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

name 名前Dylan Delgado
date 日付February 4, 2019 02:52:00 UTC 2019 年 2 月 4 日 (月) 11 時 52 分 0 秒 (日本時間)
composite number 合成数
150678989531718668156169696706853934839707864684016841261298985687328799068941765109955476017858266709879994062175140788007046502833711910872018504750965867873<159>
prime factors 素因数
111860739645087889950159360601890942156143781368891449630386017<63>
1347023003868859125596175566706720187395174753749298988383195434185099125511807725667436860743169<97>
factorization results 素因数分解の結果
Number: 83339_187
N = 150678989531718668156169696706853934839707864684016841261298985687328799068941765109955476017858266709879994062175140788007046502833711910872018504750965867873 (159 digits)
SNFS difficulty: 190 digits.
Divisors found:
Version: Msieve v. 1.53 (SVN 1005)
Total time: 12.26 hours.
Factorization parameters were as follows:
n: 150678989531718668156169696706853934839707864684016841261298985687328799068941765109955476017858266709879994062175140788007046502833711910872018504750965867873
m: 50000000000000000000000000000000000000
deg: 5
c5: 4
c0: 85
skew: 1.84
# Murphy_E = 4.851e-11
type: snfs
lss: 1
rlim: 8388607
alim: 8388607
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 8388607/8388607
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 21952114
Relations: 3353920 relations
Pruned matrix : 2005450 x 2005678
Polynomial selection time: 0.00 hours.
Total sieving time: 11.19 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.89 hours.
time per square root: 0.08 hours.
Prototype def-par.txt line would be: snfs,190,5,0,0,0,0,0,0,0,0,8388607,8388607,28,28,54,54,2.6,2.6,100000
total time: 12.26 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134
processors: 12, speed: 2.21GHz

__Square root phase + factors__
Sun Feb 03 21:43:57 2019  Msieve v. 1.53 (SVN 1005)
Sun Feb 03 21:43:57 2019  random seeds: 26b84de0 dcaa6381
Sun Feb 03 21:43:57 2019  factoring 150678989531718668156169696706853934839707864684016841261298985687328799068941765109955476017858266709879994062175140788007046502833711910872018504750965867873 (159 digits)
Sun Feb 03 21:43:57 2019  searching for 15-digit factors
Sun Feb 03 21:43:58 2019  commencing number field sieve (159-digit input)
Sun Feb 03 21:43:58 2019  R0: -50000000000000000000000000000000000000
Sun Feb 03 21:43:58 2019  R1: 1
Sun Feb 03 21:43:58 2019  A0: 85
Sun Feb 03 21:43:58 2019  A1: 0
Sun Feb 03 21:43:58 2019  A2: 0
Sun Feb 03 21:43:58 2019  A3: 0
Sun Feb 03 21:43:58 2019  A4: 0
Sun Feb 03 21:43:58 2019  A5: 4
Sun Feb 03 21:43:58 2019  skew 1.84, size 3.504e-013, alpha 0.992, combined = 4.316e-011 rroots = 1
Sun Feb 03 21:43:58 2019  
Sun Feb 03 21:43:58 2019  commencing square root phase
Sun Feb 03 21:43:58 2019  reading relations for dependency 1
Sun Feb 03 21:43:58 2019  read 1002402 cycles
Sun Feb 03 21:43:59 2019  cycles contain 3355652 unique relations
Sun Feb 03 21:44:14 2019  read 3355652 relations
Sun Feb 03 21:44:23 2019  multiplying 3355652 relations
Sun Feb 03 21:45:19 2019  multiply complete, coefficients have about 83.63 million bits
Sun Feb 03 21:45:19 2019  initial square root is modulo 1007651
Sun Feb 03 21:46:21 2019  GCD is 1, no factor found
Sun Feb 03 21:46:21 2019  reading relations for dependency 2
Sun Feb 03 21:46:22 2019  read 1002522 cycles
Sun Feb 03 21:46:23 2019  cycles contain 3353920 unique relations
Sun Feb 03 21:46:38 2019  read 3353920 relations
Sun Feb 03 21:46:47 2019  multiplying 3353920 relations
Sun Feb 03 21:47:43 2019  multiply complete, coefficients have about 83.59 million bits
Sun Feb 03 21:47:44 2019  initial square root is modulo 1000381
Sun Feb 03 21:48:47 2019  sqrtTime: 289
Sun Feb 03 21:48:47 2019  p63 factor: 111860739645087889950159360601890942156143781368891449630386017
Sun Feb 03 21:48:47 2019  p97 factor: 1347023003868859125596175566706720187395174753749298988383195434185099125511807725667436860743169
Sun Feb 03 21:48:47 2019  elapsed time 00:04:50
Sun Feb 03 21:48:47 2019 -> Computing 1.54925e+09 scale for this machine...
Sun Feb 03 21:48:47 2019 -> procrels -speedtest> PIPE
Sun Feb 03 21:48:49 2019 -> Factorization summary written to s190-83339_187.txt
software ソフトウェア
msieve v1.53, ggnfs, factmsieve.py v0.76
execution environment 実行環境
Core i7-8750H, Windows 10

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

name 名前Eric Jeancolas
date 日付August 15, 2020 05:17:48 UTC 2020 年 8 月 15 日 (土) 14 時 17 分 48 秒 (日本時間)
composite number 合成数
965198393379971553723588651055887121664440998492763489232092979538657578015784222446562897812766823671992341104643620090499637878792557700232245322530063066581973<162>
prime factors 素因数
4960755083135256485016891221363703434282924757270809923748158446406778354243<76>
194566830493464845002944748128340469853971825339049611111642240897759033079054602927111<87>
factorization results 素因数分解の結果
965198393379971553723588651055887121664440998492763489232092979538657578015784222446562897812766823671992341104643620090499637878792557700232245322530063066581973=4960755083135256485016891221363703434282924757270809923748158446406778354243*194566830493464845002944748128340469853971825339049611111642240897759033079054602927111

n: 965198393379971553723588651055887121664440998492763489232092979538657578015784222446562897812766823671992341104643620090499637878792557700232245322530063066581973
skew: 0.73
type: snfs
c0: 17
c5: 80
Y0: 50000000000000000000000000000000000000
Y1: -1
# f(x) = 80*x^5+17
# g(x) = -x+50000000000000000000000000000000000000

