Table of contents 目次

49×10111+419

c104

name 名前Ignacio Santos
date 日付March 25, 2009 15:51:38 UTC 2009 年 3 月 26 日 (木) 0 時 51 分 38 秒 (日本時間)
composite number 合成数
19838135141191171779982639129717270529561053960298031640271697900492627494930363552518843950035039632511<104>
prime factors 素因数
971722182165766413416910057805321<33>
2903609920526649428880059207607911<34>
7031054367157515839501298639415675681<37>
factorization results 素因数分解の結果
Number: 54449_111
N=19838135141191171779982639129717270529561053960298031640271697900492627494930363552518843950035039632511
  ( 104 digits)
SNFS difficulty: 112 digits.
Divisors found:
 r1=971722182165766413416910057805321 (pp33)
 r2=2903609920526649428880059207607911 (pp34)
 r3=7031054367157515839501298639415675681 (pp37)
Version: Msieve-1.39
Total time: 0.94 hours.
Scaled time: 1.12 units (timescale=1.190).
Factorization parameters were as follows:
n: 19838135141191171779982639129717270529561053960298031640271697900492627494930363552518843950035039632511
m: 10000000000000000000000
deg: 5
c5: 490
c0: 41
skew: 0.61
type: snfs
lss: 1
rlim: 530000
alim: 530000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 530000/530000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [265000, 465001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 58703 x 58941
Total sieving time: 0.94 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,112,5,0,0,0,0,0,0,0,0,530000,530000,25,25,45,45,2.2,2.2,50000
total time: 0.94 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)

49×10115+419

c101

name 名前Ignacio Santos
date 日付March 25, 2009 16:17:56 UTC 2009 年 3 月 26 日 (木) 1 時 17 分 56 秒 (日本時間)
composite number 合成数
11354661865653982362261839676089086822686511351795352067983241640600745659167261885722919030896288159<101>
prime factors 素因数
10186924979578406583472433052629<32>
16338425213924652585496712373192443<35>
68221443328719721898218651146386297<35>
factorization results 素因数分解の結果
Number: 54449_115
N=11354661865653982362261839676089086822686511351795352067983241640600745659167261885722919030896288159
  ( 101 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=10186924979578406583472433052629 (pp32)
 r2=16338425213924652585496712373192443 (pp35)
 r3=68221443328719721898218651146386297 (pp35)
Version: Msieve-1.39
Total time: 1.04 hours.
Scaled time: 1.24 units (timescale=1.193).
Factorization parameters were as follows:
n: 11354661865653982362261839676089086822686511351795352067983241640600745659167261885722919030896288159
m: 100000000000000000000000
deg: 5
c5: 49
c0: 41
skew: 0.96
type: snfs
lss: 1
rlim: 620000
alim: 620000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 620000/620000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [310000, 510001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 64279 x 64517
Total sieving time: 1.04 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,620000,620000,25,25,45,45,2.2,2.2,50000
total time: 1.04 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)

49×10117+419

c95

name 名前Robert Backstrom
date 日付March 26, 2009 04:56:28 UTC 2009 年 3 月 26 日 (木) 13 時 56 分 28 秒 (日本時間)
composite number 合成数
18007503067777487071137242913972238984183195788228068696022682661075151599635220265841495705393<95>
prime factors 素因数
336604968389700345229006632632467724043359<42>
53497436933044664478816389244926048170274046484553327<53>
factorization results 素因数分解の結果
Thu Mar 26 12:17:04 2009  
Thu Mar 26 12:17:04 2009  
Thu Mar 26 12:17:04 2009  Msieve v. 1.39
Thu Mar 26 12:17:04 2009  random seeds: 51e810a4 dba85ca5
Thu Mar 26 12:17:04 2009  factoring 18007503067777487071137242913972238984183195788228068696022682661075151599635220265841495705393 (95 digits)
Thu Mar 26 12:17:04 2009  searching for 15-digit factors
Thu Mar 26 12:17:05 2009  commencing quadratic sieve (95-digit input)
Thu Mar 26 12:17:05 2009  using multiplier of 17
Thu Mar 26 12:17:05 2009  using 64kb Opteron sieve core
Thu Mar 26 12:17:05 2009  sieve interval: 18 blocks of size 65536
Thu Mar 26 12:17:05 2009  processing polynomials in batches of 6
Thu Mar 26 12:17:05 2009  using a sieve bound of 2117273 (78824 primes)
Thu Mar 26 12:17:05 2009  using large prime bound of 309121858 (28 bits)
Thu Mar 26 12:17:05 2009  using double large prime bound of 1915285337885478 (43-51 bits)
Thu Mar 26 12:17:05 2009  using trial factoring cutoff of 51 bits
Thu Mar 26 12:17:05 2009  polynomial 'A' values have 12 factors
Thu Mar 26 14:53:41 2009  78965 relations (19422 full + 59543 combined from 1158503 partial), need 78920
Thu Mar 26 14:53:43 2009  begin with 1177925 relations
Thu Mar 26 14:53:44 2009  reduce to 204547 relations in 11 passes
Thu Mar 26 14:53:44 2009  attempting to read 204547 relations
Thu Mar 26 14:53:47 2009  recovered 204547 relations
Thu Mar 26 14:53:47 2009  recovered 189076 polynomials
Thu Mar 26 14:53:47 2009  attempting to build 78965 cycles
Thu Mar 26 14:53:47 2009  found 78965 cycles in 5 passes
Thu Mar 26 14:53:48 2009  distribution of cycle lengths:
Thu Mar 26 14:53:48 2009     length 1 : 19422
Thu Mar 26 14:53:48 2009     length 2 : 13884
Thu Mar 26 14:53:48 2009     length 3 : 13302
Thu Mar 26 14:53:48 2009     length 4 : 10834
Thu Mar 26 14:53:48 2009     length 5 : 8180
Thu Mar 26 14:53:48 2009     length 6 : 5355
Thu Mar 26 14:53:48 2009     length 7 : 3494
Thu Mar 26 14:53:48 2009     length 9+: 4494
Thu Mar 26 14:53:48 2009  largest cycle: 20 relations
Thu Mar 26 14:53:48 2009  matrix is 78824 x 78965 (21.3 MB) with weight 5257190 (66.58/col)
Thu Mar 26 14:53:48 2009  sparse part has weight 5257190 (66.58/col)
Thu Mar 26 14:53:49 2009  filtering completed in 4 passes
Thu Mar 26 14:53:49 2009  matrix is 75072 x 75136 (20.4 MB) with weight 5039369 (67.07/col)
Thu Mar 26 14:53:49 2009  sparse part has weight 5039369 (67.07/col)
Thu Mar 26 14:53:49 2009  saving the first 48 matrix rows for later
Thu Mar 26 14:53:49 2009  matrix is 75024 x 75136 (13.8 MB) with weight 4076805 (54.26/col)
Thu Mar 26 14:53:49 2009  sparse part has weight 3163131 (42.10/col)
Thu Mar 26 14:53:49 2009  matrix includes 64 packed rows
Thu Mar 26 14:53:49 2009  using block size 30054 for processor cache size 1024 kB
Thu Mar 26 14:53:50 2009  commencing Lanczos iteration
Thu Mar 26 14:53:50 2009  memory use: 12.7 MB
Thu Mar 26 14:54:31 2009  lanczos halted after 1188 iterations (dim = 75022)
Thu Mar 26 14:54:32 2009  recovered 16 nontrivial dependencies
Thu Mar 26 14:54:33 2009  prp42 factor: 336604968389700345229006632632467724043359
Thu Mar 26 14:54:33 2009  prp53 factor: 53497436933044664478816389244926048170274046484553327
Thu Mar 26 14:54:33 2009  elapsed time 02:37:29

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)

49×10122+419

c111

name 名前Ignacio Santos
date 日付March 25, 2009 17:37:29 UTC 2009 年 3 月 26 日 (木) 2 時 37 分 29 秒 (日本時間)
composite number 合成数
672203241507509203306318147571058464803415911356671337559948980034010718106973978089196178664520519414524572509<111>
prime factors 素因数
194427825632112280839477791635994595997<39>
3457340734650925945845897206191168163665361420064678013468291084068546497<73>
factorization results 素因数分解の結果
Number: 54449_122
N=672203241507509203306318147571058464803415911356671337559948980034010718106973978089196178664520519414524572509
  ( 111 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=194427825632112280839477791635994595997 (pp39)
 r2=3457340734650925945845897206191168163665361420064678013468291084068546497 (pp73)
Version: Msieve-1.39
Total time: 1.69 hours.
Scaled time: 2.02 units (timescale=1.194).
Factorization parameters were as follows:
n: 672203241507509203306318147571058464803415911356671337559948980034010718106973978089196178664520519414524572509
m: 2000000000000000000000000
deg: 5
c5: 1225
c0: 328
skew: 0.77
type: snfs
lss: 1
rlim: 830000
alim: 830000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 830000/830000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [415000, 765001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 92849 x 93096
Total sieving time: 1.69 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,124,5,0,0,0,0,0,0,0,0,830000,830000,25,25,46,46,2.2,2.2,50000
total time: 1.69 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)

49×10124+419

c106

name 名前Ignacio Santos
date 日付March 25, 2009 20:14:11 UTC 2009 年 3 月 26 日 (木) 5 時 14 分 11 秒 (日本時間)
composite number 合成数
2282694918428068381348693425024345271947221342778726134596358771658935004775994118288821273088756202549399<106>
prime factors 素因数
37428052363683529029244596049442228725609<41>
60988877974397866287182423059627153170887298299087679623642765311<65>
factorization results 素因数分解の結果
Number: 54449_124
N=2282694918428068381348693425024345271947221342778726134596358771658935004775994118288821273088756202549399
  ( 106 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=37428052363683529029244596049442228725609 (pp41)
 r2=60988877974397866287182423059627153170887298299087679623642765311 (pp65)
Version: Msieve-1.39
Total time: 1.93 hours.
Scaled time: 3.35 units (timescale=1.739).
Factorization parameters were as follows:
n: 2282694918428068381348693425024345271947221342778726134596358771658935004775994118288821273088756202549399
m: 10000000000000000000000000
deg: 5
c5: 49
c0: 410
skew: 1.53
type: snfs
lss: 1
rlim: 900000
alim: 900000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [450000, 850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 130255 x 130496
Total sieving time: 1.93 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,126,5,0,0,0,0,0,0,0,0,900000,900000,26,26,46,46,2.3,2.3,50000
total time: 1.93 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)

49×10125+419

c107

name 名前Serge Batalov
date 日付March 26, 2009 04:55:22 UTC 2009 年 3 月 26 日 (木) 13 時 55 分 22 秒 (日本時間)
composite number 合成数
16970215478228041594814063236791347986814014122707645679199223191602665685124329148314728537601692084669963<107>
prime factors 素因数
74576531666662530089711767310951<32>
227554367291850453101197310205051455465156475107583107302535931180466407613<75>
factorization results 素因数分解の結果
SNFS difficulty: 126 digits.
Divisors found:
 r1=74576531666662530089711767310951 (pp32)
 r2=227554367291850453101197310205051455465156475107583107302535931180466407613 (pp75)
Version: Msieve-1.39
Total time: 1.26 hours.
Scaled time: 3.56 units (timescale=2.838).
Factorization parameters were as follows:
n: 16970215478228041594814063236791347986814014122707645679199223191602665685124329148314728537601692084669963
m: 10000000000000000000000000
deg: 5
c5: 49
c0: 41
skew: 0.96
type: snfs
lss: 1
rlim: 900000
alim: 900000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved  special-q in [450000, 450000)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 112947 x 113192
Total sieving time: 1.26 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,126,5,0,0,0,0,0,0,0,0,900000,900000,26,26,46,46,2.3,2.3,50000
total time: 1.26 hours.
software ソフトウェア
Msieve-1.40
execution environment 実行環境
Phenom II X4 940/openSUSE/x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)

49×10126+419

c127

name 名前Erik Branger
date 日付March 25, 2009 18:25:06 UTC 2009 年 3 月 26 日 (木) 3 時 25 分 6 秒 (日本時間)
composite number 合成数
5444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449<127>
prime factors 素因数
89509726479899433582217775103987526302712114761893<50>
60825171280878227682314694429796797662398614282260359785768606811199736018893<77>
factorization results 素因数分解の結果
Number: 54449_126
N=5444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449
  ( 127 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=89509726479899433582217775103987526302712114761893
 r2=60825171280878227682314694429796797662398614282260359785768606811199736018893
Version: 
Total time: 3.13 hours.
Scaled time: 2.97 units (timescale=0.948).
Factorization parameters were as follows:
n: 5444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449
m: 10000000000000000000000000
deg: 5
c5: 490
c0: 41
skew: 0.61
type: snfs
lss: 1
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [500000, 900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 149326 x 149573
Total sieving time: 3.13 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,127,5,0,0,0,0,0,0,0,0,1000000,1000000,26,26,46,46,2.3,2.3,50000
total time: 3.13 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)

49×10129+419

c128

name 名前Ignacio Santos
date 日付March 25, 2009 19:31:42 UTC 2009 年 3 月 26 日 (木) 4 時 31 分 42 秒 (日本時間)
composite number 合成数
52858683926645091693635382955771305285868392664509169363538295577130528586839266450916936353829557713052858683926645091693635383<128>
prime factors 素因数
1933030102714732371359649944976571<34>
67460989330069140041565000686446989847<38>
405345188912107832212622449426391920980159997852887421459<57>
factorization results 素因数分解の結果
Number: 54449_129
N=52858683926645091693635382955771305285868392664509169363538295577130528586839266450916936353829557713052858683926645091693635383
  ( 128 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=1933030102714732371359649944976571 (pp34)
 r2=67460989330069140041565000686446989847 (pp38)
 r3=405345188912107832212622449426391920980159997852887421459 (pp57)
Version: Msieve-1.39
Total time: 2.74 hours.
Scaled time: 4.75 units (timescale=1.735).
Factorization parameters were as follows:
n: 52858683926645091693635382955771305285868392664509169363538295577130528586839266450916936353829557713052858683926645091693635383
m: 100000000000000000000000000
deg: 5
c5: 49
c0: 410
skew: 1.53
type: snfs
lss: 1
rlim: 1100000
alim: 1100000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1100000/1100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [550000, 1100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 168168 x 168416
Total sieving time: 2.74 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,131,5,0,0,0,0,0,0,0,0,1100000,1100000,26,26,47,47,2.3,2.3,50000
total time: 2.74 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)

