220392667424610819369009259<100>
prime factors 素因数
241461348583805853452181681833<30>
7366233210281664551697328599124467709891013758289242640377080454868723<70>
factorization results 素因数分解の結果
Number: 83339_128
N=1778660604937428248392943917206328938275148060432298186396736725682940597220392667424610819369009259
  ( 100 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=241461348583805853452181681833 (pp30)
 r2=7366233210281664551697328599124467709891013758289242640377080454868723 (pp70)
Version: Msieve v. 1.43
Total time: 3.37 hours.
Scaled time: 7.25 units (timescale=2.151).
Factorization parameters were as follows:
n: 1778660604937428248392943917206328938275148060432298186396736725682940597220392667424610819369009259
m: 50000000000000000000000000
deg: 5
c5: 8
c0: 17
skew: 1.16
type: snfs
lss: 1
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
qintsize: 100000 
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [500000, 800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 100859 x 101085
Total sieving time: 3.31 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,129.000,5,0,0,0,0,0,0,0,0,1000000,1000000,26,26,47,47,2.3,2.3,50000
total time: 3.37 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 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)

25×10130+173

c89

name 名前Dmitry Domanov
date 日付January 6, 2010 20:48:30 UTC 2010 年 1 月 7 日 (木) 5 時 48 分 30 秒 (日本時間)
composite number 合成数
12132915132958035414282552459699494086062787275734525355484486846187963766913849171281367<89>
prime factors 素因数
1569659515532130899613919494479593<34>
7729647743921617935473629570364310111504626117515478719<55>
factorization results 素因数分解の結果
01/07/10 00:03:28 v1.14 @ REPGMAIL, starting SIQS on c89: 12132915132958035414282552459699494086062787275734525355484486846187963766913849171281367
01/07/10 00:03:28 v1.14 @ REPGMAIL, random seeds: 0, 269897728
01/07/10 00:03:28 v1.14 @ REPGMAIL, ==== sieve params ====
01/07/10 00:03:28 v1.14 @ REPGMAIL, n = 89 digits, 296 bits
01/07/10 00:03:28 v1.14 @ REPGMAIL, factor base: 62272 primes (max prime = 1646849)
01/07/10 00:03:28 v1.14 @ REPGMAIL, single large prime cutoff: 181153390 (110 * pmax)
01/07/10 00:03:28 v1.14 @ REPGMAIL, double large prime range from 43 to 50 bits
01/07/10 00:03:28 v1.14 @ REPGMAIL, double large prime cutoff: 731953746481104
01/07/10 00:03:28 v1.14 @ REPGMAIL, allocating 13 large prime slices of factor base
01/07/10 00:03:28 v1.14 @ REPGMAIL, buckets hold 1024 elements
01/07/10 00:03:28 v1.14 @ REPGMAIL, sieve interval: 18 blocks of size 32768
01/07/10 00:03:28 v1.14 @ REPGMAIL, polynomial A has ~ 11 factors
01/07/10 00:03:28 v1.14 @ REPGMAIL, using multiplier of 7
01/07/10 00:03:28 v1.14 @ REPGMAIL, using small prime variation correction of 20 bits
01/07/10 00:03:28 v1.14 @ REPGMAIL, using SSE2 for trial division and x128 sieve scanning
01/07/10 00:03:28 v1.14 @ REPGMAIL, trial factoring cutoff at 99 bits
01/07/10 00:03:28 v1.14 @ REPGMAIL, ==== sieving started ( 8 threads) ====
01/07/10 00:16:33 v1.14 @ REPGMAIL, trial division touched 11925056 sieve locations out of 19057260625920
01/07/10 00:16:33 v1.14 @ REPGMAIL, 62733 relations found: 21543 full + 41190 from 544653 partial, using 16155040 polys (703 A polys)
01/07/10 00:16:33 v1.14 @ REPGMAIL, on average, sieving found 0.04 rels/poly and 720.98 rels/sec
01/07/10 00:16:33 v1.14 @ REPGMAIL, trial division touched 11925056 sieve locations out of 19057260625920
01/07/10 00:16:33 v1.14 @ REPGMAIL, ==== post processing stage (msieve-1.38) ====
01/07/10 00:16:33 v1.14 @ REPGMAIL, begin with 566196 relations
01/07/10 00:16:34 v1.14 @ REPGMAIL, reduce to 124556 relations in 8 passes
01/07/10 00:16:38 v1.14 @ REPGMAIL, failed to read relation 82167
01/07/10 00:16:40 v1.14 @ REPGMAIL, recovered 124555 relations
01/07/10 00:16:40 v1.14 @ REPGMAIL, recovered 105454 polynomials
01/07/10 00:16:41 v1.14 @ REPGMAIL, attempting to build 62732 cycles
01/07/10 00:16:41 v1.14 @ REPGMAIL, found 62732 cycles in 5 passes
01/07/10 00:16:41 v1.14 @ REPGMAIL, distribution of cycle lengths:
01/07/10 00:16:41 v1.14 @ REPGMAIL,    length 1 : 21543
01/07/10 00:16:41 v1.14 @ REPGMAIL,    length 2 : 18490
01/07/10 00:16:41 v1.14 @ REPGMAIL,    length 3 : 11497
01/07/10 00:16:41 v1.14 @ REPGMAIL,    length 4 : 5979
01/07/10 00:16:41 v1.14 @ REPGMAIL,    length 5 : 2979
01/07/10 00:16:41 v1.14 @ REPGMAIL,    length 6 : 1299
01/07/10 00:16:41 v1.14 @ REPGMAIL,    length 7 : 535
01/07/10 00:16:41 v1.14 @ REPGMAIL,    length 9+: 410
01/07/10 00:16:41 v1.14 @ REPGMAIL, largest cycle: 16 relations
01/07/10 00:16:41 v1.14 @ REPGMAIL, matrix is 62272 x 62732 (12.1 MB) with weight 2929975 (46.71/col)
01/07/10 00:16:41 v1.14 @ REPGMAIL, sparse part has weight 2929975 (46.71/col)
01/07/10 00:16:41 v1.14 @ REPGMAIL, filtering completed in 3 passes
01/07/10 00:16:41 v1.14 @ REPGMAIL, matrix is 54663 x 54723 (10.8 MB) with weight 2609359 (47.68/col)
01/07/10 00:16:41 v1.14 @ REPGMAIL, sparse part has weight 2609359 (47.68/col)
01/07/10 00:16:41 v1.14 @ REPGMAIL, saving the first 48 matrix rows for later
01/07/10 00:16:41 v1.14 @ REPGMAIL, matrix is 54615 x 54723 (9.2 MB) with weight 2253303 (41.18/col)
01/07/10 00:16:41 v1.14 @ REPGMAIL, sparse part has weight 2091278 (38.22/col)
01/07/10 00:16:41 v1.14 @ REPGMAIL, matrix includes 64 packed rows
01/07/10 00:16:41 v1.14 @ REPGMAIL, using block size 21889 for processor cache size 6144 kB
01/07/10 00:16:42 v1.14 @ REPGMAIL, commencing Lanczos iteration
01/07/10 00:16:42 v1.14 @ REPGMAIL, memory use: 8.4 MB
01/07/10 00:16:59 v1.14 @ REPGMAIL, lanczos halted after 864 iterations (dim = 54614)
01/07/10 00:16:59 v1.14 @ REPGMAIL, recovered 17 nontrivial dependencies
01/07/10 00:16:59 v1.14 @ REPGMAIL, prp34 = 1569659515532130899613919494479593
01/07/10 00:17:00 v1.14 @ REPGMAIL, prp55 = 7729647743921617935473629570364310111504626117515478719
01/07/10 00:17:00 v1.14 @ REPGMAIL, Lanczos elapsed time = 25.8130 seconds.
01/07/10 00:17:00 v1.14 @ REPGMAIL, Sqrt elapsed time = 0.9690 seconds.
01/07/10 00:17:00 v1.14 @ REPGMAIL, SIQS elapsed time = 812.0938 seconds.
software ソフトウェア
YAFU v1.14

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)

25×10136+173

c106

name 名前Max Dettweiler
date 日付January 7, 2010 04:38:46 UTC 2010 年 1 月 7 日 (木) 13 時 38 分 46 秒 (日本時間)
composite number 合成数
6078145237000219346886340050939565835805737487663888505783463297060380642312526690262931175580652552966469<106>
prime factors 素因数
38536191136482380692431661544638739312482846043<47>
157725635506463239107817063006336259380818470899626035324383<60>
factorization results 素因数分解の結果
Number: c106
N=6078145237000219346886340050939565835805737487663888505783463297060380642312526690262931175580652552966469
  ( 106 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=38536191136482380692431661544638739312482846043 (pp47)
 r2=157725635506463239107817063006336259380818470899626035324383 (pp60)
Version: Msieve v. 1.43
Total time: 4.33 hours.
Scaled time: 4.40 units (timescale=1.016).
Factorization parameters were as follows:
n: 6078145237000219346886340050939565835805737487663888505783463297060380642312526690262931175580652552966469
m: 1000000000000000000000000000
deg: 5
c5: 250
c0: 17
skew: 0.58
type: snfs
lss: 1
rlim: 1360000
alim: 1360000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1360000/1360000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [680000, 1355001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 218342 x 218567
Total sieving time: 4.12 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,137.000,5,0,0,0,0,0,0,0,0,1360000,1360000,26,26,48,48,2.3,2.3,75000
total time: 4.33 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS via factMsieve.pl and msieve v1.43
execution environment 実行環境
Core 2 Duo 2.2Ghz, Windows XP 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 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)

25×10139+173

c102

name 名前shyguy7129
date 日付January 10, 2010 23:02:58 UTC 2010 年 1 月 11 日 (月) 8 時 2 分 58 秒 (日本時間)
composite number 合成数
560051599836625569524420993976117284581539455405302656403552654719447069744527164726018921537819837391<102>
prime factors 素因数
7707184564890213180932822075687567<34>
72666172078961152711250573037866960042655847603814892199032309435073<68>
factorization results 素因数分解の結果
Number: 83339_139
N=560051599836625569524420993976117284581539455405302656403552654719447069744527164726018921537819837391
  ( 102 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=7707184564890213180932822075687567 (pp34)
 r2=72666172078961152711250573037866960042655847603814892199032309435073 (pp68)
Version: Msieve v. 1.43
Total time: 10.01 hours.
Scaled time: 21.46 units (timescale=2.144).
Factorization parameters were as follows:
n: 560051599836625569524420993976117284581539455405302656403552654719447069744527164726018921537819837391 
m: 5000000000000000000000000000 
deg: 5 
c5: 80 
c0: 17 
skew: 0.73 
type: snfs 
lss: 1 
rlim: 1530000 
alim: 1530000 
lpbr: 26 
lpba: 26 
mfbr: 48 
mfba: 48 
rlambda: 2.3 
alambda: 2.3 
qintsize: 100000
Factor base limits: 1530000/1530000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [765000, 1165001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 202568 x 202801
Total sieving time: 9.85 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs ,140.000,5,0,0,0,0,0,0,0,0,1530000,1530000,26,26,48,48,2.3,2.3,
total time: 10.01 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 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)

25×10142+173

c113

name 名前Robert Backstrom
date 日付January 8, 2010 23:26:10 UTC 2010 年 1 月 9 日 (土) 8 時 26 分 10 秒 (日本時間)
composite number 合成数
12135990348696657768992521749689835851244749794956793965084929727874242760015167542005820773541754352804324582181<113>
prime factors 素因数
149931634549469913497136625732561493293484461<45>
80943493914170529014692364823610094097059457841868794231210822098521<68>
factorization results 素因数分解の結果
Number: n
N=12135990348696657768992521749689835851244749794956793965084929727874242760015167542005820773541754352804324582181
  ( 113 digits)
SNFS difficulty: 143 digits.
Divisors found:

Sat Jan 09 09:59:55 2010  prp45 factor: 149931634549469913497136625732561493293484461
Sat Jan 09 09:59:55 2010  prp68 factor: 80943493914170529014692364823610094097059457841868794231210822098521
Sat Jan 09 09:59:55 2010  elapsed time 00:12:12 (Msieve 1.43 - dependency 1)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 8.23 hours.
Scaled time: 14.84 units (timescale=1.803).
Factorization parameters were as follows:
name: KA_8_3_141_9
n: 12135990348696657768992521749689835851244749794956793965084929727874242760015167542005820773541754352804324582181
m: 10000000000000000000000000000
deg: 5
c5: 2500
c0: 17
skew: 0.37
type: snfs
lss: 1
rlim: 1720000
alim: 1720000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.3
alambda: 2.3
qintsize: 50000
Factor base limits: 1720000/1720000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved  special-q in [860000, 1000000)
Primes: RFBsize:129522, AFBsize:129651, largePrimes:3701279 encountered
Relations: rels:3656892, finalFF:312682
Max relations in full relation-set: 28
Initial matrix: 259237 x 312682 with sparse part having weight 36396355.
Pruned matrix : 243106 x 244466 with weight 22474039.

Msieve: found 550173 hash collisions in 4073321 relations
Msieve: matrix is 263220 x 263446 (70.0 MB)

Total sieving time: 8.13 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,143,5,0,0,0,0,0,0,0,0,1720000,1720000,26,26,52,52,2.3,2.3,100000
total time: 8.23 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 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)

25×10145+173

c100

name 名前shyguy7129
date 日付January 9, 2010 05:02:00 UTC 2010 年 1 月 9 日 (土) 14 時 2 分 0 秒 (日本時間)
composite number 合成数
1516288061875129484230433604029839897756987690429996847276771474380920968689636115446013858742960877<100>
prime factors 素因数
604688429670784895770312977699405141851179<42>
2507552629542876625780350223646609144246848814696457435463<58>
factorization results 素因数分解の結果
Number: 83339_145
N=1516288061875129484230433604029839897756987690429996847276771474380920968689636115446013858742960877
  ( 100 digits)
Divisors found:
 r1=604688429670784895770312977699405141851179 (pp42)
 r2=2507552629542876625780350223646609144246848814696457435463 (pp58)
Version: Msieve v. 1.43
Total time: 7.46 hours.
Scaled time: 15.70 units (timescale=2.103).
Factorization parameters were as follows:
name: 10000_140625
n: 1516288061875129484230433604029839897756987690429996847276771474380920968689636115446013858742960877
skew: 25627.47
# norm 1.63e+014
c5: 2880
c4: 203384440
c3: -6506796614657
c2: -41241051083393541
c1: 383845837876425791197
c0: -5829028840766453128524039
# alpha -5.73
Y1: 21428915783
Y0: -13940181152000707834
# Murphy_E 3.02e-009
# M 698389086120519916909158944607698908104560266988294080981017405365847925051710028021252184874525249
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 197783 x 198010
Total sieving time: 7.26 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 7.46 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
ggnfs + msieve v1.43

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)

25×10147+173

c117

name 名前Serge Batalov
date 日付January 6, 2010 20:22:33 UTC 2010 年 1 月 7 日 (木) 5 時 22 分 33 秒 (日本時間)
composite number 合成数
268984014179191423185317774729599798593844358560266070267021490610932751541945045762704626227479525027252042628633657<117>
prime factors 素因数
26898497111154017956553743919<29>
9999964424319143110473760629201053751667573907783981307017477187689159621125047063790103<88>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3320803121
Step 1 took 5892ms
Step 2 took 3296ms
********** Factor found in step 2: 26898497111154017956553743919
Found probable prime factor of 29 digits: 26898497111154017956553743919
Probable prime cofactor has 88 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)

25×10148+173

c135

name 名前Dmitry Domanov
date 日付January 8, 2010 11:50:59 UTC 2010 年 1 月 8 日 (金) 20 時 50 分 59 秒 (日本時間)
composite number 合成数
218508213416832424789258986652696168538581683806523712155780721211828936385252600727592375896947700186234106351417253671880859197199837<135>
prime factors 素因数
41995722301695054414837980638870453024189<41>
5203106446106128200512337383232693400520710115901688610859787534008483999226542575147647734433<94>
factorization results 素因数分解の結果
N=218508213416832424789258986652696168538581683806523712155780721211828936385252600727592375896947700186234106351417253671880859197199837
  ( 135 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=41995722301695054414837980638870453024189 (pp41)
 r2=5203106446106128200512337383232693400520710115901688610859787534008483999226542575147647734433 (pp94)
Version: Msieve-1.40
Total time: 8.64 hours.
Scaled time: 8.09 units (timescale=0.936).
Factorization parameters were as follows:
n: 218508213416832424789258986652696168538581683806523712155780721211828936385252600727592375896947700186234106351417253671880859197199837
m: 500000000000000000000000000000
deg: 5
c5: 8
c0: 17
skew: 1.16
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 2100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 331125 x 331351
Total sieving time: 8.23 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,149.000,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 8.64 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
3025e40--
351e6118 / 904Makoto KamadaJanuary 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)

25×10152+173

c146

name 名前Sinkiti Sibata
date 日付March 31, 2010 06:21:09 UTC 2010 年 3 月 31 日 (水) 15 時 21 分 9 秒 (日本時間)
composite number 合成数
66405343048275648472744843339569326288310802930111856081665609626416024214894277514250387402130809335305625146141558713492633376393213979557194829<146>
prime factors 素因数
2813394947733414666709149138763473782021387<43>
23603277990448689823475581170732030687693339599101193753468951294131505758633613728647250645209569493767<104>
factorization results 素因数分解の結果
Number: 83339_152
N=66405343048275648472744843339569326288310802930111856081665609626416024214894277514250387402130809335305625146141558713492633376393213979557194829
  ( 146 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=2813394947733414666709149138763473782021387 (pp43)
 r2=23603277990448689823475581170732030687693339599101193753468951294131505758633613728647250645209569493767 (pp104)
Version: Msieve-1.40
Total time: 19.79 hours.
Scaled time: 39.90 units (timescale=2.016).
Factorization parameters were as follows:
name: 83339_152
n: 66405343048275648472744843339569326288310802930111856081665609626416024214894277514250387402130809335305625146141558713492633376393213979557194829
m: 1000000000000000000000000000000
deg: 5
c5: 2500
c0: 17
skew: 0.37
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 2050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 453673 x 453921
Total sieving time: 19.03 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.52 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 19.79 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 KamadaMarch 30, 2010 02:00:00 UTC 2010 年 3 月 30 日 (火) 11 時 0 分 0 秒 (日本時間)

25×10155+173

c155

name 名前Sinkiti Sibata
date 日付April 1, 2010 05:31:22 UTC 2010 年 4 月 1 日 (木) 14 時 31 分 22 秒 (日本時間)
composite number 合成数
64102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564103<155>
prime factors 素因数
347065362350177984097260645089693898025887987<45>
184698823496787446299126154111636139190514494432275801036213557614302726606753811984301060915375838117270439069<111>
factorization results 素因数分解の結果
Number: 83339_155
N=64102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564103
  ( 155 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=347065362350177984097260645089693898025887987 (pp45)
 r2=184698823496787446299126154111636139190514494432275801036213557614302726606753811984301060915375838117270439069 (pp111)
Version: Msieve v. 1.42
Total time: 1.04 hours.
Scaled time: 0.83 units (timescale=0.796).
Factorization parameters were as follows:
name: 83339_155
n: 64102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564103
m: 10000000000000000000000000000000
deg: 5
c5: 25
c0: 17
skew: 0.93
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, 2400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 478823 x 479049
Total sieving time: 0.00 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.74 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 1.04 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.. 3721.25 BogoMIPS (lpj=1860629)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860573)
Total of 2 processors activated (7442.40 BogoMIPS).