Info:Square Root: Factors: 4960755083135256485016891221363703434282924757270809923748158446406778354243 194566830493464845002944748128340469853971825339049611111642240897759033079054602927111
Info:Square Root: Total cpu/real time for sqrt: 3631.7/1882.24
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.92/0.848687
Info:Generate Free Relations: Total cpu/real time for freerel: 116.91/10.9885
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25703310
Info:Lattice Sieving: Average J: 1894.72 for 2244236 special-q, max bucket fill -bkmult 1.0,1s:1.074940
Info:Lattice Sieving: Total time: 930957s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 115.19/98.0929
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 96.69999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 856.87/632.531
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 518.6999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 693.75/814.88
Info:Filtering - Merging: Total cpu/real time for merge: 1779.62/1694.31
Info:Filtering - Merging: Total cpu/real time for replay: 168.64/148.108
Info:Linear Algebra: Total cpu/real time for bwc: 208217/32607.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 6401.83, iteration CPU time 0.49, COMM 0.02, cpu-wait 0.13, comm-wait 0.0 (64256 iterations)
Info:Linear Algebra: Lingen CPU time 1647.98, WCT time 446.08
Info:Linear Algebra: Mksol: WCT time 25732.43, iteration CPU time 0.65, COMM 0.02, cpu-wait 0.13, comm-wait 0.0 (32256 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 196.59/96.441
Info:Square Root: Total cpu/real time for sqrt: 3631.7/1882.24
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.8398e+06/34595.6
4960755083135256485016891221363703434282924757270809923748158446406778354243 194566830493464845002944748128340469853971825339049611111642240897759033079054602927111
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 18.04 LTS [4.15.0-109-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (4 processeurs)

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)
4511e6533232Ignacio 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)
4000Robert BalfourMarch 27, 2020 01:20:28 UTC 2020 年 3 月 27 日 (金) 10 時 20 分 28 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

c163

name 名前Edwin Hall
date 日付December 30, 2020 23:04:43 UTC 2020 年 12 月 31 日 (木) 8 時 4 分 43 秒 (日本時間)
composite number 合成数
1569610523110283564502655089934217028799349112926788517864420809663031166593709824887398451376693828389079509126364547307108115291372182995957328665600436621929229<163>
prime factors 素因数
36034699242317366068902374481223077128594900329823<50>
8429809986208871681768892434729899638511599457970377903<55>
5167175526812459464017775370980410433379549046424667627741<58>
factorization results 素因数分解の結果
found factor: 36034699242317366068902374481223077128594900329823
found factor: 36034699242317366068902374481223077128594900329823
p50 factor: 36034699242317366068902374481223077128594900329823
p55 factor: 8429809986208871681768892434729899638511599457970377903
p58 factor: 5167175526812459464017775370980410433379549046424667627741


Msieve v. 1.54 (SVN 1032M)
random seeds: 498e7f09 083ee631
factoring 1569610523110283564502655089934217028799349112926788517864420809663031166593709824887398451376693828389079509126364547307108115291372182995957328665600436621929229 (163 digits)
searching for 15-digit factors
commencing number field sieve (163-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 17
A1: 0
A2: 0
A3: 0
A4: 0
A5: 25
skew 1.00, size 1.080e-13, alpha 1.071, combined = 2.095e-11 rroots = 1

commencing relation filtering
estimated available RAM is 48213.5 MB
commencing duplicate removal, pass 1
found 2280872 hash collisions in 36590194 relations
added 727203 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 37317397 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1236.4 MB
keeping 40120022 ideals with weight <= 200, target excess is 197160
commencing in-memory singleton removal
begin with 37317397 relations and 40120022 unique ideals
reduce to 14186025 relations and 13018062 ideals in 17 passes
max relations containing the same ideal: 106
removing 2151526 relations and 1751526 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 12034499 relations and 13018062 unique ideals
reduce to 11754063 relations and 10975725 ideals in 10 passes
max relations containing the same ideal: 95
removing 1736736 relations and 1336736 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 10017327 relations and 10975725 unique ideals
reduce to 9790657 relations and 9404364 ideals in 9 passes
max relations containing the same ideal: 82
removing 808292 relations and 650705 ideals in 157587 cliques
commencing in-memory singleton removal
begin with 8982365 relations and 9404364 unique ideals
reduce to 8927559 relations and 8697984 ideals in 7 passes
max relations containing the same ideal: 77
relations with 0 large ideals: 3972
relations with 1 large ideals: 7735
relations with 2 large ideals: 70804
relations with 3 large ideals: 356943
relations with 4 large ideals: 1083660
relations with 5 large ideals: 2044186
relations with 6 large ideals: 2523421
relations with 7+ large ideals: 2836838
commencing 2-way merge
reduce to 5546091 relation sets and 5316516 unique ideals
commencing full merge
memory use: 629.4 MB
found 2587571 cycles, need 2564716
weight of 2564716 cycles is about 231010811 (90.07/cycle)
distribution of cycle lengths:
1 relations: 218937
2 relations: 220726
3 relations: 229846
4 relations: 222242
5 relations: 213023
6 relations: 197002
7 relations: 182954
8 relations: 165416
9 relations: 147598
10+ relations: 766972
heaviest cycle: 27 relations
commencing cycle optimization
start with 18956268 relations
pruned 643981 relations
memory use: 558.5 MB
distribution of cycle lengths:
1 relations: 218937
2 relations: 226106
3 relations: 238804
4 relations: 229731
5 relations: 221061
6 relations: 202941
7 relations: 188191
8 relations: 168880
9 relations: 150564
10+ relations: 719501
heaviest cycle: 26 relations
RelProcTime: 725
elapsed time 00:12:07


Msieve v. 1.54 (SVN 1032M)
random seeds: 0ce0a667 708d67f5
factoring 1569610523110283564502655089934217028799349112926788517864420809663031166593709824887398451376693828389079509126364547307108115291372182995957328665600436621929229 (163 digits)
searching for 15-digit factors
commencing number field sieve (163-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 17
A1: 0
A2: 0
A3: 0
A4: 0
A5: 25
skew 1.00, size 1.080e-13, alpha 1.071, combined = 2.095e-11 rroots = 1

commencing linear algebra
read 2564716 cycles
cycles contain 8758985 unique relations
read 8758985 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1097.3 MB
read 2564716 cycles
matrix is 2564539 x 2564716 (942.2 MB) with weight 273718594 (106.72/col)
sparse part has weight 218792144 (85.31/col)
filtering completed in 2 passes
matrix is 2563828 x 2564005 (942.2 MB) with weight 273693579 (106.74/col)
sparse part has weight 218782616 (85.33/col)
matrix starts at (0, 0)
matrix is 2563828 x 2564005 (942.2 MB) with weight 273693579 (106.74/col)
sparse part has weight 218782616 (85.33/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2563780 x 2564005 (895.1 MB) with weight 225758457 (88.05/col)
sparse part has weight 209015396 (81.52/col)
using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
commencing Lanczos iteration (12 threads)
memory use: 854.0 MB
linear algebra at 0.1%, ETA 2h20m
checkpointing every 1220000 dimensions
lanczos halted after 40542 iterations (dim = 2563778)
recovered 37 nontrivial dependencies
BLanczosTime: 6966
elapsed time 01:56:07


