Table of contents 目次

26×10109+19

c86

name 名前Sinkiti Sibata
date 日付October 23, 2008 23:53:01 UTC 2008 年 10 月 24 日 (金) 8 時 53 分 1 秒 (日本時間)
composite number 合成数
32815312661361285664799561745417563767797352627553000827562716332375330588420695614087<86>
prime factors 素因数
2352715497850448405626204828134063318937<40>
13947845666568227036142246713980273600953265951<47>
factorization results 素因数分解の結果
Fri Oct 24 07:38:35 2008  Msieve v. 1.38
Fri Oct 24 07:38:35 2008  random seeds: 27520f42 5012447c
Fri Oct 24 07:38:35 2008  factoring 32815312661361285664799561745417563767797352627553000827562716332375330588420695614087 (86 digits)
Fri Oct 24 07:38:36 2008  searching for 15-digit factors
Fri Oct 24 07:38:38 2008  commencing quadratic sieve (86-digit input)
Fri Oct 24 07:38:38 2008  using multiplier of 7
Fri Oct 24 07:38:38 2008  using 64kb Pentium 4 sieve core
Fri Oct 24 07:38:38 2008  sieve interval: 8 blocks of size 65536
Fri Oct 24 07:38:38 2008  processing polynomials in batches of 13
Fri Oct 24 07:38:38 2008  using a sieve bound of 1461403 (55577 primes)
Fri Oct 24 07:38:38 2008  using large prime bound of 116912240 (26 bits)
Fri Oct 24 07:38:38 2008  using double large prime bound of 332772803587280 (41-49 bits)
Fri Oct 24 07:38:38 2008  using trial factoring cutoff of 49 bits
Fri Oct 24 07:38:38 2008  polynomial 'A' values have 11 factors
Fri Oct 24 08:44:54 2008  55888 relations (15735 full + 40153 combined from 584474 partial), need 55673
Fri Oct 24 08:44:57 2008  begin with 600209 relations
Fri Oct 24 08:44:57 2008  reduce to 133634 relations in 11 passes
Fri Oct 24 08:44:57 2008  attempting to read 133634 relations
Fri Oct 24 08:45:01 2008  recovered 133634 relations
Fri Oct 24 08:45:01 2008  recovered 114115 polynomials
Fri Oct 24 08:45:01 2008  attempting to build 55888 cycles
Fri Oct 24 08:45:01 2008  found 55887 cycles in 5 passes
Fri Oct 24 08:45:01 2008  distribution of cycle lengths:
Fri Oct 24 08:45:01 2008     length 1 : 15735
Fri Oct 24 08:45:01 2008     length 2 : 10950
Fri Oct 24 08:45:01 2008     length 3 : 9687
Fri Oct 24 08:45:01 2008     length 4 : 7328
Fri Oct 24 08:45:01 2008     length 5 : 5058
Fri Oct 24 08:45:01 2008     length 6 : 3109
Fri Oct 24 08:45:01 2008     length 7 : 1856
Fri Oct 24 08:45:01 2008     length 9+: 2164
Fri Oct 24 08:45:01 2008  largest cycle: 19 relations
Fri Oct 24 08:45:01 2008  matrix is 55577 x 55887 (12.5 MB) with weight 3052144 (54.61/col)
Fri Oct 24 08:45:01 2008  sparse part has weight 3052144 (54.61/col)
Fri Oct 24 08:45:02 2008  filtering completed in 3 passes
Fri Oct 24 08:45:02 2008  matrix is 51138 x 51202 (11.5 MB) with weight 2815779 (54.99/col)
Fri Oct 24 08:45:02 2008  sparse part has weight 2815779 (54.99/col)
Fri Oct 24 08:45:02 2008  saving the first 48 matrix rows for later
Fri Oct 24 08:45:03 2008  matrix is 51090 x 51202 (6.9 MB) with weight 2162007 (42.23/col)
Fri Oct 24 08:45:03 2008  sparse part has weight 1511643 (29.52/col)
Fri Oct 24 08:45:03 2008  matrix includes 64 packed rows
Fri Oct 24 08:45:03 2008  using block size 20480 for processor cache size 512 kB
Fri Oct 24 08:45:03 2008  commencing Lanczos iteration
Fri Oct 24 08:45:03 2008  memory use: 7.1 MB
Fri Oct 24 08:45:30 2008  lanczos halted after 809 iterations (dim = 51090)
Fri Oct 24 08:45:30 2008  recovered 18 nontrivial dependencies
Fri Oct 24 08:45:30 2008  prp40 factor: 2352715497850448405626204828134063318937
Fri Oct 24 08:45:30 2008  prp47 factor: 13947845666568227036142246713980273600953265951
Fri Oct 24 08:45:30 2008  elapsed time 01:06:55

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)

26×10118+19

c90

name 名前Sinkiti Sibata
date 日付October 24, 2008 02:38:54 UTC 2008 年 10 月 24 日 (金) 11 時 38 分 54 秒 (日本時間)
composite number 合成数
104886562851363485405548252303473041147564571797863156376514452609058806792242120949561759<90>
prime factors 素因数
310504758589188668868039465733010830759<39>
337793737293839609947074217344570551540349654109001<51>
factorization results 素因数分解の結果
Fri Oct 24 08:55:48 2008  Msieve v. 1.38
Fri Oct 24 08:55:48 2008  random seeds: a74e622f fe874ab3
Fri Oct 24 08:55:48 2008  factoring 104886562851363485405548252303473041147564571797863156376514452609058806792242120949561759 (90 digits)
Fri Oct 24 08:55:49 2008  searching for 15-digit factors
Fri Oct 24 08:55:51 2008  commencing quadratic sieve (90-digit input)
Fri Oct 24 08:55:51 2008  using multiplier of 41
Fri Oct 24 08:55:51 2008  using 64kb Pentium 4 sieve core
Fri Oct 24 08:55:51 2008  sieve interval: 17 blocks of size 65536
Fri Oct 24 08:55:51 2008  processing polynomials in batches of 6
Fri Oct 24 08:55:51 2008  using a sieve bound of 1561267 (59333 primes)
Fri Oct 24 08:55:51 2008  using large prime bound of 124901360 (26 bits)
Fri Oct 24 08:55:51 2008  using double large prime bound of 374818364744400 (42-49 bits)
Fri Oct 24 08:55:51 2008  using trial factoring cutoff of 49 bits
Fri Oct 24 08:55:51 2008  polynomial 'A' values have 12 factors
Fri Oct 24 11:06:35 2008  59936 relations (15999 full + 43937 combined from 627733 partial), need 59429
Fri Oct 24 11:06:37 2008  begin with 643732 relations
Fri Oct 24 11:06:38 2008  reduce to 145799 relations in 9 passes
Fri Oct 24 11:06:38 2008  attempting to read 145799 relations
Fri Oct 24 11:06:42 2008  recovered 145799 relations
Fri Oct 24 11:06:42 2008  recovered 126067 polynomials
Fri Oct 24 11:06:42 2008  attempting to build 59936 cycles
Fri Oct 24 11:06:42 2008  found 59936 cycles in 5 passes
Fri Oct 24 11:06:42 2008  distribution of cycle lengths:
Fri Oct 24 11:06:42 2008     length 1 : 15999
Fri Oct 24 11:06:42 2008     length 2 : 11788
Fri Oct 24 11:06:42 2008     length 3 : 10497
Fri Oct 24 11:06:42 2008     length 4 : 7907
Fri Oct 24 11:06:42 2008     length 5 : 5609
Fri Oct 24 11:06:42 2008     length 6 : 3532
Fri Oct 24 11:06:42 2008     length 7 : 2083
Fri Oct 24 11:06:42 2008     length 9+: 2521
Fri Oct 24 11:06:42 2008  largest cycle: 22 relations
Fri Oct 24 11:06:42 2008  matrix is 59333 x 59936 (14.6 MB) with weight 3594607 (59.97/col)
Fri Oct 24 11:06:42 2008  sparse part has weight 3594607 (59.97/col)
Fri Oct 24 11:06:43 2008  filtering completed in 3 passes
Fri Oct 24 11:06:43 2008  matrix is 55352 x 55416 (13.5 MB) with weight 3320978 (59.93/col)
Fri Oct 24 11:06:43 2008  sparse part has weight 3320978 (59.93/col)
Fri Oct 24 11:06:44 2008  saving the first 48 matrix rows for later
Fri Oct 24 11:06:44 2008  matrix is 55304 x 55416 (8.4 MB) with weight 2564229 (46.27/col)
Fri Oct 24 11:06:44 2008  sparse part has weight 1857421 (33.52/col)
Fri Oct 24 11:06:44 2008  matrix includes 64 packed rows
Fri Oct 24 11:06:44 2008  using block size 21845 for processor cache size 512 kB
Fri Oct 24 11:06:44 2008  commencing Lanczos iteration
Fri Oct 24 11:06:44 2008  memory use: 8.2 MB
Fri Oct 24 11:07:15 2008  lanczos halted after 876 iterations (dim = 55304)
Fri Oct 24 11:07:15 2008  recovered 19 nontrivial dependencies
Fri Oct 24 11:07:16 2008  prp39 factor: 310504758589188668868039465733010830759
Fri Oct 24 11:07:16 2008  prp51 factor: 337793737293839609947074217344570551540349654109001
Fri Oct 24 11:07:16 2008  elapsed time 02:11:28

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)

26×10122+19

c98

name 名前Serge Batalov
date 日付October 23, 2008 20:58:19 UTC 2008 年 10 月 24 日 (金) 5 時 58 分 19 秒 (日本時間)
composite number 合成数
16433473377158210321657583411718083856254605330843262406786521947163931345364981948759803801896461<98>
prime factors 素因数
46879667831372870430779365910146268011<38>
350545857881710086313544549379318576471907638151859610638951<60>
factorization results 素因数分解の結果
Using B1=4000000, B2=14268967450, polynomial Dickson(12), sigma=2427505608
Step 1 took 13613ms
Step 2 took 9084ms
********** Factor found in step 2: 46879667831372870430779365910146268011
Found probable prime factor of 38 digits: 46879667831372870430779365910146268011
Probable prime cofactor 350545857881710086313544549379318576471907638151859610638951 has 60 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)

26×10123+19

c96

name 名前Serge Batalov
date 日付October 23, 2008 18:33:14 UTC 2008 年 10 月 24 日 (金) 3 時 33 分 14 秒 (日本時間)
composite number 合成数
532682608805174772635544056255143438375530410677400458249658976841895032379807883250529611612969<96>
prime factors 素因数
2260206644216843897235550228849<31>
235678719982591680453016546251331940361325353146335698040419053881<66>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=1715797540
Step 1 took 8517ms
Step 2 took 8480ms
********** Factor found in step 2: 2260206644216843897235550228849
Found probable prime factor of 31 digits: 2260206644216843897235550228849
Probable prime cofactor 235678719982591680453016546251331940361325353146335698040419053881 has 66 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)

26×10124+19

c104

name 名前Sinkiti Sibata
date 日付October 25, 2008 04:04:47 UTC 2008 年 10 月 25 日 (土) 13 時 4 分 47 秒 (日本時間)
composite number 合成数
12381173545565578195482031153109208249880322714939240951946839415492096378310151279966671538102585107601<104>
prime factors 素因数
773275929802648482592761218854738987<36>
16011326705494942557586789847113370037134298211097213575458840860723<68>
factorization results 素因数分解の結果
Number: 28889_124
N=12381173545565578195482031153109208249880322714939240951946839415492096378310151279966671538102585107601
  ( 104 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=773275929802648482592761218854738987 (pp36)
 r2=16011326705494942557586789847113370037134298211097213575458840860723 (pp68)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 2.98 hours.
Scaled time: 1.41 units (timescale=0.473).
Factorization parameters were as follows:
name:  28889_124
n: 12381173545565578195482031153109208249880322714939240951946839415492096378310151279966671538102585107601
m: 10000000000000000000000000
c5: 13
c0: 5
skew: 0.83
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 650001)
Primes: RFBsize:49098, AFBsize:64323, largePrimes:2131178 encountered
Relations: rels:2175070, finalFF:179780
Max relations in full relation-set: 28
Initial matrix: 113486 x 179780 with sparse part having weight 16502796.
Pruned matrix : 98778 x 99409 with weight 6491834.
Total sieving time: 2.75 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.98 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)

26×10127+19

c128

name 名前Jo Yeong Uk
date 日付October 23, 2008 23:11:13 UTC 2008 年 10 月 24 日 (金) 8 時 11 分 13 秒 (日本時間)
composite number 合成数
28888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<128>
prime factors 素因数
458085681516861371474360406126427<33>
7023583414196555680661945198122510555776461537<46>
8978946353297513072321536821597066798123200152411<49>
factorization results 素因数分解の結果
Number: 28889_127
N=28888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
  ( 128 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=458085681516861371474360406126427 (pp33)
 r2=7023583414196555680661945198122510555776461537 (pp46)
 r3=8978946353297513072321536821597066798123200152411 (pp49)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.91 hours.
Scaled time: 4.57 units (timescale=2.386).
Factorization parameters were as follows:
n: 28888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
m: 20000000000000000000000000
c5: 325
c0: 4
skew: 0.41
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [500000, 950001)
Primes: RFBsize:78498, AFBsize:78521, largePrimes:1556455 encountered
Relations: rels:1594578, finalFF:212343
Max relations in full relation-set: 28
Initial matrix: 157086 x 212343 with sparse part having weight 10787721.
Pruned matrix : 132986 x 133835 with weight 5333440.
Total sieving time: 1.85 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,129,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,46,46,2.2,2.2,50000
total time: 1.91 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: 8047092k/8912896k available (2460k kernel code, 339200k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673800)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
Calibrating delay using timer specific routine.. 5344.40 BogoMIPS (lpj=2672204)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)

26×10128+19

c122

name 名前Serge Batalov
date 日付October 24, 2008 02:40:44 UTC 2008 年 10 月 24 日 (金) 11 時 40 分 44 秒 (日本時間)
composite number 合成数
10460096055142536651261318814623454062675761044303483385382570148029227584304823806460897990475945755921230053547283494347<122>
prime factors 素因数
608854427798862595293365769991723889<36>
17179962200419555232686564654540718862779882714985860187643887329996349818496153104123<86>
factorization results 素因数分解の結果
SNFS difficulty: 129 digits.
Divisors found:
 r1=608854427798862595293365769991723889
 r2=17179962200419555232686564654540718862779882714985860187643887329996349818496153104123
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.951).
Factorization parameters were as follows:
n: 10460096055142536651261318814623454062675761044303483385382570148029227584304823806460897990475945755921230053547283494347
m: 20000000000000000000000000
c5: 1625
c0: 2
skew: 0.26
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [400000, 950001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 111088 x 111310
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,129,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 2.00 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.8GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)

26×10132+19

c110

name 名前Sinkiti Sibata
date 日付October 24, 2008 12:16:48 UTC 2008 年 10 月 24 日 (金) 21 時 16 分 48 秒 (日本時間)
composite number 合成数
43008425517716697593767624874994058946918870477503849624665527408666408016173678755798405053073648918629132983<110>
prime factors 素因数
2726275397938340164900433126360846604110296672882596679<55>
15775524934216280471244052315246368790827525421860015377<56>
factorization results 素因数分解の結果
Number: 28889_132
N=43008425517716697593767624874994058946918870477503849624665527408666408016173678755798405053073648918629132983
  ( 110 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=2726275397938340164900433126360846604110296672882596679 (pp55)
 r2=15775524934216280471244052315246368790827525421860015377 (pp56)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 5.84 hours.
Scaled time: 4.59 units (timescale=0.786).
Factorization parameters were as follows:
name: 28889_132
n: 43008425517716697593767624874994058946918870477503849624665527408666408016173678755798405053073648918629132983
m: 100000000000000000000000000
c5: 2600
c0: 1
skew: 0.21
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 1150001)
Primes: RFBsize:63951, AFBsize:64003, largePrimes:1522242 encountered
Relations: rels:1518630, finalFF:162295
Max relations in full relation-set: 28
Initial matrix: 128021 x 162295 with sparse part having weight 14413076.
Pruned matrix : 119236 x 119940 with weight 8876334.
Total sieving time: 5.66 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,133,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 5.84 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)

26×10135+19

c125

name 名前Sinkiti Sibata
date 日付October 24, 2008 02:51:15 UTC 2008 年 10 月 24 日 (金) 11 時 51 分 15 秒 (日本時間)
composite number 合成数
32028135393994390893512870715772478008650433931356742226952684544130115555067978734842948059021629198081409882507694311802791<125>
prime factors 素因数
2984924145121567481231370167761731005911594902352492537<55>
10729966269440986387424384155216021254035129543325817268738099540010143<71>
factorization results 素因数分解の結果
Number: 28889_135
N=32028135393994390893512870715772478008650433931356742226952684544130115555067978734842948059021629198081409882507694311802791
  ( 125 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=2984924145121567481231370167761731005911594902352492537 (pp55)
 r2=10729966269440986387424384155216021254035129543325817268738099540010143 (pp71)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 5.86 hours.
Scaled time: 4.26 units (timescale=0.728).
Factorization parameters were as follows:
name: 28889_135
n: 32028135393994390893512870715772478008650433931356742226952684544130115555067978734842948059021629198081409882507694311802791
m: 1000000000000000000000000000
c5: 26
c0: 1
skew: 0.52
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1075001)
Primes: RFBsize:78498, AFBsize:63993, largePrimes:1584823 encountered
Relations: rels:1636631, finalFF:222218
Max relations in full relation-set: 28
Initial matrix: 142559 x 222218 with sparse part having weight 16894199.
Pruned matrix : 118197 x 118973 with weight 7602832.
Total sieving time: 5.70 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 5.86 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)

26×10136+19

c118

name 名前Sinkiti Sibata
date 日付October 24, 2008 09:00:01 UTC 2008 年 10 月 24 日 (金) 18 時 0 分 1 秒 (日本時間)
composite number 合成数
6338232417564141772974103575750162136421796142704203282418999024391507789321722903633658782706570980626231650996199033<118>
prime factors 素因数
109003884098615801826326739083592367603<39>
58146849261168928709085037160922928516795192130437343258069237123101709831491811<80>
factorization results 素因数分解の結果
Number: 28889_136
N=6338232417564141772974103575750162136421796142704203282418999024391507789321722903633658782706570980626231650996199033
  ( 118 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=109003884098615801826326739083592367603 (pp39)
 r2=58146849261168928709085037160922928516795192130437343258069237123101709831491811 (pp80)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 10.84 hours.
Scaled time: 8.22 units (timescale=0.759).
Factorization parameters were as follows:
name: 28889_136
n: 6338232417564141772974103575750162136421796142704203282418999024391507789321722903633658782706570980626231650996199033
m: 1000000000000000000000000000
c5: 260
c0: 1
skew: 0.33
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1375001)
Primes: RFBsize:78498, AFBsize:64178, largePrimes:1540035 encountered
Relations: rels:1534558, finalFF:167204
Max relations in full relation-set: 28
Initial matrix: 142743 x 167204 with sparse part having weight 14162172.
Pruned matrix : 135478 x 136255 with weight 9964494.
Total sieving time: 10.56 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 10.84 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)

