Table of contents 目次

32×10105+139

c92

name 名前Serge Batalov
date 日付November 25, 2008 20:31:03 UTC 2008 年 11 月 26 日 (水) 5 時 31 分 3 秒 (日本時間)
composite number 合成数
43485477039976584910743136045130133133538428294391933903186090881596753760752964623976782839<92>
prime factors 素因数
16322666212462824649542261200640023<35>
2664116050279468052227828533131936012933075971887327880993<58>
factorization results 素因数分解の結果
SNFS difficulty: 106 digits.
Divisors found:
 r1=16322666212462824649542261200640023 (pp35)
 r2=2664116050279468052227828533131936012933075971887327880993 (pp58)
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.565).
Factorization parameters were as follows:
n: 43485477039976584910743136045130133133538428294391933903186090881596753760752964623976782839
m: 200000000000000000000000000
deg: 4
c4: 20
c0: 13
skew: 0.90
type: snfs
lss: 1
rlim: 420000
alim: 420000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 420000/420000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [210000, 270001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 38130 x 38343
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,106,4,0,0,0,0,0,0,0,0,420000,420000,25,25,46,46,2.2,2.2,20000
total time: 0.50 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10107+139

c98

name 名前Serge Batalov
date 日付November 25, 2008 06:31:15 UTC 2008 年 11 月 25 日 (火) 15 時 31 分 15 秒 (日本時間)
composite number 合成数
46539793386093068008805999139848309940061756854654412981133208711276518027895347632795470481833049<98>
prime factors 素因数
238802620593963929748934177<27>
194888118356224715493353351777762026261476308030109023440212914292340537<72>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4219071836
Step 1 took 11769ms
Step 2 took 7820ms
********** Factor found in step 2: 238802620593963929748934177
Found probable prime factor of 27 digits: 238802620593963929748934177
Probable prime cofactor 194888118356224715493353351777762026261476308030109023440212914292340537 has 72 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10110+139

c92

name 名前Serge Batalov
date 日付November 25, 2008 06:25:23 UTC 2008 年 11 月 25 日 (火) 15 時 25 分 23 秒 (日本時間)
composite number 合成数
55316572358852963865240933275087915527738093043240284624088897072954774577063844786159374451<92>
prime factors 素因数
7606386568876402013092015181731<31>
7272385101382534798671686555514012222568303439645131667835121<61>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2507754419
Step 1 took 12573ms
Step 2 took 9527ms
********** Factor found in step 2: 7606386568876402013092015181731
Found probable prime factor of 31 digits: 7606386568876402013092015181731
Probable prime cofactor 7272385101382534798671686555514012222568303439645131667835121 has 61 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10113+139

c89

name 名前Sinkiti Sibata
date 日付November 25, 2008 09:12:32 UTC 2008 年 11 月 25 日 (火) 18 時 12 分 32 秒 (日本時間)
composite number 合成数
34493908223685840362451462065513046847262683445436352847040664541897484049027610225468881<89>
prime factors 素因数
722805190445538559579755657850210987340009<42>
47722275212804886755544319503545804388116823209<47>
factorization results 素因数分解の結果
Tue Nov 25 17:21:51 2008  Msieve v. 1.38
Tue Nov 25 17:21:51 2008  random seeds: 73861c22 a47e1017
Tue Nov 25 17:21:51 2008  factoring 34493908223685840362451462065513046847262683445436352847040664541897484049027610225468881 (89 digits)
Tue Nov 25 17:21:52 2008  searching for 15-digit factors
Tue Nov 25 17:21:53 2008  commencing quadratic sieve (89-digit input)
Tue Nov 25 17:21:53 2008  using multiplier of 1
Tue Nov 25 17:21:53 2008  using 32kb Intel Core sieve core
Tue Nov 25 17:21:53 2008  sieve interval: 32 blocks of size 32768
Tue Nov 25 17:21:53 2008  processing polynomials in batches of 7
Tue Nov 25 17:21:53 2008  using a sieve bound of 1556083 (58841 primes)
Tue Nov 25 17:21:53 2008  using large prime bound of 124486640 (26 bits)
Tue Nov 25 17:21:53 2008  using double large prime bound of 372581168808240 (42-49 bits)
Tue Nov 25 17:21:53 2008  using trial factoring cutoff of 49 bits
Tue Nov 25 17:21:53 2008  polynomial 'A' values have 11 factors
Tue Nov 25 18:01:21 2008  59297 relations (17170 full + 42127 combined from 608482 partial), need 58937
Tue Nov 25 18:01:23 2008  begin with 625652 relations
Tue Nov 25 18:01:23 2008  reduce to 138778 relations in 10 passes
Tue Nov 25 18:01:23 2008  attempting to read 138778 relations
Tue Nov 25 18:01:26 2008  recovered 138778 relations
Tue Nov 25 18:01:26 2008  recovered 102781 polynomials
Tue Nov 25 18:01:26 2008  attempting to build 59297 cycles
Tue Nov 25 18:01:26 2008  found 59297 cycles in 5 passes
Tue Nov 25 18:01:26 2008  distribution of cycle lengths:
Tue Nov 25 18:01:26 2008     length 1 : 17170
Tue Nov 25 18:01:26 2008     length 2 : 12193
Tue Nov 25 18:01:26 2008     length 3 : 10649
Tue Nov 25 18:01:26 2008     length 4 : 7548
Tue Nov 25 18:01:26 2008     length 5 : 4978
Tue Nov 25 18:01:26 2008     length 6 : 3084
Tue Nov 25 18:01:26 2008     length 7 : 1791
Tue Nov 25 18:01:26 2008     length 9+: 1884
Tue Nov 25 18:01:26 2008  largest cycle: 16 relations
Tue Nov 25 18:01:26 2008  matrix is 58841 x 59297 (13.8 MB) with weight 3372407 (56.87/col)
Tue Nov 25 18:01:26 2008  sparse part has weight 3372407 (56.87/col)
Tue Nov 25 18:01:26 2008  filtering completed in 3 passes
Tue Nov 25 18:01:26 2008  matrix is 53403 x 53467 (12.5 MB) with weight 3061639 (57.26/col)
Tue Nov 25 18:01:26 2008  sparse part has weight 3061639 (57.26/col)
Tue Nov 25 18:01:27 2008  saving the first 48 matrix rows for later
Tue Nov 25 18:01:27 2008  matrix is 53355 x 53467 (8.5 MB) with weight 2428743 (45.43/col)
Tue Nov 25 18:01:27 2008  sparse part has weight 1915838 (35.83/col)
Tue Nov 25 18:01:27 2008  matrix includes 64 packed rows
Tue Nov 25 18:01:27 2008  using block size 21386 for processor cache size 2048 kB
Tue Nov 25 18:01:27 2008  commencing Lanczos iteration
Tue Nov 25 18:01:27 2008  memory use: 8.0 MB
Tue Nov 25 18:01:45 2008  lanczos halted after 846 iterations (dim = 53348)
Tue Nov 25 18:01:45 2008  recovered 13 nontrivial dependencies
Tue Nov 25 18:01:46 2008  prp42 factor: 722805190445538559579755657850210987340009
Tue Nov 25 18:01:46 2008  prp47 factor: 47722275212804886755544319503545804388116823209
Tue Nov 25 18:01:46 2008  elapsed time 00:39:55

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10119+139

c84

name 名前Sinkiti Sibata
date 日付November 25, 2008 12:07:07 UTC 2008 年 11 月 25 日 (火) 21 時 7 分 7 秒 (日本時間)
composite number 合成数
570677771070118815842205302870178050917454543396455013477008232333098780244762466907<84>
prime factors 素因数
640277981563769011474718630122289<33>
891296885887495874319183654447578766973756482284363<51>
factorization results 素因数分解の結果
Tue Nov 25 16:25:35 2008  Msieve v. 1.38
Tue Nov 25 16:25:35 2008  random seeds: ac2b7704 f677277a
Tue Nov 25 16:25:35 2008  factoring 570677771070118815842205302870178050917454543396455013477008232333098780244762466907 (84 digits)
Tue Nov 25 16:25:38 2008  searching for 15-digit factors
Tue Nov 25 16:25:42 2008  commencing quadratic sieve (84-digit input)
Tue Nov 25 16:25:43 2008  using multiplier of 43
Tue Nov 25 16:25:43 2008  using 64kb Pentium 2 sieve core
Tue Nov 25 16:25:43 2008  sieve interval: 6 blocks of size 65536
Tue Nov 25 16:25:43 2008  processing polynomials in batches of 17
Tue Nov 25 16:25:43 2008  using a sieve bound of 1407293 (53824 primes)
Tue Nov 25 16:25:43 2008  using large prime bound of 119619905 (26 bits)
Tue Nov 25 16:25:43 2008  using double large prime bound of 346773678658515 (41-49 bits)
Tue Nov 25 16:25:43 2008  using trial factoring cutoff of 49 bits
Tue Nov 25 16:25:43 2008  polynomial 'A' values have 11 factors
Tue Nov 25 20:30:12 2008  53931 relations (16424 full + 37507 combined from 568412 partial), need 53920
Tue Nov 25 20:30:18 2008  begin with 584836 relations
Tue Nov 25 20:30:20 2008  reduce to 124724 relations in 10 passes
Tue Nov 25 20:30:20 2008  attempting to read 124724 relations
Tue Nov 25 20:30:26 2008  recovered 124724 relations
Tue Nov 25 20:30:26 2008  recovered 100563 polynomials
Tue Nov 25 20:30:26 2008  attempting to build 53931 cycles
Tue Nov 25 20:30:26 2008  found 53931 cycles in 4 passes
Tue Nov 25 20:30:30 2008  distribution of cycle lengths:
Tue Nov 25 20:30:30 2008     length 1 : 16424
Tue Nov 25 20:30:30 2008     length 2 : 11082
Tue Nov 25 20:30:30 2008     length 3 : 9630
Tue Nov 25 20:30:30 2008     length 4 : 6837
Tue Nov 25 20:30:30 2008     length 5 : 4320
Tue Nov 25 20:30:30 2008     length 6 : 2598
Tue Nov 25 20:30:30 2008     length 7 : 1463
Tue Nov 25 20:30:30 2008     length 9+: 1577
Tue Nov 25 20:30:30 2008  largest cycle: 18 relations
Tue Nov 25 20:30:31 2008  matrix is 53824 x 53931 (11.3 MB) with weight 2739791 (50.80/col)
Tue Nov 25 20:30:31 2008  sparse part has weight 2739791 (50.80/col)
Tue Nov 25 20:30:35 2008  filtering completed in 3 passes
Tue Nov 25 20:30:35 2008  matrix is 48144 x 48208 (10.2 MB) with weight 2482659 (51.50/col)
Tue Nov 25 20:30:35 2008  sparse part has weight 2482659 (51.50/col)
Tue Nov 25 20:30:37 2008  saving the first 48 matrix rows for later
Tue Nov 25 20:30:37 2008  matrix is 48096 x 48208 (5.6 MB) with weight 1823977 (37.84/col)
Tue Nov 25 20:30:37 2008  sparse part has weight 1189151 (24.67/col)
Tue Nov 25 20:30:37 2008  matrix includes 64 packed rows
Tue Nov 25 20:30:38 2008  using block size 5461 for processor cache size 128 kB
Tue Nov 25 20:30:39 2008  commencing Lanczos iteration
Tue Nov 25 20:30:39 2008  memory use: 6.2 MB
Tue Nov 25 20:32:29 2008  lanczos halted after 762 iterations (dim = 48096)
Tue Nov 25 20:32:30 2008  recovered 18 nontrivial dependencies
Tue Nov 25 20:32:32 2008  prp33 factor: 640277981563769011474718630122289
Tue Nov 25 20:32:32 2008  prp51 factor: 891296885887495874319183654447578766973756482284363
Tue Nov 25 20:32:32 2008  elapsed time 04:06:57

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10120+139

c83

name 名前Serge Batalov
date 日付November 25, 2008 06:00:03 UTC 2008 年 11 月 25 日 (火) 15 時 0 分 3 秒 (日本時間)
composite number 合成数
85340872660971294090173270507517656285520645383198389903788282809934040975962854147<83>
prime factors 素因数
750956733862170017094819057059<30>
113642862248618823692705891243347504507404736593836833<54>
factorization results 素因数分解の結果
Factor found in step 2: 750956733862170017094819057059
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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10124+139

c101

name 名前Sinkiti Sibata
date 日付November 25, 2008 13:06:45 UTC 2008 年 11 月 25 日 (火) 22 時 6 分 45 秒 (日本時間)
composite number 合成数
69858658183281510532470852601943169332228650358787493281055371585330045221451803823211994604321396061<101>
prime factors 素因数
10402125562044091642484846822078823468091<41>
6715806088535023166394807724616174297101621140015673344377671<61>
factorization results 素因数分解の結果
Number: 35557_124
N=69858658183281510532470852601943169332228650358787493281055371585330045221451803823211994604321396061
  ( 101 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=10402125562044091642484846822078823468091 (pp41)
 r2=6715806088535023166394807724616174297101621140015673344377671 (pp61)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 3.20 hours.
Scaled time: 1.51 units (timescale=0.472).
Factorization parameters were as follows:
name: 35557_124
n: 69858658183281510532470852601943169332228650358787493281055371585330045221451803823211994604321396061
m: 10000000000000000000000000
deg: 5
c5: 16
c0: 65
skew: 1.32
type: snfs
lss: 1
rlim: 890000
alim: 890000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 890000/890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [445000, 695001)
Primes: RFBsize:70555, AFBsize:70488, largePrimes:2519735 encountered
Relations: rels:2495783, finalFF:266363
Max relations in full relation-set: 28
Initial matrix: 141107 x 266363 with sparse part having weight 18696002.
Pruned matrix : 104070 x 104839 with weight 5169750.
Total sieving time: 2.97 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,890000,890000,26,26,46,46,2.3,2.3,50000
total time: 3.20 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10126+139

c103

name 名前Sinkiti Sibata
date 日付November 25, 2008 20:23:50 UTC 2008 年 11 月 26 日 (水) 5 時 23 分 50 秒 (日本時間)
composite number 合成数
9352008140563424847917023294566006210147916989237119692496652400268872388438878951389661139693484511549<103>
prime factors 素因数
11501538774057476031056012458627<32>
813109299918853671165561790980638470245413633332066936422499433992993087<72>
factorization results 素因数分解の結果
Number: 35557_126
N=9352008140563424847917023294566006210147916989237119692496652400268872388438878951389661139693484511549
  ( 103 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=11501538774057476031056012458627 (pp32)
 r2=813109299918853671165561790980638470245413633332066936422499433992993087 (pp72)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 3.65 hours.
Scaled time: 1.73 units (timescale=0.473).
Factorization parameters were as follows:
name: 35557_126
n: 9352008140563424847917023294566006210147916989237119692496652400268872388438878951389661139693484511549
m: 20000000000000000000000000
deg: 5
c5: 10
c0: 13
skew: 1.05
type: snfs
lss: 1
rlim: 930000
alim: 930000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 930000/930000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [465000, 765001)
Primes: RFBsize:73474, AFBsize:73352, largePrimes:2549493 encountered
Relations: rels:2483110, finalFF:230404
Max relations in full relation-set: 28
Initial matrix: 146892 x 230404 with sparse part having weight 17391688.
Pruned matrix : 120843 x 121641 with weight 6495539.
Total sieving time: 3.35 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,127,5,0,0,0,0,0,0,0,0,930000,930000,26,26,46,46,2.3,2.3,50000
total time: 3.65 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10130+139

c108

name 名前Sinkiti Sibata
date 日付November 25, 2008 22:43:45 UTC 2008 年 11 月 26 日 (水) 7 時 43 分 45 秒 (日本時間)
composite number 合成数
316234285300150577120637906765190725260228622770227425697921490435194156409281796327578461287310422146484467<108>
prime factors 素因数
1050271947861286918310443412512133053<37>
301097526163687219478040228435943897480969623432826469142619137934601839<72>
factorization results 素因数分解の結果
Number: 35557_130
N=316234285300150577120637906765190725260228622770227425697921490435194156409281796327578461287310422146484467
  ( 108 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=1050271947861286918310443412512133053 (pp37)
 r2=301097526163687219478040228435943897480969623432826469142619137934601839 (pp72)
Version: GGNFS-0.77.1-20060513-k8
Total time: 3.12 hours.
Scaled time: 6.11 units (timescale=1.955).
Factorization parameters were as follows:
name: 35557_130
n: 316234285300150577120637906765190725260228622770227425697921490435194156409281796327578461287310422146484467
m: 200000000000000000000000000
deg: 5
c5: 1
c0: 13
skew: 1.67
type: snfs
lss: 1
rlim: 1090000
alim: 1090000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1090000/1090000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [545000, 795001)
Primes: RFBsize:84976, AFBsize:85103, largePrimes:2811907 encountered
Relations: rels:2795363, finalFF:289791
Max relations in full relation-set: 28
Initial matrix: 170143 x 289791 with sparse part having weight 20768407.
Pruned matrix : 128435 x 129349 with weight 6660177.
Total sieving time: 2.93 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1090000,1090000,26,26,47,47,2.3,2.3,50000
total time: 3.12 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10132+139

c100

name 名前Serge Batalov
date 日付November 25, 2008 06:40:43 UTC 2008 年 11 月 25 日 (火) 15 時 40 分 43 秒 (日本時間)
composite number 合成数
8433677967356181383850072142590040602786138830395038522360586595290747971222814398218096730835223789<100>
prime factors 素因数
661868311318946194599394724447<30>
12742229569126623063338124721065029231175785715234648227686968662772787<71>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3096332453
Step 1 took 10644ms
Step 2 took 8337ms
********** Factor found in step 2: 661868311318946194599394724447
Found probable prime factor of 30 digits: 661868311318946194599394724447
Probable prime cofactor 12742229569126623063338124721065029231175785715234648227686968662772787 has 71 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10133+139

c82

name 名前Serge Batalov
date 日付November 25, 2008 05:58:26 UTC 2008 年 11 月 25 日 (火) 14 時 58 分 26 秒 (日本時間)
composite number 合成数
1067283974562450657219633927845179417913759582844266707522004006708319194601372251<82>
prime factors 素因数
3701932676318776884096888982145290362881<40>
288304533842512763257586489293524587911771<42>
factorization results 素因数分解の結果
Mon Nov 24 21:44:24 2008  Msieve v. 1.39
Mon Nov 24 21:44:24 2008  random seeds: 53b7fae1 4fe02420
Mon Nov 24 21:44:24 2008  factoring 1067283974562450657219633927845179417913759582844266707522004006708319194601372251 (82 digits)
Mon Nov 24 21:44:25 2008  searching for 15-digit factors
Mon Nov 24 21:44:25 2008  commencing quadratic sieve (82-digit input)
Mon Nov 24 21:44:26 2008  using multiplier of 11
Mon Nov 24 21:44:26 2008  using 64kb Opteron sieve core
Mon Nov 24 21:44:26 2008  sieve interval: 6 blocks of size 65536
Mon Nov 24 21:44:26 2008  processing polynomials in batches of 17
Mon Nov 24 21:44:26 2008  using a sieve bound of 1334341 (51074 primes)
Mon Nov 24 21:44:26 2008  using large prime bound of 126762395 (26 bits)
Mon Nov 24 21:44:26 2008  using trial factoring cutoff of 27 bits
Mon Nov 24 21:44:26 2008  polynomial 'A' values have 10 factors
Mon Nov 24 21:57:27 2008  51230 relations (26672 full + 24558 combined from 272144 partial), need 51170
Mon Nov 24 21:57:28 2008  begin with 298816 relations
Mon Nov 24 21:57:28 2008  reduce to 72630 relations in 2 passes
Mon Nov 24 21:57:28 2008  attempting to read 72630 relations
Mon Nov 24 21:57:28 2008  recovered 72630 relations
Mon Nov 24 21:57:28 2008  recovered 62674 polynomials
Mon Nov 24 21:57:28 2008  attempting to build 51230 cycles
Mon Nov 24 21:57:28 2008  found 51230 cycles in 1 passes
Mon Nov 24 21:57:28 2008  distribution of cycle lengths:
Mon Nov 24 21:57:28 2008     length 1 : 26672
Mon Nov 24 21:57:28 2008     length 2 : 24558
Mon Nov 24 21:57:28 2008  largest cycle: 2 relations
Mon Nov 24 21:57:28 2008  matrix is 51074 x 51230 (7.6 MB) with weight 1577987 (30.80/col)
Mon Nov 24 21:57:28 2008  sparse part has weight 1577987 (30.80/col)
Mon Nov 24 21:57:29 2008  filtering completed in 3 passes
Mon Nov 24 21:57:29 2008  matrix is 36236 x 36299 (5.9 MB) with weight 1256664 (34.62/col)
Mon Nov 24 21:57:29 2008  sparse part has weight 1256664 (34.62/col)
Mon Nov 24 21:57:29 2008  saving the first 48 matrix rows for later
Mon Nov 24 21:57:29 2008  matrix is 36188 x 36299 (4.6 MB) with weight 1006135 (27.72/col)
Mon Nov 24 21:57:29 2008  sparse part has weight 834315 (22.98/col)
Mon Nov 24 21:57:29 2008  matrix includes 64 packed rows
Mon Nov 24 21:57:29 2008  using block size 14519 for processor cache size 1024 kB
Mon Nov 24 21:57:29 2008  commencing Lanczos iteration
Mon Nov 24 21:57:29 2008  memory use: 4.3 MB
Mon Nov 24 21:57:34 2008  lanczos halted after 573 iterations (dim = 36186)
Mon Nov 24 21:57:34 2008  recovered 16 nontrivial dependencies
Mon Nov 24 21:57:34 2008  prp40 factor: 3701932676318776884096888982145290362881
Mon Nov 24 21:57:34 2008  prp42 factor: 288304533842512763257586489293524587911771
Mon Nov 24 21:57:34 2008  elapsed time 00:13:10