Total time: 18 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 30, 2010 02:00:00 UTC 2010 年 3 月 30 日 (火) 11 時 0 分 0 秒 (日本時間)

25×10159+173

c138

name 名前Serge Batalov
date 日付March 30, 2010 05:07:20 UTC 2010 年 3 月 30 日 (火) 14 時 7 分 20 秒 (日本時間)
composite number 合成数
470115567948716867553975453833976088833579179001893922820973619260645016772242518552329554993123698055966233077846905200304663611477934677<138>
prime factors 素因数
618461755793134799045116129729<30>
composite cofactor 合成数の残り
760136845237626510243373111848271622256749212745072910939880504937565075061175000245154039473336397837585813<108>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3473870667
Step 1 took 3796ms
Step 2 took 2768ms
********** Factor found in step 2: 618461755793134799045116129729
Found probable prime factor of 30 digits: 618461755793134799045116129729
Composite cofactor has 108 digits

c108

name 名前Jo Yeong Uk
date 日付March 31, 2010 06:01:51 UTC 2010 年 3 月 31 日 (水) 15 時 1 分 51 秒 (日本時間)
composite number 合成数
760136845237626510243373111848271622256749212745072910939880504937565075061175000245154039473336397837585813<108>
prime factors 素因数
2706073287556783248524985204575787504279471944949959<52>
280900317346514613829629608665207271676000078506436147907<57>
factorization results 素因数分解の結果
Number: 83339_159
N=760136845237626510243373111848271622256749212745072910939880504937565075061175000245154039473336397837585813
  ( 108 digits)
Divisors found:
 r1=2706073287556783248524985204575787504279471944949959
 r2=280900317346514613829629608665207271676000078506436147907
Version: 
Total time: 6.55 hours.
Scaled time: 15.68 units (timescale=2.392).
Factorization parameters were as follows:
name: 83339_159
n: 760136845237626510243373111848271622256749212745072910939880504937565075061175000245154039473336397837585813
skew: 6675.54
# norm 4.27e+14
c5: 205200
c4: 2551712382
c3: 6201946666805
c2: -176733938140460116
c1: 410185863558736843596
c0: 688008854038864455891120
# alpha -6.21
Y1: 381111740999
Y0: -326393592432224762399
# Murphy_E 1.43e-09
# M 744362325506667163842287221622138287817619489290688557503099697064370484392575867990277114496616002998334178
type: gnfs
rlim: 2000000
alim: 2000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1000000, 2050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 7293851
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 347907 x 348155
Polynomial selection time: 0.50 hours.
Total sieving time: 4.79 hours.
Total relation processing time: 0.70 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2000000,2000000,27,27,50,50,2.6,2.6,50000
total time: 6.55 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: 8046640k/8912896k available (2551k kernel code, 339524k reserved, 1290k data, 208k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.55 BogoMIPS (lpj=2672775)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672343)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672343)
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 KamadaMarch 30, 2010 02:00:00 UTC 2010 年 3 月 30 日 (火) 11 時 0 分 0 秒 (日本時間)

25×10160+173

c161

name 名前Serge Batalov
date 日付March 30, 2010 03:24:50 UTC 2010 年 3 月 30 日 (火) 12 時 24 分 50 秒 (日本時間)
composite number 合成数
83333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333339<161>
prime factors 素因数
4787067101479205609944863497<28>
composite cofactor 合成数の残り
17408014462045727473315337113174116363535954824256523483238195884408250156894786665527719019424632177176908074040658472923621036280387<134>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=2170610635
Step 1 took 7144ms
Step 2 took 3840ms
********** Factor found in step 2: 4787067101479205609944863497
Found probable prime factor of 28 digits: 4787067101479205609944863497
Composite cofactor has 134 digits

c134

name 名前Sinkiti Sibata
date 日付April 2, 2010 06:32:00 UTC 2010 年 4 月 2 日 (金) 15 時 32 分 0 秒 (日本時間)
composite number 合成数
17408014462045727473315337113174116363535954824256523483238195884408250156894786665527719019424632177176908074040658472923621036280387<134>
prime factors 素因数
201996970351373582719040013973819204089790021369482751<54>
86179581959890284506938592704012300915573532116460708626202461108565230173768637<80>
factorization results 素因数分解の結果
Number: 83339_160
N=17408014462045727473315337113174116363535954824256523483238195884408250156894786665527719019424632177176908074040658472923621036280387
  ( 134 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=201996970351373582719040013973819204089790021369482751 (pp54)
 r2=86179581959890284506938592704012300915573532116460708626202461108565230173768637 (pp80)
Version: Msieve-1.40
Total time: 39.26 hours.
Scaled time: 79.39 units (timescale=2.022).
Factorization parameters were as follows:
name: 83339_160
n: 17408014462045727473315337113174116363535954824256523483238195884408250156894786665527719019424632177176908074040658472923621036280387
m: 100000000000000000000000000000000
deg: 5
c5: 25
c0: 17
skew: 0.93
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
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: 51/51
Sieved rational special-q in [1700000, 3100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 657900 x 658148
Total sieving time: 37.60 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.09 hours.
Time per square root: 0.46 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 39.26 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 KamadaMarch 30, 2010 02:00:00 UTC 2010 年 3 月 30 日 (火) 11 時 0 分 0 秒 (日本時間)

25×10161+173

c160

name 名前Dmitry Domanov
date 日付March 31, 2010 21:36:51 UTC 2010 年 4 月 1 日 (木) 6 時 36 分 51 秒 (日本時間)
composite number 合成数
4930966469428007889546351084812623274161735700197238658777120315581854043392504930966469428007889546351084812623274161735700197238658777120315581854043392504931<160>
prime factors 素因数
5406065977623479358788923441646923875840992839<46>
63307137475223635765245719761231851390906282462923<50>
14407811933022791001780318647105702432526627985784319990973549423<65>
factorization results 素因数分解の結果
Number: s111
N=4930966469428007889546351084812623274161735700197238658777120315581854043392504930966469428007889546351084812623274161735700197238658777120315581854043392504931
  ( 160 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=5406065977623479358788923441646923875840992839 (pp46)
 r2=63307137475223635765245719761231851390906282462923 (pp50)
 r3=14407811933022791001780318647105702432526627985784319990973549423 (pp65)
Version: Msieve-1.40
Total time: 28.11 hours.
Scaled time: 53.25 units (timescale=1.894).
Factorization parameters were as follows:
n: 4930966469428007889546351084812623274161735700197238658777120315581854043392504930966469428007889546351084812623274161735700197238658777120315581854043392504931
m: 100000000000000000000000000000000
deg: 5
c5: 250
c0: 17
skew: 0.58
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 3400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 677012 x 677238
Total sieving time: 27.26 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.57 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,162.000,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 28.11 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 KamadaMarch 30, 2010 02:00:00 UTC 2010 年 3 月 30 日 (火) 11 時 0 分 0 秒 (日本時間)

25×10162+173

c135

name 名前Sinkiti Sibata
date 日付April 3, 2010 05:16:11 UTC 2010 年 4 月 3 日 (土) 14 時 16 分 11 秒 (日本時間)
composite number 合成数
278543478206650852559440984457498406989798561179097287778444825724546695949105601187303263645135963712600128994995247268468060970497937<135>
prime factors 素因数
26582384213082724878505500024300208175813<41>
876812639962313934494420567627888385343884811<45>
11950670205251781559464701434029249122408446395959<50>
factorization results 素因数分解の結果
Number: 83339_162
N=278543478206650852559440984457498406989798561179097287778444825724546695949105601187303263645135963712600128994995247268468060970497937
  ( 135 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=26582384213082724878505500024300208175813 (pp41)
 r2=876812639962313934494420567627888385343884811 (pp45)
 r3=11950670205251781559464701434029249122408446395959 (pp50)
Version: Msieve-1.40
Total time: 44.36 hours.
Scaled time: 100.12 units (timescale=2.257).
Factorization parameters were as follows:
name: 83339_162
n: 278543478206650852559440984457498406989798561179097287778444825724546695949105601187303263645135963712600128994995247268468060970497937
m: 100000000000000000000000000000000
deg: 5
c5: 2500
c0: 17
skew: 0.37
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1850000, 3550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 638551 x 638799
Total sieving time: 43.02 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.97 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
snfs,163.000,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 44.36 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)
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 KamadaMarch 30, 2010 02:00:00 UTC 2010 年 3 月 30 日 (火) 11 時 0 分 0 秒 (日本時間)

25×10164+173

c144

name 名前Sinkiti Sibata
date 日付April 15, 2010 22:19:52 UTC 2010 年 4 月 16 日 (金) 7 時 19 分 52 秒 (日本時間)
composite number 合成数
466605947905676174701553841800558634546149875318625321345769716381706342466030322468817443687744961525128770462124824130205813505465539961898063<144>
prime factors 素因数
187931694411256681635620290618580426895236024172673<51>
2482848618842269844664407283568807477411832052637732380364606738988499197124393791130421812431<94>
factorization results 素因数分解の結果
Number: 83339_164
N=466605947905676174701553841800558634546149875318625321345769716381706342466030322468817443687744961525128770462124824130205813505465539961898063
  ( 144 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=187931694411256681635620290618580426895236024172673 (pp51)
 r2=2482848618842269844664407283568807477411832052637732380364606738988499197124393791130421812431 (pp94)
Version: Msieve-1.40
Total time: 40.46 hours.
Scaled time: 114.27 units (timescale=2.824).
Factorization parameters were as follows:
name: 83339_164
n: 466605947905676174701553841800558634546149875318625321345769716381706342466030322468817443687744961525128770462124824130205813505465539961898063
m: 500000000000000000000000000000000
deg: 5
c5: 80
c0: 17
skew: 0.73
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2000000, 3900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 791105 x 791353
Total sieving time: 38.74 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.35 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 40.46 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 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
351e6528118Makoto KamadaMarch 30, 2010 02:00:00 UTC 2010 年 3 月 30 日 (火) 11 時 0 分 0 秒 (日本時間)
410Ignacio SantosApril 2, 2010 16:50:05 UTC 2010 年 4 月 3 日 (土) 1 時 50 分 5 秒 (日本時間)
403e6150 / 2206Ignacio SantosApril 2, 2010 16:50:05 UTC 2010 年 4 月 3 日 (土) 1 時 50 分 5 秒 (日本時間)

25×10168+173

c167

name 名前Dmitry Domanov
date 日付April 1, 2010 05:06:20 UTC 2010 年 4 月 1 日 (木) 14 時 6 分 20 秒 (日本時間)
composite number 合成数
38402457757296466973886328725038402457757296466973886328725038402457757296466973886328725038402457757296466973886328725038402457757296466973886328725038402457757296467<167>
prime factors 素因数
43488692720560743391243496100011157980355892057<47>
883044657241223817549727308667228093717473973528724993651244653688678772707240532281153900718417834240627651621192341131<120>
factorization results 素因数分解の結果
Number: 112s
N=38402457757296466973886328725038402457757296466973886328725038402457757296466973886328725038402457757296466973886328725038402457757296466973886328725038402457757296467
  ( 167 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=43488692720560743391243496100011157980355892057 (pp47)
 r2=883044657241223817549727308667228093717473973528724993651244653688678772707240532281153900718417834240627651621192341131 (pp120)
Version: Msieve-1.40
Total time: 32.54 hours.
Scaled time: 63.49 units (timescale=1.951).
Factorization parameters were as follows:
n: 38402457757296466973886328725038402457757296466973886328725038402457757296466973886328725038402457757296466973886328725038402457757296466973886328725038402457757296467
m: 5000000000000000000000000000000000
deg: 5
c5: 8
c0: 17
skew: 1.16
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2350000, 4050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 766369 x 766594
Total sieving time: 31.66 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.73 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,169.000,5,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.4,2.4,100000
total time: 32.54 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 KamadaMarch 30, 2010 02:00:00 UTC 2010 年 3 月 30 日 (火) 11 時 0 分 0 秒 (日本時間)

25×10171+173

c152

name 名前Sinkiti Sibata
date 日付April 23, 2010 06:39:52 UTC 2010 年 4 月 23 日 (金) 15 時 39 分 52 秒 (日本時間)
composite number 合成数
10122517430649545713741043387017883493349400095798463787624818487422058962890806746808854180703232819765514228072802283179967509942048098646451066879777<152>
prime factors 素因数
13840793901439157772951498811300231<35>
632582289793679040507341051937970771144357036954790092243<57>
1156140200876039016110420827877389400020788354888032711924269<61>
factorization results 素因数分解の結果
Number: 83339_171
N=10122517430649545713741043387017883493349400095798463787624818487422058962890806746808854180703232819765514228072802283179967509942048098646451066879777
  ( 152 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=13840793901439157772951498811300231 (pp35)
 r2=632582289793679040507341051937970771144357036954790092243 (pp57)
 r3=1156140200876039016110420827877389400020788354888032711924269 (pp61)
Version: Msieve-1.40
Total time: 76.41 hours.
Scaled time: 181.39 units (timescale=2.374).
Factorization parameters were as follows:
name: 83339_171
n: 10122517430649545713741043387017883493349400095798463787624818487422058962890806746808854180703232819765514228072802283179967509942048098646451066879777
m: 10000000000000000000000000000000000
deg: 5
c5: 250
c0: 17
skew: 0.58
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2600000, 6100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 980583 x 980831
Total sieving time: 73.68 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 2.23 hours.
Time per square root: 0.37 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 76.41 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 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 KamadaMarch 30, 2010 02:00:00 UTC 2010 年 3 月 30 日 (火) 11 時 0 分 0 秒 (日本時間)

25×10173+173

c170

name 名前Ignacio Santos
date 日付April 10, 2010 12:48:46 UTC 2010 年 4 月 10 日 (土) 21 時 48 分 46 秒 (日本時間)
composite number 合成数
49653419134441597648414069792845935371109654610816500824246757631730520963673558561242527160420266539553913682496176686726647996981072116625950862976424556594967129436533<170>
prime factors 素因数
40323503268383524338756767120008839417440843377897014456169754513977018751<74>
1231376619336876579458868629813304824753645397945616979406626275087276804376380599719114820630283<97>
factorization results 素因数分解の結果
Number: 8
N=49653419134441597648414069792845935371109654610816500824246757631730520963673558561242527160420266539553913682496176686726647996981072116625950862976424556594967129436533
  ( 170 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=40323503268383524338756767120008839417440843377897014456169754513977018751 (pp74)
 r2=1231376619336876579458868629813304824753645397945616979406626275087276804376380599719114820630283 (pp97)
Version: Msieve-1.40
Total time: 54.29 hours.
Scaled time: 94.42 units (timescale=1.739).
Factorization parameters were as follows:
n: 49653419134441597648414069792845935371109654610816500824246757631730520963673558561242527160420266539553913682496176686726647996981072116625950862976424556594967129436533
m: 50000000000000000000000000000000000
deg: 5
c5: 8
c0: 17
skew: 1.16
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2800000, 5500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 838831 x 839058
Total sieving time: 52.97 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.90 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 54.29 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
351e6528118Makoto KamadaMarch 30, 2010 02:00:00 UTC 2010 年 3 月 30 日 (火) 11 時 0 分 0 秒 (日本時間)
410Ignacio SantosApril 1, 2010 15:19:35 UTC 2010 年 4 月 2 日 (金) 0 時 19 分 35 秒 (日本時間)
403e6150Ignacio SantosApril 1, 2010 15:19:35 UTC 2010 年 4 月 2 日 (金) 0 時 19 分 35 秒 (日本時間)
4511e6832 / 4423Dmitry DomanovApril 8, 2010 03:16:18 UTC 2010 年 4 月 8 日 (木) 12 時 16 分 18 秒 (日本時間)

25×10174+173

c165

name 名前Ignacio Santos
date 日付May 1, 2010 11:03:22 UTC 2010 年 5 月 1 日 (土) 20 時 3 分 22 秒 (日本時間)
composite number 合成数
437041857594352481650695384810619738850096171075623060421795219895551219957095034783348460671017000092479053522400300240945307011404504953684928018871892005829630223<165>
prime factors 素因数
149130312998480436962113024321035807421<39>
composite cofactor 合成数の残り
2930603770668715211637058412716983646841602730476178496856427654305320595301986210561282389959354099844513767777618821265208763<127>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=478625928
Step 1 took 87236ms
Step 2 took 57111ms
********** Factor found in step 2: 149130312998480436962113024321035807421
Found probable prime factor of 39 digits: 149130312998480436962113024321035807421
Composite cofactor 2930603770668715211637058412716983646841602730476178496856427654305320595301986210561282389959354099844513767777618821265208763 has 127 digits
software ソフトウェア
GMP-ECM 6.2.3

c127

name 名前ruffenach timothee
date 日付May 21, 2010 09:09:52 UTC 2010 年 5 月 21 日 (金) 18 時 9 分 52 秒 (日本時間)
composite number 合成数
2930603770668715211637058412716983646841602730476178496856427654305320595301986210561282389959354099844513767777618821265208763<127>
prime factors 素因数
9903553487633695161798172629887660684635144006506251820403687<61>
295914367941575969838139921042585253717291939573032192916130606349<66>
factorization results 素因数分解の結果
Number: 83339_174/83339_174
N=2930603770668715211637058412716983646841602730476178496856427654305320595301986210561282389959354099844513767777618821265208763
  ( 127 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=9903553487633695161798172629887660684635144006506251820403687 (pp61)
 r2=295914367941575969838139921042585253717291939573032192916130606349 (pp66)
Version: Msieve v. 1.44
Total time: 85.94 hours.
Scaled time: 173.59 units (timescale=2.020).
Factorization parameters were as follows:
n: 2930603770668715211637058412716983646841602730476178496856427654305320595301986210561282389959354099844513767777618821265208763
m: 50000000000000000000000000000000000
deg: 5
c5: 80
c0: 17
skew: 0.73
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2950000, 6850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1197894 x 1198098
Total sieving time: 83.83 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.77 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,175.000,5,0,0,0,0,0,0,0,0,5900000,5900000,28,28,52,52,2.5,2.5,100000
total time: 85.94 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
351e6904118Makoto KamadaMarch 30, 2010 02:00:00 UTC 2010 年 3 月 30 日 (火) 11 時 0 分 0 秒 (日本時間)
786Ignacio SantosMay 1, 2010 14:08:00 UTC 2010 年 5 月 1 日 (土) 23 時 8 分 0 秒 (日本時間)

