Table of contents 目次

163×10108-19

c109

name 名前Dmitry Domanov
date 日付December 6, 2014 16:47:53 UTC 2014 年 12 月 7 日 (日) 1 時 47 分 53 秒 (日本時間)
composite number 合成数
2012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679<109>
prime factors 素因数
123911417162116946841677227842484963<36>
16240195819724462650666372699381285179876643440292494862390052763637031333<74>
factorization results 素因数分解の結果
N=2012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679
  ( 109 digits)
SNFS difficulty: 110 digits.
Divisors found:
 r1=123911417162116946841677227842484963 (pp36)
 r2=16240195819724462650666372699381285179876643440292494862390052763637031333 (pp74)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 0.57 hours.
Scaled time: 0.90 units (timescale=1.576).
Factorization parameters were as follows:
n: 2012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679
m: 1000000000000000000000
deg: 5
c5: 163000
c0: -1
skew: 0.09
# Murphy_E = 2.716e-08
type: snfs
lss: 1
rlim: 480000
alim: 480000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 480000/480000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [240000, 590001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 61663 x 61888
Total sieving time: 0.54 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,110.000,5,0,0,0,0,0,0,0,0,480000,480000,25,25,44,44,2.2,2.2,50000
total time: 0.57 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 KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

163×10113-19

c95

name 名前KTakahashi
date 日付December 6, 2014 17:41:08 UTC 2014 年 12 月 7 日 (日) 2 時 41 分 8 秒 (日本時間)
composite number 合成数
27432207523915238598869721362369050078268063517223041027104687069388417346690612746761288831081<95>
prime factors 素因数
893381506723891475620549251844762277<36>
30706039152871604895339231687245449378509470538680751675253<59>
factorization results 素因数分解の結果
Number: 18111_113
N=27432207523915238598869721362369050078268063517223041027104687069388417346690612746761288831081
  ( 95 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=893381506723891475620549251844762277 (pp36)
 r2=30706039152871604895339231687245449378509470538680751675253 (pp59)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.72 hours.
Scaled time: 3.38 units (timescale=1.967).
Factorization parameters were as follows:
n: 27432207523915238598869721362369050078268063517223041027104687069388417346690612746761288831081
m: 100000000000000000000000
c5: 163
c0: -100
skew: 0.91
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 120901 x 121149
Total sieving time: 1.65 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,117.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.72 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 KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

163×10114-19

c96

name 名前KTakahashi
date 日付December 6, 2014 17:41:41 UTC 2014 年 12 月 7 日 (日) 2 時 41 分 41 秒 (日本時間)
composite number 合成数
468561562701190994833890339316719150410751968080936040177449889588590303901938956216660670063657<96>
prime factors 素因数
7120655438672696935900153705784258551810099<43>
65803150670148381501493090102450772259613963126830643<53>
factorization results 素因数分解の結果
Number: 18111_114
N=468561562701190994833890339316719150410751968080936040177449889588590303901938956216660670063657
  ( 96 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=7120655438672696935900153705784258551810099 (pp43)
 r2=65803150670148381501493090102450772259613963126830643 (pp53)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.78 hours.
Scaled time: 3.22 units (timescale=1.803).
Factorization parameters were as follows:
n: 468561562701190994833890339316719150410751968080936040177449889588590303901938956216660670063657
m: 100000000000000000000000
c5: 163
c0: -10
skew: 0.57
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 103336 x 103562
Total sieving time: 1.73 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,117.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.78 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 KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

163×10117-19

c104

name 名前KTakahashi
date 日付December 6, 2014 17:42:20 UTC 2014 年 12 月 7 日 (日) 2 時 42 分 20 秒 (日本時間)
composite number 合成数
27100201465571182451936938553216909779953250243860832821495747357453946436730337068706022421070183815269<104>
prime factors 素因数
21178341313187462704574602948552016478617<41>
1279618694628188782681071494469846827695821150100552610370397357<64>
factorization results 素因数分解の結果
Number: 18111_117
N=27100201465571182451936938553216909779953250243860832821495747357453946436730337068706022421070183815269
  ( 104 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=21178341313187462704574602948552016478617 (pp41)
 r2=1279618694628188782681071494469846827695821150100552610370397357 (pp64)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.12 hours.
Scaled time: 3.67 units (timescale=1.733).
Factorization parameters were as follows:
n: 27100201465571182451936938553216909779953250243860832821495747357453946436730337068706022421070183815269
m: 500000000000000000000000
c5: 652
c0: -125
skew: 0.72
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 80593 x 80818
Total sieving time: 2.08 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.12 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 KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

163×10125-19

c123

name 名前Jo Yeong Uk
date 日付December 7, 2014 11:10:45 UTC 2014 年 12 月 7 日 (日) 20 時 10 分 45 秒 (日本時間)
composite number 合成数
179264684857083154618540147590924587856192330110968139276562517184114729398308533218955865694458191736227963091271019609137<123>
prime factors 素因数
13535903808715751416819518026554007<35>
13243643526903231226058260795993496943898553558352860806153925781256862286199588846313591<89>
factorization results 素因数分解の結果
Number: 18111_125
N=179264684857083154618540147590924587856192330110968139276562517184114729398308533218955865694458191736227963091271019609137
  ( 123 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=13535903808715751416819518026554007
 r2=13243643526903231226058260795993496943898553558352860806153925781256862286199588846313591
Version: 
Total time: 0.49 hours.
Scaled time: 2.54 units (timescale=5.167).
Factorization parameters were as follows:
n: 179264684857083154618540147590924587856192330110968139276562517184114729398308533218955865694458191736227963091271019609137
m: 10000000000000000000000000
deg: 5
c5: 163
c0: -1
skew: 0.36
# Murphy_E = 1.234e-08
type: snfs
lss: 1
rlim: 720000
alim: 720000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 720000/720000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [360000, 580001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 2144593
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 109981 x 110229
Total sieving time: 0.42 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,127,5,0,0,0,0,0,0,0,0,720000,720000,26,26,46,46,2.3,2.3,20000
total time: 0.49 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

163×10127-19

c103

name 名前Jo Yeong Uk
date 日付December 9, 2014 13:16:48 UTC 2014 年 12 月 9 日 (火) 22 時 16 分 48 秒 (日本時間)
composite number 合成数
4402271955808683383245136440583775097858010828994033415249395346644062412936575874473071776436039820849<103>
prime factors 素因数
3921853368179444544309757539624404171784709890523<49>
1122497845413392637806096970928556038729224904933307363<55>
factorization results 素因数分解の結果
Number: 18111_127
N=4402271955808683383245136440583775097858010828994033415249395346644062412936575874473071776436039820849
  ( 103 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=3921853368179444544309757539624404171784709890523
 r2=1122497845413392637806096970928556038729224904933307363
Version: 
Total time: 0.69 hours.
Scaled time: 3.60 units (timescale=5.255).
Factorization parameters were as follows:
n: 4402271955808683383245136440583775097858010828994033415249395346644062412936575874473071776436039820849
m: 10000000000000000000000000
deg: 5
c5: 16300
c0: -1
skew: 0.14
# Murphy_E = 8.686e-09
type: snfs
lss: 1
rlim: 800000
alim: 800000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3

Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [400000, 700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 2454994
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 117374 x 117614
Total sieving time: 0.57 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,129,5,0,0,0,0,0,0,0,0,800000,800000,26,26,47,47,2.3,2.3,25000
total time: 0.69 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Total of 12 processors activated (81596.44 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

163×10132-19

c101

name 名前Dmitry Domanov
date 日付December 8, 2014 12:40:32 UTC 2014 年 12 月 8 日 (月) 21 時 40 分 32 秒 (日本時間)
composite number 合成数
38708645728321154840002305828729054772614600987696097127279732149062633775533677322428763416757721831<101>
prime factors 素因数
1978818709442173166045506010927046402743641651171<49>
19561491683709155859635543957644256593395944872892461<53>
factorization results 素因数分解の結果
N=38708645728321154840002305828729054772614600987696097127279732149062633775533677322428763416757721831
  ( 101 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=1978818709442173166045506010927046402743641651171 (pp49)
 r2=19561491683709155859635543957644256593395944872892461 (pp53)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 2.13 hours.
Scaled time: 4.55 units (timescale=2.132).
Factorization parameters were as follows:
n: 38708645728321154840002305828729054772614600987696097127279732149062633775533677322428763416757721831
m: 100000000000000000000000000
deg: 5
c5: 16300
c0: -1
skew: 0.14
# Murphy_E = 5.735e-09
type: snfs
lss: 1
rlim: 1210000
alim: 1210000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1210000/1210000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [605000, 1055001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 154068 x 154295
Total sieving time: 2.02 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,134.000,5,0,0,0,0,0,0,0,0,1210000,1210000,26,26,47,47,2.3,2.3,75000
total time: 2.13 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 6, 2014 19:21:51 UTC 2014 年 12 月 7 日 (日) 4 時 21 分 51 秒 (日本時間)

163×10134-19

c118

name 名前Ignacio Santos
date 日付December 9, 2014 17:21:45 UTC 2014 年 12 月 10 日 (水) 2 時 21 分 45 秒 (日本時間)
composite number 合成数
2667255597300897438482610660877249880442061239570695937566569331314807113617134488846939812590906291815348038567551831<118>
prime factors 素因数
18035907699710697738821491180593462430968281<44>
composite cofactor 合成数の残り
147885853138607553984761338165831394674650706484010370335954998128129509551<75>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1036670865
Step 1 took 18937ms
Step 2 took 13375ms
********** Factor found in step 2: 18035907699710697738821491180593462430968281
Found probable prime factor of 44 digits: 18035907699710697738821491180593462430968281
Composite cofactor 147885853138607553984761338165831394674650706484010370335954998128129509551 has 75 digits
software ソフトウェア
GMP-ECM 7.0

c75

name 名前Serge Batalov
date 日付December 10, 2014 18:56:44 UTC 2014 年 12 月 11 日 (木) 3 時 56 分 44 秒 (日本時間)
composite number 合成数
147885853138607553984761338165831394674650706484010370335954998128129509551<75>
prime factors 素因数
7165475913265708579260209272104841<34>
20638664469560360347655570188264135944311<41>
factorization results 素因数分解の結果
PRP41 = 20638664469560360347655570188264135944311
PRP34 = 7165475913265708579260209272104841
software ソフトウェア
yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

163×10138-19

c130

name 名前Dmitry Domanov
date 日付December 12, 2014 13:06:03 UTC 2014 年 12 月 12 日 (金) 22 時 6 分 3 秒 (日本時間)
composite number 合成数
1227090826044630882433391117568056111846548010424008799239939165441371289053229522600656884669544220234444558599198358461063252091<130>
prime factors 素因数
46111553165253663846731021987935217807406040671223<50>
26611353160172403492799678012889014366293695802883485210801581697354422181353117<80>
factorization results 素因数分解の結果
N=1227090826044630882433391117568056111846548010424008799239939165441371289053229522600656884669544220234444558599198358461063252091
  ( 130 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=46111553165253663846731021987935217807406040671223 (pp50)
 r2=26611353160172403492799678012889014366293695802883485210801581697354422181353117 (pp80)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 4.76 hours.
Scaled time: 9.92 units (timescale=2.084).
Factorization parameters were as follows:
n: 1227090826044630882433391117568056111846548010424008799239939165441371289053229522600656884669544220234444558599198358461063252091
m: 1000000000000000000000000000
deg: 5
c5: 163000
c0: -1
skew: 0.09
# Murphy_E = 2.366e-09
type: snfs
lss: 1
rlim: 1520000
alim: 1520000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1520000/1520000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [760000, 1810001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 278148 x 278396
Total sieving time: 4.59 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,140.000,5,0,0,0,0,0,0,0,0,1520000,1520000,26,26,48,48,2.3,2.3,75000
total time: 4.76 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 10, 2014 09:10:52 UTC 2014 年 12 月 10 日 (水) 18 時 10 分 52 秒 (日本時間)
403e6110 / 2126Ignacio SantosDecember 10, 2014 09:10:52 UTC 2014 年 12 月 10 日 (水) 18 時 10 分 52 秒 (日本時間)
4511e632 / 4437Ignacio SantosDecember 10, 2014 09:10:52 UTC 2014 年 12 月 10 日 (水) 18 時 10 分 52 秒 (日本時間)

163×10143-19

c144

name 名前Serge Batalov
date 日付December 8, 2014 22:54:38 UTC 2014 年 12 月 9 日 (火) 7 時 54 分 38 秒 (日本時間)
composite number 合成数
106535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183<144>
prime factors 素因数
79353126620273629464497858464951594612099635282971<50>
1342555136134986712520229431091407060625055945896291673119200548157230689384782632047756256373<94>
factorization results 素因数分解の結果
prp50 factor: 79353126620273629464497858464951594612099635282971
prp94 factor: 1342555136134986712520229431091407060625055945896291673119200548157230689384782632047756256373
software ソフトウェア
Msieve v. 1.52

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 8, 2014 19:27:18 UTC 2014 年 12 月 9 日 (火) 4 時 27 分 18 秒 (日本時間)

163×10144-19

c126

name 名前Cyp
date 日付December 14, 2014 11:47:32 UTC 2014 年 12 月 14 日 (日) 20 時 47 分 32 秒 (日本時間)
composite number 合成数
196802687347585526291238369014612156409982295136000844884906718125435445455695411466076219522910898643256823574455257713930939<126>
prime factors 素因数
9891953854067577145003048860661699<34>
19895229016526411255852558746049099400676549955005183452566973492988722643656035381707022761<92>
factorization results 素因数分解の結果
12/14/14 11:48:40 v1.34.3, 
12/14/14 11:48:40 v1.34.3, ****************************
12/14/14 11:48:40 v1.34.3, Starting factorization of 196802687347585526291238369014612156409982295136000844884906718125435445455695411466076219522910898643256823574455257713930939
12/14/14 11:48:40 v1.34.3, using pretesting plan: none
12/14/14 11:48:40 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/14/14 11:48:40 v1.34.3, ****************************
12/14/14 11:48:40 v1.34.3, nfs: commencing nfs on c126: 196802687347585526291238369014612156409982295136000844884906718125435445455695411466076219522910898643256823574455257713930939
12/14/14 11:48:40 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/14/14 11:48:40 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/14/14 11:49:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
[65 lines snipped]
12/14/14 12:42:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/14/14 12:42:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/14/14 12:43:44 v1.34.3, nfs: commencing msieve filtering
12/14/14 12:44:31 v1.34.3, nfs: commencing msieve linear algebra
12/14/14 12:47:06 v1.34.3, nfs: commencing msieve sqrt
12/14/14 12:47:31 v1.34.3, prp92 = 19895229016526411255852558746049099400676549955005183452566973492988722643656035381707022761
12/14/14 12:47:31 v1.34.3, prp34 = 9891953854067577145003048860661699
12/14/14 12:47:31 v1.34.3, NFS elapsed time = 3531.7879 seconds.
12/14/14 12:47:31 v1.34.3, 
12/14/14 12:47:31 v1.34.3, 
12/14/14 12:47:31 v1.34.3, Total factoring time = 3531.7885 seconds
--
Sun Dec 14 12:43:44 2014  
Sun Dec 14 12:43:44 2014  commencing relation filtering
Sun Dec 14 12:43:44 2014  estimated available RAM is 15987.3 MB
Sun Dec 14 12:43:44 2014  commencing duplicate removal, pass 1
Sun Dec 14 12:43:55 2014  found 661492 hash collisions in 4500890 relations
Sun Dec 14 12:43:59 2014  added 183135 free relations
Sun Dec 14 12:43:59 2014  commencing duplicate removal, pass 2
Sun Dec 14 12:44:03 2014  found 510698 duplicates and 4173327 unique relations
Sun Dec 14 12:44:03 2014  memory use: 20.6 MB
Sun Dec 14 12:44:03 2014  reading ideals above 100000
Sun Dec 14 12:44:03 2014  commencing singleton removal, initial pass
Sun Dec 14 12:44:20 2014  memory use: 94.1 MB
Sun Dec 14 12:44:20 2014  reading all ideals from disk
Sun Dec 14 12:44:20 2014  memory use: 135.6 MB
Sun Dec 14 12:44:20 2014  keeping 4719914 ideals with weight <= 200, target excess is 21654
Sun Dec 14 12:44:20 2014  commencing in-memory singleton removal
Sun Dec 14 12:44:20 2014  begin with 4173327 relations and 4719914 unique ideals
Sun Dec 14 12:44:21 2014  reduce to 1600608 relations and 1480367 ideals in 14 passes
Sun Dec 14 12:44:21 2014  max relations containing the same ideal: 111
Sun Dec 14 12:44:21 2014  removing 277852 relations and 230291 ideals in 47561 cliques
Sun Dec 14 12:44:21 2014  commencing in-memory singleton removal
Sun Dec 14 12:44:21 2014  begin with 1322756 relations and 1480367 unique ideals
Sun Dec 14 12:44:22 2014  reduce to 1284672 relations and 1210551 ideals in 8 passes
Sun Dec 14 12:44:22 2014  max relations containing the same ideal: 102
Sun Dec 14 12:44:22 2014  removing 217237 relations and 169676 ideals in 47561 cliques
Sun Dec 14 12:44:22 2014  commencing in-memory singleton removal
Sun Dec 14 12:44:22 2014  begin with 1067435 relations and 1210551 unique ideals
Sun Dec 14 12:44:22 2014  reduce to 1039929 relations and 1012393 ideals in 8 passes
Sun Dec 14 12:44:22 2014  max relations containing the same ideal: 90
Sun Dec 14 12:44:22 2014  relations with 0 large ideals: 507
Sun Dec 14 12:44:22 2014  relations with 1 large ideals: 127
Sun Dec 14 12:44:22 2014  relations with 2 large ideals: 2118
Sun Dec 14 12:44:22 2014  relations with 3 large ideals: 17968
Sun Dec 14 12:44:22 2014  relations with 4 large ideals: 79233
Sun Dec 14 12:44:22 2014  relations with 5 large ideals: 200937
Sun Dec 14 12:44:22 2014  relations with 6 large ideals: 308641
Sun Dec 14 12:44:22 2014  relations with 7+ large ideals: 430398
Sun Dec 14 12:44:22 2014  commencing 2-way merge
Sun Dec 14 12:44:23 2014  reduce to 633060 relation sets and 605524 unique ideals
Sun Dec 14 12:44:23 2014  commencing full merge
Sun Dec 14 12:44:29 2014  memory use: 79.8 MB
Sun Dec 14 12:44:29 2014  found 318845 cycles, need 313724
Sun Dec 14 12:44:29 2014  weight of 313724 cycles is about 22022743 (70.20/cycle)
Sun Dec 14 12:44:29 2014  distribution of cycle lengths:
Sun Dec 14 12:44:29 2014  1 relations: 30820
Sun Dec 14 12:44:29 2014  2 relations: 32778
Sun Dec 14 12:44:29 2014  3 relations: 33175
Sun Dec 14 12:44:29 2014  4 relations: 30929
Sun Dec 14 12:44:29 2014  5 relations: 28962
Sun Dec 14 12:44:29 2014  6 relations: 26038
Sun Dec 14 12:44:29 2014  7 relations: 23753
Sun Dec 14 12:44:29 2014  8 relations: 20481
Sun Dec 14 12:44:29 2014  9 relations: 17580
Sun Dec 14 12:44:29 2014  10+ relations: 69208
Sun Dec 14 12:44:29 2014  heaviest cycle: 22 relations
Sun Dec 14 12:44:29 2014  commencing cycle optimization
Sun Dec 14 12:44:29 2014  start with 1995348 relations
Sun Dec 14 12:44:31 2014  pruned 56567 relations
Sun Dec 14 12:44:31 2014  memory use: 62.5 MB
Sun Dec 14 12:44:31 2014  distribution of cycle lengths:
Sun Dec 14 12:44:31 2014  1 relations: 30820
Sun Dec 14 12:44:31 2014  2 relations: 33434
Sun Dec 14 12:44:31 2014  3 relations: 34264
Sun Dec 14 12:44:31 2014  4 relations: 31830
Sun Dec 14 12:44:31 2014  5 relations: 29930
Sun Dec 14 12:44:31 2014  6 relations: 26727
Sun Dec 14 12:44:31 2014  7 relations: 24080
Sun Dec 14 12:44:31 2014  8 relations: 20785
Sun Dec 14 12:44:31 2014  9 relations: 17790
Sun Dec 14 12:44:31 2014  10+ relations: 64064
Sun Dec 14 12:44:31 2014  heaviest cycle: 22 relations
Sun Dec 14 12:44:31 2014  RelProcTime: 47
Sun Dec 14 12:44:31 2014  
Sun Dec 14 12:44:31 2014  commencing linear algebra
Sun Dec 14 12:44:31 2014  read 313724 cycles
Sun Dec 14 12:44:32 2014  cycles contain 1007088 unique relations
Sun Dec 14 12:44:36 2014  read 1007088 relations
Sun Dec 14 12:44:37 2014  using 20 quadratic characters above 67105764
Sun Dec 14 12:44:40 2014  building initial matrix
Sun Dec 14 12:44:45 2014  memory use: 118.3 MB
Sun Dec 14 12:44:45 2014  read 313724 cycles
Sun Dec 14 12:44:45 2014  matrix is 313547 x 313724 (93.2 MB) with weight 27578361 (87.91/col)
Sun Dec 14 12:44:45 2014  sparse part has weight 20993757 (66.92/col)
Sun Dec 14 12:44:46 2014  filtering completed in 2 passes
Sun Dec 14 12:44:46 2014  matrix is 313377 x 313554 (93.2 MB) with weight 27572254 (87.93/col)
Sun Dec 14 12:44:46 2014  sparse part has weight 20991303 (66.95/col)
Sun Dec 14 12:44:46 2014  matrix starts at (0, 0)
Sun Dec 14 12:44:46 2014  matrix is 313377 x 313554 (93.2 MB) with weight 27572254 (87.93/col)
Sun Dec 14 12:44:46 2014  sparse part has weight 20991303 (66.95/col)
Sun Dec 14 12:44:46 2014  saving the first 48 matrix rows for later
Sun Dec 14 12:44:46 2014  matrix includes 64 packed rows
Sun Dec 14 12:44:46 2014  matrix is 313329 x 313554 (87.5 MB) with weight 21791680 (69.50/col)
Sun Dec 14 12:44:46 2014  sparse part has weight 19803551 (63.16/col)
Sun Dec 14 12:44:46 2014  using block size 65536 for processor cache size 8192 kB
Sun Dec 14 12:44:47 2014  commencing Lanczos iteration (8 threads)
Sun Dec 14 12:44:47 2014  memory use: 83.9 MB
Sun Dec 14 12:44:53 2014  linear algebra at 3.9%, ETA 0h 2m
Sun Dec 14 12:47:06 2014  lanczos halted after 4957 iterations (dim = 313327)
Sun Dec 14 12:47:06 2014  recovered 38 nontrivial dependencies
Sun Dec 14 12:47:06 2014  BLanczosTime: 155
Sun Dec 14 12:47:06 2014  
Sun Dec 14 12:47:06 2014  commencing square root phase
Sun Dec 14 12:47:06 2014  reading relations for dependency 1
Sun Dec 14 12:47:06 2014  read 156844 cycles
Sun Dec 14 12:47:07 2014  cycles contain 503244 unique relations
Sun Dec 14 12:47:10 2014  read 503244 relations
Sun Dec 14 12:47:11 2014  multiplying 503244 relations
Sun Dec 14 12:47:20 2014  multiply complete, coefficients have about 15.38 million bits
Sun Dec 14 12:47:20 2014  initial square root is modulo 690452291
Sun Dec 14 12:47:31 2014  sqrtTime: 25
--
n: 196802687347585526291238369014612156409982295136000844884906718125435445455695411466076219522910898643256823574455257713930939
m: 50000000000000000000000000000
deg: 5
c5: 2608
c0: -5
skew: 0.29
# Murphy_E = 1.664e-09
type: snfs
lss: 1
rlim: 1970000
alim: 1970000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:49:06 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 6 秒 (日本時間)

163×10146-19

c142

name 名前Serge Batalov
date 日付December 11, 2014 01:35:30 UTC 2014 年 12 月 11 日 (木) 10 時 35 分 30 秒 (日本時間)
composite number 合成数
1073113034419343474712354684530114415575070412344671002965017897616194605559528707189126560383708353421285150953098837726414506170827876421883<142>
prime factors 素因数
91054942463585049923289030329509<32>
composite cofactor 合成数の残り
11785335374282465490592632637156599284612605412101905218418465672698810430023915891292820452412906974133939487<110>
factorization results 素因数分解の結果
Input number is 1073113034419343474712354684530114415575070412344671002965017897616194605559528707189126560383708353421285150953098837726414506170827876421883 (142 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1511832029
Step 1 took 9532ms
Step 2 took 7420ms
********** Factor found in step 2: 91054942463585049923289030329509
Found probable prime factor of 32 digits: 91054942463585049923289030329509
Composite cofactor 11785335374282465490592632637156599284612605412101905218418465672698810430023915891292820452412906974133939487 has 110 digits

c110

name 名前Dmitry Domanov
date 日付December 15, 2014 10:14:32 UTC 2014 年 12 月 15 日 (月) 19 時 14 分 32 秒 (日本時間)
composite number 合成数
11785335374282465490592632637156599284612605412101905218418465672698810430023915891292820452412906974133939487<110>
prime factors 素因数
1632810159626774911060418447008570708107226014387106651<55>
7217823397777202874691949431377089331387514817971383437<55>
factorization results 素因数分解の結果
N=11785335374282465490592632637156599284612605412101905218418465672698810430023915891292820452412906974133939487
  ( 110 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=1632810159626774911060418447008570708107226014387106651 (pp55)
 r2=7217823397777202874691949431377089331387514817971383437 (pp55)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 9.16 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 11785335374282465490592632637156599284612605412101905218418465672698810430023915891292820452412906974133939487
m: 100000000000000000000000000000
deg: 5
c5: 1630
c0: -1
skew: 0.23
# Murphy_E = 1.469e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 358947 x 359172
Total sieving time: 8.96 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,148.000,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 9.16 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:06 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 6 秒 (日本時間)
4511e61026 / 4409Pierre JammesDecember 14, 2014 09:47:38 UTC 2014 年 12 月 14 日 (日) 18 時 47 分 38 秒 (日本時間)

163×10154-19

c153

name 名前Serge Batalov
date 日付December 8, 2014 19:30:16 UTC 2014 年 12 月 9 日 (火) 4 時 30 分 16 秒 (日本時間)
composite number 合成数
386164416015162283819000236910684671878701729447998104714522624970386164416015162283819000236910684671878701729447998104714522624970386164416015162283819<153>
prime factors 素因数
952753731947913259409167416693199<33>
composite cofactor 合成数の残り
405313989403794608744614346070697376887194010510436758127501487924683069253400441334174962224870365200121214410887825381<120>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1466563458
Step 1 took 9314ms
Step 2 took 7756ms
********** Factor found in step 2: 952753731947913259409167416693199
Found probable prime factor of 33 digits: 952753731947913259409167416693199
Composite cofactor

c120

name 名前Cyp
date 日付December 19, 2014 19:13:17 UTC 2014 年 12 月 20 日 (土) 4 時 13 分 17 秒 (日本時間)
composite number 合成数
405313989403794608744614346070697376887194010510436758127501487924683069253400441334174962224870365200121214410887825381<120>
prime factors 素因数
431443760180990665681709671118786688209117<42>
939436438329216726661558429707464117793337330074751052582220617478514148007593<78>
factorization results 素因数分解の結果
12/19/14 17:37:29 v1.34.3, 
12/19/14 17:37:29 v1.34.3, ****************************
12/19/14 17:37:29 v1.34.3, Starting factorization of 405313989403794608744614346070697376887194010510436758127501487924683069253400441334174962224870365200121214410887825381
12/19/14 17:37:29 v1.34.3, using pretesting plan: none
12/19/14 17:37:29 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/19/14 17:37:29 v1.34.3, ****************************
12/19/14 17:37:29 v1.34.3, nfs: commencing nfs on c120: 405313989403794608744614346070697376887194010510436758127501487924683069253400441334174962224870365200121214410887825381
12/19/14 17:37:29 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/19/14 17:37:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/19/14 17:38:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
[150 lines snipped]
12/19/14 20:03:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/19/14 20:04:38 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/19/14 20:05:34 v1.34.3, nfs: commencing msieve filtering
12/19/14 20:07:18 v1.34.3, nfs: commencing msieve linear algebra
12/19/14 20:12:36 v1.34.3, nfs: commencing msieve sqrt
12/19/14 20:13:16 v1.34.3, prp78 = 939436438329216726661558429707464117793337330074751052582220617478514148007593
12/19/14 20:13:16 v1.34.3, prp42 = 431443760180990665681709671118786688209117
12/19/14 20:13:16 v1.34.3, NFS elapsed time = 9346.6980 seconds.
12/19/14 20:13:16 v1.34.3, 
12/19/14 20:13:16 v1.34.3, 
12/19/14 20:13:16 v1.34.3, Total factoring time = 9346.6986 seconds
--
Fri Dec 19 20:05:34 2014  
Fri Dec 19 20:05:34 2014  commencing relation filtering
Fri Dec 19 20:05:34 2014  estimated available RAM is 15987.3 MB
Fri Dec 19 20:05:34 2014  commencing duplicate removal, pass 1
Fri Dec 19 20:06:02 2014  found 1686829 hash collisions in 10080878 relations
Fri Dec 19 20:06:10 2014  added 355121 free relations
Fri Dec 19 20:06:10 2014  commencing duplicate removal, pass 2
Fri Dec 19 20:06:18 2014  found 1369567 duplicates and 9066432 unique relations
Fri Dec 19 20:06:18 2014  memory use: 41.3 MB
Fri Dec 19 20:06:18 2014  reading ideals above 100000
Fri Dec 19 20:06:18 2014  commencing singleton removal, initial pass
Fri Dec 19 20:06:58 2014  memory use: 188.2 MB
Fri Dec 19 20:06:58 2014  reading all ideals from disk
Fri Dec 19 20:06:58 2014  memory use: 307.9 MB
Fri Dec 19 20:06:58 2014  keeping 9534665 ideals with weight <= 200, target excess is 46184
Fri Dec 19 20:06:58 2014  commencing in-memory singleton removal
Fri Dec 19 20:06:59 2014  begin with 9066432 relations and 9534665 unique ideals
Fri Dec 19 20:07:02 2014  reduce to 4119726 relations and 3420808 ideals in 15 passes
Fri Dec 19 20:07:02 2014  max relations containing the same ideal: 122
Fri Dec 19 20:07:03 2014  removing 1144848 relations and 822176 ideals in 322672 cliques
Fri Dec 19 20:07:03 2014  commencing in-memory singleton removal
Fri Dec 19 20:07:03 2014  begin with 2974878 relations and 3420808 unique ideals
Fri Dec 19 20:07:04 2014  reduce to 2750959 relations and 2352628 ideals in 10 passes
Fri Dec 19 20:07:04 2014  max relations containing the same ideal: 93
Fri Dec 19 20:07:05 2014  removing 954405 relations and 631733 ideals in 322672 cliques
Fri Dec 19 20:07:05 2014  commencing in-memory singleton removal
Fri Dec 19 20:07:05 2014  begin with 1796554 relations and 2352628 unique ideals
Fri Dec 19 20:07:05 2014  reduce to 1603398 relations and 1504249 ideals in 8 passes
Fri Dec 19 20:07:05 2014  max relations containing the same ideal: 61
Fri Dec 19 20:07:06 2014  removing 198864 relations and 153289 ideals in 45575 cliques
Fri Dec 19 20:07:06 2014  commencing in-memory singleton removal
Fri Dec 19 20:07:06 2014  begin with 1404534 relations and 1504249 unique ideals
Fri Dec 19 20:07:06 2014  reduce to 1387284 relations and 1333204 ideals in 7 passes
Fri Dec 19 20:07:06 2014  max relations containing the same ideal: 55
Fri Dec 19 20:07:07 2014  relations with 0 large ideals: 1091
Fri Dec 19 20:07:07 2014  relations with 1 large ideals: 669
Fri Dec 19 20:07:07 2014  relations with 2 large ideals: 9834
Fri Dec 19 20:07:07 2014  relations with 3 large ideals: 62458
Fri Dec 19 20:07:07 2014  relations with 4 large ideals: 202587
Fri Dec 19 20:07:07 2014  relations with 5 large ideals: 364410
Fri Dec 19 20:07:07 2014  relations with 6 large ideals: 400094
Fri Dec 19 20:07:07 2014  relations with 7+ large ideals: 346141
Fri Dec 19 20:07:07 2014  commencing 2-way merge
Fri Dec 19 20:07:07 2014  reduce to 874510 relation sets and 820430 unique ideals
Fri Dec 19 20:07:07 2014  commencing full merge
Fri Dec 19 20:07:15 2014  memory use: 105.1 MB
Fri Dec 19 20:07:15 2014  found 454121 cycles, need 446630
Fri Dec 19 20:07:15 2014  weight of 446630 cycles is about 31450533 (70.42/cycle)
Fri Dec 19 20:07:15 2014  distribution of cycle lengths:
Fri Dec 19 20:07:15 2014  1 relations: 31834
Fri Dec 19 20:07:15 2014  2 relations: 43402
Fri Dec 19 20:07:15 2014  3 relations: 48167
Fri Dec 19 20:07:15 2014  4 relations: 48157
Fri Dec 19 20:07:15 2014  5 relations: 46690
Fri Dec 19 20:07:15 2014  6 relations: 43233
Fri Dec 19 20:07:15 2014  7 relations: 38639
Fri Dec 19 20:07:15 2014  8 relations: 33025
Fri Dec 19 20:07:15 2014  9 relations: 28061
Fri Dec 19 20:07:15 2014  10+ relations: 85422
Fri Dec 19 20:07:15 2014  heaviest cycle: 20 relations
Fri Dec 19 20:07:15 2014  commencing cycle optimization
Fri Dec 19 20:07:15 2014  start with 2773231 relations
Fri Dec 19 20:07:18 2014  pruned 83218 relations
Fri Dec 19 20:07:18 2014  memory use: 85.8 MB
Fri Dec 19 20:07:18 2014  distribution of cycle lengths:
Fri Dec 19 20:07:18 2014  1 relations: 31834
Fri Dec 19 20:07:18 2014  2 relations: 44246
Fri Dec 19 20:07:18 2014  3 relations: 50083
Fri Dec 19 20:07:18 2014  4 relations: 49660
Fri Dec 19 20:07:18 2014  5 relations: 48328
Fri Dec 19 20:07:18 2014  6 relations: 44650
Fri Dec 19 20:07:18 2014  7 relations: 39580
Fri Dec 19 20:07:18 2014  8 relations: 33663
Fri Dec 19 20:07:18 2014  9 relations: 27945
Fri Dec 19 20:07:18 2014  10+ relations: 76641
Fri Dec 19 20:07:18 2014  heaviest cycle: 20 relations
Fri Dec 19 20:07:18 2014  RelProcTime: 104
Fri Dec 19 20:07:18 2014  
Fri Dec 19 20:07:18 2014  commencing linear algebra
Fri Dec 19 20:07:18 2014  read 446630 cycles
Fri Dec 19 20:07:19 2014  cycles contain 1353444 unique relations
Fri Dec 19 20:07:28 2014  read 1353444 relations
Fri Dec 19 20:07:29 2014  using 20 quadratic characters above 134200290
Fri Dec 19 20:07:33 2014  building initial matrix
Fri Dec 19 20:07:40 2014  memory use: 166.4 MB
Fri Dec 19 20:07:40 2014  read 446630 cycles
Fri Dec 19 20:07:40 2014  matrix is 446453 x 446630 (133.3 MB) with weight 39561821 (88.58/col)
Fri Dec 19 20:07:40 2014  sparse part has weight 30037023 (67.25/col)
Fri Dec 19 20:07:42 2014  filtering completed in 2 passes
Fri Dec 19 20:07:42 2014  matrix is 446382 x 446559 (133.3 MB) with weight 39558734 (88.59/col)
Fri Dec 19 20:07:42 2014  sparse part has weight 30035638 (67.26/col)
Fri Dec 19 20:07:42 2014  matrix starts at (0, 0)
Fri Dec 19 20:07:43 2014  matrix is 446382 x 446559 (133.3 MB) with weight 39558734 (88.59/col)
Fri Dec 19 20:07:43 2014  sparse part has weight 30035638 (67.26/col)
Fri Dec 19 20:07:43 2014  saving the first 48 matrix rows for later
Fri Dec 19 20:07:43 2014  matrix includes 64 packed rows
Fri Dec 19 20:07:43 2014  matrix is 446334 x 446559 (125.3 MB) with weight 31260850 (70.00/col)
Fri Dec 19 20:07:43 2014  sparse part has weight 28377980 (63.55/col)
Fri Dec 19 20:07:43 2014  using block size 65536 for processor cache size 8192 kB
Fri Dec 19 20:07:44 2014  commencing Lanczos iteration (8 threads)
Fri Dec 19 20:07:44 2014  memory use: 120.7 MB
Fri Dec 19 20:07:52 2014  linear algebra at 2.7%, ETA 0h 4m
Fri Dec 19 20:12:36 2014  lanczos halted after 7061 iterations (dim = 446334)
Fri Dec 19 20:12:36 2014  recovered 39 nontrivial dependencies
Fri Dec 19 20:12:36 2014  BLanczosTime: 318
Fri Dec 19 20:12:36 2014  
Fri Dec 19 20:12:36 2014  commencing square root phase
Fri Dec 19 20:12:36 2014  reading relations for dependency 1
Fri Dec 19 20:12:36 2014  read 223409 cycles
Fri Dec 19 20:12:36 2014  cycles contain 677122 unique relations
Fri Dec 19 20:12:44 2014  read 677122 relations
Fri Dec 19 20:12:45 2014  multiplying 677122 relations
Fri Dec 19 20:12:59 2014  multiply complete, coefficients have about 20.99 million bits
Fri Dec 19 20:12:59 2014  initial square root is modulo 1069561
Fri Dec 19 20:13:16 2014  sqrtTime: 40
--
n: 405313989403794608744614346070697376887194010510436758127501487924683069253400441334174962224870365200121214410887825381
m: 5000000000000000000000000000000
deg: 5
c5: 2608
c0: -5
skew: 0.29
# Murphy_E = 6.936e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 8, 2014 19:27:24 UTC 2014 年 12 月 9 日 (火) 4 時 27 分 24 秒 (日本時間)