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10134+139

c116

name 名前Sinkiti Sibata
date 日付November 26, 2008 04:22:54 UTC 2008 年 11 月 26 日 (水) 13 時 22 分 54 秒 (日本時間)
composite number 合成数
27834802077806407057659935627871990894848877408888265744552298958093842386798039849894726455952568910653769070419383<116>
prime factors 素因数
3196374879110325254657478673654847444267746688383<49>
8708240782305831710840887083343494810399416878830148384579837357001<67>
factorization results 素因数分解の結果
Number: 35557_134
N=27834802077806407057659935627871990894848877408888265744552298958093842386798039849894726455952568910653769070419383
  ( 116 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=3196374879110325254657478673654847444267746688383 (pp49)
 r2=8708240782305831710840887083343494810399416878830148384579837357001 (pp67)
Version: GGNFS-0.77.1-20060513-k8
Total time: 6.00 hours.
Scaled time: 12.05 units (timescale=2.010).
Factorization parameters were as follows:
name: 35557_134
n: 27834802077806407057659935627871990894848877408888265744552298958093842386798039849894726455952568910653769070419383
m: 1000000000000000000000000000
deg: 5
c5: 16
c0: 65
skew: 1.32
type: snfs
lss: 1
rlim: 1300000
alim: 1300000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [650000, 1175001)
Primes: RFBsize:100021, AFBsize:100193, largePrimes:3501357 encountered
Relations: rels:3766590, finalFF:544316
Max relations in full relation-set: 28
Initial matrix: 200278 x 544316 with sparse part having weight 44663294.
Pruned matrix : 133071 x 134136 with weight 11084208.
Total sieving time: 5.73 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,48,48,2.3,2.3,75000
total time: 6.00 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10137+139

c96

name 名前Sinkiti Sibata
date 日付November 26, 2008 04:35:38 UTC 2008 年 11 月 26 日 (水) 13 時 35 分 38 秒 (日本時間)
composite number 合成数
510728661338377406183907643299278443750079883884964732152000041361727719148120748810880513385649<96>
prime factors 素因数
88546528817072023971206079968369863534097279<44>
5767912849452179312919971545551350229311180122030031<52>
factorization results 素因数分解の結果
Wed Nov 26 05:14:00 2008  Msieve v. 1.38
Wed Nov 26 05:14:00 2008  random seeds: cf0e7240 51db047a
Wed Nov 26 05:14:00 2008  factoring 510728661338377406183907643299278443750079883884964732152000041361727719148120748810880513385649 (96 digits)
Wed Nov 26 05:14:00 2008  searching for 15-digit factors
Wed Nov 26 05:14:02 2008  commencing quadratic sieve (96-digit input)
Wed Nov 26 05:14:02 2008  using multiplier of 1
Wed Nov 26 05:14:02 2008  using 32kb Intel Core sieve core
Wed Nov 26 05:14:02 2008  sieve interval: 36 blocks of size 32768
Wed Nov 26 05:14:02 2008  processing polynomials in batches of 6
Wed Nov 26 05:14:02 2008  using a sieve bound of 2265611 (83418 primes)
Wed Nov 26 05:14:02 2008  using large prime bound of 339841650 (28 bits)
Wed Nov 26 05:14:02 2008  using double large prime bound of 2271422065653900 (43-52 bits)
Wed Nov 26 05:14:02 2008  using trial factoring cutoff of 52 bits
Wed Nov 26 05:14:02 2008  polynomial 'A' values have 12 factors
Wed Nov 26 09:51:26 2008  83756 relations (20168 full + 63588 combined from 1271970 partial), need 83514
Wed Nov 26 09:51:28 2008  begin with 1292138 relations
Wed Nov 26 09:51:29 2008  reduce to 221157 relations in 13 passes
Wed Nov 26 09:51:29 2008  attempting to read 221157 relations
Wed Nov 26 09:51:33 2008  recovered 221157 relations
Wed Nov 26 09:51:33 2008  recovered 206126 polynomials
Wed Nov 26 09:51:33 2008  attempting to build 83756 cycles
Wed Nov 26 09:51:33 2008  found 83756 cycles in 7 passes
Wed Nov 26 09:51:33 2008  distribution of cycle lengths:
Wed Nov 26 09:51:33 2008     length 1 : 20168
Wed Nov 26 09:51:33 2008     length 2 : 14206
Wed Nov 26 09:51:33 2008     length 3 : 13951
Wed Nov 26 09:51:33 2008     length 4 : 11416
Wed Nov 26 09:51:33 2008     length 5 : 8719
Wed Nov 26 09:51:33 2008     length 6 : 6047
Wed Nov 26 09:51:33 2008     length 7 : 3746
Wed Nov 26 09:51:33 2008     length 9+: 5503
Wed Nov 26 09:51:33 2008  largest cycle: 20 relations
Wed Nov 26 09:51:34 2008  matrix is 83418 x 83756 (23.2 MB) with weight 5751541 (68.67/col)
Wed Nov 26 09:51:34 2008  sparse part has weight 5751541 (68.67/col)
Wed Nov 26 09:51:34 2008  filtering completed in 3 passes
Wed Nov 26 09:51:34 2008  matrix is 79674 x 79736 (22.2 MB) with weight 5495801 (68.92/col)
Wed Nov 26 09:51:34 2008  sparse part has weight 5495801 (68.92/col)
Wed Nov 26 09:51:35 2008  saving the first 48 matrix rows for later
Wed Nov 26 09:51:35 2008  matrix is 79626 x 79736 (16.3 MB) with weight 4608485 (57.80/col)
Wed Nov 26 09:51:35 2008  sparse part has weight 3785457 (47.47/col)
Wed Nov 26 09:51:35 2008  matrix includes 64 packed rows
Wed Nov 26 09:51:35 2008  using block size 31894 for processor cache size 1024 kB
Wed Nov 26 09:51:36 2008  commencing Lanczos iteration
Wed Nov 26 09:51:36 2008  memory use: 14.4 MB
Wed Nov 26 09:52:30 2008  lanczos halted after 1261 iterations (dim = 79624)
Wed Nov 26 09:52:30 2008  recovered 16 nontrivial dependencies
Wed Nov 26 09:52:32 2008  prp44 factor: 88546528817072023971206079968369863534097279
Wed Nov 26 09:52:32 2008  prp52 factor: 5767912849452179312919971545551350229311180122030031
Wed Nov 26 09:52:32 2008  elapsed time 04:38:32

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10138+139

c116

name 名前Sinkiti Sibata
date 日付November 27, 2008 02:59:07 UTC 2008 年 11 月 27 日 (木) 11 時 59 分 7 秒 (日本時間)
composite number 合成数
98492630076053819893362066775404397948947703796013667845436549228724048750081144551122623075631307653019377351264137<116>
prime factors 素因数
38286075216383022257640191847520543<35>
2572544443884594548631930409137038593963600087065351749783286536175566198407004759<82>
factorization results 素因数分解の結果
Number: 35557_138
N=98492630076053819893362066775404397948947703796013667845436549228724048750081144551122623075631307653019377351264137
  ( 116 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=38286075216383022257640191847520543 (pp35)
 r2=2572544443884594548631930409137038593963600087065351749783286536175566198407004759 (pp82)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 11.96 hours.
Scaled time: 5.64 units (timescale=0.472).
Factorization parameters were as follows:
name: 35557_138
n: 98492630076053819893362066775404397948947703796013667845436549228724048750081144551122623075631307653019377351264137
m: 4000000000000000000000000000
deg: 5
c5: 125
c0: 52
skew: 0.84
type: snfs
lss: 1
rlim: 1510000
alim: 1510000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1510000/1510000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [755000, 1730001)
Primes: RFBsize:114886, AFBsize:114462, largePrimes:3597792 encountered
Relations: rels:3646300, finalFF:319530
Max relations in full relation-set: 28
Initial matrix: 229414 x 319530 with sparse part having weight 29910094.
Pruned matrix : 203028 x 204239 with weight 15985370.
Total sieving time: 10.78 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.94 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1510000,1510000,26,26,48,48,2.3,2.3,75000
total time: 11.96 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10143+139

c130

name 名前Sinkiti Sibata
date 日付November 27, 2008 06:51:25 UTC 2008 年 11 月 27 日 (木) 15 時 51 分 25 秒 (日本時間)
composite number 合成数
6740615700430520249355904501258211265810098697425404834449623922044888793184621364778853022916598827039769466350315646703231345809<130>
prime factors 素因数
129540884783737232563732791036117978164375414441872727<54>
52034658491669865443373273867237919313125763903812941156376897881115098465367<77>
factorization results 素因数分解の結果
Number: 35557_143
N=6740615700430520249355904501258211265810098697425404834449623922044888793184621364778853022916598827039769466350315646703231345809
  ( 130 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=129540884783737232563732791036117978164375414441872727 (pp54)
 r2=52034658491669865443373273867237919313125763903812941156376897881115098465367 (pp77)
Version: GGNFS-0.77.1-20060513-k8
Total time: 17.48 hours.
Scaled time: 34.27 units (timescale=1.960).
Factorization parameters were as follows:
name: 35557_143
n: 6740615700430520249355904501258211265810098697425404834449623922044888793184621364778853022916598827039769466350315646703231345809
m: 40000000000000000000000000000
deg: 5
c5: 125
c0: 52
skew: 0.84
type: snfs
lss: 1
rlim: 1830000
alim: 1830000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1830000/1830000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [915000, 2415001)
Primes: RFBsize:137166, AFBsize:136949, largePrimes:4152822 encountered
Relations: rels:4421422, finalFF:440986
Max relations in full relation-set: 28
Initial matrix: 274181 x 440986 with sparse part having weight 48070702.
Pruned matrix : 226240 x 227674 with weight 23821835.
Total sieving time: 16.49 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.74 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1830000,1830000,26,26,49,49,2.3,2.3,100000
total time: 17.48 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10144+139

c136

name 名前Sinkiti Sibata
date 日付November 27, 2008 14:24:28 UTC 2008 年 11 月 27 日 (木) 23 時 24 分 28 秒 (日本時間)
composite number 合成数
2275075570668006667408416664582715217962668403122646130164091579475502742753222207109250686832570806669892884503086078549022687216471893<136>
prime factors 素因数
21343091280175666099265930659020264876344915006263847<53>
106595410233811335107263401150127469936167809467849002202851268941550486159081360419<84>
factorization results 素因数分解の結果
Number: 35557_144
N=2275075570668006667408416664582715217962668403122646130164091579475502742753222207109250686832570806669892884503086078549022687216471893
  ( 136 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=21343091280175666099265930659020264876344915006263847 (pp53)
 r2=106595410233811335107263401150127469936167809467849002202851268941550486159081360419 (pp84)
Version: GGNFS-0.77.1-20060513-k8
Total time: 14.18 hours.
Scaled time: 27.80 units (timescale=1.960).
Factorization parameters were as follows:
name: 35557_144
n: 2275075570668006667408416664582715217962668403122646130164091579475502742753222207109250686832570806669892884503086078549022687216471893
m: 100000000000000000000000000000
deg: 5
c5: 16
c0: 65
skew: 1.32
type: snfs
lss: 1
rlim: 1910000
alim: 1910000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1910000/1910000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [955000, 2055001)
Primes: RFBsize:142718, AFBsize:142665, largePrimes:4190102 encountered
Relations: rels:4488048, finalFF:534806
Max relations in full relation-set: 28
Initial matrix: 285447 x 534806 with sparse part having weight 51597395.
Pruned matrix : 216011 x 217502 with weight 20112430.
Total sieving time: 13.43 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.53 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1910000,1910000,26,26,49,49,2.3,2.3,100000
total time: 14.18 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10145+139

c135

name 名前Serge Batalov
date 日付November 25, 2008 07:57:02 UTC 2008 年 11 月 25 日 (火) 16 時 57 分 2 秒 (日本時間)
composite number 合成数
300581646694173102754989957730357512537506582488896855340284419687744533384371572427030444849066320698471799488342573090961576245101059<135>
prime factors 素因数
254681218216645409818996342939<30>
composite cofactor 合成数の残り
1180226986500756972134059759800332242451110673451530099017680638918163275649167707645548036671643354257081<106>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=905853048
Step 1 took 15690ms
Step 2 took 12502ms
********** Factor found in step 2: 254681218216645409818996342939
Found probable prime factor of 30 digits: 254681218216645409818996342939
Composite cofactor 1180226986500756972134059759800332242451110673451530099017680638918163275649167707645548036671643354257081 has 106 digits
software ソフトウェア
GMP-ECM 6.2.1

c106

name 名前Robert Backstrom
date 日付November 25, 2008 16:48:11 UTC 2008 年 11 月 26 日 (水) 1 時 48 分 11 秒 (日本時間)
composite number 合成数
1180226986500756972134059759800332242451110673451530099017680638918163275649167707645548036671643354257081<106>
prime factors 素因数
5229918696886448659761231433046467<34>
225668323907862446214856345291670054173175166345927281111241519005977043<72>
factorization results 素因数分解の結果
GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 1180226986500756972134059759800332242451110673451530099017680638918163275649167707645548036671643354257081 (106 digits)
Using B1=882000, B2=702018447, polynomial Dickson(3), sigma=923708382
Step 1 took 8610ms
Step 2 took 6406ms
********** Factor found in step 2: 5229918696886448659761231433046467
Found probable prime factor of 34 digits: 5229918696886448659761231433046467
Probable prime cofactor 225668323907862446214856345291670054173175166345927281111241519005977043 has 72 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10147+139

c124

name 名前Sinkiti Sibata
date 日付November 27, 2008 02:42:56 UTC 2008 年 11 月 27 日 (木) 11 時 42 分 56 秒 (日本時間)
composite number 合成数
4503440539192284694080254631636649733208049606510396053663091715437410543570581827078424255488049582122601901054604325523853<124>
prime factors 素因数
72519105901762960424586887146043201269<38>
237393285754289721684399278650422527285701<42>
261591459190022276610663797779771133402539237<45>
factorization results 素因数分解の結果
Number: 35557_147
N=4503440539192284694080254631636649733208049606510396053663091715437410543570581827078424255488049582122601901054604325523853
  ( 124 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=72519105901762960424586887146043201269 (pp38)
 r2=237393285754289721684399278650422527285701 (pp42)
 r3=261591459190022276610663797779771133402539237 (pp45)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 19.05 hours.
Scaled time: 19.22 units (timescale=1.009).
Factorization parameters were as follows:
name: 35557_147
n: 4503440539192284694080254631636649733208049606510396053663091715437410543570581827078424255488049582122601901054604325523853
m: 200000000000000000000000000000
deg: 5
c5: 100
c0: 13
skew: 0.66
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2750001)
Primes: RFBsize:155805, AFBsize:156147, largePrimes:4692420 encountered
Relations: rels:5382227, finalFF:751102
Max relations in full relation-set: 28
Initial matrix: 312016 x 751102 with sparse part having weight 87947570.
Pruned matrix : 224954 x 226578 with weight 36935309.
Total sieving time: 18.48 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.43 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 19.05 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10148+139

c122

name 名前Serge Batalov
date 日付November 25, 2008 06:48:43 UTC 2008 年 11 月 25 日 (火) 15 時 48 分 43 秒 (日本時間)
composite number 合成数
43422774870900793323934237322235088936594483514664051040154592391174902724720229332311670945908772187359161515308068113657<122>
prime factors 素因数
331676232498798305313287633537<30>
composite cofactor 合成数の残り
130919163377370183397007958071376655425247437752619741439878676248451252269473992284455216761<93>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1788152846
Step 1 took 15351ms
Step 2 took 12352ms
********** Factor found in step 2: 331676232498798305313287633537
Found probable prime factor of 30 digits: 331676232498798305313287633537
Composite cofactor 130919163377370183397007958071376655425247437752619741439878676248451252269473992284455216761 has 93 digits
software ソフトウェア
GMP-ECM 6.2.1

c93

name 名前Erik Branger
date 日付November 26, 2008 12:44:32 UTC 2008 年 11 月 26 日 (水) 21 時 44 分 32 秒 (日本時間)
composite number 合成数
130919163377370183397007958071376655425247437752619741439878676248451252269473992284455216761<93>
prime factors 素因数
94903203682704040124208587387626991143<38>
1379502043103630182118926944969415246125508853045791327<55>
factorization results 素因数分解の結果
Wed Nov 26 12:04:05 2008  Msieve v. 1.38
Wed Nov 26 12:04:05 2008  random seeds: ba40a840 d9ff2749
Wed Nov 26 12:04:05 2008  factoring 130919163377370183397007958071376655425247437752619741439878676248451252269473992284455216761 (93 digits)
Wed Nov 26 12:04:06 2008  searching for 15-digit factors
Wed Nov 26 12:04:07 2008  commencing quadratic sieve (93-digit input)
Wed Nov 26 12:04:07 2008  using multiplier of 1
Wed Nov 26 12:04:07 2008  using 32kb Intel Core sieve core
Wed Nov 26 12:04:07 2008  sieve interval: 36 blocks of size 32768
Wed Nov 26 12:04:07 2008  processing polynomials in batches of 6
Wed Nov 26 12:04:07 2008  using a sieve bound of 1885753 (70588 primes)
Wed Nov 26 12:04:07 2008  using large prime bound of 220633101 (27 bits)
Wed Nov 26 12:04:07 2008  using double large prime bound of 1043775707505921 (42-50 bits)
Wed Nov 26 12:04:07 2008  using trial factoring cutoff of 50 bits
Wed Nov 26 12:04:07 2008  polynomial 'A' values have 12 factors
Wed Nov 26 13:42:50 2008  70721 relations (18727 full + 51994 combined from 909015 partial), need 70684
Wed Nov 26 13:42:51 2008  begin with 927742 relations
Wed Nov 26 13:42:52 2008  reduce to 175950 relations in 10 passes
Wed Nov 26 13:42:52 2008  attempting to read 175950 relations
Wed Nov 26 13:42:54 2008  recovered 175950 relations
Wed Nov 26 13:42:54 2008  recovered 151728 polynomials
Wed Nov 26 13:42:54 2008  attempting to build 70721 cycles
Wed Nov 26 13:42:54 2008  found 70721 cycles in 6 passes
Wed Nov 26 13:42:54 2008  distribution of cycle lengths:
Wed Nov 26 13:42:54 2008     length 1 : 18727
Wed Nov 26 13:42:54 2008     length 2 : 13332
Wed Nov 26 13:42:54 2008     length 3 : 12178
Wed Nov 26 13:42:54 2008     length 4 : 9387
Wed Nov 26 13:42:54 2008     length 5 : 6780
Wed Nov 26 13:42:54 2008     length 6 : 4296
Wed Nov 26 13:42:54 2008     length 7 : 2643
Wed Nov 26 13:42:54 2008     length 9+: 3378
Wed Nov 26 13:42:54 2008  largest cycle: 19 relations
Wed Nov 26 13:42:55 2008  matrix is 70588 x 70721 (17.1 MB) with weight 4196924 (59.34/col)
Wed Nov 26 13:42:55 2008  sparse part has weight 4196924 (59.34/col)
Wed Nov 26 13:42:55 2008  filtering completed in 3 passes
Wed Nov 26 13:42:55 2008  matrix is 66187 x 66251 (16.1 MB) with weight 3964446 (59.84/col)
Wed Nov 26 13:42:55 2008  sparse part has weight 3964446 (59.84/col)
Wed Nov 26 13:42:56 2008  saving the first 48 matrix rows for later
Wed Nov 26 13:42:56 2008  matrix is 66139 x 66251 (9.5 MB) with weight 3022847 (45.63/col)
Wed Nov 26 13:42:56 2008  sparse part has weight 2093712 (31.60/col)
Wed Nov 26 13:42:56 2008  matrix includes 64 packed rows
Wed Nov 26 13:42:56 2008  using block size 26500 for processor cache size 2048 kB
Wed Nov 26 13:42:56 2008  commencing Lanczos iteration
Wed Nov 26 13:42:56 2008  memory use: 9.7 MB
Wed Nov 26 13:43:19 2008  lanczos halted after 1047 iterations (dim = 66133)
Wed Nov 26 13:43:20 2008  recovered 13 nontrivial dependencies
Wed Nov 26 13:43:20 2008  prp38 factor: 94903203682704040124208587387626991143
Wed Nov 26 13:43:20 2008  prp55 factor: 1379502043103630182118926944969415246125508853045791327
Wed Nov 26 13:43:20 2008  elapsed time 01:39:15
software ソフトウェア
Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10149+139

c120

name 名前Serge Batalov
date 日付November 25, 2008 06:42:52 UTC 2008 年 11 月 25 日 (火) 15 時 42 分 52 秒 (日本時間)
composite number 合成数
127878784461781318723447869844535207617104243597188191480805791441861069532141281457433392009586404316082906314697605211<120>
prime factors 素因数
25145039467698927171165751342183<32>
3767430535319777861990133738332443<34>
1349897908339817126731715201675741182458631650813620119<55>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2310493951
Step 1 took 16384ms
********** Factor found in step 1: 25145039467698927171165751342183
Found probable prime factor of 32 digits: 25145039467698927171165751342183

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=169416394
Step 1 took 15265ms
Step 2 took 12202ms
********** Factor found in step 2: 3767430535319777861990133738332443
Found probable prime factor of 34 digits: 3767430535319777861990133738332443
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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10150+139

c144

name 名前Serge Batalov
date 日付November 26, 2008 02:58:50 UTC 2008 年 11 月 26 日 (水) 11 時 58 分 50 秒 (日本時間)
composite number 合成数
104029245455694534401296266815925227315360792262286517887485784688063447384788805368684083392482899388177024889520372416116318636338357552528259<144>
prime factors 素因数
2431428001729590940164509177974037642037881794664501<52>
42785246111212653779850385352873604265492028686791920253084903971196032603178702127108172759<92>
factorization results 素因数分解の結果
SNFS difficulty: 151 digits.
Divisors found:
 r1=2431428001729590940164509177974037642037881794664501 (pp52)
 r2=42785246111212653779850385352873604265492028686791920253084903971196032603178702127108172759 (pp92)
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.950).
Factorization parameters were as follows:
n: 104029245455694534401296266815925227315360792262286517887485784688063447384788805368684083392482899388177024889520372416116318636338357552528259
m: 2000000000000000000000000000000
deg: 5
c5: 1
c0: 13
skew: 1.67
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1150000, 1750001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 289384 x 289626
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,151,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,52,52,2.4,2.4,200000
total time: 10.00 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10151+139

c135

name 名前Robert Backstrom
date 日付November 28, 2008 02:28:08 UTC 2008 年 11 月 28 日 (金) 11 時 28 分 8 秒 (日本時間)
composite number 合成数
262481858712354698059517611967957792929674054710118423170194967391373575737986775226844972214369983360318353897435684826276256295295679<135>
prime factors 素因数
35286918260832971119796069080905050350002961841266080149<56>
7438503322170209816946556791363220387621438800981627959820246469138811695379971<79>
factorization results 素因数分解の結果
Number: n
N=262481858712354698059517611967957792929674054710118423170194967391373575737986775226844972214369983360318353897435684826276256295295679
  ( 135 digits)
SNFS difficulty: 152 digits.
Divisors found:

Fri Nov 28 13:16:03 2008  prp56 factor: 35286918260832971119796069080905050350002961841266080149
Fri Nov 28 13:16:03 2008  prp79 factor: 7438503322170209816946556791363220387621438800981627959820246469138811695379971
Fri Nov 28 13:16:03 2008  elapsed time 00:30:14 (Msieve 1.38)