25×10175+173

c172

name 名前Ignacio Santos
date 日付April 8, 2010 14:31:16 UTC 2010 年 4 月 8 日 (木) 23 時 31 分 16 秒 (日本時間)
composite number 合成数
1929593010242279698366020638926837551423653722956753961454450027400220745440371716797493072761093230215882865985906252653190389083134585253278378524401633207523869065536697<172>
prime factors 素因数
648276803558169358463372174336512926284941774808557<51>
217842992393407415294063218438934416343637907811387362625341<60>
13663489932664057649606767521813811171537385159964618382332481<62>
factorization results 素因数分解の結果
Number: 6
N=1929593010242279698366020638926837551423653722956753961454450027400220745440371716797493072761093230215882865985906252653190389083134585253278378524401633207523869065536697
  ( 172 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=648276803558169358463372174336512926284941774808557 (pp51)
 r2=217842992393407415294063218438934416343637907811387362625341 (pp60)
 r3=13663489932664057649606767521813811171537385159964618382332481 (pp62)
Version: Msieve-1.40
Total time: 78.91 hours.
Scaled time: 137.23 units (timescale=1.739).
Factorization parameters were as follows:
n: 1929593010242279698366020638926837551423653722956753961454450027400220745440371716797493072761093230215882865985906252653190389083134585253278378524401633207523869065536697
m: 100000000000000000000000000000000000
deg: 5
c5: 25
c0: 17
skew: 0.93
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3050000, 6850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1298973 x 1299198
Total sieving time: 75.94 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 2.35 hours.
Time per square root: 0.45 hours.
Prototype def-par.txt line would be:
snfs,176.000,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time: 78.91 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6528118Makoto KamadaMarch 30, 2010 02:00:00 UTC 2010 年 3 月 30 日 (火) 11 時 0 分 0 秒 (日本時間)
410Ignacio SantosApril 1, 2010 22:27:09 UTC 2010 年 4 月 2 日 (金) 7 時 27 分 9 秒 (日本時間)
403e6150 / 2206Ignacio SantosApril 1, 2010 22:27:09 UTC 2010 年 4 月 2 日 (金) 7 時 27 分 9 秒 (日本時間)

25×10176+173

c174

name 名前Ignacio Santos
date 日付April 9, 2010 19:07:08 UTC 2010 年 4 月 10 日 (土) 4 時 7 分 8 秒 (日本時間)
composite number 合成数
274032664693631480872520004384522635098103693960320070152362161569659103365121122437794585114545653841937959004713361832730461471007344075413789323687383536117505206620629179<174>
prime factors 素因数
16305118828474987667507255882903201020823650659879892503521246333<65>
16806542017655547789466935225004734813021094419152333762183518085428739167234868698426870304330592076940269463<110>
factorization results 素因数分解の結果
Number: 7
N=274032664693631480872520004384522635098103693960320070152362161569659103365121122437794585114545653841937959004713361832730461471007344075413789323687383536117505206620629179
  ( 174 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=16305118828474987667507255882903201020823650659879892503521246333 (pp65)
 r2=16806542017655547789466935225004734813021094419152333762183518085428739167234868698426870304330592076940269463 (pp110)
Version: Msieve-1.40
Total time: 94.37 hours.
Scaled time: 164.11 units (timescale=1.739).
Factorization parameters were as follows:
n: 274032664693631480872520004384522635098103693960320070152362161569659103365121122437794585114545653841937959004713361832730461471007344075413789323687383536117505206620629179
m: 100000000000000000000000000000000000
deg: 5
c5: 250
c0: 17
skew: 0.58
type: snfs
lss: 1
rlim: 6300000
alim: 6300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6300000/6300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3150000, 7750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1385514 x 1385739
Total sieving time: 90.86 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 2.78 hours.
Time per square root: 0.55 hours.
Prototype def-par.txt line would be:
snfs,177.000,5,0,0,0,0,0,0,0,0,6300000,6300000,28,28,53,53,2.5,2.5,100000
total time: 94.37 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
351e6528118Makoto KamadaMarch 30, 2010 02:00:00 UTC 2010 年 3 月 30 日 (火) 11 時 0 分 0 秒 (日本時間)
410Ignacio SantosApril 2, 2010 09:20:13 UTC 2010 年 4 月 2 日 (金) 18 時 20 分 13 秒 (日本時間)
403e6150Ignacio SantosApril 2, 2010 09:20:13 UTC 2010 年 4 月 2 日 (金) 18 時 20 分 13 秒 (日本時間)
4511e6800 / 4423Dmitry DomanovApril 8, 2010 03:17:35 UTC 2010 年 4 月 8 日 (木) 12 時 17 分 35 秒 (日本時間)

25×10177+173

c121

name 名前Serge Batalov
date 日付March 30, 2010 03:52:07 UTC 2010 年 3 月 30 日 (火) 12 時 52 分 7 秒 (日本時間)
composite number 合成数
2393029485388282984127322882392588100388423381839052468146935770582531047012913628524130726139192950965964454781673945593<121>
prime factors 素因数
1046925880293306223669405865206667<34>
composite cofactor 合成数の残り
2285767818365377553889027534573877615718861921904614720893488977148192676531927313856779<88>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=760338761
Step 1 took 3200ms
Step 2 took 2477ms
********** Factor found in step 2: 1046925880293306223669405865206667
Found probable prime factor of 34 digits: 1046925880293306223669405865206667
Composite cofactor has 88 digits

c88

name 名前Ignacio Santos
date 日付March 30, 2010 15:57:42 UTC 2010 年 3 月 31 日 (水) 0 時 57 分 42 秒 (日本時間)
composite number 合成数
2285767818365377553889027534573877615718861921904614720893488977148192676531927313856779<88>
prime factors 素因数
18918510620729636987325277314373<32>
120821763625556562246650559509436852935600451683447249423<57>
factorization results 素因数分解の結果
03/30/10 17:44:08 v1.15 @ IGNACIO-PC, starting SIQS on c88: 2285767818365377553889027534573877615718861921904614720893488977148192676531927313856779
03/30/10 17:44:08 v1.15 @ IGNACIO-PC, random seeds: 0, 3229300912
03/30/10 17:44:08 v1.15 @ IGNACIO-PC, ==== sieve params ====
03/30/10 17:44:08 v1.15 @ IGNACIO-PC, n = 88 digits, 291 bits
03/30/10 17:44:08 v1.15 @ IGNACIO-PC, factor base: 61083 primes (max prime = 1614233)
03/30/10 17:44:08 v1.15 @ IGNACIO-PC, single large prime cutoff: 177565630 (110 * pmax)
03/30/10 17:44:08 v1.15 @ IGNACIO-PC, double large prime range from 43 to 50 bits
03/30/10 17:44:08 v1.15 @ IGNACIO-PC, double large prime cutoff: 706067191531837
03/30/10 17:44:08 v1.15 @ IGNACIO-PC, allocating 13 large prime slices of factor base
03/30/10 17:44:08 v1.15 @ IGNACIO-PC, buckets hold 1024 elements
03/30/10 17:44:08 v1.15 @ IGNACIO-PC, sieve interval: 18 blocks of size 32768
03/30/10 17:44:08 v1.15 @ IGNACIO-PC, polynomial A has ~ 11 factors
03/30/10 17:44:08 v1.15 @ IGNACIO-PC, using multiplier of 1
03/30/10 17:44:08 v1.15 @ IGNACIO-PC, using small prime variation correction of 20 bits
03/30/10 17:44:08 v1.15 @ IGNACIO-PC, using SSE2 for trial division and x128 sieve scanning
03/30/10 17:44:08 v1.15 @ IGNACIO-PC, trial factoring cutoff at 97 bits
03/30/10 17:44:08 v1.15 @ IGNACIO-PC, ==== sieving started ( 4 threads) ====
03/30/10 17:56:37 v1.15 @ IGNACIO-PC, trial division touched 14867212 sieve locations out of 31906953953280
03/30/10 17:56:37 v1.15 @ IGNACIO-PC, 61513 relations found: 20884 full + 40629 from 503346 partial, using 27047860 polys (647 A polys)
03/30/10 17:56:37 v1.15 @ IGNACIO-PC, on average, sieving found 0.02 rels/poly and 700.10 rels/sec
03/30/10 17:56:37 v1.15 @ IGNACIO-PC, trial division touched 14867212 sieve locations out of 31906953953280
03/30/10 17:56:37 v1.15 @ IGNACIO-PC, ==== post processing stage (msieve-1.38) ====
03/30/10 17:56:37 v1.15 @ IGNACIO-PC, begin with 524230 relations
03/30/10 17:56:37 v1.15 @ IGNACIO-PC, reduce to 122822 relations in 10 passes
03/30/10 17:56:39 v1.15 @ IGNACIO-PC, failed to read relation 48289
03/30/10 17:56:42 v1.15 @ IGNACIO-PC, recovered 122821 relations
03/30/10 17:56:42 v1.15 @ IGNACIO-PC, recovered 102673 polynomials
03/30/10 17:56:42 v1.15 @ IGNACIO-PC, attempting to build 61512 cycles
03/30/10 17:56:42 v1.15 @ IGNACIO-PC, found 61512 cycles in 5 passes
03/30/10 17:56:42 v1.15 @ IGNACIO-PC, distribution of cycle lengths:
03/30/10 17:56:42 v1.15 @ IGNACIO-PC,    length 1 : 20884
03/30/10 17:56:42 v1.15 @ IGNACIO-PC,    length 2 : 17570
03/30/10 17:56:42 v1.15 @ IGNACIO-PC,    length 3 : 11337
03/30/10 17:56:42 v1.15 @ IGNACIO-PC,    length 4 : 6153
03/30/10 17:56:42 v1.15 @ IGNACIO-PC,    length 5 : 3165
03/30/10 17:56:42 v1.15 @ IGNACIO-PC,    length 6 : 1370
03/30/10 17:56:42 v1.15 @ IGNACIO-PC,    length 7 : 619
03/30/10 17:56:42 v1.15 @ IGNACIO-PC,    length 9+: 414
03/30/10 17:56:42 v1.15 @ IGNACIO-PC, largest cycle: 14 relations
03/30/10 17:56:42 v1.15 @ IGNACIO-PC, matrix is 61083 x 61512 (13.0 MB) with weight 2909727 (47.30/col)
03/30/10 17:56:42 v1.15 @ IGNACIO-PC, sparse part has weight 2909727 (47.30/col)
03/30/10 17:56:42 v1.15 @ IGNACIO-PC, filtering completed in 4 passes
03/30/10 17:56:42 v1.15 @ IGNACIO-PC, matrix is 53831 x 53895 (11.5 MB) with weight 2593350 (48.12/col)
03/30/10 17:56:42 v1.15 @ IGNACIO-PC, sparse part has weight 2593350 (48.12/col)
03/30/10 17:56:42 v1.15 @ IGNACIO-PC, saving the first 48 matrix rows for later
03/30/10 17:56:43 v1.15 @ IGNACIO-PC, matrix is 53783 x 53895 (9.9 MB) with weight 2231777 (41.41/col)
03/30/10 17:56:43 v1.15 @ IGNACIO-PC, sparse part has weight 2047938 (38.00/col)
03/30/10 17:56:43 v1.15 @ IGNACIO-PC, matrix includes 64 packed rows
03/30/10 17:56:43 v1.15 @ IGNACIO-PC, using block size 21558 for processor cache size 4096 kB
03/30/10 17:56:43 v1.15 @ IGNACIO-PC, commencing Lanczos iteration
03/30/10 17:56:43 v1.15 @ IGNACIO-PC, memory use: 8.2 MB
03/30/10 17:56:59 v1.15 @ IGNACIO-PC, lanczos halted after 852 iterations (dim = 53781)
03/30/10 17:56:59 v1.15 @ IGNACIO-PC, recovered 17 nontrivial dependencies
03/30/10 17:56:59 v1.15 @ IGNACIO-PC, prp57 = 120821763625556562246650559509436852935600451683447249423
03/30/10 17:57:02 v1.15 @ IGNACIO-PC, prp32 = 18918510620729636987325277314373
03/30/10 17:57:02 v1.15 @ IGNACIO-PC, Lanczos elapsed time = 22.4020 seconds.
03/30/10 17:57:02 v1.15 @ IGNACIO-PC, Sqrt elapsed time = 2.5890 seconds.
03/30/10 17:57:02 v1.15 @ IGNACIO-PC, SIQS elapsed time = 773.7802 seconds.
03/30/10 17:57:02 v1.15 @ IGNACIO-PC, 
03/30/10 17:57:02 v1.15 @ IGNACIO-PC, 
software ソフトウェア
Yafu 1.15

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 30, 2010 02:00:00 UTC 2010 年 3 月 30 日 (火) 11 時 0 分 0 秒 (日本時間)

25×10178+173

c144

name 名前Serge Batalov
date 日付March 30, 2010 06:08:25 UTC 2010 年 3 月 30 日 (火) 15 時 8 分 25 秒 (日本時間)
composite number 合成数
115285910009623872767186568832574063498406791383230259487206877774488151902030301604965922071214094892849565372027642221670567935931892316576347<144>
prime factors 素因数
1438993931062660739784970648877<31>
80115633235845640213674465539162586091513752294527401505984474995377329218272843595817173530487869922712978963111<113>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4249727100
Step 1 took 3893ms
Step 2 took 2784ms
********** Factor found in step 2: 1438993931062660739784970648877
Found probable prime factor of 31 digits: 1438993931062660739784970648877
Probable prime cofactor has 113 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 30, 2010 02:00:00 UTC 2010 年 3 月 30 日 (火) 11 時 0 分 0 秒 (日本時間)

25×10179+173

c148

name 名前Ben Meekins
date 日付November 9, 2013 20:28:42 UTC 2013 年 11 月 10 日 (日) 5 時 28 分 42 秒 (日本時間)
composite number 合成数
5135671380729168885066808494925220362132925031545027813957261710995216793833095064567612266541184209569333479886350506930202165984355570986302503119<148>
prime factors 素因数
118991429693284618327319975404083362398829069578640827078248839648833<69>
43160010716460908528984617600677935394063505745340017908075452376290644861840143<80>
factorization results 素因数分解の結果
Number: 83339_179
N = 5135671380729168885066808494925220362132925031545027813957261710995216793833095064567612266541184209569333479886350506930202165984355570986302503119 (148 digits)
SNFS difficulty: 181 digits.
Divisors found:
r1=118991429693284618327319975404083362398829069578640827078248839648833 (pp69)
r2=43160010716460908528984617600677935394063505745340017908075452376290644861840143 (pp80)
Version: Msieve v. 1.52 (SVN 945M)
Total time: 64.59 hours.
Factorization parameters were as follows:
n: 5135671380729168885066808494925220362132925031545027813957261710995216793833095064567612266541184209569333479886350506930202165984355570986302503119
m: 500000000000000000000000000000000000
deg: 5
c5: 80
c0: 17
skew: 0.73
# Murphy_E = 1.004e-10
type: snfs
lss: 1
rlim: 7100000
alim: 7100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 200000
Factor base limits: 7100000/7100000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 18939412
Relations: 2419408 relations
Pruned matrix : 1437550 x 1437775
Polynomial selection time: 0.00 hours.
Total sieving time: 61.35 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.83 hours.
time per square root: 0.28 hours.
Prototype def-par.txt line would be: snfs,181,5,0,0,0,0,0,0,0,0,7100000,7100000,28,28,53,53,2.5,2.5,200000
total time: 64.59 hours.
x86 Family 16 Model 4 Stepping 3, AuthenticAMD
Windows-XP-5.1.2600-SP3
processors: 4, speed: 3.20GHz
software ソフトウェア
MSieve 1.52 (SVN 945) called via factmsieve.py

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMarch 30, 2010 02:00:00 UTC 2010 年 3 月 30 日 (火) 11 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 18, 2010 06:45:33 UTC 2010 年 11 月 18 日 (木) 15 時 45 分 33 秒 (日本時間)
403e61983110Ignacio SantosNovember 18, 2010 06:45:33 UTC 2010 年 11 月 18 日 (木) 15 時 45 分 33 秒 (日本時間)
1873Wataru SakaiJune 29, 2012 00:22:20 UTC 2012 年 6 月 29 日 (金) 9 時 22 分 20 秒 (日本時間)
4511e6882 / 397032Ignacio SantosNovember 18, 2010 06:45:33 UTC 2010 年 11 月 18 日 (木) 15 時 45 分 33 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:05:20 UTC 2013 年 11 月 9 日 (土) 2 時 5 分 20 秒 (日本時間)
5043e615 / 7278Markus TervoorenJune 22, 2012 07:11:47 UTC 2012 年 6 月 22 日 (金) 16 時 11 分 47 秒 (日本時間)

25×10180+173

c154

name 名前Dmitry Domanov
date 日付January 13, 2014 08:06:32 UTC 2014 年 1 月 13 日 (月) 17 時 6 分 32 秒 (日本時間)
composite number 合成数
2535544531715001395176483787399853259456783743831763129680044345110196444492544038429446772955941091577470205406231897867917501774780810613882509925215039<154>
prime factors 素因数
28114453805906007739262546707725909763039834502049457<53>
90186512219645510453778090576267357380884996484415710708099690740360783554577835137263023957069862127<101>
factorization results 素因数分解の結果
N=2535544531715001395176483787399853259456783743831763129680044345110196444492544038429446772955941091577470205406231897867917501774780810613882509925215039
  ( 154 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=28114453805906007739262546707725909763039834502049457 (pp53)
 r2=90186512219645510453778090576267357380884996484415710708099690740360783554577835137263023957069862127 (pp101)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 119.95 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2535544531715001395176483787399853259456783743831763129680044345110196444492544038429446772955941091577470205406231897867917501774780810613882509925215039
m: 1000000000000000000000000000000000000
deg: 5
c5: 25
c0: 17
skew: 0.93
# Murphy_E = 9.682e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3700000, 9700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1365057 x 1365282
Total sieving time: 117.68 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 1.78 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 119.95 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
351e6418118Makoto KamadaMarch 30, 2010 02:00:00 UTC 2010 年 3 月 30 日 (火) 11 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 18, 2010 06:46:00 UTC 2010 年 11 月 18 日 (木) 15 時 46 分 0 秒 (日本時間)
403e6110Ignacio SantosNovember 18, 2010 06:46:00 UTC 2010 年 11 月 18 日 (木) 15 時 46 分 0 秒 (日本時間)
4511e61482 / 443732Ignacio SantosNovember 18, 2010 06:46:00 UTC 2010 年 11 月 18 日 (木) 15 時 46 分 0 秒 (日本時間)
600Rich DickersonJune 12, 2013 05:18:58 UTC 2013 年 6 月 12 日 (水) 14 時 18 分 58 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:05:33 UTC 2013 年 11 月 9 日 (土) 2 時 5 分 33 秒 (日本時間)

25×10182+173

c164

name 名前Dmitry Domanov
date 日付January 21, 2014 06:25:50 UTC 2014 年 1 月 21 日 (火) 15 時 25 分 50 秒 (日本時間)
composite number 合成数
26604059171526643150306696138138545962668913828119218187421105994947695395232150559565613513181061042503994386164474457690373411128400383533392497810731964936333927<164>
prime factors 素因数
31635762106139239498473581267522097493034508142461984613255535308571<68>
840948894553858605500891431205197681842965263276089786368693662144582997941315636027501472860837<96>
factorization results 素因数分解の結果
N=26604059171526643150306696138138545962668913828119218187421105994947695395232150559565613513181061042503994386164474457690373411128400383533392497810731964936333927
  ( 164 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=31635762106139239498473581267522097493034508142461984613255535308571 (pp68)
 r2=840948894553858605500891431205197681842965263276089786368693662144582997941315636027501472860837 (pp96)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 137.30 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 26604059171526643150306696138138545962668913828119218187421105994947695395232150559565613513181061042503994386164474457690373411128400383533392497810731964936333927
m: 5000000000000000000000000000000000000
deg: 5
c5: 4
c0: 85
skew: 1.84
# Murphy_E = 7.76e-11
type: snfs
lss: 1
rlim: 8200000
alim: 8200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 8200000/8200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4100000, 10700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1505820 x 1506046
Total sieving time: 134.73 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 2.18 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8200000,8200000,28,28,54,54,2.5,2.5,100000
total time: 137.30 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
351e6418118Makoto KamadaMarch 30, 2010 02:00:00 UTC 2010 年 3 月 30 日 (火) 11 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 18, 2010 06:46:42 UTC 2010 年 11 月 18 日 (木) 15 時 46 分 42 秒 (日本時間)
403e6110Ignacio SantosNovember 18, 2010 06:46:42 UTC 2010 年 11 月 18 日 (木) 15 時 46 分 42 秒 (日本時間)
4511e6632 / 443732Ignacio SantosNovember 18, 2010 06:46:42 UTC 2010 年 11 月 18 日 (木) 15 時 46 分 42 秒 (日本時間)
600Rich DickersonNovember 9, 2013 05:20:26 UTC 2013 年 11 月 9 日 (土) 14 時 20 分 26 秒 (日本時間)