163×10155-19

c141

name 名前Cyp
date 日付December 17, 2014 02:03:15 UTC 2014 年 12 月 17 日 (水) 11 時 3 分 15 秒 (日本時間)
composite number 合成数
869952785812617495097509028106925601684469398277379126599885599778393269752696014605132785827773206648782207302061631220986350833671108624331<141>
prime factors 素因数
69084986625826471452939793187770269444206675682601<50>
12592501327739963968315026148314123796594369304579261844619424220354895933339607195552843731<92>
factorization results 素因数分解の結果
12/17/14 00:55:29 v1.34.3, 
12/17/14 00:55:29 v1.34.3, ****************************
12/17/14 00:55:29 v1.34.3, Starting factorization of 869952785812617495097509028106925601684469398277379126599885599778393269752696014605132785827773206648782207302061631220986350833671108624331
12/17/14 00:55:29 v1.34.3, using pretesting plan: none
12/17/14 00:55:29 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/17/14 00:55:29 v1.34.3, ****************************
12/17/14 00:55:29 v1.34.3, nfs: commencing nfs on c141: 869952785812617495097509028106925601684469398277379126599885599778393269752696014605132785827773206648782207302061631220986350833671108624331
12/17/14 00:55:29 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/17/14 00:55:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/17/14 00:59:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
[29 lines snipped]
12/17/14 02:48:13 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/17/14 02:51:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/17/14 02:55:36 v1.34.3, nfs: commencing msieve filtering
12/17/14 02:57:19 v1.34.3, nfs: commencing msieve linear algebra
12/17/14 03:00:25 v1.34.3, nfs: commencing msieve sqrt
12/17/14 03:03:13 v1.34.3, prp92 = 12592501327739963968315026148314123796594369304579261844619424220354895933339607195552843731
12/17/14 03:03:13 v1.34.3, prp50 = 69084986625826471452939793187770269444206675682601
12/17/14 03:03:13 v1.34.3, NFS elapsed time = 7664.0418 seconds.
12/17/14 03:03:13 v1.34.3, 
12/17/14 03:03:13 v1.34.3, 
12/17/14 03:03:13 v1.34.3, Total factoring time = 7664.0425 seconds
--
Wed Dec 17 02:55:36 2014  
Wed Dec 17 02:55:36 2014  commencing relation filtering
Wed Dec 17 02:55:36 2014  estimated available RAM is 15987.3 MB
Wed Dec 17 02:55:36 2014  commencing duplicate removal, pass 1
Wed Dec 17 02:56:03 2014  found 1202812 hash collisions in 10189346 relations
Wed Dec 17 02:56:11 2014  added 359797 free relations
Wed Dec 17 02:56:11 2014  commencing duplicate removal, pass 2
Wed Dec 17 02:56:19 2014  found 683148 duplicates and 9865995 unique relations
Wed Dec 17 02:56:19 2014  memory use: 41.3 MB
Wed Dec 17 02:56:19 2014  reading ideals above 100000
Wed Dec 17 02:56:19 2014  commencing singleton removal, initial pass
Wed Dec 17 02:57:01 2014  memory use: 188.2 MB
Wed Dec 17 02:57:01 2014  reading all ideals from disk
Wed Dec 17 02:57:01 2014  memory use: 337.6 MB
Wed Dec 17 02:57:01 2014  keeping 9806089 ideals with weight <= 200, target excess is 52446
Wed Dec 17 02:57:02 2014  commencing in-memory singleton removal
Wed Dec 17 02:57:02 2014  begin with 9865995 relations and 9806089 unique ideals
Wed Dec 17 02:57:05 2014  reduce to 4974103 relations and 3832876 ideals in 11 passes
Wed Dec 17 02:57:05 2014  max relations containing the same ideal: 131
Wed Dec 17 02:57:06 2014  removing 1278001 relations and 878001 ideals in 400000 cliques
Wed Dec 17 02:57:06 2014  commencing in-memory singleton removal
Wed Dec 17 02:57:06 2014  begin with 3696102 relations and 3832876 unique ideals
Wed Dec 17 02:57:07 2014  reduce to 3485473 relations and 2723994 ideals in 7 passes
Wed Dec 17 02:57:07 2014  max relations containing the same ideal: 104
Wed Dec 17 02:57:08 2014  removing 1082845 relations and 682845 ideals in 400000 cliques
Wed Dec 17 02:57:08 2014  commencing in-memory singleton removal
Wed Dec 17 02:57:08 2014  begin with 2402628 relations and 2723994 unique ideals
Wed Dec 17 02:57:09 2014  reduce to 2227370 relations and 1847002 ideals in 8 passes
Wed Dec 17 02:57:09 2014  max relations containing the same ideal: 72
Wed Dec 17 02:57:09 2014  removing 847745 relations and 528215 ideals in 319530 cliques
Wed Dec 17 02:57:10 2014  commencing in-memory singleton removal
Wed Dec 17 02:57:10 2014  begin with 1379625 relations and 1847002 unique ideals
Wed Dec 17 02:57:10 2014  reduce to 1207559 relations and 1124312 ideals in 10 passes
Wed Dec 17 02:57:10 2014  max relations containing the same ideal: 50
Wed Dec 17 02:57:10 2014  removing 109947 relations and 87538 ideals in 22409 cliques
Wed Dec 17 02:57:10 2014  commencing in-memory singleton removal
Wed Dec 17 02:57:10 2014  begin with 1097612 relations and 1124312 unique ideals
Wed Dec 17 02:57:10 2014  reduce to 1087879 relations and 1026834 ideals in 7 passes
Wed Dec 17 02:57:10 2014  max relations containing the same ideal: 46
Wed Dec 17 02:57:11 2014  relations with 0 large ideals: 1201
Wed Dec 17 02:57:11 2014  relations with 1 large ideals: 913
Wed Dec 17 02:57:11 2014  relations with 2 large ideals: 12075
Wed Dec 17 02:57:11 2014  relations with 3 large ideals: 68046
Wed Dec 17 02:57:11 2014  relations with 4 large ideals: 192588
Wed Dec 17 02:57:11 2014  relations with 5 large ideals: 303138
Wed Dec 17 02:57:11 2014  relations with 6 large ideals: 292460
Wed Dec 17 02:57:11 2014  relations with 7+ large ideals: 217458
Wed Dec 17 02:57:11 2014  commencing 2-way merge
Wed Dec 17 02:57:11 2014  reduce to 685451 relation sets and 624406 unique ideals
Wed Dec 17 02:57:11 2014  commencing full merge
Wed Dec 17 02:57:17 2014  memory use: 77.7 MB
Wed Dec 17 02:57:17 2014  found 348793 cycles, need 340606
Wed Dec 17 02:57:17 2014  weight of 340606 cycles is about 23954658 (70.33/cycle)
Wed Dec 17 02:57:17 2014  distribution of cycle lengths:
Wed Dec 17 02:57:17 2014  1 relations: 30628
Wed Dec 17 02:57:17 2014  2 relations: 33027
Wed Dec 17 02:57:17 2014  3 relations: 36655
Wed Dec 17 02:57:17 2014  4 relations: 37330
Wed Dec 17 02:57:17 2014  5 relations: 35865
Wed Dec 17 02:57:17 2014  6 relations: 32809
Wed Dec 17 02:57:17 2014  7 relations: 28580
Wed Dec 17 02:57:17 2014  8 relations: 24060
Wed Dec 17 02:57:17 2014  9 relations: 19657
Wed Dec 17 02:57:17 2014  10+ relations: 61995
Wed Dec 17 02:57:17 2014  heaviest cycle: 20 relations
Wed Dec 17 02:57:17 2014  commencing cycle optimization
Wed Dec 17 02:57:17 2014  start with 2054758 relations
Wed Dec 17 02:57:19 2014  pruned 65105 relations
Wed Dec 17 02:57:19 2014  memory use: 65.1 MB
Wed Dec 17 02:57:19 2014  distribution of cycle lengths:
Wed Dec 17 02:57:19 2014  1 relations: 30628
Wed Dec 17 02:57:19 2014  2 relations: 33763
Wed Dec 17 02:57:19 2014  3 relations: 38091
Wed Dec 17 02:57:19 2014  4 relations: 38641
Wed Dec 17 02:57:19 2014  5 relations: 37454
Wed Dec 17 02:57:19 2014  6 relations: 33694
Wed Dec 17 02:57:19 2014  7 relations: 29438
Wed Dec 17 02:57:19 2014  8 relations: 24276
Wed Dec 17 02:57:19 2014  9 relations: 19568
Wed Dec 17 02:57:19 2014  10+ relations: 55053
Wed Dec 17 02:57:19 2014  heaviest cycle: 20 relations
Wed Dec 17 02:57:19 2014  RelProcTime: 103
Wed Dec 17 02:57:19 2014  
Wed Dec 17 02:57:19 2014  commencing linear algebra
Wed Dec 17 02:57:19 2014  read 340606 cycles
Wed Dec 17 02:57:19 2014  cycles contain 1050319 unique relations
Wed Dec 17 02:57:28 2014  read 1050319 relations
Wed Dec 17 02:57:28 2014  using 20 quadratic characters above 134214878
Wed Dec 17 02:57:32 2014  building initial matrix
Wed Dec 17 02:57:37 2014  memory use: 132.1 MB
Wed Dec 17 02:57:37 2014  read 340606 cycles
Wed Dec 17 02:57:37 2014  matrix is 340429 x 340606 (101.2 MB) with weight 30317571 (89.01/col)
Wed Dec 17 02:57:37 2014  sparse part has weight 22787039 (66.90/col)
Wed Dec 17 02:57:38 2014  filtering completed in 2 passes
Wed Dec 17 02:57:38 2014  matrix is 340255 x 340432 (101.2 MB) with weight 30311033 (89.04/col)
Wed Dec 17 02:57:38 2014  sparse part has weight 22784369 (66.93/col)
Wed Dec 17 02:57:39 2014  matrix starts at (0, 0)
Wed Dec 17 02:57:39 2014  matrix is 340255 x 340432 (101.2 MB) with weight 30311033 (89.04/col)
Wed Dec 17 02:57:39 2014  sparse part has weight 22784369 (66.93/col)
Wed Dec 17 02:57:39 2014  saving the first 48 matrix rows for later
Wed Dec 17 02:57:39 2014  matrix includes 64 packed rows
Wed Dec 17 02:57:39 2014  matrix is 340207 x 340432 (95.4 MB) with weight 23934007 (70.30/col)
Wed Dec 17 02:57:39 2014  sparse part has weight 21607427 (63.47/col)
Wed Dec 17 02:57:39 2014  using block size 65536 for processor cache size 8192 kB
Wed Dec 17 02:57:40 2014  commencing Lanczos iteration (8 threads)
Wed Dec 17 02:57:40 2014  memory use: 91.6 MB
Wed Dec 17 02:57:45 2014  linear algebra at 3.6%, ETA 0h 2m
Wed Dec 17 03:00:25 2014  lanczos halted after 5382 iterations (dim = 340203)
Wed Dec 17 03:00:25 2014  recovered 34 nontrivial dependencies
Wed Dec 17 03:00:25 2014  BLanczosTime: 186
Wed Dec 17 03:00:25 2014  
Wed Dec 17 03:00:25 2014  commencing square root phase
Wed Dec 17 03:00:25 2014  reading relations for dependency 1
Wed Dec 17 03:00:25 2014  read 170285 cycles
Wed Dec 17 03:00:25 2014  cycles contain 524638 unique relations
Wed Dec 17 03:00:32 2014  read 524638 relations
Wed Dec 17 03:00:33 2014  multiplying 524638 relations
Wed Dec 17 03:00:42 2014  multiply complete, coefficients have about 14.59 million bits
Wed Dec 17 03:00:42 2014  initial square root is modulo 241984241
Wed Dec 17 03:00:53 2014  GCD is N, no factor found
Wed Dec 17 03:00:53 2014  reading relations for dependency 2
Wed Dec 17 03:00:53 2014  read 170213 cycles
Wed Dec 17 03:00:53 2014  cycles contain 524614 unique relations
Wed Dec 17 03:01:01 2014  read 524614 relations
Wed Dec 17 03:01:02 2014  multiplying 524614 relations
Wed Dec 17 03:01:10 2014  multiply complete, coefficients have about 14.59 million bits
Wed Dec 17 03:01:10 2014  initial square root is modulo 241219141
Wed Dec 17 03:01:21 2014  Newton iteration failed to converge
Wed Dec 17 03:01:21 2014  algebraic square root failed
Wed Dec 17 03:01:21 2014  reading relations for dependency 3
Wed Dec 17 03:01:21 2014  read 170209 cycles
Wed Dec 17 03:01:21 2014  cycles contain 525158 unique relations
Wed Dec 17 03:01:29 2014  read 525158 relations
Wed Dec 17 03:01:30 2014  multiplying 525158 relations
Wed Dec 17 03:01:38 2014  multiply complete, coefficients have about 14.61 million bits
Wed Dec 17 03:01:38 2014  initial square root is modulo 246991091
Wed Dec 17 03:01:49 2014  GCD is 1, no factor found
Wed Dec 17 03:01:49 2014  reading relations for dependency 4
Wed Dec 17 03:01:49 2014  read 169746 cycles
Wed Dec 17 03:01:49 2014  cycles contain 523282 unique relations
Wed Dec 17 03:01:57 2014  read 523282 relations
Wed Dec 17 03:01:58 2014  multiplying 523282 relations
Wed Dec 17 03:02:06 2014  multiply complete, coefficients have about 14.55 million bits
Wed Dec 17 03:02:06 2014  initial square root is modulo 230198431
Wed Dec 17 03:02:17 2014  GCD is 1, no factor found
Wed Dec 17 03:02:17 2014  reading relations for dependency 5
Wed Dec 17 03:02:17 2014  read 169476 cycles
Wed Dec 17 03:02:17 2014  cycles contain 523596 unique relations
Wed Dec 17 03:02:25 2014  read 523596 relations
Wed Dec 17 03:02:26 2014  multiplying 523596 relations
Wed Dec 17 03:02:34 2014  multiply complete, coefficients have about 14.56 million bits
Wed Dec 17 03:02:34 2014  initial square root is modulo 232534651
Wed Dec 17 03:02:45 2014  GCD is 1, no factor found
Wed Dec 17 03:02:45 2014  reading relations for dependency 6
Wed Dec 17 03:02:45 2014  read 170249 cycles
Wed Dec 17 03:02:45 2014  cycles contain 525238 unique relations
Wed Dec 17 03:02:53 2014  read 525238 relations
Wed Dec 17 03:02:54 2014  multiplying 525238 relations
Wed Dec 17 03:03:02 2014  multiply complete, coefficients have about 14.61 million bits
Wed Dec 17 03:03:02 2014  initial square root is modulo 246925321
Wed Dec 17 03:03:13 2014  sqrtTime: 168
--
n: 869952785812617495097509028106925601684469398277379126599885599778393269752696014605132785827773206648782207302061631220986350833671108624331
m: 10000000000000000000000000000000
deg: 5
c5: 163
c0: -1
skew: 0.36
# Murphy_E = 9.468e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:49:07 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 7 秒 (日本時間)

163×10160-19

c150

name 名前Serge Batalov
date 日付December 11, 2014 01:35:34 UTC 2014 年 12 月 11 日 (木) 10 時 35 分 34 秒 (日本時間)
composite number 合成数
323107529211720753524294169616381242032427847673730661271131983059854722660974440317242688233365542490483677785891629610141066515022853244036421012477<150>
prime factors 素因数
3087330330976026590407687472989<31>
104655963105047379458433927581569525432724292129296766251744525119536078787708199691513095411608968162664591501132770593<120>
factorization results 素因数分解の結果
Input number is 323107529211720753524294169616381242032427847673730661271131983059854722660974440317242688233365542490483677785891629610141066515022853244036421012477 (150 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1465889623
Step 1 took 9238ms
Step 2 took 7362ms
********** Factor found in step 2: 3087330330976026590407687472989
Found probable prime factor of 31 digits: 3087330330976026590407687472989
Probable prime cofactor 104655963105047379458433927581569525432724292129296766251744525119536078787708199691513095411608968162664591501132770593 has 120 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:49:07 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 7 秒 (日本時間)

163×10161-19

c136

name 名前Serge Batalov
date 日付December 11, 2014 01:35:38 UTC 2014 年 12 月 11 日 (木) 10 時 35 分 38 秒 (日本時間)
composite number 合成数
3492190952690981734041191831371172721198913586491403865749496821922521479273729866211025821122740485671809571037682227167813015180325349<136>
prime factors 素因数
20273599859081879222512820329546339157<38>
composite cofactor 合成数の残り
172253126083407414556986675913989443508505875211733524783833058552231197867842465833615987132466257<99>
factorization results 素因数分解の結果
Input number is 3492190952690981734041191831371172721198913586491403865749496821922521479273729866211025821122740485671809571037682227167813015180325349 (136 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3015210357
Step 1 took 9790ms
Step 2 took 7032ms
********** Factor found in step 2: 20273599859081879222512820329546339157
Found probable prime factor of 38 digits: 20273599859081879222512820329546339157
Composite cofactor 172253126083407414556986675913989443508505875211733524783833058552231197867842465833615987132466257 has 99 digits

c99

name 名前Dmitry Domanov
date 日付December 11, 2014 19:20:57 UTC 2014 年 12 月 12 日 (金) 4 時 20 分 57 秒 (日本時間)
composite number 合成数
172253126083407414556986675913989443508505875211733524783833058552231197867842465833615987132466257<99>
prime factors 素因数
8412237635669593599910179837436792618704409<43>
20476493121523246866077136146207281010558868493395111673<56>
factorization results 素因数分解の結果
N=172253126083407414556986675913989443508505875211733524783833058552231197867842465833615987132466257
  ( 99 digits)
Divisors found:
 r1=8412237635669593599910179837436792618704409 (pp43)
 r2=20476493121523246866077136146207281010558868493395111673 (pp56)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 2.60 hours.
Scaled time: 4.26 units (timescale=1.636).
Factorization parameters were as follows:
n: 172253126083407414556986675913989443508505875211733524783833058552231197867842465833615987132466257
skew: 259742.74
c0: 78458093643766223234601741
c1: 823910352078590723036
c2: -2178985778741293
c3: -24804814720
c4: 38148
Y0: -259224891928148276498474
Y1: 10528942782529
rlim: 1740000
alim: 1740000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 1740000/1740000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [870000, 1170001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 184397 x 184625
Total sieving time: 2.42 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,98,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1740000,1740000,26,26,52,52,2.5,2.5,100000
total time: 2.60 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:49:08 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 8 秒 (日本時間)

163×10162-19

c134

name 名前Serge Batalov
date 日付December 17, 2014 22:23:47 UTC 2014 年 12 月 18 日 (木) 7 時 23 分 47 秒 (日本時間)
composite number 合成数
31734239370777876439447643630508518188551163887696604388254154288358154828160289700634001329301743592990828263171198205672612541682393<134>
prime factors 素因数
3444869760881690345073717701856179941331<40>
9212028777150553177398716720048790196357889243657650772802785730443943875538096897137461146403<94>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=447636302
Step 1 took 7591ms
Step 2 took 6853ms
********** Factor found in step 2: 3444869760881690345073717701856179941331
Found probable prime factor of 40 digits: 3444869760881690345073717701856179941331
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:49:08 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 8 秒 (日本時間)

163×10163-19

c138

name 名前Serge Batalov
date 日付December 11, 2014 01:35:41 UTC 2014 年 12 月 11 日 (木) 10 時 35 分 41 秒 (日本時間)
composite number 合成数
262305835011620973579687997953623866527379736169899675717848360457603183443356282514555299942957606721773727259671243017718500976570430317<138>
prime factors 素因数
304804976344351878362029800233592631<36>
composite cofactor 合成数の残り
860569398037918793374453896660879666742807163912431988474382559163124352209237025940692997125736694907<102>
factorization results 素因数分解の結果
Input number is 262305835011620973579687997953623866527379736169899675717848360457603183443356282514555299942957606721773727259671243017718500976570430317 (138 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=253073635
Step 1 took 9155ms
Step 2 took 7125ms
********** Factor found in step 2: 304804976344351878362029800233592631
Found probable prime factor of 36 digits: 304804976344351878362029800233592631
Composite cofactor 860569398037918793374453896660879666742807163912431988474382559163124352209237025940692997125736694907 has 102 digits

c102

name 名前Cyp
date 日付December 15, 2014 21:34:57 UTC 2014 年 12 月 16 日 (火) 6 時 34 分 57 秒 (日本時間)
composite number 合成数
860569398037918793374453896660879666742807163912431988474382559163124352209237025940692997125736694907<102>
prime factors 素因数
2192614932229408513705162565849442676355599<43>
392485422491813667877394598011987277866517107246929886855893<60>
factorization results 素因数分解の結果
12/11/14 20:01:41 v1.34.3, 
12/11/14 20:01:41 v1.34.3, ****************************
12/11/14 20:01:41 v1.34.3, Starting factorization of 860569398037918793374453896660879666742807163912431988474382559163124352209237025940692997125736694907
12/11/14 20:01:41 v1.34.3, using pretesting plan: none
12/11/14 20:01:41 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/11/14 20:01:41 v1.34.3, ****************************
12/11/14 20:01:41 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C102
12/11/14 20:01:41 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C102
12/11/14 20:01:41 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C102
12/11/14 20:01:41 v1.34.3, final ECM pretested depth: 0.00
12/11/14 20:01:41 v1.34.3, scheduler: switching to sieve method
12/11/14 20:01:41 v1.34.3, nfs: commencing nfs on c102: 860569398037918793374453896660879666742807163912431988474382559163124352209237025940692997125736694907
12/11/14 20:01:41 v1.34.3, nfs: commencing poly selection with 8 threads
12/11/14 20:01:41 v1.34.3, nfs: setting deadline of 188 seconds
12/11/14 20:05:23 v1.34.3, nfs: completed 44 ranges of size 250 in 222.1121 seconds
12/11/14 20:05:23 v1.34.3, nfs: best poly = # norm 5.001068e-14 alpha -4.971988 e 8.153e-09 rroots 2
12/11/14 20:05:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 20:06:38 v1.34.3, nfs: commencing lattice sieving with 8 threads
[18 lines snipped]
12/11/14 20:32:46 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 20:34:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 20:35:41 v1.34.3, nfs: commencing msieve filtering
12/11/14 20:36:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 20:37:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 20:39:19 v1.34.3, nfs: commencing msieve filtering
12/14/14 16:28:21 v1.34.3, 
12/14/14 16:28:21 v1.34.3, ****************************
12/14/14 16:28:21 v1.34.3, Starting factorization of 860569398037918793374453896660879666742807163912431988474382559163124352209237025940692997125736694907
12/14/14 16:28:21 v1.34.3, using pretesting plan: none
12/14/14 16:28:21 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/14/14 16:28:21 v1.34.3, ****************************
12/14/14 16:28:21 v1.34.3, nfs: previous data file found - commencing search for last special-q
12/14/14 16:28:25 v1.34.3, nfs: parsing special-q from .dat file
12/14/14 16:28:25 v1.34.3, nfs: commencing nfs on c102: 860569398037918793374453896660879666742807163912431988474382559163124352209237025940692997125736694907
12/14/14 16:28:25 v1.34.3, nfs: resuming with filtering
12/14/14 16:28:25 v1.34.3, nfs: commencing msieve filtering
12/15/14 21:51:24 v1.34.3, nfs: commencing nfs on c102: 860569398037918793374453896660879666742807163912431988474382559163124352209237025940692997125736694907
12/15/14 21:51:24 v1.34.3, nfs: resuming with sieving at user specified special-q 1519711
12/15/14 21:51:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/15/14 22:26:36 v1.34.3, 
12/15/14 22:26:36 v1.34.3, ****************************
12/15/14 22:26:36 v1.34.3, Starting factorization of 860569398037918793374453896660879666742807163912431988474382559163124352209237025940692997125736694907
12/15/14 22:26:36 v1.34.3, using pretesting plan: none
12/15/14 22:26:36 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/15/14 22:26:36 v1.34.3, ****************************
12/15/14 22:26:36 v1.34.3, nfs: previous data file found - commencing search for last special-q
12/15/14 22:26:43 v1.34.3, nfs: parsing special-q from .dat file
12/15/14 22:26:43 v1.34.3, nfs: commencing nfs on c102: 860569398037918793374453896660879666742807163912431988474382559163124352209237025940692997125736694907
12/15/14 22:26:43 v1.34.3, nfs: resuming with filtering
12/15/14 22:26:43 v1.34.3, nfs: commencing msieve filtering
12/15/14 22:28:30 v1.34.3, nfs: commencing msieve linear algebra
12/15/14 22:33:13 v1.34.3, nfs: commencing msieve sqrt
12/15/14 22:34:56 v1.34.3, prp43 = 2192614932229408513705162565849442676355599
12/15/14 22:34:56 v1.34.3, prp60 = 392485422491813667877394598011987277866517107246929886855893
12/15/14 22:34:56 v1.34.3, NFS elapsed time = 499.5434 seconds.
12/15/14 22:34:56 v1.34.3, 
12/15/14 22:34:56 v1.34.3, 
12/15/14 22:34:56 v1.34.3, Total factoring time = 499.5442 seconds
--
Thu Dec 11 20:35:41 2014  
Thu Dec 11 20:35:41 2014  commencing relation filtering
Thu Dec 11 20:35:41 2014  estimated available RAM is 15987.3 MB
Thu Dec 11 20:35:41 2014  commencing duplicate removal, pass 1
Thu Dec 11 20:35:55 2014  found 461843 hash collisions in 4574251 relations
Thu Dec 11 20:35:58 2014  added 157930 free relations
Thu Dec 11 20:35:58 2014  commencing duplicate removal, pass 2
Thu Dec 11 20:36:02 2014  found 232309 duplicates and 4499872 unique relations
Thu Dec 11 20:36:02 2014  memory use: 20.6 MB
Thu Dec 11 20:36:02 2014  reading ideals above 100000
Thu Dec 11 20:36:02 2014  commencing singleton removal, initial pass
Thu Dec 11 20:36:21 2014  memory use: 172.2 MB
Thu Dec 11 20:36:21 2014  reading all ideals from disk
Thu Dec 11 20:36:22 2014  memory use: 142.4 MB
Thu Dec 11 20:36:22 2014  keeping 5399732 ideals with weight <= 200, target excess is 21556
Thu Dec 11 20:36:22 2014  commencing in-memory singleton removal
Thu Dec 11 20:36:22 2014  begin with 4499872 relations and 5399732 unique ideals
Thu Dec 11 20:36:24 2014  reduce to 991954 relations and 1065932 ideals in 30 passes
Thu Dec 11 20:36:24 2014  max relations containing the same ideal: 77
Thu Dec 11 20:39:19 2014  
Thu Dec 11 20:39:19 2014  commencing relation filtering
Thu Dec 11 20:39:19 2014  estimated available RAM is 15987.3 MB
Thu Dec 11 20:39:19 2014  commencing duplicate removal, pass 1
Thu Dec 11 20:39:35 2014  found 560135 hash collisions in 5169231 relations
Thu Dec 11 20:39:38 2014  added 1642 free relations
Thu Dec 11 20:39:38 2014  commencing duplicate removal, pass 2
Thu Dec 11 20:39:42 2014  found 272851 duplicates and 4898022 unique relations
Thu Dec 11 20:39:42 2014  memory use: 20.6 MB
Thu Dec 11 20:39:42 2014  reading ideals above 100000
Thu Dec 11 20:39:42 2014  commencing singleton removal, initial pass
Thu Dec 11 20:40:04 2014  memory use: 172.2 MB
Thu Dec 11 20:40:05 2014  reading all ideals from disk
Thu Dec 11 20:40:05 2014  memory use: 155.1 MB
Thu Dec 11 20:40:05 2014  keeping 5586589 ideals with weight <= 200, target excess is 23211
Thu Dec 11 20:40:05 2014  commencing in-memory singleton removal
Thu Dec 11 20:40:05 2014  begin with 4898022 relations and 5586589 unique ideals
Thu Dec 11 20:40:08 2014  reduce to 1538135 relations and 1505175 ideals in 19 passes
Thu Dec 11 20:40:08 2014  max relations containing the same ideal: 93
Thu Dec 11 20:40:08 2014  relations with 0 large ideals: 430
Thu Dec 11 20:40:08 2014  relations with 1 large ideals: 208
Thu Dec 11 20:40:08 2014  relations with 2 large ideals: 3221
Thu Dec 11 20:40:08 2014  relations with 3 large ideals: 29010
Thu Dec 11 20:40:08 2014  relations with 4 large ideals: 134003
Thu Dec 11 20:40:08 2014  relations with 5 large ideals: 357560
Thu Dec 11 20:40:08 2014  relations with 6 large ideals: 475944
Thu Dec 11 20:40:08 2014  relations with 7+ large ideals: 537759
Thu Dec 11 20:40:08 2014  commencing 2-way merge
Thu Dec 11 20:40:09 2014  reduce to 825601 relation sets and 793065 unique ideals
Thu Dec 11 20:40:09 2014  ignored 424 oversize relation sets
Thu Dec 11 20:40:09 2014  commencing full merge
Thu Dec 11 20:40:27 2014  memory use: 39.3 MB
Thu Dec 11 20:40:27 2014  found 53477 cycles, need 177411
Thu Dec 11 20:40:27 2014  too few cycles, matrix probably cannot build
Sun Dec 14 16:28:25 2014  
Sun Dec 14 16:28:25 2014  commencing relation filtering
Sun Dec 14 16:28:25 2014  estimated available RAM is 15987.3 MB
Sun Dec 14 16:28:25 2014  commencing duplicate removal, pass 1
Sun Dec 14 16:28:41 2014  found 560326 hash collisions in 5170873 relations
Sun Dec 14 16:28:44 2014  commencing duplicate removal, pass 2
Sun Dec 14 16:28:48 2014  found 272851 duplicates and 4898022 unique relations
Sun Dec 14 16:28:48 2014  memory use: 20.6 MB
Sun Dec 14 16:28:48 2014  reading ideals above 100000
Sun Dec 14 16:28:48 2014  commencing singleton removal, initial pass
Sun Dec 14 16:29:10 2014  memory use: 172.2 MB
Sun Dec 14 16:29:11 2014  reading all ideals from disk
Sun Dec 14 16:29:11 2014  memory use: 155.1 MB
Sun Dec 14 16:29:11 2014  keeping 5586589 ideals with weight <= 200, target excess is 23211
Sun Dec 14 16:29:11 2014  commencing in-memory singleton removal
Sun Dec 14 16:29:12 2014  begin with 4898022 relations and 5586589 unique ideals
Sun Dec 14 16:29:15 2014  reduce to 1538135 relations and 1505175 ideals in 19 passes
Sun Dec 14 16:29:15 2014  max relations containing the same ideal: 93
Sun Dec 14 16:29:16 2014  relations with 0 large ideals: 430
Sun Dec 14 16:29:16 2014  relations with 1 large ideals: 208
Sun Dec 14 16:29:16 2014  relations with 2 large ideals: 3221
Sun Dec 14 16:29:16 2014  relations with 3 large ideals: 29010
Sun Dec 14 16:29:16 2014  relations with 4 large ideals: 134003
Sun Dec 14 16:29:16 2014  relations with 5 large ideals: 357560
Sun Dec 14 16:29:16 2014  relations with 6 large ideals: 475944
Sun Dec 14 16:29:16 2014  relations with 7+ large ideals: 537759
Sun Dec 14 16:29:16 2014  commencing 2-way merge
Sun Dec 14 16:29:17 2014  reduce to 825601 relation sets and 793065 unique ideals
Sun Dec 14 16:29:17 2014  ignored 424 oversize relation sets
Sun Dec 14 16:29:17 2014  commencing full merge
Sun Dec 14 16:29:33 2014  memory use: 39.3 MB
Sun Dec 14 16:29:33 2014  found 53477 cycles, need 177411
Sun Dec 14 16:29:33 2014  too few cycles, matrix probably cannot build
Mon Dec 15 22:26:43 2014  
Mon Dec 15 22:26:43 2014  commencing relation filtering
Mon Dec 15 22:26:43 2014  estimated available RAM is 15987.3 MB
Mon Dec 15 22:26:43 2014  commencing duplicate removal, pass 1
Mon Dec 15 22:27:18 2014  found 778816 hash collisions in 6237142 relations
Mon Dec 15 22:27:24 2014  added 2761 free relations
Mon Dec 15 22:27:24 2014  commencing duplicate removal, pass 2
Mon Dec 15 22:27:32 2014  found 384160 duplicates and 5855743 unique relations
Mon Dec 15 22:27:32 2014  memory use: 20.6 MB
Mon Dec 15 22:27:32 2014  reading ideals above 100000
Mon Dec 15 22:27:32 2014  commencing singleton removal, initial pass
Mon Dec 15 22:28:07 2014  memory use: 172.2 MB
Mon Dec 15 22:28:07 2014  reading all ideals from disk
Mon Dec 15 22:28:07 2014  memory use: 185.7 MB
Mon Dec 15 22:28:07 2014  keeping 5969110 ideals with weight <= 200, target excess is 28073
Mon Dec 15 22:28:07 2014  commencing in-memory singleton removal
Mon Dec 15 22:28:08 2014  begin with 5855743 relations and 5969110 unique ideals
Mon Dec 15 22:28:12 2014  reduce to 2781181 relations and 2366286 ideals in 17 passes
Mon Dec 15 22:28:12 2014  max relations containing the same ideal: 129
Mon Dec 15 22:28:14 2014  removing 801891 relations and 610726 ideals in 191165 cliques
Mon Dec 15 22:28:14 2014  commencing in-memory singleton removal
Mon Dec 15 22:28:14 2014  begin with 1979290 relations and 2366286 unique ideals
Mon Dec 15 22:28:16 2014  reduce to 1799991 relations and 1560034 ideals in 9 passes
Mon Dec 15 22:28:16 2014  max relations containing the same ideal: 92
Mon Dec 15 22:28:16 2014  removing 629945 relations and 438780 ideals in 191165 cliques
Mon Dec 15 22:28:17 2014  commencing in-memory singleton removal
Mon Dec 15 22:28:17 2014  begin with 1170046 relations and 1560034 unique ideals
Mon Dec 15 22:28:18 2014  reduce to 1016950 relations and 950311 ideals in 11 passes
Mon Dec 15 22:28:18 2014  max relations containing the same ideal: 65
Mon Dec 15 22:28:18 2014  removing 165251 relations and 131177 ideals in 34074 cliques
Mon Dec 15 22:28:18 2014  commencing in-memory singleton removal
Mon Dec 15 22:28:18 2014  begin with 851699 relations and 950311 unique ideals
Mon Dec 15 22:28:18 2014  reduce to 830820 relations and 797543 ideals in 8 passes
Mon Dec 15 22:28:18 2014  max relations containing the same ideal: 56
Mon Dec 15 22:28:19 2014  relations with 0 large ideals: 513
Mon Dec 15 22:28:19 2014  relations with 1 large ideals: 406
Mon Dec 15 22:28:19 2014  relations with 2 large ideals: 5562
Mon Dec 15 22:28:19 2014  relations with 3 large ideals: 37407
Mon Dec 15 22:28:19 2014  relations with 4 large ideals: 125474
Mon Dec 15 22:28:19 2014  relations with 5 large ideals: 236700
Mon Dec 15 22:28:19 2014  relations with 6 large ideals: 236517
Mon Dec 15 22:28:19 2014  relations with 7+ large ideals: 188241
Mon Dec 15 22:28:19 2014  commencing 2-way merge
Mon Dec 15 22:28:19 2014  reduce to 487632 relation sets and 454355 unique ideals
Mon Dec 15 22:28:19 2014  commencing full merge
Mon Dec 15 22:28:27 2014  memory use: 55.0 MB
Mon Dec 15 22:28:27 2014  found 239148 cycles, need 234555
Mon Dec 15 22:28:27 2014  weight of 234555 cycles is about 16480558 (70.26/cycle)
Mon Dec 15 22:28:27 2014  distribution of cycle lengths:
Mon Dec 15 22:28:27 2014  1 relations: 21503
Mon Dec 15 22:28:27 2014  2 relations: 21546
Mon Dec 15 22:28:27 2014  3 relations: 22474
Mon Dec 15 22:28:27 2014  4 relations: 21836
Mon Dec 15 22:28:27 2014  5 relations: 21137
Mon Dec 15 22:28:27 2014  6 relations: 20152
Mon Dec 15 22:28:27 2014  7 relations: 18519
Mon Dec 15 22:28:27 2014  8 relations: 16420
Mon Dec 15 22:28:27 2014  9 relations: 14385
Mon Dec 15 22:28:27 2014  10+ relations: 56583
Mon Dec 15 22:28:27 2014  heaviest cycle: 22 relations
Mon Dec 15 22:28:27 2014  commencing cycle optimization
Mon Dec 15 22:28:27 2014  start with 1558893 relations
Mon Dec 15 22:28:30 2014  pruned 42952 relations
Mon Dec 15 22:28:30 2014  memory use: 49.3 MB
Mon Dec 15 22:28:30 2014  distribution of cycle lengths:
Mon Dec 15 22:28:30 2014  1 relations: 21503
Mon Dec 15 22:28:30 2014  2 relations: 21982
Mon Dec 15 22:28:30 2014  3 relations: 23182
Mon Dec 15 22:28:30 2014  4 relations: 22472
Mon Dec 15 22:28:30 2014  5 relations: 21882
Mon Dec 15 22:28:30 2014  6 relations: 20671
Mon Dec 15 22:28:30 2014  7 relations: 19061
Mon Dec 15 22:28:30 2014  8 relations: 16707
Mon Dec 15 22:28:30 2014  9 relations: 14561
Mon Dec 15 22:28:30 2014  10+ relations: 52534
Mon Dec 15 22:28:30 2014  heaviest cycle: 22 relations
Mon Dec 15 22:28:30 2014  RelProcTime: 107
Mon Dec 15 22:28:30 2014  
Mon Dec 15 22:28:30 2014  commencing linear algebra
Mon Dec 15 22:28:30 2014  read 234555 cycles
Mon Dec 15 22:28:30 2014  cycles contain 801597 unique relations
Mon Dec 15 22:28:40 2014  read 801597 relations
Mon Dec 15 22:28:40 2014  using 20 quadratic characters above 67107882
Mon Dec 15 22:28:44 2014  building initial matrix
Mon Dec 15 22:28:53 2014  memory use: 99.4 MB
Mon Dec 15 22:28:53 2014  read 234555 cycles
Mon Dec 15 22:28:53 2014  matrix is 234376 x 234555 (70.9 MB) with weight 22615529 (96.42/col)
Mon Dec 15 22:28:53 2014  sparse part has weight 15758359 (67.18/col)
Mon Dec 15 22:28:54 2014  filtering completed in 2 passes
Mon Dec 15 22:28:54 2014  matrix is 234217 x 234396 (70.8 MB) with weight 22609268 (96.46/col)
Mon Dec 15 22:28:54 2014  sparse part has weight 15756790 (67.22/col)
Mon Dec 15 22:28:55 2014  matrix starts at (0, 0)
Mon Dec 15 22:28:55 2014  matrix is 234217 x 234396 (70.8 MB) with weight 22609268 (96.46/col)
Mon Dec 15 22:28:55 2014  sparse part has weight 15756790 (67.22/col)
Mon Dec 15 22:28:55 2014  saving the first 48 matrix rows for later
Mon Dec 15 22:28:55 2014  matrix includes 64 packed rows
Mon Dec 15 22:28:55 2014  matrix is 234169 x 234396 (68.0 MB) with weight 18032230 (76.93/col)
Mon Dec 15 22:28:55 2014  sparse part has weight 15482119 (66.05/col)
Mon Dec 15 22:28:55 2014  using block size 65536 for processor cache size 8192 kB
Mon Dec 15 22:28:56 2014  commencing Lanczos iteration (8 threads)
Mon Dec 15 22:28:56 2014  memory use: 63.8 MB
Mon Dec 15 22:29:09 2014  linear algebra at 5.2%, ETA 0h 3m
Mon Dec 15 22:33:13 2014  lanczos halted after 3704 iterations (dim = 234166)
Mon Dec 15 22:33:13 2014  recovered 34 nontrivial dependencies
Mon Dec 15 22:33:13 2014  BLanczosTime: 283
Mon Dec 15 22:33:13 2014  
Mon Dec 15 22:33:13 2014  commencing square root phase
Mon Dec 15 22:33:13 2014  reading relations for dependency 1
Mon Dec 15 22:33:13 2014  read 117228 cycles
Mon Dec 15 22:33:13 2014  cycles contain 400432 unique relations
Mon Dec 15 22:33:20 2014  read 400432 relations
Mon Dec 15 22:33:21 2014  multiplying 400432 relations
Mon Dec 15 22:33:28 2014  multiply complete, coefficients have about 16.04 million bits
Mon Dec 15 22:33:28 2014  initial square root is modulo 1649756671
Mon Dec 15 22:33:41 2014  GCD is 1, no factor found
Mon Dec 15 22:33:41 2014  reading relations for dependency 2
Mon Dec 15 22:33:41 2014  read 116877 cycles
Mon Dec 15 22:33:41 2014  cycles contain 400512 unique relations
Mon Dec 15 22:33:49 2014  read 400512 relations
Mon Dec 15 22:33:50 2014  multiplying 400512 relations
Mon Dec 15 22:34:01 2014  multiply complete, coefficients have about 16.05 million bits
Mon Dec 15 22:34:01 2014  initial square root is modulo 1658527469
Mon Dec 15 22:34:18 2014  GCD is 1, no factor found
Mon Dec 15 22:34:18 2014  reading relations for dependency 3
Mon Dec 15 22:34:18 2014  read 117086 cycles
Mon Dec 15 22:34:18 2014  cycles contain 400970 unique relations
Mon Dec 15 22:34:26 2014  read 400970 relations
Mon Dec 15 22:34:27 2014  multiplying 400970 relations
Mon Dec 15 22:34:39 2014  multiply complete, coefficients have about 16.06 million bits
Mon Dec 15 22:34:39 2014  initial square root is modulo 1695347803
Mon Dec 15 22:34:56 2014  sqrtTime: 103
--
n: 860569398037918793374453896660879666742807163912431988474382559163124352209237025940692997125736694907
skew: 6266912.74
c0: 142528969709459310566454233205
c1: -67310665647291613794157
c2: -24847813282936414
c3: 118976996
c4: 420
Y0: -6727971379783575798499622
Y1: 3647252694103
rlim: 2080000
alim: 2080000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:49:08 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 8 秒 (日本時間)

