Table of contents 目次

35×10103-179

c93

name 名前Serge Batalov
date 日付December 7, 2008 09:23:36 UTC 2008 年 12 月 7 日 (日) 18 時 23 分 36 秒 (日本時間)
composite number 合成数
141452302831497507848239580701056914824087857520121014274963999456081757918276165376396169059<93>
prime factors 素因数
202254561854416559848922039163312240405477011<45>
699377564266339266150223417648152119745082832369<48>
factorization results 素因数分解の結果
SNFS difficulty: 104 digits.
Divisors found:
 r1=202254561854416559848922039163312240405477011 (pp45)
 r2=699377564266339266150223417648152119745082832369 (pp48)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.723).
Factorization parameters were as follows:
n: 141452302831497507848239580701056914824087857520121014274963999456081757918276165376396169059
m: 100000000000000000000000000
deg: 4
c4: 7
c0: -34
skew: 1.48
type: snfs
lss: 1
rlim: 390000
alim: 390000
lpbr: 25
lpba: 25
mfbr: 48
mfba: 48
rlambda: 2.2
alambda: 2.2
Factor base limits: 390000/390000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 48/48
Sieved rational special-q in [195000, 235001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 35012 x 35253
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,104,4,0,0,0,0,0,0,0,0,390000,390000,25,25,48,48,2.2,2.2,20000
total time: 0.20 hours.
software ソフトウェア
Msieve-1.39
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 KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)

35×10113-179

c95

name 名前Sinkiti Sibata
date 日付December 7, 2008 22:51:07 UTC 2008 年 12 月 8 日 (月) 7 時 51 分 7 秒 (日本時間)
composite number 合成数
35624528816450942070204177663612725669850609496941878573455438512547059853912180811111425384103<95>
prime factors 素因数
510712342028689440749924324396136884587<39>
69754587631347514921265069039903044640326990855644594869<56>
factorization results 素因数分解の結果
Sun Dec 07 20:48:43 2008  Msieve v. 1.39
Sun Dec 07 20:48:43 2008  random seeds: 9d53de6c 2ca7d064
Sun Dec 07 20:48:43 2008  factoring 35624528816450942070204177663612725669850609496941878573455438512547059853912180811111425384103 (95 digits)
Sun Dec 07 20:48:45 2008  searching for 15-digit factors
Sun Dec 07 20:48:46 2008  commencing quadratic sieve (95-digit input)
Sun Dec 07 20:48:47 2008  using multiplier of 2
Sun Dec 07 20:48:47 2008  using 64kb Pentium 4 sieve core
Sun Dec 07 20:48:47 2008  sieve interval: 18 blocks of size 65536
Sun Dec 07 20:48:47 2008  processing polynomials in batches of 6
Sun Dec 07 20:48:47 2008  using a sieve bound of 2158631 (80000 primes)
Sun Dec 07 20:48:47 2008  using large prime bound of 323794650 (28 bits)
Sun Dec 07 20:48:47 2008  using double large prime bound of 2082022265125500 (43-51 bits)
Sun Dec 07 20:48:47 2008  using trial factoring cutoff of 51 bits
Sun Dec 07 20:48:47 2008  polynomial 'A' values have 12 factors
Mon Dec 08 03:33:54 2008  80284 relations (19242 full + 61042 combined from 1208021 partial), need 80096
Mon Dec 08 03:33:58 2008  begin with 1227263 relations
Mon Dec 08 03:34:00 2008  reduce to 211385 relations in 11 passes
Mon Dec 08 03:34:00 2008  attempting to read 211385 relations
Mon Dec 08 03:34:03 2008  recovered 211385 relations
Mon Dec 08 03:34:03 2008  recovered 196533 polynomials
Mon Dec 08 03:34:03 2008  attempting to build 80284 cycles
Mon Dec 08 03:34:03 2008  found 80284 cycles in 6 passes
Mon Dec 08 03:34:03 2008  distribution of cycle lengths:
Mon Dec 08 03:34:03 2008     length 1 : 19242
Mon Dec 08 03:34:03 2008     length 2 : 13846
Mon Dec 08 03:34:03 2008     length 3 : 13272
Mon Dec 08 03:34:03 2008     length 4 : 10949
Mon Dec 08 03:34:03 2008     length 5 : 8330
Mon Dec 08 03:34:03 2008     length 6 : 5672
Mon Dec 08 03:34:03 2008     length 7 : 3678
Mon Dec 08 03:34:03 2008     length 9+: 5295
Mon Dec 08 03:34:03 2008  largest cycle: 19 relations
Mon Dec 08 03:34:04 2008  matrix is 80000 x 80284 (21.6 MB) with weight 5346435 (66.59/col)
Mon Dec 08 03:34:04 2008  sparse part has weight 5346435 (66.59/col)
Mon Dec 08 03:34:06 2008  filtering completed in 3 passes
Mon Dec 08 03:34:06 2008  matrix is 76631 x 76695 (20.7 MB) with weight 5129508 (66.88/col)
Mon Dec 08 03:34:06 2008  sparse part has weight 5129508 (66.88/col)
Mon Dec 08 03:34:06 2008  saving the first 48 matrix rows for later
Mon Dec 08 03:34:06 2008  matrix is 76583 x 76695 (13.4 MB) with weight 4075545 (53.14/col)
Mon Dec 08 03:34:06 2008  sparse part has weight 3055081 (39.83/col)
Mon Dec 08 03:34:06 2008  matrix includes 64 packed rows
Mon Dec 08 03:34:06 2008  using block size 21845 for processor cache size 512 kB
Mon Dec 08 03:34:08 2008  commencing Lanczos iteration
Mon Dec 08 03:34:08 2008  memory use: 12.7 MB
Mon Dec 08 03:35:14 2008  lanczos halted after 1213 iterations (dim = 76581)
Mon Dec 08 03:35:14 2008  recovered 16 nontrivial dependencies
Mon Dec 08 03:35:17 2008  prp39 factor: 510712342028689440749924324396136884587
Mon Dec 08 03:35:17 2008  prp56 factor: 69754587631347514921265069039903044640326990855644594869
Mon Dec 08 03:35:17 2008  elapsed time 06:46:34

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)

35×10114-179

c115

name 名前Sinkiti Sibata
date 日付December 7, 2008 11:55:22 UTC 2008 年 12 月 7 日 (日) 20 時 55 分 22 秒 (日本時間)
composite number 合成数
3888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<115>
prime factors 素因数
4110160586637253424951061483322223671294257236029<49>
946164707416116073991311909742053789197323995598219236310578275203<66>
factorization results 素因数分解の結果
Number: 38887_114
N=3888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
  ( 115 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=4110160586637253424951061483322223671294257236029
 r2=946164707416116073991311909742053789197323995598219236310578275203
Version: 
Total time: 0.88 hours.
Scaled time: 2.25 units (timescale=2.554).
Factorization parameters were as follows:
name: 38887_114
n: 3888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
m: 100000000000000000000000
deg: 5
c5: 7
c0: -34
skew: 1.37
type: snfs
lss: 1
rlim: 600000
alim: 600000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [300000, 450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 60810 x 61046
Total sieving time: 0.88 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,115,5,0,0,0,0,0,0,0,0,600000,600000,25,25,45,45,2.2,2.2,50000
total time: 0.88 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)

35×10122-179

c107

name 名前Serge Batalov
date 日付December 7, 2008 10:33:03 UTC 2008 年 12 月 7 日 (日) 19 時 33 分 3 秒 (日本時間)
composite number 合成数
20257599602482147603370790428086817735513085831236870307396235699167569456996686633362298322208972410145019<107>
prime factors 素因数
1127206542851648414760167029508360310343210538429<49>
17971506403106683410565933523865358418769645819039526418711<59>
factorization results 素因数分解の結果
SNFS difficulty: 124 digits.
Divisors found:
 r1=1127206542851648414760167029508360310343210538429 (pp49)
 r2=17971506403106683410565933523865358418769645819039526418711 (pp59)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.724).
Factorization parameters were as follows:
n: 20257599602482147603370790428086817735513085831236870307396235699167569456996686633362298322208972410145019
m: 5000000000000000000000000
deg: 5
c5: 28
c0: -425
skew: 1.72
type: snfs
lss: 1
rlim: 850000
alim: 850000
lpbr: 25
lpba: 25
mfbr: 48
mfba: 48
rlambda: 2.2
alambda: 2.2
Factor base limits: 850000/850000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 48/48
Sieved rational special-q in [425000, 775001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 99712 x 99953
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,124,5,0,0,0,0,0,0,0,0,850000,850000,25,25,48,48,2.2,2.2,50000
total time: 1.10 hours.
software ソフトウェア
Msieve-1.39
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 KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)

35×10123-179

c91

name 名前Sinkiti Sibata
date 日付December 7, 2008 12:43:34 UTC 2008 年 12 月 7 日 (日) 21 時 43 分 34 秒 (日本時間)
composite number 合成数
9200324613653778810285796898822436094804743580470879018126211975558105040781619379584430449<91>
prime factors 素因数
11000509236102085663313836629757193677<38>
836354428344066072261132208793124499586090114853277237<54>
factorization results 素因数分解の結果
Sun Dec 07 20:37:42 2008  Msieve v. 1.39
Sun Dec 07 20:37:42 2008  random seeds: 812bc180 6e8de99a
Sun Dec 07 20:37:42 2008  factoring 9200324613653778810285796898822436094804743580470879018126211975558105040781619379584430449 (91 digits)
Sun Dec 07 20:37:43 2008  searching for 15-digit factors
Sun Dec 07 20:37:44 2008  commencing quadratic sieve (91-digit input)
Sun Dec 07 20:37:44 2008  using multiplier of 1
Sun Dec 07 20:37:44 2008  using 32kb Intel Core sieve core
Sun Dec 07 20:37:44 2008  sieve interval: 36 blocks of size 32768
Sun Dec 07 20:37:44 2008  processing polynomials in batches of 6
Sun Dec 07 20:37:44 2008  using a sieve bound of 1748993 (65882 primes)
Sun Dec 07 20:37:44 2008  using large prime bound of 176648293 (27 bits)
Sun Dec 07 20:37:44 2008  using double large prime bound of 699514874899490 (42-50 bits)
Sun Dec 07 20:37:44 2008  using trial factoring cutoff of 50 bits
Sun Dec 07 20:37:44 2008  polynomial 'A' values have 12 factors
Sun Dec 07 21:34:58 2008  66992 relations (19108 full + 47884 combined from 769023 partial), need 65978
Sun Dec 07 21:34:59 2008  begin with 788131 relations
Sun Dec 07 21:35:00 2008  reduce to 159524 relations in 11 passes
Sun Dec 07 21:35:00 2008  attempting to read 159524 relations
Sun Dec 07 21:35:02 2008  recovered 159524 relations
Sun Dec 07 21:35:02 2008  recovered 122737 polynomials
Sun Dec 07 21:35:02 2008  attempting to build 66992 cycles
Sun Dec 07 21:35:02 2008  found 66992 cycles in 5 passes
Sun Dec 07 21:35:02 2008  distribution of cycle lengths:
Sun Dec 07 21:35:02 2008     length 1 : 19108
Sun Dec 07 21:35:02 2008     length 2 : 13518
Sun Dec 07 21:35:02 2008     length 3 : 11776
Sun Dec 07 21:35:02 2008     length 4 : 8599
Sun Dec 07 21:35:02 2008     length 5 : 5743
Sun Dec 07 21:35:02 2008     length 6 : 3648
Sun Dec 07 21:35:02 2008     length 7 : 2110
Sun Dec 07 21:35:02 2008     length 9+: 2490
Sun Dec 07 21:35:02 2008  largest cycle: 18 relations
Sun Dec 07 21:35:03 2008  matrix is 65882 x 66992 (15.8 MB) with weight 3873042 (57.81/col)
Sun Dec 07 21:35:03 2008  sparse part has weight 3873042 (57.81/col)
Sun Dec 07 21:35:04 2008  filtering completed in 4 passes
Sun Dec 07 21:35:04 2008  matrix is 60137 x 60201 (14.1 MB) with weight 3450170 (57.31/col)
Sun Dec 07 21:35:04 2008  sparse part has weight 3450170 (57.31/col)
Sun Dec 07 21:35:04 2008  saving the first 48 matrix rows for later
Sun Dec 07 21:35:04 2008  matrix is 60089 x 60201 (8.5 MB) with weight 2622071 (43.56/col)
Sun Dec 07 21:35:04 2008  sparse part has weight 1870073 (31.06/col)
Sun Dec 07 21:35:04 2008  matrix includes 64 packed rows
Sun Dec 07 21:35:04 2008  using block size 24080 for processor cache size 1024 kB
Sun Dec 07 21:35:04 2008  commencing Lanczos iteration
Sun Dec 07 21:35:04 2008  memory use: 8.6 MB
Sun Dec 07 21:35:24 2008  lanczos halted after 952 iterations (dim = 60088)
Sun Dec 07 21:35:25 2008  recovered 16 nontrivial dependencies
Sun Dec 07 21:35:28 2008  prp38 factor: 11000509236102085663313836629757193677
Sun Dec 07 21:35:28 2008  prp54 factor: 836354428344066072261132208793124499586090114853277237
Sun Dec 07 21:35:28 2008  elapsed time 00:57:46

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)

35×10127-179

c114

name 名前Sinkiti Sibata
date 日付December 7, 2008 15:02:01 UTC 2008 年 12 月 8 日 (月) 0 時 2 分 1 秒 (日本時間)
composite number 合成数
637189642996563245953103567105248123427011935586142479971519211497758129098842890558651615968037793670342418720609<114>
prime factors 素因数
390752729727494409677256101481138223351378730947<48>
1630672275638178028977091023427467641772116201128430345768992206347<67>
factorization results 素因数分解の結果
Number: 38887_127
N=637189642996563245953103567105248123427011935586142479971519211497758129098842890558651615968037793670342418720609
  ( 114 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=390752729727494409677256101481138223351378730947 (pp48)
 r2=1630672275638178028977091023427467641772116201128430345768992206347 (pp67)
Version: 
Total time: 2.68 hours.
Scaled time: 6.87 units (timescale=2.564).
Factorization parameters were as follows:
name: 38887_127
n: 637189642996563245953103567105248123427011935586142479971519211497758129098842890558651615968037793670342418720609
m: 50000000000000000000000000
deg: 5
c5: 28
c0: -425
skew: 1.72
type: snfs
lss: 1
rlim: 1030000
alim: 1030000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1030000/1030000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [515000, 915001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 137200 x 137448
Total sieving time: 2.68 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,129,5,0,0,0,0,0,0,0,0,1030000,1030000,26,26,47,47,2.3,2.3,50000
total time: 2.68 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 KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)