26×10140+19

c117

name 名前Sinkiti Sibata
date 日付October 24, 2008 01:18:19 UTC 2008 年 10 月 24 日 (金) 10 時 18 分 19 秒 (日本時間)
composite number 合成数
956523387909801529433876566582169079255855390436023481092130570669948064133375135303153768545553242649095876996629159<117>
prime factors 素因数
16946406410302077950728265839823308474681<41>
56444025048774398773331902576688228725404795527707944697772162262625763068639<77>
factorization results 素因数分解の結果
Number: 28889_140
N=956523387909801529433876566582169079255855390436023481092130570669948064133375135303153768545553242649095876996629159
  ( 117 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=16946406410302077950728265839823308474681 (pp41)
 r2=56444025048774398773331902576688228725404795527707944697772162262625763068639 (pp77)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 7.86 hours.
Scaled time: 7.93 units (timescale=1.009).
Factorization parameters were as follows:
name: 28889_140
n: 956523387909801529433876566582169079255855390436023481092130570669948064133375135303153768545553242649095876996629159
m: 10000000000000000000000000000
c5: 26
c0: 1
skew: 0.52
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 1550001)
Primes: RFBsize:100021, AFBsize:100158, largePrimes:2845541 encountered
Relations: rels:2958063, finalFF:396703
Max relations in full relation-set: 28
Initial matrix: 200247 x 396703 with sparse part having weight 33108599.
Pruned matrix : 147491 x 148556 with weight 12955765.
Total sieving time: 7.67 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 7.86 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)

26×10141+19

c83

name 名前Serge Batalov
date 日付October 23, 2008 18:03:06 UTC 2008 年 10 月 24 日 (金) 3 時 3 分 6 秒 (日本時間)
composite number 合成数
17546157489686507164223646012583316051508274916630319119035081251725924541808444781<83>
prime factors 素因数
7537297685684934579476791673851030409<37>
2327910906718027614464758526910877086171667909<46>
factorization results 素因数分解の結果
Thu Oct 23 10:32:00 2008  Msieve v. 1.38
Thu Oct 23 10:32:00 2008  random seeds: f4ffedc8 bb9bb07a
Thu Oct 23 10:32:00 2008  factoring 17546157489686507164223646012583316051508274916630319119035081251725924541808444781 (83 digits)
Thu Oct 23 10:32:01 2008  searching for 15-digit factors
Thu Oct 23 10:32:01 2008  commencing quadratic sieve (83-digit input)
Thu Oct 23 10:32:01 2008  using multiplier of 69
Thu Oct 23 10:32:01 2008  using 64kb Opteron sieve core
Thu Oct 23 10:32:01 2008  sieve interval: 6 blocks of size 65536
Thu Oct 23 10:32:01 2008  processing polynomials in batches of 17
Thu Oct 23 10:32:01 2008  using a sieve bound of 1367749 (52320 primes)
Thu Oct 23 10:32:01 2008  using large prime bound of 124465159 (26 bits)
Thu Oct 23 10:32:01 2008  using trial factoring cutoff of 27 bits
Thu Oct 23 10:32:01 2008  polynomial 'A' values have 11 factors
Thu Oct 23 10:49:00 2008  52549 relations (27310 full + 25239 combined from 272691 partial), need 52416
Thu Oct 23 10:49:01 2008  begin with 300001 relations
Thu Oct 23 10:49:01 2008  reduce to 74599 relations in 2 passes
Thu Oct 23 10:49:01 2008  attempting to read 74599 relations
Thu Oct 23 10:49:01 2008  recovered 74599 relations
Thu Oct 23 10:49:01 2008  recovered 67221 polynomials
Thu Oct 23 10:49:01 2008  attempting to build 52549 cycles
Thu Oct 23 10:49:01 2008  found 52549 cycles in 1 passes
Thu Oct 23 10:49:01 2008  distribution of cycle lengths:
Thu Oct 23 10:49:01 2008     length 1 : 27310
Thu Oct 23 10:49:01 2008     length 2 : 25239
Thu Oct 23 10:49:01 2008  largest cycle: 2 relations
Thu Oct 23 10:49:01 2008  matrix is 52320 x 52549 (8.1 MB) with weight 1707055 (32.49/col)
Thu Oct 23 10:49:01 2008  sparse part has weight 1707055 (32.49/col)
Thu Oct 23 10:49:02 2008  filtering completed in 3 passes
Thu Oct 23 10:49:02 2008  matrix is 37474 x 37538 (6.3 MB) with weight 1347017 (35.88/col)
Thu Oct 23 10:49:02 2008  sparse part has weight 1347017 (35.88/col)
Thu Oct 23 10:49:02 2008  saving the first 48 matrix rows for later
Thu Oct 23 10:49:02 2008  matrix is 37426 x 37538 (4.0 MB) with weight 985377 (26.25/col)
Thu Oct 23 10:49:02 2008  sparse part has weight 680625 (18.13/col)
Thu Oct 23 10:49:02 2008  matrix includes 64 packed rows
Thu Oct 23 10:49:02 2008  using block size 15015 for processor cache size 1024 kB
Thu Oct 23 10:49:02 2008  commencing Lanczos iteration
Thu Oct 23 10:49:02 2008  memory use: 4.1 MB
Thu Oct 23 10:49:06 2008  lanczos halted after 593 iterations (dim = 37426)
Thu Oct 23 10:49:06 2008  recovered 19 nontrivial dependencies
Thu Oct 23 10:49:06 2008  prp37 factor: 7537297685684934579476791673851030409
Thu Oct 23 10:49:06 2008  prp46 factor: 2327910906718027614464758526910877086171667909
Thu Oct 23 10:49:06 2008  elapsed time 00:17:06

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)

26×10143+19

c108

name 名前Sinkiti Sibata
date 日付October 24, 2008 22:07:10 UTC 2008 年 10 月 25 日 (土) 7 時 7 分 10 秒 (日本時間)
composite number 合成数
653276411790784408103837393616365788765257143439082180152626896708423506902293078416685615987036100464553887<108>
prime factors 素因数
242354794037594091064567695394505940331886690503589<51>
2695537401622218909188582052352420335657517229979365604083<58>
factorization results 素因数分解の結果
Number: 28889_143
N=653276411790784408103837393616365788765257143439082180152626896708423506902293078416685615987036100464553887
  ( 108 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=242354794037594091064567695394505940331886690503589 (pp51)
 r2=2695537401622218909188582052352420335657517229979365604083 (pp58)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 17.79 hours.
Scaled time: 13.79 units (timescale=0.775).
Factorization parameters were as follows:
name: 28889_143
n: 653276411790784408103837393616365788765257143439082180152626896708423506902293078416685615987036100464553887
m: 20000000000000000000000000000
c5: 1625
c0: 2
skew: 0.26
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 2750001)
Primes: RFBsize:100021, AFBsize:99838, largePrimes:2898969 encountered
Relations: rels:2922932, finalFF:246910
Max relations in full relation-set: 28
Initial matrix: 199925 x 246910 with sparse part having weight 29217163.
Pruned matrix : 187821 x 188884 with weight 20844043.
Total sieving time: 17.28 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.34 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 17.79 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)

26×10144+19

c144

name 名前Sinkiti Sibata
date 日付October 24, 2008 05:10:12 UTC 2008 年 10 月 24 日 (金) 14 時 10 分 12 秒 (日本時間)
composite number 合成数
962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963<144>
prime factors 素因数
3868456166380275987258850199506057417163<40>
248926941794460034322836458820266164478157735098297360503167305646685102364493278068850644610523325296601<105>
factorization results 素因数分解の結果
Number: 28889_144
N=962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963
  ( 144 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=3868456166380275987258850199506057417163 (pp40)
 r2=248926941794460034322836458820266164478157735098297360503167305646685102364493278068850644610523325296601 (pp105)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 13.04 hours.
Scaled time: 13.00 units (timescale=0.997).
Factorization parameters were as follows:
name: 28889_144
n: 962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963
m: 100000000000000000000000000000
c5: 13
c0: 5
skew: 0.83
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [750000, 2450001)
Primes: RFBsize:114155, AFBsize:114927, largePrimes:2920308 encountered
Relations: rels:2974362, finalFF:340461
Max relations in full relation-set: 28
Initial matrix: 229147 x 340461 with sparse part having weight 34112156.
Pruned matrix : 196490 x 197699 with weight 18660001.
Total sieving time: 12.72 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.22 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 13.04 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)

26×10145+19

c81

name 名前Serge Batalov
date 日付October 23, 2008 17:43:17 UTC 2008 年 10 月 24 日 (金) 2 時 43 分 17 秒 (日本時間)
composite number 合成数
708431963955453258881716546076869813358455186906357975700925723287910831437409473<81>
prime factors 素因数
54896618346979991955469420943911<32>
12904837953364134191960473735409301929999830768343<50>
factorization results 素因数分解の結果
Thu Oct 23 10:29:56 2008  Msieve v. 1.38
Thu Oct 23 10:29:56 2008  random seeds: bf8006ca f25a0719
Thu Oct 23 10:29:56 2008  factoring 708431963955453258881716546076869813358455186906357975700925723287910831437409473 (81 digits)
Thu Oct 23 10:29:57 2008  searching for 15-digit factors
Thu Oct 23 10:29:57 2008  commencing quadratic sieve (81-digit input)
Thu Oct 23 10:29:57 2008  using multiplier of 29
Thu Oct 23 10:29:57 2008  using 64kb Opteron sieve core
Thu Oct 23 10:29:57 2008  sieve interval: 6 blocks of size 65536
Thu Oct 23 10:29:57 2008  processing polynomials in batches of 17
Thu Oct 23 10:29:57 2008  using a sieve bound of 1319687 (50882 primes)
Thu Oct 23 10:29:57 2008  using large prime bound of 126689952 (26 bits)
Thu Oct 23 10:29:57 2008  using trial factoring cutoff of 27 bits
Thu Oct 23 10:29:57 2008  polynomial 'A' values have 10 factors
Thu Oct 23 10:42:21 2008  51080 relations (26277 full + 24803 combined from 272800 partial), need 50978
Thu Oct 23 10:42:21 2008  begin with 299077 relations
Thu Oct 23 10:42:21 2008  reduce to 72762 relations in 2 passes
Thu Oct 23 10:42:21 2008  attempting to read 72762 relations
Thu Oct 23 10:42:22 2008  recovered 72762 relations
Thu Oct 23 10:42:22 2008  recovered 63176 polynomials
Thu Oct 23 10:42:22 2008  attempting to build 51080 cycles
Thu Oct 23 10:42:22 2008  found 51080 cycles in 1 passes
Thu Oct 23 10:42:22 2008  distribution of cycle lengths:
Thu Oct 23 10:42:22 2008     length 1 : 26277
Thu Oct 23 10:42:22 2008     length 2 : 24803
Thu Oct 23 10:42:22 2008  largest cycle: 2 relations
Thu Oct 23 10:42:22 2008  matrix is 50882 x 51080 (7.6 MB) with weight 1575931 (30.85/col)
Thu Oct 23 10:42:22 2008  sparse part has weight 1575931 (30.85/col)
Thu Oct 23 10:42:22 2008  filtering completed in 3 passes
Thu Oct 23 10:42:22 2008  matrix is 36078 x 36141 (5.9 MB) with weight 1255285 (34.73/col)
Thu Oct 23 10:42:22 2008  sparse part has weight 1255285 (34.73/col)
Thu Oct 23 10:42:22 2008  saving the first 48 matrix rows for later
Thu Oct 23 10:42:22 2008  matrix is 36030 x 36141 (4.6 MB) with weight 1016694 (28.13/col)
Thu Oct 23 10:42:22 2008  sparse part has weight 840697 (23.26/col)
Thu Oct 23 10:42:22 2008  matrix includes 64 packed rows
Thu Oct 23 10:42:22 2008  using block size 14456 for processor cache size 1024 kB
Thu Oct 23 10:42:22 2008  commencing Lanczos iteration
Thu Oct 23 10:42:22 2008  memory use: 4.3 MB
Thu Oct 23 10:42:27 2008  lanczos halted after 571 iterations (dim = 36030)
Thu Oct 23 10:42:27 2008  recovered 18 nontrivial dependencies
Thu Oct 23 10:42:27 2008  prp32 factor: 54896618346979991955469420943911
Thu Oct 23 10:42:27 2008  prp50 factor: 12904837953364134191960473735409301929999830768343
Thu Oct 23 10:42:27 2008  elapsed time 00:12:31

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)

26×10146+19

c123

name 名前Sinkiti Sibata
date 日付October 24, 2008 09:42:49 UTC 2008 年 10 月 24 日 (金) 18 時 42 分 49 秒 (日本時間)
composite number 合成数
607710404889057066896460732610797716908669403889768225367727440828283420463903579304033251169460502873600370283178007843447<123>
prime factors 素因数
1124073153303578585771807081716025889983932995108149151131<58>
540632434021785268234902288892949509330978466439075267476173783637<66>
factorization results 素因数分解の結果
Number: 28889_146
N=607710404889057066896460732610797716908669403889768225367727440828283420463903579304033251169460502873600370283178007843447
  ( 123 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=1124073153303578585771807081716025889983932995108149151131 (pp58)
 r2=540632434021785268234902288892949509330978466439075267476173783637 (pp66)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 15.54 hours.
Scaled time: 15.59 units (timescale=1.003).
Factorization parameters were as follows:
name: 28889_146
n: 607710404889057066896460732610797716908669403889768225367727440828283420463903579304033251169460502873600370283178007843447
m: 100000000000000000000000000000
c5: 260
c0: 1
skew: 0.33
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [750000, 2850001)
Primes: RFBsize:114155, AFBsize:114352, largePrimes:2879800 encountered
Relations: rels:2888648, finalFF:289991
Max relations in full relation-set: 28
Initial matrix: 228574 x 289991 with sparse part having weight 30172774.
Pruned matrix : 209836 x 211042 with weight 20187694.
Total sieving time: 15.18 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.27 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 15.54 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)

26×10149+19

c123

name 名前Sinkiti Sibata
date 日付October 24, 2008 20:12:50 UTC 2008 年 10 月 25 日 (土) 5 時 12 分 50 秒 (日本時間)
composite number 合成数
134656224548418501202256267790773535854432105692255442723175176680010180799465933023419580788851221043186204159831650450399<123>
prime factors 素因数
15750235873838074915509902031059707619<38>
8549473520716549201848743714153027681604986908351797552246043947706893694574847601621<85>
factorization results 素因数分解の結果
Number: 28889_149
N=134656224548418501202256267790773535854432105692255442723175176680010180799465933023419580788851221043186204159831650450399
  ( 123 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=15750235873838074915509902031059707619 (pp38)
 r2=8549473520716549201848743714153027681604986908351797552246043947706893694574847601621 (pp85)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 24.14 hours.
Scaled time: 24.36 units (timescale=1.009).
Factorization parameters were as follows:
name: 28889_149
n: 134656224548418501202256267790773535854432105692255442723175176680010180799465933023419580788851221043186204159831650450399
m: 1000000000000000000000000000000
c5: 13
c0: 5
skew: 0.83
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2100001)
Primes: RFBsize:176302, AFBsize:177028, largePrimes:5838819 encountered
Relations: rels:6030865, finalFF:724886
Max relations in full relation-set: 28
Initial matrix: 353395 x 724886 with sparse part having weight 65294965.
Pruned matrix : 231892 x 233722 with weight 29627846.
Total sieving time: 23.59 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.42 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 24.14 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)

26×10150+19

c149

name 名前Sinkiti Sibata
date 日付October 26, 2008 00:11:37 UTC 2008 年 10 月 26 日 (日) 9 時 11 分 37 秒 (日本時間)
composite number 合成数
13562858633281168492436098069900886802295252999478351591027647365675534689619196661450182576943140323422013562858633281168492436098069900886802295253<149>
prime factors 素因数
3017003463910021527742494989600535726691290449142078503<55>
4495473338205509039310196795964079881302715548106765302223250101153564129630339087731808697251<94>
factorization results 素因数分解の結果
Number: 28889_150
N=13562858633281168492436098069900886802295252999478351591027647365675534689619196661450182576943140323422013562858633281168492436098069900886802295253
  ( 149 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=3017003463910021527742494989600535726691290449142078503 (pp55)
 r2=4495473338205509039310196795964079881302715548106765302223250101153564129630339087731808697251 (pp94)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 21.15 hours.
Scaled time: 16.37 units (timescale=0.774).
Factorization parameters were as follows:
name: 28889_150
n: 13562858633281168492436098069900886802295252999478351591027647365675534689619196661450182576943140323422013562858633281168492436098069900886802295253
m: 1000000000000000000000000000000
c5: 26
c0: 1
skew: 0.52
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 1900001)
Primes: RFBsize:176302, AFBsize:176443, largePrimes:5632146 encountered
Relations: rels:5707812, finalFF:631681
Max relations in full relation-set: 28
Initial matrix: 352813 x 631681 with sparse part having weight 54511948.
Pruned matrix : 239959 x 241787 with weight 23574679.
Total sieving time: 20.32 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.62 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 21.15 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)

