Table of contents 目次

52×10113-619

c112

name 名前Ignacio Santos
date 日付April 3, 2009 16:52:45 UTC 2009 年 4 月 4 日 (土) 1 時 52 分 45 秒 (日本時間)
composite number 合成数
1788785689714482284141726866185070519435844513243894048847609219126246990024079807361541107671138630890952872377<112>
prime factors 素因数
6334577555036252676913035833364473701<37>
282384369624194315326280610935163963623341034525658187309847619129846017477<75>
factorization results 素因数分解の結果
Number: 57771_113
N=1788785689714482284141726866185070519435844513243894048847609219126246990024079807361541107671138630890952872377
  ( 112 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=6334577555036252676913035833364473701 (pp37)
 r2=282384369624194315326280610935163963623341034525658187309847619129846017477 (pp75)
Version: Msieve-1.39
Total time: 0.96 hours.
Scaled time: 2.46 units (timescale=2.560).
Factorization parameters were as follows:
n: 1788785689714482284141726866185070519435844513243894048847609219126246990024079807361541107671138630890952872377
m: 100000000000000000000000
deg: 5
c5: 13
c0: -1525
skew: 2.59
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, 500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 71901 x 72149
Total sieving time: 0.96 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,116,5,0,0,0,0,0,0,0,0,600000,600000,25,25,45,45,2.2,2.2,50000
total time: 0.96 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)

52×10114-619

c94

name 名前Robert Backstrom
date 日付April 4, 2009 00:40:45 UTC 2009 年 4 月 4 日 (土) 9 時 40 分 45 秒 (日本時間)
composite number 合成数
2875044302006376450035207601416874806511587051887097330162325414618175753882613109911012040151<94>
prime factors 素因数
4086170979912939632301607690085835323423<40>
703603524213671653937284467857848873269377644859294537<54>
factorization results 素因数分解の結果
Sat Apr 04 05:00:04 2009  
Sat Apr 04 05:00:04 2009  
Sat Apr 04 05:00:04 2009  Msieve v. 1.40
Sat Apr 04 05:00:04 2009  random seeds: 52a843a0 459c56f1
Sat Apr 04 05:00:04 2009  factoring 2875044302006376450035207601416874806511587051887097330162325414618175753882613109911012040151 (94 digits)
Sat Apr 04 05:00:04 2009  searching for 15-digit factors
Sat Apr 04 05:00:05 2009  commencing quadratic sieve (94-digit input)
Sat Apr 04 05:00:05 2009  using multiplier of 1
Sat Apr 04 05:00:05 2009  using 64kb Opteron sieve core
Sat Apr 04 05:00:05 2009  sieve interval: 18 blocks of size 65536
Sat Apr 04 05:00:05 2009  processing polynomials in batches of 6
Sat Apr 04 05:00:05 2009  using a sieve bound of 2022539 (75294 primes)
Sat Apr 04 05:00:05 2009  using large prime bound of 271020226 (28 bits)
Sat Apr 04 05:00:05 2009  using double large prime bound of 1511482239584034 (42-51 bits)
Sat Apr 04 05:00:05 2009  using trial factoring cutoff of 51 bits
Sat Apr 04 05:00:05 2009  polynomial 'A' values have 12 factors
Sat Apr 04 06:55:37 2009  75475 relations (18579 full + 56896 combined from 1070057 partial), need 75390
Sat Apr 04 06:55:40 2009  begin with 1088636 relations
Sat Apr 04 06:55:40 2009  reduce to 195823 relations in 12 passes
Sat Apr 04 06:55:40 2009  attempting to read 195823 relations
Sat Apr 04 06:55:43 2009  recovered 195823 relations
Sat Apr 04 06:55:43 2009  recovered 177830 polynomials
Sat Apr 04 06:55:43 2009  attempting to build 75475 cycles
Sat Apr 04 06:55:43 2009  found 75475 cycles in 5 passes
Sat Apr 04 06:55:43 2009  distribution of cycle lengths:
Sat Apr 04 06:55:43 2009     length 1 : 18579
Sat Apr 04 06:55:43 2009     length 2 : 13293
Sat Apr 04 06:55:43 2009     length 3 : 12866
Sat Apr 04 06:55:43 2009     length 4 : 10164
Sat Apr 04 06:55:43 2009     length 5 : 7653
Sat Apr 04 06:55:43 2009     length 6 : 5192
Sat Apr 04 06:55:43 2009     length 7 : 3227
Sat Apr 04 06:55:43 2009     length 9+: 4501
Sat Apr 04 06:55:43 2009  largest cycle: 20 relations
Sat Apr 04 06:55:43 2009  matrix is 75294 x 75475 (19.1 MB) with weight 4697664 (62.24/col)
Sat Apr 04 06:55:43 2009  sparse part has weight 4697664 (62.24/col)
Sat Apr 04 06:55:45 2009  filtering completed in 3 passes
Sat Apr 04 06:55:45 2009  matrix is 71542 x 71606 (18.2 MB) with weight 4479870 (62.56/col)
Sat Apr 04 06:55:45 2009  sparse part has weight 4479870 (62.56/col)
Sat Apr 04 06:55:45 2009  saving the first 48 matrix rows for later
Sat Apr 04 06:55:45 2009  matrix is 71494 x 71606 (10.6 MB) with weight 3406165 (47.57/col)
Sat Apr 04 06:55:45 2009  sparse part has weight 2353599 (32.87/col)
Sat Apr 04 06:55:45 2009  matrix includes 64 packed rows
Sat Apr 04 06:55:45 2009  using block size 28642 for processor cache size 1024 kB
Sat Apr 04 06:55:45 2009  commencing Lanczos iteration
Sat Apr 04 06:55:45 2009  memory use: 10.8 MB
Sat Apr 04 06:56:16 2009  lanczos halted after 1132 iterations (dim = 71494)
Sat Apr 04 06:56:17 2009  recovered 18 nontrivial dependencies
Sat Apr 04 06:56:18 2009  prp40 factor: 4086170979912939632301607690085835323423
Sat Apr 04 06:56:18 2009  prp54 factor: 703603524213671653937284467857848873269377644859294537
Sat Apr 04 06:56:18 2009  elapsed time 01:56:14

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)

52×10118-619

c109

name 名前Ignacio Santos
date 日付April 3, 2009 17:46:37 UTC 2009 年 4 月 4 日 (土) 2 時 46 分 37 秒 (日本時間)
composite number 合成数
3079011532422459502412599001197813568660563775233613155587158700454209167901460143786256134210885231037316297<109>
prime factors 素因数
35469078962720437482623252574943957771679143009<47>
86808330592926759947184437511766974195098122568233928200733033<62>
factorization results 素因数分解の結果
Number: 57771_118
N=3079011532422459502412599001197813568660563775233613155587158700454209167901460143786256134210885231037316297
  ( 109 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=35469078962720437482623252574943957771679143009 (pp47)
 r2=86808330592926759947184437511766974195098122568233928200733033 (pp62)
Version: Msieve-1.39
Total time: 1.30 hours.
Scaled time: 2.26 units (timescale=1.735).
Factorization parameters were as follows:
n: 3079011532422459502412599001197813568660563775233613155587158700454209167901460143786256134210885231037316297
m: 1000000000000000000000000
deg: 5
c5: 13
c0: -1525
skew: 2.59
type: snfs
lss: 1
rlim: 730000
alim: 730000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 730000/730000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [365000, 665001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 90017 x 90265
Total sieving time: 1.30 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,730000,730000,25,25,46,46,2.2,2.2,50000
total time: 1.30 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)

52×10125-619

c94

name 名前Yang Hae Hun
date 日付April 5, 2009 07:03:33 UTC 2009 年 4 月 5 日 (日) 16 時 3 分 33 秒 (日本時間)
composite number 合成数
1156010824932442916599876024512135484674672743806345713411843319712970870311267513080241436209<94>
prime factors 素因数
93345974488586136481557578198948240419<38>
12384152945704090840185713643463307864708033860757696411<56>
factorization results 素因数分解の結果
04/04/09 05:55:26 v1.08 @ *-PC, starting SIQS on c94: 1156010824932442916599876024512135484674672743806345713411843319712970870311267513080241436209
04/04/09 05:55:26 v1.08 @ *-PC, random seeds: 422699426, 400398816
04/04/09 05:55:26 v1.08 @ *-PC, ==== sieve params ====
04/04/09 05:55:26 v1.08 @ *-PC, n = 94 digits, 314 bits
04/04/09 05:55:26 v1.08 @ *-PC, factor base: 78247 primes (max prime = 2104337)
04/04/09 05:55:26 v1.08 @ *-PC, single large prime cutoff: 252520440 (120 * pmax)
04/04/09 05:55:26 v1.08 @ *-PC, double large prime range from 44 to 51 bits
04/04/09 05:55:26 v1.08 @ *-PC, double large prime cutoff: 1330864275125599
04/04/09 05:55:26 v1.08 @ *-PC, using 6 large prime slices of factor base
04/04/09 05:55:26 v1.08 @ *-PC, buckets hold 2048 elements
04/04/09 05:55:26 v1.08 @ *-PC, sieve interval: 22 blocks of size 32768
04/04/09 05:55:26 v1.08 @ *-PC, polynomial A has ~ 12 factors
04/04/09 05:55:26 v1.08 @ *-PC, using multiplier of 17
04/04/09 05:55:26 v1.08 @ *-PC, using small prime variation correction of 22 bits
04/04/09 05:55:26 v1.08 @ *-PC, using x128 sieve scanning
04/04/09 05:55:26 v1.08 @ *-PC, trial factoring cutoff at 98 bits
04/04/09 05:55:26 v1.08 @ *-PC, ==== sieving started ====
04/04/09 07:48:48 v1.08 @ *-PC, sieve time = 2093.8070, relation time = 1660.5040, poly_time = 3039.7980
04/04/09 07:48:48 v1.08 @ *-PC, 78347 relations found: 21602 full + 56745 from 987404 partial, using 634518 polys (309 A polys)
04/04/09 07:48:48 v1.08 @ *-PC, trial division touched 55165090 sieve locations out of 914842976256
04/04/09 07:48:48 v1.08 @ *-PC, ==== post processing stage (msieve-1.38) ====
04/04/09 07:48:49 v1.08 @ *-PC, begin with 1009006 relations
04/04/09 07:48:50 v1.08 @ *-PC, reduce to 189007 relations in 9 passes
04/04/09 07:48:52 v1.08 @ *-PC, failed to read relation 115163
04/04/09 07:48:52 v1.08 @ *-PC, failed to read relation 117523
04/04/09 07:48:53 v1.08 @ *-PC, recovered 189005 relations
04/04/09 07:48:53 v1.08 @ *-PC, recovered 163565 polynomials
04/04/09 07:48:53 v1.08 @ *-PC, attempting to build 78345 cycles
04/04/09 07:48:54 v1.08 @ *-PC, found 78345 cycles in 5 passes
04/04/09 07:48:54 v1.08 @ *-PC, distribution of cycle lengths:
04/04/09 07:48:54 v1.08 @ *-PC,    length 1 : 21602
04/04/09 07:48:54 v1.08 @ *-PC,    length 2 : 15679
04/04/09 07:48:54 v1.08 @ *-PC,    length 3 : 13869
04/04/09 07:48:54 v1.08 @ *-PC,    length 4 : 10354
04/04/09 07:48:54 v1.08 @ *-PC,    length 5 : 6936
04/04/09 07:48:54 v1.08 @ *-PC,    length 6 : 4448
04/04/09 07:48:54 v1.08 @ *-PC,    length 7 : 2507
04/04/09 07:48:54 v1.08 @ *-PC,    length 9+: 2950
04/04/09 07:48:54 v1.08 @ *-PC, largest cycle: 18 relations
04/04/09 07:48:54 v1.08 @ *-PC, matrix is 78247 x 78345 (19.5 MB) with weight 4811341 (61.41/col)
04/04/09 07:48:54 v1.08 @ *-PC, sparse part has weight 4811341 (61.41/col)
04/04/09 07:48:54 v1.08 @ *-PC, filtering completed in 3 passes
04/04/09 07:48:54 v1.08 @ *-PC, matrix is 72791 x 72855 (18.4 MB) with weight 4532402 (62.21/col)
04/04/09 07:48:54 v1.08 @ *-PC, sparse part has weight 4532402 (62.21/col)
04/04/09 07:48:55 v1.08 @ *-PC, saving the first 48 matrix rows for later
04/04/09 07:48:55 v1.08 @ *-PC, matrix is 72743 x 72855 (12.7 MB) with weight 3684887 (50.58/col)
04/04/09 07:48:55 v1.08 @ *-PC, sparse part has weight 2890111 (39.67/col)
04/04/09 07:48:55 v1.08 @ *-PC, matrix includes 64 packed rows
04/04/09 07:48:55 v1.08 @ *-PC, using block size 29142 for processor cache size 3072 kB
04/04/09 07:48:55 v1.08 @ *-PC, commencing Lanczos iteration
04/04/09 07:48:55 v1.08 @ *-PC, memory use: 11.8 MB
04/04/09 07:49:27 v1.08 @ *-PC, lanczos halted after 1152 iterations (dim = 72741)
04/04/09 07:49:28 v1.08 @ *-PC, recovered 16 nontrivial dependencies
04/04/09 07:49:34 v1.08 @ *-PC, prp38 = 93345974488586136481557578198948240419
04/04/09 07:49:40 v1.08 @ *-PC, Lanczos elapsed time = 39.7290 seconds.
04/04/09 07:49:40 v1.08 @ *-PC, Sqrt elapsed time = 12.7690 seconds.
04/04/09 07:49:40 v1.08 @ *-PC, SIQS elapsed time = 6855.0230 seconds.
software ソフトウェア
yafu 1.08

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)

52×10126-619

c117

name 名前Ignacio Santos
date 日付April 3, 2009 18:41:11 UTC 2009 年 4 月 4 日 (土) 3 時 41 分 11 秒 (日本時間)
composite number 合成数
175273369136995905543707848858571777917934298230314867088250610038095869054135327591545894755333845216855190013382721<117>
prime factors 素因数
1079623793866750213337578330763569<34>
162346708300343897190983060524349673701062352373627192853614222738074262254046907409<84>
factorization results 素因数分解の結果
Number: 57771_126
N=175273369136995905543707848858571777917934298230314867088250610038095869054135327591545894755333845216855190013382721
  ( 117 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=1079623793866750213337578330763569 (pp34)
 r2=162346708300343897190983060524349673701062352373627192853614222738074262254046907409 (pp84)
Version: Msieve-1.39
Total time: 2.21 hours.
Scaled time: 5.69 units (timescale=2.571).
Factorization parameters were as follows:
n: 175273369136995905543707848858571777917934298230314867088250610038095869054135327591545894755333845216855190013382721
m: 20000000000000000000000000
deg: 5
c5: 65
c0: -244
skew: 1.30
type: snfs
lss: 1
rlim: 960000
alim: 960000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 960000/960000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [480000, 880001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 138707 x 138954
Total sieving time: 2.21 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,128,5,0,0,0,0,0,0,0,0,960000,960000,26,26,47,47,2.3,2.3,50000
total time: 2.21 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)

52×10131-619

c111

name 名前Sinkiti Sibata
date 日付April 4, 2009 02:27:21 UTC 2009 年 4 月 4 日 (土) 11 時 27 分 21 秒 (日本時間)
composite number 合成数
927237009820602090854641088217798022236681357650069566783350283991149548339030541083050828802686994777396905573<111>
prime factors 素因数
170734765586832689268962358210656835090378467<45>
5430862347417027425377351447539772306948373514937322866566784004119<67>
factorization results 素因数分解の結果
Number: 57771_131
N=927237009820602090854641088217798022236681357650069566783350283991149548339030541083050828802686994777396905573
  ( 111 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=170734765586832689268962358210656835090378467 (pp45)
 r2=5430862347417027425377351447539772306948373514937322866566784004119 (pp67)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 7.08 hours.
Scaled time: 3.35 units (timescale=0.473).
Factorization parameters were as follows:
name: 57771_131
n: 927237009820602090854641088217798022236681357650069566783350283991149548339030541083050828802686994777396905573
m: 200000000000000000000000000
deg: 5
c5: 65
c0: -244
skew: 1.30
type: snfs
lss: 1
rlim: 1170000
alim: 1170000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1170000/1170000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [585000, 1185001)
Primes: RFBsize:90764, AFBsize:90658, largePrimes:3000713 encountered
Relations: rels:2937323, finalFF:244128
Max relations in full relation-set: 28
Initial matrix: 181489 x 244128 with sparse part having weight 20379068.
Pruned matrix : 164404 x 165375 with weight 10687648.
Total sieving time: 6.42 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.46 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,133,5,0,0,0,0,0,0,0,0,1170000,1170000,26,26,47,47,2.3,2.3,50000
total time: 7.08 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)