49×10130+419

c119

name 名前Ignacio Santos
date 日付March 26, 2009 07:29:05 UTC 2009 年 3 月 26 日 (木) 16 時 29 分 5 秒 (日本時間)
composite number 合成数
55503195729115988344309084736747369696542559541433720850677021062175206889975474460757689960075441138258614086125653057<119>
prime factors 素因数
91157362108708740542600653<26>
608872332910711521932266724140424623918336615769247686425689983577184398681484932263575936069<93>
factorization results 素因数分解の結果
Number: 54449_130
N=55503195729115988344309084736747369696542559541433720850677021062175206889975474460757689960075441138258614086125653057
  ( 119 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=91157362108708740542600653 (pp26)
 r2=608872332910711521932266724140424623918336615769247686425689983577184398681484932263575936069 (pp93)
Version: Msieve-1.39
Total time: 2.09 hours.
Scaled time: 3.63 units (timescale=1.735).
Factorization parameters were as follows:
n: 55503195729115988344309084736747369696542559541433720850677021062175206889975474460757689960075441138258614086125653057
m: 100000000000000000000000000
deg: 5
c5: 49
c0: 41
skew: 0.96
type: snfs
lss: 1
rlim: 1100000
alim: 1100000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1100000/1100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [550000, 950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 164089 x 164337
Total sieving time: 2.09 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,131,5,0,0,0,0,0,0,0,0,1100000,1100000,26,26,47,47,2.3,2.3,50000
total time: 2.09 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)

49×10131+419

c127

name 名前Ignacio Santos
date 日付March 25, 2009 22:07:54 UTC 2009 年 3 月 26 日 (木) 7 時 7 分 54 秒 (日本時間)
composite number 合成数
9463496974577957004822520805208399722661598867470484511731839259606897923631510741069066145981200473561113911533685220914714579<127>
prime factors 素因数
495966937574525418753568714951542682334528456989<48>
19080902894169119340618115193581337119237563669324766720592482700362221956219311<80>
factorization results 素因数分解の結果
Number: 54449_131
N=9463496974577957004822520805208399722661598867470484511731839259606897923631510741069066145981200473561113911533685220914714579
  ( 127 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=495966937574525418753568714951542682334528456989 (pp48)
 r2=19080902894169119340618115193581337119237563669324766720592482700362221956219311 (pp80)
Version: Msieve-1.39
Total time: 2.75 hours.
Scaled time: 4.78 units (timescale=1.735).
Factorization parameters were as follows:
n: 9463496974577957004822520805208399722661598867470484511731839259606897923631510741069066145981200473561113911533685220914714579
m: 100000000000000000000000000
deg: 5
c5: 490
c0: 41
skew: 0.61
type: snfs
lss: 1
rlim: 1140000
alim: 1140000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1140000/1140000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [570000, 1120001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 191855 x 192103
Total sieving time: 2.75 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,132,5,0,0,0,0,0,0,0,0,1140000,1140000,26,26,47,47,2.3,2.3,50000
total time: 2.75 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)

49×10133+419

c95

name 名前Robert Backstrom
date 日付March 26, 2009 06:42:12 UTC 2009 年 3 月 26 日 (木) 15 時 42 分 12 秒 (日本時間)
composite number 合成数
41891571807718584945127829778318507717751879939979549720467854224774931298243603645127428540871<95>
prime factors 素因数
31123736301946053601072239401392732729<38>
1345968600983785417249315598989980743105211831323133158399<58>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 41891571807718584945127829778318507717751879939979549720467854224774931298243603645127428540871 (95 digits)
Using B1=1538000, B2=2140123450, polynomial Dickson(6), sigma=100538867
Step 1 took 9438ms
Step 2 took 5125ms
********** Factor found in step 2: 31123736301946053601072239401392732729
Found probable prime factor of 38 digits: 31123736301946053601072239401392732729
Probable prime cofactor 1345968600983785417249315598989980743105211831323133158399 has 58 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)

49×10136+419

c133

name 名前Erik Branger
date 日付March 26, 2009 07:28:45 UTC 2009 年 3 月 26 日 (木) 16 時 28 分 45 秒 (日本時間)
composite number 合成数
5881435070157118336874197304142210699410656200112827529917299821156362152365177103213184016900123630165760445548713886188229928102457<133>
prime factors 素因数
71304781245914521607230391735935498351049913551<47>
82483039249126102767427949027373155037745463880624218563063734706630914560237529727607<86>
factorization results 素因数分解の結果
Number: 54449_136
N=5881435070157118336874197304142210699410656200112827529917299821156362152365177103213184016900123630165760445548713886188229928102457
  ( 133 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=71304781245914521607230391735935498351049913551
 r2=82483039249126102767427949027373155037745463880624218563063734706630914560237529727607
Version: 
Total time: 8.16 hours.
Scaled time: 6.41 units (timescale=0.786).
Factorization parameters were as follows:
n: 5881435070157118336874197304142210699410656200112827529917299821156362152365177103213184016900123630165760445548713886188229928102457
m: 1000000000000000000000000000
deg: 5
c5: 490
c0: 41
skew: 0.61
type: snfs
lss: 1
rlim: 1380000
alim: 1380000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1380000/1380000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [690000, 1515001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 242546 x 242794
Total sieving time: 8.16 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1380000,1380000,26,26,48,48,2.3,2.3,75000
total time: 8.16 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)

49×10137+419

c112

name 名前Ignacio Santos
date 日付March 26, 2009 15:55:57 UTC 2009 年 3 月 27 日 (金) 0 時 55 分 57 秒 (日本時間)
composite number 合成数
8105778732833997840998552688220217168092181072232097955983824590327356982459028278624705999411103235686078476339<112>
prime factors 素因数
2425727394160925168973174009150207745849594329787<49>
3341586837971065273981699845466591967077869497074885030760101097<64>
factorization results 素因数分解の結果
Number: 54449_137
N=8105778732833997840998552688220217168092181072232097955983824590327356982459028278624705999411103235686078476339
  ( 112 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=2425727394160925168973174009150207745849594329787 (pp49)
 r2=3341586837971065273981699845466591967077869497074885030760101097 (pp64)
Version: Msieve-1.39
Total time: 3.99 hours.
Scaled time: 6.93 units (timescale=1.739).
Factorization parameters were as follows:
n: 8105778732833997840998552688220217168092181072232097955983824590327356982459028278624705999411103235686078476339
m: 2000000000000000000000000000
deg: 5
c5: 1225
c0: 328
skew: 0.77
type: snfs
lss: 1
rlim: 1480000
alim: 1480000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1480000/1480000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [740000, 1490001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 226080 x 226328
Total sieving time: 3.99 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,139,5,0,0,0,0,0,0,0,0,1480000,1480000,26,26,48,48,2.3,2.3,75000
total time: 3.99 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)

49×10138+419

c114

name 名前Ignacio Santos
date 日付March 26, 2009 17:51:56 UTC 2009 年 3 月 27 日 (金) 2 時 51 分 56 秒 (日本時間)
composite number 合成数
349100348920204677754729896469469518001250723946393823346871892322067135526799095817938294302315163602800668899519<114>
prime factors 素因数
18533989362828478542555461551240462977930149887<47>
18835683030031066796183322332961649164918753989445572020809159395137<68>
factorization results 素因数分解の結果
Number: 54449_138
N=349100348920204677754729896469469518001250723946393823346871892322067135526799095817938294302315163602800668899519
  ( 114 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=18533989362828478542555461551240462977930149887 (pp47)
 r2=18835683030031066796183322332961649164918753989445572020809159395137 (pp68)
Version: Msieve-1.39
Total time: 5.77 hours.
Scaled time: 10.04 units (timescale=1.739).
Factorization parameters were as follows:
n: 349100348920204677754729896469469518001250723946393823346871892322067135526799095817938294302315163602800668899519
m: 5000000000000000000000000000
deg: 5
c5: 392
c0: 1025
skew: 1.21
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, 1885001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 267184 x 267432
Total sieving time: 5.77 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: 5.77 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)

49×10143+419

c113

name 名前Erik Branger
date 日付March 27, 2009 16:26:49 UTC 2009 年 3 月 28 日 (土) 1 時 26 分 49 秒 (日本時間)
composite number 合成数
38611998216553428634976880852884532742105214703709972979595744163625655295796044808871492594795432863440433187811<113>
prime factors 素因数
48208737729702173551817182097623439690535527340379<50>
800933607368938839181048674491588864161303805763605741405443609<63>
factorization results 素因数分解の結果
Number: 54449_143
N=38611998216553428634976880852884532742105214703709972979595744163625655295796044808871492594795432863440433187811
  ( 113 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=48208737729702173551817182097623439690535527340379
 r2=800933607368938839181048674491588864161303805763605741405443609
Version: 
Total time: 16.54 hours.
Scaled time: 12.92 units (timescale=0.781).
Factorization parameters were as follows:
n: 38611998216553428634976880852884532742105214703709972979595744163625655295796044808871492594795432863440433187811
m: 50000000000000000000000000000
deg: 5
c5: 392
c0: 1025
skew: 1.21
type: snfs
lss: 1
rlim: 1900000
alim: 1900000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1900000/1900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [950000, 2550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 321094 x 321333
Total sieving time: 16.54 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,146,5,0,0,0,0,0,0,0,0,1900000,1900000,26,26,49,49,2.3,2.3,100000
total time: 16.54 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)

49×10144+419

c132

name 名前Erik Branger
date 日付March 27, 2009 07:56:38 UTC 2009 年 3 月 27 日 (金) 16 時 56 分 38 秒 (日本時間)
composite number 合成数
321541706024672260551787816221255298649921458882378056825433992581094497126329589535485981556862183103890401989612491476535494248491<132>
prime factors 素因数
34618114200346796804140356391786401986013866968419090798524170021<65>
9288250196524313420503337155642549167984865224535302935187999437071<67>
factorization results 素因数分解の結果
Number: 54449_144
N=321541706024672260551787816221255298649921458882378056825433992581094497126329589535485981556862183103890401989612491476535494248491
  ( 132 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=34618114200346796804140356391786401986013866968419090798524170021
 r2=9288250196524313420503337155642549167984865224535302935187999437071
Version: 
Total time: 13.63 hours.
Scaled time: 13.89 units (timescale=1.019).
Factorization parameters were as follows:
n: 321541706024672260551787816221255298649921458882378056825433992581094497126329589535485981556862183103890401989612491476535494248491
m: 100000000000000000000000000000
deg: 5
c5: 49
c0: 410
skew: 1.53
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 369163 x 369411
Total sieving time: 13.63 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,146,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 13.63 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)

49×10146+419

c125

name 名前Ignacio Santos
date 日付March 27, 2009 15:48:12 UTC 2009 年 3 月 28 日 (土) 0 時 48 分 12 秒 (日本時間)
composite number 合成数
16167341545538294700472713844287897030163776178300163755670307640173965598426295954889076267540032446185900158239333122439271<125>
prime factors 素因数
635631229052462147884290094903460557<36>
25435096336658932336705167917031068008789759084152689170327716094934210451817361767116803<89>
factorization results 素因数分解の結果
Number: 54449_146
N=16167341545538294700472713844287897030163776178300163755670307640173965598426295954889076267540032446185900158239333122439271
  ( 125 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=635631229052462147884290094903460557 (pp36)
 r2=25435096336658932336705167917031068008789759084152689170327716094934210451817361767116803 (pp89)
Version: Msieve-1.39
Total time: 12.37 hours.
Scaled time: 31.80 units (timescale=2.571).
Factorization parameters were as follows:
n: 16167341545538294700472713844287897030163776178300163755670307640173965598426295954889076267540032446185900158239333122439271
m: 100000000000000000000000000000
deg: 5
c5: 490
c0: 41
skew: 0.61
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 360372 x 360618
Total sieving time: 12.37 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,147,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 12.37 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)

49×10149+419

c135

name 名前Erik Branger
date 日付March 28, 2009 12:07:58 UTC 2009 年 3 月 28 日 (土) 21 時 7 分 58 秒 (日本時間)
composite number 合成数
203522818590634280245075835535627462874181435936750438917137494088318261455309665736275011729733172064884678791543045626662602717314491<135>
prime factors 素因数
131534588641078345566638760776333<33>
25803421214234640523206313517076073590238151873<47>
59964724923190813318774664569029690764738692093753141799<56>
factorization results 素因数分解の結果
Number: 54449_149
N=203522818590634280245075835535627462874181435936750438917137494088318261455309665736275011729733172064884678791543045626662602717314491
  ( 135 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=131534588641078345566638760776333
 r2=25803421214234640523206313517076073590238151873
 r3=59964724923190813318774664569029690764738692093753141799
Version: 
Total time: 21.59 hours.
Scaled time: 21.70 units (timescale=1.005).
Factorization parameters were as follows:
n: 203522818590634280245075835535627462874181435936750438917137494088318261455309665736275011729733172064884678791543045626662602717314491
m: 1000000000000000000000000000000
deg: 5
c5: 49
c0: 410
skew: 1.53
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 2100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 444856 x 445104
Total sieving time: 21.59 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 21.59 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)

49×10152+419

c134

name 名前Ignacio Santos
date 日付March 31, 2009 12:57:52 UTC 2009 年 3 月 31 日 (火) 21 時 57 分 52 秒 (日本時間)
composite number 合成数
91273724425455878608183269099983069058428866640355708824581369879911159793711223544499072175584234280081660305868836764124980604793401<134>
prime factors 素因数
71383023650434742673540327947729791872255675161503<50>
1278647495690664764624201577118918428375254439965018372226597323792892389586504540967<85>
factorization results 素因数分解の結果
Number: 54449_152
N=91273724425455878608183269099983069058428866640355708824581369879911159793711223544499072175584234280081660305868836764124980604793401
  ( 134 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=71383023650434742673540327947729791872255675161503 (pp50)
 r2=1278647495690664764624201577118918428375254439965018372226597323792892389586504540967 (pp85)
Version: Msieve-1.39
Total time: 14.99 hours.
Scaled time: 26.07 units (timescale=1.739).
Factorization parameters were as follows:
n: 91273724425455878608183269099983069058428866640355708824581369879911159793711223544499072175584234280081660305868836764124980604793401
m: 2000000000000000000000000000000
deg: 5
c5: 1225
c0: 328
skew: 0.77
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 418620 x 418868
Total sieving time: 14.99 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,154,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 14.99 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)