35×10128-179

c96

name 名前Sinkiti Sibata
date 日付December 8, 2008 04:56:13 UTC 2008 年 12 月 8 日 (月) 13 時 56 分 13 秒 (日本時間)
composite number 合成数
469485491995361715464158650599678862392194433114786077454834953798678154555724651083604368560411<96>
prime factors 素因数
614114184448342236450430905615224850081743454187<48>
764492180582182386904576547379784128078297585553<48>
factorization results 素因数分解の結果
Mon Dec 08 06:06:03 2008  Msieve v. 1.39
Mon Dec 08 06:06:03 2008  random seeds: 44322e90 aab5a9bf
Mon Dec 08 06:06:03 2008  factoring 469485491995361715464158650599678862392194433114786077454834953798678154555724651083604368560411 (96 digits)
Mon Dec 08 06:06:04 2008  searching for 15-digit factors
Mon Dec 08 06:06:05 2008  commencing quadratic sieve (96-digit input)
Mon Dec 08 06:06:05 2008  using multiplier of 1
Mon Dec 08 06:06:05 2008  using 32kb Intel Core sieve core
Mon Dec 08 06:06:05 2008  sieve interval: 36 blocks of size 32768
Mon Dec 08 06:06:05 2008  processing polynomials in batches of 6
Mon Dec 08 06:06:05 2008  using a sieve bound of 2258279 (83529 primes)
Mon Dec 08 06:06:05 2008  using large prime bound of 338741850 (28 bits)
Mon Dec 08 06:06:05 2008  using double large prime bound of 2258207977125450 (43-52 bits)
Mon Dec 08 06:06:05 2008  using trial factoring cutoff of 52 bits
Mon Dec 08 06:06:05 2008  polynomial 'A' values have 12 factors
Mon Dec 08 10:51:26 2008  83650 relations (19810 full + 63840 combined from 1265744 partial), need 83625
Mon Dec 08 10:51:28 2008  begin with 1285554 relations
Mon Dec 08 10:51:29 2008  reduce to 220757 relations in 10 passes
Mon Dec 08 10:51:29 2008  attempting to read 220757 relations
Mon Dec 08 10:51:32 2008  recovered 220757 relations
Mon Dec 08 10:51:32 2008  recovered 206454 polynomials
Mon Dec 08 10:51:32 2008  attempting to build 83650 cycles
Mon Dec 08 10:51:32 2008  found 83650 cycles in 6 passes
Mon Dec 08 10:51:32 2008  distribution of cycle lengths:
Mon Dec 08 10:51:32 2008     length 1 : 19810
Mon Dec 08 10:51:33 2008     length 2 : 14243
Mon Dec 08 10:51:33 2008     length 3 : 14030
Mon Dec 08 10:51:33 2008     length 4 : 11306
Mon Dec 08 10:51:33 2008     length 5 : 8908
Mon Dec 08 10:51:33 2008     length 6 : 6070
Mon Dec 08 10:51:33 2008     length 7 : 3862
Mon Dec 08 10:51:33 2008     length 9+: 5421
Mon Dec 08 10:51:33 2008  largest cycle: 21 relations
Mon Dec 08 10:51:33 2008  matrix is 83529 x 83650 (23.4 MB) with weight 5791731 (69.24/col)
Mon Dec 08 10:51:33 2008  sparse part has weight 5791731 (69.24/col)
Mon Dec 08 10:51:34 2008  filtering completed in 3 passes
Mon Dec 08 10:51:34 2008  matrix is 80003 x 80067 (22.5 MB) with weight 5587408 (69.78/col)
Mon Dec 08 10:51:34 2008  sparse part has weight 5587408 (69.78/col)
Mon Dec 08 10:51:34 2008  saving the first 48 matrix rows for later
Mon Dec 08 10:51:34 2008  matrix is 79955 x 80067 (16.1 MB) with weight 4638087 (57.93/col)
Mon Dec 08 10:51:34 2008  sparse part has weight 3734057 (46.64/col)
Mon Dec 08 10:51:34 2008  matrix includes 64 packed rows
Mon Dec 08 10:51:34 2008  using block size 32026 for processor cache size 1024 kB
Mon Dec 08 10:51:35 2008  commencing Lanczos iteration
Mon Dec 08 10:51:35 2008  memory use: 14.4 MB
Mon Dec 08 10:52:21 2008  lanczos halted after 1266 iterations (dim = 79955)
Mon Dec 08 10:52:22 2008  recovered 18 nontrivial dependencies
Mon Dec 08 10:52:22 2008  prp48 factor: 614114184448342236450430905615224850081743454187
Mon Dec 08 10:52:22 2008  prp48 factor: 764492180582182386904576547379784128078297585553
Mon Dec 08 10:52:22 2008  elapsed time 04:46:19

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)

35×10130-179

c121

name 名前Jo Yeong Uk
date 日付December 7, 2008 22:36:33 UTC 2008 年 12 月 8 日 (月) 7 時 36 分 33 秒 (日本時間)
composite number 合成数
7535968113827908337130239897584722312102906490692631968995615240726178304140148339589240934436247096730415908026327881181<121>
prime factors 素因数
127277577316998781516401903357718924380855137<45>
59208921733784673577031498471236697681202219803320125271724133270956593801213<77>
factorization results 素因数分解の結果
Number: 38887_130
N=7535968113827908337130239897584722312102906490692631968995615240726178304140148339589240934436247096730415908026327881181
  ( 121 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=127277577316998781516401903357718924380855137 (pp45)
 r2=59208921733784673577031498471236697681202219803320125271724133270956593801213 (pp77)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.96 hours.
Scaled time: 4.69 units (timescale=2.390).
Factorization parameters were as follows:
n: 7535968113827908337130239897584722312102906490692631968995615240726178304140148339589240934436247096730415908026327881181
m: 100000000000000000000000000
deg: 5
c5: 35
c0: -17
skew: 0.87
type: snfs
lss: 1
rlim: 1100000
alim: 1100000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1100000/1100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [550000, 950001)
Primes: RFBsize:85714, AFBsize:85279, largePrimes:2780587 encountered
Relations: rels:2677317, finalFF:215170
Max relations in full relation-set: 28
Initial matrix: 171059 x 215170 with sparse part having weight 16356712.
Pruned matrix : 154672 x 155591 with weight 9196114.
Total sieving time: 1.85 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1100000,1100000,26,26,47,47,2.3,2.3,50000
total time: 1.96 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: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5497.76 BogoMIPS (lpj=2748880)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
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 KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)

35×10132-179

c86

name 名前Sinkiti Sibata
date 日付December 7, 2008 14:21:44 UTC 2008 年 12 月 7 日 (日) 23 時 21 分 44 秒 (日本時間)
composite number 合成数
14565212083913576636674787221762602499347453906972766910220957675632824256961477477911<86>
prime factors 素因数
2618098890081871199911145483496466417<37>
5563278048469018825873033722128510859501955470983<49>
factorization results 素因数分解の結果
Sun Dec 07 17:50:29 2008  Msieve v. 1.38
Sun Dec 07 17:50:29 2008  random seeds: 53c431d4 fec442a7
Sun Dec 07 17:50:29 2008  factoring 14565212083913576636674787221762602499347453906972766910220957675632824256961477477911 (86 digits)
Sun Dec 07 17:50:32 2008  searching for 15-digit factors
Sun Dec 07 17:50:37 2008  commencing quadratic sieve (86-digit input)
Sun Dec 07 17:50:38 2008  using multiplier of 11
Sun Dec 07 17:50:38 2008  using 64kb Pentium 2 sieve core
Sun Dec 07 17:50:38 2008  sieve interval: 6 blocks of size 65536
Sun Dec 07 17:50:38 2008  processing polynomials in batches of 17
Sun Dec 07 17:50:38 2008  using a sieve bound of 1438057 (55000 primes)
Sun Dec 07 17:50:38 2008  using large prime bound of 115044560 (26 bits)
Sun Dec 07 17:50:38 2008  using double large prime bound of 323265089678720 (41-49 bits)
Sun Dec 07 17:50:38 2008  using trial factoring cutoff of 49 bits
Sun Dec 07 17:50:38 2008  polynomial 'A' values have 11 factors
Sun Dec 07 22:58:04 2008  55301 relations (15869 full + 39432 combined from 573043 partial), need 55096
Sun Dec 07 22:58:09 2008  begin with 588912 relations
Sun Dec 07 22:58:10 2008  reduce to 130015 relations in 9 passes
Sun Dec 07 22:58:10 2008  attempting to read 130015 relations
Sun Dec 07 22:58:16 2008  recovered 130015 relations
Sun Dec 07 22:58:16 2008  recovered 112568 polynomials
Sun Dec 07 22:58:17 2008  attempting to build 55301 cycles
Sun Dec 07 22:58:17 2008  found 55301 cycles in 5 passes
Sun Dec 07 22:58:20 2008  distribution of cycle lengths:
Sun Dec 07 22:58:20 2008     length 1 : 15869
Sun Dec 07 22:58:20 2008     length 2 : 11102
Sun Dec 07 22:58:20 2008     length 3 : 9828
Sun Dec 07 22:58:20 2008     length 4 : 7335
Sun Dec 07 22:58:20 2008     length 5 : 4744
Sun Dec 07 22:58:20 2008     length 6 : 2982
Sun Dec 07 22:58:20 2008     length 7 : 1670
Sun Dec 07 22:58:20 2008     length 9+: 1771
Sun Dec 07 22:58:20 2008  largest cycle: 19 relations
Sun Dec 07 22:58:21 2008  matrix is 55000 x 55301 (12.5 MB) with weight 3043221 (55.03/col)
Sun Dec 07 22:58:21 2008  sparse part has weight 3043221 (55.03/col)
Sun Dec 07 22:58:25 2008  filtering completed in 3 passes
Sun Dec 07 22:58:25 2008  matrix is 49878 x 49941 (11.3 MB) with weight 2772025 (55.51/col)
Sun Dec 07 22:58:26 2008  sparse part has weight 2772025 (55.51/col)
Sun Dec 07 22:58:28 2008  saving the first 48 matrix rows for later
Sun Dec 07 22:58:28 2008  matrix is 49830 x 49941 (7.3 MB) with weight 2195446 (43.96/col)
Sun Dec 07 22:58:28 2008  sparse part has weight 1610296 (32.24/col)
Sun Dec 07 22:58:28 2008  matrix includes 64 packed rows
Sun Dec 07 22:58:28 2008  using block size 5461 for processor cache size 128 kB
Sun Dec 07 22:58:29 2008  commencing Lanczos iteration
Sun Dec 07 22:58:29 2008  memory use: 7.3 MB
Sun Dec 07 23:00:40 2008  lanczos halted after 789 iterations (dim = 49826)
Sun Dec 07 23:00:41 2008  recovered 15 nontrivial dependencies
Sun Dec 07 23:00:44 2008  prp37 factor: 2618098890081871199911145483496466417
Sun Dec 07 23:00:44 2008  prp49 factor: 5563278048469018825873033722128510859501955470983
Sun Dec 07 23:00:44 2008  elapsed time 05:10:15

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)

35×10134-179

c135

name 名前Erik Branger
date 日付December 7, 2008 14:29:53 UTC 2008 年 12 月 7 日 (日) 23 時 29 分 53 秒 (日本時間)
composite number 合成数
129629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629<135>
prime factors 素因数
969728384217945564797275207754143001546059800826738657962986323<63>
133676224950527476034793786904878991749286703030637898637843016107605423<72>
factorization results 素因数分解の結果
Number: 38887_134
N=129629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629
  ( 135 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=969728384217945564797275207754143001546059800826738657962986323
 r2=133676224950527476034793786904878991749286703030637898637843016107605423
Version: 
Total time: 5.12 hours.
Scaled time: 10.84 units (timescale=2.116).
Factorization parameters were as follows:
n: 129629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629
m: 1000000000000000000000000000
deg: 5
c5: 7
c0: -34
skew: 1.37
type: snfs
lss: 1
rlim: 1290000
alim: 1290000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1290000/1290000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [645000, 1170001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 169326 x 169574
Total sieving time: 5.12 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,135,5,0,0,0,0,0,0,0,0,1290000,1290000,26,26,47,47,2.3,2.3,75000
total time: 5.12 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)

35×10138-179

c124

name 名前Sinkiti Sibata
date 日付December 8, 2008 09:13:47 UTC 2008 年 12 月 8 日 (月) 18 時 13 分 47 秒 (日本時間)
composite number 合成数
1338284454815058216196354013354479303825956017779159462864869199752050231785163301790065223124319268085524058511255518851691<124>
prime factors 素因数
38057395340621219550760269513883685643294306836546403397<56>
35164898775576928212777153301681488449949331239308314024794822219503<68>
factorization results 素因数分解の結果
Number: 38887_138
N=1338284454815058216196354013354479303825956017779159462864869199752050231785163301790065223124319268085524058511255518851691
  ( 124 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=38057395340621219550760269513883685643294306836546403397 (prp56)
 r2=35164898775576928212777153301681488449949331239308314024794822219503 (prp68)
Version: 
Total time: 5.90 hours.
Scaled time: 15.19 units (timescale=2.575).
Factorization parameters were as follows:
name:38887_138
n: 1338284454815058216196354013354479303825956017779159462864869199752050231785163301790065223124319268085524058511255518851691
m: 5000000000000000000000000000
deg: 5
c5: 56
c0: -85
skew: 1.09
type: snfs
lss: 1
rlim: 1520000
alim: 1520000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1520000/1520000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [760000, 1585001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 251726 x 251974
Total sieving time: 5.90 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,140,5,0,0,0,0,0,0,0,0,1520000,1520000,26,26,48,48,2.3,2.3,75000
total time: 5.90 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 KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)

35×10139-179

c96

name 名前Serge Batalov
date 日付December 7, 2008 08:38:01 UTC 2008 年 12 月 7 日 (日) 17 時 38 分 1 秒 (日本時間)
composite number 合成数
290952731813125548164858856686331792365791720013575980768588003525700174056235205666576862607147<96>
prime factors 素因数
1234471249886739306632069758085923<34>
235690164383998395752830997318697209446208726758860398731520089<63>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1486614879
Step 1 took 6831ms
Step 2 took 4506ms
********** Factor found in step 2: 1234471249886739306632069758085923
Found probable prime factor of 34 digits: 1234471249886739306632069758085923
Probable prime cofactor 235690164383998395752830997318697209446208726758860398731520089 has 63 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 KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)

35×10141-179

c109

name 名前Sinkiti Sibata
date 日付December 8, 2008 09:17:10 UTC 2008 年 12 月 8 日 (月) 18 時 17 分 10 秒 (日本時間)
composite number 合成数
4248373955520665359043123124769657924122696491420890193547031337963357606208311364487248645291710324866499951<109>
prime factors 素因数
73820734517195491206986826554621892806273334976028047<53>
57549873803153056003497272592233619822725268242612595233<56>
factorization results 素因数分解の結果
Number: 38887_141
N=4248373955520665359043123124769657924122696491420890193547031337963357606208311364487248645291710324866499951
  ( 109 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=73820734517195491206986826554621892806273334976028047 (prp 53)
 r2=57549873803153056003497272592233619822725268242612595233 (prp 56)
Version: 
Total time: 8.16 hours.
Scaled time: 20.91 units (timescale=2.564).
Factorization parameters were as follows:
name: 38887_141
n: 4248373955520665359043123124769657924122696491420890193547031337963357606208311364487248645291710324866499951
m: 20000000000000000000000000000
deg: 5
c5: 175
c0: -272
skew: 1.09
type: snfs
lss: 1
rlim: 1740000
alim: 1740000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1740000/1740000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [870000, 1970001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 264690 x 264938
Total sieving time: 8.16 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,143,5,0,0,0,0,0,0,0,0,1740000,1740000,26,26,48,48,2.3,2.3,100000
total time: 8.16 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 KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)

35×10142-179

c110

name 名前Robert Backstrom
date 日付December 8, 2008 16:25:49 UTC 2008 年 12 月 9 日 (火) 1 時 25 分 49 秒 (日本時間)
composite number 合成数
25817295055854654959004012619776998646132580075897349544869694038625052469240774647237550816394496410471717049<110>
prime factors 素因数
226680845566547999740279589713872828602549663480669<51>
113892706687805799382922156923032816068749972971507800267021<60>
factorization results 素因数分解の結果
Number: n
N=25817295055854654959004012619776998646132580075897349544869694038625052469240774647237550816394496410471717049
  ( 110 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=226680845566547999740279589713872828602549663480669 (pp51)
 r2=113892706687805799382922156923032816068749972971507800267021 (pp60)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 6.50 hours.
Scaled time: 11.85 units (timescale=1.824).
Factorization parameters were as follows:
name: KA_3_8_141_7
n: 25817295055854654959004012619776998646132580075897349544869694038625052469240774647237550816394496410471717049
type: snfs
skew: 1.72
deg: 5
c5: 28
c0: -425
m: 50000000000000000000000000000
rlim: 1400000
alim: 1400000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [100000, 1150001)
Primes: RFBsize:107126, AFBsize:106958, largePrimes:9584465 encountered
Relations: rels:8444842, finalFF:240314
Max relations in full relation-set: 48
Initial matrix: 214151 x 240314 with sparse part having weight 34092867.
Pruned matrix : 207603 x 208737 with weight 25906468.
Total sieving time: 5.70 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.46 hours.
Total square root time: 0.16 hours, sqrts: 4.
Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,1400000,1400000,28,28,56,56,2.5,2.5,100000
total time: 6.50 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 KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)