52×10133-619

c131

name 名前Sinkiti Sibata
date 日付April 4, 2009 04:26:44 UTC 2009 年 4 月 4 日 (土) 13 時 26 分 44 秒 (日本時間)
composite number 合成数
31113504457607850176509304134506073116735475378447914796864716089271824328367139352599772632082809788787171662777478609465685394603<131>
prime factors 素因数
3727936761833065162703458001986420391902010444196421633656883<61>
8346038692541827722054963938348693762716229106800612265655725055932841<70>
factorization results 素因数分解の結果
(ここに素因数分解ソフトウェアの出力結果を貼り付けてください。例:GGNFSのサマNumber: 57771_133
N=31113504457607850176509304134506073116735475378447914796864716089271824328367139352599772632082809788787171662777478609465685394603
  ( 131 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=3727936761833065162703458001986420391902010444196421633656883 (pp61)
 r2=8346038692541827722054963938348693762716229106800612265655725055932841 (pp70)
Version: GGNFS-0.77.1-20060513-k8
Total time: 7.19 hours.
Scaled time: 14.46 units (timescale=2.010).
Factorization parameters were as follows:
name: 57771_133
n: 31113504457607850176509304134506073116735475378447914796864716089271824328367139352599772632082809788787171662777478609465685394603
m: 1000000000000000000000000000
deg: 5
c5: 13
c0: -1525
skew: 2.59
type: snfs
lss: 1
rlim: 1300000
alim: 1300000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [650000, 1325001)
Primes: RFBsize:100021, AFBsize:100334, largePrimes:3209377 encountered
Relations: rels:3139651, finalFF:235208
Max relations in full relation-set: 28
Initial matrix: 200421 x 235208 with sparse part having weight 20085663.
Pruned matrix : 190225 x 191291 with weight 13896714.
Total sieving time: 6.70 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.32 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,48,48,2.3,2.3,75000
total time: 7.19 hours.
 --------- CPU info (if available) ----------
リファイル、B1とsigmaを含むGMP-ECMの出力など)
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)

52×10134-619

c100

name 名前Serge Batalov
date 日付April 3, 2009 16:29:39 UTC 2009 年 4 月 4 日 (土) 1 時 29 分 39 秒 (日本時間)
composite number 合成数
1047044527992104147277787655723750091707719196444440833301689590429024231841267344271759319758165853<100>
prime factors 素因数
1157114914057201543799531433343<31>
904875147033446577736916556210785819990564089251781354589525835489571<69>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=175975155
Step 1 took 6637ms
Step 2 took 6012ms
********** Factor found in step 2: 1157114914057201543799531433343
Found probable prime factor of 31 digits: 1157114914057201543799531433343
Probable prime cofactor has 69 digits
software ソフトウェア
GMP-ECM 6.2.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)

52×10135-619

c95

name 名前Sinkiti Sibata
date 日付April 4, 2009 03:09:36 UTC 2009 年 4 月 4 日 (土) 12 時 9 分 36 秒 (日本時間)
composite number 合成数
28968823213827596660909780275544464919163711569396466774004831324203409199116588424275746081763<95>
prime factors 素因数
212622608180129249577618921109<30>
136245263200260621589881241454529097142890857081373341190727226007<66>
factorization results 素因数分解の結果
Sat Apr 04 08:56:03 2009  Msieve v. 1.40
Sat Apr 04 08:56:03 2009  random seeds: 7e00eff0 a03e8cf1
Sat Apr 04 08:56:03 2009  factoring 28968823213827596660909780275544464919163711569396466774004831324203409199116588424275746081763 (95 digits)
Sat Apr 04 08:56:04 2009  searching for 15-digit factors
Sat Apr 04 08:56:06 2009  commencing quadratic sieve (95-digit input)
Sat Apr 04 08:56:06 2009  using multiplier of 43
Sat Apr 04 08:56:06 2009  using 32kb Intel Core sieve core
Sat Apr 04 08:56:06 2009  sieve interval: 36 blocks of size 32768
Sat Apr 04 08:56:06 2009  processing polynomials in batches of 6
Sat Apr 04 08:56:06 2009  using a sieve bound of 2128183 (78614 primes)
Sat Apr 04 08:56:06 2009  using large prime bound of 310714718 (28 bits)
Sat Apr 04 08:56:06 2009  using double large prime bound of 1933086450144842 (43-51 bits)
Sat Apr 04 08:56:06 2009  using trial factoring cutoff of 51 bits
Sat Apr 04 08:56:06 2009  polynomial 'A' values have 12 factors
Sat Apr 04 12:02:44 2009  78791 relations (20247 full + 58544 combined from 1150423 partial), need 78710
Sat Apr 04 12:02:45 2009  begin with 1170670 relations
Sat Apr 04 12:02:46 2009  reduce to 201338 relations in 11 passes
Sat Apr 04 12:02:46 2009  attempting to read 201338 relations
Sat Apr 04 12:02:49 2009  recovered 201338 relations
Sat Apr 04 12:02:49 2009  recovered 183647 polynomials
Sat Apr 04 12:02:50 2009  attempting to build 78791 cycles
Sat Apr 04 12:02:50 2009  found 78791 cycles in 5 passes
Sat Apr 04 12:02:50 2009  distribution of cycle lengths:
Sat Apr 04 12:02:50 2009     length 1 : 20247
Sat Apr 04 12:02:50 2009     length 2 : 14054
Sat Apr 04 12:02:50 2009     length 3 : 13555
Sat Apr 04 12:02:50 2009     length 4 : 10496
Sat Apr 04 12:02:50 2009     length 5 : 7683
Sat Apr 04 12:02:50 2009     length 6 : 5176
Sat Apr 04 12:02:50 2009     length 7 : 3289
Sat Apr 04 12:02:50 2009     length 9+: 4291
Sat Apr 04 12:02:50 2009  largest cycle: 17 relations
Sat Apr 04 12:02:50 2009  matrix is 78614 x 78791 (21.4 MB) with weight 5287791 (67.11/col)
Sat Apr 04 12:02:50 2009  sparse part has weight 5287791 (67.11/col)
Sat Apr 04 12:02:51 2009  filtering completed in 3 passes
Sat Apr 04 12:02:51 2009  matrix is 74280 x 74344 (20.3 MB) with weight 5033352 (67.70/col)
Sat Apr 04 12:02:51 2009  sparse part has weight 5033352 (67.70/col)
Sat Apr 04 12:02:51 2009  saving the first 48 matrix rows for later
Sat Apr 04 12:02:52 2009  matrix is 74232 x 74344 (14.7 MB) with weight 4174334 (56.15/col)
Sat Apr 04 12:02:52 2009  sparse part has weight 3395769 (45.68/col)
Sat Apr 04 12:02:52 2009  matrix includes 64 packed rows
Sat Apr 04 12:02:52 2009  using block size 29737 for processor cache size 1024 kB
Sat Apr 04 12:02:52 2009  commencing Lanczos iteration
Sat Apr 04 12:02:52 2009  memory use: 13.0 MB
Sat Apr 04 12:03:33 2009  lanczos halted after 1175 iterations (dim = 74230)
Sat Apr 04 12:03:33 2009  recovered 16 nontrivial dependencies
Sat Apr 04 12:03:35 2009  prp30 factor: 212622608180129249577618921109
Sat Apr 04 12:03:35 2009  prp66 factor: 136245263200260621589881241454529097142890857081373341190727226007
Sat Apr 04 12:03:35 2009  elapsed time 03:07:32

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)

52×10137-619

c96

name 名前Sinkiti Sibata
date 日付April 4, 2009 08:26:23 UTC 2009 年 4 月 4 日 (土) 17 時 26 分 23 秒 (日本時間)
composite number 合成数
801741223782253989753375726173871272236737637575163767113820153002695760206582401004739154553447<96>
prime factors 素因数
7661897610542591853010023137765323993<37>
104640033648984922939572123020578281103707523333533750006079<60>
factorization results 素因数分解の結果
Sat Apr 04 12:11:37 2009  Msieve v. 1.40
Sat Apr 04 12:11:37 2009  random seeds: ae493be0 3b80aac3
Sat Apr 04 12:11:37 2009  factoring 801741223782253989753375726173871272236737637575163767113820153002695760206582401004739154553447 (96 digits)
Sat Apr 04 12:11:38 2009  searching for 15-digit factors
Sat Apr 04 12:11:40 2009  commencing quadratic sieve (96-digit input)
Sat Apr 04 12:11:40 2009  using multiplier of 7
Sat Apr 04 12:11:40 2009  using 32kb Intel Core sieve core
Sat Apr 04 12:11:40 2009  sieve interval: 36 blocks of size 32768
Sat Apr 04 12:11:40 2009  processing polynomials in batches of 6
Sat Apr 04 12:11:40 2009  using a sieve bound of 2300003 (84369 primes)
Sat Apr 04 12:11:40 2009  using large prime bound of 345000450 (28 bits)
Sat Apr 04 12:11:40 2009  using double large prime bound of 2333862839164950 (43-52 bits)
Sat Apr 04 12:11:40 2009  using trial factoring cutoff of 52 bits
Sat Apr 04 12:11:40 2009  polynomial 'A' values have 13 factors
Sat Apr 04 17:18:49 2009  84861 relations (20544 full + 64317 combined from 1279231 partial), need 84465
Sat Apr 04 17:18:50 2009  begin with 1299775 relations
Sat Apr 04 17:18:52 2009  reduce to 222805 relations in 10 passes
Sat Apr 04 17:18:52 2009  attempting to read 222805 relations
Sat Apr 04 17:18:55 2009  recovered 222805 relations
Sat Apr 04 17:18:55 2009  recovered 209685 polynomials
Sat Apr 04 17:18:56 2009  attempting to build 84861 cycles
Sat Apr 04 17:18:56 2009  found 84861 cycles in 5 passes
Sat Apr 04 17:18:56 2009  distribution of cycle lengths:
Sat Apr 04 17:18:56 2009     length 1 : 20544
Sat Apr 04 17:18:56 2009     length 2 : 14698
Sat Apr 04 17:18:56 2009     length 3 : 14151
Sat Apr 04 17:18:56 2009     length 4 : 11368
Sat Apr 04 17:18:56 2009     length 5 : 8725
Sat Apr 04 17:18:56 2009     length 6 : 6139
Sat Apr 04 17:18:56 2009     length 7 : 3811
Sat Apr 04 17:18:56 2009     length 9+: 5425
Sat Apr 04 17:18:56 2009  largest cycle: 20 relations
Sat Apr 04 17:18:56 2009  matrix is 84369 x 84861 (23.1 MB) with weight 5723707 (67.45/col)
Sat Apr 04 17:18:56 2009  sparse part has weight 5723707 (67.45/col)
Sat Apr 04 17:18:58 2009  filtering completed in 3 passes
Sat Apr 04 17:18:58 2009  matrix is 80555 x 80619 (22.0 MB) with weight 5443758 (67.52/col)
Sat Apr 04 17:18:58 2009  sparse part has weight 5443758 (67.52/col)
Sat Apr 04 17:18:58 2009  saving the first 48 matrix rows for later
Sat Apr 04 17:18:58 2009  matrix is 80507 x 80619 (14.2 MB) with weight 4370777 (54.22/col)
Sat Apr 04 17:18:58 2009  sparse part has weight 3242834 (40.22/col)
Sat Apr 04 17:18:58 2009  matrix includes 64 packed rows
Sat Apr 04 17:18:58 2009  using block size 32247 for processor cache size 1024 kB
Sat Apr 04 17:18:59 2009  commencing Lanczos iteration
Sat Apr 04 17:18:59 2009  memory use: 13.4 MB
Sat Apr 04 17:19:43 2009  lanczos halted after 1274 iterations (dim = 80501)
Sat Apr 04 17:19:43 2009  recovered 13 nontrivial dependencies
Sat Apr 04 17:19:44 2009  prp37 factor: 7661897610542591853010023137765323993
Sat Apr 04 17:19:44 2009  prp60 factor: 104640033648984922939572123020578281103707523333533750006079
Sat Apr 04 17:19:44 2009  elapsed time 05:08:07

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)

52×10138-619

c133

name 名前Sinkiti Sibata
date 日付April 4, 2009 02:41:25 UTC 2009 年 4 月 4 日 (土) 11 時 41 分 25 秒 (日本時間)
composite number 合成数
2806475337369368692547874286527855158239603803400142018446206803014953278392260949962757532566312829494371910549643337462630026835841<133>
prime factors 素因数
1488134143786863459816687408572516745377<40>
1885902120508917874568650234764485594866141066106480990873896225831672478296591657582919019233<94>
factorization results 素因数分解の結果
Number: 57771_138
N=2806475337369368692547874286527855158239603803400142018446206803014953278392260949962757532566312829494371910549643337462630026835841
  ( 133 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=1488134143786863459816687408572516745377
 r2=1885902120508917874568650234764485594866141066106480990873896225831672478296591657582919019233
Version: 
Total time: 7.06 hours.
Scaled time: 18.09 units (timescale=2.564).
Factorization parameters were as follows:
name: 57771_138
n: 2806475337369368692547874286527855158239603803400142018446206803014953278392260949962757532566312829494371910549643337462630026835841
m: 10000000000000000000000000000
deg: 5
c5: 13
c0: -1525
skew: 2.59
type: snfs
lss: 1
rlim: 1570000
alim: 1570000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1570000/1570000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [785000, 1785001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 275592 x 275840
Total sieving time: 7.06 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,141,5,0,0,0,0,0,0,0,0,1570000,1570000,26,26,48,48,2.3,2.3,100000
total time: 7.06 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 KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)

52×10151-619

c150

name 名前Robert Backstrom
date 日付April 5, 2009 06:22:11 UTC 2009 年 4 月 5 日 (日) 15 時 22 分 11 秒 (日本時間)
composite number 合成数
115324905744067420714127300953648259037480594366821911732091372809935684187181193169217121312929696163229097360833887779995564426702151253049456642271<150>
prime factors 素因数
94351484168597880784045155675864400216052806712470671801849481953624839<71>
1222290319651907786823602119359510097400460955121974664647743836225572719664489<79>
factorization results 素因数分解の結果
Number: n
N=115324905744067420714127300953648259037480594366821911732091372809935684187181193169217121312929696163229097360833887779995564426702151253049456642271
  ( 150 digits)
SNFS difficulty: 153 digits.
Divisors found:

Sun Apr 05 16:18:40 2009  prp71 factor: 94351484168597880784045155675864400216052806712470671801849481953624839
Sun Apr 05 16:18:40 2009  prp79 factor: 1222290319651907786823602119359510097400460955121974664647743836225572719664489
Sun Apr 05 16:18:40 2009  elapsed time 00:59:05 (Msieve 1.40 - dependency 2)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 21.37 hours.
Scaled time: 38.95 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_5_7_150_1
n: 115324905744067420714127300953648259037480594366821911732091372809935684187181193169217121312929696163229097360833887779995564426702151253049456642271
skew: 1.30
deg: 5
c5: 65
c0: -244
type: snfs
m: 2000000000000000000000000000000
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [1000000, 2000000
)
Primes: RFBsize:148933, AFBsize:148971, largePrimes:17723461 encountered
Relations: rels:17159742, finalFF:364288
Max relations in full relation-set: 28
Initial matrix: 297971 x 364287 with sparse part having weight 64131147.
Pruned matrix : 285825 x 287378 with weight 44814466.

Msieve: found 1569893 hash collisions in 18295843 relations
Msieve: matrix is 399889 x 400137 (105.8 MB)

Total sieving time: 20.97 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,56,56,2.6,2.6,100000
total time: 21.37 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 KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)

52×10153-619

c139

name 名前Robert Backstrom
date 日付April 7, 2009 06:06:56 UTC 2009 年 4 月 7 日 (火) 15 時 6 分 56 秒 (日本時間)
composite number 合成数
4975071878639619027580647578105061421944161740530495775744169980983929912826073249348360403185875188699533329276365263088506585953058581643<139>
prime factors 素因数
21877636042769256562956587384071382231100312437993942946107314253<65>
227404453978194883205305035375145786814416581210812947786666686879475096631<75>
factorization results 素因数分解の結果
Number: n
N=4975071878639619027580647578105061421944161740530495775744169980983929912826073249348360403185875188699533329276365263088506585953058581643
  ( 139 digits)
SNFS difficulty: 156 digits.
Divisors found:

Tue Apr 07 16:01:50 2009  prp65 factor: 21877636042769256562956587384071382231100312437993942946107314253
Tue Apr 07 16:01:50 2009  prp75 factor: 227404453978194883205305035375145786814416581210812947786666686879475096631
Tue Apr 07 16:01:50 2009  elapsed time 01:33:48 (Msieve 1.39 - dependency 5)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 26.53 hours.
Scaled time: 48.37 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_5_7_152_1
n: 4975071878639619027580647578105061421944161740530495775744169980983929912826073249348360403185875188699533329276365263088506585953058581643
m: 10000000000000000000000000000000
deg: 5
c5: 13
c0: -1525
skew: 2.59
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 50000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [1400000, 2550059)
Primes: RFBsize:203362, AFBsize:203673, largePrimes:12268068 encountered
Relations: rels:11304635, finalFF:423323
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1009925 hash collisions in 12132181 relations
Msieve: matrix is 540033 x 540281 (144.2 MB)

Total sieving time: 26.17 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,56,56,2.4,2.4,100000
total time: 26.53 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)

52×10156-619

c132

name 名前Robert Backstrom
date 日付April 8, 2009 11:30:17 UTC 2009 年 4 月 8 日 (水) 20 時 30 分 17 秒 (日本時間)
composite number 合成数
557174002327906975798769654208559431606013104752429834529952087837656117353644842339464494240064263927360215844965204480695887411697<132>
prime factors 素因数
24695978014100333072677731977278205511815080160837<50>
22561325654314430046535809389320157194646910045717054254420912038014349179571854781<83>
factorization results 素因数分解の結果
Number: n
N=557174002327906975798769654208559431606013104752429834529952087837656117353644842339464494240064263927360215844965204480695887411697
  ( 132 digits)
SNFS difficulty: 158 digits.
Divisors found:

