Table of contents 目次

7×1098+839

c96

name 名前KTakahashi
date 日付January 8, 2015 13:20:15 UTC 2015 年 1 月 8 日 (木) 22 時 20 分 15 秒 (日本時間)
composite number 合成数
328176277543366150961087669948429442100328176277543366150961087669948429442100328176277543366151<96>
prime factors 素因数
5426672208528741583928422711<28>
60474682260629859601616488672633202042443387591380405569386111685041<68>
factorization results 素因数分解の結果
Input number is 328176277543366150961087669948429442100328176277543366150961087669948429442100328176277543366151 (96 digits)
Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=1465985623
Step 1 took 608ms
Step 2 took 437ms
********** Factor found in step 2: 5426672208528741583928422711
Found probable prime factor of 28 digits: 5426672208528741583928422711
Probable prime cofactor 60474682260629859601616488672633202042443387591380405569386111685041 has 68 digits
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
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10109+839

c103

name 名前KTakahashi
date 日付January 8, 2015 13:35:25 UTC 2015 年 1 月 8 日 (木) 22 時 35 分 25 秒 (日本時間)
composite number 合成数
9635466887236268668200908294168601674891914150192427156214456311210163710711899953020216448375164336329<103>
prime factors 素因数
5079917638661102615356984990501130803393<40>
1896776202414151219362352775106375630502200244378466168085420553<64>
factorization results 素因数分解の結果
Number: 77787_109
N=9635466887236268668200908294168601674891914150192427156214456311210163710711899953020216448375164336329
  ( 103 digits)
SNFS difficulty: 110 digits.
Divisors found:
 r1=5079917638661102615356984990501130803393 (pp40)
 r2=1896776202414151219362352775106375630502200244378466168085420553 (pp64)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.28 hours.
Scaled time: 2.66 units (timescale=2.068).
Factorization parameters were as follows:
n: 9635466887236268668200908294168601674891914150192427156214456311210163710711899953020216448375164336329
m: 5000000000000000000000
c5: 112
c0: 415
skew: 1.30
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 : 81586 x 81812
Total sieving time: 1.24 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,110.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.28 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10123+839

c120

name 名前KTakahashi
date 日付January 8, 2015 14:12:51 UTC 2015 年 1 月 8 日 (木) 23 時 12 分 51 秒 (日本時間)
composite number 合成数
202916195611212569208916717395715569469808968895846015595559034118908890628170565556425196393889323709308055772965765139<120>
prime factors 素因数
6191909706549341587748563627941535814943108481707247<52>
32771181303981695439631685261386992909298943905869497814303559051037<68>
factorization results 素因数分解の結果
Number: 77787_123
N=202916195611212569208916717395715569469808968895846015595559034118908890628170565556425196393889323709308055772965765139
  ( 120 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=6191909706549341587748563627941535814943108481707247 (pp52)
 r2=32771181303981695439631685261386992909298943905869497814303559051037 (pp68)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.74 hours.
Scaled time: 4.95 units (timescale=1.806).
Factorization parameters were as follows:
n: 202916195611212569208916717395715569469808968895846015595559034118908890628170565556425196393889323709308055772965765139
m: 2000000000000000000000000
c5: 875
c0: 332
skew: 0.82
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 : 107385 x 107615
Total sieving time: 2.68 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,124.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.74 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
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 14:12:28 UTC 2015 年 1 月 8 日 (木) 23 時 12 分 28 秒 (日本時間)

7×10128+839

c111

name 名前KTakahashi
date 日付January 8, 2015 14:40:33 UTC 2015 年 1 月 8 日 (木) 23 時 40 分 33 秒 (日本時間)
composite number 合成数
991640319984381478070364816179791747791706733520945218065557364102636347839589983400519661358521486865164716607<111>
prime factors 素因数
9536604647286568386230172582893093<34>
103982534314928424128434170316376559848296543283147665613048765607960061482899<78>
factorization results 素因数分解の結果
Input number is 991640319984381478070364816179791747791706733520945218065557364102636347839589983400519661358521486865164716607 (111 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3765305671
Step 1 took 2668ms
Step 2 took 1778ms
********** Factor found in step 2: 9536604647286568386230172582893093
Found probable prime factor of 34 digits: 9536604647286568386230172582893093
Probable prime cofactor 103982534314928424128434170316376559848296543283147665613048765607960061482899 has 78 digits
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
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10130+839

c112

name 名前KTakahashi
date 日付January 8, 2015 14:54:53 UTC 2015 年 1 月 8 日 (木) 23 時 54 分 53 秒 (日本時間)
composite number 合成数
3774865681236236369649177589965681538084246933049091511788249503576559831134501154500834944279500182480415660509<112>
prime factors 素因数
53036218099356414070672078807965526508537317897421<50>
71175242438375215788605021194248784769229660855063675958229329<62>
factorization results 素因数分解の結果
Number: 77787_130
N=3774865681236236369649177589965681538084246933049091511788249503576559831134501154500834944279500182480415660509
  ( 112 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=53036218099356414070672078807965526508537317897421 (pp50)
 r2=71175242438375215788605021194248784769229660855063675958229329 (pp62)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.87 hours.
Scaled time: 4.97 units (timescale=1.733).
Factorization parameters were as follows:
n: 3774865681236236369649177589965681538084246933049091511788249503576559831134501154500834944279500182480415660509
m: 100000000000000000000000000
c5: 7
c0: 83
skew: 1.64
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [400000, 900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 110515 x 110740
Total sieving time: 2.81 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,130.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 2.87 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 14:54:15 UTC 2015 年 1 月 8 日 (木) 23 時 54 分 15 秒 (日本時間)

7×10131+839

c115

name 名前KTakahashi
date 日付January 8, 2015 15:47:03 UTC 2015 年 1 月 9 日 (金) 0 時 47 分 3 秒 (日本時間)
composite number 合成数
4089209305231340822547442232905969548988532119401251766964062717686361691159260050141048073454715719160623006421263<115>
prime factors 素因数
9682521308348976039854799478099505380689734390983<49>
422328975584626529502700162757004396839611262028300786544903031161<66>
factorization results 素因数分解の結果
Number: 77787_131
N=4089209305231340822547442232905969548988532119401251766964062717686361691159260050141048073454715719160623006421263
  ( 115 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=9682521308348976039854799478099505380689734390983 (pp49)
 r2=422328975584626529502700162757004396839611262028300786544903031161 (pp66)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 4.24 hours.
Scaled time: 7.29 units (timescale=1.719).
Factorization parameters were as follows:
n: 4089209305231340822547442232905969548988532119401251766964062717686361691159260050141048073454715719160623006421263
m: 100000000000000000000000000
c5: 70
c0: 83
skew: 1.03
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [400000, 1200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 134228 x 134462
Total sieving time: 4.17 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,131.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 4.24 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:46:32 UTC 2015 年 1 月 9 日 (金) 0 時 46 分 32 秒 (日本時間)

7×10134+839

c95

name 名前KTakahashi
date 日付January 8, 2015 15:47:55 UTC 2015 年 1 月 9 日 (金) 0 時 47 分 55 秒 (日本時間)
composite number 合成数
42073400108446917501828916867598879959211247497489145484027901884806890932290433052241678035113<95>
prime factors 素因数
61630778728348964440803835312548251<35>
682668643436984001699496048395814092862333116713698758020363<60>
factorization results 素因数分解の結果
Input number is 42073400108446917501828916867598879959211247497489145484027901884806890932290433052241678035113 (95 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4180854630
Step 1 took 2184ms
Step 2 took 1653ms
********** Factor found in step 2: 61630778728348964440803835312548251
Found probable prime factor of 35 digits: 61630778728348964440803835312548251
Probable prime cofactor 682668643436984001699496048395814092862333116713698758020363 has 60 digits
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
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10136+839

c128

name 名前Jo Yeong Uk
date 日付January 10, 2015 04:06:24 UTC 2015 年 1 月 10 日 (土) 13 時 6 分 24 秒 (日本時間)
composite number 合成数
10175832375343767837402824814817916505435508884239920313940512409269638276356149087668602111002040288843717467686727515867792151<128>
prime factors 素因数
1668009950433864322022698977533697344721344835600101<52>
6100582537110730503133845754456493993019902570749058085447196475021703487051<76>
factorization results 素因数分解の結果
Number: 77787_136
N=10175832375343767837402824814817916505435508884239920313940512409269638276356149087668602111002040288843717467686727515867792151
  ( 128 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=1668009950433864322022698977533697344721344835600101
 r2=6100582537110730503133845754456493993019902570749058085447196475021703487051
Version: 
Total time: 1.76 hours.
Scaled time: 9.21 units (timescale=5.236).
Factorization parameters were as follows:
n: 10175832375343767837402824814817916505435508884239920313940512409269638276356149087668602111002040288843717467686727515867792151
m: 1000000000000000000000000000
deg: 5
c5: 70
c0: 83
skew: 1.03
# Murphy_E = 3.503e-09
type: snfs
lss: 1
rlim: 1300000
alim: 1300000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [650000, 1400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 3506385
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 223714 x 223962
Total sieving time: 1.48 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,48,48,2.3,2.3,25000
total time: 1.76 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
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:48:22 UTC 2015 年 1 月 9 日 (金) 0 時 48 分 22 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:08:00 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 0 秒 (日本時間)

7×10139+839

c109

name 名前Jo Yeong Uk
date 日付January 11, 2015 21:58:36 UTC 2015 年 1 月 12 日 (月) 6 時 58 分 36 秒 (日本時間)
composite number 合成数
2308652760862359079517880149616479142567341171526630274014631471859414406890377400948870673797200867082189459<109>
prime factors 素因数
164562922935139036513585658750842075949813<42>
14028997052831234318270958542815047201825506971321711029929541757543<68>
factorization results 素因数分解の結果
Number: 77787_139
N=2308652760862359079517880149616479142567341171526630274014631471859414406890377400948870673797200867082189459
  ( 109 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=164562922935139036513585658750842075949813
 r2=14028997052831234318270958542815047201825506971321711029929541757543
Version: 
Total time: 1.99 hours.
Scaled time: 10.14 units (timescale=5.094).
Factorization parameters were as follows:
n: 2308652760862359079517880149616479142567341171526630274014631471859414406890377400948870673797200867082189459
m: 10000000000000000000000000000
deg: 5
c5: 7
c0: 830
skew: 2.60
# Murphy_E = 2.927e-09
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [1000000, 1750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4108350
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 273979 x 274227
Total sieving time: 1.75 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,48,48,2.3,2.3,50000
total time: 1.99 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
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:48:46 UTC 2015 年 1 月 9 日 (金) 0 時 48 分 46 秒 (日本時間)

7×10142+839

c113

name 名前Jo Yeong Uk
date 日付January 14, 2015 20:39:51 UTC 2015 年 1 月 15 日 (木) 5 時 39 分 51 秒 (日本時間)
composite number 合成数
52723325594145807977736616238189152446603001084669648343073056243203481454981954075603330188148973195764195091247<113>
prime factors 素因数
2105801206534476222940408721364878541240947423415689<52>
25037180827202940701581671739448410982261331793263728900453623<62>
factorization results 素因数分解の結果
Number: 77787_142
N=52723325594145807977736616238189152446603001084669648343073056243203481454981954075603330188148973195764195091247
  ( 113 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=2105801206534476222940408721364878541240947423415689
 r2=25037180827202940701581671739448410982261331793263728900453623
Version: 
Total time: 2.78 hours.
Scaled time: 14.51 units (timescale=5.218).
Factorization parameters were as follows:
n: 52723325594145807977736616238189152446603001084669648343073056243203481454981954075603330188148973195764195091247
m: 10000000000000000000000000000
deg: 5
c5: 700
c0: 83
skew: 0.65
# Murphy_E = 2.123e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [1100000, 2150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4309764
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 331670 x 331918
Total sieving time: 2.45 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,48,48,2.3,2.3,50000
total time: 2.78 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
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:49:04 UTC 2015 年 1 月 9 日 (金) 0 時 49 分 4 秒 (日本時間)

7×10143+839

c126

name 名前Jo Yeong Uk
date 日付January 17, 2015 14:43:41 UTC 2015 年 1 月 17 日 (土) 23 時 43 分 41 秒 (日本時間)
composite number 合成数
705258972677167145194611935529393825696944918743502994065692702895408080524969318669263126245162752733013098449988545292691761<126>
prime factors 素因数
391345058136495212784293165904934508531718040592537<51>
1802140995558920604891091130783207037648729227611971546992520716692745892953<76>
factorization results 素因数分解の結果
Number: 77787_143
N=705258972677167145194611935529393825696944918743502994065692702895408080524969318669263126245162752733013098449988545292691761
  ( 126 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=391345058136495212784293165904934508531718040592537
 r2=1802140995558920604891091130783207037648729227611971546992520716692745892953
Version: 
Total time: 3.39 hours.
Scaled time: 17.74 units (timescale=5.238).
Factorization parameters were as follows:
n: 705258972677167145194611935529393825696944918743502994065692702895408080524969318669263126245162752733013098449988545292691761
m: 20000000000000000000000000000
deg: 5
c5: 875
c0: 332
skew: 0.82
# Murphy_E = 1.778e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [1200000, 2450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4471639
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 351697 x 351945
Total sieving time: 2.99 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,2400000,2400000,26,26,48,48,2.3,2.3,50000
total time: 3.39 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
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:49:18 UTC 2015 年 1 月 9 日 (金) 0 時 49 分 18 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:08:01 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 1 秒 (日本時間)

7×10145+839

c143

name 名前Cyp
date 日付January 14, 2015 17:41:25 UTC 2015 年 1 月 15 日 (木) 2 時 41 分 25 秒 (日本時間)
composite number 合成数
26912725874663590926566705113417916186082276047673971549404075355632449058054594386774317570165321030372933487120338331410995770857362552864283<143>
prime factors 素因数
57979950465575555976838511822807815112068388513351500824666399725473519<71>
464172971148750590757082869160710804081275271875742916784310906370622357<72>
factorization results 素因数分解の結果
01/14/15 17:38:38 v1.34.3, 
01/14/15 17:38:38 v1.34.3, ****************************
01/14/15 17:38:38 v1.34.3, Starting factorization of 26912725874663590926566705113417916186082276047673971549404075355632449058054594386774317570165321030372933487120338331410995770857362552864283
01/14/15 17:38:38 v1.34.3, using pretesting plan: none
01/14/15 17:38:38 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/14/15 17:38:38 v1.34.3, ****************************
01/14/15 17:38:38 v1.34.3, nfs: commencing nfs on c143: 26912725874663590926566705113417916186082276047673971549404075355632449058054594386774317570165321030372933487120338331410995770857362552864283
01/14/15 17:38:38 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/14/15 17:38:38 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/14/15 17:42:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
[11 lines snipped]
01/14/15 18:30:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/14/15 18:34:38 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/14/15 18:38:37 v1.34.3, nfs: commencing msieve filtering
01/14/15 18:39:27 v1.34.3, nfs: commencing msieve linear algebra
01/14/15 18:40:53 v1.34.3, nfs: commencing msieve sqrt
01/14/15 18:41:24 v1.34.3, prp71 = 57979950465575555976838511822807815112068388513351500824666399725473519
01/14/15 18:41:24 v1.34.3, prp72 = 464172971148750590757082869160710804081275271875742916784310906370622357
01/14/15 18:41:24 v1.34.3, NFS elapsed time = 3765.3833 seconds.
01/14/15 18:41:24 v1.34.3, 
01/14/15 18:41:24 v1.34.3, 
01/14/15 18:41:24 v1.34.3, Total factoring time = 3765.3839 seconds
--
Wed Jan 14 18:38:37 2015  
Wed Jan 14 18:38:37 2015  commencing relation filtering
Wed Jan 14 18:38:37 2015  estimated available RAM is 15987.3 MB
Wed Jan 14 18:38:37 2015  commencing duplicate removal, pass 1
Wed Jan 14 18:38:50 2015  found 556667 hash collisions in 4756584 relations
Wed Jan 14 18:38:54 2015  added 185140 free relations
Wed Jan 14 18:38:54 2015  commencing duplicate removal, pass 2
Wed Jan 14 18:38:58 2015  found 331423 duplicates and 4610301 unique relations
Wed Jan 14 18:38:58 2015  memory use: 20.6 MB
Wed Jan 14 18:38:58 2015  reading ideals above 100000
Wed Jan 14 18:38:58 2015  commencing singleton removal, initial pass
Wed Jan 14 18:39:17 2015  memory use: 94.1 MB
Wed Jan 14 18:39:17 2015  reading all ideals from disk
Wed Jan 14 18:39:17 2015  memory use: 150.8 MB
Wed Jan 14 18:39:17 2015  keeping 4775803 ideals with weight <= 200, target excess is 25270
Wed Jan 14 18:39:17 2015  commencing in-memory singleton removal
Wed Jan 14 18:39:18 2015  begin with 4610301 relations and 4775803 unique ideals
Wed Jan 14 18:39:19 2015  reduce to 2179433 relations and 1758268 ideals in 10 passes
Wed Jan 14 18:39:19 2015  max relations containing the same ideal: 122
Wed Jan 14 18:39:19 2015  removing 623871 relations and 427945 ideals in 195926 cliques
Wed Jan 14 18:39:19 2015  commencing in-memory singleton removal
Wed Jan 14 18:39:19 2015  begin with 1555562 relations and 1758268 unique ideals
Wed Jan 14 18:39:20 2015  reduce to 1445756 relations and 1209015 ideals in 8 passes
Wed Jan 14 18:39:20 2015  max relations containing the same ideal: 94
Wed Jan 14 18:39:20 2015  removing 530906 relations and 334980 ideals in 195926 cliques
Wed Jan 14 18:39:20 2015  commencing in-memory singleton removal
Wed Jan 14 18:39:20 2015  begin with 914850 relations and 1209015 unique ideals
Wed Jan 14 18:39:20 2015  reduce to 811817 relations and 757935 ideals in 9 passes
Wed Jan 14 18:39:20 2015  max relations containing the same ideal: 64
Wed Jan 14 18:39:20 2015  removing 101494 relations and 76926 ideals in 24568 cliques
Wed Jan 14 18:39:20 2015  commencing in-memory singleton removal
Wed Jan 14 18:39:20 2015  begin with 710323 relations and 757935 unique ideals
Wed Jan 14 18:39:20 2015  reduce to 698834 relations and 669167 ideals in 6 passes
Wed Jan 14 18:39:20 2015  max relations containing the same ideal: 55
Wed Jan 14 18:39:21 2015  relations with 0 large ideals: 589
Wed Jan 14 18:39:21 2015  relations with 1 large ideals: 186
Wed Jan 14 18:39:21 2015  relations with 2 large ideals: 2928
Wed Jan 14 18:39:21 2015  relations with 3 large ideals: 21346
Wed Jan 14 18:39:21 2015  relations with 4 large ideals: 77883
Wed Jan 14 18:39:21 2015  relations with 5 large ideals: 162339
Wed Jan 14 18:39:21 2015  relations with 6 large ideals: 206909
Wed Jan 14 18:39:21 2015  relations with 7+ large ideals: 226654
Wed Jan 14 18:39:21 2015  commencing 2-way merge
Wed Jan 14 18:39:21 2015  reduce to 444190 relation sets and 414523 unique ideals
Wed Jan 14 18:39:21 2015  commencing full merge
Wed Jan 14 18:39:25 2015  memory use: 54.0 MB
Wed Jan 14 18:39:25 2015  found 224800 cycles, need 220723
Wed Jan 14 18:39:25 2015  weight of 220723 cycles is about 15725116 (71.24/cycle)
Wed Jan 14 18:39:25 2015  distribution of cycle lengths:
Wed Jan 14 18:39:25 2015  1 relations: 17595
Wed Jan 14 18:39:25 2015  2 relations: 20356
Wed Jan 14 18:39:25 2015  3 relations: 23051
Wed Jan 14 18:39:25 2015  4 relations: 23147
Wed Jan 14 18:39:25 2015  5 relations: 23041
Wed Jan 14 18:39:25 2015  6 relations: 21232
Wed Jan 14 18:39:25 2015  7 relations: 18952
Wed Jan 14 18:39:25 2015  8 relations: 16442
Wed Jan 14 18:39:25 2015  9 relations: 13842
Wed Jan 14 18:39:25 2015  10+ relations: 43065
Wed Jan 14 18:39:25 2015  heaviest cycle: 20 relations
Wed Jan 14 18:39:25 2015  commencing cycle optimization
Wed Jan 14 18:39:25 2015  start with 1379826 relations
Wed Jan 14 18:39:26 2015  pruned 45025 relations
Wed Jan 14 18:39:26 2015  memory use: 42.8 MB
Wed Jan 14 18:39:26 2015  distribution of cycle lengths:
Wed Jan 14 18:39:26 2015  1 relations: 17595
Wed Jan 14 18:39:26 2015  2 relations: 20809
Wed Jan 14 18:39:26 2015  3 relations: 23944
Wed Jan 14 18:39:26 2015  4 relations: 23923
Wed Jan 14 18:39:26 2015  5 relations: 24051
Wed Jan 14 18:39:26 2015  6 relations: 22008
Wed Jan 14 18:39:26 2015  7 relations: 19630
Wed Jan 14 18:39:26 2015  8 relations: 16640
Wed Jan 14 18:39:26 2015  9 relations: 13685
Wed Jan 14 18:39:26 2015  10+ relations: 38438
Wed Jan 14 18:39:26 2015  heaviest cycle: 20 relations
Wed Jan 14 18:39:27 2015  RelProcTime: 50
Wed Jan 14 18:39:27 2015  
Wed Jan 14 18:39:27 2015  commencing linear algebra
Wed Jan 14 18:39:27 2015  read 220723 cycles
Wed Jan 14 18:39:27 2015  cycles contain 680151 unique relations
Wed Jan 14 18:39:31 2015  read 680151 relations
Wed Jan 14 18:39:32 2015  using 20 quadratic characters above 67095488
Wed Jan 14 18:39:34 2015  building initial matrix
Wed Jan 14 18:39:37 2015  memory use: 83.9 MB
Wed Jan 14 18:39:37 2015  read 220723 cycles
Wed Jan 14 18:39:37 2015  matrix is 220546 x 220723 (66.2 MB) with weight 19706309 (89.28/col)
Wed Jan 14 18:39:37 2015  sparse part has weight 14916205 (67.58/col)
Wed Jan 14 18:39:38 2015  filtering completed in 2 passes
Wed Jan 14 18:39:38 2015  matrix is 220488 x 220665 (66.2 MB) with weight 19704232 (89.29/col)
Wed Jan 14 18:39:38 2015  sparse part has weight 14915365 (67.59/col)
Wed Jan 14 18:39:38 2015  matrix starts at (0, 0)
Wed Jan 14 18:39:38 2015  matrix is 220488 x 220665 (66.2 MB) with weight 19704232 (89.29/col)
Wed Jan 14 18:39:38 2015  sparse part has weight 14915365 (67.59/col)
Wed Jan 14 18:39:38 2015  saving the first 48 matrix rows for later
Wed Jan 14 18:39:38 2015  matrix includes 64 packed rows
Wed Jan 14 18:39:38 2015  matrix is 220440 x 220665 (62.0 MB) with weight 15491001 (70.20/col)
Wed Jan 14 18:39:38 2015  sparse part has weight 14042007 (63.63/col)
Wed Jan 14 18:39:38 2015  using block size 65536 for processor cache size 8192 kB
Wed Jan 14 18:39:39 2015  commencing Lanczos iteration (8 threads)
Wed Jan 14 18:39:39 2015  memory use: 59.2 MB
Wed Jan 14 18:39:43 2015  linear algebra at 5.5%, ETA 0h 1m
Wed Jan 14 18:40:53 2015  lanczos halted after 3487 iterations (dim = 220438)
Wed Jan 14 18:40:53 2015  recovered 34 nontrivial dependencies
Wed Jan 14 18:40:53 2015  BLanczosTime: 86
Wed Jan 14 18:40:53 2015  
Wed Jan 14 18:40:53 2015  commencing square root phase
Wed Jan 14 18:40:53 2015  reading relations for dependency 1
Wed Jan 14 18:40:53 2015  read 110558 cycles
Wed Jan 14 18:40:53 2015  cycles contain 340452 unique relations
Wed Jan 14 18:40:57 2015  read 340452 relations
Wed Jan 14 18:40:58 2015  multiplying 340452 relations
Wed Jan 14 18:41:03 2015  multiply complete, coefficients have about 8.15 million bits
Wed Jan 14 18:41:03 2015  initial square root is modulo 2367426491
Wed Jan 14 18:41:10 2015  GCD is N, no factor found
Wed Jan 14 18:41:10 2015  reading relations for dependency 2
Wed Jan 14 18:41:10 2015  read 110329 cycles
Wed Jan 14 18:41:10 2015  cycles contain 339556 unique relations
Wed Jan 14 18:41:13 2015  read 339556 relations
Wed Jan 14 18:41:14 2015  multiplying 339556 relations
Wed Jan 14 18:41:18 2015  multiply complete, coefficients have about 8.13 million bits
Wed Jan 14 18:41:18 2015  initial square root is modulo 2230137601
Wed Jan 14 18:41:23 2015  sqrtTime: 30
--
n: 26912725874663590926566705113417916186082276047673971549404075355632449058054594386774317570165321030372933487120338331410995770857362552864283
m: 100000000000000000000000000000
deg: 5
c5: 7
c0: 83
skew: 1.64
# Murphy_E = 2.078e-09
type: snfs
lss: 1
rlim: 1890000
alim: 1890000
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
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:49:38 UTC 2015 年 1 月 9 日 (金) 0 時 49 分 38 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:08:02 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 2 秒 (日本時間)

7×10148+839

c141

name 名前Cyp
date 日付January 14, 2015 23:47:20 UTC 2015 年 1 月 15 日 (木) 8 時 47 分 20 秒 (日本時間)
composite number 合成数
105683822576736491379433247824703463385233496078720280148367827574319132463724265689135996991115141408978141775811219246345440959703077012727<141>
prime factors 素因数
11561454982493098090414486538064423999293<41>
9141048660118292517928952914608212008059855414936606926417102916184258039648644461913096130551427139<100>
factorization results 素因数分解の結果
01/14/15 23:18:19 v1.34.3, 
01/14/15 23:18:19 v1.34.3, ****************************
01/14/15 23:18:19 v1.34.3, Starting factorization of 105683822576736491379433247824703463385233496078720280148367827574319132463724265689135996991115141408978141775811219246345440959703077012727
01/14/15 23:18:19 v1.34.3, using pretesting plan: none
01/14/15 23:18:19 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/14/15 23:18:19 v1.34.3, ****************************
01/14/15 23:18:19 v1.34.3, nfs: commencing nfs on c141: 105683822576736491379433247824703463385233496078720280148367827574319132463724265689135996991115141408978141775811219246345440959703077012727
01/14/15 23:18:19 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/14/15 23:18:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/14/15 23:21:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
[23 lines snipped]
01/15/15 00:36:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 00:39:13 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 00:42:20 v1.34.3, nfs: commencing msieve filtering
01/15/15 00:43:10 v1.34.3, nfs: commencing msieve linear algebra
01/15/15 00:45:48 v1.34.3, nfs: commencing msieve sqrt
01/15/15 00:47:18 v1.34.3, prp41 = 11561454982493098090414486538064423999293
01/15/15 00:47:18 v1.34.3, prp100 = 9141048660118292517928952914608212008059855414936606926417102916184258039648644461913096130551427139
01/15/15 00:47:18 v1.34.3, NFS elapsed time = 5339.7723 seconds.
01/15/15 00:47:18 v1.34.3, 
01/15/15 00:47:18 v1.34.3, 
01/15/15 00:47:18 v1.34.3, Total factoring time = 5339.7733 seconds
--
Thu Jan 15 00:42:20 2015  
Thu Jan 15 00:42:20 2015  commencing relation filtering
Thu Jan 15 00:42:20 2015  estimated available RAM is 15987.3 MB
Thu Jan 15 00:42:20 2015  commencing duplicate removal, pass 1
Thu Jan 15 00:42:32 2015  found 574189 hash collisions in 4572938 relations
Thu Jan 15 00:42:36 2015  added 185654 free relations
Thu Jan 15 00:42:36 2015  commencing duplicate removal, pass 2
Thu Jan 15 00:42:40 2015  found 383019 duplicates and 4375573 unique relations
Thu Jan 15 00:42:40 2015  memory use: 20.6 MB
Thu Jan 15 00:42:40 2015  reading ideals above 100000
Thu Jan 15 00:42:40 2015  commencing singleton removal, initial pass
Thu Jan 15 00:42:58 2015  memory use: 94.1 MB
Thu Jan 15 00:42:58 2015  reading all ideals from disk
Thu Jan 15 00:42:58 2015  memory use: 146.0 MB
Thu Jan 15 00:42:58 2015  keeping 4836265 ideals with weight <= 200, target excess is 23825
Thu Jan 15 00:42:58 2015  commencing in-memory singleton removal
Thu Jan 15 00:42:58 2015  begin with 4375573 relations and 4836265 unique ideals
Thu Jan 15 00:43:00 2015  reduce to 1807873 relations and 1635960 ideals in 14 passes
Thu Jan 15 00:43:00 2015  max relations containing the same ideal: 110
Thu Jan 15 00:43:00 2015  removing 358242 relations and 286104 ideals in 72138 cliques
Thu Jan 15 00:43:00 2015  commencing in-memory singleton removal
Thu Jan 15 00:43:00 2015  begin with 1449631 relations and 1635960 unique ideals
Thu Jan 15 00:43:00 2015  reduce to 1393084 relations and 1290562 ideals in 8 passes
Thu Jan 15 00:43:00 2015  max relations containing the same ideal: 90
Thu Jan 15 00:43:01 2015  removing 288337 relations and 216199 ideals in 72138 cliques
Thu Jan 15 00:43:01 2015  commencing in-memory singleton removal
Thu Jan 15 00:43:01 2015  begin with 1104747 relations and 1290562 unique ideals
Thu Jan 15 00:43:01 2015  reduce to 1058594 relations and 1025904 ideals in 7 passes
Thu Jan 15 00:43:01 2015  max relations containing the same ideal: 75
Thu Jan 15 00:43:01 2015  relations with 0 large ideals: 528
Thu Jan 15 00:43:01 2015  relations with 1 large ideals: 123
Thu Jan 15 00:43:01 2015  relations with 2 large ideals: 1835
Thu Jan 15 00:43:01 2015  relations with 3 large ideals: 16154
Thu Jan 15 00:43:01 2015  relations with 4 large ideals: 73431
Thu Jan 15 00:43:01 2015  relations with 5 large ideals: 191423
Thu Jan 15 00:43:01 2015  relations with 6 large ideals: 305644
Thu Jan 15 00:43:01 2015  relations with 7+ large ideals: 469456
Thu Jan 15 00:43:01 2015  commencing 2-way merge
Thu Jan 15 00:43:01 2015  reduce to 643527 relation sets and 610837 unique ideals
Thu Jan 15 00:43:01 2015  commencing full merge
Thu Jan 15 00:43:08 2015  memory use: 79.8 MB
Thu Jan 15 00:43:08 2015  found 321130 cycles, need 313037
Thu Jan 15 00:43:08 2015  weight of 313037 cycles is about 22289055 (71.20/cycle)
Thu Jan 15 00:43:08 2015  distribution of cycle lengths:
Thu Jan 15 00:43:08 2015  1 relations: 30347
Thu Jan 15 00:43:08 2015  2 relations: 31170
Thu Jan 15 00:43:08 2015  3 relations: 32551
Thu Jan 15 00:43:08 2015  4 relations: 31465
Thu Jan 15 00:43:08 2015  5 relations: 30036
Thu Jan 15 00:43:08 2015  6 relations: 27764
Thu Jan 15 00:43:08 2015  7 relations: 24806
Thu Jan 15 00:43:08 2015  8 relations: 21537
Thu Jan 15 00:43:08 2015  9 relations: 18524
Thu Jan 15 00:43:08 2015  10+ relations: 64837
Thu Jan 15 00:43:08 2015  heaviest cycle: 20 relations
Thu Jan 15 00:43:08 2015  commencing cycle optimization
Thu Jan 15 00:43:08 2015  start with 1950223 relations
Thu Jan 15 00:43:10 2015  pruned 54473 relations
Thu Jan 15 00:43:10 2015  memory use: 62.1 MB
Thu Jan 15 00:43:10 2015  distribution of cycle lengths:
Thu Jan 15 00:43:10 2015  1 relations: 30347
Thu Jan 15 00:43:10 2015  2 relations: 31821
Thu Jan 15 00:43:10 2015  3 relations: 33687
Thu Jan 15 00:43:10 2015  4 relations: 32311
Thu Jan 15 00:43:10 2015  5 relations: 31102
Thu Jan 15 00:43:10 2015  6 relations: 28542
Thu Jan 15 00:43:10 2015  7 relations: 25486
Thu Jan 15 00:43:10 2015  8 relations: 21780
Thu Jan 15 00:43:10 2015  9 relations: 18651
Thu Jan 15 00:43:10 2015  10+ relations: 59310
Thu Jan 15 00:43:10 2015  heaviest cycle: 20 relations
Thu Jan 15 00:43:10 2015  RelProcTime: 50
Thu Jan 15 00:43:10 2015  
Thu Jan 15 00:43:10 2015  commencing linear algebra
Thu Jan 15 00:43:10 2015  read 313037 cycles
Thu Jan 15 00:43:10 2015  cycles contain 1010525 unique relations
Thu Jan 15 00:43:15 2015  read 1010525 relations
Thu Jan 15 00:43:16 2015  using 20 quadratic characters above 67105502
Thu Jan 15 00:43:19 2015  building initial matrix
Thu Jan 15 00:43:24 2015  memory use: 122.4 MB
Thu Jan 15 00:43:24 2015  read 313037 cycles
Thu Jan 15 00:43:24 2015  matrix is 312859 x 313037 (94.2 MB) with weight 28215344 (90.13/col)
Thu Jan 15 00:43:24 2015  sparse part has weight 21252661 (67.89/col)
Thu Jan 15 00:43:25 2015  filtering completed in 2 passes
Thu Jan 15 00:43:25 2015  matrix is 312586 x 312764 (94.2 MB) with weight 28202919 (90.17/col)
Thu Jan 15 00:43:25 2015  sparse part has weight 21246493 (67.93/col)
Thu Jan 15 00:43:25 2015  matrix starts at (0, 0)
Thu Jan 15 00:43:25 2015  matrix is 312586 x 312764 (94.2 MB) with weight 28202919 (90.17/col)
Thu Jan 15 00:43:25 2015  sparse part has weight 21246493 (67.93/col)
Thu Jan 15 00:43:25 2015  saving the first 48 matrix rows for later
Thu Jan 15 00:43:25 2015  matrix includes 64 packed rows
Thu Jan 15 00:43:25 2015  matrix is 312538 x 312764 (88.6 MB) with weight 22246479 (71.13/col)
Thu Jan 15 00:43:25 2015  sparse part has weight 20101381 (64.27/col)
Thu Jan 15 00:43:25 2015  using block size 65536 for processor cache size 8192 kB
Thu Jan 15 00:43:26 2015  commencing Lanczos iteration (8 threads)
Thu Jan 15 00:43:26 2015  memory use: 85.0 MB
Thu Jan 15 00:43:32 2015  linear algebra at 3.9%, ETA 0h 2m
Thu Jan 15 00:45:48 2015  lanczos halted after 4943 iterations (dim = 312534)
Thu Jan 15 00:45:48 2015  recovered 34 nontrivial dependencies
Thu Jan 15 00:45:48 2015  BLanczosTime: 158
Thu Jan 15 00:45:48 2015  
Thu Jan 15 00:45:48 2015  commencing square root phase
Thu Jan 15 00:45:48 2015  reading relations for dependency 1
Thu Jan 15 00:45:48 2015  read 156660 cycles
Thu Jan 15 00:45:48 2015  cycles contain 506514 unique relations
Thu Jan 15 00:45:52 2015  read 506514 relations
Thu Jan 15 00:45:53 2015  multiplying 506514 relations
Thu Jan 15 00:46:03 2015  multiply complete, coefficients have about 16.77 million bits
Thu Jan 15 00:46:03 2015  initial square root is modulo 65651
Thu Jan 15 00:46:19 2015  GCD is N, no factor found
Thu Jan 15 00:46:19 2015  reading relations for dependency 2
Thu Jan 15 00:46:19 2015  read 155868 cycles
Thu Jan 15 00:46:19 2015  cycles contain 504058 unique relations
Thu Jan 15 00:46:23 2015  read 504058 relations
Thu Jan 15 00:46:24 2015  multiplying 504058 relations
Thu Jan 15 00:46:34 2015  multiply complete, coefficients have about 16.69 million bits
Thu Jan 15 00:46:34 2015  initial square root is modulo 62081
Thu Jan 15 00:46:47 2015  GCD is N, no factor found
Thu Jan 15 00:46:47 2015  reading relations for dependency 3
Thu Jan 15 00:46:47 2015  read 156718 cycles
Thu Jan 15 00:46:47 2015  cycles contain 506982 unique relations
Thu Jan 15 00:46:51 2015  read 506982 relations
Thu Jan 15 00:46:52 2015  multiplying 506982 relations
Thu Jan 15 00:47:02 2015  multiply complete, coefficients have about 16.78 million bits
Thu Jan 15 00:47:02 2015  initial square root is modulo 66191
Thu Jan 15 00:47:18 2015  sqrtTime: 90
--
n: 105683822576736491379433247824703463385233496078720280148367827574319132463724265689135996991115141408978141775811219246345440959703077012727
m: 100000000000000000000000000000
deg: 5
c5: 7000
c0: 83
skew: 0.41
# Murphy_E = 1.156e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
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
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:49:57 UTC 2015 年 1 月 9 日 (金) 0 時 49 分 57 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:08:02 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 2 秒 (日本時間)