Version: GGNFS-0.77.1-20050930-k8
Total time: 12.47 hours.
Scaled time: 10.43 units (timescale=0.836).
Factorization parameters were as follows:
name: KA_3_5_150_7
n: 262481858712354698059517611967957792929674054710118423170194967391373575737986775226844972214369983360318353897435684826276256295295679
type: snfs
skew: 1.05
deg: 5
c5: 10
c0: 13
m: 2000000000000000000000000000000
rlim: 2400000
alim: 2400000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 700001)
Primes: RFBsize:176302, AFBsize:176888, largePrimes:10574079 encountered
Relations: rels:9335262, finalFF:404813
Max relations in full relation-set: 28
Initial matrix: 353256 x 404813 with sparse part having weight 34304116.
Pruned matrix : 315684 x 317514 with weight 23782300.
Total sieving time: 12.27 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,28,28,56,56,2.5,2.5,100000
total time: 12.47 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10153+139

c140

name 名前Serge Batalov
date 日付November 26, 2008 07:54:07 UTC 2008 年 11 月 26 日 (水) 16 時 54 分 7 秒 (日本時間)
composite number 合成数
12155658921966888698616208655832446688236837622138948118055634331019789700340514206626868868857159960301790182378014050733043219562806878909<140>
prime factors 素因数
403967241451444975239778660111155267040127<42>
30090704578648225872257958579041618055553664570878690395590884572436070064354330906165968391395267<98>
factorization results 素因数分解の結果
SNFS difficulty: 155 digits.
Divisors found:
 r1=403967241451444975239778660111155267040127 (pp42)
 r2=30090704578648225872257958579041618055553664570878690395590884572436070064354330906165968391395267 (pp98)
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.723).
Factorization parameters were as follows:
n: 12155658921966888698616208655832446688236837622138948118055634331019789700340514206626868868857159960301790182378014050733043219562806878909
m: 4000000000000000000000000000000
deg: 5
c5: 125
c0: 52
skew: 0.84
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1350000, 2250001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 563951 x 564193
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,155,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,52,52,2.5,2.5,100000
total time: 13.00 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10155+139

c146

name 名前Serge Batalov
date 日付November 25, 2008 09:09:25 UTC 2008 年 11 月 25 日 (火) 18 時 9 分 25 秒 (日本時間)
composite number 合成数
12161094296323069713058728989663370724999307679447659287733897583351735010028330089999146173027766347792319096288711791176918848529504101184336313<146>
prime factors 素因数
836420183209442561075511309839<30>
composite cofactor 合成数の残り
14539455814731205321210177525875969087182313619367490212466311977932541637996102085909142345349193136322821376598967<116>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3636140472
Step 1 took 19495ms
Step 2 took 14178ms
********** Factor found in step 2: 836420183209442561075511309839
Found probable prime factor of 30 digits: 836420183209442561075511309839
Composite cofactor 14539455814731205321210177525875969087182313619367490212466311977932541637996102085909142345349193136322821376598967 has 116 digits
software ソフトウェア
GMP-ECM 6.2.1

c116

name 名前Sinkiti Sibata
date 日付November 28, 2008 06:09:19 UTC 2008 年 11 月 28 日 (金) 15 時 9 分 19 秒 (日本時間)
composite number 合成数
14539455814731205321210177525875969087182313619367490212466311977932541637996102085909142345349193136322821376598967<116>
prime factors 素因数
23094872044969571779279121773911112181383<41>
629553425817664516608346615262883641525165764299729025538826136158686426449<75>
factorization results 素因数分解の結果
Number: 35557_155
N=14539455814731205321210177525875969087182313619367490212466311977932541637996102085909142345349193136322821376598967
  ( 116 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=23094872044969571779279121773911112181383 (pp41)
 r2=629553425817664516608346615262883641525165764299729025538826136158686426449 (pp75)
Version: GGNFS-0.77.1-20060513-k8
Total time: 25.53 hours.
Scaled time: 50.99 units (timescale=1.997).
Factorization parameters were as follows:
name: 35557_155
n: 14539455814731205321210177525875969087182313619367490212466311977932541637996102085909142345349193136322821376598967
m: 20000000000000000000000000000000
deg: 5
c5: 1
c0: 13
skew: 1.67
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2100001)
Primes: RFBsize:203362, AFBsize:202632, largePrimes:7931710 encountered
Relations: rels:8033044, finalFF:597631
Max relations in full relation-set: 28
Initial matrix: 406058 x 597631 with sparse part having weight 61275731.
Pruned matrix : 323038 x 325132 with weight 32326940.
Total sieving time: 23.64 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 1.53 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 25.53 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10157+139

c87

name 名前Serge Batalov
date 日付November 25, 2008 06:05:06 UTC 2008 年 11 月 25 日 (火) 15 時 5 分 6 秒 (日本時間)
composite number 合成数
231364679757435843197483739727063502296790170612344616194313493704543130015831527176761<87>
prime factors 素因数
1037983176934327212428494372699<31>
222898294402775465729776596045681470561860226927431308539<57>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1740884508
Step 1 took 9068ms
Step 2 took 7069ms
********** Factor found in step 2: 1037983176934327212428494372699
Found probable prime factor of 31 digits: 1037983176934327212428494372699
Probable prime cofactor 222898294402775465729776596045681470561860226927431308539 has 57 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10158+139

c128

name 名前Serge Batalov
date 日付November 25, 2008 08:13:55 UTC 2008 年 11 月 25 日 (火) 17 時 13 分 55 秒 (日本時間)
composite number 合成数
53043977664907007419677831063124525543567048518561448234476198458755695331762324521339507033817791476012972514643918609785905533<128>
prime factors 素因数
29917160077671362567875821596807351<35>
composite cofactor 合成数の残り
1773028506956992823270714966016153997533707382744774221590296026068158413217827561776171205483<94>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2227927754
Step 1 took 13273ms
Step 2 took 9689ms
********** Factor found in step 2: 29917160077671362567875821596807351
Found probable prime factor of 35 digits: 29917160077671362567875821596807351
Composite cofactor 1773028506956992823270714966016153997533707382744774221590296026068158413217827561776171205483 has 94 digits
software ソフトウェア
GMP-ECM 6.2.1

c94

name 名前Robert Backstrom
date 日付November 26, 2008 03:30:12 UTC 2008 年 11 月 26 日 (水) 12 時 30 分 12 秒 (日本時間)
composite number 合成数
1773028506956992823270714966016153997533707382744774221590296026068158413217827561776171205483<94>
prime factors 素因数
6043839649643906935863300584811449219393<40>
293361275238573998016222754474394638893197836210505131<54>
factorization results 素因数分解の結果
Number: n
N=1773028506956992823270714966016153997533707382744774221590296026068158413217827561776171205483
  ( 94 digits)
Divisors found:
 r1=6043839649643906935863300584811449219393 (pp40)
 r2=293361275238573998016222754474394638893197836210505131 (pp54)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 6.60 hours.
Scaled time: 8.65 units (timescale=1.310).
Factorization parameters were as follows:
name: KA_3_5_157_7
n:  1773028506956992823270714966016153997533707382744774221590296026068158413217827561776171205483
m:  3101524404745634812660
deg: 4
c4: 19160856
c3: 80284134
c2: -135811583081129561
c1: -160852531582126458026
c0: 1407163380862846602243
skew: 1635.250
type: gnfs
# adj. I(F,S) = 55.938
# E(F1,F2) = 5.489594e-05
# GGNFS version 0.77.1-20060513-athlon-xp polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1227641341.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [100000, 880001)
Primes: RFBsize:92938, AFBsize:93100, largePrimes:1766464 encountered
Relations: rels:1793660, finalFF:209859
Max relations in full relation-set: 28
Initial matrix: 186117 x 209859 with sparse part having weight 12840070.
Pruned matrix : 168779 x 169773 with weight 8560939.
Polynomial selection time: 0.17 hours.
Total sieving time: 5.89 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.40 hours.
Total square root time: 0.04 hours, sqrts: 1.
Prototype def-par.txt line would be:
gnfs,93,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 6.60 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10159+139

c151

name 名前Serge Batalov
date 日付November 26, 2008 06:38:41 UTC 2008 年 11 月 26 日 (水) 15 時 38 分 41 秒 (日本時間)
composite number 合成数
5350790106805317102401796263181789103694200689326538071352094150203217297960148837249875002658694735842746643525823775285104514761742272980566285992413<151>
prime factors 素因数
1232966069094936177518596294215111397980392397178880244356891<61>
4339770769793435292184566514528285478018485043899804024027687412872122711201864678555927143<91>
factorization results 素因数分解の結果
SNFS difficulty: 161 digits.
Divisors found:
 r1=1232966069094936177518596294215111397980392397178880244356891 (pp61)
 r2=4339770769793435292184566514528285478018485043899804024027687412872122711201864678555927143 (pp91)
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.949).
Factorization parameters were as follows:
n: 5350790106805317102401796263181789103694200689326538071352094150203217297960148837249875002658694735842746643525823775285104514761742272980566285992413
m: 100000000000000000000000000000000
deg: 5
c5: 16
c0: 65
skew: 1.32
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1700000, 2900001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 503048 x 503290
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,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,52,52,2.5,2.5,200000
total time: 22.00 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10164+139

c116

name 名前Robert Backstrom
date 日付December 4, 2008 02:28:57 UTC 2008 年 12 月 4 日 (木) 11 時 28 分 57 秒 (日本時間)
composite number 合成数
93712788760030341200758687850157434280544815854859669843832571475209729383133361618332274540247415803878813219411629<116>
prime factors 素因数
135668168107915602062507621783920751448705463501108031083<57>
690750012084541731056403382306042079849402924714875383489863<60>
factorization results 素因数分解の結果
Number: n
N=93712788760030341200758687850157434280544815854859669843832571475209729383133361618332274540247415803878813219411629
  ( 116 digits)
Divisors found:

Thu Dec 04 13:22:30 2008  prp57 factor: 135668168107915602062507621783920751448705463501108031083
Thu Dec 04 13:22:30 2008  prp60 factor: 690750012084541731056403382306042079849402924714875383489863
Thu Dec 04 13:22:30 2008  elapsed time 01:13:36 (Msieve 1.39)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 32.16 hours.
Scaled time: 58.59 units (timescale=1.822).
Factorization parameters were as follows:
name: KA_3_5_163_7
n: 93712788760030341200758687850157434280544815854859669843832571475209729383133361618332274540247415803878813219411629

# Msieve 1.39 selections:

skew: 102302.32

Y0: -24003768776778299772686
Y1:  2470048358657

c0: -166645603175821687540475229795
c1:  4424225278037915341357178
c2:  33473491889923939705
c3: -767528885982384
c4: -1482191564
c5:  11760

# Ggnfs selections:

# skew: 46755.21
# norm 7.66e+15
#
# c5: 57960
# c4: -4378786561
# c3: -355222018770405
# c2: 6585478902930367520
# c1: 226574327938287993311037
# c0: 1873860926445465809121007730
#
# alpha -5.71
# Y1: 45119695357
# Y0: -17447536439140996067493
# Murphy_E 4.39e-10
# M 37118574491776789170758160355679680988337008512699570564323659979502457549970503778172089484588830310691125311224565

type: gnfs
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 1900001)
Primes: RFBsize:348513, AFBsize:348931, largePrimes:10449792 encountered
Relations: rels:9357171, finalFF:742303
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 31.83 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5000000,5000000,28,28,56,56,2.4,2.4,60000
total time: 32.16 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Serge BatalovNovember 26, 2008 22:34:24 UTC 2008 年 11 月 27 日 (木) 7 時 34 分 24 秒 (日本時間)

32×10165+139

c155

name 名前Erik Branger
date 日付February 23, 2009 20:18:06 UTC 2009 年 2 月 24 日 (火) 5 時 18 分 6 秒 (日本時間)
composite number 合成数
12291105564606894753648143531039730271512437525537283493091738158472357920721801541135677888602504092366897956430047188487377389072348162342113998368152519<155>
prime factors 素因数
18681192180063273540908440345016705640959411<44>
657940106077601764355434130314334771812300887403075420900850959415178524121749594369791636050706233899226953629<111>
factorization results 素因数分解の結果
Number: 35557_165
N=12291105564606894753648143531039730271512437525537283493091738158472357920721801541135677888602504092366897956430047188487377389072348162342113998368152519
  ( 155 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=18681192180063273540908440345016705640959411
 r2=657940106077601764355434130314334771812300887403075420900850959415178524121749594369791636050706233899226953629
Version: 
Total time: 38.75 hours.
Scaled time: 37.47 units (timescale=0.967).
Factorization parameters were as follows:
n: 12291105564606894753648143531039730271512437525537283493091738158472357920721801541135677888602504092366897956430047188487377389072348162342113998368152519
m: 2000000000000000000000000000000000
deg: 5
c5: 1
c0: 13
skew: 1.67
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 3600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 685665 x 685913
Total sieving time: 38.75 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,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 38.75 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6700 / 2336300Serge BatalovNovember 26, 2008 22:34:25 UTC 2008 年 11 月 27 日 (木) 7 時 34 分 25 秒 (日本時間)
20Erik BrangerFebruary 22, 2009 14:32:10 UTC 2009 年 2 月 22 日 (日) 23 時 32 分 10 秒 (日本時間)
180Erik BrangerFebruary 22, 2009 14:32:21 UTC 2009 年 2 月 22 日 (日) 23 時 32 分 21 秒 (日本時間)
200Erik BrangerFebruary 22, 2009 20:16:35 UTC 2009 年 2 月 23 日 (月) 5 時 16 分 35 秒 (日本時間)

32×10166+139

c143

name 名前Serge Batalov
date 日付November 25, 2008 08:47:04 UTC 2008 年 11 月 25 日 (火) 17 時 47 分 4 秒 (日本時間)
composite number 合成数
24437299073389316520549021853896767062105913191485680559462818944204039031388305964924109069841035427080396585436335142979598148771170413804229<143>
prime factors 素因数
245652995118526324744360953023587<33>
99478938010092014586431984516395488503049535368699230296313702892077298924404182342090564617201312578520899767<110>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3389241046
Step 1 took 18884ms
Step 2 took 13969ms
********** Factor found in step 2: 245652995118526324744360953023587
Found probable prime factor of 33 digits: 245652995118526324744360953023587
Probable prime cofactor 99478938010092014586431984516395488503049535368699230296313702892077298924404182342090564617201312578520899767 has 110 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10167+139

c162

name 名前Erik Branger
date 日付December 4, 2008 23:18:37 UTC 2008 年 12 月 5 日 (金) 8 時 18 分 37 秒 (日本時間)
composite number 合成数
993507737407211810571605362582201122601649036561395207753334382725880969700808249591497560783269081325128201307021522792775087545107579812046964352631910661300483<162>
prime factors 素因数
4322911474401221003739959855382863867332867253351618140261790579201053693<73>
229823752646895330304729197086763575243943550018744050858962781324833714898204771186252031<90>
factorization results 素因数分解の結果
Number: 35557_167
N=993507737407211810571605362582201122601649036561395207753334382725880969700808249591497560783269081325128201307021522792775087545107579812046964352631910661300483
  ( 162 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=4322911474401221003739959855382863867332867253351618140261790579201053693
 r2=229823752646895330304729197086763575243943550018744050858962781324833714898204771186252031
Version: 
Total time: 84.94 hours.
Scaled time: 66.94 units (timescale=0.788).
Factorization parameters were as follows:
n: 993507737407211810571605362582201122601649036561395207753334382725880969700808249591497560783269081325128201307021522792775087545107579812046964352631910661300483
m: 2000000000000000000000000000000000
deg: 5
c5: 100
c0: 13
skew: 0.66
type: snfs
lss: 1
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2250000, 4550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 883748 x 883996
Total sieving time: 84.94 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,168,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,52,52,2.4,2.4,100000
total time: 84.94 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e61400 / 2336300Serge BatalovNovember 26, 2008 22:34:26 UTC 2008 年 11 月 27 日 (木) 7 時 34 分 26 秒 (日本時間)
1100Erik BrangerNovember 30, 2008 10:36:53 UTC 2008 年 11 月 30 日 (日) 19 時 36 分 53 秒 (日本時間)

32×10168+139

c166

name 名前Serge Batalov
date 日付November 26, 2008 18:19:02 UTC 2008 年 11 月 27 日 (木) 3 時 19 分 2 秒 (日本時間)
composite number 合成数
1550612976692348694093133691912584193438968842370499588118428066094878131511363085719823617773901245336046906042544943547996317294180355671851528807481707612540582449<166>
prime factors 素因数
34830569746839257317899826291328772117731947319522284446012964814699<68>
44518737073861990630104024619714585669202122565337947057601576528643764758484259563116570090807251<98>
factorization results 素因数分解の結果
SNFS difficulty: 170 digits.
Divisors found:
 r1=34830569746839257317899826291328772117731947319522284446012964814699 (pp68)
 r2=44518737073861990630104024619714585669202122565337947057601576528643764758484259563116570090807251 (pp98)
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.949).
Factorization parameters were as follows:
n: 1550612976692348694093133691912584193438968842370499588118428066094878131511363085719823617773901245336046906042544943547996317294180355671851528807481707612540582449
m: 4000000000000000000000000000000000
deg: 5
c5: 125
c0: 52
skew: 0.84
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved rational special-q in [2400000, 5400001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 924774 x 925016
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,170,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,53,53,2.5,2.5,200000
total time: 60.00 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10169+139

c138

name 名前Jo Yeong Uk
date 日付August 23, 2009 01:48:59 UTC 2009 年 8 月 23 日 (日) 10 時 48 分 59 秒 (日本時間)
composite number 合成数
197212579888729164471309556399936640756410330307724816872021002362065422823075007141756856489734111483154757167846859583742889531474486933<138>
prime factors 素因数
2662996647046263982196858217327530760359601577131613151314289971<64>
74056638451825662200473333254579946422969866696922537212821981772723385623<74>
factorization results 素因数分解の結果
Number: 35557_169
N=197212579888729164471309556399936640756410330307724816872021002362065422823075007141756856489734111483154757167846859583742889531474486933
  ( 138 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=2662996647046263982196858217327530760359601577131613151314289971
 r2=74056638451825662200473333254579946422969866696922537212821981772723385623
Version: 
Total time: 30.05 hours.
Scaled time: 71.60 units (timescale=2.383).
Factorization parameters were as follows:
n: 197212579888729164471309556399936640756410330307724816872021002362065422823075007141756856489734111483154757167846859583742889531474486933
m: 20000000000000000000000000000000000
deg: 5
c5: 1
c0: 130
skew: 2.65
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2800000, 5100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11119594
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 850829 x 851077
Total sieving time: 27.63 hours.
Total relation processing time: 0.71 hours.
Matrix solve time: 1.48 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 30.05 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673801)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672346)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672380)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672340)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Serge BatalovNovember 26, 2008 22:34:26 UTC 2008 年 11 月 27 日 (木) 7 時 34 分 26 秒 (日本時間)
2036Jo Yeong UkJuly 27, 2009 23:15:57 UTC 2009 年 7 月 28 日 (火) 8 時 15 分 57 秒 (日本時間)

32×10170+139

c163

name 名前Serge Batalov
date 日付November 25, 2008 10:29:01 UTC 2008 年 11 月 25 日 (火) 19 時 29 分 1 秒 (日本時間)
composite number 合成数
1018542881586804099128755256877659005460526475502190745529499672183724181864828014955498122023207568945189139499677941674409335229937842742683559723634189227871323<163>
prime factors 素因数
12984208595306517726286012309466401<35>
composite cofactor 合成数の残り
78444741095347397678580999552636074583338295133502838361927571852405256534421658239002539572952571276956284929552098180737904123<128>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2815647174
Step 1 took 22088ms
Step 2 took 13643ms
********** Factor found in step 2: 12984208595306517726286012309466401
Found probable prime factor of 35 digits: 12984208595306517726286012309466401
Composite cofactor 78444741095347397678580999552636074583338295133502838361927571852405256534421658239002539572952571276956284929552098180737904123 has 128 digits
software ソフトウェア
GMP-ECM 6.2.1

c128

name 名前Serge Batalov
date 日付November 25, 2008 22:37:22 UTC 2008 年 11 月 26 日 (水) 7 時 37 分 22 秒 (日本時間)
composite number 合成数
78444741095347397678580999552636074583338295133502838361927571852405256534421658239002539572952571276956284929552098180737904123<128>
prime factors 素因数
79463930140396661143010131997<29>
987174192828764409699802414185584254672009061795451677369777853855095127393439210182651571314227959<99>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4231249235
Step 1 took 27069ms
Step 2 took 20682ms
********** Factor found in step 2: 79463930140396661143010131997
Found probable prime factor of 29 digits: 79463930140396661143010131997
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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10172+139

c158

name 名前Serge Batalov
date 日付November 28, 2008 08:29:44 UTC 2008 年 11 月 28 日 (金) 17 時 29 分 44 秒 (日本時間)
composite number 合成数
20741718324092745817932403403493671875317896729662839811155637583900644726621173514191415102199691204642649327958919643967405329532734416609470589959731024211<158>
prime factors 素因数
3223320654117369921102155773727518551111001831<46>
6434891389908080526697096790304309578136358069732443055338000019495154297132988986043062674697587170436074188981<112>
factorization results 素因数分解の結果
SNFS difficulty: 173 digits.
Divisors found:
 r1=3223320654117369921102155773727518551111001831 (pp46)
 r2=6434891389908080526697096790304309578136358069732443055338000019495154297132988986043062674697587170436074188981 (pp112)
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.729).
Factorization parameters were as follows:
n: 20741718324092745817932403403493671875317896729662839811155637583900644726621173514191415102199691204642649327958919643967405329532734416609470589959731024211
m: 20000000000000000000000000000000000
deg: 5
c5: 100
c0: 13
skew: 0.66
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2750000, 6150001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1033757 x 1033999
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,173,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 52.00 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Serge BatalovNovember 26, 2008 22:34:27 UTC 2008 年 11 月 27 日 (木) 7 時 34 分 27 秒 (日本時間)

32×10174+139

c154

name 名前Wataru Sakai
date 日付May 24, 2010 00:56:14 UTC 2010 年 5 月 24 日 (月) 9 時 56 分 14 秒 (日本時間)
composite number 合成数
2535856792147216385017729967330370934798428593248547594646187468990240269997107356243074394940647754999324100724836833217695783249974475649632394479489241<154>
prime factors 素因数
7218250131058930812761983182086627617<37>
2377625048272905542186657421759013456722906179<46>
147757464178491245681181673564825541912851222637419421638880248312859987<72>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2777718566
Step 1 took 13360ms
Step 2 took 5955ms
********** Factor found in step 2: 2377625048272905542186657421759013456722906179
Found probable prime factor of 46 digits: 2377625048272905542186657421759013456722906179
Composite cofactor 1066550335171329708976230904218762386406314560621060621358628968213858920212856492128697058874449965128460979 has 109 digits
--------------------

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=156720270
Step 1 took 9670ms
Step 2 took 4400ms
********** Factor found in step 2: 7218250131058930812761983182086627617
Found probable prime factor of 37 digits: 7218250131058930812761983182086627617
Probable prime cofactor 147757464178491245681181673564825541912851222637419421638880248312859987 has 72 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Serge BatalovNovember 26, 2008 22:34:28 UTC 2008 年 11 月 27 日 (木) 7 時 34 分 28 秒 (日本時間)

