Table of contents 目次

103×10107-13

c95

name 名前KTakahashi
date 日付December 19, 2014 13:01:18 UTC 2014 年 12 月 19 日 (金) 22 時 1 分 18 秒 (日本時間)
composite number 合成数
63401925797107120588212376127955573063498908745281343838617109921468767405543793244590300826441<95>
prime factors 素因数
2301377570747830854884573505314978507119<40>
27549554059703777344130162755176324485764373838372375239<56>
factorization results 素因数分解の結果
Number: 34333_107
N=63401925797107120588212376127955573063498908745281343838617109921468767405543793244590300826441
  ( 95 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=2301377570747830854884573505314978507119 (pp40)
 r2=27549554059703777344130162755176324485764373838372375239 (pp56)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.40 hours.
Scaled time: 2.44 units (timescale=1.742).
Factorization parameters were as follows:
n: 63401925797107120588212376127955573063498908745281343838617109921468767405543793244590300826441
m: 5000000000000000000000
c5: 412
c0: -125
skew: 0.79
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 : 66970 x 67209
Total sieving time: 1.36 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,111.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.40 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

103×10109-13

c108

name 名前KTakahashi
date 日付December 19, 2014 13:08:25 UTC 2014 年 12 月 19 日 (金) 22 時 8 分 25 秒 (日本時間)
composite number 合成数
140537590394323918679219538818392686587528994405785236730795470050484377131941601855641970255150770910083231<108>
prime factors 素因数
192525847584485610642713585331764603<36>
729967389613242336297089344353681473611207318761669231613069630553349677<72>
factorization results 素因数分解の結果
Number: 34333_109
N=140537590394323918679219538818392686587528994405785236730795470050484377131941601855641970255150770910083231
  ( 108 digits)
SNFS difficulty: 112 digits.
Divisors found:
 r1=192525847584485610642713585331764603 (pp36)
 r2=729967389613242336297089344353681473611207318761669231613069630553349677 (pp72)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.32 hours.
Scaled time: 2.74 units (timescale=2.075).
Factorization parameters were as follows:
n: 140537590394323918679219538818392686587528994405785236730795470050484377131941601855641970255150770910083231
m: 10000000000000000000000
c5: 103
c0: -10
skew: 0.63
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 : 84644 x 84869
Total sieving time: 1.28 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,112.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.32 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

103×10112-13

c99

name 名前KTakahashi
date 日付December 19, 2014 13:10:29 UTC 2014 年 12 月 19 日 (金) 22 時 10 分 29 秒 (日本時間)
composite number 合成数
243845298504547828214974900524286811918314526203756473130754918254239478100119155452181472312438997<99>
prime factors 素因数
526834876039142263409878044314059<33>
462849575065776108999663437481218994208434236883001716497526741983<66>
factorization results 素因数分解の結果
Number: 34333_112
N=243845298504547828214974900524286811918314526203756473130754918254239478100119155452181472312438997
  ( 99 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=526834876039142263409878044314059 (pp33)
 r2=462849575065776108999663437481218994208434236883001716497526741983 (pp66)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.42 hours.
Scaled time: 2.46 units (timescale=1.742).
Factorization parameters were as follows:
n: 243845298504547828214974900524286811918314526203756473130754918254239478100119155452181472312438997
m: 50000000000000000000000
c5: 412
c0: -125
skew: 0.79
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, 500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 89755 x 89981
Total sieving time: 1.37 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,116.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.42 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

103×10114-13

c113

name 名前KTakahashi
date 日付December 19, 2014 13:29:25 UTC 2014 年 12 月 19 日 (金) 22 時 29 分 25 秒 (日本時間)
composite number 合成数
26843888454521761793067500651550690643732082356007297367735209799322387281730518634349752410737555381808704717227<113>
prime factors 素因数
6569887923114170619734019405404149<34>
4085897471717840192835175677114663392435911237817310435276240875259552373608223<79>
factorization results 素因数分解の結果
Number: 34333_114
N=26843888454521761793067500651550690643732082356007297367735209799322387281730518634349752410737555381808704717227
  ( 113 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=6569887923114170619734019405404149 (pp34)
 r2=4085897471717840192835175677114663392435911237817310435276240875259552373608223 (pp79)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.64 hours.
Scaled time: 3.40 units (timescale=2.075).
Factorization parameters were as follows:
n: 26843888454521761793067500651550690643732082356007297367735209799322387281730518634349752410737555381808704717227
m: 100000000000000000000000
c5: 103
c0: -10
skew: 0.63
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 89193 x 89425
Total sieving time: 1.60 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,117.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.64 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