7×10150+839

c111

name 名前KTakahashi
date 日付January 8, 2015 15:51:07 UTC 2015 年 1 月 9 日 (金) 0 時 51 分 7 秒 (日本時間)
composite number 合成数
489874804739685489227527098079192222224416442779027541274979414074476063073121085480679565473208983014406313833<111>
prime factors 素因数
420742723278509728899189740981<30>
1164309630651446655299792201273506616344382790640694938976908266761681604175694693<82>
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 489874804739685489227527098079192222224416442779027541274979414074476063073121085480679565473208983014406313833 (111 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1005039971
Step 1 took 2574ms
Step 2 took 1700ms
********** Factor found in step 2: 420742723278509728899189740981
Found probable prime factor of 30 digits: 420742723278509728899189740981
Probable prime cofactor 1164309630651446655299792201273506616344382790640694938976908266761681604175694693 has 82 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10155+839

c113

name 名前Cyp
date 日付January 18, 2015 16:44:04 UTC 2015 年 1 月 19 日 (月) 1 時 44 分 4 秒 (日本時間)
composite number 合成数
50227037619000087711521065443510296627261759467158901100858838513909932588161504613752691587604898847027452362509<113>
prime factors 素因数
1109753662339808722547794012786747512485414921<46>
45259627720535038372162026541507150286524287926733178416679831033829<68>
factorization results 素因数分解の結果
01/18/15 15:19:57 v1.34.3, 
01/18/15 15:19:57 v1.34.3, ****************************
01/18/15 15:19:57 v1.34.3, Starting factorization of 50227037619000087711521065443510296627261759467158901100858838513909932588161504613752691587604898847027452362509
01/18/15 15:19:57 v1.34.3, using pretesting plan: none
01/18/15 15:19:57 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/18/15 15:19:57 v1.34.3, ****************************
01/18/15 15:19:57 v1.34.3, nfs: commencing nfs on c113: 50227037619000087711521065443510296627261759467158901100858838513909932588161504613752691587604898847027452362509
01/18/15 15:19:57 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/18/15 15:19:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/18/15 15:20:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
[159 lines snipped]
01/18/15 17:35:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/18/15 17:36:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/18/15 17:36:55 v1.34.3, nfs: commencing msieve filtering
01/18/15 17:38:37 v1.34.3, nfs: commencing msieve linear algebra
01/18/15 17:43:33 v1.34.3, nfs: commencing msieve sqrt
01/18/15 17:44:03 v1.34.3, prp46 = 1109753662339808722547794012786747512485414921
01/18/15 17:44:03 v1.34.3, prp68 = 45259627720535038372162026541507150286524287926733178416679831033829
01/18/15 17:44:03 v1.34.3, NFS elapsed time = 8646.4255 seconds.
01/18/15 17:44:03 v1.34.3, 
01/18/15 17:44:03 v1.34.3, 
01/18/15 17:44:03 v1.34.3, Total factoring time = 8646.4260 seconds
--
Sun Jan 18 17:36:55 2015  
Sun Jan 18 17:36:55 2015  commencing relation filtering
Sun Jan 18 17:36:55 2015  estimated available RAM is 15987.3 MB
Sun Jan 18 17:36:55 2015  commencing duplicate removal, pass 1
Sun Jan 18 17:37:22 2015  found 1610077 hash collisions in 10084964 relations
Sun Jan 18 17:37:30 2015  added 356721 free relations
Sun Jan 18 17:37:30 2015  commencing duplicate removal, pass 2
Sun Jan 18 17:37:38 2015  found 1261032 duplicates and 9180653 unique relations
Sun Jan 18 17:37:38 2015  memory use: 41.3 MB
Sun Jan 18 17:37:38 2015  reading ideals above 100000
Sun Jan 18 17:37:38 2015  commencing singleton removal, initial pass
Sun Jan 18 17:38:17 2015  memory use: 188.2 MB
Sun Jan 18 17:38:17 2015  reading all ideals from disk
Sun Jan 18 17:38:17 2015  memory use: 310.5 MB
Sun Jan 18 17:38:18 2015  keeping 9564631 ideals with weight <= 200, target excess is 46624
Sun Jan 18 17:38:18 2015  commencing in-memory singleton removal
Sun Jan 18 17:38:18 2015  begin with 9180653 relations and 9564631 unique ideals
Sun Jan 18 17:38:21 2015  reduce to 4247675 relations and 3470434 ideals in 13 passes
Sun Jan 18 17:38:21 2015  max relations containing the same ideal: 120
Sun Jan 18 17:38:22 2015  removing 1230674 relations and 869095 ideals in 361579 cliques
Sun Jan 18 17:38:22 2015  commencing in-memory singleton removal
Sun Jan 18 17:38:23 2015  begin with 3017001 relations and 3470434 unique ideals
Sun Jan 18 17:38:23 2015  reduce to 2776030 relations and 2334857 ideals in 9 passes
Sun Jan 18 17:38:23 2015  max relations containing the same ideal: 89
Sun Jan 18 17:38:24 2015  removing 1029932 relations and 668353 ideals in 361579 cliques
Sun Jan 18 17:38:24 2015  commencing in-memory singleton removal
Sun Jan 18 17:38:24 2015  begin with 1746098 relations and 2334857 unique ideals
Sun Jan 18 17:38:25 2015  reduce to 1533324 relations and 1425682 ideals in 9 passes
Sun Jan 18 17:38:25 2015  max relations containing the same ideal: 61
Sun Jan 18 17:38:25 2015  removing 221988 relations and 168430 ideals in 53558 cliques
Sun Jan 18 17:38:25 2015  commencing in-memory singleton removal
Sun Jan 18 17:38:25 2015  begin with 1311336 relations and 1425682 unique ideals
Sun Jan 18 17:38:26 2015  reduce to 1286436 relations and 1231484 ideals in 7 passes
Sun Jan 18 17:38:26 2015  max relations containing the same ideal: 58
Sun Jan 18 17:38:26 2015  relations with 0 large ideals: 1101
Sun Jan 18 17:38:26 2015  relations with 1 large ideals: 641
Sun Jan 18 17:38:26 2015  relations with 2 large ideals: 10382
Sun Jan 18 17:38:26 2015  relations with 3 large ideals: 64052
Sun Jan 18 17:38:26 2015  relations with 4 large ideals: 200240
Sun Jan 18 17:38:26 2015  relations with 5 large ideals: 347723
Sun Jan 18 17:38:26 2015  relations with 6 large ideals: 365359
Sun Jan 18 17:38:26 2015  relations with 7+ large ideals: 296938
Sun Jan 18 17:38:26 2015  commencing 2-way merge
Sun Jan 18 17:38:26 2015  reduce to 808575 relation sets and 753623 unique ideals
Sun Jan 18 17:38:26 2015  commencing full merge
Sun Jan 18 17:38:34 2015  memory use: 97.0 MB
Sun Jan 18 17:38:34 2015  found 419713 cycles, need 411823
Sun Jan 18 17:38:34 2015  weight of 411823 cycles is about 28962083 (70.33/cycle)
Sun Jan 18 17:38:34 2015  distribution of cycle lengths:
Sun Jan 18 17:38:34 2015  1 relations: 30202
Sun Jan 18 17:38:34 2015  2 relations: 39628
Sun Jan 18 17:38:34 2015  3 relations: 44551
Sun Jan 18 17:38:34 2015  4 relations: 43856
Sun Jan 18 17:38:34 2015  5 relations: 42978
Sun Jan 18 17:38:34 2015  6 relations: 39757
Sun Jan 18 17:38:34 2015  7 relations: 36068
Sun Jan 18 17:38:34 2015  8 relations: 30620
Sun Jan 18 17:38:34 2015  9 relations: 25603
Sun Jan 18 17:38:34 2015  10+ relations: 78560
Sun Jan 18 17:38:34 2015  heaviest cycle: 20 relations
Sun Jan 18 17:38:34 2015  commencing cycle optimization
Sun Jan 18 17:38:34 2015  start with 2553225 relations
Sun Jan 18 17:38:37 2015  pruned 78709 relations
Sun Jan 18 17:38:37 2015  memory use: 79.1 MB
Sun Jan 18 17:38:37 2015  distribution of cycle lengths:
Sun Jan 18 17:38:37 2015  1 relations: 30202
Sun Jan 18 17:38:37 2015  2 relations: 40554
Sun Jan 18 17:38:37 2015  3 relations: 46103
Sun Jan 18 17:38:37 2015  4 relations: 45399
Sun Jan 18 17:38:37 2015  5 relations: 44680
Sun Jan 18 17:38:37 2015  6 relations: 40883
Sun Jan 18 17:38:37 2015  7 relations: 37217
Sun Jan 18 17:38:37 2015  8 relations: 31030
Sun Jan 18 17:38:37 2015  9 relations: 25548
Sun Jan 18 17:38:37 2015  10+ relations: 70207
Sun Jan 18 17:38:37 2015  heaviest cycle: 19 relations
Sun Jan 18 17:38:37 2015  RelProcTime: 102
Sun Jan 18 17:38:37 2015  
Sun Jan 18 17:38:37 2015  commencing linear algebra
Sun Jan 18 17:38:37 2015  read 411823 cycles
Sun Jan 18 17:38:37 2015  cycles contain 1250137 unique relations
Sun Jan 18 17:38:46 2015  read 1250137 relations
Sun Jan 18 17:38:47 2015  using 20 quadratic characters above 134216114
Sun Jan 18 17:38:51 2015  building initial matrix
Sun Jan 18 17:38:57 2015  memory use: 153.5 MB
Sun Jan 18 17:38:58 2015  read 411823 cycles
Sun Jan 18 17:38:58 2015  matrix is 411646 x 411823 (122.7 MB) with weight 36452664 (88.52/col)
Sun Jan 18 17:38:58 2015  sparse part has weight 27622740 (67.07/col)
Sun Jan 18 17:38:59 2015  filtering completed in 2 passes
Sun Jan 18 17:38:59 2015  matrix is 411554 x 411731 (122.6 MB) with weight 36449509 (88.53/col)
Sun Jan 18 17:38:59 2015  sparse part has weight 27621568 (67.09/col)
Sun Jan 18 17:39:00 2015  matrix starts at (0, 0)
Sun Jan 18 17:39:00 2015  matrix is 411554 x 411731 (122.6 MB) with weight 36449509 (88.53/col)
Sun Jan 18 17:39:00 2015  sparse part has weight 27621568 (67.09/col)
Sun Jan 18 17:39:00 2015  saving the first 48 matrix rows for later
Sun Jan 18 17:39:00 2015  matrix includes 64 packed rows
Sun Jan 18 17:39:00 2015  matrix is 411506 x 411731 (115.1 MB) with weight 28668164 (69.63/col)
Sun Jan 18 17:39:00 2015  sparse part has weight 26054991 (63.28/col)
Sun Jan 18 17:39:00 2015  using block size 65536 for processor cache size 8192 kB
Sun Jan 18 17:39:01 2015  commencing Lanczos iteration (8 threads)
Sun Jan 18 17:39:01 2015  memory use: 110.9 MB
Sun Jan 18 17:39:09 2015  linear algebra at 2.9%, ETA 0h 4m
Sun Jan 18 17:43:32 2015  lanczos halted after 6511 iterations (dim = 411504)
Sun Jan 18 17:43:33 2015  recovered 37 nontrivial dependencies
Sun Jan 18 17:43:33 2015  BLanczosTime: 296
Sun Jan 18 17:43:33 2015  
Sun Jan 18 17:43:33 2015  commencing square root phase
Sun Jan 18 17:43:33 2015  reading relations for dependency 1
Sun Jan 18 17:43:33 2015  read 206377 cycles
Sun Jan 18 17:43:33 2015  cycles contain 626192 unique relations
Sun Jan 18 17:43:41 2015  read 626192 relations
Sun Jan 18 17:43:42 2015  multiplying 626192 relations
Sun Jan 18 17:43:51 2015  multiply complete, coefficients have about 14.80 million bits
Sun Jan 18 17:43:51 2015  initial square root is modulo 316914041
Sun Jan 18 17:44:03 2015  sqrtTime: 30
--
n: 50227037619000087711521065443510296627261759467158901100858838513909932588161504613752691587604898847027452362509
m: 10000000000000000000000000000000
deg: 5
c5: 7
c0: 83
skew: 1.64
# Murphy_E = 8.668e-10
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6330 / 2318Pierre JammesJanuary 9, 2015 20:36:37 UTC 2015 年 1 月 10 日 (土) 5 時 36 分 37 秒 (日本時間)

7×10156+839

c151

name 名前Cyp
date 日付January 12, 2015 17:48:50 UTC 2015 年 1 月 13 日 (火) 2 時 48 分 50 秒 (日本時間)
composite number 合成数
5216029305142930380166570170124521522454633585118519363018501255945341974058450824393431677840146585326415388180626623954838127981985325074123502161299<151>
prime factors 素因数
117038298963594655455519828537442234050961637<45>
44566858467119401811599598024529939063063111202033452260440540624433041922286811163863701914679478321538327<107>
factorization results 素因数分解の結果
01/12/15 15:39:42 v1.34.3, 
01/12/15 15:39:42 v1.34.3, ****************************
01/12/15 15:39:42 v1.34.3, Starting factorization of 5216029305142930380166570170124521522454633585118519363018501255945341974058450824393431677840146585326415388180626623954838127981985325074123502161299
01/12/15 15:39:42 v1.34.3, using pretesting plan: none
01/12/15 15:39:42 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/12/15 15:39:42 v1.34.3, ****************************
01/12/15 15:39:42 v1.34.3, nfs: commencing nfs on c151: 5216029305142930380166570170124521522454633585118519363018501255945341974058450824393431677840146585326415388180626623954838127981985325074123502161299
01/12/15 15:39:42 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/12/15 15:39:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/12/15 15:43:49 v1.34.3, nfs: commencing lattice sieving with 8 threads
[38 lines snipped]
01/12/15 18:29:59 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/12/15 18:34:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/12/15 18:38:51 v1.34.3, nfs: commencing msieve filtering
01/12/15 18:40:39 v1.34.3, nfs: commencing msieve linear algebra
01/12/15 18:45:53 v1.34.3, nfs: commencing msieve sqrt
01/12/15 18:48:49 v1.34.3, prp107 = 44566858467119401811599598024529939063063111202033452260440540624433041922286811163863701914679478321538327
01/12/15 18:48:49 v1.34.3, prp45 = 117038298963594655455519828537442234050961637
01/12/15 18:48:49 v1.34.3, NFS elapsed time = 11347.6940 seconds.
01/12/15 18:48:49 v1.34.3, 
01/12/15 18:48:49 v1.34.3, 
01/12/15 18:48:49 v1.34.3, Total factoring time = 11347.6950 seconds
--
Mon Jan 12 18:38:51 2015  
Mon Jan 12 18:38:51 2015  commencing relation filtering
Mon Jan 12 18:38:51 2015  estimated available RAM is 15987.3 MB
Mon Jan 12 18:38:51 2015  commencing duplicate removal, pass 1
Mon Jan 12 18:39:18 2015  found 1401961 hash collisions in 10185321 relations
Mon Jan 12 18:39:27 2015  added 359033 free relations
Mon Jan 12 18:39:27 2015  commencing duplicate removal, pass 2
Mon Jan 12 18:39:35 2015  found 957538 duplicates and 9586816 unique relations
Mon Jan 12 18:39:35 2015  memory use: 41.3 MB
Mon Jan 12 18:39:35 2015  reading ideals above 100000
Mon Jan 12 18:39:35 2015  commencing singleton removal, initial pass
Mon Jan 12 18:40:17 2015  memory use: 188.2 MB
Mon Jan 12 18:40:17 2015  reading all ideals from disk
Mon Jan 12 18:40:17 2015  memory use: 334.1 MB
Mon Jan 12 18:40:18 2015  keeping 9763191 ideals with weight <= 200, target excess is 51853
Mon Jan 12 18:40:18 2015  commencing in-memory singleton removal
Mon Jan 12 18:40:19 2015  begin with 9586816 relations and 9763191 unique ideals
Mon Jan 12 18:40:22 2015  reduce to 4671918 relations and 3747209 ideals in 13 passes
Mon Jan 12 18:40:22 2015  max relations containing the same ideal: 126
Mon Jan 12 18:40:23 2015  removing 1307244 relations and 907244 ideals in 400000 cliques
Mon Jan 12 18:40:23 2015  commencing in-memory singleton removal
Mon Jan 12 18:40:23 2015  begin with 3364674 relations and 3747209 unique ideals
Mon Jan 12 18:40:24 2015  reduce to 3127009 relations and 2577658 ideals in 9 passes
Mon Jan 12 18:40:24 2015  max relations containing the same ideal: 96
Mon Jan 12 18:40:25 2015  removing 1107987 relations and 707987 ideals in 400000 cliques
Mon Jan 12 18:40:25 2015  commencing in-memory singleton removal
Mon Jan 12 18:40:25 2015  begin with 2019022 relations and 2577658 unique ideals
Mon Jan 12 18:40:26 2015  reduce to 1800977 relations and 1624669 ideals in 10 passes
Mon Jan 12 18:40:26 2015  max relations containing the same ideal: 70
Mon Jan 12 18:40:27 2015  removing 396343 relations and 280185 ideals in 116158 cliques
Mon Jan 12 18:40:27 2015  commencing in-memory singleton removal
Mon Jan 12 18:40:27 2015  begin with 1404634 relations and 1624669 unique ideals
Mon Jan 12 18:40:27 2015  reduce to 1336498 relations and 1271914 ideals in 8 passes
Mon Jan 12 18:40:27 2015  max relations containing the same ideal: 56
Mon Jan 12 18:40:27 2015  relations with 0 large ideals: 1181
Mon Jan 12 18:40:27 2015  relations with 1 large ideals: 612
Mon Jan 12 18:40:27 2015  relations with 2 large ideals: 8933
Mon Jan 12 18:40:27 2015  relations with 3 large ideals: 58565
Mon Jan 12 18:40:27 2015  relations with 4 large ideals: 192161
Mon Jan 12 18:40:27 2015  relations with 5 large ideals: 348289
Mon Jan 12 18:40:27 2015  relations with 6 large ideals: 383641
Mon Jan 12 18:40:27 2015  relations with 7+ large ideals: 343116
Mon Jan 12 18:40:27 2015  commencing 2-way merge
Mon Jan 12 18:40:28 2015  reduce to 828007 relation sets and 763423 unique ideals
Mon Jan 12 18:40:28 2015  commencing full merge
Mon Jan 12 18:40:35 2015  memory use: 99.7 MB
Mon Jan 12 18:40:36 2015  found 425720 cycles, need 413623
Mon Jan 12 18:40:36 2015  weight of 413623 cycles is about 29269381 (70.76/cycle)
Mon Jan 12 18:40:36 2015  distribution of cycle lengths:
Mon Jan 12 18:40:36 2015  1 relations: 35437
Mon Jan 12 18:40:36 2015  2 relations: 40203
Mon Jan 12 18:40:36 2015  3 relations: 43717
Mon Jan 12 18:40:36 2015  4 relations: 43877
Mon Jan 12 18:40:36 2015  5 relations: 43590
Mon Jan 12 18:40:36 2015  6 relations: 40327
Mon Jan 12 18:40:36 2015  7 relations: 36163
Mon Jan 12 18:40:36 2015  8 relations: 30887
Mon Jan 12 18:40:36 2015  9 relations: 25395
Mon Jan 12 18:40:36 2015  10+ relations: 74027
Mon Jan 12 18:40:36 2015  heaviest cycle: 19 relations
Mon Jan 12 18:40:36 2015  commencing cycle optimization
Mon Jan 12 18:40:36 2015  start with 2498268 relations
Mon Jan 12 18:40:38 2015  pruned 77637 relations
Mon Jan 12 18:40:38 2015  memory use: 79.2 MB
Mon Jan 12 18:40:38 2015  distribution of cycle lengths:
Mon Jan 12 18:40:38 2015  1 relations: 35437
Mon Jan 12 18:40:38 2015  2 relations: 41096
Mon Jan 12 18:40:38 2015  3 relations: 45315
Mon Jan 12 18:40:38 2015  4 relations: 45446
Mon Jan 12 18:40:38 2015  5 relations: 45312
Mon Jan 12 18:40:38 2015  6 relations: 41650
Mon Jan 12 18:40:38 2015  7 relations: 37319
Mon Jan 12 18:40:38 2015  8 relations: 31405
Mon Jan 12 18:40:38 2015  9 relations: 25507
Mon Jan 12 18:40:38 2015  10+ relations: 65136
Mon Jan 12 18:40:38 2015  heaviest cycle: 19 relations
Mon Jan 12 18:40:39 2015  RelProcTime: 108
Mon Jan 12 18:40:39 2015  
Mon Jan 12 18:40:39 2015  commencing linear algebra
Mon Jan 12 18:40:39 2015  read 413623 cycles
Mon Jan 12 18:40:39 2015  cycles contain 1276527 unique relations
Mon Jan 12 18:40:48 2015  read 1276527 relations
Mon Jan 12 18:40:49 2015  using 20 quadratic characters above 134211170
Mon Jan 12 18:40:53 2015  building initial matrix
Mon Jan 12 18:40:59 2015  memory use: 158.3 MB
Mon Jan 12 18:41:00 2015  read 413623 cycles
Mon Jan 12 18:41:00 2015  matrix is 413446 x 413623 (123.7 MB) with weight 36713063 (88.76/col)
Mon Jan 12 18:41:00 2015  sparse part has weight 27886240 (67.42/col)
Mon Jan 12 18:41:01 2015  filtering completed in 2 passes
Mon Jan 12 18:41:01 2015  matrix is 413224 x 413401 (123.7 MB) with weight 36703137 (88.78/col)
Mon Jan 12 18:41:01 2015  sparse part has weight 27881182 (67.44/col)
Mon Jan 12 18:41:02 2015  matrix starts at (0, 0)
Mon Jan 12 18:41:02 2015  matrix is 413224 x 413401 (123.7 MB) with weight 36703137 (88.78/col)
Mon Jan 12 18:41:02 2015  sparse part has weight 27881182 (67.44/col)
Mon Jan 12 18:41:02 2015  saving the first 48 matrix rows for later
Mon Jan 12 18:41:02 2015  matrix includes 64 packed rows
Mon Jan 12 18:41:02 2015  matrix is 413176 x 413401 (116.3 MB) with weight 28912761 (69.94/col)
Mon Jan 12 18:41:02 2015  sparse part has weight 26364380 (63.77/col)
Mon Jan 12 18:41:02 2015  using block size 65536 for processor cache size 8192 kB
Mon Jan 12 18:41:03 2015  commencing Lanczos iteration (8 threads)
Mon Jan 12 18:41:03 2015  memory use: 112.5 MB
Mon Jan 12 18:41:11 2015  linear algebra at 2.9%, ETA 0h 4m
Mon Jan 12 18:45:52 2015  lanczos halted after 6537 iterations (dim = 413172)
Mon Jan 12 18:45:53 2015  recovered 34 nontrivial dependencies
Mon Jan 12 18:45:53 2015  BLanczosTime: 314
Mon Jan 12 18:45:53 2015  
Mon Jan 12 18:45:53 2015  commencing square root phase
Mon Jan 12 18:45:53 2015  reading relations for dependency 1
Mon Jan 12 18:45:53 2015  read 206464 cycles
Mon Jan 12 18:45:53 2015  cycles contain 637150 unique relations
Mon Jan 12 18:46:01 2015  read 637150 relations
Mon Jan 12 18:46:02 2015  multiplying 637150 relations
Mon Jan 12 18:46:13 2015  multiply complete, coefficients have about 17.48 million bits
Mon Jan 12 18:46:13 2015  initial square root is modulo 105251
Mon Jan 12 18:46:27 2015  GCD is N, no factor found
Mon Jan 12 18:46:27 2015  reading relations for dependency 2
Mon Jan 12 18:46:27 2015  read 206448 cycles
Mon Jan 12 18:46:27 2015  cycles contain 637730 unique relations
Mon Jan 12 18:46:35 2015  read 637730 relations
Mon Jan 12 18:46:36 2015  multiplying 637730 relations
Mon Jan 12 18:46:48 2015  multiply complete, coefficients have about 17.50 million bits
Mon Jan 12 18:46:48 2015  initial square root is modulo 106291
Mon Jan 12 18:47:02 2015  GCD is 1, no factor found
Mon Jan 12 18:47:02 2015  reading relations for dependency 3
Mon Jan 12 18:47:02 2015  read 206747 cycles
Mon Jan 12 18:47:02 2015  cycles contain 638480 unique relations
Mon Jan 12 18:47:10 2015  read 638480 relations
Mon Jan 12 18:47:11 2015  multiplying 638480 relations
Mon Jan 12 18:47:23 2015  multiply complete, coefficients have about 17.52 million bits
Mon Jan 12 18:47:23 2015  initial square root is modulo 107881
Mon Jan 12 18:47:37 2015  GCD is N, no factor found
Mon Jan 12 18:47:37 2015  reading relations for dependency 4
Mon Jan 12 18:47:37 2015  read 206710 cycles
Mon Jan 12 18:47:37 2015  cycles contain 638430 unique relations
Mon Jan 12 18:47:45 2015  read 638430 relations
Mon Jan 12 18:47:47 2015  multiplying 638430 relations
Mon Jan 12 18:47:59 2015  multiply complete, coefficients have about 17.52 million bits
Mon Jan 12 18:47:59 2015  initial square root is modulo 107641
Mon Jan 12 18:48:13 2015  GCD is 1, no factor found
Mon Jan 12 18:48:13 2015  reading relations for dependency 5
Mon Jan 12 18:48:13 2015  read 206763 cycles
Mon Jan 12 18:48:13 2015  cycles contain 636584 unique relations
Mon Jan 12 18:48:21 2015  read 636584 relations
Mon Jan 12 18:48:22 2015  multiplying 636584 relations
Mon Jan 12 18:48:33 2015  multiply complete, coefficients have about 17.47 million bits
Mon Jan 12 18:48:33 2015  initial square root is modulo 104231
Mon Jan 12 18:48:49 2015  sqrtTime: 176
--
n: 5216029305142930380166570170124521522454633585118519363018501255945341974058450824393431677840146585326415388180626623954838127981985325074123502161299
m: 10000000000000000000000000000000
deg: 5
c5: 70
c0: 83
skew: 1.03
# Murphy_E = 6.215e-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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:08:03 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 3 秒 (日本時間)

7×10157+839

c116

name 名前Ignacio Santos
date 日付January 13, 2015 14:27:17 UTC 2015 年 1 月 13 日 (火) 23 時 27 分 17 秒 (日本時間)
composite number 合成数
65909269609884575477570800394180791741055789022514312357975560034090098846510633798277204783025304091441077020478517<116>
prime factors 素因数
81263604640047120288061450808941217<35>
811055206101504265275544859924107554981594738449300568029107700132444356918426901<81>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3089984299
Step 1 took 4484ms
Step 2 took 3625ms
********** Factor found in step 2: 81263604640047120288061450808941217
Found probable prime factor of 35 digits: 81263604640047120288061450808941217
Probable prime cofactor 811055206101504265275544859924107554981594738449300568029107700132444356918426901 has 81 digits
software ソフトウェア
GMP-ECM 7.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 562Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6122 / 2318Pierre JammesJanuary 9, 2015 21:17:06 UTC 2015 年 1 月 10 日 (土) 6 時 17 分 6 秒 (日本時間)

7×10159+839

c122

name 名前Jo Yeong Uk
date 日付January 20, 2015 21:58:48 UTC 2015 年 1 月 21 日 (水) 6 時 58 分 48 秒 (日本時間)
composite number 合成数
29528518274243028953668929258750399624361863584442220692001349067000204576329255242834517848254426375084991311398008513213<122>
prime factors 素因数
9148894349350877012960908129150035976986930777359<49>
3227550471859816170768438654338400463057434194335320407174806845502696307<73>
factorization results 素因数分解の結果
Number: 77787_159
N=29528518274243028953668929258750399624361863584442220692001349067000204576329255242834517848254426375084991311398008513213
  ( 122 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=9148894349350877012960908129150035976986930777359
 r2=3227550471859816170768438654338400463057434194335320407174806845502696307
Version: 
Total time: 9.37 hours.
Scaled time: 49.22 units (timescale=5.254).
Factorization parameters were as follows:
n: 29528518274243028953668929258750399624361863584442220692001349067000204576329255242834517848254426375084991311398008513213
m: 100000000000000000000000000000000
deg: 5
c5: 7
c0: 830
skew: 2.60
# Murphy_E = 5.12e-10
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1650000, 3000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9443423
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 585638 x 585886
Total sieving time: 8.58 hours.
Total relation processing time: 0.41 hours.
Matrix solve time: 0.32 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,75000
total time: 9.37 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e60--
4511e6672 / 4475Pierre JammesJanuary 10, 2015 08:25:04 UTC 2015 年 1 月 10 日 (土) 17 時 25 分 4 秒 (日本時間)

7×10162+839

c117

name 名前Jo Yeong Uk
date 日付January 24, 2015 23:34:43 UTC 2015 年 1 月 25 日 (日) 8 時 34 分 43 秒 (日本時間)
composite number 合成数
191382910364659302191216012728458009047245993756854520146524514472846137210792910316755707746788430245219242470805047<117>
prime factors 素因数
1207376484482113079379187815916721896131745656940529<52>
158511378036942860988492576135389320558784449763211225530983448743<66>
factorization results 素因数分解の結果
Number: 77787_162
N=191382910364659302191216012728458009047245993756854520146524514472846137210792910316755707746788430245219242470805047
  ( 117 digits)
Divisors found:
 r1=1207376484482113079379187815916721896131745656940529
 r2=158511378036942860988492576135389320558784449763211225530983448743
Version: 
Total time: 11.33 hours.
Scaled time: 59.54 units (timescale=5.254).
Factorization parameters were as follows:
name: 77787_162
n: 191382910364659302191216012728458009047245993756854520146524514472846137210792910316755707746788430245219242470805047
skew: 51916.78
# norm 3.18e+16
c5: 67320
c4: -15612328381
c3: 206091059849671
c2: 14755635897093875348
c1: -686150520940903099869567
c0: -9776967305566709382795825255
# alpha -6.96
Y1: 1926213678097
Y0: -19532318435889341945062
# Murphy_E 4.53e-10
# M 178882869633173412625233795094368505697160273141736211106013873576157152282186198498589820387738381867008469579311773
type: gnfs
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 75000
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1650000, 2850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9729759
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 554442 x 554690
Polynomial selection time: 1.73 hours.
Total sieving time: 8.89 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 0.29 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3300000,3300000,27,27,53,53,2.5,2.5,75000
total time: 11.33 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
351e6418118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 13, 2015 14:28:40 UTC 2015 年 1 月 13 日 (火) 23 時 28 分 40 秒 (日本時間)
403e6110Ignacio SantosJanuary 13, 2015 14:28:40 UTC 2015 年 1 月 13 日 (火) 23 時 28 分 40 秒 (日本時間)
4511e6832 / 439532Ignacio SantosJanuary 13, 2015 14:28:40 UTC 2015 年 1 月 13 日 (火) 23 時 28 分 40 秒 (日本時間)
800Pierre JammesJanuary 24, 2015 07:29:02 UTC 2015 年 1 月 24 日 (土) 16 時 29 分 2 秒 (日本時間)
5043e612 / 7360Pierre JammesJanuary 23, 2015 08:55:23 UTC 2015 年 1 月 23 日 (金) 17 時 55 分 23 秒 (日本時間)

7×10163+839

c100

name 名前Serge Batalov
date 日付January 9, 2015 01:27:27 UTC 2015 年 1 月 9 日 (金) 10 時 27 分 27 秒 (日本時間)
composite number 合成数
2879714791051329946684712376191138100935667670024714969576750690224882322914883269544829252795533769<100>
prime factors 素因数
26883165195121353549545586626762589833317<41>
107119633054738984539707176020654849258828761209526978059157<60>
factorization results 素因数分解の結果
Divisors found:
 r1=26883165195121353549545586626762589833317 (pp41)
 r2=107119633054738984539707176020654849258828761209526978059157 (pp60)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 1.78 hours.
Scaled time: 4.27 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  2879714791051329946684712376191138100935667670024714969576750690224882322914883269544829252795533769
skew:  2991513.53
Y0:  -1511306991866382163451415
Y1:  222321746591
c0:  -3435171421927419063697998736
c1:  24605518197067294067466
c2:  6218678255718685
c3:  -3170172102
c4:  552
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1300001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 222488 x 222718
Total sieving time: 1.68 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,99,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,80000
total time: 1.78 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10164+839

c147

name 名前Jo Yeong Uk
date 日付February 15, 2015 00:36:03 UTC 2015 年 2 月 15 日 (日) 9 時 36 分 3 秒 (日本時間)
composite number 合成数
474049455263002516488589727869072986088227554833624509587411388750361574178386022497991043972234913031374803752991988939611274730999568209802710887<147>
prime factors 素因数
15770136368645995166689820395919245548317971101909514121257752919<65>
30059946482485860032859114363280036572098735001869933192602274058375593587563356273<83>
factorization results 素因数分解の結果
Number: 77787_164
N=474049455263002516488589727869072986088227554833624509587411388750361574178386022497991043972234913031374803752991988939611274730999568209802710887
  ( 147 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=15770136368645995166689820395919245548317971101909514121257752919
 r2=30059946482485860032859114363280036572098735001869933192602274058375593587563356273
Version: 
Total time: 13.53 hours.
Scaled time: 70.96 units (timescale=5.243).
Factorization parameters were as follows:
n: 474049455263002516488589727869072986088227554833624509587411388750361574178386022497991043972234913031374803752991988939611274730999568209802710887
m: 1000000000000000000000000000000000
deg: 5
c5: 7
c0: 830
skew: 2.60
# Murphy_E = 3.27e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9730668
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 741714 x 741962
Total sieving time: 12.50 hours.
Total relation processing time: 0.45 hours.
Matrix solve time: 0.55 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 13.53 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.. 6800.06 BogoMIPS (lpj=3400031)
Total of 12 processors activated (81600.74 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:08:04 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 4 秒 (日本時間)