163×10165-19

c126

name 名前Serge Batalov
date 日付December 10, 2014 23:06:08 UTC 2014 年 12 月 11 日 (木) 8 時 6 分 8 秒 (日本時間)
composite number 合成数
284744930371581185833557954263994999697626855052720041230490953085252413257969901434494657337229058273264910573389384849714283<126>
prime factors 素因数
1062537518421838036655753914411669<34>
101912461495100787448954146747551019672929<42>
2629568177296650052696867642680926875879985347058783<52>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3206876669
Step 1 took 7687ms
Step 2 took 6310ms
********** Factor found in step 2: 1062537518421838036655753914411669
Found probable prime factor of 34 digits: 1062537518421838036655753914411669

PRP52 = 2629568177296650052696867642680926875879985347058783
PRP42 = 101912461495100787448954146747551019672929
software ソフトウェア
GMP-ECM 6.4 + yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:49:09 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 9 秒 (日本時間)

163×10166-19

c154

name 名前Serge Batalov
date 日付December 11, 2014 01:35:48 UTC 2014 年 12 月 11 日 (木) 10 時 35 分 48 秒 (日本時間)
composite number 合成数
8636682282037646145747337964029735132858360645091627625476663605986513013694244434089365830430347882038209750725507868791091879024024329096594948263784543<154>
prime factors 素因数
424983252796750560030043051148389<33>
composite cofactor 合成数の残り
20322406177657461293417626495237081033118675128931051639352422639867224684025210902644002738519087146073903793866243222387<122>
factorization results 素因数分解の結果
Input number is 8636682282037646145747337964029735132858360645091627625476663605986513013694244434089365830430347882038209750725507868791091879024024329096594948263784543 (154 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2333389077
Step 1 took 9615ms
Step 2 took 6909ms
********** Factor found in step 2: 424983252796750560030043051148389
Found probable prime factor of 33 digits: 424983252796750560030043051148389
Composite cofactor 20322406177657461293417626495237081033118675128931051639352422639867224684025210902644002738519087146073903793866243222387 has 122 digits

c122

name 名前Jo Yeong Uk
date 日付March 15, 2015 05:48:57 UTC 2015 年 3 月 15 日 (日) 14 時 48 分 57 秒 (日本時間)
composite number 合成数
20322406177657461293417626495237081033118675128931051639352422639867224684025210902644002738519087146073903793866243222387<122>
prime factors 素因数
127584123844438684133491446283102809884311393399591<51>
159286324703191531602991988985284249855966197839301660088232600771052757<72>
factorization results 素因数分解の結果
Number: 18111_166
N=20322406177657461293417626495237081033118675128931051639352422639867224684025210902644002738519087146073903793866243222387
  ( 122 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=127584123844438684133491446283102809884311393399591
 r2=159286324703191531602991988985284249855966197839301660088232600771052757
Version: 
Total time: 18.92 hours.
Scaled time: 98.23 units (timescale=5.191).
Factorization parameters were as follows:
n: 20322406177657461293417626495237081033118675128931051639352422639867224684025210902644002738519087146073903793866243222387
m: 1000000000000000000000000000000000
deg: 5
c5: 1630
c0: -1
skew: 0.23
# Murphy_E = 2.485e-10
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2300000, 4900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10962301
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 879973 x 880221
Total sieving time: 17.39 hours.
Total relation processing time: 0.69 hours.
Matrix solve time: 0.78 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 18.92 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.94 BogoMIPS (lpj=3399972)
Total of 12 processors activated (81599.32 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovDecember 10, 2014 19:49:10 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 10 秒 (日本時間)
2350Ignacio SantosFebruary 9, 2015 19:17:05 UTC 2015 年 2 月 10 日 (火) 4 時 17 分 5 秒 (日本時間)

163×10167-19

c160

name 名前Cyp
date 日付March 17, 2015 12:11:48 UTC 2015 年 3 月 17 日 (火) 21 時 11 分 48 秒 (日本時間)
composite number 合成数
1577063304766630193672061218847402244591069476721137246061971749227726878577241507211680173728658957676076055523436339297583475273408806166902912055877432676397<160>
prime factors 素因数
711343235033243724862492476548844519903522943<45>
2217021582686349913994794071986566032551243201285185883443540169012257337385512946553471609292153733866222462167379<115>
factorization results 素因数分解の結果
03/17/15 08:12:20 v1.34.3, 
03/17/15 08:12:20 v1.34.3, ****************************
03/17/15 08:12:20 v1.34.3, Starting factorization of 1577063304766630193672061218847402244591069476721137246061971749227726878577241507211680173728658957676076055523436339297583475273408806166902912055877432676397
03/17/15 08:12:20 v1.34.3, using pretesting plan: none
03/17/15 08:12:20 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
03/17/15 08:12:20 v1.34.3, ****************************
03/17/15 08:12:20 v1.34.3, nfs: commencing nfs on c160: 1577063304766630193672061218847402244591069476721137246061971749227726878577241507211680173728658957676076055523436339297583475273408806166902912055877432676397
03/17/15 08:12:20 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
03/17/15 08:12:20 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/17/15 08:16:58 v1.34.3, nfs: commencing lattice sieving with 8 threads
[49 lines snipped]
03/17/15 12:20:16 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/17/15 12:25:16 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/17/15 12:30:16 v1.34.3, nfs: commencing msieve filtering
03/17/15 12:32:24 v1.34.3, nfs: commencing msieve linear algebra
03/17/15 12:59:41 v1.34.3, nfs: commencing msieve sqrt
03/17/15 13:11:42 v1.34.3, prp45 = 711343235033243724862492476548844519903522943
03/17/15 13:11:42 v1.34.3, prp115 = 2217021582686349913994794071986566032551243201285185883443540169012257337385512946553471609292153733866222462167379
03/17/15 13:11:42 v1.34.3, NFS elapsed time = 17961.4154 seconds.
03/17/15 13:11:42 v1.34.3, 
03/17/15 13:11:42 v1.34.3, 
03/17/15 13:11:42 v1.34.3, Total factoring time = 17961.4165 seconds
--
Tue Mar 17 12:30:16 2015  
Tue Mar 17 12:30:16 2015  commencing relation filtering
Tue Mar 17 12:30:16 2015  estimated available RAM is 15987.3 MB
Tue Mar 17 12:30:16 2015  commencing duplicate removal, pass 1
Tue Mar 17 12:30:46 2015  found 1272242 hash collisions in 10111965 relations
Tue Mar 17 12:30:55 2015  added 370759 free relations
Tue Mar 17 12:30:55 2015  commencing duplicate removal, pass 2
Tue Mar 17 12:31:03 2015  found 792848 duplicates and 9689876 unique relations
Tue Mar 17 12:31:03 2015  memory use: 41.3 MB
Tue Mar 17 12:31:03 2015  reading ideals above 100000
Tue Mar 17 12:31:03 2015  commencing singleton removal, initial pass
Tue Mar 17 12:31:47 2015  memory use: 344.5 MB
Tue Mar 17 12:31:47 2015  reading all ideals from disk
Tue Mar 17 12:31:48 2015  memory use: 348.1 MB
Tue Mar 17 12:31:48 2015  keeping 10848101 ideals with weight <= 200, target excess is 49650
Tue Mar 17 12:31:49 2015  commencing in-memory singleton removal
Tue Mar 17 12:31:49 2015  begin with 9689876 relations and 10848101 unique ideals
Tue Mar 17 12:31:53 2015  reduce to 3722729 relations and 3607063 ideals in 18 passes
Tue Mar 17 12:31:53 2015  max relations containing the same ideal: 107
Tue Mar 17 12:31:54 2015  removing 337287 relations and 308251 ideals in 29036 cliques
Tue Mar 17 12:31:54 2015  commencing in-memory singleton removal
Tue Mar 17 12:31:54 2015  begin with 3385442 relations and 3607063 unique ideals
Tue Mar 17 12:31:55 2015  reduce to 3356929 relations and 3269960 ideals in 9 passes
Tue Mar 17 12:31:55 2015  max relations containing the same ideal: 99
Tue Mar 17 12:31:56 2015  removing 246618 relations and 217582 ideals in 29036 cliques
Tue Mar 17 12:31:56 2015  commencing in-memory singleton removal
Tue Mar 17 12:31:56 2015  begin with 3110311 relations and 3269960 unique ideals
Tue Mar 17 12:31:58 2015  reduce to 3093663 relations and 3035567 ideals in 9 passes
Tue Mar 17 12:31:58 2015  max relations containing the same ideal: 93
Tue Mar 17 12:31:59 2015  relations with 0 large ideals: 1146
Tue Mar 17 12:31:59 2015  relations with 1 large ideals: 275
Tue Mar 17 12:31:59 2015  relations with 2 large ideals: 4873
Tue Mar 17 12:31:59 2015  relations with 3 large ideals: 43457
Tue Mar 17 12:31:59 2015  relations with 4 large ideals: 204769
Tue Mar 17 12:31:59 2015  relations with 5 large ideals: 549814
Tue Mar 17 12:31:59 2015  relations with 6 large ideals: 905030
Tue Mar 17 12:31:59 2015  relations with 7+ large ideals: 1384299
Tue Mar 17 12:31:59 2015  commencing 2-way merge
Tue Mar 17 12:32:00 2015  reduce to 1774112 relation sets and 1716016 unique ideals
Tue Mar 17 12:32:00 2015  commencing full merge
Tue Mar 17 12:32:17 2015  memory use: 202.6 MB
Tue Mar 17 12:32:17 2015  found 886527 cycles, need 880216
Tue Mar 17 12:32:17 2015  weight of 880216 cycles is about 61645829 (70.03/cycle)
Tue Mar 17 12:32:17 2015  distribution of cycle lengths:
Tue Mar 17 12:32:17 2015  1 relations: 116680
Tue Mar 17 12:32:17 2015  2 relations: 106499
Tue Mar 17 12:32:17 2015  3 relations: 102584
Tue Mar 17 12:32:17 2015  4 relations: 89627
Tue Mar 17 12:32:17 2015  5 relations: 79163
Tue Mar 17 12:32:17 2015  6 relations: 65708
Tue Mar 17 12:32:17 2015  7 relations: 57446
Tue Mar 17 12:32:17 2015  8 relations: 48140
Tue Mar 17 12:32:17 2015  9 relations: 40080
Tue Mar 17 12:32:17 2015  10+ relations: 174289
Tue Mar 17 12:32:17 2015  heaviest cycle: 26 relations
Tue Mar 17 12:32:17 2015  commencing cycle optimization
Tue Mar 17 12:32:18 2015  start with 5278093 relations
Tue Mar 17 12:32:22 2015  pruned 103391 relations
Tue Mar 17 12:32:22 2015  memory use: 178.3 MB
Tue Mar 17 12:32:22 2015  distribution of cycle lengths:
Tue Mar 17 12:32:22 2015  1 relations: 116680
Tue Mar 17 12:32:22 2015  2 relations: 108529
Tue Mar 17 12:32:22 2015  3 relations: 105475
Tue Mar 17 12:32:22 2015  4 relations: 91271
Tue Mar 17 12:32:22 2015  5 relations: 80228
Tue Mar 17 12:32:22 2015  6 relations: 66470
Tue Mar 17 12:32:22 2015  7 relations: 57700
Tue Mar 17 12:32:22 2015  8 relations: 47959
Tue Mar 17 12:32:22 2015  9 relations: 39618
Tue Mar 17 12:32:22 2015  10+ relations: 166286
Tue Mar 17 12:32:22 2015  heaviest cycle: 26 relations
Tue Mar 17 12:32:23 2015  RelProcTime: 127
Tue Mar 17 12:32:24 2015  
Tue Mar 17 12:32:24 2015  commencing linear algebra
Tue Mar 17 12:32:24 2015  read 880216 cycles
Tue Mar 17 12:32:25 2015  cycles contain 3020784 unique relations
Tue Mar 17 12:32:38 2015  read 3020784 relations
Tue Mar 17 12:32:40 2015  using 20 quadratic characters above 134215484
Tue Mar 17 12:32:49 2015  building initial matrix
Tue Mar 17 12:33:04 2015  memory use: 365.2 MB
Tue Mar 17 12:33:04 2015  read 880216 cycles
Tue Mar 17 12:33:05 2015  matrix is 880038 x 880216 (264.0 MB) with weight 78953749 (89.70/col)
Tue Mar 17 12:33:05 2015  sparse part has weight 59515689 (67.61/col)
Tue Mar 17 12:33:09 2015  filtering completed in 2 passes
Tue Mar 17 12:33:09 2015  matrix is 878747 x 878925 (263.9 MB) with weight 78911202 (89.78/col)
Tue Mar 17 12:33:09 2015  sparse part has weight 59501967 (67.70/col)
Tue Mar 17 12:33:11 2015  matrix starts at (0, 0)
Tue Mar 17 12:33:12 2015  matrix is 878747 x 878925 (263.9 MB) with weight 78911202 (89.78/col)
Tue Mar 17 12:33:12 2015  sparse part has weight 59501967 (67.70/col)
Tue Mar 17 12:33:12 2015  saving the first 48 matrix rows for later
Tue Mar 17 12:33:12 2015  matrix includes 64 packed rows
Tue Mar 17 12:33:12 2015  matrix is 878699 x 878925 (251.5 MB) with weight 63413326 (72.15/col)
Tue Mar 17 12:33:12 2015  sparse part has weight 57143045 (65.01/col)
Tue Mar 17 12:33:12 2015  using block size 65536 for processor cache size 8192 kB
Tue Mar 17 12:33:14 2015  commencing Lanczos iteration (8 threads)
Tue Mar 17 12:33:14 2015  memory use: 243.9 MB
Tue Mar 17 12:33:19 2015  linear algebra at 0.3%, ETA 0h24m
Tue Mar 17 12:59:40 2015  lanczos halted after 13897 iterations (dim = 878697)
Tue Mar 17 12:59:41 2015  recovered 37 nontrivial dependencies
Tue Mar 17 12:59:41 2015  BLanczosTime: 1637
Tue Mar 17 12:59:41 2015  
Tue Mar 17 12:59:41 2015  commencing square root phase
Tue Mar 17 12:59:41 2015  reading relations for dependency 1
Tue Mar 17 12:59:41 2015  read 439348 cycles
Tue Mar 17 12:59:42 2015  cycles contain 1510846 unique relations
Tue Mar 17 12:59:51 2015  read 1510846 relations
Tue Mar 17 12:59:55 2015  multiplying 1510846 relations
Tue Mar 17 13:00:34 2015  multiply complete, coefficients have about 51.85 million bits
Tue Mar 17 13:00:34 2015  initial square root is modulo 27764591
Tue Mar 17 13:01:25 2015  GCD is 1, no factor found
Tue Mar 17 13:01:25 2015  reading relations for dependency 2
Tue Mar 17 13:01:25 2015  read 439646 cycles
Tue Mar 17 13:01:25 2015  cycles contain 1510872 unique relations
Tue Mar 17 13:01:35 2015  read 1510872 relations
Tue Mar 17 13:01:38 2015  multiplying 1510872 relations
Tue Mar 17 13:02:17 2015  multiply complete, coefficients have about 51.85 million bits
Tue Mar 17 13:02:17 2015  initial square root is modulo 27806431
Tue Mar 17 13:03:07 2015  GCD is 1, no factor found
Tue Mar 17 13:03:07 2015  reading relations for dependency 3
Tue Mar 17 13:03:07 2015  read 439116 cycles
Tue Mar 17 13:03:08 2015  cycles contain 1508514 unique relations
Tue Mar 17 13:03:18 2015  read 1508514 relations
Tue Mar 17 13:03:21 2015  multiplying 1508514 relations
Tue Mar 17 13:04:00 2015  multiply complete, coefficients have about 51.77 million bits
Tue Mar 17 13:04:00 2015  initial square root is modulo 27061241
Tue Mar 17 13:04:50 2015  GCD is N, no factor found
Tue Mar 17 13:04:50 2015  reading relations for dependency 4
Tue Mar 17 13:04:50 2015  read 439358 cycles
Tue Mar 17 13:04:50 2015  cycles contain 1507902 unique relations
Tue Mar 17 13:05:00 2015  read 1507902 relations
Tue Mar 17 13:05:04 2015  multiplying 1507902 relations
Tue Mar 17 13:05:42 2015  multiply complete, coefficients have about 51.74 million bits
Tue Mar 17 13:05:42 2015  initial square root is modulo 26835421
Tue Mar 17 13:06:32 2015  GCD is N, no factor found
Tue Mar 17 13:06:32 2015  reading relations for dependency 5
Tue Mar 17 13:06:32 2015  read 439847 cycles
Tue Mar 17 13:06:33 2015  cycles contain 1509156 unique relations
Tue Mar 17 13:06:43 2015  read 1509156 relations
Tue Mar 17 13:06:46 2015  multiplying 1509156 relations
Tue Mar 17 13:07:25 2015  multiply complete, coefficients have about 51.79 million bits
Tue Mar 17 13:07:25 2015  initial square root is modulo 27252011
Tue Mar 17 13:08:15 2015  GCD is 1, no factor found
Tue Mar 17 13:08:15 2015  reading relations for dependency 6
Tue Mar 17 13:08:15 2015  read 439223 cycles
Tue Mar 17 13:08:15 2015  cycles contain 1510046 unique relations
Tue Mar 17 13:08:25 2015  read 1510046 relations
Tue Mar 17 13:08:29 2015  multiplying 1510046 relations
Tue Mar 17 13:09:07 2015  multiply complete, coefficients have about 51.82 million bits
Tue Mar 17 13:09:07 2015  initial square root is modulo 27531761
Tue Mar 17 13:09:57 2015  GCD is 1, no factor found
Tue Mar 17 13:09:57 2015  reading relations for dependency 7
Tue Mar 17 13:09:57 2015  read 440095 cycles
Tue Mar 17 13:09:58 2015  cycles contain 1511968 unique relations
Tue Mar 17 13:10:08 2015  read 1511968 relations
Tue Mar 17 13:10:11 2015  multiplying 1511968 relations
Tue Mar 17 13:10:51 2015  multiply complete, coefficients have about 51.88 million bits
Tue Mar 17 13:10:51 2015  initial square root is modulo 28126871
Tue Mar 17 13:11:42 2015  sqrtTime: 721
--
n: 1577063304766630193672061218847402244591069476721137246061971749227726878577241507211680173728658957676076055523436339297583475273408806166902912055877432676397
m: 1000000000000000000000000000000000
deg: 5
c5: 16300
c0: -1
skew: 0.14
# Murphy_E = 2.693e-10
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovDecember 10, 2014 19:49:10 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 10 秒 (日本時間)
2350Ignacio SantosFebruary 16, 2015 12:56:08 UTC 2015 年 2 月 16 日 (月) 21 時 56 分 8 秒 (日本時間)

163×10168-19

c128

name 名前Jo Yeong Uk
date 日付April 2, 2015 22:09:32 UTC 2015 年 4 月 3 日 (金) 7 時 9 分 32 秒 (日本時間)
composite number 合成数
16721200087972925337792205091291144459874381394910730951395769126444833956371531804714852497731129978833080655690992025937177733<128>
prime factors 素因数
87022486781848015787723079613504667462589944164577899795393<59>
192148037896117598515956442933628657582067247166682935422781293181381<69>
factorization results 素因数分解の結果
Number: 18111_168
N=16721200087972925337792205091291144459874381394910730951395769126444833956371531804714852497731129978833080655690992025937177733
  ( 128 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=87022486781848015787723079613504667462589944164577899795393
 r2=192148037896117598515956442933628657582067247166682935422781293181381
Version: 
Total time: 27.86 hours.
Scaled time: 146.00 units (timescale=5.241).
Factorization parameters were as follows:
n: 16721200087972925337792205091291144459874381394910730951395769126444833956371531804714852497731129978833080655690992025937177733
m: 2000000000000000000000000000000000
deg: 5
c5: 20375
c0: -4
skew: 0.18
# Murphy_E = 1.687e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2800000, 6500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11375761
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1063986 x 1064234
Total sieving time: 25.59 hours.
Total relation processing time: 1.03 hours.
Matrix solve time: 1.15 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 27.86 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.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovDecember 10, 2014 19:49:10 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 10 秒 (日本時間)
2350Ignacio SantosFebruary 9, 2015 20:28:15 UTC 2015 年 2 月 10 日 (火) 5 時 28 分 15 秒 (日本時間)

163×10169-19

c151

name 名前Jo Yeong Uk
date 日付April 7, 2015 22:11:33 UTC 2015 年 4 月 8 日 (水) 7 時 11 分 33 秒 (日本時間)
composite number 合成数
3814172590442571946374703186133059886832558181052649477248331707420957721937537504373883505678259252692580927739091278337764397645410470728926828803903<151>
prime factors 素因数
17033600655794465928880352485598798893199992815124674175705662510197227<71>
223920512610178645069831415909694266845626003008966691597130778673989147977064189<81>
factorization results 素因数分解の結果
Number: 18111_169
N=3814172590442571946374703186133059886832558181052649477248331707420957721937537504373883505678259252692580927739091278337764397645410470728926828803903
  ( 151 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=17033600655794465928880352485598798893199992815124674175705662510197227
 r2=223920512610178645069831415909694266845626003008966691597130778673989147977064189
Version: 
Total time: 24.87 hours.
Scaled time: 130.67 units (timescale=5.254).
Factorization parameters were as follows:
n: 3814172590442571946374703186133059886832558181052649477248331707420957721937537504373883505678259252692580927739091278337764397645410470728926828803903
m: 10000000000000000000000000000000000
deg: 5
c5: 163
c0: -10
skew: 0.57
# Murphy_E = 1.799e-10
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 6100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11148641
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1045213 x 1045461
Total sieving time: 22.62 hours.
Total relation processing time: 0.87 hours.
Matrix solve time: 1.11 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000
total time: 24.87 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.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:11 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 11 秒 (日本時間)
4511e6585 / 4409CypJanuary 25, 2015 11:42:40 UTC 2015 年 1 月 25 日 (日) 20 時 42 分 40 秒 (日本時間)

163×10171-19

c153

name 名前Ignacio Santos
date 日付March 3, 2015 17:07:48 UTC 2015 年 3 月 4 日 (水) 2 時 7 分 48 秒 (日本時間)
composite number 合成数
359052459832594027340107706848368963997169265273846625998903746257330130403682076213515587099051204971080166333367484459104477038503742890527823213925581<153>
prime factors 素因数
3345000080582829312151684615838032683967<40>
107340045196660534199989409113360663264087724490976986763055695545532729093768060103860213403142101549280090045043<114>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1678771659
Step 1 took 9219ms
Step 2 took 6609ms
********** Factor found in step 2: 3345000080582829312151684615838032683967
Found probable prime factor of 40 digits: 3345000080582829312151684615838032683967
Probable prime cofactor 107340045196660534199989409113360663264087724490976986763055695545532729093768060103860213403142101549280090045043 has 114 digits
software ソフトウェア
GMP-ECM 7.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280 / 2318CypDecember 8, 2014 02:20:10 UTC 2014 年 12 月 8 日 (月) 11 時 20 分 10 秒 (日本時間)

163×10175-19

c157

name 名前Jo Yeong Uk
date 日付May 26, 2015 12:37:13 UTC 2015 年 5 月 26 日 (火) 21 時 37 分 13 秒 (日本時間)
composite number 合成数
3958751307163431099584083098825699773029946988631951920858028614604495188362564335582562820851060110527569674027292302813224805871305296603381149086505067841<157>
prime factors 素因数
341335043660956564802628702874015399483633589528235571940199863<63>
11597846106582612374398656937900249501523927124461149083802582573208334990441239844289756177607<95>
factorization results 素因数分解の結果
Number: 18111_175
N=3958751307163431099584083098825699773029946988631951920858028614604495188362564335582562820851060110527569674027292302813224805871305296603381149086505067841
  ( 157 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=341335043660956564802628702874015399483633589528235571940199863
 r2=11597846106582612374398656937900249501523927124461149083802582573208334990441239844289756177607
Version: 
Total time: 27.88 hours.
Scaled time: 144.34 units (timescale=5.178).
Factorization parameters were as follows:
n: 3958751307163431099584083098825699773029946988631951920858028614604495188362564335582562820851060110527569674027292302813224805871305296603381149086505067841
m: 100000000000000000000000000000000000
deg: 5
c5: 163
c0: -1
skew: 0.36
# Murphy_E = 1.544e-10
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3700000, 6800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17961029
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1206639 x 1206887
Total sieving time: 24.63 hours.
Total relation processing time: 1.41 hours.
Matrix solve time: 1.60 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 27.88 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.77 BogoMIPS (lpj=3399888)
Total of 12 processors activated (81597.31 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 9, 2014 15:31:07 UTC 2014 年 12 月 10 日 (水) 0 時 31 分 7 秒 (日本時間)
4511e6600 / 4413KTakahashiMay 3, 2015 22:43:18 UTC 2015 年 5 月 4 日 (月) 7 時 43 分 18 秒 (日本時間)