Msieve v. 1.54 (SVN 1032M)
random seeds: 17a91ad4 8924c953
factoring 1569610523110283564502655089934217028799349112926788517864420809663031166593709824887398451376693828389079509126364547307108115291372182995957328665600436621929229 (163 digits)
searching for 15-digit factors
commencing number field sieve (163-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 17
A1: 0
A2: 0
A3: 0
A4: 0
A5: 25
skew 1.00, size 1.080e-13, alpha 1.071, combined = 2.095e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1283020 cycles
cycles contain 4381360 unique relations
read 4381360 relations
multiplying 4381360 relations
multiply complete, coefficients have about 118.25 million bits
initial square root is modulo 307262071
GCD is 1, no factor found
reading relations for dependency 2
read 1281740 cycles
cycles contain 4381818 unique relations
read 4381818 relations
multiplying 4381818 relations
multiply complete, coefficients have about 118.26 million bits
initial square root is modulo 308068811
Newton iteration failed to converge
algebraic square root failed
reading relations for dependency 3
read 1281743 cycles
cycles contain 4377668 unique relations
read 4377668 relations
multiplying 4377668 relations
multiply complete, coefficients have about 118.15 million bits
initial square root is modulo 302086541
found factor: 36034699242317366068902374481223077128594900329823
reading relations for dependency 4
read 1281445 cycles
cycles contain 4378090 unique relations
read 4378090 relations
multiplying 4378090 relations
multiply complete, coefficients have about 118.16 million bits
initial square root is modulo 302664391
Newton iteration failed to converge
algebraic square root failed
reading relations for dependency 5
read 1281854 cycles
cycles contain 4375934 unique relations
read 4375934 relations
multiplying 4375934 relations
multiply complete, coefficients have about 118.10 million bits
initial square root is modulo 299820881
found factor: 36034699242317366068902374481223077128594900329823
reading relations for dependency 6
read 1282191 cycles
cycles contain 4377470 unique relations
read 4377470 relations
multiplying 4377470 relations
multiply complete, coefficients have about 118.14 million bits
initial square root is modulo 302068951
GCD is 1, no factor found
reading relations for dependency 7
read 1280440 cycles
cycles contain 4374200 unique relations
read 4374200 relations
multiplying 4374200 relations
multiply complete, coefficients have about 118.06 million bits
initial square root is modulo 297634021
sqrtTime: 2191
p50 factor: 36034699242317366068902374481223077128594900329823
p55 factor: 8429809986208871681768892434729899638511599457970377903
p58 factor: 5167175526812459464017775370980410433379549046424667627741
elapsed time 00:36:32
software ソフトウェア
CADO-NFS/Msieve

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)
4511e6415232Ignacio 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)
2820Edwin HallDecember 28, 2020 22:14:42 UTC 2020 年 12 月 29 日 (火) 7 時 14 分 42 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

c146

name 名前Eric Jeancolas
date 日付December 26, 2021 04:05:01 UTC 2021 年 12 月 26 日 (日) 13 時 5 分 1 秒 (日本時間)
composite number 合成数
40458423113822213536941638873048793751943159469474842939403951714430353380735137665802204352540156593034146918347007269008239487857621648705423439<146>
prime factors 素因数
149230755068259775151580267715118147061952175255612890153535764547<66>
271113170306724572231592151693940937559332254567383544493374727015199940673381637<81>
factorization results 素因数分解の結果
40458423113822213536941638873048793751943159469474842939403951714430353380735137665802204352540156593034146918347007269008239487857621648705423439=149230755068259775151580267715118147061952175255612890153535764547*271113170306724572231592151693940937559332254567383544493374727015199940673381637

cado polynomial
n: 40458423113822213536941638873048793751943159469474842939403951714430353380735137665802204352540156593034146918347007269008239487857621648705423439
skew: 0.58
type: snfs
c0: 17
c5: 250
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 250*x^5+17
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16500000
tasks.lim1 = 16500000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 271113170306724572231592151693940937559332254567383544493374727015199940673381637 149230755068259775151580267715118147061952175255612890153535764547
Info:Square Root: Total cpu/real time for sqrt: 1232.09/390.243
Info:Generate Factor Base: Total cpu/real time for makefb: 6.88/3.01454
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 217.83/265.97
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 265.3s
Info:Generate Free Relations: Total cpu/real time for freerel: 234.04/60.9462
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 916.85/923.928
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 758.6999999999999s
Info:Filtering - Merging: Merged matrix has 3991035 rows and total weight 679099173 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1169.38/322.316
Info:Filtering - Merging: Total cpu/real time for replay: 163.4/143.532
Info:Quadratic Characters: Total cpu/real time for characters: 144.63/61.1724
Info:Linear Algebra: Total cpu/real time for bwc: 305035/78097.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 196912.23, WCT time 50250.59, iteration CPU time 0.38, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (124928 iterations)
Info:Linear Algebra: Lingen CPU time 883.72, WCT time 224.42
Info:Linear Algebra: Mksol: CPU time 105585.19,  WCT time 26989.42, iteration CPU time 0.41, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (62464 iterations)
Info:Square Root: Total cpu/real time for sqrt: 1232.09/390.243
Info:Filtering - Singleton removal: Total cpu/real time for purge: 649.64/766.051
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 50716393
Info:Lattice Sieving: Average J: 1895 for 5832883 special-q, max bucket fill -bkmult 1.0,1s:1.153020
Info:Lattice Sieving: Total time: 1.56776e+06s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.25943e+06/865414
Info:root: Cleaning up computation data in /tmp/cado.5xiht0yv
271113170306724572231592151693940937559332254567383544493374727015199940673381637 149230755068259775151580267715118147061952175255612890153535764547
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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)
4511e662801500Dmitry 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)
4480Ignacio SantosAugust 25, 2021 15:18:46 UTC 2021 年 8 月 26 日 (木) 0 時 18 分 46 秒 (日本時間)
5043e6700 / 6064yoyo@HomeAugust 27, 2021 16:59:35 UTC 2021 年 8 月 28 日 (土) 1 時 59 分 35 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

name 名前Bob Backstrom
date 日付July 31, 2021 11:40:37 UTC 2021 年 7 月 31 日 (土) 20 時 40 分 37 秒 (日本時間)
composite number 合成数
1686780051688293317381284425255977893377334920745417825093089874889347255586273018671439775738763661115967149373587152486336000537577098377785577469207676248266432414081319452097981879320081<190>
prime factors 素因数
283699694711389066117202321574669734608488041034519053<54>
5945653390301578910402583533409575392124384653786647383113205472841778576815479785389221626611574322607979108255599766058779477449101077<136>
factorization results 素因数分解の結果
Number: n
N=1686780051688293317381284425255977893377334920745417825093089874889347255586273018671439775738763661115967149373587152486336000537577098377785577469207676248266432414081319452097981879320081
  ( 190 digits)
SNFS difficulty: 206 digits.
Divisors found:

Sat Jul 31 21:32:25 2021  p54 factor: 283699694711389066117202321574669734608488041034519053
Sat Jul 31 21:32:25 2021  p136 factor: 5945653390301578910402583533409575392124384653786647383113205472841778576815479785389221626611574322607979108255599766058779477449101077
Sat Jul 31 21:32:25 2021  elapsed time 02:29:24 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 25x10^205+17 = 83(204)9
#
n: 1686780051688293317381284425255977893377334920745417825093089874889347255586273018671439775738763661115967149373587152486336000537577098377785577469207676248266432414081319452097981879320081
m: 100000000000000000000000000000000000000000
deg: 5
c5: 25
c0: 17
skew: 0.93
# Murphy_E = 7.948e-12
type: snfs
lss: 1
rlim: 19300000
alim: 19300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19300000/19300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 51250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7272460 hash collisions in 54359812 relations (49191077 unique)
Msieve: matrix is 2561730 x 2561955 (892.8 MB)

Sieving start time : 2021/07/31 00:04:39
Sieving end time  : 2021/07/31 19:02:01

Total sieving time: 18hrs 57min 22secs.