103×10119-13

c102

name 名前KTakahashi
date 日付December 19, 2014 13:43:14 UTC 2014 年 12 月 19 日 (金) 22 時 43 分 14 秒 (日本時間)
composite number 合成数
586603920962324851524969779299559251987869657918990232803025951198112760876566347653247822858533843761<102>
prime factors 素因数
1623605132875881882840563373850751203<37>
361297158455810557336763244494142537541050277040210493381567949787<66>
factorization results 素因数分解の結果
Number: 34333_119
N=586603920962324851524969779299559251987869657918990232803025951198112760876566347653247822858533843761
  ( 102 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=1623605132875881882840563373850751203 (pp37)
 r2=361297158455810557336763244494142537541050277040210493381567949787 (pp66)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.47 hours.
Scaled time: 4.18 units (timescale=1.691).
Factorization parameters were as follows:
n: 586603920962324851524969779299559251987869657918990232803025951198112760876566347653247822858533843761
m: 1000000000000000000000000
c5: 103
c0: -10
skew: 0.63
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, 500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 85021 x 85246
Total sieving time: 2.43 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,122.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.47 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

103×10120-13

c113

name 名前KTakahashi
date 日付December 19, 2014 13:43:49 UTC 2014 年 12 月 19 日 (金) 22 時 43 分 49 秒 (日本時間)
composite number 合成数
46590423284485169799876477389050822348585974478953954385675032714019818604402696662927323817195953393399434948361<113>
prime factors 素因数
192828408849909319590258704793868363383084797<45>
241615971227297090436720728468385995041029959753544173233371490518013<69>
factorization results 素因数分解の結果
Number: 34333_120
N=46590423284485169799876477389050822348585974478953954385675032714019818604402696662927323817195953393399434948361
  ( 113 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=192828408849909319590258704793868363383084797 (pp45)
 r2=241615971227297090436720728468385995041029959753544173233371490518013 (pp69)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.75 hours.
Scaled time: 4.71 units (timescale=1.714).
Factorization parameters were as follows:
n: 46590423284485169799876477389050822348585974478953954385675032714019818604402696662927323817195953393399434948361
m: 1000000000000000000000000
c5: 103
c0: -1
skew: 0.40
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, 500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 87120 x 87345
Total sieving time: 2.70 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,122.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.75 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