7×10165+839

c163

name 名前Cyp
date 日付February 16, 2015 11:29:02 UTC 2015 年 2 月 16 日 (月) 20 時 29 分 2 秒 (日本時間)
composite number 合成数
5595523581135091926458832933653077537969624300559552358113509192645883293365307753796962430055955235811350919264588329336530775379696243005595523581135091926458833<163>
prime factors 素因数
191031663961640658841582576152459624695179200901<48>
29291079107485963284291341072708907176439977342452354821778712696272154229476169945889268717258696735471148417639133<116>
factorization results 素因数分解の結果
02/16/15 08:22:00 v1.34.3, 
02/16/15 08:22:00 v1.34.3, ****************************
02/16/15 08:22:00 v1.34.3, Starting factorization of 5595523581135091926458832933653077537969624300559552358113509192645883293365307753796962430055955235811350919264588329336530775379696243005595523581135091926458833
02/16/15 08:22:00 v1.34.3, using pretesting plan: none
02/16/15 08:22:00 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
02/16/15 08:22:00 v1.34.3, ****************************
02/16/15 08:22:00 v1.34.3, nfs: commencing nfs on c163: 5595523581135091926458832933653077537969624300559552358113509192645883293365307753796962430055955235811350919264588329336530775379696243005595523581135091926458833
02/16/15 08:22:00 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
02/16/15 08:22:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/16/15 08:26:33 v1.34.3, nfs: commencing lattice sieving with 8 threads
[46 lines snipped]
02/16/15 12:04:58 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/16/15 12:09:40 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/16/15 12:14:26 v1.34.3, nfs: commencing msieve filtering
02/16/15 12:16:20 v1.34.3, nfs: commencing msieve linear algebra
02/16/15 12:27:17 v1.34.3, nfs: commencing msieve sqrt
02/16/15 12:28:56 v1.34.3, prp48 = 191031663961640658841582576152459624695179200901
02/16/15 12:28:56 v1.34.3, prp116 = 29291079107485963284291341072708907176439977342452354821778712696272154229476169945889268717258696735471148417639133
02/16/15 12:28:56 v1.34.3, NFS elapsed time = 14816.2837 seconds.
02/16/15 12:28:56 v1.34.3, 
02/16/15 12:28:56 v1.34.3, 
02/16/15 12:28:56 v1.34.3, Total factoring time = 14816.2849 seconds
--
Mon Feb 16 12:14:26 2015  
Mon Feb 16 12:14:26 2015  commencing relation filtering
Mon Feb 16 12:14:26 2015  estimated available RAM is 15987.3 MB
Mon Feb 16 12:14:26 2015  commencing duplicate removal, pass 1
Mon Feb 16 12:14:53 2015  found 1313678 hash collisions in 10118355 relations
Mon Feb 16 12:15:02 2015  added 366233 free relations
Mon Feb 16 12:15:02 2015  commencing duplicate removal, pass 2
Mon Feb 16 12:15:10 2015  found 847780 duplicates and 9636808 unique relations
Mon Feb 16 12:15:10 2015  memory use: 41.3 MB
Mon Feb 16 12:15:10 2015  reading ideals above 100000
Mon Feb 16 12:15:10 2015  commencing singleton removal, initial pass
Mon Feb 16 12:15:52 2015  memory use: 344.5 MB
Mon Feb 16 12:15:52 2015  reading all ideals from disk
Mon Feb 16 12:15:52 2015  memory use: 343.9 MB
Mon Feb 16 12:15:52 2015  keeping 10371098 ideals with weight <= 200, target excess is 50520
Mon Feb 16 12:15:53 2015  commencing in-memory singleton removal
Mon Feb 16 12:15:53 2015  begin with 9636808 relations and 10371098 unique ideals
Mon Feb 16 12:15:57 2015  reduce to 4233661 relations and 3800981 ideals in 16 passes
Mon Feb 16 12:15:57 2015  max relations containing the same ideal: 127
Mon Feb 16 12:15:58 2015  removing 932591 relations and 745553 ideals in 187038 cliques
Mon Feb 16 12:15:58 2015  commencing in-memory singleton removal
Mon Feb 16 12:15:58 2015  begin with 3301070 relations and 3800981 unique ideals
Mon Feb 16 12:16:00 2015  reduce to 3129571 relations and 2874154 ideals in 12 passes
Mon Feb 16 12:16:00 2015  max relations containing the same ideal: 105
Mon Feb 16 12:16:00 2015  removing 747110 relations and 560072 ideals in 187038 cliques
Mon Feb 16 12:16:01 2015  commencing in-memory singleton removal
Mon Feb 16 12:16:01 2015  begin with 2382461 relations and 2874154 unique ideals
Mon Feb 16 12:16:02 2015  reduce to 2237760 relations and 2160804 ideals in 10 passes
Mon Feb 16 12:16:02 2015  max relations containing the same ideal: 82
Mon Feb 16 12:16:02 2015  removing 123940 relations and 105588 ideals in 18352 cliques
Mon Feb 16 12:16:02 2015  commencing in-memory singleton removal
Mon Feb 16 12:16:02 2015  begin with 2113820 relations and 2160804 unique ideals
Mon Feb 16 12:16:03 2015  reduce to 2109309 relations and 2050675 ideals in 6 passes
Mon Feb 16 12:16:03 2015  max relations containing the same ideal: 81
Mon Feb 16 12:16:03 2015  relations with 0 large ideals: 1183
Mon Feb 16 12:16:03 2015  relations with 1 large ideals: 338
Mon Feb 16 12:16:03 2015  relations with 2 large ideals: 5833
Mon Feb 16 12:16:03 2015  relations with 3 large ideals: 45442
Mon Feb 16 12:16:03 2015  relations with 4 large ideals: 188528
Mon Feb 16 12:16:03 2015  relations with 5 large ideals: 441018
Mon Feb 16 12:16:03 2015  relations with 6 large ideals: 626184
Mon Feb 16 12:16:03 2015  relations with 7+ large ideals: 800783
Mon Feb 16 12:16:03 2015  commencing 2-way merge
Mon Feb 16 12:16:04 2015  reduce to 1260681 relation sets and 1202047 unique ideals
Mon Feb 16 12:16:04 2015  commencing full merge
Mon Feb 16 12:16:15 2015  memory use: 151.7 MB
Mon Feb 16 12:16:15 2015  found 645957 cycles, need 638247
Mon Feb 16 12:16:15 2015  weight of 638247 cycles is about 44812860 (70.21/cycle)
Mon Feb 16 12:16:15 2015  distribution of cycle lengths:
Mon Feb 16 12:16:15 2015  1 relations: 72752
Mon Feb 16 12:16:15 2015  2 relations: 68761
Mon Feb 16 12:16:15 2015  3 relations: 68716
Mon Feb 16 12:16:15 2015  4 relations: 64985
Mon Feb 16 12:16:15 2015  5 relations: 61688
Mon Feb 16 12:16:15 2015  6 relations: 55032
Mon Feb 16 12:16:15 2015  7 relations: 48955
Mon Feb 16 12:16:15 2015  8 relations: 42295
Mon Feb 16 12:16:15 2015  9 relations: 36100
Mon Feb 16 12:16:15 2015  10+ relations: 118963
Mon Feb 16 12:16:15 2015  heaviest cycle: 21 relations
Mon Feb 16 12:16:15 2015  commencing cycle optimization
Mon Feb 16 12:16:16 2015  start with 3790474 relations
Mon Feb 16 12:16:19 2015  pruned 91784 relations
Mon Feb 16 12:16:19 2015  memory use: 124.6 MB
Mon Feb 16 12:16:19 2015  distribution of cycle lengths:
Mon Feb 16 12:16:19 2015  1 relations: 72752
Mon Feb 16 12:16:19 2015  2 relations: 70113
Mon Feb 16 12:16:19 2015  3 relations: 71031
Mon Feb 16 12:16:19 2015  4 relations: 66415
Mon Feb 16 12:16:19 2015  5 relations: 63548
Mon Feb 16 12:16:19 2015  6 relations: 56198
Mon Feb 16 12:16:19 2015  7 relations: 49553
Mon Feb 16 12:16:19 2015  8 relations: 42670
Mon Feb 16 12:16:19 2015  9 relations: 35942
Mon Feb 16 12:16:19 2015  10+ relations: 110025
Mon Feb 16 12:16:19 2015  heaviest cycle: 21 relations
Mon Feb 16 12:16:20 2015  RelProcTime: 114
Mon Feb 16 12:16:20 2015  
Mon Feb 16 12:16:20 2015  commencing linear algebra
Mon Feb 16 12:16:20 2015  read 638247 cycles
Mon Feb 16 12:16:20 2015  cycles contain 2066326 unique relations
Mon Feb 16 12:16:31 2015  read 2066326 relations
Mon Feb 16 12:16:32 2015  using 20 quadratic characters above 134215752
Mon Feb 16 12:16:39 2015  building initial matrix
Mon Feb 16 12:16:49 2015  memory use: 248.4 MB
Mon Feb 16 12:16:49 2015  read 638247 cycles
Mon Feb 16 12:16:49 2015  matrix is 638070 x 638247 (190.9 MB) with weight 56401967 (88.37/col)
Mon Feb 16 12:16:49 2015  sparse part has weight 43013646 (67.39/col)
Mon Feb 16 12:16:52 2015  filtering completed in 2 passes
Mon Feb 16 12:16:52 2015  matrix is 637791 x 637968 (190.8 MB) with weight 56392478 (88.39/col)
Mon Feb 16 12:16:52 2015  sparse part has weight 43010107 (67.42/col)
Mon Feb 16 12:16:53 2015  matrix starts at (0, 0)
Mon Feb 16 12:16:53 2015  matrix is 637791 x 637968 (190.8 MB) with weight 56392478 (88.39/col)
Mon Feb 16 12:16:53 2015  sparse part has weight 43010107 (67.42/col)
Mon Feb 16 12:16:53 2015  saving the first 48 matrix rows for later
Mon Feb 16 12:16:53 2015  matrix includes 64 packed rows
Mon Feb 16 12:16:53 2015  matrix is 637743 x 637968 (179.2 MB) with weight 44538049 (69.81/col)
Mon Feb 16 12:16:53 2015  sparse part has weight 40608793 (63.65/col)
Mon Feb 16 12:16:53 2015  using block size 65536 for processor cache size 8192 kB
Mon Feb 16 12:16:55 2015  commencing Lanczos iteration (8 threads)
Mon Feb 16 12:16:55 2015  memory use: 174.4 MB
Mon Feb 16 12:16:58 2015  linear algebra at 0.5%, ETA 0h10m
Mon Feb 16 12:27:16 2015  lanczos halted after 10086 iterations (dim = 637741)
Mon Feb 16 12:27:17 2015  recovered 34 nontrivial dependencies
Mon Feb 16 12:27:17 2015  BLanczosTime: 657
Mon Feb 16 12:27:17 2015  
Mon Feb 16 12:27:17 2015  commencing square root phase
Mon Feb 16 12:27:17 2015  reading relations for dependency 1
Mon Feb 16 12:27:17 2015  read 318535 cycles
Mon Feb 16 12:27:17 2015  cycles contain 1031808 unique relations
Mon Feb 16 12:27:26 2015  read 1031808 relations
Mon Feb 16 12:27:28 2015  multiplying 1031808 relations
Mon Feb 16 12:27:45 2015  multiply complete, coefficients have about 25.53 million bits
Mon Feb 16 12:27:45 2015  initial square root is modulo 21451471
Mon Feb 16 12:28:06 2015  GCD is N, no factor found
Mon Feb 16 12:28:06 2015  reading relations for dependency 2
Mon Feb 16 12:28:06 2015  read 318887 cycles
Mon Feb 16 12:28:07 2015  cycles contain 1032542 unique relations
Mon Feb 16 12:28:15 2015  read 1032542 relations
Mon Feb 16 12:28:17 2015  multiplying 1032542 relations
Mon Feb 16 12:28:34 2015  multiply complete, coefficients have about 25.55 million bits
Mon Feb 16 12:28:34 2015  initial square root is modulo 21751841
Mon Feb 16 12:28:56 2015  sqrtTime: 99
--
n: 5595523581135091926458832933653077537969624300559552358113509192645883293365307753796962430055955235811350919264588329336530775379696243005595523581135091926458833
m: 1000000000000000000000000000000000
deg: 5
c5: 7
c0: 83
skew: 1.64
# Murphy_E = 3.545e-10
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovJanuary 9, 2015 00:08:04 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 4 秒 (日本時間)
2350Ignacio SantosFebruary 8, 2015 10:19:04 UTC 2015 年 2 月 8 日 (日) 19 時 19 分 4 秒 (日本時間)

7×10166+839

c165

name 名前Maksym Voznyy
date 日付February 8, 2015 16:41:53 UTC 2015 年 2 月 9 日 (月) 1 時 41 分 53 秒 (日本時間)
composite number 合成数
598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290599<165>
prime factors 素因数
6521665289178330095388093086486219807395830810511392778722742787660843<70>
91738930435968051469690010886911698690325390905597236479030758193618022911161350078106576965493<95>
factorization results 素因数分解の結果
Number: example8
N = 598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290599 (165 digits)
SNFS difficulty: 167 digits.
Divisors found:
r7=6521665289178330095388093086486219807395830810511392778722742787660843 (pp70)
r9=91738930435968051469690010886911698690325390905597236479030758193618022911161350078106576965493 (pp95)
Version: Msieve v. 1.51 (SVN 845)
Total time: 66.99 hours.
Factorization parameters were as follows:
n: 598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290599
m: 1000000000000000000000000000000000
deg: 5
c5: 70
c0: 83
skew: 1.03
# Murphy_E = 2.539e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 9738488
Relations: 1380694 relations
Pruned matrix : 826347 x 826574
Polynomial selection time: 0.00 hours.
Total sieving time: 60.02 hours.
Total relation processing time: 0.48 hours.
Matrix solve time: 5.74 hours.
time per square root: 0.74 hours.
Prototype def-par.txt line would be: snfs,167,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 66.99 hours.
x86 Family 6 Model 15 Stepping 6, GenuineIntel
Windows-XP-5.1.2600-SP3
processors: 4, speed: 2.66GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:08:05 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 5 秒 (日本時間)

7×10167+839

c160

name 名前Serge Batalov
date 日付January 9, 2015 02:00:09 UTC 2015 年 1 月 9 日 (金) 11 時 0 分 9 秒 (日本時間)
composite number 合成数
7675963036465791867863252806230653763197351783979890117273253614509561503045235469980410613361094879190704356127664818854016221217921149853999345064902405777307<160>
prime factors 素因数
8496830619295560197968435502161<31>
33574714021734435585446750839229<32>
composite cofactor 合成数の残り
26906895477828579940466416946040473052299789191779803838609948122645340972849740633512866126455303<98>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3243897360
Step 1 took 11631ms
********** Factor found in step 1: 33574714021734435585446750839229
Found probable prime factor of 32 digits: 33574714021734435585446750839229

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1714850020
Step 1 took 10920ms
********** Factor found in step 1: 8496830619295560197968435502161
Found probable prime factor of 31 digits: 8496830619295560197968435502161

c98

name 名前Cyp
date 日付January 9, 2015 21:46:04 UTC 2015 年 1 月 10 日 (土) 6 時 46 分 4 秒 (日本時間)
composite number 合成数
26906895477828579940466416946040473052299789191779803838609948122645340972849740633512866126455303<98>
prime factors 素因数
6352214370240254146075209566853689666525072077<46>
4235829257256458805458084256852074184145324814075939<52>
factorization results 素因数分解の結果
01/09/15 22:23:41 v1.34.3, 
01/09/15 22:23:41 v1.34.3, ****************************
01/09/15 22:23:41 v1.34.3, Starting factorization of 26906895477828579940466416946040473052299789191779803838609948122645340972849740633512866126455303
01/09/15 22:23:41 v1.34.3, using pretesting plan: none
01/09/15 22:23:41 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/09/15 22:23:41 v1.34.3, ****************************
01/09/15 22:23:41 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C98
01/09/15 22:23:41 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C98
01/09/15 22:23:41 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C98
01/09/15 22:23:41 v1.34.3, final ECM pretested depth: 0.00
01/09/15 22:23:41 v1.34.3, scheduler: switching to sieve method
01/09/15 22:23:41 v1.34.3, nfs: commencing nfs on c98: 26906895477828579940466416946040473052299789191779803838609948122645340972849740633512866126455303
01/09/15 22:23:41 v1.34.3, nfs: commencing poly selection with 8 threads
01/09/15 22:23:41 v1.34.3, nfs: setting deadline of 128 seconds
01/09/15 22:26:01 v1.34.3, nfs: completed 189 ranges of size 250 in 139.9632 seconds
01/09/15 22:26:01 v1.34.3, nfs: best poly = # norm 1.956393e-13 alpha -4.898803 e 1.468e-08 rroots 4
01/09/15 22:26:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 22:27:31 v1.34.3, nfs: commencing lattice sieving with 8 threads
[8 lines snipped]
01/09/15 22:40:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 22:42:06 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 22:43:30 v1.34.3, nfs: commencing msieve filtering
01/09/15 22:44:19 v1.34.3, nfs: commencing msieve linear algebra
01/09/15 22:45:42 v1.34.3, nfs: commencing msieve sqrt
01/09/15 22:46:03 v1.34.3, prp46 = 6352214370240254146075209566853689666525072077
01/09/15 22:46:03 v1.34.3, prp52 = 4235829257256458805458084256852074184145324814075939
01/09/15 22:46:03 v1.34.3, NFS elapsed time = 1342.1381 seconds.
01/09/15 22:46:03 v1.34.3, 
01/09/15 22:46:03 v1.34.3, 
01/09/15 22:46:03 v1.34.3, Total factoring time = 1342.1609 seconds
--
Fri Jan  9 22:43:30 2015  
Fri Jan  9 22:43:30 2015  commencing relation filtering
Fri Jan  9 22:43:30 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 22:43:30 2015  commencing duplicate removal, pass 1
Fri Jan  9 22:43:44 2015  found 427176 hash collisions in 4766455 relations
Fri Jan  9 22:43:48 2015  added 155533 free relations
Fri Jan  9 22:43:48 2015  commencing duplicate removal, pass 2
Fri Jan  9 22:43:52 2015  found 158813 duplicates and 4763175 unique relations
Fri Jan  9 22:43:52 2015  memory use: 20.6 MB
Fri Jan  9 22:43:52 2015  reading ideals above 100000
Fri Jan  9 22:43:52 2015  commencing singleton removal, initial pass
Fri Jan  9 22:44:11 2015  memory use: 172.2 MB
Fri Jan  9 22:44:11 2015  reading all ideals from disk
Fri Jan  9 22:44:11 2015  memory use: 145.8 MB
Fri Jan  9 22:44:11 2015  keeping 5302958 ideals with weight <= 200, target excess is 40007
Fri Jan  9 22:44:11 2015  commencing in-memory singleton removal
Fri Jan  9 22:44:12 2015  begin with 4763175 relations and 5302958 unique ideals
Fri Jan  9 22:44:13 2015  reduce to 1613115 relations and 1459275 ideals in 17 passes
Fri Jan  9 22:44:13 2015  max relations containing the same ideal: 99
Fri Jan  9 22:44:13 2015  removing 362767 relations and 309051 ideals in 53716 cliques
Fri Jan  9 22:44:13 2015  commencing in-memory singleton removal
Fri Jan  9 22:44:13 2015  begin with 1250348 relations and 1459275 unique ideals
Fri Jan  9 22:44:14 2015  reduce to 1180919 relations and 1077485 ideals in 12 passes
Fri Jan  9 22:44:14 2015  max relations containing the same ideal: 84
Fri Jan  9 22:44:14 2015  removing 271182 relations and 217466 ideals in 53716 cliques
Fri Jan  9 22:44:14 2015  commencing in-memory singleton removal
Fri Jan  9 22:44:14 2015  begin with 909737 relations and 1077485 unique ideals
Fri Jan  9 22:44:14 2015  reduce to 855238 relations and 802948 ideals in 11 passes
Fri Jan  9 22:44:14 2015  max relations containing the same ideal: 68
Fri Jan  9 22:44:14 2015  relations with 0 large ideals: 755
Fri Jan  9 22:44:14 2015  relations with 1 large ideals: 6414
Fri Jan  9 22:44:14 2015  relations with 2 large ideals: 37590
Fri Jan  9 22:44:14 2015  relations with 3 large ideals: 130671
Fri Jan  9 22:44:14 2015  relations with 4 large ideals: 243794
Fri Jan  9 22:44:14 2015  relations with 5 large ideals: 254844
Fri Jan  9 22:44:14 2015  relations with 6 large ideals: 136403
Fri Jan  9 22:44:14 2015  relations with 7+ large ideals: 44767
Fri Jan  9 22:44:14 2015  commencing 2-way merge
Fri Jan  9 22:44:14 2015  reduce to 477500 relation sets and 425210 unique ideals
Fri Jan  9 22:44:14 2015  commencing full merge
Fri Jan  9 22:44:18 2015  memory use: 43.2 MB
Fri Jan  9 22:44:18 2015  found 221831 cycles, need 211410
Fri Jan  9 22:44:18 2015  weight of 211410 cycles is about 14929157 (70.62/cycle)
Fri Jan  9 22:44:18 2015  distribution of cycle lengths:
Fri Jan  9 22:44:18 2015  1 relations: 20165
Fri Jan  9 22:44:18 2015  2 relations: 20474
Fri Jan  9 22:44:18 2015  3 relations: 20565
Fri Jan  9 22:44:18 2015  4 relations: 19259
Fri Jan  9 22:44:18 2015  5 relations: 17990
Fri Jan  9 22:44:18 2015  6 relations: 16645
Fri Jan  9 22:44:18 2015  7 relations: 15130
Fri Jan  9 22:44:18 2015  8 relations: 13677
Fri Jan  9 22:44:18 2015  9 relations: 12084
Fri Jan  9 22:44:18 2015  10+ relations: 55421
Fri Jan  9 22:44:18 2015  heaviest cycle: 22 relations
Fri Jan  9 22:44:18 2015  commencing cycle optimization
Fri Jan  9 22:44:18 2015  start with 1429591 relations
Fri Jan  9 22:44:19 2015  pruned 35213 relations
Fri Jan  9 22:44:19 2015  memory use: 46.6 MB
Fri Jan  9 22:44:19 2015  distribution of cycle lengths:
Fri Jan  9 22:44:19 2015  1 relations: 20165
Fri Jan  9 22:44:19 2015  2 relations: 20923
Fri Jan  9 22:44:19 2015  3 relations: 21313
Fri Jan  9 22:44:19 2015  4 relations: 19693
Fri Jan  9 22:44:19 2015  5 relations: 18498
Fri Jan  9 22:44:19 2015  6 relations: 16928
Fri Jan  9 22:44:19 2015  7 relations: 15526
Fri Jan  9 22:44:19 2015  8 relations: 13864
Fri Jan  9 22:44:19 2015  9 relations: 12201
Fri Jan  9 22:44:19 2015  10+ relations: 52299
Fri Jan  9 22:44:19 2015  heaviest cycle: 21 relations
Fri Jan  9 22:44:19 2015  RelProcTime: 49
Fri Jan  9 22:44:19 2015  
Fri Jan  9 22:44:19 2015  commencing linear algebra
Fri Jan  9 22:44:19 2015  read 211410 cycles
Fri Jan  9 22:44:20 2015  cycles contain 771006 unique relations
Fri Jan  9 22:44:24 2015  read 771006 relations
Fri Jan  9 22:44:25 2015  using 20 quadratic characters above 67101920
Fri Jan  9 22:44:27 2015  building initial matrix
Fri Jan  9 22:44:31 2015  memory use: 93.3 MB
Fri Jan  9 22:44:31 2015  read 211410 cycles
Fri Jan  9 22:44:31 2015  matrix is 211218 x 211410 (63.3 MB) with weight 20075097 (94.96/col)
Fri Jan  9 22:44:31 2015  sparse part has weight 14263834 (67.47/col)
Fri Jan  9 22:44:32 2015  filtering completed in 2 passes
Fri Jan  9 22:44:32 2015  matrix is 210114 x 210306 (63.1 MB) with weight 20017032 (95.18/col)
Fri Jan  9 22:44:32 2015  sparse part has weight 14238087 (67.70/col)
Fri Jan  9 22:44:32 2015  matrix starts at (0, 0)
Fri Jan  9 22:44:32 2015  matrix is 210114 x 210306 (63.1 MB) with weight 20017032 (95.18/col)
Fri Jan  9 22:44:32 2015  sparse part has weight 14238087 (67.70/col)
Fri Jan  9 22:44:32 2015  saving the first 48 matrix rows for later
Fri Jan  9 22:44:32 2015  matrix includes 64 packed rows
Fri Jan  9 22:44:32 2015  matrix is 210066 x 210306 (60.7 MB) with weight 15854062 (75.39/col)
Fri Jan  9 22:44:32 2015  sparse part has weight 13803191 (65.63/col)
Fri Jan  9 22:44:32 2015  using block size 65536 for processor cache size 8192 kB
Fri Jan  9 22:44:32 2015  commencing Lanczos iteration (8 threads)
Fri Jan  9 22:44:32 2015  memory use: 56.8 MB
Fri Jan  9 22:44:36 2015  linear algebra at 5.8%, ETA 0h 1m
Fri Jan  9 22:45:42 2015  lanczos halted after 3324 iterations (dim = 210066)
Fri Jan  9 22:45:42 2015  recovered 33 nontrivial dependencies
Fri Jan  9 22:45:42 2015  BLanczosTime: 83
Fri Jan  9 22:45:42 2015  
Fri Jan  9 22:45:42 2015  commencing square root phase
Fri Jan  9 22:45:42 2015  reading relations for dependency 1
Fri Jan  9 22:45:42 2015  read 105140 cycles
Fri Jan  9 22:45:42 2015  cycles contain 385678 unique relations
Fri Jan  9 22:45:46 2015  read 385678 relations
Fri Jan  9 22:45:47 2015  multiplying 385678 relations
Fri Jan  9 22:45:53 2015  multiply complete, coefficients have about 17.03 million bits
Fri Jan  9 22:45:53 2015  initial square root is modulo 78347
Fri Jan  9 22:46:03 2015  sqrtTime: 21
--
n: 26906895477828579940466416946040473052299789191779803838609948122645340972849740633512866126455303
skew: 390453.04
c0: 166698793936110067434551420
c1: 326363001690896581095
c2: -14755773162366764
c3: -5399605362
c4: 36540
Y0: -164730497350459562831523
Y1: 2540800855837
rlim: 1680000
alim: 1680000
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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:08:05 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 5 秒 (日本時間)

7×10168+839

c120

name 名前Jo Yeong Uk
date 日付March 15, 2015 08:05:50 UTC 2015 年 3 月 15 日 (日) 17 時 5 分 50 秒 (日本時間)
composite number 合成数
238507752440647176304345493172019303419373364173357831213816149623633987758605996692018039941295753755856788012459645301<120>
prime factors 素因数
718925426668226784264684355108409797621689346718971<51>
331755900672455834991091685983837784647986315604008241864284815153231<69>
factorization results 素因数分解の結果
Number: 77787_168
N=238507752440647176304345493172019303419373364173357831213816149623633987758605996692018039941295753755856788012459645301
  ( 120 digits)
Divisors found:
 r1=718925426668226784264684355108409797621689346718971
 r2=331755900672455834991091685983837784647986315604008241864284815153231
Version: 
Total time: 17.49 hours.
Scaled time: 90.19 units (timescale=5.156).
Factorization parameters were as follows:
name: 77787_168
n: 238507752440647176304345493172019303419373364173357831213816149623633987758605996692018039941295753755856788012459645301
skew: 47751.78
# norm 1.19e+16
c5: 47460
c4: -6942814152
c3: 19505737120433
c2: 19437699612563989323
c1: 202143833853696072711435
c0: -3856093765834197114697075875
# alpha -5.35
Y1: 6958321283029
Y0: -87143694435263647871068
# Murphy_E 3.21e-10
# M 47290472805068277923561180638239377870919366027642986183032735247692393028013630767162227963152733606560427600696406317
type: gnfs
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2400000, 4200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10789362
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 702498 x 702746
Polynomial selection time: 2.63 hours.
Total sieving time: 13.84 hours.
Total relation processing time: 0.47 hours.
Matrix solve time: 0.47 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
gnfs,119,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4800000,4800000,27,27,54,54,2.5,2.5,100000
total time: 17.49 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.. 6799.94 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
351e6418118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 13, 2015 14:29:07 UTC 2015 年 1 月 13 日 (火) 23 時 29 分 7 秒 (日本時間)
403e6110Ignacio SantosJanuary 13, 2015 14:29:07 UTC 2015 年 1 月 13 日 (火) 23 時 29 分 7 秒 (日本時間)
4511e61796 / 438432Ignacio SantosJanuary 13, 2015 14:29:07 UTC 2015 年 1 月 13 日 (火) 23 時 29 分 7 秒 (日本時間)
710Pierre JammesJanuary 26, 2015 06:44:40 UTC 2015 年 1 月 26 日 (月) 15 時 44 分 40 秒 (日本時間)
1054Andreas TeteFebruary 6, 2015 22:35:33 UTC 2015 年 2 月 7 日 (土) 7 時 35 分 33 秒 (日本時間)
5043e615 / 7144Andreas TeteFebruary 6, 2015 22:35:55 UTC 2015 年 2 月 7 日 (土) 7 時 35 分 55 秒 (日本時間)

7×10169+839

c146

name 名前Jo Yeong Uk
date 日付April 4, 2015 14:21:03 UTC 2015 年 4 月 4 日 (土) 23 時 21 分 3 秒 (日本時間)
composite number 合成数
39135668591607667826479015830337906553952537174927997931474468166586700907689036717878520236923889557965236094686413192238267260722466543114591407<146>
prime factors 素因数
6090885974209614237636850526404330625317036472159<49>
6425283408246059039301728608541376611886380374869107929051767703729071871709090286950749440388273<97>
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 39135668591607667826479015830337906553952537174927997931474468166586700907689036717878520236923889557965236094686413192238267260722466543114591407 (146 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=8497752763
Step 1 took 24487ms
Step 2 took 8850ms
********** Factor found in step 2: 6090885974209614237636850526404330625317036472159
Found probable prime factor of 49 digits: 6090885974209614237636850526404330625317036472159
Probable prime cofactor 6425283408246059039301728608541376611886380374869107929051767703729071871709090286950749440388273 has 97 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovJanuary 9, 2015 00:08:06 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 6 秒 (日本時間)
2350Ignacio SantosFebruary 14, 2015 10:06:40 UTC 2015 年 2 月 14 日 (土) 19 時 6 分 40 秒 (日本時間)

7×10172+839

c137

name 名前Jo Yeong Uk
date 日付April 30, 2015 11:54:22 UTC 2015 年 4 月 30 日 (木) 20 時 54 分 22 秒 (日本時間)
composite number 合成数
44417969464611111488342024178260226159006676061109148256593177374049105595347534395227481094967978590756078651715678131268793875577904117<137>
prime factors 素因数
84782553185140769786088148104610976082639508601143966721770072261<65>
523904598244582359708710359316273534054661788896756427530220308706326897<72>
factorization results 素因数分解の結果
Number: 77787_172
N=44417969464611111488342024178260226159006676061109148256593177374049105595347534395227481094967978590756078651715678131268793875577904117
  ( 137 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=84782553185140769786088148104610976082639508601143966721770072261
 r2=523904598244582359708710359316273534054661788896756427530220308706326897
Version: 
Total time: 30.71 hours.
Scaled time: 160.82 units (timescale=5.236).
Factorization parameters were as follows:
n: 44417969464611111488342024178260226159006676061109148256593177374049105595347534395227481094967978590756078651715678131268793875577904117
m: 10000000000000000000000000000000000
deg: 5
c5: 700
c0: 83
skew: 0.65
# Murphy_E = 1.488e-10
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [3200000, 7000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 16437920
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1127791 x 1128039
Total sieving time: 27.49 hours.
Total relation processing time: 1.52 hours.
Matrix solve time: 1.38 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,52,52,2.4,2.4,100000
total time: 30.71 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.. 6800.00 BogoMIPS (lpj=3400000)
Total of 12 processors activated (81600.00 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:08:07 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 7 秒 (日本時間)
1CypJanuary 9, 2015 00:58:43 UTC 2015 年 1 月 9 日 (金) 9 時 58 分 43 秒 (日本時間)
4511e6750 / 3707Pierre JammesFebruary 7, 2015 09:57:21 UTC 2015 年 2 月 7 日 (土) 18 時 57 分 21 秒 (日本時間)
5043e6200 / 7373Pierre JammesMarch 22, 2015 13:25:52 UTC 2015 年 3 月 22 日 (日) 22 時 25 分 52 秒 (日本時間)