49×10154+419

c90

name 名前Robert Backstrom
date 日付March 25, 2009 18:02:57 UTC 2009 年 3 月 26 日 (木) 3 時 2 分 57 秒 (日本時間)
composite number 合成数
172535978633108583271830002807599001693998076198225974666984044214182960439546361759597471<90>
prime factors 素因数
85398388677124700509979518851635059<35>
2020365738813114803260409765581225522390963662391877669<55>
factorization results 素因数分解の結果
Thu Mar 26 03:57:27 2009  
Thu Mar 26 03:57:27 2009  
Thu Mar 26 03:57:27 2009  Msieve v. 1.39
Thu Mar 26 03:57:27 2009  random seeds: 3388a570 6268f5cc
Thu Mar 26 03:57:27 2009  factoring 172535978633108583271830002807599001693998076198225974666984044214182960439546361759597471 (90 digits)
Thu Mar 26 03:57:28 2009  searching for 15-digit factors
Thu Mar 26 03:57:29 2009  commencing quadratic sieve (90-digit input)
Thu Mar 26 03:57:29 2009  using multiplier of 21
Thu Mar 26 03:57:29 2009  using 64kb Opteron sieve core
Thu Mar 26 03:57:29 2009  sieve interval: 18 blocks of size 65536
Thu Mar 26 03:57:29 2009  processing polynomials in batches of 6
Thu Mar 26 03:57:29 2009  using a sieve bound of 1573577 (59667 primes)
Thu Mar 26 03:57:29 2009  using large prime bound of 125886160 (26 bits)
Thu Mar 26 03:57:29 2009  using double large prime bound of 380154676666640 (42-49 bits)
Thu Mar 26 03:57:29 2009  using trial factoring cutoff of 49 bits
Thu Mar 26 03:57:29 2009  polynomial 'A' values have 12 factors
Thu Mar 26 04:57:17 2009  60155 relations (15845 full + 44310 combined from 635792 partial), need 59763
Thu Mar 26 04:57:18 2009  begin with 651637 relations
Thu Mar 26 04:57:19 2009  reduce to 146951 relations in 10 passes
Thu Mar 26 04:57:19 2009  attempting to read 146951 relations
Thu Mar 26 04:57:20 2009  recovered 146951 relations
Thu Mar 26 04:57:20 2009  recovered 127740 polynomials
Thu Mar 26 04:57:20 2009  attempting to build 60155 cycles
Thu Mar 26 04:57:20 2009  found 60155 cycles in 5 passes
Thu Mar 26 04:57:21 2009  distribution of cycle lengths:
Thu Mar 26 04:57:21 2009     length 1 : 15845
Thu Mar 26 04:57:21 2009     length 2 : 11577
Thu Mar 26 04:57:21 2009     length 3 : 10639
Thu Mar 26 04:57:21 2009     length 4 : 8071
Thu Mar 26 04:57:21 2009     length 5 : 5683
Thu Mar 26 04:57:21 2009     length 6 : 3657
Thu Mar 26 04:57:21 2009     length 7 : 2161
Thu Mar 26 04:57:21 2009     length 9+: 2522
Thu Mar 26 04:57:21 2009  largest cycle: 18 relations
Thu Mar 26 04:57:21 2009  matrix is 59667 x 60155 (15.0 MB) with weight 3692255 (61.38/col)
Thu Mar 26 04:57:21 2009  sparse part has weight 3692255 (61.38/col)
Thu Mar 26 04:57:22 2009  filtering completed in 3 passes
Thu Mar 26 04:57:22 2009  matrix is 55810 x 55874 (13.9 MB) with weight 3430899 (61.40/col)
Thu Mar 26 04:57:22 2009  sparse part has weight 3430899 (61.40/col)
Thu Mar 26 04:57:22 2009  saving the first 48 matrix rows for later
Thu Mar 26 04:57:22 2009  matrix is 55762 x 55874 (8.9 MB) with weight 2702698 (48.37/col)
Thu Mar 26 04:57:22 2009  sparse part has weight 1988182 (35.58/col)
Thu Mar 26 04:57:22 2009  matrix includes 64 packed rows
Thu Mar 26 04:57:22 2009  using block size 22349 for processor cache size 1024 kB
Thu Mar 26 04:57:22 2009  commencing Lanczos iteration
Thu Mar 26 04:57:22 2009  memory use: 8.5 MB
Thu Mar 26 04:57:40 2009  lanczos halted after 883 iterations (dim = 55760)
Thu Mar 26 04:57:40 2009  recovered 18 nontrivial dependencies
Thu Mar 26 04:57:40 2009  prp35 factor: 85398388677124700509979518851635059
Thu Mar 26 04:57:40 2009  prp55 factor: 2020365738813114803260409765581225522390963662391877669
Thu Mar 26 04:57:40 2009  elapsed time 01:00:13

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)

49×10158+419

c102

name 名前Andreas Tete
date 日付March 27, 2009 13:44:11 UTC 2009 年 3 月 27 日 (金) 22 時 44 分 11 秒 (日本時間)
composite number 合成数
453569855481298226564723037610642262164563210989868695838728271565250333688282786216554526112637497339<102>
prime factors 素因数
145182403511774248585192727630916578243588995294079<51>
3124137943097999819298035626042740374316930537111941<52>
factorization results 素因数分解の結果
03/26/09 16:03:31 v1.08 @ LAPPIE, 
03/26/09 16:03:31 v1.08 @ LAPPIE, ****************************
03/26/09 16:03:31 v1.08 @ LAPPIE, Starting factorization of 453569855481298226564723037610642262164563210989868695838728271565250333688282786216554526112637497339
03/26/09 16:03:31 v1.08 @ LAPPIE, ****************************
03/26/09 16:03:32 v1.08 @ LAPPIE, Rho method, input has 338 bits, 1000 max iterations per poly
03/26/09 16:03:32 v1.08 @ LAPPIE, poly x^2 + 1: 0.0780 sec
03/26/09 16:03:32 v1.08 @ LAPPIE, poly x^2 + 3: 0.1360 sec
03/26/09 16:03:32 v1.08 @ LAPPIE, poly x^2 + 2: 0.1960 sec
03/26/09 16:03:32 v1.08 @ LAPPIE, Williams P+1 method, input has 338 bits, B1 = 20000, B2 = 1000000
03/26/09 16:03:32 v1.08 @ LAPPIE, base 752376243: 0.1660 sec
03/26/09 16:03:32 v1.08 @ LAPPIE, base 352856595: 0.3250 sec
03/26/09 16:03:32 v1.08 @ LAPPIE, base 2326730079: 0.4830 sec
03/26/09 16:03:32 v1.08 @ LAPPIE, Pollard P-1 method, input has 338 bits, B1 = 100000, B2 = 5000000
03/26/09 16:03:33 v1.08 @ LAPPIE, base 2045834211: 0.4800 sec
03/26/09 16:03:33 v1.08 @ LAPPIE, 25 curves using Lenstra ECM method, input has 338 bits, B1 = 2000, B2 = 200000
03/26/09 16:03:35 v1.08 @ LAPPIE, 90 curves using Lenstra ECM method, input has 338 bits, B1 = 11000, B2 = 1100000
03/26/09 16:04:12 v1.08 @ LAPPIE, 200 curves using Lenstra ECM method, input has 338 bits, B1 = 50000, B2 = 5000000
03/26/09 16:08:48 v1.08 @ LAPPIE, 400 curves using Lenstra ECM method, input has 338 bits, B1 = 250000, B2 = 25000000
03/26/09 16:51:46 v1.08 @ LAPPIE, 1000 curves using Lenstra ECM method, input has 338 bits, B1 = 1000000, B2 = 100000000
03/26/09 23:42:56 v1.08 @ LAPPIE, starting SIQS on c102: 453569855481298226564723037610642262164563210989868695838728271565250333688282786216554526112637497339
03/26/09 23:42:56 v1.08 @ LAPPIE, random seeds: 2459799540, 1414896784
03/26/09 23:42:57 v1.08 @ LAPPIE, ==== sieve params ====
03/26/09 23:42:57 v1.08 @ LAPPIE, n = 102 digits, 342 bits
03/26/09 23:42:57 v1.08 @ LAPPIE, factor base: 121000 primes (max prime = 3375233)
03/26/09 23:42:57 v1.08 @ LAPPIE, single large prime cutoff: 506284950 (150 * pmax)
03/26/09 23:42:57 v1.08 @ LAPPIE, double large prime range from 45 to 53 bits
03/26/09 23:42:57 v1.08 @ LAPPIE, double large prime cutoff: 4654907246467955
03/26/09 23:42:57 v1.08 @ LAPPIE, using 6 large prime slices of factor base
03/26/09 23:42:57 v1.08 @ LAPPIE, buckets hold 2048 elements
03/26/09 23:42:57 v1.08 @ LAPPIE, sieve interval: 40 blocks of size 32768
03/26/09 23:42:57 v1.08 @ LAPPIE, polynomial A has ~ 13 factors
03/26/09 23:42:57 v1.08 @ LAPPIE, using multiplier of 19
03/26/09 23:42:57 v1.08 @ LAPPIE, using small prime variation correction of 21 bits
03/26/09 23:42:57 v1.08 @ LAPPIE, using x128 sieve scanning
03/26/09 23:42:57 v1.08 @ LAPPIE, trial factoring cutoff at 98 bits
03/26/09 23:42:57 v1.08 @ LAPPIE, ==== sieving started ====
03/27/09 13:27:40 v1.08 @ LAPPIE, sieve time = 14761.2410, relation time = 11943.4010, poly_time = 22714.0660
03/27/09 13:27:40 v1.08 @ LAPPIE, 121065 relations found: 27879 full + 93186 from 1844469 partial, using 2695059 polys (609 A polys)
03/27/09 13:27:40 v1.08 @ LAPPIE, trial division touched 561952386 sieve locations out of 7064935464960
03/27/09 13:27:40 v1.08 @ LAPPIE, ==== post processing stage (msieve-1.38) ====
03/27/09 13:27:47 v1.08 @ LAPPIE, begin with 1872348 relations
03/27/09 13:27:48 v1.08 @ LAPPIE, reduce to 326294 relations in 15 passes
03/27/09 13:27:51 v1.08 @ LAPPIE, failed to read relation 94436
03/27/09 13:27:51 v1.08 @ LAPPIE, failed to read relation 126269
03/27/09 13:27:54 v1.08 @ LAPPIE, failed to read relation 236788
03/27/09 13:27:56 v1.08 @ LAPPIE, failed to read relation 291206
03/27/09 13:27:57 v1.08 @ LAPPIE, recovered 326290 relations
03/27/09 13:27:57 v1.08 @ LAPPIE, recovered 307271 polynomials
03/27/09 13:27:57 v1.08 @ LAPPIE, attempting to build 121061 cycles
03/27/09 13:27:57 v1.08 @ LAPPIE, found 121061 cycles in 7 passes
03/27/09 13:27:57 v1.08 @ LAPPIE, distribution of cycle lengths:
03/27/09 13:27:57 v1.08 @ LAPPIE,    length 1 : 27879
03/27/09 13:27:57 v1.08 @ LAPPIE,    length 2 : 19652
03/27/09 13:27:57 v1.08 @ LAPPIE,    length 3 : 19792
03/27/09 13:27:57 v1.08 @ LAPPIE,    length 4 : 16536
03/27/09 13:27:57 v1.08 @ LAPPIE,    length 5 : 12912
03/27/09 13:27:57 v1.08 @ LAPPIE,    length 6 : 9112
03/27/09 13:27:57 v1.08 @ LAPPIE,    length 7 : 6125
03/27/09 13:27:57 v1.08 @ LAPPIE,    length 9+: 9053
03/27/09 13:27:57 v1.08 @ LAPPIE, largest cycle: 21 relations
03/27/09 13:27:57 v1.08 @ LAPPIE, matrix is 121000 x 121061 (36.0 MB) with weight 8959249 (74.01/col)
03/27/09 13:27:57 v1.08 @ LAPPIE, sparse part has weight 8959249 (74.01/col)
03/27/09 13:27:58 v1.08 @ LAPPIE, filtering completed in 3 passes
03/27/09 13:27:58 v1.08 @ LAPPIE, matrix is 116549 x 116613 (34.9 MB) with weight 8691415 (74.53/col)
03/27/09 13:27:58 v1.08 @ LAPPIE, sparse part has weight 8691415 (74.53/col)
03/27/09 13:27:59 v1.08 @ LAPPIE, saving the first 48 matrix rows for later
03/27/09 13:27:59 v1.08 @ LAPPIE, matrix is 116501 x 116613 (24.3 MB) with weight 7166912 (61.46/col)
03/27/09 13:27:59 v1.08 @ LAPPIE, sparse part has weight 5671030 (48.63/col)
03/27/09 13:27:59 v1.08 @ LAPPIE, matrix includes 64 packed rows
03/27/09 13:27:59 v1.08 @ LAPPIE, using block size 46645 for processor cache size 3072 kB
03/27/09 13:28:00 v1.08 @ LAPPIE, commencing Lanczos iteration
03/27/09 13:28:00 v1.08 @ LAPPIE, memory use: 21.8 MB
03/27/09 13:29:28 v1.08 @ LAPPIE, lanczos halted after 1844 iterations (dim = 116501)
03/27/09 13:29:28 v1.08 @ LAPPIE, recovered 18 nontrivial dependencies
03/27/09 13:29:29 v1.08 @ LAPPIE, prp52 = 3124137943097999819298035626042740374316930537111941
03/27/09 13:29:32 v1.08 @ LAPPIE, prp51 = 145182403511774248585192727630916578243588995294079
03/27/09 13:29:32 v1.08 @ LAPPIE, Lanczos elapsed time = 107.5710 seconds.
03/27/09 13:29:32 v1.08 @ LAPPIE, Sqrt elapsed time = 4.3410 seconds.
03/27/09 13:29:32 v1.08 @ LAPPIE, SIQS elapsed time = 49596.1740 seconds.
03/27/09 13:29:32 v1.08 @ LAPPIE, 
03/27/09 13:29:32 v1.08 @ LAPPIE, 
03/27/09 13:29:32 v1.08 @ LAPPIE, Total factoring time = 77160.9650 seconds
software ソフトウェア
Yafu v1.08
execution environment 実行環境
Core 2 Duo T 8100
Windows Vista Home Premium 32 bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)

49×10162+419

c154

name 名前Ignacio Santos
date 日付March 26, 2009 12:05:04 UTC 2009 年 3 月 26 日 (木) 21 時 5 分 4 秒 (日本時間)
composite number 合成数
5124384041547716026250886268364017564036297571233982296968027259034995576625943476373054214083058888082895438847079442124075766865538541823513669613868197<154>
prime factors 素因数
34363196394391077614856507380930780469359185367467522330450410543511411<71>
149124196210808318999806998432402432647174526275866338390959675701508450716087029127<84>
factorization results 素因数分解の結果
Number: 54449_162
N=5124384041547716026250886268364017564036297571233982296968027259034995576625943476373054214083058888082895438847079442124075766865538541823513669613868197
  ( 154 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=34363196394391077614856507380930780469359185367467522330450410543511411 (pp71)
 r2=149124196210808318999806998432402432647174526275866338390959675701508450716087029127 (pp84)
Version: Msieve-1.39
Total time: 40.66 hours.
Scaled time: 104.54 units (timescale=2.571).
Factorization parameters were as follows:
n: 5124384041547716026250886268364017564036297571233982296968027259034995576625943476373054214083058888082895438847079442124075766865538541823513669613868197
m: 200000000000000000000000000000000
deg: 5
c5: 1225
c0: 328
skew: 0.77
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 3850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 679933 x 680181
Total sieving time: 40.66 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,164,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 40.66 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)