25×10184+173

c167

name 名前Ignacio Santos
date 日付November 18, 2010 06:44:26 UTC 2010 年 11 月 18 日 (木) 15 時 44 分 26 秒 (日本時間)
composite number 合成数
49450457880899979954641832876407321181838252335343507305355777996783705894946086481135684795963062570157052551684503753784252396393778313391467987584393939517265643101<167>
prime factors 素因数
12467350163307118392561347945203<32>
3966396807112910681385892898015002923737742702151271918859886220555059726067417034834344594102217169248248419445446450149862035317171567<136>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2504361957
Step 1 took 7863ms
********** Factor found in step 1: 12467350163307118392561347945203
Found probable prime factor of 32 digits: 12467350163307118392561347945203
Probable prime cofactor 3966396807112910681385892898015002923737742702151271918859886220555059726067417034834344594102217169248248419445446450149862035317171567 has 136 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 30, 2010 02:00:00 UTC 2010 年 3 月 30 日 (火) 11 時 0 分 0 秒 (日本時間)

25×10185+173

c185

name 名前Dmitry Domanov
date 日付April 4, 2010 15:06:56 UTC 2010 年 4 月 5 日 (月) 0 時 6 分 56 秒 (日本時間)
composite number 合成数
64102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564103<185>
prime factors 素因数
122142206993318398093545645936518944223382559057<48>
524819107829537867409912427198766775402523963293753002713601326857858464804258944391331048184505062224270358757443794493260354670756529879<138>
factorization results 素因数分解の結果
N=64102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564103
  ( 185 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=122142206993318398093545645936518944223382559057 (pp48)
 r2=524819107829537867409912427198766775402523963293753002713601326857858464804258944391331048184505062224270358757443794493260354670756529879 (pp138)
Version: Msieve-1.40
Total time: 224.51 hours.
Scaled time: 423.88 units (timescale=1.888).
Factorization parameters were as follows:
n: 64102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564103
m: 10000000000000000000000000000000000000
deg: 5
c5: 25
c0: 17
skew: 0.93
type: snfs
lss: 1
rlim: 8900000
alim: 8900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 300000Factor base limits: 8900000/8900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4450000, 8050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1562282 x 1562507
Total sieving time: 220.88 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 3.11 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,8900000,8900000,28,28,54,54,2.5,2.5,100000
total time: 224.51 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 KamadaMarch 30, 2010 02:00:00 UTC 2010 年 3 月 30 日 (火) 11 時 0 分 0 秒 (日本時間)

25×10186+173

c128

name 名前Serge Batalov
date 日付March 30, 2010 03:48:44 UTC 2010 年 3 月 30 日 (火) 12 時 48 分 44 秒 (日本時間)
composite number 合成数
16034065534839130683196275891566764019122295619693260475143565717116529347310294365120253210895839505505454555216020793437633821<128>
prime factors 素因数
1907693506387512537720111239839<31>
8404948426543581151667303933359216903190492282209866840250631339770323455644353303118276484575939<97>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4165726057
Step 1 took 2540ms
Step 2 took 2016ms
********** Factor found in step 2: 1907693506387512537720111239839
Found probable prime factor of 31 digits: 1907693506387512537720111239839
Probable prime cofactor has 97 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 30, 2010 02:00:00 UTC 2010 年 3 月 30 日 (火) 11 時 0 分 0 秒 (日本時間)

25×10187+173

c159

composite cofactor 合成数の残り
150678989531718668156169696706853934839707864684016841261298985687328799068941765109955476017858266709879994062175140788007046502833711910872018504750965867873<159>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMarch 30, 2010 02:00:00 UTC 2010 年 3 月 30 日 (火) 11 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 18, 2010 07:38:47 UTC 2010 年 11 月 18 日 (木) 16 時 38 分 47 秒 (日本時間)
403e61910110Ignacio SantosNovember 18, 2010 07:38:47 UTC 2010 年 11 月 18 日 (木) 16 時 38 分 47 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:06:35 UTC 2014 年 1 月 9 日 (木) 14 時 6 分 35 秒 (日本時間)
1500Dmitry DomanovFebruary 21, 2014 09:39:43 UTC 2014 年 2 月 21 日 (金) 18 時 39 分 43 秒 (日本時間)
4511e6403932Ignacio SantosNovember 18, 2010 07:38:47 UTC 2010 年 11 月 18 日 (木) 16 時 38 分 47 秒 (日本時間)
1000Dmitry DomanovMarch 24, 2014 12:12:52 UTC 2014 年 3 月 24 日 (月) 21 時 12 分 52 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:18 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 18 秒 (日本時間)
2707Jo Yeong UkFebruary 23, 2018 06:51:55 UTC 2018 年 2 月 23 日 (金) 15 時 51 分 55 秒 (日本時間)

25×10188+173

c179

name 名前matsui
date 日付November 15, 2010 06:12:09 UTC 2010 年 11 月 15 日 (月) 15 時 12 分 9 秒 (日本時間)
composite number 合成数
45901102489663033024698486176901061092138033914456014090101915740489170619326869544156756886104872625103127698419152680379357049032859232759807766082158074560351194349752056656379<179>
prime factors 素因数
15636236458394257160948440916956758298678986882086351355630130634861907691709<77>
2935559500638095790952107357673601285169227748123954915816527892248016210459100081907460315685346532631<103>
factorization results 素因数分解の結果
N=45901102489663033024698486176901061092138033914456014090101915740489170619326869544156756886104872625103127698419152680379357049032859232759807766082158074560351194349752056656379
  ( 179 digits)
SNFS difficulty: 189 digits.
Divisors found:
 r1=15636236458394257160948440916956758298678986882086351355630130634861907691709 (pp77)
 r2=2935559500638095790952107357673601285169227748123954915816527892248016210459100081907460315685346532631 (pp103)
Version: Msieve v. 1.48
Total time:
Scaled time: 54.97 units (timescale=0.626).
Factorization parameters were as follows:
n: 45901102489663033024698486176901061092138033914456014090101915740489170619326869544156756886104872625103127698419152680379357049032859232759807766082158074560351194349752056656379
m: 50000000000000000000000000000000000000
deg: 5
c5: 8
c0: 17
skew: 1.16
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 1000000
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5000000, 13000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1636929 x 1637155
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,189.000,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,54,54,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 30, 2010 02:00:00 UTC 2010 年 3 月 30 日 (火) 11 時 0 分 0 秒 (日本時間)

25×10189+173

c162

composite cofactor 合成数の残り
965198393379971553723588651055887121664440998492763489232092979538657578015784222446562897812766823671992341104643620090499637878792557700232245322530063066581973<162>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMarch 30, 2010 02:00:00 UTC 2010 年 3 月 30 日 (火) 11 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 18, 2010 15:58:52 UTC 2010 年 11 月 19 日 (金) 0 時 58 分 52 秒 (日本時間)
403e61910110Ignacio SantosNovember 18, 2010 15:58:52 UTC 2010 年 11 月 19 日 (金) 0 時 58 分 52 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:06:36 UTC 2014 年 1 月 9 日 (木) 14 時 6 分 36 秒 (日本時間)
1500Dmitry DomanovFebruary 21, 2014 09:39:54 UTC 2014 年 2 月 21 日 (金) 18 時 39 分 54 秒 (日本時間)
4511e61332 / 403932Ignacio SantosNovember 18, 2010 15:58:52 UTC 2010 年 11 月 19 日 (金) 0 時 58 分 52 秒 (日本時間)
1000Dmitry DomanovMarch 24, 2014 12:13:06 UTC 2014 年 3 月 24 日 (月) 21 時 13 分 6 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:18 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 18 秒 (日本時間)

25×10190+173

c189

name 名前Robert Backstrom
date 日付April 5, 2010 13:32:06 UTC 2010 年 4 月 5 日 (月) 22 時 32 分 6 秒 (日本時間)
composite number 合成数
115901715345387111729253592953175707000463606861381548446917014371812702828001854427445526193787668057487250811312007417709782104775150672229949003245248029670839128419100602688919796012981<189>
prime factors 素因数
8992942500280432079146252570449139826628515297222712801402607<61>
12888074769940192781764912198924892467053113015679954963253628417771176808789699897382197216149433543324836173947769373829673883<128>
factorization results 素因数分解の結果
Number: n
N=115901715345387111729253592953175707000463606861381548446917014371812702828001854427445526193787668057487250811312007417709782104775150672229949003245248029670839128419100602688919796012981
  ( 189 digits)
SNFS difficulty: 191 digits.
Divisors found:

Mon Apr  5 23:17:51 2010  prp61 factor: 8992942500280432079146252570449139826628515297222712801402607
Mon Apr  5 23:17:51 2010  prp128 factor: 12888074769940192781764912198924892467053113015679954963253628417771176808789699897382197216149433543324836173947769373829673883
Mon Apr  5 23:17:51 2010  elapsed time 02:13:47 (Msieve 1.42 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.074).
Factorization parameters were as follows:
name: KA_8_3_189_9
n: 115901715345387111729253592953175707000463606861381548446917014371812702828001854427445526193787668057487250811312007417709782104775150672229949003245248029670839128419100602688919796012981
m: 100000000000000000000000000000000000000
deg: 5
c5: 25
c0: 17
skew: 0.93
type: snfs
lss: 1
rlim: 10800000
alim: 10800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 10800000/10800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 9600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5112871 hash collisions in 40296176 relations
Msieve: matrix is 1262983 x 1263208 (354.3 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,191,5,0,0,0,0,0,0,0,0,10800000,10800000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6060216k/7077888k available (3972k kernel code, 787972k absent, 229700k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.79 BogoMIPS (lpj=2798398)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44762.55 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6528118Makoto KamadaMarch 30, 2010 02:00:00 UTC 2010 年 3 月 30 日 (火) 11 時 0 分 0 秒 (日本時間)
410Ignacio SantosApril 2, 2010 10:06:22 UTC 2010 年 4 月 2 日 (金) 19 時 6 分 22 秒 (日本時間)
403e6150 / 2206Ignacio SantosApril 2, 2010 10:06:22 UTC 2010 年 4 月 2 日 (金) 19 時 6 分 22 秒 (日本時間)

25×10191+173

c189

name 名前Robert Backstrom
date 日付April 6, 2010 21:32:18 UTC 2010 年 4 月 7 日 (水) 6 時 32 分 18 秒 (日本時間)
composite number 合成数
193663335657293361220853667983577349136261522968471608954992640793245022852273607560616624060732822062127198078859710279649856689131613602912696568285692152761639166473003331009373305445813<189>
prime factors 素因数
3118682718639616888078149968631319134944509675905620826905557<61>
62097799978117094129596226215544816206310770251979490296741370181855447104357632624828679940344634895321620258894922851504589409<128>
factorization results 素因数分解の結果
Number: n
N=193663335657293361220853667983577349136261522968471608954992640793245022852273607560616624060732822062127198078859710279649856689131613602912696568285692152761639166473003331009373305445813
  ( 189 digits)
SNFS difficulty: 192 digits.
Divisors found:

Wed Apr  7 06:01:49 2010  prp61 factor: 3118682718639616888078149968631319134944509675905620826905557
Wed Apr  7 06:01:49 2010  prp128 factor: 62097799978117094129596226215544816206310770251979490296741370181855447104357632624828679940344634895321620258894922851504589409
Wed Apr  7 06:01:49 2010  elapsed time 02:58:26 (Msieve 1.42 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.072).
Factorization parameters were as follows:
name: KA_8_3_190_9
n: 193663335657293361220853667983577349136261522968471608954992640793245022852273607560616624060732822062127198078859710279649856689131613602912696568285692152761639166473003331009373305445813
m: 100000000000000000000000000000000000000
deg: 5
c5: 250
c0: 17
skew: 0.58
type: snfs
lss: 1
rlim: 11300000
alim: 11300000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 11300000/11300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 12550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4179203 hash collisions in 31432929 relations
Msieve: matrix is 1480077 x 1480303 (417.5 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11300000,11300000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6060216k/7077888k available (3972k kernel code, 787972k absent, 229700k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.79 BogoMIPS (lpj=2798398)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44762.55 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6528118Makoto KamadaMarch 30, 2010 02:00:00 UTC 2010 年 3 月 30 日 (火) 11 時 0 分 0 秒 (日本時間)
410Ignacio SantosApril 2, 2010 13:13:24 UTC 2010 年 4 月 2 日 (金) 22 時 13 分 24 秒 (日本時間)
403e6150Ignacio SantosApril 2, 2010 13:13:24 UTC 2010 年 4 月 2 日 (金) 22 時 13 分 24 秒 (日本時間)
4511e6700 / 4423Dmitry DomanovApril 4, 2010 15:46:29 UTC 2010 年 4 月 5 日 (月) 0 時 46 分 29 秒 (日本時間)

25×10192+173

c142

name 名前Serge Batalov
date 日付January 9, 2014 08:21:21 UTC 2014 年 1 月 9 日 (木) 17 時 21 分 21 秒 (日本時間)
composite number 合成数
1237710043136386610408180708135401268258100372389113421667870687256334908235477756985279480491428036442897856161218394563344967645217461177723<142>
prime factors 素因数
124491066185092946668939381912663709<36>
65739042067650550484207660411352070429435428420173<50>
151236757365344682346079904479795311867280443289440288339<57>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2279037538
Step 1 took 10415ms
Step 2 took 4992ms
********** Factor found in step 2: 124491066185092946668939381912663709
Found probable prime factor of 36 digits: 124491066185092946668939381912663709

Divisors found:
 r1=65739042067650550484207660411352070429435428420173 (pp50)
 r2=151236757365344682346079904479795311867280443289440288339 (pp57)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 6.37 hours.
Scaled time: 15.30 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  9942159554615453306437720528313715039759227982228360679058083776015345603089440422885855531555868364262647
skew:  21902590.93
Y0:  -113456997141557023673152210
Y1:  38787738596077
c0:  661990396318885908117696263367
c1:  -860395478854527027291910
c2:  -5816138867076929
c3:  1753218872
c4:  60
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2450001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 341175 x 341408
Total sieving time: 6.02 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
gnfs,105,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 6.37 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMarch 30, 2010 02:00:00 UTC 2010 年 3 月 30 日 (火) 11 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 18, 2010 12:58:31 UTC 2010 年 11 月 18 日 (木) 21 時 58 分 31 秒 (日本時間)
403e6410 / 2126110Ignacio SantosNovember 18, 2010 12:58:31 UTC 2010 年 11 月 18 日 (木) 21 時 58 分 31 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:06:36 UTC 2014 年 1 月 9 日 (木) 14 時 6 分 36 秒 (日本時間)
4511e632 / 4371Ignacio SantosNovember 18, 2010 12:58:31 UTC 2010 年 11 月 18 日 (木) 21 時 58 分 31 秒 (日本時間)

25×10195+173

c196

name 名前Serge Batalov
date 日付March 30, 2010 03:32:36 UTC 2010 年 3 月 30 日 (火) 12 時 32 分 36 秒 (日本時間)
composite number 合成数
8333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333339<196>
prime factors 素因数
5309172696434463725757251375171591<34>
composite cofactor 合成数の残り
1569610523110283564502655089934217028799349112926788517864420809663031166593709824887398451376693828389079509126364547307108115291372182995957328665600436621929229<163>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=2028258286
Step 1 took 9560ms
Step 2 took 4708ms
********** Factor found in step 2: 5309172696434463725757251375171591
Found probable prime factor of 34 digits: 5309172696434463725757251375171591
Composite cofactor has 163 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMarch 30, 2010 02:00:00 UTC 2010 年 3 月 30 日 (火) 11 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 18, 2010 12:58:59 UTC 2010 年 11 月 18 日 (木) 21 時 58 分 59 秒 (日本時間)
403e61910110Ignacio SantosNovember 18, 2010 12:58:59 UTC 2010 年 11 月 18 日 (木) 21 時 58 分 59 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:06:37 UTC 2014 年 1 月 9 日 (木) 14 時 6 分 37 秒 (日本時間)
1500Dmitry DomanovFebruary 21, 2014 09:40:07 UTC 2014 年 2 月 21 日 (金) 18 時 40 分 7 秒 (日本時間)
4511e61332 / 403932Ignacio SantosNovember 18, 2010 12:58:59 UTC 2010 年 11 月 18 日 (木) 21 時 58 分 59 秒 (日本時間)
1000Dmitry DomanovMarch 24, 2014 12:13:20 UTC 2014 年 3 月 24 日 (月) 21 時 13 分 20 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:19 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 19 秒 (日本時間)

25×10196+173

c126

name 名前Dmitry Domanov
date 日付April 2, 2010 04:53:25 UTC 2010 年 4 月 2 日 (金) 13 時 53 分 25 秒 (日本時間)
composite number 合成数
966623264941488931682596138296862696977856008665174026947047360102078243669439979703212753550645577504186373737090317414772697<126>
prime factors 素因数
15307522290255406378403445045118666431438300991<47>
63146944790459671393783908230455576685713605348187852082553267904773339382299367<80>
factorization results 素因数分解の結果
Factor=15307522290255406378403445045118666431438300991  Method=ECM  B1=11000000  Sigma=1482299110

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6528118Makoto KamadaMarch 30, 2010 02:00:00 UTC 2010 年 3 月 30 日 (火) 11 時 0 分 0 秒 (日本時間)
410Ignacio SantosApril 1, 2010 16:51:04 UTC 2010 年 4 月 2 日 (金) 1 時 51 分 4 秒 (日本時間)
403e6150 / 2206Ignacio SantosApril 1, 2010 16:51:04 UTC 2010 年 4 月 2 日 (金) 1 時 51 分 4 秒 (日本時間)

25×10198+173

c129

name 名前Ignacio Santos
date 日付April 1, 2010 19:14:47 UTC 2010 年 4 月 2 日 (金) 4 時 14 分 47 秒 (日本時間)
composite number 合成数
786064550504282175891889824221696353028409634543982976404456952211785462380136993279023829140866498661211619021155429575002948559<129>
prime factors 素因数
1447534463384887028553754467153091<34>
543036846712556879252340921287966118022204886628659523944290413956787802901730861477611056518149<96>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1727136999
Step 1 took 73134ms
Step 2 took 51355ms
********** Factor found in step 2: 1447534463384887028553754467153091
Found probable prime factor of 34 digits: 1447534463384887028553754467153091
Probable prime cofactor 543036846712556879252340921287966118022204886628659523944290413956787802901730861477611056518149 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 KamadaMarch 30, 2010 02:00:00 UTC 2010 年 3 月 30 日 (火) 11 時 0 分 0 秒 (日本時間)