Wed Apr 08 21:24:46 2009  prp50 factor: 24695978014100333072677731977278205511815080160837
Wed Apr 08 21:24:46 2009  prp83 factor: 22561325654314430046535809389320157194646910045717054254420912038014349179571854781
Wed Apr 08 21:24:46 2009  elapsed time 00:52:14 (Msieve 1.39 - dependency 4)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 21.26 hours.
Scaled time: 55.86 units (timescale=2.627).
Factorization parameters were as follows:
name: KA_5_7_155_1
n: 557174002327906975798769654208559431606013104752429834529952087837656117353644842339464494240064263927360215844965204480695887411697
m: 20000000000000000000000000000000
deg: 5
c5: 65
c0: -244
skew: 1.30
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [1500000, 2900083)
Primes: RFBsize:216816, AFBsize:216527, largePrimes:12681842 encountered
Relations: rels:11727577, finalFF:433586
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1107459 hash collisions in 12643471 relations
Msieve: matrix is 588100 x 588348 (157.8 MB)

Total sieving time: 20.97 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,56,56,2.4,2.4,100000
total time: 21.26 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 KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)

52×10160-619

c147

name 名前Robert Backstrom
date 日付April 5, 2009 14:10:34 UTC 2009 年 4 月 5 日 (日) 23 時 10 分 34 秒 (日本時間)
composite number 合成数
429637551866091578297626068655909887684954878631681645707893117502917598671280423538565206659975600988026257343457552634828423780994648030114155117<147>
prime factors 素因数
149008281078740942531313177231564940583<39>
2883313254510041458866821834674195828764042985699917059832669638957731959328453054117719731853150688457037899<109>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 429637551866091578297626068655909887684954878631681645707893117502917598671280423538565206659975600988026257343457552634828423780994648030114155117 (147 digits)
Using B1=634000, B2=522408822, polynomial Dickson(3), sigma=4032056949
Step 1 took 9703ms
********** Factor found in step 1: 149008281078740942531313177231564940583
Found probable prime factor of 39 digits: 149008281078740942531313177231564940583
Probable prime cofactor 2883313254510041458866821834674195828764042985699917059832669638957731959328453054117719731853150688457037899 has 109 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)

52×10162-619

c163

name 名前Ignacio Santos
date 日付April 4, 2009 09:32:37 UTC 2009 年 4 月 4 日 (土) 18 時 32 分 37 秒 (日本時間)
composite number 合成数
5777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771<163>
prime factors 素因数
89078462498074378184875910436072504162314307600547461270396507262562803<71>
64861669316560968069909293449376891140462180764471597340201527070805685962402940951248966057<92>
factorization results 素因数分解の結果
Number: 57771_162
N=5777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771
  ( 163 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=89078462498074378184875910436072504162314307600547461270396507262562803 (pp71)
 r2=64861669316560968069909293449376891140462180764471597340201527070805685962402940951248966057 (pp92)
Version: Msieve-1.39
Total time: 34.98 hours.
Scaled time: 89.94 units (timescale=2.571).
Factorization parameters were as follows:
n: 5777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771
m: 200000000000000000000000000000000
deg: 5
c5: 325
c0: -122
skew: 0.82
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 3700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 756780 x 757028
Total sieving time: 34.98 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,164,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 34.98 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)

52×10163-619

c148

name 名前Robert Backstrom
date 日付April 8, 2009 07:15:48 UTC 2009 年 4 月 8 日 (水) 16 時 15 分 48 秒 (日本時間)
composite number 合成数
8953978437123343116951200201478548849810829379828748970302581367078882584804549791697998382013828361531770509760399305306292768437157835291721081969<148>
prime factors 素因数
985599952264306027024189286435490320222399984074792036487401000273442791<72>
9084799990658051214181652821663796864828696072835756124477903941113082320359<76>
factorization results 素因数分解の結果
Number: n
N=8953978437123343116951200201478548849810829379828748970302581367078882584804549791697998382013828361531770509760399305306292768437157835291721081969
  ( 148 digits)
SNFS difficulty: 166 digits.
Divisors found:

Wed Apr 08 16:56:58 2009  prp72 factor: 985599952264306027024189286435490320222399984074792036487401000273442791
Wed Apr 08 16:56:58 2009  prp76 factor: 9084799990658051214181652821663796864828696072835756124477903941113082320359
Wed Apr 08 16:56:58 2009  elapsed time 00:55:33 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 42.65 hours.
Scaled time: 112.98 units (timescale=2.649).
Factorization parameters were as follows:
name: KA_5_7_162_1
n: 8953978437123343116951200201478548849810829379828748970302581367078882584804549791697998382013828361531770509760399305306292768437157835291721081969
m: 1000000000000000000000000000000000
deg: 5
c5: 13
c0: -1525
skew: 2.59
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [2050000, 4750091)
Primes: RFBsize:289774, AFBsize:290733, largePrimes:9093056 encountered
Relations: rels:9165804, finalFF:598084
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1115970 hash collisions in 10198363 relations
Msieve: matrix is 725226 x 725474 (192.8 MB)

Total sieving time: 42.35 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 42.65 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 KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)

52×10164-619

c116

name 名前Andreas Tete
date 日付April 6, 2009 11:51:18 UTC 2009 年 4 月 6 日 (月) 20 時 51 分 18 秒 (日本時間)
composite number 合成数
52296918389985992784801051521686146462966025183955903334306486053990434106755070365178483332617530969438858859774851<116>
prime factors 素因数
1685645882744324078184380208870777133400255977328802807319<58>
31024854582650382849964071719783112624254304541889736365429<59>
factorization results 素因数分解の結果
Mon Apr 06 12:28:44 2009  Msieve v. 1.41
Mon Apr 06 12:28:44 2009  random seeds: d61ac388 89579085
Mon Apr 06 12:28:44 2009  factoring 52296918389985992784801051521686146462966025183955903334306486053990434106755070365178483332617530969438858859774851 (116 digits)
Mon Apr 06 12:28:45 2009  searching for 15-digit factors
Mon Apr 06 12:28:47 2009  commencing number field sieve (116-digit input)
Mon Apr 06 12:28:47 2009  R0: -22847768657417603897317
Mon Apr 06 12:28:47 2009  R1:  2527396540427
Mon Apr 06 12:28:47 2009  A0:  898990150492261702300858080
Mon Apr 06 12:28:47 2009  A1:  215800709421276599729876
Mon Apr 06 12:28:47 2009  A2:  12656715388262471695
Mon Apr 06 12:28:47 2009  A3:  171570845453858
Mon Apr 06 12:28:47 2009  A4: -3873010736
Mon Apr 06 12:28:47 2009  A5:  8400
Mon Apr 06 12:28:47 2009  skew 58360.61, size 4.912365e-011, alpha -6.153610, combined = 5.160237e-010
Mon Apr 06 12:28:47 2009  
Mon Apr 06 12:28:47 2009  commencing relation filtering
Mon Apr 06 12:28:47 2009  commencing duplicate removal, pass 1
Mon Apr 06 12:30:20 2009  found 636778 hash collisions in 8155392 relations
Mon Apr 06 12:30:45 2009  added 59663 free relations
Mon Apr 06 12:30:45 2009  commencing duplicate removal, pass 2
Mon Apr 06 12:31:05 2009  found 565861 duplicates and 7649193 unique relations
Mon Apr 06 12:31:05 2009  memory use: 48.6 MB
Mon Apr 06 12:31:05 2009  reading rational ideals above 3997696
Mon Apr 06 12:31:05 2009  reading algebraic ideals above 3997696
Mon Apr 06 12:31:05 2009  commencing singleton removal, pass 1
Mon Apr 06 12:32:27 2009  relations with 0 large ideals: 128553
Mon Apr 06 12:32:27 2009  relations with 1 large ideals: 967018
Mon Apr 06 12:32:27 2009  relations with 2 large ideals: 2568517
Mon Apr 06 12:32:27 2009  relations with 3 large ideals: 2794911
Mon Apr 06 12:32:27 2009  relations with 4 large ideals: 1068979
Mon Apr 06 12:32:27 2009  relations with 5 large ideals: 62451
Mon Apr 06 12:32:27 2009  relations with 6 large ideals: 58745
Mon Apr 06 12:32:27 2009  relations with 7+ large ideals: 19
Mon Apr 06 12:32:27 2009  7649193 relations and about 7686588 large ideals
Mon Apr 06 12:32:27 2009  commencing singleton removal, pass 2
Mon Apr 06 12:33:51 2009  found 3501835 singletons
Mon Apr 06 12:33:51 2009  current dataset: 4147358 relations and about 3436549 large ideals
Mon Apr 06 12:33:51 2009  commencing singleton removal, pass 3
Mon Apr 06 12:34:46 2009  found 796417 singletons
Mon Apr 06 12:34:46 2009  current dataset: 3350941 relations and about 2582397 large ideals
Mon Apr 06 12:34:46 2009  commencing singleton removal, pass 4
Mon Apr 06 12:35:36 2009  found 238513 singletons
Mon Apr 06 12:35:36 2009  current dataset: 3112428 relations and about 2337330 large ideals
Mon Apr 06 12:35:36 2009  commencing singleton removal, final pass
Mon Apr 06 12:36:31 2009  memory use: 50.1 MB
Mon Apr 06 12:36:31 2009  commencing in-memory singleton removal
Mon Apr 06 12:36:31 2009  begin with 3112428 relations and 2459063 unique ideals
Mon Apr 06 12:36:35 2009  reduce to 2672100 relations and 2009098 ideals in 14 passes
Mon Apr 06 12:36:35 2009  max relations containing the same ideal: 19
Mon Apr 06 12:36:36 2009  reading rational ideals above 720000
Mon Apr 06 12:36:36 2009  reading algebraic ideals above 720000
Mon Apr 06 12:36:36 2009  commencing singleton removal, final pass
Mon Apr 06 12:37:29 2009  keeping 2395199 ideals with weight <= 20, new excess is 241096
Mon Apr 06 12:37:33 2009  memory use: 67.0 MB
Mon Apr 06 12:37:33 2009  commencing in-memory singleton removal
Mon Apr 06 12:37:33 2009  begin with 2682564 relations and 2395199 unique ideals
Mon Apr 06 12:37:36 2009  reduce to 2663888 relations and 2325325 ideals in 9 passes
Mon Apr 06 12:37:36 2009  max relations containing the same ideal: 20
Mon Apr 06 12:37:38 2009  removing 283257 relations and 253811 ideals in 29446 cliques
Mon Apr 06 12:37:38 2009  commencing in-memory singleton removal
Mon Apr 06 12:37:39 2009  begin with 2380631 relations and 2325325 unique ideals
Mon Apr 06 12:37:41 2009  reduce to 2359480 relations and 2050072 ideals in 7 passes
Mon Apr 06 12:37:41 2009  max relations containing the same ideal: 20
Mon Apr 06 12:37:42 2009  removing 209956 relations and 180510 ideals in 29446 cliques
Mon Apr 06 12:37:42 2009  commencing in-memory singleton removal
Mon Apr 06 12:37:43 2009  begin with 2149524 relations and 2050072 unique ideals
Mon Apr 06 12:37:45 2009  reduce to 2136134 relations and 1855986 ideals in 7 passes
Mon Apr 06 12:37:45 2009  max relations containing the same ideal: 20
Mon Apr 06 12:37:46 2009  relations with 0 large ideals: 16774
Mon Apr 06 12:37:46 2009  relations with 1 large ideals: 130730
Mon Apr 06 12:37:46 2009  relations with 2 large ideals: 416239
Mon Apr 06 12:37:46 2009  relations with 3 large ideals: 668603
Mon Apr 06 12:37:46 2009  relations with 4 large ideals: 570245
Mon Apr 06 12:37:46 2009  relations with 5 large ideals: 257488
Mon Apr 06 12:37:46 2009  relations with 6 large ideals: 66509
Mon Apr 06 12:37:46 2009  relations with 7+ large ideals: 9546
Mon Apr 06 12:37:46 2009  commencing 2-way merge
Mon Apr 06 12:37:48 2009  reduce to 1255153 relation sets and 975005 unique ideals
Mon Apr 06 12:37:48 2009  commencing full merge
Mon Apr 06 12:38:04 2009  memory use: 75.0 MB
Mon Apr 06 12:38:05 2009  found 599605 cycles, need 563205
Mon Apr 06 12:38:05 2009  weight of 563205 cycles is about 39603761 (70.32/cycle)
Mon Apr 06 12:38:05 2009  distribution of cycle lengths:
Mon Apr 06 12:38:05 2009  1 relations: 61811
Mon Apr 06 12:38:05 2009  2 relations: 61616
Mon Apr 06 12:38:05 2009  3 relations: 61256
Mon Apr 06 12:38:05 2009  4 relations: 56642
Mon Apr 06 12:38:05 2009  5 relations: 51364
Mon Apr 06 12:38:05 2009  6 relations: 45948
Mon Apr 06 12:38:05 2009  7 relations: 40047
Mon Apr 06 12:38:05 2009  8 relations: 34563
Mon Apr 06 12:38:05 2009  9 relations: 30620
Mon Apr 06 12:38:05 2009  10+ relations: 119338
Mon Apr 06 12:38:05 2009  heaviest cycle: 18 relations
Mon Apr 06 12:38:05 2009  commencing cycle optimization
Mon Apr 06 12:38:06 2009  start with 3440975 relations
Mon Apr 06 12:38:15 2009  pruned 88888 relations
Mon Apr 06 12:38:15 2009  memory use: 91.0 MB
Mon Apr 06 12:38:15 2009  distribution of cycle lengths:
Mon Apr 06 12:38:15 2009  1 relations: 61811
Mon Apr 06 12:38:15 2009  2 relations: 63169
Mon Apr 06 12:38:15 2009  3 relations: 63625
Mon Apr 06 12:38:15 2009  4 relations: 58170
Mon Apr 06 12:38:15 2009  5 relations: 52951
Mon Apr 06 12:38:15 2009  6 relations: 46648
Mon Apr 06 12:38:15 2009  7 relations: 40611
Mon Apr 06 12:38:15 2009  8 relations: 34684
Mon Apr 06 12:38:15 2009  9 relations: 30566
Mon Apr 06 12:38:15 2009  10+ relations: 110970
Mon Apr 06 12:38:15 2009  heaviest cycle: 18 relations
Mon Apr 06 12:38:16 2009  RelProcTime: 488
Mon Apr 06 12:38:16 2009  
Mon Apr 06 12:38:16 2009  commencing linear algebra
Mon Apr 06 12:38:17 2009  read 563205 cycles
Mon Apr 06 12:38:18 2009  cycles contain 1908962 unique relations
Mon Apr 06 12:38:41 2009  read 1908962 relations
Mon Apr 06 12:38:44 2009  using 20 quadratic characters above 134215308
Mon Apr 06 12:38:57 2009  building initial matrix
Mon Apr 06 12:39:25 2009  memory use: 211.0 MB
Mon Apr 06 12:39:30 2009  read 563205 cycles
Mon Apr 06 12:39:31 2009  matrix is 562965 x 563205 (159.4 MB) with weight 53088746 (94.26/col)
Mon Apr 06 12:39:31 2009  sparse part has weight 37833274 (67.17/col)
Mon Apr 06 12:39:41 2009  filtering completed in 3 passes
Mon Apr 06 12:39:41 2009  matrix is 558794 x 558994 (158.7 MB) with weight 52833426 (94.52/col)
Mon Apr 06 12:39:41 2009  sparse part has weight 37701662 (67.45/col)
Mon Apr 06 12:39:43 2009  read 558994 cycles
Mon Apr 06 12:39:45 2009  matrix is 558794 x 558994 (158.7 MB) with weight 52833426 (94.52/col)
Mon Apr 06 12:39:45 2009  sparse part has weight 37701662 (67.45/col)
Mon Apr 06 12:39:45 2009  saving the first 48 matrix rows for later
Mon Apr 06 12:39:45 2009  matrix is 558746 x 558994 (152.4 MB) with weight 41872936 (74.91/col)
Mon Apr 06 12:39:45 2009  sparse part has weight 36594739 (65.47/col)
Mon Apr 06 12:39:45 2009  matrix includes 64 packed rows
Mon Apr 06 12:39:45 2009  using block size 65536 for processor cache size 3072 kB
Mon Apr 06 12:39:50 2009  commencing Lanczos iteration
Mon Apr 06 12:39:50 2009  memory use: 150.0 MB
Mon Apr 06 13:26:56 2009  lanczos halted after 8838 iterations (dim = 558743)
Mon Apr 06 13:26:58 2009  recovered 28 nontrivial dependencies
Mon Apr 06 13:26:58 2009  BLanczosTime: 2922
Mon Apr 06 13:26:58 2009  
Mon Apr 06 13:26:58 2009  commencing square root phase
Mon Apr 06 13:26:58 2009  reading relations for dependency 1
Mon Apr 06 13:26:58 2009  read 279405 cycles
Mon Apr 06 13:26:59 2009  cycles contain 1164385 unique relations
Mon Apr 06 13:27:16 2009  read 1164385 relations
Mon Apr 06 13:27:23 2009  multiplying 951528 relations
Mon Apr 06 13:30:28 2009  multiply complete, coefficients have about 41.70 million bits
Mon Apr 06 13:30:29 2009  initial square root is modulo 972337
Mon Apr 06 13:34:46 2009  sqrtTime: 468
Mon Apr 06 13:34:46 2009  prp58 factor: 1685645882744324078184380208870777133400255977328802807319
Mon Apr 06 13:34:46 2009  prp59 factor: 31024854582650382849964071719783112624254304541889736365429
Mon Apr 06 13:34:46 2009  elapsed time 01:06:02
software ソフトウェア
Polysearch and Linesieving with Msieve v1.41  16:00:53
GGNFS Sieving 23,52 hours
Msieve v1.41 Block Lanczos 01:06:02
total time:40,63 hours
nice split :)
execution environment 実行環境
Intel Core 2 Duo T8100
Windows Vista Home Premium 32bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6517 / 871118Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)
399Andreas TeteApril 4, 2009 13:59:10 UTC 2009 年 4 月 4 日 (土) 22 時 59 分 10 秒 (日本時間)
403e612 / 2209Andreas TeteApril 4, 2009 14:27:42 UTC 2009 年 4 月 4 日 (土) 23 時 27 分 42 秒 (日本時間)