103×10125-13

c111

name 名前Cyp
date 日付December 20, 2014 01:47:46 UTC 2014 年 12 月 20 日 (土) 10 時 47 分 46 秒 (日本時間)
composite number 合成数
431310806616400400422357256756107900228821389021289017975641626240480736598871877002567885098666625266962296293<111>
prime factors 素因数
7986424934219876576081923324770301990600375798745333<52>
54005491840077170853295951032315012062766679400587469667121<59>
factorization results 素因数分解の結果
12/20/14 02:11:59 v1.34.3, 
12/20/14 02:11:59 v1.34.3, ****************************
12/20/14 02:11:59 v1.34.3, Starting factorization of 431310806616400400422357256756107900228821389021289017975641626240480736598871877002567885098666625266962296293
12/20/14 02:11:59 v1.34.3, using pretesting plan: none
12/20/14 02:11:59 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 02:11:59 v1.34.3, ****************************
12/20/14 02:11:59 v1.34.3, nfs: commencing nfs on c111: 431310806616400400422357256756107900228821389021289017975641626240480736598871877002567885098666625266962296293
12/20/14 02:11:59 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/20/14 02:11:59 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 02:12:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
[73 lines snipped]
12/20/14 02:44:17 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 02:44:37 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 02:44:56 v1.34.3, nfs: commencing msieve filtering
12/20/14 02:46:08 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 02:47:38 v1.34.3, nfs: commencing msieve sqrt
12/20/14 02:47:45 v1.34.3, prp59 = 54005491840077170853295951032315012062766679400587469667121
12/20/14 02:47:45 v1.34.3, prp52 = 7986424934219876576081923324770301990600375798745333
12/20/14 02:47:45 v1.34.3, NFS elapsed time = 2146.1309 seconds.
12/20/14 02:47:45 v1.34.3, 
12/20/14 02:47:45 v1.34.3, 
12/20/14 02:47:45 v1.34.3, Total factoring time = 2146.1319 seconds
--
Sat Dec 20 02:44:56 2014  
Sat Dec 20 02:44:56 2014  commencing relation filtering
Sat Dec 20 02:44:56 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 02:44:56 2014  commencing duplicate removal, pass 1
Sat Dec 20 02:45:18 2014  found 709025 hash collisions in 4509687 relations
Sat Dec 20 02:45:24 2014  added 166641 free relations
Sat Dec 20 02:45:24 2014  commencing duplicate removal, pass 2
Sat Dec 20 02:45:29 2014  found 580731 duplicates and 4095597 unique relations
Sat Dec 20 02:45:29 2014  memory use: 20.6 MB
Sat Dec 20 02:45:29 2014  reading ideals above 100000
Sat Dec 20 02:45:29 2014  commencing singleton removal, initial pass
Sat Dec 20 02:45:59 2014  memory use: 94.1 MB
Sat Dec 20 02:45:59 2014  reading all ideals from disk
Sat Dec 20 02:45:59 2014  memory use: 118.8 MB
Sat Dec 20 02:45:59 2014  keeping 4019364 ideals with weight <= 200, target excess is 21530
Sat Dec 20 02:45:59 2014  commencing in-memory singleton removal
Sat Dec 20 02:45:59 2014  begin with 4095597 relations and 4019364 unique ideals
Sat Dec 20 02:46:01 2014  reduce to 1999933 relations and 1334812 ideals in 9 passes
Sat Dec 20 02:46:01 2014  max relations containing the same ideal: 125
Sat Dec 20 02:46:02 2014  removing 788199 relations and 468126 ideals in 320073 cliques
Sat Dec 20 02:46:02 2014  commencing in-memory singleton removal
Sat Dec 20 02:46:02 2014  begin with 1211734 relations and 1334812 unique ideals