Total relation processing time: 2hrs 11min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 17sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19300000,19300000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119240] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239968K/16727236K available (14339K kernel code, 2400K rwdata, 5012K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved)
[    0.152638] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.25 BogoMIPS (lpj=12798512)
[    0.150211] smpboot: Total of 16 processors activated (102388.09 BogoMIPS)

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

name 名前Bob Backstrom
date 日付June 27, 2021 17:30:41 UTC 2021 年 6 月 28 日 (月) 2 時 30 分 41 秒 (日本時間)
composite number 合成数
594506484264148113490020191883425580500689536794760584073263100506934660880839441840978509605100262727444426558362242743886413328450700906118727949870284521655603832340014474923317<180>
prime factors 素因数
174934404443781092071008979176186959573982621060641<51>
1222108757015025354123856253164731331839021458207476361<55>
2780811232177459727869783699663855844478470755444859260165181166048738297517<76>
factorization results 素因数分解の結果
#
# N = 25x10^206+17 = 83(205)9
#
n: 594506484264148113490020191883425580500689536794760584073263100506934660880839441840978509605100262727444426558362242743886413328450700906118727949870284521655603832340014474923317
m: 100000000000000000000000000000000000000000
deg: 5
c5: 250
c0: 17
skew: 0.58
# Murphy_E = 6.517e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 594506484264148113490020191883425580500689536794760584073263100506934660880839441840978509605100262727444426558362242743886413328450700906118727949870284521655603832340014474923317 (180 d
igits)
Using B1=40580000, B2=192393771586, polynomial Dickson(12), sigma=1:924637615
Step 1 took 112358ms
Step 2 took 33162ms
********** Factor found in step 2: 1222108757015025354123856253164731331839021458207476361
Found prime factor of 55 digits: 1222108757015025354123856253164731331839021458207476361
Composite cofactor 486459556771540985187943983808283104772562035010820962288523106369602467421577717492067910845744940593525253645246991156728397 has 126 digits



CADO

STA:Sun 27 Jun 2021 23:49:30 AEST (486459556771540985187943983808283104772562035010820962288523106369602467421577717492067910845744940593525253645246991156728397 - C126)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors 486459556771540985187943983808283104772562035010820962288523106369602467421577717492067910845744940593525253645246991156728397 2>&1 | tee -
a log13

Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.qq3_k36l
Info:Database: Opened connection to database /tmp/cado.qq3_k36l/c125.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors 4864595567715409851879439838082831047725620350108209622885231063696024674215777174920679108457449405935
25253645246991156728397
Info:root: If this computation gets interrupted, it can be resumed with /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py /tmp/cado.qq3_k36l/c125.parameters_snapshot.0
Info:Server Launcher: Adding linux-6 to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,linux-6
Info:Complete Factorization: Factoring 486459556771540985187943983808283104772562035010820962288523106369602467421577717492067910845744940593525253645246991156728397
...
n: 486459556771540985187943983808283104772562035010820962288523106369602467421577717492067910845744940593525253645246991156728397
skew: 121039.981
c0: 80526039575353220498381826549
c1: 26920610064654611558618557
c2: 279740752903910580601
c3: -4449048810501917
c4: -7883864910
c5: 43200
Y0: -2025490263590375328756762
Y1: 98227153264526101
# MurphyE (Bf=9.21e+06,Bg=2.38e+06,area=3.09e+14) = 5.09e-10
# f(x) = 43200*x^5-7883864910*x^4-4449048810501917*x^3+279740752903910580601*x^2+26920610064654611558618557*x+80526039575353220498381826549
# g(x) = 98227153264526101*x-2025490263590375328756762
...
Info:Square Root: Factors: 2780811232177459727869783699663855844478470755444859260165181166048738297517 174934404443781092071008979176186959573982621060641
Info:Square Root: Total cpu/real time for sqrt: 669.13/94.3956
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21528.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21888/37.810/44.773/49.370/0.856
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 21888/36.830/40.580/45.580/1.400
Info:Polynomial Selection (size optimized): Total time: 1747.18
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1131.27
Info:Polynomial Selection (root optimized): Rootsieve time: 1130.34
Info:Generate Factor Base: Total cpu/real time for makefb: 11.67/1.06225
Info:Generate Free Relations: Total cpu/real time for freerel: 149/9.88599
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13063389
Info:Lattice Sieving: Average J: 3795.08 for 252020 special-q, max bucket fill: 0.732865
Info:Lattice Sieving: Total CPU time: 171332s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 34.24/40.9688
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 187.48/55.818
Info:Filtering - Singleton removal: Total cpu/real time for purge: 118.06/48.7767
Info:Filtering - Merging: Total cpu/real time for merge: 283.88/229.232
Info:Filtering - Merging: Total cpu/real time for replay: 25.2/19.3842
Info:Linear Algebra: Total cpu/real time for bwc: 12240.7/0.000290394
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 531.19
Info:Linear Algebra: Lingen CPU time 179.44, WCT time 17.74
Info:Linear Algebra: Mksol: WCT time 286.3
Info:Quadratic Characters: Total cpu/real time for characters: 27.76/6.75908
Info:Square Root: Total cpu/real time for sqrt: 669.13/94.3956
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 187957/12835.4
Info:root: Cleaning up computation data in /tmp/cado.qq3_k36l
2780811232177459727869783699663855844478470755444859260165181166048738297517 174934404443781092071008979176186959573982621060641

END:Mon 28 Jun 2021 03:23:26 AEST (486459556771540985187943983808283104772562035010820962288523106369602467421577717492067910845744940593525253645246991156728397 - C126)