7×10174+839

c167

name 名前Cyp
date 日付April 22, 2015 22:19:30 UTC 2015 年 4 月 23 日 (木) 7 時 19 分 30 秒 (日本時間)
composite number 合成数
19850467393291891285693873357131718397424239649043963349083856833404155547321014524606842139070145633492829286635483113713575445117026488007128858654018130333648669351<167>
prime factors 素因数
2686311432087107889925787465362270890385351070562021384165013<61>
7389488484538530056843691029749673663271969776851654765037165196398675114098036328189971778332855800478027<106>
factorization results 素因数分解の結果
04/22/15 07:39:05 v1.34.3, 
04/22/15 07:39:05 v1.34.3, ****************************
04/22/15 07:39:05 v1.34.3, Starting factorization of 19850467393291891285693873357131718397424239649043963349083856833404155547321014524606842139070145633492829286635483113713575445117026488007128858654018130333648669351
04/22/15 07:39:05 v1.34.3, using pretesting plan: none
04/22/15 07:39:05 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
04/22/15 07:39:05 v1.34.3, ****************************
04/22/15 07:39:05 v1.34.3, nfs: commencing nfs on c167: 19850467393291891285693873357131718397424239649043963349083856833404155547321014524606842139070145633492829286635483113713575445117026488007128858654018130333648669351
04/22/15 07:39:05 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
04/22/15 07:39:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/22/15 07:44:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
[133 lines snipped]
04/22/15 19:36:47 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/22/15 19:42:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/22/15 19:47:34 v1.34.3, nfs: commencing msieve filtering
04/22/15 19:51:37 v1.34.3, nfs: commencing msieve linear algebra
04/22/15 22:13:23 v1.34.3, 
04/22/15 22:13:23 v1.34.3, ****************************
04/22/15 22:13:23 v1.34.3, Starting factorization of 19850467393291891285693873357131718397424239649043963349083856833404155547321014524606842139070145633492829286635483113713575445117026488007128858654018130333648669351
04/22/15 22:13:23 v1.34.3, using pretesting plan: none
04/22/15 22:13:23 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
04/22/15 22:13:23 v1.34.3, ****************************
04/22/15 22:13:23 v1.34.3, nfs: commencing nfs on c167: 19850467393291891285693873357131718397424239649043963349083856833404155547321014524606842139070145633492829286635483113713575445117026488007128858654018130333648669351
04/22/15 22:13:23 v1.34.3, nfs: resuming with sieving at user specified special-q 8429959
04/22/15 22:13:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/22/15 22:40:18 v1.34.3, c167 cofactor = 19850467393291891285693873357131718397424239649043963349083856833404155547321014524606842139070145633492829286635483113713575445117026488007128858654018130333648669351
04/22/15 22:40:18 v1.34.3, Total factoring time = 1614.7080 seconds
04/22/15 23:52:30 v1.34.3, 
04/22/15 23:52:30 v1.34.3, ****************************
04/22/15 23:52:30 v1.34.3, Starting factorization of 19850467393291891285693873357131718397424239649043963349083856833404155547321014524606842139070145633492829286635483113713575445117026488007128858654018130333648669351
04/22/15 23:52:30 v1.34.3, using pretesting plan: none
04/22/15 23:52:30 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
04/22/15 23:52:30 v1.34.3, ****************************
04/22/15 23:52:30 v1.34.3, nfs: previous data file found - commencing search for last special-q
04/22/15 23:52:46 v1.34.3, nfs: parsing special-q from .dat file
04/22/15 23:52:46 v1.34.3, nfs: commencing nfs on c167: 19850467393291891285693873357131718397424239649043963349083856833404155547321014524606842139070145633492829286635483113713575445117026488007128858654018130333648669351
04/22/15 23:52:46 v1.34.3, nfs: resuming with filtering
04/22/15 23:52:46 v1.34.3, nfs: commencing msieve filtering
04/22/15 23:56:56 v1.34.3, nfs: commencing msieve linear algebra
04/23/15 00:15:30 v1.34.3, nfs: commencing msieve sqrt
04/23/15 00:19:24 v1.34.3, prp61 = 2686311432087107889925787465362270890385351070562021384165013
04/23/15 00:19:24 v1.34.3, prp106 = 7389488484538530056843691029749673663271969776851654765037165196398675114098036328189971778332855800478027
04/23/15 00:19:24 v1.34.3, NFS elapsed time = 1614.1305 seconds.
04/23/15 00:19:24 v1.34.3, 
04/23/15 00:19:24 v1.34.3, 
04/23/15 00:19:24 v1.34.3, Total factoring time = 1614.1316 seconds
--
Wed Apr 22 19:47:34 2015  
Wed Apr 22 19:47:34 2015  commencing relation filtering
Wed Apr 22 19:47:34 2015  estimated available RAM is 15987.3 MB
Wed Apr 22 19:47:34 2015  commencing duplicate removal, pass 1
Wed Apr 22 19:48:38 2015  found 3436685 hash collisions in 21093537 relations
Wed Apr 22 19:48:55 2015  added 693571 free relations
Wed Apr 22 19:48:55 2015  commencing duplicate removal, pass 2
Wed Apr 22 19:49:15 2015  found 2683037 duplicates and 19104071 unique relations
Wed Apr 22 19:49:15 2015  memory use: 90.6 MB
Wed Apr 22 19:49:15 2015  reading ideals above 720000
Wed Apr 22 19:49:15 2015  commencing singleton removal, initial pass
Wed Apr 22 19:50:42 2015  memory use: 376.5 MB
Wed Apr 22 19:50:42 2015  reading all ideals from disk
Wed Apr 22 19:50:42 2015  memory use: 573.6 MB
Wed Apr 22 19:50:43 2015  keeping 19058272 ideals with weight <= 200, target excess is 116166
Wed Apr 22 19:50:44 2015  commencing in-memory singleton removal
Wed Apr 22 19:50:45 2015  begin with 19104071 relations and 19058272 unique ideals
Wed Apr 22 19:50:51 2015  reduce to 9694278 relations and 7587309 ideals in 12 passes
Wed Apr 22 19:50:51 2015  max relations containing the same ideal: 122
Wed Apr 22 19:50:54 2015  removing 1548666 relations and 1148666 ideals in 400000 cliques
Wed Apr 22 19:50:55 2015  commencing in-memory singleton removal
Wed Apr 22 19:50:55 2015  begin with 8145612 relations and 7587309 unique ideals
Wed Apr 22 19:50:58 2015  reduce to 7958560 relations and 6242178 ideals in 7 passes
Wed Apr 22 19:50:58 2015  max relations containing the same ideal: 112
Wed Apr 22 19:51:00 2015  removing 1264342 relations and 864342 ideals in 400000 cliques
Wed Apr 22 19:51:00 2015  commencing in-memory singleton removal
Wed Apr 22 19:51:01 2015  begin with 6694218 relations and 6242178 unique ideals
Wed Apr 22 19:51:03 2015  reduce to 6558634 relations and 5235814 ideals in 9 passes
Wed Apr 22 19:51:03 2015  max relations containing the same ideal: 99
Wed Apr 22 19:51:05 2015  removing 1191054 relations and 791054 ideals in 400000 cliques
Wed Apr 22 19:51:06 2015  commencing in-memory singleton removal
Wed Apr 22 19:51:06 2015  begin with 5367580 relations and 5235814 unique ideals
Wed Apr 22 19:51:08 2015  reduce to 5233060 relations and 4302803 ideals in 7 passes
Wed Apr 22 19:51:08 2015  max relations containing the same ideal: 82
Wed Apr 22 19:51:10 2015  removing 1157797 relations and 757797 ideals in 400000 cliques
Wed Apr 22 19:51:10 2015  commencing in-memory singleton removal
Wed Apr 22 19:51:10 2015  begin with 4075263 relations and 4302803 unique ideals
Wed Apr 22 19:51:12 2015  reduce to 3923953 relations and 3383579 ideals in 8 passes
Wed Apr 22 19:51:12 2015  max relations containing the same ideal: 65
Wed Apr 22 19:51:13 2015  removing 1137001 relations and 737001 ideals in 400000 cliques
Wed Apr 22 19:51:13 2015  commencing in-memory singleton removal
Wed Apr 22 19:51:13 2015  begin with 2786952 relations and 3383579 unique ideals
Wed Apr 22 19:51:14 2015  reduce to 2602992 relations and 2445869 ideals in 8 passes
Wed Apr 22 19:51:14 2015  max relations containing the same ideal: 50
Wed Apr 22 19:51:15 2015  removing 114165 relations and 91795 ideals in 22370 cliques
Wed Apr 22 19:51:15 2015  commencing in-memory singleton removal
Wed Apr 22 19:51:15 2015  begin with 2488827 relations and 2445869 unique ideals
Wed Apr 22 19:51:16 2015  reduce to 2485074 relations and 2350290 ideals in 5 passes
Wed Apr 22 19:51:16 2015  max relations containing the same ideal: 49
Wed Apr 22 19:51:16 2015  relations with 0 large ideals: 2888
Wed Apr 22 19:51:16 2015  relations with 1 large ideals: 2385
Wed Apr 22 19:51:16 2015  relations with 2 large ideals: 32512
Wed Apr 22 19:51:16 2015  relations with 3 large ideals: 173434
Wed Apr 22 19:51:16 2015  relations with 4 large ideals: 466090
Wed Apr 22 19:51:16 2015  relations with 5 large ideals: 702236
Wed Apr 22 19:51:16 2015  relations with 6 large ideals: 646905
Wed Apr 22 19:51:16 2015  relations with 7+ large ideals: 458624
Wed Apr 22 19:51:16 2015  commencing 2-way merge
Wed Apr 22 19:51:17 2015  reduce to 1593976 relation sets and 1459192 unique ideals
Wed Apr 22 19:51:17 2015  commencing full merge
Wed Apr 22 19:51:31 2015  memory use: 183.7 MB
Wed Apr 22 19:51:31 2015  found 843707 cycles, need 825392
Wed Apr 22 19:51:31 2015  weight of 825392 cycles is about 58039305 (70.32/cycle)
Wed Apr 22 19:51:31 2015  distribution of cycle lengths:
Wed Apr 22 19:51:31 2015  1 relations: 64755
Wed Apr 22 19:51:31 2015  2 relations: 82893
Wed Apr 22 19:51:31 2015  3 relations: 93906
Wed Apr 22 19:51:31 2015  4 relations: 95165
Wed Apr 22 19:51:31 2015  5 relations: 92809
Wed Apr 22 19:51:31 2015  6 relations: 84912
Wed Apr 22 19:51:31 2015  7 relations: 73941
Wed Apr 22 19:51:31 2015  8 relations: 61414
Wed Apr 22 19:51:31 2015  9 relations: 49242
Wed Apr 22 19:51:31 2015  10+ relations: 126355
Wed Apr 22 19:51:31 2015  heaviest cycle: 18 relations
Wed Apr 22 19:51:31 2015  commencing cycle optimization
Wed Apr 22 19:51:32 2015  start with 4796039 relations
Wed Apr 22 19:51:36 2015  pruned 149049 relations
Wed Apr 22 19:51:36 2015  memory use: 151.5 MB
Wed Apr 22 19:51:36 2015  distribution of cycle lengths:
Wed Apr 22 19:51:36 2015  1 relations: 64755
Wed Apr 22 19:51:36 2015  2 relations: 84738
Wed Apr 22 19:51:36 2015  3 relations: 97549
Wed Apr 22 19:51:36 2015  4 relations: 98654
Wed Apr 22 19:51:36 2015  5 relations: 96780
Wed Apr 22 19:51:36 2015  6 relations: 87602
Wed Apr 22 19:51:36 2015  7 relations: 75900
Wed Apr 22 19:51:36 2015  8 relations: 61596
Wed Apr 22 19:51:36 2015  9 relations: 48746
Wed Apr 22 19:51:36 2015  10+ relations: 109072
Wed Apr 22 19:51:36 2015  heaviest cycle: 18 relations
Wed Apr 22 19:51:37 2015  RelProcTime: 243
Wed Apr 22 19:51:37 2015  
Wed Apr 22 19:51:37 2015  commencing linear algebra
Wed Apr 22 19:51:37 2015  read 825392 cycles
Wed Apr 22 19:51:38 2015  cycles contain 2415141 unique relations
Wed Apr 22 19:51:58 2015  read 2415141 relations
Wed Apr 22 19:52:00 2015  using 20 quadratic characters above 268432580
Wed Apr 22 19:52:08 2015  building initial matrix
Wed Apr 22 19:52:23 2015  memory use: 306.6 MB
Wed Apr 22 19:52:23 2015  read 825392 cycles
Wed Apr 22 19:52:23 2015  matrix is 826227 x 825392 (246.4 MB) with weight 73926042 (89.56/col)
Wed Apr 22 19:52:23 2015  sparse part has weight 55507856 (67.25/col)
Wed Apr 22 19:52:28 2015  filtering completed in 2 passes
Wed Apr 22 19:52:28 2015  matrix is 825260 x 825024 (246.3 MB) with weight 73902619 (89.58/col)
Wed Apr 22 19:52:28 2015  sparse part has weight 55492652 (67.26/col)
Wed Apr 22 19:52:30 2015  matrix starts at (0, 0)
Wed Apr 22 19:52:30 2015  matrix is 825260 x 825024 (246.3 MB) with weight 73902619 (89.58/col)
Wed Apr 22 19:52:30 2015  sparse part has weight 55492652 (67.26/col)
Wed Apr 22 19:52:30 2015  matrix needs more columns than rows; try adding 2-3% more relations
Wed Apr 22 23:52:46 2015  
Wed Apr 22 23:52:46 2015  commencing relation filtering
Wed Apr 22 23:52:46 2015  estimated available RAM is 15987.3 MB
Wed Apr 22 23:52:46 2015  commencing duplicate removal, pass 1
Wed Apr 22 23:54:01 2015  found 3692921 hash collisions in 22466232 relations
Wed Apr 22 23:54:18 2015  added 2476 free relations
Wed Apr 22 23:54:19 2015  commencing duplicate removal, pass 2
Wed Apr 22 23:54:38 2015  found 2831513 duplicates and 19637195 unique relations
Wed Apr 22 23:54:38 2015  memory use: 90.6 MB
Wed Apr 22 23:54:38 2015  reading ideals above 720000
Wed Apr 22 23:54:38 2015  commencing singleton removal, initial pass
Wed Apr 22 23:56:03 2015  memory use: 376.5 MB
Wed Apr 22 23:56:03 2015  reading all ideals from disk
Wed Apr 22 23:56:03 2015  memory use: 589.7 MB
Wed Apr 22 23:56:04 2015  keeping 19259502 ideals with weight <= 200, target excess is 116350
Wed Apr 22 23:56:05 2015  commencing in-memory singleton removal
Wed Apr 22 23:56:05 2015  begin with 19637195 relations and 19259502 unique ideals
Wed Apr 22 23:56:12 2015  reduce to 10266842 relations and 7883988 ideals in 11 passes
Wed Apr 22 23:56:12 2015  max relations containing the same ideal: 129
Wed Apr 22 23:56:14 2015  removing 1519097 relations and 1119097 ideals in 400000 cliques
Wed Apr 22 23:56:15 2015  commencing in-memory singleton removal
Wed Apr 22 23:56:15 2015  begin with 8747745 relations and 7883988 unique ideals
Wed Apr 22 23:56:18 2015  reduce to 8577206 relations and 6586131 ideals in 8 passes
Wed Apr 22 23:56:18 2015  max relations containing the same ideal: 115
Wed Apr 22 23:56:20 2015  removing 1239181 relations and 839181 ideals in 400000 cliques
Wed Apr 22 23:56:21 2015  commencing in-memory singleton removal
Wed Apr 22 23:56:21 2015  begin with 7338025 relations and 6586131 unique ideals
Wed Apr 22 23:56:23 2015  reduce to 7217415 relations and 5620921 ideals in 7 passes
Wed Apr 22 23:56:23 2015  max relations containing the same ideal: 103
Wed Apr 22 23:56:25 2015  removing 1168036 relations and 768036 ideals in 400000 cliques
Wed Apr 22 23:56:25 2015  commencing in-memory singleton removal
Wed Apr 22 23:56:26 2015  begin with 6049379 relations and 5620921 unique ideals
Wed Apr 22 23:56:27 2015  reduce to 5932913 relations and 4730617 ideals in 7 passes
Wed Apr 22 23:56:27 2015  max relations containing the same ideal: 89
Wed Apr 22 23:56:29 2015  removing 1136944 relations and 736944 ideals in 400000 cliques
Wed Apr 22 23:56:29 2015  commencing in-memory singleton removal
Wed Apr 22 23:56:29 2015  begin with 4795969 relations and 4730617 unique ideals
Wed Apr 22 23:56:31 2015  reduce to 4671403 relations and 3861852 ideals in 7 passes
Wed Apr 22 23:56:31 2015  max relations containing the same ideal: 76
Wed Apr 22 23:56:32 2015  removing 1117731 relations and 717731 ideals in 400000 cliques
Wed Apr 22 23:56:32 2015  commencing in-memory singleton removal
Wed Apr 22 23:56:32 2015  begin with 3553672 relations and 3861852 unique ideals
Wed Apr 22 23:56:33 2015  reduce to 3406893 relations and 2986565 ideals in 8 passes
Wed Apr 22 23:56:33 2015  max relations containing the same ideal: 65
Wed Apr 22 23:56:34 2015  removing 831102 relations and 545741 ideals in 285361 cliques
Wed Apr 22 23:56:34 2015  commencing in-memory singleton removal
Wed Apr 22 23:56:34 2015  begin with 2575791 relations and 2986565 unique ideals
Wed Apr 22 23:56:35 2015  reduce to 2457127 relations and 2313538 ideals in 8 passes
Wed Apr 22 23:56:35 2015  max relations containing the same ideal: 50
Wed Apr 22 23:56:36 2015  removing 47829 relations and 39207 ideals in 8622 cliques
Wed Apr 22 23:56:36 2015  commencing in-memory singleton removal
Wed Apr 22 23:56:36 2015  begin with 2409298 relations and 2313538 unique ideals
Wed Apr 22 23:56:36 2015  reduce to 2408633 relations and 2273662 ideals in 5 passes
Wed Apr 22 23:56:36 2015  max relations containing the same ideal: 50
Wed Apr 22 23:56:37 2015  relations with 0 large ideals: 2888
Wed Apr 22 23:56:37 2015  relations with 1 large ideals: 2445
Wed Apr 22 23:56:37 2015  relations with 2 large ideals: 33369
Wed Apr 22 23:56:37 2015  relations with 3 large ideals: 175254
Wed Apr 22 23:56:37 2015  relations with 4 large ideals: 463170
Wed Apr 22 23:56:37 2015  relations with 5 large ideals: 684505
Wed Apr 22 23:56:37 2015  relations with 6 large ideals: 618214
Wed Apr 22 23:56:37 2015  relations with 7+ large ideals: 428788
Wed Apr 22 23:56:37 2015  commencing 2-way merge
Wed Apr 22 23:56:37 2015  reduce to 1563965 relation sets and 1428994 unique ideals
Wed Apr 22 23:56:37 2015  commencing full merge
Wed Apr 22 23:56:51 2015  memory use: 179.2 MB
Wed Apr 22 23:56:51 2015  found 827540 cycles, need 809194
Wed Apr 22 23:56:51 2015  weight of 809194 cycles is about 57049050 (70.50/cycle)
Wed Apr 22 23:56:51 2015  distribution of cycle lengths:
Wed Apr 22 23:56:51 2015  1 relations: 59181
Wed Apr 22 23:56:51 2015  2 relations: 79634
Wed Apr 22 23:56:51 2015  3 relations: 92131
Wed Apr 22 23:56:51 2015  4 relations: 95095
Wed Apr 22 23:56:51 2015  5 relations: 92729
Wed Apr 22 23:56:51 2015  6 relations: 85574
Wed Apr 22 23:56:51 2015  7 relations: 73823
Wed Apr 22 23:56:51 2015  8 relations: 61617
Wed Apr 22 23:56:51 2015  9 relations: 48862
Wed Apr 22 23:56:51 2015  10+ relations: 120548
Wed Apr 22 23:56:51 2015  heaviest cycle: 18 relations
Wed Apr 22 23:56:51 2015  commencing cycle optimization
Wed Apr 22 23:56:52 2015  start with 4706074 relations
Wed Apr 22 23:56:56 2015  pruned 150410 relations
Wed Apr 22 23:56:56 2015  memory use: 147.8 MB
Wed Apr 22 23:56:56 2015  distribution of cycle lengths:
Wed Apr 22 23:56:56 2015  1 relations: 59181
Wed Apr 22 23:56:56 2015  2 relations: 81470
Wed Apr 22 23:56:56 2015  3 relations: 95774
Wed Apr 22 23:56:56 2015  4 relations: 98813
Wed Apr 22 23:56:56 2015  5 relations: 96710
Wed Apr 22 23:56:56 2015  6 relations: 88671
Wed Apr 22 23:56:56 2015  7 relations: 75916
Wed Apr 22 23:56:56 2015  8 relations: 61618
Wed Apr 22 23:56:56 2015  9 relations: 48020
Wed Apr 22 23:56:56 2015  10+ relations: 103021
Wed Apr 22 23:56:56 2015  heaviest cycle: 18 relations
Wed Apr 22 23:56:56 2015  RelProcTime: 250
Wed Apr 22 23:56:56 2015  
Wed Apr 22 23:56:56 2015  commencing linear algebra
Wed Apr 22 23:56:57 2015  read 809194 cycles
Wed Apr 22 23:56:57 2015  cycles contain 2341506 unique relations
Wed Apr 22 23:57:18 2015  read 2341506 relations
Wed Apr 22 23:57:20 2015  using 20 quadratic characters above 268429164
Wed Apr 22 23:57:27 2015  building initial matrix
Wed Apr 22 23:57:41 2015  memory use: 298.6 MB
Wed Apr 22 23:57:42 2015  read 809194 cycles
Wed Apr 22 23:57:42 2015  matrix is 809031 x 809194 (241.9 MB) with weight 72606649 (89.73/col)
Wed Apr 22 23:57:42 2015  sparse part has weight 54520090 (67.38/col)
Wed Apr 22 23:57:46 2015  filtering completed in 2 passes
Wed Apr 22 23:57:46 2015  matrix is 808863 x 809034 (241.9 MB) with weight 72601381 (89.74/col)
Wed Apr 22 23:57:46 2015  sparse part has weight 54518202 (67.39/col)
Wed Apr 22 23:57:47 2015  matrix starts at (0, 0)
Wed Apr 22 23:57:47 2015  matrix is 808863 x 809034 (241.9 MB) with weight 72601381 (89.74/col)
Wed Apr 22 23:57:47 2015  sparse part has weight 54518202 (67.39/col)
Wed Apr 22 23:57:47 2015  saving the first 48 matrix rows for later
Wed Apr 22 23:57:47 2015  matrix includes 64 packed rows
Wed Apr 22 23:57:48 2015  matrix is 808815 x 809034 (229.9 MB) with weight 57722823 (71.35/col)
Wed Apr 22 23:57:48 2015  sparse part has weight 52177093 (64.49/col)
Wed Apr 22 23:57:48 2015  using block size 65536 for processor cache size 8192 kB
Wed Apr 22 23:57:49 2015  commencing Lanczos iteration (8 threads)
Wed Apr 22 23:57:49 2015  memory use: 223.8 MB
Wed Apr 22 23:57:53 2015  linear algebra at 0.4%, ETA 0h17m
Thu Apr 23 00:15:30 2015  lanczos halted after 12793 iterations (dim = 808810)
Thu Apr 23 00:15:30 2015  recovered 36 nontrivial dependencies
Thu Apr 23 00:15:30 2015  BLanczosTime: 1114
Thu Apr 23 00:15:30 2015  
Thu Apr 23 00:15:30 2015  commencing square root phase
Thu Apr 23 00:15:30 2015  reading relations for dependency 1
Thu Apr 23 00:15:30 2015  read 404345 cycles
Thu Apr 23 00:15:31 2015  cycles contain 1170900 unique relations
Thu Apr 23 00:15:48 2015  read 1170900 relations
Thu Apr 23 00:15:51 2015  multiplying 1170900 relations
Thu Apr 23 00:16:15 2015  multiply complete, coefficients have about 33.99 million bits
Thu Apr 23 00:16:15 2015  initial square root is modulo 75931
Thu Apr 23 00:16:47 2015  GCD is 1, no factor found
Thu Apr 23 00:16:47 2015  reading relations for dependency 2
Thu Apr 23 00:16:47 2015  read 403562 cycles
Thu Apr 23 00:16:47 2015  cycles contain 1168378 unique relations
Thu Apr 23 00:17:05 2015  read 1168378 relations
Thu Apr 23 00:17:07 2015  multiplying 1168378 relations
Thu Apr 23 00:17:34 2015  multiply complete, coefficients have about 33.91 million bits
Thu Apr 23 00:17:34 2015  initial square root is modulo 74101
Thu Apr 23 00:18:05 2015  GCD is N, no factor found
Thu Apr 23 00:18:05 2015  reading relations for dependency 3
Thu Apr 23 00:18:06 2015  read 404752 cycles
Thu Apr 23 00:18:06 2015  cycles contain 1170954 unique relations
Thu Apr 23 00:18:23 2015  read 1170954 relations
Thu Apr 23 00:18:28 2015  multiplying 1170954 relations
Thu Apr 23 00:18:52 2015  multiply complete, coefficients have about 33.99 million bits
Thu Apr 23 00:18:52 2015  initial square root is modulo 75991
Thu Apr 23 00:19:24 2015  sqrtTime: 234
--
n: 19850467393291891285693873357131718397424239649043963349083856833404155547321014524606842139070145633492829286635483113713575445117026488007128858654018130333648669351
m: 50000000000000000000000000000000000
deg: 5
c5: 112
c0: 415
skew: 1.30
# Murphy_E = 1.315e-10
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 28
lpba: 28
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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62651300Serge BatalovJanuary 9, 2015 00:08:07 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 7 秒 (日本時間)
1CypJanuary 9, 2015 01:06:18 UTC 2015 年 1 月 9 日 (金) 10 時 6 分 18 秒 (日本時間)
2350Ignacio SantosMarch 29, 2015 09:00:09 UTC 2015 年 3 月 29 日 (日) 18 時 0 分 9 秒 (日本時間)

7×10176+839

c141

name 名前Jo Yeong Uk
date 日付August 23, 2015 21:29:25 UTC 2015 年 8 月 24 日 (月) 6 時 29 分 25 秒 (日本時間)
composite number 合成数
330217591279163439161382783628541240050427046915522896520116478290003614447419778546964373122686742849081344772835308763811992857914387006769<141>
prime factors 素因数
3307167252466320091459410139179941049082395275771<49>
99849075075626628556123313004051421910690600295669826485824178569590691787199357353173772739<92>
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 330217591279163439161382783628541240050427046915522896520116478290003614447419778546964373122686742849081344772835308763811992857914387006769 (141 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3611699164
Step 1 took 25017ms
Step 2 took 8577ms
********** Factor found in step 2: 3307167252466320091459410139179941049082395275771
Found probable prime factor of 49 digits: 3307167252466320091459410139179941049082395275771
Probable prime cofactor 99849075075626628556123313004051421910690600295669826485824178569590691787199357353173772739 has 92 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:08 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 8 秒 (日本時間)
4511e6600 / 4409KTakahashiApril 28, 2015 09:17:55 UTC 2015 年 4 月 28 日 (火) 18 時 17 分 55 秒 (日本時間)

7×10178+839

c171

name 名前Cyp
date 日付May 2, 2015 09:19:40 UTC 2015 年 5 月 2 日 (土) 18 時 19 分 40 秒 (日本時間)
composite number 合成数
938629040836571637046685249644417149111936916941239126837384784793748269318899793210636013294902642244772650838457879149177828675607966455758062089318786353186557764779911<171>
prime factors 素因数
2544386856821912416745896182584683188263<40>
368901858740527395173434732198710604289237487890773374692583198208911092154453159795502137951981009376752818307179457731050192916897<132>
factorization results 素因数分解の結果
Run 56 out of 128:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1314859700
Step 1 took 49974ms
Step 2 took 17277ms
********** Factor found in step 2: 2544386856821912416745896182584683188263
Found probable prime factor of 40 digits: 2544386856821912416745896182584683188263
Probable prime cofactor 368901858740527395173434732198710604289237487890773374692583198208911092154453159795502137951981009376752818307179457731050192916897 has 132 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6282281CypJanuary 8, 2015 22:36:23 UTC 2015 年 1 月 9 日 (金) 7 時 36 分 23 秒 (日本時間)
1CypJanuary 9, 2015 07:18:34 UTC 2015 年 1 月 9 日 (金) 16 時 18 分 34 秒 (日本時間)
4511e6780 / 4413CypMay 2, 2015 09:17:53 UTC 2015 年 5 月 2 日 (土) 18 時 17 分 53 秒 (日本時間)

7×10181+839

c144

name 名前Jo Yeong Uk
date 日付January 27, 2016 01:00:12 UTC 2016 年 1 月 27 日 (水) 10 時 0 分 12 秒 (日本時間)
composite number 合成数
401271632916776989329106573051140381417589371625969064319060436572713926867866744214176081635950721554448715777620375870963738189224400674246199<144>
prime factors 素因数
576110213347187684469584318907899162334896605494030170185532728947461<69>
696518866738011146483455086212287163806627233609366076064258609327642786059<75>
factorization results 素因数分解の結果
Number: 77787_181
N=401271632916776989329106573051140381417589371625969064319060436572713926867866744214176081635950721554448715777620375870963738189224400674246199
  ( 144 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=576110213347187684469584318907899162334896605494030170185532728947461
 r2=696518866738011146483455086212287163806627233609366076064258609327642786059
Version: 
Total time: 68.93 hours.
Scaled time: 362.30 units (timescale=5.256).
Factorization parameters were as follows:
n: 401271632916776989329106573051140381417589371625969064319060436572713926867866744214176081635950721554448715777620375870963738189224400674246199
m: 1000000000000000000000000000000000000
deg: 5
c5: 70
c0: 83
skew: 1.03
# Murphy_E = 6.399e-11
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3100000, 6400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18459941
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1494035 x 1494283
Total sieving time: 64.64 hours.
Total relation processing time: 1.55 hours.
Matrix solve time: 2.66 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time: 68.93 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:08 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 8 秒 (日本時間)
4511e6600 / 4409KTakahashiMay 17, 2015 21:18:43 UTC 2015 年 5 月 18 日 (月) 6 時 18 分 43 秒 (日本時間)

7×10183+839

c146

name 名前Jo Yeong Uk
date 日付April 22, 2016 01:37:34 UTC 2016 年 4 月 22 日 (金) 10 時 37 分 34 秒 (日本時間)
composite number 合成数
82510184673714138893012477134732141787298358470610214357792456344681148397544287885353688634299738732284371030281389379459689385446592293609520833<146>
prime factors 素因数
2226667625428663143938240414210235390298458469562537823088440817<64>
37055456203451033935419698260668940341220521427789739312882113230100803066147882449<83>
factorization results 素因数分解の結果
Number: 77787_183
N=82510184673714138893012477134732141787298358470610214357792456344681148397544287885353688634299738732284371030281389379459689385446592293609520833
  ( 146 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=2226667625428663143938240414210235390298458469562537823088440817
 r2=37055456203451033935419698260668940341220521427789739312882113230100803066147882449
Version: 
Total time: 85.00 hours.
Scaled time: 444.88 units (timescale=5.234).
Factorization parameters were as follows:


n: 82510184673714138893012477134732141787298358470610214357792456344681148397544287885353688634299738732284371030281389379459689385446592293609520833
m: 2000000000000000000000000000000000000
deg: 5
c5: 875
c0: 332
skew: 0.82
# Murphy_E = 4.926e-11
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5

Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3600000, 7600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19201819
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1499803 x 1500051
Total sieving time: 80.19 hours.
Total relation processing time: 1.98 hours.
Matrix solve time: 2.71 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000
total time: 85.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49365464k/51380224k available (5398k kernel code, 1086460k absent, 928300k reserved, 7010k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.67 BogoMIPS (lpj=3399839)
Total of 12 processors activated (81596.13 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:09 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 9 秒 (日本時間)
4511e6585 / 4409CypMay 16, 2015 16:23:07 UTC 2015 年 5 月 17 日 (日) 1 時 23 分 7 秒 (日本時間)

7×10184+839

c172

name 名前Serge Batalov
date 日付January 9, 2015 03:54:30 UTC 2015 年 1 月 9 日 (金) 12 時 54 分 30 秒 (日本時間)
composite number 合成数
4681720894539733846066652008865209541797039760990986536752257524002668331453619461077489764994317991016468148248043933450041977974236662156923210582995464018128827640776891<172>
prime factors 素因数
5658602540510132742502497570503591<34>
composite cofactor 合成数の残り
827363445483779933866091205161485347657733340488329680313088842986469064339914235000190334097835227297168856383950009924182693428449156301<138>
factorization results 素因数分解の結果
Input number is 4681720894539733846066652008865209541797039760990986536752257524002668331453619461077489764994317991016468148248043933450041977974236662156923210582995464018128827640776891 (172 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2721536232
Step 1 took 11737ms
Step 2 took 10173ms
********** Factor found in step 2: 5658602540510132742502497570503591
Found probable prime factor of 34 digits: 5658602540510132742502497570503591
Composite cofactor 827363445483779933866091205161485347657733340488329680313088842986469064339914235000190334097835227297168856383950009924182693428449156301 has 138 digits

c138

name 名前Jo Yeong Uk
date 日付June 6, 2016 00:24:54 UTC 2016 年 6 月 6 日 (月) 9 時 24 分 54 秒 (日本時間)
composite number 合成数
827363445483779933866091205161485347657733340488329680313088842986469064339914235000190334097835227297168856383950009924182693428449156301<138>
prime factors 素因数
1975479854516259255584539302043660768302018785972073112256312899<64>
418816442796061067237606934612897941174956969775520394213526300506409850799<75>
factorization results 素因数分解の結果
Number: 77787_184
N=827363445483779933866091205161485347657733340488329680313088842986469064339914235000190334097835227297168856383950009924182693428449156301
  ( 138 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=1975479854516259255584539302043660768302018785972073112256312899
 r2=418816442796061067237606934612897941174956969775520394213526300506409850799
Version: 
Total time: 74.87 hours.
Scaled time: 383.70 units (timescale=5.125).
Factorization parameters were as follows:
n: 827363445483779933866091205161485347657733340488329680313088842986469064339914235000190334097835227297168856383950009924182693428449156301
m: 10000000000000000000000000000000000000
deg: 5
c5: 7
c0: 830
skew: 2.60
# Murphy_E = 5.192e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3700000, 7100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20562509
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1546785 x 1547033
Total sieving time: 70.00 hours.
Total relation processing time: 1.85 hours.
Matrix solve time: 2.94 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,54,54,2.5,2.5,100000
total time: 74.87 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:09 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 9 秒 (日本時間)
4511e6789 / 3935Pierre JammesFebruary 5, 2015 07:11:37 UTC 2015 年 2 月 5 日 (木) 16 時 11 分 37 秒 (日本時間)
5043e6135 / 7364Pierre JammesMarch 23, 2015 08:39:49 UTC 2015 年 3 月 23 日 (月) 17 時 39 分 49 秒 (日本時間)

7×10188+839

c180

name 名前Kenji Ibusuki
date 日付March 23, 2018 14:21:49 UTC 2018 年 3 月 23 日 (金) 23 時 21 分 49 秒 (日本時間)
composite number 合成数
141356298673735573678729484724863790287271844842998649717583614776399665537184808185513371498003288464871204235315966911964614424763554394526000273967488961235729137843170784734793<180>
prime factors 素因数
33382295517896995166681387376278786397293625035062003<53>
4234469094492057946139246555144425419363551575526499243287209301874857406052617168626367909050310488264006796040119457200670931<127>
factorization results 素因数分解の結果
Number: 77787_188
N=141356298673735573678729484724863790287271844842998649717583614776399665537184808185513371498003288464871204235315966911964614424763554394526000273967488961235729137843170784734793
  ( 180 digits)
SNFS difficulty: 188 digits.
Divisors found: (Total dependency: 1)
 r1=33382295517896995166681387376278786397293625035062003 (pp53)
 r2=4234469094492057946139246555144425419363551575526499243287209301874857406052617168626367909050310488264006796040119457200670931 (pp127)
Msieve version: Msieve v. 1.49 (SVN unknown)
GGNFS version: GGNFS-0.77.1-VC8(UTE)
Total time: 376.53 hours (18.84 calendar hours).
Scaled time: 1578.03 units (timescale=4.191).
Factorization parameters were as follows:
n: 141356298673735573678729484724863790287271844842998649717583614776399665537184808185513371498003288464871204235315966911964614424763554394526000273967488961235729137843170784734793
m: 10000000000000000000000000000000000000
deg: 5
c5: 7000
c0: 83
skew: 0.41
# Murphy_E = 3.081e-11
type: snfs
lss: 1
rlim: 9800000
alim: 9800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
relslim: 28300000
qintsize: 5000

Polynomial score was as follows:
skew 0.41, size 2.257e-013, alpha 0.020, combined = 3.462e-011 rroots = 1
Factor base limits: 9800000/9800000
Large primes per side: 3
Large prime bits: 28/28
Sieved special-q in [4900000, 26080001)
Relations: raw-rels:28455608 rels:24103991, finalFF:1735730
Pruned matrix : 1735280 x 1735506
Total sieving time: 363.73 hours (16.82 calendar hours).
Total relation processing time: 0.11 hours.
Total matrix build processing time: 0.03 hours.
Matrix pruned processing time: (N/A)
Matrix solve time: 12.57 hours (1.80 calendar hours).
Total time of square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9800000,9800000,28,28,54,54,2.5,2.5,100000
total time: 376.53 hours (18.84 calendar hours).
 --------- CPU info (if available) ----------
software ソフトウェア
Msieve v. 1.49 (SVN unknown) + GGNFS-0.77.1-VC8 with 
factMsieve.pl (decomposed + modified) snfs
(without procrels.exe, matbuild.exe for "finalFF" calculation)
execution environment 実行環境
[Envilonment]
  PC #1   (Master) --- Intel Core i7 2600, 16GB RAM, Windows 7 64bit
  PC #2,3 (Slave)  --- Intel Core i7 4770, 16GB RAM, Windows 7 64bit
  PC #4   (Slave)  --- Intel Core 2 Quad Q6600, 4GB RAM, Windows Vista 32bit