Sat Dec 20 02:46:02 2014  reduce to 1136319 relations and 781452 ideals in 6 passes
Sat Dec 20 02:46:02 2014  max relations containing the same ideal: 80
Sat Dec 20 02:46:02 2014  removing 400536 relations and 221109 ideals in 179427 cliques
Sat Dec 20 02:46:03 2014  commencing in-memory singleton removal
Sat Dec 20 02:46:03 2014  begin with 735783 relations and 781452 unique ideals
Sat Dec 20 02:46:03 2014  reduce to 705756 relations and 527556 ideals in 6 passes
Sat Dec 20 02:46:03 2014  max relations containing the same ideal: 58
Sat Dec 20 02:46:03 2014  removing 178699 relations and 99444 ideals in 79255 cliques
Sat Dec 20 02:46:03 2014  commencing in-memory singleton removal
Sat Dec 20 02:46:03 2014  begin with 527057 relations and 527556 unique ideals
Sat Dec 20 02:46:03 2014  reduce to 509688 relations and 409431 ideals in 5 passes
Sat Dec 20 02:46:03 2014  max relations containing the same ideal: 49
Sat Dec 20 02:46:03 2014  removing 123022 relations and 67976 ideals in 55046 cliques
Sat Dec 20 02:46:03 2014  commencing in-memory singleton removal
Sat Dec 20 02:46:03 2014  begin with 386666 relations and 409431 unique ideals
Sat Dec 20 02:46:03 2014  reduce to 373643 relations and 327454 ideals in 5 passes
Sat Dec 20 02:46:03 2014  max relations containing the same ideal: 38
Sat Dec 20 02:46:03 2014  removing 52190 relations and 30976 ideals in 21214 cliques
Sat Dec 20 02:46:03 2014  commencing in-memory singleton removal
Sat Dec 20 02:46:03 2014  begin with 321453 relations and 327454 unique ideals
Sat Dec 20 02:46:03 2014  reduce to 314952 relations and 289623 ideals in 5 passes
Sat Dec 20 02:46:03 2014  max relations containing the same ideal: 34
Sat Dec 20 02:46:03 2014  relations with 0 large ideals: 447
Sat Dec 20 02:46:03 2014  relations with 1 large ideals: 754
Sat Dec 20 02:46:03 2014  relations with 2 large ideals: 7569
Sat Dec 20 02:46:03 2014  relations with 3 large ideals: 31738
Sat Dec 20 02:46:03 2014  relations with 4 large ideals: 72205
Sat Dec 20 02:46:03 2014  relations with 5 large ideals: 91691
Sat Dec 20 02:46:03 2014  relations with 6 large ideals: 72431
Sat Dec 20 02:46:03 2014  relations with 7+ large ideals: 38117
Sat Dec 20 02:46:03 2014  commencing 2-way merge
Sat Dec 20 02:46:03 2014  reduce to 262037 relation sets and 236708 unique ideals
Sat Dec 20 02:46:03 2014  commencing full merge
Sat Dec 20 02:46:06 2014  memory use: 26.5 MB
Sat Dec 20 02:46:06 2014  found 118145 cycles, need 114908
Sat Dec 20 02:46:06 2014  weight of 114908 cycles is about 8337564 (72.56/cycle)
Sat Dec 20 02:46:06 2014  distribution of cycle lengths:
Sat Dec 20 02:46:06 2014  1 relations: 3360
Sat Dec 20 02:46:06 2014  2 relations: 8188
Sat Dec 20 02:46:06 2014  3 relations: 11230
Sat Dec 20 02:46:06 2014  4 relations: 12066
Sat Dec 20 02:46:06 2014  5 relations: 11948
Sat Dec 20 02:46:06 2014  6 relations: 11264
Sat Dec 20 02:46:06 2014  7 relations: 10242
Sat Dec 20 02:46:06 2014  8 relations: 9184
Sat Dec 20 02:46:06 2014  9 relations: 7758
Sat Dec 20 02:46:06 2014  10+ relations: 29668
Sat Dec 20 02:46:06 2014  heaviest cycle: 21 relations
Sat Dec 20 02:46:06 2014  commencing cycle optimization
Sat Dec 20 02:46:06 2014  start with 821771 relations
Sat Dec 20 02:46:08 2014  pruned 48544 relations
Sat Dec 20 02:46:08 2014  memory use: 21.5 MB
Sat Dec 20 02:46:08 2014  distribution of cycle lengths:
Sat Dec 20 02:46:08 2014  1 relations: 3360
Sat Dec 20 02:46:08 2014  2 relations: 8511
Sat Dec 20 02:46:08 2014  3 relations: 12029
Sat Dec 20 02:46:08 2014  4 relations: 12851
Sat Dec 20 02:46:08 2014  5 relations: 12910
Sat Dec 20 02:46:08 2014  6 relations: 11993
Sat Dec 20 02:46:08 2014  7 relations: 11001
Sat Dec 20 02:46:08 2014  8 relations: 9468
Sat Dec 20 02:46:08 2014  9 relations: 7933
Sat Dec 20 02:46:08 2014  10+ relations: 24852
Sat Dec 20 02:46:08 2014  heaviest cycle: 21 relations
Sat Dec 20 02:46:08 2014  RelProcTime: 72
Sat Dec 20 02:46:08 2014  
Sat Dec 20 02:46:08 2014  commencing linear algebra
Sat Dec 20 02:46:08 2014  read 114908 cycles
Sat Dec 20 02:46:08 2014  cycles contain 304628 unique relations
Sat Dec 20 02:46:12 2014  read 304628 relations
Sat Dec 20 02:46:12 2014  using 20 quadratic characters above 66960210
Sat Dec 20 02:46:13 2014  building initial matrix
Sat Dec 20 02:46:15 2014  memory use: 37.6 MB
Sat Dec 20 02:46:15 2014  read 114908 cycles
Sat Dec 20 02:46:15 2014  matrix is 114731 x 114908 (34.0 MB) with weight 10315193 (89.77/col)
Sat Dec 20 02:46:15 2014  sparse part has weight 7652472 (66.60/col)
Sat Dec 20 02:46:16 2014  filtering completed in 2 passes
Sat Dec 20 02:46:16 2014  matrix is 114704 x 114881 (34.0 MB) with weight 10314014 (89.78/col)
Sat Dec 20 02:46:16 2014  sparse part has weight 7651936 (66.61/col)
Sat Dec 20 02:46:16 2014  matrix starts at (0, 0)
Sat Dec 20 02:46:16 2014  matrix is 114704 x 114881 (34.0 MB) with weight 10314014 (89.78/col)
Sat Dec 20 02:46:16 2014  sparse part has weight 7651936 (66.61/col)
Sat Dec 20 02:46:16 2014  saving the first 48 matrix rows for later
Sat Dec 20 02:46:16 2014  matrix includes 64 packed rows
Sat Dec 20 02:46:16 2014  matrix is 114656 x 114881 (31.9 MB) with weight 8073191 (70.27/col)
Sat Dec 20 02:46:16 2014  sparse part has weight 7209882 (62.76/col)
Sat Dec 20 02:46:16 2014  using block size 45862 for processor cache size 8192 kB
Sat Dec 20 02:46:16 2014  commencing Lanczos iteration
Sat Dec 20 02:46:16 2014  memory use: 23.7 MB
Sat Dec 20 02:46:25 2014  linear algebra at 10.6%, ETA 0h 1m
Sat Dec 20 02:47:38 2014  lanczos halted after 1814 iterations (dim = 114654)
Sat Dec 20 02:47:38 2014  recovered 35 nontrivial dependencies
Sat Dec 20 02:47:38 2014  BLanczosTime: 90
Sat Dec 20 02:47:38 2014  
Sat Dec 20 02:47:38 2014  commencing square root phase
Sat Dec 20 02:47:38 2014  reading relations for dependency 1
Sat Dec 20 02:47:38 2014  read 57359 cycles
Sat Dec 20 02:47:38 2014  cycles contain 152076 unique relations
Sat Dec 20 02:47:41 2014  read 152076 relations
Sat Dec 20 02:47:41 2014  multiplying 152076 relations
Sat Dec 20 02:47:43 2014  multiply complete, coefficients have about 3.75 million bits
Sat Dec 20 02:47:43 2014  initial square root is modulo 426238591
Sat Dec 20 02:47:45 2014  sqrtTime: 7
--
n: 431310806616400400422357256756107900228821389021289017975641626240480736598871877002567885098666625266962296293
m: 10000000000000000000000000
deg: 5
c5: 103
c0: -1
skew: 0.40
# Murphy_E = 1.1e-08
type: snfs
lss: 1
rlim: 920000
alim: 920000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
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
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:24 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 24 秒 (日本時間)