32×10176+139

c125

name 名前Serge Batalov
date 日付November 25, 2008 08:05:41 UTC 2008 年 11 月 25 日 (火) 17 時 5 分 41 秒 (日本時間)
composite number 合成数
59136066665356517510683956519269727802451907698968032868877530388347823311118073891275267014483699317409017267694797431134759<125>
prime factors 素因数
670617771284617422568164672853882771<36>
88181478626904046575951572845551494672796981698068302152918697596211551701623415862806429<89>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=447520435
Step 1 took 13533ms
********** Factor found in step 1: 670617771284617422568164672853882771
Found probable prime factor of 36 digits: 670617771284617422568164672853882771
Probable prime cofactor 88181478626904046575951572845551494672796981698068302152918697596211551701623415862806429 has 89 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10178+139

c165

name 名前Wataru Sakai
date 日付June 2, 2012 08:23:33 UTC 2012 年 6 月 2 日 (土) 17 時 23 分 33 秒 (日本時間)
composite number 合成数
413136683638125664802704110513188827865738800373527705094331776699237761455940685437231438937683305835655583245617735103630698601987661467371593345092904323283977651<165>
prime factors 素因数
409161669677487237064774513669226521582425072673<48>
1009715020382460668428323254319123278713204567394962478592323473890624936272375753837832988468181869120689535584808787<118>
factorization results 素因数分解の結果
Number: 35557_178
N=413136683638125664802704110513188827865738800373527705094331776699237761455940685437231438937683305835655583245617735103630698601987661467371593345092904323283977651
  ( 165 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=409161669677487237064774513669226521582425072673
 r2=1009715020382460668428323254319123278713204567394962478592323473890624936272375753837832988468181869120689535584808787
Version: 
Total time: 341.30 hours.
Scaled time: 608.19 units (timescale=1.782).
Factorization parameters were as follows:
n: 413136683638125664802704110513188827865738800373527705094331776699237761455940685437231438937683305835655583245617735103630698601987661467371593345092904323283977651
m: 200000000000000000000000000000000000
deg: 5
c5: 1000
c0: 13
skew: 0.42
type: snfs
lss: 1
rlim: 6900000
alim: 6900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 6900000/6900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3450000, 8550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1275372 x 1275620
Total sieving time: 341.30 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,179,5,0,0,0,0,0,0,0,0,6900000,6900000,28,28,53,53,2.5,2.5,100000
total time: 341.30 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Serge BatalovNovember 26, 2008 22:34:28 UTC 2008 年 11 月 27 日 (木) 7 時 34 分 28 秒 (日本時間)
2036Wataru SakaiMarch 21, 2012 12:47:05 UTC 2012 年 3 月 21 日 (水) 21 時 47 分 5 秒 (日本時間)

32×10179+139

c133

name 名前Robert Backstrom
date 日付April 18, 2012 20:02:46 UTC 2012 年 4 月 19 日 (木) 5 時 2 分 46 秒 (日本時間)
composite number 合成数
9355702187240068000059582511368509859762879805336691538567785408683583739478383628042472055761718991414896368682311907832881378370679<133>
prime factors 素因数
17117103262369892787457771272063767419279992087469<50>
546570412285095645450193651557536991354100388908801578378967558621657451929558519091<84>
factorization results 素因数分解の結果
Number: n
N=9355702187240068000059582511368509859762879805336691538567785408683583739478383628042472055761718991414896368682311907832881378370679
  ( 133 digits)
Divisors found:

Thu Apr 19 04:59:10 2012  prp50 factor: 17117103262369892787457771272063767419279992087469
Thu Apr 19 04:59:10 2012  prp84 factor: 546570412285095645450193651557536991354100388908801578378967558621657451929558519091
Thu Apr 19 04:59:10 2012  elapsed time 02:30:21 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.097).
Factorization parameters were as follows:
name: KA_35557_179
n: 9355702187240068000059582511368509859762879805336691538567785408683583739478383628042472055761718991414896368682311907832881378370679
skew: 204004.31
# norm 1.05e+18
c5: 161820
c4: 38283911847
c3: -12753333571817317
c2: 669135292113470330905
c1: 20355669645016892759719224
c0: -13356968069823180271141568114700
# alpha -6.06
Y1: 28782479798611
Y0: -35678683561893187422853061
# Murphy_E 5.52e-11
# M 6041271975684491556635946543913357369859705098320309770298241053587234479194909581372949074230884486746798456919453122398617077555903
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 18060000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2583900 hash collisions in 12073294 relations (9447183 unique)
Msieve: matrix is 1210679 x 1210904 (351.0 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:
gnfs,132,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.55 BogoMIPS (lpj=2830779)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830450)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830462)
Total of 4 processors activated (22644.29 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e61070300Serge BatalovNovember 26, 2008 22:34:29 UTC 2008 年 11 月 27 日 (木) 7 時 34 分 29 秒 (日本時間)
770Ignacio SantosJuly 9, 2011 20:38:57 UTC 2011 年 7 月 10 日 (日) 5 時 38 分 57 秒 (日本時間)
4511e6220 / 4028Ignacio SantosJuly 9, 2011 20:38:57 UTC 2011 年 7 月 10 日 (日) 5 時 38 分 57 秒 (日本時間)
5043e661 / 7464Ignacio SantosJuly 9, 2011 20:38:57 UTC 2011 年 7 月 10 日 (日) 5 時 38 分 57 秒 (日本時間)

32×10181+139

c176

name 名前Ignacio Santos
date 日付April 29, 2009 05:53:48 UTC 2009 年 4 月 29 日 (水) 14 時 53 分 48 秒 (日本時間)
composite number 合成数
18727436730671778320522303528559253229414786914835635432755071053358037163310680742910392316975444058249585114122365890923566366436594254106385535068325004598463565976671817297<176>
prime factors 素因数
187800281843242246319283489339418659405151754020076889041478011149<66>
99719960730962349469939681299619260059373306342828270295826680925337086911707248717062806086045272017174413653<110>
factorization results 素因数分解の結果
Number: 35557_181
N=18727436730671778320522303528559253229414786914835635432755071053358037163310680742910392316975444058249585114122365890923566366436594254106385535068325004598463565976671817297
  ( 176 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=187800281843242246319283489339418659405151754020076889041478011149 (pp66)
 r2=99719960730962349469939681299619260059373306342828270295826680925337086911707248717062806086045272017174413653 (pp110)
Version: Msieve-1.39
Total time: 137.88 hours.
Scaled time: 239.22 units (timescale=1.735).
Factorization parameters were as follows:
n: 18727436730671778320522303528559253229414786914835635432755071053358037163310680742910392316975444058249585114122365890923566366436594254106385535068325004598463565976671817297
m: 2000000000000000000000000000000000000
deg: 5
c5: 10
c0: 13
skew: 1.05
type: snfs
lss: 1
rlim: 7700000
alim: 7700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7700000/7700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3850000, 6150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1475073 x 1475319
Total sieving time: 137.88 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,182,5,0,0,0,0,0,0,0,0,7700000,7700000,28,28,53,53,2.5,2.5,100000
total time: 137.88 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Serge BatalovNovember 26, 2008 22:34:29 UTC 2008 年 11 月 27 日 (木) 7 時 34 分 29 秒 (日本時間)

32×10182+139

c150

name 名前Ignacio Santos
date 日付October 18, 2010 22:42:57 UTC 2010 年 10 月 19 日 (火) 7 時 42 分 57 秒 (日本時間)
composite number 合成数
141953732547719318177310411286290381350458668446519254060260898244814813670231273352203921418799046562031685201922103831126686745632955245153208013937<150>
prime factors 素因数
446407801133454851186438556013339<33>
composite cofactor 合成数の残り
317991155592018553970507219033414547538380938795408929928049502344253708385288838542398635812351846692252789031101283<117>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2622443159
Step 1 took 20873ms
Step 2 took 12121ms
********** Factor found in step 2: 446407801133454851186438556013339
Found probable prime factor of 33 digits: 446407801133454851186438556013339
Composite cofactor 317991155592018553970507219033414547538380938795408929928049502344253708385288838542398635812351846692252789031101283 has 117 digits
software ソフトウェア
GMP-ECM 6.3

c117

name 名前Erik Branger
date 日付October 25, 2010 20:41:54 UTC 2010 年 10 月 26 日 (火) 5 時 41 分 54 秒 (日本時間)
composite number 合成数
317991155592018553970507219033414547538380938795408929928049502344253708385288838542398635812351846692252789031101283<117>
prime factors 素因数
1405966092060962307412995670286535045674945591<46>
226172706004513332131363368311997666781452261647202258092162900092994613<72>
factorization results 素因数分解の結果
Number: 35557_182
N = 317991155592018553970507219033414547538380938795408929928049502344253708385288838542398635812351846692252789031101283 (117 digits)
Divisors found:
r1=1405966092060962307412995670286535045674945591 (pp46)
r2=226172706004513332131363368311997666781452261647202258092162900092994613 (pp72)
Version: Msieve v. 1.43
Total time: 48.77 hours.
Factorization parameters were as follows:
# Murphy_E = 5.081e-10, selected by Erik Branger
n: 317991155592018553970507219033414547538380938795408929928049502344253708385288838542398635812351846692252789031101283
Y0: -56754877721941036183317
Y1: 1308638826401
c0: 294181656802727683467385388800
c1: 13288271814022157280439936
c2: -40823010006199189152
c3: -295248658568776
c4: 286864367
c5: 540
skew: 366978.84
type: gnfs
# selected mechanically
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [2100000, 3300000)
Relations: 8472783
Relations in full relation-set: 1120512 relations
Pruned matrix : 624370 x 624595
Polynomial selection time: 0.00 hours.
Total sieving time: 46.09 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.19 hours.
time per square root: 0.27 hours.
Prototype def-par.txt line would be: gnfs,116,5,63,2000,2.6e-05,0.28,250,20,50000,3600,4200000,4200000,27,27,51,51,2.5,2.5,100000
total time: 48.77 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 20, 2010 07:14:25 UTC 2010 年 10 月 20 日 (水) 16 時 14 分 25 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 20, 2010 07:14:25 UTC 2010 年 10 月 20 日 (水) 16 時 14 分 25 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 20, 2010 07:14:25 UTC 2010 年 10 月 20 日 (水) 16 時 14 分 25 秒 (日本時間)

32×10183+139

c176

name 名前Wataru Sakai
date 日付July 25, 2010 06:17:08 UTC 2010 年 7 月 25 日 (日) 15 時 17 分 8 秒 (日本時間)
composite number 合成数
27808428096874145757133732340999657251564558867853055722734176687005742286586636600263729396582459418068093908689745418194530141112451885781668117775620764911641053023102405203<176>
prime factors 素因数
3407650828179201039089677790497991200069414444766578355269579<61>
8160586133683459731044028237051706967472983928184380281106013951801265631140276413237571460069284447886256523144857<115>
factorization results 素因数分解の結果
Number: 35557_183
N=27808428096874145757133732340999657251564558867853055722734176687005742286586636600263729396582459418068093908689745418194530141112451885781668117775620764911641053023102405203
  ( 176 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=3407650828179201039089677790497991200069414444766578355269579
 r2=8160586133683459731044028237051706967472983928184380281106013951801265631140276413237571460069284447886256523144857
Version: 
Total time: 303.29 hours.
Scaled time: 611.13 units (timescale=2.015).
Factorization parameters were as follows:
n: 27808428096874145757133732340999657251564558867853055722734176687005742286586636600263729396582459418068093908689745418194530141112451885781668117775620764911641053023102405203
m: 2000000000000000000000000000000000000
deg: 5
c5: 1000
c0: 13
skew: 0.42
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5Factor 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, 7050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1648854 x 1649102
Total sieving time: 303.29 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,184,5,0,0,0,0,0,0,0,0,8300000,8300000,28,28,54,54,2.5,2.5,100000
total time: 303.29 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Serge BatalovNovember 26, 2008 22:33:25 UTC 2008 年 11 月 27 日 (木) 7 時 33 分 25 秒 (日本時間)
2036Wataru SakaiJune 23, 2010 04:01:48 UTC 2010 年 6 月 23 日 (水) 13 時 1 分 48 秒 (日本時間)

32×10184+139

c173

name 名前Robert Backstrom
date 日付February 21, 2012 03:43:48 UTC 2012 年 2 月 21 日 (火) 12 時 43 分 48 秒 (日本時間)
composite number 合成数
14325735125424801701387816892828385610094266852780225326894232544921030874599785835458603593971144275061520659572528068944703596254259813585906641082201656795352549768872921<173>
prime factors 素因数
101432096060657058065222255498949957507453802154379961<54>
141234734189638733570295829369093427287546040620163505013367591471324169107555593461029528275246114925958624338385187361<120>
factorization results 素因数分解の結果
Number: n
N=14325735125424801701387816892828385610094266852780225326894232544921030874599785835458603593971144275061520659572528068944703596254259813585906641082201656795352549768872921
  ( 173 digits)
SNFS difficulty: 185 digits.
Divisors found:

Tue Feb 21 09:34:40 2012  prp54 factor: 101432096060657058065222255498949957507453802154379961
Tue Feb 21 09:34:40 2012  prp120 factor: 141234734189638733570295829369093427287546040620163505013367591471324169107555593461029528275246114925958624338385187361
Tue Feb 21 09:34:40 2012  elapsed time 03:52:28 (Msieve 1.44 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.635).
Factorization parameters were as follows:
name: KA_35557_184
n: 14325735125424801701387816892828385610094266852780225326894232544921030874599785835458603593971144275061520659572528068944703596254259813585906641082201656795352549768872921
m: 2000000000000000000000000000000000000
#  c173, diff: 185.51
skew: 0.26
deg: 5
c5: 10000
c0: 13
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6502988 hash collisions in 78532119 relations (74835466 unique)
Msieve: matrix is 1164683 x 1164931 (320.6 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,185,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.76 BogoMIPS (lpj=2797881)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
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.. 5595.10 BogoMIPS (lpj=2797552)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44761.52 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Serge BatalovNovember 26, 2008 22:34:30 UTC 2008 年 11 月 27 日 (木) 7 時 34 分 30 秒 (日本時間)

32×10185+139

c171

name 名前Serge Batalov
date 日付November 25, 2008 13:41:04 UTC 2008 年 11 月 25 日 (火) 22 時 41 分 4 秒 (日本時間)
composite number 合成数
562941714015311251446665325983514884098500501658310135347441143376379269209833457848090518365192615020663825723297911742918804297268766523542062570141547974048347314960061<171>
prime factors 素因数
290495865583715280417753050377727<33>
composite cofactor 合成数の残り
1937864805353253318005736959102344995714626766253850408250067765460602155724470008087217876606783341886236558661754693541740125223893701443<139>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3377039204
Step 1 took 24625ms
Step 2 took 16884ms
********** Factor found in step 2: 290495865583715280417753050377727
Found probable prime factor of 33 digits: 290495865583715280417753050377727
Composite cofactor 1937864805353253318005736959102344995714626766253850408250067765460602155724470008087217876606783341886236558661754693541740125223893701443 has 139 digits
software ソフトウェア
GMP-ECM 6.2.1

c139

name 名前Jo Yeong Uk
date 日付October 26, 2014 22:22:44 UTC 2014 年 10 月 27 日 (月) 7 時 22 分 44 秒 (日本時間)
composite number 合成数
1937864805353253318005736959102344995714626766253850408250067765460602155724470008087217876606783341886236558661754693541740125223893701443<139>
prime factors 素因数
455329871481171159028867514049883266753571779750869972753<57>
4255957991619243180292325921704045417653076440585789803244547140118508580015123731<82>
factorization results 素因数分解の結果
Number: 35557_185
N=1937864805353253318005736959102344995714626766253850408250067765460602155724470008087217876606783341886236558661754693541740125223893701443
  ( 139 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=455329871481171159028867514049883266753571779750869972753
 r2=4255957991619243180292325921704045417653076440585789803244547140118508580015123731
Version: 
Total time: 57.37 hours.
Scaled time: 301.63 units (timescale=5.258).
Factorization parameters were as follows:
n: 1937864805353253318005736959102344995714626766253850408250067765460602155724470008087217876606783341886236558661754693541740125223893701443
m: 20000000000000000000000000000000000000
deg: 5
c5: 1
c0: 13
skew: 1.67
# Murphy_E = 8.061e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 6800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19833727
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1548020 x 1548268
Total sieving time: 53.06 hours.
Total relation processing time: 1.32 hours.
Matrix solve time: 2.89 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 57.37 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 18, 2010 23:28:00 UTC 2010 年 10 月 19 日 (火) 8 時 28 分 0 秒 (日本時間)
403e61410110Ignacio SantosOctober 18, 2010 23:28:00 UTC 2010 年 10 月 19 日 (火) 8 時 28 分 0 秒 (日本時間)
1000Domanov DmitryAugust 2, 2012 14:48:35 UTC 2012 年 8 月 2 日 (木) 23 時 48 分 35 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:13 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 13 秒 (日本時間)
4511e6562 / 415332Ignacio SantosOctober 18, 2010 23:28:00 UTC 2010 年 10 月 19 日 (火) 8 時 28 分 0 秒 (日本時間)
230Ignacio SantosFebruary 2, 2014 23:20:48 UTC 2014 年 2 月 3 日 (月) 8 時 20 分 48 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:21 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 21 秒 (日本時間)

32×10186+139

c180

name 名前Wataru Sakai
date 日付June 21, 2010 00:29:45 UTC 2010 年 6 月 21 日 (月) 9 時 29 分 45 秒 (日本時間)
composite number 合成数
897981626341819568383447583255033544805200144249523501484040916196061155130451053645338171882831469642622675444773807267831129953010585828340204716800026759852464986223137826737981<180>
prime factors 素因数
2293302374288701528937133795470574499840531132369<49>
70525073308130778498014143884011440648986067685692661<53>
5552167807801528667600114917132001375955299257942469770853157116662952211029209<79>
factorization results 素因数分解の結果
Number: 35557_186
N=897981626341819568383447583255033544805200144249523501484040916196061155130451053645338171882831469642622675444773807267831129953010585828340204716800026759852464986223137826737981
  ( 180 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=2293302374288701528937133795470574499840531132369
 r2=70525073308130778498014143884011440648986067685692661
 r3=5552167807801528667600114917132001375955299257942469770853157116662952211029209
Version: 
Total time: 318.76 hours.
Scaled time: 641.04 units (timescale=2.011).
Factorization parameters were as follows:
n: 897981626341819568383447583255033544805200144249523501484040916196061155130451053645338171882831469642622675444773807267831129953010585828340204716800026759852464986223137826737981
m: 20000000000000000000000000000000000000
deg: 5
c5: 10
c0: 13
skew: 1.05
type: snfs
lss: 1
rlim: 9300000
alim: 9300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4650000, 7950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1608795 x 1609043
Total sieving time: 318.76 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,187,5,0,0,0,0,0,0,0,0,9300000,9300000,28,28,54,54,2.5,2.5,100000
total time: 318.76 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Serge BatalovNovember 26, 2008 22:34:30 UTC 2008 年 11 月 27 日 (木) 7 時 34 分 30 秒 (日本時間)

32×10189+139

c187

name 名前Serge Batalov
date 日付November 26, 2008 18:16:23 UTC 2008 年 11 月 27 日 (木) 3 時 16 分 23 秒 (日本時間)
composite number 合成数
1748920588074547740066677597420342132590042083401650543804995354429687926982565447887631852216210307700715964365743017981089796141443952560529048477892550691370169973219653495108487730229<187>
prime factors 素因数
843460198256475257121613143362568122851<39>
2073506955858448830349465499436664370903520495707406284060409753621333767261713347013056871399165319114052676049692680217196117332798366844122275079<148>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3643605157
Step 1 took 28189ms
Step 2 took 19369ms
********** Factor found in step 2: 843460198256475257121613143362568122851
Found probable prime factor of 39 digits: 843460198256475257121613143362568122851
Probable prime cofactor 2073506955858448830349465499436664370903520495707406284060409753621333767261713347013056871399165319114052676049692680217196117332798366844122275079 has 148 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10190+139

c161

name 名前Serge Batalov
date 日付November 25, 2008 10:47:37 UTC 2008 年 11 月 25 日 (火) 19 時 47 分 37 秒 (日本時間)
composite number 合成数
17499375885178098032323217760768842758914798104515858902678857005288457203542720390562801899075942883237545713704479493713967752043435490964978871457338422120761<161>
prime factors 素因数
699056118054564041970473612040807401<36>
composite cofactor 合成数の残り
25032862789153365018478740251724706852131249447149089422041868395151290097102441153373002551131680579832018686146524928049361<125>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4191816949
Step 1 took 27021ms
Step 2 took 20674ms
********** Factor found in step 2: 699056118054564041970473612040807401
Found probable prime factor of 36 digits: 699056118054564041970473612040807401
Composite cofactor 25032862789153365018478740251724706852131249447149089422041868395151290097102441153373002551131680579832018686146524928049361 has 125 digits
software ソフトウェア
GMP-ECM 6.2.1

c125

name 名前Sinkiti Sibata
date 日付January 25, 2010 11:01:10 UTC 2010 年 1 月 25 日 (月) 20 時 1 分 10 秒 (日本時間)
composite number 合成数
25032862789153365018478740251724706852131249447149089422041868395151290097102441153373002551131680579832018686146524928049361<125>
prime factors 素因数
1795349962813320861197581423566774977479668793547883124208887<61>
13943166127859977160011055787647917241700874497326684411173482103<65>
factorization results 素因数分解の結果
Number: 35557_190
N=25032862789153365018478740251724706852131249447149089422041868395151290097102441153373002551131680579832018686146524928049361
  ( 125 digits)
Divisors found:
 r1=1795349962813320861197581423566774977479668793547883124208887 (pp61)
 r2=13943166127859977160011055787647917241700874497326684411173482103 (pp65)
Version: Msieve v. 1.42
Total time: 3.49 hours.
Scaled time: 2.78 units (timescale=0.795).
Factorization parameters were as follows:
name: 35557_190
# Murphy_E = 1.604357e-10, selected by Jeff Gilchrist
n: 25032862789153365018478740251724706852131249447149089422041868395151290097102441153373002551131680579832018686146524928049361
Y0: -1083035137779722956252865
Y1: 37604900821339
c0: -16994854296384507659410836952896
c1: 335190533629780316787685986
c2: 1366293918137746938067
c3: -10057301805631826
c4: -12809279096
c5: 16800
skew: 346117.02
type: gnfs
# selected mechanically
rlim: 6900000
alim: 6900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6900000/6900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [3450000, 6450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 966917 x 967143
Total sieving time: 0.00 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 3.12 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
gnfs,124,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6900000,6900000,27,27,52,52,2.5,2.5,100000
total time: 3.49 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.24 BogoMIPS (lpj=1860624)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860570)
Total of 2 processors activated (7442.38 BogoMIPS).