25×10199+173

c197

name 名前Robert Backstrom
date 日付April 18, 2010 00:43:48 UTC 2010 年 4 月 18 日 (日) 9 時 43 分 48 秒 (日本時間)
composite number 合成数
41315485043794414146422078995207403734919847959015038836555941166749297636754255494959510824657081474136506362584696744339778549000165261940175177656585688315980829614939679391836060155346223764667<197>
prime factors 素因数
58140101426539865225915337178377783989294549138403977988494680441391885345702310735287<86>
710619418096416848753978839823570709744439201400527371875399397861810551179563115210448192832752433895289491741<111>
factorization results 素因数分解の結果
Number: n
N=41315485043794414146422078995207403734919847959015038836555941166749297636754255494959510824657081474136506362584696744339778549000165261940175177656585688315980829614939679391836060155346223764667
  ( 197 digits)
SNFS difficulty: 200 digits.
Divisors found:

Sun Apr 18 02:43:38 2010  prp86 factor: 58140101426539865225915337178377783989294549138403977988494680441391885345702310735287
Sun Apr 18 02:43:38 2010  prp111 factor: 710619418096416848753978839823570709744439201400527371875399397861810551179563115210448192832752433895289491741
Sun Apr 18 02:43:38 2010  elapsed time 05:25:00 (Msieve 1.42 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.073).
Factorization parameters were as follows:
name: KA_8_3_198_9
n: 41315485043794414146422078995207403734919847959015038836555941166749297636754255494959510824657081474136506362584696744339778549000165261940175177656585688315980829614939679391836060155346223764667
m: 10000000000000000000000000000000000000000
deg: 5
c5: 5
c0: 34
skew: 1.47
type: snfs
lss: 1
rlim: 14800000
alim: 14800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 14800000/14800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 19700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5109973 hash collisions in 32713971 relations
Msieve: matrix is 2027604 x 2027829 (573.2 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,200,5,0,0,0,0,0,0,0,0,14800000,14800000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6060216k/7077888k available (3972k kernel code, 787972k absent, 229700k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.79 BogoMIPS (lpj=2798398)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44762.55 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6528118Makoto KamadaMarch 30, 2010 02:00:00 UTC 2010 年 3 月 30 日 (火) 11 時 0 分 0 秒 (日本時間)
410Ignacio SantosApril 2, 2010 15:05:45 UTC 2010 年 4 月 3 日 (土) 0 時 5 分 45 秒 (日本時間)
403e6150Ignacio SantosApril 2, 2010 15:05:45 UTC 2010 年 4 月 3 日 (土) 0 時 5 分 45 秒 (日本時間)
4511e6800 / 4423Dmitry DomanovApril 4, 2010 15:49:33 UTC 2010 年 4 月 5 日 (月) 0 時 49 分 33 秒 (日本時間)

25×10201+173

c184

name 名前Dmitry Domanov
date 日付February 24, 2014 06:13:28 UTC 2014 年 2 月 24 日 (月) 15 時 13 分 28 秒 (日本時間)
composite number 合成数
2441905846712207147588223309079554285523672100137114559198991183050390778199388841334928670551305404478810784461944416682183415610844045112254100925674049913809103629372883297849185251<184>
prime factors 素因数
60355932307157926850033159369570353709<38>
composite cofactor 合成数の残り
40458423113822213536941638873048793751943159469474842939403951714430353380735137665802204352540156593034146918347007269008239487857621648705423439<146>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=225783649
Step 1 took 22749ms
Step 2 took 9286ms
********** Factor found in step 2: 60355932307157926850033159369570353709
Found probable prime factor of 38 digits: 60355932307157926850033159369570353709

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 4, 2014 21:21:02 UTC 2014 年 1 月 5 日 (日) 6 時 21 分 2 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:06:37 UTC 2014 年 1 月 9 日 (木) 14 時 6 分 37 秒 (日本時間)
1500Dmitry DomanovFebruary 21, 2014 09:40:19 UTC 2014 年 2 月 21 日 (金) 18 時 40 分 19 秒 (日本時間)
4511e61800 / 40131500Dmitry DomanovMarch 24, 2014 12:13:34 UTC 2014 年 3 月 24 日 (月) 21 時 13 分 34 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:19 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 19 秒 (日本時間)

25×10203+173

c185

name 名前Serge Batalov
date 日付November 26, 2013 23:30:58 UTC 2013 年 11 月 27 日 (水) 8 時 30 分 58 秒 (日本時間)
composite number 合成数
28499370549287549687979034903656342306578322510879291585287603430287692118750100278348570144209402532383281982220500597490752392996237827564076511060876491789129246508202314419779468849<185>
prime factors 素因数
1263277170504638964962189571885479<34>
composite cofactor 合成数の残り
22559871431780057830828587529458016428800012732965994983825951551658352557386433435983154423388029350330189589780105613864384359423608609359243979261031<152>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3719452824
Step 1 took 5000ms
Step 2 took 2773ms
********** Factor found in step 2: 1263277170504638964962189571885479
Found probable prime factor of 34 digits: 1263277170504638964962189571885479
Composite cofactor 

c152

name 名前Cyp
date 日付January 3, 2014 22:00:55 UTC 2014 年 1 月 4 日 (土) 7 時 0 分 55 秒 (日本時間)
composite number 合成数
22559871431780057830828587529458016428800012732965994983825951551658352557386433435983154423388029350330189589780105613864384359423608609359243979261031<152>
prime factors 素因数
256426753586510567744271174036206147<36>
composite cofactor 合成数の残り
87977838178920925663306507881860624182906072789766341301935937228427509787831995163553189895555715501599388218440973<116>
factorization results 素因数分解の結果
Run 106 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2292526299
Step 1 took 11232ms
********** Factor found in step 1: 256426753586510567744271174036206147
Found probable prime factor of 36 digits: 256426753586510567744271174036206147
Composite cofactor 87977838178920925663306507881860624182906072789766341301935937228427509787831995163553189895555715501599388218440973 has 116 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c116

name 名前Ignacio Santos
date 日付January 4, 2014 19:08:31 UTC 2014 年 1 月 5 日 (日) 4 時 8 分 31 秒 (日本時間)
composite number 合成数
87977838178920925663306507881860624182906072789766341301935937228427509787831995163553189895555715501599388218440973<116>
prime factors 素因数
47913109381039588114214425397028030093557<41>
1836195548889506001735250866816802279517907682237664029145388354308367279289<76>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1727650256
Step 1 took 22656ms
Step 2 took 15140ms
********** Factor found in step 2: 47913109381039588114214425397028030093557
Found probable prime factor of 41 digits: 47913109381039588114214425397028030093557
Probable prime cofactor 1836195548889506001735250866816802279517907682237664029145388354308367279289 has 76 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
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6290 / 2318CypJanuary 3, 2014 22:00:54 UTC 2014 年 1 月 4 日 (土) 7 時 0 分 54 秒 (日本時間)

25×10205+173

c190

composite cofactor 合成数の残り
1686780051688293317381284425255977893377334920745417825093089874889347255586273018671439775738763661115967149373587152486336000537577098377785577469207676248266432414081319452097981879320081<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 4, 2014 05:10:36 UTC 2014 年 1 月 4 日 (土) 14 時 10 分 36 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:06:38 UTC 2014 年 1 月 9 日 (木) 14 時 6 分 38 秒 (日本時間)
1500Dmitry DomanovFebruary 21, 2014 09:40:29 UTC 2014 年 2 月 21 日 (金) 18 時 40 分 29 秒 (日本時間)
4511e61800 / 40131500Dmitry DomanovMarch 24, 2014 12:13:56 UTC 2014 年 3 月 24 日 (月) 21 時 13 分 56 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:20 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 20 秒 (日本時間)

25×10206+173

c180

composite cofactor 合成数の残り
594506484264148113490020191883425580500689536794760584073263100506934660880839441840978509605100262727444426558362242743886413328450700906118727949870284521655603832340014474923317<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 6, 2014 10:08:21 UTC 2014 年 1 月 6 日 (月) 19 時 8 分 21 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:06:39 UTC 2014 年 1 月 9 日 (木) 14 時 6 分 39 秒 (日本時間)
1500Dmitry DomanovFebruary 21, 2014 09:40:42 UTC 2014 年 2 月 21 日 (金) 18 時 40 分 42 秒 (日本時間)
4511e61800 / 40131500Dmitry DomanovMarch 24, 2014 12:14:17 UTC 2014 年 3 月 24 日 (月) 21 時 14 分 17 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:20 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 20 秒 (日本時間)

25×10207+173

c177

name 名前Dmitry Domanov
date 日付March 26, 2014 05:30:17 UTC 2014 年 3 月 26 日 (水) 14 時 30 分 17 秒 (日本時間)
composite number 合成数
186419895033689394134766484566229031243536726163073199791633496889419283604859633025051276040205488873844231311823507673466476476998329317861596691769692505847061049109443350147<177>
prime factors 素因数
6673698896226033154969477837419705789809093<43>
27933519017333786031493534231263648596064361123425389683292641773404713050326456523013975046530646410020216419819698556269480304032679<134>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2537371048
Step 1 took 92463ms
Step 2 took 29360ms
********** Factor found in step 2: 6673698896226033154969477837419705789809093
Found probable prime factor of 43 digits: 6673698896226033154969477837419705789809093

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 1, 2014 04:08:23 UTC 2014 年 1 月 1 日 (水) 13 時 8 分 23 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:06:40 UTC 2014 年 1 月 9 日 (木) 14 時 6 分 40 秒 (日本時間)
1500Dmitry DomanovFebruary 21, 2014 09:40:54 UTC 2014 年 2 月 21 日 (金) 18 時 40 分 54 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovMarch 24, 2014 12:14:36 UTC 2014 年 3 月 24 日 (月) 21 時 14 分 36 秒 (日本時間)

25×10209+173

c168

name 名前Cyp
date 日付January 2, 2014 03:23:51 UTC 2014 年 1 月 2 日 (木) 12 時 23 分 51 秒 (日本時間)
composite number 合成数
272960417842353742931220505166256819603047517435552671559842468779841698003382618498558826871620646183805575094814973108883443674824436156062090830334045062577547566969<168>
prime factors 素因数
4118258710434663673665588022177126046869<40>
composite cofactor 合成数の残り
66280541615984101013379988870870742308954269333095507000469812821034092733617521605547983872413178580399851383766550129602402901<128>
factorization results 素因数分解の結果
Run 39 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=631596126
Step 1 took 13529ms
Step 2 took 4976ms
********** Factor found in step 2: 4118258710434663673665588022177126046869
Found probable prime factor of 40 digits: 4118258710434663673665588022177126046869
Composite cofactor 66280541615984101013379988870870742308954269333095507000469812821034092733617521605547983872413178580399851383766550129602402901 has 128 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c128

name 名前Cyp
date 日付January 16, 2014 09:28:45 UTC 2014 年 1 月 16 日 (木) 18 時 28 分 45 秒 (日本時間)
composite number 合成数
66280541615984101013379988870870742308954269333095507000469812821034092733617521605547983872413178580399851383766550129602402901<128>
prime factors 素因数
2393764522485240700968088056930512607097998152990947246687<58>
27688831124947365724774291287202001165910722870959896585545324499429323<71>
factorization results 素因数分解の結果
01/15/14 20:52:59 v1.34.3, nfs: commencing nfs on c128: 66280541615984101013379988870870742308954269333095507000469812821034092733617521605547983872413178580399851383766550129602402901
01/15/14 20:52:59 v1.34.3, nfs: commencing poly selection with 8 threads
01/15/14 20:52:59 v1.34.3, nfs: setting deadline of 5505 seconds
01/15/14 22:30:07 v1.34.3, nfs: completed 654 ranges of size 250 in 5828.0080 seconds
01/15/14 22:30:07 v1.34.3, nfs: best poly = # norm 3.038535e-12 alpha -7.603766 e 1.010e-10 rroots 5
01/15/14 22:30:07 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/14 22:40:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
[60 lines snipped]
01/16/14 09:18:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/14 09:29:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/14 09:40:42 v1.34.3, nfs: commencing msieve filtering
01/16/14 09:45:12 v1.34.3, nfs: commencing msieve linear algebra
01/16/14 10:25:07 v1.34.3, nfs: commencing msieve sqrt
01/16/14 10:28:43 v1.34.3, prp58 = 2393764522485240700968088056930512607097998152990947246687
01/16/14 10:28:43 v1.34.3, prp71 = 27688831124947365724774291287202001165910722870959896585545324499429323
01/16/14 10:28:43 v1.34.3, NFS elapsed time = 48944.2513 seconds.
01/16/14 10:28:43 v1.34.3, 
01/16/14 10:28:43 v1.34.3, 
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6290CypJanuary 2, 2014 03:23:50 UTC 2014 年 1 月 2 日 (木) 12 時 23 分 50 秒 (日本時間)
4511e6690 / 3779230Ignacio SantosJanuary 4, 2014 15:01:40 UTC 2014 年 1 月 5 日 (日) 0 時 1 分 40 秒 (日本時間)
230Ignacio SantosJanuary 4, 2014 17:27:16 UTC 2014 年 1 月 5 日 (日) 2 時 27 分 16 秒 (日本時間)
230Ignacio SantosJanuary 4, 2014 20:54:45 UTC 2014 年 1 月 5 日 (日) 5 時 54 分 45 秒 (日本時間)
5043e6180 / 7387Ignacio SantosJanuary 5, 2014 15:51:09 UTC 2014 年 1 月 6 日 (月) 0 時 51 分 9 秒 (日本時間)

25×10210+173

c180

composite cofactor 合成数の残り
585247324791623588283288654236042016557216745721037328238299895215756327330712294633932013716941615983143791810774388266392582356103980971983493476242408004977913426174605644215213<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 2, 2014 18:35:39 UTC 2014 年 1 月 3 日 (金) 3 時 35 分 39 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:06:40 UTC 2014 年 1 月 9 日 (木) 14 時 6 分 40 秒 (日本時間)
1500Dmitry DomanovFebruary 21, 2014 09:41:07 UTC 2014 年 2 月 21 日 (金) 18 時 41 分 7 秒 (日本時間)
4511e61867 / 401367CypMarch 10, 2014 10:48:22 UTC 2014 年 3 月 10 日 (月) 19 時 48 分 22 秒 (日本時間)
1500Dmitry DomanovMarch 24, 2014 12:14:55 UTC 2014 年 3 月 24 日 (月) 21 時 14 分 55 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:20 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 20 秒 (日本時間)

25×10212+173

c189

composite cofactor 合成数の残り
343506003675473160822686454810298556284648015245206700869458700576050956204564816017226880597733668471858533155780092921155206843191567941843754887691816335701277592176017333595908029473037<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6590114CypDecember 31, 2013 22:01:10 UTC 2014 年 1 月 1 日 (水) 7 時 1 分 10 秒 (日本時間)
176CypJanuary 4, 2014 19:00:34 UTC 2014 年 1 月 5 日 (日) 4 時 0 分 34 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:06:41 UTC 2014 年 1 月 9 日 (木) 14 時 6 分 41 秒 (日本時間)
4511e61693 / 4208393CypFebruary 17, 2014 20:14:42 UTC 2014 年 2 月 18 日 (火) 5 時 14 分 42 秒 (日本時間)
1000Dmitry DomanovMarch 24, 2014 12:15:13 UTC 2014 年 3 月 24 日 (月) 21 時 15 分 13 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:21 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 21 秒 (日本時間)
5043e639 / 7151CypJanuary 22, 2014 21:27:12 UTC 2014 年 1 月 23 日 (木) 6 時 27 分 12 秒 (日本時間)

25×10213+173

c172

name 名前Serge Batalov
date 日付November 26, 2013 23:30:22 UTC 2013 年 11 月 27 日 (水) 8 時 30 分 22 秒 (日本時間)
composite number 合成数
2332932534468169162738211290563652032163131081637968309866629080851531769020107815181309652876069994167518340230333893210010119877538470959030247422596182283813932394771159<172>
prime factors 素因数
12426010109028744968025121369261447<35>
composite cofactor 合成数の残り
187745906690761441795116918230918022397002225495253179970572890706414836267180345205164634401107915884275977682153572791234849126516456497<138>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=769424645
Step 1 took 3645ms
Step 2 took 2073ms
********** Factor found in step 2: 12426010109028744968025121369261447
Found probable prime factor of 35 digits: 12426010109028744968025121369261447
Composite cofactor

c138

name 名前Erik Branger
date 日付May 22, 2014 06:00:25 UTC 2014 年 5 月 22 日 (木) 15 時 0 分 25 秒 (日本時間)
composite number 合成数
187745906690761441795116918230918022397002225495253179970572890706414836267180345205164634401107915884275977682153572791234849126516456497<138>
prime factors 素因数
12055966214707940411581728432839801363310820855997977756627<59>
15572862709395842950155224662968473495971598992316847498064128357697049837416811<80>
factorization results 素因数分解の結果
Number: 83339_213
N = 187745906690761441795116918230918022397002225495253179970572890706414836267180345205164634401107915884275977682153572791234849126516456497 (138 digits)
Divisors found:
r1=12055966214707940411581728432839801363310820855997977756627 (pp59)
r2=15572862709395842950155224662968473495971598992316847498064128357697049837416811 (pp80)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 125.17 hours.
Factorization parameters were as follows:
# Murphy_E = 2.932e-11, selected by Erik Branger
# expecting poly E from 3.01e-011 to > 3.46e-011
n: 187745906690761441795116918230918022397002225495253179970572890706414836267180345205164634401107915884275977682153572791234849126516456497
Y0: -464184621437245128072325728
Y1: 228726006060523
c0: -31705003703482489783470315227248765
c1: 110957532595772018126089358294
c2: 139301565250024919334391
c3: -107228709492538574
c4: -46000762434
c5: 8712
skew: 1784988.58
type: gnfs
# selected mechanically
rlim: 15400000
alim: 15400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 15400000/15400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23103133
Relations: 3356090 relations
Pruned matrix : 2097802 x 2098026
Polynomial selection time: 0.00 hours.
Total sieving time: 122.06 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 2.89 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: gnfs,137,5,65,2000,1e-05,0.28,250,20,50000,3600,15400000,15400000,28,28,55,55,2.6,2.6,100000
total time: 125.17 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 4, 2013 14:12:02 UTC 2013 年 12 月 4 日 (水) 23 時 12 分 2 秒 (日本時間)
403e6320110Ignacio SantosDecember 4, 2013 14:12:02 UTC 2013 年 12 月 4 日 (水) 23 時 12 分 2 秒 (日本時間)
210Serge BatalovDecember 4, 2013 17:31:30 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 30 秒 (日本時間)
4511e61462 / 439032Ignacio SantosDecember 4, 2013 14:12:02 UTC 2013 年 12 月 4 日 (水) 23 時 12 分 2 秒 (日本時間)
60Serge BatalovDecember 4, 2013 17:31:30 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 30 秒 (日本時間)
230Ignacio SantosDecember 22, 2013 20:03:35 UTC 2013 年 12 月 23 日 (月) 5 時 3 分 35 秒 (日本時間)
240Ignacio SantosDecember 24, 2013 17:44:44 UTC 2013 年 12 月 25 日 (水) 2 時 44 分 44 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:12 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 12 秒 (日本時間)
500Dmitry DomanovMarch 24, 2014 12:16:00 UTC 2014 年 3 月 24 日 (月) 21 時 16 分 0 秒 (日本時間)