103×10129-13

c127

name 名前Cyp
date 日付December 20, 2014 05:55:14 UTC 2014 年 12 月 20 日 (土) 14 時 55 分 14 秒 (日本時間)
composite number 合成数
6043536935985448571260928240333274658217449979463709440826145631637622484304406501202839875608754327289796397347884762072405093<127>
prime factors 素因数
17377297348338461853819891713284932715740474561905744483670119<62>
347783479492759217189167514425102530781555710910771514983773150547<66>
factorization results 素因数分解の結果
12/20/14 06:14:46 v1.34.3, 
12/20/14 06:14:46 v1.34.3, ****************************
12/20/14 06:14:46 v1.34.3, Starting factorization of 6043536935985448571260928240333274658217449979463709440826145631637622484304406501202839875608754327289796397347884762072405093
12/20/14 06:14:46 v1.34.3, using pretesting plan: none
12/20/14 06:14:46 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 06:14:46 v1.34.3, ****************************
12/20/14 06:14:46 v1.34.3, nfs: commencing nfs on c127: 6043536935985448571260928240333274658217449979463709440826145631637622484304406501202839875608754327289796397347884762072405093
12/20/14 06:14:46 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/20/14 06:14:46 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 06:15:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
[26 lines snipped]
12/20/14 06:49:28 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 06:50:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 06:52:01 v1.34.3, nfs: commencing msieve filtering
12/20/14 06:53:17 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 06:54:58 v1.34.3, nfs: commencing msieve sqrt
12/20/14 06:55:13 v1.34.3, prp66 = 347783479492759217189167514425102530781555710910771514983773150547
12/20/14 06:55:13 v1.34.3, prp62 = 17377297348338461853819891713284932715740474561905744483670119
12/20/14 06:55:13 v1.34.3, NFS elapsed time = 2427.7817 seconds.
12/20/14 06:55:13 v1.34.3, 
12/20/14 06:55:13 v1.34.3, 
12/20/14 06:55:13 v1.34.3, Total factoring time = 2427.7828 seconds
--
Sat Dec 20 06:52:01 2014  
Sat Dec 20 06:52:01 2014  commencing relation filtering
Sat Dec 20 06:52:01 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 06:52:01 2014  commencing duplicate removal, pass 1
Sat Dec 20 06:52:22 2014  found 582829 hash collisions in 4543581 relations
Sat Dec 20 06:52:29 2014  added 173435 free relations
Sat Dec 20 06:52:29 2014  commencing duplicate removal, pass 2
Sat Dec 20 06:52:34 2014  found 399333 duplicates and 4317683 unique relations
Sat Dec 20 06:52:34 2014  memory use: 20.6 MB
Sat Dec 20 06:52:34 2014  reading ideals above 100000
Sat Dec 20 06:52:34 2014  commencing singleton removal, initial pass
Sat Dec 20 06:53:06 2014  memory use: 94.1 MB
Sat Dec 20 06:53:06 2014  reading all ideals from disk
Sat Dec 20 06:53:06 2014  memory use: 129.7 MB
Sat Dec 20 06:53:07 2014  keeping 4226609 ideals with weight <= 200, target excess is 23118
Sat Dec 20 06:53:07 2014  commencing in-memory singleton removal
Sat Dec 20 06:53:07 2014  begin with 4317683 relations and 4226609 unique ideals
Sat Dec 20 06:53:09 2014  reduce to 2141035 relations and 1467201 ideals in 10 passes
Sat Dec 20 06:53:09 2014  max relations containing the same ideal: 125
Sat Dec 20 06:53:09 2014  removing 813924 relations and 490415 ideals in 323509 cliques
Sat Dec 20 06:53:10 2014  commencing in-memory singleton removal
Sat Dec 20 06:53:10 2014  begin with 1327111 relations and 1467201 unique ideals
Sat Dec 20 06:53:10 2014  reduce to 1238049 relations and 875791 ideals in 7 passes
Sat Dec 20 06:53:10 2014  max relations containing the same ideal: 94
Sat Dec 20 06:53:11 2014  removing 480342 relations and 268458 ideals in 211884 cliques
Sat Dec 20 06:53:11 2014  commencing in-memory singleton removal
Sat Dec 20 06:53:11 2014  begin with 757707 relations and 875791 unique ideals
Sat Dec 20 06:53:11 2014  reduce to 713240 relations and 558333 ideals in 7 passes
Sat Dec 20 06:53:11 2014  max relations containing the same ideal: 58
Sat Dec 20 06:53:11 2014  removing 213996 relations and 121972 ideals in 92024 cliques
Sat Dec 20 06:53:11 2014  commencing in-memory singleton removal
Sat Dec 20 06:53:11 2014  begin with 499244 relations and 558333 unique ideals
Sat Dec 20 06:53:11 2014  reduce to 469267 relations and 403711 ideals in 6 passes
Sat Dec 20 06:53:11 2014  max relations containing the same ideal: 43
Sat Dec 20 06:53:11 2014  removing 99014 relations and 60275 ideals in 38739 cliques
Sat Dec 20 06:53:11 2014  commencing in-memory singleton removal
Sat Dec 20 06:53:11 2014  begin with 370253 relations and 403711 unique ideals
Sat Dec 20 06:53:11 2014  reduce to 352793 relations and 324644 ideals in 7 passes
Sat Dec 20 06:53:11 2014  max relations containing the same ideal: 35
Sat Dec 20 06:53:12 2014  relations with 0 large ideals: 519
Sat Dec 20 06:53:12 2014  relations with 1 large ideals: 611
Sat Dec 20 06:53:12 2014  relations with 2 large ideals: 6148