35×10144-179

c125

name 名前Sinkiti Sibata
date 日付December 7, 2008 23:37:17 UTC 2008 年 12 月 8 日 (月) 8 時 37 分 17 秒 (日本時間)
composite number 合成数
96103587771010081120816982038935197024462227340896770922811350265604804162609970300269923694765800293325172370070865890236451<125>
prime factors 素因数
21426550966873432966355113684930427555362915856005664850821<59>
4485257002846199926844351970859416404519415299681016964991792241031<67>
factorization results 素因数分解の結果
Number: 38887_144
N=96103587771010081120816982038935197024462227340896770922811350265604804162609970300269923694765800293325172370070865890236451
  ( 125 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=21426550966873432966355113684930427555362915856005664850821 (pp59)
 r2=4485257002846199926844351970859416404519415299681016964991792241031 (pp67)
Version: 
Total time: 7.82 hours.
Scaled time: 20.06 units (timescale=2.564).
Factorization parameters were as follows:
name: 38887_144
n: 96103587771010081120816982038935197024462227340896770922811350265604804162609970300269923694765800293325172370070865890236451
m: 100000000000000000000000000000
deg: 5
c5: 7
c0: -34
skew: 1.37
type: snfs
lss: 1
rlim: 1890000
alim: 1890000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1890000/1890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [945000, 1945001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 308413 x 308661
Total sieving time: 7.82 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,145,5,0,0,0,0,0,0,0,0,1890000,1890000,26,26,49,49,2.3,2.3,100000
total time: 7.82 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 KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)

35×10151-179

c129

name 名前Sinkiti Sibata
date 日付December 9, 2008 06:12:03 UTC 2008 年 12 月 9 日 (火) 15 時 12 分 3 秒 (日本時間)
composite number 合成数
251535146027178326982950809546578110289828500616900011712244631703787557941136548834954935449597346585500550412166434897007623693<129>
prime factors 素因数
118123717349038913397400950983195020461774566916898370759<57>
2129421183757089787810934958106849683297394566265161960072723588038834827<73>
factorization results 素因数分解の結果
Number: 38887_151
N=251535146027178326982950809546578110289828500616900011712244631703787557941136548834954935449597346585500550412166434897007623693
  ( 129 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=118123717349038913397400950983195020461774566916898370759 (prp 57)
 r2=2129421183757089787810934958106849683297394566265161960072723588038834827 (prp  73)
Version: 
Total time: 18.97 hours.
Scaled time: 48.86 units (timescale=2.575).
Factorization parameters were as follows:
name: 38887_151
n: 251535146027178326982950809546578110289828500616900011712244631703787557941136548834954935449597346585500550412166434897007623693
m: 2000000000000000000000000000000
deg: 5
c5: 175
c0: -272
skew: 1.09
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 416757 x 417005
Total sieving time: 18.97 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,153,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 18.97 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 KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)

35×10152-179

c124

name 名前Sinkiti Sibata
date 日付December 9, 2008 06:14:54 UTC 2008 年 12 月 9 日 (火) 15 時 14 分 54 秒 (日本時間)
composite number 合成数
4007260761886112998004137793495368715983783239142951653462846839189446808093663647938802239278248752261124422355781433096601<124>
prime factors 素因数
42240598854390378377688655800680354702163772637296451470451<59>
94867517757021778096754297616255666172836797900280601682198483651<65>
factorization results 素因数分解の結果
Number: 38887_152
N=4007260761886112998004137793495368715983783239142951653462846839189446808093663647938802239278248752261124422355781433096601
  ( 124 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=42240598854390378377688655800680354702163772637296451470451 (prp 59)
 r2=94867517757021778096754297616255666172836797900280601682198483651 (prp 65)
Version: 
Total time: 19.04 hours.
Scaled time: 48.82 units (timescale=2.564).
Factorization parameters were as follows:
name: 38887_152
n: 4007260761886112998004137793495368715983783239142951653462846839189446808093663647938802239278248752261124422355781433096601
m: 5000000000000000000000000000000
deg: 5
c5: 28
c0: -425
skew: 1.72
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
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 : 521934 x 522182
Total sieving time: 19.04 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,154,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 19.04 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 KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)

35×10156-179

c145

name 名前Serge Batalov
date 日付December 7, 2008 11:33:15 UTC 2008 年 12 月 7 日 (日) 20 時 33 分 15 秒 (日本時間)
composite number 合成数
3523087143233103387473230397225662597196822520543343616906864594451877074459038603460516395228820202605006927201467154433844722295598933919867499<145>
prime factors 素因数
1859651820102671746966417186881408253<37>
composite cofactor 合成数の残り
1894487508440474112716213669780549012421849506804151246935164488038515303188473619404856596787335933634952583<109>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3652731674
Step 1 took 9300ms
Step 2 took 4985ms
********** Factor found in step 2: 1859651820102671746966417186881408253
Found probable prime factor of 37 digits: 1859651820102671746966417186881408253
Composite cofactor has 109 digits
software ソフトウェア
GMP-ECM 6.2.1

c109

name 名前Sinkiti Sibata
date 日付December 9, 2008 12:25:33 UTC 2008 年 12 月 9 日 (火) 21 時 25 分 33 秒 (日本時間)
composite number 合成数
1894487508440474112716213669780549012421849506804151246935164488038515303188473619404856596787335933634952583<109>
prime factors 素因数
1076928618506846748863383858027045833094779104071139<52>
1759157919925246744872768718883007727648687170851865993997<58>
factorization results 素因数分解の結果
Number: 38887_156
N=1894487508440474112716213669780549012421849506804151246935164488038515303188473619404856596787335933634952583
  ( 109 digits)
Divisors found:
 r1=1076928618506846748863383858027045833094779104071139 (pp52)
 r2=1759157919925246744872768718883007727648687170851865993997 (pp58)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 25.17 hours.
Scaled time: 11.91 units (timescale=0.473).
Factorization parameters were as follows:
name: 38887_156
n: 1894487508440474112716213669780549012421849506804151246935164488038515303188473619404856596787335933634952583
skew: 44524.45
# norm 3.17e+15
c5: 10320
c4: 2068196878
c3: -65703351504663
c2: -745065446135219667
c1: 75575430184751883893503
c0: -677900066464869477272057091
# alpha -7.08
Y1: 258066449773
Y0: -712452811785165984766
# Murphy_E 1.22e-09
# M 409044238670812684725748569170621213081722672516267442206910112806419631766964042691786034651274577905956326
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2700001)
Primes: RFBsize:230209, AFBsize:230882, largePrimes:7115195 encountered
Relations: rels:6825408, finalFF:526305
Max relations in full relation-set: 28
Initial matrix: 461173 x 526305 with sparse part having weight 38038048.
Pruned matrix : 405124 x 407493 with weight 24200477.
Polynomial selection time: 1.37 hours.
Total sieving time: 17.86 hours.
Total relation processing time: 0.49 hours.
Matrix solve time: 5.16 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 25.17 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 3.06GHz, 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 KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)

35×10157-179

c114

name 名前Serge Batalov
date 日付December 7, 2008 11:35:10 UTC 2008 年 12 月 7 日 (日) 20 時 35 分 10 秒 (日本時間)
composite number 合成数
359844956869629904932216947369825091057304715502756822702564605671183883799460009917571383624617805003517135593191<114>
prime factors 素因数
951140256289141598794249013986046916487726837<45>
378330066980404354259155145077482265252602731240864591664915709201643<69>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2131351972
Step 1 took 8217ms
Step 2 took 5288ms
********** Factor found in step 2: 951140256289141598794249013986046916487726837
Found probable prime factor of 45 digits: 951140256289141598794249013986046916487726837
Probable prime cofactor 378330066980404354259155145077482265252602731240864591664915709201643 has 69 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 KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)

35×10159-179

c146

name 名前Serge Batalov
date 日付December 8, 2008 20:14:23 UTC 2008 年 12 月 9 日 (火) 5 時 14 分 23 秒 (日本時間)
composite number 合成数
24714045752811968491542850976384650377766399465017040896140429801589203784478666528272728610806543632806391272680689057714714781765469735273001427<146>
prime factors 素因数
900723308910475183047680333245858277<36>
93911989316878837694411058288113772487947233<44>
292167163732202035035400549617558221929515408022408002322526037047<66>
factorization results 素因数分解の結果
SNFS difficulty: 160 digits.
Divisors found:
 r1=900723308910475183047680333245858277 (pp36)
 r2=93911989316878837694411058288113772487947233 (pp44)
 r3=292167163732202035035400549617558221929515408022408002322526037047 (pp66)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.951).
Factorization parameters were as follows:
n: 24714045752811968491542850976384650377766399465017040896140429801589203784478666528272728610806543632806391272680689057714714781765469735273001427
m: 100000000000000000000000000000000
deg: 5
c5: 7
c0: -34
skew: 1.37
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 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 : 556589 x 556837
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,160,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,52,52,2.4,2.4,200000
total time: 20.00 hours.
software ソフトウェア
Msieve-1.39
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 KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)

35×10161-179

c90

name 名前Sinkiti Sibata
date 日付December 7, 2008 11:36:05 UTC 2008 年 12 月 7 日 (日) 20 時 36 分 5 秒 (日本時間)
composite number 合成数
532229516923452263105571093994631719385926239719641669143819829745142516262461505306329769<90>
prime factors 素因数
28742297975313337803187625016407<32>
18517291741272127549515342256010461522539595944240811661567<59>
factorization results 素因数分解の結果
Sun Dec 07 18:48:52 2008  Msieve v. 1.39
Sun Dec 07 18:48:52 2008  random seeds: 798680a8 b317973b
Sun Dec 07 18:48:52 2008  factoring 532229516923452263105571093994631719385926239719641669143819829745142516262461505306329769 (90 digits)
Sun Dec 07 18:48:53 2008  searching for 15-digit factors
Sun Dec 07 18:48:54 2008  commencing quadratic sieve (90-digit input)
Sun Dec 07 18:48:54 2008  using multiplier of 1
Sun Dec 07 18:48:54 2008  using 32kb Intel Core sieve core
Sun Dec 07 18:48:54 2008  sieve interval: 36 blocks of size 32768
Sun Dec 07 18:48:54 2008  processing polynomials in batches of 6
Sun Dec 07 18:48:54 2008  using a sieve bound of 1617079 (61176 primes)
Sun Dec 07 18:48:54 2008  using large prime bound of 135834636 (27 bits)
Sun Dec 07 18:48:54 2008  using double large prime bound of 435932059795260 (42-49 bits)
Sun Dec 07 18:48:54 2008  using trial factoring cutoff of 49 bits
Sun Dec 07 18:48:54 2008  polynomial 'A' values have 11 factors
Sun Dec 07 20:08:01 2008  61571 relations (16101 full + 45470 combined from 671969 partial), need 61272
Sun Dec 07 20:08:02 2008  begin with 688070 relations
Sun Dec 07 20:08:03 2008  reduce to 151577 relations in 10 passes
Sun Dec 07 20:08:03 2008  attempting to read 151577 relations
Sun Dec 07 20:08:05 2008  recovered 151577 relations
Sun Dec 07 20:08:05 2008  recovered 129782 polynomials
Sun Dec 07 20:08:05 2008  attempting to build 61571 cycles
Sun Dec 07 20:08:05 2008  found 61571 cycles in 5 passes
Sun Dec 07 20:08:05 2008  distribution of cycle lengths:
Sun Dec 07 20:08:05 2008     length 1 : 16101
Sun Dec 07 20:08:05 2008     length 2 : 11543
Sun Dec 07 20:08:05 2008     length 3 : 10855
Sun Dec 07 20:08:05 2008     length 4 : 8134
Sun Dec 07 20:08:05 2008     length 5 : 5893
Sun Dec 07 20:08:05 2008     length 6 : 3892
Sun Dec 07 20:08:05 2008     length 7 : 2429
Sun Dec 07 20:08:05 2008     length 9+: 2724
Sun Dec 07 20:08:05 2008  largest cycle: 16 relations
Sun Dec 07 20:08:05 2008  matrix is 61176 x 61571 (15.3 MB) with weight 3752165 (60.94/col)
Sun Dec 07 20:08:05 2008  sparse part has weight 3752165 (60.94/col)
Sun Dec 07 20:08:06 2008  filtering completed in 3 passes
Sun Dec 07 20:08:06 2008  matrix is 57444 x 57508 (14.3 MB) with weight 3515270 (61.13/col)
Sun Dec 07 20:08:06 2008  sparse part has weight 3515270 (61.13/col)
Sun Dec 07 20:08:06 2008  saving the first 48 matrix rows for later
Sun Dec 07 20:08:06 2008  matrix is 57396 x 57508 (10.7 MB) with weight 2954201 (51.37/col)
Sun Dec 07 20:08:06 2008  sparse part has weight 2467234 (42.90/col)
Sun Dec 07 20:08:06 2008  matrix includes 64 packed rows
Sun Dec 07 20:08:06 2008  using block size 23003 for processor cache size 1024 kB
Sun Dec 07 20:08:07 2008  commencing Lanczos iteration
Sun Dec 07 20:08:07 2008  memory use: 9.6 MB
Sun Dec 07 20:08:29 2008  lanczos halted after 909 iterations (dim = 57394)
Sun Dec 07 20:08:29 2008  recovered 16 nontrivial dependencies
Sun Dec 07 20:08:30 2008  prp32 factor: 28742297975313337803187625016407
Sun Dec 07 20:08:30 2008  prp59 factor: 18517291741272127549515342256010461522539595944240811661567
Sun Dec 07 20:08:30 2008  elapsed time 01:19:38

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)

35×10162-179

c132

name 名前Jo Yeong Uk
date 日付January 13, 2009 13:08:06 UTC 2009 年 1 月 13 日 (火) 22 時 8 分 6 秒 (日本時間)
composite number 合成数
121624700630498173684945589913751429441110900948082268499060929326699912364448415246381069923413339739090111816543268001429891565479<132>
prime factors 素因数
11781950893253965807469256867841699660786517244589420402301<59>
10322967879635049910907388130429762547909825198231377987413088190570273779<74>
factorization results 素因数分解の結果
Number: 38887_162
N=121624700630498173684945589913751429441110900948082268499060929326699912364448415246381069923413339739090111816543268001429891565479
  ( 132 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=11781950893253965807469256867841699660786517244589420402301
 r2=10322967879635049910907388130429762547909825198231377987413088190570273779
Version: 
Total time: 23.59 hours.
Scaled time: 56.16 units (timescale=2.381).
Factorization parameters were as follows:
n: 121624700630498173684945589913751429441110900948082268499060929326699912364448415246381069923413339739090111816543268001429891565479
m: 500000000000000000000000000000000
deg: 5
c5: 28
c0: -425
skew: 1.72
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2200000, 4100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9656646
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 787435 x 787683
Total sieving time: 21.02 hours.
Total relation processing time: 0.90 hours.
Matrix solve time: 1.42 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 23.59 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: 8046968k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673805)
Calibrating delay using timer specific routine.. 5344.84 BogoMIPS (lpj=2672421)
Calibrating delay using timer specific routine.. 5344.41 BogoMIPS (lpj=2672207)
Calibrating delay using timer specific routine.. 5291.27 BogoMIPS (lpj=2645639)
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 KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)

35×10163-179

c157

name 名前Sinkiti Sibata
date 日付December 12, 2008 05:38:22 UTC 2008 年 12 月 12 日 (金) 14 時 38 分 22 秒 (日本時間)
composite number 合成数
1222958684447829035016168859062953192454852270102557210452764847348252919135117049323275986669177296020807964147351859948420704174788553675564064971965296947<157>
prime factors 素因数
307872788703161951907149258898808205952508429619<48>
3972285727489072042775156135135899166170668429731548228973478147815338273608566491300580895913110250732250113<109>
factorization results 素因数分解の結果
Number: 41113_163
N=1222958684447829035016168859062953192454852270102557210452764847348252919135117049323275986669177296020807964147351859948420704174788553675564064971965296947
  ( 157 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=307872788703161951907149258898808205952508429619 (pp48)
 r2=3972285727489072042775156135135899166170668429731548228973478147815338273608566491300580895913110250732250113 (pp109)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 64.73 hours.
Scaled time: 165.98 units (timescale=2.564).
Factorization parameters were as follows:
name: 41113_163
n: 1222958684447829035016168859062953192454852270102557210452764847348252919135117049323275986669177296020807964147351859948420704174788553675564064971965296947
m: 500000000000000000000000000000000
deg: 5
c5: 56
c0: -85
skew: 1.09
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2000000, 4100001)
Primes: RFBsize:283146, AFBsize:282122, largePrimes:9360953 encountered
Relations: rels:9842272, finalFF:670189
Max relations in full relation-set: 28
Initial matrix: 565334 x 670189 with sparse part having weight 77009409.
Pruned matrix : 517749 x 520639 with weight 58596730.
Total sieving time: 61.13 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 3.23 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 64.73 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 KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)