25×10214+173

c179

name 名前Serge Batalov
date 日付May 27, 2014 02:16:37 UTC 2014 年 5 月 27 日 (火) 11 時 16 分 37 秒 (日本時間)
composite number 合成数
23618035454275737507906923482058595447197195924440428493260568094333848339645865259114847361766565254052058561433293897013175582874844330864262690105540260623892636276992163776671<179>
prime factors 素因数
10358775240624620152337994047945257565325614191<47>
2280002693914189210451795245499243618585460885180406147827870202279509800653590808133895486058051875459698734570918278740203386179281<133>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=387140942
Step 1 took 51621ms
********** Factor found in step 1: 10358775240624620152337994047945257565325614191
Found probable prime factor of 47 digits: 10358775240624620152337994047945257565325614191
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 3, 2014 15:31:11 UTC 2014 年 1 月 4 日 (土) 0 時 31 分 11 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:06:43 UTC 2014 年 1 月 9 日 (木) 14 時 6 分 43 秒 (日本時間)
1500Dmitry DomanovFebruary 21, 2014 09:41:39 UTC 2014 年 2 月 21 日 (金) 18 時 41 分 39 秒 (日本時間)
4511e61800 / 40131500Dmitry DomanovMarch 24, 2014 12:16:42 UTC 2014 年 3 月 24 日 (月) 21 時 16 分 42 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:21 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 21 秒 (日本時間)

25×10216+173

c161

composite cofactor 合成数の残り
52218426014647916064811160001216036926409007443418788409500302978232176583579505588313651846373041036097835745073437014248653122989454721214959310480874389223687<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 1, 2014 07:49:10 UTC 2014 年 1 月 1 日 (水) 16 時 49 分 10 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:06:44 UTC 2014 年 1 月 9 日 (木) 14 時 6 分 44 秒 (日本時間)
1500Dmitry DomanovFebruary 21, 2014 09:41:53 UTC 2014 年 2 月 21 日 (金) 18 時 41 分 53 秒 (日本時間)
4511e61800 / 40131500Dmitry DomanovMarch 24, 2014 12:17:10 UTC 2014 年 3 月 24 日 (月) 21 時 17 分 10 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:22 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 22 秒 (日本時間)

25×10217+173

c205

composite cofactor 合成数の残り
3741698376865558879372188420825608850231094766223529980631188503289115244033905036530059327501156224558000329153535247552465326017098843457892233288880258533169555755775297827645079853165375453599545190739<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 4, 2014 07:23:41 UTC 2014 年 1 月 4 日 (土) 16 時 23 分 41 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:06:45 UTC 2014 年 1 月 9 日 (木) 14 時 6 分 45 秒 (日本時間)
1500Dmitry DomanovFebruary 21, 2014 09:42:05 UTC 2014 年 2 月 21 日 (金) 18 時 42 分 5 秒 (日本時間)
4511e61300 / 38761000Dmitry DomanovMarch 24, 2014 12:17:34 UTC 2014 年 3 月 24 日 (月) 21 時 17 分 34 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:22 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 22 秒 (日本時間)
5043e639 / 7182CypJanuary 12, 2014 12:40:13 UTC 2014 年 1 月 12 日 (日) 21 時 40 分 13 秒 (日本時間)

25×10219+173

c185

composite cofactor 合成数の残り
69247468265510970897509694849956502894226023127778321606863733717638492870008399625256594979871041267618379284564724011538230777179649325341698603618471389140816035286222021015810213937<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6290CypJanuary 6, 2014 08:30:04 UTC 2014 年 1 月 6 日 (月) 17 時 30 分 4 秒 (日本時間)
4511e61898 / 4411598CypJanuary 7, 2014 20:51:49 UTC 2014 年 1 月 8 日 (水) 5 時 51 分 49 秒 (日本時間)
1000Dmitry DomanovMarch 24, 2014 12:17:57 UTC 2014 年 3 月 24 日 (月) 21 時 17 分 57 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:22 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 22 秒 (日本時間)

25×10220+173

c221

name 名前Alfred Reich
date 日付March 11, 2017 08:58:18 UTC 2017 年 3 月 11 日 (土) 17 時 58 分 18 秒 (日本時間)
composite number 合成数
83333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333339<221>
prime factors 素因数
6954816965344570766584171447105027674009286277186597368481<58>
11982103015590238601190979354324290748997955706446461457946838760907164274442063933327945333553012900820519256621353512990674084928520914317765905495348002898756219<164>
factorization results 素因数分解の結果
#
# siever: 14e
# qrange: 9M .. 70M
# params: rlim=alim: 34000000, lpbr=lpba: 29, mfbr=mfba: 58, rlambda=alambda: 2.6
#
# rels/specialq ~ 1
#
Fri Mar 10 18:46:47 2017  
Fri Mar 10 18:46:47 2017  
Fri Mar 10 18:46:47 2017  Msieve v. 1.53 (SVN 988)
Fri Mar 10 18:46:47 2017  random seeds: ec139300 adcee1e0
Fri Mar 10 18:46:47 2017  factoring 

833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333

33333333333333333333333333333333333333333339 (221 digits)
Fri Mar 10 18:46:49 2017  searching for 15-digit factors
Fri Mar 10 18:46:50 2017  commencing number field sieve (221-digit input)
Fri Mar 10 18:46:50 2017  R0: -5000000000000000000000000000000000000
Fri Mar 10 18:46:50 2017  R1: 1
Fri Mar 10 18:46:50 2017  A0: 17
Fri Mar 10 18:46:50 2017  A1: 0
Fri Mar 10 18:46:50 2017  A2: 0
Fri Mar 10 18:46:50 2017  A3: 0
Fri Mar 10 18:46:50 2017  A4: 0
Fri Mar 10 18:46:50 2017  A5: 0
Fri Mar 10 18:46:50 2017  A6: 16
Fri Mar 10 18:46:50 2017  skew 1.01, size 4.072e-011, alpha 1.260, combined = 1.784e-012 rroots = 0
Fri Mar 10 18:46:50 2017  
Fri Mar 10 18:46:50 2017  commencing relation filtering
Fri Mar 10 18:46:50 2017  setting target matrix density to 80.0
Fri Mar 10 18:46:50 2017  estimated available RAM is 130995.6 MB
Fri Mar 10 18:46:50 2017  commencing duplicate removal, pass 1
Fri Mar 10 18:47:03 2017  error -15 reading relation 1136905
Fri Mar 10 18:47:04 2017  error -15 reading relation 1189677
Fri Mar 10 18:47:04 2017  error -11 reading relation 1194385
Fri Mar 10 18:47:11 2017  error -9 reading relation 1813709
Fri Mar 10 18:47:18 2017  error -9 reading relation 2429898
Fri Mar 10 18:47:29 2017  error -15 reading relation 3411902
Fri Mar 10 18:54:57 2017  error -15 reading relation 40788054
Fri Mar 10 18:55:00 2017  error -9 reading relation 40971169
Fri Mar 10 18:55:05 2017  error -11 reading relation 41394015
Fri Mar 10 18:55:06 2017  error -15 reading relation 41471882
Fri Mar 10 18:55:10 2017  error -11 reading relation 41792266
Fri Mar 10 18:55:18 2017  error -9 reading relation 42535361
Fri Mar 10 18:55:19 2017  error -1 reading relation 42613067
Fri Mar 10 18:55:24 2017  error -1 reading relation 43019459
Fri Mar 10 18:55:25 2017  error -1 reading relation 43095330
Fri Mar 10 18:55:30 2017  error -5 reading relation 43569747
Fri Mar 10 18:55:30 2017  error -5 reading relation 43575474
Fri Mar 10 18:55:34 2017  error -1 reading relation 43922760
Fri Mar 10 18:55:34 2017  error -1 reading relation 43922761
Fri Mar 10 18:55:39 2017  error -11 reading relation 44337778
Fri Mar 10 18:55:40 2017  error -15 reading relation 44483049
Fri Mar 10 18:55:43 2017  error -9 reading relation 44754617
Fri Mar 10 18:55:48 2017  error -9 reading relation 45172620
Fri Mar 10 18:55:50 2017  error -11 reading relation 45316137
Fri Mar 10 18:55:52 2017  error -15 reading relation 45449302
Fri Mar 10 18:55:53 2017  error -1 reading relation 45590594
Fri Mar 10 18:55:58 2017  error -15 reading relation 45962206
Fri Mar 10 18:56:01 2017  error -15 reading relation 46202313
Fri Mar 10 18:56:01 2017  error -11 reading relation 46202314
Fri Mar 10 18:56:10 2017  error -15 reading relation 46997262
Fri Mar 10 18:56:11 2017  error -15 reading relation 47012939
Fri Mar 10 18:56:11 2017  error -9 reading relation 47045694
Fri Mar 10 18:56:12 2017  error -9 reading relation 47118293
Fri Mar 10 18:56:14 2017  error -11 reading relation 47276095
Fri Mar 10 18:56:14 2017  error -5 reading relation 47276486
Fri Mar 10 18:56:14 2017  error -15 reading relation 47277422
Fri Mar 10 18:56:14 2017  error -15 reading relation 47278556
Fri Mar 10 18:56:14 2017  error -15 reading relation 47279804
Fri Mar 10 18:56:14 2017  error -9 reading relation 47280156
Fri Mar 10 18:56:14 2017  error -15 reading relation 47280311
Fri Mar 10 18:56:23 2017  error -5 reading relation 48075570
Fri Mar 10 18:56:25 2017  error -15 reading relation 48206828
Fri Mar 10 18:56:51 2017  error -9 reading relation 50428232
Fri Mar 10 18:57:05 2017  error -15 reading relation 51559120
Fri Mar 10 18:57:05 2017  error -1 reading relation 51587523
Fri Mar 10 18:57:24 2017  skipped 3 relations with b > 2^32
Fri Mar 10 18:57:24 2017  skipped 46 relations with composite factors
Fri Mar 10 18:57:24 2017  found 10071739 hash collisions in 53139280 relations
Fri Mar 10 18:57:48 2017  added 1218320 free relations
Fri Mar 10 18:57:48 2017  commencing duplicate removal, pass 2
Fri Mar 10 18:58:29 2017  found 9884471 duplicates and 44473129 unique relations
Fri Mar 10 18:58:29 2017  memory use: 330.4 MB
Fri Mar 10 18:58:29 2017  reading ideals above 720000
Fri Mar 10 18:58:29 2017  commencing singleton removal, initial pass
Fri Mar 10 19:08:30 2017  memory use: 1378.0 MB
Fri Mar 10 19:08:30 2017  reading all ideals from disk
Fri Mar 10 19:08:31 2017  memory use: 1628.9 MB
Fri Mar 10 19:08:37 2017  keeping 46787372 ideals with weight <= 200, target excess is 236468
Fri Mar 10 19:08:44 2017  commencing in-memory singleton removal
Fri Mar 10 19:08:48 2017  begin with 44473129 relations and 46787372 unique ideals
Fri Mar 10 19:10:03 2017  reduce to 22712732 relations and 21984634 ideals in 17 passes
Fri Mar 10 19:10:03 2017  max relations containing the same ideal: 131
Fri Mar 10 19:10:20 2017  removing 2067790 relations and 1840892 ideals in 226898 cliques
Fri Mar 10 19:10:21 2017  commencing in-memory singleton removal
Fri Mar 10 19:10:23 2017  begin with 20644942 relations and 21984634 unique ideals
Fri Mar 10 19:10:58 2017  reduce to 20473616 relations and 19969861 ideals in 10 passes
Fri Mar 10 19:10:58 2017  max relations containing the same ideal: 121
Fri Mar 10 19:11:11 2017  removing 1512410 relations and 1285512 ideals in 226898 cliques
Fri Mar 10 19:11:12 2017  commencing in-memory singleton removal
Fri Mar 10 19:11:14 2017  begin with 18961206 relations and 19969861 unique ideals
Fri Mar 10 19:11:45 2017  reduce to 18864809 relations and 18586703 ideals in 10 passes
Fri Mar 10 19:11:45 2017  max relations containing the same ideal: 115
Fri Mar 10 19:12:00 2017  relations with 0 large ideals: 8515
Fri Mar 10 19:12:00 2017  relations with 1 large ideals: 2794
Fri Mar 10 19:12:00 2017  relations with 2 large ideals: 23041
Fri Mar 10 19:12:00 2017  relations with 3 large ideals: 190826
Fri Mar 10 19:12:00 2017  relations with 4 large ideals: 899237
Fri Mar 10 19:12:00 2017  relations with 5 large ideals: 2555032
Fri Mar 10 19:12:00 2017  relations with 6 large ideals: 4517237
Fri Mar 10 19:12:00 2017  relations with 7+ large ideals: 10668127
Fri Mar 10 19:12:00 2017  commencing 2-way merge
Fri Mar 10 19:12:19 2017  reduce to 11964109 relation sets and 11686003 unique ideals
Fri Mar 10 19:12:19 2017  commencing full merge
Fri Mar 10 19:17:20 2017  memory use: 1469.8 MB
Fri Mar 10 19:17:22 2017  found 6024115 cycles, need 5994203
Fri Mar 10 19:17:22 2017  weight of 5994203 cycles is about 479804997 (80.04/cycle)
Fri Mar 10 19:17:22 2017  distribution of cycle lengths:
Fri Mar 10 19:17:22 2017  1 relations: 694698
Fri Mar 10 19:17:22 2017  2 relations: 724317
Fri Mar 10 19:17:22 2017  3 relations: 708779
Fri Mar 10 19:17:22 2017  4 relations: 623547
Fri Mar 10 19:17:22 2017  5 relations: 548490
Fri Mar 10 19:17:22 2017  6 relations: 462670
Fri Mar 10 19:17:22 2017  7 relations: 390319
Fri Mar 10 19:17:22 2017  8 relations: 331902
Fri Mar 10 19:17:22 2017  9 relations: 279398
Fri Mar 10 19:17:22 2017  10+ relations: 1230083
Fri Mar 10 19:17:22 2017  heaviest cycle: 27 relations
Fri Mar 10 19:17:23 2017  commencing cycle optimization
Fri Mar 10 19:17:32 2017  start with 36798940 relations
Fri Mar 10 19:18:34 2017  pruned 1018294 relations
Fri Mar 10 19:18:34 2017  memory use: 1150.2 MB
Fri Mar 10 19:18:34 2017  distribution of cycle lengths:
Fri Mar 10 19:18:34 2017  1 relations: 694698
Fri Mar 10 19:18:34 2017  2 relations: 740639
Fri Mar 10 19:18:34 2017  3 relations: 735249
Fri Mar 10 19:18:34 2017  4 relations: 639718
Fri Mar 10 19:18:34 2017  5 relations: 562317
Fri Mar 10 19:18:34 2017  6 relations: 468161
Fri Mar 10 19:18:34 2017  7 relations: 393385
Fri Mar 10 19:18:34 2017  8 relations: 330888
Fri Mar 10 19:18:34 2017  9 relations: 276478
Fri Mar 10 19:18:34 2017  10+ relations: 1152670
Fri Mar 10 19:18:34 2017  heaviest cycle: 27 relations
Fri Mar 10 19:18:41 2017  RelProcTime: 1911
Fri Mar 10 19:18:41 2017  
Fri Mar 10 19:18:41 2017  commencing linear algebra
Fri Mar 10 19:18:42 2017  read 5994203 cycles
Fri Mar 10 19:18:51 2017  cycles contain 18578912 unique relations
Fri Mar 10 19:20:30 2017  read 18578912 relations
Fri Mar 10 19:20:54 2017  using 20 quadratic characters above 4294917295
Fri Mar 10 19:22:01 2017  building initial matrix
Fri Mar 10 19:24:27 2017  memory use: 2375.5 MB
Fri Mar 10 19:24:30 2017  read 5994203 cycles
Fri Mar 10 19:24:31 2017  matrix is 5994026 x 5994203 (1985.9 MB) with weight 576940690 (96.25/col)
Fri Mar 10 19:24:31 2017  sparse part has weight 460647152 (76.85/col)
Fri Mar 10 19:25:26 2017  filtering completed in 2 passes
Fri Mar 10 19:25:27 2017  matrix is 5991170 x 5991347 (1985.7 MB) with weight 576853147 (96.28/col)
Fri Mar 10 19:25:27 2017  sparse part has weight 460617738 (76.88/col)
Fri Mar 10 19:25:41 2017  matrix starts at (0, 0)
Fri Mar 10 19:25:42 2017  matrix is 5991170 x 5991347 (1985.7 MB) with weight 576853147 (96.28/col)
Fri Mar 10 19:25:42 2017  sparse part has weight 460617738 (76.88/col)
Fri Mar 10 19:25:42 2017  saving the first 48 matrix rows for later
Fri Mar 10 19:25:44 2017  matrix includes 64 packed rows
Fri Mar 10 19:25:44 2017  matrix is 5991122 x 5991347 (1910.3 MB) with weight 470344130 (78.50/col)
Fri Mar 10 19:25:44 2017  sparse part has weight 440849237 (73.58/col)
Fri Mar 10 19:25:44 2017  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Fri Mar 10 19:26:06 2017  commencing Lanczos iteration (32 threads)
Fri Mar 10 19:26:06 2017  memory use: 1583.9 MB
Fri Mar 10 19:26:12 2017  linear algebra at 0.0%, ETA 6h34m
Fri Mar 10 19:26:14 2017  checkpointing every 920000 dimensions
Sat Mar 11 02:04:11 2017  lanczos halted after 94743 iterations (dim = 5991122)
Sat Mar 11 02:04:17 2017  recovered 39 nontrivial dependencies
Sat Mar 11 02:04:20 2017  BLanczosTime: 24339
Sat Mar 11 02:04:20 2017  
Sat Mar 11 02:04:20 2017  commencing square root phase
Sat Mar 11 02:04:20 2017  handling dependencies 1 to 64
Sat Mar 11 02:04:20 2017  reading relations for dependency 1
Sat Mar 11 02:04:21 2017  read 2993838 cycles
Sat Mar 11 02:04:25 2017  cycles contain 9283288 unique relations
Sat Mar 11 02:05:18 2017  read 9283288 relations
Sat Mar 11 02:06:06 2017  multiplying 9283288 relations
Sat Mar 11 02:11:43 2017  multiply complete, coefficients have about 262.26 million bits
Sat Mar 11 02:11:44 2017  initial square root is modulo 2580307099
Sat Mar 11 02:18:08 2017  GCD is N, no factor found
Sat Mar 11 02:18:08 2017  reading relations for dependency 2
Sat Mar 11 02:18:09 2017  read 2994788 cycles
Sat Mar 11 02:18:14 2017  cycles contain 9289988 unique relations
Sat Mar 11 02:19:08 2017  read 9289988 relations
Sat Mar 11 02:19:40 2017  multiplying 9289988 relations
Sat Mar 11 02:25:25 2017  multiply complete, coefficients have about 262.45 million bits
Sat Mar 11 02:25:26 2017  initial square root is modulo 2621098321
Sat Mar 11 02:31:32 2017  sqrtTime: 1632
Sat Mar 11 02:31:32 2017  p58 factor: 6954816965344570766584171447105027674009286277186597368481
Sat Mar 11 02:31:32 2017  p164 factor: 