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)
4511e6186767CypMarch 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)
5043e66000 / 7055yoyo@HomeMarch 22, 2021 13:04:04 UTC 2021 年 3 月 22 日 (月) 22 時 4 分 4 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

name 名前Erik Branger
date 日付September 22, 2020 20:34:29 UTC 2020 年 9 月 23 日 (水) 5 時 34 分 29 秒 (日本時間)
composite number 合成数
69247468265510970897509694849956502894226023127778321606863733717638492870008399625256594979871041267618379284564724011538230777179649325341698603618471389140816035286222021015810213937<185>
prime factors 素因数
566560800417633687049842172979492191128587026738931695505987625853<66>
122224248861668522069500033980781143781341527526288342830462221770412379061436302271017508429463003959638465112673791429<120>
factorization results 素因数分解の結果
Number: 83339_219
N = 69247468265510970897509694849956502894226023127778321606863733717638492870008399625256594979871041267618379284564724011538230777179649325341698603618471389140816035286222021015810213937 (185 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=566560800417633687049842172979492191128587026738931695505987625853 (pp66)
r2=122224248861668522069500033980781143781341527526288342830462221770412379061436302271017508429463003959638465112673791429 (pp120)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 61.54 hours.
Factorization parameters were as follows:
n: 69247468265510970897509694849956502894226023127778321606863733717638492870008399625256594979871041267618379284564724011538230777179649325341698603618471389140816035286222021015810213937
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 5
c0: 34
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 7143572 relations
Pruned matrix : 6249113 x 6249338
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 31.78 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 28.90 hours.
time per square root: 0.51 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 61.54 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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

name 名前Bob Backstrom
date 日付December 9, 2018 06:22:25 UTC 2018 年 12 月 9 日 (日) 15 時 22 分 25 秒 (日本時間)
composite number 合成数
19416420078131674394401857763073075638606056369750770831877101827473457753753194001102852660437879105602025520942550696272824001801843783250619383800492400413181419262642031112871533198195049589536879548296403302344726888635181<227>
prime factors 素因数
3198999230710077177468545746593706269395167846691<49>
741591896711944961206989733118242370791911331728659<51>
1136910561476980291570323789572680395448741484098004887388429<61>
7198860323558943826704478734756803961564841317368755978932360407881<67>
factorization results 素因数分解の結果
Number: n
N=19416420078131674394401857763073075638606056369750770831877101827473457753753194001102852660437879105602025520942550696272824001801843783250619383800492400413181419262642031112871533198195049589536879548296403302344726888635181
  ( 227 digits)
SNFS difficulty: 232 digits.
Divisors found:

Sun Dec  9 16:49:36 2018  found factor: 3636976011551021857986395017454080548183908911822802604242055739940899402037969298545115545119880430439338439
Sun Dec  9 17:03:54 2018  found factor: 3198999230710077177468545746593706269395167846691
Sun Dec  9 17:18:04 2018  p49 factor: 3198999230710077177468545746593706269395167846691
Sun Dec  9 17:18:04 2018  p51 factor: 741591896711944961206989733118242370791911331728659
Sun Dec  9 17:18:04 2018  p61 factor: 1136910561476980291570323789572680395448741484098004887388429
Sun Dec  9 17:18:04 2018  p67 factor: 7198860323558943826704478734756803961564841317368755978932360407881
Sun Dec  9 17:18:04 2018  elapsed time 26:26:25 (Msieve 1.54 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.102).
Factorization parameters were as follows:
#
# N = 25x10^230+17 = 83(229)9
#
n: 19416420078131674394401857763073075638606056369750770831877101827473457753753194001102852660437879105602025520942550696272824001801843783250619383800492400413181419262642031112871533198195049589536879548296403302344726888635181
m: 500000000000000000000000000000000000000
deg: 6
c6: 4
c0: 425
skew: 2.18
# Murphy_E = 8.083e-13
type: snfs
lss: 1
rlim: 53000000
alim: 53000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
Factor base limits: 53000000/53000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved  special-q in [100000, 102500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 21195443 hash collisions in 117019808 relations (98310408 unique)
Msieve: matrix is 7093677 x 7093902 (2482.3 MB)

Sieving start time: 2018/12/06 08:36:09
Sieving end time  : 2018/12/08 14:47:32

Total sieving time: 54hrs 11min 23secs.

Total relation processing time: 25hrs 1min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 42min 58sec.

Prototype def-par.txt line would be:
snfs,232,6,0,0,0,0,0,0,0,0,53000000,53000000,30,30,60,60,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.044000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285112K/16703460K available (12300K kernel code, 2472K rwdata, 4252K rodata, 2408K init, 2416K bss, 418348K reserved, 0K cma-reserved)
[    0.076563] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.93 BogoMIPS (lpj=11977860)
[    0.074212] smpboot: Total of 16 processors activated (95822.88 BogoMIPS)

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)

25×10251+173

c236

composite cofactor 合成数の残り
60728775465766009553554802441084889572910204831454745282450633778351361919590117784034305602825050493516781280856966084573335462565235094349218511749593808272750266875276971901446336271257563196136162565650434815923754513373623338916337<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 9, 2021 03:22:57 UTC 2021 年 5 月 9 日 (日) 12 時 22 分 57 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 19, 2022 10:54:25 UTC 2022 年 2 月 19 日 (土) 19 時 54 分 25 秒 (日本時間)

25×10253+173

c197

composite cofactor 合成数の残り
17897266348588842850722685880929568559184441379911271337372463869795079382104106232775123171885588261233537481421954851580858761171542582303318293536483902270530726976166031302420256620484524156501<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 9, 2021 03:23:15 UTC 2021 年 5 月 9 日 (日) 12 時 23 分 15 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 17, 2022 16:40:49 UTC 2022 年 2 月 18 日 (金) 1 時 40 分 49 秒 (日本時間)

25×10255+173

c223

composite cofactor 合成数の残り
4971752019762432121375223684365972342783725826413427989156376339580191875091156502120497478965825187510925401198180639184797536855307250608844155866882475950671110960245371457344050172993275797969144642077551445567063543221<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 9, 2021 03:23:44 UTC 2021 年 5 月 9 日 (日) 12 時 23 分 44 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 16, 2022 22:14:14 UTC 2022 年 2 月 17 日 (木) 7 時 14 分 14 秒 (日本時間)

25×10261+173

c220

composite cofactor 合成数の残り
1918088253595200861856503298961698465971603562872657581407043078340570328871925948774282966989976513733127770598017678079301380943498701118215951418310510504165983330529244741600444304044555757838165355987568197203304399<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 9, 2021 03:24:14 UTC 2021 年 5 月 9 日 (日) 12 時 24 分 14 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 18, 2022 18:48:54 UTC 2022 年 2 月 19 日 (土) 3 時 48 分 54 秒 (日本時間)