Total time: 70 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e62336500Erik BrangerMarch 4, 2009 16:25:07 UTC 2009 年 3 月 5 日 (木) 1 時 25 分 7 秒 (日本時間)
1836Wataru SakaiAugust 23, 2009 04:25:26 UTC 2009 年 8 月 23 日 (日) 13 時 25 分 26 秒 (日本時間)

32×10191+139

c103

name 名前Serge Batalov
date 日付November 25, 2008 06:29:25 UTC 2008 年 11 月 25 日 (火) 15 時 29 分 25 秒 (日本時間)
composite number 合成数
4024529286469201913376896692106280214593075589341295316371632510207689852016619744870277896167834643967<103>
prime factors 素因数
29910520760937869999189622935359<32>
134552297455318840469145844020671821216847923472351025231267535414587713<72>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3521872813
Step 1 took 10297ms
Step 2 took 8073ms
********** Factor found in step 2: 29910520760937869999189622935359
Found probable prime factor of 32 digits: 29910520760937869999189622935359
Probable prime cofactor 134552297455318840469145844020671821216847923472351025231267535414587713 has 72 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10192+139

c160

name 名前Eric Jeancolas
date 日付December 18, 2020 07:25:48 UTC 2020 年 12 月 18 日 (金) 16 時 25 分 48 秒 (日本時間)
composite number 合成数
2715564648146168326241283922453464505136702277986630652343289246715553884575055226790064640625847796027628884235348812154097775571910165456329340737644663183073<160>
prime factors 素因数
11016337291514775258094510158571529329396777792873406449486463<62>
246503404560588855025592856289234440359457840830334112404373513013545399335905315474274536278093471<99>
factorization results 素因数分解の結果
2715564648146168326241283922453464505136702277986630652343289246715553884575055226790064640625847796027628884235348812154097775571910165456329340737644663183073=11016337291514775258094510158571529329396777792873406449486463*246503404560588855025592856289234440359457840830334112404373513013545399335905315474274536278093471

cado polynomial
n: 2715564648146168326241283922453464505136702277986630652343289246715553884575055226790064640625847796027628884235348812154097775571910165456329340737644663183073
skew: 0.66
type: snfs
c0: 13
c5: 100
Y0: 200000000000000000000000000000000000000
Y1: -1
# f(x) = 100*x^5+13
# g(x) = -x+200000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11800000
tasks.lim1 = 11800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 11016337291514775258094510158571529329396777792873406449486463 246503404560588855025592856289234440359457840830334112404373513013545399335905315474274536278093471
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.01/2.03399
Info:Generate Free Relations: Total cpu/real time for freerel: 102.31/26.4599
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28218539
Info:Lattice Sieving: Average J: 1894.85 for 2780457 special-q, max bucket fill -bkmult 1.0,1s:1.115910
Info:Lattice Sieving: Total time: 802127s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.19/140.901
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 139.89999999999998s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 470.38/475.49
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 415.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 400.95/472.84
Info:Filtering - Merging: Merged matrix has 2369698 rows and total weight 405912842 (171.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 333.01/132.894
Info:Filtering - Merging: Total cpu/real time for replay: 90.79/79.1229
Info:Linear Algebra: Total cpu/real time for bwc: 97456.9/24909.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 15883.64, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (74240 iterations)
Info:Linear Algebra: Lingen CPU time 473.62, WCT time 137.55
Info:Linear Algebra: Mksol: WCT time 8654.08, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (37376 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 83.21/35.8053
Info:Square Root: Total cpu/real time for sqrt: 633.66/201.062
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.5749e+06/76227.9
Info:root: Cleaning up computation data in /tmp/cado.z40y4ww_
11016337291514775258094510158571529329396777792873406449486463 246503404560588855025592856289234440359457840830334112404373513013545399335905315474274536278093471
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
6 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e62900300Serge BatalovNovember 26, 2008 22:34:30 UTC 2008 年 11 月 27 日 (木) 7 時 34 分 30 秒 (日本時間)
1000Domanov DmitryAugust 2, 2012 14:48:48 UTC 2012 年 8 月 2 日 (木) 23 時 48 分 48 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:13 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 13 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:09 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 9 秒 (日本時間)
4511e63451 / 3838iveliveAugust 30, 2020 16:31:42 UTC 2020 年 8 月 31 日 (月) 1 時 31 分 42 秒 (日本時間)

32×10194+139

c122

name 名前Ignacio Santos
date 日付April 18, 2009 13:15:18 UTC 2009 年 4 月 18 日 (土) 22 時 15 分 18 秒 (日本時間)
composite number 合成数
23268522412915237066157072508677930272386856866646539514759309590878493431200958246887248353476180538089263618054471098803<122>
prime factors 素因数
19474818079230790147783809942972607846336609<44>
1194800501768501725770690816539500998982141406904802206750689178224457211794067<79>
factorization results 素因数分解の結果
Number: 35557_194
N=23268522412915237066157072508677930272386856866646539514759309590878493431200958246887248353476180538089263618054471098803
  ( 122 digits)
Divisors found:
 r1=19474818079230790147783809942972607846336609 (pp44)
 r2=1194800501768501725770690816539500998982141406904802206750689178224457211794067 (pp79)
Version: Msieve-1.39
Total time: 50.89 hours.
Scaled time: 131.26 units (timescale=2.579).
Factorization parameters were as follows:
n: 23268522412915237066157072508677930272386856866646539514759309590878493431200958246887248353476180538089263618054471098803
Y0: -279098707443920442464360
Y1:  10054681781741
c0:  794709234251163174045516183
c1: -1662989921838592892427253
c2:  9037051214934208389
c3: -32437449469927
c4: -6193801292
c5:  13740
skew: 95344.69
type: gnfs
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2500000, 5080001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 686177 x 686425
Total sieving time: 50.89 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,121,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5000000,5000000,27,27,50,50,2.4,2.4,60000
total time: 50.89 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6500 / 2336Erik BrangerFebruary 18, 2009 16:35:42 UTC 2009 年 2 月 19 日 (木) 1 時 35 分 42 秒 (日本時間)

32×10196+139

c188

name 名前matsui
date 日付May 19, 2011 00:06:15 UTC 2011 年 5 月 19 日 (木) 9 時 6 分 15 秒 (日本時間)
composite number 合成数
37138098429735127392561163192437191879363482048834098880511795417921679214235706534687251501766139466952762514741775227656360585198122063819795107664898443694363717214817032206878392866821<188>
prime factors 素因数
3692458839493046452095757166946695360993009<43>
10057823267390565302051858298385852216117002420791651632239164774486598424021825588539077051780684572435379872787938244761803938963759354528438869<146>
factorization results 素因数分解の結果
N=37138098429735127392561163192437191879363482048834098880511795417921679214235706534687251501766139466952762514741775227656360585198122063819795107664898443694363717214817032206878392866821
  ( 188 digits)
SNFS difficulty: 197 digits.
Divisors found:
 r1=3692458839493046452095757166946695360993009 (pp43)
 r2=10057823267390565302051858298385852216117002420791651632239164774486598424021825588539077051780684572435379872787938244761803938963759354528438869 (pp146)
Version: Msieve v. 1.49
Total time:
Scaled time: 47.70 units (timescale=0.435).
Factorization parameters were as follows:
n: 37138098429735127392561163192437191879363482048834098880511795417921679214235706534687251501766139466952762514741775227656360585198122063819795107664898443694363717214817032206878392866821
m: 2000000000000000000000000000000000000000
deg: 5
c5: 10
c0: 13
skew: 1.05
type: snfs
lss: 1
rlim: 13700000
alim: 13700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 13700000/13700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6850000, 14210001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2509995 x 2510210
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,197.000,5,0,0,0,0,0,0,0,0,13700000,13700000,28,28,55,55,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Serge BatalovNovember 26, 2008 22:34:31 UTC 2008 年 11 月 27 日 (木) 7 時 34 分 31 秒 (日本時間)

32×10197+139

c167

name 名前Bob Backstrom
date 日付March 25, 2021 06:28:54 UTC 2021 年 3 月 25 日 (木) 15 時 28 分 54 秒 (日本時間)
composite number 合成数
11528661466169154381462466469126529959417176769274122503695187647615184315841018587027939213524826099694329919108559340467193404284030716228663094569677558547072627927<167>
prime factors 素因数
50792291145661069220104202625664115891719639079<47>
226976598340632053380381527693339093405739643940518484083984974171830146072615663592613854287623165625446211340324828113<120>
factorization results 素因数分解の結果
Number: n
N=11528661466169154381462466469126529959417176769274122503695187647615184315841018587027939213524826099694329919108559340467193404284030716228663094569677558547072627927  ( 167 digits)
SNFS difficulty: 198 digits.
Divisors found:

Thu Mar 25 17:21:47 2021  p47 factor: 50792291145661069220104202625664115891719639079
Thu Mar 25 17:21:47 2021  p120 factor: 226976598340632053380381527693339093405739643940518484083984974171830146072615663592613854287623165625446211340324828113
Thu Mar 25 17:21:47 2021  elapsed time 01:16:50 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 32x10^197+13 = 35(196)7
#
n: 11528661466169154381462466469126529959417176769274122503695187647615184315841018587027939213524826099694329919108559340467193404284030716228663094569677558547072627927
m: 2000000000000000000000000000000000000000
deg: 5
c5: 100
c0: 13
skew: 0.66
# Murphy_E = 1.871e-11
type: snfs
lss: 1
rlim: 14200000
alim: 14200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14200000/14200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4156082 hash collisions in 30184133 relations (27601786 unique)
Msieve: matrix is 1756799 x 1757024 (613.0 MB)

Sieving start time : 2021/03/25 09:31:16
Sieving end time  : 2021/03/25 16:04:25

Total sieving time: 6hrs 33min 9secs.

Total relation processing time: 1hrs 1min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 35sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14200000,14200000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119391] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.47 BogoMIPS (lpj=12798944)
[    0.152034] smpboot: Total of 16 processors activated (102391.55 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e62900300Serge BatalovNovember 26, 2008 22:34:31 UTC 2008 年 11 月 27 日 (木) 7 時 34 分 31 秒 (日本時間)
1000Domanov DmitryAugust 2, 2012 14:49:00 UTC 2012 年 8 月 2 日 (木) 23 時 49 分 0 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:14 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 14 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:10 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 10 秒 (日本時間)

32×10198+139

c172

name 名前Domanov Dmitry
date 日付August 3, 2012 07:38:16 UTC 2012 年 8 月 3 日 (金) 16 時 38 分 16 秒 (日本時間)
composite number 合成数
1366634202239448287272026074186522527254339056653995158678062734807335503048752269174839435322511502599817652431077817407622239754258643336107981701980299821405278244114703<172>
prime factors 素因数
31098006571964489036498370319788974837<38>
composite cofactor 合成数の残り
43946038762224005020078192232409117323385260498379099822867183526412005828299936477591825601293073669178600824348883796285615941634419<134>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1423644086
Step 1 took 19499ms
Step 2 took 4070ms
********** Factor found in step 2: 31098006571964489036498370319788974837
Found probable prime factor of 38 digits: 31098006571964489036498370319788974837

c134

name 名前Erik Branger
date 日付August 29, 2012 11:41:17 UTC 2012 年 8 月 29 日 (水) 20 時 41 分 17 秒 (日本時間)
composite number 合成数
43946038762224005020078192232409117323385260498379099822867183526412005828299936477591825601293073669178600824348883796285615941634419<134>
prime factors 素因数
31356359725168394312272283780331184238076593<44>
1401503208516593832740660755434681713432558012472463613522671343039193542300002943002480483<91>
factorization results 素因数分解の結果
Number: 35557_198
N = 43946038762224005020078192232409117323385260498379099822867183526412005828299936477591825601293073669178600824348883796285615941634419 (134 digits)
Divisors found:
r1=31356359725168394312272283780331184238076593 (pp44)
r2=1401503208516593832740660755434681713432558012472463613522671343039193542300002943002480483 (pp91)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 158.00 hours.
Factorization parameters were as follows:
# Murphy_E = 5.226e-11, selected by suberi
n: 43946038762224005020078192232409117323385260498379099822867183526412005828299936477591825601293073669178600824348883796285615941634419
Y0: -159931678141828511435325518
Y1: 65607872070229
c0: -4116990747669991655891394605848875
c1: 38474662813250536541335275255
c2: 25317332433245354351552
c3: -7289349199471975
c4: -4779179257
c5: 420
skew: 2722065.75
type: gnfs
# selected mechanically
rlim: 13000000
alim: 13000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [6500000, 13700000)
Relations: 20436523
Relations in full relation-set: 3097460 relations
Pruned matrix : 1848532 x 1848766
Polynomial selection time: 0.00 hours.
Total sieving time: 154.62 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 3.15 hours.
time per square root: 0.13 hours.
Prototype def-par.txt line would be: gnfs,133,5,65,2000,1e-05,0.28,250,20,50000,3600,13000000,13000000,28,28,54,54,2.6,2.6,100000
total time: 158.00 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Serge BatalovNovember 26, 2008 22:34:32 UTC 2008 年 11 月 27 日 (木) 7 時 34 分 32 秒 (日本時間)
1000Domanov DmitryAugust 2, 2012 14:49:21 UTC 2012 年 8 月 2 日 (木) 23 時 49 分 21 秒 (日本時間)
4511e6300 / 4188Dmitry DomanovAugust 17, 2012 09:30:20 UTC 2012 年 8 月 17 日 (金) 18 時 30 分 20 秒 (日本時間)
5043e61 / 7437Dmitry DomanovAugust 17, 2012 09:30:20 UTC 2012 年 8 月 17 日 (金) 18 時 30 分 20 秒 (日本時間)

32×10199+139

c185

name 名前Robert Backstrom
date 日付September 18, 2012 01:36:12 UTC 2012 年 9 月 18 日 (火) 10 時 36 分 12 秒 (日本時間)
composite number 合成数
59856775670310624150519143507799685028281875390778445887443295634234774849126082366081308051664760245737922846768137571992983624837935487370120548902622793987098629299982910441260438631<185>
prime factors 素因数
46691096189301798353581801836283441610803966633<47>
1281974092611375474597652223464537069923374185628128847604696594548718060859420046165112878196667668850670180763269621782693436639797643407<139>
factorization results 素因数分解の結果
Number: n
N=59856775670310624150519143507799685028281875390778445887443295634234774849126082366081308051664760245737922846768137571992983624837935487370120548902622793987098629299982910441260438631
  ( 185 digits)
SNFS difficulty: 201 digits.
Divisors found:

Tue Sep 18 10:56:20 2012  prp47 factor: 46691096189301798353581801836283441610803966633
Tue Sep 18 10:56:20 2012  prp139 factor: 1281974092611375474597652223464537069923374185628128847604696594548718060859420046165112878196667668850670180763269621782693436639797643407
Tue Sep 18 10:56:20 2012  elapsed time 04:37:54 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.090).
Factorization parameters were as follows:
name: KA_35557_199
n: 59856775670310624150519143507799685028281875390778445887443295634234774849126082366081308051664760245737922846768137571992983624837935487370120548902622793987098629299982910441260438631
m: 10000000000000000000000000000000000000000
#  c185, diff: 201.2
skew: 1.324
deg: 5
c5: 16
c0: 65
# Murphy_E = 1.646e-11
type: snfs
lss: 1
rlim: 15800000
alim: 15800000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 15800000/15800000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 19300000)
Primes: RFBsize:1019012, AFBsize:1019967,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8629340 hash collisions in 67999746 relations (61016809 unique)
Msieve: matrix is 1719136 x 1719365 (486.0 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,201,5,0,0,0,0,0,0,0,0,15800000,15800000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830713)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830455)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.15 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e61300 / 2336300Serge BatalovNovember 26, 2008 22:34:32 UTC 2008 年 11 月 27 日 (木) 7 時 34 分 32 秒 (日本時間)
1000Domanov DmitryAugust 2, 2012 14:49:40 UTC 2012 年 8 月 2 日 (木) 23 時 49 分 40 秒 (日本時間)

32×10201+139

c200

name 名前Serge Batalov
date 日付November 26, 2008 18:15:22 UTC 2008 年 11 月 27 日 (木) 3 時 15 分 22 秒 (日本時間)
composite number 合成数
50078247261345852895148669796557120500782472613458528951486697965571205007824726134585289514866979655712050078247261345852895148669796557120500782472613458528951486697965571205007824726134585289514867<200>
prime factors 素因数
64499300335345945772569335465848633<35>
776415356460893542572148430011329803890783961378327293176367619348587721447168535503721077213200924311601722917814388070780548658836862919766647808745906924624959499<165>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2420471301
Step 1 took 35354ms
Step 2 took 21406ms
********** Factor found in step 2: 64499300335345945772569335465848633
Found probable prime factor of 35 digits: 64499300335345945772569335465848633
Probable prime cofactor 776415356460893542572148430011329803890783961378327293176367619348587721447168535503721077213200924311601722917814388070780548658836862919766647808745906924624959499 has 165 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10203+139

c198

name 名前Robert Backstrom
date 日付May 1, 2010 15:34:26 UTC 2010 年 5 月 2 日 (日) 0 時 34 分 26 秒 (日本時間)
composite number 合成数
418907329975005632339960054567916070869171182684046608153167181595411184380621294551939992572249405380681381572083282442638168401008467033498579184154411336365436951108670975914006703302730843793253<198>
prime factors 素因数
1401869067619619313927585702244045756086310377612979<52>
298820581501461026704131253770093190820544766267321986737862464854500390973795749221887512851019869829418499867646928953697097271817750116760585607<147>
factorization results 素因数分解の結果
Number: n
N=418907329975005632339960054567916070869171182684046608153167181595411184380621294551939992572249405380681381572083282442638168401008467033498579184154411336365436951108670975914006703302730843793253
  ( 198 digits)
SNFS difficulty: 205 digits.
Divisors found:

Sun May  2 01:07:55 2010  prp52 factor: 1401869067619619313927585702244045756086310377612979
Sun May  2 01:07:55 2010  prp147 factor: 298820581501461026704131253770093190820544766267321986737862464854500390973795749221887512851019869829418499867646928953697097271817750116760585607
Sun May  2 01:07:55 2010  elapsed time 07:22:38 (Msieve 1.42 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.072).
Factorization parameters were as follows:
name: KA_3_5_202_7
n: 418907329975005632339960054567916070869171182684046608153167181595411184380621294551939992572249405380681381572083282442638168401008467033498579184154411336365436951108670975914006703302730843793253
m: 100000000000000000000000000000000000000000
deg: 5
c5: 8
c0: 325
skew: 3.10
type: snfs
lss: 1
rlim: 17000000
alim: 17000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 17000000/17000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 37000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7597899 hash collisions in 41457788 relations
Msieve: matrix is 2287298 x 2287523 (642.9 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,205,5,0,0,0,0,0,0,0,0,17000000,17000000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6060216k/7077888k available (3972k kernel code, 787972k absent, 229700k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.79 BogoMIPS (lpj=2798398)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44762.55 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Serge BatalovNovember 26, 2008 22:34:33 UTC 2008 年 11 月 27 日 (木) 7 時 34 分 33 秒 (日本時間)
2036Wataru SakaiMarch 26, 2010 10:44:23 UTC 2010 年 3 月 26 日 (金) 19 時 44 分 23 秒 (日本時間)