49×10164+419

c145

name 名前Robert Backstrom
date 日付March 28, 2009 13:29:53 UTC 2009 年 3 月 28 日 (土) 22 時 29 分 53 秒 (日本時間)
composite number 合成数
1402349324633698256140012135543458744822102593646541812746298229673535472139910433762013003100546995491089384322899717818288966583222385504693409<145>
prime factors 素因数
610669137960733395685042251722807251<36>
7186553173058630799368238546006774398260215801703<49>
319543210483475316340708907207542706196386873040108707971853<60>
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 1402349324633698256140012135543458744822102593646541812746298229673535472139910433762013003100546995491089384322899717818288966583222385504693409 (145 digits)
Using B1=2770000, B2=4281513610, polynomial Dickson(6), sigma=648140982
Step 1 took 38376ms
********** Factor found in step 1: 610669137960733395685042251722807251
Found probable prime factor of 36 digits: 610669137960733395685042251722807251
Composite cofactor 2296414273229361472578839807470333744690001646782988120596944464494727792347492919926882269338661235553465659 has 109 digits


GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 2296414273229361472578839807470333744690001646782988120596944464494727792347492919926882269338661235553465659 (109 digits)
Using B1=3316000, B2=5707206970, polynomial Dickson(6), sigma=27217913
Step 1 took 32510ms
Step 2 took 10920ms
********** Factor found in step 2: 7186553173058630799368238546006774398260215801703
Found probable prime factor of 49 digits: 7186553173058630799368238546006774398260215801703
Probable prime cofactor 319543210483475316340708907207542706196386873040108707971853 has 60 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)

49×10166+419

c161

name 名前Ignacio Santos
date 日付March 26, 2009 22:16:59 UTC 2009 年 3 月 27 日 (金) 7 時 16 分 59 秒 (日本時間)
composite number 合成数
25301261866872711881673950073794486524573747317743521934619164115499124447251335454818323256460354497529073602558380983612889041109541916523082005572164026738167<161>
prime factors 素因数
403475196715413542945185597203831441517<39>
62708345080053725423367577282775798846310717380281419671758144564588907556000849612451063415371641841328324130172173742451<122>
factorization results 素因数分解の結果
Number: 54449_166
N=25301261866872711881673950073794486524573747317743521934619164115499124447251335454818323256460354497529073602558380983612889041109541916523082005572164026738167
  ( 161 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=403475196715413542945185597203831441517 (pp39)
 r2=62708345080053725423367577282775798846310717380281419671758144564588907556000849612451063415371641841328324130172173742451 (pp122)
Version: Msieve-1.39
Total time: 51.88 hours.
Scaled time: 90.22 units (timescale=1.739).
Factorization parameters were as follows:
n: 25301261866872711881673950073794486524573747317743521934619164115499124447251335454818323256460354497529073602558380983612889041109541916523082005572164026738167
m: 1000000000000000000000000000000000
deg: 5
c5: 490
c0: 41
skew: 0.61
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2200000, 5200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 874003 x 874251
Total sieving time: 51.88 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,167,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 51.88 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)

49×10169+419

c103

name 名前Robert Backstrom
date 日付March 27, 2009 19:37:01 UTC 2009 年 3 月 28 日 (土) 4 時 37 分 1 秒 (日本時間)
composite number 合成数
2748132996110164316692394787675034756341704156057136951873517972369944327740468903886111422774446271987<103>
prime factors 素因数
161726317463004925294893739483643455711403<42>
16992491013336792208581860510277455208049350422509007698567129<62>
factorization results 素因数分解の結果
Number: n
N=2748132996110164316692394787675034756341704156057136951873517972369944327740468903886111422774446271987
  ( 103 digits)
Divisors found:

Sat Mar 28 06:32:51 2009  prp42 factor: 161726317463004925294893739483643455711403
Sat Mar 28 06:32:51 2009  prp62 factor: 16992491013336792208581860510277455208049350422509007698567129
Sat Mar 28 06:32:51 2009  elapsed time 00:21:51 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 5.76 hours.
Scaled time: 15.26 units (timescale=2.649).
Factorization parameters were as follows:
name: KA_5_4_168_9
n: 2748132996110164316692394787675034756341704156057136951873517972369944327740468903886111422774446271987
skew: 6018.30
# norm 9.19e+13
c5: 33540
c4: 684589501
c3: 5791283135574
c2: -28206819817534566
c1: -38476561442250937966
c0: -33218737564069799087307
# alpha -5.31
Y1: 74270204899
Y0: -38255289751789543670
# Murphy_E 2.39e-09
# M 2118835397043999855895382204736405261545507460993547449580085793519358158855105205632886183942560675358
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 1751117)
Primes: RFBsize:169511, AFBsize:169243, largePrimes:13837185 encountered
Relations: rels:11629589, finalFF:365377
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 666886 hash collisions in 12075964 relations
Msieve: matrix is 347056 x 347304 (95.4 MB)

Total sieving time: 5.33 hours.
Total relation processing time: 0.43 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,28,28,56,56,2.6,2.6,100000
total time: 5.76 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)

49×10177+419

c109

name 名前Robert Backstrom
date 日付March 26, 2009 05:50:29 UTC 2009 年 3 月 26 日 (木) 14 時 50 分 29 秒 (日本時間)
composite number 合成数
1748060496204602348217928342045955454659092137537713587969915638714670667753586844090191544518365344287126709<109>
prime factors 素因数
83034203406922062183051715629104539<35>
21052294409786281603774327103314927783566223455754104095544829887091074031<74>
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 1748060496204602348217928342045955454659092137537713587969915638714670667753586844090191544518365344287126709 (109 digits)
Using B1=720000, B2=696728352, polynomial Dickson(3), sigma=2714175444
Step 1 took 7176ms
Step 2 took 2964ms
********** Factor found in step 2: 83034203406922062183051715629104539
Found probable prime factor of 35 digits: 83034203406922062183051715629104539
Probable prime cofactor 21052294409786281603774327103314927783566223455754104095544829887091074031 has 74 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)

49×10179+419

c169

name 名前Dmitry Domanov
date 日付May 31, 2011 20:50:24 UTC 2011 年 6 月 1 日 (水) 5 時 50 分 24 秒 (日本時間)
composite number 合成数
2479118960506156795587458640330057593026679641604593405908020736761049848884520133081502328853632938821119986507118084203662152162975452379567205721943698423530996791693<169>
prime factors 素因数
200606999584637237434103640553<30>
composite cofactor 合成数の残り
12358088031022079888465150529485680285613357149315314014400564062635412033147417633513930322961925212564678657075747818539377406309613797381<140>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=995609824
Step 1 took 28030ms
Step 2 took 15637ms
********** Factor found in step 2: 200606999584637237434103640553
Found probable prime factor of 30 digits: 200606999584637237434103640553
Composite cofactor 1235808803102207988846515052948568028561335714931531401440056406263541203314741763351393032296192521256467865707574781853937740630961379738
1 has 140 digits

c140

name 名前Serge Batalov
date 日付November 8, 2013 01:28:24 UTC 2013 年 11 月 8 日 (金) 10 時 28 分 24 秒 (日本時間)
composite number 合成数
12358088031022079888465150529485680285613357149315314014400564062635412033147417633513930322961925212564678657075747818539377406309613797381<140>
prime factors 素因数
49624729147350957262129851750137368316143<41>
149023728997203839556786629472516207961088669<45>
1671081797620492554847560020495994322482134698993499143<55>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=499448745
Step 1 took 33550ms
Step 2 took 13262ms
********** Factor found in step 2: 49624729147350957262129851750137368316143
Found probable prime factor of 41 digits: 49624729147350957262129851750137368316143
Composite cofactor 

prp45 factor: 149023728997203839556786629472516207961088669
prp55 factor: 1671081797620492554847560020495994322482134698993499143
software ソフトウェア
GMP-ECM 6.5; Msieve v. 1.51 (SVN 719M)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovMay 31, 2011 20:50:15 UTC 2011 年 6 月 1 日 (水) 5 時 50 分 15 秒 (日本時間)
4511e6600 / 4409Rich DickersonJune 12, 2012 21:59:24 UTC 2012 年 6 月 13 日 (水) 6 時 59 分 24 秒 (日本時間)

49×10180+419

c173

name 名前Wataru Sakai
date 日付August 3, 2010 13:33:48 UTC 2010 年 8 月 3 日 (火) 22 時 33 分 48 秒 (日本時間)
composite number 合成数
41800393483141558800943224002194728806763092786852528038618417864678100130384043273391577609200885592690709490354255937645018840883295238715346323225318292913662296441499489<173>
prime factors 素因数
15798440724554320899278563294112256141376786914617<50>
92857853086489174134951123170391304690597828478036311759<56>
28493612024729379299785755786952655044385370402506590968435734945863<68>
factorization results 素因数分解の結果
Number: 54449_180
N=41800393483141558800943224002194728806763092786852528038618417864678100130384043273391577609200885592690709490354255937645018840883295238715346323225318292913662296441499489
  ( 173 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=15798440724554320899278563294112256141376786914617
 r2=92857853086489174134951123170391304690597828478036311759
 r3=28493612024729379299785755786952655044385370402506590968435734945863
Version: 
Total time: 238.80 hours.
Scaled time: 479.03 units (timescale=2.006).
Factorization parameters were as follows:
n: 41800393483141558800943224002194728806763092786852528038618417864678100130384043273391577609200885592690709490354255937645018840883295238715346323225318292913662296441499489
m: 1000000000000000000000000000000000000
deg: 5
c5: 49
c0: 41
skew: 0.96
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3750000, 6250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1015918 x 1016166
Total sieving time: 238.80 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,181,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time: 238.80 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 19, 2010 12:35:24 UTC 2010 年 6 月 19 日 (土) 21 時 35 分 24 秒 (日本時間)
403e62126110Ignacio SantosJune 19, 2010 12:35:24 UTC 2010 年 6 月 19 日 (土) 21 時 35 分 24 秒 (日本時間)
2016Wataru SakaiJune 29, 2010 05:44:18 UTC 2010 年 6 月 29 日 (火) 14 時 44 分 18 秒 (日本時間)
4511e632 / 3991Ignacio SantosJune 19, 2010 12:35:24 UTC 2010 年 6 月 19 日 (土) 21 時 35 分 24 秒 (日本時間)

49×10181+419

c176

name 名前Wataru Sakai
date 日付September 12, 2010 07:31:08 UTC 2010 年 9 月 12 日 (日) 16 時 31 分 8 秒 (日本時間)
composite number 合成数
11374110727339330182333262326384935514943480767109952901664475757603401518341647227963246580669568829049924477065394010453643407376240796516439501302347284515789366418160917251<176>
prime factors 素因数
211974948010682043440631615297443182867091771609519995107551<60>
53657806425154330799367676055363804091491994252910482472595014538988506923902195300427038592788553003307029544324701<116>
factorization results 素因数分解の結果
Number: 54449_181
N=11374110727339330182333262326384935514943480767109952901664475757603401518341647227963246580669568829049924477065394010453643407376240796516439501302347284515789366418160917251
  ( 176 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=211974948010682043440631615297443182867091771609519995107551
 r2=53657806425154330799367676055363804091491994252910482472595014538988506923902195300427038592788553003307029544324701
Version: 
Total time: 292.21 hours.
Scaled time: 585.59 units (timescale=2.004).
Factorization parameters were as follows:
n: 11374110727339330182333262326384935514943480767109952901664475757603401518341647227963246580669568829049924477065394010453643407376240796516439501302347284515789366418160917251
m: 1000000000000000000000000000000000000
deg: 5
c5: 490
c0: 41
skew: 0.61
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3900000, 7200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1465946 x 1466194
Total sieving time: 292.21 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,182,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time: 292.21 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 19, 2010 12:37:52 UTC 2010 年 6 月 19 日 (土) 21 時 37 分 52 秒 (日本時間)
403e62126110Ignacio SantosJune 19, 2010 12:37:52 UTC 2010 年 6 月 19 日 (土) 21 時 37 分 52 秒 (日本時間)
2016Wataru SakaiJuly 1, 2010 05:02:40 UTC 2010 年 7 月 1 日 (木) 14 時 2 分 40 秒 (日本時間)
4511e632 / 3991Ignacio SantosJune 19, 2010 12:37:52 UTC 2010 年 6 月 19 日 (土) 21 時 37 分 52 秒 (日本時間)

49×10182+419

c161

name 名前matsui
date 日付August 14, 2011 13:55:00 UTC 2011 年 8 月 14 日 (日) 22 時 55 分 0 秒 (日本時間)
composite number 合成数
68500557154548446805039149782037100797737618772911523173014140284011320747799120373108241632937175039015943892020950975239602960139616278552561899925638108801213<161>
prime factors 素因数
31901925533968566815102765648076754882877168895808392607545438421<65>
2147223279096753874059953283057463404475666594501120459751185621837125671012050543449126966266953<97>
factorization results 素因数分解の結果
N=68500557154548446805039149782037100797737618772911523173014140284011320747799120373108241632937175039015943892020950975239602960139616278552561899925638108801213
  ( 161 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=31901925533968566815102765648076754882877168895808392607545438421 (pp65)
 r2=2147223279096753874059953283057463404475666594501120459751185621837125671012050543449126966266953 (pp97)
Version: Msieve v. 1.50
Total time:
Scaled time: 41.91 units (timescale=1.456).
Factorization parameters were as follows:
n: 68500557154548446805039149782037100797737618772911523173014140284011320747799120373108241632937175039015943892020950975239602960139616278552561899925638108801213
m: 1000000000000000000000000000000000000
deg: 5
c5: 4900
c0: 41
skew: 0.38
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 320000
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, 11410001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1709174 x 1709422
Total sieving time: 
Total relation processing time:
Matrix solve time:
Time per square root: 
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: 
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 1, 2011 05:49:47 UTC 2011 年 6 月 1 日 (水) 14 時 49 分 47 秒 (日本時間)
403e6410 / 2126110Ignacio SantosJune 1, 2011 05:49:47 UTC 2011 年 6 月 1 日 (水) 14 時 49 分 47 秒 (日本時間)
300Dmitry DomanovJune 1, 2011 08:19:14 UTC 2011 年 6 月 1 日 (水) 17 時 19 分 14 秒 (日本時間)
4511e632 / 4371Ignacio SantosJune 1, 2011 05:49:47 UTC 2011 年 6 月 1 日 (水) 14 時 49 分 47 秒 (日本時間)