11982103015590238601190979354324290748997955706446461457946838760907164274442063933327945333553012900820519256621353512990674084928520914317765905495348002898756219
Sat Mar 11 02:31:32 2017  elapsed time 07:44:45

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:32:03 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 3 秒 (日本時間)
4511e656060Serge BatalovDecember 4, 2013 17:32:03 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 3 秒 (日本時間)
500Serge BatalovJanuary 4, 2014 22:39:28 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 28 秒 (日本時間)
5043e6500 / 3562Serge BatalovJanuary 4, 2014 23:01:24 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 24 秒 (日本時間)
5511e71600 / 17554Serge BatalovApril 23, 2014 02:56:54 UTC 2014 年 4 月 23 日 (水) 11 時 56 分 54 秒 (日本時間)

25×10222+173

c220

name 名前Serge Batalov
date 日付May 24, 2014 23:36:29 UTC 2014 年 5 月 25 日 (日) 8 時 36 分 29 秒 (日本時間)
composite number 合成数
3470776065528252117173399972233791475773983062612800222129668193808135499097598222962654449534916007219214216298764403720671942246286269609884770234624462029709843120921838123004303762321255032625295015965569901429959739<220>
prime factors 素因数
29450529645282032705730966330665623764841267453<47>
117851057598356963760665819395692224863874912672517042012901447064237991256664310417333287769000576393933810223999583318515682473753895198254229265887879959153479219850093463<174>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2161742800
Step 1 took 66601ms
Step 2 took 29970ms
********** Factor found in step 2: 29450529645282032705730966330665623764841267453
Found probable prime factor of 47 digits: 29450529645282032705730966330665623764841267453
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:32:06 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 6 秒 (日本時間)
4511e6326060Serge BatalovDecember 4, 2013 17:32:06 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 6 秒 (日本時間)
500Serge BatalovJanuary 4, 2014 22:39:31 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 31 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:36 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 36 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:43 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 43 秒 (日本時間)
5043e6500 / 6813Serge BatalovJanuary 4, 2014 23:01:28 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 28 秒 (日本時間)

25×10224+173

c223

name 名前Serge Batalov
date 日付January 4, 2014 23:24:53 UTC 2014 年 1 月 5 日 (日) 8 時 24 分 53 秒 (日本時間)
composite number 合成数
1739735560194850382741823242867084203201113430758524704244954766875434933890048712595685455810716771050800278357689631176061238691718858733472512178148921363952679192762700069589422407794015309672929714683368128044537230341<223>
prime factors 素因数
88633882241905444981939603317490464257789<41>
19628335306882408649050462867081541111019092716421398339576787326562310521741326709275037598740521648651768842067988158990244853567574694987548227064012087442849980432502012241376169<182>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2733822805
Step 1 took 73634ms
Step 2 took 36695ms
********** Factor found in step 2: 88633882241905444981939603317490464257789
Found probable prime factor of 41 digits: 88633882241905444981939603317490464257789
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:32:18 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 18 秒 (日本時間)
4511e6560 / 267560Serge BatalovDecember 4, 2013 17:32:18 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 18 秒 (日本時間)
500Serge BatalovJanuary 4, 2014 22:39:34 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 34 秒 (日本時間)
5043e6500 / 7419Serge BatalovJanuary 4, 2014 23:01:30 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 30 秒 (日本時間)

25×10226+173

c191

name 名前Dmitry Domanov
date 日付March 25, 2014 05:40:00 UTC 2014 年 3 月 25 日 (火) 14 時 40 分 0 秒 (日本時間)
composite number 合成数
86460262483572931269341591678076153491341028478331677285085377999532748339593342312157635373186431575975362910889777883293601452689168561919904379910277992305649425318216986880856711981942663<191>
prime factors 素因数
92624496431521093374481330662845423119003<41>
933449204201552795091570993783165002881630670651733558599280310755914117395958487180667600086893770463332996694871854879302445576389341151580877881221<150>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3691804136
Step 1 took 90302ms
Step 2 took 32768ms
********** Factor found in step 2: 92624496431521093374481330662845423119003
Found probable prime factor of 41 digits: 92624496431521093374481330662845423119003

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 6, 2014 12:26:45 UTC 2014 年 1 月 6 日 (月) 21 時 26 分 45 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:06:46 UTC 2014 年 1 月 9 日 (木) 14 時 6 分 46 秒 (日本時間)
1500Dmitry DomanovFebruary 24, 2014 09:31:58 UTC 2014 年 2 月 24 日 (月) 18 時 31 分 58 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovMarch 24, 2014 12:18:32 UTC 2014 年 3 月 24 日 (月) 21 時 18 分 32 秒 (日本時間)

25×10227+173

c139

name 名前Erik Branger
date 日付February 27, 2014 07:11:19 UTC 2014 年 2 月 27 日 (木) 16 時 11 分 19 秒 (日本時間)
composite number 合成数
4826969329756197788003697971769539687086779270713464720450566148606267878336705036163467349645552556186287983454006796137490603866864918843<139>
prime factors 素因数
464399005438111458940944560216847380453886957621381926971763<60>
10394013064697374965258361492220815722281133170280244851133165741543908138555161<80>
factorization results 素因数分解の結果
Number: 83339_227
N = 4826969329756197788003697971769539687086779270713464720450566148606267878336705036163467349645552556186287983454006796137490603866864918843 (139 digits)
Divisors found:
r1=464399005438111458940944560216847380453886957621381926971763 (pp60)
r2=10394013064697374965258361492220815722281133170280244851133165741543908138555161 (pp80)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 175.78 hours.
Factorization parameters were as follows:
# Murphy_E = 2.397e-11, selected by Erik Branger
# expecting poly E from 2.47e-011 to > 2.84e-011
n: 4826969329756197788003697971769539687086779270713464720450566148606267878336705036163467349645552556186287983454006796137490603866864918843
Y0: -926877150359929743862929209
Y1: 318348614264063
c0: 24136263380001295617025839273142920
c1: 23938132370660775456516109862
c2: -287883025665881583383789
c3: -168790622447169868
c4: 240659533044
c5: 7056
skew: 1171691.15
type: gnfs
# selected mechanically
rlim: 16800000
alim: 16800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16800000/16800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23250741
Relations: 4129436 relations
Pruned matrix : 2526157 x 2526401
Polynomial selection time: 0.00 hours.
Total sieving time: 170.48 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 4.92 hours.
time per square root: 0.24 hours.
Prototype def-par.txt line would be: gnfs,138,5,65,2000,1e-05,0.28,250,20,50000,3600,16800000,16800000,28,28,55,55,2.6,2.6,100000
total time: 175.78 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 4, 2013 14:15:58 UTC 2013 年 12 月 4 日 (水) 23 時 15 分 58 秒 (日本時間)
403e6320110Ignacio SantosDecember 4, 2013 14:15:58 UTC 2013 年 12 月 4 日 (水) 23 時 15 分 58 秒 (日本時間)
210Serge BatalovDecember 4, 2013 17:31:31 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 31 秒 (日本時間)
4511e6962 / 439032Ignacio SantosDecember 4, 2013 14:15:58 UTC 2013 年 12 月 4 日 (水) 23 時 15 分 58 秒 (日本時間)
60Serge BatalovDecember 4, 2013 17:31:31 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 31 秒 (日本時間)
230Ignacio SantosDecember 22, 2013 20:03:52 UTC 2013 年 12 月 23 日 (月) 5 時 3 分 52 秒 (日本時間)
240Ignacio SantosDecember 24, 2013 17:44:57 UTC 2013 年 12 月 25 日 (水) 2 時 44 分 57 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:19 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 19 秒 (日本時間)

25×10229+173

c197

name 名前Dmitry Domanov
date 日付February 25, 2014 05:23:03 UTC 2014 年 2 月 25 日 (火) 14 時 23 分 3 秒 (日本時間)
composite number 合成数
89589136794377819723623423183988139699880236853728797778552497654484937532020776731647754769827832381167209178381434977879735707939646716948951475275194486399929642156707342480455341158029970755007<197>
prime factors 素因数
2424416139596309729753130433360050763<37>
36952870974244270702476760080197170489309758033350719818813227506515033537622254564990839222588113817907504451882178037536336242720709661420209147582887850381789<161>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=247084262
Step 1 took 26157ms
Step 2 took 11612ms
********** Factor found in step 2: 2424416139596309729753130433360050763
Found probable prime factor of 37 digits: 2424416139596309729753130433360050763

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090 / 2318290CypJanuary 4, 2014 12:00:46 UTC 2014 年 1 月 4 日 (土) 21 時 0 分 46 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:06:46 UTC 2014 年 1 月 9 日 (木) 14 時 6 分 46 秒 (日本時間)
1500Dmitry DomanovFebruary 24, 2014 09:31:42 UTC 2014 年 2 月 24 日 (月) 18 時 31 分 42 秒 (日本時間)

25×10230+173

c227

composite cofactor 合成数の残り
19416420078131674394401857763073075638606056369750770831877101827473457753753194001102852660437879105602025520942550696272824001801843783250619383800492400413181419262642031112871533198195049589536879548296403302344726888635181<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:32:24 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 24 秒 (日本時間)
4511e6267560Serge BatalovDecember 4, 2013 17:32:24 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 24 秒 (日本時間)
500Serge BatalovJanuary 4, 2014 22:39:40 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 40 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:44 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 44 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:04:01 UTC 2014 年 5 月 25 日 (日) 4 時 4 分 1 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:23 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 23 秒 (日本時間)
115KTakahashiAugust 18, 2014 13:23:52 UTC 2014 年 8 月 18 日 (月) 22 時 23 分 52 秒 (日本時間)
5043e6500 / 6944Serge BatalovJanuary 4, 2014 23:01:37 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 37 秒 (日本時間)

25×10231+173

c196

composite cofactor 合成数の残り
4553418161095803302654162770269921992224082710707399046614105748463616101908054526386387858989129066583067664857955384628869993162628441745691670957140129200785812950852003356361107565653436117513<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 1, 2014 12:16:39 UTC 2014 年 1 月 1 日 (水) 21 時 16 分 39 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:06:50 UTC 2014 年 1 月 9 日 (木) 14 時 6 分 50 秒 (日本時間)
1500Dmitry DomanovFebruary 24, 2014 09:31:22 UTC 2014 年 2 月 24 日 (月) 18 時 31 分 22 秒 (日本時間)
4511e61800 / 38761500Dmitry DomanovMarch 24, 2014 12:18:59 UTC 2014 年 3 月 24 日 (月) 21 時 18 分 59 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:23 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 23 秒 (日本時間)
5043e639 / 7070CypJanuary 29, 2014 19:14:35 UTC 2014 年 1 月 30 日 (木) 4 時 14 分 35 秒 (日本時間)

25×10232+173

c201

name 名前Serge Batalov
date 日付November 26, 2013 23:47:18 UTC 2013 年 11 月 27 日 (水) 8 時 47 分 18 秒 (日本時間)
composite number 合成数
160308205871004551427128926055892978197406664081037508138005751809979526559111885627139038841502787645657317196713924582754502039470276998896283224176356135726358820752393223198896727193275813741764087<201>
prime factors 素因数
207941378977975171288391333003<30>
154909938661540689276832676992868281<36>
4976632277106901422810746632436623137626147706449467726950209043238647004887058584237505128860349916280232705086990092753607903557094509<136>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3856983422
Step 1 took 5797ms
Step 2 took 2960ms
********** Factor found in step 2: 207941378977975171288391333003
Found probable prime factor of 30 digits: 207941378977975171288391333003

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2173388482
Step 1 took 5999ms
Step 2 took 3068ms
********** Factor found in step 2: 154909938661540689276832676992868281
Found probable prime factor of 36 digits: 154909938661540689276832676992868281

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)

25×10233+173

c220

composite cofactor 合成数の残り
9844041013363470664627315185656932133351049597711196163469904210202714662332213544169130367135476260041876756212329163769251290459793210304465272967468529801562753432201211448158761485041103925212578699854068127195808283<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 3, 2014 06:38:22 UTC 2014 年 1 月 3 日 (金) 15 時 38 分 22 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:06:51 UTC 2014 年 1 月 9 日 (木) 14 時 6 分 51 秒 (日本時間)
4511e6300 / 3682Serge BatalovMay 27, 2014 00:36:24 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 24 秒 (日本時間)
5043e6189 / 7463CypFebruary 13, 2014 02:04:16 UTC 2014 年 2 月 13 日 (木) 11 時 4 分 16 秒 (日本時間)

25×10234+173

c204

composite cofactor 合成数の残り
261028695008225609968365649899126345009726619245914310674694356476185756088683878849787597463527431458564092148693557554284349361367906036065474521282369209447279405494394650216013284486353680119774267059<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e63390290CypJanuary 2, 2014 13:06:24 UTC 2014 年 1 月 2 日 (木) 22 時 6 分 24 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:06:52 UTC 2014 年 1 月 9 日 (木) 14 時 6 分 52 秒 (日本時間)
1500Dmitry DomanovFebruary 24, 2014 09:31:02 UTC 2014 年 2 月 24 日 (月) 18 時 31 分 2 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:43 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 43 秒 (日本時間)

25×10237+173

c226

composite cofactor 合成数の残り
7088585968115020342686054654091118537534358852224988485349247930161722974367539984745370419783702032588913245232346671445392255992414829536360312024404624517352710515834881977376823361427223369940370362950202719093762094562099<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 6, 2014 00:52:11 UTC 2014 年 1 月 6 日 (月) 9 時 52 分 11 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:06:55 UTC 2014 年 1 月 9 日 (木) 14 時 6 分 55 秒 (日本時間)
1500Dmitry DomanovFebruary 24, 2014 09:30:49 UTC 2014 年 2 月 24 日 (月) 18 時 30 分 49 秒 (日本時間)
4511e6300 / 3876Serge BatalovMay 27, 2014 00:36:24 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 24 秒 (日本時間)
5043e639 / 7406CypJanuary 13, 2014 06:31:05 UTC 2014 年 1 月 13 日 (月) 15 時 31 分 5 秒 (日本時間)

25×10238+173

c239

name 名前Serge Batalov
date 日付January 5, 2014 00:58:29 UTC 2014 年 1 月 5 日 (日) 9 時 58 分 29 秒 (日本時間)
composite number 合成数
83333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333339<239>
prime factors 素因数
553709617064489889043223102331475482863<39>
composite cofactor 合成数の残り
150500064953048487224510977695818818741905933580514523069079909546756314844556738627426041829493477161451336211464622873288529946018116076401780984282166630060032603055015985094856387688843636446663253<201>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1963638035
Step 1 took 83324ms
Step 2 took 40379ms
********** Factor found in step 2: 553709617064489889043223102331475482863
Found probable prime factor of 39 digits: 553709617064489889043223102331475482863
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:32:31 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 31 秒 (日本時間)
4511e6860 / 267560Serge BatalovDecember 4, 2013 17:32:31 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 31 秒 (日本時間)
500Serge BatalovJanuary 4, 2014 22:39:47 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 47 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:24 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 24 秒 (日本時間)
5043e6500 / 7352Serge BatalovJanuary 4, 2014 23:01:44 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 44 秒 (日本時間)

25×10239+173

c211

composite cofactor 合成数の残り
4546395567012721687519123594180762301583399717472248352504267008831198271621851570017522441718448966974201686964250352151427914803955237656756226070231913483743746427208972331426038520179330949860148070888506287<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 6, 2014 14:21:56 UTC 2014 年 1 月 6 日 (月) 23 時 21 分 56 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:06:56 UTC 2014 年 1 月 9 日 (木) 14 時 6 分 56 秒 (日本時間)
1500Dmitry DomanovFebruary 24, 2014 09:30:31 UTC 2014 年 2 月 24 日 (月) 18 時 30 分 31 秒 (日本時間)
4511e6367 / 401367CypMarch 8, 2014 14:37:26 UTC 2014 年 3 月 8 日 (土) 23 時 37 分 26 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:25 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 25 秒 (日本時間)

25×10240+173

c215

name 名前Serge Batalov
date 日付January 9, 2014 09:10:24 UTC 2014 年 1 月 9 日 (木) 18 時 10 分 24 秒 (日本時間)
composite number 合成数
26846234093513981528107568985107427974305899728354328570020471589171330230966410164449972485705694021321658711698740500648653972486434329149869866401996060735807709401746673055663385993381621670782418908511580704621<215>
prime factors 素因数
353456383980238066662798214960544227<36>
composite cofactor 合成数の残り
75953456523266442607669563225743519138038566072925352553094770092734956517481234877401650054701980264628147941809255743531623823956103063010182131486276226790238263021667918746223<179>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1549847725
Step 1 took 18129ms
Step 2 took 6342ms
********** Factor found in step 2: 353456383980238066662798214960544227
Found probable prime factor of 36 digits: 353456383980238066662798214960544227
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e63390290CypJanuary 4, 2014 10:50:14 UTC 2014 年 1 月 4 日 (土) 19 時 50 分 14 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:06:57 UTC 2014 年 1 月 9 日 (木) 14 時 6 分 57 秒 (日本時間)
1500Dmitry DomanovFebruary 24, 2014 09:30:18 UTC 2014 年 2 月 24 日 (月) 18 時 30 分 18 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:44 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 44 秒 (日本時間)

25×10241+173

c213

name 名前Serge Batalov
date 日付May 26, 2014 23:15:59 UTC 2014 年 5 月 27 日 (火) 8 時 15 分 59 秒 (日本時間)
composite number 合成数
478833585432066458803744942317827353325843725104388508217229844994839614074189286850192667446650567836138491592316801970127460150814204942508522680859168336019499253884748172432262401039792510961265668738787821881<213>
prime factors 素因数
2245034371693728158473024469867949869250283<43>
composite cofactor 合成数の残り
213285636723155632618616912975792784487794402566527162683008676047097895301355004196645378578284108244113494087559640773394831309455246621131772717868231233840142491795307<171>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3711103251
Step 1 took 20434ms
Step 2 took 7638ms
********** Factor found in step 2: 2245034371693728158473024469867949869250283
Found probable prime factor of 43 digits: 2245034371693728158473024469867949869250283
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:46 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 46 秒 (日本時間)
403e63100300Serge BatalovJanuary 9, 2014 05:06:58 UTC 2014 年 1 月 9 日 (木) 14 時 6 分 58 秒 (日本時間)
1500Dmitry DomanovFebruary 24, 2014 09:30:05 UTC 2014 年 2 月 24 日 (月) 18 時 30 分 5 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:44 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 44 秒 (日本時間)

25×10242+173

c219

composite cofactor 合成数の残り
924867603575953395967711897771302669573257606778629960329176021857560680643298000324595415806873744641420390655341501735844631709846650400947648999986032503324731616148693565675977429679071889282153073270479733427250551<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 1, 2014 12:12:03 UTC 2014 年 1 月 1 日 (水) 21 時 12 分 3 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:06:59 UTC 2014 年 1 月 9 日 (木) 14 時 6 分 59 秒 (日本時間)
1500Dmitry DomanovFebruary 24, 2014 09:29:53 UTC 2014 年 2 月 24 日 (月) 18 時 29 分 53 秒 (日本時間)
4511e6367 / 401367CypMarch 10, 2014 06:02:58 UTC 2014 年 3 月 10 日 (月) 15 時 2 分 58 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:25 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 25 秒 (日本時間)