[Threads used]
  (Sieving)
    PC #1   --- 7 threads used
    PC #2,3 --- 7 threads used x 2
    PC #4   --- 4 threads used
  (Relation processing and Matrix build processing)
    PC #1   --- 1 thread used
  (Matrix solve)
    PC #1   --- 7 threads used
  (Square root processing)
    PC #1   --- 1 thread used

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:08:10 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 10 秒 (日本時間)
1CypJanuary 9, 2015 00:25:29 UTC 2015 年 1 月 9 日 (金) 9 時 25 分 29 秒 (日本時間)
4511e6585 / 4409CypMay 20, 2015 06:56:47 UTC 2015 年 5 月 20 日 (水) 15 時 56 分 47 秒 (日本時間)

7×10190+839

c172

name 名前Cyp
date 日付August 9, 2015 09:54:12 UTC 2015 年 8 月 9 日 (日) 18 時 54 分 12 秒 (日本時間)
composite number 合成数
1056622865070797471970554124425391906229202355462571439458356097524712815054700601684700506287669431163620007052240459324900792757118784991109516246800014055979535815964161<172>
prime factors 素因数
26997545881794381039857539608187284049<38>
composite cofactor 合成数の残り
39137737544630832859151269699362512181684387736562400018507901550481209290051166982282611746339024237946927511698641374411490014426289<134>
factorization results 素因数分解の結果
Run 159 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2910075065
Step 1 took 50731ms
Step 2 took 17563ms
********** Factor found in step 2: 26997545881794381039857539608187284049
Found probable prime factor of 38 digits: 26997545881794381039857539608187284049
Composite cofactor 39137737544630832859151269699362512181684387736562400018507901550481209290051166982282611746339024237946927511698641374411490014426289 has 134 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

c134

name 名前Jo Yeong Uk
date 日付April 2, 2017 03:10:57 UTC 2017 年 4 月 2 日 (日) 12 時 10 分 57 秒 (日本時間)
composite number 合成数
39137737544630832859151269699362512181684387736562400018507901550481209290051166982282611746339024237946927511698641374411490014426289<134>
prime factors 素因数
150723777674012869889595110467980937630412309<45>
259665317235336181752996974630269296126967019166574772527004194063956840225075548457234221<90>
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 39137737544630832859151269699362512181684387736562400018507901550481209290051166982282611746339024237946927511698641374411490014426289 (134 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=5365003230
Step 1 took 19771ms
Step 2 took 7828ms
********** Factor found in step 2: 150723777674012869889595110467980937630412309
Found probable prime factor of 45 digits: 150723777674012869889595110467980937630412309
Probable prime cofactor 259665317235336181752996974630269296126967019166574772527004194063956840225075548457234221 has 90 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:10 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 10 秒 (日本時間)
4511e6692 / 4409542CypAugust 4, 2015 18:16:40 UTC 2015 年 8 月 5 日 (水) 3 時 16 分 40 秒 (日本時間)
150Dmitry DomanovJanuary 13, 2017 08:34:39 UTC 2017 年 1 月 13 日 (金) 17 時 34 分 39 秒 (日本時間)

7×10191+839

c139

name 名前Pierre Jammes
date 日付February 5, 2015 14:08:41 UTC 2015 年 2 月 5 日 (木) 23 時 8 分 41 秒 (日本時間)
composite number 合成数
6966344297407170732680563463971721788927954796521313875749027003244548969108380967514366217834779355460278129876803205006494033547413943807<139>
prime factors 素因数
6784231840920749937465322023034788726547<40>
1026843489544087375100107422733808850541568403528833055565144826662239835581966667665185804193060581<100>
factorization results 素因数分解の結果
Using B1=11000000, B2=144269945836, polynomial Dickson(12), sigma=3309259394
Step 1 took 74780ms
Step 2 took 58540ms
********** Factor found in step 2: 6784231840920749937465322023034788726547
Found probable prime factor of 40 digits: 6784231840920749937465322023034788726547
Probable prime cofactor 1026843489544087375100107422733808850541568403528833055565144826662239835581966667665185804193060581 has 100 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Debian 8

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:08:11 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 11 秒 (日本時間)

7×10192+839

c185

name 名前Serge Batalov
date 日付January 9, 2015 03:54:34 UTC 2015 年 1 月 9 日 (金) 12 時 54 分 34 秒 (日本時間)
composite number 合成数
29311008360952573100995354527595880987641796347256275856418149639338719700095792143881810845653451517998908315680883230122363871019956052497741136672445918185195685504989920718872746521<185>
prime factors 素因数
83295391347413559220439902242077<32>
composite cofactor 合成数の残り
351892318252043625735799850585242061013078830644264467749616631391337663378767168735900408719078926715739857654203827284401312209123214244843891984073773<153>
factorization results 素因数分解の結果
Input number is 29311008360952573100995354527595880987641796347256275856418149639338719700095792143881810845653451517998908315680883230122363871019956052497741136672445918185195685504989920718872746521 (185 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1003105425
Step 1 took 13832ms
Step 2 took 9931ms
********** Factor found in step 2: 83295391347413559220439902242077
Found probable prime factor of 32 digits: 83295391347413559220439902242077
Composite cofactor 351892318252043625735799850585242061013078830644264467749616631391337663378767168735900408719078926715739857654203827284401312209123214244843891984073773 has 153 digits

c153

name 名前Dmitry Domanov
date 日付May 6, 2019 08:14:55 UTC 2019 年 5 月 6 日 (月) 17 時 14 分 55 秒 (日本時間)
composite number 合成数
351892318252043625735799850585242061013078830644264467749616631391337663378767168735900408719078926715739857654203827284401312209123214244843891984073773<153>
prime factors 素因数
823972266139353115721188336111014962096696332334371350727<57>
427068158374799410106555262070451891885287768976357864772556914698782698384607600646392204443499<96>
factorization results 素因数分解の結果
Number: 77787
N=351892318252043625735799850585242061013078830644264467749616631391337663378767168735900408719078926715739857654203827284401312209123214244843891984073773
  ( 153 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=823972266139353115721188336111014962096696332334371350727 (pp57)
 r2=427068158374799410106555262070451891885287768976357864772556914698782698384607600646392204443499 (pp96)
Version: Msieve v. 1.52 (SVN exported)
Total time: 566.30 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 351892318252043625735799850585242061013078830644264467749616631391337663378767168735900408719078926715739857654203827284401312209123214244843891984073773
m: 100000000000000000000000000000000000000
deg: 5
c5: 700
c0: 83
skew: 0.65
# Murphy_E = 2.302e-11
type: snfs
lss: 1
rlim: 11500000
alim: 11500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11500000/11500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5750000, 12650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2370872 x 2371098
Total sieving time: 554.39 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 8.78 hours.
Time per square root: 2.73 hours.
Prototype def-par.txt line would be:
snfs,192.000,5,0,0,0,0,0,0,0,0,11500000,11500000,28,28,55,55,2.5,2.5,100000
total time: 566.30 hours.
 --------- CPU info (if available) ----------
[    0.030717] smpboot: CPU0: Intel(R) Xeon(R) CPU E5-2620 0 @ 2.00GHz (fam: 06, model: 2d, stepping: 07)
[    0.000000] Memory: 8180304K/8388072K available (5291K kernel code, 949K rwdata, 1836K rodata, 1208K init, 840K bss, 207768K reserved)
[    0.008000] Calibrating delay loop (skipped) preset value.. 4000.04 BogoMIPS (lpj=8000096)
[    0.124067] smpboot: Total of 8 processors activated (32000.38 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:11 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 11 秒 (日本時間)
4511e6985 / 3988585CypFebruary 2, 2015 18:17:59 UTC 2015 年 2 月 3 日 (火) 3 時 17 分 59 秒 (日本時間)
400Dmitry DomanovJanuary 23, 2019 14:20:38 UTC 2019 年 1 月 23 日 (水) 23 時 20 分 38 秒 (日本時間)
5043e6120 / 7320Dmitry DomanovMarch 3, 2019 23:10:06 UTC 2019 年 3 月 4 日 (月) 8 時 10 分 6 秒 (日本時間)

7×10194+839

c171

name 名前Eric Jeancolas
date 日付December 3, 2020 06:29:36 UTC 2020 年 12 月 3 日 (木) 15 時 29 分 36 秒 (日本時間)
composite number 合成数
418512770341744160844946236642683683690185311656347544249832522057935064806620220200172752711364269650863624472710463890098595232192508973824955924193849526851232310860943<171>
prime factors 素因数
169896890601161620080847466769317520652030991<45>
2463333901290849773323482201519763409114484398148987162024419343842953069907993633430473374075799528373406887794688262474444673<127>
factorization results 素因数分解の結果
418512770341744160844946236642683683690185311656347544249832522057935064806620220200172752711364269650863624472710463890098595232192508973824955924193849526851232310860943=169896890601161620080847466769317520652030991*2463333901290849773323482201519763409114484398148987162024419343842953069907993633430473374075799528373406887794688262474444673

cado polynomial
n: 418512770341744160844946236642683683690185311656347544249832522057935064806620220200172752711364269650863624472710463890098595232192508973824955924193849526851232310860943
skew: 1.30
type: snfs
c0: 415
c5: 112
Y0: 500000000000000000000000000000000000000
Y1: -1
# f(x) = 112*x^5+415
# g(x) = -x+500000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12700000
tasks.lim1 = 12700000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2463333901290849773323482201519763409114484398148987162024419343842953069907993633430473374075799528373406887794688262474444673 169896890601161620080847466769317520652030991
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.48/2.3128
Info:Generate Free Relations: Total cpu/real time for freerel: 99.45/25.6809
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29200854
Info:Lattice Sieving: Average J: 1893.41 for 3398608 special-q, max bucket fill -bkmult 1.0,1s:1.119890
Info:Lattice Sieving: Total time: 1.00533e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 56.02/148.212
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 147.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 485.72/490.816
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 430.3999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 416.12/485.779
Info:Filtering - Merging: Merged matrix has 2569447 rows and total weight 438385940 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 362.32/104.541
Info:Filtering - Merging: Total cpu/real time for replay: 98.9/85.4068
Info:Linear Algebra: Total cpu/real time for bwc: 115399/29590.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 18860.21, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (80384 iterations)
Info:Linear Algebra: Lingen CPU time 520.7, WCT time 150.86
Info:Linear Algebra: Mksol: WCT time 10319.35, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (40448 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 89.3/38.2417
Info:Square Root: Total cpu/real time for sqrt: 692.89/220.077
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.97088e+06/93166
Info:root: Cleaning up computation data in /tmp/cado.ayycwnl7
2463333901290849773323482201519763409114484398148987162024419343842953069907993633430473374075799528373406887794688262474444673 169896890601161620080847466769317520652030991
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:12 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 12 秒 (日本時間)
4511e6985 / 3988585CypJuly 2, 2015 05:14:07 UTC 2015 年 7 月 2 日 (木) 14 時 14 分 7 秒 (日本時間)
400Dmitry DomanovJanuary 23, 2019 14:21:10 UTC 2019 年 1 月 23 日 (水) 23 時 21 分 10 秒 (日本時間)
5043e6120 / 7320Dmitry DomanovMarch 3, 2019 19:06:46 UTC 2019 年 3 月 4 日 (月) 4 時 6 分 46 秒 (日本時間)

7×10198+839

c184

name 名前Bob Backstrom
date 日付March 18, 2021 07:57:36 UTC 2021 年 3 月 18 日 (木) 16 時 57 分 36 秒 (日本時間)
composite number 合成数
1225528163533451541257452610540975138185049904601853907590369821701543109305867748319947744262645465731909008843992684595875878563781098538515612920032777917522587940505310149412919901<184>
prime factors 素因数
3828605841984252984900543875427634826391032153<46>
519950232611023834755387886805800495780384281448437208230114767<63>
615631540152909601512756736335898623177281138707189776016745279377483999051<75>
factorization results 素因数分解の結果
Number: n
N=1225528163533451541257452610540975138185049904601853907590369821701543109305867748319947744262645465731909008843992684595875878563781098538515612920032777917522587940505310149412919901  ( 184 digits)
SNFS difficulty: 198 digits.
Divisors found:

Thu Mar 18 18:49:30 2021  found factor: 615631540152909601512756736335898623177281138707189776016745279377483999051
Thu Mar 18 18:52:29 2021  p46 factor: 3828605841984252984900543875427634826391032153
Thu Mar 18 18:52:29 2021  p63 factor: 519950232611023834755387886805800495780384281448437208230114767
Thu Mar 18 18:52:29 2021  p75 factor: 615631540152909601512756736335898623177281138707189776016745279377483999051
Thu Mar 18 18:52:29 2021  elapsed time 01:32:36 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 7x10^198+83 = 7(196)87
#
n: 1225528163533451541257452610540975138185049904601853907590369821701543109305867748319947744262645465731909008843992684595875878563781098538515612920032777917522587940505310149412919901
m: 1000000000000000000000000000000000000000
deg: 5
c5: 7000
c0: 83
skew: 0.41
# Murphy_E = 1.19e-11
type: snfs
lss: 1
rlim: 14400000
alim: 14400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14400000/14400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4519490 hash collisions in 30097871 relations (27017103 unique)
Msieve: matrix is 1973542 x 1973767 (687.2 MB)

Sieving start time : 2021/03/18 08:22:14
Sieving end time  : 2021/03/18 17:19:17

Total sieving time: 8hrs 57min 3secs.

Total relation processing time: 1hrs 14min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 57sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14400000,14400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116745] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.152613] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.17 BogoMIPS (lpj=12798352)
[    0.150217] 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:08:12 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 12 秒 (日本時間)
1CypJanuary 9, 2015 01:07:13 UTC 2015 年 1 月 9 日 (金) 10 時 7 分 13 秒 (日本時間)
4511e61063 / 2479513CypAugust 4, 2015 18:16:38 UTC 2015 年 8 月 5 日 (水) 3 時 16 分 38 秒 (日本時間)
150Dmitry DomanovJanuary 13, 2017 08:35:12 UTC 2017 年 1 月 13 日 (金) 17 時 35 分 12 秒 (日本時間)
400Dmitry DomanovJanuary 23, 2019 14:21:32 UTC 2019 年 1 月 23 日 (水) 23 時 21 分 32 秒 (日本時間)
5043e6550 / 7303150Dmitry DomanovMarch 1, 2019 19:19:24 UTC 2019 年 3 月 2 日 (土) 4 時 19 分 24 秒 (日本時間)
400Dmitry DomanovApril 29, 2019 23:04:14 UTC 2019 年 4 月 30 日 (火) 8 時 4 分 14 秒 (日本時間)

7×10199+839

c178

name 名前Serge Batalov
date 日付January 9, 2015 03:54:38 UTC 2015 年 1 月 9 日 (金) 12 時 54 分 38 秒 (日本時間)
composite number 合成数
1098211631969630367425290650391535505977201118716681647497949402840627844220157651316680759722133904336033618927847806831168890245448786230635759766939412218352669370146318710761<178>
prime factors 素因数
720960916392418671629234553031<30>
1523260979894608208068802353055623526668960025822646633355017762331388613482174853994187832814638399232896229429349123250381337880925042564298682831<148>
factorization results 素因数分解の結果
Input number is 1098211631969630367425290650391535505977201118716681647497949402840627844220157651316680759722133904336033618927847806831168890245448786230635759766939412218352669370146318710761 (178 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=879835839
Step 1 took 15397ms
Step 2 took 11254ms
********** Factor found in step 2: 720960916392418671629234553031
Found probable prime factor of 30 digits: 720960916392418671629234553031
Probable prime cofactor 1523260979894608208068802353055623526668960025822646633355017762331388613482174853994187832814638399232896229429349123250381337880925042564298682831 has 148 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:08:13 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 13 秒 (日本時間)

7×10200+839

c189

name 名前Eric Jeancolas
date 日付March 28, 2021 19:24:28 UTC 2021 年 3 月 29 日 (月) 4 時 24 分 28 秒 (日本時間)
composite number 合成数
728767322404114602226365404602456673795747326280688284959490226319992312131155383082528903084352210712385928422029526276543002084435294612839836829385009167352446381024181673352812464164533<189>
prime factors 素因数
2462506259545525271134191258675097879444407988439526369333889312171519051611064203946378172449<94>
295945368495678176806961944608625716173150609357487807114699066967972734843591189474229281412117<96>
factorization results 素因数分解の結果
728767322404114602226365404602456673795747326280688284959490226319992312131155383082528903084352210712385928422029526276543002084435294612839836829385009167352446381024181673352812464164533=2462506259545525271134191258675097879444407988439526369333889312171519051611064203946378172449*295945368495678176806961944608625716173150609357487807114699066967972734843591189474229281412117

cado polynomial
n: 728767322404114602226365404602456673795747326280688284959490226319992312131155383082528903084352210712385928422029526276543002084435294612839836829385009167352446381024181673352812464164533
skew: 1.64
type: snfs
c0: 83
c5: 7
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 7*x^5+83
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15600000
tasks.lim1 = 15600000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 295945368495678176806961944608625716173150609357487807114699066967972734843591189474229281412117 2462506259545525271134191258675097879444407988439526369333889312171519051611064203946378172449
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 6.47/2.44421
Info:Generate Free Relations: Total cpu/real time for freerel: 202.97/52.6326
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 47888283
Info:Lattice Sieving: Average J: 1893.76 for 4236874 special-q, max bucket fill -bkmult 1.0,1s:1.091360
Info:Lattice Sieving: Total time: 1.25172e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.79/240.289
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 239.60000000000002s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 808.05/784.155
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 676.9999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 626.7/705.388
Info:Filtering - Merging: Merged matrix has 3433154 rows and total weight 590702173 (172.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 504.63/145.687
Info:Filtering - Merging: Total cpu/real time for replay: 148.68/133.701
Info:Linear Algebra: Total cpu/real time for bwc: 219080/56077.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 35936.91, iteration CPU time 0.32, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (107520 iterations)
Info:Linear Algebra: Lingen CPU time 755.44, WCT time 218.31
Info:Linear Algebra: Mksol: WCT time 19480.06, iteration CPU time 0.35, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (53760 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 125.53/53.0361
Info:Square Root: Total cpu/real time for sqrt: 1702.85/531.075
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.44866e+06/65082.8
295945368495678176806961944608625716173150609357487807114699066967972734843591189474229281412117 2462506259545525271134191258675097879444407988439526369333889312171519051611064203946378172449
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
6 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:13 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 13 秒 (日本時間)
4511e61385585CypJune 9, 2015 22:33:20 UTC 2015 年 6 月 10 日 (水) 7 時 33 分 20 秒 (日本時間)
800Dmitry DomanovNovember 26, 2018 06:19:42 UTC 2018 年 11 月 26 日 (月) 15 時 19 分 42 秒 (日本時間)
5043e6900 / 7231300Dmitry DomanovFebruary 13, 2019 13:53:34 UTC 2019 年 2 月 13 日 (水) 22 時 53 分 34 秒 (日本時間)
600Dmitry DomanovFebruary 25, 2019 22:17:33 UTC 2019 年 2 月 26 日 (火) 7 時 17 分 33 秒 (日本時間)

7×10202+839

c174

name 名前Bob Backstrom
date 日付July 24, 2021 04:09:41 UTC 2021 年 7 月 24 日 (土) 13 時 9 分 41 秒 (日本時間)
composite number 合成数
624541982222147377003268147008830098403362138516124122902963752457073983162353197401198601652926235857951892592680716520297863626518171015112490552641682147176014569547658099<174>
prime factors 素因数
647264698473458320092301417475187201216291344179<48>
24284941960133782206414720115031021160232535247527<50>
39732203028504684393261641908522789676065283732007278665322327710942185583703<77>
factorization results 素因数分解の結果
#
# N = 7x10^202+83 = 7(200)87
#
n: 624541982222147377003268147008830098403362138516124122902963752457073983162353197401198601652926235857951892592680716520297863626518171015112490552641682147176014569547658099
m: 10000000000000000000000000000000000000000
deg: 5
c5: 700
c0: 83
skew: 0.65
# Murphy_E = 8.825e-12
type: snfs
lss: 1
rlim: 16800000
alim: 16800000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 624541982222147377003268147008830098403362138516124122902963752457073983162353197401198601652926235857951892592680716520297863626518171015112490552641682147176014569547658099 (174 digits)
Using B1=44130000, B2=240491351116, polynomial Dickson(12), sigma=1:1600550985
Step 1 took 118861ms
Step 2 took 39148ms
********** Factor found in step 2: 24284941960133782206414720115031021160232535247527
Found prime factor of 50 digits: 24284941960133782206414720115031021160232535247527
Composite cofactor 25717252412931312034831888528810931500155137977179051188076958625422808664105165492494980469514508582394205271758197586314837 has 125 digits



CADO

STA:Sat 24 Jul 2021 09:48:35 AEST (25,717,252,412,931,312,034,831,888,528,810,931,500,155,137,977,179,051,188,076,958,625,422,808,664,105,165,492,494,980,469,514,508,582,394,205,271,758,197,586,314,837 - C125)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 25717252412931312034831888528810931500155137977179051188076958625422808664105165492494980469514508582394205271758197586314837 2>&1 | tee -a log35

Debug:root: Looking for parameter file for c125 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.plz4z7nb
Info:Database: Opened connection to database /tmp/cado.plz4z7nb/c125.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 2571725241293131203483188852881093150015513797717905118807695862542280866410516549249
4980469514508582394205271758197586314837
Debug:root: Root parameter dictionary:
N = 25717252412931312034831888528810931500155137977179051188076958625422808664105165492494980469514508582394205271758197586314837
...
n: 25717252412931312034831888528810931500155137977179051188076958625422808664105165492494980469514508582394205271758197586314837
skew: 12891.352
c0: 829551577306527711437469507
c1: -178713663993106199147891
c2: -26726695764330832257
c3: 740947818815186
c4: 55803930195
c5: -3105900
Y0: -660273242810378453946112
Y1: 375215209859627191
# MurphyE (Bf=9.21e+06,Bg=2.38e+06,area=3.09e+14) = 6.02e-10
# f(x) = -3105900*x^5+55803930195*x^4+740947818815186*x^3-26726695764330832257*x^2-178713663993106199147891*x+829551577306527711437469507
# g(x) = 375215209859627191*x-660273242810378453946112
...
Info:Square Root: Factors: 647264698473458320092301417475187201216291344179 39732203028504684393261641908522789676065283732007278665322327710942185583703
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 699.15/97.3589
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21528.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21744/37.470/44.292/47.910/0.861
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 21744/36.230/40.033/45.100/1.295
Info:Polynomial Selection (size optimized): Total time: 1761.19
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 987.14
Info:Polynomial Selection (root optimized): Rootsieve time: 986.22
Info:Generate Factor Base: Total cpu/real time for makefb: 11.86/1.10971
Info:Generate Free Relations: Total cpu/real time for freerel: 148.4/9.94542
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13057997
Info:Lattice Sieving: Average J: 3792.86 for 229795 special-q, max bucket fill: 0.732865
Info:Lattice Sieving: Total CPU time: 158888s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 33.4/39.9395
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 189.6/59.2876
Info:Filtering - Singleton removal: Total cpu/real time for purge: 122.33/49.2336
Info:Filtering - Merging: Total cpu/real time for merge: 268.2/219.743
Info:Filtering - Merging: Total cpu/real time for replay: 24.25/18.2763
Info:Linear Algebra: Total cpu/real time for bwc: 11860.9/0.00034523
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 492.85
Info:Linear Algebra: Lingen CPU time 154.63, WCT time 15.44
Info:Linear Algebra: Mksol: WCT time 266.44
Info:Quadratic Characters: Total cpu/real time for characters: 26.37/6.2352
Info:Square Root: Total cpu/real time for sqrt: 699.15/97.3589
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 175021/11936.4
Info:root: Cleaning up computation data in /tmp/cado.plz4z7nb
647264698473458320092301417475187201216291344179 39732203028504684393261641908522789676065283732007278665322327710942185583703

END:Sat 24 Jul 2021 13:07:32 AEST (25,717,252,412,931,312,034,831,888,528,810,931,500,155,137,977,179,051,188,076,958,625,422,808,664,105,165,492,494,980,469,514,508,582,394,205,271,758,197,586,314,837 - C125)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:14 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 14 秒 (日本時間)
4511e61385585CypMay 20, 2015 08:33:59 UTC 2015 年 5 月 20 日 (水) 17 時 33 分 59 秒 (日本時間)
800Dmitry DomanovNovember 11, 2018 01:29:36 UTC 2018 年 11 月 11 日 (日) 10 時 29 分 36 秒 (日本時間)
5043e61700 / 7231300Dmitry DomanovFebruary 13, 2019 14:27:34 UTC 2019 年 2 月 13 日 (水) 23 時 27 分 34 秒 (日本時間)
600Dmitry DomanovFebruary 26, 2019 05:50:16 UTC 2019 年 2 月 26 日 (火) 14 時 50 分 16 秒 (日本時間)
800Dmitry DomanovMarch 19, 2019 12:54:24 UTC 2019 年 3 月 19 日 (火) 21 時 54 分 24 秒 (日本時間)

7×10205+839

c178

name 名前Bob Backstrom
date 日付July 10, 2021 23:11:48 UTC 2021 年 7 月 11 日 (日) 8 時 11 分 48 秒 (日本時間)
composite number 合成数
9406460451499326868626469973960358663626131820368495368095575076245852158225610732515090877045392526945086492867886601872169161631345912444664042828932085048967501925640974649179<178>
prime factors 素因数
259820792120010860707501174490662164988986917<45>
452036449172060954593498656771576334490636417674205450483531<60>
80090107503087677798432798612249283384093551023116206472079273248906728477<74>
factorization results 素因数分解の結果
#
# N = 7x10^205+83 = 7(203)87
#
n: 9406460451499326868626469973960358663626131820368495368095575076245852158225610732515090877045392526945086492867886601872169161631345912444664042828932085048967501925640974649179
m: 100000000000000000000000000000000000000000
deg: 5
c5: 7
c0: 83
skew: 1.64
# Murphy_E = 8.263e-12
type: snfs
lss: 1
rlim: 18900000
alim: 18900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 9406460451499326868626469973960358663626131820368495368095575076245852158225610732515090877045392526945086492867886601872169161631345912444664042828932085048967501925640974649179 (178 dig
its)
Using B1=49830000, B2=288591693406, polynomial Dickson(12), sigma=1:1231879839
Step 1 took 132695ms
Step 2 took 43804ms
********** Factor found in step 2: 259820792120010860707501174490662164988986917
Found prime factor of 45 digits: 259820792120010860707501174490662164988986917
Composite cofactor 36203647809504390758136895061229945197578152108606777906563997239515777203313539204886726260957496351584131033250232863180718977212287 has 134 digits


CADO

STA:Sat 10 Jul 2021 23:11:37 AEST (36,203,647,809,504,390,758,136,895,061,229,945,197,578,152,108,606,777,906,563,997,239,515,777,203,313,539,204,886,726,260,957,496,351,584,131,033,250,232,863,180,718,9
77,212,287 - C134)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors 36203647809504390758136895061229945197578152108606777906563997239515777203313539204886726260957496351584131033250232863180718977212287 2>&1 | tee -a log23
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c135
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.j5ww0mec
Info:Database: Opened connection to database /tmp/cado.j5ww0mec/c135.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors 3620364780950439075813689506122994519757815210860677790656399723951577720331353920488672626095749635158
4131033250232863180718977212287
Info:root: If this computation gets interrupted, it can be resumed with /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py /tmp/cado.j5ww0mec/c135.parameters_snapshot.0
Info:Server Launcher: Adding linux-6 to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,linux-6
Info:Complete Factorization: Factoring 36203647809504390758136895061229945197578152108606777906563997239515777203313539204886726260957496351584131033250232863180718977212287
...
n: 36203647809504390758136895061229945197578152108606777906563997239515777203313539204886726260957496351584131033250232863180718977212287
skew: 139918.049
c0: -9918999830717482600588964277840
c1: -1308630889562949086681425187
c2: -51941080291902758070
c3: 49911088934424341
c4: -137980235736
c5: 811440
Y0: -48503073914068286527931714
Y1: 791165472850530929
# MurphyE (Bf=1.64e+07,Bg=3.34e+06,area=5.51e+14) = 4.18e-10
# f(x) = 811440*x^5-137980235736*x^4+49911088934424341*x^3-51941080291902758070*x^2-1308630889562949086681425187*x-9918999830717482600588964277840
# g(x) = 791165472850530929*x-48503073914068286527931714
...
Info:Square Root: Factors: 80090107503087677798432798612249283384093551023116206472079273248906728477 452036449172060954593498656771576334490636417674205450483531
Info:Square Root: Total cpu/real time for sqrt: 1090.14/153.444
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 35600.4
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 36149/39.580/48.004/53.510/0.998
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 36149/38.030/42.941/48.590/1.254
Info:Polynomial Selection (size optimized): Total time: 8957.69
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2706.74
Info:Polynomial Selection (root optimized): Rootsieve time: 2705.75
Info:Generate Factor Base: Total cpu/real time for makefb: 21.43/1.95071
Info:Generate Free Relations: Total cpu/real time for freerel: 308.2/20.6905
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 19126326
Info:Lattice Sieving: Average J: 3789.15 for 619977 special-q, max bucket fill: 0.759187
Info:Lattice Sieving: Total CPU time: 486977s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 52.44/67.1452
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 67.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 307.96/92.7644
Info:Filtering - Singleton removal: Total cpu/real time for purge: 240.1/86.9794
Info:Filtering - Merging: Total cpu/real time for merge: 472.58/391.564
Info:Filtering - Merging: Total cpu/real time for replay: 37.63/29.7988
Info:Linear Algebra: Total cpu/real time for bwc: 32918/0.000241756
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1370.85
Info:Linear Algebra: Lingen CPU time 267.75, WCT time 26.35
Info:Linear Algebra: Mksol: WCT time 780.92
Info:Quadratic Characters: Total cpu/real time for characters: 39.73/9.89188
Info:Square Root: Total cpu/real time for sqrt: 1090.14/153.444
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 534130/35453
Info:root: Cleaning up computation data in /tmp/cado.j5ww0mec
80090107503087677798432798612249283384093551023116206472079273248906728477 452036449172060954593498656771576334490636417674205450483531

END:Sun 11 Jul 2021 09:02:31 AEST (36,203,647,809,504,390,758,136,895,061,229,945,197,578,152,108,606,777,906,563,997,239,515,777,203,313,539,204,886,726,260,957,496,351,584,131,033,250,232,863,180,718,9
77,212,287 - C134)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:15 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 15 秒 (日本時間)
4511e61385585CypJune 27, 2015 20:40:55 UTC 2015 年 6 月 28 日 (日) 5 時 40 分 55 秒 (日本時間)
800Dmitry DomanovNovember 11, 2018 01:29:59 UTC 2018 年 11 月 11 日 (日) 10 時 29 分 59 秒 (日本時間)
5043e61700 / 7231300Dmitry DomanovFebruary 14, 2019 00:11:21 UTC 2019 年 2 月 14 日 (木) 9 時 11 分 21 秒 (日本時間)
600Dmitry DomanovFebruary 25, 2019 23:32:42 UTC 2019 年 2 月 26 日 (火) 8 時 32 分 42 秒 (日本時間)
800Dmitry DomanovMarch 18, 2019 12:59:53 UTC 2019 年 3 月 18 日 (月) 21 時 59 分 53 秒 (日本時間)

7×10208+839

c161

composite cofactor 合成数の残り
57264666649836881051633941332895294270356886299414940740012519260876344757755492707840762208928380344379104290581732845794537200682178189490678319835838866378527<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:15 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 15 秒 (日本時間)
4511e61385585CypMay 30, 2015 16:14:02 UTC 2015 年 5 月 31 日 (日) 1 時 14 分 2 秒 (日本時間)
800Dmitry DomanovNovember 10, 2018 09:38:37 UTC 2018 年 11 月 10 日 (土) 18 時 38 分 37 秒 (日本時間)
5043e61700 / 7231300Dmitry DomanovFebruary 13, 2019 14:41:34 UTC 2019 年 2 月 13 日 (水) 23 時 41 分 34 秒 (日本時間)
600Dmitry DomanovFebruary 25, 2019 06:14:58 UTC 2019 年 2 月 25 日 (月) 15 時 14 分 58 秒 (日本時間)
800Dmitry DomanovMarch 19, 2019 10:45:29 UTC 2019 年 3 月 19 日 (火) 19 時 45 分 29 秒 (日本時間)

7×10209+839

c204

name 名前Bob Backstrom
date 日付November 2, 2019 19:16:55 UTC 2019 年 11 月 3 日 (日) 4 時 16 分 55 秒 (日本時間)
composite number 合成数
249722362245118195377781773335573699668903822286151146956972480238934356196129089337461600727476915843207177163389417408431269092612392008456312678083259576049913078780627109930994576387038267811536673691<204>
prime factors 素因数
3881088053805684370067735673913109074846161280071839048909<58>
64343389993496169653342612504737154577268790606234742333661104938473573371162786064500825743810126838284909685354564063890337500424128348720251399<146>
factorization results 素因数分解の結果
Number: n
N=249722362245118195377781773335573699668903822286151146956972480238934356196129089337461600727476915843207177163389417408431269092612392008456312678083259576049913078780627109930994576387038267811536673691
  ( 204 digits)
SNFS difficulty: 210 digits.
Divisors found:

Sun Nov  3 06:13:45 2019  p58 factor: 3881088053805684370067735673913109074846161280071839048909
Sun Nov  3 06:13:45 2019  p146 factor: 64343389993496169653342612504737154577268790606234742333661104938473573371162786064500825743810126838284909685354564063890337500424128348720251399
Sun Nov  3 06:13:45 2019  elapsed time 02:42:57 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.131).
Factorization parameters were as follows:
#
# N = 7x10^209+83 = 7(207)87
#
n: 249722362245118195377781773335573699668903822286151146956972480238934356196129089337461600727476915843207177163389417408431269092612392008456312678083259576049913078780627109930994576387038267811536673691
m: 100000000000000000000000000000000000
deg: 6
c6: 7
c0: 830
skew: 2.22
# Murphy_E = 5.297e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 51500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10025504 hash collisions in 66212645 relations (59204007 unique)
Msieve: matrix is 2549260 x 2549487 (894.6 MB)

Sieving start time: 2019/11/02 06:20:31
Sieving end time  : 2019/11/03 03:29:39

Total sieving time: 21hrs 9min 8secs.

Total relation processing time: 2hrs 19min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 6sec.