49×10183+419

c158

name 名前Jo Yeong Uk
date 日付July 14, 2014 12:42:07 UTC 2014 年 7 月 14 日 (月) 21 時 42 分 7 秒 (日本時間)
composite number 合成数
50468636296313949903838288371782283702507689499399729266102861506479835032345842143198179969074489107535905447570110591573490817146134696818536182201264482063<158>
prime factors 素因数
3375345877640462342921220391798826863968949577091487448821223261323429<70>
14952137684803455409126474944225672958787726885383222212797158882848464817810492380522147<89>
factorization results 素因数分解の結果
Number: 54449_183
N=50468636296313949903838288371782283702507689499399729266102861506479835032345842143198179969074489107535905447570110591573490817146134696818536182201264482063
  ( 158 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=3375345877640462342921220391798826863968949577091487448821223261323429
 r2=14952137684803455409126474944225672958787726885383222212797158882848464817810492380522147
Version: 
Total time: 96.19 hours.
Scaled time: 505.88 units (timescale=5.259).
Factorization parameters were as follows:
n: 50468636296313949903838288371782283702507689499399729266102861506479835032345842143198179969074489107535905447570110591573490817146134696818536182201264482063
m: 2000000000000000000000000000000000000
deg: 5
c5: 6125
c0: 164
skew: 0.48
# Murphy_E = 4.559e-11
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4000000, 8400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20980684
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1740760 x 1741008
Total sieving time: 89.61 hours.
Total relation processing time: 2.44 hours.
Matrix solve time: 3.98 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,54,54,2.5,2.5,100000
total time: 96.19 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
351e6418118Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 1, 2011 07:06:44 UTC 2011 年 6 月 1 日 (水) 16 時 6 分 44 秒 (日本時間)
403e61910110Ignacio SantosJune 1, 2011 07:06:44 UTC 2011 年 6 月 1 日 (水) 16 時 6 分 44 秒 (日本時間)
300Dmitry DomanovJune 1, 2011 08:19:23 UTC 2011 年 6 月 1 日 (水) 17 時 19 分 23 秒 (日本時間)
1500Dmitry DomanovOctober 31, 2013 08:59:47 UTC 2013 年 10 月 31 日 (木) 17 時 59 分 47 秒 (日本時間)
4511e6432 / 403932Ignacio SantosJune 1, 2011 07:06:44 UTC 2011 年 6 月 1 日 (水) 16 時 6 分 44 秒 (日本時間)
100Rich DickersonNovember 11, 2013 04:37:15 UTC 2013 年 11 月 11 日 (月) 13 時 37 分 15 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:22 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 22 秒 (日本時間)

49×10185+419

c133

name 名前Robert Backstrom
date 日付April 22, 2012 06:33:34 UTC 2012 年 4 月 22 日 (日) 15 時 33 分 34 秒 (日本時間)
composite number 合成数
1500190877455026087179122298634095305706810346679198611288805619698007217499829421296934442685434994062535633661347457583285920160187<133>
prime factors 素因数
3269848748114928250981540408411501563849041559623<49>
458795189936503313284439523442937252548058787369357294641761604840360871178735839469<84>
factorization results 素因数分解の結果
Number: n
N=1500190877455026087179122298634095305706810346679198611288805619698007217499829421296934442685434994062535633661347457583285920160187
  ( 133 digits)
Divisors found:

Sun Apr 22 16:25:17 2012  prp49 factor: 3269848748114928250981540408411501563849041559623
Sun Apr 22 16:25:17 2012  prp84 factor: 458795189936503313284439523442937252548058787369357294641761604840360871178735839469
Sun Apr 22 16:25:17 2012  elapsed time 02:50:14 (Msieve 1.44 - dependency 4)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.293).
Factorization parameters were as follows:
name: KA_54449_185
n: 1500190877455026087179122298634095305706810346679198611288805619698007217499829421296934442685434994062535633661347457583285920160187
skew: 176470.01
# norm 7.05e+17
c5: 52080
c4: -88233979159
c3: -5543729994292450
c2: 3364622104070272756757
c1: -13544728369143722247297317
c0: -1591201734294678688280965002760
# alpha -5.15
Y1: 679045944824137
Y0: -31038328727262136209018117
# Murphy_E 5.13e-11
# M 864785877646605147874648634523710260891691117755070381467181002737963944179268406180721750716259825672429959315002289476095187105535
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 25440000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 3165043 hash collisions in 13629180 relations
Msieve: matrix is 1216688 x 1216915 (350.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,132,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)
403e61070300Dmitry DomanovJune 1, 2011 08:19:31 UTC 2011 年 6 月 1 日 (水) 17 時 19 分 31 秒 (日本時間)
770Ignacio SantosJuly 10, 2011 08:51:21 UTC 2011 年 7 月 10 日 (日) 17 時 51 分 21 秒 (日本時間)
4511e6220 / 4025Ignacio SantosJuly 10, 2011 08:51:21 UTC 2011 年 7 月 10 日 (日) 17 時 51 分 21 秒 (日本時間)
5043e661 / 7463Ignacio SantosJuly 10, 2011 08:51:21 UTC 2011 年 7 月 10 日 (日) 17 時 51 分 21 秒 (日本時間)

49×10189+419

c160

composite cofactor 合成数の残り
4057280115164125595609390566486087659699467784072349593802607297046320451903211389439689494304657800480931426984994388657305876152850549482770508983263366496491<160>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)
403e63400300Dmitry DomanovJune 1, 2011 08:19:41 UTC 2011 年 6 月 1 日 (水) 17 時 19 分 41 秒 (日本時間)
1500Dmitry DomanovOctober 31, 2013 10:05:54 UTC 2013 年 10 月 31 日 (木) 19 時 5 分 54 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:10 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 10 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:16 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 16 秒 (日本時間)

49×10190+419

c139

name 名前Dmitry Domanov
date 日付October 24, 2013 06:32:38 UTC 2013 年 10 月 24 日 (木) 15 時 32 分 38 秒 (日本時間)
composite number 合成数
2078347076701305865546970289200656161819578014959101539495279805829781818639001679594012558539786164234469387340482104557644132281404974829<139>
prime factors 素因数
432033798604816067788015429146876475837<39>
4810612233147024046118872184879497152874112271368784076219560233180593715443679781891440809922968817<100>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3830713509
Step 1 took 16483ms
Step 2 took 6994ms
********** Factor found in step 2: 432033798604816067788015429146876475837
Found probable prime factor of 39 digits: 432033798604816067788015429146876475837

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovJune 1, 2011 08:19:48 UTC 2011 年 6 月 1 日 (水) 17 時 19 分 48 秒 (日本時間)

49×10191+419

c164

composite cofactor 合成数の残り
37571908596340439307270145619521046201823035692641715942368296227738237904858361180635431163899075324696339888461452329305247621782091168494794652077669017569041227<164>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)
403e63400300Dmitry DomanovJune 1, 2011 08:19:58 UTC 2011 年 6 月 1 日 (水) 17 時 19 分 58 秒 (日本時間)
1500Dmitry DomanovOctober 31, 2013 10:06:05 UTC 2013 年 10 月 31 日 (木) 19 時 6 分 5 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:11 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 11 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:17 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 17 秒 (日本時間)

49×10192+419

c166

composite cofactor 合成数の残り
2798447708277639742859543771261391954926953812713043536199223581287819877122617796377093694514563852668225793478652754079318749146649839563421599845349762389817632561<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)
403e63400300Dmitry DomanovJune 1, 2011 08:20:06 UTC 2011 年 6 月 1 日 (水) 17 時 20 分 6 秒 (日本時間)
1500Dmitry DomanovOctober 31, 2013 10:06:15 UTC 2013 年 10 月 31 日 (木) 19 時 6 分 15 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:12 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 12 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:17 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 17 秒 (日本時間)

49×10193+419

c150

name 名前Ignacio Santos
date 日付June 1, 2011 13:48:45 UTC 2011 年 6 月 1 日 (水) 22 時 48 分 45 秒 (日本時間)
composite number 合成数
193712927310745091926231047994485284327199077687274845314127388315613970921362221339535449115049280435643414003144853367520877702151606247973321152939<150>
prime factors 素因数
1554829479621088403046725110964300983<37>
124587892016269777089097896532602935806412701670737998853592882025906105366125745929395711204089566137050659663533<114>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2589631198
Step 1 took 79295ms
Step 2 took 40217ms
********** Factor found in step 2: 1554829479621088403046725110964300983
Found probable prime factor of 37 digits: 1554829479621088403046725110964300983
Probable prime cofactor 124587892016269777089097896532602935806412701670737998853592882025906105366125745929395711204089566137050659663533 has 114 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovJune 1, 2011 08:20:17 UTC 2011 年 6 月 1 日 (水) 17 時 20 分 17 秒 (日本時間)

49×10195+419

c175

composite cofactor 合成数の残り
4089796171310679723618511639584304270880411575728687917178804163048305256624978548664442774268409135487948643441058845810483655061517821038627869503303331845007201547580929133<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)
403e63400300Dmitry DomanovJune 1, 2011 08:20:23 UTC 2011 年 6 月 1 日 (水) 17 時 20 分 23 秒 (日本時間)
1500Dmitry DomanovOctober 31, 2013 10:06:24 UTC 2013 年 10 月 31 日 (木) 19 時 6 分 24 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:12 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 12 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:17 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 17 秒 (日本時間)

49×10197+419

c131

name 名前Wataru Sakai
date 日付April 17, 2009 13:57:59 UTC 2009 年 4 月 17 日 (金) 22 時 57 分 59 秒 (日本時間)
composite number 合成数
52283978536205178399643657736111893360813051166369943605879019610862907994317796726602767138790593623027033541948710202676205861849<131>
prime factors 素因数
7753115765111063522021142552571754477947<40>
6743608649761494883582317379979859049540910030066178214889108592918675243582982981900750267<91>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2900669674
Step 1 took 41286ms
Step 2 took 15713ms
********** Factor found in step 2: 7753115765111063522021142552571754477947
Found probable prime factor of 40 digits: 7753115765111063522021142552571754477947
Probable prime cofactor 6743608649761494883582317379979859049540910030066178214889108592918675243582982981900750267 has 91 digits
software ソフトウェア
GMP-ECM 6.2.1 [powered by GMP 4.2.4] 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)

49×10201+419

c196

name 名前RSALS + Lionel Debroux + Jeff Gilchrist
date 日付November 6, 2009 07:05:25 UTC 2009 年 11 月 6 日 (金) 16 時 5 分 25 秒 (日本時間)
composite number 合成数
3293294268142304455107996864515016380106378781667964829499098679126879135226628045062212681078256804231600852197020455860480999741980475604116187690620408920956165648400241983197612643937962670039<196>
prime factors 素因数
37275012028726822642622072954781884705885423<44>
88351259701921852832633429667747775669808345171415609203853358189987067824413888270327700386840290722262317778160874561417235000119736451519483267715993<152>
factorization results 素因数分解の結果
Msieve v. 1.44
Thu Nov  5 21:18:46 2009
random seeds: 0f697e6c 28abe295
factoring 3293294268142304455107996864515016380106378781667964829499098679126879135226628045062212681078256804231600852197020455860480999741980475604116187690620408920956165648400241983197612643937962670039 (196 digits)
searching for 15-digit factors
commencing number field sieve (196-digit input)
R0: -10000000000000000000000000000000000000000
R1:  1
A0:  41
A1:  0
A2:  0
A3:  0
A4:  0
A5:  490
skew 0.61, size 2.833956e-14, alpha 1.214899, combined = 9.459428e-12

commencing relation filtering
estimated available RAM is 1148.0 MB
commencing duplicate removal, pass 1
error -9 reading relation 8945276
error -9 reading relation 11307712
error -9 reading relation 11518069
error -15 reading relation 11544804
error -9 reading relation 12509643
error -15 reading relation 12756522
error -15 reading relation 12795024
error -1 reading relation 23489632
error -9 reading relation 23643833
error -15 reading relation 24407655
error -15 reading relation 25776837
error -1 reading relation 26227026
error -15 reading relation 26416665
error -9 reading relation 31485538
found 8862011 hash collisions in 44999986 relations
added 730520 free relations
commencing duplicate removal, pass 2
found 9014662 duplicates and 36715844 unique relations
memory use: 213.2 MB
reading ideals above 19202048
commencing singleton removal, initial pass
memory use: 753.0 MB
removing singletons from LP file
start with 36715844 relations and 36580329 ideals
pass 1: found 14595173 singletons
pruned dataset has 22120671 relations and 19124588 large ideals
reading all ideals from disk
memory use: 382.0 MB
commencing in-memory singleton removal
begin with 22120671 relations and 19124588 unique ideals
reduce to 15684674 relations and 12316705 ideals in 18 passes
max relations containing the same ideal: 30
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 376.5 MB
reading all ideals from disk
memory use: 531.7 MB
keeping 14648359 ideals with weight <= 200, target excess is 116482
commencing in-memory singleton removal
begin with 15684983 relations and 14648359 unique ideals
reduce to 15682203 relations and 14644226 ideals in 9 passes
max relations containing the same ideal: 200
removing 2846610 relations and 2446610 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 12835593 relations and 14644226 unique ideals
reduce to 12465195 relations and 11815179 ideals in 11 passes
max relations containing the same ideal: 175
removing 2135745 relations and 1735745 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 10329450 relations and 11815179 unique ideals
reduce to 10053854 relations and 9795074 ideals in 9 passes
max relations containing the same ideal: 147
removing 792609 relations and 668949 ideals in 123660 cliques
commencing in-memory singleton removal
begin with 9261245 relations and 9795074 unique ideals
reduce to 9216708 relations and 9081049 ideals in 7 passes
max relations containing the same ideal: 139
relations with 0 large ideals: 2906
relations with 1 large ideals: 272
relations with 2 large ideals: 7222
relations with 3 large ideals: 70678
relations with 4 large ideals: 374670
relations with 5 large ideals: 1150194
relations with 6 large ideals: 2257720
relations with 7+ large ideals: 5353046
commencing 2-way merge
reduce to 5570453 relation sets and 5434794 unique ideals
commencing full merge
memory use: 661.0 MB
found 2928967 cycles, need 2910994
weight of 2910994 cycles is about 203790381 (70.01/cycle)
distribution of cycle lengths:
1 relations: 364884
2 relations: 359563
3 relations: 360513
4 relations: 323963
5 relations: 286525
6 relations: 247293
7 relations: 211854
8 relations: 175678
9 relations: 142574
10+ relations: 438147
heaviest cycle: 23 relations
commencing cycle optimization
start with 15939067 relations
pruned 326649 relations
memory use: 540.6 MB
distribution of cycle lengths:
1 relations: 364884
2 relations: 366593
3 relations: 371489
4 relations: 329960
5 relations: 291790
6 relations: 249668
7 relations: 212738
8 relations: 175029
9 relations: 140569
10+ relations: 408274
heaviest cycle: 23 relations
RelProcTime: 1858
elapsed time 00:31:01