163×10177-19

c160

name 名前Jo Yeong Uk
date 日付October 19, 2015 05:03:36 UTC 2015 年 10 月 19 日 (月) 14 時 3 分 36 秒 (日本時間)
composite number 合成数
4272877065656072045333141849816490328620548873197278073246145306875592679692923054269282161958694632368256899660946329193461251725983858231923827920643484301677<160>
prime factors 素因数
2813038901221848570146388323037732206463208807<46>
1518954133126328295586239793621165525940593190219852011086397668646698879762545290113345525643414529156039439526411<115>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 4272877065656072045333141849816490328620548873197278073246145306875592679692923054269282161958694632368256899660946329193461251725983858231923827920643484301677 (160 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3221522666
Step 1 took 29381ms
Step 2 took 9736ms
********** Factor found in step 2: 2813038901221848570146388323037732206463208807
Found probable prime factor of 46 digits: 2813038901221848570146388323037732206463208807
Probable prime cofactor 1518954133126328295586239793621165525940593190219852011086397668646698879762545290113345525643414529156039439526411 has 115 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:11 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 11 秒 (日本時間)
4511e6600 / 4409KTakahashiMay 9, 2015 13:41:23 UTC 2015 年 5 月 9 日 (土) 22 時 41 分 23 秒 (日本時間)

163×10179-19

c156

name 名前KTakahashi
date 日付May 17, 2015 12:30:24 UTC 2015 年 5 月 17 日 (日) 21 時 30 分 24 秒 (日本時間)
composite number 合成数
398089574542569311098008136617892626086309126173809391470290559851497338197699809505730975550277154576548484161881816610869369815383197245394662831442115419<156>
prime factors 素因数
518722951917922696230215721904981529<36>
composite cofactor 合成数の残り
767441604561116179029497682241483708021783472304028559006044238461265795322928333637798760354943554598149355832818283411<120>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 398089574542569311098008136617892626086309126173809391470290559851497338197699809505730975550277154576548484161881816610869369815383197245394662831442115419 (156 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4163338771
Step 1 took 50934ms
Step 2 took 13900ms
********** Factor found in step 2: 518722951917922696230215721904981529
Found probable prime factor of 36 digits: 518722951917922696230215721904981529
Composite cofactor 767441604561116179029497682241483708021783472304028559006044238461265795322928333637798760354943554598149355832818283411 has 120 digits

c120

name 名前Dmitry Domanov
date 日付May 18, 2015 06:33:03 UTC 2015 年 5 月 18 日 (月) 15 時 33 分 3 秒 (日本時間)
composite number 合成数
767441604561116179029497682241483708021783472304028559006044238461265795322928333637798760354943554598149355832818283411<120>
prime factors 素因数
120491750222217356028163461096635027833657759<45>
6369246053325303692300374709502795849284626932784546443914271083778950367629<76>
factorization results 素因数分解の結果
N=767441604561116179029497682241483708021783472304028559006044238461265795322928333637798760354943554598149355832818283411
  ( 120 digits)
Divisors found:
 r1=120491750222217356028163461096635027833657759 (pp45)
 r2=6369246053325303692300374709502795849284626932784546443914271083778950367629 (pp76)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 42.74 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 767441604561116179029497682241483708021783472304028559006044238461265795322928333637798760354943554598149355832818283411
skew: 579147.82
c0: 2949721597865404335368711637720
c1: 8550382231575652461196902
c2: -283450106304642084471
c3: -192112105232671
c4: 214480955
c5: 300
Y0: -303099174373282704461741
Y1: 310327212533
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 160000
type: gnfs
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2750000, 4670001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 712697 x 712939
Total sieving time: 41.48 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.03 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
gnfs,119,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5500000,5500000,27,27,54,54,2.5,2.5,100000
total time: 42.74 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 KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 10, 2014 20:17:10 UTC 2014 年 12 月 11 日 (木) 5 時 17 分 10 秒 (日本時間)
4511e6600 / 4413KTakahashiMay 17, 2015 20:29:32 UTC 2015 年 5 月 18 日 (月) 5 時 29 分 32 秒 (日本時間)

163×10182-19

c161

name 名前Dmitry Domanov
date 日付January 18, 2016 06:26:53 UTC 2016 年 1 月 18 日 (月) 15 時 26 分 53 秒 (日本時間)
composite number 合成数
15850115357268028614448224934279400573612943483321813867344997625422476145650505856806763705980276761592039762706470174304429154615182929661147757935812897730013<161>
prime factors 素因数
121299206100330333699229085358792740387192675088906312363326895931758226528507<78>
130669572100561868816052907755734190177145033376068882401078823337393341034839428359<84>
factorization results 素因数分解の結果
N = 15850115357268028614448224934279400573612943483321813867344997625422476145650505856806763705980276761592039762706470174304429154615182929661147757935812897730013 (161 digits)
SNFS difficulty: 185 digits.
Divisors found:
r1=121299206100330333699229085358792740387192675088906312363326895931758226528507 (pp78)
r2=130669572100561868816052907755734190177145033376068882401078823337393341034839428359 (pp84)
Version: Msieve v. 1.52 (SVN exported)
Total time: 16.56 hours.
Factorization parameters were as follows:
n: 15850115357268028614448224934279400573612943483321813867344997625422476145650505856806763705980276761592039762706470174304429154615182929661147757935812897730013
m: 1000000000000000000000000000000000000
deg: 5
c5: 16300
c0: -1
skew: 0.14
# Murphy_E = 6.746e-11
type: snfs
lss: 1
rlim: 8200000
alim: 8200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 8200000/8200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 21778009
Relations: 2430642 relations
Pruned matrix : 1486390 x 1486615
Polynomial selection time: 0.00 hours.
Total sieving time: 14.15 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 1.43 hours.
time per square root: 0.75 hours.
Prototype def-par.txt line would be: snfs,185,5,0,0,0,0,0,0,0,0,8200000,8200000,28,28,54,54,2.5,2.5,600000
total time: 16.56 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 10, 2014 05:46:59 UTC 2014 年 12 月 10 日 (水) 14 時 46 分 59 秒 (日本時間)
4511e6600 / 4413KTakahashiMay 26, 2015 09:46:54 UTC 2015 年 5 月 26 日 (火) 18 時 46 分 54 秒 (日本時間)

163×10187-19

c147

name 名前Dmitry Domanov
date 日付February 4, 2016 18:07:45 UTC 2016 年 2 月 5 日 (金) 3 時 7 分 45 秒 (日本時間)
composite number 合成数
551160396389343433018043107160673565201344577676970873292255788741621443863475230179846683617571591116291165522513511670827215865213905903711140629<147>
prime factors 素因数
3301069636796970688530823300543276308640541<43>
166964183440896632082185203567950955068756012690123240638460415326039630979819375496582956979633396641369<105>
factorization results 素因数分解の結果
N = 551160396389343433018043107160673565201344577676970873292255788741621443863475230179846683617571591116291165522513511670827215865213905903711140629 (147 digits)
SNFS difficulty: 190 digits.
Divisors found:
r1=3301069636796970688530823300543276308640541 (pp43)
r2=166964183440896632082185203567950955068756012690123240638460415326039630979819375496582956979633396641369 (pp105)
Version: Msieve v. 1.52 (SVN exported)
Total time: 23.88 hours.
Factorization parameters were as follows:
n: 551160396389343433018043107160673565201344577676970873292255788741621443863475230179846683617571591116291165522513511670827215865213905903711140629
m: 10000000000000000000000000000000000000
deg: 5
c5: 16300
c0: -1
skew: 0.14
# Murphy_E = 4.216e-11
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 800000
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 22034425
Relations: 2818274 relations
Pruned matrix : 1773798 x 1774022
Polynomial selection time: 0.00 hours.
Total sieving time: 21.24 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 2.07 hours.
time per square root: 0.34 hours.
Prototype def-par.txt line would be: snfs,190,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,54,54,2.5,2.5,800000
total time: 23.88 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:12 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 12 秒 (日本時間)
4511e6785 / 4409585CypJune 10, 2015 05:00:17 UTC 2015 年 6 月 10 日 (水) 14 時 0 分 17 秒 (日本時間)
200Dmitry DomanovDecember 21, 2015 11:09:40 UTC 2015 年 12 月 21 日 (月) 20 時 9 分 40 秒 (日本時間)

163×10189-19

c184

name 名前Dmitry Domanov
date 日付December 21, 2015 12:15:26 UTC 2015 年 12 月 21 日 (月) 21 時 15 分 26 秒 (日本時間)
composite number 合成数
1251317904522156199465324909952515095634350660163467718504537535894495507043265452714803668873308215314287184721337759252438425160069469178124650777708279734896556427632013443975323059<184>
prime factors 素因数
78072286177458108813813793535494690296439<41>
16027683647919746715747486769330248152848155778212687680516655794438784046382651943774546348106466616293974126577388652158855189656655675228581<143>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=288777846
Step 1 took 82022ms
Step 2 took 30602ms
********** Factor found in step 2: 78072286177458108813813793535494690296439
Found probable prime factor of 41 digits: 78072286177458108813813793535494690296439

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 10, 2014 10:31:14 UTC 2014 年 12 月 10 日 (水) 19 時 31 分 14 秒 (日本時間)
4511e6791 / 4413591CypJuly 29, 2015 06:47:04 UTC 2015 年 7 月 29 日 (水) 15 時 47 分 4 秒 (日本時間)
200Dmitry DomanovDecember 21, 2015 11:10:06 UTC 2015 年 12 月 21 日 (月) 20 時 10 分 6 秒 (日本時間)

163×10190-19

c162

name 名前Cyp
date 日付January 31, 2015 18:24:45 UTC 2015 年 2 月 1 日 (日) 3 時 24 分 45 秒 (日本時間)
composite number 合成数
123615524084963199246982725433336446865143044345223485008778356023155316935499248076118938868622975993414371851224137718268392752472380931669518435130210199433711<162>
prime factors 素因数
24539076647937661089838109161275077<35>
composite cofactor 合成数の残り
5037496962843230095345770383639923217111220645005635275452060268483225463170064536132215192941448733239799274014777682204670243<127>
factorization results 素因数分解の結果
Run 27 out of 591:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3091273511
Step 1 took 49745ms
Step 2 took 16823ms
********** Factor found in step 2: 24539076647937661089838109161275077
Found probable prime factor of 35 digits: 24539076647937661089838109161275077
Composite cofactor 5037496962843230095345770383639923217111220645005635275452060268483225463170064536132215192941448733239799274014777682204670243 has 127 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c127

name 名前Erik Branger
date 日付February 9, 2015 07:08:59 UTC 2015 年 2 月 9 日 (月) 16 時 8 分 59 秒 (日本時間)
composite number 合成数
5037496962843230095345770383639923217111220645005635275452060268483225463170064536132215192941448733239799274014777682204670243<127>
prime factors 素因数
1007945160223561957741109352663132978798581368365103407777123097<64>
4997788730614981734078698570026235921416061578990344326274296219<64>
factorization results 素因数分解の結果
Number: 18111_190
N = 5037496962843230095345770383639923217111220645005635275452060268483225463170064536132215192941448733239799274014777682204670243 (127 digits)
Divisors found:
r1=1007945160223561957741109352663132978798581368365103407777123097 (pp64)
r2=4997788730614981734078698570026235921416061578990344326274296219 (pp64)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 34.59 hours.
Factorization parameters were as follows:
# Murphy_E = 1.108e-10, selected by Maksym Voznyy
n: 5037496962843230095345770383639923217111220645005635275452060268483225463170064536132215192941448733239799274014777682204670243
Y0: -6092769350952102589033322
Y1: 9532369195129
c0: -62591717156546726243398587105465
c1: 153746341737466341342469336
c2: 2425345891450787671697
c3: -4316488168041896
c4: -8955315232
c5: 600
skew: 565671.72
type: gnfs
# selected mechanically
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 17070424
Relations: 1944400 relations
Pruned matrix : 1139206 x 1139434
Polynomial selection time: 0.00 hours.
Total sieving time: 33.61 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.79 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: gnfs,126,5,65,2000,1e-05,0.28,250,20,50000,3600,8000000,8000000,28,28,53,53,2.5,2.5,100000
total time: 34.59 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 7, 2014 11:43:03 UTC 2014 年 12 月 7 日 (日) 20 時 43 分 3 秒 (日本時間)
4511e6591 / 4413CypJanuary 31, 2015 18:24:44 UTC 2015 年 2 月 1 日 (日) 3 時 24 分 44 秒 (日本時間)

163×10191-19

c142

name 名前Cyp
date 日付January 25, 2015 18:14:28 UTC 2015 年 1 月 26 日 (月) 3 時 14 分 28 秒 (日本時間)
composite number 合成数
4765973935488878025533531465751141593031099378933646104496643025633901721443835783579664829872824919620395103802020191161222365672415568452203<142>
prime factors 素因数
687061058428107501108527580376001890141<39>
6936754567916729988296813389548054389140120038373651349731269661502508049621829172892374814123556500583<103>
factorization results 素因数分解の結果
Run 113 out of 591:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2975635402
Step 1 took 41769ms
Step 2 took 14654ms
********** Factor found in step 2: 687061058428107501108527580376001890141
Found probable prime factor of 39 digits: 687061058428107501108527580376001890141
Probable prime cofactor 6936754567916729988296813389548054389140120038373651349731269661502508049621829172892374814123556500583 has 103 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280 / 1928CypDecember 9, 2014 17:44:37 UTC 2014 年 12 月 10 日 (水) 2 時 44 分 37 秒 (日本時間)
4511e6113 / 4413CypJanuary 25, 2015 18:14:28 UTC 2015 年 1 月 26 日 (月) 3 時 14 分 28 秒 (日本時間)

163×10192-19

c141

name 名前Cyp
date 日付June 14, 2015 00:30:34 UTC 2015 年 6 月 14 日 (日) 9 時 30 分 34 秒 (日本時間)
composite number 合成数
531397734034959244048353364541000809920600946832121557148766218598184820598340296267188770465686955951795745004701903109604709636170536856707<141>
prime factors 素因数
25001032975992325184112589847003827351<38>
composite cofactor 合成数の残り
21255031123923684252289858317787576044337410221607548517129651536326062990313777981338277461693212352757<104>
factorization results 素因数分解の結果
Run 294 out of 591:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2145491828
Step 1 took 42293ms
Step 2 took 15040ms
********** Factor found in step 2: 25001032975992325184112589847003827351
Found probable prime factor of 38 digits: 25001032975992325184112589847003827351
Composite cofactor 21255031123923684252289858317787576044337410221607548517129651536326062990313777981338277461693212352757 has 104 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c104

name 名前Dmitry Domanov
date 日付June 14, 2015 21:25:40 UTC 2015 年 6 月 15 日 (月) 6 時 25 分 40 秒 (日本時間)
composite number 合成数
21255031123923684252289858317787576044337410221607548517129651536326062990313777981338277461693212352757<104>
prime factors 素因数
371916018985212099935762771758483323591231469606873<51>
57150082381283001308978831855028490054767842567773309<53>
factorization results 素因数分解の結果
N=21255031123923684252289858317787576044337410221607548517129651536326062990313777981338277461693212352757
  ( 104 digits)
Divisors found:
 r1=371916018985212099935762771758483323591231469606873 (pp51)
 r2=57150082381283001308978831855028490054767842567773309 (pp53)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 4.23 hours.
Scaled time: 7.59 units (timescale=1.796).
Factorization parameters were as follows:
n: 21255031123923684252289858317787576044337410221607548517129651536326062990313777981338277461693212352757
skew: 1826011.01
c0: 9058620632146927715017417240
c1: -7474429434859718380242
c2: -67386283659410059
c3: 5824491306
c4: 6600
Y0: -7533194596287854199210981
Y1: 20931451099969
rlim: 2360000
alim: 2360000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 2360000/2360000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1180000, 1680001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 311310 x 311542
Total sieving time: 4.03 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,103,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2360000,2360000,26,26,52,52,2.5,2.5,100000
total time: 4.23 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 KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 8, 2014 18:08:33 UTC 2014 年 12 月 9 日 (火) 3 時 8 分 33 秒 (日本時間)
4511e6591 / 4413CypJune 14, 2015 00:30:34 UTC 2015 年 6 月 14 日 (日) 9 時 30 分 34 秒 (日本時間)

163×10193-19

c164

name 名前Jo Yeong Uk
date 日付February 14, 2017 10:36:48 UTC 2017 年 2 月 14 日 (火) 19 時 36 分 48 秒 (日本時間)
composite number 合成数
47846167899892508023905925961702384874164770639336489164121081323759177404965970452652204038337712398197489928026110231796287981147375878472439405220041017575816617<164>
prime factors 素因数
34705389680116638274617074059217155417<38>
35225916385893687602904529887950030931718103872928136829309<59>
39137036285598197848107831692676833173375971147263214824955842933989<68>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 47846167899892508023905925961702384874164770639336489164121081323759177404965970452652204038337712398197489928026110231796287981147375878472439405220041017575816617 (164 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=543319479
Step 1 took 29552ms
Step 2 took 9819ms
********** Factor found in step 2: 34705389680116638274617074059217155417
Found probable prime factor of 38 digits: 34705389680116638274617074059217155417
Composite cofactor 1378637967788169381246997269286392623208828843091304111956037177864941357523139347824600939430668481574164980812093962247483601 has 127 digits

Number: 18111_193
N=1378637967788169381246997269286392623208828843091304111956037177864941357523139347824600939430668481574164980812093962247483601
  ( 127 digits)
Divisors found:
 r1=35225916385893687602904529887950030931718103872928136829309
 r2=39137036285598197848107831692676833173375971147263214824955842933989
Version: 
Total time: 40.78 hours.
Scaled time: 213.82 units (timescale=5.243).
Factorization parameters were as follows:
name: 18111_193
n: 1378637967788169381246997269286392623208828843091304111956037177864941357523139347824600939430668481574164980812093962247483601
skew: 225562.73
# norm 3.05e+17
c5: 38700
c4: -24077872365
c3: -4619353216488285
c2: 1065863264213179907449
c1: 115576115127147666783904714
c0: -7408223579314668305133840221760
# alpha -6.19
Y1: 14358058572467
Y0: -2043375743657395277387621
# Murphy_E 1.22e-10
# M 396163044394501446645118683397382443041734173158226396720661489095713930314064086876283815175691333127928014138757823301296759
type: gnfs
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [4000000, 7400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19088159
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1260649 x 1260897
Polynomial selection time: 6.86 hours.
Total sieving time: 30.03 hours.
Total relation processing time: 1.59 hours.
Matrix solve time: 1.81 hours.
Time per square root: 0.49 hours.
Prototype def-par.txt line would be:
gnfs,126,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,8000000,8000000,28,28,55,55,2.5,2.5,100000
total time: 40.78 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GMP-ECM v6.4.4 / GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:12 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 12 秒 (日本時間)
4511e6785 / 4409585CypJune 5, 2015 15:17:44 UTC 2015 年 6 月 6 日 (土) 0 時 17 分 44 秒 (日本時間)
200Dmitry DomanovDecember 21, 2015 11:10:23 UTC 2015 年 12 月 21 日 (月) 20 時 10 分 23 秒 (日本時間)

163×10194-19

c140

name 名前Cyp
date 日付December 10, 2014 01:24:13 UTC 2014 年 12 月 10 日 (水) 10 時 24 分 13 秒 (日本時間)
composite number 合成数
28695193745419282422058108055752251904018271417017686491841515810356730123192674153072982969266494819737273393539976387920791738683071593499<140>
prime factors 素因数
296066062274674902772579496478019<33>
composite cofactor 合成数の残り
96921590826568138989219141381788997596006410906608937499387333890184835130905383479660820967679841434702921<107>
factorization results 素因数分解の結果
Run 9 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2033648182
Step 1 took 11446ms
Step 2 took 4298ms
********** Factor found in step 2: 296066062274674902772579496478019
Found probable prime factor of 33 digits: 296066062274674902772579496478019
Composite cofactor 96921590826568138989219141381788997596006410906608937499387333890184835130905383479660820967679841434702921 has 107 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c107

name 名前Cyp
date 日付December 10, 2014 22:41:46 UTC 2014 年 12 月 11 日 (木) 7 時 41 分 46 秒 (日本時間)
composite number 合成数
96921590826568138989219141381788997596006410906608937499387333890184835130905383479660820967679841434702921<107>
prime factors 素因数
1184141893908172533767133081416988070343<40>
81849642618998652101559262225965752159368263285104497253337453537647<68>
factorization results 素因数分解の結果
12/10/14 22:30:35 v1.34.3, 
12/10/14 22:30:35 v1.34.3, ****************************
12/10/14 22:30:35 v1.34.3, Starting factorization of 96921590826568138989219141381788997596006410906608937499387333890184835130905383479660820967679841434702921
12/10/14 22:30:35 v1.34.3, using pretesting plan: none
12/10/14 22:30:35 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/10/14 22:30:35 v1.34.3, ****************************
12/10/14 22:30:35 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C107
12/10/14 22:30:35 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C107
12/10/14 22:30:35 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C107
12/10/14 22:30:35 v1.34.3, final ECM pretested depth: 0.00
12/10/14 22:30:35 v1.34.3, scheduler: switching to sieve method
12/10/14 22:30:35 v1.34.3, nfs: commencing nfs on c107: 96921590826568138989219141381788997596006410906608937499387333890184835130905383479660820967679841434702921
12/10/14 22:30:35 v1.34.3, nfs: commencing poly selection with 8 threads
12/10/14 22:30:35 v1.34.3, nfs: setting deadline of 330 seconds
12/10/14 22:37:38 v1.34.3, nfs: completed 56 ranges of size 250 in 423.0240 seconds
12/10/14 22:37:38 v1.34.3, nfs: best poly = # norm 1.085162e-14 alpha -6.256165 e 4.082e-09 rroots 2
12/10/14 22:37:38 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/10/14 22:39:36 v1.34.3, nfs: commencing lattice sieving with 8 threads
[21 lines snipped]
12/10/14 23:19:18 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/10/14 23:21:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/10/14 23:22:45 v1.34.3, nfs: commencing msieve filtering
12/10/14 23:23:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/10/14 23:25:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/10/14 23:26:56 v1.34.3, nfs: commencing msieve filtering
12/10/14 23:27:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/10/14 23:29:33 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/10/14 23:31:17 v1.34.3, nfs: commencing msieve filtering
12/10/14 23:32:06 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/10/14 23:33:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/10/14 23:35:45 v1.34.3, nfs: commencing msieve filtering
12/10/14 23:36:50 v1.34.3, nfs: commencing msieve linear algebra
12/10/14 23:41:04 v1.34.3, nfs: commencing msieve sqrt
12/10/14 23:41:45 v1.34.3, prp68 = 81849642618998652101559262225965752159368263285104497253337453537647
12/10/14 23:41:45 v1.34.3, prp40 = 1184141893908172533767133081416988070343
12/10/14 23:41:45 v1.34.3, NFS elapsed time = 4270.2099 seconds.
12/10/14 23:41:45 v1.34.3, 
12/10/14 23:41:45 v1.34.3, 
12/10/14 23:41:45 v1.34.3, Total factoring time = 4270.2435 seconds
--
Wed Dec 10 23:22:45 2014  
Wed Dec 10 23:22:45 2014  commencing relation filtering
Wed Dec 10 23:22:45 2014  estimated available RAM is 15987.3 MB
Wed Dec 10 23:22:45 2014  commencing duplicate removal, pass 1
Wed Dec 10 23:22:59 2014  found 499716 hash collisions in 4617409 relations
Wed Dec 10 23:23:02 2014  added 158659 free relations
Wed Dec 10 23:23:02 2014  commencing duplicate removal, pass 2
Wed Dec 10 23:23:06 2014  found 277682 duplicates and 4498386 unique relations
Wed Dec 10 23:23:06 2014  memory use: 20.6 MB
Wed Dec 10 23:23:06 2014  reading ideals above 100000
Wed Dec 10 23:23:06 2014  commencing singleton removal, initial pass
Wed Dec 10 23:23:24 2014  memory use: 172.2 MB
Wed Dec 10 23:23:24 2014  reading all ideals from disk
Wed Dec 10 23:23:24 2014  memory use: 146.3 MB
Wed Dec 10 23:23:25 2014  keeping 5552063 ideals with weight <= 200, target excess is 21464
Wed Dec 10 23:23:25 2014  commencing in-memory singleton removal
Wed Dec 10 23:23:25 2014  begin with 4498386 relations and 5552063 unique ideals
Wed Dec 10 23:23:26 2014  reduce to 429 relations and 0 ideals in 51 passes
Wed Dec 10 23:23:26 2014  max relations containing the same ideal: 0
Wed Dec 10 23:26:56 2014  
Wed Dec 10 23:26:56 2014  commencing relation filtering
Wed Dec 10 23:26:56 2014  estimated available RAM is 15987.3 MB
Wed Dec 10 23:26:56 2014  commencing duplicate removal, pass 1
Wed Dec 10 23:27:13 2014  found 590813 hash collisions in 5150863 relations
Wed Dec 10 23:27:17 2014  added 1089 free relations
Wed Dec 10 23:27:17 2014  commencing duplicate removal, pass 2
Wed Dec 10 23:27:21 2014  found 318533 duplicates and 4833419 unique relations
Wed Dec 10 23:27:21 2014  memory use: 20.6 MB
Wed Dec 10 23:27:21 2014  reading ideals above 100000
Wed Dec 10 23:27:21 2014  commencing singleton removal, initial pass
Wed Dec 10 23:27:41 2014  memory use: 172.2 MB
Wed Dec 10 23:27:41 2014  reading all ideals from disk
Wed Dec 10 23:27:41 2014  memory use: 157.3 MB
Wed Dec 10 23:27:41 2014  keeping 5709088 ideals with weight <= 200, target excess is 22972
Wed Dec 10 23:27:42 2014  commencing in-memory singleton removal
Wed Dec 10 23:27:42 2014  begin with 4833419 relations and 5709088 unique ideals
Wed Dec 10 23:27:43 2014  reduce to 1228157 relations and 1326219 ideals in 28 passes
Wed Dec 10 23:27:43 2014  max relations containing the same ideal: 76
Wed Dec 10 23:31:17 2014  
Wed Dec 10 23:31:17 2014  commencing relation filtering
Wed Dec 10 23:31:17 2014  estimated available RAM is 15987.3 MB
Wed Dec 10 23:31:17 2014  commencing duplicate removal, pass 1
Wed Dec 10 23:31:34 2014  found 668520 hash collisions in 5532486 relations
Wed Dec 10 23:31:38 2014  added 902 free relations
Wed Dec 10 23:31:38 2014  commencing duplicate removal, pass 2
Wed Dec 10 23:31:42 2014  found 361960 duplicates and 5171428 unique relations
Wed Dec 10 23:31:42 2014  memory use: 20.6 MB
Wed Dec 10 23:31:42 2014  reading ideals above 100000
Wed Dec 10 23:31:42 2014  commencing singleton removal, initial pass
Wed Dec 10 23:32:03 2014  memory use: 172.2 MB
Wed Dec 10 23:32:04 2014  reading all ideals from disk
Wed Dec 10 23:32:04 2014  memory use: 168.4 MB
Wed Dec 10 23:32:04 2014  keeping 5854936 ideals with weight <= 200, target excess is 24604
Wed Dec 10 23:32:04 2014  commencing in-memory singleton removal
Wed Dec 10 23:32:04 2014  begin with 5171428 relations and 5854936 unique ideals
Wed Dec 10 23:32:06 2014  reduce to 1733785 relations and 1732316 ideals in 23 passes
Wed Dec 10 23:32:06 2014  max relations containing the same ideal: 99
Wed Dec 10 23:35:45 2014  
Wed Dec 10 23:35:45 2014  commencing relation filtering
Wed Dec 10 23:35:45 2014  estimated available RAM is 15987.3 MB
Wed Dec 10 23:35:45 2014  commencing duplicate removal, pass 1
Wed Dec 10 23:36:02 2014  found 748311 hash collisions in 5908249 relations
Wed Dec 10 23:36:06 2014  added 682 free relations
Wed Dec 10 23:36:06 2014  commencing duplicate removal, pass 2
Wed Dec 10 23:36:10 2014  found 406653 duplicates and 5502278 unique relations
Wed Dec 10 23:36:10 2014  memory use: 20.6 MB
Wed Dec 10 23:36:10 2014  reading ideals above 100000
Wed Dec 10 23:36:10 2014  commencing singleton removal, initial pass
Wed Dec 10 23:36:33 2014  memory use: 172.2 MB
Wed Dec 10 23:36:34 2014  reading all ideals from disk
Wed Dec 10 23:36:34 2014  memory use: 179.3 MB
Wed Dec 10 23:36:34 2014  keeping 5985870 ideals with weight <= 200, target excess is 26190
Wed Dec 10 23:36:34 2014  commencing in-memory singleton removal
Wed Dec 10 23:36:35 2014  begin with 5502278 relations and 5985870 unique ideals
Wed Dec 10 23:36:36 2014  reduce to 2203024 relations and 2079889 ideals in 18 passes
Wed Dec 10 23:36:36 2014  max relations containing the same ideal: 112
Wed Dec 10 23:36:37 2014  removing 377715 relations and 331338 ideals in 46377 cliques
Wed Dec 10 23:36:37 2014  commencing in-memory singleton removal
Wed Dec 10 23:36:37 2014  begin with 1825309 relations and 2079889 unique ideals
Wed Dec 10 23:36:37 2014  reduce to 1768479 relations and 1690048 ideals in 10 passes
Wed Dec 10 23:36:37 2014  max relations containing the same ideal: 96
Wed Dec 10 23:36:38 2014  removing 282875 relations and 236498 ideals in 46377 cliques
Wed Dec 10 23:36:38 2014  commencing in-memory singleton removal
Wed Dec 10 23:36:38 2014  begin with 1485604 relations and 1690048 unique ideals
Wed Dec 10 23:36:38 2014  reduce to 1446350 relations and 1413227 ideals in 8 passes
Wed Dec 10 23:36:38 2014  max relations containing the same ideal: 86
Wed Dec 10 23:36:39 2014  relations with 0 large ideals: 516
Wed Dec 10 23:36:39 2014  relations with 1 large ideals: 203
Wed Dec 10 23:36:39 2014  relations with 2 large ideals: 3263
Wed Dec 10 23:36:39 2014  relations with 3 large ideals: 27887
Wed Dec 10 23:36:39 2014  relations with 4 large ideals: 123868
Wed Dec 10 23:36:39 2014  relations with 5 large ideals: 323473
Wed Dec 10 23:36:39 2014  relations with 6 large ideals: 434542
Wed Dec 10 23:36:39 2014  relations with 7+ large ideals: 532598
Wed Dec 10 23:36:39 2014  commencing 2-way merge
Wed Dec 10 23:36:39 2014  reduce to 830074 relation sets and 796951 unique ideals
Wed Dec 10 23:36:39 2014  commencing full merge
Wed Dec 10 23:36:47 2014  memory use: 92.3 MB
Wed Dec 10 23:36:47 2014  found 400252 cycles, need 395151
Wed Dec 10 23:36:47 2014  weight of 395151 cycles is about 27713741 (70.13/cycle)
Wed Dec 10 23:36:47 2014  distribution of cycle lengths:
Wed Dec 10 23:36:47 2014  1 relations: 44765
Wed Dec 10 23:36:47 2014  2 relations: 42208
Wed Dec 10 23:36:47 2014  3 relations: 40422
Wed Dec 10 23:36:47 2014  4 relations: 37746
Wed Dec 10 23:36:47 2014  5 relations: 34615
Wed Dec 10 23:36:47 2014  6 relations: 30454
Wed Dec 10 23:36:47 2014  7 relations: 26385
Wed Dec 10 23:36:47 2014  8 relations: 23831
Wed Dec 10 23:36:47 2014  9 relations: 20720
Wed Dec 10 23:36:47 2014  10+ relations: 94005
Wed Dec 10 23:36:47 2014  heaviest cycle: 25 relations
Wed Dec 10 23:36:47 2014  commencing cycle optimization
Wed Dec 10 23:36:47 2014  start with 2576112 relations
Wed Dec 10 23:36:50 2014  pruned 58587 relations
Wed Dec 10 23:36:50 2014  memory use: 83.9 MB
Wed Dec 10 23:36:50 2014  distribution of cycle lengths:
Wed Dec 10 23:36:50 2014  1 relations: 44765
Wed Dec 10 23:36:50 2014  2 relations: 43055
Wed Dec 10 23:36:50 2014  3 relations: 41653
Wed Dec 10 23:36:50 2014  4 relations: 38634
Wed Dec 10 23:36:50 2014  5 relations: 35425
Wed Dec 10 23:36:50 2014  6 relations: 30903
Wed Dec 10 23:36:50 2014  7 relations: 26814
Wed Dec 10 23:36:50 2014  8 relations: 23782
Wed Dec 10 23:36:50 2014  9 relations: 20766
Wed Dec 10 23:36:50 2014  10+ relations: 89354
Wed Dec 10 23:36:50 2014  heaviest cycle: 24 relations
Wed Dec 10 23:36:50 2014  RelProcTime: 65
Wed Dec 10 23:36:50 2014  
Wed Dec 10 23:36:50 2014  commencing linear algebra
Wed Dec 10 23:36:50 2014  read 395151 cycles
Wed Dec 10 23:36:50 2014  cycles contain 1392095 unique relations
Wed Dec 10 23:36:57 2014  read 1392095 relations
Wed Dec 10 23:36:58 2014  using 20 quadratic characters above 67108332
Wed Dec 10 23:37:02 2014  building initial matrix
Wed Dec 10 23:37:09 2014  memory use: 174.5 MB
Wed Dec 10 23:37:09 2014  read 395151 cycles
Wed Dec 10 23:37:09 2014  matrix is 394976 x 395151 (117.9 MB) with weight 37941948 (96.02/col)
Wed Dec 10 23:37:09 2014  sparse part has weight 26555299 (67.20/col)
Wed Dec 10 23:37:11 2014  filtering completed in 2 passes
Wed Dec 10 23:37:11 2014  matrix is 394292 x 394470 (117.8 MB) with weight 37911160 (96.11/col)
Wed Dec 10 23:37:11 2014  sparse part has weight 26545495 (67.29/col)
Wed Dec 10 23:37:11 2014  matrix starts at (0, 0)
Wed Dec 10 23:37:11 2014  matrix is 394292 x 394470 (117.8 MB) with weight 37911160 (96.11/col)
Wed Dec 10 23:37:11 2014  sparse part has weight 26545495 (67.29/col)
Wed Dec 10 23:37:11 2014  saving the first 48 matrix rows for later
Wed Dec 10 23:37:11 2014  matrix includes 64 packed rows
Wed Dec 10 23:37:11 2014  matrix is 394244 x 394470 (113.9 MB) with weight 29939701 (75.90/col)
Wed Dec 10 23:37:11 2014  sparse part has weight 25904311 (65.67/col)
Wed Dec 10 23:37:11 2014  using block size 65536 for processor cache size 8192 kB
Wed Dec 10 23:37:12 2014  commencing Lanczos iteration (8 threads)
Wed Dec 10 23:37:12 2014  memory use: 107.9 MB
Wed Dec 10 23:37:20 2014  linear algebra at 3.1%, ETA 0h 4m
Wed Dec 10 23:41:04 2014  lanczos halted after 6238 iterations (dim = 394244)
Wed Dec 10 23:41:04 2014  recovered 34 nontrivial dependencies
Wed Dec 10 23:41:04 2014  BLanczosTime: 254
Wed Dec 10 23:41:04 2014  
Wed Dec 10 23:41:04 2014  commencing square root phase
Wed Dec 10 23:41:04 2014  reading relations for dependency 1
Wed Dec 10 23:41:04 2014  read 197431 cycles
Wed Dec 10 23:41:05 2014  cycles contain 696328 unique relations
Wed Dec 10 23:41:10 2014  read 696328 relations
Wed Dec 10 23:41:11 2014  multiplying 696328 relations
Wed Dec 10 23:41:27 2014  multiply complete, coefficients have about 30.63 million bits
Wed Dec 10 23:41:27 2014  initial square root is modulo 626332871
Wed Dec 10 23:41:45 2014  sqrtTime: 41
--
n: 96921590826568138989219141381788997596006410906608937499387333890184835130905383479660820967679841434702921
skew: 6087747.80
c0: -2481377462504268880927173969731
c1: 996398516624546128957121
c2: 97698668976729719
c3: -10282499489
c4: 5100
Y0: -66025676117783100930256164
Y1: 80756802461491
rlim: 2780000
alim: 2780000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280 / 2318CypDecember 10, 2014 01:24:13 UTC 2014 年 12 月 10 日 (水) 10 時 24 分 13 秒 (日本時間)