35×10164-179

c130

name 名前Jo Yeong Uk
date 日付January 29, 2009 14:45:02 UTC 2009 年 1 月 29 日 (木) 23 時 45 分 2 秒 (日本時間)
composite number 合成数
1535538028928731310411299976352496883335984799898135849679037491841562148763146925000134438926258136116973870389355679625086840701<130>
prime factors 素因数
2164226505067740336545299545138264786212773<43>
709508928632527276438580379581169517506057775727086708484652773434018533527897889599737<87>
factorization results 素因数分解の結果
Number: 38887_164
N=1535538028928731310411299976352496883335984799898135849679037491841562148763146925000134438926258136116973870389355679625086840701
  ( 130 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=2164226505067740336545299545138264786212773
 r2=709508928632527276438580379581169517506057775727086708484652773434018533527897889599737
Version: 
Total time: 20.65 hours.
Scaled time: 49.29 units (timescale=2.387).
Factorization parameters were as follows:
n: 1535538028928731310411299976352496883335984799898135849679037491841562148763146925000134438926258136116973870389355679625086840701
m: 1000000000000000000000000000000000
deg: 5
c5: 7
c0: -34
skew: 1.37
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2200000, 3900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9680389
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 723944 x 724192
Total sieving time: 18.70 hours.
Total relation processing time: 0.80 hours.
Matrix solve time: 1.08 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 20.65 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: 8046968k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.72 BogoMIPS (lpj=2672360)
Calibrating delay using timer specific routine.. 5344.08 BogoMIPS (lpj=2672043)
Calibrating delay using timer specific routine.. 5237.82 BogoMIPS (lpj=2618912)
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 KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)

35×10165-179

c126

name 名前Jo Yeong Uk
date 日付February 16, 2009 12:12:25 UTC 2009 年 2 月 16 日 (月) 21 時 12 分 25 秒 (日本時間)
composite number 合成数
733591130487729320041466339475378877828506230498071346123108945591659364833598799646116043576499629418508345462979745381733217<126>
prime factors 素因数
109280386502103256471935743911750090597<39>
6712925841213146837839103821365744689243652680605247737247853841651220452334798552144461<88>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 733591130487729320041466339475378877828506230498071346123108945591659364833598799646116043576499629418508345462979745381733217 (126 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2491864470
Step 1 took 11843ms
Step 2 took 5342ms
********** Factor found in step 2: 109280386502103256471935743911750090597
Found probable prime factor of 39 digits: 109280386502103256471935743911750090597
Probable prime cofactor 6712925841213146837839103821365744689243652680605247737247853841651220452334798552144461 has 88 digits
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkFebruary 7, 2009 04:28:23 UTC 2009 年 2 月 7 日 (土) 13 時 28 分 23 秒 (日本時間)

35×10166-179

c122

name 名前Serge Batalov
date 日付December 7, 2008 10:08:38 UTC 2008 年 12 月 7 日 (日) 19 時 8 分 38 秒 (日本時間)
composite number 合成数
64378238516069604579383533302764436087197427613420082719887498157938910944395173787016458949064142012661915170337642975629<122>
prime factors 素因数
8226444157972988141710931167<28>
7825767400812519208912071922939339970412517548592436550077410265971108080505948124839410842387<94>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3714132238
Step 1 took 7741ms
Step 2 took 4408ms
********** Factor found in step 2: 8226444157972988141710931167
Found probable prime factor of 28 digits: 8226444157972988141710931167
Probable prime cofactor 7825767400812519208912071922939339970412517548592436550077410265971108080505948124839410842387 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 KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)

35×10167-179

c131

name 名前Robert Backstrom
date 日付June 25, 2009 15:11:19 UTC 2009 年 6 月 26 日 (金) 0 時 11 分 19 秒 (日本時間)
composite number 合成数
22750259932363806506452932866536434963285158584917848593353721346670116012441195229750928624948194947776451081125903243713646380871<131>
prime factors 素因数
996244817379145944395119476840665614982629783547816089009<57>
22836013332760580540298944200610015633803921232860776910122536509987443319<74>
factorization results 素因数分解の結果
Number: n
N=22750259932363806506452932866536434963285158584917848593353721346670116012441195229750928624948194947776451081125903243713646380871
  ( 131 digits)
SNFS difficulty: 169 digits.
Divisors found:

Fri Jun 26 01:01:57 2009  prp57 factor: 996244817379145944395119476840665614982629783547816089009
Fri Jun 26 01:01:57 2009  prp74 factor: 22836013332760580540298944200610015633803921232860776910122536509987443319
Fri Jun 26 01:01:57 2009  elapsed time 01:14:28 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 49.98 hours.
Scaled time: 132.95 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_3_8_166_7
n: 22750259932363806506452932866536434963285158584917848593353721346670116012441195229750928624948194947776451081125903243713646380871
m: 5000000000000000000000000000000000
deg: 5
c5: 28
c0: -425
skew: 1.72
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2400000, 5202913)
Primes: RFBsize:335439, AFBsize:335322, largePrimes:16921186 encountered
Relations: rels:16583215, finalFF:748495
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2030599 hash collisions in 18840257 relations
Msieve: matrix is 793962 x 794210 (211.7 MB)

Total sieving time: 49.54 hours.
Total relation processing time: 0.44 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,4800000,4800000,28,28,56,56,2.4,2.4,100000
total time: 49.98 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 KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)

35×10169-179

c103

name 名前Jo Yeong Uk
date 日付December 8, 2008 22:33:49 UTC 2008 年 12 月 9 日 (火) 7 時 33 分 49 秒 (日本時間)
composite number 合成数
7806517016049305310583814338478114902043743974196109326508338472232780809105051328581261539459413910721<103>
prime factors 素因数
111228175619580244012703383781260734185184707<45>
70184707899453055525548085720106885156447759916870224213803<59>
factorization results 素因数分解の結果
Number: 38887_169
N=7806517016049305310583814338478114902043743974196109326508338472232780809105051328581261539459413910721
  ( 103 digits)
Divisors found:
 r1=111228175619580244012703383781260734185184707 (pp45)
 r2=70184707899453055525548085720106885156447759916870224213803 (pp59)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 4.67 hours.
Scaled time: 11.14 units (timescale=2.388).
Factorization parameters were as follows:
name: 38887_169
n: 7806517016049305310583814338478114902043743974196109326508338472232780809105051328581261539459413910721
skew: 6435.65
# norm 4.25e+14
c5: 327600
c4: 1341580360
c3: -28087535201805
c2: 27505657027816968
c1: -434236182625700756620
c0: -443139871734227666744928
# alpha -6.84
Y1: 24295412119
Y0: -29882876112108691223
# Murphy_E 2.39e-09
# M 5943626666779991075222796907480430371988929735998081121571940013048844424323463430802335138075319426611
type: gnfs
rlim: 1400000
alim: 1400000
lpbr: 26
lpba: 26
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 50/50
Sieved algebraic special-q in [700000, 1400001)
Primes: RFBsize:107126, AFBsize:107324, largePrimes:4895616 encountered
Relations: rels:4876186, finalFF:317090
Max relations in full relation-set: 28
Initial matrix: 214535 x 317090 with sparse part having weight 31970719.
Pruned matrix : 174914 x 176050 with weight 15170674.
Polynomial selection time: 0.35 hours.
Total sieving time: 4.07 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1400000,1400000,26,26,50,50,2.6,2.6,50000
total time: 4.67 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: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5497.76 BogoMIPS (lpj=2748880)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
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 KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)

35×10173-179

c165

name 名前Ignacio Santos
date 日付October 7, 2009 11:08:48 UTC 2009 年 10 月 7 日 (水) 20 時 8 分 48 秒 (日本時間)
composite number 合成数
210593471317678812647952883264166395690481437610228349639995873034640934123809598449007435643491227778261219159012802941218313387354473358101928258547783837616347161<165>
prime factors 素因数
337724536741041059203277713140298669<36>
35379397955005834588592053197139791721891<41>
17625110578008454198749170325730853946484306159435410277383328749926110210790680918234559<89>
factorization results 素因数分解の結果
Number: 38887_173
N=210593471317678812647952883264166395690481437610228349639995873034640934123809598449007435643491227778261219159012802941218313387354473358101928258547783837616347161
  ( 165 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=337724536741041059203277713140298669 (pp36)
 r2=35379397955005834588592053197139791721891 (pp41)
 r3=17625110578008454198749170325730853946484306159435410277383328749926110210790680918234559 (pp89)
Version: Msieve-1.40
Total time: 82.53 hours.
Scaled time: 143.52 units (timescale=1.739).
Factorization parameters were as follows:
n: 210593471317678812647952883264166395690481437610228349639995873034640934123809598449007435643491227778261219159012802941218313387354473358101928258547783837616347161
m: 50000000000000000000000000000000000
deg: 5
c5: 56
c0: -85
skew: 1.09
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 7000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1196567 x 1196792
Total sieving time: 79.16 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.00 hours.
Time per square root: 1.21 hours.
Prototype def-par.txt line would be:
snfs,175.000,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,52,52,2.5,2.5,100000
total time: 82.53 hours.
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 KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)
351e61000Lionel DebrouxSeptember 28, 2009 04:23:08 UTC 2009 年 9 月 28 日 (月) 13 時 23 分 8 秒 (日本時間)

35×10175-179

c156

name 名前Wataru Sakai
date 日付May 21, 2011 00:42:37 UTC 2011 年 5 月 21 日 (土) 9 時 42 分 37 秒 (日本時間)
composite number 合成数
799672972202268718639487475116353804582286354815579765196914170497303632860205450942745648055010693527314981588247714091495120979657850334370990494507247563<156>
prime factors 素因数
313688834308281490428375074251862115800219<42>
2549255455539678047077216900839145161405584904522655217565465200669353745545342141581455200486427802677811159135377<115>
factorization results 素因数分解の結果
Number: 38887_175
N=799672972202268718639487475116353804582286354815579765196914170497303632860205450942745648055010693527314981588247714091495120979657850334370990494507247563
  ( 156 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=313688834308281490428375074251862115800219
 r2=2549255455539678047077216900839145161405584904522655217565465200669353745545342141581455200486427802677811159135377
Version: 
Total time: 185.35 hours.
Scaled time: 271.73 units (timescale=1.466).
Factorization parameters were as follows:
n: 799672972202268718639487475116353804582286354815579765196914170497303632860205450942745648055010693527314981588247714091495120979657850334370990494507247563
m: 100000000000000000000000000000000000
deg: 5
c5: 35
c0: -17
skew: 0.87
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3050000, 6350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1132450 x 1132698
Total sieving time: 185.35 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,176,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time: 185.35 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 KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosAugust 31, 2010 11:29:38 UTC 2010 年 8 月 31 日 (火) 20 時 29 分 38 秒 (日本時間)
403e62144110Ignacio SantosAugust 31, 2010 11:29:38 UTC 2010 年 8 月 31 日 (火) 20 時 29 分 38 秒 (日本時間)
2034Wataru SakaiMay 15, 2011 05:30:52 UTC 2011 年 5 月 15 日 (日) 14 時 30 分 52 秒 (日本時間)
4511e632 / 3991Ignacio SantosAugust 31, 2010 11:29:38 UTC 2010 年 8 月 31 日 (火) 20 時 29 分 38 秒 (日本時間)

35×10176-179

c116

name 名前Serge Batalov
date 日付December 8, 2008 02:53:56 UTC 2008 年 12 月 8 日 (月) 11 時 53 分 56 秒 (日本時間)
composite number 合成数
56992184306300095232697025645892664231491608887626294769119876582529506663670050190359704250214933193478377762967219<116>
prime factors 素因数
16287071657624667201329691914058751<35>
3499228437398053869070314749177548455789874474953667584190158156018462102243163469<82>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1452233116
Step 1 took 10696ms
Step 2 took 5610ms
********** Factor found in step 2: 16287071657624667201329691914058751
Found probable prime factor of 35 digits: 16287071657624667201329691914058751
Probable prime cofactor 3499228437398053869070314749177548455789874474953667584190158156018462102243163469 has 82 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 KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)

35×10177-179

c137

name 名前Alfred Reich
date 日付June 16, 2013 17:14:12 UTC 2013 年 6 月 17 日 (月) 2 時 14 分 12 秒 (日本時間)
composite number 合成数
30242698161206836457425396184397374460321978798629258447161163854422662720419557705731734812418669722337878766368966860399440362398441647<137>
prime factors 素因数
87804349006598114590032075861927015852744947<44>
344432804335628402026565030270795649116570161185464758048714173624074822263981761587630166101<93>
factorization results 素因数分解の結果
Number: c137
N = 30242698161206836457425396184397374460321978798629258447161163854422662720419557705731734812418669722337878766368966860399440362398441647 (137 digits)
SNFS difficulty: 179 digits.
Divisors found:
r1=87804349006598114590032075861927015852744947 (pp44)
r2=344432804335628402026565030270795649116570161185464758048714173624074822263981761587630166101 (pp93)
Version: Msieve v. 1.50 (SVN Official Release)
Total time: 4.86 hours.
Factorization parameters were as follows:
n: 30242698161206836457425396184397374460321978798629258447161163854422662720419557705731734812418669722337878766368966860399440362398441647
m: 100000000000000000000000000000000000
deg: 5
c5: 3500
c0: -17
skew: 0.34
# Murphy_E = 1.016e-10
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19848076
Relations: 1860486 relations
Pruned matrix : 1171507 x 1171732
Polynomial selection time: 0.00 hours.
Total sieving time: 3.88 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.82 hours.
time per square root: 0.04 hours.
Prototype def-par.txt line would be: snfs,179,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000
total time: 4.86 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.39GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosAugust 31, 2010 12:24:20 UTC 2010 年 8 月 31 日 (火) 21 時 24 分 20 秒 (日本時間)
403e62144110Ignacio SantosAugust 31, 2010 12:24:20 UTC 2010 年 8 月 31 日 (火) 21 時 24 分 20 秒 (日本時間)
2034Wataru SakaiJanuary 9, 2012 03:12:05 UTC 2012 年 1 月 9 日 (月) 12 時 12 分 5 秒 (日本時間)
4511e6802 / 382632Ignacio SantosAugust 31, 2010 12:24:20 UTC 2010 年 8 月 31 日 (火) 21 時 24 分 20 秒 (日本時間)
770Ignacio SantosJune 12, 2013 21:08:44 UTC 2013 年 6 月 13 日 (木) 6 時 8 分 44 秒 (日本時間)
5043e647 / 7291Ignacio SantosJune 12, 2013 21:08:44 UTC 2013 年 6 月 13 日 (木) 6 時 8 分 44 秒 (日本時間)

35×10178-179

c141

name 名前Serge Batalov
date 日付December 7, 2008 10:12:19 UTC 2008 年 12 月 7 日 (日) 19 時 12 分 19 秒 (日本時間)
composite number 合成数
339604139863501445460673717618678354150768026413314520552784455827800089530927319774568520245516249537925161313984504957877684963254646839541<141>
prime factors 素因数
6669335981879766458758192517<28>
50920232656772421298875597231096960594307229219521852623019622483583930275126623970795438847629543847126898487473<113>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4196366601
Step 1 took 11768ms
Step 2 took 6458ms
********** Factor found in step 2: 6669335981879766458758192517
Found probable prime factor of 28 digits: 6669335981879766458758192517
Probable prime cofactor 50920232656772421298875597231096960594307229219521852623019622483583930275126623970795438847629543847126898487473 has 113 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 KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)