Msieve v. 1.44
Thu Nov  5 21:54:39 2009
random seeds: 239a98bf cd32137d
factoring 3293294268142304455107996864515016380106378781667964829499098679126879135226628045062212681078256804231600852197020455860480999741980475604116187690620408920956165648400241983197612643937962670039 (196 digits)
searching for 15-digit factors
commencing number field sieve (196-digit input)
R0: -10000000000000000000000000000000000000000
R1:  1
A0:  41
A1:  0
A2:  0
A3:  0
A4:  0
A5:  490
skew 0.61, size 2.833956e-14, alpha 1.214899, combined = 9.459428e-12

commencing linear algebra
read 2910994 cycles
cycles contain 9097602 unique relations
read 9097602 relations
using 20 quadratic characters above 536868404
building initial matrix
memory use: 1163.2 MB
read 2910994 cycles
matrix is 2910816 x 2910994 (876.2 MB) with weight 256607789 (88.15/col)
sparse part has weight 197667834 (67.90/col)
filtering completed in 2 passes
matrix is 2908807 x 2908984 (876.0 MB) with weight 256551143 (88.19/col)
sparse part has weight 197651271 (67.95/col)
read 2908984 cycles
matrix is 2908807 x 2908984 (876.0 MB) with weight 256551143 (88.19/col)
sparse part has weight 197651271 (67.95/col)
saving the first 48 matrix rows for later
matrix is 2908759 x 2908984 (831.7 MB) with weight 204497989 (70.30/col)
sparse part has weight 188932378 (64.95/col)
matrix includes 64 packed rows
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (2 threads)
memory use: 849.9 MB
restarting at iteration 45547 (dim = 2880023)
linear algebra completed 2908597 of 2908984 dimensions (100.0%, ETA 0h 0m)
lanczos halted after 46003 iterations (dim = 2908755)
recovered 35 nontrivial dependencies
BLanczosTime: 102677

commencing square root phase
reading relations for dependency 1
read 1454148 cycles
cycles contain 4549318 unique relations
read 4549318 relations
multiplying 4549318 relations
multiply complete, coefficients have about 146.17 million bits
initial square root is modulo 176051
reading relations for dependency 2
read 1453033 cycles
cycles contain 4546544 unique relations
read 4546544 relations
multiplying 4546544 relations
multiply complete, coefficients have about 146.07 million bits
initial square root is modulo 174721
sqrtTime: 6024
prp44 factor: 37275012028726822642622072954781884705885423
prp152 factor: 88351259701921852832633429667747775669808345171415609203853358189987067824413888270327700386840290722262317778160874561417235000119736451519483267715993
elapsed time 01:57:43
software ソフトウェア
ggnfs-lasieve4I14e on the RSALS grid + msieve 1.44 SVN.
execution environment 実行環境
Heterogeneous machines of the RSALS grid for sieving, Core 2 Duo T7200 with 2 GB RAM for post-processing.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61318118Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)
1200Dmitry DomanovJuly 5, 2009 13:21:35 UTC 2009 年 7 月 5 日 (日) 22 時 21 分 35 秒 (日本時間)
403e62500Dmitry DomanovJuly 5, 2009 13:21:35 UTC 2009 年 7 月 5 日 (日) 22 時 21 分 35 秒 (日本時間)

49×10202+419

c191

name 名前Dmitry Domanov
date 日付May 31, 2011 20:49:34 UTC 2011 年 6 月 1 日 (水) 5 時 49 分 34 秒 (日本時間)
composite number 合成数
28656746537778601559391276669960034737431193242743486051295700842387857416731739362911903254601944660125427859917384634593351435659187368603143238333719448424413517779418166025659472427283213<191>
prime factors 素因数
677023016613921705678749937120577103<36>
42327580945627380071221035558770831240229052151480436703270422910017764113655859190133282139784526869433697771823116813448501314597495266948073862079526371<155>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2675342146
Step 1 took 42907ms
********** Factor found in step 1: 677023016613921705678749937120577103
Found probable prime factor of 36 digits: 677023016613921705678749937120577103
Probable prime cofactor 42327580945627380071221035558770831240229052151480436703270422910017764113655859190133282139784526869433697771823116813448501314597495266948073862079526371 has 155 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 31, 2011 20:49:13 UTC 2011 年 6 月 1 日 (水) 5 時 49 分 13 秒 (日本時間)

49×10203+419

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJune 21, 2010 00:19:06 UTC 2010 年 6 月 21 日 (月) 9 時 19 分 6 秒 (日本時間)

49×10204+419

c157

composite cofactor 合成数の残り
2779700588582342127271401129148224980118509681649188834584965857657553567391025911504090858489312701861986810515518485329365193956362176869651957871074949819<157>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2009 14:00:00 UTC 2009 年 3 月 25 日 (水) 23 時 0 分 0 秒 (日本時間)
403e63400300Dmitry DomanovJune 1, 2011 08:20:34 UTC 2011 年 6 月 1 日 (水) 17 時 20 分 34 秒 (日本時間)
1500Dmitry DomanovOctober 31, 2013 10:06:37 UTC 2013 年 10 月 31 日 (木) 19 時 6 分 37 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:13 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 13 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:18 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 18 秒 (日本時間)

49×10206+419

c172

composite cofactor 合成数の残り
1492587076510660824215951276869688629179202460990212472155287890296412741671748514506966882852252056530767494126450395683603048679300142167683315173096161653214249885497827<172>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 9, 2013 15:00:00 UTC 2013 年 10 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovOctober 31, 2013 10:06:46 UTC 2013 年 10 月 31 日 (木) 19 時 6 分 46 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:14 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 14 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:18 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 18 秒 (日本時間)

49×10210+419

c184

composite cofactor 合成数の残り
4086675658349856326254320846253165900278361107588569506667427945500372877268170613563333327852316410337191140172718208654628537434293304984630263039488477967303604823583562287510488847<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 9, 2013 15:00:00 UTC 2013 年 10 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovOctober 31, 2013 10:06:58 UTC 2013 年 10 月 31 日 (木) 19 時 6 分 58 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:14 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 14 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:19 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 19 秒 (日本時間)

49×10212+419

c161

composite cofactor 合成数の残り
11235078601044150728545127814966919452241666573920110148180822675163282353353264473866531689639259289158928730056460019297670866536148850641792176692763266375811<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 9, 2013 15:00:00 UTC 2013 年 10 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovOctober 31, 2013 10:07:08 UTC 2013 年 10 月 31 日 (木) 19 時 7 分 8 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:15 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 15 秒 (日本時間)
4511e6451 / 4077151CypFebruary 17, 2014 21:19:51 UTC 2014 年 2 月 18 日 (火) 6 時 19 分 51 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:22 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 22 秒 (日本時間)

49×10213+419

c214

name 名前Alfred Reich
date 日付February 8, 2017 13:53:07 UTC 2017 年 2 月 8 日 (水) 22 時 53 分 7 秒 (日本時間)
composite number 合成数
5444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449<214>
prime factors 素因数
7664020863818392582730934287384539200365181891428879705383975143103380444381634498604233471151<94>
710390086507658097276892851249834170471892304757790313964886130721446506832366797693131924000530058027476752750273975599<120>
factorization results 素因数分解の結果
# siever: 14e
# qrange: 8M .. 45M
Tue Feb 07 19:08:35 2017  
Tue Feb 07 19:08:36 2017  
Tue Feb 07 19:08:36 2017  Msieve v. 1.53 (SVN unknown)
Tue Feb 07 19:08:36 2017  random seeds: ed9911e8 77ca3b2e
Tue Feb 07 19:08:36 2017  factoring 5444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449 (214 digits)
Tue Feb 07 19:08:38 2017  no P-1/P+1/ECM available, skipping
Tue Feb 07 19:08:38 2017  commencing number field sieve (214-digit input)
Tue Feb 07 19:08:38 2017  R0: -100000000000000000000000000000000000
Tue Feb 07 19:08:38 2017  R1: 1
Tue Feb 07 19:08:38 2017  A0: 41
Tue Feb 07 19:08:38 2017  A1: 0
Tue Feb 07 19:08:38 2017  A2: 0
Tue Feb 07 19:08:38 2017  A3: 0
Tue Feb 07 19:08:38 2017  A4: 0
Tue Feb 07 19:08:38 2017  A5: 0
Tue Feb 07 19:08:38 2017  A6: 49000
Tue Feb 07 19:08:38 2017  skew 0.31, size 5.554e-011, alpha -0.963, combined = 2.231e-012 rroots = 0
Tue Feb 07 19:08:38 2017  
Tue Feb 07 19:08:38 2017  commencing relation filtering
Tue Feb 07 19:08:38 2017  setting target matrix density to 80.0
Tue Feb 07 19:08:38 2017  estimated available RAM is 24567.3 MB
Tue Feb 07 19:08:38 2017  commencing duplicate removal, pass 1
Tue Feb 07 19:20:32 2017  skipped 4 relations with b > 2^32
Tue Feb 07 19:20:32 2017  found 10543409 hash collisions in 51575316 relations
Tue Feb 07 19:20:54 2017  commencing duplicate removal, pass 2
Tue Feb 07 19:21:18 2017  found 10702994 duplicates and 40872322 unique relations
Tue Feb 07 19:21:18 2017  memory use: 330.4 MB
Tue Feb 07 19:21:19 2017  reading ideals above 720000
Tue Feb 07 19:21:19 2017  commencing singleton removal, initial pass
Tue Feb 07 19:29:44 2017  memory use: 1378.0 MB
Tue Feb 07 19:29:45 2017  reading all ideals from disk
Tue Feb 07 19:29:46 2017  memory use: 1456.1 MB
Tue Feb 07 19:29:49 2017  keeping 43349414 ideals with weight <= 200, target excess is 218608
Tue Feb 07 19:29:53 2017  commencing in-memory singleton removal
Tue Feb 07 19:29:57 2017  begin with 40872322 relations and 43349414 unique ideals
Tue Feb 07 19:30:31 2017  reduce to 19187526 relations and 18608399 ideals in 18 passes
Tue Feb 07 19:30:31 2017  max relations containing the same ideal: 125
Tue Feb 07 19:30:40 2017  removing 1713166 relations and 1550395 ideals in 162771 cliques
Tue Feb 07 19:30:40 2017  commencing in-memory singleton removal
Tue Feb 07 19:30:42 2017  begin with 17474360 relations and 18608399 unique ideals
Tue Feb 07 19:30:56 2017  reduce to 17325069 relations and 16906687 ideals in 10 passes
Tue Feb 07 19:30:56 2017  max relations containing the same ideal: 115
Tue Feb 07 19:31:03 2017  removing 1247448 relations and 1084677 ideals in 162771 cliques
Tue Feb 07 19:31:03 2017  commencing in-memory singleton removal
Tue Feb 07 19:31:05 2017  begin with 16077621 relations and 16906687 unique ideals
Tue Feb 07 19:31:19 2017  reduce to 15994486 relations and 15737970 ideals in 11 passes
Tue Feb 07 19:31:19 2017  max relations containing the same ideal: 110
Tue Feb 07 19:31:29 2017  relations with 0 large ideals: 7814
Tue Feb 07 19:31:29 2017  relations with 1 large ideals: 3002
Tue Feb 07 19:31:29 2017  relations with 2 large ideals: 27518
Tue Feb 07 19:31:29 2017  relations with 3 large ideals: 220122
Tue Feb 07 19:31:29 2017  relations with 4 large ideals: 966090
Tue Feb 07 19:31:29 2017  relations with 5 large ideals: 2539892
Tue Feb 07 19:31:29 2017  relations with 6 large ideals: 4094639
Tue Feb 07 19:31:29 2017  relations with 7+ large ideals: 8135409
Tue Feb 07 19:31:29 2017  commencing 2-way merge
Tue Feb 07 19:31:39 2017  reduce to 9682864 relation sets and 9426348 unique ideals
Tue Feb 07 19:31:39 2017  commencing full merge
Tue Feb 07 19:34:20 2017  memory use: 1162.3 MB
Tue Feb 07 19:34:21 2017  found 4843369 cycles, need 4818548
Tue Feb 07 19:34:22 2017  weight of 4818548 cycles is about 385541949 (80.01/cycle)
Tue Feb 07 19:34:22 2017  distribution of cycle lengths:
Tue Feb 07 19:34:22 2017  1 relations: 630765
Tue Feb 07 19:34:22 2017  2 relations: 584767
Tue Feb 07 19:34:22 2017  3 relations: 554446
Tue Feb 07 19:34:22 2017  4 relations: 482871
Tue Feb 07 19:34:22 2017  5 relations: 425818
Tue Feb 07 19:34:22 2017  6 relations: 356650
Tue Feb 07 19:34:22 2017  7 relations: 303834
Tue Feb 07 19:34:22 2017  8 relations: 258832
Tue Feb 07 19:34:22 2017  9 relations: 217697
Tue Feb 07 19:34:22 2017  10+ relations: 1002868
Tue Feb 07 19:34:22 2017  heaviest cycle: 27 relations
Tue Feb 07 19:34:22 2017  commencing cycle optimization
Tue Feb 07 19:34:28 2017  start with 29557403 relations
Tue Feb 07 19:35:19 2017  pruned 726141 relations
Tue Feb 07 19:35:19 2017  memory use: 950.4 MB
Tue Feb 07 19:35:19 2017  distribution of cycle lengths:
Tue Feb 07 19:35:19 2017  1 relations: 630765
Tue Feb 07 19:35:19 2017  2 relations: 597181
Tue Feb 07 19:35:19 2017  3 relations: 573091
Tue Feb 07 19:35:19 2017  4 relations: 493501
Tue Feb 07 19:35:19 2017  5 relations: 434593
Tue Feb 07 19:35:19 2017  6 relations: 360761
Tue Feb 07 19:35:19 2017  7 relations: 305986
Tue Feb 07 19:35:19 2017  8 relations: 258168
Tue Feb 07 19:35:19 2017  9 relations: 215436
Tue Feb 07 19:35:19 2017  10+ relations: 949066
Tue Feb 07 19:35:19 2017  heaviest cycle: 27 relations
Tue Feb 07 19:35:30 2017  RelProcTime: 1612
Tue Feb 07 19:35:30 2017  
Tue Feb 07 19:35:30 2017  commencing linear algebra
Tue Feb 07 19:35:30 2017  read 4818548 cycles
Tue Feb 07 19:35:38 2017  cycles contain 15695976 unique relations
Tue Feb 07 19:38:19 2017  read 15695976 relations
Tue Feb 07 19:38:41 2017  using 20 quadratic characters above 536870880
Tue Feb 07 19:39:53 2017  building initial matrix
Tue Feb 07 19:42:46 2017  memory use: 1956.8 MB
Tue Feb 07 19:42:54 2017  read 4818548 cycles
Tue Feb 07 19:42:55 2017  matrix is 4818369 x 4818548 (1596.4 MB) with weight 466373682 (96.79/col)
Tue Feb 07 19:42:55 2017  sparse part has weight 370289002 (76.85/col)
Tue Feb 07 19:43:51 2017  filtering completed in 2 passes
Tue Feb 07 19:43:52 2017  matrix is 4814826 x 4815005 (1596.1 MB) with weight 466257833 (96.83/col)
Tue Feb 07 19:43:52 2017  sparse part has weight 370248080 (76.89/col)
Tue Feb 07 19:45:02 2017  matrix starts at (0, 0)
Tue Feb 07 19:45:03 2017  matrix is 4814826 x 4815005 (1596.1 MB) with weight 466257833 (96.83/col)
Tue Feb 07 19:45:03 2017  sparse part has weight 370248080 (76.89/col)
Tue Feb 07 19:45:03 2017  saving the first 48 matrix rows for later
Tue Feb 07 19:45:05 2017  matrix includes 64 packed rows
Tue Feb 07 19:45:05 2017  matrix is 4814778 x 4815005 (1530.5 MB) with weight 379802645 (78.88/col)
Tue Feb 07 19:45:06 2017  sparse part has weight 353059894 (73.32/col)
Tue Feb 07 19:45:06 2017  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Tue Feb 07 19:45:28 2017  commencing Lanczos iteration (12 threads)
Tue Feb 07 19:45:28 2017  memory use: 1257.3 MB
Tue Feb 07 19:45:39 2017  linear algebra at 0.0%, ETA 9h42m
Tue Feb 07 19:45:43 2017  checkpointing every 490000 dimensions
Wed Feb 08 05:15:57 2017  lanczos halted after 76140 iterations (dim = 4814778)
Wed Feb 08 05:16:09 2017  recovered 37 nontrivial dependencies
Wed Feb 08 05:16:11 2017  BLanczosTime: 34841
Wed Feb 08 05:16:11 2017  
Wed Feb 08 05:16:11 2017  commencing square root phase
Wed Feb 08 05:16:11 2017  handling dependencies 1 to 64
Wed Feb 08 05:16:11 2017  reading relations for dependency 1
Wed Feb 08 05:16:13 2017  read 2406401 cycles
Wed Feb 08 05:16:16 2017  cycles contain 7850294 unique relations
Wed Feb 08 05:17:41 2017  read 7850294 relations
Wed Feb 08 05:18:25 2017  multiplying 7850294 relations
Wed Feb 08 05:33:01 2017  multiply complete, coefficients have about 302.66 million bits
Wed Feb 08 05:33:04 2017  initial square root is modulo 269623
Wed Feb 08 05:50:43 2017  sqrtTime: 2072
Wed Feb 08 05:50:43 2017  prp94 factor: 7664020863818392582730934287384539200365181891428879705383975143103380444381634498604233471151
Wed Feb 08 05:50:43 2017  prp120 factor: 710390086507658097276892851249834170471892304757790313964886130721446506832366797693131924000530058027476752750273975599
Wed Feb 08 05:50:43 2017  elapsed time 10:42:07