25×10262+173

c208

name 名前Eric Jeancolas
date 日付May 9, 2021 03:30:42 UTC 2021 年 5 月 9 日 (日) 12 時 30 分 42 秒 (日本時間)
composite number 合成数
4729995440932185559518512286686709457135119316167093456558811089641198862304271544585954898409120046884287245537301605689916653272921219801985307706077342933598602061125755358889415974589205720052945383443453<208>
prime factors 素因数
4511838342929599863372392212713722803<37>
composite cofactor 合成数の残り
1048352153029696812061878815713235061603406683317159000141826500675324625077655590734956003959662248630062364224513849272425981172404332657749600979992182371745167500593551<172>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 4729995440932185559518512286686709457135119316167093456558811089641198862304271544585954898409120046884287245537301605689916653272921219801985307706077342933598602061125755358889415974589205720052945383443453 (208 digits)
Run 9 out of 1200:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:536035914
Step 1 took 3426ms
Step 2 took 1905ms
********** Factor found in step 2: 4511838342929599863372392212713722803
Found prime factor of 37 digits: 4511838342929599863372392212713722803
Composite cofactor 1048352153029696812061878815713235061603406683317159000141826500675324625077655590734956003959662248630062364224513849272425981172404332657749600979992182371745167500593551 has 172 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

c172

name 名前Ignacio Santos
date 日付May 12, 2021 21:28:09 UTC 2021 年 5 月 13 日 (木) 6 時 28 分 9 秒 (日本時間)
composite number 合成数
1048352153029696812061878815713235061603406683317159000141826500675324625077655590734956003959662248630062364224513849272425981172404332657749600979992182371745167500593551<172>
prime factors 素因数
16458945255778091190919168424764945313518223<44>
63694977821355923266499130568726240875645636906808110743638993733830033628372179898690418048340959714427656608855163951977339137<128>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3000008218
Step 1 took 26203ms
Step 2 took 11969ms
********** Factor found in step 2: 16458945255778091190919168424764945313518223
Found prime factor of 44 digits: 16458945255778091190919168424764945313518223
Prime cofactor 63694977821355923266499130568726240875645636906808110743638993733830033628372179898690418048340959714427656608855163951977339137 has 128 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e69139Eric JeancolasMay 9, 2021 03:24:35 UTC 2021 年 5 月 9 日 (日) 12 時 24 分 35 秒 (日本時間)
904Ignacio SantosMay 11, 2021 17:40:01 UTC 2021 年 5 月 12 日 (水) 2 時 40 分 1 秒 (日本時間)
403e62350Ignacio SantosMay 11, 2021 18:22:46 UTC 2021 年 5 月 12 日 (水) 3 時 22 分 46 秒 (日本時間)

25×10263+173

c249

composite cofactor 合成数の残り
465077034393497794947784150260791152081085883053045582763266324036773339663848392365353222439469548011041019151214708558498973931298773740895890278456851596048874164169906241802758785050700368016262429980882252117079510111400774290286861135973291331<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 12, 2021 08:56:58 UTC 2021 年 5 月 12 日 (水) 17 時 56 分 58 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 17:12:07 UTC 2022 年 2 月 21 日 (月) 2 時 12 分 7 秒 (日本時間)

25×10264+173

c255

composite cofactor 合成数の残り
776849259958947120570256446225343696350695914262341831079720680083659507097757639163068836687471417290014296113621836284717616266775566042266296159872209529751898605507062583706962410815825369928399885976340237858901439866788533918600055987768542210426171<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 12, 2021 08:56:40 UTC 2021 年 5 月 12 日 (水) 17 時 56 分 40 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 4, 2022 18:24:01 UTC 2022 年 3 月 5 日 (土) 3 時 24 分 1 秒 (日本時間)

25×10265+173

c241

composite cofactor 合成数の残り
9579230635313874239269693056535680388327420134454449030950085897080817474736059839593249977185621827395617973834352012118682481937862002881777849018432763595596924722454790792870477831382479705947435438780457640337363484206665871691326423957<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 12, 2021 08:56:29 UTC 2021 年 5 月 12 日 (水) 17 時 56 分 29 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 21, 2022 15:31:28 UTC 2022 年 2 月 22 日 (火) 0 時 31 分 28 秒 (日本時間)

25×10266+173

c258

composite cofactor 合成数の残り
909746813717224611130625847413008971651244531330408256426276183887471343844176114524698888915554174496816553724201619560462457187301300265204041823580661356086598957857586923017496455596392112840246622914387825952417150686814867195529490765920460343357828743<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 12, 2021 08:56:16 UTC 2021 年 5 月 12 日 (水) 17 時 56 分 16 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 17:05:03 UTC 2022 年 3 月 6 日 (日) 2 時 5 分 3 秒 (日本時間)

25×10267+173

c192

composite cofactor 合成数の残り
787226341629717539162356769154150137216218259155355484764956230058668791030651397682551754758759530067936541577109812864512930567495450015859297768739408265525501174032953315116341778486312277<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 12, 2021 08:56:06 UTC 2021 年 5 月 12 日 (水) 17 時 56 分 6 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 19, 2022 21:49:28 UTC 2022 年 2 月 20 日 (日) 6 時 49 分 28 秒 (日本時間)

25×10268+173

c269

name 名前Ignacio Santos
date 日付March 28, 2021 22:33:12 UTC 2021 年 3 月 29 日 (月) 7 時 33 分 12 秒 (日本時間)
composite number 合成数
83333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333339<269>
prime factors 素因数
66595925443774504298934974439008281<35>
composite cofactor 合成数の残り
1251327806889474935823523209573138434347459624546696246380423187895854395414911981725525852634219831237451804172771795952923343054865920366460062076305161495812463352796255278975080125408061954477754377417179775134006877688655461296019<235>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3336698065
Step 1 took 15235ms
Step 2 took 5969ms
********** Factor found in step 2: 66595925443774504298934974439008281
Found prime factor of 35 digits: 66595925443774504298934974439008281
Composite cofactor 1251327806889474935823523209573138434347459624546696246380423187895854395414911981725525852634219831237451804172771795952923343054865920366460062076305161495812463352796255278975080125408061954477754377417179775134006877688655461296019 has 235 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovFebruary 27, 2021 22:43:58 UTC 2021 年 2 月 28 日 (日) 7 時 43 分 58 秒 (日本時間)

25×10270+173

c190

composite cofactor 合成数の残り
1759767512909782836333651604792327026654385743346141026340679925149797569162458601513237362756022919020775813759466279658420078896277559619720079724563034071106897529211415926319616192223589<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 12, 2021 08:55:43 UTC 2021 年 5 月 12 日 (水) 17 時 55 分 43 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 04:00:04 UTC 2022 年 2 月 20 日 (日) 13 時 0 分 4 秒 (日本時間)

25×10272+173

c265

composite cofactor 合成数の残り
1316821239858021239891521172233509232576349531197970006074712338148388695102929376985424385388842908739352105103644268701973386255810096451588299397936108251664514588348009182270354433397927786994885603780528886681678776441855431319037339391718141564474451478599761<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 12, 2021 08:55:29 UTC 2021 年 5 月 12 日 (水) 17 時 55 分 29 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 21:42:51 UTC 2022 年 3 月 6 日 (日) 6 時 42 分 51 秒 (日本時間)