35×10181-179

c121

name 名前Serge Batalov
date 日付December 7, 2008 19:55:50 UTC 2008 年 12 月 8 日 (月) 4 時 55 分 50 秒 (日本時間)
composite number 合成数
2797358808323119101096451396776178546859477019361996800434390315855741886674756142859659911042308124257594928728958796883<121>
prime factors 素因数
100287270379262073062534543329774973<36>
27893458439383066549646630630840407002770488829451805100233906262131129518370132230671<86>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=730062768
Step 1 took 9937ms
Step 2 took 5714ms
********** Factor found in step 2: 100287270379262073062534543329774973
Found probable prime factor of 36 digits: 100287270379262073062534543329774973
Probable prime cofactor 27893458439383066549646630630840407002770488829451805100233906262131129518370132230671 has 86 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 KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)

35×10183-179

c169

name 名前Jo Yeong Uk
date 日付June 25, 2014 22:11:02 UTC 2014 年 6 月 26 日 (木) 7 時 11 分 2 秒 (日本時間)
composite number 合成数
8295133038945286077422995603737445795913212114568188123600995845958931228058206280272202200189713331681183568354148869458294381980547291327550107688790966678007056544073<169>
prime factors 素因数
130324752158322141231839320712765346334485533<45>
4144779491795801904255085377603295114012730452396597<52>
15356598071106482204301771137351504752162708969590162450779723636170886473<74>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 8295133038945286077422995603737445795913212114568188123600995845958931228058206280272202200189713331681183568354148869458294381980547291327550107688790966678007056544073 (169 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4312673018
Step 1 took 29838ms
Step 2 took 10052ms
********** Factor found in step 2: 130324752158322141231839320712765346334485533
Found probable prime factor of 45 digits: 130324752158322141231839320712765346334485533
Composite cofactor 63649712748873117105412962527665957820813577071835309980878262177984086023579803297212189676326018091025017910976440858532381 has 125 digits

Number: 38887_183
N=63649712748873117105412962527665957820813577071835309980878262177984086023579803297212189676326018091025017910976440858532381
  ( 125 digits)
Divisors found:
 r1=4144779491795801904255085377603295114012730452396597
 r2=15356598071106482204301771137351504752162708969590162450779723636170886473
Version: 
Total time: 32.02 hours.
Scaled time: 168.29 units (timescale=5.256).
Factorization parameters were as follows:
name: 38887_183
n: 63649712748873117105412962527665957820813577071835309980878262177984086023579803297212189676326018091025017910976440858532381
skew: 79841.93
# norm 1.65e+17
c5: 141840
c4: 19247666526
c3: 928748495988311
c2: -223030020132021980399
c1: 6318927210421972361681126
c0: 150886426734156758334264940365
# alpha -6.89
Y1: 52802833311569
Y0: -851920000992357257280869
# Murphy_E 1.63e-10
# M 2739675464787194878281785485097228171669361547852460464675648099171726589022247635166901917954924648473870184513140399503968
type: gnfs
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved algebraic special-q in [3400000, 6300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17654931
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1156090 x 1156338
Polynomial selection time: 5.22 hours.
Total sieving time: 23.98 hours.
Total relation processing time: 1.23 hours.
Matrix solve time: 1.44 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
gnfs,124,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6800000,6800000,28,28,54,54,2.5,2.5,100000
total time: 32.02 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.. 6800.41 BogoMIPS (lpj=3400205)
Total of 12 processors activated (81604.92 BogoMIPS).
software ソフトウェア
GMP-ECM v6.4.4 / 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 KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosAugust 31, 2010 13:25:39 UTC 2010 年 8 月 31 日 (火) 22 時 25 分 39 秒 (日本時間)
403e61610110Ignacio SantosAugust 31, 2010 13:25:39 UTC 2010 年 8 月 31 日 (火) 22 時 25 分 39 秒 (日本時間)
1500Dmitry DomanovAugust 1, 2013 11:06:55 UTC 2013 年 8 月 1 日 (木) 20 時 6 分 55 秒 (日本時間)
4511e6492 / 410932Ignacio SantosAugust 31, 2010 13:25:39 UTC 2010 年 8 月 31 日 (火) 22 時 25 分 39 秒 (日本時間)
160Rich DickersonNovember 15, 2013 15:03:47 UTC 2013 年 11 月 16 日 (土) 0 時 3 分 47 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:37 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 37 秒 (日本時間)

35×10185-179

c165

name 名前Serge Batalov
date 日付December 7, 2008 09:40:39 UTC 2008 年 12 月 7 日 (日) 18 時 40 分 39 秒 (日本時間)
composite number 合成数
507532721333085053708809791288095755067105950731049788638829495265057547923341188823071571909817536820465337865622633108162427212989159847093738127516818466476503919<165>
prime factors 素因数
5308091521661172993909954169669<31>
composite cofactor 合成数の残り
95614915315976341449915814671226342958300199565786370767219809757828964280275892186523976522697083942736597836961138778025419700393251<134>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2815757366
Step 1 took 13757ms
Step 2 took 7741ms
********** Factor found in step 2: 5308091521661172993909954169669
Found probable prime factor of 31 digits: 5308091521661172993909954169669
Composite cofactor has 134 digits
software ソフトウェア
GMP-ECM 6.2.1

c134

name 名前Ignacio Santos
date 日付July 13, 2011 15:36:15 UTC 2011 年 7 月 14 日 (木) 0 時 36 分 15 秒 (日本時間)
composite number 合成数
95614915315976341449915814671226342958300199565786370767219809757828964280275892186523976522697083942736597836961138778025419700393251<134>
prime factors 素因数
523319167282656102031457080236046027<36>
composite cofactor 合成数の残り
182708605557978042098532055152510727698293489084662409809291610596658404584971820669812902879688713<99>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=829203093
Step 1 took 16567ms
Step 2 took 10016ms
********** Factor found in step 2: 523319167282656102031457080236046027
Found probable prime factor of 36 digits: 523319167282656102031457080236046027
Composite cofactor 182708605557978042098532055152510727698293489084662409809291610596658404584971820669812902879688713 has 99 digits
software ソフトウェア
GMP-ECM 6.3

c99

name 名前Warut Roonguthai
date 日付July 15, 2011 06:41:32 UTC 2011 年 7 月 15 日 (金) 15 時 41 分 32 秒 (日本時間)
composite number 合成数
182708605557978042098532055152510727698293489084662409809291610596658404584971820669812902879688713<99>
prime factors 素因数
663463264282258883675390613253776805699<39>
275386167394865512719650839806880906553023554612593681877187<60>
factorization results 素因数分解の結果
N = 182708605557978042098532055152510727698293489084662409809291610596658404584971820669812902879688713 (99 digits)
Divisors found:
r1=663463264282258883675390613253776805699 (pp39)
r2=275386167394865512719650839806880906553023554612593681877187 (pp60)
Version: Msieve v. 1.48
Total time: 9.85 hours.
Factorization parameters were as follows:
n: 182708605557978042098532055152510727698293489084662409809291610596658404584971820669812902879688713
Y0: -1084744038337597371822384
Y1: 22010712966527
c0: 103243669536790552524866494153
c1: 38485274122258602332308
c2: -13259239106457769
c3: -1857101104
c4: 132
skew: 7149952.24
type: gnfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [0, 0)
Total raw relations: 4223650
Relations: 356454 relations
Pruned matrix : 208058 x 208288
Polynomial selection time: 0.32 hours.
Total sieving time: 8.07 hours.
Total relation processing time: 0.49 hours.
Matrix solve time: 0.72 hours.
time per square root: 0.25 hours.
Prototype def-par.txt line would be: gnfs,98,4,58,1500,0.003,0.4,220,15,10000,2000,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 9.85 hours.
x86 Family 6 Model 13 Stepping 8, GenuineIntel
Windows-XP-5.1.2600-SP3
processors: 1, speed: 1.73GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosAugust 31, 2010 14:07:19 UTC 2010 年 8 月 31 日 (火) 23 時 7 分 19 秒 (日本時間)
403e6110 / 2144Ignacio SantosAugust 31, 2010 14:07:19 UTC 2010 年 8 月 31 日 (火) 23 時 7 分 19 秒 (日本時間)
4511e632 / 4441Ignacio SantosAugust 31, 2010 14:07:19 UTC 2010 年 8 月 31 日 (火) 23 時 7 分 19 秒 (日本時間)

35×10186-179

c117

name 名前Jo Yeong Uk
date 日付December 22, 2008 14:24:12 UTC 2008 年 12 月 22 日 (月) 23 時 24 分 12 秒 (日本時間)
composite number 合成数
157002469610056383002517699709502160585077480848188350871607152214104956824868980051866840757039680270434992140089479<117>
prime factors 素因数
5120353883635458429190544130895666258719013<43>
30662425523328166855980476520758336325858134810791000702868819091594477883<74>
factorization results 素因数分解の結果
Number: 38887_186
N=157002469610056383002517699709502160585077480848188350871607152214104956824868980051866840757039680270434992140089479
  ( 117 digits)
Divisors found:
 r1=5120353883635458429190544130895666258719013
 r2=30662425523328166855980476520758336325858134810791000702868819091594477883
Version: 
Total time: 22.72 hours.
Scaled time: 54.15 units (timescale=2.384).
Factorization parameters were as follows:
name: 38887_186
n: 157002469610056383002517699709502160585077480848188350871607152214104956824868980051866840757039680270434992140089479
skew: 90503.15
# norm 3.19e+16
c5: 7200
c4: -1050000632
c3: 784336535541926
c2: 6556944883925153517
c1: -2168736184919240296891976
c0: 307461253102532191921522760
# alpha -7.15
Y1: 2113994864537
Y0: -29357272872032918557839
# Murphy_E 4.67e-10
# M 22297279247945908317688117096806927032070203219509894621581388695827552723266532914832455914310598281190746054030867
type: gnfs
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 75000
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [1650000, 2925001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9009334
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 505641 x 505889
Polynomial selection time: 1.73 hours.
Total sieving time: 19.51 hours.
Total relation processing time: 0.70 hours.
Matrix solve time: 0.67 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3300000,3300000,27,27,52,52,2.4,2.4,75000
total time: 22.72 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: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5497.76 BogoMIPS (lpj=2748880)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
software ソフトウェア
GGNFS-0.77.1-20050930-nocona / 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 KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)

35×10187-179

c159

name 名前Serge Batalov
date 日付December 7, 2008 19:58:34 UTC 2008 年 12 月 8 日 (月) 4 時 58 分 34 秒 (日本時間)
composite number 合成数
152081960991414600929369927126795998856911683416949005449474674472799814145205222520302807011156139184488529845696578516451231627258287931893284848455687128073<159>
prime factors 素因数
5405268658708132199635096286107<31>
28135874568677300735640012694914520710640214152856963017290900531616339376629182034845122781934860626430793955513760673461885739<128>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3147506786
Step 1 took 10865ms
Step 2 took 5612ms
********** Factor found in step 2: 5405268658708132199635096286107
Found probable prime factor of 31 digits: 5405268658708132199635096286107
Probable prime cofactor 28135874568677300735640012694914520710640214152856963017290900531616339376629182034845122781934860626430793955513760673461885739 has 128 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 KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)

35×10188-179

c141

composite cofactor 合成数の残り
240144619739501854519689490016817472374353344391513178549913369463368232247081569215353964551690167366977255030553407658307144160864991977699<141>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosAugust 31, 2010 15:12:12 UTC 2010 年 9 月 1 日 (水) 0 時 12 分 12 秒 (日本時間)
403e61910110Ignacio SantosAugust 31, 2010 15:12:12 UTC 2010 年 9 月 1 日 (水) 0 時 12 分 12 秒 (日本時間)
1500Dmitry DomanovAugust 1, 2013 11:07:04 UTC 2013 年 8 月 1 日 (木) 20 時 7 分 4 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:14 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 14 秒 (日本時間)
4511e61332 / 404332Ignacio SantosAugust 31, 2010 15:12:12 UTC 2010 年 9 月 1 日 (水) 0 時 12 分 12 秒 (日本時間)
1000Rich DickersonApril 24, 2014 13:48:17 UTC 2014 年 4 月 24 日 (木) 22 時 48 分 17 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:38 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 38 秒 (日本時間)

35×10190-179

c172

name 名前Dmitry Domanov
date 日付July 4, 2013 12:20:14 UTC 2013 年 7 月 4 日 (木) 21 時 20 分 14 秒 (日本時間)
composite number 合成数
5398425018427212374824061238846440214016363672414249977998631111256993245258648636696094293359378166415385688392208198071673536018363251418840177911343498581142869652727023<172>
prime factors 素因数
100052775801257540571316324434644431<36>
53955774591906532584355748338849107591740690677796168764881239745263680448494857784509088189650964104515962241950495581815296128962436833<137>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=395137034
Step 1 took 23636ms
Step 2 took 9346ms
********** Factor found in step 2: 100052775801257540571316324434644431
Found probable prime factor of 36 digits: 100052775801257540571316324434644431

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosAugust 31, 2010 15:50:24 UTC 2010 年 9 月 1 日 (水) 0 時 50 分 24 秒 (日本時間)
403e6110 / 2144Ignacio SantosAugust 31, 2010 15:50:24 UTC 2010 年 9 月 1 日 (水) 0 時 50 分 24 秒 (日本時間)
4511e632 / 4441Ignacio SantosAugust 31, 2010 15:50:24 UTC 2010 年 9 月 1 日 (水) 0 時 50 分 24 秒 (日本時間)

35×10195-179

c186

name 名前Robert Backstrom
date 日付March 13, 2012 12:33:53 UTC 2012 年 3 月 13 日 (火) 21 時 33 分 53 秒 (日本時間)
composite number 合成数
377260679212714652323819605010045494669302663044963327029988285320467698276230467456858390949236115258411862472757210199280779266096778661493898987491082948153222195057610131016899420463<186>
prime factors 素因数
3552417074375311274670072482413541784449969509003<49>
106198307043959791062345096304590412359250542611025595111143325949237408731508993362407227381993672181492911190602141078104514422281843821<138>
factorization results 素因数分解の結果
Number: n
N=377260679212714652323819605010045494669302663044963327029988285320467698276230467456858390949236115258411862472757210199280779266096778661493898987491082948153222195057610131016899420463
  ( 186 digits)
SNFS difficulty: 196 digits.
Divisors found:

Tue Mar 13 23:30:14 2012  prp49 factor: 3552417074375311274670072482413541784449969509003
Tue Mar 13 23:30:14 2012  prp138 factor: 106198307043959791062345096304590412359250542611025595111143325949237408731508993362407227381993672181492911190602141078104514422281843821
Tue Mar 13 23:30:14 2012  elapsed time 04:17:34 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.070).
Factorization parameters were as follows:
name: KA_38887_195
n: 377260679212714652323819605010045494669302663044963327029988285320467698276230467456858390949236115258411862472757210199280779266096778661493898987491082948153222195057610131016899420463
m: 1000000000000000000000000000000000000000
#  c186, diff: 196.54
skew: 0.87
deg: 5
c5: 35
c0: -17
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
qintsize: 100000
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, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 11402319 hash collisions in 79588663 relations (72051933 unique)
Msieve: matrix is 1531834 x 1532063 (431.0 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,196,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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.. 5596.93 BogoMIPS (lpj=2798468)
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.. 5595.12 BogoMIPS (lpj=2797560)
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=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosAugust 31, 2010 16:59:46 UTC 2010 年 9 月 1 日 (水) 1 時 59 分 46 秒 (日本時間)
403e6110 / 2144Ignacio SantosAugust 31, 2010 16:59:46 UTC 2010 年 9 月 1 日 (水) 1 時 59 分 46 秒 (日本時間)
4511e632 / 4441Ignacio SantosAugust 31, 2010 16:59:46 UTC 2010 年 9 月 1 日 (水) 1 時 59 分 46 秒 (日本時間)