26×10151+19

c112

name 名前Serge Batalov
date 日付October 23, 2008 18:58:45 UTC 2008 年 10 月 24 日 (金) 3 時 58 分 45 秒 (日本時間)
composite number 合成数
1184256418922889255495715367728688244252863587772905569459723692387628924909225118675828123813287014980099631507<112>
prime factors 素因数
7947880915750697011047998057190331<34>
51027845668162402739414306998386845861<38>
2920028986625899746912414355924945584277<40>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=1288646471
Step 1 took 11085ms
Step 2 took 9828ms
********** Factor found in step 2: 7947880915750697011047998057190331
Found probable prime factor of 34 digits: 7947880915750697011047998057190331
#
Thu Oct 23 11:52:40 2008  Msieve v. 1.38
Thu Oct 23 11:52:40 2008  random seeds: 55b14030 4ff574bf
Thu Oct 23 11:52:40 2008  factoring 149002788476107069043684168199295287350958471236577922876144705896373784127497 (78 digits)
Thu Oct 23 11:52:41 2008  searching for 15-digit factors
Thu Oct 23 11:52:41 2008  commencing quadratic sieve (78-digit input)
Thu Oct 23 11:52:41 2008  using multiplier of 5
Thu Oct 23 11:52:41 2008  using 64kb Opteron sieve core
Thu Oct 23 11:52:41 2008  sieve interval: 6 blocks of size 65536
Thu Oct 23 11:52:41 2008  processing polynomials in batches of 17
Thu Oct 23 11:52:41 2008  using a sieve bound of 958687 (37824 primes)
Thu Oct 23 11:52:41 2008  using large prime bound of 95868700 (26 bits)
Thu Oct 23 11:52:41 2008  using trial factoring cutoff of 27 bits
Thu Oct 23 11:52:41 2008  polynomial 'A' values have 10 factors
Thu Oct 23 11:57:36 2008  38199 relations (20007 full + 18192 combined from 205677 partial), need 37920
Thu Oct 23 11:57:36 2008  begin with 225684 relations
Thu Oct 23 11:57:37 2008  reduce to 54082 relations in 2 passes
Thu Oct 23 11:57:37 2008  attempting to read 54082 relations
Thu Oct 23 11:57:37 2008  recovered 54082 relations
Thu Oct 23 11:57:37 2008  recovered 42175 polynomials
Thu Oct 23 11:57:37 2008  attempting to build 38199 cycles
Thu Oct 23 11:57:37 2008  found 38199 cycles in 1 passes
Thu Oct 23 11:57:37 2008  distribution of cycle lengths:
Thu Oct 23 11:57:37 2008     length 1 : 20007
Thu Oct 23 11:57:37 2008     length 2 : 18192
Thu Oct 23 11:57:37 2008  largest cycle: 2 relations
Thu Oct 23 11:57:37 2008  matrix is 37824 x 38199 (5.5 MB) with weight 1141071 (29.87/col)
Thu Oct 23 11:57:37 2008  sparse part has weight 1141071 (29.87/col)
Thu Oct 23 11:57:37 2008  filtering completed in 4 passes
Thu Oct 23 11:57:37 2008  matrix is 27598 x 27662 (4.3 MB) with weight 893917 (32.32/col)
Thu Oct 23 11:57:37 2008  sparse part has weight 893917 (32.32/col)
Thu Oct 23 11:57:37 2008  saving the first 48 matrix rows for later
Thu Oct 23 11:57:37 2008  matrix is 27550 x 27662 (2.8 MB) with weight 652298 (23.58/col)
Thu Oct 23 11:57:37 2008  sparse part has weight 456512 (16.50/col)
Thu Oct 23 11:57:37 2008  matrix includes 64 packed rows
Thu Oct 23 11:57:37 2008  commencing Lanczos iteration
Thu Oct 23 11:57:37 2008  memory use: 3.9 MB
Thu Oct 23 11:57:54 2008  lanczos halted after 437 iterations (dim = 27550)
Thu Oct 23 11:57:54 2008  recovered 18 nontrivial dependencies
Thu Oct 23 11:57:55 2008  prp38 factor: 51027845668162402739414306998386845861
Thu Oct 23 11:57:55 2008  prp40 factor: 2920028986625899746912414355924945584277
Thu Oct 23 11:57:55 2008  elapsed time 00:05:15
software ソフトウェア
GMP-ECM 6.2.1; Msieve-1.38

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)

26×10153+19

c134

name 名前Sinkiti Sibata
date 日付October 26, 2008 20:43:52 UTC 2008 年 10 月 27 日 (月) 5 時 43 分 52 秒 (日本時間)
composite number 合成数
97898354655912498577542654582672781408023360921519599642012823005388701296746551513056855209262153547431585837515028847674767970483787<134>
prime factors 素因数
1799406072605487269788642443251985797<37>
3155029794925095373974038518269034733<37>
17244187886143827169731047895923370766606567965331126953137387<62>
factorization results 素因数分解の結果
Number: 28889_153
N=97898354655912498577542654582672781408023360921519599642012823005388701296746551513056855209262153547431585837515028847674767970483787
  ( 134 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=1799406072605487269788642443251985797 (pp37)
 r2=3155029794925095373974038518269034733 (pp37)
 r3=17244187886143827169731047895923370766606567965331126953137387 (pp62)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 37.34 hours.
Scaled time: 29.20 units (timescale=0.782).
Factorization parameters were as follows:
name: 28889_153
n: 97898354655912498577542654582672781408023360921519599642012823005388701296746551513056855209262153547431585837515028847674767970483787
m: 2000000000000000000000000000000
c5: 1625
c0: 2
skew: 0.26
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 2800001)
Primes: RFBsize:216816, AFBsize:217126, largePrimes:5838600 encountered
Relations: rels:5918466, finalFF:645652
Max relations in full relation-set: 28
Initial matrix: 434008 x 645652 with sparse part having weight 54622944.
Pruned matrix : 325218 x 327452 with weight 33994766.
Total sieving time: 35.64 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.43 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,154,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 37.34 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)

26×10155+19

c142

name 名前Sinkiti Sibata
date 日付November 1, 2008 05:27:33 UTC 2008 年 11 月 1 日 (土) 14 時 27 分 33 秒 (日本時間)
composite number 合成数
9525082252482793999323102663610381687328364089726663768981685048839219164389556307565161122064185071206368574553912285043224680366061665707039<142>
prime factors 素因数
538963150673787390706865573661610521092599<42>
1528601204716243697472593549862635099435041001<46>
11561534087493686424248097003525027478147253178845840561<56>
factorization results 素因数分解の結果
Number: 28889_155
N=9525082252482793999323102663610381687328364089726663768981685048839219164389556307565161122064185071206368574553912285043224680366061665707039
  ( 142 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=538963150673787390706865573661610521092599 (pp42)
 r2=1528601204716243697472593549862635099435041001 (pp46)
 r3=11561534087493686424248097003525027478147253178845840561 (pp56)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 20.88 hours.
Scaled time: 20.63 units (timescale=0.988).
Factorization parameters were as follows:
name: 28889_155
n: 9525082252482793999323102663610381687328364089726663768981685048839219164389556307565161122064185071206368574553912285043224680366061665707039
m: 20000000000000000000000000000000
deg: 5
c5: 13
c0: 16
skew: 1.04
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1400000, 1900001)
Primes: RFBsize:203362, AFBsize:203722, largePrimes:9222201 encountered
Relations: rels:9617408, finalFF:720314
Max relations in full relation-set: 28
Initial matrix: 407152 x 720314 with sparse part having weight 80380800.
Pruned matrix : 302612 x 304711 with weight 34968755.
Total sieving time: 19.87 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.78 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,51,51,2.5,2.5,100000
total time: 20.88 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)
351e6904Jo Yeong UkOctober 24, 2008 13:02:38 UTC 2008 年 10 月 24 日 (金) 22 時 2 分 38 秒 (日本時間)

26×10156+19

c119

name 名前Sinkiti Sibata
date 日付October 29, 2008 03:57:00 UTC 2008 年 10 月 29 日 (水) 12 時 57 分 0 秒 (日本時間)
composite number 合成数
45756572991048541133395486566429369623153492393720523352242534418823215640644591834205930308998136427613459753843866549<119>
prime factors 素因数
4694190438486921544482209313363107731432206332676001<52>
9747489708959753624184848714122459667180630977918143237919612742549<67>
factorization results 素因数分解の結果
Number: 28889_156
N=45756572991048541133395486566429369623153492393720523352242534418823215640644591834205930308998136427613459753843866549
  ( 119 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=4694190438486921544482209313363107731432206332676001 (pp52)
 r2=9747489708959753624184848714122459667180630977918143237919612742549 (pp67)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 48.37 hours.
Scaled time: 22.88 units (timescale=0.473).
Factorization parameters were as follows:
name: 28889_156
n: 45756572991048541133395486566429369623153492393720523352242534418823215640644591834205930308998136427613459753843866549
m: 10000000000000000000000000000000
c5: 260
c0: 1
skew: 0.33
type: snfs
lss: 1
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved rational special-q in [1500000, 2700001)
Primes: RFBsize:216816, AFBsize:217216, largePrimes:5794216 encountered
Relations: rels:5821754, finalFF:597590
Max relations in full relation-set: 28
Initial matrix: 434099 x 597590 with sparse part having weight 50890701.
Pruned matrix : 346420 x 348654 with weight 28861073.
Total sieving time: 43.83 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 4.10 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 48.37 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4  2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)

26×10158+19

c123

name 名前Jo Yeong Uk
date 日付October 24, 2008 13:03:48 UTC 2008 年 10 月 24 日 (金) 22 時 3 分 48 秒 (日本時間)
composite number 合成数
113380135079105024067914279723335761157532854479549372542241163306012886790982389958922970574426694448602106850588458469699<123>
prime factors 素因数
417696229209318550390360676653337<33>
271441605526889400486767802727114167273548745703371791610999906296442521703183253981680827<90>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 113380135079105024067914279723335761157532854479549372542241163306012886790982389958922970574426694448602106850588458469699 (123 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1028318472
Step 1 took 3951ms
Step 2 took 2281ms
********** Factor found in step 2: 417696229209318550390360676653337
Found probable prime factor of 33 digits: 417696229209318550390360676653337
Probable prime cofactor 271441605526889400486767802727114167273548745703371791610999906296442521703183253981680827 has 90 digits
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)

26×10159+19

c132

name 名前Jo Yeong Uk
date 日付October 30, 2008 12:53:13 UTC 2008 年 10 月 30 日 (木) 21 時 53 分 13 秒 (日本時間)
composite number 合成数
368076928661310242796685223052351194474178929325136743683341593384751145819507087501554444508127876795316137199592189505603864088679<132>
prime factors 素因数
63372486529335247949657526960405508372415068972242089<53>
5808150331783600012048251978464509513167533255570748146548143492258533560391311<79>
factorization results 素因数分解の結果
Number: 28889_159
N=368076928661310242796685223052351194474178929325136743683341593384751145819507087501554444508127876795316137199592189505603864088679
  ( 132 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=63372486529335247949657526960405508372415068972242089 (pp53)
 r2=5808150331783600012048251978464509513167533255570748146548143492258533560391311 (pp79)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 24.36 hours.
Scaled time: 57.78 units (timescale=2.372).
Factorization parameters were as follows:
n: 368076928661310242796685223052351194474178929325136743683341593384751145819507087501554444508127876795316137199592189505603864088679
m: 100000000000000000000000000000000
deg: 5
c5: 13
c0: 5
skew: 0.83
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [1500000, 3100001)
Primes: RFBsize:216816, AFBsize:217321, largePrimes:9125240 encountered
Relations: rels:9381690, finalFF:582288
Max relations in full relation-set: 28
Initial matrix: 434202 x 582288 with sparse part having weight 65760285.
Pruned matrix : 383610 x 385845 with weight 43352181.
Total sieving time: 23.04 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.15 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,51,51,2.5,2.5,100000
total time: 24.36 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)
351e6904Jo Yeong UkOctober 24, 2008 15:22:22 UTC 2008 年 10 月 25 日 (土) 0 時 22 分 22 秒 (日本時間)

26×10161+19

c125

name 名前Jo Yeong Uk
date 日付October 25, 2008 04:21:07 UTC 2008 年 10 月 25 日 (土) 13 時 21 分 7 秒 (日本時間)
composite number 合成数
79068510368626578914580689981349106518885530717911113165602486185883192699712154881358461884808530837102009408078304160123183<125>
prime factors 素因数
10361570462978943081240648695403377<35>
7630938828349621287861991098515099831174529504441192479176022590263801165241085184406853279<91>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 79068510368626578914580689981349106518885530717911113165602486185883192699712154881358461884808530837102009408078304160123183 (125 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4091174184
Step 1 took 3914ms
Step 2 took 2300ms
********** Factor found in step 2: 10361570462978943081240648695403377
Found probable prime factor of 35 digits: 10361570462978943081240648695403377
Probable prime cofactor 7630938828349621287861991098515099831174529504441192479176022590263801165241085184406853279 has 91 digits
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)

26×10163+19

c109

name 名前Sinkiti Sibata
date 日付October 26, 2008 20:33:10 UTC 2008 年 10 月 27 日 (月) 5 時 33 分 10 秒 (日本時間)
composite number 合成数
5222906270307272385287641264035510040058867306663010966297297185700537761242664898692400059453720580222748327<109>
prime factors 素因数
28009093238970577101538416824495651053679<41>
186471808485408531378078405605085883074515478870902537239877522909513<69>
factorization results 素因数分解の結果
Number: 28889_163
N=5222906270307272385287641264035510040058867306663010966297297185700537761242664898692400059453720580222748327
  ( 109 digits)
Divisors found:
 r1=28009093238970577101538416824495651053679 (pp41)
 r2=186471808485408531378078405605085883074515478870902537239877522909513 (pp69)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 28.21 hours.
Scaled time: 13.34 units (timescale=0.473).
Factorization parameters were as follows:
name: 28889_163
n: 5222906270307272385287641264035510040058867306663010966297297185700537761242664898692400059453720580222748327
skew: 14112.08
# norm 1.79e+15
c5: 223200
c4: -6134129468
c3: -76619933374282
c2: 612536663203801749
c1: 11856328080881592151098
c0: 35073061741902416693402160
# alpha -6.38
Y1: 311615672159
Y0: -471894792419104682383
# Murphy_E 1.14e-09
# M 2569326901361743041309263714221806126383752657397438348950049127272982709113883339738467089251094412998729618
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 3000001)
Primes: RFBsize:230209, AFBsize:230072, largePrimes:7400735 encountered
Relations: rels:7297161, finalFF:627508
Max relations in full relation-set: 28
Initial matrix: 460365 x 627508 with sparse part having weight 50506885.
Pruned matrix : 330047 x 332412 with weight 27258385.
Polynomial selection time: 1.35 hours.
Total sieving time: 22.24 hours.
Total relation processing time: 0.62 hours.
Matrix solve time: 3.71 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 28.21 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)

26×10164+19

c150

name 名前Serge Batalov
date 日付November 4, 2008 17:19:37 UTC 2008 年 11 月 5 日 (水) 2 時 19 分 37 秒 (日本時間)
composite number 合成数
541046537172295678230112063092771000976403890919093220360728609248413825135794521816996517561591797000086121973304077595149385152379890268904717900297<150>
prime factors 素因数
4990807523509232364418465886288926752428403251<46>
108408616165558846036225029730435357616003437405601641863437365460786398813070202087637446096562159822547<105>
factorization results 素因数分解の結果
SNFS difficulty: 166 digits.
Divisors found:
 r1=4990807523509232364418465886288926752428403251
 r2=108408616165558846036225029730435357616003437405601641863437365460786398813070202087637446096562159822547
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.467).
Factorization parameters were as follows:
n: 541046537172295678230112063092771000976403890919093220360728609248413825135794521816996517561591797000086121973304077595149385152379890268904717900297
m: 1000000000000000000000000000000000
deg: 5
c5: 13
c0: 5
skew: 0.83
type: snfs
lss: 1
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [2500000, 4200001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 822500 x 822748
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,54,54,2.5,2.5,100000
total time: 22.00 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)
351e6904Jo Yeong UkOctober 25, 2008 06:53:47 UTC 2008 年 10 月 25 日 (土) 15 時 53 分 47 秒 (日本時間)

26×10165+19

c130

name 名前Jo Yeong Uk
date 日付November 3, 2008 12:26:49 UTC 2008 年 11 月 3 日 (月) 21 時 26 分 49 秒 (日本時間)
composite number 合成数
1756543151766545803755642925450589171778542028876884396660299422169027097780703495647142664349931068706672888482955013259885865989<130>
prime factors 素因数
1461695095426919438797142366846476947894188853677<49>
1201716525739254573467518321801984231101319213539948807673545053111692159046723257<82>
factorization results 素因数分解の結果
Number: 28889_165
N=1756543151766545803755642925450589171778542028876884396660299422169027097780703495647142664349931068706672888482955013259885865989
  ( 130 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=1461695095426919438797142366846476947894188853677 (pp49)
 r2=1201716525739254573467518321801984231101319213539948807673545053111692159046723257 (pp82)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 31.99 hours.
Scaled time: 75.89 units (timescale=2.372).
Factorization parameters were as follows:
n: 1756543151766545803755642925450589171778542028876884396660299422169027097780703495647142664349931068706672888482955013259885865989
m: 1000000000000000000000000000000000
deg: 5
c5: 26
c0: 1
skew: 0.52
type: snfs
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.6
alambda: 2.6
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [2000000, 3900001)
Primes: RFBsize:283146, AFBsize:283472, largePrimes:9788810 encountered
Relations: rels:9959778, finalFF:681236
Max relations in full relation-set: 28
Initial matrix: 566686 x 681236 with sparse part having weight 69626447.
Pruned matrix : 514482 x 517379 with weight 50794316.
Total sieving time: 29.63 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 2.17 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,52,52,2.6,2.6,100000
total time: 31.99 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)
351e6904Jo Yeong UkOctober 25, 2008 08:48:03 UTC 2008 年 10 月 25 日 (土) 17 時 48 分 3 秒 (日本時間)

26×10166+19

c163

name 名前Markus Tervooren
date 日付October 28, 2008 15:40:23 UTC 2008 年 10 月 29 日 (水) 0 時 40 分 23 秒 (日本時間)
composite number 合成数
2475695337123051580160158444501575875301130250140448100856019272336008988678454785233429504575275421106254939488292817626950800316127250740328124851220232144047381<163>
prime factors 素因数
6479340028054522941348709917163<31>
382090664543561576649417393525054205485383414004188396956282953099429824152707303462083388779904441883425715160662357958463678303487<132>
factorization results 素因数分解の結果
Number: 28889_166
N=2475695337123051580160158444501575875301130250140448100856019272336008988678454785233429504575275421106254939488292817626950800316127250740328124851220232144047381
  ( 163 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=6479340028054522941348709917163 (pp31)
 r2=382090664543561576649417393525054205485383414004188396956282953099429824152707303462083388779904441883425715160662357958463678303487 (pp132)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 78.56 hours.
Scaled time: 159.94 units (timescale=2.036).
Factorization parameters were as follows:
n: 2475695337123051580160158444501575875301130250140448100856019272336008988678454785233429504575275421106254939488292817626950800316127250740328124851220232144047381
m: 1000000000000000000000000000000000
c5: 260
c0: 1
skew: 0.33
type: snfs

Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2750000, 6150001)
Primes: RFBsize:380800, AFBsize:380647, largePrimes:5982858 encountered
Relations: rels:6228346, finalFF:897352
Max relations in full relation-set: 32
Initial matrix: 761514 x 897352 with sparse part having weight 55066587.
Pruned matrix : 649767 x 653638 with weight 38510994.
Total sieving time: 73.75 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 4.58 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,48,48,2.6,2.6,100000
total time: 78.56 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS
execution environment 実行環境
Core 2 Q6700, Linux 2.6.22

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)
351e65 / 825Markus TervoorenOctober 24, 2008 23:48:17 UTC 2008 年 10 月 25 日 (土) 8 時 48 分 17 秒 (日本時間)