25×10273+173

c242

composite cofactor 合成数の残り
94082921591196000707683828919746584349874114164854436925848775486058965040983261274541957846219674620904097801152965123740456451307619328012592174232552794513190394819239485724189293475932925406190134570341508015116012770376022428128363006901<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 12, 2021 08:55:16 UTC 2021 年 5 月 12 日 (水) 17 時 55 分 16 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 23, 2022 20:57:41 UTC 2022 年 2 月 24 日 (木) 5 時 57 分 41 秒 (日本時間)

25×10274+173

c266

composite cofactor 合成数の残り
18972004050480671040614998158907779170905442087435791964339127185074963794645163437263103012188019961043155526320344891503097888872696384615825238719302871240251280208010005562953573438215920311772394356632813336056495871202478854911681210670614899163749523924783179<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 12, 2021 08:55:03 UTC 2021 年 5 月 12 日 (水) 17 時 55 分 3 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 02:11:10 UTC 2022 年 3 月 5 日 (土) 11 時 11 分 10 秒 (日本時間)

25×10275+173

c264

composite cofactor 合成数の残り
169393487856090590651840798177965705302936376797954384223434941552091760440427912716408581922220491551992052313247771485562228621505438499722452281776434916688557419236253899996989099669404589123059430607296990311807851349051897300190121376183190011183211435157847<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 12, 2021 08:54:52 UTC 2021 年 5 月 12 日 (水) 17 時 54 分 52 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 6, 2022 05:25:39 UTC 2022 年 3 月 6 日 (日) 14 時 25 分 39 秒 (日本時間)

25×10276+173

c256

composite cofactor 合成数の残り
4709588613675168987784911817281628497841856380012524440647993728266604200585899355880531402341375299491125633241887610474449128499424196295832187068155314139015700156677489975203195960813615720671874707926753973046889216047374086435453471142853649580287501<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 12, 2021 08:54:41 UTC 2021 年 5 月 12 日 (水) 17 時 54 分 41 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 22:54:27 UTC 2022 年 3 月 6 日 (日) 7 時 54 分 27 秒 (日本時間)

25×10277+173

c245

composite cofactor 合成数の残り
66137554842049577884257928509324625008774704287689548460657102984052392276418649395584234954044607368027444066703438284690800859467845115170918920540458267082036084618973852904516306384122626985926639314710300667973607862024545108661256727824321<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 12, 2021 08:54:29 UTC 2021 年 5 月 12 日 (水) 17 時 54 分 29 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 22, 2022 05:03:31 UTC 2022 年 2 月 22 日 (火) 14 時 3 分 31 秒 (日本時間)

25×10278+173

c215

composite cofactor 合成数の残り
46668537151023525976154674103024303292843792356715255268508177906709924513581466170564488691178745995126907084316648250367026923724032008768939476046377845989219361101430429851448650247179940612912076594077438478277<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 12, 2021 08:54:14 UTC 2021 年 5 月 12 日 (水) 17 時 54 分 14 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 22, 2022 19:22:17 UTC 2022 年 2 月 23 日 (水) 4 時 22 分 17 秒 (日本時間)

25×10280+173

c252

composite cofactor 合成数の残り
969207913650160668909940607949697654913346508481232469565581985603315229419152814862860083966084147896398919956897372633075658981473221398586691089615128530447973350429780531013516647065642965017352150882705225090531196818212484686221202471855131063823<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 12, 2021 08:51:08 UTC 2021 年 5 月 12 日 (水) 17 時 51 分 8 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 2, 2022 06:43:54 UTC 2022 年 3 月 2 日 (水) 15 時 43 分 54 秒 (日本時間)

25×10281+173

c217

composite cofactor 合成数の残り
1349174325177971717374064425476355805192680601651151717488358546799592260955334987420120804093806050442165327116721921904668714008680005542760248708657323229714508898294102708467745990504554895288766559155951205286899<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 12, 2021 08:51:24 UTC 2021 年 5 月 12 日 (水) 17 時 51 分 24 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 22, 2022 12:09:57 UTC 2022 年 2 月 22 日 (火) 21 時 9 分 57 秒 (日本時間)

25×10282+173

c261

composite cofactor 合成数の残り
121860253733592500153747259096088980033029206705566372092762035764300483867091609833926470870401095241859579676225143429998657676783976228979414593183816608383947487623792589286913813446606723718328686775614470499783336133978345709841661438636034954103554504123<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 12, 2021 08:51:41 UTC 2021 年 5 月 12 日 (水) 17 時 51 分 41 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 4, 2022 23:01:48 UTC 2022 年 3 月 5 日 (土) 8 時 1 分 48 秒 (日本時間)

25×10283+173

c260

composite cofactor 合成数の残り
37518790511331728587714620605369504314325342155793905045769983169496685325391444090661803013271863879503743233819852401691661496008787543398921010708960085896218441330246973921031994489299521934900291971412036463857276802786391075067823964694355620028693560789<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 12, 2021 08:53:40 UTC 2021 年 5 月 12 日 (水) 17 時 53 分 40 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 23:18:21 UTC 2022 年 3 月 6 日 (日) 8 時 18 分 21 秒 (日本時間)

25×10284+173

c214

composite cofactor 合成数の残り
1241579046884839097444929148333722802708841339546657807039303347989467796676703616043897422244524209511798751463424965679286959905506425383401498731848879677411139459644172993252054298467842474137940912947565718359<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 12, 2021 08:50:55 UTC 2021 年 5 月 12 日 (水) 17 時 50 分 55 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 22, 2022 10:14:45 UTC 2022 年 2 月 22 日 (火) 19 時 14 分 45 秒 (日本時間)

25×10285+173

c230

composite cofactor 合成数の残り
16364834020407473162205154855567109974891564926999953266100309179030649547190932240233835103593616963416109792280905011417717760022569683841039780175279889238536074391048652892417723641921480856200374511099699328377941781290433729<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 12, 2021 08:50:33 UTC 2021 年 5 月 12 日 (水) 17 時 50 分 33 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 23, 2022 19:00:01 UTC 2022 年 2 月 24 日 (木) 4 時 0 分 1 秒 (日本時間)

25×10286+173

c265

composite cofactor 合成数の残り
2171554371409463317616568092991215177920768751692839325692173415781769421766253384731628354544537245101265841335262988621782530888849665714280984307844671992722792260908450969949362360660435923482143786433218911392056609059834040866618127979952744264900313907941267<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 12, 2021 08:45:30 UTC 2021 年 5 月 12 日 (水) 17 時 45 分 30 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 6, 2022 11:25:51 UTC 2022 年 3 月 6 日 (日) 20 時 25 分 51 秒 (日本時間)