35×10197-179

c166

name 名前Dmitry Domanov
date 日付July 4, 2013 12:19:15 UTC 2013 年 7 月 4 日 (木) 21 時 19 分 15 秒 (日本時間)
composite number 合成数
4140745836189556190822019543473320909401403698734248672256198517132435512060972493974911486459457229905753355213362954915752511104176131334967729756177272131548387397<166>
prime factors 素因数
102966821696114315724575719581427638907291<42>
40214369716199723535550822887937804979629563992829757871795582887810320282113336768678171862585955063703187609279073314007967<125>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4255581934
Step 1 took 17478ms
Step 2 took 7880ms
********** Factor found in step 2: 102966821696114315724575719581427638907291
Found probable prime factor of 42 digits: 102966821696114315724575719581427638907291

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosAugust 31, 2010 18:21:36 UTC 2010 年 9 月 1 日 (水) 3 時 21 分 36 秒 (日本時間)
403e6110 / 2144Ignacio SantosAugust 31, 2010 18:21:36 UTC 2010 年 9 月 1 日 (水) 3 時 21 分 36 秒 (日本時間)
4511e632 / 4441Ignacio SantosAugust 31, 2010 18:21:36 UTC 2010 年 9 月 1 日 (水) 3 時 21 分 36 秒 (日本時間)

35×10198-179

c184

composite cofactor 合成数の残り
8679511256336920162264002173122804803075009080973293229650306944069523216562083983978931810569483601449758388764747331827370677349175647596819764946606457630089702044798263087020672089<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosAugust 31, 2010 19:27:19 UTC 2010 年 9 月 1 日 (水) 4 時 27 分 19 秒 (日本時間)
403e63210110Ignacio SantosAugust 31, 2010 19:27:19 UTC 2010 年 9 月 1 日 (水) 4 時 27 分 19 秒 (日本時間)
1500Dmitry DomanovAugust 1, 2013 11:07:14 UTC 2013 年 8 月 1 日 (木) 20 時 7 分 14 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:15 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 15 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:31 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 31 秒 (日本時間)
4511e632 / 3755Ignacio SantosAugust 31, 2010 19:27:19 UTC 2010 年 9 月 1 日 (水) 4 時 27 分 19 秒 (日本時間)

35×10199-179

c133

name 名前Ignacio Santos
date 日付October 16, 2010 11:22:51 UTC 2010 年 10 月 16 日 (土) 20 時 22 分 51 秒 (日本時間)
composite number 合成数
6149850280939304810500832045132117855102230364543333119052900871783265588595924318325048357224804689724720278116290555760981488260511<133>
prime factors 素因数
1686572485286955083300811181135965507389483535419645649892384754773<67>
3646359901272172895247095198305474811423225197938307378270234332707<67>
factorization results 素因数分解の結果
Number: 2
N=6149850280939304810500832045132117855102230364543333119052900871783265588595924318325048357224804689724720278116290555760981488260511
  ( 133 digits)
Divisors found:
 r1=1686572485286955083300811181135965507389483535419645649892384754773 (pp67)
 r2=3646359901272172895247095198305474811423225197938307378270234332707 (pp67)
Version: Msieve-1.40
Total time: 174.49 hours.
Scaled time: 303.43 units (timescale=1.739).
Factorization parameters were as follows:
# Murphy_E = 5.859619e-11, selected by Jeff Gilchrist
n: 6149850280939304810500832045132117855102230364543333119052900871783265588595924318325048357224804689724720278116290555760981488260511
Y0: -42941243770366882559423751
Y1: 550936212080287
c0: 262859614668031328693105541259940
c1: 4249475897406715426521387908
c2: -3530176515760468299455
c3: -65325844540525418
c4: 23309527290
c5: 42120
skew: 514434.25
type: gnfs
# selected mechanically
rlim: 11600000
alim: 11600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 11600000/11600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved algebraic special-q in [5800000, 12600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1768586 x 1768811
Total sieving time: 167.99 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 4.94 hours.
Time per square root: 1.25 hours.
Prototype def-par.txt line would be:
gnfs,132,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,11600000,11600000,28,28,54,54,2.6,2.6,100000
total time: 174.49 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 KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)
351e60--
403e6233650Erik BrangerMay 12, 2009 05:51:58 UTC 2009 年 5 月 12 日 (火) 14 時 51 分 58 秒 (日本時間)
450Erik BrangerMay 12, 2009 16:19:31 UTC 2009 年 5 月 13 日 (水) 1 時 19 分 31 秒 (日本時間)
1836Wataru SakaiJuly 31, 2009 01:11:45 UTC 2009 年 7 月 31 日 (金) 10 時 11 分 45 秒 (日本時間)
4511e64000Wataru SakaiAugust 23, 2010 00:23:36 UTC 2010 年 8 月 23 日 (月) 9 時 23 分 36 秒 (日本時間)

35×10200-179

c190

name 名前matsui
date 日付September 6, 2010 21:28:04 UTC 2010 年 9 月 7 日 (火) 6 時 28 分 4 秒 (日本時間)
composite number 合成数
1955181068585202876747557853156941054979015054855382009968337692525141186860214617266726464184451496317035805072708597083103678288028251249972334717873244756497230431876547336257140054499663<190>
prime factors 素因数
20445349807322515409363909003914189838150076566150095981197666672869250064033604839<83>
95629621748264414527368452183626638813707018983807568135851517900290950981370561857545087648852317825526617<107>
factorization results 素因数分解の結果
N=1955181068585202876747557853156941054979015054855382009968337692525141186860214617266726464184451496317035805072708597083103678288028251249972334717873244756497230431876547336257140054499663
  ( 190 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=20445349807322515409363909003914189838150076566150095981197666672869250064033604839 (pp83)
 r2=95629621748264414527368452183626638813707018983807568135851517900290950981370561857545087648852317825526617 (pp107)
Version: Msieve v. 1.47
Total time:
Scaled time: 59.51 units (timescale=1.775).
Factorization parameters were as follows:
n: 1955181068585202876747557853156941054979015054855382009968337692525141186860214617266726464184451496317035805072708597083103678288028251249972334717873244756497230431876547336257140054499663
m: 10000000000000000000000000000000000000000
deg: 5
c5: 35
c0: -17
skew: 0.87
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 160000
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8000000, 18720001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3420723 x 3420950
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,201.000,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosAugust 31, 2010 20:32:15 UTC 2010 年 9 月 1 日 (水) 5 時 32 分 15 秒 (日本時間)
403e6110 / 2144Ignacio SantosAugust 31, 2010 20:32:15 UTC 2010 年 9 月 1 日 (水) 5 時 32 分 15 秒 (日本時間)
4511e632 / 4441Ignacio SantosAugust 31, 2010 20:32:15 UTC 2010 年 9 月 1 日 (水) 5 時 32 分 15 秒 (日本時間)

35×10201-179

c144

composite cofactor 合成数の残り
153385788474434006317642906606052964830183858059309460307049637462468431014264087304522513392386244036958822888137421127218663615192071055404101<144>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosAugust 31, 2010 21:14:45 UTC 2010 年 9 月 1 日 (水) 6 時 14 分 45 秒 (日本時間)
403e62166110Ignacio SantosAugust 31, 2010 21:14:45 UTC 2010 年 9 月 1 日 (水) 6 時 14 分 45 秒 (日本時間)
1500Dmitry DomanovAugust 1, 2013 11:07:24 UTC 2013 年 8 月 1 日 (木) 20 時 7 分 24 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:15 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 15 秒 (日本時間)
256Youcef LemsaferApril 6, 2014 07:54:40 UTC 2014 年 4 月 6 日 (日) 16 時 54 分 40 秒 (日本時間)
4511e61302 / 398632Ignacio SantosAugust 31, 2010 21:14:45 UTC 2010 年 9 月 1 日 (水) 6 時 14 分 45 秒 (日本時間)
970Youcef LemsaferApril 7, 2014 20:10:59 UTC 2014 年 4 月 8 日 (火) 5 時 10 分 59 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:38 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 38 秒 (日本時間)

35×10202-179

c202

name 名前Robert Backstrom
date 日付March 5, 2009 10:58:31 UTC 2009 年 3 月 5 日 (木) 19 時 58 分 31 秒 (日本時間)
composite number 合成数
1051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051<202>
prime factors 素因数
36118644455111721394476564262279362183697261549<47>
3293898399544187326777054807794959505060276762759732491<55>
8834503942940752249432849357854950544490744137172844219578502235694939623388905000315383980972142789<100>
factorization results 素因数分解の結果
Number: n
N=1051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051
  ( 202 digits)
SNFS difficulty: 204 digits.
Divisors found:

Thu Mar  5 21:30:11 2009  prp47 factor: 36118644455111721394476564262279362183697261549
Thu Mar  5 21:30:11 2009  prp55 factor: 3293898399544187326777054807794959505060276762759732491
Thu Mar  5 21:30:11 2009  prp100 factor: 8834503942940752249432849357854950544490744137172844219578502235694939623388905000315383980972142789
Thu Mar  5 21:30:11 2009  elapsed time 19:52:44 (Msieve 1.39 - dependency 4)

Version: GGNFS-0.77.1-20050930-k8
Total time: 97.20 hours.
Scaled time: 195.76 units (timescale=2.014).
Factorization parameters were as follows:
name: KA_3_8_201_7
n: 1051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051
deg: 5
c5: 28
c0: -425
m: 50000000000000000000000000000000000000000
skew: 1.72
type: snfs
rlim: 12000000
alim: 12000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [6000000, 30099990)
Primes: RFBsize:788060, AFBsize:788064, largePrimes:34129443 encountered
Relations: rels:27304088, finalFF:124994
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7075499 hash collisions in 42646710 relations
Msieve: matrix is 3340828 x 3341073 (911.0 MB)

Total sieving time: 96.34 hours.
Total relation processing time: 0.86 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,12000000,12000000,29,29,58,58,2.5,2.5,100000
total time: 97.20 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: 3368976k/3407296k available (2745k kernel code, 36940k reserved, 1424k data, 412k init, 2489792k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.99 BogoMIPS (lpj=2830498)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830446)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830454)
Total of 4 processors activated (22643.71 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Serge BatalovFebruary 17, 2009 10:57:58 UTC 2009 年 2 月 17 日 (火) 19 時 57 分 58 秒 (日本時間)

35×10204-179

c175

composite cofactor 合成数の残り
1996983059013580644050602165364667505196793227650783549366448333374528511572902601391785886468511622280038760705240938918131324916241695806876141741612945153710914882147309351<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 6, 2008 16:00:00 UTC 2008 年 12 月 7 日 (日) 1 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosAugust 31, 2010 22:23:33 UTC 2010 年 9 月 1 日 (水) 7 時 23 分 33 秒 (日本時間)
403e63210110Ignacio SantosAugust 31, 2010 22:23:33 UTC 2010 年 9 月 1 日 (水) 7 時 23 分 33 秒 (日本時間)
1500Dmitry DomanovAugust 1, 2013 11:07:34 UTC 2013 年 8 月 1 日 (木) 20 時 7 分 34 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:16 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 16 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:31 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 31 秒 (日本時間)
4511e632 / 3755Ignacio SantosAugust 31, 2010 22:23:33 UTC 2010 年 9 月 1 日 (水) 7 時 23 分 33 秒 (日本時間)

35×10206-179

c179

composite cofactor 合成数の残り
20006273687952215823407885653701968256096772339092590016098106397315674039930380317515026096949145878796985508575062167865619102351921081639644165898239885330728577391857978250563<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 20, 2013 10:00:00 UTC 2013 年 6 月 20 日 (木) 19 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 1, 2013 11:07:43 UTC 2013 年 8 月 1 日 (木) 20 時 7 分 43 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:17 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 17 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:31 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 31 秒 (日本時間)

35×10208-179

c208

name 名前Robert Backstrom
date 日付December 1, 2013 02:22:18 UTC 2013 年 12 月 1 日 (日) 11 時 22 分 18 秒 (日本時間)
composite number 合成数
1051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051<208>
prime factors 素因数
60323497724744884875369974819393878626950842517<47>
17423576063957356823345711519320730260795494443038332196035444035682033667862668082657368321510695121744816307840912698899608570639861326699893248489890992045503<161>
factorization results 素因数分解の結果
Number: n
N=1051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051
  ( 208 digits)
SNFS difficulty: 210 digits.
Divisors found:

Sun Dec  1 08:11:41 2013  prp47 factor: 60323497724744884875369974819393878626950842517
Sun Dec  1 08:11:41 2013  prp161 factor: 17423576063957356823345711519320730260795494443038332196035444035682033667862668082657368321510695121744816307840912698899608570639861326699893248489890992045503
Sun Dec  1 08:11:41 2013  elapsed time 19:38:45 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.824).
Factorization parameters were as follows:
#
#  35*10^208-17 - 38(207)7
#
#  c208, diff: 210.24
#
skew: 1.087
n: 1051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051051
m: 500000000000000000000000000000000000000000
deg: 5
c5: 56
c0: -85
# Murphy_E = 5.35e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 31000000)
Primes: RFBsize:1389261, AFBsize:1388896,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8951414 hash collisions in 55980403 relations (48746268 unique)
Msieve: matrix is 3354317 x 3354542 (951.8 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 18hrs 25min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 37min 57sec.

Prototype def-par.txt line would be:
snfs,210,5,0,0,0,0,0,0,0,0,22000000,22000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 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
351e6418118Makoto KamadaJune 20, 2013 10:00:00 UTC 2013 年 6 月 20 日 (木) 19 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 29, 2013 18:42:04 UTC 2013 年 6 月 30 日 (日) 3 時 42 分 4 秒 (日本時間)
403e61610110Ignacio SantosJune 29, 2013 18:42:04 UTC 2013 年 6 月 30 日 (日) 3 時 42 分 4 秒 (日本時間)
1500Dmitry DomanovAugust 1, 2013 11:07:52 UTC 2013 年 8 月 1 日 (木) 20 時 7 分 52 秒 (日本時間)
4511e6882 / 410532Ignacio SantosJune 29, 2013 18:42:04 UTC 2013 年 6 月 30 日 (日) 3 時 42 分 4 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:13:59 UTC 2013 年 11 月 9 日 (土) 2 時 13 分 59 秒 (日本時間)

35×10210-179

c138

name 名前Ignacio Santos
date 日付June 28, 2013 20:18:25 UTC 2013 年 6 月 29 日 (土) 5 時 18 分 25 秒 (日本時間)
composite number 合成数
923127263524498679576362819725499574745568263613311894252268243904497915386006109600072197623259917663962618205488829365859552380946280317<138>
prime factors 素因数
544609522563567980369661523570783<33>
1695025931935939119406403350228658799999331316866860085759209709550278333939030848721819831507420985441699<106>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1731113381
Step 1 took 1813ms
Step 2 took 1766ms
********** Factor found in step 2: 544609522563567980369661523570783
Found probable prime factor of 33 digits: 544609522563567980369661523570783
Probable prime cofactor 1695025931935939119406403350228658799999331316866860085759209709550278333939030848721819831507420985441699 has 106 digits
software ソフトウェア
GMP-ECM 7.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 20, 2013 10:00:00 UTC 2013 年 6 月 20 日 (木) 19 時 0 分 0 秒 (日本時間)

35×10213-179

c187

name 名前Dmitry Domanov
date 日付July 2, 2013 06:04:09 UTC 2013 年 7 月 2 日 (火) 15 時 4 分 9 秒 (日本時間)
composite number 合成数
2134426940305941199922372822464861139997298425237959610540078685592414429042700728949343182500109758177660089778198056842895743836589009989144004632553763643587452596383391421839358878839<187>
prime factors 素因数
140135511472534184092714474871216338249<39>
15231163877574868259124606825354362696136268161511976364508210007382270940386316719572392975817030105414890120521573638569775675156312028521824766911<149>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1011915595
Step 1 took 20728ms
Step 2 took 8389ms
********** Factor found in step 2: 140135511472534184092714474871216338249
Found probable prime factor of 39 digits: 140135511472534184092714474871216338249

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 20, 2013 10:00:00 UTC 2013 年 6 月 20 日 (木) 19 時 0 分 0 秒 (日本時間)