52×10165-619

c101

name 名前Serge Batalov
date 日付April 3, 2009 16:30:45 UTC 2009 年 4 月 4 日 (土) 1 時 30 分 45 秒 (日本時間)
composite number 合成数
68209181546773526544668079888717786473465249795982099359431546541616898673528082219953130849668273297<101>
prime factors 素因数
26071796022213963116946939411064517<35>
2616205707065874152343040065011215274098234733772473710931790869341<67>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2576297680
Step 1 took 6720ms
Step 2 took 5984ms
********** Factor found in step 2: 26071796022213963116946939411064517
Found probable prime factor of 35 digits: 26071796022213963116946939411064517
Probable prime cofactor has 67 digits
software ソフトウェア
GMP-ECM 6.2.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)

52×10168-619

c167

name 名前Ignacio Santos
date 日付April 15, 2009 21:58:38 UTC 2009 年 4 月 16 日 (木) 6 時 58 分 38 秒 (日本時間)
composite number 合成数
51130776794493608652900688298918387413962635201573254670599803343166175024582104228121927236971484759095378564405113077679449360865290068829891838741396263520157325467<167>
prime factors 素因数
19594909439998386601697728948481069367588129493<47>
227202190339783073222336540223881606408474505882161<51>
11484884081582197425900107097665164509550167084613358848553590701850079<71>
factorization results 素因数分解の結果
Number: 57771_168
N=51130776794493608652900688298918387413962635201573254670599803343166175024582104228121927236971484759095378564405113077679449360865290068829891838741396263520157325467
  ( 167 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=19594909439998386601697728948481069367588129493 (pp47)
 r2=227202190339783073222336540223881606408474505882161 (pp51)
 r3=11484884081582197425900107097665164509550167084613358848553590701850079 (pp71)
Version: Msieve-1.39
Total time: 70.05 hours.
Scaled time: 180.81 units (timescale=2.581).
Factorization parameters were as follows:
n: 51130776794493608652900688298918387413962635201573254670599803343166175024582104228121927236971484759095378564405113077679449360865290068829891838741396263520157325467
m: 10000000000000000000000000000000000
deg: 5
c5: 13
c0: -1525
skew: 2.59
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2500000, 6100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1040706 x 1040954
Total sieving time: 70.05 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,171,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 70.05 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)

52×10169-619

c130

name 名前Wataru Sakai
date 日付June 15, 2009 07:23:30 UTC 2009 年 6 月 15 日 (月) 16 時 23 分 30 秒 (日本時間)
composite number 合成数
1642248071306024167772396605096652087262440361928397796586770679884659907940782838151034059594957664614340509243272692725402458379<130>
prime factors 素因数
53078376861500775441655726585136757521797989163<47>
30940058238615665313403938893991266571394807926612012937315069117082296436341232033<83>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=616297871
Step 1 took 38399ms
Step 2 took 6654ms
********** Factor found in step 2: 53078376861500775441655726585136757521797989163
Found probable prime factor of 47 digits: 53078376861500775441655726585136757521797989163
Probable prime cofactor 30940058238615665313403938893991266571394807926612012937315069117082296436341232033 has 83 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
3025e40--
351e6118 / 904Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)

52×10173-619

c112

name 名前Robert Backstrom
date 日付April 5, 2009 03:43:37 UTC 2009 年 4 月 5 日 (日) 12 時 43 分 37 秒 (日本時間)
composite number 合成数
3366285093042122150456621987002021960445506732334155592635888015253782697409856377749511153026058866847194493677<112>
prime factors 素因数
11358246151509454265298361082211131044094523460551505429<56>
296373669679166061270584211220807804253893546318858753913<57>
factorization results 素因数分解の結果
Number: n
N=3366285093042122150456621987002021960445506732334155592635888015253782697409856377749511153026058866847194493677
  ( 112 digits)
Divisors found:

Sun Apr 05 12:27:26 2009  prp56 factor: 11358246151509454265298361082211131044094523460551505429
Sun Apr 05 12:27:26 2009  prp57 factor: 296373669679166061270584211220807804253893546318858753913
Sun Apr 05 12:27:26 2009  elapsed time 00:41:20 (Msieve 1.40 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 16.14 hours.
Scaled time: 42.23 units (timescale=2.616).
Factorization parameters were as follows:
name: KA_5_7_172_1
n: 3366285093042122150456621987002021960445506732334155592635888015253782697409856377749511153026058866847194493677
Y0: -3622036013363435736377
Y1:  481341996359
c0: -1520636057258479594764414408
c1:  196038286467304068605146
c2: -187469281259963629
c3: -111326065901342
c4: -625599852
c5:  5400
skew: 68735.52
type: gnfs
rlim: 3500000
alim: 3500080
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
q0: 1750001
qintsize: 99999
Factor base limits: 3500000/3500080
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [1750001, 2518163)
Primes: RFBsize:250150, AFBsize:250369, largePrimes:16373806 encountered
Relations: rels:14214082, finalFF:505175
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 969515 hash collisions in 16139625 relations
Msieve: matrix is 450646 x 450894 (124.0 MB)

Total sieving time: 15.77 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500080,28,28,56,56,2.6,2.6,100000
total time: 16.14 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 KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)

52×10174-619

c171

name 名前Ignacio Santos
date 日付April 15, 2009 18:52:54 UTC 2009 年 4 月 16 日 (木) 3 時 52 分 54 秒 (日本時間)
composite number 合成数
366866326609802386042147296830133835657995922139677298735016685362739080435442109199173139740794830006843468015605929124247747652408265780543385470682441918710888169266479<171>
prime factors 素因数
4456418495820421423482950428914067<34>
586089258996949155306651521414790973265453349486223<51>
140461764836441451075909139943636759414509330131265327498354115378476241498359801842619<87>
factorization results 素因数分解の結果
Number: 57771_174
N=366866326609802386042147296830133835657995922139677298735016685362739080435442109199173139740794830006843468015605929124247747652408265780543385470682441918710888169266479
  ( 171 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=4456418495820421423482950428914067 (pp34)
 r2=586089258996949155306651521414790973265453349486223 (pp51)
 r3=140461764836441451075909139943636759414509330131265327498354115378476241498359801842619 (pp87)
Version: Msieve-1.39
Total time: 81.98 hours.
Scaled time: 142.24 units (timescale=1.735).
Factorization parameters were as follows:
n: 366866326609802386042147296830133835657995922139677298735016685362739080435442109199173139740794830006843468015605929124247747652408265780543385470682441918710888169266479
m: 100000000000000000000000000000000000
deg: 5
c5: 26
c0: -305
skew: 1.64
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3050000, 7050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1314040 x 1314288
Total sieving time: 81.98 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: 81.98 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)

52×10175-619

c139

name 名前Warut Roonguthai
date 日付January 5, 2012 01:47:19 UTC 2012 年 1 月 5 日 (木) 10 時 47 分 19 秒 (日本時間)
composite number 合成数
1067240128285461468445259542539918196150078406189704100246890436809960463222882730863061767655828822503698481378139174982827171332619672421<139>
prime factors 素因数
67953899370286882283207648818040677412706029<44>
15705355221338726250063237835182497158382934561548209063949198109842333765132996505766290313049<95>
factorization results 素因数分解の結果
N = 1067240128285461468445259542539918196150078406189704100246890436809960463222882730863061767655828822503698481378139174982827171332619672421 (139 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=67953899370286882283207648818040677412706029 (pp44)
r2=15705355221338726250063237835182497158382934561548209063949198109842333765132996505766290313049 (pp95)
Version: Msieve v. 1.48
Total time: 36.15 hours.
Factorization parameters were as follows:
name: (52*10^175-61)/9
n: 1067240128285461468445259542539918196150078406189704100246890436809960463222882730863061767655828822503698481378139174982827171332619672421
Y0: 100000000000000000000000000000000000
Y1: -1
c0: -61
c1: 0
c2: 0
c3: 0
c4: 0
c5: 52
skew: 1.03
type: snfs
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20438478
Relations: 2627826 relations
Pruned matrix : 1479901 x 1480126
Polynomial selection time: 0.00 hours.
Total sieving time: 33.14 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.81 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 36.15 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)
403e62500300Dmitry DomanovApril 7, 2011 07:49:17 UTC 2011 年 4 月 7 日 (木) 16 時 49 分 17 秒 (日本時間)
1200Serge BatalovJuly 10, 2011 22:59:26 UTC 2011 年 7 月 11 日 (月) 7 時 59 分 26 秒 (日本時間)
1000Erik BrangerAugust 10, 2011 19:43:44 UTC 2011 年 8 月 11 日 (木) 4 時 43 分 44 秒 (日本時間)
4511e64000Wataru SakaiAugust 23, 2011 07:27:23 UTC 2011 年 8 月 23 日 (火) 16 時 27 分 23 秒 (日本時間)

52×10176-619

c157

name 名前Robert Backstrom
date 日付January 10, 2012 12:32:58 UTC 2012 年 1 月 10 日 (火) 21 時 32 分 58 秒 (日本時間)
composite number 合成数
2101909552014243632507540589996935607311983621135161772889867062735791457969439644962958258477257541811127703647139654751384298334295234963828406994269540241<157>
prime factors 素因数
88041078358278063866771928558299719903268187616550537<53>
23874191357137228336613442090868461216746509783172014091827099753657630246821711255420136450233643361993<104>
factorization results 素因数分解の結果
Number: n
N=2101909552014243632507540589996935607311983621135161772889867062735791457969439644962958258477257541811127703647139654751384298334295234963828406994269540241
  ( 157 digits)
SNFS difficulty: 177 digits.
Divisors found:

Tue Jan 10 18:29:00 2012  prp53 factor: 88041078358278063866771928558299719903268187616550537
Tue Jan 10 18:29:00 2012  prp104 factor: 23874191357137228336613442090868461216746509783172014091827099753657630246821711255420136450233643361993
Tue Jan 10 18:29:00 2012  elapsed time 02:42:14 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.649).
Factorization parameters were as follows:
name: KA_57771_176
n: 2101909552014243632507540589996935607311983621135161772889867062735791457969439644962958258477257541811127703647139654751384298334295234963828406994269540241
m: 100000000000000000000000000000000000
deg: 5
c5: 520
c0: -61
skew: 0.65
type: snfs
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9246173 hash collisions in 75000099 relations
Msieve: matrix is 1161314 x 1161544 (323.8 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,177,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)
403e62400300Dmitry DomanovApril 7, 2011 07:49:27 UTC 2011 年 4 月 7 日 (木) 16 時 49 分 27 秒 (日本時間)
2100Serge BatalovOctober 13, 2011 07:33:04 UTC 2011 年 10 月 13 日 (木) 16 時 33 分 4 秒 (日本時間)

52×10179-619

c144

name 名前Rich Dickerson
date 日付May 27, 2012 11:41:39 UTC 2012 年 5 月 27 日 (日) 20 時 41 分 39 秒 (日本時間)
composite number 合成数
173809296621416170283710957163153350395198840812548261398583502687064223609697840599846509984423752081363696728553397550656510438509018557766923<144>
prime factors 素因数
675495270888419559305138792214377923<36>
composite cofactor 合成数の残り
257306459589006565285468602727870353642752196518722308512187966448567454567258293251690543450672138494943001<108>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=960132962
Step 1 took 101793ms
Step 2 took 52661ms
********** Factor found in step 2: 675495270888419559305138792214377923
Found probable prime factor of 36 digits: 675495270888419559305138792214377923
Composite cofactor 257306459589006565285468602727870353642752196518722308512187966448567454567258293251690543450672138494943001 has 108 digits
software ソフトウェア
ECM 6.3 [config GMP 5.0.2] [ECM]
execution environment 実行環境
PPC G5, 2.5 GHz, Mac OS X

c108

name 名前Dmitry Domanov
date 日付May 27, 2012 17:55:10 UTC 2012 年 5 月 28 日 (月) 2 時 55 分 10 秒 (日本時間)
composite number 合成数
257306459589006565285468602727870353642752196518722308512187966448567454567258293251690543450672138494943001<108>
prime factors 素因数
186560265135457114690987852716622850256569042040945677<54>
1379213625163870061388866090277262419291172500983959613<55>
factorization results 素因数分解の結果
N=257306459589006565285468602727870353642752196518722308512187966448567454567258293251690543450672138494943001
  ( 108 digits)
Divisors found:
 r1=186560265135457114690987852716622850256569042040945677 (pp54)
 r2=1379213625163870061388866090277262419291172500983959613 (pp55)
Version: Msieve v. 1.48
Total time: 1.36 hours.
Scaled time: 1.94 units (timescale=1.423).
Factorization parameters were as follows:
name: 108
n: 257306459589006565285468602727870353642752196518722308512187966448567454567258293251690543450672138494943001
skew: 21271.22
# norm 2.83e+14
c5: 1380
c4: -889521439
c3: 5169726307644
c2: 399459028858430520
c1: -192506768865836765326
c0: -6975513302022753961764096
# alpha -5.24
Y1: 225979483543
Y0: -714713564425650586237
# Murphy_E 1.30e-09
# M 156700706530703521663105482725992131236927953766158805170118997166348148810829349679818085774794161047798134
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2600001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 299713 x 299937
Polynomial selection time: 1.09 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 1.36 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6300 / 1283Dmitry DomanovApril 7, 2011 07:49:35 UTC 2011 年 4 月 7 日 (木) 16 時 49 分 35 秒 (日本時間)
4511e6300 / 4409Rich DickersonMay 27, 2012 11:35:57 UTC 2012 年 5 月 27 日 (日) 20 時 35 分 57 秒 (日本時間)

52×10181-619

c170

name 名前Robert Backstrom
date 日付February 20, 2012 00:56:21 UTC 2012 年 2 月 20 日 (月) 9 時 56 分 21 秒 (日本時間)
composite number 合成数
55271400080379254581023263407988147618549871332064295005647083956245892264920386584954765841266736508512749860824164666223685654341784949351023968007776176974027131642837<170>
prime factors 素因数
118745356264497893043212815680114882059073827657<48>
465461571038328856825369688235413533522066088395174313981505142517989208343603424800647890609977030121096737537785977757741<123>
factorization results 素因数分解の結果
Number: n
N=55271400080379254581023263407988147618549871332064295005647083956245892264920386584954765841266736508512749860824164666223685654341784949351023968007776176974027131642837
  ( 170 digits)
SNFS difficulty: 182 digits.
Divisors found:

Mon Feb 20 11:47:24 2012  prp48 factor: 118745356264497893043212815680114882059073827657
Mon Feb 20 11:47:24 2012  prp123 factor: 465461571038328856825369688235413533522066088395174313981505142517989208343603424800647890609977030121096737537785977757741
Mon Feb 20 11:47:24 2012  elapsed time 03:13:00 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.671).
Factorization parameters were as follows:
name: KA_57771_181
n: 55271400080379254581023263407988147618549871332064295005647083956245892264920386584954765841266736508512749860824164666223685654341784949351023968007776176974027131642837
m: 1000000000000000000000000000000000000
#  c170, diff: 182.72
skew: 0.65
deg: 5
c5: 520
c0: -61
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6593343 hash collisions in 78474720 relations (74665435 unique)
Msieve: matrix is 1243291 x 1243539 (341.8 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,182,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.76 BogoMIPS (lpj=2797881)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797552)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44761.52 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovApril 7, 2011 07:49:45 UTC 2011 年 4 月 7 日 (木) 16 時 49 分 45 秒 (日本時間)

52×10182-619

c169

name 名前Dmitry Domanov
date 日付January 15, 2014 11:02:26 UTC 2014 年 1 月 15 日 (水) 20 時 2 分 26 秒 (日本時間)
composite number 合成数
5037768819421226699167372009786312999657014484498848921288321652502983790031293090681724939794873066913522442061069938778165384404552350382575354194713165965447896360171<169>
prime factors 素因数
691464974547565244941928753136861566880301<42>
2282441318997560942539823220074142991754198058740843<52>
3192040750696361878812593727013783136709287203782645979984330244478645269797<76>
factorization results 素因数分解の結果
N=5037768819421226699167372009786312999657014484498848921288321652502983790031293090681724939794873066913522442061069938778165384404552350382575354194713165965447896360171
  ( 169 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=691464974547565244941928753136861566880301 (pp42)
 r2=2282441318997560942539823220074142991754198058740843 (pp52)
 r3=3192040750696361878812593727013783136709287203782645979984330244478645269797 (pp76)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 161.11 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 5037768819421226699167372009786312999657014484498848921288321652502983790031293090681724939794873066913522442061069938778165384404552350382575354194713165965447896360171
m: 1000000000000000000000000000000000000
deg: 5
c5: 5200
c0: -61
skew: 0.41
# Murphy_E = 6.236e-11
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4050000, 11850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1737105 x 1737336
Total sieving time: 157.04 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.91 hours.
Time per square root: 0.94 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 161.11 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovApril 7, 2011 07:49:57 UTC 2011 年 4 月 7 日 (木) 16 時 49 分 57 秒 (日本時間)
4511e61450 / 4409600Rich DickersonMay 29, 2012 13:39:36 UTC 2012 年 5 月 29 日 (火) 22 時 39 分 36 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:06:22 UTC 2013 年 11 月 9 日 (土) 2 時 6 分 22 秒 (日本時間)