163×10195-19

c196

name 名前Robert Backstrom
date 日付January 7, 2015 04:54:25 UTC 2015 年 1 月 7 日 (水) 13 時 54 分 25 秒 (日本時間)
composite number 合成数
6037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<196>
prime factors 素因数
245602884861376705815293957048582773426478203998832489157332457<63>
1591160460293384864826547814277145056886117807377268713610464023<64>
15448147174002290616002901648394587483275719451191936205443467351536867<71>
factorization results 素因数分解の結果
Number: n
N=6037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037
  ( 196 digits)
SNFS difficulty: 197 digits.
Divisors found:

Wed Jan  7 15:49:49 2015  prp63 factor: 245602884861376705815293957048582773426478203998832489157332457
Wed Jan  7 15:49:49 2015  prp64 factor: 1591160460293384864826547814277145056886117807377268713610464023
Wed Jan  7 15:49:49 2015  prp71 factor: 15448147174002290616002901648394587483275719451191936205443467351536867
Wed Jan  7 15:49:49 2015  elapsed time 02:00:42 (Msieve 1.44 - dependency 7)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.267).
Factorization parameters were as follows:
#
#  N = 163*10^195-1 181(195)
#
n: 6037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037
m: 1000000000000000000000000000000000000000
deg: 5
c5: 163
c0: -1
skew: 0.36
# Murphy_E = 2.342e-11
type: snfs
lss: 1
rlim: 13600000
alim: 13600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13600000/13600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18000000)
Primes: RFBsize:885698, AFBsize:885053,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4868014 hash collisions in 34480229 relations (31472099 unique)
Msieve: matrix is 1480579 x 1480805 (416.5 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 1hrs 28min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 23min 31sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13600000,13600000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.038918] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03)
[    0.000000] Memory: 16059668K/16661464K available (7375K kernel code, 1160K rwdata, 3228K rodata, 1468K init, 1504K bss, 601796K reserved)
[    1.117641] [drm] Memory usable by graphics device = 2048M
[    0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7200.23 BogoMIPS (lpj=3600117)
[    0.136797] smpboot: Total of 8 processors activated (57601.87 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:35 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 35 秒 (日本時間)

163×10196-19

c174

name 名前Cyp
date 日付May 10, 2015 14:26:43 UTC 2015 年 5 月 10 日 (日) 23 時 26 分 43 秒 (日本時間)
composite number 合成数
554109040168533953546570937249436248699055321085914337917073526465238390434962940621506937366564187182205651855993992015328802926443630498958681157064558207535972591879672573<174>
prime factors 素因数
2748813901511325446687468324435129719073<40>
201581140092415585846910852035107332930896103345787445336810450254016951024006534823764905199358263861893505008443598840089033810129501<135>
factorization results 素因数分解の結果
Run 109 out of 591:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3414978871
Step 1 took 61657ms
Step 2 took 19409ms
********** Factor found in step 2: 2748813901511325446687468324435129719073
Found probable prime factor of 40 digits: 2748813901511325446687468324435129719073
Probable prime cofactor 201581140092415585846910852035107332930896103345787445336810450254016951024006534823764905199358263861893505008443598840089033810129501 has 135 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280 / 1942CypDecember 8, 2014 04:11:04 UTC 2014 年 12 月 8 日 (月) 13 時 11 分 4 秒 (日本時間)
4511e6109 / 4413CypMay 10, 2015 14:26:43 UTC 2015 年 5 月 10 日 (日) 23 時 26 分 43 秒 (日本時間)

163×10197-19

c163

name 名前Serge Batalov
date 日付June 10, 2015 16:55:26 UTC 2015 年 6 月 11 日 (木) 1 時 55 分 26 秒 (日本時間)
composite number 合成数
7276827480225226783738121103116593222581922209044441569391759742380223889372682294893444632783485779913303660755646961037181106138853044405309179119437426241228013<163>
prime factors 素因数
1609689347615085241373929154279299441<37>
4520640887017467037123983150579158671917098047639684870739703552310042428355122663173444861169252606570341474677107233087180093<127>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3367054961
Step 1 took 8148ms
Step 2 took 3945ms
********** Factor found in step 2: 1609689347615085241373929154279299441
Found probable prime factor of 37 digits: 1609689347615085241373929154279299441
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280 / 2318CypDecember 9, 2014 00:38:27 UTC 2014 年 12 月 9 日 (火) 9 時 38 分 27 秒 (日本時間)

163×10198-19

c140

name 名前Jo Yeong Uk
date 日付February 19, 2018 03:21:59 UTC 2018 年 2 月 19 日 (月) 12 時 21 分 59 秒 (日本時間)
composite number 合成数
45470625098624937063366917783300234684891182230671330589373001127749057548842868949671022695937814086554118686269847878117698785235295972689<140>
prime factors 素因数
222083896564904023960771167033253670454806619709<48>
204745259795710337853027612542353900978854736017195639094814627261961165618438590688615213221<93>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 45470625098624937063366917783300234684891182230671330589373001127749057548842868949671022695937814086554118686269847878117698785235295972689 (140 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1323891218
Step 1 took 25355ms
Step 2 took 8673ms
********** Factor found in step 2: 222083896564904023960771167033253670454806619709
Found probable prime factor of 48 digits: 222083896564904023960771167033253670454806619709
Probable prime cofactor 204745259795710337853027612542353900978854736017195639094814627261961165618438590688615213221 has 93 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:13 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 13 秒 (日本時間)
4511e61385 / 4409585CypJune 16, 2015 15:42:46 UTC 2015 年 6 月 17 日 (水) 0 時 42 分 46 秒 (日本時間)
800Dmitry DomanovOctober 26, 2015 18:19:29 UTC 2015 年 10 月 27 日 (火) 3 時 19 分 29 秒 (日本時間)

163×10199-19

c201

name 名前Robert Backstrom
date 日付December 11, 2014 00:17:18 UTC 2014 年 12 月 11 日 (木) 9 時 17 分 18 秒 (日本時間)
composite number 合成数
181111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<201>
prime factors 素因数
560123286940400029007534643179101<33>
422943409625474559851908884108758278933004495388704442734038050426983157471555569<81>
764503017950192393057234059453063149573606591440928178521183456579091138087500476870819<87>
factorization results 素因数分解の結果
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 181111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (201 digits)
Using B1=10122000, B2=35133066160, polynomial Dickson(12), sigma=1:1197798783
Step 1 took 114484ms
Step 2 took 41969ms
********** Factor found in step 2: 560123286940400029007534643179101
Found probable prime factor of 33 digits: 560123286940400029007534643179101
Composite cofactor 323341513080819751583347089148341740695150905526412525050784666508007875388621046157133007493711711125163726095467845266134131919243182646188091639966636954173393041011 has 168 digits




Number: n
N=181111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
  ( 201 digits)
SNFS difficulty: 201 digits.
Divisors found:

Thu Dec 11 04:38:17 2014  prp33 factor: 560123286940400029007534643179101
Thu Dec 11 04:38:17 2014  prp81 factor: 422943409625474559851908884108758278933004495388704442734038050426983157471555569
Thu Dec 11 04:38:17 2014  prp87 factor: 764503017950192393057234059453063149573606591440928178521183456579091138087500476870819
Thu Dec 11 04:38:17 2014  elapsed time 03:48:51 (Msieve 1.44 - dependency 5)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.299).
Factorization parameters were as follows:
#

#  N = (163*10^199-1)/9  181(199)

#

n: 181111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111

m: 5000000000000000000000000000000000000000

deg: 5

c5: 2608

c0: -5

skew: 0.29

# Murphy_E = 1.07e-11

type: snfs

lss: 1

rlim: 16200000

alim: 16200000

lpbr: 29

lpba: 29

mfbr: 56
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 36100000)
Primes: RFBsize:1043113, AFBsize:1044555,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 12725405 hash collisions in 79065807 relations (67702034 unique)
Msieve: matrix is 1903873 x 1904107 (534.5 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 2hrs 54min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 27min 53sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16200000,16200000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.038567] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03)
[    0.000000] Memory: 16059648K/16661464K available (7373K kernel code, 1159K rwdata, 3228K rodata, 1468K init, 1504K bss, 601816K reserved)
[    1.136330] [drm] Memory usable by graphics device = 2048M
[    0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7200.63 BogoMIPS (lpj=3600319)
[    0.136557] smpboot: Total of 8 processors activated (57605.10 BogoMIPS)
mfba: 56

rlambda: 2.6

alambda: 2.6

Factor base limits: 16200000/16200000

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

163×10200-19

c193

name 名前Cyp
date 日付July 28, 2015 18:55:49 UTC 2015 年 7 月 29 日 (水) 3 時 55 分 49 秒 (日本時間)
composite number 合成数
3277578740977456861075149788621014449496840116799208864397581893051072257643086053423226870162063920513698221803120842633289580693425884821636667337321611390268022137546196635365027603005063793<193>
prime factors 素因数
23994718715989509119597794354874070781<38>
composite cofactor 合成数の残り
136595839266636472109262586344014524549402612992857014293584812680986652766403698400171913375015564621466510080585366166258303171438532322188055971671000453<156>
factorization results 素因数分解の結果
Run 192 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1966922097
Step 1 took 61642ms
Step 2 took 19046ms
********** Factor found in step 2: 23994718715989509119597794354874070781
Found probable prime factor of 38 digits: 23994718715989509119597794354874070781
Composite cofactor 136595839266636472109262586344014524549402612992857014293584812680986652766403698400171913375015564621466510080585366166258303171438532322188055971671000453 has 156 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c156

name 名前Jo Yeong Uk
date 日付July 29, 2018 08:07:42 UTC 2018 年 7 月 29 日 (日) 17 時 7 分 42 秒 (日本時間)
composite number 合成数
136595839266636472109262586344014524549402612992857014293584812680986652766403698400171913375015564621466510080585366166258303171438532322188055971671000453<156>
prime factors 素因数
27744891303278611397766041330221088515987591560466494916623004761303077129<74>
4923278947951580319802043345868589892495678754451896125373442386526987903840172957<82>
factorization results 素因数分解の結果
Number: 18111_200
N=136595839266636472109262586344014524549402612992857014293584812680986652766403698400171913375015564621466510080585366166258303171438532322188055971671000453
  ( 156 digits)
SNFS difficulty: 202 digits.
Divisors found:
 r1=27744891303278611397766041330221088515987591560466494916623004761303077129
 r2=4923278947951580319802043345868589892495678754451896125373442386526987903840172957
Version: 
Total time: 207.83 hours.
Scaled time: 1092.14 units (timescale=5.255).
Factorization parameters were as follows:
n: 136595839266636472109262586344014524549402612992857014293584812680986652766403698400171913375015564621466510080585366166258303171438532322188055971671000453
m: 10000000000000000000000000000000000000000
deg: 5
c5: 163
c0: -1
skew: 0.36
# Murphy_E = 1.446e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8000000, 15700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 37853499
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3107424 x 3107671
Total sieving time: 188.03 hours.
Total relation processing time: 2.25 hours.
Matrix solve time: 17.31 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000
total time: 207.83 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:13 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 13 秒 (日本時間)
4511e61385 / 3356585CypJuly 28, 2015 18:55:48 UTC 2015 年 7 月 29 日 (水) 3 時 55 分 48 秒 (日本時間)
800Dmitry DomanovOctober 26, 2015 18:18:49 UTC 2015 年 10 月 27 日 (火) 3 時 18 分 49 秒 (日本時間)
5043e6300 / 7231Dmitry DomanovJanuary 24, 2016 00:17:21 UTC 2016 年 1 月 24 日 (日) 9 時 17 分 21 秒 (日本時間)

163×10201-19

c151

name 名前ebina
date 日付March 2, 2023 22:03:44 UTC 2023 年 3 月 3 日 (金) 7 時 3 分 44 秒 (日本時間)
composite number 合成数
6433092802307535953595955181104625250194327118837101212205934614784570148326724116762002515890637239505210180450964081823834198595067320098936182023457<151>
prime factors 素因数
123242425163345827251233321457537067761681282035045725007<57>
52198687211657010234742356295370819319420994395989667678453845971639100165548643366031226078351<95>
factorization results 素因数分解の結果
Number: 18111_201
N = 6433092802307535953595955181104625250194327118837101212205934614784570148326724116762002515890637239505210180450964081823834198595067320098936182023457 (151 digits)
SNFS difficulty: 204 digits.
Divisors found:
r1=123242425163345827251233321457537067761681282035045725007 (pp57)
r2=52198687211657010234742356295370819319420994395989667678453845971639100165548643366031226078351 (pp95)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 29.00 hours.
Factorization parameters were as follows:
n: 6433092802307535953595955181104625250194327118837101212205934614784570148326724116762002515890637239505210180450964081823834198595067320098936182023457
m: 10000000000000000000000000000000000000000
deg: 5
c5: 1630
c0: -1
skew: 0.23
# Murphy_E = 9.282e-12
type: snfs
lss: 1
rlim: 17100000
alim: 17100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17100000/17100000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 39685634
Relations: 6173464 relations
Pruned matrix : 3708091 x 3708316
Total sieving time: 26.33 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.37 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: snfs,204,5,0,0,0,0,0,0,0,0,17100000,17100000,29,29,56,56,2.6,2.6,100000
total time: 29.00 hours.
Intel64 Family 6 Model 158 Stepping 12, GenuineIntel
processors: 16, speed: 3.60GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:14 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 14 秒 (日本時間)
4511e61385585CypJuly 28, 2015 15:42:35 UTC 2015 年 7 月 29 日 (水) 0 時 42 分 35 秒 (日本時間)
800Dmitry DomanovOctober 26, 2015 18:19:14 UTC 2015 年 10 月 27 日 (火) 3 時 19 分 14 秒 (日本時間)
5043e6600 / 6927300Dmitry DomanovJanuary 24, 2016 00:17:41 UTC 2016 年 1 月 24 日 (日) 9 時 17 分 41 秒 (日本時間)
300Dmitry DomanovFebruary 3, 2016 14:34:15 UTC 2016 年 2 月 3 日 (水) 23 時 34 分 15 秒 (日本時間)
5511e7126 / 17466Dmitry DomanovSeptember 6, 2018 22:19:55 UTC 2018 年 9 月 7 日 (金) 7 時 19 分 55 秒 (日本時間)

163×10203-19

c186

name 名前Dmitry Domanov
date 日付February 4, 2016 17:54:23 UTC 2016 年 2 月 5 日 (金) 2 時 54 分 23 秒 (日本時間)
composite number 合成数
846995188669937806583333817194677883326105171880643350998493273286927687544699104168332567223477039055761768835117426075086945816823022050782867590951628236847467560186948743974233946357<186>
prime factors 素因数
2471528521895963133039832166333679039558253273<46>
342700956580581731360747797211808620583477610044879687739145098517059669519214554858274619376295649337715006794503331942907742835005966845309<141>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2271902212
Step 1 took 301096ms
Step 2 took 77508ms
********** Factor found in step 2: 2471528521895963133039832166333679039558253273
Found probable prime factor of 46 digits: 2471528521895963133039832166333679039558253273

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 8, 2014 00:24:19 UTC 2014 年 12 月 8 日 (月) 9 時 24 分 19 秒 (日本時間)
4511e61391 / 2098591CypFebruary 9, 2015 14:06:14 UTC 2015 年 2 月 9 日 (月) 23 時 6 分 14 秒 (日本時間)
800Dmitry DomanovOctober 26, 2015 18:19:49 UTC 2015 年 10 月 27 日 (火) 3 時 19 分 49 秒 (日本時間)
5043e6660 / 7230300Dmitry DomanovJanuary 25, 2016 14:17:31 UTC 2016 年 1 月 25 日 (月) 23 時 17 分 31 秒 (日本時間)
300Dmitry DomanovFebruary 3, 2016 14:33:38 UTC 2016 年 2 月 3 日 (水) 23 時 33 分 38 秒 (日本時間)
60Dmitry DomanovFebruary 3, 2016 14:33:54 UTC 2016 年 2 月 3 日 (水) 23 時 33 分 54 秒 (日本時間)

163×10204-19

c191

name 名前Bob Backstrom
date 日付July 29, 2021 10:49:52 UTC 2021 年 7 月 29 日 (木) 19 時 49 分 52 秒 (日本時間)
composite number 合成数
56834202169759263024706380714415667711517655675720155148788024836794289216036803404826685351548912319329562667871500334429525722479110753117626245124597459225219108324287793133142794768681859<191>
prime factors 素因数
3042163050225811123989300911308162212682582696794793630058852350321<67>
18682168322812487515149715674584028818879067807479029004298097425034555590598717253092678904630161797295171115284038109526579<125>
factorization results 素因数分解の結果
Number: n
N=56834202169759263024706380714415667711517655675720155148788024836794289216036803404826685351548912319329562667871500334429525722479110753117626245124597459225219108324287793133142794768681859
  ( 191 digits)
SNFS difficulty: 206 digits.
Divisors found:

Thu Jul 29 20:36:39 2021  p67 factor: 3042163050225811123989300911308162212682582696794793630058852350321
Thu Jul 29 20:36:39 2021  p125 factor: 18682168322812487515149715674584028818879067807479029004298097425034555590598717253092678904630161797295171115284038109526579
Thu Jul 29 20:36:39 2021  elapsed time 01:59:18 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 163x10^204-1 = 181(204)
#
n: 56834202169759263024706380714415667711517655675720155148788024836794289216036803404826685351548912319329562667871500334429525722479110753117626245124597459225219108324287793133142794768681859
m: 10000000000000000000000000000000000
deg: 6
c6: 163
c0: -1
skew: 0.43
# Murphy_E = 8.41e-12
type: snfs
lss: 1
rlim: 19100000
alim: 19100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19100000/19100000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 43950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8908375 hash collisions in 63955754 relations (56859473 unique)
Msieve: matrix is 2243818 x 2244044 (778.9 MB)

Sieving start time : 2021/07/29 01:18:42
Sieving end time  : 2021/07/29 18:36:03

Total sieving time: 17hrs 17min 21secs.

Total relation processing time: 1hrs 36min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 26sec.

Prototype def-par.txt line would be:
snfs,206,6,0,0,0,0,0,0,0,0,19100000,19100000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119240] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239968K/16727236K available (14339K kernel code, 2400K rwdata, 5012K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved)
[    0.152638] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.25 BogoMIPS (lpj=12798512)
[    0.150211] smpboot: Total of 16 processors activated (102388.09 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:14 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 14 秒 (日本時間)
4511e61385585CypJanuary 29, 2015 06:00:25 UTC 2015 年 1 月 29 日 (木) 15 時 0 分 25 秒 (日本時間)
800Dmitry DomanovOctober 26, 2015 18:20:07 UTC 2015 年 10 月 27 日 (火) 3 時 20 分 7 秒 (日本時間)
5043e6660 / 6992300Dmitry DomanovJanuary 25, 2016 14:17:52 UTC 2016 年 1 月 25 日 (月) 23 時 17 分 52 秒 (日本時間)
360Dmitry DomanovFebruary 4, 2016 17:51:56 UTC 2016 年 2 月 5 日 (金) 2 時 51 分 56 秒 (日本時間)
5511e799 / 17445Dmitry DomanovSeptember 6, 2018 22:17:37 UTC 2018 年 9 月 7 日 (金) 7 時 17 分 37 秒 (日本時間)

163×10205-19

c170

name 名前Bob Backstrom
date 日付June 12, 2024 19:27:33 UTC 2024 年 6 月 13 日 (木) 4 時 27 分 33 秒 (日本時間)
composite number 合成数
53591592165524589422182020050675385810474566709844706034237183530848856659335327001445769960884538325783552655477972573366158784232405302215151825600341549922963357227147<170>
prime factors 素因数
2607455973295088260019569806403914472730793722306378783651917735509462613<73>
20553210759604867246329807591301796575594729552163694888607812780779370912372134182922986687687519<98>
factorization results 素因数分解の結果
Number: n
N=53591592165524589422182020050675385810474566709844706034237183530848856659335327001445769960884538325783552655477972573366158784232405302215151825600341549922963357227147  ( 170 digits)
SNFS difficulty: 207 digits.
Divisors found:

Thu Jun 13 05:07:54 2024  prp73 factor: 2607455973295088260019569806403914472730793722306378783651917735509462613
Thu Jun 13 05:07:54 2024  prp98 factor: 20553210759604867246329807591301796575594729552163694888607812780779370912372134182922986687687519
Thu Jun 13 05:07:54 2024  elapsed time 02:33:00 (Msieve 1.44 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.925).
Factorization parameters were as follows:
#
# N = 163x10^205-1 = 181(205)
#
n: 53591592165524589422182020050675385810474566709844706034237183530848856659335327001445769960884538325783552655477972573366158784232405302215151825600341549922963357227147
m: 100000000000000000000000000000000000000000
deg: 5
c5: 163
c0: -1
skew: 0.36
# Murphy_E = 8.894e-12
type: snfs
lss: 1
rlim: 19900000
alim: 19900000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19900000/19900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 28350000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4197824 hash collisions in 21515848 relations (17618618 unique)
Msieve: matrix is 2170133 x 2170359 (608.7 MB)

Sieving start time: 2024/06/12 09:00:05
Sieving end time  : 2024/06/13 02:34:29

Total sieving time: 17hrs 34min 24secs.

Total relation processing time: 2hrs 21min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 19sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,19900000,19900000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:15 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 15 秒 (日本時間)
4511e61385585CypFebruary 3, 2015 18:00:59 UTC 2015 年 2 月 4 日 (水) 3 時 0 分 59 秒 (日本時間)
800Dmitry DomanovOctober 26, 2015 18:20:19 UTC 2015 年 10 月 27 日 (火) 3 時 20 分 19 秒 (日本時間)
5043e6600 / 6922300Dmitry DomanovJanuary 25, 2016 12:13:04 UTC 2016 年 1 月 25 日 (月) 21 時 13 分 4 秒 (日本時間)
300Dmitry DomanovFebruary 3, 2016 14:30:13 UTC 2016 年 2 月 3 日 (水) 23 時 30 分 13 秒 (日本時間)
5511e7128 / 17466Dmitry DomanovSeptember 6, 2018 22:19:06 UTC 2018 年 9 月 7 日 (金) 7 時 19 分 6 秒 (日本時間)

163×10206-19

c201

name 名前Bob Backstrom
date 日付September 21, 2020 13:42:04 UTC 2020 年 9 月 21 日 (月) 22 時 42 分 4 秒 (日本時間)
composite number 合成数
119861048542540756120702605465203488285946635463967890004559940785994782102945330838958732216012169823163259403112126679803878793242787061751331253648546418959617717083672446344367072299250594163350799<201>
prime factors 素因数
123662214696899877306785059161575927195137970448091890443190889<63>
969261700805893672184370694026644505371025820614755459811268121190526144583477879334231917822272847937989266391089692109650910095983019191<138>
factorization results 素因数分解の結果
Number: n
N=119861048542540756120702605465203488285946635463967890004559940785994782102945330838958732216012169823163259403112126679803878793242787061751331253648546418959617717083672446344367072299250594163350799  ( 201 digits)
SNFS difficulty: 208 digits.
Divisors found:

Mon Sep 21 23:38:43 2020  p63 factor: 123662214696899877306785059161575927195137970448091890443190889
Mon Sep 21 23:38:43 2020  p138 factor: 969261700805893672184370694026644505371025820614755459811268121190526144583477879334231917822272847937989266391089692109650910095983019191
Mon Sep 21 23:38:43 2020  elapsed time 04:39:09 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.121).
Factorization parameters were as follows:
#
# N = 163x10^206-1 = 181(206)
#
n: 119861048542540756120702605465203488285946635463967890004559940785994782102945330838958732216012169823163259403112126679803878793242787061751331253648546418959617717083672446344367072299250594163350799
m: 100000000000000000000000000000000000000000
deg: 5
c5: 1630
c0: -1
skew: 0.23
# Murphy_E = 5.707e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 28900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7034368 hash collisions in 49839643 relations (44524419 unique)
Msieve: matrix is 3182207 x 3182432 (1113.3 MB)

Sieving start time: 2020/09/21 08:45:10
Sieving end time  : 2020/09/21 18:57:55

Total sieving time: 10hrs 12min 45secs.

Total relation processing time: 4hrs 7min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 16min 49sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.142177] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283124K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2724K bss, 420336K reserved, 0K cma-reserved)
[    0.176722] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.55 BogoMIPS (lpj=11977104)
[    0.174223] smpboot: Total of 16 processors activated (95816.83 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:15 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 15 秒 (日本時間)
4511e61385585CypJuly 28, 2015 17:22:55 UTC 2015 年 7 月 29 日 (水) 2 時 22 分 55 秒 (日本時間)
600Dmitry DomanovOctober 26, 2015 18:20:41 UTC 2015 年 10 月 27 日 (火) 3 時 20 分 41 秒 (日本時間)
200Dmitry DomanovDecember 21, 2015 11:11:16 UTC 2015 年 12 月 21 日 (月) 20 時 11 分 16 秒 (日本時間)
5043e6760 / 6990300Dmitry DomanovJanuary 25, 2016 14:18:12 UTC 2016 年 1 月 25 日 (月) 23 時 18 分 12 秒 (日本時間)
360Dmitry DomanovFebruary 4, 2016 17:51:10 UTC 2016 年 2 月 5 日 (金) 2 時 51 分 10 秒 (日本時間)
100Dmitry DomanovSeptember 6, 2018 09:40:05 UTC 2018 年 9 月 6 日 (木) 18 時 40 分 5 秒 (日本時間)
5511e7100 / 17409Dmitry DomanovSeptember 6, 2018 18:16:51 UTC 2018 年 9 月 7 日 (金) 3 時 16 分 51 秒 (日本時間)

163×10207-19

c199

name 名前Bob Backstrom
date 日付April 17, 2021 18:49:56 UTC 2021 年 4 月 18 日 (日) 3 時 49 分 56 秒 (日本時間)
composite number 合成数
2505640079260034577163180937838193644088528515103033949243336196787577965965745168845852733683408757072618928378743592121427989245953817150105386976549877887459339183173474679153868888412535350890503<199>
prime factors 素因数
32301255846689213826842159405022247500843029<44>
77570980247718619460599941584571673636990188115265494977136673979188943483533350184175009405864078785437087721265842002883966790724679365543984961176961707<155>
factorization results 素因数分解の結果
#
# N = 163x10^207-1 = 181(207)
#
n: 2505640079260034577163180937838193644088528515103033949243336196787577965965745168845852733683408757072618928378743592121427989245953817150105386976549877887459339183173474679153868888412535350890503
m: 100000000000000000000000000000000000000000
deg: 5
c5: 16300
c0: -1
skew: 0.14
# Murphy_E = 6.162e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 2505640079260034577163180937838193644088528515103033949243336196787577965965745168845852733683408757072618928378743592121427989245953817150105386976549877887459339183173474679153868888412535350890503 (199 digits)
Using B1=45570000, B2=240492732496, polynomial Dickson(12), sigma=1:2413199208
Step 1 took 134000ms
Step 2 took 40855ms
********** Factor found in step 2: 32301255846689213826842159405022247500843029
Found prime factor of 44 digits: 32301255846689213826842159405022247500843029
Prime cofactor 77570980247718619460599941584571673636990188115265494977136673979188943483533350184175009405864078785437087721265842002883966790724679365543984961176961707 has 155 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 8, 2014 23:15:50 UTC 2014 年 12 月 9 日 (火) 8 時 15 分 50 秒 (日本時間)
4511e61391591CypJune 21, 2015 07:33:18 UTC 2015 年 6 月 21 日 (日) 16 時 33 分 18 秒 (日本時間)
800Dmitry DomanovOctober 26, 2015 18:21:02 UTC 2015 年 10 月 27 日 (火) 3 時 21 分 2 秒 (日本時間)
5043e6660 / 6989300Dmitry DomanovJanuary 25, 2016 14:18:29 UTC 2016 年 1 月 25 日 (月) 23 時 18 分 29 秒 (日本時間)
360Dmitry DomanovFebruary 4, 2016 17:51:35 UTC 2016 年 2 月 5 日 (金) 2 時 51 分 35 秒 (日本時間)
5511e7100 / 17445Dmitry DomanovSeptember 6, 2018 09:40:52 UTC 2018 年 9 月 6 日 (木) 18 時 40 分 52 秒 (日本時間)

163×10208-19

c160

composite cofactor 合成数の残り
1081816342728209944130073332982802760389076606136775085356766062221428602896659851500812989173811631928681574345896147536661567293902912714454293828619356199593<160>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 10, 2014 04:19:11 UTC 2014 年 12 月 10 日 (水) 13 時 19 分 11 秒 (日本時間)
4511e61391591CypJuly 5, 2015 17:33:22 UTC 2015 年 7 月 6 日 (月) 2 時 33 分 22 秒 (日本時間)
800Dmitry DomanovOctober 26, 2015 18:21:15 UTC 2015 年 10 月 27 日 (火) 3 時 21 分 15 秒 (日本時間)
5043e6600 / 6921300Dmitry DomanovJanuary 24, 2016 22:29:11 UTC 2016 年 1 月 25 日 (月) 7 時 29 分 11 秒 (日本時間)
300Dmitry DomanovFebruary 3, 2016 14:30:33 UTC 2016 年 2 月 3 日 (水) 23 時 30 分 33 秒 (日本時間)
5511e7128 / 17466Dmitry DomanovSeptember 6, 2018 14:45:28 UTC 2018 年 9 月 6 日 (木) 23 時 45 分 28 秒 (日本時間)

163×10209-19

c207

name 名前Bob Backstrom
date 日付November 10, 2019 15:18:15 UTC 2019 年 11 月 11 日 (月) 0 時 18 分 15 秒 (日本時間)
composite number 合成数
556751033234279468524780544454691395976363698466372920722751648051371383680021860163268094408580114082727055367694777470369231820200157119923489428561669569969600710455306213068278853707688629299450080267787<207>
prime factors 素因数
258124990237756110984912923341897827705750719653482451088110821365079990897146292221<84>
2156904810810693567258949522537189926635912538201962831720993635278739120134337198625878728484222251619374236439958923745447<124>
factorization results 素因数分解の結果
Number: n
N=556751033234279468524780544454691395976363698466372920722751648051371383680021860163268094408580114082727055367694777470369231820200157119923489428561669569969600710455306213068278853707688629299450080267787
  ( 207 digits)
SNFS difficulty: 211 digits.
Divisors found:

Mon Nov 11 02:13:53 2019  p84 factor: 258124990237756110984912923341897827705750719653482451088110821365079990897146292221
Mon Nov 11 02:13:53 2019  p124 factor: 2156904810810693567258949522537189926635912538201962831720993635278739120134337198625878728484222251619374236439958923745447
Mon Nov 11 02:13:53 2019  elapsed time 04:53:42 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.130).
Factorization parameters were as follows:
#
# N = 163x10^209-1 = 181(209)
#
n: 556751033234279468524780544454691395976363698466372920722751648051371383680021860163268094408580114082727055367694777470369231820200157119923489428561669569969600710455306213068278853707688629299450080267787
m: 500000000000000000000000000000000000000000
deg: 5
c5: 2608
c0: -5
skew: 0.29
# Murphy_E = 4.041e-12
type: snfs
lss: 1
rlim: 24000000
alim: 24000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 24000000/24000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 59200000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8746812 hash collisions in 57483898 relations (50681382 unique)
Msieve: matrix is 3309599 x 3309824 (1154.8 MB)

Sieving start time: 2019/11/09 21:05:44
Sieving end time  : 2019/11/10 21:19:12

Total sieving time: 24hrs 13min 28secs.

Total relation processing time: 4hrs 25min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 7sec.

Prototype def-par.txt line would be:
snfs,211,5,0,0,0,0,0,0,0,0,24000000,24000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149912] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284044K/16703460K available (12300K kernel code, 2481K rwdata, 4256K rodata, 2436K init, 2388K bss, 419416K reserved, 0K cma-reserved)
[    0.184564] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.54 BogoMIPS (lpj=11977096)
[    0.182216] smpboot: Total of 16 processors activated (95816.76 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:40 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 40 秒 (日本時間)
4511e61000Serge BatalovDecember 18, 2014 00:18:32 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 32 秒 (日本時間)
5043e6660 / 7024300Dmitry DomanovJanuary 25, 2016 14:18:48 UTC 2016 年 1 月 25 日 (月) 23 時 18 分 48 秒 (日本時間)
360Dmitry DomanovFebruary 4, 2016 17:52:19 UTC 2016 年 2 月 5 日 (金) 2 時 52 分 19 秒 (日本時間)
5511e790 / 17453Dmitry DomanovSeptember 6, 2018 12:40:05 UTC 2018 年 9 月 6 日 (木) 21 時 40 分 5 秒 (日本時間)

163×10211-19

c200

name 名前Bob Backstrom
date 日付October 13, 2020 19:48:34 UTC 2020 年 10 月 14 日 (水) 4 時 48 分 34 秒 (日本時間)
composite number 合成数
73840804010910088293903600836058921418777458836920164887847083869774207209438258754321113876745915029242957107352768204467202427254857759650279915776745013102522699341557073159395165546821222220022233<200>
prime factors 素因数
19085883038187510352168413368688788449315697209771187119<56>
3868870193910733274050860371875625833490143501562943710656337276016726096098978483916802511356513059043133650695150973900149330632044808852239607<145>
factorization results 素因数分解の結果
Number: n
N=73840804010910088293903600836058921418777458836920164887847083869774207209438258754321113876745915029242957107352768204467202427254857759650279915776745013102522699341557073159395165546821222220022233  ( 200 digits)
SNFS difficulty: 213 digits.
Divisors found:

Wed Oct 14 06:41:32 2020  prp56 factor: 19085883038187510352168413368688788449315697209771187119
Wed Oct 14 06:41:32 2020  prp145 factor: 3868870193910733274050860371875625833490143501562943710656337276016726096098978483916802511356513059043133650695150973900149330632044808852239607
Wed Oct 14 06:41:32 2020  elapsed time 07:15:10 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.108).
Factorization parameters were as follows:
#
# N = 163x10^211-1 = 181(211)
#
n: 73840804010910088293903600836058921418777458836920164887847083869774207209438258754321113876745915029242957107352768204467202427254857759650279915776745013102522699341557073159395165546821222220022233
m: 100000000000000000000000000000000000
deg: 6
c6: 1630
c0: -1
skew: 0.29
# Murphy_E = 3.856e-12
type: snfs
lss: 1
rlim: 25000000
alim: 25000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 25000000/25000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 45300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9637739 hash collisions in 58660774 relations (51282405 unique)
Msieve: matrix is 3491318 x 3491543 (993.2 MB)

Sieving start time: 2020/10/13 05:38:31
Sieving end time  : 2020/10/13 23:25:29

Total sieving time: 17hrs 46min 58secs.