Prototype def-par.txt line would be:
snfs,210,6,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:16 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 16 秒 (日本時間)
4511e61385585CypJune 9, 2015 06:13:42 UTC 2015 年 6 月 9 日 (火) 15 時 13 分 42 秒 (日本時間)
800Dmitry DomanovJanuary 14, 2019 21:29:53 UTC 2019 年 1 月 15 日 (火) 6 時 29 分 53 秒 (日本時間)
5043e61700 / 7231300Dmitry DomanovFebruary 15, 2019 10:03:35 UTC 2019 年 2 月 15 日 (金) 19 時 3 分 35 秒 (日本時間)
600Dmitry DomanovMarch 1, 2019 06:15:26 UTC 2019 年 3 月 1 日 (金) 15 時 15 分 26 秒 (日本時間)
800Dmitry DomanovMarch 19, 2019 22:34:52 UTC 2019 年 3 月 20 日 (水) 7 時 34 分 52 秒 (日本時間)

7×10211+839

c187

composite cofactor 合成数の残り
6902160330186765730594774457746751381860030554783153347384911529737394777802559585957027018061640432871925489835422173966627656000188719782222400406268282818096112084548768927118873060619<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:16 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 16 秒 (日本時間)
4511e61388538CypAugust 4, 2015 18:16:35 UTC 2015 年 8 月 5 日 (水) 3 時 16 分 35 秒 (日本時間)
150Dmitry DomanovJanuary 13, 2017 08:35:35 UTC 2017 年 1 月 13 日 (金) 17 時 35 分 35 秒 (日本時間)
700Dmitry DomanovNovember 26, 2018 14:56:28 UTC 2018 年 11 月 26 日 (月) 23 時 56 分 28 秒 (日本時間)
5043e61700 / 7230300Dmitry DomanovFebruary 14, 2019 00:10:49 UTC 2019 年 2 月 14 日 (木) 9 時 10 分 49 秒 (日本時間)
600Dmitry DomanovFebruary 27, 2019 20:46:43 UTC 2019 年 2 月 28 日 (木) 5 時 46 分 43 秒 (日本時間)
800Dmitry DomanovMarch 20, 2019 22:57:27 UTC 2019 年 3 月 21 日 (木) 7 時 57 分 27 秒 (日本時間)

7×10212+839

c133

name 名前Cyp
date 日付March 13, 2015 15:49:58 UTC 2015 年 3 月 14 日 (土) 0 時 49 分 58 秒 (日本時間)
composite number 合成数
4568402871928651940506239036548034606045425962545448704447459790747125583858446439277575848302630789349120485587779778248573400491737<133>
prime factors 素因数
54412071899024509836063701435929220261599<41>
83959362554811177349209136051571751166024261562333270592743927764683229536585395590038389063<92>
factorization results 素因数分解の結果
03/12/15 18:22:06 v1.34.3, 
03/12/15 18:22:06 v1.34.3, ****************************
03/12/15 18:22:06 v1.34.3, Starting factorization of 4568402871928651940506239036548034606045425962545448704447459790747125583858446439277575848302630789349120485587779778248573400491737
03/12/15 18:22:06 v1.34.3, using pretesting plan: none
03/12/15 18:22:06 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
03/12/15 18:22:06 v1.34.3, ****************************
03/12/15 18:22:06 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C133
03/12/15 18:22:06 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C133
03/12/15 18:22:06 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C133
03/12/15 18:22:06 v1.34.3, final ECM pretested depth: 0.00
03/12/15 18:22:06 v1.34.3, scheduler: switching to sieve method
03/12/15 18:22:06 v1.34.3, nfs: commencing nfs on c133: 4568402871928651940506239036548034606045425962545448704447459790747125583858446439277575848302630789349120485587779778248573400491737
03/12/15 18:22:06 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
03/12/15 18:22:06 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/12/15 18:54:53 v1.34.3, nfs: commencing lattice sieving with 8 threads
[35 lines snipped]
03/13/15 14:50:59 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/13/15 15:25:51 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/13/15 15:58:36 v1.34.3, nfs: commencing msieve filtering
03/13/15 16:03:05 v1.34.3, nfs: commencing msieve linear algebra
03/13/15 16:46:57 v1.34.3, nfs: commencing msieve sqrt
03/13/15 16:49:56 v1.34.3, prp92 = 83959362554811177349209136051571751166024261562333270592743927764683229536585395590038389063
03/13/15 16:49:56 v1.34.3, prp41 = 54412071899024509836063701435929220261599
03/13/15 16:49:56 v1.34.3, NFS elapsed time = 80870.0346 seconds.
03/13/15 16:49:56 v1.34.3, 
03/13/15 16:49:56 v1.34.3, 
03/13/15 16:49:56 v1.34.3, Total factoring time = 80870.0611 seconds
--
Fri Mar 13 15:58:36 2015  
Fri Mar 13 15:58:36 2015  commencing relation filtering
Fri Mar 13 15:58:36 2015  estimated available RAM is 15987.3 MB
Fri Mar 13 15:58:36 2015  commencing duplicate removal, pass 1
Fri Mar 13 15:59:50 2015  found 2629572 hash collisions in 21528404 relations
Fri Mar 13 16:00:10 2015  added 119903 free relations
Fri Mar 13 16:00:10 2015  commencing duplicate removal, pass 2
Fri Mar 13 16:00:30 2015  found 1486389 duplicates and 20161918 unique relations
Fri Mar 13 16:00:30 2015  memory use: 82.6 MB
Fri Mar 13 16:00:30 2015  reading ideals above 720000
Fri Mar 13 16:00:30 2015  commencing singleton removal, initial pass
Fri Mar 13 16:02:04 2015  memory use: 689.0 MB
Fri Mar 13 16:02:04 2015  reading all ideals from disk
Fri Mar 13 16:02:05 2015  memory use: 636.1 MB
Fri Mar 13 16:02:05 2015  keeping 20495538 ideals with weight <= 200, target excess is 127724
Fri Mar 13 16:02:06 2015  commencing in-memory singleton removal
Fri Mar 13 16:02:07 2015  begin with 20161918 relations and 20495538 unique ideals
Fri Mar 13 16:02:17 2015  reduce to 9585138 relations and 8397467 ideals in 15 passes
Fri Mar 13 16:02:17 2015  max relations containing the same ideal: 121
Fri Mar 13 16:02:20 2015  removing 2017297 relations and 1617297 ideals in 400000 cliques
Fri Mar 13 16:02:21 2015  commencing in-memory singleton removal
Fri Mar 13 16:02:21 2015  begin with 7567841 relations and 8397467 unique ideals
Fri Mar 13 16:02:24 2015  reduce to 7229684 relations and 6424516 ideals in 9 passes
Fri Mar 13 16:02:24 2015  max relations containing the same ideal: 98
Fri Mar 13 16:02:26 2015  removing 1593617 relations and 1193617 ideals in 400000 cliques
Fri Mar 13 16:02:27 2015  commencing in-memory singleton removal
Fri Mar 13 16:02:27 2015  begin with 5636067 relations and 6424516 unique ideals
Fri Mar 13 16:02:29 2015  reduce to 5355828 relations and 4934843 ideals in 8 passes
Fri Mar 13 16:02:29 2015  max relations containing the same ideal: 78
Fri Mar 13 16:02:31 2015  removing 1115024 relations and 842199 ideals in 272825 cliques
Fri Mar 13 16:02:31 2015  commencing in-memory singleton removal
Fri Mar 13 16:02:31 2015  begin with 4240804 relations and 4934843 unique ideals
Fri Mar 13 16:02:33 2015  reduce to 4057465 relations and 3900412 ideals in 9 passes
Fri Mar 13 16:02:33 2015  max relations containing the same ideal: 65
Fri Mar 13 16:02:34 2015  removing 74633 relations and 65740 ideals in 8893 cliques
Fri Mar 13 16:02:34 2015  commencing in-memory singleton removal
Fri Mar 13 16:02:34 2015  begin with 3982832 relations and 3900412 unique ideals
Fri Mar 13 16:02:35 2015  reduce to 3982033 relations and 3833872 ideals in 6 passes
Fri Mar 13 16:02:35 2015  max relations containing the same ideal: 65
Fri Mar 13 16:02:36 2015  relations with 0 large ideals: 440
Fri Mar 13 16:02:36 2015  relations with 1 large ideals: 1525
Fri Mar 13 16:02:36 2015  relations with 2 large ideals: 23954
Fri Mar 13 16:02:36 2015  relations with 3 large ideals: 155544
Fri Mar 13 16:02:36 2015  relations with 4 large ideals: 526047
Fri Mar 13 16:02:36 2015  relations with 5 large ideals: 1003005
Fri Mar 13 16:02:36 2015  relations with 6 large ideals: 1133187
Fri Mar 13 16:02:36 2015  relations with 7+ large ideals: 1138331
Fri Mar 13 16:02:36 2015  commencing 2-way merge
Fri Mar 13 16:02:37 2015  reduce to 2352617 relation sets and 2204456 unique ideals
Fri Mar 13 16:02:37 2015  commencing full merge
Fri Mar 13 16:02:57 2015  memory use: 262.2 MB
Fri Mar 13 16:02:57 2015  found 1222787 cycles, need 1202656
Fri Mar 13 16:02:57 2015  weight of 1202656 cycles is about 84252058 (70.05/cycle)
Fri Mar 13 16:02:57 2015  distribution of cycle lengths:
Fri Mar 13 16:02:57 2015  1 relations: 138553
Fri Mar 13 16:02:57 2015  2 relations: 135806
Fri Mar 13 16:02:57 2015  3 relations: 138856
Fri Mar 13 16:02:57 2015  4 relations: 131645
Fri Mar 13 16:02:57 2015  5 relations: 123870
Fri Mar 13 16:02:57 2015  6 relations: 109039
Fri Mar 13 16:02:57 2015  7 relations: 95482
Fri Mar 13 16:02:57 2015  8 relations: 80567
Fri Mar 13 16:02:57 2015  9 relations: 65491
Fri Mar 13 16:02:57 2015  10+ relations: 183347
Fri Mar 13 16:02:57 2015  heaviest cycle: 18 relations
Fri Mar 13 16:02:57 2015  commencing cycle optimization
Fri Mar 13 16:02:58 2015  start with 6712418 relations
Fri Mar 13 16:03:03 2015  pruned 146843 relations
Fri Mar 13 16:03:03 2015  memory use: 229.4 MB
Fri Mar 13 16:03:03 2015  distribution of cycle lengths:
Fri Mar 13 16:03:03 2015  1 relations: 138553
Fri Mar 13 16:03:03 2015  2 relations: 138585
Fri Mar 13 16:03:03 2015  3 relations: 143329
Fri Mar 13 16:03:03 2015  4 relations: 134640
Fri Mar 13 16:03:03 2015  5 relations: 126976
Fri Mar 13 16:03:03 2015  6 relations: 110857
Fri Mar 13 16:03:03 2015  7 relations: 96518
Fri Mar 13 16:03:03 2015  8 relations: 80237
Fri Mar 13 16:03:03 2015  9 relations: 64793
Fri Mar 13 16:03:03 2015  10+ relations: 168168
Fri Mar 13 16:03:03 2015  heaviest cycle: 18 relations
Fri Mar 13 16:03:05 2015  RelProcTime: 269
Fri Mar 13 16:03:05 2015  
Fri Mar 13 16:03:05 2015  commencing linear algebra
Fri Mar 13 16:03:05 2015  read 1202656 cycles
Fri Mar 13 16:03:06 2015  cycles contain 3871680 unique relations
Fri Mar 13 16:03:32 2015  read 3871680 relations
Fri Mar 13 16:03:35 2015  using 20 quadratic characters above 268431750
Fri Mar 13 16:03:47 2015  building initial matrix
Fri Mar 13 16:04:10 2015  memory use: 504.7 MB
Fri Mar 13 16:04:11 2015  read 1202656 cycles
Fri Mar 13 16:04:11 2015  matrix is 1202477 x 1202656 (361.5 MB) with weight 115103357 (95.71/col)
Fri Mar 13 16:04:11 2015  sparse part has weight 81531977 (67.79/col)
Fri Mar 13 16:04:18 2015  filtering completed in 2 passes
Fri Mar 13 16:04:18 2015  matrix is 1201495 x 1201674 (361.4 MB) with weight 115064523 (95.75/col)
Fri Mar 13 16:04:18 2015  sparse part has weight 81521253 (67.84/col)
Fri Mar 13 16:04:21 2015  matrix starts at (0, 0)
Fri Mar 13 16:04:21 2015  matrix is 1201495 x 1201674 (361.4 MB) with weight 115064523 (95.75/col)
Fri Mar 13 16:04:21 2015  sparse part has weight 81521253 (67.84/col)
Fri Mar 13 16:04:21 2015  saving the first 48 matrix rows for later
Fri Mar 13 16:04:22 2015  matrix includes 64 packed rows
Fri Mar 13 16:04:22 2015  matrix is 1201447 x 1201674 (350.1 MB) with weight 91192135 (75.89/col)
Fri Mar 13 16:04:22 2015  sparse part has weight 79755701 (66.37/col)
Fri Mar 13 16:04:22 2015  using block size 65536 for processor cache size 8192 kB
Fri Mar 13 16:04:24 2015  commencing Lanczos iteration (8 threads)
Fri Mar 13 16:04:24 2015  memory use: 338.5 MB
Fri Mar 13 16:04:28 2015  linear algebra at 0.1%, ETA 0h39m
Fri Mar 13 16:04:29 2015  checkpointing every 1830000 dimensions
Fri Mar 13 16:46:56 2015  lanczos halted after 19000 iterations (dim = 1201446)
Fri Mar 13 16:46:57 2015  recovered 27 nontrivial dependencies
Fri Mar 13 16:46:57 2015  BLanczosTime: 2632
Fri Mar 13 16:46:57 2015  
Fri Mar 13 16:46:57 2015  commencing square root phase
Fri Mar 13 16:46:57 2015  reading relations for dependency 1
Fri Mar 13 16:46:58 2015  read 601455 cycles
Fri Mar 13 16:46:58 2015  cycles contain 1936462 unique relations
Fri Mar 13 16:47:19 2015  read 1936462 relations
Fri Mar 13 16:47:24 2015  multiplying 1936462 relations
Fri Mar 13 16:48:34 2015  multiply complete, coefficients have about 83.24 million bits
Fri Mar 13 16:48:34 2015  initial square root is modulo 944689
Fri Mar 13 16:49:56 2015  sqrtTime: 179
--
# Murphy_E = 5.559e-11, selected by Erik Branger
# expecting poly E from 5.73e-011 to > 6.59e-011
n: 4568402871928651940506239036548034606045425962545448704447459790747125583858446439277575848302630789349120485587779778248573400491737
Y0: -106337047001326601138397481
Y1: 71863054886431
c0: -129866800349845674701800721942572800
c1: 265385737012319986948592514804
c2: -105133598015708236243504
c3: -32106881088899105
c4: 2449852706
c5: 336
skew: 4729898.78
type: gnfs
# selected mechanically
rlim: 11500000
alim: 11500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovJanuary 9, 2015 00:08:17 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 17 秒 (日本時間)
2350Ignacio SantosFebruary 5, 2015 22:25:07 UTC 2015 年 2 月 6 日 (金) 7 時 25 分 7 秒 (日本時間)

7×10213+839

c202

name 名前Serge Batalov
date 日付June 20, 2015 04:18:40 UTC 2015 年 6 月 20 日 (土) 13 時 18 分 40 秒 (日本時間)
composite number 合成数
4031326570075863215724684385545412922488170251564066431344179355379760431585969982814141016029266534419258959024400775582131213460701978117034299905718425112327747419983241012801834109660429336213495661<202>
prime factors 素因数
34769214780610894222396856189635428861047<41>
composite cofactor 合成数の残り
115945286527550189043149162732585409206610592040147014606661616249364943866305156253793579251483168733035258830260933754760006644074843742967792609079981567535163<162>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=551906410
Step 1 took 18077ms
********** Factor found in step 1: 34769214780610894222396856189635428861047
Found probable prime factor of 41 digits: 34769214780610894222396856189635428861047
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:17 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 17 秒 (日本時間)
4511e61385585CypJune 22, 2015 06:22:19 UTC 2015 年 6 月 22 日 (月) 15 時 22 分 19 秒 (日本時間)
800Dmitry DomanovNovember 15, 2018 14:12:52 UTC 2018 年 11 月 15 日 (木) 23 時 12 分 52 秒 (日本時間)
5043e61700 / 7231300Dmitry DomanovFebruary 14, 2019 01:01:11 UTC 2019 年 2 月 14 日 (木) 10 時 1 分 11 秒 (日本時間)
600Dmitry DomanovFebruary 27, 2019 20:45:15 UTC 2019 年 2 月 28 日 (木) 5 時 45 分 15 秒 (日本時間)
800Dmitry DomanovMarch 19, 2019 21:33:38 UTC 2019 年 3 月 20 日 (水) 6 時 33 分 38 秒 (日本時間)

7×10215+839

c157

composite cofactor 合成数の残り
9587552312829360110832764660179673391892909313189068010165273182760575533461255538750263509117623512176911055467972326950807548708315785920513451788861890431<157>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:19 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 19 秒 (日本時間)
4511e61385585CypJuly 4, 2015 06:00:59 UTC 2015 年 7 月 4 日 (土) 15 時 0 分 59 秒 (日本時間)
800Dmitry DomanovNovember 10, 2018 17:55:19 UTC 2018 年 11 月 11 日 (日) 2 時 55 分 19 秒 (日本時間)
5043e61700 / 7231300Dmitry DomanovFebruary 14, 2019 01:01:35 UTC 2019 年 2 月 14 日 (木) 10 時 1 分 35 秒 (日本時間)
600Dmitry DomanovFebruary 27, 2019 20:45:49 UTC 2019 年 2 月 28 日 (木) 5 時 45 分 49 秒 (日本時間)
800Dmitry DomanovMarch 20, 2019 14:37:48 UTC 2019 年 3 月 20 日 (水) 23 時 37 分 48 秒 (日本時間)

7×10216+839

c193

composite cofactor 合成数の残り
4461630521863691317577584186865505083209701040418069739056485838915805857293703130782324403389369418683136547017746805493562232196822620969129831136423979534926898272685861467084422503776340851<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:08:19 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 19 秒 (日本時間)
1CypJanuary 9, 2015 00:10:24 UTC 2015 年 1 月 9 日 (金) 9 時 10 分 24 秒 (日本時間)
4511e61385585CypJuly 6, 2015 19:20:58 UTC 2015 年 7 月 7 日 (火) 4 時 20 分 58 秒 (日本時間)
800Dmitry DomanovNovember 26, 2018 22:55:10 UTC 2018 年 11 月 27 日 (火) 7 時 55 分 10 秒 (日本時間)
5043e61700 / 7231300Dmitry DomanovFebruary 14, 2019 11:19:18 UTC 2019 年 2 月 14 日 (木) 20 時 19 分 18 秒 (日本時間)
600Dmitry DomanovFebruary 27, 2019 20:46:14 UTC 2019 年 2 月 28 日 (木) 5 時 46 分 14 秒 (日本時間)
800Dmitry DomanovMarch 20, 2019 22:56:56 UTC 2019 年 3 月 21 日 (木) 7 時 56 分 56 秒 (日本時間)

7×10217+839

c214

name 名前Bob Backstrom
date 日付November 9, 2017 08:15:29 UTC 2017 年 11 月 9 日 (木) 17 時 15 分 29 秒 (日本時間)
composite number 合成数
1080396968714790634501705483786328348073034835085119846892315290703955796329737154851754101649920513651587411831890231667978577271534626722847309039835779660755351823555740766464478091092898705067061783272368075813<214>
prime factors 素因数
234854510614440980002844258635443973291916404156433987050691101<63>
4600281961322304936351539304660075759455274721204773423637993101918657130714963441357856864162417791449902422101182381779078175603566088503673788441513<151>
factorization results 素因数分解の結果
Number: n
N=1080396968714790634501705483786328348073034835085119846892315290703955796329737154851754101649920513651587411831890231667978577271534626722847309039835779660755351823555740766464478091092898705067061783272368075813
  ( 214 digits)
SNFS difficulty: 217 digits.
Divisors found:

Thu Nov  9 19:09:31 2017  p63 factor: 234854510614440980002844258635443973291916404156433987050691101
Thu Nov  9 19:09:31 2017  p151 factor: 4600281961322304936351539304660075759455274721204773423637993101918657130714963441357856864162417791449902422101182381779078175603566088503673788441513
Thu Nov  9 19:09:31 2017  elapsed time 06:14:03 (Msieve 1.53 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.709).
Factorization parameters were as follows:
#
# 7x10^217+83 7(215)87
#
n: 1080396968714790634501705483786328348073034835085119846892315290703955796329737154851754101649920513651587411831890231667978577271534626722847309039835779660755351823555740766464478091092898705067061783272368075813
m: 1000000000000000000000000000000000000
deg: 6
c6: 70
c0: 83
skew: 1.03
# Murphy_E = 2.797e-12
type: snfs
lss: 1
rlim: 30000000
alim: 30000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 30000000/30000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 46200000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 12442599 hash collisions in 71278401 relations (60110738 unique)
Msieve: matrix is 3880461 x 3880686 (1103.7 MB)

Sieving start time: 2017/11/08 11:08:22
Sieving end time  : 2017/11/09 12:54:00

Total sieving time: 25hrs 45min 38secs.

Total relation processing time: 5hrs 41min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 40sec.

Prototype def-par.txt line would be:
snfs,217,6,0,0,0,0,0,0,0,0,30000000,30000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.068000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16297368K/16703460K available (9281K kernel code, 2477K rwdata, 3992K rodata, 2324K init, 2384K bss, 406092K reserved, 0K cma-reserved)
[    0.100635] x86/mm: Memory block size: 128MB
[    0.008000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.86 BogoMIPS (lpj=11977728)
[    0.098232] smpboot: Total of 16 processors activated (95821.82 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:08:20 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 20 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:09:06 UTC 2015 年 1 月 11 日 (日) 5 時 9 分 6 秒 (日本時間)

7×10218+839

c171

composite cofactor 合成数の残り
817026442646141074403350740121348891545483498591000768124350499577429995469518419345307758751440558960599480017852118522349760838697638503147215961698656666673115527026513<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:20 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 20 秒 (日本時間)
4511e61385585CypJune 10, 2015 15:16:30 UTC 2015 年 6 月 11 日 (木) 0 時 16 分 30 秒 (日本時間)
800Dmitry DomanovNovember 26, 2018 16:02:00 UTC 2018 年 11 月 27 日 (火) 1 時 2 分 0 秒 (日本時間)
5043e61900 / 7231300Dmitry DomanovFebruary 14, 2019 00:11:58 UTC 2019 年 2 月 14 日 (木) 9 時 11 分 58 秒 (日本時間)
600Dmitry DomanovFebruary 28, 2019 15:53:35 UTC 2019 年 3 月 1 日 (金) 0 時 53 分 35 秒 (日本時間)
1000Dmitry DomanovMarch 6, 2019 09:14:22 UTC 2019 年 3 月 6 日 (水) 18 時 14 分 22 秒 (日本時間)

7×10220+839

c167

name 名前Erik Branger
date 日付March 13, 2018 19:13:01 UTC 2018 年 3 月 14 日 (水) 4 時 13 分 1 秒 (日本時間)
composite number 合成数
63577021904850160122804614884630416789784671444109280260048334050935629972730249884212017537421070494678272993572649887342387160909823125613348730726564978131657808483<167>
prime factors 素因数
8469281372615530842059981973786890068733843499617<49>
61235501977175249827412003248483140518817762978437<50>
122588670999870201629528895136547163883099778324114474730734040159527<69>
factorization results 素因数分解の結果
Number: 77787_220
N = 63577021904850160122804614884630416789784671444109280260048334050935629972730249884212017537421070494678272993572649887342387160909823125613348730726564978131657808483 (167 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=8469281372615530842059981973786890068733843499617 (pp49)
r2=61235501977175249827412003248483140518817762978437 (pp50)
r3=122588670999870201629528895136547163883099778324114474730734040159527 (pp69)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 65.18 hours.
Factorization parameters were as follows:
n: 63577021904850160122804614884630416789784671444109280260048334050935629972730249884212017537421070494678272993572649887342387160909823125613348730726564978131657808483
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 7
c0: 83
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 27
mfbr: 58
mfba: 54
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/27
Total raw relations: 30857260
Relations: 7533100 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 34.54 hours.
Total relation processing time: 0.41 hours.
Pruned matrix : 6568902 x 6569148
Matrix solve time: 29.91 hours.
time per square root: 0.32 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,536870912,29,27,58,54,2.8,2.8,100000
total time: 65.18 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.16299-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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:08:21 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 21 秒 (日本時間)
1CypJanuary 9, 2015 00:12:42 UTC 2015 年 1 月 9 日 (金) 9 時 12 分 42 秒 (日本時間)
4511e6585 / 4409CypFebruary 3, 2015 01:57:04 UTC 2015 年 2 月 3 日 (火) 10 時 57 分 4 秒 (日本時間)

7×10221+839

c172

name 名前Erik Branger
date 日付October 31, 2019 16:30:35 UTC 2019 年 11 月 1 日 (金) 1 時 30 分 35 秒 (日本時間)
composite number 合成数
5602235389193185189770188824866290526676608097204446882683521879452553368268989797600439508871658593557574208662234494409463313288069435819594844172996213166784416370203471<172>
prime factors 素因数
61775277778926119370448072104276110729945794845479136113<56>
90687336271344445317322984009354321280095859614910363315351268176949583998955047679919643635475110267263729323250367<116>
factorization results 素因数分解の結果
Number: 77787_221
N = 5602235389193185189770188824866290526676608097204446882683521879452553368268989797600439508871658593557574208662234494409463313288069435819594844172996213166784416370203471 (172 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=61775277778926119370448072104276110729945794845479136113 (pp56)
r2=90687336271344445317322984009354321280095859614910363315351268176949583998955047679919643635475110267263729323250367 (pp116)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 93.50 hours.
Factorization parameters were as follows:
n: 5602235389193185189770188824866290526676608097204446882683521879452553368268989797600439508871658593557574208662234494409463313288069435819594844172996213166784416370203471
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 70
c0: 83
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 22369622
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/22369622
Large primes per side: 3
Large prime bits: 29/28
Relations: 8339836 relations
Pruned matrix : 7190847 x 7191072
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 42.81 hours.
Total relation processing time: 0.43 hours.
Matrix solve time: 50.01 hours.
time per square root: 0.25 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,22369622,29,28,58,56,2.8,2.8,100000
total time: 93.50 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:22 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 22 秒 (日本時間)
4511e61385585CypAugust 4, 2015 17:03:05 UTC 2015 年 8 月 5 日 (水) 2 時 3 分 5 秒 (日本時間)
800Dmitry DomanovNovember 28, 2018 23:26:39 UTC 2018 年 11 月 29 日 (木) 8 時 26 分 39 秒 (日本時間)
5043e61900 / 7231300Dmitry DomanovFebruary 16, 2019 00:57:36 UTC 2019 年 2 月 16 日 (土) 9 時 57 分 36 秒 (日本時間)
600Dmitry DomanovFebruary 28, 2019 15:53:09 UTC 2019 年 3 月 1 日 (金) 0 時 53 分 9 秒 (日本時間)
1000Dmitry DomanovMarch 6, 2019 09:13:27 UTC 2019 年 3 月 6 日 (水) 18 時 13 分 27 秒 (日本時間)

7×10222+839

c133

name 名前Serge Batalov
date 日付January 8, 2015 23:09:23 UTC 2015 年 1 月 9 日 (金) 8 時 9 分 23 秒 (日本時間)
composite number 合成数
3196320408501792214804902065497108554297236653302569294135608032777802899717985821588150208624535065839832604801931586459036968214067<133>
prime factors 素因数
41735616865631084030132043436109<32>
composite cofactor 合成数の残り
76584956652070815671491941334390003068563584066389524505643723029321113297772032067756202559450228863<101>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1223089265
Step 1 took 7583ms
Step 2 took 3579ms
********** Factor found in step 2: 41735616865631084030132043436109
Found probable prime factor of 32 digits: 41735616865631084030132043436109
Composite cofactor

c101

name 名前Cyp
date 日付January 9, 2015 22:38:37 UTC 2015 年 1 月 10 日 (土) 7 時 38 分 37 秒 (日本時間)
composite number 合成数
76584956652070815671491941334390003068563584066389524505643723029321113297772032067756202559450228863<101>
prime factors 素因数
19402405221720001042839320133160133723556886862473<50>
3947188803496273273545962103589934002308891686111431<52>
factorization results 素因数分解の結果
01/09/15 23:07:14 v1.34.3, 
01/09/15 23:07:14 v1.34.3, ****************************
01/09/15 23:07:14 v1.34.3, Starting factorization of 76584956652070815671491941334390003068563584066389524505643723029321113297772032067756202559450228863
01/09/15 23:07:14 v1.34.3, using pretesting plan: none
01/09/15 23:07:14 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/09/15 23:07:14 v1.34.3, ****************************
01/09/15 23:07:14 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C101
01/09/15 23:07:14 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C101
01/09/15 23:07:14 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C101
01/09/15 23:07:14 v1.34.3, final ECM pretested depth: 0.00
01/09/15 23:07:14 v1.34.3, scheduler: switching to sieve method
01/09/15 23:07:14 v1.34.3, nfs: commencing nfs on c101: 76584956652070815671491941334390003068563584066389524505643723029321113297772032067756202559450228863
01/09/15 23:07:14 v1.34.3, nfs: commencing poly selection with 8 threads
01/09/15 23:07:14 v1.34.3, nfs: setting deadline of 176 seconds
01/09/15 23:11:13 v1.34.3, nfs: completed 43 ranges of size 250 in 239.3333 seconds
01/09/15 23:11:13 v1.34.3, nfs: best poly = # norm 8.095196e-14 alpha -4.880900 e 1.003e-08 rroots 4
01/09/15 23:11:13 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 23:12:41 v1.34.3, nfs: commencing lattice sieving with 8 threads
[11 lines snipped]
01/09/15 23:29:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 23:31:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 23:32:39 v1.34.3, nfs: commencing msieve filtering
01/09/15 23:33:20 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 23:34:44 v1.34.3, nfs: commencing msieve filtering
01/09/15 23:35:37 v1.34.3, nfs: commencing msieve linear algebra
01/09/15 23:38:09 v1.34.3, nfs: commencing msieve sqrt
01/09/15 23:38:36 v1.34.3, prp50 = 19402405221720001042839320133160133723556886862473
01/09/15 23:38:36 v1.34.3, prp52 = 3947188803496273273545962103589934002308891686111431
01/09/15 23:38:37 v1.34.3, NFS elapsed time = 1882.6971 seconds.
01/09/15 23:38:37 v1.34.3, 
01/09/15 23:38:37 v1.34.3, 
01/09/15 23:38:37 v1.34.3, Total factoring time = 1882.7191 seconds
--
Fri Jan  9 23:32:39 2015  
Fri Jan  9 23:32:39 2015  commencing relation filtering
Fri Jan  9 23:32:39 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 23:32:39 2015  commencing duplicate removal, pass 1
Fri Jan  9 23:32:54 2015  found 415215 hash collisions in 4515240 relations
Fri Jan  9 23:32:57 2015  added 155755 free relations
Fri Jan  9 23:32:57 2015  commencing duplicate removal, pass 2
Fri Jan  9 23:33:01 2015  found 179384 duplicates and 4491611 unique relations
Fri Jan  9 23:33:01 2015  memory use: 19.6 MB
Fri Jan  9 23:33:01 2015  reading ideals above 100000
Fri Jan  9 23:33:01 2015  commencing singleton removal, initial pass
Fri Jan  9 23:33:18 2015  memory use: 172.2 MB
Fri Jan  9 23:33:18 2015  reading all ideals from disk
Fri Jan  9 23:33:19 2015  memory use: 139.9 MB
Fri Jan  9 23:33:19 2015  keeping 5295318 ideals with weight <= 200, target excess is 39754
Fri Jan  9 23:33:19 2015  commencing in-memory singleton removal
Fri Jan  9 23:33:19 2015  begin with 4491611 relations and 5295318 unique ideals
Fri Jan  9 23:33:20 2015  reduce to 1117548 relations and 1124462 ideals in 25 passes
Fri Jan  9 23:33:20 2015  max relations containing the same ideal: 77
Fri Jan  9 23:34:44 2015  
Fri Jan  9 23:34:44 2015  commencing relation filtering
Fri Jan  9 23:34:44 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 23:34:44 2015  commencing duplicate removal, pass 1
Fri Jan  9 23:35:00 2015  found 485382 hash collisions in 4975389 relations
Fri Jan  9 23:35:04 2015  added 1347 free relations
Fri Jan  9 23:35:04 2015  commencing duplicate removal, pass 2
Fri Jan  9 23:35:07 2015  found 202055 duplicates and 4774681 unique relations
Fri Jan  9 23:35:07 2015  memory use: 20.6 MB
Fri Jan  9 23:35:07 2015  reading ideals above 100000
Fri Jan  9 23:35:07 2015  commencing singleton removal, initial pass
Fri Jan  9 23:35:26 2015  memory use: 172.2 MB
Fri Jan  9 23:35:27 2015  reading all ideals from disk
Fri Jan  9 23:35:27 2015  memory use: 148.7 MB
Fri Jan  9 23:35:27 2015  keeping 5429210 ideals with weight <= 200, target excess is 42275
Fri Jan  9 23:35:27 2015  commencing in-memory singleton removal
Fri Jan  9 23:35:27 2015  begin with 4774681 relations and 5429210 unique ideals
Fri Jan  9 23:35:29 2015  reduce to 1478938 relations and 1405829 ideals in 20 passes
Fri Jan  9 23:35:29 2015  max relations containing the same ideal: 93
Fri Jan  9 23:35:29 2015  removing 157139 relations and 145104 ideals in 12035 cliques
Fri Jan  9 23:35:29 2015  commencing in-memory singleton removal
Fri Jan  9 23:35:29 2015  begin with 1321799 relations and 1405829 unique ideals
Fri Jan  9 23:35:29 2015  reduce to 1306271 relations and 1244985 ideals in 8 passes
Fri Jan  9 23:35:29 2015  max relations containing the same ideal: 83
Fri Jan  9 23:35:29 2015  removing 112796 relations and 100761 ideals in 12035 cliques
Fri Jan  9 23:35:29 2015  commencing in-memory singleton removal
Fri Jan  9 23:35:29 2015  begin with 1193475 relations and 1244985 unique ideals
Fri Jan  9 23:35:30 2015  reduce to 1184288 relations and 1134946 ideals in 9 passes
Fri Jan  9 23:35:30 2015  max relations containing the same ideal: 78
Fri Jan  9 23:35:30 2015  relations with 0 large ideals: 589
Fri Jan  9 23:35:30 2015  relations with 1 large ideals: 4472
Fri Jan  9 23:35:30 2015  relations with 2 large ideals: 30573
Fri Jan  9 23:35:30 2015  relations with 3 large ideals: 123996
Fri Jan  9 23:35:30 2015  relations with 4 large ideals: 280077
Fri Jan  9 23:35:30 2015  relations with 5 large ideals: 368449
Fri Jan  9 23:35:30 2015  relations with 6 large ideals: 252788
Fri Jan  9 23:35:30 2015  relations with 7+ large ideals: 123344
Fri Jan  9 23:35:30 2015  commencing 2-way merge
Fri Jan  9 23:35:30 2015  reduce to 648075 relation sets and 598736 unique ideals
Fri Jan  9 23:35:30 2015  ignored 3 oversize relation sets
Fri Jan  9 23:35:30 2015  commencing full merge
Fri Jan  9 23:35:35 2015  memory use: 60.0 MB
Fri Jan  9 23:35:35 2015  found 301442 cycles, need 296936
Fri Jan  9 23:35:35 2015  weight of 296936 cycles is about 21045669 (70.88/cycle)
Fri Jan  9 23:35:35 2015  distribution of cycle lengths:
Fri Jan  9 23:35:35 2015  1 relations: 32320
Fri Jan  9 23:35:35 2015  2 relations: 31204
Fri Jan  9 23:35:35 2015  3 relations: 30769
Fri Jan  9 23:35:35 2015  4 relations: 27922
Fri Jan  9 23:35:35 2015  5 relations: 25173
Fri Jan  9 23:35:35 2015  6 relations: 22143
Fri Jan  9 23:35:35 2015  7 relations: 18760
Fri Jan  9 23:35:35 2015  8 relations: 16633
Fri Jan  9 23:35:35 2015  9 relations: 14764
Fri Jan  9 23:35:35 2015  10+ relations: 77248
Fri Jan  9 23:35:35 2015  heaviest cycle: 26 relations
Fri Jan  9 23:35:35 2015  commencing cycle optimization
Fri Jan  9 23:35:35 2015  start with 2043973 relations
Fri Jan  9 23:35:37 2015  pruned 43572 relations
Fri Jan  9 23:35:37 2015  memory use: 67.1 MB
Fri Jan  9 23:35:37 2015  distribution of cycle lengths:
Fri Jan  9 23:35:37 2015  1 relations: 32320
Fri Jan  9 23:35:37 2015  2 relations: 31776
Fri Jan  9 23:35:37 2015  3 relations: 31804
Fri Jan  9 23:35:37 2015  4 relations: 28513
Fri Jan  9 23:35:37 2015  5 relations: 25726
Fri Jan  9 23:35:37 2015  6 relations: 22273
Fri Jan  9 23:35:37 2015  7 relations: 18987
Fri Jan  9 23:35:37 2015  8 relations: 16657
Fri Jan  9 23:35:37 2015  9 relations: 14690
Fri Jan  9 23:35:37 2015  10+ relations: 74190
Fri Jan  9 23:35:37 2015  heaviest cycle: 26 relations
Fri Jan  9 23:35:37 2015  RelProcTime: 53
Fri Jan  9 23:35:37 2015  
Fri Jan  9 23:35:37 2015  commencing linear algebra
Fri Jan  9 23:35:37 2015  read 296936 cycles
Fri Jan  9 23:35:38 2015  cycles contain 1122172 unique relations
Fri Jan  9 23:35:43 2015  read 1122172 relations
Fri Jan  9 23:35:44 2015  using 20 quadratic characters above 67107632
Fri Jan  9 23:35:47 2015  building initial matrix
Fri Jan  9 23:35:53 2015  memory use: 131.8 MB
Fri Jan  9 23:35:53 2015  read 296936 cycles
Fri Jan  9 23:35:53 2015  matrix is 296753 x 296936 (89.6 MB) with weight 28268955 (95.20/col)
Fri Jan  9 23:35:53 2015  sparse part has weight 20227077 (68.12/col)
Fri Jan  9 23:35:54 2015  filtering completed in 2 passes
Fri Jan  9 23:35:54 2015  matrix is 295635 x 295818 (89.5 MB) with weight 28217327 (95.39/col)
Fri Jan  9 23:35:54 2015  sparse part has weight 20208293 (68.31/col)
Fri Jan  9 23:35:54 2015  matrix starts at (0, 0)
Fri Jan  9 23:35:54 2015  matrix is 295635 x 295818 (89.5 MB) with weight 28217327 (95.39/col)
Fri Jan  9 23:35:54 2015  sparse part has weight 20208293 (68.31/col)
Fri Jan  9 23:35:54 2015  saving the first 48 matrix rows for later
Fri Jan  9 23:35:54 2015  matrix includes 64 packed rows
Fri Jan  9 23:35:54 2015  matrix is 295587 x 295818 (86.0 MB) with weight 22400668 (75.72/col)
Fri Jan  9 23:35:54 2015  sparse part has weight 19592355 (66.23/col)
Fri Jan  9 23:35:54 2015  using block size 65536 for processor cache size 8192 kB
Fri Jan  9 23:35:55 2015  commencing Lanczos iteration (8 threads)
Fri Jan  9 23:35:55 2015  memory use: 81.1 MB
Fri Jan  9 23:36:00 2015  linear algebra at 4.1%, ETA 0h 1m
Fri Jan  9 23:38:08 2015  lanczos halted after 4675 iterations (dim = 295584)
Fri Jan  9 23:38:09 2015  recovered 28 nontrivial dependencies
Fri Jan  9 23:38:09 2015  BLanczosTime: 152
Fri Jan  9 23:38:09 2015  
Fri Jan  9 23:38:09 2015  commencing square root phase
Fri Jan  9 23:38:09 2015  reading relations for dependency 1
Fri Jan  9 23:38:09 2015  read 147752 cycles
Fri Jan  9 23:38:09 2015  cycles contain 560172 unique relations
Fri Jan  9 23:38:13 2015  read 560172 relations
Fri Jan  9 23:38:14 2015  multiplying 560172 relations
Fri Jan  9 23:38:23 2015  multiply complete, coefficients have about 23.93 million bits
Fri Jan  9 23:38:23 2015  initial square root is modulo 7486499
Fri Jan  9 23:38:36 2015  sqrtTime: 27
--
n: 76584956652070815671491941334390003068563584066389524505643723029321113297772032067756202559450228863
skew: 1112563.00
c0: 814582847510855619922544875
c1: 5981206583124131688385
c2: -13543185299105103
c3: -12969825873
c4: 3828
Y0: -2114945014653815998627908
Y1: 35617487145725
rlim: 1940000
alim: 1940000
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
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10223+839

c213

composite cofactor 合成数の残り
256992242904613891998654087876486159170758233456617825752864558006314694317132081579234169899491215246685492107173957043791381227772959285749205481965885724469347853926194326382464128478288129105140847167122705821<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:23 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 23 秒 (日本時間)
4511e61385585CypJanuary 24, 2015 00:07:45 UTC 2015 年 1 月 24 日 (土) 9 時 7 分 45 秒 (日本時間)
800Dmitry DomanovJanuary 14, 2019 21:32:07 UTC 2019 年 1 月 15 日 (火) 6 時 32 分 7 秒 (日本時間)
5043e61700 / 7231300Dmitry DomanovFebruary 17, 2019 01:25:28 UTC 2019 年 2 月 17 日 (日) 10 時 25 分 28 秒 (日本時間)
600Dmitry DomanovFebruary 27, 2019 20:47:43 UTC 2019 年 2 月 28 日 (木) 5 時 47 分 43 秒 (日本時間)
800Dmitry DomanovMarch 24, 2019 20:04:46 UTC 2019 年 3 月 25 日 (月) 5 時 4 分 46 秒 (日本時間)