32×10204+139

c198

name 名前RSALS + Lionel Debroux + Jeff Gilchrist
date 日付January 11, 2010 06:09:49 UTC 2010 年 1 月 11 日 (月) 15 時 9 分 49 秒 (日本時間)
composite number 合成数
280864500581709877275115458788255928261870125920244856267284631762459059281394307576979057066426639864469537405547352995586223150374072457055225412500645220362469154604787091411380364497698460238491<198>
prime factors 素因数
648689445026641096328796227319722050994527611558724094037576117274274000955011<78>
432972206862676828361829439719264273114887762602354096762830002026827264979521188656908530133203523286172816410002716681<120>
factorization results 素因数分解の結果
Sun Jan 10 06:33:22 2010  Msieve v. 1.43
Sun Jan 10 06:33:22 2010  random seeds: dc8ed5ca c1538ec7
Sun Jan 10 06:33:22 2010  factoring
280864500581709877275115458788255928261870125920244856267284631762459059281394307576979057066426639864469537405547352995586223150374072457055225412500645220362469154604787091411380364497698460238491
(198 digits)
Sun Jan 10 06:33:24 2010  no P-1/P+1/ECM available, skipping
Sun Jan 10 06:33:24 2010  commencing number field sieve (198-digit input)
Sun Jan 10 06:33:24 2010  R0: -20000000000000000000000000000000000000000
Sun Jan 10 06:33:24 2010  R1:  1
Sun Jan 10 06:33:24 2010  A0:  13
Sun Jan 10 06:33:24 2010  A1:  0
Sun Jan 10 06:33:24 2010  A2:  0
Sun Jan 10 06:33:24 2010  A3:  0
Sun Jan 10 06:33:24 2010  A4:  0
Sun Jan 10 06:33:24 2010  A5:  10000
Sun Jan 10 06:33:24 2010  skew 0.26, size 2.666433e-14, alpha
-0.645563, combined = 8.903075e-12
Sun Jan 10 06:33:24 2010
Sun Jan 10 06:33:24 2010  commencing linear algebra
Sun Jan 10 06:33:25 2010  read 2444018 cycles
Sun Jan 10 06:33:31 2010  cycles contain 6548032 unique relations
Sun Jan 10 06:34:48 2010  read 6548032 relations
Sun Jan 10 06:35:01 2010  using 20 quadratic characters above 536850638
Sun Jan 10 06:35:47 2010  building initial matrix
Sun Jan 10 06:37:59 2010  memory use: 835.7 MB
Sun Jan 10 06:38:02 2010  read 2444018 cycles
Sun Jan 10 06:38:05 2010  matrix is 2443732 x 2444018 (721.6 MB) with
weight 212310010 (86.87/col)
Sun Jan 10 06:38:05 2010  sparse part has weight 162277070 (66.40/col)
Sun Jan 10 06:39:14 2010  filtering completed in 3 passes
Sun Jan 10 06:39:15 2010  matrix is 2440132 x 2440332 (721.1 MB) with
weight 212137513 (86.93/col)
Sun Jan 10 06:39:15 2010  sparse part has weight 162177310 (66.46/col)
Sun Jan 10 06:39:37 2010  read 2440332 cycles
Sun Jan 10 06:39:40 2010  matrix is 2440132 x 2440332 (721.1 MB) with
weight 212137513 (86.93/col)
Sun Jan 10 06:39:40 2010  sparse part has weight 162177310 (66.46/col)
Sun Jan 10 06:39:41 2010  saving the first 48 matrix rows for later
Sun Jan 10 06:39:43 2010  matrix is 2440084 x 2440332 (685.8 MB) with
weight 169460472 (69.44/col)
Sun Jan 10 06:39:43 2010  sparse part has weight 155374026 (63.67/col)
Sun Jan 10 06:39:43 2010  matrix includes 64 packed rows
Sun Jan 10 06:39:43 2010  using block size 65536 for processor cache
size 6144 kB
Sun Jan 10 06:39:57 2010  commencing Lanczos iteration (5 threads)
Sun Jan 10 06:39:57 2010  memory use: 756.6 MB
Sun Jan 10 06:40:09 2010  linear algebra at 0.0%, ETA 9h43m
Sun Jan 10 16:27:42 2010  lanczos halted after 38589 iterations (dim = 2440080)
Sun Jan 10 16:27:49 2010  recovered 36 nontrivial dependencies
Sun Jan 10 16:27:49 2010  BLanczosTime: 35665
Sun Jan 10 16:27:49 2010  elapsed time 09:54:27
Sun Jan 10 20:15:31 2010
Sun Jan 10 20:15:31 2010
Sun Jan 10 20:15:31 2010  Msieve v. 1.43
Sun Jan 10 20:15:32 2010  random seeds: 0b7aab86 5092e1e5
Sun Jan 10 20:15:32 2010  factoring
280864500581709877275115458788255928261870125920244856267284631762459059281394307576979057066426639864469537405547352995586223150374072457055225412500645220362469154604787091411380364497698460238491
(198 digits)
Sun Jan 10 20:15:34 2010  no P-1/P+1/ECM available, skipping
Sun Jan 10 20:15:34 2010  commencing number field sieve (198-digit input)
Sun Jan 10 20:15:34 2010  R0: -20000000000000000000000000000000000000000
Sun Jan 10 20:15:34 2010  R1:  1
Sun Jan 10 20:15:34 2010  A0:  13
Sun Jan 10 20:15:34 2010  A1:  0
Sun Jan 10 20:15:34 2010  A2:  0
Sun Jan 10 20:15:34 2010  A3:  0
Sun Jan 10 20:15:34 2010  A4:  0
Sun Jan 10 20:15:34 2010  A5:  10000
Sun Jan 10 20:15:34 2010  skew 0.26, size 2.666433e-14, alpha
-0.645563, combined = 8.903075e-12
Sun Jan 10 20:15:34 2010
Sun Jan 10 20:15:34 2010  commencing square root phase
Sun Jan 10 20:15:34 2010  reading relations for dependency 1
Sun Jan 10 20:15:35 2010  read 1220126 cycles
Sun Jan 10 20:15:38 2010  cycles contain 3272956 unique relations
Sun Jan 10 20:16:23 2010  read 3272956 relations
Sun Jan 10 20:16:49 2010  multiplying 3272956 relations
Sun Jan 10 20:20:50 2010  multiply complete, coefficients have about
118.59 million bits
Sun Jan 10 20:20:51 2010  initial square root is modulo 325131641
Sun Jan 10 20:28:56 2010  reading relations for dependency 2
Sun Jan 10 20:28:57 2010  read 1221211 cycles
Sun Jan 10 20:29:00 2010  cycles contain 3275152 unique relations
Sun Jan 10 20:29:45 2010  read 3275152 relations
Sun Jan 10 20:30:10 2010  multiplying 3275152 relations
Sun Jan 10 20:34:03 2010  multiply complete, coefficients have about
118.67 million bits
Sun Jan 10 20:34:04 2010  initial square root is modulo 329565461
Sun Jan 10 20:42:07 2010  reading relations for dependency 3
Sun Jan 10 20:42:08 2010  read 1221449 cycles
Sun Jan 10 20:42:10 2010  cycles contain 3277434 unique relations
Sun Jan 10 20:42:56 2010  read 3277434 relations
Sun Jan 10 20:43:20 2010  multiplying 3277434 relations
Sun Jan 10 20:47:14 2010  multiply complete, coefficients have about
118.75 million bits
Sun Jan 10 20:47:15 2010  initial square root is modulo 333978731
Sun Jan 10 20:55:20 2010  sqrtTime: 2386
Sun Jan 10 20:55:20 2010  prp78 factor:
648689445026641096328796227319722050994527611558724094037576117274274000955011
Sun Jan 10 20:55:20 2010  prp120 factor:
432972206862676828361829439719264273114887762602354096762830002026827264979521188656908530133203523286172816410002716681
Sun Jan 10 20:55:20 2010  elapsed time 00:39:48
software ソフトウェア
ggnfs-lasieve4I14e on the RSALS grid + msieve (Lionel Debroux + Jeff Gilchrist)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6300Serge BatalovNovember 26, 2008 22:34:33 UTC 2008 年 11 月 27 日 (木) 7 時 34 分 33 秒 (日本時間)
4511e60 / 2658--
5043e6500 / 7542200Lionel DebrouxDecember 23, 2009 07:04:17 UTC 2009 年 12 月 23 日 (水) 16 時 4 分 17 秒 (日本時間)
100Lionel DebrouxDecember 23, 2009 17:38:47 UTC 2009 年 12 月 24 日 (木) 2 時 38 分 47 秒 (日本時間)
100Lionel DebrouxDecember 24, 2009 19:09:30 UTC 2009 年 12 月 25 日 (金) 4 時 9 分 30 秒 (日本時間)
100Lionel DebrouxDecember 25, 2009 06:50:52 UTC 2009 年 12 月 25 日 (金) 15 時 50 分 52 秒 (日本時間)

32×10205+139

c177

name 名前Serge Batalov
date 日付November 25, 2008 08:43:08 UTC 2008 年 11 月 25 日 (火) 17 時 43 分 8 秒 (日本時間)
composite number 合成数
838694426748461910443933566981231116352892773213360909627095287222849549295256916961732953151454524882855029899303860858735324984827786539293741637375027514489229133157237101537<177>
prime factors 素因数
795593320256493401773149644687597<33>
composite cofactor 合成数の残り
1054174796839763600251173148992151267392532166265351897868569865399104713716754192260199669134941216435023948497548183846373245867966030763646021<145>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3026039895
Step 1 took 31370ms
Step 2 took 23237ms
********** Factor found in step 2: 795593320256493401773149644687597
Found probable prime factor of 33 digits: 795593320256493401773149644687597
Composite cofactor 1054174796839763600251173148992151267392532166265351897868569865399104713716754192260199669134941216435023948497548183846373245867966030763646021 has 145 digits
software ソフトウェア
GMP-ECM 6.2.1

c145

name 名前Wataru Sakai
date 日付June 15, 2009 00:49:42 UTC 2009 年 6 月 15 日 (月) 9 時 49 分 42 秒 (日本時間)
composite number 合成数
1054174796839763600251173148992151267392532166265351897868569865399104713716754192260199669134941216435023948497548183846373245867966030763646021<145>
prime factors 素因数
523543438969426161642554706724547076253559125346249<51>
2013538358755604989175086781461802433222124306874954367100349986369529759283778641199459395229<94>
factorization results 素因数分解の結果
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=3446144840
Step 1 took 1563441ms
Step 2 took 378657ms
********** Factor found in step 2: 523543438969426161642554706724547076253559125346249
Found probable prime factor of 51 digits: 523543438969426161642554706724547076253559125346249
Probable prime cofactor 2013538358755604989175086781461802433222124306874954367100349986369529759283778641199459395229 has 94 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6190Serge BatalovNovember 26, 2008 07:59:52 UTC 2008 年 11 月 26 日 (水) 16 時 59 分 52 秒 (日本時間)
4511e650070Serge BatalovJanuary 4, 2009 04:04:45 UTC 2009 年 1 月 4 日 (日) 13 時 4 分 45 秒 (日本時間)
430Serge BatalovJanuary 4, 2009 12:22:36 UTC 2009 年 1 月 4 日 (日) 21 時 22 分 36 秒 (日本時間)
5043e62877 / 7434300Serge BatalovJanuary 5, 2009 04:41:24 UTC 2009 年 1 月 5 日 (月) 13 時 41 分 24 秒 (日本時間)
200Serge BatalovJanuary 5, 2009 22:07:25 UTC 2009 年 1 月 6 日 (火) 7 時 7 分 25 秒 (日本時間)
2377Wataru SakaiMay 30, 2009 06:32:27 UTC 2009 年 5 月 30 日 (土) 15 時 32 分 27 秒 (日本時間)

32×10206+139

c188

name 名前Bob Backstrom
date 日付August 23, 2021 03:05:48 UTC 2021 年 8 月 23 日 (月) 12 時 5 分 48 秒 (日本時間)
composite number 合成数
87699816785655391993755351841246559725839796678262288629377111461931639376137671467894605040129454127131778559863779789313934445663029837545870695865051968624398954910614511376658043555267<188>
prime factors 素因数
8957519447425888512272215093196017332478730368970785530032011248696624374088125575057<85>
9790636492657303899202963654183867417124118481565502839536836555956311722630683604127797724995497600531<103>
factorization results 素因数分解の結果
Number: n
N=87699816785655391993755351841246559725839796678262288629377111461931639376137671467894605040129454127131778559863779789313934445663029837545870695865051968624398954910614511376658043555267  ( 188 digits)
SNFS difficulty: 207 digits.
Divisors found:

Mon Aug 23 12:51:13 2021  p85 factor: 8957519447425888512272215093196017332478730368970785530032011248696624374088125575057
Mon Aug 23 12:51:13 2021  p103 factor: 9790636492657303899202963654183867417124118481565502839536836555956311722630683604127797724995497600531
Mon Aug 23 12:51:13 2021  elapsed time 02:17:37 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 32x10^206+13 = 35(205)7
#
n: 87699816785655391993755351841246559725839796678262288629377111461931639376137671467894605040129454127131778559863779789313934445663029837545870695865051968624398954910614511376658043555267
m: 200000000000000000000000000000000000000000
deg: 5
c5: 10
c0: 13
skew: 1.05
# Murphy_E = 8.331e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 44400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10451908 hash collisions in 66609720 relations (58595851 unique)
Msieve: matrix is 2452127 x 2452354 (844.1 MB)

Sieving start time : 2021/08/22 18:59:41
Sieving end time  : 2021/08/23 10:32:10

Total sieving time: 15hrs 32min 29secs.

Total relation processing time: 1hrs 57min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 41sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116939] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239968K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved)
[    0.154077] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.20 BogoMIPS (lpj=12798404)
[    0.152034] smpboot: Total of 16 processors activated (102387.23 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 1, 2012 01:00:00 UTC 2012 年 8 月 1 日 (水) 10 時 0 分 0 秒 (日本時間)
403e626001000Domanov DmitryAugust 2, 2012 14:50:20 UTC 2012 年 8 月 2 日 (木) 23 時 50 分 20 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:14 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 14 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:10 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 10 秒 (日本時間)

32×10207+139

c161

composite cofactor 合成数の残り
21035795283410098323480860333767712296668627918285281464258730659992609932615862539949355597113664464286449401863897097219598569377595332256107294450311560243321<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 1, 2012 01:00:00 UTC 2012 年 8 月 1 日 (水) 10 時 0 分 0 秒 (日本時間)
403e626001000Domanov DmitryAugust 2, 2012 14:50:37 UTC 2012 年 8 月 2 日 (木) 23 時 50 分 37 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:15 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 15 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:11 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 11 秒 (日本時間)
4511e64000ebinaOctober 15, 2021 21:02:57 UTC 2021 年 10 月 16 日 (土) 6 時 2 分 57 秒 (日本時間)

32×10210+139

c192

composite cofactor 合成数の残り
120838734645965528183489354634613526838503168592270081768229875102553132832295010971797306590511830850378083975209534307396406428176675968892931650298475526673578319017309795052341308888553803<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 1, 2012 01:00:00 UTC 2012 年 8 月 1 日 (水) 10 時 0 分 0 秒 (日本時間)
403e626001000Domanov DmitryAugust 2, 2012 14:50:52 UTC 2012 年 8 月 2 日 (木) 23 時 50 分 52 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:15 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 15 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:11 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 11 秒 (日本時間)

32×10211+139

c162

name 名前Serge Batalov
date 日付May 19, 2014 06:10:05 UTC 2014 年 5 月 19 日 (月) 15 時 10 分 5 秒 (日本時間)
composite number 合成数
458713483660533813404346633910296390734137558559265107184524653824174102791748496646759492656734915770353187668434410942090883718939471518857397936792991374144799<162>
prime factors 素因数
13428754501241859741620799542996106194999<41>
34159049047930175920609156047741258358029367673032796132774182103691906046095531370597850879740998399873764071130721050201<122>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2660805137
Step 1 took 40160ms
Step 2 took 6928ms
********** Factor found in step 2: 13428754501241859741620799542996106194999
Found probable prime factor of 41 digits: 13428754501241859741620799542996106194999
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 1, 2012 01:00:00 UTC 2012 年 8 月 1 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61300 / 23181000Domanov DmitryAugust 2, 2012 14:51:05 UTC 2012 年 8 月 2 日 (木) 23 時 51 分 5 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:16 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 16 秒 (日本時間)

32×10212+139

c195

name 名前Serge Batalov
date 日付August 1, 2012 08:01:11 UTC 2012 年 8 月 1 日 (水) 17 時 1 分 11 秒 (日本時間)
composite number 合成数
235445824148715623356800565995790826935099974492584507291914543532479936038022391656089106009810185146695196972871353122542486162567695969223738644565377846131772694116179898639783670323577202543<195>
prime factors 素因数
3512170357723339285403332676560494731<37>
67037130938413940086767431847859192696257244185427497665156465340034389272094988556521185075431068174799524340933134201695142162681793945868110793693745687853<158>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=4101928806
Step 1 took 11213ms
Step 2 took 6756ms
********** Factor found in step 2: 3512170357723339285403332676560494731
Found probable prime factor of 37 digits: 3512170357723339285403332676560494731
Probable prime cofactor 67037130938413940086767431847859192696257244185427497665156465340034389272094988556521185075431068174799524340933134201695142162681793945868110793693745687853 has 158 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 1, 2012 01:00:00 UTC 2012 年 8 月 1 日 (水) 10 時 0 分 0 秒 (日本時間)

32×10213+139

c122

name 名前Warut Roonguthai
date 日付August 1, 2012 14:36:26 UTC 2012 年 8 月 1 日 (水) 23 時 36 分 26 秒 (日本時間)
composite number 合成数
36381804052122625400649620843166024555489369960932203076225314390627500189270032309524719994976420632399750052155251774313<122>
prime factors 素因数
536181075216244678355311148618921889838993<42>
67853577333831952936492395174366042961925157085721890463227069593365915781489241<80>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1199922050
Step 1 took 13448ms
Step 2 took 8517ms
********** Factor found in step 2: 536181075216244678355311148618921889838993
Found probable prime factor of 42 digits: 536181075216244678355311148618921889838993
Probable prime cofactor 67853577333831952936492395174366042961925157085721890463227069593365915781489241 has 80 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 1, 2012 01:00:00 UTC 2012 年 8 月 1 日 (水) 10 時 0 分 0 秒 (日本時間)

32×10214+139

c173

composite cofactor 合成数の残り
43945744697799890706523427590257447236602804294650728464658462478957009638379532247649207645154370622644982942020638673264006604484582844219211102086475591395827033155417797<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 1, 2012 01:00:00 UTC 2012 年 8 月 1 日 (水) 10 時 0 分 0 秒 (日本時間)
403e626001000Domanov DmitryAugust 2, 2012 15:44:36 UTC 2012 年 8 月 3 日 (金) 0 時 44 分 36 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:17 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 17 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:11 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 11 秒 (日本時間)

32×10215+139

c171

composite cofactor 合成数の残り
719433035752147715378735787409684851788024416038018410574524505353154702904359219480841314321415968223530314325264885247845715961850554001019563502991726429238678752396111<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 1, 2012 01:00:00 UTC 2012 年 8 月 1 日 (水) 10 時 0 分 0 秒 (日本時間)
403e626001000Domanov DmitryAugust 2, 2012 15:45:27 UTC 2012 年 8 月 3 日 (金) 0 時 45 分 27 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:17 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 17 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:12 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 12 秒 (日本時間)

32×10217+139

c131

name 名前Pawel Apostol
date 日付August 31, 2012 18:56:30 UTC 2012 年 9 月 1 日 (土) 3 時 56 分 30 秒 (日本時間)
composite number 合成数
36173558476749995806740207760540221701606346820955293540462187692883385446702732804133808027100515682569715813117635369747107659509<131>
prime factors 素因数
2922846664505012680842447305370769845440676976644074645671139<61>
12376139643601874678036252497273061701923033042722180553763231205237831<71>
factorization results 素因数分解の結果
[08/28 19:21:49] GGNFS-0.77.1-VC8(UTE) : makefb
[08/28 19:21:58] name: n131
[08/28 19:21:58] n=36173558476749995806740207760540221701606346820955293540462187692883385446702732804133808027100515682569715813117635369747107659509 (131 digits)
[08/28 19:21:58] c0: 18614044161166132095153465167763
[08/28 19:21:58] c1: 99565148876643015777662750
[08/28 19:21:58] c2: -4182383191486628193200
[08/28 19:21:58] c3: 2812759648982705
[08/28 19:21:58] c4: 109196033862
[08/28 19:21:58] c5: 86400
[08/28 19:21:58] RFBsize: 508261 (upto 7499981)
[08/28 19:21:58] AFBsize: 508087 (upto 7499969)
[08/28 19:21:58] maxNumLargeRatPrimes: 3
[08/28 19:21:58] maxLargeRatPrime: 268435456
[08/28 19:21:58] maxNumLargeAlgPrimes: 3
[08/28 19:21:58] maxLargeAlgPrime: 268435456
->               minimum number of FF's: 1138381
-> makeJobFile(): Adjusted to q0=3750000, q1=3751000.
->               client 1 q0: 3750000
-> makeJobFile(): Adjusted to q0=3750833, q1=3751000.
->               minimum number of FF's: 1138381
-> makeJobFile(): Adjusted to q0=3750833, q1=3751000.
->               client 1 q0: 3750833
 LatSieveTime: 16
[08/28 19:26:07] GGNFS-0.77.1-VC8(UTE) : procrels
[08/28 19:26:09] DISC_P_DIV=1389939731
[08/28 19:44:53] GGNFS-0.77.1-VC8(UTE) : procrels
[08/28 19:52:09] There were 131365/4402851 duplicates.
[08/28 19:52:09] RelProcTime: 390.7
[08/28 19:52:19] largePrimes: 8094548 , relations: 4271483
[08/28 19:54:37] GGNFS-0.77.1-VC8(UTE) : matbuild
[08/28 19:54:58] largePrimes: 8094548 , relations: 4271483
[08/28 19:55:01] Heap stats for matbuild run.
[08/28 19:55:01] Max heap usage: 0 MB
[08/28 19:55:01] malloc/realloc errors: 0 
[08/28 19:55:01] total malloc's : 85 
[08/28 19:55:01] total realloc's: 69 
[08/28 19:55:01] rels:4271483, initialFF:0, finalFF:64933
[08/28 19:55:36] GGNFS-0.77.1-VC8(UTE) : procrels
[08/28 20:03:10] There were 330582/4393464 duplicates.
[08/28 20:03:10] RelProcTime: 426.5
[08/28 20:03:41] largePrimes: 12728410 , relations: 8334364
[08/28 20:04:07] GGNFS-0.77.1-VC8(UTE) : matbuild
[08/28 20:05:19] largePrimes: 12728410 , relations: 8334364
[08/28 20:05:26] Heap stats for matbuild run.
[08/28 20:05:26] Max heap usage: 0 MB
[08/28 20:05:26] malloc/realloc errors: 0 
[08/28 20:05:26] total malloc's : 167 
[08/28 20:05:26] total realloc's: 128 
[08/28 20:05:26] rels:8334364, initialFF:0, finalFF:135819
[08/28 20:07:10] GGNFS-0.77.1-VC8(UTE) : procrels
[08/28 20:16:33] There were 473207/4386533 duplicates.
[08/28 20:16:33] RelProcTime: 479.1
[08/28 20:17:53] largePrimes: 15870639 , relations: 12247687
[08/28 20:18:21] GGNFS-0.77.1-VC8(UTE) : procrels
[08/28 20:32:05] There were 587680/4379331 duplicates.
[08/28 20:32:05] RelProcTime: 677.6
[08/28 20:34:34] largePrimes: 18161784 , relations: 16039333
[08/28 20:34:48] GGNFS-0.77.1-VC8(UTE) : procrels
[08/28 20:42:10] There were 164258/1091730 duplicates.
[08/28 20:42:10] RelProcTime: 230.4
[08/28 20:45:03] largePrimes: 18635732 , relations: 16966804
[08/28 20:45:13] GGNFS-0.77.1-VC8(UTE) : matbuild
[08/28 20:50:11] largePrimes: 18635732 , relations: 16966804
[08/28 20:54:32] Heap stats for matbuild run.
[08/28 20:54:32] Max heap usage: 0 MB
[08/28 20:54:32] malloc/realloc errors: 0 
[08/28 20:54:32] total malloc's : 1340 
[08/28 20:54:32] total realloc's: 724 
[08/28 20:54:32] rels:16966804, initialFF:0, finalFF:597314
[08/28 23:22:19] GGNFS-0.77.1-VC8(UTE) : procrels
[08/28 23:29:21] There were 58289/371617 duplicates.
[08/28 23:29:21] RelProcTime: 125.0
[08/28 23:32:58] largePrimes: 18789888 , relations: 17280132
[08/28 23:33:13] GGNFS-0.77.1-VC8(UTE) : matbuild
[08/28 23:39:08] largePrimes: 18789888 , relations: 17280132
[08/28 23:43:21] Heap stats for matbuild run.
[08/28 23:43:21] Max heap usage: 0 MB
[08/28 23:43:21] malloc/realloc errors: 0 
[08/28 23:43:21] total malloc's : 1285 
[08/28 23:43:21] total realloc's: 688 
[08/28 23:43:21] rels:17280132, initialFF:0, finalFF:643421
[08/29 21:52:15] GGNFS-0.77.1-VC8(UTE) : procrels
[08/29 22:08:08] There were 640284/3808684 duplicates.
[08/29 22:08:08] RelProcTime: 683.5
[08/29 22:11:44] largePrimes: 20184264 , relations: 20448530
[08/29 22:11:54] GGNFS-0.77.1-VC8(UTE) : matbuild
[08/29 22:18:22] largePrimes: 20184264 , relations: 20448530
[08/29 22:42:13] reduceRelSets dropped relation-set weight from 29489610 to 20722928.
[08/29 22:48:12] reduceRelSets dropped relation-set weight from 20722928 to 20639007.
[08/29 22:48:12] After removing heavy rel-sets, weight is 16327072.
[08/29 22:57:14] Heap stats for matbuild run.
[08/29 22:57:14] Max heap usage: 0 MB
[08/29 22:57:14] malloc/realloc errors: 0 
[08/29 22:57:14] total malloc's : 1676 
[08/29 22:57:14] total realloc's: 820 
[08/29 22:57:14] rels:20448530, initialFF:0, finalFF:1129460
[08/29 22:57:14] depinf file written. Run matprune.
[08/29 22:58:11] GGNFS-0.77.1-VC8(UTE) : matprune
[08/29 22:58:25] Pruning matrix with wt=0.700
[08/29 22:58:25] Initial matrix is 1016430 x 1129460 with sparse part having weight 169142377.
[08/29 22:58:25] (total weight is 258688639)
[08/29 23:14:07] Matrix pruned to 976602 x 981748 with weight 130168449.
[08/29 23:14:15] Matrix is pruned. Run matsolve.
[08/29 23:14:15] Heap stats for matprune run:
[08/29 23:14:15] Max heap usage: 0 MB
[08/29 23:14:15] malloc/realloc errors: 0 
[08/29 23:14:15] total malloc's : 15 
[08/29 23:14:15] total realloc's: 0 
[08/29 23:15:44] GGNFS-0.77.1-VC8(UTE) : matsolve (seed=479309696)
[08/31 15:50:57] BLanczosTime: 146110.7
[08/31 15:50:57] Heap stats for matsolve run:
[08/31 15:50:57] Max heap usage: 0 MB
[08/31 15:50:57] malloc/realloc errors: 0 
[08/31 15:50:57] total malloc's : 13 
[08/31 15:50:57] total realloc's: 0 
[08/31 18:16:17] GGNFS-0.77.1-VC8(UTE) : sqrt
[08/31 18:16:20] bmultiplier=6
[08/31 19:48:54] From dependence 0, sqrt obtained:
[08/31 19:48:54]   r1=2922846664505012680842447305370769845440676976644074645671139 (pp61)
[08/31 19:48:54]   r2=12376139643601874678036252497273061701923033042722180553763231205237831 (pp71)
[08/31 19:48:54] (pp=probable prime, c=composite)
[08/31 19:48:54] sqrtTime: 5556.9