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 9, 2013 15:00:00 UTC 2013 年 10 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 31, 2013 10:07:25 UTC 2013 年 10 月 31 日 (木) 19 時 7 分 25 秒 (日本時間)
4511e64250850Serge BatalovNovember 8, 2013 17:14:20 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 20 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:35 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 35 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:12 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 12 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:26 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 26 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:23 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 23 秒 (日本時間)

49×10216+419

c183

composite cofactor 合成数の残り
461458219414637173431932195819834033981231985705656043194837980957172434375644877048349764304357037686001110394650639128359140881276112649696092978628935222939092799907992166964270393<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 9, 2013 15:00:00 UTC 2013 年 10 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovOctober 31, 2013 10:07:34 UTC 2013 年 10 月 31 日 (木) 19 時 7 分 34 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:15 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 15 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:19 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 19 秒 (日本時間)

49×10218+419

c199

composite cofactor 合成数の残り
1870364885063393939514503308586640445184727418762021245468492696032986476405134366489985922848542909121530759402412619180871688894089980071399763931753124040775667089613579256734336887359411051585987<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 9, 2013 15:00:00 UTC 2013 年 10 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovOctober 31, 2013 10:07:44 UTC 2013 年 10 月 31 日 (木) 19 時 7 分 44 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:16 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 16 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:19 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 19 秒 (日本時間)

49×10220+419

c181

composite cofactor 合成数の残り
1699231551252566671254670603976358084303825717991636522011523151236677130745298784507257606011931293670792038834267957828420555979631426679456423804972167915565116945136763111765613<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 9, 2013 15:00:00 UTC 2013 年 10 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovOctober 31, 2013 10:07:54 UTC 2013 年 10 月 31 日 (木) 19 時 7 分 54 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:17 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 17 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:20 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 20 秒 (日本時間)

49×10221+419

c154

name 名前Erik Branger
date 日付January 3, 2018 23:34:19 UTC 2018 年 1 月 4 日 (木) 8 時 34 分 19 秒 (日本時間)
composite number 合成数
3459971471186897051920116193601615611273086349694503894964128013636172332982211199894246702788565106709870219003508925639018252567161496727263189366469583<154>
prime factors 素因数
10726308985433837445134213259052098049079893589317852455721<59>
322568693097083542035088534903400148113987991012367504446526605188714178042981357300135063828023<96>
factorization results 素因数分解の結果
Number: 54449_221
N = 3459971471186897051920116193601615611273086349694503894964128013636172332982211199894246702788565106709870219003508925639018252567161496727263189366469583 (154 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=10726308985433837445134213259052098049079893589317852455721 (pp59)
r2=322568693097083542035088534903400148113987991012367504446526605188714178042981357300135063828023 (pp96)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 109.74 hours.
Factorization parameters were as follows:
n: 3459971471186897051920116193601615611273086349694503894964128013636172332982211199894246702788565106709870219003508925639018252567161496727263189366469583
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 490
c0: 41
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 67108864
lpbr: 29
lpba: 27
mfbr: 58
mfba: 54
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/67108864
Large primes per side: 3
Large prime bits: 29/27
Total raw relations: 28622559
Relations: 10759528 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 48.78 hours.
Total relation processing time: 0.28 hours.
Pruned matrix : 9235149 x 9235374
Matrix solve time: 57.98 hours.
time per square root: 2.71 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,67108864,29,27,58,54,2.8,2.8,100000
total time: 109.74 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.15063-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e386Ignacio SantosOctober 9, 2013 17:58:05 UTC 2013 年 10 月 10 日 (木) 2 時 58 分 5 秒 (日本時間)
255e4206Ignacio SantosOctober 9, 2013 17:59:56 UTC 2013 年 10 月 10 日 (木) 2 時 59 分 56 秒 (日本時間)
3025e4410Ignacio SantosOctober 9, 2013 18:09:37 UTC 2013 年 10 月 10 日 (木) 3 時 9 分 37 秒 (日本時間)
351e6418118Makoto KamadaOctober 9, 2013 15:00:00 UTC 2013 年 10 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 9, 2013 18:17:51 UTC 2013 年 10 月 10 日 (木) 3 時 17 分 51 秒 (日本時間)
403e6110Ignacio SantosOctober 9, 2013 18:17:51 UTC 2013 年 10 月 10 日 (木) 3 時 17 分 51 秒 (日本時間)
4511e6443632Ignacio SantosOctober 9, 2013 18:17:51 UTC 2013 年 10 月 10 日 (木) 3 時 17 分 51 秒 (日本時間)
230Ignacio SantosOctober 27, 2013 17:14:54 UTC 2013 年 10 月 28 日 (月) 2 時 14 分 54 秒 (日本時間)
230Ignacio SantosOctober 29, 2013 14:21:53 UTC 2013 年 10 月 29 日 (火) 23 時 21 分 53 秒 (日本時間)
230Ignacio SantosOctober 29, 2013 17:26:35 UTC 2013 年 10 月 30 日 (水) 2 時 26 分 35 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:48 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 48 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:43 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 43 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:40 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 40 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:23 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 23 秒 (日本時間)
400Serge BatalovJune 23, 2015 21:29:40 UTC 2015 年 6 月 24 日 (水) 6 時 29 分 40 秒 (日本時間)
864Ignacio SantosDecember 26, 2015 23:01:56 UTC 2015 年 12 月 27 日 (日) 8 時 1 分 56 秒 (日本時間)

49×10222+419

c221

composite cofactor 合成数の残り
76682316118935837245696400625978090766823161189358372456964006259780907668231611893583724569640062597809076682316118935837245696400625978090766823161189358372456964006259780907668231611893583724569640062597809076682316119<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 9, 2013 15:00:00 UTC 2013 年 10 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 25, 2013 12:02:54 UTC 2013 年 10 月 25 日 (金) 21 時 2 分 54 秒 (日本時間)
4511e650502000Dmitry DomanovOctober 25, 2013 12:02:54 UTC 2013 年 10 月 25 日 (金) 21 時 2 分 54 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:15:22 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 22 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:22 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 22 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:38 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 38 秒 (日本時間)

49×10223+419

c212

composite cofactor 合成数の残り
21053435856698460451558872517856290927200847978314826125560496030486181814603272507294885237628773616532770316506944725632439267169085203762585888780162073295211913343497297929762505041965701519806303794306286303<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 9, 2013 15:00:00 UTC 2013 年 10 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovOctober 31, 2013 12:37:06 UTC 2013 年 10 月 31 日 (木) 21 時 37 分 6 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:17 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 17 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:20 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 20 秒 (日本時間)

49×10224+419

c198

name 名前Serge Batalov
date 日付May 19, 2014 06:00:34 UTC 2014 年 5 月 19 日 (月) 15 時 0 分 34 秒 (日本時間)
composite number 合成数
113355751517755217930785970472252486854660086533381663945345234659500740969595849722286735475535566694921220416308240651507684625396859325625973599812089090258598057197384529351241894575750237010349<198>
prime factors 素因数
337907718875120741992946679826144263185363639<45>
335463634554165564067092114410379233556826251071105565668947042601648578374790194289457328125824281985532878911534338360448400432443801959602447064072891<153>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2259498539
Step 1 took 19219ms
Step 2 took 12934ms
********** Factor found in step 2: 337907718875120741992946679826144263185363639
Found probable prime factor of 45 digits: 337907718875120741992946679826144263185363639
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 9, 2013 15:00:00 UTC 2013 年 10 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61800 / 23181500Dmitry DomanovOctober 31, 2013 12:37:15 UTC 2013 年 10 月 31 日 (木) 21 時 37 分 15 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:18 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 18 秒 (日本時間)

49×10225+419

c184

composite cofactor 合成数の残り
3221971890320014729169441111536183402249166150128396380495053622370293880234944847447115567905255841419666752611192389512010596272055291224218242568901509986598539641518087678766795971<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 9, 2013 15:00:00 UTC 2013 年 10 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovOctober 31, 2013 12:37:25 UTC 2013 年 10 月 31 日 (木) 21 時 37 分 25 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:19 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 19 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:21 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 21 秒 (日本時間)

49×10226+419

c176

name 名前Dmitry Domanov
date 日付October 24, 2013 06:32:07 UTC 2013 年 10 月 24 日 (木) 15 時 32 分 7 秒 (日本時間)
composite number 合成数
94371491352409662017243894368427827763462633344725006623044551249700311561537086682884116023107010677698998259809088978854746429452933220594465774275985672990075281399594613087<176>
prime factors 素因数
23521645285567773570838830776021869<35>
composite cofactor 合成数の残り
4012112682028811169242179047402376969883108841904511254162408048349996516140188057494732687462654443165875830278690530376217256294115656012923<142>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2137482703
Step 1 took 22764ms
Step 2 took 8930ms
********** Factor found in step 2: 23521645285567773570838830776021869
Found probable prime factor of 35 digits: 23521645285567773570838830776021869

c142

name 名前Ignacio Santos
date 日付October 25, 2013 19:27:15 UTC 2013 年 10 月 26 日 (土) 4 時 27 分 15 秒 (日本時間)
composite number 合成数
4012112682028811169242179047402376969883108841904511254162408048349996516140188057494732687462654443165875830278690530376217256294115656012923<142>
prime factors 素因数
197821033923143009775860087565503951278999<42>
20281527209020595391673580019210720960583134129285411661623808902093871126668434639443263227722470077<101>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2560422610
Step 1 took 29750ms
Step 2 took 18828ms
********** Factor found in step 2: 197821033923143009775860087565503951278999
Found probable prime factor of 42 digits: 197821033923143009775860087565503951278999
Probable prime cofactor 20281527209020595391673580019210720960583134129285411661623808902093871126668434639443263227722470077 has 101 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
351e6418118Makoto KamadaOctober 9, 2013 15:00:00 UTC 2013 年 10 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 25, 2013 16:17:50 UTC 2013 年 10 月 26 日 (土) 1 時 17 分 50 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 25, 2013 16:17:50 UTC 2013 年 10 月 26 日 (土) 1 時 17 分 50 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 25, 2013 16:17:50 UTC 2013 年 10 月 26 日 (土) 1 時 17 分 50 秒 (日本時間)

49×10227+419

c208

name 名前Serge Batalov
date 日付October 10, 2013 03:42:39 UTC 2013 年 10 月 10 日 (木) 12 時 42 分 39 秒 (日本時間)
composite number 合成数
2068283937210392196848630859579604340550763953406325936607700140369892838597262868839870717603687933850061178482018466625980772581905543493985147657187257538567903968673193392422790942567300522021074189827601<208>
prime factors 素因数
689528354743285956984502950903191869112063<42>
composite cofactor 合成数の残り
2999563285516260190858079701333474835159894536140310800796048004054948390401997087128039265625723946401795451235294273655321867382478512427633294715634983264841241327<166>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=388252721
Step 1 took 11241ms
Step 2 took 6925ms
********** Factor found in step 2: 689528354743285956984502950903191869112063
Found probable prime factor of 42 digits: 689528354743285956984502950903191869112063
Composite cofactor

c166

name 名前Dmitry Domanov
date 日付October 25, 2013 05:38:11 UTC 2013 年 10 月 25 日 (金) 14 時 38 分 11 秒 (日本時間)
composite number 合成数
2999563285516260190858079701333474835159894536140310800796048004054948390401997087128039265625723946401795451235294273655321867382478512427633294715634983264841241327<166>
prime factors 素因数
84011447788285708588418887568122561769<38>
composite cofactor 合成数の残り
35704220847084483151643492725438839588400391048178724846299746098000067859897250446472074221979493984029611815936373862823170583<128>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2383118531
Step 1 took 19495ms
Step 2 took 8227ms
********** Factor found in step 2: 84011447788285708588418887568122561769
Found probable prime factor of 38 digits: 84011447788285708588418887568122561769

c128

name 名前Erik Branger
date 日付December 9, 2013 00:18:29 UTC 2013 年 12 月 9 日 (月) 9 時 18 分 29 秒 (日本時間)
composite number 合成数
35704220847084483151643492725438839588400391048178724846299746098000067859897250446472074221979493984029611815936373862823170583<128>
prime factors 素因数
3403571803458604441858286684894218413878638711934151739<55>
10490221129110000781657666962622341020788950891280681229078033345896202197<74>
factorization results 素因数分解の結果
Number: 54449_227
N = 35704220847084483151643492725438839588400391048178724846299746098000067859897250446472074221979493984029611815936373862823170583 (128 digits)
Divisors found:
r1=3403571803458604441858286684894218413878638711934151739 (pp55)
r2=10490221129110000781657666962622341020788950891280681229078033345896202197 (pp74)
Version: Msieve v. 1.51 (SVN 845)
Total time: 55.17 hours.
Factorization parameters were as follows:
# Murphy_E = 1.042e-10, selected by Erik Branger
n: 35704220847084483151643492725438839588400391048178724846299746098000067859897250446472074221979493984029611815936373862823170583
Y0: -6238001168256270854245446
Y1: 8894838347561
c0: -250747980511490561754849180886375
c1: -15126531415377549646663988525
c2: -11345716562816516387237
c3: 35282718112526849
c4: 3061324596
c5: 3780
skew: 1007579.69
type: gnfs
# selected mechanically
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 21175951
Relations: 1306090 relations
Pruned matrix : 851328 x 851554
Polynomial selection time: 0.00 hours.
Total sieving time: 54.46 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.53 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: gnfs,127,5,65,2000,1e-05,0.28,250,20,50000,3600,8400000,8400000,28,28,53,53,2.5,2.5,100000
total time: 55.17 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 9, 2013 15:00:00 UTC 2013 年 10 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 25, 2013 15:14:50 UTC 2013 年 10 月 26 日 (土) 0 時 14 分 50 秒 (日本時間)
403e6110Ignacio SantosOctober 25, 2013 15:14:50 UTC 2013 年 10 月 26 日 (土) 0 時 14 分 50 秒 (日本時間)
4511e62422 / 443732Ignacio SantosOctober 25, 2013 15:14:50 UTC 2013 年 10 月 26 日 (土) 0 時 14 分 50 秒 (日本時間)
230Ignacio SantosOctober 25, 2013 19:55:50 UTC 2013 年 10 月 26 日 (土) 4 時 55 分 50 秒 (日本時間)
230Ignacio SantosOctober 26, 2013 11:11:25 UTC 2013 年 10 月 26 日 (土) 20 時 11 分 25 秒 (日本時間)
230Ignacio SantosOctober 26, 2013 17:35:10 UTC 2013 年 10 月 27 日 (日) 2 時 35 分 10 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:45:07 UTC 2013 年 11 月 8 日 (金) 10 時 45 分 7 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:08:17 UTC 2013 年 11 月 9 日 (土) 2 時 8 分 17 秒 (日本時間)