35×10214-179

c205

name 名前Serge Batalov
date 日付January 9, 2014 17:25:53 UTC 2014 年 1 月 10 日 (金) 2 時 25 分 53 秒 (日本時間)
composite number 合成数
9127796087011401462207562471593077734493880874664495326921766516108054161477104166369486815600205997239154271575905110990572409039621169971960017288743674008989869715776676545117317017624823049428497461107<205>
prime factors 素因数
212677328162641636725629328225737717<36>
composite cofactor 合成数の残り
42918519646020111655426543838594475053000462801283573036133121834799904012921164228457829468442812370264260174437569021197475742463890043186068246848740291509505564009671<170>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2319367285
Step 1 took 18040ms
Step 2 took 7337ms
********** Factor found in step 2: 212677328162641636725629328225737717
Found probable prime factor of 36 digits: 212677328162641636725629328225737717
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 20, 2013 10:00:00 UTC 2013 年 6 月 20 日 (木) 19 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovAugust 1, 2013 11:08:03 UTC 2013 年 8 月 1 日 (木) 20 時 8 分 3 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:18 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 18 秒 (日本時間)
4511e6303 / 36843CypJanuary 7, 2014 07:14:38 UTC 2014 年 1 月 7 日 (火) 16 時 14 分 38 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:38 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 38 秒 (日本時間)
5043e6112 / 7417CypFebruary 10, 2014 03:04:44 UTC 2014 年 2 月 10 日 (月) 12 時 4 分 44 秒 (日本時間)

35×10215-179

c100

name 名前Dmitry Domanov
date 日付June 21, 2013 14:45:01 UTC 2013 年 6 月 21 日 (金) 23 時 45 分 1 秒 (日本時間)
composite number 合成数
8167854866536860945255900947334479764525953745729609349973012948384335646019788354525473802480422053<100>
prime factors 素因数
1111003976493038221982495717504483767<37>
7351778246842343676745907802148004276777055775690900574072419459<64>
factorization results 素因数分解の結果
N=8167854866536860945255900947334479764525953745729609349973012948384335646019788354525473802480422053
  ( 100 digits)
Divisors found:
 r1=1111003976493038221982495717504483767 (pp37)
 r2=7351778246842343676745907802148004276777055775690900574072419459 (pp64)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 6.90 hours.
Scaled time: 7.05 units (timescale=1.021).
Factorization parameters were as follows:
name: c100
n: 8167854866536860945255900947334479764525953745729609349973012948384335646019788354525473802480422053
skew: 1142.95
# norm 2.57e+13
c5: 746820
c4: 919126245
c3: -734783147432
c2: 3811356479946116
c1: -1271325438769915208
c0: -274624723939011423901
# alpha -4.56
Y1: 54813648407
Y0: -6423585399203767380
# Murphy_E 3.16e-09
# M 1298240114797336173248152778046457116743562100572269809230286890105188490986333365571290086238228455
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1500001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 190686 x 190922
Polynomial selection time: 0.38 hours.
Total sieving time: 6.14 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.22 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 6.90 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 20, 2013 10:00:00 UTC 2013 年 6 月 20 日 (木) 19 時 0 分 0 秒 (日本時間)

35×10216-179

c206

composite cofactor 合成数の残り
41266590542613199731585704964316578242563468649174976321296756383183499401119107613207836739067757314017580569672531323687552512249423933809391448758795829018327414061149477419702796859188174544667101441563<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 20, 2013 10:00:00 UTC 2013 年 6 月 20 日 (木) 19 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 1, 2013 11:08:12 UTC 2013 年 8 月 1 日 (木) 20 時 8 分 12 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:18 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 18 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:32 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 32 秒 (日本時間)

35×10218-179

c206

composite cofactor 合成数の残り
29883918744584592193215701864517888597006659395132675841278360256594937921374925880949668454853451097920676677712365055344182471233354876603910717853012049346111620441389212976623534447432106110727485113281<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 20, 2013 10:00:00 UTC 2013 年 6 月 20 日 (木) 19 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 1, 2013 11:08:21 UTC 2013 年 8 月 1 日 (木) 20 時 8 分 21 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:19 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 19 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:32 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 32 秒 (日本時間)

35×10219-179

c219

name 名前Ignacio Santos
date 日付June 29, 2013 16:14:44 UTC 2013 年 6 月 30 日 (日) 1 時 14 分 44 秒 (日本時間)
composite number 合成数
299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299<219>
prime factors 素因数
4009344532120776253466279143387784372087<40>
composite cofactor 合成数の残り
74612021179198521649417339431450793444735273864459222934635693576549742562517267508522468067372877318418201504966392641862504508998891012238473536247338920087407663793719260975877<179>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3596208143
Step 1 took 13172ms
Step 2 took 6656ms
********** Factor found in step 2: 4009344532120776253466279143387784372087
Found probable prime factor of 40 digits: 4009344532120776253466279143387784372087
Composite cofactor 74612021179198521649417339431450793444735273864459222934635693576549742562517267508522468067372877318418201504966392641862504508998891012238473536247338920087407663793719260975877 has 179 digits
software ソフトウェア
GMP-ECM 7.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 20, 2013 10:00:00 UTC 2013 年 6 月 20 日 (木) 19 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 1, 2013 11:08:29 UTC 2013 年 8 月 1 日 (木) 20 時 8 分 29 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:20 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 20 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:33 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 33 秒 (日本時間)

35×10220-179

c187

composite cofactor 合成数の残り
6967652346332484738442317339397076141756395547518556185439264146230636885628564244159128415170561089254625561672560474883385939207429269246646033625183473245011547724028382463024781757677<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 20, 2013 10:00:00 UTC 2013 年 6 月 20 日 (木) 19 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 1, 2013 11:08:40 UTC 2013 年 8 月 1 日 (木) 20 時 8 分 40 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:21 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 21 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:33 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 33 秒 (日本時間)

35×10222-179

c185

name 名前Dmitry Domanov
date 日付July 2, 2013 06:04:45 UTC 2013 年 7 月 2 日 (火) 15 時 4 分 45 秒 (日本時間)
composite number 合成数
15549617696269969142463744049600931191051184010785402790652043165240067353605333834523228762669382890245369734789763574167533335169476823901800565830854043902153496881538627137706212977<185>
prime factors 素因数
88337339725762949449827394477272846847<38>
176025424181242748443305933556781612061021634440548966014685378988863288342736230545361893869116197536170851549288410263809732252404839269774331791<147>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2153262541
Step 1 took 24399ms
Step 2 took 8111ms
********** Factor found in step 2: 88337339725762949449827394477272846847
Found probable prime factor of 38 digits: 88337339725762949449827394477272846847

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 20, 2013 10:00:00 UTC 2013 年 6 月 20 日 (木) 19 時 0 分 0 秒 (日本時間)

35×10224-179

c185

composite cofactor 合成数の残り
15514017216206078492479780928176308957490121921564091855495125785760575528385668152088795852605312773369139238988526318770341660353022969719787837938221158652874649018158445353703259717<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 20, 2013 10:00:00 UTC 2013 年 6 月 20 日 (木) 19 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 1, 2013 11:08:49 UTC 2013 年 8 月 1 日 (木) 20 時 8 分 49 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:22 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 22 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:33 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 33 秒 (日本時間)

35×10225-179

c195

name 名前Dmitry Domanov
date 日付July 2, 2013 06:06:04 UTC 2013 年 7 月 2 日 (火) 15 時 6 分 4 秒 (日本時間)
composite number 合成数
377383031126868395104728662856340622123740652520506844891073110770258553618568245838057247617255237434343707650334074157595251821193455257507477468084353290685492712222599226699530250638299181211<195>
prime factors 素因数
79299264491273801589352780751<29>
4758972653124621788979370896305735839196292979266926335601553225392110243355177766017485852300356706396285807900729545787276261792582906170197962297781927611388505461<166>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4219947191
Step 1 took 29422ms
Step 2 took 10715ms
********** Factor found in step 2: 79299264491273801589352780751
Found probable prime factor of 29 digits: 79299264491273801589352780751

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 20, 2013 10:00:00 UTC 2013 年 6 月 20 日 (木) 19 時 0 分 0 秒 (日本時間)

35×10226-179

c171

name 名前Dmitry Domanov
date 日付July 4, 2013 12:19:44 UTC 2013 年 7 月 4 日 (木) 21 時 19 分 44 秒 (日本時間)
composite number 合成数
162121031849495915398898185687210237547529108206907601161826870618995156788223586867579706857621514706273103871755383055060395211924510267633854014031045537933081602840467<171>
prime factors 素因数
1826904268589891920852452726569665399<37>
composite cofactor 合成数の残り
88740846817677042512413358876564454804190609986353588529205414763908991287775554804026556968770427545184713977361337119069473745697733<134>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1150061551
Step 1 took 23401ms
Step 2 took 9930ms
********** Factor found in step 2: 1826904268589891920852452726569665399
Found probable prime factor of 37 digits: 1826904268589891920852452726569665399

c134

name 名前Erik Branger
date 日付May 22, 2014 06:36:59 UTC 2014 年 5 月 22 日 (木) 15 時 36 分 59 秒 (日本時間)
composite number 合成数
88740846817677042512413358876564454804190609986353588529205414763908991287775554804026556968770427545184713977361337119069473745697733<134>
prime factors 素因数
1696386014920937314220850261232646756648962923396239<52>
52311706201971339938469734158288323777449909283084453174717452492893502419334845547<83>
factorization results 素因数分解の結果
Number: 38887_226
N = 88740846817677042512413358876564454804190609986353588529205414763908991287775554804026556968770427545184713977361337119069473745697733 (134 digits)
Divisors found:
r1=1696386014920937314220850261232646756648962923396239 (pp52)
r2=52311706201971339938469734158288323777449909283084453174717452492893502419334845547 (pp83)
Version: Msieve v. 1.51 (SVN 845)
Total time: 184.34 hours.
Factorization parameters were as follows:
# Murphy_E = 4.387e-11, selected by Erik Branger
# expecting poly E from 4.79e-011 to > 5.50e-011
n: 88740846817677042512413358876564454804190609986353588529205414763908991287775554804026556968770427545184713977361337119069473745697733
Y0: -101104124191316442319211382
Y1: 175339029860863
c0: -514741587477080447249142663116375
c1: -3101041577384693879516656385
c2: 12103942215271560879117
c3: 67536602207057
c4: -834202534
c5: 8400
skew: 765483.55
type: gnfs
# selected mechanically
rlim: 12500000
alim: 12500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 12500000/12500000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20666181
Relations: 3235250 relations
Pruned matrix : 1930508 x 1930733
Polynomial selection time: 0.00 hours.
Total sieving time: 177.12 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 4.89 hours.
time per square root: 2.13 hours.
Prototype def-par.txt line would be: gnfs,133,5,65,2000,1e-05,0.28,250,20,50000,3600,12500000,12500000,28,28,54,54,2.6,2.6,100000
total time: 184.34 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 20, 2013 10:00:00 UTC 2013 年 6 月 20 日 (木) 19 時 0 分 0 秒 (日本時間)
300Ignacio SantosJuly 21, 2013 21:08:26 UTC 2013 年 7 月 22 日 (月) 6 時 8 分 26 秒 (日本時間)
403e61610110Ignacio SantosJuly 21, 2013 21:08:26 UTC 2013 年 7 月 22 日 (月) 6 時 8 分 26 秒 (日本時間)
1500Dmitry DomanovAugust 1, 2013 11:08:59 UTC 2013 年 8 月 1 日 (木) 20 時 8 分 59 秒 (日本時間)
4511e6236232Ignacio SantosJuly 21, 2013 21:08:26 UTC 2013 年 7 月 22 日 (月) 6 時 8 分 26 秒 (日本時間)
230Ignacio SantosOctober 2, 2013 21:24:53 UTC 2013 年 10 月 3 日 (木) 6 時 24 分 53 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:45:23 UTC 2013 年 11 月 8 日 (金) 10 時 45 分 23 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:08:31 UTC 2013 年 11 月 9 日 (土) 2 時 8 分 31 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:22:47 UTC 2014 年 1 月 6 日 (月) 11 時 22 分 47 秒 (日本時間)
5043e6500 / 6960Ignacio SantosMay 2, 2014 20:59:47 UTC 2014 年 5 月 3 日 (土) 5 時 59 分 47 秒 (日本時間)

35×10227-179

c226

name 名前matsui
date 日付November 17, 2013 03:43:19 UTC 2013 年 11 月 17 日 (日) 12 時 43 分 19 秒 (日本時間)
composite number 合成数
1600365797896662094192958390489254686785550983081847279378143575674439871970736168267032464563328760859625057155921353452217649748513946044810242341106538637402834933699131229995427526291723822588020118884316415180612711476909<226>
prime factors 素因数
340527983189644621511451120275327492976901<42>
4277245960404427518869975708367822896958543225535976351<55>
1098758455601742860153081809409757491267458530853668975108903130205028689749980688616405271618024241012111877035457575619825075159<130>
factorization results 素因数分解の結果
N=1600365797896662094192958390489254686785550983081847279378143575674439871970736168267032464563328760859625057155921353452217649748513946044810242341106538637402834933699131229995427526291723822588020118884316415180612711476909
  ( 226 digits)
SNFS difficulty: 228 digits.
Divisors found:
 r1=340527983189644621511451120275327492976901 (pp42)
 r2=4277245960404427518869975708367822896958543225535976351 (pp55)
 r3=1098758455601742860153081809409757491267458530853668975108903130205028689749980688616405271618024241012111877035457575619825075159 (pp130)
Version: Msieve v. 1.52 (SVN unknown)
Total time:
Scaled time: 2100.94 units (timescale=1.788).
Factorization parameters were as follows:
n: 1600365797896662094192958390489254686785550983081847279378143575674439871970736168267032464563328760859625057155921353452217649748513946044810242341106538637402834933699131229995427526291723822588020118884316415180612711476909
m: 100000000000000000000000000000000000000
deg: 6
c6: 7
c0: -34
skew: 1.30
# Murphy_E = 1.6e-12
type: snfs
lss: 1
rlim: 46000000
alim: 46000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
qintsize: 3200000
Factor base limits: 46000000/46000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved rational special-q in [23000000, 45400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 5499762 x 5499988
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,228.000,6,0,0,0,0,0,0,0,0,46000000,46000000,30,30,59,59,2.7,2.7,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 20, 2013 10:00:00 UTC 2013 年 6 月 20 日 (木) 19 時 0 分 0 秒 (日本時間)
300Ignacio SantosJuly 27, 2013 05:39:59 UTC 2013 年 7 月 27 日 (土) 14 時 39 分 59 秒 (日本時間)
403e61610110Ignacio SantosJuly 27, 2013 05:39:59 UTC 2013 年 7 月 27 日 (土) 14 時 39 分 59 秒 (日本時間)
1500Dmitry DomanovAugust 1, 2013 11:09:12 UTC 2013 年 8 月 1 日 (木) 20 時 9 分 12 秒 (日本時間)
4511e6882 / 410532Ignacio SantosJuly 27, 2013 05:39:59 UTC 2013 年 7 月 27 日 (土) 14 時 39 分 59 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:15:41 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 41 秒 (日本時間)

35×10228-179

c178

composite cofactor 合成数の残り
2503504958622057374175629779655513581527912128837563065667971262784285266373680381160807300443853828410702617600289659443545330427754134186197315346009687985713217529576510830749<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 20, 2013 10:00:00 UTC 2013 年 6 月 20 日 (木) 19 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 1, 2013 11:09:21 UTC 2013 年 8 月 1 日 (木) 20 時 9 分 21 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:23 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 23 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:34 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 34 秒 (日本時間)

35×10230-179

c209

composite cofactor 合成数の残り
13287334949127609119215412627750264889563715424671234303743170122138288079808984279021092609372026476087795339034782646562691996182872365072601966071333226618488075066485563620514039889344442262981452840931717<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 20, 2013 10:00:00 UTC 2013 年 6 月 20 日 (木) 19 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 1, 2013 11:09:31 UTC 2013 年 8 月 1 日 (木) 20 時 9 分 31 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:23 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 23 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:34 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 34 秒 (日本時間)