26×10167+19

c155

name 名前Erik Branger
date 日付November 10, 2008 06:42:12 UTC 2008 年 11 月 10 日 (月) 15 時 42 分 12 秒 (日本時間)
composite number 合成数
17402694505373145372496501874332254808264964601515213995881884682345882922122957369781299658358690100048182317099152378155908918093570308072669512206881859<155>
prime factors 素因数
994429931053939659460376462395301<33>
8171083938783497384303320933326590394457<40>
2141719727669073859289699777557563993829652102083579639846097856848841724268160287<82>
factorization results 素因数分解の結果
Number: 28889_167
N=17402694505373145372496501874332254808264964601515213995881884682345882922122957369781299658358690100048182317099152378155908918093570308072669512206881859
  ( 155 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=994429931053939659460376462395301
 r2=8171083938783497384303320933326590394457
 r3=2141719727669073859289699777557563993829652102083579639846097856848841724268160287
Version: 
Total time: 72.08 hours.
Scaled time: 158.51 units (timescale=2.199).
Factorization parameters were as follows:
n: 17402694505373145372496501874332254808264964601515213995881884682345882922122957369781299658358690100048182317099152378155908918093570308072669512206881859
m: 5000000000000000000000000000000000
deg: 5
c5: 104
c0: 125
skew: 1.04
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.6
alambda: 2.6
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 5050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 947021 x 947269
Total sieving time: 72.08 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.6,2.6,100000
total time: 72.08 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS,Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)
351e6825Erik BrangerNovember 10, 2008 06:39:51 UTC 2008 年 11 月 10 日 (月) 15 時 39 分 51 秒 (日本時間)

26×10168+19

c122

name 名前Serge Batalov
date 日付October 23, 2008 18:54:35 UTC 2008 年 10 月 24 日 (金) 3 時 54 分 35 秒 (日本時間)
composite number 合成数
12092374334150570178174666312568260770723568107221418820924606955869011039325808390261068571327240683934337059782616469437<122>
prime factors 素因数
26698194639575122525661827534142287<35>
452928540577266887157236259134255076239219768187618558929062743927670190164498760454451<87>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=274814543
Step 1 took 13361ms
Step 2 took 10905ms
********** Factor found in step 2: 26698194639575122525661827534142287
Found probable prime factor of 35 digits: 26698194639575122525661827534142287
Probable prime cofactor 452928540577266887157236259134255076239219768187618558929062743927670190164498760454451 has 87 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)

26×10169+19

c117

name 名前Jo Yeong Uk
date 日付October 31, 2008 20:29:21 UTC 2008 年 11 月 1 日 (土) 5 時 29 分 21 秒 (日本時間)
composite number 合成数
733162911182476165696651536719886879504049082501597874078847443074443075794267486433599185290529361536401602468567859<117>
prime factors 素因数
237851355259520245767693083629268399033<39>
3082441596275624181609734228458130179747319199386915262705645132263828924699723<79>
factorization results 素因数分解の結果
Number: 28889_169
N=733162911182476165696651536719886879504049082501597874078847443074443075794267486433599185290529361536401602468567859
  ( 117 digits)
Divisors found:
 r1=237851355259520245767693083629268399033 (pp39)
 r2=3082441596275624181609734228458130179747319199386915262705645132263828924699723 (pp79)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 29.59 hours.
Scaled time: 70.74 units (timescale=2.391).
Factorization parameters were as follows:
name: 28889_169
n: 733162911182476165696651536719886879504049082501597874078847443074443075794267486433599185290529361536401602468567859
skew: 108187.70
# norm 1.20e+16
c5: 2280
c4: -2795606378
c3: 91661920058231
c2: 32492461028090342176
c1: 190596168568149965665252
c0: -22722389176983656882853269024
# alpha -6.02
Y1: 1799589968209
Y0: -50287140329669627061855
# Murphy_E 4.21e-10
# M 32639685845805564224093647946773830579766880893555582023928404958121945799986229313304601184884548131897019900486115
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 70000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 3500001)
Primes: RFBsize:250150, AFBsize:250319, largePrimes:7797872 encountered
Relations: rels:7841679, finalFF:647316
Max relations in full relation-set: 28
Initial matrix: 500549 x 647316 with sparse part having weight 63689992.
Pruned matrix : 398906 x 401472 with weight 42503958.
Polynomial selection time: 1.72 hours.
Total sieving time: 26.52 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 1.06 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.4,2.4,70000
total time: 29.59 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)
351e6904Jo Yeong UkOctober 26, 2008 08:43:23 UTC 2008 年 10 月 26 日 (日) 17 時 43 分 23 秒 (日本時間)

26×10173+19

c153

name 名前Serge Batalov
date 日付November 11, 2008 02:46:42 UTC 2008 年 11 月 11 日 (火) 11 時 46 分 42 秒 (日本時間)
composite number 合成数
629994439797802797254822468877071649993884129025520355098893294382483245470915881057162961924351559281286541351626397093317899983749900638132444377331431<153>
prime factors 素因数
73305096001558563409944288559304387<35>
8594142483414908579347938546811251556448886758055864089876219871162756829401458004039178884223538718178148112968531213<118>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=512132224
Step 1 took 14765ms
Step 2 took 11009ms
********** Factor found in step 2: 73305096001558563409944288559304387
Found probable prime factor of 35 digits: 73305096001558563409944288559304387
Probable prime cofactor 8594142483414908579347938546811251556448886758055864089876219871162756829401458004039178884223538718178148112968531213 has 118 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)

26×10174+19

c140

name 名前Wataru Sakai
date 日付April 30, 2010 11:55:27 UTC 2010 年 4 月 30 日 (金) 20 時 55 分 27 秒 (日本時間)
composite number 合成数
18202303528750714751999375978758795050474178749315650727955579893653378072126003937587614459898874063536769137305657279010835728694069820801<140>
prime factors 素因数
3175275385344722097446150161592978284466047<43>
composite cofactor 合成数の残り
5732511772919686860484308090275303538857754447984020037740221788066259352116231034631459494998783<97>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3833894689
Step 1 took 42496ms
Step 2 took 14791ms
********** Factor found in step 2: 3175275385344722097446150161592978284466047
Found probable prime factor of 43 digits: 3175275385344722097446150161592978284466047
Composite cofactor 5732511772919686860484308090275303538857754447984020037740221788066259352116231034631459494998783 has 97 digits
software ソフトウェア
GMP-ECM 6.2.1

c97

name 名前Sinkiti Sibata
date 日付May 1, 2010 07:34:43 UTC 2010 年 5 月 1 日 (土) 16 時 34 分 43 秒 (日本時間)
composite number 合成数
5732511772919686860484308090275303538857754447984020037740221788066259352116231034631459494998783<97>
prime factors 素因数
6798825822382332539138989568911778049390000203<46>
843162028662030721627798804446681868703053274408861<51>
factorization results 素因数分解の結果
Number: 28889_174
N = 5732511772919686860484308090275303538857754447984020037740221788066259352116231034631459494998783 (97 digits)
Divisors found:
r1=6798825822382332539138989568911778049390000203 (pp46)
r2=843162028662030721627798804446681868703053274408861 (pp51)
Version: Msieve v. 1.44
Total time: 1.28 hours.
Factorization parameters were as follows:
n: 5732511772919686860484308090275303538857754447984020037740221788066259352116231034631459494998783
Y0: -269913307289985074195626
Y1: 10083676913717
c0: 5225464243880909883954171625
c1: -2618420911286001184031
c2: -7554399862995413
c3: 1598747139
c4: 1080
skew: 1944857.62
type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Sieved algebraic special-q in [0, 0)
Total raw relations: 2178135
Relations: 191938 relations
Pruned matrix : 119497 x 119725
Polynomial selection time: 0.27 hours.
Total sieving time: 0.97 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
time per square root: 0.00 hours.
Prototype def-par.txt line would be: gnfs,96,4,60,2000,0.0001,0.3,220,15,10000,600,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 1.28 hours.
Intel64 Family 6 Model 30 Stepping 5, GenuineIntel
Windows-post2008Server-6.1.7600
processors: 8, speed: 2.79GHz
execution environment 実行環境
Core i7 860 2.80GHz,Window 7 64bit,(factmsieve.py)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)

26×10175+19

c135

name 名前Warut Roonguthai
date 日付October 8, 2011 12:25:45 UTC 2011 年 10 月 8 日 (土) 21 時 25 分 45 秒 (日本時間)
composite number 合成数
289702304531732264824626160196576487064447871737954430731494358959613368306656478872301871250854823259989291596894135042351511390403283<135>
prime factors 素因数
99709170220611576912129631471426794339011551392116167<53>
2905473026109346601310451361654546227361935358658751563844306434736778139700083349<82>
factorization results 素因数分解の結果
N = 289702304531732264824626160196576487064447871737954430731494358959613368306656478872301871250854823259989291596894135042351511390403283 (135 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=99709170220611576912129631471426794339011551392116167 (pp53)
r2=2905473026109346601310451361654546227361935358658751563844306434736778139700083349 (pp82)
Version: Msieve v. 1.47
Total time: 28.59 hours.
Factorization parameters were as follows:
name: (26*10^175+1)/9
n: 289702304531732264824626160196576487064447871737954430731494358959613368306656478872301871250854823259989291596894135042351511390403283
Y0: 100000000000000000000000000000000000
Y1: -1
c0: 1
c1: 0
c2: 0
c3: 0
c4: 0
c5: 26
skew: 0.52
type: snfs
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19736211
Relations: 2186720 relations
Pruned matrix : 1232532 x 1232757
Polynomial selection time: 0.00 hours.
Total sieving time: 25.18 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 3.20 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 28.59 hours.
Intel64 Family 6 Model 37 Stepping 5, GenuineIntel
Windows-7-6.1.7600
processors: 4, speed: 2.53GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)
351e60--
403e62800Wataru SakaiSeptember 2, 2010 08:39:07 UTC 2010 年 9 月 2 日 (木) 17 時 39 分 7 秒 (日本時間)
4511e64000Wataru SakaiSeptember 3, 2011 07:36:13 UTC 2011 年 9 月 3 日 (土) 16 時 36 分 13 秒 (日本時間)

26×10176+19

c164

name 名前Dmitry Domanov
date 日付May 2, 2011 06:41:40 UTC 2011 年 5 月 2 日 (月) 15 時 41 分 40 秒 (日本時間)
composite number 合成数
57673001915950221383994540825139223791186640474150462442656036365732382307258229426769071559903097516360411370702756140420210771213560794680364206129044073889311493<164>
prime factors 素因数
263244752614807717485533561514637801<36>
composite cofactor 合成数の残り
219085096067765155430232475648248658566538565289865264742877630155607796799042484004008719949002799282986993684221652625819196093<129>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1919362627
Step 1 took 60317ms
Step 2 took 22953ms
********** Factor found in step 2: 263244752614807717485533561514637801
Found probable prime factor of 36 digits: 263244752614807717485533561514637801
Composite cofactor 219085096067765155430232475648248658566538565289865264742877630155607796799042484004008719949002799282986993684221652625819196093 has 129 digits

c129

name 名前Warut Roonguthai
date 日付November 8, 2011 03:19:53 UTC 2011 年 11 月 8 日 (火) 12 時 19 分 53 秒 (日本時間)
composite number 合成数
219085096067765155430232475648248658566538565289865264742877630155607796799042484004008719949002799282986993684221652625819196093<129>
prime factors 素因数
13846160635245628435450588498766339281487419<44>
15822804735493278831125816906565287313811130352493512461394438924942071620863021644647<86>
factorization results 素因数分解の結果
N = 219085096067765155430232475648248658566538565289865264742877630155607796799042484004008719949002799282986993684221652625819196093 (129 digits)
SNFS difficulty: 178 digits.
Divisors found:
r1=13846160635245628435450588498766339281487419 (pp44)
r2=15822804735493278831125816906565287313811130352493512461394438924942071620863021644647 (pp86)
Version: Msieve v. 1.48
Total time: 33.08 hours.
Factorization parameters were as follows:
name: (26*10^176+1)/9
n: 219085096067765155430232475648248658566538565289865264742877630155607796799042484004008719949002799282986993684221652625819196093
Y0: 100000000000000000000000000000000000
Y1: -1
c0: 1
c1: 0
c2: 0
c3: 0
c4: 0
c5: 260
skew: 0.33
type: snfs
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20467391
Relations: 2434222 relations
Pruned matrix : 1387106 x 1387331
Polynomial selection time: 0.00 hours.
Total sieving time: 30.50 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.40 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,55,55,2.5,2.5,100000
total time: 33.08 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)
351e60--
403e61070300Dmitry DomanovMay 2, 2011 06:38:55 UTC 2011 年 5 月 2 日 (月) 15 時 38 分 55 秒 (日本時間)
770Ignacio SantosJune 26, 2011 12:34:11 UTC 2011 年 6 月 26 日 (日) 21 時 34 分 11 秒 (日本時間)
4511e6220 / 4028Ignacio SantosJune 26, 2011 12:34:11 UTC 2011 年 6 月 26 日 (日) 21 時 34 分 11 秒 (日本時間)
5043e661 / 7464Ignacio SantosJune 26, 2011 12:34:11 UTC 2011 年 6 月 26 日 (日) 21 時 34 分 11 秒 (日本時間)

26×10177+19

c141

name 名前Dmitry Domanov
date 日付May 2, 2011 04:46:53 UTC 2011 年 5 月 2 日 (月) 13 時 46 分 53 秒 (日本時間)
composite number 合成数
494723866921949265776147650483083272859020550471278322464267583255337774197441602650191914334454564364754320245469832535748349003659478881987<141>
prime factors 素因数
959723740658094715959169192533581<33>
515485702773915802716451315008777070532365283458751898964416511354537578121088900302789965490401804779221327<108>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3440889890
Step 1 took 48506ms
Step 2 took 19815ms
********** Factor found in step 2: 959723740658094715959169192533581
Found probable prime factor of 33 digits: 959723740658094715959169192533581
Probable prime cofactor 515485702773915802716451315008777070532365283458751898964416511354537578121088900302789965490401804779221327 has 108 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)

26×10180+19

c151

name 名前Dmitry Domanov
date 日付June 3, 2013 05:37:06 UTC 2013 年 6 月 3 日 (月) 14 時 37 分 6 秒 (日本時間)
composite number 合成数
8550323690759118672513771387757109109765129674668281399400469572236458345270049041012863304555962530531249575504295985587408486118357109892646622947889<151>
prime factors 素因数
453284248244311629354840487811415535169306954334562577<54>
18863050555753386904887398712213524671079562033877333877994811094634854416405887383193614921953057<98>
factorization results 素因数分解の結果
N=8550323690759118672513771387757109109765129674668281399400469572236458345270049041012863304555962530531249575504295985587408486118357109892646622947889
  ( 151 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=453284248244311629354840487811415535169306954334562577 (pp54)
 r2=18863050555753386904887398712213524671079562033877333877994811094634854416405887383193614921953057 (pp98)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 78.56 hours.
Scaled time: 151.15 units (timescale=1.924).
Factorization parameters were as follows:
n: 8550323690759118672513771387757109109765129674668281399400469572236458345270049041012863304555962530531249575504295985587408486118357109892646622947889
m: 1000000000000000000000000000000000000
deg: 5
c5: 26
c0: 1
skew: 0.52
# Murphy_E = 1.334e-10
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, 7700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1363778 x 1364006
Total sieving time: 76.35 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.88 hours.
Time per square root: 0.15 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: 78.56 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovMay 2, 2011 06:39:05 UTC 2011 年 5 月 2 日 (月) 15 時 39 分 5 秒 (日本時間)
1000Dmitry DomanovMay 26, 2013 14:06:14 UTC 2013 年 5 月 26 日 (日) 23 時 6 分 14 秒 (日本時間)
4511e61500 / 4192Dmitry DomanovMay 26, 2013 14:06:14 UTC 2013 年 5 月 26 日 (日) 23 時 6 分 14 秒 (日本時間)

26×10182+19

c171

name 名前Dmitry Domanov
date 日付May 1, 2011 22:11:01 UTC 2011 年 5 月 2 日 (月) 7 時 11 分 1 秒 (日本時間)
composite number 合成数
423441581472782218551274934429479760556485712944305551477735970030654048377532296038055474459458280245544108380722557461971676466296907814755171595193405883171050879449109<171>
prime factors 素因数
201516374371360394265277308214273<33>
2101276299723671206120498097057725729768387883150010467636633116614507024850753184367346723002313401091433304498164473161257641353986419733<139>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=415918334
Step 1 took 60009ms
Step 2 took 23744ms
********** Factor found in step 2: 201516374371360394265277308214273
Found probable prime factor of 33 digits: 201516374371360394265277308214273
Probable prime cofactor 2101276299723671206120498097057725729768387883150010467636633116614507024850753184367346723002313401091433304498164473161257641353986419733 has 139 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)

26×10183+19

c175

name 名前matsui
date 日付October 25, 2010 22:57:12 UTC 2010 年 10 月 26 日 (火) 7 時 57 分 12 秒 (日本時間)
composite number 合成数
1547585801883413266101310966581442134392224490655038638368470053812629098852401004280973332373894420498926111670804742354527977606505826144513509919091051802507816638181656567<175>
prime factors 素因数
526640720719667695487503531673622317<36>
383711407361697590374349024452742352084447763732961112432190845386243<69>
7658356687614362351996674241742735701672408278866275539133065715235857<70>
factorization results 素因数分解の結果
N=1547585801883413266101310966581442134392224490655038638368470053812629098852401004280973332373894420498926111670804742354527977606505826144513509919091051802507816638181656567
  ( 175 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=526640720719667695487503531673622317 (pp36)
 r2=383711407361697590374349024452742352084447763732961112432190845386243 (pp69)
 r3=7658356687614362351996674241742735701672408278866275539133065715235857 (pp70)
Version: Msieve v. 1.48
Total time:
Scaled time: 103.41 units (timescale=1.353).
Factorization parameters were as follows:
n: 1547585801883413266101310966581442134392224490655038638368470053812629098852401004280973332373894420498926111670804742354527977606505826144513509919091051802507816638181656567
m: 1000000000000000000000000000000000000
deg: 5
c5: 26000
c0: 1
skew: 0.13
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 500000
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4150000, 12150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1675915 x 1676150
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8300000,8300000,28,28,54,54,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)

26×10184+19

c169

name 名前Dmitry Domanov
date 日付June 11, 2013 08:11:18 UTC 2013 年 6 月 11 日 (火) 17 時 11 分 18 秒 (日本時間)
composite number 合成数
2239115122225703957188400770977879295898359478833213170351913825136253355133391141041654812398644565741158731199721520434478048146804262231639399203351434071477324313197<169>
prime factors 素因数
4463720283931621059099167171334352112869012632137697765379943<61>
501625321435576890506879564651135153581818476332606214142030719885314997570388167701029926429490579198643979<108>
factorization results 素因数分解の結果
N=2239115122225703957188400770977879295898359478833213170351913825136253355133391141041654812398644565741158731199721520434478048146804262231639399203351434071477324313197
  ( 169 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=4463720283931621059099167171334352112869012632137697765379943 (pp61)
 r2=501625321435576890506879564651135153581818476332606214142030719885314997570388167701029926429490579198643979 (pp108)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 146.49 hours.
Scaled time: 273.50 units (timescale=1.867).
Factorization parameters were as follows:
n: 2239115122225703957188400770977879295898359478833213170351913825136253355133391141041654812398644565741158731199721520434478048146804262231639399203351434071477324313197
m: 10000000000000000000000000000000000000
deg: 5
c5: 13
c0: 5
skew: 0.83
# Murphy_E = 6.957e-11
type: snfs
lss: 1
rlim: 8900000
alim: 8900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor 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, 11650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1600531 x 1600757
Total sieving time: 143.26 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 2.54 hours.
Time per square root: 0.45 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: 146.49 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovMay 2, 2011 06:39:15 UTC 2011 年 5 月 2 日 (月) 15 時 39 分 15 秒 (日本時間)
1000Dmitry DomanovMay 26, 2013 14:06:27 UTC 2013 年 5 月 26 日 (日) 23 時 6 分 27 秒 (日本時間)
4511e61500 / 4192Dmitry DomanovMay 26, 2013 14:06:27 UTC 2013 年 5 月 26 日 (日) 23 時 6 分 27 秒 (日本時間)