52×10183-619

c168

name 名前Jo Yeong Uk
date 日付June 17, 2014 22:17:21 UTC 2014 年 6 月 18 日 (水) 7 時 17 分 21 秒 (日本時間)
composite number 合成数
674114864654554986488162792855159094434939237664919158231473754501698789131639836800938132061098811737461530486900611963187774705135192876014849100671522265634299577061<168>
prime factors 素因数
717580549707094863887007265410470518397441054300425121801911438228925497595953069<81>
939427448151595122049067783416077885643718493608380630327983884429624007652683161343769<87>
factorization results 素因数分解の結果
Number: 57771_183
N=674114864654554986488162792855159094434939237664919158231473754501698789131639836800938132061098811737461530486900611963187774705135192876014849100671522265634299577061
  ( 168 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=717580549707094863887007265410470518397441054300425121801911438228925497595953069
 r2=939427448151595122049067783416077885643718493608380630327983884429624007652683161343769
Version: 
Total time: 88.90 hours.
Scaled time: 466.98 units (timescale=5.253).
Factorization parameters were as follows:
n: 674114864654554986488162792855159094434939237664919158231473754501698789131639836800938132061098811737461530486900611963187774705135192876014849100671522265634299577061
m: 2000000000000000000000000000000000000
deg: 5
c5: 1625
c0: -61
skew: 0.52
# Murphy_E = 5.039e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5

Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3700000, 7800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20858838
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1668558 x 1668806
Total sieving time: 82.69 hours.
Total relation processing time: 2.24 hours.
Matrix solve time: 3.55 hours.
Time per square root: 0.42 hours.
Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,54,54,2.5,2.5,100000
total time: 88.90 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
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
351e6118Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovApril 7, 2011 07:50:06 UTC 2011 年 4 月 7 日 (木) 16 時 50 分 6 秒 (日本時間)
4511e6600 / 4409Rich DickersonMay 31, 2012 13:57:22 UTC 2012 年 5 月 31 日 (木) 22 時 57 分 22 秒 (日本時間)

52×10186-619

c187

name 名前Wataru Sakai
date 日付April 14, 2009 13:17:38 UTC 2009 年 4 月 14 日 (火) 22 時 17 分 38 秒 (日本時間)
composite number 合成数
5777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771<187>
prime factors 素因数
1482475847766385096562505037464122985100924080834529<52>
192860932423855597241429916466095224241530870434302299<54>
20208261142197016589293170339084167717687793242636949187506813175574959234255083601<83>
factorization results 素因数分解の結果
Number: 57771_186
N=5777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771
  ( 187 digits)
SNFS difficulty: 188 digits.
Divisors found:
 r1=1482475847766385096562505037464122985100924080834529
 r2=192860932423855597241429916466095224241530870434302299
 r3=20208261142197016589293170339084167717687793242636949187506813175574959234255083601
Version: 
Total time: 393.88 hours.
Scaled time: 684.17 units (timescale=1.737).
Factorization parameters were as follows:
n: 5777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771
m: 20000000000000000000000000000000000000
deg: 5
c5: 65
c0: -244
skew: 1.30
type: snfs
lss: 1
rlim: 9600000
alim: 9600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5Factor base limits: 9600000/9600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4800000, 9100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1926902 x 1927149
Total sieving time: 393.88 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,188,5,0,0,0,0,0,0,0,0,9600000,9600000,28,28,54,54,2.5,2.5,100000
total time: 393.88 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)
786Jo Yeong UkApril 4, 2009 07:00:31 UTC 2009 年 4 月 4 日 (土) 16 時 0 分 31 秒 (日本時間)

52×10187-619

c188

name 名前Dmitry Domanov
date 日付June 18, 2009 11:10:07 UTC 2009 年 6 月 18 日 (木) 20 時 10 分 7 秒 (日本時間)
composite number 合成数
19259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259257<188>
prime factors 素因数
997793808332543677053158286151927821814822559<45>
19301842824064261453747979950422179754811960550020042043615918104333792084576947186435597860092240404685797062886895860454794938508264046395623<143>
factorization results 素因数分解の結果
N=19259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259257
  ( 188 digits)
SNFS difficulty: 189 digits.
Divisors found:
r1=997793808332543677053158286151927821814822559 (pp45)
r2=19301842824064261453747979950422179754811960550020042043615918104333792084576947186435597860092240404685797062886895860454794938508264046395623 (pp143)
Version: Msieve v. 1.41
Total time: 282.71 hours.
Scaled time: 562.03 units (timescale=1.988).
Factorization parameters were as follows:
n: 19259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259257
m: 20000000000000000000000000000000000000
deg: 5
c5: 325
c0: -122
skew: 0.82
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4950000, 9550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1870949 x 1871196
Total sieving time: 276.07 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 5.54 hours.
Time per square root: 0.76 hours.
Prototype def-par.txt line would be:
snfs,189.000,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,100000
total time: 282.71 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
ggnfs/msieve 1.41

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)
403e60--
4511e62100Dmitry DomanovJune 12, 2009 00:48:57 UTC 2009 年 6 月 12 日 (金) 9 時 48 分 57 秒 (日本時間)
5043e61050 / 7081215Dmitry DomanovJune 12, 2009 00:48:57 UTC 2009 年 6 月 12 日 (金) 9 時 48 分 57 秒 (日本時間)
435Dmitry DomanovJune 13, 2009 10:21:27 UTC 2009 年 6 月 13 日 (土) 19 時 21 分 27 秒 (日本時間)
400Dmitry DomanovJune 14, 2009 14:38:39 UTC 2009 年 6 月 14 日 (日) 23 時 38 分 39 秒 (日本時間)

52×10188-619

c163

composite cofactor 合成数の残り
5920355246117375409882179044027088402477338069691815565994252370759008485879284972896315819385863558451034014208184266334519192418000958748478857510520592001895871<163>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)
403e62100300Dmitry DomanovApril 7, 2011 07:50:15 UTC 2011 年 4 月 7 日 (木) 16 時 50 分 15 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:58 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 58 秒 (日本時間)
1500Dmitry DomanovJanuary 15, 2014 12:14:00 UTC 2014 年 1 月 15 日 (水) 21 時 14 分 0 秒 (日本時間)
4511e61000 / 4011Dmitry DomanovFebruary 20, 2014 11:32:12 UTC 2014 年 2 月 20 日 (木) 20 時 32 分 12 秒 (日本時間)

52×10190-619

c174

name 名前Dmitry Domanov
date 日付January 16, 2014 06:07:01 UTC 2014 年 1 月 16 日 (木) 15 時 7 分 1 秒 (日本時間)
composite number 合成数
506435124009923282877105446330903853793311435676244763722946718031899079777052471248286226218306276543345138089259846165145998952434770411668355755522479311580401591955188807<174>
prime factors 素因数
2288452497061316404634234610850572167<37>
221300256247509928898197846941936902262172417861472340150000163476806095085992014252300218609401269233022852650864008206716880896646169921<138>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4058769943
Step 1 took 26992ms
********** Factor found in step 1: 2288452497061316404634234610850572167
Found probable prime factor of 37 digits: 2288452497061316404634234610850572167

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)
403e62100 / 2318300Dmitry DomanovApril 7, 2011 07:50:28 UTC 2011 年 4 月 7 日 (木) 16 時 50 分 28 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:58 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 58 秒 (日本時間)
1500Dmitry DomanovJanuary 15, 2014 12:14:12 UTC 2014 年 1 月 15 日 (水) 21 時 14 分 12 秒 (日本時間)

52×10192-619

c151

name 名前Serge Batalov
date 日付January 9, 2014 05:03:59 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 59 秒 (日本時間)
composite number 合成数
4623216510903568451746414324263910667012202373372632004851981310249279813008808640925203293897067616187814798958553161426866289092909946547029410291891<151>
prime factors 素因数
4233508572217643862419439277859<31>
composite cofactor 合成数の残り
1092053182847763412787530535947440610197679891636668366683498507187083478263235085645964517420634122214061820585456595249<121>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=629927661
Step 1 took 9871ms
Step 2 took 4963ms
********** Factor found in step 2: 4233508572217643862419439277859
Found probable prime factor of 31 digits: 4233508572217643862419439277859
Composite cofactor

c121

name 名前Mitchell Dickerman
date 日付January 13, 2014 19:29:25 UTC 2014 年 1 月 14 日 (火) 4 時 29 分 25 秒 (日本時間)
composite number 合成数
1092053182847763412787530535947440610197679891636668366683498507187083478263235085645964517420634122214061820585456595249<121>
prime factors 素因数
14113735101857568820796971563243512837591305531<47>
77375207552537502261555307194780700730545183983451215812575940563509429379<74>
factorization results 素因数分解の結果
nfs: commencing msieve filtering
1092053182847763412787530535947440610197679891636668366683498507187083478263235085645964517420634122214061820585456595249

commencing relation filtering
estimated available RAM is 16048.3 MB
commencing duplicate removal, pass 1
read 10M relations
found 1023273 hash collisions in 10918956 relations
added 123 free relations
commencing duplicate removal, pass 2
found 721088 duplicates and 10197991 unique relations
memory use: 49.3 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 344.5 MB
reading all ideals from disk
memory use: 293.2 MB
commencing in-memory singleton removal
begin with 10197991 relations and 11039463 unique ideals
reduce to 3935445 relations and 3684138 ideals in 22 passes
max relations containing the same ideal: 76
removing 549575 relations and 491057 ideals in 58518 cliques
commencing in-memory singleton removal
begin with 3385870 relations and 3684138 unique ideals
reduce to 3318063 relations and 3123827 ideals in 11 passes
max relations containing the same ideal: 69
removing 408997 relations and 350479 ideals in 58518 cliques
commencing in-memory singleton removal
begin with 2909066 relations and 3123827 unique ideals
reduce to 2864208 relations and 2727632 ideals in 9 passes
max relations containing the same ideal: 61
relations with 0 large ideals: 480
relations with 1 large ideals: 3128
relations with 2 large ideals: 40244
relations with 3 large ideals: 212480
relations with 4 large ideals: 575727
relations with 5 large ideals: 852975
relations with 6 large ideals: 724812
relations with 7+ large ideals: 454362
commencing 2-way merge
reduce to 1622282 relation sets and 1485707 unique ideals
ignored 1 oversize relation sets
commencing full merge
memory use: 160.8 MB
found 798436 cycles, need 779907
weight of 779907 cycles is about 54661815 (70.09/cycle)
distribution of cycle lengths:
1 relations: 96908
2 relations: 89449
3 relations: 87974
4 relations: 78124
5 relations: 70830
6 relations: 60053
7 relations: 52821
8 relations: 45798
9 relations: 39007
10+ relations: 158943
heaviest cycle: 20 relations
commencing cycle optimization
start with 4684448 relations
pruned 96689 relations
memory use: 159.5 MB
distribution of cycle lengths:
1 relations: 96908
2 relations: 91414
3 relations: 90695
4 relations: 79649
5 relations: 72033
6 relations: 60576
7 relations: 53579
8 relations: 45699
9 relations: 38644
10+ relations: 150710
heaviest cycle: 20 relations
RelProcTime: 259
nfs: commencing msieve linear algebra

commencing linear algebra
read 779907 cycles
cycles contain 2708481 unique relations
read 2708481 relations
using 20 quadratic characters above 134216882
building initial matrix
memory use: 347.7 MB
read 779907 cycles
matrix is 779718 x 779907 (236.6 MB) with weight 74993313 (96.16/col)
sparse part has weight 52668896 (67.53/col)
filtering completed in 2 passes
matrix is 776745 x 776933 (236.3 MB) with weight 74851905 (96.34/col)
sparse part has weight 52618395 (67.73/col)
matrix starts at (0, 0)
matrix is 776745 x 776933 (236.3 MB) with weight 74851905 (96.34/col)
sparse part has weight 52618395 (67.73/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 776697 x 776933 (226.6 MB) with weight 59606058 (76.72/col)
sparse part has weight 51639270 (66.47/col)
using block size 65536 for processor cache size 6144 kB
commencing Lanczos iteration (6 threads)
memory use: 205.3 MB
linear algebra at 0.4%, ETA 0h21m776933 dimensions (0.4%, ETA 0h21m)    
linear algebra completed 776363 of 776933 dimensions (99.9%, ETA 0h 0m)    
lanczos halted after 12284 iterations (dim = 776695)
recovered 31 nontrivial dependencies
BLanczosTime: 1622
nfs: commencing msieve sqrt

commencing square root phase
reading relations for dependency 1
read 388522 cycles
cycles contain 1354852 unique relations
read 1354852 relations
multiplying 1354852 relations
multiply complete, coefficients have about 52.15 million bits
initial square root is modulo 30670823
sqrtTime: 120
NFS elapsed time = 20572.0213 seconds.
pretesting / nfs ratio was 0.12
Total factoring time = 23077.1654 seconds


***factors found***

P74 = 77375207552537502261555307194780700730545183983451215812575940563509429379
P47 = 14113735101857568820796971563243512837591305531
software ソフトウェア
Yafu 1.34.5
execution environment 実行環境
AMD Phenom II 1100T, Ubuntu 13.10

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Dmitry DomanovApril 7, 2011 07:50:35 UTC 2011 年 4 月 7 日 (木) 16 時 50 分 35 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:49:00 UTC 2014 年 1 月 9 日 (木) 13 時 49 分 0 秒 (日本時間)

52×10194-619

c163

name 名前Serge Batalov
date 日付January 9, 2014 08:22:20 UTC 2014 年 1 月 9 日 (木) 17 時 22 分 20 秒 (日本時間)
composite number 合成数
1935372234403357447265891389821258222651257330925986341730985633863067692633396075343208087196374259761238603370595168779908305932849208260702379159172898611400383<163>
prime factors 素因数
494394415335962248877002765548830897<36>
3914632071821015318085384271223366098252709375780617292800432624186723699652442353791074066481169183924609748625967164038128239<127>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3300407892
Step 1 took 12146ms
Step 2 took 5600ms
********** Factor found in step 2: 494394415335962248877002765548830897
Found probable prime factor of 36 digits: 494394415335962248877002765548830897
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Dmitry DomanovApril 7, 2011 07:50:45 UTC 2011 年 4 月 7 日 (木) 16 時 50 分 45 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:49:01 UTC 2014 年 1 月 9 日 (木) 13 時 49 分 1 秒 (日本時間)

52×10195-619

c161

composite cofactor 合成数の残り
20752564917162698010142269239690957204069822228539169068082556670197652640595816049950883978314947261183378264684904053713256206351890932338451512142444388752483<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)
403e62100300Dmitry DomanovApril 7, 2011 07:50:54 UTC 2011 年 4 月 7 日 (木) 16 時 50 分 54 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:49:04 UTC 2014 年 1 月 9 日 (木) 13 時 49 分 4 秒 (日本時間)
1500Dmitry DomanovJanuary 15, 2014 12:14:26 UTC 2014 年 1 月 15 日 (水) 21 時 14 分 26 秒 (日本時間)
4511e61000 / 4011Dmitry DomanovFebruary 20, 2014 11:32:31 UTC 2014 年 2 月 20 日 (木) 20 時 32 分 31 秒 (日本時間)

52×10196-619

c156

composite cofactor 合成数の残り
155112046477078638579828219315745618032482297942836081178136963385077671568438232093475866310186747346590819953372641351201800151730124459807319306168224857<156>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)
403e62100300Dmitry DomanovApril 7, 2011 07:51:03 UTC 2011 年 4 月 7 日 (木) 16 時 51 分 3 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:49:05 UTC 2014 年 1 月 9 日 (木) 13 時 49 分 5 秒 (日本時間)
1500Dmitry DomanovJanuary 15, 2014 12:14:37 UTC 2014 年 1 月 15 日 (水) 21 時 14 分 37 秒 (日本時間)
4511e61500 / 4011Dmitry DomanovMarch 14, 2014 12:26:58 UTC 2014 年 3 月 14 日 (金) 21 時 26 分 58 秒 (日本時間)

52×10197-619

c184

composite cofactor 合成数の残り
6481382382019670446170427971515700780527071047626591964551007687327755574152928256480686809321149148837686690371467250021517252159879045919108950235832877384787153393564633013284686061<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)
403e62100300Dmitry DomanovApril 7, 2011 07:51:15 UTC 2011 年 4 月 7 日 (木) 16 時 51 分 15 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:49:09 UTC 2014 年 1 月 9 日 (木) 13 時 49 分 9 秒 (日本時間)
1500Dmitry DomanovJanuary 15, 2014 12:14:46 UTC 2014 年 1 月 15 日 (水) 21 時 14 分 46 秒 (日本時間)
4511e61000 / 4011Dmitry DomanovMay 14, 2014 12:10:50 UTC 2014 年 5 月 14 日 (水) 21 時 10 分 50 秒 (日本時間)

52×10198-619

c160

composite cofactor 合成数の残り
2824048991220924026483397070590203899753836898497084177521733819564852279667212164783230099694620379711332601944462957036309154490453685624650276693450968432923<160>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)
403e62100300Dmitry DomanovApril 7, 2011 07:51:24 UTC 2011 年 4 月 7 日 (木) 16 時 51 分 24 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:49:10 UTC 2014 年 1 月 9 日 (木) 13 時 49 分 10 秒 (日本時間)
1500Dmitry DomanovJanuary 15, 2014 12:14:58 UTC 2014 年 1 月 15 日 (水) 21 時 14 分 58 秒 (日本時間)
4511e61500 / 4011Dmitry DomanovMarch 14, 2014 12:27:13 UTC 2014 年 3 月 14 日 (金) 21 時 27 分 13 秒 (日本時間)