Sat Dec 20 06:53:12 2014  relations with 3 large ideals: 28848
Sat Dec 20 06:53:12 2014  relations with 4 large ideals: 71015
Sat Dec 20 06:53:12 2014  relations with 5 large ideals: 100232
Sat Dec 20 06:53:12 2014  relations with 6 large ideals: 88736
Sat Dec 20 06:53:12 2014  relations with 7+ large ideals: 56684
Sat Dec 20 06:53:12 2014  commencing 2-way merge
Sat Dec 20 06:53:12 2014  reduce to 273078 relation sets and 244929 unique ideals
Sat Dec 20 06:53:12 2014  commencing full merge
Sat Dec 20 06:53:15 2014  memory use: 29.0 MB
Sat Dec 20 06:53:15 2014  found 127463 cycles, need 123129
Sat Dec 20 06:53:15 2014  weight of 123129 cycles is about 8721558 (70.83/cycle)
Sat Dec 20 06:53:15 2014  distribution of cycle lengths:
Sat Dec 20 06:53:15 2014  1 relations: 6780
Sat Dec 20 06:53:15 2014  2 relations: 10587
Sat Dec 20 06:53:15 2014  3 relations: 12959
Sat Dec 20 06:53:15 2014  4 relations: 12950
Sat Dec 20 06:53:15 2014  5 relations: 12723
Sat Dec 20 06:53:15 2014  6 relations: 11590
Sat Dec 20 06:53:15 2014  7 relations: 10616
Sat Dec 20 06:53:15 2014  8 relations: 9000
Sat Dec 20 06:53:15 2014  9 relations: 7630
Sat Dec 20 06:53:15 2014  10+ relations: 28294
Sat Dec 20 06:53:15 2014  heaviest cycle: 21 relations
Sat Dec 20 06:53:15 2014  commencing cycle optimization
Sat Dec 20 06:53:15 2014  start with 824153 relations
Sat Dec 20 06:53:17 2014  pruned 43217 relations
Sat Dec 20 06:53:17 2014  memory use: 22.7 MB
Sat Dec 20 06:53:17 2014  distribution of cycle lengths:
Sat Dec 20 06:53:17 2014  1 relations: 6780
Sat Dec 20 06:53:17 2014  2 relations: 10955
Sat Dec 20 06:53:17 2014  3 relations: 13737
Sat Dec 20 06:53:17 2014  4 relations: 13709
Sat Dec 20 06:53:17 2014  5 relations: 13666
Sat Dec 20 06:53:17 2014  6 relations: 12333
Sat Dec 20 06:53:17 2014  7 relations: 11165
Sat Dec 20 06:53:17 2014  8 relations: 9194
Sat Dec 20 06:53:17 2014  9 relations: 7582
Sat Dec 20 06:53:17 2014  10+ relations: 24008
Sat Dec 20 06:53:17 2014  heaviest cycle: 20 relations
Sat Dec 20 06:53:17 2014  RelProcTime: 76
Sat Dec 20 06:53:17 2014  
Sat Dec 20 06:53:17 2014  commencing linear algebra
Sat Dec 20 06:53:17 2014  read 123129 cycles
Sat Dec 20 06:53:17 2014  cycles contain 335617 unique relations
Sat Dec 20 06:53:22 2014  read 335617 relations
Sat Dec 20 06:53:23 2014  using 20 quadratic characters above 66944322
Sat Dec 20 06:53:24 2014  building initial matrix
Sat Dec 20 06:53:28 2014  memory use: 42.3 MB
Sat Dec 20 06:53:28 2014  read 123129 cycles
Sat Dec 20 06:53:28 2014  matrix is 122956 x 123129 (36.0 MB) with weight 11006536 (89.39/col)
Sat Dec 20 06:53:28 2014  sparse part has weight 8080628 (65.63/col)
Sat Dec 20 06:53:28 2014  filtering completed in 2 passes
Sat Dec 20 06:53:28 2014  matrix is 122900 x 123073 (36.0 MB) with weight 11003551 (89.41/col)
Sat Dec 20 06:53:28 2014  sparse part has weight 8079055 (65.64/col)
Sat Dec 20 06:53:29 2014  matrix starts at (0, 0)
Sat Dec 20 06:53:29 2014  matrix is 122900 x 123073 (36.0 MB) with weight 11003551 (89.41/col)
Sat Dec 20 06:53:29 2014  sparse part has weight 8079055 (65.64/col)
Sat Dec 20 06:53:29 2014  saving the first 48 matrix rows for later
Sat Dec 20 06:53:29 2014  matrix includes 64 packed rows
Sat Dec 20 06:53:29 2014  matrix is 122852 x 123073 (33.9 MB) with weight 8544817 (69.43/col)
Sat Dec 20 06:53:29 2014  sparse part has weight 7643787 (62.11/col)
Sat Dec 20 06:53:29 2014  using block size 49140 for processor cache size 8192 kB
Sat Dec 20 06:53:29 2014  commencing Lanczos iteration
Sat Dec 20 06:53:29 2014  memory use: 25.3 MB
Sat Dec 20 06:53:38 2014  linear algebra at 9.9%, ETA 0h 1m
Sat Dec 20 06:54:58 2014  lanczos halted after 1944 iterations (dim = 122844)
Sat Dec 20 06:54:58 2014  recovered 33 nontrivial dependencies
Sat Dec 20 06:54:58 2014  BLanczosTime: 101
Sat Dec 20 06:54:58 2014  
Sat Dec 20 06:54:58 2014  commencing square root phase
Sat Dec 20 06:54:58 2014  reading relations for dependency 1
Sat Dec 20 06:54:58 2014  read 61794 cycles
Sat Dec 20 06:54:58 2014  cycles contain 168272 unique relations
Sat Dec 20 06:55:03 2014  read 168272 relations
Sat Dec 20 06:55:04 2014  multiplying 168272 relations
Sat Dec 20 06:55:07 2014  multiply complete, coefficients have about 4.35 million bits
Sat Dec 20 06:55:08 2014  initial square root is modulo 101021
Sat Dec 20 06:55:13 2014  sqrtTime: 15
--
n: 6043536935985448571260928240333274658217449979463709440826145631637622484304406501202839875608754327289796397347884762072405093
m: 100000000000000000000000000
deg: 5
c5: 103
c0: -10
skew: 0.63
# Murphy_E = 6.49e-09
type: snfs
lss: 1
rlim: 1110000
alim: 1110000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
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
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:29 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 29 秒 (日本時間)