26×10185+19

c154

name 名前Dmitry Domanov
date 日付August 27, 2013 05:57:30 UTC 2013 年 8 月 27 日 (火) 14 時 57 分 30 秒 (日本時間)
composite number 合成数
6366726799616909203328651675391396047323472151698399405801674183954186377734041965556883970464107239844578251111610817931055522810778015846335610768935367<154>
prime factors 素因数
20449069590089789690641645260144214303477248394418395529<56>
311345549075856687071623258197503482698725652946691672903412059106018399512285948222253955777135823<99>
factorization results 素因数分解の結果
N=6366726799616909203328651675391396047323472151698399405801674183954186377734041965556883970464107239844578251111610817931055522810778015846335610768935367
  ( 154 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=20449069590089789690641645260144214303477248394418395529 (pp56)
 r2=311345549075856687071623258197503482698725652946691672903412059106018399512285948222253955777135823 (pp99)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 126.03 hours.
Scaled time: 216.27 units (timescale=1.716).
Factorization parameters were as follows:
n: 6366726799616909203328651675391396047323472151698399405801674183954186377734041965556883970464107239844578251111610817931055522810778015846335610768935367
m: 10000000000000000000000000000000000000
deg: 5
c5: 26
c0: 1
skew: 0.52
# Murphy_E = 8.354e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 10500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1470153 x 1470379
Total sieving time: 123.13 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.52 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 126.03 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovMay 2, 2011 06:39:24 UTC 2011 年 5 月 2 日 (月) 15 時 39 分 24 秒 (日本時間)
1000Dmitry DomanovMay 26, 2013 14:06:43 UTC 2013 年 5 月 26 日 (日) 23 時 6 分 43 秒 (日本時間)
4511e61500 / 4192Dmitry DomanovMay 26, 2013 14:06:43 UTC 2013 年 5 月 26 日 (日) 23 時 6 分 43 秒 (日本時間)

26×10186+19

c165

name 名前Jo Yeong Uk
date 日付October 30, 2016 07:24:14 UTC 2016 年 10 月 30 日 (日) 16 時 24 分 14 秒 (日本時間)
composite number 合成数
245238753200526392644680938586179276631389733296964845328715576338542936817338967233277216083947075733531992648047206944556693516131490611795387022380856056637211889<165>
prime factors 素因数
118184612071978216526814974278596227006137118819<48>
2075048087065413660877723940574899135608694636341619493439878838811386891425743399287696806779959449805311399765701531<118>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 245238753200526392644680938586179276631389733296964845328715576338542936817338967233277216083947075733531992648047206944556693516131490611795387022380856056637211889 (165 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=5478225160
Step 1 took 29743ms
Step 2 took 10089ms
********** Factor found in step 2: 118184612071978216526814974278596227006137118819
Found probable prime factor of 48 digits: 118184612071978216526814974278596227006137118819
Probable prime cofactor 2075048087065413660877723940574899135608694636341619493439878838811386891425743399287696806779959449805311399765701531 has 118 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovMay 2, 2011 06:39:33 UTC 2011 年 5 月 2 日 (月) 15 時 39 分 33 秒 (日本時間)
1000Dmitry DomanovMay 26, 2013 14:06:54 UTC 2013 年 5 月 26 日 (日) 23 時 6 分 54 秒 (日本時間)
4511e61500 / 4192Dmitry DomanovMay 26, 2013 14:06:54 UTC 2013 年 5 月 26 日 (日) 23 時 6 分 54 秒 (日本時間)

26×10187+19

c167

name 名前Jo Yeong Uk
date 日付November 21, 2016 00:37:19 UTC 2016 年 11 月 21 日 (月) 9 時 37 分 19 秒 (日本時間)
composite number 合成数
37543558913529886545611820414315614937390342314823240763383102937094296729110686844396051343637458969230409773500962702982372432655414917570324199668472238236304660679<167>
prime factors 素因数
1159371762200163185995707576333841182987594913747<49>
32382674943093936729794846859049790968316742990912284698384546621430031248875948314474501272628231891555526303638599357<119>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 37543558913529886545611820414315614937390342314823240763383102937094296729110686844396051343637458969230409773500962702982372432655414917570324199668472238236304660679 (167 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=5505482073
Step 1 took 29533ms
Step 2 took 10031ms
********** Factor found in step 2: 1159371762200163185995707576333841182987594913747
Found probable prime factor of 49 digits: 1159371762200163185995707576333841182987594913747
Probable prime cofactor 32382674943093936729794846859049790968316742990912284698384546621430031248875948314474501272628231891555526303638599357 has 119 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovMay 2, 2011 06:39:43 UTC 2011 年 5 月 2 日 (月) 15 時 39 分 43 秒 (日本時間)
1000Dmitry DomanovMay 26, 2013 14:07:06 UTC 2013 年 5 月 26 日 (日) 23 時 7 分 6 秒 (日本時間)
4511e61500 / 4192Dmitry DomanovMay 26, 2013 14:07:06 UTC 2013 年 5 月 26 日 (日) 23 時 7 分 6 秒 (日本時間)

26×10190+19

c169

name 名前Jo Yeong Uk
date 日付February 8, 2017 10:25:51 UTC 2017 年 2 月 8 日 (水) 19 時 25 分 51 秒 (日本時間)
composite number 合成数
8881195427811526052226924658109603036907334862996024917808425831111630044106728779829923816519611573852218422818528955232259848559775571073292437092132295560144550018121<169>
prime factors 素因数
482310411894178980501153905298998263625418633561756383263940347284400459<72>
18413857981900874403637464677299268351151075451655412355611441067574830456533195260011579653826619<98>
factorization results 素因数分解の結果
Number: 28889_190
N=8881195427811526052226924658109603036907334862996024917808425831111630044106728779829923816519611573852218422818528955232259848559775571073292437092132295560144550018121
  ( 169 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=482310411894178980501153905298998263625418633561756383263940347284400459
 r2=18413857981900874403637464677299268351151075451655412355611441067574830456533195260011579653826619
Version: 
Total time: 82.41 hours.
Scaled time: 429.26 units (timescale=5.209).
Factorization parameters were as follows:
n: 8881195427811526052226924658109603036907334862996024917808425831111630044106728779829923816519611573852218422818528955232259848559775571073292437092132295560144550018121
m: 100000000000000000000000000000000000000
deg: 5
c5: 26
c0: 1
skew: 0.52
# Murphy_E = 5.209e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 8100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20393194
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1772791 x 1773039
Total sieving time: 76.07 hours.
Total relation processing time: 1.93 hours.
Matrix solve time: 4.29 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 82.41 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovMay 2, 2011 06:39:51 UTC 2011 年 5 月 2 日 (月) 15 時 39 分 51 秒 (日本時間)
1000Dmitry DomanovMay 26, 2013 14:07:20 UTC 2013 年 5 月 26 日 (日) 23 時 7 分 20 秒 (日本時間)
4511e61500 / 4192Dmitry DomanovMay 26, 2013 14:07:20 UTC 2013 年 5 月 26 日 (日) 23 時 7 分 20 秒 (日本時間)

26×10191+19

c150

name 名前Dmitry Domanov
date 日付May 13, 2013 06:09:08 UTC 2013 年 5 月 13 日 (月) 15 時 9 分 8 秒 (日本時間)
composite number 合成数
911323899516326686399636842797269915989285661862284985185844909523504739246037165181304002231651589622047192324866562724454074947247293540738229505727<150>
prime factors 素因数
2153820384023866080156634678956728129<37>
423119730074125102627793750180947647139243985435705089248933851807413801041554209405456953889741819397195180158463<114>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4247144727
Step 1 took 16502ms
Step 2 took 7241ms
********** Factor found in step 2: 2153820384023866080156634678956728129
Found probable prime factor of 37 digits: 2153820384023866080156634678956728129

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 2, 2011 06:39:58 UTC 2011 年 5 月 2 日 (月) 15 時 39 分 58 秒 (日本時間)

26×10192+19

c172

name 名前Dmitry Domanov
date 日付May 1, 2011 20:45:29 UTC 2011 年 5 月 2 日 (月) 5 時 45 分 29 秒 (日本時間)
composite number 合成数
4905765956650633024931815551923855502845116326853898710076650574458659307025508650010421313998060346965162993026097734401333012068429191388198340553409743484495381608736739<172>
prime factors 素因数
488003202740138179993416261737107<33>
56651991641491329140629163659116551071<38>
177447126291793026849517859634685152825959661686933351176356176408622575620660816594287315968727157487<102>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3844117644
Step 1 took 60111ms
Step 2 took 23858ms
********** Factor found in step 2: 488003202740138179993416261737107
Found probable prime factor of 33 digits: 488003202740138179993416261737107
Composite cofactor 10052733115489314828049035689121826366010533486743333476457384729653821997761761742281805238927014709420793781463704538315060717644895518577 has 140 digits

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2561424890
Step 1 took 48538ms
Step 2 took 19899ms
********** Factor found in step 2: 56651991641491329140629163659116551071
Found probable prime factor of 38 digits: 56651991641491329140629163659116551071
Probable prime cofactor 177447126291793026849517859634685152825959661686933351176356176408622575620660816594287315968727157487 has 102 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)

26×10196+19

c181

name 名前Jo Yeong Uk
date 日付October 1, 2017 02:52:56 UTC 2017 年 10 月 1 日 (日) 11 時 52 分 56 秒 (日本時間)
composite number 合成数
2944251286037680478895135189173851632014769281431618661051643313217691312408850592529044275971070534892923634012246136679869577341783694754060716838421062144184960139162815632336237<181>
prime factors 素因数
2797517173290800762665848126822169038220133212410932095038589876611076220471741987<82>
1052451550306042309109100814495096397801222772071137355992882276424831487895975925540378932669992751<100>
factorization results 素因数分解の結果
Number: 28889_196
N=2944251286037680478895135189173851632014769281431618661051643313217691312408850592529044275971070534892923634012246136679869577341783694754060716838421062144184960139162815632336237
  ( 181 digits)
SNFS difficulty: 197 digits.
Divisors found:
 r1=2797517173290800762665848126822169038220133212410932095038589876611076220471741987
 r2=1052451550306042309109100814495096397801222772071137355992882276424831487895975925540378932669992751
Version: 
Total time: 156.93 hours.
Scaled time: 822.95 units (timescale=5.244).
Factorization parameters were as follows:
n: 2944251286037680478895135189173851632014769281431618661051643313217691312408850592529044275971070534892923634012246136679869577341783694754060716838421062144184960139162815632336237
m: 1000000000000000000000000000000000000000
deg: 5
c5: 260
c0: 1
skew: 0.33
# Murphy_E = 2.357e-11
type: snfs
lss: 1
rlim: 13000000
alim: 13000000
lpbr: 29
lpba: 29
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 55/55
Sieved rational special-q in [6500000, 12700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 33788294
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2633757 x 2634004
Total sieving time: 138.85 hours.
Total relation processing time: 5.39 hours.
Matrix solve time: 11.57 hours.
Time per square root: 1.12 hours.
Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13000000,13000000,29,29,55,55,2.5,2.5,100000
total time: 156.93 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovMay 2, 2011 06:40:10 UTC 2011 年 5 月 2 日 (月) 15 時 40 分 10 秒 (日本時間)
1000Dmitry DomanovMay 26, 2013 14:07:31 UTC 2013 年 5 月 26 日 (日) 23 時 7 分 31 秒 (日本時間)
4511e61500 / 4192Dmitry DomanovMay 26, 2013 14:07:31 UTC 2013 年 5 月 26 日 (日) 23 時 7 分 31 秒 (日本時間)

26×10198+19

c194

name 名前Robert Backstrom
date 日付April 8, 2010 21:32:07 UTC 2010 年 4 月 9 日 (金) 6 時 32 分 7 秒 (日本時間)
composite number 合成数
12460862109537687637818333091305050051928246521861863675292938093957775889477904255528189585307301633858654524035804849479974675694082001099431449203055978505971388902068646889361443121196741197<194>
prime factors 素因数
2055683347693761794908033459097817743577503253460088752305316991613051897545659925425514213803<94>
6061664177762265356194596385502868427508513607986290094790850525083670809352604890329689105705984999<100>
factorization results 素因数分解の結果
Number: n
N=12460862109537687637818333091305050051928246521861863675292938093957775889477904255528189585307301633858654524035804849479974675694082001099431449203055978505971388902068646889361443121196741197
  ( 194 digits)
SNFS difficulty: 199 digits.
Divisors found:

Fri Apr  9 07:27:32 2010  prp94 factor: 2055683347693761794908033459097817743577503253460088752305316991613051897545659925425514213803
Fri Apr  9 07:27:32 2010  prp100 factor: 6061664177762265356194596385502868427508513607986290094790850525083670809352604890329689105705984999
Fri Apr  9 07:27:32 2010  elapsed time 06:09:20 (Msieve 1.42 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.659).
Factorization parameters were as follows:
name: KA_2_8_197_9
n: 12460862109537687637818333091305050051928246521861863675292938093957775889477904255528189585307301633858654524035804849479974675694082001099431449203055978505971388902068646889361443121196741197
m: 1000000000000000000000000000000000000000
deg: 5
c5: 26000
c0: 1
skew: 0.13
type: snfs
lss: 1
rlim: 14700000
alim: 14700000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 14700000/14700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 19650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4696583 hash collisions in 31248687 relations
Msieve: matrix is 2047178 x 2047403 (580.0 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,199,5,0,0,0,0,0,0,0,0,14700000,14700000,28,28,56,56,2.5,2.5,100000
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
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)
351e61180Max DettweilerAugust 15, 2009 23:45:22 UTC 2009 年 8 月 16 日 (日) 8 時 45 分 22 秒 (日本時間)
403e60--
4511e61120 / 4424Dmitry DomanovApril 6, 2010 06:23:58 UTC 2010 年 4 月 6 日 (火) 15 時 23 分 58 秒 (日本時間)

26×10199+19

c161

name 名前Jo Yeong Uk
date 日付May 7, 2018 05:50:26 UTC 2018 年 5 月 7 日 (月) 14 時 50 分 26 秒 (日本時間)
composite number 合成数
14524101722795114506617668919734792005983161065923191563350679362939212861868401529661722077642042622619876330184250632207542566783964196035461922247663832194971<161>
prime factors 素因数
124358970664130895181666233769510155763108614307738432243928021<63>
116791749282179689217520434122561654057958777330121707833832577969716123527675872963226101350507951<99>
factorization results 素因数分解の結果
Number: 28889_199
N=14524101722795114506617668919734792005983161065923191563350679362939212861868401529661722077642042622619876330184250632207542566783964196035461922247663832194971
  ( 161 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=124358970664130895181666233769510155763108614307738432243928021
 r2=116791749282179689217520434122561654057958777330121707833832577969716123527675872963226101350507951
Version: 
Total time: 215.62 hours.
Scaled time: 1131.34 units (timescale=5.247).
Factorization parameters were as follows:
n: 14524101722795114506617668919734792005983161065923191563350679362939212861868401529661722077642042622619876330184250632207542566783964196035461922247663832194971
m: 10000000000000000000000000000000000000000
deg: 5
c5: 13
c0: 5
skew: 0.83
# Murphy_E = 1.668e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8000000, 16200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 38207985
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3113817 x 3114065
Total sieving time: 193.84 hours.
Total relation processing time: 3.18 hours.
Matrix solve time: 17.80 hours.
Time per square root: 0.80 hours.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000
total time: 215.62 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367612k/51380224k available (5516k kernel code, 1086464k absent, 926148k reserved, 6912k data, 1332k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.92 BogoMIPS (lpj=3399960)
Total of 12 processors activated (81599.04 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovMay 2, 2011 06:40:19 UTC 2011 年 5 月 2 日 (月) 15 時 40 分 19 秒 (日本時間)
1000Dmitry DomanovMay 26, 2013 14:07:44 UTC 2013 年 5 月 26 日 (日) 23 時 7 分 44 秒 (日本時間)
4511e61500 / 4192Dmitry DomanovMay 26, 2013 14:07:44 UTC 2013 年 5 月 26 日 (日) 23 時 7 分 44 秒 (日本時間)

26×10200+19

c159

name 名前Jo Yeong Uk
date 日付June 30, 2018 00:35:01 UTC 2018 年 6 月 30 日 (土) 9 時 35 分 1 秒 (日本時間)
composite number 合成数
365172300018773896154527858212131259225523111201578266707242638528957353492178094459662902017207636547874161814850444179085039657856458529685216769739946706343<159>
prime factors 素因数
4882888787321861689096755294688994300394827995428791033914537<61>
74786118612187656547791623939302068679178592785136737804694586734529645972723227999199712719436239<98>
factorization results 素因数分解の結果
Number: 28889_200
N=365172300018773896154527858212131259225523111201578266707242638528957353492178094459662902017207636547874161814850444179085039657856458529685216769739946706343
  ( 159 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=4882888787321861689096755294688994300394827995428791033914537
 r2=74786118612187656547791623939302068679178592785136737804694586734529645972723227999199712719436239
Version: 
Total time: 179.26 hours.
Scaled time: 938.63 units (timescale=5.236).
Factorization parameters were as follows:
n: 365172300018773896154527858212131259225523111201578266707242638528957353492178094459662902017207636547874161814850444179085039657856458529685216769739946706343
m: 10000000000000000000000000000000000000000
deg: 5
c5: 26
c0: 1
skew: 0.52
# Murphy_E = 2e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8000000, 14600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 37219893
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2975387 x 2975635
Total sieving time: 160.19 hours.
Total relation processing time: 2.71 hours.
Matrix solve time: 15.59 hours.
Time per square root: 0.77 hours.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000
total time: 179.26 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367612k/51380224k available (5516k kernel code, 1086464k absent, 926148k reserved, 6912k data, 1332k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.92 BogoMIPS (lpj=3399960)
Total of 12 processors activated (81599.04 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovMay 2, 2011 06:40:27 UTC 2011 年 5 月 2 日 (月) 15 時 40 分 27 秒 (日本時間)
1000Dmitry DomanovMay 26, 2013 14:07:54 UTC 2013 年 5 月 26 日 (日) 23 時 7 分 54 秒 (日本時間)
4511e61500 / 4192Dmitry DomanovMay 26, 2013 14:07:54 UTC 2013 年 5 月 26 日 (日) 23 時 7 分 54 秒 (日本時間)