Total relation processing time: 6hrs 52min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 52sec.

Prototype def-par.txt line would be:
snfs,213,6,0,0,0,0,0,0,0,0,25000000,25000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.113540] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16228504K/16703460K available (14339K kernel code, 2398K rwdata, 4956K rodata, 2716K init, 4988K bss, 474956K reserved, 0K cma-reserved)
[    0.148670] x86/mm: Memory block size: 128MB
[    0.000008] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.64 BogoMIPS (lpj=11977280)
[    0.146244] smpboot: Total of 16 processors activated (95818.24 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 7, 2014 09:22:21 UTC 2014 年 12 月 7 日 (日) 18 時 22 分 21 秒 (日本時間)
4511e61391591CypJuly 28, 2015 15:26:49 UTC 2015 年 7 月 29 日 (水) 0 時 26 分 49 秒 (日本時間)
800Dmitry DomanovOctober 26, 2015 18:22:16 UTC 2015 年 10 月 27 日 (火) 3 時 22 分 16 秒 (日本時間)
5043e6600 / 6921300Dmitry DomanovJanuary 25, 2016 14:19:06 UTC 2016 年 1 月 25 日 (月) 23 時 19 分 6 秒 (日本時間)
300Dmitry DomanovAugust 27, 2018 07:07:44 UTC 2018 年 8 月 27 日 (月) 16 時 7 分 44 秒 (日本時間)
5511e7128 / 17466Dmitry DomanovSeptember 5, 2018 17:03:13 UTC 2018 年 9 月 6 日 (木) 2 時 3 分 13 秒 (日本時間)

163×10212-19

c200

name 名前Bob Backstrom
date 日付October 16, 2020 14:13:39 UTC 2020 年 10 月 16 日 (金) 23 時 13 分 39 秒 (日本時間)
composite number 合成数
97369603659523878307605643246906716969125578963586617564137051787755781085635108616621525811002624132699133219193021116898865490957315068795889428909701804206308669764601769301227516603619089362891141<200>
prime factors 素因数
84048477058766779480035201376507667447881815029509155400429499<62>
1158493372716830475632216841234256673226258554030602904728947484671264745753598209204652285039062023287425086218924737654207897842061799359<139>
factorization results 素因数分解の結果
Number: n
N=97369603659523878307605643246906716969125578963586617564137051787755781085635108616621525811002624132699133219193021116898865490957315068795889428909701804206308669764601769301227516603619089362891141  ( 200 digits)
SNFS difficulty: 214 digits.
Divisors found:

Sat Oct 17 01:08:38 2020  p62 factor: 84048477058766779480035201376507667447881815029509155400429499
Sat Oct 17 01:08:38 2020  p139 factor: 1158493372716830475632216841234256673226258554030602904728947484671264745753598209204652285039062023287425086218924737654207897842061799359
Sat Oct 17 01:08:38 2020  elapsed time 04:20:00 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 163x10^212-1 = 181(212)
#
n: 97369603659523878307605643246906716969125578963586617564137051787755781085635108616621525811002624132699133219193021116898865490957315068795889428909701804206308669764601769301227516603619089362891141
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 16300
c0: -1
skew: 0.14
# Murphy_E = 3.773e-12
type: snfs
lss: 1
rlim: 26000000
alim: 26000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 26000000/26000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 17000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9369325 hash collisions in 59097933 relations (51634899 unique)
Msieve: matrix is 3228605 x 3228830 (1136.8 MB)

Sieving start time: 2020/10/16 20:01:49
Sieving end time  : 2020/10/16 20:02:43

Total sieving time: 0hrs 0min 54secs.

Total relation processing time: 3hrs 56min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 6sec.

Prototype def-par.txt line would be:
snfs,214,5,0,0,0,0,0,0,0,0,26000000,26000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118671] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16235804K/16727236K available (14339K kernel code, 2398K rwdata, 4956K rodata, 2716K init, 4988K bss, 491432K reserved, 0K cma-reserved)
[    0.153508] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.17 BogoMIPS (lpj=12798352)
[    0.152049] smpboot: Total of 16 processors activated (102386.81 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 9, 2014 16:30:08 UTC 2014 年 12 月 10 日 (水) 1 時 30 分 8 秒 (日本時間)
4511e61391591CypJune 7, 2015 05:59:44 UTC 2015 年 6 月 7 日 (日) 14 時 59 分 44 秒 (日本時間)
800Dmitry DomanovOctober 26, 2015 18:22:36 UTC 2015 年 10 月 27 日 (火) 3 時 22 分 36 秒 (日本時間)
5043e6600 / 6921300Dmitry DomanovJanuary 25, 2016 14:19:24 UTC 2016 年 1 月 25 日 (月) 23 時 19 分 24 秒 (日本時間)
300Dmitry DomanovAugust 27, 2018 07:07:58 UTC 2018 年 8 月 27 日 (月) 16 時 7 分 58 秒 (日本時間)
5511e7128 / 17466Dmitry DomanovSeptember 5, 2018 17:03:27 UTC 2018 年 9 月 6 日 (木) 2 時 3 分 27 秒 (日本時間)

163×10213-19

c201

name 名前Bob Backstrom
date 日付October 5, 2020 08:09:59 UTC 2020 年 10 月 5 日 (月) 17 時 9 分 59 秒 (日本時間)
composite number 合成数
212221644381806537047254008221758253775657427786090822526214888948530139842455804425591181933133776635604944564680570457874757233172490152681143528711921538376909098516369193701855931392963029467582219<201>
prime factors 素因数
8134697686693727623400354439621370607557817797822771618143560100337<67>
26088448834299834291252287970514139267631531743593816766134348371281092930801750754963221023194167227418982875738651241499133660441787<134>
factorization results 素因数分解の結果
Number: n
N=212221644381806537047254008221758253775657427786090822526214888948530139842455804425591181933133776635604944564680570457874757233172490152681143528711921538376909098516369193701855931392963029467582219  ( 201 digits)
SNFS difficulty: 215 digits.
Divisors found:

Mon Oct  5 19:07:02 2020  prp67 factor: 8134697686693727623400354439621370607557817797822771618143560100337
Mon Oct  5 19:07:02 2020  prp134 factor: 26088448834299834291252287970514139267631531743593816766134348371281092930801750754963221023194167227418982875738651241499133660441787
Mon Oct  5 19:07:02 2020  elapsed time 09:19:38 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.112).
Factorization parameters were as follows:
#
# N = 163x10^213-1 = 181(213)
#
n: 212221644381806537047254008221758253775657427786090822526214888948530139842455804425591181933133776635604944564680570457874757233172490152681143528711921538376909098516369193701855931392963029467582219
m: 100000000000000000000000000000000000
deg: 6
c6: 163000
c0: -1
skew: 0.14
# Murphy_E = 3.058e-12
type: snfs
lss: 1
rlim: 27000000
alim: 27000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 27000000/27000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 46300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10183518 hash collisions in 59249755 relations (51188031 unique)
Msieve: matrix is 3862398 x 3862623 (1097.3 MB)

Sieving start time: 2020/10/04 13:27:57
Sieving end time  : 2020/10/05 09:46:18

Total sieving time: 20hrs 18min 21secs.

Total relation processing time: 8hrs 36min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 27min 5sec.

Prototype def-par.txt line would be:
snfs,215,6,0,0,0,0,0,0,0,0,27000000,27000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.113540] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16228504K/16703460K available (14339K kernel code, 2398K rwdata, 4956K rodata, 2716K init, 4988K bss, 474956K reserved, 0K cma-reserved)
[    0.148670] x86/mm: Memory block size: 128MB
[    0.000008] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.64 BogoMIPS (lpj=11977280)
[    0.146244] smpboot: Total of 16 processors activated (95818.24 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:15 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 15 秒 (日本時間)
4511e61385585CypMay 29, 2015 15:15:33 UTC 2015 年 5 月 30 日 (土) 0 時 15 分 33 秒 (日本時間)
800Dmitry DomanovOctober 26, 2015 18:22:49 UTC 2015 年 10 月 27 日 (火) 3 時 22 分 49 秒 (日本時間)
5043e6600 / 6922300Dmitry DomanovJanuary 25, 2016 14:19:39 UTC 2016 年 1 月 25 日 (月) 23 時 19 分 39 秒 (日本時間)
300Dmitry DomanovAugust 27, 2018 07:08:16 UTC 2018 年 8 月 27 日 (月) 16 時 8 分 16 秒 (日本時間)
5511e7128 / 17466Dmitry DomanovSeptember 5, 2018 17:03:42 UTC 2018 年 9 月 6 日 (木) 2 時 3 分 42 秒 (日本時間)

163×10214-19

c196

composite cofactor 合成数の残り
3643293796677295227046976315116030794292991442835624815087526023346871296446889316236988240287037474725675556576979112334608495990742372154401618528442825006589482014362061618900611575278851205377<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:16 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 16 秒 (日本時間)
4511e61385585CypMay 14, 2015 20:48:58 UTC 2015 年 5 月 15 日 (金) 5 時 48 分 58 秒 (日本時間)
800Dmitry DomanovOctober 26, 2015 18:23:01 UTC 2015 年 10 月 27 日 (火) 3 時 23 分 1 秒 (日本時間)
5043e6600 / 6922300Dmitry DomanovJanuary 25, 2016 14:19:56 UTC 2016 年 1 月 25 日 (月) 23 時 19 分 56 秒 (日本時間)
300Dmitry DomanovAugust 27, 2018 21:32:28 UTC 2018 年 8 月 28 日 (火) 6 時 32 分 28 秒 (日本時間)
5511e7128 / 17466Dmitry DomanovSeptember 6, 2018 05:50:10 UTC 2018 年 9 月 6 日 (木) 14 時 50 分 10 秒 (日本時間)

163×10217-19

c200

composite cofactor 合成数の残り
15312374740244410148553999963586855327647034864183617376771509532959484966481968912880570916747076700018096184990174509550645425167541200169750442963100313346218224998146911641403903006528685995927777<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 9, 2014 21:02:26 UTC 2014 年 12 月 10 日 (水) 6 時 2 分 26 秒 (日本時間)
4511e61391591CypMay 25, 2015 06:37:24 UTC 2015 年 5 月 25 日 (月) 15 時 37 分 24 秒 (日本時間)
800Dmitry DomanovOctober 27, 2015 09:49:37 UTC 2015 年 10 月 27 日 (火) 18 時 49 分 37 秒 (日本時間)
5043e6600 / 6921300Dmitry DomanovJanuary 25, 2016 14:20:13 UTC 2016 年 1 月 25 日 (月) 23 時 20 分 13 秒 (日本時間)
300Dmitry DomanovAugust 27, 2018 07:08:32 UTC 2018 年 8 月 27 日 (月) 16 時 8 分 32 秒 (日本時間)
5511e7128 / 17466Dmitry DomanovSeptember 5, 2018 17:03:56 UTC 2018 年 9 月 6 日 (木) 2 時 3 分 56 秒 (日本時間)

163×10218-19

c169

name 名前Erik Branger
date 日付December 6, 2019 17:40:59 UTC 2019 年 12 月 7 日 (土) 2 時 40 分 59 秒 (日本時間)
composite number 合成数
2400663055545570246475585150130155822857766369643582901852579192924193116462191822242805434885681280962084329534274305638771639051958177433797545592059573707103075144209<169>
prime factors 素因数
145834413037352227581813798400398517690500945151718567694541354764023993<72>
16461567647484507139980195619852916680069990080029645317177406220318217461523137628186081029081113<98>
factorization results 素因数分解の結果
Number: 18111_218
N = 2400663055545570246475585150130155822857766369643582901852579192924193116462191822242805434885681280962084329534274305638771639051958177433797545592059573707103075144209 (169 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=145834413037352227581813798400398517690500945151718567694541354764023993 (pp72)
r2=16461567647484507139980195619852916680069990080029645317177406220318217461523137628186081029081113 (pp98)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 79.35 hours.
Factorization parameters were as follows:
n: 2400663055545570246475585150130155822857766369643582901852579192924193116462191822242805434885681280962084329534274305638771639051958177433797545592059573707103075144209
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 163
c0: -100
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 7615480 relations
Pruned matrix : 6696319 x 6696544
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 40.49 hours.
Total relation processing time: 0.42 hours.
Matrix solve time: 38.23 hours.
time per square root: 0.22 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 79.35 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:16 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 16 秒 (日本時間)
4511e61385585CypJuly 28, 2015 10:16:08 UTC 2015 年 7 月 28 日 (火) 19 時 16 分 8 秒 (日本時間)
800Dmitry DomanovOctober 26, 2015 18:21:54 UTC 2015 年 10 月 27 日 (火) 3 時 21 分 54 秒 (日本時間)
5043e6600 / 6922300Dmitry DomanovJanuary 24, 2016 22:30:24 UTC 2016 年 1 月 25 日 (月) 7 時 30 分 24 秒 (日本時間)
300Dmitry DomanovFebruary 3, 2016 14:30:56 UTC 2016 年 2 月 3 日 (水) 23 時 30 分 56 秒 (日本時間)
5511e7128 / 17466Dmitry DomanovSeptember 6, 2018 09:44:14 UTC 2018 年 9 月 6 日 (木) 18 時 44 分 14 秒 (日本時間)

163×10221-19

c203

name 名前Erik Branger
date 日付January 23, 2020 16:37:02 UTC 2020 年 1 月 24 日 (金) 1 時 37 分 2 秒 (日本時間)
composite number 合成数
10814427096086582886638502477884831640287543931509689958666819098647847204155103865254171153129927886315806024776707490624368541377341284263077394371970009678381557476813736670266466519687117011091038297<203>
prime factors 素因数
3070079570044456712295789688272845794135392079<46>
114411905788442538637691878777617632097366798683533<51>
30788084213750824056448542359182756864086725142254320550316821698953264920498865536964524782733073075805171<107>
factorization results 素因数分解の結果
Number: 18111_221
N = 10814427096086582886638502477884831640287543931509689958666819098647847204155103865254171153129927886315806024776707490624368541377341284263077394371970009678381557476813736670266466519687117011091038297 (203 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=3070079570044456712295789688272845794135392079 (pp46)
r2=114411905788442538637691878777617632097366798683533 (pp51)
r3=30788084213750824056448542359182756864086725142254320550316821698953264920498865536964524782733073075805171 (pp107)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 56.46 hours.
Factorization parameters were as follows:
n: 10814427096086582886638502477884831640287543931509689958666819098647847204155103865254171153129927886315806024776707490624368541377341284263077394371970009678381557476813736670266466519687117011091038297
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1630
c0: -1
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 34746071
Relations: 9844650 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 26.74 hours.
Total relation processing time: 0.37 hours.
Pruned matrix : 8413258 x 8413483
Matrix solve time: 28.61 hours.
time per square root: 0.74 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 56.46 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:17 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 17 秒 (日本時間)
4511e61385585CypJune 30, 2015 22:06:39 UTC 2015 年 7 月 1 日 (水) 7 時 6 分 39 秒 (日本時間)
800Dmitry DomanovOctober 27, 2015 09:50:10 UTC 2015 年 10 月 27 日 (火) 18 時 50 分 10 秒 (日本時間)
5043e6600 / 6922300Dmitry DomanovJanuary 25, 2016 14:20:30 UTC 2016 年 1 月 25 日 (月) 23 時 20 分 30 秒 (日本時間)
300Dmitry DomanovAugust 27, 2018 21:32:48 UTC 2018 年 8 月 28 日 (火) 6 時 32 分 48 秒 (日本時間)
5511e7128 / 17466Dmitry DomanovSeptember 5, 2018 00:19:45 UTC 2018 年 9 月 5 日 (水) 9 時 19 分 45 秒 (日本時間)

163×10223-19

c224

name 名前Bob Backstrom
date 日付September 13, 2018 21:09:51 UTC 2018 年 9 月 14 日 (金) 6 時 9 分 51 秒 (日本時間)
composite number 合成数
10653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183<224>
prime factors 素因数
81532059294024987137752154461770867367379421629<47>
845128445457972832484891699633683791331234355541533697680006734756138641815359703<81>
154612656612846614385013866253646349434261541572260528322301990532558665140676646195030315455509<96>
factorization results 素因数分解の結果
Number: n
N=10653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183
  ( 224 digits)
SNFS difficulty: 225 digits.
Divisors found:

Fri Sep 14 06:36:23 2018  found factor: 154612656612846614385013866253646349434261541572260528322301990532558665140676646195030315455509
Fri Sep 14 07:04:26 2018  p47 factor: 81532059294024987137752154461770867367379421629
Fri Sep 14 07:04:26 2018  p81 factor: 845128445457972832484891699633683791331234355541533697680006734756138641815359703
Fri Sep 14 07:04:26 2018  p96 factor: 154612656612846614385013866253646349434261541572260528322301990532558665140676646195030315455509
Fri Sep 14 07:04:26 2018  elapsed time 14:48:47 (Msieve 1.54 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.118).
Factorization parameters were as follows:
#
# N = 163x10^223-1 = 181(223)
#
n: 10653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183
m: 10000000000000000000000000000000000000
deg: 6
c6: 1630
c0: -1
skew: 0.29
# Murphy_E = 1.514e-12
type: snfs
lss: 1
rlim: 40000000
alim: 40000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 40000000/40000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved  special-q in [100000, 52800000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 24471203 hash collisions in 111079437 relations (85838388 unique)
Msieve: matrix is 5440885 x 5441111 (1920.7 MB)

Sieving start time: 2018/09/12 18:55:16
Sieving end time  : 2018/09/13 16:10:44
Total sieving time: 21hrs 15min 28secs.

Total relation processing time: 13hrs 31min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 42min 5sec.

Prototype def-par.txt line would be:
snfs,225,6,0,0,0,0,0,0,0,0,40000000,40000000,30,30,59,59,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.052000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285132K/16703460K available (12300K kernel code, 2470K rwdata, 4244K rodata, 2408K init, 2416K bss, 418328K reserved, 0K cma-reserved)
[    0.084569] x86/mm: Memory block size: 128MB
[    0.032000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.70 BogoMIPS (lpj=11977408)
[    0.082216] smpboot: Total of 16 processors activated (95819.26 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62600280CypDecember 7, 2014 20:20:43 UTC 2014 年 12 月 8 日 (月) 5 時 20 分 43 秒 (日本時間)
2320Serge BatalovDecember 9, 2014 19:26:04 UTC 2014 年 12 月 10 日 (水) 4 時 26 分 4 秒 (日本時間)
4511e620001000Serge BatalovDecember 18, 2014 00:18:42 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 42 秒 (日本時間)
1000Serge BatalovDecember 21, 2014 10:24:37 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 37 秒 (日本時間)
5043e6300 / 6716Dmitry DomanovAugust 30, 2018 17:48:32 UTC 2018 年 8 月 31 日 (金) 2 時 48 分 32 秒 (日本時間)
5511e7120 / 17517Dmitry DomanovSeptember 5, 2018 16:26:11 UTC 2018 年 9 月 6 日 (木) 1 時 26 分 11 秒 (日本時間)

163×10224-19

c220

name 名前Bob Backstrom
date 日付October 22, 2019 11:34:19 UTC 2019 年 10 月 22 日 (火) 20 時 34 分 19 秒 (日本時間)
composite number 合成数
3235392253597587469226556655390431456428694634350060311284432860549234631241701863963069684592923145142673851222372876376852931970022403602678745993720957144153001104201662991618349159959182450120870681768604349042055931<220>
prime factors 素因数
37704332930092225080142950837472366118474763827368802585809026952378746612132810302731<86>
85809560922251109445459445884559862074052635008612751980782918877747422760978806462945405803887653233725855637863191698646882777397201<134>
factorization results 素因数分解の結果
Number: n
N=3235392253597587469226556655390431456428694634350060311284432860549234631241701863963069684592923145142673851222372876376852931970022403602678745993720957144153001104201662991618349159959182450120870681768604349042055931
  ( 220 digits)
SNFS difficulty: 226 digits.
Divisors found:

Tue Oct 22 22:28:00 2019  p86 factor: 37704332930092225080142950837472366118474763827368802585809026952378746612132810302731
Tue Oct 22 22:28:00 2019  p134 factor: 85809560922251109445459445884559862074052635008612751980782918877747422760978806462945405803887653233725855637863191698646882777397201
Tue Oct 22 22:28:00 2019  elapsed time 21:08:22 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.130).
Factorization parameters were as follows:
#
# N = 163x10^224-1 = 181(224)
#
n: 3235392253597587469226556655390431456428694634350060311284432860549234631241701863963069684592923145142673851222372876376852931970022403602678745993720957144153001104201662991618349159959182450120870681768604349042055931
m: 500000000000000000000000000000000000000000000
deg: 5
c5: 2608
c0: -5
skew: 0.29
# Murphy_E = 9.109e-13
type: snfs
lss: 1
rlim: 42000000
alim: 42000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 42000000/42000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved  special-q in [100000, 89800000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 19584928 hash collisions in 109625860 relations (91830334 unique)
Msieve: matrix is 6440397 x 6440622 (2257.6 MB)

Sieving start time: 2019/10/20 05:45:41
Sieving end time  : 2019/10/22 01:16:07

Total sieving time: 43hrs 30min 26secs.

Total relation processing time: 20hrs 17min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 12min 38sec.

Prototype def-par.txt line would be:
snfs,226,5,0,0,0,0,0,0,0,0,42000000,42000000,30,30,59,59,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149912] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284044K/16703460K available (12300K kernel code, 2481K rwdata, 4256K rodata, 2436K init, 2388K bss, 419416K reserved, 0K cma-reserved)
[    0.184564] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.54 BogoMIPS (lpj=11977096)
[    0.182216] smpboot: Total of 16 processors activated (95816.76 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:48 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 48 秒 (日本時間)
4511e620001000Serge BatalovDecember 18, 2014 00:18:44 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 44 秒 (日本時間)
1000Serge BatalovDecember 21, 2014 10:24:41 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 41 秒 (日本時間)
5043e6300 / 6708Dmitry DomanovAugust 30, 2018 00:31:21 UTC 2018 年 8 月 30 日 (木) 9 時 31 分 21 秒 (日本時間)
5511e7128 / 17519Dmitry DomanovSeptember 5, 2018 09:19:11 UTC 2018 年 9 月 5 日 (水) 18 時 19 分 11 秒 (日本時間)

163×10225-19

c214

name 名前Serge Batalov
date 日付December 11, 2014 01:35:51 UTC 2014 年 12 月 11 日 (木) 10 時 35 分 51 秒 (日本時間)
composite number 合成数
1396120922964912470901529182520414057619952545599177094668668802770260339168952367708473559482410773609911605940660206934416851402346120752855073806557820328009018586305553246463947765987351595518115712427112821173<214>
prime factors 素因数
82492582740211141871552627371541<32>
16924199444229197178320091640048165602830993036146602897046082460604353682803230513786018226549916236704078984622837744764109584154375710378905913882978818010739520643318702821899553<182>
factorization results 素因数分解の結果
Input number is 1396120922964912470901529182520414057619952545599177094668668802770260339168952367708473559482410773609911605940660206934416851402346120752855073806557820328009018586305553246463947765987351595518115712427112821173 (214 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1467376015
Step 1 took 18457ms
Step 2 took 11424ms
********** Factor found in step 2: 82492582740211141871552627371541
Found probable prime factor of 32 digits: 82492582740211141871552627371541
Probable prime cofactor 16924199444229197178320091640048165602830993036146602897046082460604353682803230513786018226549916236704078984622837744764109584154375710378905913882978818010739520643318702821899553 has 182 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:49:17 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 17 秒 (日本時間)

163×10226-19

c205

name 名前Dmitry Domanov
date 日付October 27, 2015 19:11:22 UTC 2015 年 10 月 28 日 (水) 4 時 11 分 22 秒 (日本時間)
composite number 合成数
6969439805081778583895851335784854571008519189120527386277093639755175429988182797294114141973622809711986652877242977442700253786893643723498389296916968584730269571213398981058884431207600767674037544787<205>
prime factors 素因数
8234519238585240081910689223005327797336599<43>
846368756104720349886014395739544157465991020030590357209796926086458857808022666881680780625971887954244276258865120254467768372959443053382751769214072602431013<162>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1088099130
Step 1 took 99213ms
Step 2 took 20573ms
********** Factor found in step 2: 8234519238585240081910689223005327797336599
Found probable prime factor of 43 digits: 8234519238585240081910689223005327797336599

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 9, 2014 10:49:34 UTC 2014 年 12 月 9 日 (火) 19 時 49 分 34 秒 (日本時間)
4511e61391 / 4413591CypJune 14, 2015 07:23:18 UTC 2015 年 6 月 14 日 (日) 16 時 23 分 18 秒 (日本時間)
800Dmitry DomanovOctober 27, 2015 09:50:51 UTC 2015 年 10 月 27 日 (火) 18 時 50 分 51 秒 (日本時間)

163×10227-19

c203

composite cofactor 合成数の残り
19572566178858545041936993864873317226952349085192840454980611627411620361104071156438057754500893924556382952438507381909797402620235845390005576757006863199108550146958436678625795228842494154421545829<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6580280CypDecember 10, 2014 13:58:19 UTC 2014 年 12 月 10 日 (水) 22 時 58 分 19 秒 (日本時間)
300Serge BatalovDecember 10, 2014 19:49:18 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 18 秒 (日本時間)
4511e61304504CypJune 24, 2015 22:31:07 UTC 2015 年 6 月 25 日 (木) 7 時 31 分 7 秒 (日本時間)
800Dmitry DomanovOctober 27, 2015 09:51:07 UTC 2015 年 10 月 27 日 (火) 18 時 51 分 7 秒 (日本時間)
5043e6600 / 6925300Dmitry DomanovJanuary 25, 2016 14:20:58 UTC 2016 年 1 月 25 日 (月) 23 時 20 分 58 秒 (日本時間)
300Dmitry DomanovAugust 27, 2018 21:33:07 UTC 2018 年 8 月 28 日 (火) 6 時 33 分 7 秒 (日本時間)
5511e7128 / 17467Dmitry DomanovSeptember 6, 2018 23:47:23 UTC 2018 年 9 月 7 日 (金) 8 時 47 分 23 秒 (日本時間)
6026e71 / 41877Dmitry DomanovSeptember 6, 2018 23:47:43 UTC 2018 年 9 月 7 日 (金) 8 時 47 分 43 秒 (日本時間)

163×10228-19

c191

composite cofactor 合成数の残り
32196776117605224424909797479536656476706074452197115468959081423900629399619827193873974891238481207131640005771101200190685666899641497536458893673865121001653723567419793519186780402009421<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 8, 2014 18:43:55 UTC 2014 年 12 月 9 日 (火) 3 時 43 分 55 秒 (日本時間)
4511e61391591CypJune 8, 2015 19:12:52 UTC 2015 年 6 月 9 日 (火) 4 時 12 分 52 秒 (日本時間)
800Dmitry DomanovOctober 27, 2015 12:07:20 UTC 2015 年 10 月 27 日 (火) 21 時 7 分 20 秒 (日本時間)
5043e6600 / 6921300Dmitry DomanovJanuary 25, 2016 14:21:16 UTC 2016 年 1 月 25 日 (月) 23 時 21 分 16 秒 (日本時間)
300Dmitry DomanovAugust 27, 2018 21:33:41 UTC 2018 年 8 月 28 日 (火) 6 時 33 分 41 秒 (日本時間)
5511e7128 / 17466Dmitry DomanovSeptember 7, 2018 16:00:11 UTC 2018 年 9 月 8 日 (土) 1 時 0 分 11 秒 (日本時間)

163×10229-19

c213

composite cofactor 合成数の残り
669927678256670594467567310080303282560530432705079619721814753779406782043561127962598094148681845738262993178826493925040096378029603605643389769679475824206333988329744654132507415625290314589662658852160171959<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 8, 2014 12:26:26 UTC 2014 年 12 月 8 日 (月) 21 時 26 分 26 秒 (日本時間)
4511e61391591CypJuly 28, 2015 15:24:12 UTC 2015 年 7 月 29 日 (水) 0 時 24 分 12 秒 (日本時間)
800Dmitry DomanovOctober 27, 2015 12:07:40 UTC 2015 年 10 月 27 日 (火) 21 時 7 分 40 秒 (日本時間)
5043e6300 / 6579Dmitry DomanovJanuary 25, 2016 14:21:32 UTC 2016 年 1 月 25 日 (月) 23 時 21 分 32 秒 (日本時間)
5511e7270 / 17573Dmitry DomanovSeptember 7, 2018 17:46:46 UTC 2018 年 9 月 8 日 (土) 2 時 46 分 46 秒 (日本時間)

163×10230-19

c219

name 名前Cyp
date 日付December 10, 2014 17:19:44 UTC 2014 年 12 月 11 日 (木) 2 時 19 分 44 秒 (日本時間)
composite number 合成数
185566461876422398464407055254620290048715303531807093127906341793557233227321129425301404593510156415351000077724800594795468551608523802778383158558301973002594714369781638044558719567619750087836231221030879629120051<219>
prime factors 素因数
1213208109386936694816943298499113<34>
composite cofactor 合成数の残り
152955177632462088642504878161322260404420970472995757992810471862740850808002128102620937377260903701151108969083382299259740282400180880401320668419570944797613265802317155233942988027<186>
factorization results 素因数分解の結果
Run 35 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2492484017
Step 1 took 21951ms
Step 2 took 6758ms
********** Factor found in step 2: 1213208109386936694816943298499113
Found probable prime factor of 34 digits: 1213208109386936694816943298499113
Composite cofactor 152955177632462088642504878161322260404420970472995757992810471862740850808002128102620937377260903701151108969083382299259740282400180880401320668419570944797613265802317155233942988027 has 186 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 10, 2014 17:19:44 UTC 2014 年 12 月 11 日 (木) 2 時 19 分 44 秒 (日本時間)
4511e61391591CypJuly 28, 2015 09:36:48 UTC 2015 年 7 月 28 日 (火) 18 時 36 分 48 秒 (日本時間)
800Dmitry DomanovOctober 27, 2015 12:07:53 UTC 2015 年 10 月 27 日 (火) 21 時 7 分 53 秒 (日本時間)
5043e6660 / 6989300Dmitry DomanovJanuary 25, 2016 14:21:49 UTC 2016 年 1 月 25 日 (月) 23 時 21 分 49 秒 (日本時間)
300Dmitry DomanovFebruary 3, 2016 14:33:05 UTC 2016 年 2 月 3 日 (水) 23 時 33 分 5 秒 (日本時間)
60Dmitry DomanovFebruary 3, 2016 14:34:47 UTC 2016 年 2 月 3 日 (水) 23 時 34 分 47 秒 (日本時間)
5511e7100 / 17445Dmitry DomanovSeptember 7, 2018 11:21:07 UTC 2018 年 9 月 7 日 (金) 20 時 21 分 7 秒 (日本時間)

163×10231-19

c225

name 名前Bob Backstrom
date 日付November 17, 2020 10:44:28 UTC 2020 年 11 月 17 日 (火) 19 時 44 分 28 秒 (日本時間)
composite number 合成数
311876707583570487347478633427214536384301091636017939905908404539425558195544051399623355110344476070081941242470385044073794475649048386004650227124977639348909424267198176518500758766372563296042694612534031369274843164331<225>
prime factors 素因数
161002226062700579524937697978360712812052289<45>
542165440648052366228651988339418708920320221<45>
3572886574675467974048227451760805652335650976670881145061580307656810098480580495727416614013360987393281373374429015103529492695645799<136>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 311876707583570487347478633427214536384301091636017939905908404539425558195544051399623355110344476070081941242470385044073794475649048386004650227124977639348909424267198176518500758766372563296042694612534031369274843164331 (225 digits)
Using B1=25100000, B2=96190324246, polynomial Dickson(12), sigma=1:4087522834
Step 1 took 61917ms
Step 2 took 19517ms
********** Factor found in step 2: 161002226062700579524937697978360712812052289
Found prime factor of 45 digits: 161002226062700579524937697978360712812052289
Composite cofactor 1937095624144435550340786139753917124864338444296858946191246215665610079581381768528860742816453401509674364168526279912811859009117008561260806264691818464742546919882319473401579 has 181 digits


GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1937095624144435550340786139753917124864338444296858946191246215665610079581381768528860742816453401509674364168526279912811859009117008561260806264691818464742546919882319473401579 (181 digits)
Using B1=49210000, B2=240496876636, polynomial Dickson(12), sigma=1:2813684789
Step 1 took 96095ms
Step 2 took 29622ms
********** Factor found in step 2: 542165440648052366228651988339418708920320221
Found prime factor of 45 digits: 542165440648052366228651988339418708920320221
Prime cofactor 3572886574675467974048227451760805652335650976670881145061580307656810098480580495727416614013360987393281373374429015103529492695645799 has 136 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 8, 2014 04:38:26 UTC 2014 年 12 月 8 日 (月) 13 時 38 分 26 秒 (日本時間)
4511e61391591CypMay 26, 2015 12:26:39 UTC 2015 年 5 月 26 日 (火) 21 時 26 分 39 秒 (日本時間)
800Dmitry DomanovOctober 27, 2015 12:08:13 UTC 2015 年 10 月 27 日 (火) 21 時 8 分 13 秒 (日本時間)
5043e6600 / 6921300Dmitry DomanovJanuary 25, 2016 17:06:40 UTC 2016 年 1 月 26 日 (火) 2 時 6 分 40 秒 (日本時間)
300Dmitry DomanovAugust 29, 2018 16:09:19 UTC 2018 年 8 月 30 日 (木) 1 時 9 分 19 秒 (日本時間)
5511e7128 / 17466Dmitry DomanovSeptember 4, 2018 22:22:09 UTC 2018 年 9 月 5 日 (水) 7 時 22 分 9 秒 (日本時間)

163×10233-19

c185

composite cofactor 合成数の残り
44832299186414028975422742394201902271213590560519033297675015677012727973701645523372244379830926039621979482248031134453187657223206540223702848275654419787068941182030675826945971209<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6580280CypDecember 10, 2014 19:18:19 UTC 2014 年 12 月 11 日 (木) 4 時 18 分 19 秒 (日本時間)
300Serge BatalovDecember 10, 2014 19:49:18 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 18 秒 (日本時間)
4511e61304504CypJuly 28, 2015 06:10:48 UTC 2015 年 7 月 28 日 (火) 15 時 10 分 48 秒 (日本時間)
800Dmitry DomanovOctober 26, 2015 13:09:39 UTC 2015 年 10 月 26 日 (月) 22 時 9 分 39 秒 (日本時間)
5043e6660 / 6997300Dmitry DomanovJanuary 25, 2016 17:08:17 UTC 2016 年 1 月 26 日 (火) 2 時 8 分 17 秒 (日本時間)
360Dmitry DomanovFebruary 3, 2016 14:32:36 UTC 2016 年 2 月 3 日 (水) 23 時 32 分 36 秒 (日本時間)
5511e7100 / 17448Dmitry DomanovSeptember 7, 2018 11:19:39 UTC 2018 年 9 月 7 日 (金) 20 時 19 分 39 秒 (日本時間)