25×10287+173

c263

name 名前Eric Jeancolas
date 日付May 12, 2021 01:01:04 UTC 2021 年 5 月 12 日 (水) 10 時 1 分 4 秒 (日本時間)
composite number 合成数
19668198509506717609937418039333931818702724552697870173414968010016703726229457681726786009263571203973643307718577771995244957939791033788569297899639686791032853587560675063580424938628767615904190612485068170835622374337887687960829662199915637829072547566119<263>
prime factors 素因数
638921596986057258591504246194086190753<39>
composite cofactor 合成数の残り
30783430396289958280466948893893211771760428721677615111804041997812616418855671335792479916231403243149494220745024411876122644256714253715278900852821834950630383727643974265170970189634138617517254014520867449893257159623<224>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 19668198509506717609937418039333931818702724552697870173414968010016703726229457681726786009263571203973643307718577771995244957939791033788569297899639686791032853587560675063580424938628767615904190612485068170835622374337887687960829662199915637829072547566119 (263 digits)
Run 561 out of 1200:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3641563213
Step 1 took 5261ms
Step 2 took 2607ms
********** Factor found in step 2: 638921596986057258591504246194086190753
Found prime factor of 39 digits: 638921596986057258591504246194086190753
Composite cofactor 30783430396289958280466948893893211771760428721677615111804041997812616418855671335792479916231403243149494220745024411876122644256714253715278900852821834950630383727643974265170970189634138617517254014520867449893257159623 has 224 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61465561Eric JeancolasMay 12, 2021 00:59:13 UTC 2021 年 5 月 12 日 (水) 9 時 59 分 13 秒 (日本時間)
904Ignacio SantosFebruary 10, 2022 13:21:35 UTC 2022 年 2 月 10 日 (木) 22 時 21 分 35 秒 (日本時間)
403e62350Ignacio SantosFebruary 10, 2022 13:21:35 UTC 2022 年 2 月 10 日 (木) 22 時 21 分 35 秒 (日本時間)

25×10289+173

c280

composite cofactor 合成数の残り
5968491115964466695382953919178575166483086372546981536649137487345723610480789607112964452192880626739614962190384803580001184708720613672297918672793960805030523867109138520945618588032551204087022996175347943627899261296263152853966624290740240182357383236094970915501370576809<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 11:05:11 UTC 2021 年 5 月 13 日 (木) 20 時 5 分 11 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 9, 2022 00:42:59 UTC 2022 年 3 月 9 日 (水) 9 時 42 分 59 秒 (日本時間)

25×10290+173

c229

composite cofactor 合成数の残り
1630961779440527626544338705114672726751603267431864748955508364400147457948516073378404262749912783125465623898855840188042727480770796646441141542226554659702218573790489114830448188085400127267212874476008291286569631478453667<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 11:04:57 UTC 2021 年 5 月 13 日 (木) 20 時 4 分 57 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 16, 2022 21:29:21 UTC 2022 年 2 月 17 日 (木) 6 時 29 分 21 秒 (日本時間)

25×10291+173

c258

composite cofactor 合成数の残り
358188468232644890158837803952587825659377118733221503509228475201664859201803202997026564770021660037830019377198284637470631854826337367685371898386041186451983467613551499967257344583284770496295511045684663947563009941294735721106232848653133712828384493<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 11:04:49 UTC 2021 年 5 月 13 日 (木) 20 時 4 分 49 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 09:30:59 UTC 2022 年 3 月 5 日 (土) 18 時 30 分 59 秒 (日本時間)

25×10292+173

c280

composite cofactor 合成数の残り
5606010271734464451209616457412718485566075103916857987727394334698921532597480947226305295734977894869818134756463117759436879499899668950177499944192201324884934077650330912058967378373450881297551194153135885164300989532057429273004666527016509088550738710036853918881243605407<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 11:04:35 UTC 2021 年 5 月 13 日 (木) 20 時 4 分 35 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 9, 2022 11:23:58 UTC 2022 年 3 月 9 日 (水) 20 時 23 分 58 秒 (日本時間)

25×10293+173

c286

composite cofactor 合成数の残り
5279617374218073619968786775372805767524977653333113363355053911514030953801124200753835172664384862498162508367164012747674163294633125544699444402422209890584723811906214236993825738790638975681750814380452011400434072823363222577752360151050528867402986180730345648123220728027853859<286>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 11:04:25 UTC 2021 年 5 月 13 日 (木) 20 時 4 分 25 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 9, 2022 16:16:42 UTC 2022 年 3 月 10 日 (木) 1 時 16 分 42 秒 (日本時間)

25×10294+173

c251

name 名前Marlon Trifunovic
date 日付April 15, 2022 00:55:09 UTC 2022 年 4 月 15 日 (金) 9 時 55 分 9 秒 (日本時間)
composite number 合成数
58909602410250483056230689549784584138608874329212878244800446591357645299975924646842342444981827976121251474949057207923657332287340321336381841976401255635753945874514555535664170356066705654547423650107393011287731364397744001480278265437857362879<251>
prime factors 素因数
129799998394439395902657021355433896976551<42>
453849022642007658076434488000834885061524773275716457813806399867162857203894622947403292188718032471958142368320305420563073906641759779586084262827456905032988365428299400247359771932155267284362349505797929<210>
factorization results 素因数分解の結果
Run 290 out of 587:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2997282466
Step 1 took 26374ms
Step 2 took 9947ms
********** Factor found in step 2: 129799998394439395902657021355433896976551
Found prime factor of 42 digits: 129799998394439395902657021355433896976551
Prime cofactor 453849022642007658076434488000834885061524773275716457813806399867162857203894622947403292188718032471958142368320305420563073906641759779586084262827456905032988365428299400247359771932155267284362349505797929 has 210 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 11:04:15 UTC 2021 年 5 月 13 日 (木) 20 時 4 分 15 秒 (日本時間)

25×10296+173

c254

composite cofactor 合成数の残り
17203608188469721596786055640610249873609771464665111100202040958596935025097860540491074000729376344689939064545852920046229198902501169322593561747927761844363914650769416006354206285047630862540258991360474344709575669214194348398825799978207752296493<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 11:04:03 UTC 2021 年 5 月 13 日 (木) 20 時 4 分 3 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 4, 2022 21:03:07 UTC 2022 年 3 月 5 日 (土) 6 時 3 分 7 秒 (日本時間)

25×10300+173

c291

composite cofactor 合成数の残り
464911721000406042683451044107885976617084643729767605723751972264844474915678544136342618674282197074566155647238332641806623748340770584806036019049383086337448951716487085455160464418768035971152950221932177362514676210704302334348438935471047622081893289431457680983723294051811918597619<291>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 21, 2021 21:20:33 UTC 2021 年 1 月 22 日 (金) 6 時 20 分 33 秒 (日本時間)
4511e62000Dmitry DomanovMarch 14, 2021 22:57:36 UTC 2021 年 3 月 15 日 (月) 7 時 57 分 36 秒 (日本時間)
5043e6640 / 7059Dmitry DomanovJune 1, 2021 12:01:45 UTC 2021 年 6 月 1 日 (火) 21 時 1 分 45 秒 (日本時間)