26×10201+19

c178

name 名前Dmitry Domanov
date 日付May 27, 2013 05:32:34 UTC 2013 年 5 月 27 日 (月) 14 時 32 分 34 秒 (日本時間)
composite number 合成数
4094784895824382294562402214757152050168608529102818142318633701542932430920600826762025956510305949519309678567972202148569821916186596837303624846094684789137615127986268139557<178>
prime factors 素因数
700031869871361978338608957811387640889<39>
5849426393368120416659320050901710483805994655040473799474508316155810667588764432764129827952626486444380717024385321389186221815163272013<139>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2045695079
Step 1 took 84114ms
Step 2 took 29314ms
********** Factor found in step 2: 700031869871361978338608957811387640889
Found probable prime factor of 39 digits: 700031869871361978338608957811387640889

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovMay 2, 2011 06:40:36 UTC 2011 年 5 月 2 日 (月) 15 時 40 分 36 秒 (日本時間)
1000Dmitry DomanovMay 26, 2013 14:08:08 UTC 2013 年 5 月 26 日 (日) 23 時 8 分 8 秒 (日本時間)
4511e61500 / 4192Dmitry DomanovMay 26, 2013 14:08:08 UTC 2013 年 5 月 26 日 (日) 23 時 8 分 8 秒 (日本時間)

26×10202+19

c139

name 名前Erik Branger
date 日付November 4, 2012 22:32:54 UTC 2012 年 11 月 5 日 (月) 7 時 32 分 54 秒 (日本時間)
composite number 合成数
2152815273424542897125727861475328690897625509797906118796457455136664996946843316058630955180514572528820942826446265156479648694967920623<139>
prime factors 素因数
2140714341323083671077016450224488001869990932782924090051<58>
1005652754254909209043477473090214193391654058566257431342263039946461508200751973<82>
factorization results 素因数分解の結果
Number: 28889_202
N = 2152815273424542897125727861475328690897625509797906118796457455136664996946843316058630955180514572528820942826446265156479648694967920623 (139 digits)
Divisors found:
r1=2140714341323083671077016450224488001869990932782924090051 (pp58)
r2=1005652754254909209043477473090214193391654058566257431342263039946461508200751973 (pp82)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 333.03 hours.
Factorization parameters were as follows:
# Murphy_E = 2.809e-11, selected by Erik Branger
n: 2152815273424542897125727861475328690897625509797906118796457455136664996946843316058630955180514572528820942826446265156479648694967920623
Y0: -673458705208271546802585864
Y1: 129701092739101
c0: 1097327092959050904421182042424759315
c1: 925783059190650355801265364747
c2: -964021553254766861072135
c3: -344462385279600951
c4: 166528690684
c5: 15540
skew: 2666694.34
type: gnfs
# selected mechanically
rlim: 16400000
alim: 16400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16400000/16400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [8200000, 20700000)
Relations: 23212142
Relations in full relation-set: 4059722 relations
Pruned matrix : 2461701 x 2461928
Polynomial selection time: 0.00 hours.
Total sieving time: 326.15 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 6.48 hours.
time per square root: 0.25 hours.
Prototype def-par.txt line would be: gnfs,138,5,65,2000,1e-05,0.28,250,20,50000,3600,16400000,16400000,28,28,55,55,2.6,2.6,100000
total time: 333.03 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)
351e60--
403e62336500Erik BrangerMarch 25, 2009 17:40:22 UTC 2009 年 3 月 26 日 (木) 2 時 40 分 22 秒 (日本時間)
1836Wataru SakaiNovember 25, 2009 14:34:05 UTC 2009 年 11 月 25 日 (水) 23 時 34 分 5 秒 (日本時間)
4511e639623593Wataru SakaiJune 8, 2010 07:45:25 UTC 2010 年 6 月 8 日 (火) 16 時 45 分 25 秒 (日本時間)
369Wataru SakaiJuly 6, 2010 02:22:24 UTC 2010 年 7 月 6 日 (火) 11 時 22 分 24 秒 (日本時間)

26×10203+19

c140

name 名前Dmitry Domanov
date 日付June 11, 2009 04:45:50 UTC 2009 年 6 月 11 日 (木) 13 時 45 分 50 秒 (日本時間)
composite number 合成数
23798274221406481862937388696721507629375257074001696626340245646231006728544866514463627094525111474872935700567490601892062846556764218897<140>
prime factors 素因数
1591392095289804421962004160362504930638566818651<49>
14954375035445075432517592802281751545607225577975759746369031858970547474844079393319097347<92>
factorization results 素因数分解の結果
N=23798274221406481862937388696721507629375257074001696626340245646231006728544866514463627094525111474872935700567490601892062846556764218897
  ( 140 digits)
Divisors found:
r1=1591392095289804421962004160362504930638566818651 (pp49)
r2=14954375035445075432517592802281751545607225577975759746369031858970547474844079393319097347 (pp92)
Version: Msieve v. 1.41
Total time: 484.30 hours.
Scaled time: 959.88 units (timescale=1.982).
Factorization parameters were as follows:
n: 23798274221406481862937388696721507629375257074001696626340245646231006728544866514463627094525111474872935700567490601892062846556764218897

Y0: -734848807318907386147773470
Y1:  3828307784904209
c0: -575676726393303313640246491759215387
c1:  241313731949091829399125074778
c2:  679634942601726569804696
c3: -345838423607777188
c4: -106656386559
c5:  111060
skew: 1624324.30
type: gnfs
# size 1.397696e-013, alpha -7.351016, combined = 1.920798e-011

rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [6000000, 13400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2138724 x 2138969
Total sieving time: 470.62 hours.
Total relation processing time: 0.42 hours.
Matrix solve time: 10.64 hours.
Time per square root: 2.62 hours.
Prototype def-par.txt line would be:
gnfs,139,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,12000000,12000000,28,28,55,55,2.6,2.6,100000
total time: 484.30 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve 1.41

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)
351e60--
403e619421042Serge BatalovJanuary 9, 2009 18:37:49 UTC 2009 年 1 月 10 日 (土) 3 時 37 分 49 秒 (日本時間)
900Serge BatalovJanuary 9, 2009 18:44:36 UTC 2009 年 1 月 10 日 (土) 3 時 44 分 36 秒 (日本時間)
4511e61925285Serge BatalovJanuary 9, 2009 18:37:49 UTC 2009 年 1 月 10 日 (土) 3 時 37 分 49 秒 (日本時間)
600Serge BatalovJanuary 9, 2009 18:44:36 UTC 2009 年 1 月 10 日 (土) 3 時 44 分 36 秒 (日本時間)
1040Serge BatalovJanuary 9, 2009 18:45:35 UTC 2009 年 1 月 10 日 (土) 3 時 45 分 35 秒 (日本時間)
5043e63553 / 7048885Serge BatalovJanuary 9, 2009 18:45:35 UTC 2009 年 1 月 10 日 (土) 3 時 45 分 35 秒 (日本時間)
300Dmitry DomanovMay 28, 2009 10:47:16 UTC 2009 年 5 月 28 日 (木) 19 時 47 分 16 秒 (日本時間)
2368Wataru SakaiMay 30, 2009 06:30:53 UTC 2009 年 5 月 30 日 (土) 15 時 30 分 53 秒 (日本時間)

26×10204+19

c185

composite cofactor 合成数の残り
32933155746618384230635078922489482058585852552343935890675380185817087796146262477197096891629471197007754370544871623575359344682742318516185994210228852515022262611743399469933438033<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovMay 2, 2011 06:40:50 UTC 2011 年 5 月 2 日 (月) 15 時 40 分 50 秒 (日本時間)
1000Dmitry DomanovMay 26, 2013 14:08:19 UTC 2013 年 5 月 26 日 (日) 23 時 8 分 19 秒 (日本時間)
4511e61500 / 4192Dmitry DomanovMay 26, 2013 14:08:19 UTC 2013 年 5 月 26 日 (日) 23 時 8 分 19 秒 (日本時間)

26×10205+19

c170

composite cofactor 合成数の残り
10343950552472031681005712364399820062945125787745975468952602468643196203790173241528373209398493097306354784750104828984156442628967866140332592692513800677503846485567<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 13:00:00 UTC 2008 年 10 月 23 日 (木) 22 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovMay 2, 2011 06:40:59 UTC 2011 年 5 月 2 日 (月) 15 時 40 分 59 秒 (日本時間)
1000Dmitry DomanovMay 26, 2013 14:08:29 UTC 2013 年 5 月 26 日 (日) 23 時 8 分 29 秒 (日本時間)
4511e61500 / 4192Dmitry DomanovMay 26, 2013 14:08:29 UTC 2013 年 5 月 26 日 (日) 23 時 8 分 29 秒 (日本時間)

26×10206+19

c190

name 名前Serge Batalov
date 日付May 12, 2013 01:16:00 UTC 2013 年 5 月 12 日 (日) 10 時 16 分 0 秒 (日本時間)
composite number 合成数
5179176930850648495143123218829932385947333667995187693324269165662887324347659845895968194530254562338269139872511920632638190060970983338954077482393252108222863014871570560926075106508367<190>
prime factors 素因数
230301749304620235749074544303<30>
22488656497350997760942342151588712093800539428710557774710556998038844136819422872817212560411113455703175914134745512744169893357242823400497439467910633441889<161>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=743212274

Step 1 took 10453ms

Step 2 took 6664ms

********** Factor found in step 2: 230301749304620235749074544303

Found probable prime factor of 30 digits: 230301749304620235749074544303

Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 11, 2013 10:00:00 UTC 2013 年 5 月 11 日 (土) 19 時 0 分 0 秒 (日本時間)

26×10207+19

c168

composite cofactor 合成数の残り
140888170762849291424108374281873053149506859278011582938715842918874427542060771212446026784685322652018118459665396790999100344706403017629190183004809507900909513747<168>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 11, 2013 10:00:00 UTC 2013 年 5 月 11 日 (土) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 26, 2013 14:08:42 UTC 2013 年 5 月 26 日 (日) 23 時 8 分 42 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovMay 26, 2013 14:08:42 UTC 2013 年 5 月 26 日 (日) 23 時 8 分 42 秒 (日本時間)

26×10208+19

c173

composite cofactor 合成数の残り
28031528874537818099382137073144183866729001224917769785344801750020050716666157529201914775914443722234029142605938979084991898964631879653015674079957671932057393755308593<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 11, 2013 10:00:00 UTC 2013 年 5 月 11 日 (土) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 26, 2013 14:09:02 UTC 2013 年 5 月 26 日 (日) 23 時 9 分 2 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovMay 26, 2013 14:09:02 UTC 2013 年 5 月 26 日 (日) 23 時 9 分 2 秒 (日本時間)

26×10209+19

c184

name 名前Dmitry Domanov
date 日付May 13, 2013 05:33:53 UTC 2013 年 5 月 13 日 (月) 14 時 33 分 53 秒 (日本時間)
composite number 合成数
1421653782041970156554902942111258071749855338609687390682209181605037113201321773346588200337743108605920759525748096113700457477324122995509036693434742487743115967559114533916632887<184>
prime factors 素因数
1786441129587372820771281582174181661161<40>
composite cofactor 合成数の残り
795802200529462604672218906687706680249718761649564585274127628986576309156936490976752119778100139138566996656468097138155748698787037247579167<144>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1621079188
Step 1 took 19332ms
Step 2 took 7890ms
********** Factor found in step 2: 1786441129587372820771281582174181661161
Found probable prime factor of 40 digits: 1786441129587372820771281582174181661161

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 11, 2013 10:00:00 UTC 2013 年 5 月 11 日 (土) 19 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 19, 2013 10:05:29 UTC 2013 年 5 月 19 日 (日) 19 時 5 分 29 秒 (日本時間)
403e61110110Ignacio SantosMay 19, 2013 10:05:29 UTC 2013 年 5 月 19 日 (日) 19 時 5 分 29 秒 (日本時間)
1000Dmitry DomanovMay 26, 2013 14:09:13 UTC 2013 年 5 月 26 日 (日) 23 時 9 分 13 秒 (日本時間)
4511e6458232Ignacio SantosMay 19, 2013 10:05:29 UTC 2013 年 5 月 19 日 (日) 19 時 5 分 29 秒 (日本時間)
1500Dmitry DomanovMay 26, 2013 14:09:13 UTC 2013 年 5 月 26 日 (日) 23 時 9 分 13 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:10:00 UTC 2013 年 11 月 9 日 (土) 2 時 10 分 0 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:13 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 13 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:55 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 55 秒 (日本時間)

26×10211+19

c203

composite cofactor 合成数の残り
89224000783598119128001856872251876968499584230397871634762255602931887076247376384986458444231688441899019597104968201319377193784180747391918713410251772693782545374408325494807542184813302867221741461<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 11, 2013 10:00:00 UTC 2013 年 5 月 11 日 (土) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 26, 2013 14:09:25 UTC 2013 年 5 月 26 日 (日) 23 時 9 分 25 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovMay 26, 2013 14:09:25 UTC 2013 年 5 月 26 日 (日) 23 時 9 分 25 秒 (日本時間)

26×10212+19

c162

name 名前Dmitry Domanov
date 日付May 14, 2013 04:55:40 UTC 2013 年 5 月 14 日 (火) 13 時 55 分 40 秒 (日本時間)
composite number 合成数
197981921777744755059157168595740275737253890948269240181312256427640186007787815295182823668426235630724928423454182188868333404468753508401457754247423563832429<162>
prime factors 素因数
1076098416875069707174179408244153447<37>
13583411396425126809141840897860999899<38>
13544553371874862474434060424233441551308111787115717460348030875260758091647702366171793<89>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=589383313
Step 1 took 19497ms
Step 2 took 7921ms
********** Factor found in step 2: 1076098416875069707174179408244153447
Found probable prime factor of 37 digits: 1076098416875069707174179408244153447

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2425860895
Step 1 took 13584ms
Step 2 took 6138ms
********** Factor found in step 2: 13583411396425126809141840897860999899
Found probable prime factor of 38 digits: 13583411396425126809141840897860999899

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 11, 2013 10:00:00 UTC 2013 年 5 月 11 日 (土) 19 時 0 分 0 秒 (日本時間)

26×10213+19

c162

name 名前Dmitry Domanov
date 日付May 13, 2013 06:12:57 UTC 2013 年 5 月 13 日 (月) 15 時 12 分 57 秒 (日本時間)
composite number 合成数
127616103549423626984949580056283408684664013853771867290798797301178584303619734440211103071042706017092402986096016130875442281477439935028430841148398895048521<162>
prime factors 素因数
83724063746100478029795218445903245417<38>
1524246409448412128067534422322524409864129430856888387098550272973329961345598350667198474630543633867814506879723211449313<124>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3346762877
Step 1 took 19402ms
Step 2 took 7988ms
********** Factor found in step 2: 83724063746100478029795218445903245417
Found probable prime factor of 38 digits: 83724063746100478029795218445903245417

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 11, 2013 10:00:00 UTC 2013 年 5 月 11 日 (土) 19 時 0 分 0 秒 (日本時間)

26×10214+19

c205

name 名前Dmitry Domanov
date 日付May 27, 2013 05:33:24 UTC 2013 年 5 月 27 日 (月) 14 時 33 分 24 秒 (日本時間)
composite number 合成数
2018113220660594188777443657175473180837437364090378123771868491602497604096003836677393127593782292082635627805715558031592327058147652865725210470438327405000818672505087401637309781679944466262697262559<205>
prime factors 素因数
506581507300149745091961305964770553981253<42>
3983787784548679351504018251462109135286887309334046321615033119829675870785093745896893957880342499973006214558855674008476516235004452644636464642194289250939603<163>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3307321528
Step 1 took 91032ms
Step 2 took 30569ms
********** Factor found in step 2: 506581507300149745091961305964770553981253
Found probable prime factor of 42 digits: 506581507300149745091961305964770553981253

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 11, 2013 10:00:00 UTC 2013 年 5 月 11 日 (土) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 26, 2013 14:09:35 UTC 2013 年 5 月 26 日 (日) 23 時 9 分 35 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovMay 26, 2013 14:09:35 UTC 2013 年 5 月 26 日 (日) 23 時 9 分 35 秒 (日本時間)

26×10218+19

c203

composite cofactor 合成数の残り
13808676312963963988461086082026630183023837070985882456506096291315766831693894757464239413445590460212809753101299557988814533359641927134946428881117075359949585373566894727282092579397614981616765331<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 11, 2013 10:00:00 UTC 2013 年 5 月 11 日 (土) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 26, 2013 14:09:47 UTC 2013 年 5 月 26 日 (日) 23 時 9 分 47 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovMay 26, 2013 14:09:47 UTC 2013 年 5 月 26 日 (日) 23 時 9 分 47 秒 (日本時間)

26×10219+19

c171

composite cofactor 合成数の残り
190251986710107912036317250044700032241288937118284209723388779208014096836628722843036949549326580915771094376488002493456104883802975417545018159952876001169263693391117<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 11, 2013 10:00:00 UTC 2013 年 5 月 11 日 (土) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 26, 2013 14:09:56 UTC 2013 年 5 月 26 日 (日) 23 時 9 分 56 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovMay 26, 2013 14:09:56 UTC 2013 年 5 月 26 日 (日) 23 時 9 分 56 秒 (日本時間)

26×10220+19

c189

composite cofactor 合成数の残り
960817384928285356049802654904060763511772036692096013344818087650486896685735436725904118717848880941244900385897815643347335941298331484783942629833762906503238150060764306456889332560847<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 11, 2013 10:00:00 UTC 2013 年 5 月 11 日 (土) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 26, 2013 14:10:06 UTC 2013 年 5 月 26 日 (日) 23 時 10 分 6 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovMay 26, 2013 14:10:06 UTC 2013 年 5 月 26 日 (日) 23 時 10 分 6 秒 (日本時間)

26×10221+19

c158

composite cofactor 合成数の残り
58796956617703493102189978561156071683425469863286437787782278505976655387827737148637202540341338915476544716930734956492736230361801430845308656107633636631<158>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 11, 2013 10:00:00 UTC 2013 年 5 月 11 日 (土) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 26, 2013 14:10:16 UTC 2013 年 5 月 26 日 (日) 23 時 10 分 16 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovMay 26, 2013 14:10:16 UTC 2013 年 5 月 26 日 (日) 23 時 10 分 16 秒 (日本時間)