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 1, 2012 01:00:00 UTC 2012 年 8 月 1 日 (水) 10 時 0 分 0 秒 (日本時間)
403e623181000Domanov DmitryAugust 2, 2012 15:45:49 UTC 2012 年 8 月 3 日 (金) 0 時 45 分 49 秒 (日本時間)
118Pawel ApostolAugust 15, 2012 15:02:04 UTC 2012 年 8 月 16 日 (木) 0 時 2 分 4 秒 (日本時間)
1200Pawel ApostolAugust 16, 2012 23:42:20 UTC 2012 年 8 月 17 日 (金) 8 時 42 分 20 秒 (日本時間)
4511e6100 / 3963Pawel ApostolAugust 17, 2012 18:36:46 UTC 2012 年 8 月 18 日 (土) 3 時 36 分 46 秒 (日本時間)

32×10219+139

c213

name 名前Domanov Dmitry
date 日付August 3, 2012 07:38:36 UTC 2012 年 8 月 3 日 (金) 16 時 38 分 36 秒 (日本時間)
composite number 合成数
182398038655650531924265165184252257217052919308253386420510481608740213055614991666433111678106814149616767755934643659183268436396176588273528635919225096980609657806288643197590831986024571079184728418696840911<213>
prime factors 素因数
4615733482402358330134878165465286241<37>
39516588067974307606828840597388398718209113287535408619160278682174277120045971513722211421201676872898684063818937572303651179463728095057110544516699187155394089131316525871<176>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=837073866
Step 1 took 31773ms
Step 2 took 11137ms
********** Factor found in step 2: 4615733482402358330134878165465286241
Found probable prime factor of 37 digits: 4615733482402358330134878165465286241

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 1, 2012 01:00:00 UTC 2012 年 8 月 1 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61000 / 2318Domanov DmitryAugust 2, 2012 15:46:03 UTC 2012 年 8 月 3 日 (金) 0 時 46 分 3 秒 (日本時間)

32×10221+139

c200

name 名前Erik Branger
date 日付August 7, 2021 18:10:15 UTC 2021 年 8 月 8 日 (日) 3 時 10 分 15 秒 (日本時間)
composite number 合成数
30755622364830524525684491817358502300201732887388770311738568711195378956886936140461944429868479589063261293070350520353780307912626360298206134451682019784387167605200149607859444220727656807068559<200>
prime factors 素因数
38633507757589767489545640988928442757157046877<47>
352522345021970119722403789810401360927858545732521124412204512437<66>
2258258883290901945976651861127995915598887427191171850236259382560013591587089504698191<88>
factorization results 素因数分解の結果
Number: 35557_221
N = 30755622364830524525684491817358502300201732887388770311738568711195378956886936140461944429868479589063261293070350520353780307912626360298206134451682019784387167605200149607859444220727656807068559 (200 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=38633507757589767489545640988928442757157046877 (pp47)
r2=352522345021970119722403789810401360927858545732521124412204512437 (pp66)
r3=2258258883290901945976651861127995915598887427191171850236259382560013591587089504698191 (pp88)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 91.00 hours.
Factorization parameters were as follows:
n: 30755622364830524525684491817358502300201732887388770311738568711195378956886936140461944429868479589063261293070350520353780307912626360298206134451682019784387167605200149607859444220727656807068559
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 320
c0: 13
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 8020344 relations
Pruned matrix : 6885658 x 6885883
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 37.01 hours.
Total relation processing time: 0.81 hours.
Matrix solve time: 52.46 hours.
time per square root: 0.73 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 91.00 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 1, 2012 01:00:00 UTC 2012 年 8 月 1 日 (水) 10 時 0 分 0 秒 (日本時間)
403e626001000Domanov DmitryAugust 2, 2012 15:46:26 UTC 2012 年 8 月 3 日 (金) 0 時 46 分 26 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:18 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 18 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:12 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 12 秒 (日本時間)

32×10223+139

c165

name 名前Domanov Dmitry
date 日付August 2, 2012 14:41:54 UTC 2012 年 8 月 2 日 (木) 23 時 41 分 54 秒 (日本時間)
composite number 合成数
741467969214285585020270450175689076860412929437640150702860170330321934494518075157743287168599174936643729370880816090870421636465136525802483039258472709951746229<165>
prime factors 素因数
176507613232230631748667594288721<33>
4200770468969732230078273696449017521159211823766371970960633953909340537285157397570121169866861657102417838689763020858710511750949<133>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3255573293
Step 1 took 19713ms
Step 2 took 8320ms
********** Factor found in step 2: 176507613232230631748667594288721
Found probable prime factor of 33 digits: 176507613232230631748667594288721

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 1, 2012 01:00:00 UTC 2012 年 8 月 1 日 (水) 10 時 0 分 0 秒 (日本時間)

32×10225+139

c180

composite cofactor 合成数の残り
165568742092826288083230285878331283835802487905887719674903904206252919460044238534226584385541257907572402160526370650710480190020989573386523647043523458907967339134610738584741<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 1, 2012 01:00:00 UTC 2012 年 8 月 1 日 (水) 10 時 0 分 0 秒 (日本時間)
403e626001000Domanov DmitryAugust 2, 2012 15:47:05 UTC 2012 年 8 月 3 日 (金) 0 時 47 分 5 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:18 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 18 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:12 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 12 秒 (日本時間)

32×10228+139

c204

composite cofactor 合成数の残り
120163928132596877678141368278118062213406388466708981916191849789057230589348176682437470689759810643969654409844505906517851377671704204941256041841331979365337638266557076382138486662307169640542055313<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 1, 2012 01:00:00 UTC 2012 年 8 月 1 日 (水) 10 時 0 分 0 秒 (日本時間)
403e626001000Domanov DmitryAugust 2, 2012 15:47:40 UTC 2012 年 8 月 3 日 (金) 0 時 47 分 40 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:19 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 19 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:13 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 13 秒 (日本時間)

32×10230+139

c203

name 名前Domanov Dmitry
date 日付August 3, 2012 07:39:00 UTC 2012 年 8 月 3 日 (金) 16 時 39 分 0 秒 (日本時間)
composite number 合成数
19443288139513637274593249798466438384793850391973556353406905768116430802643475430444984931699351290648304399982282143906303745891322629796353731859106397533547616471804377152482489142368542478169374453<203>
prime factors 素因数
75679525431059502321415604958947611<35>
256916094924849399595545798019353126710370348823846573973394845059366011284191941915472109184478357289215912667779021951183927718143437637710817034800685028450711685423<168>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2513228818
Step 1 took 27236ms
********** Factor found in step 1: 75679525431059502321415604958947611
Found probable prime factor of 35 digits: 75679525431059502321415604958947611

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 1, 2012 01:00:00 UTC 2012 年 8 月 1 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61000 / 2318Domanov DmitryAugust 2, 2012 15:47:57 UTC 2012 年 8 月 3 日 (金) 0 時 47 分 57 秒 (日本時間)

32×10232+139

c216

composite cofactor 合成数の残り
319235685420433053029730828055894827034899272865205414803619926517748580880734288852356243778005163956090972608533153179032660485819435741776730733261689433620690470182063463756199243751663296048303035148405264815227<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 1, 2012 01:00:00 UTC 2012 年 8 月 1 日 (水) 10 時 0 分 0 秒 (日本時間)
403e613001000Domanov DmitryAugust 2, 2012 15:48:28 UTC 2012 年 8 月 3 日 (金) 0 時 48 分 28 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:20 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 20 秒 (日本時間)
4511e6595 / 4188295CypMarch 7, 2014 22:50:18 UTC 2014 年 3 月 8 日 (土) 7 時 50 分 18 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:21 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 21 秒 (日本時間)

32×10233+139

c192

composite cofactor 合成数の残り
516867569110413263217464193701750073797245132548104730511415416374142913166147960885251207616562873521174738506329302969450123241533557693304855177905888487421572350052470152937027347238430187<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 1, 2012 01:00:00 UTC 2012 年 8 月 1 日 (水) 10 時 0 分 0 秒 (日本時間)
403e626001000Domanov DmitryAugust 2, 2012 15:48:51 UTC 2012 年 8 月 3 日 (金) 0 時 48 分 51 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:21 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 21 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:13 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 13 秒 (日本時間)

32×10234+139

c211

name 名前Serge Batalov
date 日付August 1, 2012 07:33:38 UTC 2012 年 8 月 1 日 (水) 16 時 33 分 38 秒 (日本時間)
composite number 合成数
1356197183496761185855621482990170049886187580002378040616340218044448580252523719457123645754097587958554705329923516729780543587756390850884587166204877295489687602436590288234954471556773959935167158832379287<211>
prime factors 素因数
65119455614435840607393525356966581<35>
composite cofactor 合成数の残り
20826297927406445770923980184664615796030622177178842926520682486242832176553068224185702602218849919727499314260739179811019135502574240674499000794186247718768903629508393627<176>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=186719257
Step 1 took 11353ms
Step 2 took 7052ms
********** Factor found in step 2: 65119455614435840607393525356966581
Found probable prime factor of 35 digits: 65119455614435840607393525356966581
Composite cofactor has 176 digits

c176

name 名前Domanov Dmitry
date 日付August 2, 2012 14:42:35 UTC 2012 年 8 月 2 日 (木) 23 時 42 分 35 秒 (日本時間)
composite number 合成数
20826297927406445770923980184664615796030622177178842926520682486242832176553068224185702602218849919727499314260739179811019135502574240674499000794186247718768903629508393627<176>
prime factors 素因数
5148448899967385943574274116374600122214031<43>
4045159684412595575557229301610352481824291577772998529727553030465758540712317895229142075029412460322354107401058833408609113592117<133>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1148765918
Step 1 took 23537ms
Step 2 took 8962ms
********** Factor found in step 2: 5148448899967385943574274116374600122214031
Found probable prime factor of 43 digits: 5148448899967385943574274116374600122214031

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 1, 2012 01:00:00 UTC 2012 年 8 月 1 日 (水) 10 時 0 分 0 秒 (日本時間)

32×10235+139

c197

composite cofactor 合成数の残り
58882590310254421446541606282540698891422423767729888942088359873577463387277504093997554022355201128103114537933916067756940493040150822330163488621501543886494245325850021993049556760775994621177<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 1, 2012 01:00:00 UTC 2012 年 8 月 1 日 (水) 10 時 0 分 0 秒 (日本時間)
403e626001000Domanov DmitryAugust 2, 2012 19:32:15 UTC 2012 年 8 月 3 日 (金) 4 時 32 分 15 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:22 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 22 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:14 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 14 秒 (日本時間)

32×10236+139

c234

composite cofactor 合成数の残り
238467844101646918548326999031224383337059393397421566435650942693196214322974886355168045308890379312914524182129815932632834041284745510097622773679111707280721365228407481928608689172069453759594604665027200238467844101646918548327<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 1, 2012 01:00:00 UTC 2012 年 8 月 1 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61000Domanov DmitryAugust 2, 2012 19:32:25 UTC 2012 年 8 月 3 日 (金) 4 時 32 分 25 秒 (日本時間)
4511e642501000Dmitry DomanovAugust 16, 2012 19:31:42 UTC 2012 年 8 月 17 日 (金) 4 時 31 分 42 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:17:02 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 2 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:39 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 39 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:24:46 UTC 2014 年 2 月 24 日 (月) 4 時 24 分 46 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:04:18 UTC 2014 年 5 月 25 日 (日) 4 時 4 分 18 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:21 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 21 秒 (日本時間)
5043e61 / 6561KTakahashiAugust 6, 2014 12:43:36 UTC 2014 年 8 月 6 日 (水) 21 時 43 分 36 秒 (日本時間)

32×10237+139

c217

composite cofactor 合成数の残り
1530500724129794631112965865296625963904593674469133137362042299612051016961532677676039983882185296440387285495964575668130963219046575357972487388722988452107354886731783845617625870947044508697300728322131501899547<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 1, 2012 01:00:00 UTC 2012 年 8 月 1 日 (水) 10 時 0 分 0 秒 (日本時間)
403e626001000Domanov DmitryAugust 2, 2012 19:32:46 UTC 2012 年 8 月 3 日 (金) 4 時 32 分 46 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:23 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 23 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:14 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 14 秒 (日本時間)

32×10238+139

c221

composite cofactor 合成数の残り
29669013266786907140715948449596855443112510148525625234574892834292474369920944398910931635192935749454108380061838018288343341780943177578653765920069960972719185018011637579036357817815615119842017168754252421281771367<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 1, 2012 01:00:00 UTC 2012 年 8 月 1 日 (水) 10 時 0 分 0 秒 (日本時間)
403e613001000Domanov DmitryAugust 2, 2012 19:32:56 UTC 2012 年 8 月 3 日 (金) 4 時 32 分 56 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:23 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 23 秒 (日本時間)
4511e6595 / 4188295CypMarch 9, 2014 02:37:25 UTC 2014 年 3 月 9 日 (日) 11 時 37 分 25 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:22 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 22 秒 (日本時間)

32×10240+139

c196

name 名前Domanov Dmitry
date 日付August 3, 2012 07:39:23 UTC 2012 年 8 月 3 日 (金) 16 時 39 分 23 秒 (日本時間)
composite number 合成数
9351363255557118828881385825710357167956761873212202172173852921076573215317157398901593009898121414848137183898794873455194588444043764258915647607978653701016121319141640707739410533042576809247<196>
prime factors 素因数
20244534167662459126717272278338766491085879<44>
composite cofactor 合成数の残り
461920396790087101153643888821591961445121237092216347487854527478338503533767507977746022586117034983714526446064426313975446053656086398727151793877593<153>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3656059785
Step 1 took 27477ms
Step 2 took 4698ms
********** Factor found in step 2: 20244534167662459126717272278338766491085879
Found probable prime factor of 44 digits: 20244534167662459126717272278338766491085879

c153

name 名前yoyo
date 日付May 5, 2022 02:17:53 UTC 2022 年 5 月 5 日 (木) 11 時 17 分 53 秒 (日本時間)
composite number 合成数
461920396790087101153643888821591961445121237092216347487854527478338503533767507977746022586117034983714526446064426313975446053656086398727151793877593<153>
prime factors 素因数
3520553591197649678291123744297035917077892584467<49>
131206750536340331233012749943333308483018049660463189137988293890420673553533171232781117822913172174179<105>
factorization results 素因数分解の結果
GMP-ECM 7.0.5-dev [configured with GMP 6.0.0, --enable-asm-redc, --enable-assert] [ECM]
Tuned for x86_64/core2/params.h
Running on A300mini
Input number is 461920396790087101153643888821591961445121237092216347487854527478338503533767507977746022586117034983714526446064426313975446053656086398727151793877593 (153 digits)
[Wed May  4 19:02:46 2022]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=0:4273758850274961427
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
35     40      45      50      55      60      65      70      75      80
55      246     1286    7557    49831   361851  2844041 2.4e+07 2.2e+08 2.2e+09
Writing checkpoint to checkpnt at p = 43000000
Step 1 took 69051ms
Using 19 small primes for NTT
Estimated memory usage: 212.58MB
Initializing tables of differences for F took 26ms
Computing roots of F took 1282ms
Building F from its roots took 1157ms
Computing 1/F took 537ms
Initializing table of differences for G took 34ms
Computing roots of G took 1014ms
Building G from its roots took 1207ms
Computing roots of G took 1040ms
Building G from its roots took 1240ms
Computing G * H took 273ms
Reducing  G * H mod F took 292ms
Computing roots of G took 1019ms
Building G from its roots took 1234ms
Computing G * H took 269ms
Reducing  G * H mod F took 298ms
Computing roots of G took 1019ms
Building G from its roots took 1252ms
Computing G * H took 277ms
Reducing  G * H mod F took 295ms
Computing roots of G took 1023ms
Building G from its roots took 1246ms
Computing G * H took 272ms
Reducing  G * H mod F took 289ms
Computing polyeval(F,G) took 2400ms
Computing product of all F(g_i) took 13ms
Step 2 took 19142ms
********** Factor found in step 2: 3520553591197649678291123744297035917077892584467
Found prime factor of 49 digits: 3520553591197649678291123744297035917077892584467
Prime cofactor 131206750536340331233012749943333308483018049660463189137988293890420673553533171232781117822913172174179 has 105 digits
Peak memory usage: 298MB
software ソフトウェア
GMP-ECM 7.0.5-dev

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 1, 2012 01:00:00 UTC 2012 年 8 月 1 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61000Domanov DmitryAugust 2, 2012 19:33:12 UTC 2012 年 8 月 3 日 (金) 4 時 33 分 12 秒 (日本時間)
4511e64346400Dmitry DomanovAugust 17, 2012 09:28:53 UTC 2012 年 8 月 17 日 (金) 18 時 28 分 53 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:38 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 38 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:33 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 33 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:33 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 33 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:22 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 22 秒 (日本時間)
1496Ignacio SantosJanuary 18, 2016 05:47:10 UTC 2016 年 1 月 18 日 (月) 14 時 47 分 10 秒 (日本時間)

32×10241+139

c229

composite cofactor 合成数の残り
1247494869337605176410736277195393296564872845538949755940437281129003915749470566279496278381453725279908732376483693925863737499674619542807248725932348383415615189288191561066206761626597607697106687233138122190138837105128811<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 1, 2012 01:00:00 UTC 2012 年 8 月 1 日 (水) 10 時 0 分 0 秒 (日本時間)
403e626001000Domanov DmitryAugust 2, 2012 19:33:21 UTC 2012 年 8 月 3 日 (金) 4 時 33 分 21 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:24 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 24 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:14 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 14 秒 (日本時間)

32×10242+139

c201

name 名前Serge Batalov
date 日付August 1, 2012 09:14:44 UTC 2012 年 8 月 1 日 (水) 18 時 14 分 44 秒 (日本時間)
composite number 合成数
194158094008606831213032826091458105204053122625650963532639778547367727362389040001384325057567578080553945169372600175141140675768976161456240801258956233023930723385232707074943884684532947364930263<201>
prime factors 素因数
1604395028544627882068267997691<31>
121016389700939618715062436311731818048780707154300662668200046307931043133129296581977155504109321062607638982546964916013362417084748603668394888796609445596248965595093<171>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=2179944985
Step 1 took 11105ms
Step 2 took 6756ms
********** Factor found in step 2: 1604395028544627882068267997691
Found probable prime factor of 31 digits: 1604395028544627882068267997691
Probable prime cofactor 121016389700939618715062436311731818048780707154300662668200046307931043133129296581977155504109321062607638982546964916013362417084748603668394888796609445596248965595093 has 171 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 1, 2012 01:00:00 UTC 2012 年 8 月 1 日 (水) 10 時 0 分 0 秒 (日本時間)

32×10243+139

c239

composite cofactor 合成数の残り
87897840734606203939471349424131802812181542002807237288461485638316866222233209452314047997714656140900238697573744914972573126883279907927011830500001373403761478221936554239834752059418940336593793863082632210713098701034722393897692407<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 1, 2012 01:00:00 UTC 2012 年 8 月 1 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61000Domanov DmitryAugust 2, 2012 19:33:35 UTC 2012 年 8 月 3 日 (金) 4 時 33 分 35 秒 (日本時間)
4511e61600Dmitry DomanovAugust 15, 2012 20:35:51 UTC 2012 年 8 月 16 日 (木) 5 時 35 分 51 秒 (日本時間)
5043e6800 / 7156Dmitry DomanovAugust 16, 2012 19:29:33 UTC 2012 年 8 月 17 日 (金) 4 時 29 分 33 秒 (日本時間)

32×10244+139

c232

composite cofactor 合成数の残り
1392112444719800238425686503226854509118887052978339358995467346969832364366322629491380760920215279896258391770495364966671125022447160315505100926952146572770820161585450509086791493424638500633985914065598283674649815302460415321<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 1, 2012 01:00:00 UTC 2012 年 8 月 1 日 (水) 10 時 0 分 0 秒 (日本時間)
403e613001000Domanov DmitryAugust 2, 2012 19:33:46 UTC 2012 年 8 月 3 日 (金) 4 時 33 分 46 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:25 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 25 秒 (日本時間)
4511e6692 / 4188392CypJanuary 9, 2014 08:32:14 UTC 2014 年 1 月 9 日 (木) 17 時 32 分 14 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:23 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 23 秒 (日本時間)

32×10245+139

c227

name 名前Serge Batalov
date 日付August 1, 2012 07:47:46 UTC 2012 年 8 月 1 日 (水) 16 時 47 分 46 秒 (日本時間)
composite number 合成数
62661505193297179415892781194417641963600766566780274781145470446530415262987427554508864875081282739862006986501523826940724034422558338522312059471970014295113117153281191119390722726473639907727626873609856205346960723776899<227>
prime factors 素因数
1259917661940696779994829979212804088201<40>
composite cofactor 合成数の残り
49734603368268839730981641044242842554611719676204700097059221294365728609774048211306655701119347090676171546876117750326927662754892359154801857396405594098284620222318514927679150045099<188>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3717839902
Step 1 took 13925ms
Step 2 took 7869ms
********** Factor found in step 2: 1259917661940696779994829979212804088201
Found probable prime factor of 40 digits: 1259917661940696779994829979212804088201
Composite cofactor has 188 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 1, 2012 01:00:00 UTC 2012 年 8 月 1 日 (水) 10 時 0 分 0 秒 (日本時間)
403e626001000Domanov DmitryAugust 2, 2012 19:33:57 UTC 2012 年 8 月 3 日 (金) 4 時 33 分 57 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:26 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 26 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:15 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 15 秒 (日本時間)