35×10231-179

c212

composite cofactor 合成数の残り
37206769028738549488522212453494930342065044248537947717869129394127393396236183814430072031018933027013219868797814298078273231460158787473062944624565243707019831391586550620382339200355156697525498893970073321<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 20, 2013 10:00:00 UTC 2013 年 6 月 20 日 (木) 19 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovAugust 1, 2013 11:09:42 UTC 2013 年 8 月 1 日 (木) 20 時 9 分 42 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:24 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 24 秒 (日本時間)
4511e6451 / 4077151CypMarch 9, 2014 15:23:18 UTC 2014 年 3 月 10 日 (月) 0 時 23 分 18 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:39 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 39 秒 (日本時間)

35×10233-179

c216

composite cofactor 合成数の残り
207425839107836520307597797297560114643021663784744294349166000853519813796917923345097248207114418676059385179935136969140374691113102229910149208367622974700359524836640737297281850792801827879996599450144006940011<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 20, 2013 10:00:00 UTC 2013 年 6 月 20 日 (木) 19 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 1, 2013 11:09:52 UTC 2013 年 8 月 1 日 (木) 20 時 9 分 52 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:25 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 25 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:35 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 35 秒 (日本時間)

35×10234-179

c198

composite cofactor 合成数の残り
367797349395598987314863890543426588927103313513645106439221560264365840410764550784071023514746490496511658622763429939582334890984473811303572222392155881468156853857686132355965163079603864820763<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 20, 2013 10:00:00 UTC 2013 年 6 月 20 日 (木) 19 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 1, 2013 11:10:00 UTC 2013 年 8 月 1 日 (木) 20 時 10 分 0 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:25 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 25 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:35 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 35 秒 (日本時間)

35×10235-179

c165

composite cofactor 合成数の残り
491477330516213514973968738483574273699397782419499350840747601316273309839416667866177936918246814397419482266119239270708554648896127892606714054799165087335759941<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 20, 2013 10:00:00 UTC 2013 年 6 月 20 日 (木) 19 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 1, 2013 11:10:08 UTC 2013 年 8 月 1 日 (木) 20 時 10 分 8 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:26 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 26 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:35 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 35 秒 (日本時間)

35×10237-179

c228

composite cofactor 合成数の残り
285185486411404588943244241190437461780786066267865060396762345730756988811485427353962876383960156155153590212314334974827121229749227037040412302330544814148709980379606261209699900393339309315186184986209122918617237564913639<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 20, 2013 10:00:00 UTC 2013 年 6 月 20 日 (木) 19 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 1, 2013 11:10:18 UTC 2013 年 8 月 1 日 (木) 20 時 10 分 18 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:26 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 26 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:36 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 36 秒 (日本時間)

35×10238-179

c192

name 名前Dmitry Domanov
date 日付July 2, 2013 06:05:25 UTC 2013 年 7 月 2 日 (火) 15 時 5 分 25 秒 (日本時間)
composite number 合成数
538030322085087043250623642336832432063311442758793331395559415848509786269141020536282377963325070246778080763941954567476591790927528953223827239520041485595762028188404245998518266735568439<192>
prime factors 素因数
3878991491776700938118225724427<31>
composite cofactor 合成数の残り
138703661306215476664383700124719847491442961695384884733987961917550946663525254330993476732733302761888380275285964831612132825743296392934889505873744249124357<162>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1603332319
Step 1 took 26611ms
********** Factor found in step 1: 3878991491776700938118225724427
Found probable prime factor of 31 digits: 3878991491776700938118225724427

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 20, 2013 10:00:00 UTC 2013 年 6 月 20 日 (木) 19 時 0 分 0 秒 (日本時間)
300Ignacio SantosJuly 24, 2013 10:34:41 UTC 2013 年 7 月 24 日 (水) 19 時 34 分 41 秒 (日本時間)
403e61610110Ignacio SantosJuly 24, 2013 10:34:41 UTC 2013 年 7 月 24 日 (水) 19 時 34 分 41 秒 (日本時間)
1500Dmitry DomanovAugust 1, 2013 11:10:27 UTC 2013 年 8 月 1 日 (木) 20 時 10 分 27 秒 (日本時間)
4511e6151232Ignacio SantosJuly 24, 2013 10:34:41 UTC 2013 年 7 月 24 日 (水) 19 時 34 分 41 秒 (日本時間)
230Ignacio SantosOctober 8, 2013 21:20:28 UTC 2013 年 10 月 9 日 (水) 6 時 20 分 28 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:12:56 UTC 2013 年 11 月 9 日 (土) 2 時 12 分 56 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:38 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 38 秒 (日本時間)
5043e6800 / 7151Erik BrangerMarch 14, 2014 13:44:10 UTC 2014 年 3 月 14 日 (金) 22 時 44 分 10 秒 (日本時間)

35×10239-179

c227

composite cofactor 合成数の残り
84488070712921461812136081555931698978452821721024275482700317401664665416666207517181780935018364797480100430217812074925608572152896124635929405560890018417861839789830741143735228461551188444356974276414825230084396945352793<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 20, 2013 10:00:00 UTC 2013 年 6 月 20 日 (木) 19 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 1, 2013 11:10:36 UTC 2013 年 8 月 1 日 (木) 20 時 10 分 36 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:27 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 27 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:36 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 36 秒 (日本時間)

35×10240-179

c195

composite cofactor 合成数の残り
379282568560713244812137712694408585946146134356095914403796875879290596207958607824152818514207733333964565395107646252730208227363257326270065862728517569431035395012064160750944473884796207063<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 20, 2013 10:00:00 UTC 2013 年 6 月 20 日 (木) 19 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovAugust 1, 2013 11:10:45 UTC 2013 年 8 月 1 日 (木) 20 時 10 分 45 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:28 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 28 秒 (日本時間)
4511e6451 / 4077151CypFebruary 19, 2014 19:44:59 UTC 2014 年 2 月 20 日 (木) 4 時 44 分 59 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:39 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 39 秒 (日本時間)

35×10241-179

c230

name 名前Serge Batalov
date 日付May 19, 2014 00:42:18 UTC 2014 年 5 月 19 日 (月) 9 時 42 分 18 秒 (日本時間)
composite number 合成数
12702889868398406014893526675810996137724552593161380406921513333877430591678567373457759339715422444741227440149989641947916089908231172240713196277138557573558035744495504832193334411473784897746969472954581737750205798886943401<230>
prime factors 素因数
387278062046519618883316194693740165949311<42>
32800437497728807998665178781374071822563644071645140937173116443542757003426654212244714958560488905741082231171161970023605671193331146100782267642340860692969553439196054909048409375191<188>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=701587485
Step 1 took 18244ms
Step 2 took 12147ms
********** Factor found in step 2: 387278062046519618883316194693740165949311
Found probable prime factor of 42 digits: 387278062046519618883316194693740165949311
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 20, 2013 10:00:00 UTC 2013 年 6 月 20 日 (木) 19 時 0 分 0 秒 (日本時間)
403e61800 / 23181500Dmitry DomanovAugust 1, 2013 11:10:54 UTC 2013 年 8 月 1 日 (木) 20 時 10 分 54 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:29 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 29 秒 (日本時間)

35×10242-179

c218

name 名前Dmitry Domanov
date 日付July 2, 2013 09:15:44 UTC 2013 年 7 月 2 日 (火) 18 時 15 分 44 秒 (日本時間)
composite number 合成数
81110248563828713156418105014088830773903370012092751920630428386936012346527041023933344720795372482442066234582087917019102627285328089706819215867549020184203521932615989865849116666516739378404019202376434741701341<218>
prime factors 素因数
277850812826453642232801662225507<33>
135338909350196405779093889246735548501<39>
26922432975725172397305711249005743115609<41>
2797992619636601938214046310624770104779163681537<49>
28633901015641102298627640869481829115572199640455609362811<59>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4017413759
Step 1 took 29968ms
Step 2 took 9719ms
********** Factor found in step 2: 277850812826453642232801662225507
Found probable prime factor of 33 digits: 277850812826453642232801662225507

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=112492743
Step 1 took 21371ms
Step 2 took 7923ms
********** Factor found in step 2: 135338909350196405779093889246735548501
Found probable prime factor of 39 digits: 135338909350196405779093889246735548501

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4165603284
Step 1 took 15058ms
Step 2 took 7189ms
********** Factor found in step 2: 26922432975725172397305711249005743115609
Found probable prime factor of 41 digits: 26922432975725172397305711249005743115609
Composite cofactor 80117443713168804669770347889148346707002507460366309129164566732189094502719311174583342517494545495120507 has 107 digits

N=80117443713168804669770347889148346707002507460366309129164566732189094502719311174583342517494545495120507
  ( 107 digits)
Divisors found:
 r1=2797992619636601938214046310624770104779163681537 (pp49)
 r2=28633901015641102298627640869481829115572199640455609362811 (pp59)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 11.63 hours.
Scaled time: 12.93 units (timescale=1.112).
Factorization parameters were as follows:
n: 80117443713168804669770347889148346707002507460366309129164566732189094502719311174583342517494545495120507
skew: 3109261.34
c0: -54348616618543914318516554676
c1: -129667345606943686605930
c2: -10822192056112981
c3: 5308325014
c4: 3528
Y0: -69031823575692631099805441
Y1: 118660373785099
rlim: 2780000
alim: 2780000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 120000
Factor base limits: 2780000/2780000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1390000, 2230001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 399967 x 400195
Total sieving time: 11.18 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
gnfs,106,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2780000,2780000,26,26,52,52,2.5,2.5,150000
total time: 11.63 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 20, 2013 10:00:00 UTC 2013 年 6 月 20 日 (木) 19 時 0 分 0 秒 (日本時間)

35×10243-179

c222

composite cofactor 合成数の残り
231889709266649916701899041219123445710271359167563677827246460668003168392221785080262478210700155919708555863281472987697477454070176814512362038728549778450580562991450970861729703385916595489014873909555988514663406487<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 20, 2013 10:00:00 UTC 2013 年 6 月 20 日 (木) 19 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 1, 2013 11:11:04 UTC 2013 年 8 月 1 日 (木) 20 時 11 分 4 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:29 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 29 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:37 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 37 秒 (日本時間)

35×10244-179

c165

composite cofactor 合成数の残り
211868388510849837392480087727471076201653537162557855152814923636638919625185858649234978697585841175321997028100439724918732826407795400362051449897391166770397801<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 20, 2013 10:00:00 UTC 2013 年 6 月 20 日 (木) 19 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 28, 2013 23:00:43 UTC 2013 年 6 月 29 日 (土) 8 時 0 分 43 秒 (日本時間)
403e61610110Ignacio SantosJune 28, 2013 23:00:43 UTC 2013 年 6 月 29 日 (土) 8 時 0 分 43 秒 (日本時間)
1500Dmitry DomanovAugust 1, 2013 11:11:13 UTC 2013 年 8 月 1 日 (木) 20 時 11 分 13 秒 (日本時間)
4511e6151232Ignacio SantosJune 28, 2013 23:00:43 UTC 2013 年 6 月 29 日 (土) 8 時 0 分 43 秒 (日本時間)
230Ignacio SantosOctober 9, 2013 17:50:11 UTC 2013 年 10 月 10 日 (木) 2 時 50 分 11 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:13:17 UTC 2013 年 11 月 9 日 (土) 2 時 13 分 17 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:55 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 55 秒 (日本時間)
5043e6800 / 7151Erik BrangerMarch 11, 2014 08:19:05 UTC 2014 年 3 月 11 日 (火) 17 時 19 分 5 秒 (日本時間)

35×10246-179

c213

composite cofactor 合成数の残り
357552406651117389166448942851060608716293416958647451019665664006889487801891214933820307324657827325242726181517396905646920062198076878375515479016128258287404645021109825677054697779825356860142673314737674323<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 20, 2013 10:00:00 UTC 2013 年 6 月 20 日 (木) 19 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 1, 2013 11:11:21 UTC 2013 年 8 月 1 日 (木) 20 時 11 分 21 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:30 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 30 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:37 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 37 秒 (日本時間)

35×10247-179

c192

composite cofactor 合成数の残り
204617879811490321948267447307278733769369783814234669338538971039403165041345562025324685839781813245514387374793080661006080263852398411276646507057571816925721818991338457024217062962044243<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 20, 2013 10:00:00 UTC 2013 年 6 月 20 日 (木) 19 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 1, 2013 11:11:30 UTC 2013 年 8 月 1 日 (木) 20 時 11 分 30 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:31 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 31 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:37 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 37 秒 (日本時間)

35×10248-179

c236

name 名前Dmitry Domanov
date 日付July 3, 2013 14:07:35 UTC 2013 年 7 月 3 日 (水) 23 時 7 分 35 秒 (日本時間)
composite number 合成数
26838700818495906879077369060032124208652023696990317201815536097754627356621797784669480893314444893150773890397301819881616932475075113528028941938876708165039834477268554836656239745166778779042520463384599828127419854107991425034349<236>
prime factors 素因数
2220008756303218033644039911372396081884957<43>
12089457188983341758679999533148330509437727476723798325989120468425924296136075271084700509734805810673856085497303305521793325690608568868920405364935207427963747858393201564330919381598637457<194>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3576119425
Step 1 took 32302ms
Step 2 took 14195ms
********** Factor found in step 2: 2220008756303218033644039911372396081884957
Found probable prime factor of 43 digits: 2220008756303218033644039911372396081884957

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 20, 2013 10:00:00 UTC 2013 年 6 月 20 日 (木) 19 時 0 分 0 秒 (日本時間)

35×10250-179

c149

name 名前Ignacio Santos
date 日付June 28, 2013 21:24:00 UTC 2013 年 6 月 29 日 (土) 6 時 24 分 0 秒 (日本時間)
composite number 合成数
18452457793459818442228519774889883395154063269920739089903499862913786087599377728430830536809544187692467160461762890517991079099480784337459965693<149>
prime factors 素因数
14312713061154484321800020883553<32>
composite cofactor 合成数の残り
1289235500957595265957562641858346759275821347739209309162088178235357716845735973558581475161254215338182377059044381<118>
factorization results 素因数分解の結果
Run 120 out of 300:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1574619192
Step 1 took 1797ms
Step 2 took 1844ms
********** Factor found in step 2: 14312713061154484321800020883553
Found probable prime factor of 32 digits: 14312713061154484321800020883553
Composite cofactor 1289235500957595265957562641858346759275821347739209309162088178235357716845735973558581475161254215338182377059044381 has 118 digits
software ソフトウェア
GMP-ECM 7.0

c118

name 名前Dmitry Domanov
date 日付July 1, 2013 07:36:10 UTC 2013 年 7 月 1 日 (月) 16 時 36 分 10 秒 (日本時間)
composite number 合成数
1289235500957595265957562641858346759275821347739209309162088178235357716845735973558581475161254215338182377059044381<118>
prime factors 素因数
3484255452040458920651707402196078289661578709<46>
370017502649695145595230510819448274243451723682592900390081836310004009<72>
factorization results 素因数分解の結果
N=1289235500957595265957562641858346759275821347739209309162088178235357716845735973558581475161254215338182377059044381
  ( 118 digits)
Divisors found:
 r1=3484255452040458920651707402196078289661578709 (pp46)
 r2=370017502649695145595230510819448274243451723682592900390081836310004009 (pp72)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 50.61 hours.
Scaled time: 49.09 units (timescale=0.970).
Factorization parameters were as follows:
n: 1289235500957595265957562641858346759275821347739209309162088178235357716845735973558581475161254215338182377059044381
skew: 51305.01
c0: 864692268873357646041096000
c1: 25832833674298631696120
c2: -2697915505257265002
c3: -56654462314657
c4: -771443474
c5: 7224
Y0: -44700349933376043353383
Y1: 92829330721
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
type: gnfs
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2400000, 4000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 496546 x 496777
Total sieving time: 49.82 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 0.40 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4800000,4800000,27,27,54,54,2.5,2.5,100000
total time: 50.61 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 20, 2013 10:00:00 UTC 2013 年 6 月 20 日 (木) 19 時 0 分 0 秒 (日本時間)