26×10223+19

c196

composite cofactor 合成数の残り
4641122190534407041425655482035362675310492496653665222151126805285010693122464067386372282929129294226247862440054623374717084859277346369872972724578750083306790862985575283085144323462569101499<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 11, 2013 10:00:00 UTC 2013 年 5 月 11 日 (土) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 27, 2013 18:19:41 UTC 2013 年 5 月 28 日 (火) 3 時 19 分 41 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovMay 27, 2013 18:19:41 UTC 2013 年 5 月 28 日 (火) 3 時 19 分 41 秒 (日本時間)

26×10224+19

c204

composite cofactor 合成数の残り
644101844202199072294401325777635492079722154208802351990524402321020935566935162270289664952913974099982072414108708516072182981883533244943389933829539856215031105176366880460912053267066835510923884923<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 11, 2013 10:00:00 UTC 2013 年 5 月 11 日 (土) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 26, 2013 14:10:26 UTC 2013 年 5 月 26 日 (日) 23 時 10 分 26 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovMay 26, 2013 14:10:26 UTC 2013 年 5 月 26 日 (日) 23 時 10 分 26 秒 (日本時間)

26×10225+19

c191

name 名前Dmitry Domanov
date 日付May 13, 2013 05:38:50 UTC 2013 年 5 月 13 日 (月) 14 時 38 分 50 秒 (日本時間)
composite number 合成数
58849750377997194318450258527480115115624247229335426007924336144631001126364822145408511471478638026301137168929427552960521793884038372405825424868393548317123006112280812478560842948841121<191>
prime factors 素因数
3089665549320597171693702881524529<34>
composite cofactor 合成数の残り
19047288270712011480057237331946881398377986341410208083555486373291293356591425319992302812660062160460212052862814412790831785314177467789028430377111604849<158>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3752943081
Step 1 took 31630ms
Step 2 took 11811ms
********** Factor found in step 2: 3089665549320597171693702881524529
Found probable prime factor of 34 digits: 3089665549320597171693702881524529

c158

name 名前Dmitry Domanov
date 日付May 27, 2013 05:31:32 UTC 2013 年 5 月 27 日 (月) 14 時 31 分 32 秒 (日本時間)
composite number 合成数
19047288270712011480057237331946881398377986341410208083555486373291293356591425319992302812660062160460212052862814412790831785314177467789028430377111604849<158>
prime factors 素因数
71283192991566983493976702096818571<35>
composite cofactor 合成数の残り
267205879413473566927024871870501950437123394756869170621749591840575534461397397154793046513165704167670012974489285212019<123>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1132989421
Step 1 took 71259ms
Step 2 took 25995ms
********** Factor found in step 2: 71283192991566983493976702096818571
Found probable prime factor of 35 digits: 71283192991566983493976702096818571

c123

name 名前Dmitry Domanov
date 日付June 3, 2013 05:12:02 UTC 2013 年 6 月 3 日 (月) 14 時 12 分 2 秒 (日本時間)
composite number 合成数
267205879413473566927024871870501950437123394756869170621749591840575534461397397154793046513165704167670012974489285212019<123>
prime factors 素因数
397835188855499827954241579596466852594730547<45>
671649685343764455219365583679042792801198241043062107365849411098475723491777<78>
factorization results 素因数分解の結果
N=267205879413473566927024871870501950437123394756869170621749591840575534461397397154793046513165704167670012974489285212019
  ( 123 digits)
Divisors found:
 r1=397835188855499827954241579596466852594730547 (pp45)
 r2=671649685343764455219365583679042792801198241043062107365849411098475723491777 (pp78)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 78.66 hours.
Scaled time: 151.42 units (timescale=1.925).
Factorization parameters were as follows:
n: 267205879413473566927024871870501950437123394756869170621749591840575534461397397154793046513165704167670012974489285212019
skew: 124069.83
c0: -21955151398255058986382883880
c1: 1255861352441059083150180
c2: -39193920882542622878
c3: -22032144393993
c4: 3705000930
c5: 5016
Y0: -556284507842487746058093
Y1: 6339199869319
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 400000
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2650000, 6650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 566946 x 567172
Total sieving time: 78.10 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.29 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
gnfs,122,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5300000,5300000,27,27,54,54,2.5,2.5,100000
total time: 78.66 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 11, 2013 10:00:00 UTC 2013 年 5 月 11 日 (土) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 26, 2013 14:10:38 UTC 2013 年 5 月 26 日 (日) 23 時 10 分 38 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovMay 26, 2013 14:10:38 UTC 2013 年 5 月 26 日 (日) 23 時 10 分 38 秒 (日本時間)

26×10226+19

c178

composite cofactor 合成数の残り
7063986624469107545707468739351203029111116003150282090959355841224972187078662918881271229217848280542587441278972400285960348673867191379751840602122876339311835398583293360213<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 11, 2013 10:00:00 UTC 2013 年 5 月 11 日 (土) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 26, 2013 14:10:47 UTC 2013 年 5 月 26 日 (日) 23 時 10 分 47 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovMay 26, 2013 14:10:47 UTC 2013 年 5 月 26 日 (日) 23 時 10 分 47 秒 (日本時間)

26×10227+19

c221

name 名前Dmitry Domanov
date 日付May 27, 2013 05:36:56 UTC 2013 年 5 月 27 日 (月) 14 時 36 分 56 秒 (日本時間)
composite number 合成数
22306487552778329219888337326666473286578420657612583480849996258086713021435273363731413451699106176469934685489121087413127705953890654232893234055393477474938897168456509199937586447827326234842752432159987207744153579<221>
prime factors 素因数
6623232351342447767258767964260156108939<40>
composite cofactor 合成数の残り
3367915599134473735247154248586149952035461054374370676746351460034195909473009991776623966859775330869454548766200727530180002535728347695082468856971716134486109478051670243209761<181>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2963317653
Step 1 took 104741ms
Step 2 took 30305ms
********** Factor found in step 2: 6623232351342447767258767964260156108939
Found probable prime factor of 40 digits: 6623232351342447767258767964260156108939

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 11, 2013 10:00:00 UTC 2013 年 5 月 11 日 (土) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 26, 2013 14:10:56 UTC 2013 年 5 月 26 日 (日) 23 時 10 分 56 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovMay 26, 2013 14:10:56 UTC 2013 年 5 月 26 日 (日) 23 時 10 分 56 秒 (日本時間)

26×10229+19

c226

composite cofactor 合成数の残り
4830110163666425161158483345408608742499396236229541696854855189581823923907187575470471307287893143101302272009511601553066191086589013357112337215998811049805866726114176373330360957848000148618774266659235727953333704880269<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 11, 2013 10:00:00 UTC 2013 年 5 月 11 日 (土) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 26, 2013 14:11:06 UTC 2013 年 5 月 26 日 (日) 23 時 11 分 6 秒 (日本時間)
4511e644501500Dmitry DomanovMay 26, 2013 14:11:06 UTC 2013 年 5 月 26 日 (日) 23 時 11 分 6 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:15:50 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 50 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:45 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 45 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:24:37 UTC 2014 年 2 月 24 日 (月) 4 時 24 分 37 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:56 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 56 秒 (日本時間)

26×10231+19

c204

name 名前Dmitry Domanov
date 日付May 13, 2013 05:42:34 UTC 2013 年 5 月 13 日 (月) 14 時 42 分 34 秒 (日本時間)
composite number 合成数
731504646367093779072183093422318551273081550151935221007048742493631470688989267931143126204599150701254704299905640404217334338465931604118781398041112941842538360645141784143948179517938333702160015079<204>
prime factors 素因数
56052582647473849800313259895629807<35>
composite cofactor 合成数の残り
13050329027079377052573996293292941358135087676293870777958801813370354244835221603073955136725988388995818588537996885706608543274683656192168386614013368481425932943497<170>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=489541762
Step 1 took 28128ms
Step 2 took 8897ms
********** Factor found in step 2: 56052582647473849800313259895629807
Found probable prime factor of 35 digits: 56052582647473849800313259895629807

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 11, 2013 10:00:00 UTC 2013 年 5 月 11 日 (土) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 26, 2013 14:11:17 UTC 2013 年 5 月 26 日 (日) 23 時 11 分 17 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovMay 26, 2013 14:11:17 UTC 2013 年 5 月 26 日 (日) 23 時 11 分 17 秒 (日本時間)

26×10232+19

c206

composite cofactor 合成数の残り
38016126228496945616617915026504826289813666967078762651211231639087872475146981869086503139948512252862145701460985092689497328012424987917775547057085367209919194811096393013061706200887720178626622300459<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 11, 2013 10:00:00 UTC 2013 年 5 月 11 日 (土) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 26, 2013 14:11:26 UTC 2013 年 5 月 26 日 (日) 23 時 11 分 26 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovMay 26, 2013 14:11:26 UTC 2013 年 5 月 26 日 (日) 23 時 11 分 26 秒 (日本時間)

26×10234+19

c234

name 名前matsui
date 日付January 13, 2014 15:00:43 UTC 2014 年 1 月 14 日 (火) 0 時 0 分 43 秒 (日本時間)
composite number 合成数
962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963<234>
prime factors 素因数
5905844683334039753852268959515378846784050400953884984294354392510460336973743305661075996601291<97>
163052537714103805428497064747025353760196432728372774638216779600489988184336426603539538892735805185160965738261390866850929953344491993<138>
factorization results 素因数分解の結果
N=962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963
  ( 234 digits)
SNFS difficulty: 235 digits.
Divisors found:
 r1=5905844683334039753852268959515378846784050400953884984294354392510460336973743305661075996601291 (pp97)
 r2=163052537714103805428497064747025353760196432728372774638216779600489988184336426603539538892735805185160965738261390866850929953344491993 (pp138)
Version: Msieve v. 1.52 (SVN Unversioned directory)
Total time:
Scaled time: 209.70 units (timescale=1.836).
Factorization parameters were as follows:
n: 962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963
m: 1000000000000000000000000000000000000000
deg: 6
c6: 26
c0: 1
skew: 0.58
# Murphy_E = 9.312e-13
type: snfs
lss: 1
rlim: 59000000
alim: 59000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
Factor base limits: 59000000/59000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved rational special-q in [29500000, 61300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 7762980 x 7763204
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,235.000,6,0,0,0,0,0,0,0,0,59000000,59000000,30,30,60,60,2.7,2.7,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 11, 2013 10:00:00 UTC 2013 年 5 月 11 日 (土) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 26, 2013 14:11:36 UTC 2013 年 5 月 26 日 (日) 23 時 11 分 36 秒 (日本時間)
4511e62750 / 42541500Dmitry DomanovMay 26, 2013 14:11:36 UTC 2013 年 5 月 26 日 (日) 23 時 11 分 36 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:16:32 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 32 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:14 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 14 秒 (日本時間)

26×10236+19

c214

name 名前Dmitry Domanov
date 日付May 13, 2013 05:43:53 UTC 2013 年 5 月 13 日 (月) 14 時 43 分 53 秒 (日本時間)
composite number 合成数
3692690517661060836979603393588167022075789403940615612348043112068184849451686572806487153893436446289095266536004221504598296916062799444045043235820217806397562462833497319254659780658136781978350173921707769171<214>
prime factors 素因数
2588163636265586704802960065635337<34>
composite cofactor 合成数の残り
1426760837652898747227997504953142789767010449643927680878497382444998693906605181941772362548401042672608361388790998895569667970463178967685450669674905381807359759187418067682683<181>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1581710937
Step 1 took 36942ms
Step 2 took 12103ms
********** Factor found in step 2: 2588163636265586704802960065635337
Found probable prime factor of 34 digits: 2588163636265586704802960065635337

c181

name 名前Dmitry Domanov
date 日付May 27, 2013 05:30:55 UTC 2013 年 5 月 27 日 (月) 14 時 30 分 55 秒 (日本時間)
composite number 合成数
1426760837652898747227997504953142789767010449643927680878497382444998693906605181941772362548401042672608361388790998895569667970463178967685450669674905381807359759187418067682683<181>
prime factors 素因数
867643999284640862552126168048707146725239143037<48>
composite cofactor 合成数の残り
1644408119953853333314661164340726931460428027456214751669793329535983638602136898565703000009090258511621857023900632509608908425559<133>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4060267211
Step 1 took 84409ms
********** Factor found in step 1: 867643999284640862552126168048707146725239143037
Found probable prime factor of 48 digits: 867643999284640862552126168048707146725239143037

c133

name 名前Erik Branger
date 日付June 25, 2013 21:56:18 UTC 2013 年 6 月 26 日 (水) 6 時 56 分 18 秒 (日本時間)
composite number 合成数
1644408119953853333314661164340726931460428027456214751669793329535983638602136898565703000009090258511621857023900632509608908425559<133>
prime factors 素因数
511594888605590262194975815317366244515081582506351053<54>
3214277852610829773937391126815230732847175490972640162325164831464406166010803<79>
factorization results 素因数分解の結果
Number: 2889_236
N = 1644408119953853333314661164340726931460428027456214751669793329535983638602136898565703000009090258511621857023900632509608908425559 (133 digits)
Divisors found:
r1=511594888605590262194975815317366244515081582506351053 (pp54)
r2=3214277852610829773937391126815230732847175490972640162325164831464406166010803 (pp79)
Version: Msieve v. 1.51 (SVN 845)
Total time: 141.90 hours.
Factorization parameters were as follows:
# Murphy_E = 5.874e-11, selected by Erik Branger
n: 1644408119953853333314661164340726931460428027456214751669793329535983638602136898565703000009090258511621857023900632509608908425559
Y0: -75734442150043741361862487
Y1: 59593650691483
c0: -862779445246184960831558768714160
c1: 4326578677624002037244911914
c2: 5764371838685853536934
c3: -9067828928601938
c4: -2852446205
c5: 660
skew: 1471659.22
type: gnfs
# selected mechanically
rlim: 11200000
alim: 11200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 11200000/11200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19969379
Relations: 2819548 relations
Pruned matrix : 1661220 x 1661448
Polynomial selection time: 0.00 hours.
Total sieving time: 137.05 hours.
Total relation processing time: 1.68 hours.
Matrix solve time: 2.76 hours.
time per square root: 0.41 hours.
Prototype def-par.txt line would be: gnfs,132,5,65,2000,1e-05,0.28,250,20,50000,3600,11200000,11200000,28,28,54,54,2.6,2.6,100000
total time: 141.90 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 11, 2013 10:00:00 UTC 2013 年 5 月 11 日 (土) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 26, 2013 14:11:45 UTC 2013 年 5 月 26 日 (日) 23 時 11 分 45 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovMay 26, 2013 14:11:45 UTC 2013 年 5 月 26 日 (日) 23 時 11 分 45 秒 (日本時間)

26×10237+19

c199

name 名前Serge Batalov
date 日付May 12, 2013 00:56:07 UTC 2013 年 5 月 12 日 (日) 9 時 56 分 7 秒 (日本時間)
composite number 合成数
1707901205402526620084713886532462949937675753109355972684525539490602519191635883414899412983342699675063093145793132695330954014910156721113873906678812732266001281269971504996199060409136967119549<199>
prime factors 素因数
29378536818842590731276213699055111<35>
58134318122580068598212960323733578317637078993897006150360251776393835216622555079902560483121308010634492880952223398195042849677519078737116202530560074742188059<164>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=1223045637
Step 1 took 12345ms
Step 2 took 7249ms
********** Factor found in step 2: 29378536818842590731276213699055111
Found probable prime factor of 35 digits: 29378536818842590731276213699055111
Probable prime cofactor has 164 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 11, 2013 10:00:00 UTC 2013 年 5 月 11 日 (土) 19 時 0 分 0 秒 (日本時間)

26×10240+19

c162

name 名前Dmitry Domanov
date 日付May 13, 2013 06:12:30 UTC 2013 年 5 月 13 日 (月) 15 時 12 分 30 秒 (日本時間)
composite number 合成数
958097302203938490496406870198158494921743630860187557690100323595362679176500017070115403476082843531045897991263307121187952516886205224015098549412823191364009<162>
prime factors 素因数
516988623052971862000704180020184071567<39>
composite cofactor 合成数の残り
1853227052746515860567296672576811627182974086326401726579196009693620625283891046496492252621864364701681480121084165325127<124>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2857971523
Step 1 took 19465ms
Step 2 took 7953ms
********** Factor found in step 2: 516988623052971862000704180020184071567
Found probable prime factor of 39 digits: 516988623052971862000704180020184071567

c124

name 名前Dmitry Domanov
date 日付May 15, 2013 14:30:55 UTC 2013 年 5 月 15 日 (水) 23 時 30 分 55 秒 (日本時間)
composite number 合成数
1853227052746515860567296672576811627182974086326401726579196009693620625283891046496492252621864364701681480121084165325127<124>
prime factors 素因数
287584321208332211971027464508890955890673<42>
6444117137401237820375093669978729725258224313475914012860996841327237640336444599<82>
factorization results 素因数分解の結果
N=1853227052746515860567296672576811627182974086326401726579196009693620625283891046496492252621864364701681480121084165325127
  ( 124 digits)
Divisors found:
 r1=287584321208332211971027464508890955890673 (pp42)
 r2=6444117137401237820375093669978729725258224313475914012860996841327237640336444599 (pp82)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 57.20 hours.
Scaled time: 109.77 units (timescale=1.919).
Factorization parameters were as follows:
n: 1853227052746515860567296672576811627182974086326401726579196009693620625283891046496492252621864364701681480121084165325127
skew: 561703.68
c0: -9446419983963128819067462595
c1: 216419180465735248321775208
c2: 38380135019655102983
c3: -1362914897506170
c4: -103902538
c5: 1740
Y0: -1012688545519686006076734
Y1: 4124428931711
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
type: gnfs
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2700000, 5500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 722390 x 722619
Total sieving time: 56.25 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.50 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
gnfs,123,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,54,54,2.5,2.5,100000
total time: 57.20 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 KamadaMay 11, 2013 10:00:00 UTC 2013 年 5 月 11 日 (土) 19 時 0 分 0 秒 (日本時間)

26×10241+19

c190

name 名前Dmitry Domanov
date 日付May 13, 2013 05:39:23 UTC 2013 年 5 月 13 日 (月) 14 時 39 分 23 秒 (日本時間)
composite number 合成数
1230346051546721076669379793792264670326359706704422076107709162253512999232669715314417642699701911082889946326459040394555674794126649363806251398853432757505051113576619230771401957396927<190>
prime factors 素因数
426262195388764312210176967442960807<36>
composite cofactor 合成数の残り
2886359768368873074771102202949093415527519307334065208274479596028161182777683890597603647851123068555296812584402196125849178176929677935201567445701161<154>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2655541024
Step 1 took 29261ms
Step 2 took 8702ms
********** Factor found in step 2: 426262195388764312210176967442960807
Found probable prime factor of 36 digits: 426262195388764312210176967442960807