49×10229+419

c228

name 名前Serge Batalov
date 日付October 10, 2013 15:13:11 UTC 2013 年 10 月 11 日 (金) 0 時 13 分 11 秒 (日本時間)
composite number 合成数
196550340954673084636983553951062976333734456478138788608102687525070196550340954673084636983553951062976333734456478138788608102687525070196550340954673084636983553951062976333734456478138788608102687525070196550340954673084637<228>
prime factors 素因数
2102489517247520337003668989526489209<37>
93484575947844666896252569352149054843321947465309043755380566742832261784073854920584859070660149804418659675143581143976594097068624180604423548108447215280428996195605137139093858569269893<191>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=2752348576
Step 1 took 14057ms
Step 2 took 7853ms
********** Factor found in step 2: 2102489517247520337003668989526489209
Found probable prime factor of 37 digits: 2102489517247520337003668989526489209
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 9, 2013 15:00:00 UTC 2013 年 10 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)

49×10231+419

c200

composite cofactor 合成数の残り
41605075079812155880437230720690922267435138344527855033187424999298251669938988793800039046591150919584107554592673444727381200813272947915824637922560761099232700216358330131700873174258925286900409<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 9, 2013 15:00:00 UTC 2013 年 10 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovOctober 31, 2013 12:37:41 UTC 2013 年 10 月 31 日 (木) 21 時 37 分 41 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:19 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 19 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:21 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 21 秒 (日本時間)

49×10232+419

c211

composite cofactor 合成数の残り
1772379010032354557072915375584133689052787946263031773394191026883522540482047543792299532625234468795589409528903876043640687499126052062844295924030945943610213147604655446632829420361192343100287039824830539<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 9, 2013 15:00:00 UTC 2013 年 10 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovOctober 31, 2013 12:37:51 UTC 2013 年 10 月 31 日 (木) 21 時 37 分 51 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:21 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 21 秒 (日本時間)
4511e6300 / 3681Serge BatalovMay 27, 2014 00:33:24 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 24 秒 (日本時間)
5043e6113 / 7417CypFebruary 10, 2014 13:55:27 UTC 2014 年 2 月 10 日 (月) 22 時 55 分 27 秒 (日本時間)

49×10233+419

c229

name 名前Dmitry Domanov
date 日付October 28, 2013 05:10:46 UTC 2013 年 10 月 28 日 (月) 14 時 10 分 46 秒 (日本時間)
composite number 合成数
1766776170732595542027098019660252548033776433585621759182638864099937513814206539018891164063916913925188927866134614642680336466296220577317550613630209420666882285472809134449142626792331326059263441831418544587481200960693557<229>
prime factors 素因数
11971282899651934299320702204024387745905417<44>
147584530876299369316214440107770246132443223542774536300417089455545101024725700711851321447768366561246843789137850251263282822794094637762155477257329514727390582337664003228557289421<186>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=645117679
Step 1 took 154580ms
Step 2 took 46886ms
********** Factor found in step 2: 11971282899651934299320702204024387745905417
Found probable prime factor of 44 digits: 11971282899651934299320702204024387745905417

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 9, 2013 15:00:00 UTC 2013 年 10 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 25, 2013 12:02:20 UTC 2013 年 10 月 25 日 (金) 21 時 2 分 20 秒 (日本時間)
4511e62000 / 4143Dmitry DomanovOctober 25, 2013 12:02:20 UTC 2013 年 10 月 25 日 (金) 21 時 2 分 20 秒 (日本時間)

49×10234+419

c233

composite cofactor 合成数の残り
10823945217583388557543627126132096311022752374641042633090346808040645018776231499889551579412414402474044621161917384581400485973050585376629114203666887563507841837861718577424342831897503865694720565495913408438259332891539650983<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 9, 2013 15:00:00 UTC 2013 年 10 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 25, 2013 12:02:05 UTC 2013 年 10 月 25 日 (金) 21 時 2 分 5 秒 (日本時間)
4511e649502000Dmitry DomanovOctober 25, 2013 12:02:05 UTC 2013 年 10 月 25 日 (金) 21 時 2 分 5 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:16:40 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 40 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:21 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 21 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:08 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 8 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:04:09 UTC 2014 年 5 月 25 日 (日) 4 時 4 分 9 秒 (日本時間)

49×10237+419

c226

composite cofactor 合成数の残り
3145292464644149599532361898630754216140014867770891739329750874227382685827203550760289810994475102012685137998721895882544765220631933220335143008449474287752233039871163383277104781802078023584143077469401308340834520331017<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 9, 2013 15:00:00 UTC 2013 年 10 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovOctober 31, 2013 12:38:06 UTC 2013 年 10 月 31 日 (木) 21 時 38 分 6 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:21 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 21 秒 (日本時間)
4511e6451 / 4077151CypFebruary 15, 2014 12:05:21 UTC 2014 年 2 月 15 日 (土) 21 時 5 分 21 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:24 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 24 秒 (日本時間)

49×10239+419

c190

name 名前Serge Batalov
date 日付October 10, 2013 15:11:40 UTC 2013 年 10 月 11 日 (金) 0 時 11 分 40 秒 (日本時間)
composite number 合成数
8810016288073147440047102001868784600242747778500994828522506437675018423180175228569175965122363625630842604426658807912788185688692597286650935696939959232663065952918811725805376965813671<190>
prime factors 素因数
40677898668475561716500343396722129<35>
216579926113555810449442114085365490785714484382834784244417753876222906809500330861082404170380525611091913803457401800935635168040406571357314484178590199<156>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3241139852
Step 1 took 9689ms
Step 2 took 6200ms
********** Factor found in step 2: 40677898668475561716500343396722129
Found probable prime factor of 35 digits: 40677898668475561716500343396722129

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 9, 2013 15:00:00 UTC 2013 年 10 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)

49×10241+419

c208

composite cofactor 合成数の残り
2069410301847824180782608227474562453365264126755826222771400256088208039948034225846040760094737123838654191944536420326879892309688056988112483212529631342717531855374394612985707109362969411214530810935511<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 9, 2013 15:00:00 UTC 2013 年 10 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovOctober 31, 2013 12:38:17 UTC 2013 年 10 月 31 日 (木) 21 時 38 分 17 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:22 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 22 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:21 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 21 秒 (日本時間)

49×10242+419

c193

composite cofactor 合成数の残り
2843966282270767073798487804803399073961882336099383630311305521116885838021313179486400798502645844155387870308208918542730240564266092932907559626310974772618016678001326907886905745320328339<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 9, 2013 15:00:00 UTC 2013 年 10 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovOctober 31, 2013 12:38:26 UTC 2013 年 10 月 31 日 (木) 21 時 38 分 26 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:23 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 23 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:22 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 22 秒 (日本時間)

49×10243+419

c161

composite cofactor 合成数の残り
15255646584524933628401491035679228409278319934874976415134002189573457236804646389029777056016204826506581623879794571161151159888845842227514598169554567636169<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e386Ignacio SantosOctober 9, 2013 17:58:43 UTC 2013 年 10 月 10 日 (木) 2 時 58 分 43 秒 (日本時間)
255e4206Ignacio SantosOctober 9, 2013 18:00:30 UTC 2013 年 10 月 10 日 (木) 3 時 0 分 30 秒 (日本時間)
3025e4410Ignacio SantosOctober 9, 2013 18:19:25 UTC 2013 年 10 月 10 日 (木) 3 時 19 分 25 秒 (日本時間)
351e6418118Makoto KamadaOctober 9, 2013 15:00:00 UTC 2013 年 10 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 9, 2013 19:08:46 UTC 2013 年 10 月 10 日 (木) 4 時 8 分 46 秒 (日本時間)
403e6110Ignacio SantosOctober 9, 2013 19:08:46 UTC 2013 年 10 月 10 日 (木) 4 時 8 分 46 秒 (日本時間)
4511e6197232Ignacio SantosOctober 9, 2013 19:08:46 UTC 2013 年 10 月 10 日 (木) 4 時 8 分 46 秒 (日本時間)
230Ignacio SantosOctober 27, 2013 23:05:10 UTC 2013 年 10 月 28 日 (月) 8 時 5 分 10 秒 (日本時間)
230Ignacio SantosOctober 30, 2013 20:13:25 UTC 2013 年 10 月 31 日 (木) 5 時 13 分 25 秒 (日本時間)
230Ignacio SantosOctober 30, 2013 23:31:54 UTC 2013 年 10 月 31 日 (木) 8 時 31 分 54 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:12:48 UTC 2013 年 11 月 9 日 (土) 2 時 12 分 48 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:32 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 32 秒 (日本時間)
5043e6800 / 7104Erik BrangerFebruary 2, 2014 16:21:34 UTC 2014 年 2 月 3 日 (月) 1 時 21 分 34 秒 (日本時間)

49×10245+419

c222

name 名前Serge Batalov
date 日付October 10, 2013 08:28:01 UTC 2013 年 10 月 10 日 (木) 17 時 28 分 1 秒 (日本時間)
composite number 合成数
136029954387821730971664915867841308245244362305665468411016654459510290215598404440991532928266825079336714956663133922352178412719979855513495827585453553195335101833412213971488213494983010101353975392894838449089280581<222>
prime factors 素因数
2664014024863349298601175150283956599<37>
composite cofactor 合成数の残り
51062026370074907053081652726057450185012866080503398002556102368462667085798889602142061595666833762092502443895881632132989438707336864611207059450335330924225419898520936803959574819<185>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=185853922
Step 1 took 13945ms
Step 2 took 7848ms
********** Factor found in step 2: 2664014024863349298601175150283956599
Found probable prime factor of 37 digits: 2664014024863349298601175150283956599
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 9, 2013 15:00:00 UTC 2013 年 10 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovOctober 31, 2013 12:38:40 UTC 2013 年 10 月 31 日 (木) 21 時 38 分 40 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:23 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 23 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:22 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 22 秒 (日本時間)

49×10246+419

c215

composite cofactor 合成数の残り
71298780257103897054663261547665031262535015927310245259313087710321572728452054681781651903080018147066058537149328488769804930518904931883833040163045317831319436083112674251580591594047179390938898402809207019433<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 9, 2013 15:00:00 UTC 2013 年 10 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovOctober 31, 2013 12:38:49 UTC 2013 年 10 月 31 日 (木) 21 時 38 分 49 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:24 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 24 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:22 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 22 秒 (日本時間)

49×10247+419

c245

composite cofactor 合成数の残り
17223804000140602481633800836584765721114977679356040634117192168441772997293402228549333895743259868536679672396217793244050757495869802102007100425322506942247530668916306372807480052022918204506309536363316812541741361735034623361102323456009<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 9, 2013 15:00:00 UTC 2013 年 10 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 25, 2013 12:01:46 UTC 2013 年 10 月 25 日 (金) 21 時 1 分 46 秒 (日本時間)
4511e628502000Dmitry DomanovOctober 25, 2013 12:01:46 UTC 2013 年 10 月 25 日 (金) 21 時 1 分 46 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:18:03 UTC 2013 年 11 月 9 日 (土) 2 時 18 分 3 秒 (日本時間)
5043e6775 / 6856Serge BatalovNovember 25, 2013 02:18:12 UTC 2013 年 11 月 25 日 (月) 11 時 18 分 12 秒 (日本時間)

49×10248+419

c198

composite cofactor 合成数の残り
547590636357207702125777558232020958814518934205428182517380509273957300063951909825773898237600244178635953442728578023262227803470788160255105487577667231384933948641411834352952892722748914832161<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 9, 2013 15:00:00 UTC 2013 年 10 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovOctober 31, 2013 12:39:05 UTC 2013 年 10 月 31 日 (木) 21 時 39 分 5 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:25 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 25 秒 (日本時間)
4511e6461 / 4077161CypJanuary 10, 2014 02:20:46 UTC 2014 年 1 月 10 日 (金) 11 時 20 分 46 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:24 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 24 秒 (日本時間)

49×10249+419

c238

composite cofactor 合成数の残り
1812126668393087736972477812496335446618749792740827801896163578890715215149237612122745387822077303975129588934966119606424243990749732335757939941456461165650174900804370817699787884622081882961499223845274391477982883868699614234918001<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 9, 2013 15:00:00 UTC 2013 年 10 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovOctober 31, 2013 12:39:13 UTC 2013 年 10 月 31 日 (木) 21 時 39 分 13 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:25 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 25 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:23 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 23 秒 (日本時間)

49×10250+419

c240

name 名前Dmitry Domanov
date 日付October 28, 2013 05:11:38 UTC 2013 年 10 月 28 日 (月) 14 時 11 分 38 秒 (日本時間)
composite number 合成数
297107781174798236041658450155146881694054522097710078824177162102422594983052614234832842515627217163984260982497663919026888759485097314698886874881104453691163452702294579243015333702865345398502752572094196413717628725319196470916166939<240>
prime factors 素因数
9335077677902713847524883263108430117<37>
31827028271879213940371278237335879337422929137537693131731978281897282198044914822486476825568670536944587592892426136809408809438927702309412877287957439607458508334906385514289737943955649639402242367<203>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3723376750
Step 1 took 166444ms
Step 2 took 50971ms
********** Factor found in step 2: 9335077677902713847524883263108430117
Found probable prime factor of 37 digits: 9335077677902713847524883263108430117

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 9, 2013 15:00:00 UTC 2013 年 10 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 25, 2013 12:01:33 UTC 2013 年 10 月 25 日 (金) 21 時 1 分 33 秒 (日本時間)
4511e62000 / 4143Dmitry DomanovOctober 25, 2013 12:01:33 UTC 2013 年 10 月 25 日 (金) 21 時 1 分 33 秒 (日本時間)