52×10199-619

c168

name 名前Dmitry Domanov
date 日付April 7, 2011 05:50:52 UTC 2011 年 4 月 7 日 (木) 14 時 50 分 52 秒 (日本時間)
composite number 合成数
725154678685528118207038186575381130430867001273494436843633335176893080312462950700304798669082578433346631509171891227501638831869984765299904905238753256270196593521<168>
prime factors 素因数
624888387152620154830927813123613<33>
1160454720545829793254027260869937598963663037954203724441580519863826055308202785478721398185468348679730115099116432835175864187951717<136>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2124597413
Step 1 took 59984ms
********** Factor found in step 1: 624888387152620154830927813123613
Found probable prime factor of 33 digits: 624888387152620154830927813123613
Probable prime cofactor 1160454720545829793254027260869937598963663037954203724441580519863826055308202785478721398185468348679730115099116432835175864187951717 has 136 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)

52×10201-619

c185

composite cofactor 合成数の残り
25954317051606008904150234786204570600134409655387302407002489827649272730018322550446717616389841977409539185473046946894589439691057825125107925848852738597310651000986321936976567729<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)
403e62100300Dmitry DomanovApril 7, 2011 07:51:39 UTC 2011 年 4 月 7 日 (木) 16 時 51 分 39 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:49:11 UTC 2014 年 1 月 9 日 (木) 13 時 49 分 11 秒 (日本時間)
1500Dmitry DomanovJanuary 15, 2014 12:15:08 UTC 2014 年 1 月 15 日 (水) 21 時 15 分 8 秒 (日本時間)
4511e61000 / 4011Dmitry DomanovMay 14, 2014 12:11:17 UTC 2014 年 5 月 14 日 (水) 21 時 11 分 17 秒 (日本時間)

52×10202-619

c188

name 名前matsui
date 日付October 20, 2010 23:04:02 UTC 2010 年 10 月 21 日 (木) 8 時 4 分 2 秒 (日本時間)
composite number 合成数
79664917060330167861830744980876554488857672430251944016495470931044257353105980786729706588562816231044717566576905989024936409612789386674974525566407962114443267224511482470220697911397<188>
prime factors 素因数
167002059420571272143480696426483892673733522020754987<54>
543084922672130175794156821636210109106271281257724698187863<60>
878370083430766035055772282871645603377573627462016262698613634849432338537<75>
factorization results 素因数分解の結果
N=79664917060330167861830744980876554488857672430251944016495470931044257353105980786729706588562816231044717566576905989024936409612789386674974525566407962114443267224511482470220697911397
  ( 188 digits)
SNFS difficulty: 203 digits.
Divisors found:
 r1=167002059420571272143480696426483892673733522020754987 (pp54)
 r2=543084922672130175794156821636210109106271281257724698187863 (pp60)
 r3=878370083430766035055772282871645603377573627462016262698613634849432338537 (pp75)
Version: Msieve v. 1.48
Total time:
Scaled time: 122.70 units (timescale=1.157).
Factorization parameters were as follows:
n: 79664917060330167861830744980876554488857672430251944016495470931044257353105980786729706588562816231044717566576905989024936409612789386674974525566407962114443267224511482470220697911397
m: 10000000000000000000000000000000000000000
deg: 5
c5: 5200
c0: -61
skew: 0.41
type: snfs
lss: 1
rlim: 17400000
alim: 17400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 800000
Factor base limits: 17400000/17400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8700000, 21500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3161879 x 3162105
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,203.000,5,0,0,0,0,0,0,0,0,17400000,17400000,29,29,56,56,2.6,2.6,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)

52×10204-619

c201

name 名前RSALS + Lionel Debroux + Jeff Gilchrist
date 日付December 22, 2009 06:59:12 UTC 2009 年 12 月 22 日 (火) 15 時 59 分 12 秒 (日本時間)
composite number 合成数
768015123990133959561049817596408052343184604250668320853087568493656490466273797391702482756583514259973119470660345311415363256384125718167988538851226608770141935102722022833680417091290413103519577<201>
prime factors 素因数
3211532119533007796194142514339179383220263052671540257631331121185606037989314798053426139<91>
239142906066221075904871087733166044872867257339926740249703577575802462447115323671565908100642055353656660443<111>
factorization results 素因数分解の結果
Mon Dec 21 06:29:10 2009  Msieve v. 1.43
Mon Dec 21 06:29:10 2009  random seeds: 7dbbed41 b0edb4a0
Mon Dec 21 06:29:10 2009  factoring
768015123990133959561049817596408052343184604250668320853087568493656490466273797391702482756583514259973119470660345311415363256384125718167988538851226608770141935102722022833680417091290413103519577
(201 digits)
Mon Dec 21 06:29:13 2009  no P-1/P+1/ECM available, skipping
Mon Dec 21 06:29:13 2009  commencing number field sieve (201-digit input)
Mon Dec 21 06:29:13 2009  R0: -100000000000000000000000000000000000000000
Mon Dec 21 06:29:13 2009  R1:  1
Mon Dec 21 06:29:13 2009  A0: -305
Mon Dec 21 06:29:13 2009  A1:  0
Mon Dec 21 06:29:13 2009  A2:  0
Mon Dec 21 06:29:13 2009  A3:  0
Mon Dec 21 06:29:13 2009  A4:  0
Mon Dec 21 06:29:13 2009  A5:  26
Mon Dec 21 06:29:13 2009  skew 1.64, size 2.306128e-14, alpha
0.489715, combined = 8.078711e-12
Mon Dec 21 06:29:13 2009
Mon Dec 21 06:29:13 2009  commencing linear algebra
Mon Dec 21 06:29:13 2009  read 2813450 cycles
Mon Dec 21 06:29:20 2009  cycles contain 7921881 unique relations
Mon Dec 21 06:30:39 2009  read 7921881 relations
Mon Dec 21 06:30:55 2009  using 20 quadratic characters above 536868812
Mon Dec 21 06:31:51 2009  building initial matrix
Mon Dec 21 06:34:32 2009  memory use: 1056.5 MB
Mon Dec 21 06:34:35 2009  read 2813450 cycles
Mon Dec 21 06:34:39 2009  matrix is 2812972 x 2813450 (831.2 MB) with
weight 247146150 (87.84/col)
Mon Dec 21 06:34:39 2009  sparse part has weight 186954905 (66.45/col)
Mon Dec 21 06:35:59 2009  filtering completed in 3 passes
Mon Dec 21 06:36:01 2009  matrix is 2806020 x 2806220 (829.9 MB) with
weight 246729422 (87.92/col)
Mon Dec 21 06:36:01 2009  sparse part has weight 186695144 (66.53/col)
Mon Dec 21 06:36:26 2009  read 2806220 cycles
Mon Dec 21 06:36:30 2009  matrix is 2806020 x 2806220 (829.9 MB) with
weight 246729422 (87.92/col)
Mon Dec 21 06:36:30 2009  sparse part has weight 186695144 (66.53/col)
Mon Dec 21 06:36:30 2009  saving the first 48 matrix rows for later
Mon Dec 21 06:36:32 2009  matrix is 2805972 x 2806220 (790.2 MB) with
weight 195218319 (69.57/col)
Mon Dec 21 06:36:32 2009  sparse part has weight 179071456 (63.81/col)
Mon Dec 21 06:36:32 2009  matrix includes 64 packed rows
Mon Dec 21 06:36:33 2009  using block size 65536 for processor cache
size 6144 kB
Mon Dec 21 06:36:49 2009  commencing Lanczos iteration (5 threads)
Mon Dec 21 06:36:49 2009  memory use: 870.2 MB
Mon Dec 21 06:37:03 2009  linear algebra at 0.0%, ETA 13h22m
Mon Dec 21 20:02:14 2009  lanczos halted after 44375 iterations (dim = 2805971)
Mon Dec 21 20:02:21 2009  recovered 36 nontrivial dependencies
Mon Dec 21 20:02:21 2009  BLanczosTime: 48788
Mon Dec 21 20:02:21 2009  elapsed time 13:33:11
Mon Dec 21 20:03:02 2009
Mon Dec 21 20:03:02 2009
Mon Dec 21 20:03:02 2009  Msieve v. 1.43
Mon Dec 21 20:03:02 2009  random seeds: 4c5d3413 72c52ec2
Mon Dec 21 20:03:02 2009  factoring
768015123990133959561049817596408052343184604250668320853087568493656490466273797391702482756583514259973119470660345311415363256384125718167988538851226608770141935102722022833680417091290413103519577
(201 digits)
Mon Dec 21 20:03:04 2009  no P-1/P+1/ECM available, skipping
Mon Dec 21 20:03:04 2009  commencing number field sieve (201-digit input)
Mon Dec 21 20:03:04 2009  R0: -100000000000000000000000000000000000000000
Mon Dec 21 20:03:04 2009  R1:  1
Mon Dec 21 20:03:04 2009  A0: -305
Mon Dec 21 20:03:04 2009  A1:  0
Mon Dec 21 20:03:04 2009  A2:  0
Mon Dec 21 20:03:04 2009  A3:  0
Mon Dec 21 20:03:04 2009  A4:  0
Mon Dec 21 20:03:04 2009  A5:  26
Mon Dec 21 20:03:04 2009  skew 1.64, size 2.306128e-14, alpha
0.489715, combined = 8.078711e-12
Mon Dec 21 20:03:04 2009
Mon Dec 21 20:03:04 2009  commencing square root phase
Mon Dec 21 20:03:04 2009  reading relations for dependency 1
Mon Dec 21 20:03:05 2009  read 1402676 cycles
Mon Dec 21 20:03:08 2009  cycles contain 3955496 unique relations
Mon Dec 21 20:03:55 2009  read 3955496 relations
Mon Dec 21 20:04:25 2009  multiplying 3955496 relations
Mon Dec 21 20:08:13 2009  multiply complete, coefficients have about
114.53 million bits
Mon Dec 21 20:08:14 2009  initial square root is modulo 166254931
Mon Dec 21 20:15:59 2009  reading relations for dependency 2
Mon Dec 21 20:15:59 2009  read 1402788 cycles
Mon Dec 21 20:16:03 2009  cycles contain 3959826 unique relations
Mon Dec 21 20:16:49 2009  read 3959826 relations
Mon Dec 21 20:17:19 2009  multiplying 3959826 relations
Mon Dec 21 20:21:07 2009  multiply complete, coefficients have about
114.66 million bits
Mon Dec 21 20:21:08 2009  initial square root is modulo 169698701
Mon Dec 21 20:28:54 2009  reading relations for dependency 3
Mon Dec 21 20:28:55 2009  read 1403085 cycles
Mon Dec 21 20:28:58 2009  cycles contain 3957196 unique relations
Mon Dec 21 20:29:45 2009  read 3957196 relations
Mon Dec 21 20:30:14 2009  multiplying 3957196 relations
Mon Dec 21 20:34:02 2009  multiply complete, coefficients have about
114.58 million bits
Mon Dec 21 20:34:04 2009  initial square root is modulo 167615221
Mon Dec 21 20:41:49 2009  sqrtTime: 2325
Mon Dec 21 20:41:49 2009  prp91 factor:
3211532119533007796194142514339179383220263052671540257631331121185606037989314798053426139
Mon Dec 21 20:41:49 2009  prp111 factor:
239142906066221075904871087733166044872867257339926740249703577575802462447115323671565908100642055353656660443
Mon Dec 21 20:41:49 2009  elapsed time 00:38:47
software ソフトウェア
ggnfs-lasieve4I14e on the RSALS grid + msieve (Lionel Debroux + Jeff Gilchrist)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61318118Makoto KamadaApril 3, 2009 11:00:00 UTC 2009 年 4 月 3 日 (金) 20 時 0 分 0 秒 (日本時間)
1200Dmitry DomanovJuly 2, 2009 20:33:31 UTC 2009 年 7 月 3 日 (金) 5 時 33 分 31 秒 (日本時間)
403e62500Dmitry DomanovJuly 2, 2009 20:33:31 UTC 2009 年 7 月 3 日 (金) 5 時 33 分 31 秒 (日本時間)

52×10210-619

c197

composite cofactor 合成数の残り
66350656259673174747584488405020048017405891284470547560847406230048096694380558976492464668505530601805998020834563701909685907454848276419892895923928954079836958663652749892736134795688750152991<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e62090290CypDecember 31, 2013 14:43:04 UTC 2013 年 12 月 31 日 (火) 23 時 43 分 4 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:49:12 UTC 2014 年 1 月 9 日 (木) 13 時 49 分 12 秒 (日本時間)
1500Dmitry DomanovJanuary 15, 2014 12:15:20 UTC 2014 年 1 月 15 日 (水) 21 時 15 分 20 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovMay 14, 2014 12:11:45 UTC 2014 年 5 月 14 日 (水) 21 時 11 分 45 秒 (日本時間)

52×10215-619

c181

name 名前Serge Batalov
date 日付January 9, 2014 09:51:22 UTC 2014 年 1 月 9 日 (木) 18 時 51 分 22 秒 (日本時間)
composite number 合成数
1743031578532389118592770896548469784951542104571081475057035445572580637468545167312224033702248458452232968583319822589974304172957359985506686822706284861389556462936094158096571<181>
prime factors 素因数
25954193357140444721535044273321<32>
composite cofactor 合成数の残り
67157994646474003023117527941009728987018096284426114445609808767017860576245036139310501869040343152317328567286124197549352920634542603190997933251<149>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1249671585
Step 1 took 15003ms
Step 2 took 6104ms
********** Factor found in step 2: 25954193357140444721535044273321
Found probable prime factor of 32 digits: 25954193357140444721535044273321
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e62090290CypDecember 31, 2013 15:40:46 UTC 2014 年 1 月 1 日 (水) 0 時 40 分 46 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:49:12 UTC 2014 年 1 月 9 日 (木) 13 時 49 分 12 秒 (日本時間)
1500Dmitry DomanovJanuary 15, 2014 12:15:32 UTC 2014 年 1 月 15 日 (水) 21 時 15 分 32 秒 (日本時間)
4511e638801500Dmitry DomanovMarch 14, 2014 12:27:31 UTC 2014 年 3 月 14 日 (金) 21 時 27 分 31 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:00 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 0 秒 (日本時間)
1480Ignacio SantosJanuary 16, 2016 16:00:24 UTC 2016 年 1 月 17 日 (日) 1 時 0 分 24 秒 (日本時間)
5043e639 / 6603CypJanuary 12, 2014 05:34:19 UTC 2014 年 1 月 12 日 (日) 14 時 34 分 19 秒 (日本時間)

52×10219-619

c213

name 名前Bob Backstrom
date 日付June 13, 2018 01:51:18 UTC 2018 年 6 月 13 日 (水) 10 時 51 分 18 秒 (日本時間)
composite number 合成数
942452525721115284544632222672968266735378705426549210258313006716623537682958354128457692934576594956360188898659584208432220617696797182023450284985863121493748105239976233522191757444328287170649316985624318523<213>
prime factors 素因数
62638891493221226913596461002810793280550820128430157<53>
15045804663115843617032187889371404520550177213145686675386930642035731064519895733752547799780111543718864601737460226619357586319034511795176749217690318723239<161>
factorization results 素因数分解の結果
Number: n
N=942452525721115284544632222672968266735378705426549210258313006716623537682958354128457692934576594956360188898659584208432220617696797182023450284985863121493748105239976233522191757444328287170649316985624318523
  ( 213 digits)
SNFS difficulty: 221 digits.
Divisors found:

Wed Jun 13 11:43:47 2018  p53 factor: 62638891493221226913596461002810793280550820128430157
Wed Jun 13 11:43:47 2018  p161 factor: 15045804663115843617032187889371404520550177213145686675386930642035731064519895733752547799780111543718864601737460226619357586319034511795176749217690318723239
Wed Jun 13 11:43:47 2018  elapsed time 12:08:06 (Msieve 1.53 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.125).
Factorization parameters were as follows:
#
# 52x10^219-61 = 57(218)1
#
n: 942452525721115284544632222672968266735378705426549210258313006716623537682958354128457692934576594956360188898659584208432220617696797182023450284985863121493748105239976233522191757444328287170649316985624318523
m: 2000000000000000000000000000000000000
deg: 6
c6: 1625
c0: -122
skew: 0.65
# Murphy_E = 1.376e-12
type: snfs
lss: 1
rlim: 34000000
alim: 34000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 34000000/34000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 121000000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 17348108 hash collisions in 74831840 relations (58198412 unique)
Msieve: matrix is 5346548 x 5346774 (1510.1 MB)

Sieving start time: 2018/06/09 15:06:27
Sieving end time  : 2018/06/12 23:32:20

Total sieving time: 80hrs 25min 53secs.Total relation processing time: 11hrs 34min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 0sec.