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 11, 2013 10:00:00 UTC 2013 年 5 月 11 日 (土) 19 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 19, 2013 15:26:25 UTC 2013 年 5 月 20 日 (月) 0 時 26 分 25 秒 (日本時間)
403e61110110Ignacio SantosMay 19, 2013 15:26:25 UTC 2013 年 5 月 20 日 (月) 0 時 26 分 25 秒 (日本時間)
1000Dmitry DomanovMay 26, 2013 14:12:01 UTC 2013 年 5 月 26 日 (日) 23 時 12 分 1 秒 (日本時間)
4511e6431432Ignacio SantosMay 19, 2013 15:26:25 UTC 2013 年 5 月 20 日 (月) 0 時 26 分 25 秒 (日本時間)
1500Dmitry DomanovMay 26, 2013 14:12:01 UTC 2013 年 5 月 26 日 (日) 23 時 12 分 1 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:46 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 46 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:42 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 42 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:40 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 40 秒 (日本時間)
400Serge BatalovJune 23, 2015 21:29:40 UTC 2015 年 6 月 24 日 (水) 6 時 29 分 40 秒 (日本時間)
232Ignacio SantosDecember 22, 2015 22:17:22 UTC 2015 年 12 月 23 日 (水) 7 時 17 分 22 秒 (日本時間)

26×10243+19

c233

name 名前Dmitry Domanov
date 日付May 27, 2013 05:36:27 UTC 2013 年 5 月 27 日 (月) 14 時 36 分 27 秒 (日本時間)
composite number 合成数
29930377958849650281275991103746777807070117206826416704540381885477441629467047535672072869328097344748622158958017640457971670027271048002593856833143181648182056573217092696964647959715570662188686297076589964028166236508108663573<233>
prime factors 素因数
49784060231385690426852965131333019<35>
composite cofactor 合成数の残り
601204036387141571708422451393714397492584080872935997323740449051483311717168516190726672421273442715445364377401251624238290724926262350611589955885794181466651891602323710308263187629097805802767<198>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3708227019
Step 1 took 116551ms
Step 2 took 33251ms
********** Factor found in step 2: 49784060231385690426852965131333019
Found probable prime factor of 35 digits: 49784060231385690426852965131333019

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 11, 2013 10:00:00 UTC 2013 年 5 月 11 日 (土) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 26, 2013 14:12:11 UTC 2013 年 5 月 26 日 (日) 23 時 12 分 11 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovMay 26, 2013 14:12:11 UTC 2013 年 5 月 26 日 (日) 23 時 12 分 11 秒 (日本時間)

26×10244+19

c240

name 名前Dmitry Domanov
date 日付May 13, 2013 05:38:16 UTC 2013 年 5 月 13 日 (月) 14 時 38 分 16 秒 (日本時間)
composite number 合成数
152102020675344671953966908450378763281870199645602291826446914347257103310617481553242434825746660044378689570890949286261267980945126856010282096597653299824088163011245604397854425496042714927467811409874580183797741752999188594220474219<240>
prime factors 素因数
73702128690400981477445650296991<32>
composite cofactor 合成数の残り
2063739859051785421317670837433082880073561022032789110118565246043456867916872898763451654067819118504737873077740106165709892474680477984284025563478756525242672484589930041991606951337489274849539832144309<208>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1080498048
Step 1 took 45525ms
Step 2 took 11639ms
********** Factor found in step 2: 73702128690400981477445650296991
Found probable prime factor of 32 digits: 73702128690400981477445650296991

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 11, 2013 10:00:00 UTC 2013 年 5 月 11 日 (土) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 26, 2013 14:12:20 UTC 2013 年 5 月 26 日 (日) 23 時 12 分 20 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovMay 26, 2013 14:12:20 UTC 2013 年 5 月 26 日 (日) 23 時 12 分 20 秒 (日本時間)

26×10245+19

c236

composite cofactor 合成数の残り
55391372746514063479063118618993098558121835575333519856154091279729778030114284151977524237919395908973218121272962177921134152884863684412376189524001517794428994104344229023452393599182438541062833927831989392045756678157172120654949<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 11, 2013 10:00:00 UTC 2013 年 5 月 11 日 (土) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 26, 2013 14:12:35 UTC 2013 年 5 月 26 日 (日) 23 時 12 分 35 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovMay 26, 2013 14:12:35 UTC 2013 年 5 月 26 日 (日) 23 時 12 分 35 秒 (日本時間)

26×10247+19

c237

composite cofactor 合成数の残り
391909001828063387271931158567721755447783602877116070203146929759991271688985737784491750744179324451761573866070035710968604946125250474464413368002568876768476797064799981144386075257034469642783942144923382855780873136160770468887747<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 11, 2013 10:00:00 UTC 2013 年 5 月 11 日 (土) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 26, 2013 14:12:46 UTC 2013 年 5 月 26 日 (日) 23 時 12 分 46 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovMay 26, 2013 14:12:46 UTC 2013 年 5 月 26 日 (日) 23 時 12 分 46 秒 (日本時間)

26×10248+19

c216

composite cofactor 合成数の残り
892697843925188899626102016213092092759354698153894037227236779701792892448982554041053234195742697115322629765588391244868026904417122753303990744869149199342382258476612982171670029525729283591694758375658916114061<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 11, 2013 10:00:00 UTC 2013 年 5 月 11 日 (土) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 26, 2013 14:12:57 UTC 2013 年 5 月 26 日 (日) 23 時 12 分 57 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovMay 26, 2013 14:12:57 UTC 2013 年 5 月 26 日 (日) 23 時 12 分 57 秒 (日本時間)

26×10249+19

c209

composite cofactor 合成数の残り
35655812716077691383385551688439643008768246965896000338913461803509990551806424524052762157736183355357525345231448190779245567284610800089883493857977589463740126148508929257423206812522903631960806673569779<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 11, 2013 10:00:00 UTC 2013 年 5 月 11 日 (土) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 26, 2013 14:13:06 UTC 2013 年 5 月 26 日 (日) 23 時 13 分 6 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovMay 26, 2013 14:13:06 UTC 2013 年 5 月 26 日 (日) 23 時 13 分 6 秒 (日本時間)

26×10250+19

c211

composite cofactor 合成数の残り
1021184069338146633186529360671715538699278914172896038335020984414522445027758775426694131659238149410663866488708270191889980285925611387724614812286863401418865949258981768086316977321697065872089260087898227<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 11, 2013 10:00:00 UTC 2013 年 5 月 11 日 (土) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 26, 2013 14:13:16 UTC 2013 年 5 月 26 日 (日) 23 時 13 分 16 秒 (日本時間)
4511e61500Dmitry DomanovMay 26, 2013 14:13:16 UTC 2013 年 5 月 26 日 (日) 23 時 13 分 16 秒 (日本時間)
5043e6800 / 7178Dmitry DomanovJune 4, 2013 12:40:53 UTC 2013 年 6 月 4 日 (火) 21 時 40 分 53 秒 (日本時間)

26×10253+19

c228

composite cofactor 合成数の残り
275345509322705104963477494040826693174508732549474026563139479172086955336263737329871625882769007562748031410930196105216532286611795595571008204836192967907681929603341500258681092473140797852992862372692682177450642773912027<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10254+19

c205

composite cofactor 合成数の残り
3358533324489134680462698263960031659366793442910401674566963383167844654678866919500148518496485541034491809366585495231687882403960690934523188505719354479844472724565248841719330381674063668786887472857<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10255+19

c223

composite cofactor 合成数の残り
2406611270758000363000344637629374939190435154414182984856481644167890265692509307377346685371786169281744704285856448709383593977157878723432373522733144293064060565532525391214078841648668113665277648106544409224342489389<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10256+19

c251

composite cofactor 合成数の残り
20253446961402616636290391118209165292353443526106420490692723193569748703798868938464653178026786118380930102160723409502652461522150922299130792164502235318412618956868025657378202196548641262456551487650733357840004156630499463244706586366423337081<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10257+19

c253

composite cofactor 合成数の残り
7300889304477972374558085594502991960597662030601958323154208822282314157266771687151277234423131463744064517397176802266645325605622807978187189185698119459397227346884907096183600517801533748360809949427301394750660590080337862692736457552348780330281<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10260+19

c189

composite cofactor 合成数の残り
428856917155617683436197932623423948233102583950235289710948155878146141510987986040284639139983626676380358547757845111095565592205281306440930711416219421290015625176410119564308716622597<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 30, 2017 10:30:40 UTC 2017 年 1 月 30 日 (月) 19 時 30 分 40 秒 (日本時間)
4511e6450 / 4306Dmitry DomanovFebruary 3, 2017 10:30:32 UTC 2017 年 2 月 3 日 (金) 19 時 30 分 32 秒 (日本時間)

26×10261+19

c258

composite cofactor 合成数の残り
259628730914791847657849275535983543532748170116733071707458334581548385808294139380685619564023446471545689663780793465344557283085188180901311125091119698830672138841456716894840378259089502012122664589636819348331885403872462378798318404681305732802093007<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10262+19

c197

composite cofactor 合成数の残り
17539015755976121740666274944707547443207495323094839462835440020411574457672361828385511215777600036505625935671611979985983905210203412462619432442371145170233690754212576812434563895444048816851<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 30, 2017 10:31:10 UTC 2017 年 1 月 30 日 (月) 19 時 31 分 10 秒 (日本時間)
4511e6440 / 4306Dmitry DomanovFebruary 4, 2017 11:27:20 UTC 2017 年 2 月 4 日 (土) 20 時 27 分 20 秒 (日本時間)

26×10263+19

c249

composite cofactor 合成数の残り
127719869162169119784917686909727707689786644187221845195439378387003432175374809436362752959919702797639479866709646741194058143495494464376406629104275558533194471654534886033524456662103977210054603745703101677034519005425817155808917997722698173<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10264+19

c245

composite cofactor 合成数の残り
13030006638199061698117118301987096863552007566036211476616678886294839726183215734109907443966564402200774687985802299118416469989294591435924365454394998381495189994967498690708775137920381860756871532896180428398189182567928289628980006806069<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10265+19

c223

composite cofactor 合成数の残り
1577304502437322153035728040191088258554461309987114170427528569246073986627916899222000005801879152366600000860623911038776790802914339424514057378115019232320968836110290609802986682528940623697372799111511967659380886393<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10266+19

c264

composite cofactor 合成数の残り
130778129872742819777677179216337206377948795332226749157487047935214526432272018510135305065137568532769981389266133494291031638247573059705246214979125798501081434535486142548161561289673557668125345807554951964186912127156581660882249383833811176500176047482521<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10267+19

c241

composite cofactor 合成数の残り
3261508550357889199879409391710464306855017365521023732613758676912688419173203580049196836657836551120370371374102828147315807575188015591305237958694579197148219462774806761418926983192883270772743658803170957514308561774393040762696633597<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10269+19

c222

composite cofactor 合成数の残り
327828799612009915601300552719575018934846338538805833595066137862743353899042565457354471989555282581833926148826124011637389091556155936947521726389699937282894297162149063520603588838857901193598810436746399926813172121<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10273+19

c179

name 名前Serge Batalov
date 日付May 1, 2016 01:56:38 UTC 2016 年 5 月 1 日 (日) 10 時 56 分 38 秒 (日本時間)
composite number 合成数
18818120214187200909508063667609189272468651516884366843121792050926267754090936897994645516895347052695774488720449385400290451248993831254267275691120751755024632022346675562631<179>
prime factors 素因数
1482020306311274327401676939717333403587<40>
12697612936913942650771847390503144664465006142151635418446705548524998659481594374355393195753271106513473647669855065891918503341140268013<140>
factorization results 素因数分解の結果
Using B1=6000000, B2=6000000-35128842850, polynomial Dickson(12), sigma=421517492
Step 1 took 20160ms
Step 2 took 12048ms
********** Factor found in step 2: 1482020306311274327401676939717333403587

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovApril 26, 2016 12:09:21 UTC 2016 年 4 月 26 日 (火) 21 時 9 分 21 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovApril 30, 2016 23:43:36 UTC 2016 年 5 月 1 日 (日) 8 時 43 分 36 秒 (日本時間)

26×10275+19

c195

composite cofactor 合成数の残り
355735101775827900470255361479986106657825594550522361092262986436316485761994187143860949227588664597830048104743791602551451043830249956931749772798045909254999525009825452685507342955247964553<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 30, 2017 10:32:02 UTC 2017 年 1 月 30 日 (月) 19 時 32 分 2 秒 (日本時間)
4511e6320 / 4218Dmitry DomanovJanuary 30, 2017 12:15:06 UTC 2017 年 1 月 30 日 (月) 21 時 15 分 6 秒 (日本時間)

26×10277+19

c250

composite cofactor 合成数の残り
1279313882520402561701156115476300144291249436498073545179154774124138600384689342418302449725068565687432537101352944844329183405514921676127490530462050341698216817804446252240799993424201889261374955012150804529801349867282769505061245946374670197<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10278+19

c277

composite cofactor 合成数の残り
2650356778797145769622833843017329255861365953109072375127420998980632008154943934760448521916411824668705402650356778797145769622833843017329255861365953109072375127420998980632008154943934760448521916411824668705402650356778797145769622833843017329255861365953109072375127421<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10280+19

c272

composite cofactor 合成数の残り
52496092282253900395500289454467936245851786297827733164185755153901936644223228374845202829322363244312283270753741168492293890345737222480566597285791835162793579381197381628418562010164729912888131859702362473504083968530144138223774555092341949831734265312289211090399<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10282+19

c233

composite cofactor 合成数の残り
55634893550507044478124631990513466707874750880912258469560635183098560538897598529651641893309122766731968400916214042088251588324580026494796924069641860969512399364260613660830784776061475994367199217916756269533965451854058189003<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10283+19

c253

composite cofactor 合成数の残り
1264953651208373253686904343213088558525298066223063916928882109495749010087453583804455561695367252762124939113418413944303935485760456540644392019741842266651925641806339062131921766027014310617786776631754531188951890286907004700588216348566028174479<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10284+19

c269

composite cofactor 合成数の残り
96888807870862845224024058405012002336708598969185637757158475414218516395134523012776093847006460698860395607581959924728227459053402227140749424640471888690066157131115475444319166874499491928345864717314131356522159751523305203072935272866376069379266077242362516399<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10285+19

c275

composite cofactor 合成数の残り
11940438668948935093555353571235561393550219670834080619137410021056002465450695637491333505542586020604609939276143029966432212677861631143849095971696983658950266940018014612739183714364566737114424631504542988259844274931451099215611927199320520826031379508809561454355727<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10286+19

c259

composite cofactor 合成数の残り
8245649169599580252577748876722560259189876824097338201552630373142670440343761140845341719364236600446498595697036601680879948101848997903179484457531028217004620724803897294239071779012209216588976738655889558762565071592349259981638089348153784584939434301<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10287+19

c239

composite cofactor 合成数の残り
53914791266660933891427367638638277008015367494252036476343536289320059642200724108663474863927949754661616664297231196906096016416897809613692580757480843614736774552802841859946448286094349435232770748234439501902016790602753429399686983<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10288+19

c263

composite cofactor 合成数の残り
25442382165420672193188517059943566125873908147001711417039435869738906915627943966014118166775045705715647478166938295942343507588781702608902750053001857597977750223430283598921099212135541271787074148966529072514704170570786951629152129435982294546295821201013<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10289+19

c200

name 名前Dmitry Domanov
date 日付May 5, 2016 14:05:32 UTC 2016 年 5 月 5 日 (木) 23 時 5 分 32 秒 (日本時間)
composite number 合成数
25439191454203356179813381473664093472338270420751820320798334370048321476742119203571530111605658496992619697087214714704333391348680104723712631406057478022812450875036647712282113251369708287294883<200>
prime factors 素因数
2718682658675397300873385327099733137608804307<46>
9357175753126661880650340866515988071950665413854104560194525242822741769898340344358040697164288286389511398415876409531852512170846158047581465971581169<154>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1417829544
Step 1 took 354241ms
Step 2 took 85427ms
********** Factor found in step 2: 2718682658675397300873385327099733137608804307
Found probable prime factor of 46 digits: 2718682658675397300873385327099733137608804307
Probable prime cofactor 9357175753126661880650340866515988071950665413854104560194525242822741769898340344358040697164288286389511398415876409531852512170846158047581465971581169 has 154 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovApril 26, 2016 12:10:45 UTC 2016 年 4 月 26 日 (火) 21 時 10 分 45 秒 (日本時間)
4511e61200 / 2903Dmitry DomanovApril 30, 2016 23:46:26 UTC 2016 年 5 月 1 日 (日) 8 時 46 分 26 秒 (日本時間)
5043e6400 / 7256Dmitry DomanovMay 4, 2016 14:41:12 UTC 2016 年 5 月 4 日 (水) 23 時 41 分 12 秒 (日本時間)

26×10290+19

c267

composite cofactor 合成数の残り
319861971912977589704386406797437006611940421043716686448283485344448676988789972572974146001234403593332326295448206821877244240307102939879091326708574377746197567483728882162076677710982756672991197716222097648915997249252484882342159476994129277025961695159543109<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10291+19

c204

composite cofactor 合成数の残り
550427704146699806726756283141121086534994656397977049980343094875618479819762489494884925378980488940602271838150908277350411104203655723820001771836201157342451739413109931079101609642117138343445971901<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10292+19

c239

composite cofactor 合成数の残り
17455207684320962494902607303506023016295884822006259094611188179955579034626005616792710507806556824529017326982299280779791541284260358780024782979703145742583710650401976610919570939876538358507682231626316346491161097583841007000931561<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10293+19

c254

composite cofactor 合成数の残り
41719327515160008185265789599490810991882753879443324042255191508625892827068952078444135136546091205672515089944592814352523828358411905311750720375905994645740673429180607534276132712480471216390342583638628119302603047705831101076681922615689671840577<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10294+19

c288

composite cofactor 合成数の残り
248656149793065961217693266055777801553131177222469300361833909110993726281012646049265496990050779698177913723833088488317220749556175072789066910433854006878192523802825122147790829260895512361878322924825995447316298646479459763528192820755650163482332975775353628973445177721866486127<288>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10295+19

c240

composite cofactor 合成数の残り
717661552893114541790969144960754160292025908550533566708714805904317508293323582268668923065168025964645319891106131666412950820663523211004664835803755037809001568186353773136342980147615109091243871434085174493666966481221472001053360107<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10297+19

c273

composite cofactor 合成数の残り
230933849143579615699857333038704847500384031581370957438056841812387863980017664259979106436536194843116040936909978699121245584880166782174587569836156197719584830205405472204804310764072038341060115344730012953467653576587140578062582120513940921037586040481097691409971<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10298+19

c254

composite cofactor 合成数の残り
66759522578741803055322154138507171398599193786410302201741158972393827628110782300961953558361009163086042925384319990690973519669179636448374300964105464468812686681236472636236126763528614341486538879421046110090300159493964887382349047704124997149009<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10299+19

c286

composite cofactor 合成数の残り
7892900686042889889059322210621582691445328496961302816357256469042488756143935348302492687159080435425751211862545323501963316948407446598636630094999997838551444571592675045041205206524585918800124160151139421021525202239499160719411484721332163327047160888108378615474849526238700049<286>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)