7×10226+839

c151

composite cofactor 合成数の残り
1719841910997635182975123892894907667835901680824116717847702770481401872448286143093568531772768528016799160304106725769757110227921191828663476372429<151>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:08:23 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 23 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 23:39:19 UTC 2015 年 1 月 11 日 (日) 8 時 39 分 19 秒 (日本時間)
4511e64100800Dmitry DomanovMarch 1, 2016 13:15:52 UTC 2016 年 3 月 1 日 (火) 22 時 15 分 52 秒 (日本時間)
3300Lionel DebrouxJanuary 3, 2018 15:49:04 UTC 2018 年 1 月 4 日 (木) 0 時 49 分 4 秒 (日本時間)
5043e6800 / 6542Dmitry DomanovMarch 4, 2019 20:44:17 UTC 2019 年 3 月 5 日 (火) 5 時 44 分 17 秒 (日本時間)

7×10227+839

c172

composite cofactor 合成数の残り
8068065123722016247632314327672997863541287546098572493259064197641370670031997679373397960017850384918453949010553714180644011946583787281750771180033251130512964075764991<172>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:08:24 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 24 秒 (日本時間)
1CypJanuary 9, 2015 00:48:21 UTC 2015 年 1 月 9 日 (金) 9 時 48 分 21 秒 (日本時間)
4511e61385585CypJune 22, 2015 11:08:09 UTC 2015 年 6 月 22 日 (月) 20 時 8 分 9 秒 (日本時間)
800Dmitry DomanovNovember 16, 2018 23:49:38 UTC 2018 年 11 月 17 日 (土) 8 時 49 分 38 秒 (日本時間)
5043e61800 / 7231300Dmitry DomanovFebruary 16, 2019 00:57:06 UTC 2019 年 2 月 16 日 (土) 9 時 57 分 6 秒 (日本時間)
600Dmitry DomanovFebruary 27, 2019 22:28:55 UTC 2019 年 2 月 28 日 (木) 7 時 28 分 55 秒 (日本時間)
900Dmitry DomanovMarch 5, 2019 23:49:14 UTC 2019 年 3 月 6 日 (水) 8 時 49 分 14 秒 (日本時間)

7×10230+839

c218

name 名前Dmitry Domanov
date 日付March 1, 2019 18:09:12 UTC 2019 年 3 月 2 日 (土) 3 時 9 分 12 秒 (日本時間)
composite number 合成数
26170005268308155868168756565264750094477601815541949300339378777287413734062892170034948548346510703316430468386667691453696326927470831575167365170839059628460990393452489891722796607329107702094357883827825066736513<218>
prime factors 素因数
12594604991746138480722330105628235204922280916887<50>
2077874239442891785411673981958091612993617725300940441118741644809755142837321225744745897355384041436766652761352892084940416114069460354641538030957056227217695148199<169>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1701574144
Step 1 took 441644ms
Step 2 took 79496ms
********** Factor found in step 2: 12594604991746138480722330105628235204922280916887
Found probable prime factor of 50 digits: 12594604991746138480722330105628235204922280916887
Probable prime cofactor 2077874239442891785411673981958091612993617725300940441118741644809755142837321225744745897355384041436766652761352892084940416114069460354641538030957056227217695148199 has 169 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:24 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 24 秒 (日本時間)
4511e61376476CypAugust 4, 2015 18:16:42 UTC 2015 年 8 月 5 日 (水) 3 時 16 分 42 秒 (日本時間)
900Dmitry DomanovNovember 6, 2018 12:11:19 UTC 2018 年 11 月 6 日 (火) 21 時 11 分 19 秒 (日本時間)
5043e6900 / 7233300Dmitry DomanovFebruary 17, 2019 15:36:27 UTC 2019 年 2 月 18 日 (月) 0 時 36 分 27 秒 (日本時間)
600Dmitry DomanovFebruary 28, 2019 11:32:24 UTC 2019 年 2 月 28 日 (木) 20 時 32 分 24 秒 (日本時間)

7×10231+839

c211

composite cofactor 合成数の残り
8382363570742121365296786263137419481772576408051629361585330981771598078312668749180071073382431199642073230207844166232779156559900815754228133155814002798056657997207845479293444923806317531306257754161795831<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:08:25 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 25 秒 (日本時間)
1CypJanuary 9, 2015 00:58:34 UTC 2015 年 1 月 9 日 (金) 9 時 58 分 34 秒 (日本時間)
4511e61385585CypMay 25, 2015 22:24:21 UTC 2015 年 5 月 26 日 (火) 7 時 24 分 21 秒 (日本時間)
800Dmitry DomanovJanuary 14, 2019 21:32:45 UTC 2019 年 1 月 15 日 (火) 6 時 32 分 45 秒 (日本時間)
5043e61700 / 7231300Dmitry DomanovFebruary 17, 2019 15:37:34 UTC 2019 年 2 月 18 日 (月) 0 時 37 分 34 秒 (日本時間)
600Dmitry DomanovFebruary 27, 2019 20:48:30 UTC 2019 年 2 月 28 日 (木) 5 時 48 分 30 秒 (日本時間)
800Dmitry DomanovMarch 24, 2019 23:29:53 UTC 2019 年 3 月 25 日 (月) 8 時 29 分 53 秒 (日本時間)

7×10234+839

c190

name 名前Dmitry Domanov
date 日付February 26, 2019 22:59:41 UTC 2019 年 2 月 27 日 (水) 7 時 59 分 41 秒 (日本時間)
composite number 合成数
4496759172957123673166973331885992292326401213114624541786634014400274664924399606417496304184125878041476382268843362556567922763680186615628184803145738793397232757707707085115148957488707<190>
prime factors 素因数
61034697413327471408082323904977625719911<41>
composite cofactor 合成数の残り
73675456150868311470302348466152172465413390636220789032216556543206215351901723211772600436712543104780404611933114014027020525803449932754721732037<149>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3809209079
Step 1 took 338418ms
Step 2 took 88547ms
********** Factor found in step 2: 61034697413327471408082323904977625719911
Found probable prime factor of 41 digits: 61034697413327471408082323904977625719911

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:08:25 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 25 秒 (日本時間)
1CypJanuary 9, 2015 00:11:15 UTC 2015 年 1 月 9 日 (金) 9 時 11 分 15 秒 (日本時間)
4511e61385585CypJune 5, 2015 07:47:53 UTC 2015 年 6 月 5 日 (金) 16 時 47 分 53 秒 (日本時間)
800Dmitry DomanovNovember 29, 2018 00:30:07 UTC 2018 年 11 月 29 日 (木) 9 時 30 分 7 秒 (日本時間)
5043e61900 / 7231300Dmitry DomanovFebruary 14, 2019 22:30:26 UTC 2019 年 2 月 15 日 (金) 7 時 30 分 26 秒 (日本時間)
600Dmitry DomanovFebruary 26, 2019 20:36:03 UTC 2019 年 2 月 27 日 (水) 5 時 36 分 3 秒 (日本時間)
1000Dmitry DomanovMarch 4, 2019 20:45:10 UTC 2019 年 3 月 5 日 (火) 5 時 45 分 10 秒 (日本時間)

7×10235+839

c217

composite cofactor 合成数の残り
5008099462627370300462570364381575124758963188131185587352124296375156315733787262968330827599996557289397563932855420323736880964063943044244900721252369725803218663571530566504873950731997853230134229991042852281253<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:26 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 26 秒 (日本時間)
4511e61385585CypJune 2, 2015 05:48:34 UTC 2015 年 6 月 2 日 (火) 14 時 48 分 34 秒 (日本時間)
800Dmitry DomanovJanuary 14, 2019 21:33:08 UTC 2019 年 1 月 15 日 (火) 6 時 33 分 8 秒 (日本時間)
5043e61700 / 7231300Dmitry DomanovFebruary 17, 2019 22:27:57 UTC 2019 年 2 月 18 日 (月) 7 時 27 分 57 秒 (日本時間)
600Dmitry DomanovMarch 3, 2019 12:52:53 UTC 2019 年 3 月 3 日 (日) 21 時 52 分 53 秒 (日本時間)
800Dmitry DomanovMarch 25, 2019 13:19:55 UTC 2019 年 3 月 25 日 (月) 22 時 19 分 55 秒 (日本時間)

7×10236+839

c197

composite cofactor 合成数の残り
39215834738531572150238167409500449309496282710363380754594570760207049558629983756573769322773055435806129256799676335843096037417077684915085647676295227550130679781105699224485042882193356526991<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:26 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 26 秒 (日本時間)
4511e61385585CypAugust 4, 2015 13:48:40 UTC 2015 年 8 月 4 日 (火) 22 時 48 分 40 秒 (日本時間)
800Dmitry DomanovNovember 29, 2018 00:29:36 UTC 2018 年 11 月 29 日 (木) 9 時 29 分 36 秒 (日本時間)
5043e61700 / 7231300Dmitry DomanovFebruary 14, 2019 12:41:51 UTC 2019 年 2 月 14 日 (木) 21 時 41 分 51 秒 (日本時間)
600Dmitry DomanovMarch 1, 2019 15:04:36 UTC 2019 年 3 月 2 日 (土) 0 時 4 分 36 秒 (日本時間)
800Dmitry DomanovMarch 22, 2019 12:37:11 UTC 2019 年 3 月 22 日 (金) 21 時 37 分 11 秒 (日本時間)

7×10237+839

c185

composite cofactor 合成数の残り
11790476989089012331153367124484513494376871334503618427000386825254561758957386750135480102779209832864056751852930606190401979742175679499251572753442938692522242613876749009092938689<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:08:27 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 27 秒 (日本時間)
1CypJanuary 9, 2015 00:46:41 UTC 2015 年 1 月 9 日 (金) 9 時 46 分 41 秒 (日本時間)
4511e61385585CypAugust 4, 2015 11:51:13 UTC 2015 年 8 月 4 日 (火) 20 時 51 分 13 秒 (日本時間)
800Dmitry DomanovNovember 28, 2018 23:28:00 UTC 2018 年 11 月 29 日 (木) 8 時 28 分 0 秒 (日本時間)
5043e61700 / 7231300Dmitry DomanovFebruary 14, 2019 22:30:43 UTC 2019 年 2 月 15 日 (金) 7 時 30 分 43 秒 (日本時間)
600Dmitry DomanovMarch 1, 2019 15:05:11 UTC 2019 年 3 月 2 日 (土) 0 時 5 分 11 秒 (日本時間)
800Dmitry DomanovMarch 18, 2019 08:04:51 UTC 2019 年 3 月 18 日 (月) 17 時 4 分 51 秒 (日本時間)

7×10238+839

c222

name 名前Dmitry Domanov
date 日付March 4, 2019 00:18:17 UTC 2019 年 3 月 4 日 (月) 9 時 18 分 17 秒 (日本時間)
composite number 合成数
194312448494438371750838822889804670726974605768717075368926472917452921064582618119653281494665291999711322336329219688152160417120769476974982748392713229697316583222398490933450506217796057732570945775978157809333344149<222>
prime factors 素因数
92220762709190832227321696288368713597960769<44>
2107035799597360727746170122413230938271777463966705499994257627038522609491104783657573507979456338383190827738502241565797278809854687516525162977961434372086931039850063272021<178>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:514586442
Step 1 took 222059ms
Step 2 took 65274ms
********** Factor found in step 2: 92220762709190832227321696288368713597960769
Found prime factor of 44 digits: 92220762709190832227321696288368713597960769
Prime cofactor 2107035799597360727746170122413230938271777463966705499994257627038522609491104783657573507979456338383190827738502241565797278809854687516525162977961434372086931039850063272021 has 178 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:28 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 28 秒 (日本時間)
4511e61385585CypMay 14, 2015 11:08:56 UTC 2015 年 5 月 14 日 (木) 20 時 8 分 56 秒 (日本時間)
800Dmitry DomanovJanuary 14, 2019 21:36:02 UTC 2019 年 1 月 15 日 (火) 6 時 36 分 2 秒 (日本時間)
5043e6900 / 7231300Dmitry DomanovFebruary 17, 2019 22:27:26 UTC 2019 年 2 月 18 日 (月) 7 時 27 分 26 秒 (日本時間)
600Dmitry DomanovMarch 3, 2019 17:48:47 UTC 2019 年 3 月 4 日 (月) 2 時 48 分 47 秒 (日本時間)

7×10243+839

c215

composite cofactor 合成数の残り
97255654912997382358347877612289197840689271726866039299661528050693966066880198599190427758751174268537187043578679355673887851175154589830554110572462849662609398208371342014798663277604301867267322145174863409863<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:28 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 28 秒 (日本時間)
4511e61385585CypJune 8, 2015 05:55:12 UTC 2015 年 6 月 8 日 (月) 14 時 55 分 12 秒 (日本時間)
800Dmitry DomanovJanuary 14, 2019 21:36:50 UTC 2019 年 1 月 15 日 (火) 6 時 36 分 50 秒 (日本時間)
5043e61700 / 7231300Dmitry DomanovFebruary 18, 2019 22:24:44 UTC 2019 年 2 月 19 日 (火) 7 時 24 分 44 秒 (日本時間)
600Dmitry DomanovMarch 3, 2019 16:52:02 UTC 2019 年 3 月 4 日 (月) 1 時 52 分 2 秒 (日本時間)
800Dmitry DomanovMarch 25, 2019 14:30:55 UTC 2019 年 3 月 25 日 (月) 23 時 30 分 55 秒 (日本時間)

7×10244+839

c208

name 名前Dmitry Domanov
date 日付February 19, 2019 15:43:18 UTC 2019 年 2 月 20 日 (水) 0 時 43 分 18 秒 (日本時間)
composite number 合成数
1902664737606427254900834648681533526566125052558995324329706610692183511269012999711178543216936581665423501496485074312484132461337312253228495790689117467662945609584597115109471090542236275548772561410329<208>
prime factors 素因数
7941051369426041332294499087906298963316091603<46>
239598593321270372830697746857990394242404597893184924454921429939973162860444744953827699505722643120913687851369083410449490559746785207118876120965940628463843<162>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2745227706
Step 1 took 382476ms
Step 2 took 100061ms
********** Factor found in step 2: 7941051369426041332294499087906298963316091603
Found probable prime factor of 46 digits: 7941051369426041332294499087906298963316091603

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:29 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 29 秒 (日本時間)
4511e61385 / 3356585CypAugust 4, 2015 13:49:24 UTC 2015 年 8 月 4 日 (火) 22 時 49 分 24 秒 (日本時間)
800Dmitry DomanovJanuary 14, 2019 21:36:36 UTC 2019 年 1 月 15 日 (火) 6 時 36 分 36 秒 (日本時間)
5043e6300 / 7231Dmitry DomanovFebruary 18, 2019 22:25:11 UTC 2019 年 2 月 19 日 (火) 7 時 25 分 11 秒 (日本時間)

7×10245+839

c218

name 名前Cyp
date 日付January 9, 2015 00:36:03 UTC 2015 年 1 月 9 日 (金) 9 時 36 分 3 秒 (日本時間)
composite number 合成数
14246189938338276028907145618159684692157293735808933706506334177587365110517974954234814468009911934335881893275664798689673419285728935304338658127070140622531563281608168335634751800043831361454852864323813604542679<218>
prime factors 素因数
82091242303204198050563583823<29>
composite cofactor 合成数の残り
173540922742037935300731855974813870410657692885687766415310412728760668085627365326164240928212227794121673295269030369621746708382940713695711652851093583410137218123917051985222760033273<189>
factorization results 素因数分解の結果
Run 13 out of 281:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=272427956
Step 1 took 21872ms
Step 2 took 6763ms
********** Factor found in step 2: 82091242303204198050563583823
Found probable prime factor of 29 digits: 82091242303204198050563583823
Composite cofactor 173540922742037935300731855974813870410657692885687766415310412728760668085627365326164240928212227794121673295269030369621746708382940713695711652851093583410137218123917051985222760033273 has 189 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

c189

name 名前Cyp
date 日付August 4, 2015 06:18:51 UTC 2015 年 8 月 4 日 (火) 15 時 18 分 51 秒 (日本時間)
composite number 合成数
173540922742037935300731855974813870410657692885687766415310412728760668085627365326164240928212227794121673295269030369621746708382940713695711652851093583410137218123917051985222760033273<189>
prime factors 素因数
59895556917050087363594645274183170166259<41>
composite cofactor 合成数の残り
2897392255361718562136151182734357144274864296913903371025368879472567839728782609206859211223082981304675256930327652370982392972466226223209454947<148>
factorization results 素因数分解の結果
Run 244 out of 504:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4281074324
Step 1 took 59057ms
Step 2 took 19444ms
********** Factor found in step 2: 59895556917050087363594645274183170166259
Found probable prime factor of 41 digits: 59895556917050087363594645274183170166259
Composite cofactor 2897392255361718562136151182734357144274864296913903371025368879472567839728782609206859211223082981304675256930327652370982392972466226223209454947 has 148 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

c148

name 名前Lionel Debroux
date 日付April 10, 2016 09:38:32 UTC 2016 年 4 月 10 日 (日) 18 時 38 分 32 秒 (日本時間)
composite number 合成数
2897392255361718562136151182734357144274864296913903371025368879472567839728782609206859211223082981304675256930327652370982392972466226223209454947<148>
prime factors 素因数
14218973996966411327081173420186023556402719359<47>
203769432026521126138841553888304102852249812503750336577105382353965701217189319167339181023934427933<102>
factorization results 素因数分解の結果
14218973996966411327081173420186023556402719359
B1=43e6
software ソフトウェア
GMP-ECM 7.0
execution environment 実行環境
Core i7-2670QM @ 2.2 GHz, Debian sid amd64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6581300Serge BatalovJanuary 9, 2015 00:08:29 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 29 秒 (日本時間)
281CypJanuary 9, 2015 00:36:03 UTC 2015 年 1 月 9 日 (金) 9 時 36 分 3 秒 (日本時間)
4511e61304 / 4347504CypAugust 4, 2015 06:18:51 UTC 2015 年 8 月 4 日 (火) 15 時 18 分 51 秒 (日本時間)
800Dmitry DomanovMarch 1, 2016 13:18:45 UTC 2016 年 3 月 1 日 (火) 22 時 18 分 45 秒 (日本時間)

7×10246+839

c193

composite cofactor 合成数の残り
2767471327424610254438535479434669178812011493120946884971051727067309752169883878547731614846431565909187784087993258166580324821112449925715581259335351075508964921353697181938068046711806769<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:08:31 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 31 秒 (日本時間)
1CypJanuary 9, 2015 00:21:09 UTC 2015 年 1 月 9 日 (金) 9 時 21 分 9 秒 (日本時間)
4511e61385585CypJanuary 31, 2015 14:25:43 UTC 2015 年 1 月 31 日 (土) 23 時 25 分 43 秒 (日本時間)
800Dmitry DomanovNovember 30, 2018 00:41:20 UTC 2018 年 11 月 30 日 (金) 9 時 41 分 20 秒 (日本時間)
5043e61700 / 7231300Dmitry DomanovFebruary 15, 2019 23:53:02 UTC 2019 年 2 月 16 日 (土) 8 時 53 分 2 秒 (日本時間)
600Dmitry DomanovMarch 4, 2019 05:47:13 UTC 2019 年 3 月 4 日 (月) 14 時 47 分 13 秒 (日本時間)
800Dmitry DomanovMarch 22, 2019 17:37:57 UTC 2019 年 3 月 23 日 (土) 2 時 37 分 57 秒 (日本時間)

7×10247+839

c242

composite cofactor 合成数の残り
95373174795867344088702502455859250993584110284089438238375713084790839815303034638174611933364125244053141932996257284126225034368404774653625066250294634986422947330845455945086850900390893769270490585986410685065514558715132589150075140437<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62401300Serge BatalovJanuary 9, 2015 00:08:31 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 31 秒 (日本時間)
1CypJanuary 9, 2015 01:06:06 UTC 2015 年 1 月 9 日 (金) 10 時 6 分 6 秒 (日本時間)
2100Serge BatalovJanuary 9, 2015 18:41:18 UTC 2015 年 1 月 10 日 (土) 3 時 41 分 18 秒 (日本時間)
4511e62100Serge BatalovJanuary 9, 2015 20:57:04 UTC 2015 年 1 月 10 日 (土) 5 時 57 分 4 秒 (日本時間)
5043e61400 / 6991600Dmitry DomanovMarch 3, 2019 18:45:10 UTC 2019 年 3 月 4 日 (月) 3 時 45 分 10 秒 (日本時間)
800Dmitry DomanovMarch 26, 2019 23:09:05 UTC 2019 年 3 月 27 日 (水) 8 時 9 分 5 秒 (日本時間)

7×10248+839

c227

name 名前Serge Batalov
date 日付January 9, 2015 03:54:45 UTC 2015 年 1 月 9 日 (金) 12 時 54 分 45 秒 (日本時間)
composite number 合成数
37588313216993768621720963633202331633670793926824730901698978435524517758247931874117489044489210657938067936984980751887158149193797312849444381813311526906226659156698187922591283180392733686232363569591227730861583665542647<227>
prime factors 素因数
896201262399148624211727929271974789<36>
composite cofactor 合成数の残り
41941821323001828515290206379140255637584981662719696669596534951954602867272480754851069203615875491886792126742838271328888262526665297291251615407766778955425009177376898075138487373352523<191>
factorization results 素因数分解の結果
Input number is 37588313216993768621720963633202331633670793926824730901698978435524517758247931874117489044489210657938067936984980751887158149193797312849444381813311526906226659156698187922591283180392733686232363569591227730861583665542647 (227 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1312715319
Step 1 took 20019ms
Step 2 took 5455ms
********** Factor found in step 2: 896201262399148624211727929271974789
Found probable prime factor of 36 digits: 896201262399148624211727929271974789
Composite cofactor 41941821323001828515290206379140255637584981662719696669596534951954602867272480754851069203615875491886792126742838271328888262526665297291251615407766778955425009177376898075138487373352523 has 191 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:32 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 32 秒 (日本時間)
4511e61385585CypMay 31, 2015 20:51:49 UTC 2015 年 6 月 1 日 (月) 5 時 51 分 49 秒 (日本時間)
800Dmitry DomanovNovember 30, 2018 00:41:45 UTC 2018 年 11 月 30 日 (金) 9 時 41 分 45 秒 (日本時間)
5043e61700 / 7231300Dmitry DomanovFebruary 15, 2019 23:53:32 UTC 2019 年 2 月 16 日 (土) 8 時 53 分 32 秒 (日本時間)
600Dmitry DomanovFebruary 26, 2019 20:34:48 UTC 2019 年 2 月 27 日 (水) 5 時 34 分 48 秒 (日本時間)
800Dmitry DomanovMarch 22, 2019 17:38:20 UTC 2019 年 3 月 23 日 (土) 2 時 38 分 20 秒 (日本時間)

7×10249+839

c240

name 名前Dmitry Domanov
date 日付March 28, 2019 07:24:05 UTC 2019 年 3 月 28 日 (木) 16 時 24 分 5 秒 (日本時間)
composite number 合成数
523327348051163050634194332711009122744978149142048207921429078141344194106075129723222227705421891953143882602752928511299663577212564011542467019561204810880397696774827835120486022044768153569619612751941622829540185579519693444959167319<240>
prime factors 素因数
39282249944072386058443668053281015551323653<44>
composite cofactor 合成数の残り
13322234566407062790524108283160047879235411432240242617161952821375005396634596531530574843918047687234944734026061376431558284256495905091186052209671313309153999262358621470753667192999767486123<197>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=269674820
Step 1 took 446816ms
Step 2 took 106540ms
********** Factor found in step 2: 39282249944072386058443668053281015551323653
Found probable prime factor of 44 digits: 39282249944072386058443668053281015551323653

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:32 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 32 秒 (日本時間)
4511e61385585CypJune 21, 2015 16:56:48 UTC 2015 年 6 月 22 日 (月) 1 時 56 分 48 秒 (日本時間)
800Dmitry DomanovJanuary 19, 2019 02:07:14 UTC 2019 年 1 月 19 日 (土) 11 時 7 分 14 秒 (日本時間)
5043e61700 / 7231500Dmitry DomanovFebruary 18, 2019 22:29:21 UTC 2019 年 2 月 19 日 (火) 7 時 29 分 21 秒 (日本時間)
400Dmitry DomanovMarch 4, 2019 00:18:41 UTC 2019 年 3 月 4 日 (月) 9 時 18 分 41 秒 (日本時間)
800Dmitry DomanovMarch 26, 2019 23:09:40 UTC 2019 年 3 月 27 日 (水) 8 時 9 分 40 秒 (日本時間)

7×10250+839

c244

name 名前Dmitry Domanov
date 日付March 3, 2019 20:24:51 UTC 2019 年 3 月 4 日 (月) 5 時 24 分 51 秒 (日本時間)
composite number 合成数
6634919524587163459109607069639451838114408950468524842228722547665024903222589891548448988037334881733981242703365733541063185191693725290256402673645085453498171274002176822311452411371455874799447709298773364513663716307523212028995356598963<244>
prime factors 素因数
3133242681692887571038449353172774971761849299199<49>
composite cofactor 合成数の残り
2117588772601017852023763026043953483594873472443652213134963827931130170240470844420558978111316405328511016472798116192504134488563293356545363474573058502796670248361052521303107550232006351437<196>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:1660044648
Step 1 took 250099ms
Step 2 took 68932ms
********** Factor found in step 2: 3133242681692887571038449353172774971761849299199
Found prime factor of 49 digits: 3133242681692887571038449353172774971761849299199
Composite cofactor 2117588772601017852023763026043953483594873472443652213134963827931130170240470844420558978111316405328511016472798116192504134488563293356545363474573058502796670248361052521303107550232006351437 has 196 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:08:33 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 33 秒 (日本時間)
1CypJanuary 9, 2015 00:48:56 UTC 2015 年 1 月 9 日 (金) 9 時 48 分 56 秒 (日本時間)
4511e6600Dmitry DomanovApril 21, 2015 10:59:45 UTC 2015 年 4 月 21 日 (火) 19 時 59 分 45 秒 (日本時間)
5043e61900 / 7407600Dmitry DomanovJune 17, 2015 00:31:13 UTC 2015 年 6 月 17 日 (水) 9 時 31 分 13 秒 (日本時間)
500Dmitry DomanovMarch 3, 2019 18:45:31 UTC 2019 年 3 月 4 日 (月) 3 時 45 分 31 秒 (日本時間)
800Dmitry DomanovMarch 22, 2019 17:38:38 UTC 2019 年 3 月 23 日 (土) 2 時 38 分 38 秒 (日本時間)

7×10252+839

c190

composite cofactor 合成数の残り
4667636984769280728994815162139558367136171769158428701636960640445219928826764368287198155953994377674197348065249640591993500954284042664791551272754453939580710211897472895985449206035687<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovNovember 30, 2018 19:57:57 UTC 2018 年 12 月 1 日 (土) 4 時 57 分 57 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 17, 2019 00:38:45 UTC 2019 年 2 月 17 日 (日) 9 時 38 分 45 秒 (日本時間)
600Dmitry DomanovFebruary 26, 2019 20:34:14 UTC 2019 年 2 月 27 日 (水) 5 時 34 分 14 秒 (日本時間)
800Dmitry DomanovMarch 22, 2019 17:38:55 UTC 2019 年 3 月 23 日 (土) 2 時 38 分 55 秒 (日本時間)

7×10253+839

c233

composite cofactor 合成数の残り
14210826756651129897000214118227027702178697294416132359779778103872675081515930948867450046974154117152380738094443699077321471494282835923819684261865558793344712277329861689481835085502041652614487077787780952968041693936180420001<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 15, 2019 00:12:04 UTC 2019 年 1 月 15 日 (火) 9 時 12 分 4 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 18, 2019 23:57:06 UTC 2019 年 2 月 19 日 (火) 8 時 57 分 6 秒 (日本時間)
600Dmitry DomanovMarch 2, 2019 17:21:14 UTC 2019 年 3 月 3 日 (日) 2 時 21 分 14 秒 (日本時間)
800Dmitry DomanovMarch 26, 2019 23:27:36 UTC 2019 年 3 月 27 日 (水) 8 時 27 分 36 秒 (日本時間)

7×10254+839

c205

composite cofactor 合成数の残り
2031550097600705283925794143774000947064740273901170621745543824461252025221545874129852256351467557176867846079281873897393648190805758818276764571796486795168470012652602890017828207085718107670442172943<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900800Dmitry DomanovJanuary 14, 2019 21:37:34 UTC 2019 年 1 月 15 日 (火) 6 時 37 分 34 秒 (日本時間)
100Dmitry DomanovJanuary 14, 2019 21:37:47 UTC 2019 年 1 月 15 日 (火) 6 時 37 分 47 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 18, 2019 23:57:44 UTC 2019 年 2 月 19 日 (火) 8 時 57 分 44 秒 (日本時間)
600Dmitry DomanovFebruary 26, 2019 20:35:15 UTC 2019 年 2 月 27 日 (水) 5 時 35 分 15 秒 (日本時間)
800Dmitry DomanovMarch 28, 2019 12:29:04 UTC 2019 年 3 月 28 日 (木) 21 時 29 分 4 秒 (日本時間)

7×10255+839

c253

composite cofactor 合成数の残り
1546277888226198365363375303733156615860393196377291804727192401148663574110890214269935939916059200353434945880273912083057212281864369339518444886238126794786834548265959796774906118842500552242102937927987629776894190413077092997570134747073116854429<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovJanuary 20, 2019 10:16:35 UTC 2019 年 1 月 20 日 (日) 19 時 16 分 35 秒 (日本時間)
5043e61550 / 7010550Dmitry DomanovJanuary 23, 2019 23:39:30 UTC 2019 年 1 月 24 日 (木) 8 時 39 分 30 秒 (日本時間)
1000Dmitry DomanovMarch 28, 2019 13:07:55 UTC 2019 年 3 月 28 日 (木) 22 時 7 分 55 秒 (日本時間)

7×10258+839

c258

composite cofactor 合成数の残り
777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777787<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62400Dmitry DomanovNovember 5, 2018 21:37:24 UTC 2018 年 11 月 6 日 (火) 6 時 37 分 24 秒 (日本時間)
5043e64440440Dmitry DomanovJanuary 6, 2019 09:42:12 UTC 2019 年 1 月 6 日 (日) 18 時 42 分 12 秒 (日本時間)
4000Dmitry DomanovMarch 19, 2019 09:26:41 UTC 2019 年 3 月 19 日 (火) 18 時 26 分 41 秒 (日本時間)
5511e71030 / 16015Dmitry DomanovOctober 7, 2020 18:09:36 UTC 2020 年 10 月 8 日 (木) 3 時 9 分 36 秒 (日本時間)