163×10234-19

c213

composite cofactor 合成数の残り
724045881839541061251786541662251494319320301862370869154716041577507677600851332809229848801968895799676264600271779499140560603173197161443907486733755873701000680386191476517495357996137472064635132183493582433<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:18 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 18 秒 (日本時間)
4511e61385585CypJuly 28, 2015 10:49:49 UTC 2015 年 7 月 28 日 (火) 19 時 49 分 49 秒 (日本時間)
800Dmitry DomanovOctober 27, 2015 12:08:34 UTC 2015 年 10 月 27 日 (火) 21 時 8 分 34 秒 (日本時間)
5043e6600 / 6922300Dmitry DomanovJanuary 25, 2016 17:07:25 UTC 2016 年 1 月 26 日 (火) 2 時 7 分 25 秒 (日本時間)
300Dmitry DomanovAugust 28, 2018 21:45:36 UTC 2018 年 8 月 29 日 (水) 6 時 45 分 36 秒 (日本時間)
5511e7128 / 17466Dmitry DomanovSeptember 5, 2018 00:18:11 UTC 2018 年 9 月 5 日 (水) 9 時 18 分 11 秒 (日本時間)

163×10235-19

c174

composite cofactor 合成数の残り
979954685214803534432268230568428650328411630234715002838767862650994034206459559978443012137491725465239906013347037326379324174059725496247998383882636942957252048845356209<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 9, 2014 20:19:25 UTC 2014 年 12 月 10 日 (水) 5 時 19 分 25 秒 (日本時間)
4511e61391591CypJune 10, 2015 05:57:10 UTC 2015 年 6 月 10 日 (水) 14 時 57 分 10 秒 (日本時間)
800Dmitry DomanovOctober 26, 2015 11:05:16 UTC 2015 年 10 月 26 日 (月) 20 時 5 分 16 秒 (日本時間)
5043e6600 / 6921300Dmitry DomanovJanuary 25, 2016 13:03:13 UTC 2016 年 1 月 25 日 (月) 22 時 3 分 13 秒 (日本時間)
300Dmitry DomanovFebruary 3, 2016 14:31:56 UTC 2016 年 2 月 3 日 (水) 23 時 31 分 56 秒 (日本時間)
5511e7128 / 17466Dmitry DomanovSeptember 7, 2018 07:26:52 UTC 2018 年 9 月 7 日 (金) 16 時 26 分 52 秒 (日本時間)

163×10236-19

c225

composite cofactor 合成数の残り
650759934444019875165334255682875562299481199996716897398425549108065402325795673990333238148680425923817074433506396456046313507950042662352463118646499702736253223670582717865870689359841812782643423175299251330139422689139<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:19 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 19 秒 (日本時間)
4511e61385585CypJanuary 28, 2015 13:27:05 UTC 2015 年 1 月 28 日 (水) 22 時 27 分 5 秒 (日本時間)
800Dmitry DomanovOctober 27, 2015 12:08:56 UTC 2015 年 10 月 27 日 (火) 21 時 8 分 56 秒 (日本時間)
5043e6600 / 6922300Dmitry DomanovJanuary 25, 2016 17:07:41 UTC 2016 年 1 月 26 日 (火) 2 時 7 分 41 秒 (日本時間)
300Dmitry DomanovAugust 29, 2018 16:08:58 UTC 2018 年 8 月 30 日 (木) 1 時 8 分 58 秒 (日本時間)
5511e7128 / 17466Dmitry DomanovSeptember 4, 2018 22:21:14 UTC 2018 年 9 月 5 日 (水) 7 時 21 分 14 秒 (日本時間)

163×10237-19

c237

composite cofactor 合成数の残り
194743130227001194743130227001194743130227001194743130227001194743130227001194743130227001194743130227001194743130227001194743130227001194743130227001194743130227001194743130227001194743130227001194743130227001194743130227001194743130227<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:54 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 54 秒 (日本時間)
4511e630001000Serge BatalovDecember 18, 2014 00:18:58 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 58 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 01:48:47 UTC 2014 年 12 月 18 日 (木) 10 時 48 分 47 秒 (日本時間)
1000Serge BatalovDecember 21, 2014 10:24:54 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 54 秒 (日本時間)
5043e6280 / 6792Dmitry DomanovSeptember 4, 2018 20:04:10 UTC 2018 年 9 月 5 日 (水) 5 時 4 分 10 秒 (日本時間)

163×10239-19

c217

composite cofactor 合成数の残り
5832004313143385838659497579133535242972550314898071117871846991916813574994605872988808906103940786793845735596939755046394958510213506261345697571277019613148107313486288926308842922577304014811542737801924596063143<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 9, 2014 08:11:06 UTC 2014 年 12 月 9 日 (火) 17 時 11 分 6 秒 (日本時間)
4511e61391591CypJanuary 25, 2015 13:51:15 UTC 2015 年 1 月 25 日 (日) 22 時 51 分 15 秒 (日本時間)
800Dmitry DomanovDecember 21, 2015 11:14:15 UTC 2015 年 12 月 21 日 (月) 20 時 14 分 15 秒 (日本時間)
5043e6600 / 6921300Dmitry DomanovJanuary 25, 2016 17:08:36 UTC 2016 年 1 月 26 日 (火) 2 時 8 分 36 秒 (日本時間)
300Dmitry DomanovAugust 28, 2018 21:45:11 UTC 2018 年 8 月 29 日 (水) 6 時 45 分 11 秒 (日本時間)
5511e7128 / 17466Dmitry DomanovSeptember 4, 2018 14:47:49 UTC 2018 年 9 月 4 日 (火) 23 時 47 分 49 秒 (日本時間)

163×10241-19

c240

name 名前Cyp
date 日付December 8, 2014 07:04:49 UTC 2014 年 12 月 8 日 (月) 16 時 4 分 49 秒 (日本時間)
composite number 合成数
790878214459000485201358563803978651140223192624939349830179524502668607472100921882581271227559437166424065987384764677341096555070354196991751576904415332362930616205725376031052886948083454633672974284327996118389131489568170790878214459<240>
prime factors 素因数
4906834437499819884781366189163<31>
161178907609928812882540197776830831930172094544206975360488498172090586140362342350128461222183281549171551713403760653732764470268634841836753269752183274017888882298235313118096312058008673706773020961262193<210>
factorization results 素因数分解の結果
Run 143 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1621564888
Step 1 took 24753ms
Step 2 took 7646ms
********** Factor found in step 2: 4906834437499819884781366189163
Found probable prime factor of 31 digits: 4906834437499819884781366189163
Probable prime cofactor 161178907609928812882540197776830831930172094544206975360488498172090586140362342350128461222183281549171551713403760653732764470268634841836753269752183274017888882298235313118096312058008673706773020961262193 has 210 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 503Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6143 / 2318CypDecember 8, 2014 07:04:48 UTC 2014 年 12 月 8 日 (月) 16 時 4 分 48 秒 (日本時間)

163×10242-19

c232

name 名前Dmitry Domanov
date 日付December 22, 2015 09:54:20 UTC 2015 年 12 月 22 日 (火) 18 時 54 分 20 秒 (日本時間)
composite number 合成数
2380701481695298344795123758188592093949037890552733335437725722815867461252104589058611201927606751470139477044610374400961643414530576651245397839200917493768723122542958356993908773977782956517389587887891158073154654240072941279<232>
prime factors 素因数
19269193861853144293809412946007507769981<41>
composite cofactor 合成数の残り
123549614932689409399104988931713348580505677583174767747348123661649406526913984546622100358684083010570828142670127142681096399472265958801485773464300853649697666422389013625124759704920459<192>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1141462575
Step 1 took 120271ms
Step 2 took 37260ms
********** Factor found in step 2: 19269193861853144293809412946007507769981
Found probable prime factor of 41 digits: 19269193861853144293809412946007507769981

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:19 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 19 秒 (日本時間)
4511e6138598CypDecember 29, 2014 09:41:22 UTC 2014 年 12 月 29 日 (月) 18 時 41 分 22 秒 (日本時間)
487CypMay 21, 2015 13:32:42 UTC 2015 年 5 月 21 日 (木) 22 時 32 分 42 秒 (日本時間)
800Dmitry DomanovDecember 22, 2015 08:16:03 UTC 2015 年 12 月 22 日 (火) 17 時 16 分 3 秒 (日本時間)
5043e6660 / 6990300Dmitry DomanovJanuary 25, 2016 17:08:54 UTC 2016 年 1 月 26 日 (火) 2 時 8 分 54 秒 (日本時間)
360Dmitry DomanovFebruary 3, 2016 14:35:19 UTC 2016 年 2 月 3 日 (水) 23 時 35 分 19 秒 (日本時間)
5511e7100 / 17445Dmitry DomanovSeptember 4, 2018 16:16:53 UTC 2018 年 9 月 5 日 (水) 1 時 16 分 53 秒 (日本時間)

163×10243-19

c240

composite cofactor 合成数の残り
415516349166290662608372017140686698123548560605481246956916307869573751602796960357700945490882857528875837087000966139241313031663365478493842455574164569966070413451513320740383855532867853055064838394730334987751189829791247645194923053<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:59 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 59 秒 (日本時間)
4511e640001000Serge BatalovDecember 18, 2014 00:19:04 UTC 2014 年 12 月 18 日 (木) 9 時 19 分 4 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 01:48:53 UTC 2014 年 12 月 18 日 (木) 10 時 48 分 53 秒 (日本時間)
1000Serge BatalovDecember 21, 2014 10:25:01 UTC 2014 年 12 月 21 日 (日) 19 時 25 分 1 秒 (日本時間)
1000Serge BatalovMarch 18, 2015 22:54:55 UTC 2015 年 3 月 19 日 (木) 7 時 54 分 55 秒 (日本時間)

163×10244-19

c223

composite cofactor 合成数の残り
5099209517502913725210574503768348262900805805591286499109692662217719434358111036766925118784376028018979808887340409677310222367173902207922054239236563822133044479181359784974760321089013203698836645764685228122904286449<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:20 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 20 秒 (日本時間)
4511e61385585CypJuly 28, 2015 07:03:04 UTC 2015 年 7 月 28 日 (火) 16 時 3 分 4 秒 (日本時間)
800Dmitry DomanovDecember 22, 2015 08:15:07 UTC 2015 年 12 月 22 日 (火) 17 時 15 分 7 秒 (日本時間)
5043e6600 / 6922300Dmitry DomanovJanuary 25, 2016 17:09:26 UTC 2016 年 1 月 26 日 (火) 2 時 9 分 26 秒 (日本時間)
300Dmitry DomanovAugust 28, 2018 16:11:34 UTC 2018 年 8 月 29 日 (水) 1 時 11 分 34 秒 (日本時間)
5511e7128 / 17466Dmitry DomanovSeptember 4, 2018 14:46:37 UTC 2018 年 9 月 4 日 (火) 23 時 46 分 37 秒 (日本時間)

163×10245-19

c247

name 名前NFS@home + Rich Smith
date 日付February 17, 2020 17:11:35 UTC 2020 年 2 月 18 日 (火) 2 時 11 分 35 秒 (日本時間)
composite number 合成数
1811111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<247>
prime factors 素因数
141268475324147465483430889118302739841915908831961841<54>
12820348679742083858120965867504452759342596639912218577605977465043021193581299676404321626125195693193239502278071076713491377148147883285283585898361377069457850445552398418401803754676924471<194>
factorization results 素因数分解の結果
p54 factor: 141268475324147465483430889118302739841915908831961841
p194 factor: 12820348679742083858120965867504452759342596639912218577605977465043021193581299676404321626125195693193239502278071076713491377148147883285283585898361377069457850445552398418401803754676924471
Complete post-processing log at: https://pastebin.com/MHjwtL8w
software ソフトウェア
GGNFS-lasieve4I14e + Msieve
execution environment 実行環境
Core i7-10510U

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62600280CypDecember 7, 2014 20:45:20 UTC 2014 年 12 月 8 日 (月) 5 時 45 分 20 秒 (日本時間)
2320Serge BatalovDecember 9, 2014 19:26:06 UTC 2014 年 12 月 10 日 (水) 4 時 26 分 6 秒 (日本時間)
4511e640001000Serge BatalovDecember 18, 2014 00:19:05 UTC 2014 年 12 月 18 日 (木) 9 時 19 分 5 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 01:48:55 UTC 2014 年 12 月 18 日 (木) 10 時 48 分 55 秒 (日本時間)
2000Serge BatalovDecember 20, 2014 04:02:09 UTC 2014 年 12 月 20 日 (土) 13 時 2 分 9 秒 (日本時間)
5043e62000Serge BatalovJanuary 4, 2015 08:43:28 UTC 2015 年 1 月 4 日 (日) 17 時 43 分 28 秒 (日本時間)
5511e7182001000Serge BatalovJanuary 4, 2015 08:57:11 UTC 2015 年 1 月 4 日 (日) 17 時 57 分 11 秒 (日本時間)
1100Serge BatalovJanuary 4, 2015 10:43:22 UTC 2015 年 1 月 4 日 (日) 19 時 43 分 22 秒 (日本時間)
1100Serge BatalovJanuary 6, 2015 01:23:40 UTC 2015 年 1 月 6 日 (火) 10 時 23 分 40 秒 (日本時間)
15000yoyo@homeJanuary 20, 2019 12:36:36 UTC 2019 年 1 月 20 日 (日) 21 時 36 分 36 秒 (日本時間)

163×10246-19

c243

composite cofactor 合成数の残り
368179364337198087274320731660488933160763373607186499788805088555042814968411114047510949383243095507534124354274381718426360738978900837777461550102886932794842778376351590964020066904740930477345675247730501740381596452828995367264562849121<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:58:00 UTC 2014 年 12 月 9 日 (火) 9 時 58 分 0 秒 (日本時間)
4511e640001000Serge BatalovDecember 18, 2014 00:19:05 UTC 2014 年 12 月 18 日 (木) 9 時 19 分 5 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 01:48:54 UTC 2014 年 12 月 18 日 (木) 10 時 48 分 54 秒 (日本時間)
1000Serge BatalovDecember 21, 2014 10:25:05 UTC 2014 年 12 月 21 日 (日) 19 時 25 分 5 秒 (日本時間)
1000Serge BatalovDecember 22, 2014 02:57:06 UTC 2014 年 12 月 22 日 (月) 11 時 57 分 6 秒 (日本時間)

163×10247-19

c165

name 名前Serge Batalov
date 日付December 9, 2014 01:02:21 UTC 2014 年 12 月 9 日 (火) 10 時 2 分 21 秒 (日本時間)
composite number 合成数
484270909907464852147418954451227138511137574769895626049143344447280405499745915135239478035226981924064900692396778948541204569266360305885392415938800655002911389<165>
prime factors 素因数
551666987121475335981383388893<30>
877831955169776944542769276122252481024748394275361208023830874766422734413241550990649199908733348390605752543253915164523760633505473<135>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1416054127
Step 1 took 10992ms
Step 2 took 8720ms
********** Factor found in step 2: 551666987121475335981383388893
Found probable prime factor of 30 digits: 551666987121475335981383388893
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:31 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 31 秒 (日本時間)

163×10248-19

c169

composite cofactor 合成数の残り
6961513311599546844368623790120095235621393399945332510332132188635454173335227449294627730012171266103163861566822995754309925953911612741666435750714303498142747487643<169>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62600280CypDecember 8, 2014 02:37:45 UTC 2014 年 12 月 8 日 (月) 11 時 37 分 45 秒 (日本時間)
2320Serge BatalovDecember 9, 2014 19:26:01 UTC 2014 年 12 月 10 日 (水) 4 時 26 分 1 秒 (日本時間)
4511e62000Serge BatalovDecember 22, 2014 02:52:21 UTC 2014 年 12 月 22 日 (月) 11 時 52 分 21 秒 (日本時間)
5043e60--
5511e73200 / 17624CypJanuary 6, 2015 05:58:52 UTC 2015 年 1 月 6 日 (火) 14 時 58 分 52 秒 (日本時間)

163×10249-19

c240

composite cofactor 合成数の残り
257885042563006107967839977960548880361710832341092062997590145916059022606182727114613288763834386165273474012953426458494915639644765369929287535276897125200614564959579324283761852587654154179592732652568119206525149386846390596486726263<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:20 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 20 秒 (日本時間)
4511e62401585CypJanuary 25, 2015 19:58:54 UTC 2015 年 1 月 26 日 (月) 4 時 58 分 54 秒 (日本時間)
816Dmitry DomanovOctober 26, 2015 20:48:42 UTC 2015 年 10 月 27 日 (火) 5 時 48 分 42 秒 (日本時間)
1000Dmitry DomanovAugust 29, 2018 14:40:36 UTC 2018 年 8 月 29 日 (水) 23 時 40 分 36 秒 (日本時間)
5043e6300 / 6673Dmitry DomanovJanuary 25, 2016 17:09:56 UTC 2016 年 1 月 26 日 (火) 2 時 9 分 56 秒 (日本時間)
5511e7120 / 17491Dmitry DomanovSeptember 3, 2018 23:08:35 UTC 2018 年 9 月 4 日 (火) 8 時 8 分 35 秒 (日本時間)
6026e78 / 41899Dmitry DomanovSeptember 4, 2018 11:22:58 UTC 2018 年 9 月 4 日 (火) 20 時 22 分 58 秒 (日本時間)

163×10250-19

c194

name 名前Dmitry Domanov
date 日付September 4, 2018 14:07:04 UTC 2018 年 9 月 4 日 (火) 23 時 7 分 4 秒 (日本時間)
composite number 合成数
52295587070688321471832398669959341773591425737833445842348881372659970976396448048140044651736182793676456222213340491623952518763433158582492611340934603893119349445432329003457091555932148979<194>
prime factors 素因数
39936628967470447324768988546812423988135377003<47>
composite cofactor 合成数の残り
1309464229273948161581942072072739582340326399068669712888270907650025836273721367626995238973765767747595355717211990099732178527717237138062595993<148>
factorization results 素因数分解の結果
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1907674387
Step 1 took 404400ms
Step 2 took 97683ms
********** Factor found in step 2: 39936628967470447324768988546812423988135377003
Found probable prime factor of 47 digits: 39936628967470447324768988546812423988135377003

c148

name 名前Bob Backstrom
date 日付July 9, 2024 14:52:52 UTC 2024 年 7 月 9 日 (火) 23 時 52 分 52 秒 (日本時間)
composite number 合成数
1309464229273948161581942072072739582340326399068669712888270907650025836273721367626995238973765767747595355717211990099732178527717237138062595993<148>
prime factors 素因数
4048277623935552900477839912066474956172321518343819507706079453273<67>
323462062367389246352481966076956165615529773117651292648830343844623152309176641<81>
factorization results 素因数分解の結果
CADO:

STA:Sun Jul 7 04:29:40 AM AEST 2024 (1309464229273948161581942072072739582340326399068669712888270907650025836273721367626995238973765767747595355717211990099732178527717237138062595993 - C148)

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors 1309464229273948161581942072072739582340326399068669712888270907650025836273721367626995238973765767747595355717211990099732178527717237138062595993 2>&1 | tee -a log-51 

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py:93: DeprecationWarning: 'locale.getdefaultlocale' is deprecated and slated for removal in Python 3.15. Use setlocale(), getencoding() and getlocale() instead.
  loc = locale.getdefaultlocale()[1]
Info:root: Using default parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c148
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.kh_8ci5d
Info:Database: Opened connection to database /tmp/cado.kh_8ci5d/c148.db
Info:root: Set tasks.threads=18 based on --server-threads 18
Info:root: tasks.threads = 18 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 18 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Downloads/Math/cado-nfs/build/VM9
Info:root: Command line parameters: /home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors 1309464229273948161581942072072739582340326399068669712888270907650025836273721367626995238973765767747595355717211990099732178527717237138062595993
Info:root: If this computation gets interrupted, it can be resumed with /home/bob/Downloads/Math/cado-nfs/cado-nfs.py /tmp/cado.kh_8ci5d/c148.parameters_snapshot.0
Info:Server Launcher: Adding VM9 to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,VM9
Info:Lattice Sieving: param rels_wanted is 119000000
Info:Complete Factorization / Discrete logarithm: Factoring 1309464229273948161581942072072739582340326399068669712888270907650025836273721367626995238973765767747595355717211990099732178527717237138062595993
Info:HTTP server: serving at https://VM9:37275 (0.0.0.0)
===
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 1309464229273948161581942072072739582340326399068669712888270907650025836273721367626995238973765767747595355717211990099732178527717237138062595993
skew: 339262.2
c0: -239066097479959691261431414795470
c1: -14309470030778056391587689073
c2: 435481828979435477698510
c3: 315973858488838697 
c4: -1540130062760 
c5: 928200
Y0: -26736738558744554823690502448
Y1: 42758789567951048222989
# MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=3.087e+14) = 6.202e-07
# f(x) = 928200*x^5-1540130062760*x^4+315973858488838697*x^3+435481828979435477698510*x^2-14309470030778056391587689073*x-239066097479959691261431414795470
# g(x) = 42758789567951048222989*x-26736738558744554823690502448
Info:Polynomial Selection (root optimized): Best overall polynomial was 30-th in list after size optimization
===
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 4048277623935552900477839912066474956172321518343819507706079453273 323462062367389246352481966076956165615529773117651292648830343844623152309176641
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 3196.97/387.374
Info:HTTP server: Got notification to stop serving Workunits
Info:Generate Free Relations: Total cpu/real time for freerel: 859.93/101.209
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 117089
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 80815/43.820/54.979/66.290/2.387
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 68810/42.620/47.725/57.640/1.228
Info:Polynomial Selection (size optimized): Total time: 49521.9
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 119064430
Info:Lattice Sieving: Average J: 7655.67 for 716510 special-q, max bucket fill -bkmult 1.0,1s:1.154130
Info:Lattice Sieving: Total time: 1.29845e+06s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 584.37/419.628
Info:Linear Algebra: Total cpu/real time for bwc: 77470.9/10113.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 47230.26, WCT time 6090.74, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (84000 iterations)
Info:Linear Algebra: Lingen CPU time 112.75, WCT time 113.9
Info:Linear Algebra: Mksol: CPU time 25120.83,  WCT time 3285.28, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (44000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 79.44/21.9432 
Info:Generate Factor Base: Total cpu/real time for makefb: 6.45/1.16349
Info:Filtering - Merging: Total cpu/real time for merge: 253.21/40.4984
Info:Filtering - Merging: Total cpu/real time for replay: 46.77/41.1573
Info:Square Root: Total cpu/real time for sqrt: 3196.97/387.374
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 516.63/461.727
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 461.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1465.9/974.174
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 827.9000000000001s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 4050.61
Info:Polynomial Selection (root optimized): Rootsieve time: 4050.06
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.37248e+06/164192 [1d 21:36:32]
Info:root: Cleaning up computation data in /tmp/cado.kh_8ci5d
4048277623935552900477839912066474956172321518343819507706079453273 323462062367389246352481966076956165615529773117651292648830343844623152309176641

END:Tue Jul 9 02:06:14 AM AEST 2024 (1309464229273948161581942072072739582340326399068669712888270907650025836273721367626995238973765767747595355717211990099732178527717237138062595993 - C148)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e61300300Serge BatalovDecember 10, 2014 19:49:20 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 20 秒 (日本時間)
1000Dmitry DomanovDecember 17, 2014 13:29:16 UTC 2014 年 12 月 17 日 (水) 22 時 29 分 16 秒 (日本時間)
4511e61200Dmitry DomanovApril 2, 2015 20:04:09 UTC 2015 年 4 月 3 日 (金) 5 時 4 分 9 秒 (日本時間)
5043e67154700Dmitry DomanovOctober 26, 2015 08:53:17 UTC 2015 年 10 月 26 日 (月) 17 時 53 分 17 秒 (日本時間)
6454Ignacio SantosJuly 31, 2021 20:05:41 UTC 2021 年 8 月 1 日 (日) 5 時 5 分 41 秒 (日本時間)
5511e772 / 15129Dmitry DomanovSeptember 4, 2018 11:24:40 UTC 2018 年 9 月 4 日 (火) 20 時 24 分 40 秒 (日本時間)
6026e71 / 41132Dmitry DomanovSeptember 4, 2018 11:25:10 UTC 2018 年 9 月 4 日 (火) 20 時 25 分 10 秒 (日本時間)

163×10252-19

c241

composite cofactor 合成数の残り
4682083485288649525075390722992408792066469599477238837347721020824746836152126063494448062171978679456025788448476107187994968361666386623914461122637814174976132142408804064806899538420166023716852965456441236824677477270927009427801207239<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 3, 2016 19:39:33 UTC 2016 年 1 月 4 日 (月) 4 時 39 分 33 秒 (日本時間)
4511e61400600Dmitry DomanovJanuary 12, 2016 10:17:33 UTC 2016 年 1 月 12 日 (火) 19 時 17 分 33 秒 (日本時間)
800Dmitry DomanovJanuary 16, 2016 18:05:08 UTC 2016 年 1 月 17 日 (日) 3 時 5 分 8 秒 (日本時間)
5043e6700 / 7062300Dmitry DomanovJanuary 19, 2016 13:57:54 UTC 2016 年 1 月 19 日 (火) 22 時 57 分 54 秒 (日本時間)
400Dmitry DomanovJanuary 26, 2016 17:02:27 UTC 2016 年 1 月 27 日 (水) 2 時 2 分 27 秒 (日本時間)
5511e760 / 17424Dmitry DomanovFebruary 2, 2016 12:40:16 UTC 2016 年 2 月 2 日 (火) 21 時 40 分 16 秒 (日本時間)
6026e71 / 41890Dmitry DomanovFebruary 2, 2016 12:41:06 UTC 2016 年 2 月 2 日 (火) 21 時 41 分 6 秒 (日本時間)

163×10253-19

c184

name 名前Dmitry Domanov
date 日付January 17, 2016 20:15:46 UTC 2016 年 1 月 18 日 (月) 5 時 15 分 46 秒 (日本時間)
composite number 合成数
1332925546559277372548240663112664854224052989058838585804163226016962530730120285910712230777642882305628028494757191090667831650940132540001478960557742711769062367076231670887500617<184>
prime factors 素因数
22648145620157117377461218731688656837801987<44>
58853628412427632774908083772604103100611928285245076134263800918212623728901069501038449045573425585295970835422011619312658756191217175491<140>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3322954392
Step 1 took 71121ms
********** Factor found in step 1: 22648145620157117377461218731688656837801987
Found probable prime factor of 44 digits: 22648145620157117377461218731688656837801987

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 3, 2016 19:40:23 UTC 2016 年 1 月 4 日 (月) 4 時 40 分 23 秒 (日本時間)
4511e61400 / 4306600Dmitry DomanovJanuary 10, 2016 09:24:52 UTC 2016 年 1 月 10 日 (日) 18 時 24 分 52 秒 (日本時間)
800Dmitry DomanovJanuary 16, 2016 18:10:38 UTC 2016 年 1 月 17 日 (日) 3 時 10 分 38 秒 (日本時間)

163×10254-19

c207

composite cofactor 合成数の残り
164487838205782038290438557199327469617764315146700168040748569555090314612280647747239837946707972673712897421596076293867838964413909042195156511817388975406307002880665396854059391088336911277692069970277<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 3, 2016 19:40:39 UTC 2016 年 1 月 4 日 (月) 4 時 40 分 39 秒 (日本時間)
4511e61400600Dmitry DomanovJanuary 10, 2016 09:24:35 UTC 2016 年 1 月 10 日 (日) 18 時 24 分 35 秒 (日本時間)
800Dmitry DomanovJanuary 16, 2016 18:10:01 UTC 2016 年 1 月 17 日 (日) 3 時 10 分 1 秒 (日本時間)
5043e6840 / 7211300Dmitry DomanovJanuary 19, 2016 13:58:14 UTC 2016 年 1 月 19 日 (火) 22 時 58 分 14 秒 (日本時間)
300Dmitry DomanovJanuary 26, 2016 14:18:57 UTC 2016 年 1 月 26 日 (火) 23 時 18 分 57 秒 (日本時間)
240Dmitry DomanovJanuary 30, 2016 23:13:25 UTC 2016 年 1 月 31 日 (日) 8 時 13 分 25 秒 (日本時間)

163×10256-19

c213

composite cofactor 合成数の残り
625170976388439502451738671097856079872811375293095478195535157623396824300599397298923654801302977283086681232276523563392096805965766632892315070817329868908670109591843206310626784876134790782948941602816865571<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 3, 2016 19:41:02 UTC 2016 年 1 月 4 日 (月) 4 時 41 分 2 秒 (日本時間)
4511e61400600Dmitry DomanovJanuary 10, 2016 09:25:11 UTC 2016 年 1 月 10 日 (日) 18 時 25 分 11 秒 (日本時間)
800Dmitry DomanovJanuary 16, 2016 18:09:26 UTC 2016 年 1 月 17 日 (日) 3 時 9 分 26 秒 (日本時間)
5043e6840 / 7211300Dmitry DomanovJanuary 19, 2016 13:58:30 UTC 2016 年 1 月 19 日 (火) 22 時 58 分 30 秒 (日本時間)
300Dmitry DomanovJanuary 26, 2016 14:19:13 UTC 2016 年 1 月 26 日 (火) 23 時 19 分 13 秒 (日本時間)
240Dmitry DomanovJanuary 30, 2016 23:13:44 UTC 2016 年 1 月 31 日 (日) 8 時 13 分 44 秒 (日本時間)

163×10257-19

c211

name 名前KTakahashi
date 日付January 1, 2016 08:06:39 UTC 2016 年 1 月 1 日 (金) 17 時 6 分 39 秒 (日本時間)
composite number 合成数
9233793333309077856677438022818757861534082204806362469004630875009599475473439776826369374900537530582190729198269883044758629125964507188219144757655894820495607403867549014123954708165557214505910355144137619<211>
prime factors 素因数
15479241770647966412193840755581507<35>
composite cofactor 合成数の残り
596527495992624971793054505720538035976778269566848291432548806267178078224361162783687760190011961455581730117939072126469613538774016290578708439868170432800221915102695036017<177>
factorization results 素因数分解の結果
Input number is 9233793333309077856677438022818757861534082204806362469004630875009599475473439776826369374900537530582190729198269883044758629125964507188219144757655894820495607403867549014123954708165557214505910355144137619 (211 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1319166371
Step 1 took 6068ms
Step 2 took 3261ms
********** Factor found in step 2: 15479241770647966412193840755581507
Found probable prime factor of 35 digits: 15479241770647966412193840755581507
Composite cofactor
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 3, 2016 19:41:35 UTC 2016 年 1 月 4 日 (月) 4 時 41 分 35 秒 (日本時間)
4511e61400600Dmitry DomanovJanuary 10, 2016 09:25:23 UTC 2016 年 1 月 10 日 (日) 18 時 25 分 23 秒 (日本時間)
800Dmitry DomanovJanuary 16, 2016 18:09:12 UTC 2016 年 1 月 17 日 (日) 3 時 9 分 12 秒 (日本時間)
5043e62092 / 6575300Dmitry DomanovJanuary 19, 2016 13:58:46 UTC 2016 年 1 月 19 日 (火) 22 時 58 分 46 秒 (日本時間)
1792Dmitry DomanovMay 7, 2024 04:47:05 UTC 2024 年 5 月 7 日 (火) 13 時 47 分 5 秒 (日本時間)
5511e7264 / 16930Dmitry DomanovJanuary 22, 2016 13:58:49 UTC 2016 年 1 月 22 日 (金) 22 時 58 分 49 秒 (日本時間)

163×10259-19

c216

name 名前Dmitry Domanov
date 日付January 4, 2016 09:25:13 UTC 2016 年 1 月 4 日 (月) 18 時 25 分 13 秒 (日本時間)
composite number 合成数
162256705456677218013311620232369827418343146486221391185142949255574188691529720197607946854895874257383659751522601348195568785916922315699763080566831000706553160334300113944796628184742057352772167358854589547781<216>
prime factors 素因数
66908396217013996422567027930326325221<38>
composite cofactor 合成数の残り
2425057461105565986433583668260319656880755081149702981600643100935582737298339847951422775229835838598098796984135384134548742940493094451341305424097514869423543359912496883361<178>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1399140844
Step 1 took 24349ms
Step 2 took 7354ms
********** Factor found in step 2: 66908396217013996422567027930326325221
Found probable prime factor of 38 digits: 66908396217013996422567027930326325221

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 3, 2016 19:41:47 UTC 2016 年 1 月 4 日 (月) 4 時 41 分 47 秒 (日本時間)
4511e61400600Dmitry DomanovJanuary 10, 2016 09:25:45 UTC 2016 年 1 月 10 日 (日) 18 時 25 分 45 秒 (日本時間)
800Dmitry DomanovJanuary 16, 2016 18:08:57 UTC 2016 年 1 月 17 日 (日) 3 時 8 分 57 秒 (日本時間)
5043e62632 / 7211300Dmitry DomanovJanuary 19, 2016 13:59:02 UTC 2016 年 1 月 19 日 (火) 22 時 59 分 2 秒 (日本時間)
540Dmitry DomanovJanuary 22, 2016 08:26:44 UTC 2016 年 1 月 22 日 (金) 17 時 26 分 44 秒 (日本時間)
1792Dmitry DomanovMay 3, 2024 23:08:03 UTC 2024 年 5 月 4 日 (土) 8 時 8 分 3 秒 (日本時間)

163×10261-19

c222

composite cofactor 合成数の残り
854082306020459331510633641107873638687711707023256370525975674868769890845539838064938162897407756651484185545693760517943972959948909236786907430946004866451850593431258925570317546626539905694644780986624622573834159387<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 3, 2016 19:42:06 UTC 2016 年 1 月 4 日 (月) 4 時 42 分 6 秒 (日本時間)
4511e61400600Dmitry DomanovJanuary 12, 2016 10:18:45 UTC 2016 年 1 月 12 日 (火) 19 時 18 分 45 秒 (日本時間)
800Dmitry DomanovJanuary 16, 2016 18:08:36 UTC 2016 年 1 月 17 日 (日) 3 時 8 分 36 秒 (日本時間)
5043e6600 / 6922300Dmitry DomanovJanuary 19, 2016 13:59:21 UTC 2016 年 1 月 19 日 (火) 22 時 59 分 21 秒 (日本時間)
300Dmitry DomanovJanuary 26, 2016 14:20:04 UTC 2016 年 1 月 26 日 (火) 23 時 20 分 4 秒 (日本時間)
5511e7120 / 17462Dmitry DomanovFebruary 2, 2016 13:49:36 UTC 2016 年 2 月 2 日 (火) 22 時 49 分 36 秒 (日本時間)

163×10263-19

c223

composite cofactor 合成数の残り
9063312971057135360389354607768742479230512454587325806492579749881627349909713389416708215108130075993532463205064500445814920436965972027842527987802072926299806746172208929898831684236572933033982455074498216147558084671<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 3, 2016 19:42:18 UTC 2016 年 1 月 4 日 (月) 4 時 42 分 18 秒 (日本時間)
4511e61400600Dmitry DomanovJanuary 12, 2016 10:19:19 UTC 2016 年 1 月 12 日 (火) 19 時 19 分 19 秒 (日本時間)
800Dmitry DomanovJanuary 16, 2016 18:08:12 UTC 2016 年 1 月 17 日 (日) 3 時 8 分 12 秒 (日本時間)
5043e6600 / 6922300Dmitry DomanovJanuary 19, 2016 13:59:38 UTC 2016 年 1 月 19 日 (火) 22 時 59 分 38 秒 (日本時間)
300Dmitry DomanovJanuary 26, 2016 14:21:08 UTC 2016 年 1 月 26 日 (火) 23 時 21 分 8 秒 (日本時間)
5511e7120 / 17462Dmitry DomanovFebruary 2, 2016 13:48:52 UTC 2016 年 2 月 2 日 (火) 22 時 48 分 52 秒 (日本時間)