Prototype def-par.txt line would be:
snfs,221,6,0,0,0,0,0,0,0,0,34000000,34000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.036000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16286860K/16703460K available (12300K kernel code, 2470K rwdata, 4240K rodata, 2404K init, 2416K bss, 416600K reserved, 0K cma-reserved)
[    0.068658] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.63 BogoMIPS (lpj=11977272)
[    0.066211] smpboot: Total of 16 processors activated (95818.17 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e62090290CypDecember 31, 2013 16:58:57 UTC 2014 年 1 月 1 日 (水) 1 時 58 分 57 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:49:13 UTC 2014 年 1 月 9 日 (木) 13 時 49 分 13 秒 (日本時間)
1500Dmitry DomanovJanuary 15, 2014 12:15:42 UTC 2014 年 1 月 15 日 (水) 21 時 15 分 42 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovMay 14, 2014 12:12:11 UTC 2014 年 5 月 14 日 (水) 21 時 12 分 11 秒 (日本時間)

52×10220-619

c181

name 名前Serge Batalov
date 日付January 9, 2014 09:53:02 UTC 2014 年 1 月 9 日 (木) 18 時 53 分 2 秒 (日本時間)
composite number 合成数
2205496637828167058507858690828993624617727988276569501714563779624159487162615250131742585182692390380961221739112286558032525584516983690059235710588329562681880081718483734857649<181>
prime factors 素因数
122177894126261317477892117804464245341<39>
composite cofactor 合成数の残り
18051519496227021431850671384266906048027538291441915214946603947351564680567047481310665960695570365498987899425522133108864092132655352620389<143>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1148112491
Step 1 took 15179ms
Step 2 took 6106ms
********** Factor found in step 2: 122177894126261317477892117804464245341
Found probable prime factor of 39 digits: 122177894126261317477892117804464245341
Composite cofactor 

c143

name 名前Ignacio Santos
date 日付December 20, 2015 20:42:31 UTC 2015 年 12 月 21 日 (月) 5 時 42 分 31 秒 (日本時間)
composite number 合成数
18051519496227021431850671384266906048027538291441915214946603947351564680567047481310665960695570365498987899425522133108864092132655352620389<143>
prime factors 素因数
229732769673278444789929469179890305513264352036151<51>
78576162738557270363438779022518594607226887805525645769922611148708886175577980733137385539<92>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3771128297
Step 1 took 37250ms
Step 2 took 20875ms
********** Factor found in step 2: 229732769673278444789929469179890305513264352036151
Found probable prime factor of 51 digits: 229732769673278444789929469179890305513264352036151
Probable prime cofactor 78576162738557270363438779022518594607226887805525645769922611148708886175577980733137385539 has 92 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 KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e62090290CypDecember 31, 2013 17:56:33 UTC 2014 年 1 月 1 日 (水) 2 時 56 分 33 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:49:14 UTC 2014 年 1 月 9 日 (木) 13 時 49 分 14 秒 (日本時間)
1500Dmitry DomanovJanuary 15, 2014 12:15:55 UTC 2014 年 1 月 15 日 (水) 21 時 15 分 55 秒 (日本時間)
4511e63530 / 4013230Ignacio SantosFebruary 5, 2014 22:45:38 UTC 2014 年 2 月 6 日 (木) 7 時 45 分 38 秒 (日本時間)
1500Dmitry DomanovMarch 14, 2014 12:27:46 UTC 2014 年 3 月 14 日 (金) 21 時 27 分 46 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:41 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 41 秒 (日本時間)

52×10221-619

c192

composite cofactor 合成数の残り
282567262900524033526330900719883709869498235767416714009084122723158572837047193766681231783732925977219519161998220254784533941021828337115803030657521891293397245357393460801643755320151019<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:24:30 UTC 2014 年 1 月 7 日 (火) 5 時 24 分 30 秒 (日本時間)
403e62070270CypDecember 31, 2013 18:51:01 UTC 2014 年 1 月 1 日 (水) 3 時 51 分 1 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:49:15 UTC 2014 年 1 月 9 日 (木) 13 時 49 分 15 秒 (日本時間)
1500Dmitry DomanovJanuary 15, 2014 12:16:07 UTC 2014 年 1 月 15 日 (水) 21 時 16 分 7 秒 (日本時間)
4511e61500 / 3981Dmitry DomanovMay 14, 2014 12:12:34 UTC 2014 年 5 月 14 日 (水) 21 時 12 分 34 秒 (日本時間)

52×10222-619

c124

name 名前Erik Branger
date 日付November 1, 2013 22:40:34 UTC 2013 年 11 月 2 日 (土) 7 時 40 分 34 秒 (日本時間)
composite number 合成数
1630524839099844609849707854043365102755742249880613488886404424918189379610159408463008268862676167917672555034381858545601<124>
prime factors 素因数
71792806786592907018267108336559555675174515454789<50>
22711534930604499926337980446633861731814615019848931016433333498450322509<74>
factorization results 素因数分解の結果
Number: 57771_222
N = 1630524839099844609849707854043365102755742249880613488886404424918189379610159408463008268862676167917672555034381858545601 (124 digits)
Divisors found:
r1=71792806786592907018267108336559555675174515454789 (pp50)
r2=22711534930604499926337980446633861731814615019848931016433333498450322509 (pp74)
Version: Msieve v. 1.51 (SVN 845)
Total time: 26.80 hours.
Factorization parameters were as follows:
# Murphy_E = 1.753e-10, selected by Erik Branger
n: 1630524839099844609849707854043365102755742249880613488886404424918189379610159408463008268862676167917672555034381858545601
Y0: -567422094351652042372899
Y1: 3091988675927
c0: 207334046780585839360038001880
c1: -4849474858902645835187644
c2: -185863096611634221182
c3: 580799779659679
c4: 34919694702
c5: 27720
skew: 96883.49
type: gnfs
# selected mechanically
rlim: 6400000
alim: 6400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10475916
Relations: 1511644 relations
Pruned matrix : 891639 x 891865
Polynomial selection time: 0.00 hours.
Total sieving time: 26.13 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.54 hours.
time per square root: 0.08 hours.
Prototype def-par.txt line would be: gnfs,123,5,65,2000,1e-05,0.28,250,20,50000,3600,6400000,6400000,27,27,52,52,2.5,2.5,100000
total time: 26.80 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e6280KTakahashiOctober 17, 2013 17:08:13 UTC 2013 年 10 月 18 日 (金) 2 時 8 分 13 秒 (日本時間)
4511e6690 / 4413230Ignacio SantosOctober 20, 2013 22:04:05 UTC 2013 年 10 月 21 日 (月) 7 時 4 分 5 秒 (日本時間)
230Ignacio SantosOctober 21, 2013 21:13:05 UTC 2013 年 10 月 22 日 (火) 6 時 13 分 5 秒 (日本時間)
230Ignacio SantosOctober 22, 2013 13:08:06 UTC 2013 年 10 月 22 日 (火) 22 時 8 分 6 秒 (日本時間)

52×10223-619

c196

composite cofactor 合成数の残り
1610381357152980951450310967047359406302245895151840569132496508676172751986306524035488272600771154228622583728251296096783382248315967363613337826347665365542015894533342060986548152084040816049<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 2, 2014 16:47:47 UTC 2014 年 1 月 3 日 (金) 1 時 47 分 47 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:49:16 UTC 2014 年 1 月 9 日 (木) 13 時 49 分 16 秒 (日本時間)
1500Dmitry DomanovJanuary 15, 2014 12:16:19 UTC 2014 年 1 月 15 日 (水) 21 時 16 分 19 秒 (日本時間)
4511e61567 / 401367CypMarch 9, 2014 11:21:04 UTC 2014 年 3 月 9 日 (日) 20 時 21 分 4 秒 (日本時間)
1500Dmitry DomanovMay 14, 2014 12:12:51 UTC 2014 年 5 月 14 日 (水) 21 時 12 分 51 秒 (日本時間)

52×10224-619

c154

composite cofactor 合成数の残り
7583104557038594890808502496576069703856338089313584303269693903116032358555551623957510102298662459741423516325499461435475239206615197892966514064720021<154>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 22, 2013 17:34:53 UTC 2013 年 10 月 23 日 (水) 2 時 34 分 53 秒 (日本時間)
403e6110Ignacio SantosOctober 22, 2013 17:34:53 UTC 2013 年 10 月 23 日 (水) 2 時 34 分 53 秒 (日本時間)
4511e6444432Ignacio SantosOctober 22, 2013 17:34:53 UTC 2013 年 10 月 23 日 (水) 2 時 34 分 53 秒 (日本時間)
230Ignacio SantosOctober 27, 2013 17:15:11 UTC 2013 年 10 月 28 日 (月) 2 時 15 分 11 秒 (日本時間)
230Ignacio SantosOctober 29, 2013 22:19:05 UTC 2013 年 10 月 30 日 (水) 7 時 19 分 5 秒 (日本時間)
230Ignacio SantosOctober 30, 2013 15:24:25 UTC 2013 年 10 月 31 日 (木) 0 時 24 分 25 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:52 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 52 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:47 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 47 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:43 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 43 秒 (日本時間)
400Serge BatalovJune 23, 2015 21:29:43 UTC 2015 年 6 月 24 日 (水) 6 時 29 分 43 秒 (日本時間)
1172Ignacio SantosJanuary 9, 2016 20:48:54 UTC 2016 年 1 月 10 日 (日) 5 時 48 分 54 秒 (日本時間)

52×10225-619

c208

name 名前Cyp
date 日付February 7, 2014 15:02:53 UTC 2014 年 2 月 8 日 (土) 0 時 2 分 53 秒 (日本時間)
composite number 合成数
1832237939734972240901459752904087428610526891105714549082319819438590666692758657761765698060279956581212741772525968518383173415691901462920762046410564254907380602480819487024616341523894829683767336152833<208>
prime factors 素因数
26154285197610571194435340839201634681813<41>
70054980508599930282246029918080489112630930349282623467764953820805007168790537346171943233732461103136945376819619097787786207162393702672207837873983807077777084541<167>
factorization results 素因数分解の結果
Run 17 out of 94:
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3621797229
Step 1 took 271248ms
Step 2 took 65419ms
********** Factor found in step 2: 26154285197610571194435340839201634681813
Found probable prime factor of 41 digits: 26154285197610571194435340839201634681813
Probable prime cofactor 70054980508599930282246029918080489112630930349282623467764953820805007168790537346171943233732461103136945376819619097787786207162393702672207837873983807077777084541 has 167 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e62090 / 2156290CypJanuary 2, 2014 04:06:08 UTC 2014 年 1 月 2 日 (木) 13 時 6 分 8 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:49:16 UTC 2014 年 1 月 9 日 (木) 13 時 49 分 16 秒 (日本時間)
1500Dmitry DomanovJanuary 15, 2014 12:16:38 UTC 2014 年 1 月 15 日 (水) 21 時 16 分 38 秒 (日本時間)
4511e60 / 3953--
5043e617 / 7474CypFebruary 7, 2014 15:02:51 UTC 2014 年 2 月 8 日 (土) 0 時 2 分 51 秒 (日本時間)

52×10226-619

c224

name 名前Serge Batalov
date 日付November 8, 2013 08:18:57 UTC 2013 年 11 月 8 日 (金) 17 時 18 分 57 秒 (日本時間)
composite number 合成数
41064518676458974966437653004817183921661533601832109294795861960041064518676458974966437653004817183921661533601832109294795861960041064518676458974966437653004817183921661533601832109294795861960041064518676458974966437653<224>
prime factors 素因数
33112245128356995922745054599573309846703<41>
1240161110105207919702107160820895246306016628970181577167366233485113266624845048390823821676651294391667910711323737291144655068858075970268260026360780863590308223896593100317878651<184>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=547495331
Step 1 took 66771ms
Step 2 took 21560ms
********** Factor found in step 2: 33112245128356995922745054599573309846703
Found probable prime factor of 41 digits: 33112245128356995922745054599573309846703
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)

52×10227-619

c220

name 名前Dmitry Domanov
date 日付January 16, 2014 06:06:05 UTC 2014 年 1 月 16 日 (木) 15 時 6 分 5 秒 (日本時間)
composite number 合成数
5189482149590050420639313802439825651642799484787812997765210388896568823481613933698894627228634211639315266472578237912793153609610724539100958124808089581934649384210110164492682317707715756889419529406321854898400553<220>
prime factors 素因数
133520149408543246104494032064555220727<39>
composite cofactor 合成数の残り
38866659246398379070700949189488265928716842247066035060844968506442412030179927099774160826797556841322757031898248408243200905477421122619622361136076084326613142654112136916028639<182>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1038568554
Step 1 took 30475ms
Step 2 took 11083ms
********** Factor found in step 2: 133520149408543246104494032064555220727
Found probable prime factor of 39 digits: 133520149408543246104494032064555220727

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:24:31 UTC 2014 年 1 月 7 日 (火) 5 時 24 分 31 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 04:49:17 UTC 2014 年 1 月 9 日 (木) 13 時 49 分 17 秒 (日本時間)
1500Dmitry DomanovJanuary 15, 2014 12:16:49 UTC 2014 年 1 月 15 日 (水) 21 時 16 分 49 秒 (日本時間)
4511e61500 / 4040Dmitry DomanovMay 14, 2014 12:13:13 UTC 2014 年 5 月 14 日 (水) 21 時 13 分 13 秒 (日本時間)

52×10228-619

c214

composite cofactor 合成数の残り
9699796197378627964852809918690090635205097480842202705804857385670913588837327239394725115137746998885057892660030034014857862540183512046174209640948055315286446522936819212708449326967404655908625738154402176163<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 3, 2014 06:17:39 UTC 2014 年 1 月 3 日 (金) 15 時 17 分 39 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:49:18 UTC 2014 年 1 月 9 日 (木) 13 時 49 分 18 秒 (日本時間)
1500Dmitry DomanovJanuary 15, 2014 12:17:02 UTC 2014 年 1 月 15 日 (水) 21 時 17 分 2 秒 (日本時間)
4511e61500 / 3876Dmitry DomanovMay 14, 2014 12:13:32 UTC 2014 年 5 月 14 日 (水) 21 時 13 分 32 秒 (日本時間)
5043e639 / 7137CypJanuary 12, 2014 19:54:56 UTC 2014 年 1 月 13 日 (月) 4 時 54 分 56 秒 (日本時間)

52×10229-619

c178

name 名前Cyp
date 日付January 3, 2014 04:30:25 UTC 2014 年 1 月 3 日 (金) 13 時 30 分 25 秒 (日本時間)
composite number 合成数
2929122372279675711580813359972298774538797311134040560830463681523755583993468138030501275151856890703134183981078694891660388541241690379693897460553784998357859572853295406763<178>
prime factors 素因数
105961442852531400157767314253412618541<39>
composite cofactor 合成数の残り
27643285080179516405741733328062642102798468106290149486539290427568883639799143837941908331427652141748615086955945961062839824385306879543<140>
factorization results 素因数分解の結果
Run 87 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1742218505
Step 1 took 15950ms
Step 2 took 5467ms
********** Factor found in step 2: 105961442852531400157767314253412618541
Found probable prime factor of 39 digits: 105961442852531400157767314253412618541
Composite cofactor 27643285080179516405741733328062642102798468106290149486539290427568883639799143837941908331427652141748615086955945961062839824385306879543 has 140 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c140

name 名前Erik Branger
date 日付June 18, 2016 07:46:39 UTC 2016 年 6 月 18 日 (土) 16 時 46 分 39 秒 (日本時間)
composite number 合成数
27643285080179516405741733328062642102798468106290149486539290427568883639799143837941908331427652141748615086955945961062839824385306879543<140>
prime factors 素因数
676362496118787379163467044821841087164433635210883236193406963<63>
40870517272626267518344553338613011707399569168885776610658133442717699679661<77>
factorization results 素因数分解の結果
Number: 57771_229
N = 27643285080179516405741733328062642102798468106290149486539290427568883639799143837941908331427652141748615086955945961062839824385306879543 (140 digits)
Divisors found:
r1=676362496118787379163467044821841087164433635210883236193406963 (pp63)
r2=40870517272626267518344553338613011707399569168885776610658133442717699679661 (pp77)
Version: Msieve v. 1.51 (SVN 845)
Total time: 290.61 hours.
Factorization parameters were as follows:
# Murphy_E = 2.517e-11, selected by Erik Branger
# expecting poly E from 2.22e-011 to > 2.55e-011
n: 27643285080179516405741733328062642102798468106290149486539290427568883639799143837941908331427652141748615086955945961062839824385306879543
Y0: -2558810390210374030941980899
Y1: 292371472784887
c0: 81024440224319701194960361045860576
c1: 912279706044440477334477032926
c2: 174406074702865793367044
c3: -34460578868001653
c4: -7190128020
c5: 252
skew: 6685143.56
type: gnfs
# selected mechanically
rlim: 17600000
alim: 17600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 17600000/17600000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23250413
Relations: 2928782 relations
Pruned matrix : 1852722 x 1852947
Polynomial selection time: 0.00 hours.
Total sieving time: 286.09 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 3.31 hours.
time per square root: 1.00 hours.
Prototype def-par.txt line would be: gnfs,139,5,65,2000,1e-05,0.28,250,20,50000,3600,17600000,17600000,28,28,55,55,2.6,2.6,100000
total time: 290.61 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e6290CypJanuary 3, 2014 04:30:23 UTC 2014 年 1 月 3 日 (金) 13 時 30 分 23 秒 (日本時間)
4511e64390230Ignacio SantosJanuary 4, 2014 15:29:07 UTC 2014 年 1 月 5 日 (日) 0 時 29 分 7 秒 (日本時間)
230Ignacio SantosJanuary 4, 2014 18:31:05 UTC 2014 年 1 月 5 日 (日) 3 時 31 分 5 秒 (日本時間)
230Ignacio SantosJanuary 4, 2014 20:56:01 UTC 2014 年 1 月 5 日 (日) 5 時 56 分 1 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:24 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 24 秒 (日本時間)
1500Dmitry DomanovMarch 14, 2014 12:28:12 UTC 2014 年 3 月 14 日 (金) 21 時 28 分 12 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:17 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 17 秒 (日本時間)
5043e66 / 6557KTakahashiMay 25, 2014 06:41:53 UTC 2014 年 5 月 25 日 (日) 15 時 41 分 53 秒 (日本時間)

52×10230-619

c215

composite cofactor 合成数の残り
23014894156081655435172206832447254949317778804627514207562223563780475076723672483952474014511786575720349754798560714297980604545191959843731147485837513886137003596622478181679566902641631239598751851771835984833<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 4, 2014 00:34:48 UTC 2014 年 1 月 4 日 (土) 9 時 34 分 48 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:49:19 UTC 2014 年 1 月 9 日 (木) 13 時 49 分 19 秒 (日本時間)
1500Dmitry DomanovJanuary 15, 2014 12:17:19 UTC 2014 年 1 月 15 日 (水) 21 時 17 分 19 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovMay 14, 2014 12:14:01 UTC 2014 年 5 月 14 日 (水) 21 時 14 分 1 秒 (日本時間)