7×10259+839

c174

composite cofactor 合成数の残り
305284883030055744105014523273052834847613558880999570660065336202518854433761839296330951162560352054903077666479127758088139463672661772940307459058742450101153877875748507<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62400Dmitry DomanovNovember 7, 2018 14:15:45 UTC 2018 年 11 月 7 日 (水) 23 時 15 分 45 秒 (日本時間)
5043e61240 / 6920440Dmitry DomanovNovember 21, 2018 23:06:58 UTC 2018 年 11 月 22 日 (木) 8 時 6 分 58 秒 (日本時間)
800Dmitry DomanovMarch 4, 2019 20:45:57 UTC 2019 年 3 月 5 日 (火) 5 時 45 分 57 秒 (日本時間)

7×10261+839

c167

composite cofactor 合成数の残り
40018704803170277119868087908358086304175378881063887073781363878736391491789396118284940241406628441162948028079975201674099322241569983017966575174267154725228019873<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62400Dmitry DomanovNovember 17, 2018 22:10:39 UTC 2018 年 11 月 18 日 (日) 7 時 10 分 39 秒 (日本時間)
5043e61240 / 6920440Dmitry DomanovNovember 21, 2018 11:27:45 UTC 2018 年 11 月 21 日 (水) 20 時 27 分 45 秒 (日本時間)
800Dmitry DomanovMarch 4, 2019 20:46:29 UTC 2019 年 3 月 5 日 (火) 5 時 46 分 29 秒 (日本時間)

7×10263+839

c215

composite cofactor 合成数の残り
14163987064254534516127446493940064144008649312211867155878300635692193232111050817985902087084574872422846700003616429172609839674117029758488980801797159374735591698128137132282368493319993996692830744596484355357<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 15, 2019 00:13:05 UTC 2019 年 1 月 15 日 (火) 9 時 13 分 5 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 18, 2019 23:58:08 UTC 2019 年 2 月 19 日 (火) 8 時 58 分 8 秒 (日本時間)
600Dmitry DomanovFebruary 27, 2019 00:15:03 UTC 2019 年 2 月 27 日 (水) 9 時 15 分 3 秒 (日本時間)
800Dmitry DomanovMarch 28, 2019 14:08:04 UTC 2019 年 3 月 28 日 (木) 23 時 8 分 4 秒 (日本時間)

7×10264+839

c232

composite cofactor 合成数の残り
5532280851626043948422340672925084176792303173754862354021585197306369912946412145832030441392489082628637672093620096971682909531407085945606731509075531957569540972280919415090416179016150594263005639458645071256211481016289570627<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 15, 2019 23:48:19 UTC 2019 年 1 月 16 日 (水) 8 時 48 分 19 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 18, 2019 23:58:28 UTC 2019 年 2 月 19 日 (火) 8 時 58 分 28 秒 (日本時間)
600Dmitry DomanovMarch 2, 2019 01:00:15 UTC 2019 年 3 月 2 日 (土) 10 時 0 分 15 秒 (日本時間)
800Dmitry DomanovMarch 28, 2019 14:08:39 UTC 2019 年 3 月 28 日 (木) 23 時 8 分 39 秒 (日本時間)

7×10265+839

c188

name 名前Dmitry Domanov
date 日付December 1, 2018 11:03:44 UTC 2018 年 12 月 1 日 (土) 20 時 3 分 44 秒 (日本時間)
composite number 合成数
11182081532874457374004332276317111263899086733713464404446305451337241685244735580480211066581372960904744479711417179844227234964596623993298755061064500110167456727121110965817833598281<188>
prime factors 素因数
710698844085186345862650775781640644017<39>
15733923905938057063135540621704449932209350650156350742363790364074737471858688773817191449308674356211360202039958063139621327855918394824681959193<149>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3087338672
Step 1 took 96157ms
Step 2 took 34264ms
********** Factor found in step 2: 710698844085186345862650775781640644017
Found probable prime factor of 39 digits: 710698844085186345862650775781640644017

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900 / 3928Dmitry DomanovNovember 30, 2018 19:58:54 UTC 2018 年 12 月 1 日 (土) 4 時 58 分 54 秒 (日本時間)

7×10266+839

c166

composite cofactor 合成数の残り
3703263253039667783097141138633410470086513765466208805779803171209992061600985869513194247472811411225082457844714627694415881124180327650705235016736063258631933601<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovNovember 15, 2018 14:06:32 UTC 2018 年 11 月 15 日 (木) 23 時 6 分 32 秒 (日本時間)
5043e61550 / 7010550Dmitry DomanovNovember 22, 2018 13:39:47 UTC 2018 年 11 月 22 日 (木) 22 時 39 分 47 秒 (日本時間)
1000Dmitry DomanovMarch 5, 2019 07:57:55 UTC 2019 年 3 月 5 日 (火) 16 時 57 分 55 秒 (日本時間)

7×10267+839

c252

name 名前Dmitry Domanov
date 日付February 27, 2019 09:30:08 UTC 2019 年 2 月 27 日 (水) 18 時 30 分 8 秒 (日本時間)
composite number 合成数
287694111105394203573592332282091444558391734268632531676259386397684118452890184136302751775185481384611405036521651262284555690769303000138513897011956268091229502802871800265472877002741827878585354139664008340115802114780520491824576410494952717643<252>
prime factors 素因数
46599471708444170202863059579429467691075996053653<50>
composite cofactor 合成数の残り
6173763361640468875867110088992521280440304536460805426076909459559725408832015592112354093363334953219906163690090361706850648180217848559418307554689684650012170663875927842709013488293254660833844831<202>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:6634175
Step 1 took 261582ms
Step 2 took 73016ms
********** Factor found in step 2: 46599471708444170202863059579429467691075996053653
Found prime factor of 50 digits: 46599471708444170202863059579429467691075996053653

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 20, 2019 11:25:50 UTC 2019 年 1 月 20 日 (日) 20 時 25 分 50 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 19, 2019 07:58:14 UTC 2019 年 2 月 19 日 (火) 16 時 58 分 14 秒 (日本時間)
600Dmitry DomanovFebruary 26, 2019 23:12:24 UTC 2019 年 2 月 27 日 (水) 8 時 12 分 24 秒 (日本時間)
800Dmitry DomanovMarch 30, 2019 01:05:38 UTC 2019 年 3 月 30 日 (土) 10 時 5 分 38 秒 (日本時間)

7×10268+839

c213

composite cofactor 合成数の残り
234219491370574229279594262972784777839373345748929972964776064195984487531236117403271668386230349634000387293626014354163378311055071709440284374748218313577912021712384136681733624442543940840854322907250546609<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 15, 2019 23:49:02 UTC 2019 年 1 月 16 日 (水) 8 時 49 分 2 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 18, 2019 23:58:53 UTC 2019 年 2 月 19 日 (火) 8 時 58 分 53 秒 (日本時間)
600Dmitry DomanovMarch 1, 2019 07:23:25 UTC 2019 年 3 月 1 日 (金) 16 時 23 分 25 秒 (日本時間)
800Dmitry DomanovMarch 29, 2019 23:45:34 UTC 2019 年 3 月 30 日 (土) 8 時 45 分 34 秒 (日本時間)

7×10269+839

c173

composite cofactor 合成数の残り
15791200475682358379235415414162354998012224606759474408433563660753458934955431555838840905067581916335500691800354715237312464244729143310413725200344088380254051640431797<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovNovember 7, 2018 06:17:32 UTC 2018 年 11 月 7 日 (水) 15 時 17 分 32 秒 (日本時間)
5043e62160 / 7010560Dmitry DomanovNovember 21, 2018 23:08:49 UTC 2018 年 11 月 22 日 (木) 8 時 8 分 49 秒 (日本時間)
800Dmitry DomanovMarch 4, 2019 22:02:04 UTC 2019 年 3 月 5 日 (火) 7 時 2 分 4 秒 (日本時間)
800Dmitry DomanovMarch 9, 2019 09:58:58 UTC 2019 年 3 月 9 日 (土) 18 時 58 分 58 秒 (日本時間)

7×10270+839

c245

composite cofactor 合成数の残り
20606884625820377432410821171979576512404556932377442685381435068218018921105137011431937832342130179990435419883917943372434201383083373402967263459800820028706210130613279817211915950119779279342100010012014490222006762576352718681569810161167<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 20, 2019 11:26:14 UTC 2019 年 1 月 20 日 (日) 20 時 26 分 14 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 21, 2019 18:52:07 UTC 2019 年 2 月 22 日 (金) 3 時 52 分 7 秒 (日本時間)
600Dmitry DomanovFebruary 26, 2019 23:13:06 UTC 2019 年 2 月 27 日 (水) 8 時 13 分 6 秒 (日本時間)
800Dmitry DomanovMarch 30, 2019 01:11:30 UTC 2019 年 3 月 30 日 (土) 10 時 11 分 30 秒 (日本時間)

7×10271+839

c218

composite cofactor 合成数の残り
61309132627361255621363379361034823483139045500259094649828924469713695627055844204628806814271935970524771369523736747200476237566055409337320531704422362257592899261891339104740915208858548806991349110508575248579713<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 15, 2019 23:49:49 UTC 2019 年 1 月 16 日 (水) 8 時 49 分 49 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 19, 2019 08:01:26 UTC 2019 年 2 月 19 日 (火) 17 時 1 分 26 秒 (日本時間)
600Dmitry DomanovMarch 1, 2019 07:23:49 UTC 2019 年 3 月 1 日 (金) 16 時 23 分 49 秒 (日本時間)
800Dmitry DomanovMarch 29, 2019 23:46:00 UTC 2019 年 3 月 30 日 (土) 8 時 46 分 0 秒 (日本時間)

7×10272+839

c243

composite cofactor 合成数の残り
709009288536743366121524455891796942516791266937182488917474660796107698798005722231611637198956999105040769631532804420604955412871807826644371079023600384327558137110483710138747616981118157765004146298689807668233125126238932884960540509573<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 20, 2019 11:26:27 UTC 2019 年 1 月 20 日 (日) 20 時 26 分 27 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 20, 2019 20:59:06 UTC 2019 年 2 月 21 日 (木) 5 時 59 分 6 秒 (日本時間)
600Dmitry DomanovFebruary 27, 2019 12:42:38 UTC 2019 年 2 月 27 日 (水) 21 時 42 分 38 秒 (日本時間)
800Dmitry DomanovMarch 30, 2019 01:12:22 UTC 2019 年 3 月 30 日 (土) 10 時 12 分 22 秒 (日本時間)

7×10273+839

c246

composite cofactor 合成数の残り
114450818542886556757386490414042718340580561283152742787147938784765432613647627318051802134657528861951178688222686456762449669136061840424094795878545971067893075726020679460562487669191933276950068738395954637307691463148486867513013390058051<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 20, 2019 11:26:40 UTC 2019 年 1 月 20 日 (日) 20 時 26 分 40 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 21, 2019 18:18:13 UTC 2019 年 2 月 22 日 (金) 3 時 18 分 13 秒 (日本時間)
600Dmitry DomanovFebruary 27, 2019 12:41:38 UTC 2019 年 2 月 27 日 (水) 21 時 41 分 38 秒 (日本時間)
800Dmitry DomanovMarch 31, 2019 00:39:59 UTC 2019 年 3 月 31 日 (日) 9 時 39 分 59 秒 (日本時間)

7×10274+839

c262

name 名前Dmitry Domanov
date 日付March 31, 2019 09:55:06 UTC 2019 年 3 月 31 日 (日) 18 時 55 分 6 秒 (日本時間)
composite number 合成数
1358783994402553930562745784938584547429920309220960466631817474794043215883236701148254925985947059521468519435762437180615800632106826026705340035811200472976790087393638173201230169141375766143359377063252888578027810894535121599670244054211180662343183217637<262>
prime factors 素因数
33332745676372725943347767504524561568473181607067<50>
composite cofactor 合成数の残り
40764238493731458946835914706633730302263278481744493639197980277542265406704327552951954967026597647535492752516619065065177385392728222344272954628987099417412491257508355942615904929932085968034971602026979711<212>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:1894654249
Step 1 took 285765ms
Step 2 took 80382ms
********** Factor found in step 2: 33332745676372725943347767504524561568473181607067
Found prime factor of 50 digits: 33332745676372725943347767504524561568473181607067

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 20, 2019 11:27:03 UTC 2019 年 1 月 20 日 (日) 20 時 27 分 3 秒 (日本時間)
5043e61700 / 7257600Dmitry DomanovFebruary 21, 2019 18:17:28 UTC 2019 年 2 月 22 日 (金) 3 時 17 分 28 秒 (日本時間)
300Dmitry DomanovMarch 2, 2019 20:48:55 UTC 2019 年 3 月 3 日 (日) 5 時 48 分 55 秒 (日本時間)
800Dmitry DomanovMarch 30, 2019 20:36:46 UTC 2019 年 3 月 31 日 (日) 5 時 36 分 46 秒 (日本時間)

7×10275+839

c237

name 名前Dmitry Domanov
date 日付March 31, 2019 09:56:10 UTC 2019 年 3 月 31 日 (日) 18 時 56 分 10 秒 (日本時間)
composite number 合成数
198681054370438796265649149957481049349197969266499521224360118959172836814804506483321447259162073019451744497925790455402072317374378729198300142689377553138151693275593289180342203323216485011339642551484220586690232629074277801922771<237>
prime factors 素因数
36427441826016949910634520779415502913611963<44>
composite cofactor 合成数の残り
5454158854178396314172301874910205910501437114758354397006954744706223622871104775869680471773515251012564025493958315196876548861354991261542897902886942503757693958512345659905924374456623817<193>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2128655747
Step 1 took 335273ms
Step 2 took 90609ms
********** Factor found in step 2: 36427441826016949910634520779415502913611963
Found prime factor of 44 digits: 36427441826016949910634520779415502913611963

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 16, 2019 10:30:10 UTC 2019 年 1 月 16 日 (水) 19 時 30 分 10 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 20, 2019 20:58:24 UTC 2019 年 2 月 21 日 (木) 5 時 58 分 24 秒 (日本時間)
600Dmitry DomanovFebruary 28, 2019 16:05:12 UTC 2019 年 3 月 1 日 (金) 1 時 5 分 12 秒 (日本時間)
800Dmitry DomanovMarch 31, 2019 00:33:52 UTC 2019 年 3 月 31 日 (日) 9 時 33 分 52 秒 (日本時間)

7×10276+839

c204

composite cofactor 合成数の残り
758279601554197469454763788500155876212788890885566218913167909621642996151199418206100247991436512210021346480651980170716032991142309404069339332980636387185671329574822074755755674203522956515101559857<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 16, 2019 14:23:32 UTC 2019 年 1 月 16 日 (水) 23 時 23 分 32 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 17, 2019 00:40:24 UTC 2019 年 2 月 17 日 (日) 9 時 40 分 24 秒 (日本時間)
600Dmitry DomanovMarch 2, 2019 17:20:29 UTC 2019 年 3 月 3 日 (日) 2 時 20 分 29 秒 (日本時間)
800Dmitry DomanovMarch 30, 2019 01:05:12 UTC 2019 年 3 月 30 日 (土) 10 時 5 分 12 秒 (日本時間)

7×10277+839

c277

composite cofactor 合成数の残り
7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777787<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62400Dmitry DomanovNovember 7, 2018 06:13:08 UTC 2018 年 11 月 7 日 (水) 15 時 13 分 8 秒 (日本時間)
5043e65638438Dmitry DomanovJanuary 4, 2019 01:41:05 UTC 2019 年 1 月 4 日 (金) 10 時 41 分 5 秒 (日本時間)
1600Dmitry DomanovMarch 7, 2019 23:44:21 UTC 2019 年 3 月 8 日 (金) 8 時 44 分 21 秒 (日本時間)
3600Dmitry DomanovMarch 29, 2019 12:42:39 UTC 2019 年 3 月 29 日 (金) 21 時 42 分 39 秒 (日本時間)
5511e7600 / 15588Dmitry DomanovMay 29, 2019 22:57:25 UTC 2019 年 5 月 30 日 (木) 7 時 57 分 25 秒 (日本時間)

7×10278+839

c263

composite cofactor 合成数の残り
10891656342708822786525964382129597777045158450554225107662787532304553449607426041127959706043400535344872850434276181185589218188309163642994224452876250079858175146934776107729355299537230124730959354290211528166998779817973859555078343617105873713629602749573<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 20, 2019 11:27:16 UTC 2019 年 1 月 20 日 (日) 20 時 27 分 16 秒 (日本時間)
5043e61700 / 7257600Dmitry DomanovFebruary 20, 2019 19:49:30 UTC 2019 年 2 月 21 日 (木) 4 時 49 分 30 秒 (日本時間)
300Dmitry DomanovFebruary 27, 2019 12:43:24 UTC 2019 年 2 月 27 日 (水) 21 時 43 分 24 秒 (日本時間)
800Dmitry DomanovApril 1, 2019 09:37:46 UTC 2019 年 4 月 1 日 (月) 18 時 37 分 46 秒 (日本時間)

7×10279+839

c192

composite cofactor 合成数の残り
230713358723228818133339168278081147424335785834728620130269848544431279931361467133296070676698633408704618395301697640941123098937770330140445630649741538034279083855501218804892993198318329<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62400Dmitry DomanovNovember 5, 2018 02:06:08 UTC 2018 年 11 月 5 日 (月) 11 時 6 分 8 秒 (日本時間)
5043e64640440Dmitry DomanovNovember 6, 2018 00:36:11 UTC 2018 年 11 月 6 日 (火) 9 時 36 分 11 秒 (日本時間)
1200Dmitry DomanovMarch 5, 2019 21:04:17 UTC 2019 年 3 月 6 日 (水) 6 時 4 分 17 秒 (日本時間)
3000Dmitry DomanovMarch 5, 2019 21:18:26 UTC 2019 年 3 月 6 日 (水) 6 時 18 分 26 秒 (日本時間)
5511e71000 / 15944Dmitry DomanovMarch 6, 2019 23:49:02 UTC 2019 年 3 月 7 日 (木) 8 時 49 分 2 秒 (日本時間)

7×10280+839

c219

composite cofactor 合成数の残り
129664838176271046997118105961383559803102335951569312611309477580819917945229654306143284916446809705930083261889867136797331642847215003535258506579653318570131171004315276466285415644947970805011356147691633832711599<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 16, 2019 23:03:46 UTC 2019 年 1 月 17 日 (木) 8 時 3 分 46 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 20, 2019 19:48:03 UTC 2019 年 2 月 21 日 (木) 4 時 48 分 3 秒 (日本時間)
600Dmitry DomanovFebruary 26, 2019 10:53:19 UTC 2019 年 2 月 26 日 (火) 19 時 53 分 19 秒 (日本時間)
800Dmitry DomanovApril 1, 2019 15:40:57 UTC 2019 年 4 月 2 日 (火) 0 時 40 分 57 秒 (日本時間)

7×10282+839

c214

composite cofactor 合成数の残り
1279746087907212301734492485723440722622903653951307261032167378783125798493924953638841750886840368329503297564899590540204692605731762707252939946560179009798320272863655607713759239332641647694452237636290162679<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 16, 2019 14:24:24 UTC 2019 年 1 月 16 日 (水) 23 時 24 分 24 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 19, 2019 20:44:11 UTC 2019 年 2 月 20 日 (水) 5 時 44 分 11 秒 (日本時間)
600Dmitry DomanovFebruary 26, 2019 10:53:57 UTC 2019 年 2 月 26 日 (火) 19 時 53 分 57 秒 (日本時間)
800Dmitry DomanovApril 1, 2019 15:41:19 UTC 2019 年 4 月 2 日 (火) 0 時 41 分 19 秒 (日本時間)

7×10283+839

c263

name 名前Dmitry Domanov
date 日付April 2, 2019 05:33:46 UTC 2019 年 4 月 2 日 (火) 14 時 33 分 46 秒 (日本時間)
composite number 合成数
32262595546529710130906546487449397237552761594459455774255650688890113400231886728754259526463641733332242168231645663993299678015992468790174612494823820596996917437598902244807554386110296490193796538171723940686406762255141053785861278595426068656192010546883<263>
prime factors 素因数
8421405719601236880516641175260589009056755163<46>
composite cofactor 合成数の残り
3831022589427906182090231054517474012214568429272414701766957126208891477552364713747192990058029940720527244101438358317454171839421566656962962545523986361838525328398591397579768831454439286958865103437254925040441<217>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 32262595546529710130906546487449397237552761594459455774255650688890113400231886728754259526463641733332242168231645663993299678015992468790174612494823820596996917437598902244807554386110296490193796538171723940686406762255141053785861278595426068656192010546883 (263 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2039711290
Step 1 took 260601ms
Step 2 took 73612ms
********** Factor found in step 2: 8421405719601236880516641175260589009056755163
Found prime factor of 46 digits: 8421405719601236880516641175260589009056755163
Composite cofactor 3831022589427906182090231054517474012214568429272414701766957126208891477552364713747192990058029940720527244101438358317454171839421566656962962545523986361838525328398591397579768831454439286958865103437254925040441 has 217 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 21, 2019 00:59:50 UTC 2019 年 1 月 21 日 (月) 9 時 59 分 50 秒 (日本時間)
5043e61700 / 7257600Dmitry DomanovFebruary 19, 2019 20:56:30 UTC 2019 年 2 月 20 日 (水) 5 時 56 分 30 秒 (日本時間)
300Dmitry DomanovFebruary 27, 2019 12:45:32 UTC 2019 年 2 月 27 日 (水) 21 時 45 分 32 秒 (日本時間)
800Dmitry DomanovApril 1, 2019 15:31:22 UTC 2019 年 4 月 2 日 (火) 0 時 31 分 22 秒 (日本時間)

7×10284+839

c252

composite cofactor 合成数の残り
127196945968089141351824557993372901931443917868588357178210635483505062889544891215525047340149871870085157178121635832155828523533389710432214503286607576349790660311355408196885235912325991274971640404893635058212970548238871384646710533166496502263<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 21, 2019 05:37:30 UTC 2019 年 1 月 21 日 (月) 14 時 37 分 30 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 20, 2019 19:47:12 UTC 2019 年 2 月 21 日 (木) 4 時 47 分 12 秒 (日本時間)
600Dmitry DomanovFebruary 25, 2019 14:42:35 UTC 2019 年 2 月 25 日 (月) 23 時 42 分 35 秒 (日本時間)
800Dmitry DomanovApril 1, 2019 16:56:59 UTC 2019 年 4 月 2 日 (火) 1 時 56 分 59 秒 (日本時間)

7×10285+839

c279

composite cofactor 合成数の残り
127135714269238534987557863323040970773442649705890595395257035086533016881643170261256446302877991142382137882568845396850772076122399945237199190770281329359361501195266417702246086685525252031569686726521071209930432608509015366040158212768265211202479916507433725105669302971<279>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovJanuary 21, 2019 14:58:28 UTC 2019 年 1 月 21 日 (月) 23 時 58 分 28 秒 (日本時間)
5043e61550 / 7010550Dmitry DomanovJanuary 23, 2019 23:41:07 UTC 2019 年 1 月 24 日 (木) 8 時 41 分 7 秒 (日本時間)
1000Dmitry DomanovApril 6, 2019 01:47:02 UTC 2019 年 4 月 6 日 (土) 10 時 47 分 2 秒 (日本時間)

7×10286+839

c266

composite cofactor 合成数の残り
16971899257593781487115448863844463303892232190395320599525607803825800719233874360373855022427180902654362940206988696277148077281414504985299049424225232103620228079168050355930460077556297920491098728871178603205530924920448748652046750768549383111912381266449917<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 21, 2019 00:59:23 UTC 2019 年 1 月 21 日 (月) 9 時 59 分 23 秒 (日本時間)
5043e61664 / 7257864Dmitry DomanovFebruary 19, 2019 16:58:42 UTC 2019 年 2 月 20 日 (水) 1 時 58 分 42 秒 (日本時間)
800Dmitry DomanovApril 2, 2019 21:11:34 UTC 2019 年 4 月 3 日 (水) 6 時 11 分 34 秒 (日本時間)

7×10287+839

c280

composite cofactor 合成数の残り
6397512530145193283339331915260705901349790148337020996645263240138849052949259216944283524156052256600535305463447368902790135258677524305589542340871951894873295756355378055656476315718595979600233516518793191149348495145572061777634583168745899365830119702851628149117279903429<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovJanuary 17, 2019 20:00:49 UTC 2019 年 1 月 18 日 (金) 5 時 0 分 49 秒 (日本時間)
5043e61550 / 7010550Dmitry DomanovJanuary 23, 2019 23:40:40 UTC 2019 年 1 月 24 日 (木) 8 時 40 分 40 秒 (日本時間)
1000Dmitry DomanovApril 5, 2019 17:01:48 UTC 2019 年 4 月 6 日 (土) 2 時 1 分 48 秒 (日本時間)

7×10288+839

c245

composite cofactor 合成数の残り
31179472898377490092104603113549600019582188878024050619516362036008956854080341027422850551739940745593227755266009789825951353292531585217820367317436068429417248237565058224790363303730671392517430953374757671926463238073285746346078627460337<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 21, 2019 18:15:18 UTC 2019 年 1 月 22 日 (火) 3 時 15 分 18 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 19, 2019 20:42:31 UTC 2019 年 2 月 20 日 (水) 5 時 42 分 31 秒 (日本時間)
600Dmitry DomanovFebruary 28, 2019 16:03:46 UTC 2019 年 3 月 1 日 (金) 1 時 3 分 46 秒 (日本時間)
800Dmitry DomanovApril 2, 2019 21:09:01 UTC 2019 年 4 月 3 日 (水) 6 時 9 分 1 秒 (日本時間)

7×10289+839

c259

composite cofactor 合成数の残り
2797202249547482382634272471348800726577230388554992915208259493738988418836388001368323575056545620400855197282486721924457774407559412001872405604377399928538484922405195609719637920170748543390208292405155849257638102873611478496649315829227731260781855339<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 21, 2019 22:50:11 UTC 2019 年 1 月 22 日 (火) 7 時 50 分 11 秒 (日本時間)
5043e61664 / 7257864Dmitry DomanovFebruary 19, 2019 15:36:52 UTC 2019 年 2 月 20 日 (水) 0 時 36 分 52 秒 (日本時間)
800Dmitry DomanovApril 2, 2019 23:46:21 UTC 2019 年 4 月 3 日 (水) 8 時 46 分 21 秒 (日本時間)

7×10290+839

c242

composite cofactor 合成数の残り
42018869228914129895818626764723449907942751801063888080452657903718123513602648827261887212051741313565203270579266895113697192761011136350589761128134014103494935710143495496010037005944706664444192947511518544487722630744781522837233210311<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 21, 2019 18:14:39 UTC 2019 年 1 月 22 日 (火) 3 時 14 分 39 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 19, 2019 20:42:54 UTC 2019 年 2 月 20 日 (水) 5 時 42 分 54 秒 (日本時間)
600Dmitry DomanovFebruary 28, 2019 15:55:46 UTC 2019 年 3 月 1 日 (金) 0 時 55 分 46 秒 (日本時間)
800Dmitry DomanovApril 3, 2019 13:58:53 UTC 2019 年 4 月 3 日 (水) 22 時 58 分 53 秒 (日本時間)

7×10292+839

c285

composite cofactor 合成数の残り
154361044958031426007907444429433935401168445632504073383999347326219392881295084051231822198021938625259078199633944248702511069842465225802897894431330260838477861701011216338814943222622747235890396592754254179924543866805788307203327184405210585853773001485400899526640609331492547<285>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovJanuary 17, 2019 09:22:30 UTC 2019 年 1 月 17 日 (木) 18 時 22 分 30 秒 (日本時間)
5043e61550 / 7010550Dmitry DomanovJanuary 22, 2019 23:07:07 UTC 2019 年 1 月 23 日 (水) 8 時 7 分 7 秒 (日本時間)
1000Dmitry DomanovApril 5, 2019 14:59:00 UTC 2019 年 4 月 5 日 (金) 23 時 59 分 0 秒 (日本時間)

7×10293+839

c235

composite cofactor 合成数の残り
4348503941501503988707798170063601633724796531882762036919489893588047832506917442556023705438753071593535097006492092853655131826091704416434102253684569956505734830333723686741518864358918663319520819475482361738270513189930651098217<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 17, 2019 00:05:17 UTC 2019 年 1 月 17 日 (木) 9 時 5 分 17 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 19, 2019 20:43:21 UTC 2019 年 2 月 20 日 (水) 5 時 43 分 21 秒 (日本時間)
600Dmitry DomanovFebruary 28, 2019 15:54:49 UTC 2019 年 3 月 1 日 (金) 0 時 54 分 49 秒 (日本時間)
800Dmitry DomanovApril 3, 2019 23:37:53 UTC 2019 年 4 月 4 日 (木) 8 時 37 分 53 秒 (日本時間)

7×10294+839

c221

name 名前Dmitry Domanov
date 日付April 5, 2019 15:39:53 UTC 2019 年 4 月 6 日 (土) 0 時 39 分 53 秒 (日本時間)
composite number 合成数
11860297168129670842812360113679331056462355543361715429062927985643385261448393513531275085640519683438293014347383261612803718979732696794771803261472917580864269642017263000595157002710653116569061476401288540788077317<221>
prime factors 素因数
1096340743257169397728974345200910638715714877<46>
composite cofactor 合成数の残り
10818075713298190202384022864600865645505546597309458844362779505046501290654954562804517255109388521406746771408098181543933292039024372000656686594373222455817901739685263721<176>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1445926424
Step 1 took 371073ms
Step 2 took 90575ms
********** Factor found in step 2: 1096340743257169397728974345200910638715714877
Found probable prime factor of 46 digits: 1096340743257169397728974345200910638715714877
Composite cofactor 10818075713298190202384022864600865645505546597309458844362779505046501290654954562804517255109388521406746771408098181543933292039024372000656686594373222455817901739685263721 has 176 digits

c176

name 名前Dmitry Domanov
date 日付April 27, 2019 00:26:52 UTC 2019 年 4 月 27 日 (土) 9 時 26 分 52 秒 (日本時間)
composite number 合成数
10818075713298190202384022864600865645505546597309458844362779505046501290654954562804517255109388521406746771408098181543933292039024372000656686594373222455817901739685263721<176>
prime factors 素因数
206546689460596260857458903559326448442608668133<48>
1677455438901900699356520969403875450229417059044689744927499<61>
31223442653737111199196928970500905542742511529722030018337205020863<68>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2007798369
Step 1 took 325534ms
Step 2 took 79231ms
********** Factor found in step 2: 206546689460596260857458903559326448442608668133
Found probable prime factor of 48 digits: 206546689460596260857458903559326448442608668133
Composite cofactor 52375933700752912969227317330299592379234785980976109092815590095692023517872597867702571408275403773501881219952621448717411637 has 128 digits

GNFS on the remaining c128
nfs: commencing nfs on c128: 52375933700752912969227317330299592379234785980976109092815590095692023517872597867702571408275403773501881219952621448717411637
nfs: commencing poly selection with 6 threads
nfs: setting deadline of 7341 seconds
nfs: completed 439 ranges of size 250 in 7446.7570 seconds
nfs: best poly = # norm 2.777646e-12 alpha -6.533576 e 9.748e-11 rroots 3
...
<sieving>
...
nfs: commencing msieve filtering
nfs: commencing msieve linear algebra
nfs: commencing msieve sqrt
prp61 = 1677455438901900699356520969403875450229417059044689744927499
prp68 = 31223442653737111199196928970500905542742511529722030018337205020863
NFS elapsed time = 93355.3856 seconds.

Poly used:
n: 52375933700752912969227317330299592379234785980976109092815590095692023517872597867702571408275403773501881219952621448717411637
skew: 153677.23
c0: 2397791366352707609585888563125
c1: 18218334099828622563128519
c2: -5801709407146411733
c3: -5188617338181103
c4: -38266648872
c5: 106704
Y0: -3452949445770723770241748
Y1: 479123742469
rlim: 8200000
alim: 8200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 17, 2019 00:06:06 UTC 2019 年 1 月 17 日 (木) 9 時 6 分 6 秒 (日本時間)
5043e63700 / 7257300Dmitry DomanovFebruary 19, 2019 10:36:15 UTC 2019 年 2 月 19 日 (火) 19 時 36 分 15 秒 (日本時間)
600Dmitry DomanovFebruary 27, 2019 15:49:23 UTC 2019 年 2 月 28 日 (木) 0 時 49 分 23 秒 (日本時間)
800Dmitry DomanovApril 4, 2019 14:42:15 UTC 2019 年 4 月 4 日 (木) 23 時 42 分 15 秒 (日本時間)
2000Dmitry DomanovApril 24, 2019 05:21:12 UTC 2019 年 4 月 24 日 (水) 14 時 21 分 12 秒 (日本時間)

7×10295+839

c275

composite cofactor 合成数の残り
90544287915715036620859925164099653009272269627369141369829592998970373023141814028095396812398472265689525458180738566458596687194243910396386350115120740549089660835041108926674000369856766519116701657577553564666180653519372608152909676201441918987845770046907722431668817<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovJanuary 19, 2019 01:31:12 UTC 2019 年 1 月 19 日 (土) 10 時 31 分 12 秒 (日本時間)
5043e61550 / 7010550Dmitry DomanovJanuary 23, 2019 23:36:55 UTC 2019 年 1 月 24 日 (木) 8 時 36 分 55 秒 (日本時間)
1000Dmitry DomanovApril 4, 2019 22:00:46 UTC 2019 年 4 月 5 日 (金) 7 時 0 分 46 秒 (日本時間)

7×10297+839

c243

composite cofactor 合成数の残り
133554356460719480397552976805580546838717025018016582995485285400896631158865162923608086448258296047226681931629789286379569889400560183854571420534300702251281763634237515276186844468772465188094599570538809448565496465975940987409636216551<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovNovember 13, 2018 21:31:53 UTC 2018 年 11 月 14 日 (水) 6 時 31 分 53 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 19, 2019 10:36:56 UTC 2019 年 2 月 19 日 (火) 19 時 36 分 56 秒 (日本時間)
600Dmitry DomanovFebruary 27, 2019 12:43:55 UTC 2019 年 2 月 27 日 (水) 21 時 43 分 55 秒 (日本時間)
800Dmitry DomanovApril 4, 2019 11:11:17 UTC 2019 年 4 月 4 日 (木) 20 時 11 分 17 秒 (日本時間)

7×10298+839

c255

composite cofactor 合成数の残り
186774073818826346348337375213326006131497725198403067983618626654425809637460025005298513340817700470922547417600492073491617400920232095280889712695709774219068465453967318377129986321900397288959254083901872132449729837317135681287425337137387399143319<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 21, 2019 22:51:30 UTC 2019 年 1 月 22 日 (火) 7 時 51 分 30 秒 (日本時間)
5043e61664 / 7257864Dmitry DomanovFebruary 19, 2019 10:35:33 UTC 2019 年 2 月 19 日 (火) 19 時 35 分 33 秒 (日本時間)
800Dmitry DomanovApril 4, 2019 09:50:36 UTC 2019 年 4 月 4 日 (木) 18 時 50 分 36 秒 (日本時間)

7×10300+839

c286

composite cofactor 合成数の残り
2819702031282015897403538378177829945944434904759090804982014297141782724241133440475655505567165594519924077837786006881318468010978225262308427434149021969612413765050050937248945325132466237246650141461556124945847714370075554988635102881676045820387043201389021832810448328126046629<286>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovOctober 29, 2018 09:14:03 UTC 2018 年 10 月 29 日 (月) 18 時 14 分 3 秒 (日本時間)
5043e61560 / 7010560Dmitry DomanovNovember 4, 2018 17:16:09 UTC 2018 年 11 月 5 日 (月) 2 時 16 分 9 秒 (日本時間)
1000Dmitry DomanovApril 4, 2019 08:34:36 UTC 2019 年 4 月 4 日 (木) 17 時 34 分 36 秒 (日本時間)