25×10243+173

c225

name 名前Serge Batalov
date 日付November 27, 2013 17:29:44 UTC 2013 年 11 月 28 日 (木) 2 時 29 分 44 秒 (日本時間)
composite number 合成数
436003545560302596033457922284394310193353655247209449579707932499712911305919648809551451379283079929595974106528238882977591659101286914799698990780369938919812294276211116612257519461926650155549810193555413022018589211191<225>
prime factors 素因数
10188206041547576336919815571300721<35>
composite cofactor 合成数の残り
42794928153423385014604226924189820774248570119478770655902783122830509375951915160863088615069758888657548947138514974144461766293942882986615656169399400085899373165706320046879428231660071<191>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3260129115
Step 1 took 6051ms
Step 2 took 2838ms
********** Factor found in step 2: 10188206041547576336919815571300721
Found probable prime factor of 35 digits: 10188206041547576336919815571300721
Composite cofactor 

c191

name 名前Cyp
date 日付January 5, 2014 22:19:22 UTC 2014 年 1 月 6 日 (月) 7 時 19 分 22 秒 (日本時間)
composite number 合成数
42794928153423385014604226924189820774248570119478770655902783122830509375951915160863088615069758888657548947138514974144461766293942882986615656169399400085899373165706320046879428231660071<191>
prime factors 素因数
2760199293548659853636559672786274013<37>
composite cofactor 合成数の残り
15504289220509123563542917453992147099651982719630843341855467461687559709128017013491298361929975638114283289609838409767951548314316520456446139602592467<155>
factorization results 素因数分解の結果
Run 52 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=262727314
Step 1 took 16025ms
Step 2 took 1756ms
********** Factor found in step 2: 2760199293548659853636559672786274013
Found probable prime factor of 37 digits: 2760199293548659853636559672786274013
Composite cofactor 15504289220509123563542917453992147099651982719630843341855467461687559709128017013491298361929975638114283289609838409767951548314316520456446139602592467 has 155 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c155

name 名前Ignacio Santos
date 日付February 8, 2014 17:37:11 UTC 2014 年 2 月 9 日 (日) 2 時 37 分 11 秒 (日本時間)
composite number 合成数
15504289220509123563542917453992147099651982719630843341855467461687559709128017013491298361929975638114283289609838409767951548314316520456446139602592467<155>
prime factors 素因数
97599928720657669551511768625880377574259<41>
composite cofactor 合成数の残り
158855538356838352339286575418015550385704684270162681871580025810730060007534353165252094632222784461402091866913<114>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:977152695
Step 1 took 36516ms
Step 2 took 19734ms
********** Factor found in step 2: 97599928720657669551511768625880377574259
Found probable prime factor of 41 digits: 97599928720657669551511768625880377574259
Composite cofactor 158855538356838352339286575418015550385704684270162681871580025810730060007534353165252094632222784461402091866913 has 114 digits
software ソフトウェア
GMP-ECM 7.0

c114

name 名前Cyp
date 日付February 9, 2014 16:44:12 UTC 2014 年 2 月 10 日 (月) 1 時 44 分 12 秒 (日本時間)
composite number 合成数
158855538356838352339286575418015550385704684270162681871580025810730060007534353165252094632222784461402091866913<114>
prime factors 素因数
3370407465025039115823642520835856043155841<43>
47132443185369635310642434292025193673625351563270290690022998950885793<71>
factorization results 素因数分解の結果
02/09/14 15:16:17 v1.34.3, 
02/09/14 15:16:17 v1.34.3, ****************************
02/09/14 15:16:17 v1.34.3, Starting factorization of 158855538356838352339286575418015550385704684270162681871580025810730060007534353165252094632222784461402091866913
02/09/14 15:16:17 v1.34.3, using pretesting plan: none
02/09/14 15:16:17 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
02/09/14 15:16:17 v1.34.3, ****************************
02/09/14 15:16:17 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C114
02/09/14 15:16:17 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C114
02/09/14 15:16:17 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C114
02/09/14 15:16:17 v1.34.3, final ECM pretested depth: 0.00
02/09/14 15:16:17 v1.34.3, scheduler: switching to sieve method
02/09/14 15:16:17 v1.34.3, nfs: commencing nfs on c114: 158855538356838352339286575418015550385704684270162681871580025810730060007534353165252094632222784461402091866913
02/09/14 15:16:17 v1.34.3, nfs: commencing poly selection with 8 threads
02/09/14 15:16:17 v1.34.3, nfs: setting deadline of 750 seconds
02/09/14 15:28:52 v1.34.3, nfs: completed 140 ranges of size 250 in 754.7384 seconds
02/09/14 15:28:52 v1.34.3, nfs: best poly = # norm 9.133865e-11 alpha -6.477320 e 6.684e-10 rroots 3
02/09/14 15:28:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/09/14 15:34:22 v1.34.3, nfs: commencing lattice sieving with 8 threads
[18 lines snipped]
02/09/14 17:23:16 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/09/14 17:29:20 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/09/14 17:35:14 v1.34.3, nfs: commencing msieve filtering
02/09/14 17:37:08 v1.34.3, nfs: commencing msieve linear algebra
02/09/14 17:43:01 v1.34.3, nfs: commencing msieve sqrt
02/09/14 17:44:11 v1.34.3, prp43 = 3370407465025039115823642520835856043155841
02/09/14 17:44:11 v1.34.3, prp71 = 47132443185369635310642434292025193673625351563270290690022998950885793
02/09/14 17:44:11 v1.34.3, NFS elapsed time = 8873.4448 seconds.
02/09/14 17:44:11 v1.34.3, 
02/09/14 17:44:11 v1.34.3, 
02/09/14 17:44:11 v1.34.3, Total factoring time = 8873.4678 seconds
--
Sun Feb  9 17:35:14 2014  
Sun Feb  9 17:35:14 2014  commencing relation filtering
Sun Feb  9 17:35:14 2014  estimated available RAM is 15988.7 MB
Sun Feb  9 17:35:14 2014  commencing duplicate removal, pass 1
Sun Feb  9 17:35:45 2014  found 1011247 hash collisions in 10231339 relations
Sun Feb  9 17:35:55 2014  added 62775 free relations
Sun Feb  9 17:35:55 2014  commencing duplicate removal, pass 2
Sun Feb  9 17:36:04 2014  found 414347 duplicates and 9879767 unique relations
Sun Feb  9 17:36:04 2014  memory use: 41.3 MB
Sun Feb  9 17:36:04 2014  reading ideals above 100000
Sun Feb  9 17:36:04 2014  commencing singleton removal, initial pass
Sun Feb  9 17:36:47 2014  memory use: 344.5 MB
Sun Feb  9 17:36:47 2014  reading all ideals from disk
Sun Feb  9 17:36:47 2014  memory use: 339.2 MB
Sun Feb  9 17:36:48 2014  keeping 10606996 ideals with weight <= 200, target excess is 71861
Sun Feb  9 17:36:48 2014  commencing in-memory singleton removal
Sun Feb  9 17:36:48 2014  begin with 9879767 relations and 10606996 unique ideals
Sun Feb  9 17:36:52 2014  reduce to 3777986 relations and 3383777 ideals in 21 passes
Sun Feb  9 17:36:52 2014  max relations containing the same ideal: 104
Sun Feb  9 17:36:53 2014  removing 918912 relations and 763487 ideals in 155425 cliques
Sun Feb  9 17:36:53 2014  commencing in-memory singleton removal
Sun Feb  9 17:36:53 2014  begin with 2859074 relations and 3383777 unique ideals
Sun Feb  9 17:36:54 2014  reduce to 2675945 relations and 2427291 ideals in 10 passes
Sun Feb  9 17:36:54 2014  max relations containing the same ideal: 87
Sun Feb  9 17:36:55 2014  removing 697158 relations and 541734 ideals in 155425 cliques
Sun Feb  9 17:36:55 2014  commencing in-memory singleton removal
Sun Feb  9 17:36:55 2014  begin with 1978787 relations and 2427291 unique ideals
Sun Feb  9 17:36:56 2014  reduce to 1827176 relations and 1724387 ideals in 9 passes
Sun Feb  9 17:36:56 2014  max relations containing the same ideal: 66
Sun Feb  9 17:36:56 2014  removing 140777 relations and 121347 ideals in 19430 cliques
Sun Feb  9 17:36:56 2014  commencing in-memory singleton removal
Sun Feb  9 17:36:56 2014  begin with 1686399 relations and 1724387 unique ideals
Sun Feb  9 17:36:57 2014  reduce to 1679056 relations and 1595587 ideals in 9 passes
Sun Feb  9 17:36:57 2014  max relations containing the same ideal: 64
Sun Feb  9 17:36:57 2014  relations with 0 large ideals: 441
Sun Feb  9 17:36:57 2014  relations with 1 large ideals: 5093
Sun Feb  9 17:36:57 2014  relations with 2 large ideals: 37746
Sun Feb  9 17:36:57 2014  relations with 3 large ideals: 148643
Sun Feb  9 17:36:57 2014  relations with 4 large ideals: 339220
Sun Feb  9 17:36:57 2014  relations with 5 large ideals: 469489
Sun Feb  9 17:36:57 2014  relations with 6 large ideals: 398546
Sun Feb  9 17:36:57 2014  relations with 7+ large ideals: 279878
Sun Feb  9 17:36:57 2014  commencing 2-way merge
Sun Feb  9 17:36:58 2014  reduce to 947035 relation sets and 863566 unique ideals
Sun Feb  9 17:36:58 2014  commencing full merge
Sun Feb  9 17:37:05 2014  memory use: 95.2 MB
Sun Feb  9 17:37:05 2014  found 472820 cycles, need 461766
Sun Feb  9 17:37:05 2014  weight of 461766 cycles is about 32663034 (70.74/cycle)
Sun Feb  9 17:37:05 2014  distribution of cycle lengths:
Sun Feb  9 17:37:05 2014  1 relations: 48648
Sun Feb  9 17:37:05 2014  2 relations: 48369
Sun Feb  9 17:37:05 2014  3 relations: 49525
Sun Feb  9 17:37:05 2014  4 relations: 46134
Sun Feb  9 17:37:05 2014  5 relations: 43930
Sun Feb  9 17:37:05 2014  6 relations: 38395
Sun Feb  9 17:37:05 2014  7 relations: 34457
Sun Feb  9 17:37:05 2014  8 relations: 31027
Sun Feb  9 17:37:05 2014  9 relations: 26231
Sun Feb  9 17:37:05 2014  10+ relations: 95050
Sun Feb  9 17:37:05 2014  heaviest cycle: 19 relations
Sun Feb  9 17:37:05 2014  commencing cycle optimization
Sun Feb  9 17:37:05 2014  start with 2829920 relations
Sun Feb  9 17:37:07 2014  pruned 60071 relations
Sun Feb  9 17:37:07 2014  memory use: 95.7 MB
Sun Feb  9 17:37:07 2014  distribution of cycle lengths:
Sun Feb  9 17:37:07 2014  1 relations: 48648
Sun Feb  9 17:37:07 2014  2 relations: 49392
Sun Feb  9 17:37:07 2014  3 relations: 51076
Sun Feb  9 17:37:07 2014  4 relations: 47191
Sun Feb  9 17:37:07 2014  5 relations: 44801
Sun Feb  9 17:37:07 2014  6 relations: 39039
Sun Feb  9 17:37:07 2014  7 relations: 35111
Sun Feb  9 17:37:07 2014  8 relations: 31037
Sun Feb  9 17:37:07 2014  9 relations: 26313
Sun Feb  9 17:37:07 2014  10+ relations: 89158
Sun Feb  9 17:37:07 2014  heaviest cycle: 19 relations
Sun Feb  9 17:37:08 2014  RelProcTime: 114
Sun Feb  9 17:37:08 2014  
Sun Feb  9 17:37:08 2014  commencing linear algebra
Sun Feb  9 17:37:08 2014  read 461766 cycles
Sun Feb  9 17:37:08 2014  cycles contain 1609156 unique relations
Sun Feb  9 17:37:19 2014  read 1609156 relations
Sun Feb  9 17:37:20 2014  using 20 quadratic characters above 134217200
Sun Feb  9 17:37:25 2014  building initial matrix
Sun Feb  9 17:37:34 2014  memory use: 204.3 MB
Sun Feb  9 17:37:34 2014  read 461766 cycles
Sun Feb  9 17:37:34 2014  matrix is 461587 x 461766 (141.0 MB) with weight 44821797 (97.07/col)
Sun Feb  9 17:37:34 2014  sparse part has weight 31424210 (68.05/col)
Sun Feb  9 17:37:36 2014  filtering completed in 2 passes
Sun Feb  9 17:37:36 2014  matrix is 460776 x 460955 (140.9 MB) with weight 44786372 (97.16/col)
Sun Feb  9 17:37:36 2014  sparse part has weight 31412860 (68.15/col)
Sun Feb  9 17:37:37 2014  matrix starts at (0, 0)
Sun Feb  9 17:37:37 2014  matrix is 460776 x 460955 (140.9 MB) with weight 44786372 (97.16/col)
Sun Feb  9 17:37:37 2014  sparse part has weight 31412860 (68.15/col)
Sun Feb  9 17:37:37 2014  saving the first 48 matrix rows for later
Sun Feb  9 17:37:37 2014  matrix includes 64 packed rows
Sun Feb  9 17:37:37 2014  matrix is 460728 x 460955 (134.9 MB) with weight 35566839 (77.16/col)
Sun Feb  9 17:37:37 2014  sparse part has weight 30765938 (66.74/col)
Sun Feb  9 17:37:37 2014  using block size 65536 for processor cache size 8192 kB
Sun Feb  9 17:37:38 2014  commencing Lanczos iteration (8 threads)
Sun Feb  9 17:37:38 2014  memory use: 127.7 MB
Sun Feb  9 17:37:47 2014  linear algebra at 2.6%, ETA 0h 5m
Sun Feb  9 17:43:01 2014  lanczos halted after 7288 iterations (dim = 460728)
Sun Feb  9 17:43:01 2014  recovered 33 nontrivial dependencies
Sun Feb  9 17:43:01 2014  BLanczosTime: 353
Sun Feb  9 17:43:01 2014  
Sun Feb  9 17:43:01 2014  commencing square root phase
Sun Feb  9 17:43:01 2014  reading relations for dependency 1
Sun Feb  9 17:43:01 2014  read 231099 cycles
Sun Feb  9 17:43:01 2014  cycles contain 805262 unique relations
Sun Feb  9 17:43:10 2014  read 805262 relations
Sun Feb  9 17:43:12 2014  multiplying 805262 relations
Sun Feb  9 17:43:38 2014  multiply complete, coefficients have about 34.98 million bits
Sun Feb  9 17:43:38 2014  initial square root is modulo 105401
Sun Feb  9 17:44:11 2014  sqrtTime: 70
--
n: 158855538356838352339286575418015550385704684270162681871580025810730060007534353165252094632222784461402091866913
skew: 50989.48
c0: -188819031429985064528940625
c1: -62012369906820697668808
c2: -2423537959796131517
c3: -84945482731838
c4: 1828074396
c5: 7920
Y0: -7251944275172330344446
Y1: 353605387651
rlim: 4240000
alim: 4240000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6590 / 731290CypJanuary 5, 2014 22:19:20 UTC 2014 年 1 月 6 日 (月) 7 時 19 分 20 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:00 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 0 秒 (日本時間)
4511e6460 / 4345230Ignacio SantosFebruary 7, 2014 23:45:58 UTC 2014 年 2 月 8 日 (土) 8 時 45 分 58 秒 (日本時間)
230Ignacio SantosFebruary 8, 2014 13:53:02 UTC 2014 年 2 月 8 日 (土) 22 時 53 分 2 秒 (日本時間)

25×10244+173

c222

composite cofactor 合成数の残り
519008605900308195999068933746879016378789281678080725156377634009589327648600884055489348522081072755168017708460372715685382896840302314582404341383257525035337693035838529313063600324385623771308569014228121026082137037<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e63390290CypJanuary 3, 2014 19:12:28 UTC 2014 年 1 月 4 日 (土) 4 時 12 分 28 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:00 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 0 秒 (日本時間)
1500Dmitry DomanovFebruary 24, 2014 09:29:40 UTC 2014 年 2 月 24 日 (月) 18 時 29 分 40 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:44 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 44 秒 (日本時間)

25×10246+173

c228

composite cofactor 合成数の残り
440159477232699011754008218496637325550139420457352696933007981658485016238743588646502959129368978781987325328010545678285892290594015149970211023546558478783412921583216972572196368292874143131440227061689964720031066984949313<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 6, 2014 08:17:22 UTC 2014 年 1 月 6 日 (月) 17 時 17 分 22 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:01 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 1 秒 (日本時間)
1500Dmitry DomanovFebruary 24, 2014 09:29:28 UTC 2014 年 2 月 24 日 (月) 18 時 29 分 28 秒 (日本時間)
4511e6367 / 401367CypMarch 8, 2014 05:49:09 UTC 2014 年 3 月 8 日 (土) 14 時 49 分 9 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:26 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 26 秒 (日本時間)

25×10248+173

c225

composite cofactor 合成数の残り
557128463756530662355722428314585395334616920733375352759165897120582754080822015637341751967167961111827792129553628499793453142807899364904664178246961960355469003500213892503635688891800782384924346378561959900727974214201<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:47 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 47 秒 (日本時間)
403e63100300Serge BatalovJanuary 9, 2014 05:07:02 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 2 秒 (日本時間)
1500Dmitry DomanovFebruary 24, 2014 09:29:15 UTC 2014 年 2 月 24 日 (月) 18 時 29 分 15 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:45 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 45 秒 (日本時間)

25×10249+173

c221

composite cofactor 合成数の残り
88766931760435236064273294377365344193651710382181741582633900429102427513093819008878991069433619624811450268057171346147869583778539628784783830080621654219433166241246299737415028997809811347863874921771762014423312663<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e63390290CypJanuary 3, 2014 18:24:14 UTC 2014 年 1 月 4 日 (土) 3 時 24 分 14 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:03 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 3 秒 (日本時間)
1500Dmitry DomanovFebruary 24, 2014 09:29:04 UTC 2014 年 2 月 24 日 (月) 18 時 29 分 4 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:45 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 45 秒 (日本時間)
4511e611 / 3726CypMarch 11, 2014 17:53:26 UTC 2014 年 3 月 12 日 (水) 2 時 53 分 26 秒 (日本時間)

25×10250+173

c239

composite cofactor 合成数の残り
12113744497120745415474830490414472629343923559834624562298016822232607072789156790214035706792722353526807950093214511087001366805658379608018675683068363111322671236272115786986080321959937360316951480349771311223949369665780759924112407<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:49 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 49 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:07:03 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 3 秒 (日本時間)
1500Dmitry DomanovFebruary 24, 2014 09:28:52 UTC 2014 年 2 月 24 日 (月) 18 時 28 分 52 秒 (日本時間)
4511e61500Dmitry DomanovFebruary 28, 2014 19:21:06 UTC 2014 年 3 月 1 日 (土) 4 時 21 分 6 秒 (日本時間)
5043e6400 / 6758Dmitry DomanovMarch 7, 2014 11:33:33 UTC 2014 年 3 月 7 日 (金) 20 時 33 分 33 秒 (日本時間)
5511e7160 / 17518Dmitry DomanovMarch 11, 2014 11:47:17 UTC 2014 年 3 月 11 日 (火) 20 時 47 分 17 秒 (日本時間)