52×10231-619

c230

name 名前Serge Batalov
date 日付November 8, 2013 16:55:35 UTC 2013 年 11 月 9 日 (土) 1 時 55 分 35 秒 (日本時間)
composite number 合成数
38777032065622669649515287099179716629381058911260253542132736763609246830723340790454884414615958240119313944817300521998508575689783743475018642803877703206562266964951528709917971662938105891126025354213273676360924683072334079<230>
prime factors 素因数
421762667393767958267822314463598944371<39>
composite cofactor 合成数の残り
91940408821009951043763951956953182044572792032100775971967079357692355428563828741263130548556773940077470185200624115235047669737172446143189635391692196162267458764457616615012109294906949<191>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=95089112
Step 1 took 66902ms
Step 2 took 22042ms
********** Factor found in step 2: 421762667393767958267822314463598944371
Found probable prime factor of 39 digits: 421762667393767958267822314463598944371
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 3, 2014 06:58:17 UTC 2014 年 1 月 3 日 (金) 15 時 58 分 17 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:49:19 UTC 2014 年 1 月 9 日 (木) 13 時 49 分 19 秒 (日本時間)
1500Dmitry DomanovJanuary 15, 2014 12:17:31 UTC 2014 年 1 月 15 日 (水) 21 時 17 分 31 秒 (日本時間)
4511e61567 / 401367CypMarch 8, 2014 00:21:07 UTC 2014 年 3 月 8 日 (土) 9 時 21 分 7 秒 (日本時間)
1500Dmitry DomanovMay 14, 2014 12:14:19 UTC 2014 年 5 月 14 日 (水) 21 時 14 分 19 秒 (日本時間)

52×10232-619

c160

composite cofactor 合成数の残り
1948895218515059101686605484076482049026650998676581471188703980706618479658639926036063765198398917175729698572987190185289650436004077296137718863381772601721<160>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 22, 2013 17:35:37 UTC 2013 年 10 月 23 日 (水) 2 時 35 分 37 秒 (日本時間)
403e6110Ignacio SantosOctober 22, 2013 17:35:37 UTC 2013 年 10 月 23 日 (水) 2 時 35 分 37 秒 (日本時間)
4511e6197232Ignacio SantosOctober 22, 2013 17:35:37 UTC 2013 年 10 月 23 日 (水) 2 時 35 分 37 秒 (日本時間)
230Ignacio SantosOctober 27, 2013 23:04:34 UTC 2013 年 10 月 28 日 (月) 8 時 4 分 34 秒 (日本時間)
230Ignacio SantosOctober 30, 2013 16:06:57 UTC 2013 年 10 月 31 日 (木) 1 時 6 分 57 秒 (日本時間)
230Ignacio SantosOctober 30, 2013 20:12:15 UTC 2013 年 10 月 31 日 (木) 5 時 12 分 15 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:12:41 UTC 2013 年 11 月 9 日 (土) 2 時 12 分 41 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:27 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 27 秒 (日本時間)
5043e6800 / 7104Erik BrangerJanuary 23, 2014 09:05:47 UTC 2014 年 1 月 23 日 (木) 18 時 5 分 47 秒 (日本時間)

52×10233-619

c214

name 名前Cyp
date 日付January 5, 2014 06:43:33 UTC 2014 年 1 月 5 日 (日) 15 時 43 分 33 秒 (日本時間)
composite number 合成数
5263764461907949929049264955079799854940180229639496357229267913336407292469094774223231188644404992043990888131474754132578066748693464473369469989917220633135200954700588086229693109108859700392522675237825290037<214>
prime factors 素因数
31872018805846508416049757115747<32>
composite cofactor 合成数の残り
165153154996958668285624131907658769705497799207894288119923540993503195717364917483443446116126915147557316510262422937345092294405778280552193639753490145423850418791137607383976071<183>
factorization results 素因数分解の結果
Run 124 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1756364332
Step 1 took 21594ms
Step 2 took 6730ms
********** Factor found in step 2: 31872018805846508416049757115747
Found probable prime factor of 32 digits: 31872018805846508416049757115747
Composite cofactor 165153154996958668285624131907658769705497799207894288119923540993503195717364917483443446116126915147557316510262422937345092294405778280552193639753490145423850418791137607383976071 has 183 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 5, 2014 06:43:32 UTC 2014 年 1 月 5 日 (日) 15 時 43 分 32 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:49:20 UTC 2014 年 1 月 9 日 (木) 13 時 49 分 20 秒 (日本時間)
1500Dmitry DomanovJanuary 15, 2014 12:17:50 UTC 2014 年 1 月 15 日 (水) 21 時 17 分 50 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovMay 14, 2014 12:14:49 UTC 2014 年 5 月 14 日 (水) 21 時 14 分 49 秒 (日本時間)

52×10234-619

c191

name 名前Serge Batalov
date 日付May 19, 2014 06:46:21 UTC 2014 年 5 月 19 日 (月) 15 時 46 分 21 秒 (日本時間)
composite number 合成数
10275439241734664215309853055166629207642833176553371546266445753680105692032156184708068969986071762006349409964973232192023998677920774904485454603656885808850286079402210783488729263173157<191>
prime factors 素因数
63809667160861502688309857381893081258349<41>
161032641274098978734534742048703904293311394168294749564537888008766463282249819109569893107915044464895949987929776199505497202213331531759915658393<150>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2201260494
Step 1 took 50462ms
Step 2 took 25212ms
********** Factor found in step 2: 63809667160861502688309857381893081258349
Found probable prime factor of 41 digits: 63809667160861502688309857381893081258349
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e62090 / 2318290CypJanuary 5, 2014 08:22:51 UTC 2014 年 1 月 5 日 (日) 17 時 22 分 51 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:49:21 UTC 2014 年 1 月 9 日 (木) 13 時 49 分 21 秒 (日本時間)
1500Dmitry DomanovJanuary 15, 2014 12:18:01 UTC 2014 年 1 月 15 日 (水) 21 時 18 分 1 秒 (日本時間)

52×10236-619

c221

composite cofactor 合成数の残り
25213270965537326160700858085095817568415978325362112029457193268934457075885277945461367416721164483197399651092195846211200548397784816836329901643174618395706692013453311325774357975224724533963686221664712260436970461<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 6, 2014 09:03:15 UTC 2014 年 1 月 6 日 (月) 18 時 3 分 15 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:49:21 UTC 2014 年 1 月 9 日 (木) 13 時 49 分 21 秒 (日本時間)
1500Dmitry DomanovJanuary 15, 2014 12:18:15 UTC 2014 年 1 月 15 日 (水) 21 時 18 分 15 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovMay 19, 2014 12:18:13 UTC 2014 年 5 月 19 日 (月) 21 時 18 分 13 秒 (日本時間)

52×10237-619

c221

composite cofactor 合成数の残り
14344740172128900712369284022730958266983980096921927486734828346333094532053920750744540751908061126988906681794273503451136022625099858626621514248920894138164523810202031787576904673230136463949038817591705955564125493<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 2, 2014 14:27:16 UTC 2014 年 1 月 2 日 (木) 23 時 27 分 16 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:49:23 UTC 2014 年 1 月 9 日 (木) 13 時 49 分 23 秒 (日本時間)
1500Dmitry DomanovJanuary 15, 2014 12:18:27 UTC 2014 年 1 月 15 日 (水) 21 時 18 分 27 秒 (日本時間)
4511e61500 / 3683Dmitry DomanovMay 19, 2014 12:18:29 UTC 2014 年 5 月 19 日 (月) 21 時 18 分 29 秒 (日本時間)
5043e694 / 7137CypFebruary 5, 2014 17:35:25 UTC 2014 年 2 月 6 日 (木) 2 時 35 分 25 秒 (日本時間)

52×10239-619

c179

composite cofactor 合成数の残り
64565898634867557698924991757637943412085942125702320060872012775823741753877196723405849113218252699098416282817841089178139953187862081586507060701884415350171472797255836647223<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 6, 2014 02:46:49 UTC 2014 年 1 月 6 日 (月) 11 時 46 分 49 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:49:24 UTC 2014 年 1 月 9 日 (木) 13 時 49 分 24 秒 (日本時間)
1500Dmitry DomanovJanuary 15, 2014 12:18:38 UTC 2014 年 1 月 15 日 (水) 21 時 18 分 38 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovMay 14, 2014 12:15:22 UTC 2014 年 5 月 14 日 (水) 21 時 15 分 22 秒 (日本時間)

52×10240-619

c192

name 名前Cyp
date 日付January 3, 2014 22:52:56 UTC 2014 年 1 月 4 日 (土) 7 時 52 分 56 秒 (日本時間)
composite number 合成数
678821244367975199097408477552417315528890033241897854554749275234957336409073133920222004502824089105031921154557946309612622324876133287536041630360865613075676490097588428651627470556451427<192>
prime factors 素因数
25932941495337002145942412311061<32>
104462706322848953820240615954299<33>
250577673275044908657792646575240887770047142384450595677803605085493228896652679261492951444278107083860277713542321419391455893<129>
factorization results 素因数分解の結果
Run 17 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=902253958
Step 1 took 15722ms
********** Factor found in step 1: 104462706322848953820240615954299
Found probable prime factor of 33 digits: 104462706322848953820240615954299
Composite cofactor 6498216141079409873339102472837362500000328655564006601031212484359576934021578452353541498720021562644057369879309987707030641695893037331293474253359577532473 has 160 digits
--
Run 146 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3389131416
Step 1 took 13659ms
Step 2 took 4928ms
********** Factor found in step 2: 25932941495337002145942412311061
Found probable prime factor of 32 digits: 25932941495337002145942412311061
Probable prime cofactor 250577673275044908657792646575240887770047142384450595677803605085493228896652679261492951444278107083860277713542321419391455893 has 129 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 495Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e6146 / 2318CypJanuary 3, 2014 22:52:55 UTC 2014 年 1 月 4 日 (土) 7 時 52 分 55 秒 (日本時間)

52×10241-619

c210

composite cofactor 合成数の残り
205070864263199244221259466092217249825376070027101223623080326787274279044746260032473660292935743709583314435342009458317353734312844644947847545309938596369396282107992853806383591523084178091000551432767937<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 6, 2014 20:09:26 UTC 2014 年 1 月 7 日 (火) 5 時 9 分 26 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:49:24 UTC 2014 年 1 月 9 日 (木) 13 時 49 分 24 秒 (日本時間)
1500Dmitry DomanovJanuary 15, 2014 12:18:52 UTC 2014 年 1 月 15 日 (水) 21 時 18 分 52 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovMay 19, 2014 12:18:49 UTC 2014 年 5 月 19 日 (月) 21 時 18 分 49 秒 (日本時間)

52×10243-619

c239

composite cofactor 合成数の残り
38530591437168831419029814527070333889803990435521648635090846983906809318771733661732528043972296504756675610209717563355036429933230930876859934631369681018571004099803123497214312336383918813079950236259213071947728806878006960699537707<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e60--
4511e62050850Serge BatalovNovember 8, 2013 17:17:41 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 41 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:30:07 UTC 2014 年 1 月 6 日 (月) 11 時 30 分 7 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:09 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 9 秒 (日本時間)
5043e6700 / 7093Dmitry DomanovMay 12, 2014 12:57:29 UTC 2014 年 5 月 12 日 (月) 21 時 57 分 29 秒 (日本時間)

52×10244-619

c211

composite cofactor 合成数の残り
1091987048584813335666153311730122569077316244967872553672822018668251334250886028658496583246575426010280856176288419657058619612654429321073047399163497360202754008776787715294258908797627047712474173143797709<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 1, 2014 19:02:19 UTC 2014 年 1 月 2 日 (木) 4 時 2 分 19 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:49:25 UTC 2014 年 1 月 9 日 (木) 13 時 49 分 25 秒 (日本時間)
1500Dmitry DomanovJanuary 15, 2014 12:19:16 UTC 2014 年 1 月 15 日 (水) 21 時 19 分 16 秒 (日本時間)
4511e61500 / 3683Dmitry DomanovMay 19, 2014 12:19:14 UTC 2014 年 5 月 19 日 (月) 21 時 19 分 14 秒 (日本時間)
5043e694 / 7137CypFebruary 5, 2014 16:14:13 UTC 2014 年 2 月 6 日 (木) 1 時 14 分 13 秒 (日本時間)

52×10246-619

c235

composite cofactor 合成数の残り
2521655639174495733331862506803863996822964373798350749954732151738378354034009617847437443758077569221638095332442823114042982638341452635628408850532147138778465136285060921249520446646351933200148348642459832831602316706356342177771<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 2, 2014 12:04:36 UTC 2014 年 1 月 2 日 (木) 21 時 4 分 36 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:49:26 UTC 2014 年 1 月 9 日 (木) 13 時 49 分 26 秒 (日本時間)
1500Dmitry DomanovJanuary 15, 2014 12:19:34 UTC 2014 年 1 月 15 日 (水) 21 時 19 分 34 秒 (日本時間)
4511e61500 / 3683Dmitry DomanovMay 19, 2014 12:19:31 UTC 2014 年 5 月 19 日 (月) 21 時 19 分 31 秒 (日本時間)
5043e694 / 7137CypFebruary 10, 2014 06:20:26 UTC 2014 年 2 月 10 日 (月) 15 時 20 分 26 秒 (日本時間)

52×10247-619

c226

name 名前Serge Batalov
date 日付January 6, 2014 22:06:48 UTC 2014 年 1 月 7 日 (火) 7 時 6 分 48 秒 (日本時間)
composite number 合成数
1692139034330185356892028961050082664834511343197916329187992770840256447743195427985674272523580616894307199895799531624277935603324462075786566781397875136632930164214088744853344633826398246933889225921144360620137333556691<226>
prime factors 素因数
88265001555523965722771026505701<32>
19171121106996510793466225215693932183678757447912411866135429874411109043581727185977983872382017940416398595013797599222343285831416265392072707463960103044909037655103919891067528298476507991<194>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3891576598
Step 1 took 6017ms
Step 2 took 3786ms
********** Factor found in step 2: 88265001555523965722771026505701
Found probable prime factor of 32 digits: 88265001555523965722771026505701
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:24:33 UTC 2014 年 1 月 7 日 (火) 5 時 24 分 33 秒 (日本時間)

52×10248-619

c230

composite cofactor 合成数の残り
55434932514292487180821581098930921232308003591535255686412768661025940280221012449559874001267475848936010458911790083100481924449854966244824350406568592320689362511755621049738381980773783223358525479166306353720245684168262931<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 4, 2014 02:14:13 UTC 2014 年 1 月 4 日 (土) 11 時 14 分 13 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:49:26 UTC 2014 年 1 月 9 日 (木) 13 時 49 分 26 秒 (日本時間)
1500Dmitry DomanovJanuary 15, 2014 12:19:46 UTC 2014 年 1 月 15 日 (水) 21 時 19 分 46 秒 (日本時間)
4511e61500 / 3683Dmitry DomanovMay 19, 2014 12:19:44 UTC 2014 年 5 月 19 日 (月) 21 時 19 分 44 秒 (日本時間)
5043e694 / 7137CypFebruary 6, 2014 16:24:06 UTC 2014 年 2 月 7 日 (金) 1 時 24 分 6 秒 (日本時間)

52×10249-619

c245

composite cofactor 合成数の残り
77797376732300722767551911047676327006312060239107245179928875244425892762300588118246028219502306243389093107002811178286153712655389039247280458047016545407486202186405506857389927932699284712965082442777785258294771268231890042384609285116913<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e60--
4511e6850Serge BatalovNovember 8, 2013 17:18:08 UTC 2013 年 11 月 9 日 (土) 2 時 18 分 8 秒 (日本時間)
5043e62775 / 6205775Serge BatalovNovember 25, 2013 02:18:15 UTC 2013 年 11 月 25 日 (月) 11 時 18 分 15 秒 (日本時間)
2000Serge BatalovJanuary 4, 2014 09:51:01 UTC 2014 年 1 月 4 日 (土) 18 時 51 分 1 秒 (日本時間)
5511e7480 / 16726Serge BatalovJanuary 4, 2014 00:25:43 UTC 2014 年 1 月 4 日 (土) 9 時 25 分 43 秒 (日本時間)

52×10250-619

c185

composite cofactor 合成数の残り
52932228314028389399675013600127714898517696875829305131706285090244658798789757758396350068847921710335940894828229242911752149186431126220988606518906945699603158869528729093361143593<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:24:34 UTC 2014 年 1 月 7 日 (火) 5 時 24 分 34 秒 (日本時間)
403e62100300Serge BatalovJanuary 9, 2014 04:49:27 UTC 2014 年 1 月 9 日 (木) 13 時 49 分 27 秒 (日本時間)
1800Dmitry DomanovJanuary 13, 2014 11:27:23 UTC 2014 年 1 月 13 日 (月) 20 時 27 分 23 秒 (日本時間)
4511e60--
5043e61000 / 7314600Dmitry DomanovFebruary 20, 2014 11:25:30 UTC 2014 年 2 月 20 日 (木) 20 時 25 分 30 秒 (日本時間)
400Dmitry DomanovFebruary 21, 2014 05:53:48 UTC 2014 年 2 月 21 日 (金) 14 時 53 分 48 秒 (日本時間)
5511e760 / 17391Dmitry DomanovMarch 11, 2014 11:44:41 UTC 2014 年 3 月 11 日 (火) 20 時 44 分 41 秒 (日本時間)
6026e72 / 41875Dmitry DomanovMarch 11, 2014 11:44:53 UTC 2014 年 3 月 11 日 (火) 20 時 44 分 53 秒 (日本時間)