32×10246+139

c213

composite cofactor 合成数の残り
136803461263858179761471797471323213477267199643347778354785261048504909438414795927385127103907277308004406138700014126009162618435616235580331213005208169761709401903917182065779463391311621346896474478963908911<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 1, 2012 01:00:00 UTC 2012 年 8 月 1 日 (水) 10 時 0 分 0 秒 (日本時間)
403e613001000Domanov DmitryAugust 2, 2012 19:34:10 UTC 2012 年 8 月 3 日 (金) 4 時 34 分 10 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:26 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 26 秒 (日本時間)
4511e6595 / 4188295CypMarch 8, 2014 09:43:35 UTC 2014 年 3 月 8 日 (土) 18 時 43 分 35 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:23 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 23 秒 (日本時間)

32×10249+139

c220

name 名前Serge Batalov
date 日付May 27, 2014 00:03:11 UTC 2014 年 5 月 27 日 (火) 9 時 3 分 11 秒 (日本時間)
composite number 合成数
5179165347323619440690141213298736644699760337011174289100415053263128934865644652690077382431269777118625241432135729535446349409163717501966579305168730428771703250481981866933426955514136410439225784213048204146383961<220>
prime factors 素因数
1337203844328055073809691796508083966066874403<46>
3873130764087916607875599066554224980346488070262348986461501700215605022809116437393207549247256746381561895993717734967535259372072412411278428965562691308521718901771330387<175>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2747653860
Step 1 took 20032ms
Step 2 took 7558ms
********** Factor found in step 2: 1337203844328055073809691796508083966066874403
Found probable prime factor of 46 digits: 1337203844328055073809691796508083966066874403
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 1, 2012 01:00:00 UTC 2012 年 8 月 1 日 (水) 10 時 0 分 0 秒 (日本時間)
403e626001000Domanov DmitryAugust 2, 2012 19:34:30 UTC 2012 年 8 月 3 日 (金) 4 時 34 分 30 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:27 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 27 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:15 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 15 秒 (日本時間)

32×10250+139

c249

name 名前Domanov Dmitry
date 日付August 3, 2012 07:50:12 UTC 2012 年 8 月 3 日 (金) 16 時 50 分 12 秒 (日本時間)
composite number 合成数
960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960961<249>
prime factors 素因数
1593250336163658269346718082137109448851<40>
603144991812668474112130481549766564993644107512214795768573838184374763907204905057558175942581725874810554633807962258444278468124477905936882764526129399294822352186763118495319225006227343418995498175163611<210>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3805905338
Step 1 took 131785ms
********** Factor found in step 1: 1593250336163658269346718082137109448851
Found probable prime factor of 40 digits: 1593250336163658269346718082137109448851

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 1, 2012 01:00:00 UTC 2012 年 8 月 1 日 (水) 10 時 0 分 0 秒 (日本時間)
403e61000Domanov DmitryAugust 2, 2012 19:34:41 UTC 2012 年 8 月 3 日 (金) 4 時 34 分 41 秒 (日本時間)
4511e62000 / 4254Domanov DmitryAugust 2, 2012 19:35:22 UTC 2012 年 8 月 3 日 (金) 4 時 35 分 22 秒 (日本時間)

32×10251+139

c195

composite cofactor 合成数の残り
700432837391831653290107902546352927429504923634775395713743109788281672921660241064475522423039929544517623362839245394538534247869114528271306647189379375427827865492719698687077763083702257939<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 7, 2017 14:39:01 UTC 2017 年 4 月 7 日 (金) 23 時 39 分 1 秒 (日本時間)
4511e61000 / 4218Lionel DebrouxJuly 16, 2020 21:06:15 UTC 2020 年 7 月 17 日 (金) 6 時 6 分 15 秒 (日本時間)

32×10252+139

c219

composite cofactor 合成数の残り
525540760413434489930439054300876805022326398848207294148766513783206339167734966848285509456521476799615273484800947830599697218925547594613474437034089487408812374141403722552704666063826923798644429917473617654589843<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovApril 7, 2017 14:39:37 UTC 2017 年 4 月 7 日 (金) 23 時 39 分 37 秒 (日本時間)

32×10253+139

c214

composite cofactor 合成数の残り
1953799285260239531826056667783673132022047937681303285366857653138326006745832404372919464356961211489677147947985509737243352926268780335591229806117405005736457344706203093903083763146222121442884711869190848929<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e622001000Dmitry DomanovApril 7, 2017 14:39:55 UTC 2017 年 4 月 7 日 (金) 23 時 39 分 55 秒 (日本時間)
1200ebinaNovember 13, 2021 01:04:05 UTC 2021 年 11 月 13 日 (土) 10 時 4 分 5 秒 (日本時間)

32×10255+139

c229

composite cofactor 合成数の残り
1321499256868411571992342434612381862413901347186883036948762888736342554932708039950606409507282027227843255712351360660152936241809499448168747691610703082228031868913886569397589564079621882341721479517538562901666497693246129<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 19, 2022 06:43:20 UTC 2022 年 2 月 19 日 (土) 15 時 43 分 20 秒 (日本時間)

32×10256+139

c243

composite cofactor 合成数の残り
408370915588104602329585232348614764178694897774757965483494073386900053170773704865962025073062546592864555133053406052213505994736119866387008509910009374256652077499636820272381535195038838184695794704250189449410306366265944812465519122811<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 16, 2022 08:29:56 UTC 2022 年 2 月 16 日 (水) 17 時 29 分 56 秒 (日本時間)

32×10258+139

c184

name 名前Dmitry Domanov
date 日付April 7, 2017 16:17:26 UTC 2017 年 4 月 8 日 (土) 1 時 17 分 26 秒 (日本時間)
composite number 合成数
3374121009271949350244010267227248565558049871067153418263857331252768233712313300503800428423381923283392520244867889673936273503051519618415621454403558053808945652656213352288130627<184>
prime factors 素因数
466208677385439257858225121131025589829<39>
7237362093289365946647334518761089667497435706226587133854291490481135715192524226659698387538711974991885447701819451701399380056639953053906663<145>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1671232845
Step 1 took 23765ms
Step 2 took 8701ms
********** Factor found in step 2: 466208677385439257858225121131025589829
Found probable prime factor of 39 digits: 466208677385439257858225121131025589829

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovApril 7, 2017 14:40:18 UTC 2017 年 4 月 7 日 (金) 23 時 40 分 18 秒 (日本時間)

32×10259+139

c187

composite cofactor 合成数の残り
5253384775210604645123881977233033931730920175258612523590805469885354258548797777584536323799403835666155776856667940645853311219345093493028845697011905828153472796226886007346756084369<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovApril 7, 2017 14:40:53 UTC 2017 年 4 月 7 日 (金) 23 時 40 分 53 秒 (日本時間)

32×10260+139

c230

composite cofactor 合成数の残り
58926490917018235684847928042251892182943387967426997183154734878890835285278165024140348243247409306906430508630779159719348494553481381151878080107157809948328099081961961260066172473492295389214031951164710107693768620256807009<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 19, 2022 11:42:49 UTC 2022 年 2 月 19 日 (土) 20 時 42 分 49 秒 (日本時間)

32×10262+139

c186

composite cofactor 合成数の残り
378465885048605582453094658699299373329992228201221618738951904625920570641535357615018849129965074094201950904883658808110999755077762040935064939495547892929060043751767729179235256593<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovApril 7, 2017 14:41:12 UTC 2017 年 4 月 7 日 (金) 23 時 41 分 12 秒 (日本時間)

32×10263+139

c245

composite cofactor 合成数の残り
70009195790982415583963307912164654977549021283020269344435617280728671086554879633424166298231639652346922837512282211515081031056270157767835961748519224889160565048522368852269352386272955386570884759060681336855513412374011103182670192987499<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 3, 2022 18:27:11 UTC 2022 年 3 月 4 日 (金) 3 時 27 分 11 秒 (日本時間)

32×10264+139

c263

composite cofactor 合成数の残り
12135001896094046264694728858551384148653773227152066742510428517254455821008722032612817595752749336367083807356844899507015547971179370496776640121350018960940462646947288585513841486537732271520667425104285172544558210087220326128175957527493363670838073568449<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 1, 2022 18:14:59 UTC 2022 年 3 月 2 日 (水) 3 時 14 分 59 秒 (日本時間)

32×10265+139

c213

composite cofactor 合成数の残り
199892305051510279339305459339621613198087992453686210532427269279665162179461415377460513523325839011265515239163713246506662673804779855480499788562322758551205881453813670760631259456514397721412940678865987783<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovApril 7, 2017 14:41:34 UTC 2017 年 4 月 7 日 (金) 23 時 41 分 34 秒 (日本時間)

32×10266+139

c257

composite cofactor 合成数の残り
10345005920921320213248060650582366309780806327490424420454538712327444386473801785499562710471923054823847734410143957382687021507312481710341296345011753545574116598185907104721752531369423950452926785412724063699870505425976035293519096312072692830226553<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e62104ebinaOctober 23, 2021 22:24:12 UTC 2021 年 10 月 24 日 (日) 7 時 24 分 12 秒 (日本時間)

32×10267+139

c240

composite cofactor 合成数の残り
490759882459578696451970868519672294188089256485591197291153289929755592944784767877200469709159040961602428130116074622786135183813635660329194485431071629720032859762209492228899517354372188736966063223076211013181826784584962177652151547<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 23, 2022 17:38:17 UTC 2022 年 2 月 24 日 (木) 2 時 38 分 17 秒 (日本時間)

32×10268+139

c267

composite cofactor 合成数の残り
960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960961<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 8, 2022 09:28:14 UTC 2022 年 3 月 8 日 (火) 18 時 28 分 14 秒 (日本時間)

32×10269+139

c221

composite cofactor 合成数の残り
81410356549759897543325112047667565620430685993847894220903237094763712375721596842429027149490762650105017607673539920131410439408066590657439037055164429209044511585420118808589155136888164497958423499057097861404870313<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovApril 7, 2017 14:43:13 UTC 2017 年 4 月 7 日 (金) 23 時 43 分 13 秒 (日本時間)

32×10270+139

c263

composite cofactor 合成数の残り
42354725300758885893311234437747222628926853996931180436822521030309029512956567906816861869867226896853692334526266083695698192955101745057169475083422561834586667230937494486026923980305587463554040140544679040782318036234703092958712353030542605234308927972797<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 8, 2022 03:57:15 UTC 2022 年 3 月 8 日 (火) 12 時 57 分 15 秒 (日本時間)

32×10271+139

c253

composite cofactor 合成数の残り
1646276150332702828137437985707540240289712270196046712994711740566460829944838321087181930784767072122584830159171790024473153642853869572879841015524612793934291916165399419782665008788336948408909130708024353890092503059062536468264476827225707622571<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 7, 2022 08:40:07 UTC 2022 年 3 月 7 日 (月) 17 時 40 分 7 秒 (日本時間)

32×10272+139

c236

composite cofactor 合成数の残り
38642042111355886342570751477518790870244303657864751213099880893701818602945169504368399852274794460751449086382262819710985272755224897377348220623945684036223787684315469010267636740547461489568190394060203220019278444360720988937867<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 3, 2022 00:45:51 UTC 2022 年 3 月 3 日 (木) 9 時 45 分 51 秒 (日本時間)

32×10273+139

c263

composite cofactor 合成数の残り
44289103979171213136868456344359904911851965513682874320998034465934380405362796333211913344443280615785290133110363938306769133091544907043288062563814204854105193914287137182676517409440851520578594363313665298783281086791025450110394424267218121305046438666001<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 8, 2022 02:48:30 UTC 2022 年 3 月 8 日 (火) 11 時 48 分 30 秒 (日本時間)

32×10275+139

c256

composite cofactor 合成数の残り
2215420514162401417098166274673529451387257512083129102784776540396729215079920456523600277677224168989479898160437843046221974737751076503260891612807329952114979655061645172274729705255421502175053466385290818915201448664814969212917259676699916763055873<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 7, 2022 09:44:24 UTC 2022 年 3 月 7 日 (月) 18 時 44 分 24 秒 (日本時間)

32×10277+139

c233

composite cofactor 合成数の残り
12201934868168640975428131166855884705065793838581659825203017676212500679885691199221692525008385029373577034070028481518340350385599627661737381239563941916189714612199274798747657388511186628407449150747055989902299271355974005913<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 2, 2022 19:42:03 UTC 2022 年 3 月 3 日 (木) 4 時 42 分 3 秒 (日本時間)

32×10278+139

c265

name 名前Marlon Trifunovic
date 日付April 15, 2022 00:31:34 UTC 2022 年 4 月 15 日 (金) 9 時 31 分 34 秒 (日本時間)
composite number 合成数
2932023906077641299220051455883637424572516334341605014356995621364842360085045532213862695882376011186114566706261138282742132286311109895997104900358914405600621326057244258118880827762264577712989782668556579207636396854831044798799802513434356667728851238874217<265>
prime factors 素因数
2980248449823065347215781733281029786691133<43>
composite cofactor 合成数の残り
983818616280704014624796763186568590430951203055482438308624359330266994464758033374218246178627263018470273335023482619383233537186654886495695923868076914150225750501529989611690904257651081361578595800883507719095233949<222>
factorization results 素因数分解の結果
Run 165 out of 610:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:125448294
Step 1 took 26367ms
Step 2 took 10179ms
********** Factor found in step 2: 2980248449823065347215781733281029786691133
Found prime factor of 43 digits: 2980248449823065347215781733281029786691133
Composite cofactor 983818616280704014624796763186568590430951203055482438308624359330266994464758033374218246178627263018470273335023482619383233537186654886495695923868076914150225750501529989611690904257651081361578595800883507719095233949 has 222 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 7, 2022 11:45:07 UTC 2022 年 3 月 7 日 (月) 20 時 45 分 7 秒 (日本時間)

32×10279+139

c197

composite cofactor 合成数の残り
16612490145830659103245906406008949870702907202726520066658288462664538134205263225531141657055184917720779233287642830977094358409580784281546277267545194504895548852961481959845504433998964466021<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovApril 7, 2017 14:42:12 UTC 2017 年 4 月 7 日 (金) 23 時 42 分 12 秒 (日本時間)

32×10281+139

c231

composite cofactor 合成数の残り
101545032634955255259817477460326770400064221602135669955676403012646195936540626236014095360142567354861102856521296162668204443112501158425848315008705430754695257184623036277666433731962814763312735768413047121551938323662294067<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 21, 2022 06:45:10 UTC 2022 年 2 月 21 日 (月) 15 時 45 分 10 秒 (日本時間)

32×10282+139

c200

composite cofactor 合成数の残り
78290727855280780711435688838579146237369783962028624159004212547916885716622805714045178532914369540917805985000003470950593766074768574558679212978723561003687989487612757210413984832278502074126423<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovApril 7, 2017 14:42:32 UTC 2017 年 4 月 7 日 (金) 23 時 42 分 32 秒 (日本時間)

32×10283+139

c279

composite cofactor 合成数の残り
249794894972955799573943582261752264351692477504798794115144518055877556787356631390943842204564845583821409139839085251094609035861960218601757463207944102147377426815950340774879376387044700015846363649846883535472045999729909269810491541710673501679480364169732508697936303863<279>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 2, 2022 00:47:17 UTC 2022 年 3 月 2 日 (水) 9 時 47 分 17 秒 (日本時間)

32×10284+139

c276

composite cofactor 合成数の残り
303824940849767808060092234679928737749987145902578674944572387643086573080558209782106980879070823523665072330193255761621033369679350829956364452166056573035517111754069058858562337520599011736063130091394690367505696150580164638514178717243726280747066567798726817920480699<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 9, 2022 17:30:19 UTC 2022 年 3 月 10 日 (木) 2 時 30 分 19 秒 (日本時間)

32×10285+139

c268

composite cofactor 合成数の残り
3714646916992825039668224775876414255892384878343592113438190346215752232182614517948335000827328620922932358884764706920270810349269660265448881954593810263438524515456118578663998619086072445172864698884948430433202050730654690333225723020667476691387351648689035633<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 8, 2022 06:06:51 UTC 2022 年 3 月 8 日 (火) 15 時 6 分 51 秒 (日本時間)

32×10286+139

c244

composite cofactor 合成数の残り
8152047663514133750846338963701844830771290141726033239007150637178602152896472344319407702960655244523505392559175636542670822782209768399793155794428709765131595942210551814905880370959682984977952979201605341991587181991912399960385177920359<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 4, 2022 02:30:19 UTC 2022 年 3 月 4 日 (金) 11 時 30 分 19 秒 (日本時間)

32×10287+139

c264

composite cofactor 合成数の残り
473462526103283040929662072872490801194767296082681621225992943088546488593223236942435225996788173749784398117745715967143210638969347759535537185868023863372386964709548901746871932069914395116625330658534673580094639657638224316533773092867242482954219725830437<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 7, 2022 17:58:02 UTC 2022 年 3 月 8 日 (火) 2 時 58 分 2 秒 (日本時間)

32×10288+139

c272

name 名前Marlon Trifunovic
date 日付April 15, 2022 00:31:39 UTC 2022 年 4 月 15 日 (金) 9 時 31 分 39 秒 (日本時間)
composite number 合成数
17758662736985916344170287264227877873985113534612436923213492766193744930902804519721991798966714396814238894381489153555416682123427369895445999497755943711659883677097660059655792783532411027346874975578610895885249263438280299227567455217264686064335229338722263399277<272>
prime factors 素因数
735517597547399341455322069701233564446619<42>
composite cofactor 合成数の残り
24144443037396512657050542469195789415722131685764571430463091018239740038921443223287213402112374897370126518114300472875916298914298217102084554383223454099550046646134062236030474725968119543479571005517972556990105001024972183<230>
factorization results 素因数分解の結果
Run 18 out of 610:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2832271546
Step 1 took 31212ms
Step 2 took 10934ms
********** Factor found in step 2: 735517597547399341455322069701233564446619
Found prime factor of 42 digits: 735517597547399341455322069701233564446619
Composite cofactor 24144443037396512657050542469195789415722131685764571430463091018239740038921443223287213402112374897370126518114300472875916298914298217102084554383223454099550046646134062236030474725968119543479571005517972556990105001024972183 has 230 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 9, 2022 17:28:05 UTC 2022 年 3 月 10 日 (木) 2 時 28 分 5 秒 (日本時間)

32×10290+139

c235

composite cofactor 合成数の残り
5061924466938678537627050587951396233322638610233261931864403750061680738336282525824677633038228822178573978770938347908313568788953784882592851399651692861979759016794076728301806119693105450047935736234008422666183081480765769243499<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 2, 2022 18:53:56 UTC 2022 年 3 月 3 日 (木) 3 時 53 分 56 秒 (日本時間)

32×10291+139

c281

composite cofactor 合成数の残り
32210636711150189900293026271411876745768201967755544751509488742392803531189724329606423090118310167532488183359045669314664913908096340361751780831064514358555810874597800073990313348488183099661464538950222188511673054639790366579625962712347876879764603686664712700130504423341<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 17, 2022 01:54:25 UTC 2022 年 2 月 17 日 (木) 10 時 54 分 25 秒 (日本時間)

32×10294+139

c251

composite cofactor 合成数の残り
78242116623671807978476673048632445335002614966004196637197842845330512464981386478294255153015272396588007478496745672350421869042958979961502722808263990104168856019818759569216052504134429983990792244380633347341933730840875741914834190455682625693<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 16, 2022 08:30:07 UTC 2022 年 2 月 16 日 (水) 17 時 30 分 7 秒 (日本時間)

32×10295+139

c231

composite cofactor 合成数の残り
391960595443104973712689475405698217003963144295761327396560595042730200929372643465792922316447479654678245437415634289524834060720613134861379078112903351188307834962284221508971687815877916225052996313123184646695681172662236311<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 21, 2022 17:12:15 UTC 2022 年 2 月 22 日 (火) 2 時 12 分 15 秒 (日本時間)

32×10296+139

c279

name 名前Marlon Trifunovic
date 日付April 15, 2022 00:31:44 UTC 2022 年 4 月 15 日 (金) 9 時 31 分 44 秒 (日本時間)
composite number 合成数
578931055973999922456199760678320325959790958312077644178430844860313890777983970684450002969536146255149160637168870574318743354542224530840810419834233292962191341547883004442569896725041546522122396947929363680136923242310849599914719862635312192466192667538161357110290624371<279>
prime factors 素因数
3827621100514052031254371461872621<34>
151250879011051825602999051049562006740383941707328942050567553767875734112586915600402506311813332380327147124736855947739619845579157338991801329755414629289083261280675197387640584568080629547922520674260088556468174752763951595940827145366751<246>
factorization results 素因数分解の結果
Run 113 out of 610:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2645101923
Step 1 took 31159ms
Step 2 took 11136ms
********** Factor found in step 2: 3827621100514052031254371461872621
Found prime factor of 34 digits: 3827621100514052031254371461872621
Prime cofactor 151250879011051825602999051049562006740383941707328942050567553767875734112586915600402506311813332380327147124736855947739619845579157338991801329755414629289083261280675197387640584568080629547922520674260088556468174752763951595940827145366751 has 246 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)

32×10297+139

c287

composite cofactor 合成数の残り
75695600221980372636381313646829683657574658757070852632410854788493154386040660394746388757484810083884926557715524381878337956501336870520757057476808256804649630029597595872635007690427220228672652018370940374729066797597713494287193820622711330959157613139293155867092258582989386969<287>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 10, 2022 13:17:27 UTC 2022 年 3 月 10 日 (木) 22 時 17 分 27 秒 (日本時間)

32×10298+139

c264

composite cofactor 合成数の残り
862851268060753359221389970720000098184488075467739820801392795940380766877081545935209598378329618453947004413061202642889903539583864184105481406452734346583922453754445971550659954571975387292517897580459680810706678743779318193327207612173989861698557395478317<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 7, 2022 19:44:21 UTC 2022 年 3 月 8 日 (火) 4 時 44 分 21 秒 (日本時間)

32×10299+139

c272

composite cofactor 合成数の残り
30373313864627347638389155209684050914318471185573985864850107984987891763415766344205489215983462090462204471767734010370134049502266070729972378803228341307701659743899552168896889946504760244833472301814931667857410127952329305147353703608346114547017379441349477222401<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 10, 2022 09:11:11 UTC 2022 年 3 月 10 日 (木) 18 時 11 分 11 秒 (日本時間)

32×10300+139

c283

composite cofactor 合成数の残り
6385871921694754837877416325038732091054790117646490953963445351907928046794181052003507910523065096895924906385332202974303818410835590635282857944037902327759642855774319507983441771412683526418712532887965710287330571578726771200612217476783691446440962075983682276676450622716639<283>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 6, 2017 09:48:58 UTC 2017 年 4 月 6 日 (木) 18 時 48 分 58 秒 (日本時間)
4511e62000Dmitry DomanovApril 11, 2017 14:01:13 UTC 2017 年 4 月 11 日 (火) 23 時 1 分 13 秒 (日本時間)
5043e6640 / 7054Dmitry DomanovApril 13, 2017 10:50:58 UTC 2017 年 4 月 13 日 (木) 19 時 50 分 58 秒 (日本時間)