163×10266-19

c238

composite cofactor 合成数の残り
4755796083000021545253912700602243144483364852280081932107928669406633257689638250233326225617298613970411979258890021872048038891074451214293445139093678118322383331138745761122057104944517519345559389712256877547929988182426981535833899<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 3, 2016 19:42:34 UTC 2016 年 1 月 4 日 (月) 4 時 42 分 34 秒 (日本時間)
4511e61400600Dmitry DomanovJanuary 12, 2016 10:18:21 UTC 2016 年 1 月 12 日 (火) 19 時 18 分 21 秒 (日本時間)
800Dmitry DomanovJanuary 16, 2016 18:04:42 UTC 2016 年 1 月 17 日 (日) 3 時 4 分 42 秒 (日本時間)
5043e6600 / 6922300Dmitry DomanovJanuary 19, 2016 14:00:08 UTC 2016 年 1 月 19 日 (火) 23 時 0 分 8 秒 (日本時間)
300Dmitry DomanovJanuary 26, 2016 14:21:26 UTC 2016 年 1 月 26 日 (火) 23 時 21 分 26 秒 (日本時間)
5511e7120 / 17462Dmitry DomanovFebruary 2, 2016 13:49:15 UTC 2016 年 2 月 2 日 (火) 22 時 49 分 15 秒 (日本時間)

163×10268-19

c222

composite cofactor 合成数の残り
112825950995737825374845473786433881616245362587759653542746456419396797784515756125009613818146306391555469901603336601089548817293166106061273665502448706581774850298987242744308454566305968648249595303685634779503230911<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 3, 2016 19:42:45 UTC 2016 年 1 月 4 日 (月) 4 時 42 分 45 秒 (日本時間)
4511e61400600Dmitry DomanovJanuary 12, 2016 10:23:07 UTC 2016 年 1 月 12 日 (火) 19 時 23 分 7 秒 (日本時間)
800Dmitry DomanovJanuary 16, 2016 18:06:36 UTC 2016 年 1 月 17 日 (日) 3 時 6 分 36 秒 (日本時間)
5043e6600 / 692230Dmitry DomanovJanuary 19, 2016 14:00:27 UTC 2016 年 1 月 19 日 (火) 23 時 0 分 27 秒 (日本時間)
270Dmitry DomanovJanuary 19, 2016 14:00:45 UTC 2016 年 1 月 19 日 (火) 23 時 0 分 45 秒 (日本時間)
300Dmitry DomanovJanuary 26, 2016 14:21:44 UTC 2016 年 1 月 26 日 (火) 23 時 21 分 44 秒 (日本時間)
5511e7120 / 17462Dmitry DomanovFebruary 2, 2016 13:48:34 UTC 2016 年 2 月 2 日 (火) 22 時 48 分 34 秒 (日本時間)

163×10270-19

c239

name 名前Dmitry Domanov
date 日付January 17, 2016 17:25:00 UTC 2016 年 1 月 18 日 (月) 2 時 25 分 0 秒 (日本時間)
composite number 合成数
53183541004588191058485333614151939068719591525459576094162128653849903062279967554567169418694105659878017484245079225169794974179158476315604715446497888092348654011177478738827841994888548822486435182364651561932768309678369456290758421<239>
prime factors 素因数
4924107468339878951004572608718902106915257223<46>
composite cofactor 合成数の残り
10800645872686156180599609970125119598202890118767701035449855586594121171371603032401494432053172463624479411628032858105675803582487619542471499097738842256995252359337531684894636781026045827<194>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4257834643
Step 1 took 92604ms
Step 2 took 27779ms
********** Factor found in step 2: 4924107468339878951004572608718902106915257223
Found probable prime factor of 46 digits: 4924107468339878951004572608718902106915257223

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 3, 2016 19:42:58 UTC 2016 年 1 月 4 日 (月) 4 時 42 分 58 秒 (日本時間)
4511e61400600Dmitry DomanovJanuary 12, 2016 10:23:43 UTC 2016 年 1 月 12 日 (火) 19 時 23 分 43 秒 (日本時間)
80Dmitry DomanovJanuary 16, 2016 18:04:11 UTC 2016 年 1 月 17 日 (日) 3 時 4 分 11 秒 (日本時間)
720Dmitry DomanovJanuary 16, 2016 18:04:28 UTC 2016 年 1 月 17 日 (日) 3 時 4 分 28 秒 (日本時間)
5043e6840 / 7211300Dmitry DomanovJanuary 18, 2016 13:36:33 UTC 2016 年 1 月 18 日 (月) 22 時 36 分 33 秒 (日本時間)
300Dmitry DomanovJanuary 26, 2016 11:02:28 UTC 2016 年 1 月 26 日 (火) 20 時 2 分 28 秒 (日本時間)
240Dmitry DomanovJanuary 30, 2016 23:12:36 UTC 2016 年 1 月 31 日 (日) 8 時 12 分 36 秒 (日本時間)

163×10271-19

c230

composite cofactor 合成数の残り
81801465181397855074916445010300141138961746479091621758851791662761511803404222008578718581770253454356077531876145390422062070974446628550560533149850742699992321228754837371908941994864962782587665222565198473143248879776593297<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 3, 2016 19:43:25 UTC 2016 年 1 月 4 日 (月) 4 時 43 分 25 秒 (日本時間)
4511e61400600Dmitry DomanovJanuary 12, 2016 12:12:40 UTC 2016 年 1 月 12 日 (火) 21 時 12 分 40 秒 (日本時間)
800Dmitry DomanovJanuary 16, 2016 18:05:32 UTC 2016 年 1 月 17 日 (日) 3 時 5 分 32 秒 (日本時間)
5043e6600 / 6922300Dmitry DomanovJanuary 19, 2016 14:01:03 UTC 2016 年 1 月 19 日 (火) 23 時 1 分 3 秒 (日本時間)
300Dmitry DomanovJanuary 26, 2016 14:22:16 UTC 2016 年 1 月 26 日 (火) 23 時 22 分 16 秒 (日本時間)
5511e7120 / 17462Dmitry DomanovFebruary 2, 2016 13:47:08 UTC 2016 年 2 月 2 日 (火) 22 時 47 分 8 秒 (日本時間)

163×10272-19

c205

composite cofactor 合成数の残り
1748667681786641912133482383095390457184117348180606389456096241644619233384407807488276069844151990280829343320889905857039707591587060857576933430331467363602245706333699444016116897734988534952016005679<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 3, 2016 19:43:44 UTC 2016 年 1 月 4 日 (月) 4 時 43 分 44 秒 (日本時間)
4511e61400600Dmitry DomanovJanuary 12, 2016 11:32:31 UTC 2016 年 1 月 12 日 (火) 20 時 32 分 31 秒 (日本時間)
800Dmitry DomanovJanuary 16, 2016 18:07:41 UTC 2016 年 1 月 17 日 (日) 3 時 7 分 41 秒 (日本時間)
5043e6600 / 6922300Dmitry DomanovJanuary 19, 2016 14:01:18 UTC 2016 年 1 月 19 日 (火) 23 時 1 分 18 秒 (日本時間)
300Dmitry DomanovJanuary 26, 2016 11:03:22 UTC 2016 年 1 月 26 日 (火) 20 時 3 分 22 秒 (日本時間)
5511e7120 / 17462Dmitry DomanovFebruary 2, 2016 13:47:43 UTC 2016 年 2 月 2 日 (火) 22 時 47 分 43 秒 (日本時間)

163×10273-19

c227

composite cofactor 合成数の残り
36264472210274960929141442413778475141974162095484532216756912421189351444193662330129106973556850006349034191509279168166845873094887725540299765451059124642590895814521312446129051271884890455248829766078212140146931946974911<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 3, 2016 19:44:02 UTC 2016 年 1 月 4 日 (月) 4 時 44 分 2 秒 (日本時間)
4511e61400600Dmitry DomanovJanuary 12, 2016 12:12:08 UTC 2016 年 1 月 12 日 (火) 21 時 12 分 8 秒 (日本時間)
800Dmitry DomanovJanuary 16, 2016 18:05:48 UTC 2016 年 1 月 17 日 (日) 3 時 5 分 48 秒 (日本時間)
5043e6600 / 6922300Dmitry DomanovJanuary 19, 2016 14:01:40 UTC 2016 年 1 月 19 日 (火) 23 時 1 分 40 秒 (日本時間)
300Dmitry DomanovJanuary 26, 2016 14:22:48 UTC 2016 年 1 月 26 日 (火) 23 時 22 分 48 秒 (日本時間)
5511e7120 / 17462Dmitry DomanovFebruary 2, 2016 13:48:07 UTC 2016 年 2 月 2 日 (火) 22 時 48 分 7 秒 (日本時間)

163×10274-19

c207

composite cofactor 合成数の残り
699321208409109741025657521551131849269583108231738679422786248572121508935700456645135787413376995436147115305356287749301406484189625153413558176982963400696984400947184415702232358428306849738522037889333<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 3, 2016 19:44:18 UTC 2016 年 1 月 4 日 (月) 4 時 44 分 18 秒 (日本時間)
4511e61400600Dmitry DomanovJanuary 12, 2016 11:31:45 UTC 2016 年 1 月 12 日 (火) 20 時 31 分 45 秒 (日本時間)
800Dmitry DomanovJanuary 16, 2016 18:07:24 UTC 2016 年 1 月 17 日 (日) 3 時 7 分 24 秒 (日本時間)
5043e6600 / 6922300Dmitry DomanovJanuary 19, 2016 14:02:00 UTC 2016 年 1 月 19 日 (火) 23 時 2 分 0 秒 (日本時間)
300Dmitry DomanovJanuary 26, 2016 14:23:06 UTC 2016 年 1 月 26 日 (火) 23 時 23 分 6 秒 (日本時間)
5511e7120 / 17462Dmitry DomanovFebruary 2, 2016 13:47:27 UTC 2016 年 2 月 2 日 (火) 22 時 47 分 27 秒 (日本時間)

163×10276-19

c234

composite cofactor 合成数の残り
593196495138180301494312361918055673175015834897340058283459873712463379163462875648284529323106767006970081098158821352821564012185152377146590062153666451020481714681467200275613334271731300862620911302631163761710714038925502501683<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 3, 2016 19:44:37 UTC 2016 年 1 月 4 日 (月) 4 時 44 分 37 秒 (日本時間)
4511e61400600Dmitry DomanovJanuary 12, 2016 14:26:37 UTC 2016 年 1 月 12 日 (火) 23 時 26 分 37 秒 (日本時間)
800Dmitry DomanovJanuary 16, 2016 18:02:53 UTC 2016 年 1 月 17 日 (日) 3 時 2 分 53 秒 (日本時間)
5043e6600 / 6922300Dmitry DomanovJanuary 19, 2016 14:02:25 UTC 2016 年 1 月 19 日 (火) 23 時 2 分 25 秒 (日本時間)
300Dmitry DomanovJanuary 26, 2016 14:23:26 UTC 2016 年 1 月 26 日 (火) 23 時 23 分 26 秒 (日本時間)
5511e7120 / 17462Dmitry DomanovFebruary 2, 2016 13:46:52 UTC 2016 年 2 月 2 日 (火) 22 時 46 分 52 秒 (日本時間)

163×10277-19

c246

composite cofactor 合成数の残り
148804026671837627358649807911189193528299713699882267856124205778002874607828498592436552768620465085307655585167837949949828700077208146113391205496892984048543714764070109928179962766097255753314779612742463986421960414626986366848278067883271<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 3, 2016 19:44:51 UTC 2016 年 1 月 4 日 (月) 4 時 44 分 51 秒 (日本時間)
4511e61400600Dmitry DomanovJanuary 12, 2016 14:26:48 UTC 2016 年 1 月 12 日 (火) 23 時 26 分 48 秒 (日本時間)
800Dmitry DomanovJanuary 20, 2016 10:40:56 UTC 2016 年 1 月 20 日 (水) 19 時 40 分 56 秒 (日本時間)
5043e6600 / 6922300Dmitry DomanovJanuary 20, 2016 10:42:40 UTC 2016 年 1 月 20 日 (水) 19 時 42 分 40 秒 (日本時間)
300Dmitry DomanovJanuary 27, 2016 13:49:16 UTC 2016 年 1 月 27 日 (水) 22 時 49 分 16 秒 (日本時間)
5511e7120 / 17462Dmitry DomanovFebruary 2, 2016 13:46:32 UTC 2016 年 2 月 2 日 (火) 22 時 46 分 32 秒 (日本時間)

163×10279-19

c252

composite cofactor 合成数の残り
154359725675694139579900140119782545504121607351022385881676769253870306614856598871779814718955898871704817534049970944290098224114937371759095027529274136713919121828873447927309503824717169918477923352166477981191025384335033437230552521447989362507<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 3, 2016 09:29:28 UTC 2016 年 1 月 3 日 (日) 18 時 29 分 28 秒 (日本時間)
4511e61400600Dmitry DomanovJanuary 12, 2016 10:24:26 UTC 2016 年 1 月 12 日 (火) 19 時 24 分 26 秒 (日本時間)
800Dmitry DomanovJanuary 16, 2016 18:02:25 UTC 2016 年 1 月 17 日 (日) 3 時 2 分 25 秒 (日本時間)
5043e6600 / 6922300Dmitry DomanovJanuary 20, 2016 10:42:14 UTC 2016 年 1 月 20 日 (水) 19 時 42 分 14 秒 (日本時間)
300Dmitry DomanovJanuary 27, 2016 13:50:42 UTC 2016 年 1 月 27 日 (水) 22 時 50 分 42 秒 (日本時間)
5511e7120 / 17462Dmitry DomanovFebruary 2, 2016 13:45:01 UTC 2016 年 2 月 2 日 (火) 22 時 45 分 1 秒 (日本時間)

163×10280-19

c247

name 名前Dmitry Domanov
date 日付January 4, 2016 09:24:37 UTC 2016 年 1 月 4 日 (月) 18 時 24 分 37 秒 (日本時間)
composite number 合成数
1040902542544233582568874186533037525001676697614164479079559117117211877709483646568314948060785611424830252716453234666697873288990834780525345735055222770832830842381466978258096716633839394478583241690327611462617245203375488483920535156089569<247>
prime factors 素因数
1177657362992169448285292388791089<34>
883875544156178146127512022562043691745572929527336107929552584455338627048601894987948689947825577514017581620893482640167517355104836915917500692754595664759829139173369892257184142587023553328566549504657350321<213>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4070789221
Step 1 took 25642ms
Step 2 took 8387ms
********** Factor found in step 2: 1177657362992169448285292388791089
Found probable prime factor of 34 digits: 1177657362992169448285292388791089

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovJanuary 3, 2016 19:45:09 UTC 2016 年 1 月 4 日 (月) 4 時 45 分 9 秒 (日本時間)

163×10281-19

c249

composite cofactor 合成数の残り
207981946464931320178236359685821462247804890493450143369411348220567991231302691770437063970865004468983386472241433440749472359378996886346274773033645074675796926598951073275771221114760605977202947306137800859499274421637426747870359728127898541<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 3, 2016 19:45:21 UTC 2016 年 1 月 4 日 (月) 4 時 45 分 21 秒 (日本時間)
4511e61400600Dmitry DomanovJanuary 12, 2016 14:27:10 UTC 2016 年 1 月 12 日 (火) 23 時 27 分 10 秒 (日本時間)
800Dmitry DomanovJanuary 16, 2016 12:26:05 UTC 2016 年 1 月 16 日 (土) 21 時 26 分 5 秒 (日本時間)
5043e6600 / 6922300Dmitry DomanovJanuary 20, 2016 10:41:38 UTC 2016 年 1 月 20 日 (水) 19 時 41 分 38 秒 (日本時間)
300Dmitry DomanovJanuary 27, 2016 13:50:56 UTC 2016 年 1 月 27 日 (水) 22 時 50 分 56 秒 (日本時間)
5511e7120 / 17462Dmitry DomanovFebruary 2, 2016 13:44:40 UTC 2016 年 2 月 2 日 (火) 22 時 44 分 40 秒 (日本時間)

163×10282-19

c261

composite cofactor 合成数の残り
595075355164406949662124262978616511061891235597807828168938265170119588247629781495203273096432317910546877554094692821638231938067949653882435995437222008027108469978390321673045153853382520519131105155966810729403185839824884335646359380094230563268827456651<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 3, 2016 09:29:14 UTC 2016 年 1 月 3 日 (日) 18 時 29 分 14 秒 (日本時間)
4511e61400600Dmitry DomanovJanuary 12, 2016 14:27:25 UTC 2016 年 1 月 12 日 (火) 23 時 27 分 25 秒 (日本時間)
800Dmitry DomanovJanuary 16, 2016 12:25:52 UTC 2016 年 1 月 16 日 (土) 21 時 25 分 52 秒 (日本時間)
5043e6600 / 6922300Dmitry DomanovJanuary 20, 2016 10:42:57 UTC 2016 年 1 月 20 日 (水) 19 時 42 分 57 秒 (日本時間)
300Dmitry DomanovJanuary 27, 2016 13:51:13 UTC 2016 年 1 月 27 日 (水) 22 時 51 分 13 秒 (日本時間)
5511e7120 / 17462Dmitry DomanovFebruary 2, 2016 13:44:16 UTC 2016 年 2 月 2 日 (火) 22 時 44 分 16 秒 (日本時間)

163×10283-19

c280

composite cofactor 合成数の残り
5525217703746639955798258370026880353613933039784957171088535681720342631291714546237258949666283630101928402669730959184572778642152326523417770862781387812657833097748897498737335218008820010101318255929439919189453952564480646484368379484154828125052964126761374999576286985909<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 3, 2016 09:29:02 UTC 2016 年 1 月 3 日 (日) 18 時 29 分 2 秒 (日本時間)
4511e61200Dmitry DomanovJanuary 12, 2016 10:21:13 UTC 2016 年 1 月 12 日 (火) 19 時 21 分 13 秒 (日本時間)
5043e6900 / 7256300Dmitry DomanovJanuary 17, 2016 19:45:40 UTC 2016 年 1 月 18 日 (月) 4 時 45 分 40 秒 (日本時間)
600Dmitry DomanovJanuary 27, 2016 08:22:45 UTC 2016 年 1 月 27 日 (水) 17 時 22 分 45 秒 (日本時間)

163×10284-19

c255

composite cofactor 合成数の残り
153924777338089493337187498403706362391775412442466790783486215717498723156474470502386430173182718368067029476758690649003063252871474628172658860279677285453408679272007436551123485406152779528830460417450381594005411391505840878423381336330513822725409<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 3, 2016 09:28:48 UTC 2016 年 1 月 3 日 (日) 18 時 28 分 48 秒 (日本時間)
4511e61400600Dmitry DomanovJanuary 12, 2016 14:27:48 UTC 2016 年 1 月 12 日 (火) 23 時 27 分 48 秒 (日本時間)
800Dmitry DomanovJanuary 16, 2016 12:25:40 UTC 2016 年 1 月 16 日 (土) 21 時 25 分 40 秒 (日本時間)
5043e6600 / 6922300Dmitry DomanovJanuary 20, 2016 10:43:19 UTC 2016 年 1 月 20 日 (水) 19 時 43 分 19 秒 (日本時間)
300Dmitry DomanovJanuary 27, 2016 13:51:33 UTC 2016 年 1 月 27 日 (水) 22 時 51 分 33 秒 (日本時間)
5511e7120 / 17462Dmitry DomanovJanuary 31, 2016 18:37:34 UTC 2016 年 2 月 1 日 (月) 3 時 37 分 34 秒 (日本時間)

163×10285-19

c248

composite cofactor 合成数の残り
37689250178434471535478815673127187301521507316212151689470365951244436986063124628568879155774552944610400303291051013977972395487957757382804651477460427009715554033719977269547949042824796247252662076923444904569242956916267465440231416064236597<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 3, 2016 19:45:41 UTC 2016 年 1 月 4 日 (月) 4 時 45 分 41 秒 (日本時間)
4511e61400600Dmitry DomanovJanuary 12, 2016 14:28:03 UTC 2016 年 1 月 12 日 (火) 23 時 28 分 3 秒 (日本時間)
800Dmitry DomanovJanuary 16, 2016 12:25:26 UTC 2016 年 1 月 16 日 (土) 21 時 25 分 26 秒 (日本時間)
5043e6600 / 6922300Dmitry DomanovJanuary 20, 2016 10:43:35 UTC 2016 年 1 月 20 日 (水) 19 時 43 分 35 秒 (日本時間)
300Dmitry DomanovJanuary 27, 2016 13:51:49 UTC 2016 年 1 月 27 日 (水) 22 時 51 分 49 秒 (日本時間)
5511e7120 / 17462Dmitry DomanovJanuary 31, 2016 18:37:15 UTC 2016 年 2 月 1 日 (月) 3 時 37 分 15 秒 (日本時間)

163×10286-19

c257

composite cofactor 合成数の残り
42447333969777673235973442131781011039902101423295977666797402645010542008135013211485915961516157404602354296651835018458157206784919758470916394251638703103528464342521322662915621439929850147993002761154098867715124680587435429206930952318716527723765857<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 3, 2016 09:28:23 UTC 2016 年 1 月 3 日 (日) 18 時 28 分 23 秒 (日本時間)
4511e61400600Dmitry DomanovJanuary 12, 2016 14:28:18 UTC 2016 年 1 月 12 日 (火) 23 時 28 分 18 秒 (日本時間)
800Dmitry DomanovJanuary 16, 2016 12:25:07 UTC 2016 年 1 月 16 日 (土) 21 時 25 分 7 秒 (日本時間)
5043e6600 / 6922300Dmitry DomanovJanuary 20, 2016 10:43:51 UTC 2016 年 1 月 20 日 (水) 19 時 43 分 51 秒 (日本時間)
300Dmitry DomanovJanuary 27, 2016 13:52:05 UTC 2016 年 1 月 27 日 (水) 22 時 52 分 5 秒 (日本時間)
5511e7120 / 17462Dmitry DomanovJanuary 31, 2016 18:36:55 UTC 2016 年 2 月 1 日 (月) 3 時 36 分 55 秒 (日本時間)

163×10287-19

c267

composite cofactor 合成数の残り
101518796853146137691435216329407691548735287891735333396575847644115503371733028618456839851759759912503576741728372825205774447376794994461574505740857513819745307210152115239694098810712247911133540720686734753834194825842325127713720225535770704951973762680929559<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 3, 2016 09:28:11 UTC 2016 年 1 月 3 日 (日) 18 時 28 分 11 秒 (日本時間)
4511e61400600Dmitry DomanovJanuary 12, 2016 14:28:33 UTC 2016 年 1 月 12 日 (火) 23 時 28 分 33 秒 (日本時間)
800Dmitry DomanovJanuary 16, 2016 12:24:55 UTC 2016 年 1 月 16 日 (土) 21 時 24 分 55 秒 (日本時間)
5043e6600 / 6922300Dmitry DomanovJanuary 20, 2016 10:44:07 UTC 2016 年 1 月 20 日 (水) 19 時 44 分 7 秒 (日本時間)
300Dmitry DomanovJanuary 27, 2016 13:52:20 UTC 2016 年 1 月 27 日 (水) 22 時 52 分 20 秒 (日本時間)
5511e7120 / 17462Dmitry DomanovJanuary 31, 2016 18:32:05 UTC 2016 年 2 月 1 日 (月) 3 時 32 分 5 秒 (日本時間)

163×10288-19

c232

composite cofactor 合成数の残り
3938778415754101363801112533600685545799929166104006103601409505880165819472547334441762214033442142579783071749523385722387011362880733387180978443985551329088042643607455330324000428937081344584660598790091992925255986902171571459<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 3, 2016 19:45:56 UTC 2016 年 1 月 4 日 (月) 4 時 45 分 56 秒 (日本時間)
4511e61400600Dmitry DomanovJanuary 12, 2016 14:28:49 UTC 2016 年 1 月 12 日 (火) 23 時 28 分 49 秒 (日本時間)
800Dmitry DomanovJanuary 16, 2016 18:03:22 UTC 2016 年 1 月 17 日 (日) 3 時 3 分 22 秒 (日本時間)
5043e6600 / 6922300Dmitry DomanovJanuary 19, 2016 14:02:51 UTC 2016 年 1 月 19 日 (火) 23 時 2 分 51 秒 (日本時間)
300Dmitry DomanovJanuary 27, 2016 13:52:35 UTC 2016 年 1 月 27 日 (水) 22 時 52 分 35 秒 (日本時間)
5511e7120 / 17462Dmitry DomanovJanuary 31, 2016 18:31:07 UTC 2016 年 2 月 1 日 (月) 3 時 31 分 7 秒 (日本時間)

163×10289-19

c234

composite cofactor 合成数の残り
333798669042575991930191970688392959991096903286077449582206838307518082966240500060457061578627852215900450724144133895764319599261736521807831858064259370755460691588998271524779919903611486365942965747174802815946344123531805126359<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 3, 2016 19:46:07 UTC 2016 年 1 月 4 日 (月) 4 時 46 分 7 秒 (日本時間)
4511e61400600Dmitry DomanovJanuary 12, 2016 14:29:06 UTC 2016 年 1 月 12 日 (火) 23 時 29 分 6 秒 (日本時間)
800Dmitry DomanovJanuary 16, 2016 18:03:38 UTC 2016 年 1 月 17 日 (日) 3 時 3 分 38 秒 (日本時間)
5043e6600 / 6922300Dmitry DomanovJanuary 19, 2016 14:03:08 UTC 2016 年 1 月 19 日 (火) 23 時 3 分 8 秒 (日本時間)
300Dmitry DomanovJanuary 27, 2016 13:52:51 UTC 2016 年 1 月 27 日 (水) 22 時 52 分 51 秒 (日本時間)
5511e7120 / 17462Dmitry DomanovJanuary 31, 2016 18:30:49 UTC 2016 年 2 月 1 日 (月) 3 時 30 分 49 秒 (日本時間)

163×10290-19

c273

name 名前Dmitry Domanov
date 日付January 27, 2016 13:18:00 UTC 2016 年 1 月 27 日 (水) 22 時 18 分 0 秒 (日本時間)
composite number 合成数
102095088186841381732855098992195304129824714076511871824558175464905171306499553593349184098863423885697845277651342916172499997141232395551485753066520436706936037278476370155652875984314001984633763275942612176237443699991031932433017272965862557629728992336595177794733<273>
prime factors 素因数
1180928553672883732765147923111517405957551997<46>
composite cofactor 合成数の残り
86453230273168278146494048687102813495497242648832592794468449370262873553203560534871864758823321440204481984053186330731669172893852956015712886599379215351895028376973626343858654841896977821515268758159413122854655772111089<227>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2199039218
Step 1 took 474140ms
Step 2 took 110882ms
********** Factor found in step 2: 1180928553672883732765147923111517405957551997
Found probable prime factor of 46 digits: 1180928553672883732765147923111517405957551997

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 3, 2016 09:27:57 UTC 2016 年 1 月 3 日 (日) 18 時 27 分 57 秒 (日本時間)
4511e61400600Dmitry DomanovJanuary 12, 2016 14:29:22 UTC 2016 年 1 月 12 日 (火) 23 時 29 分 22 秒 (日本時間)
800Dmitry DomanovJanuary 16, 2016 12:24:41 UTC 2016 年 1 月 16 日 (土) 21 時 24 分 41 秒 (日本時間)
5043e6900 / 7211300Dmitry DomanovJanuary 20, 2016 10:44:37 UTC 2016 年 1 月 20 日 (水) 19 時 44 分 37 秒 (日本時間)
300Dmitry DomanovJanuary 27, 2016 08:23:51 UTC 2016 年 1 月 27 日 (水) 17 時 23 分 51 秒 (日本時間)
300Dmitry DomanovJanuary 27, 2016 13:54:05 UTC 2016 年 1 月 27 日 (水) 22 時 54 分 5 秒 (日本時間)

163×10293-19

c282

composite cofactor 合成数の残り
384146644837284847555316227415152283013755225675261966994988236730556490744090651573191817802506326931142214542321856391545341646934921901657168038522052291600836784348547056224799187870014178919192079323293833789075633729649310681841110406197784444398193670592560095476574614944029<282>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 3, 2016 09:27:44 UTC 2016 年 1 月 3 日 (日) 18 時 27 分 44 秒 (日本時間)
4511e61400600Dmitry DomanovJanuary 12, 2016 14:29:37 UTC 2016 年 1 月 12 日 (火) 23 時 29 分 37 秒 (日本時間)
800Dmitry DomanovJanuary 16, 2016 12:24:27 UTC 2016 年 1 月 16 日 (土) 21 時 24 分 27 秒 (日本時間)
5043e6600 / 6922300Dmitry DomanovJanuary 18, 2016 10:00:50 UTC 2016 年 1 月 18 日 (月) 19 時 0 分 50 秒 (日本時間)
300Dmitry DomanovJanuary 28, 2016 16:48:38 UTC 2016 年 1 月 29 日 (金) 1 時 48 分 38 秒 (日本時間)
5511e7120 / 17462Dmitry DomanovJanuary 31, 2016 18:29:33 UTC 2016 年 2 月 1 日 (月) 3 時 29 分 33 秒 (日本時間)

163×10295-19

c261

name 名前KTakahashi
date 日付January 1, 2016 08:14:20 UTC 2016 年 1 月 1 日 (金) 17 時 14 分 20 秒 (日本時間)
composite number 合成数
391185412911460384591232588743209494614335087577688287356373000437397952949827523908646155531834178516933278064119788549095712531272622068647440756796787419379675589958248291272400243540029181115525508250582973096478191530277229993768255673187991795690452538113<261>
prime factors 素因数
36472262000840102019399293443245779<35>
10725559410119663553404062649385173326822558771463280892010442245634101723727719073873778156436769063170601901098264042356289165691042780065491946052310502225112048420641247952914979500285979509312549258827263638668717823443547<227>
factorization results 素因数分解の結果
Input number is 391185412911460384591232588743209494614335087577688287356373000437397952949827523908646155531834178516933278064119788549095712531272622068647440756796787419379675589958248291272400243540029181115525508250582973096478191530277229993768255673187991795690452538113 (261 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3110084274
Step 1 took 8736ms
Step 2 took 4228ms
********** Factor found in step 2: 36472262000840102019399293443245779
Found probable prime factor of 35 digits: 36472262000840102019399293443245779
Probable prime cofactor
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)

163×10296-19

c263

name 名前Dmitry Domanov
date 日付January 17, 2016 20:10:01 UTC 2016 年 1 月 18 日 (月) 5 時 10 分 1 秒 (日本時間)
composite number 合成数
15007753317532193176199258007913325028413102891948219442604718018106472757362198181129795657684275470477553846101874804684409083391407611168542049477500129918293994394350440309603279855426214847564204993137024393044126719330927392514335642453430194854338862877813<263>
prime factors 素因数
36376361896801170816523952713372981080299<41>
composite cofactor 合成数の残り
412568836875683557892851384660206560356326759356295756764358132438259252252551743306515669985458621552746168551986419835023043094105585906931673802016344134649781046749487386049122347192818654831752675868302730945417568287<222>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4150330294
Step 1 took 136306ms
Step 2 took 38549ms
********** Factor found in step 2: 36376361896801170816523952713372981080299
Found probable prime factor of 41 digits: 36376361896801170816523952713372981080299

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 3, 2016 09:27:30 UTC 2016 年 1 月 3 日 (日) 18 時 27 分 30 秒 (日本時間)
4511e61400600Dmitry DomanovJanuary 12, 2016 14:29:51 UTC 2016 年 1 月 12 日 (火) 23 時 29 分 51 秒 (日本時間)
800Dmitry DomanovJanuary 16, 2016 12:24:10 UTC 2016 年 1 月 16 日 (土) 21 時 24 分 10 秒 (日本時間)
5043e6600 / 6922300Dmitry DomanovJanuary 18, 2016 13:36:58 UTC 2016 年 1 月 18 日 (月) 22 時 36 分 58 秒 (日本時間)
300Dmitry DomanovJanuary 27, 2016 13:53:22 UTC 2016 年 1 月 27 日 (水) 22 時 53 分 22 秒 (日本時間)
5511e7120 / 17462Dmitry DomanovJanuary 31, 2016 18:30:01 UTC 2016 年 2 月 1 日 (月) 3 時 30 分 1 秒 (日本時間)

163×10298-19

c299

composite cofactor 合成数の残り
25873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873<299>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 1, 2016 19:26:55 UTC 2016 年 1 月 2 日 (土) 4 時 26 分 55 秒 (日本時間)
4511e61800600Dmitry DomanovJanuary 6, 2016 09:23:16 UTC 2016 年 1 月 6 日 (水) 18 時 23 分 16 秒 (日本時間)
1200Dmitry DomanovJanuary 15, 2016 06:42:17 UTC 2016 年 1 月 15 日 (金) 15 時 42 分 17 秒 (日本時間)
5043e6900 / 7121300Dmitry DomanovJanuary 17, 2016 19:45:08 UTC 2016 年 1 月 18 日 (月) 4 時 45 分 8 秒 (日本時間)
600Dmitry DomanovJanuary 26, 2016 22:15:29 UTC 2016 年 1 月 27 日 (水) 7 時 15 分 29 秒 (日本時間)

163×10299-19

c263

composite cofactor 合成数の残り
34594037830475947585607696403517340368965308714520765899566114092727574931808208565734994697079624168000779774363340316390664492885607986913104893830308879587843023304141386318518621555176534402046157600769373992177783573434880995451973221689368068589358753581673<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 3, 2016 09:27:11 UTC 2016 年 1 月 3 日 (日) 18 時 27 分 11 秒 (日本時間)
4511e61400600Dmitry DomanovJanuary 12, 2016 14:30:16 UTC 2016 年 1 月 12 日 (火) 23 時 30 分 16 秒 (日本時間)
800Dmitry DomanovJanuary 16, 2016 12:23:59 UTC 2016 年 1 月 16 日 (土) 21 時 23 分 59 秒 (日本時間)
5043e6600 / 6922Dmitry DomanovJanuary 27, 2016 17:05:56 UTC 2016 年 1 月 28 日 (木) 2 時 5 分 56 秒 (日本時間)
5511e7120 / 17462Dmitry DomanovJanuary 31, 2016 18:20:07 UTC 2016 年 2 月 1 日 (月) 3 時 20 分 7 秒 (日本時間)

163×10300-19

c239

composite cofactor 合成数の残り
88333837357881448943385955292062477720511057289008605130948766958011197924646564696877612004832828962828363103032523082446534527661705220836781787915927088372523903567204246471735194095543289141156987376266158179912825889373937940204274509<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 1, 2016 14:49:41 UTC 2016 年 1 月 1 日 (金) 23 時 49 分 41 秒 (日本時間)
4511e6800Dmitry DomanovJanuary 3, 2016 07:24:23 UTC 2016 年 1 月 3 日 (日) 16 時 24 分 23 秒 (日本時間)
5043e61000 / 7346600Dmitry DomanovJanuary 12, 2016 14:31:37 UTC 2016 年 1 月 12 日 (火) 23 時 31 分 37 秒 (日本時間)
400Dmitry DomanovJanuary 14, 2016 14:19:43 UTC 2016 年 1 月 14 日 (木) 23 時 19 分 43 秒 (日本時間)