103×10131-13

c128

name 名前Cyp
date 日付December 20, 2014 07:54:09 UTC 2014 年 12 月 20 日 (土) 16 時 54 分 9 秒 (日本時間)
composite number 合成数
71921849578593823100180852029522871846436377093938314794254631278323592461472931548554231169393412517194908212357989260601490109<128>
prime factors 素因数
16966358869602358093635331620841711394688563625541<50>
4239085718471512044971680125958306107021302182577633646174072344218275387354649<79>
factorization results 素因数分解の結果
12/20/14 08:02:38 v1.34.3, 
12/20/14 08:02:38 v1.34.3, ****************************
12/20/14 08:02:38 v1.34.3, Starting factorization of 71921849578593823100180852029522871846436377093938314794254631278323592461472931548554231169393412517194908212357989260601490109
12/20/14 08:02:38 v1.34.3, using pretesting plan: none
12/20/14 08:02:38 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 08:02:38 v1.34.3, ****************************
12/20/14 08:02:38 v1.34.3, nfs: commencing nfs on c128: 71921849578593823100180852029522871846436377093938314794254631278323592461472931548554231169393412517194908212357989260601490109
12/20/14 08:02:38 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/20/14 08:02:38 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 08:03:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
[36 lines snipped]
12/20/14 08:47:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 08:48:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 08:50:05 v1.34.3, nfs: commencing msieve filtering
12/20/14 08:51:17 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 08:53:51 v1.34.3, nfs: commencing msieve sqrt
12/20/14 08:54:08 v1.34.3, prp50 = 16966358869602358093635331620841711394688563625541
12/20/14 08:54:09 v1.34.3, prp79 = 4239085718471512044971680125958306107021302182577633646174072344218275387354649
12/20/14 08:54:09 v1.34.3, NFS elapsed time = 3090.7081 seconds.
12/20/14 08:54:09 v1.34.3, 
12/20/14 08:54:09 v1.34.3, 
12/20/14 08:54:09 v1.34.3, Total factoring time = 3090.7094 seconds
--
Sat Dec 20 08:50:05 2014  
Sat Dec 20 08:50:05 2014  commencing relation filtering
Sat Dec 20 08:50:05 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 08:50:05 2014  commencing duplicate removal, pass 1
Sat Dec 20 08:50:22 2014  found 634866 hash collisions in 4524359 relations
Sat Dec 20 08:50:28 2014  added 172432 free relations
Sat Dec 20 08:50:28 2014  commencing duplicate removal, pass 2
Sat Dec 20 08:50:34 2014  found 473562 duplicates and 4223229 unique relations
Sat Dec 20 08:50:34 2014  memory use: 20.6 MB
Sat Dec 20 08:50:34 2014  reading ideals above 100000
Sat Dec 20 08:50:34 2014  commencing singleton removal, initial pass
Sat Dec 20 08:51:04 2014  memory use: 94.1 MB
Sat Dec 20 08:51:04 2014  reading all ideals from disk
Sat Dec 20 08:51:04 2014  memory use: 129.1 MB
Sat Dec 20 08:51:05 2014  keeping 4241345 ideals with weight <= 200, target excess is 22969
Sat Dec 20 08:51:05 2014  commencing in-memory singleton removal
Sat Dec 20 08:51:05 2014  begin with 4223229 relations and 4241345 unique ideals
Sat Dec 20 08:51:07 2014  reduce to 2032449 relations and 1460261 ideals in 9 passes
Sat Dec 20 08:51:07 2014  max relations containing the same ideal: 126
Sat Dec 20 08:51:08 2014  removing 717206 relations and 444434 ideals in 272772 cliques
Sat Dec 20 08:51:08 2014  commencing in-memory singleton removal
Sat Dec 20 08:51:08 2014  begin with 1315243 relations and 1460261 unique ideals
Sat Dec 20 08:51:09 2014  reduce to 1222291 relations and 910613 ideals in 7 passes
Sat Dec 20 08:51:09 2014  max relations containing the same ideal: 87
Sat Dec 20 08:51:09 2014  removing 544445 relations and 308776 ideals in 235669 cliques
Sat Dec 20 08:51:09 2014  commencing in-memory singleton removal
Sat Dec 20 08:51:09 2014  begin with 677846 relations and 910613 unique ideals
Sat Dec 20 08:51:09 2014  reduce to 617205 relations and 533929 ideals in 7 passes
Sat Dec 20 08:51:09 2014  max relations containing the same ideal: 51
Sat Dec 20 08:51:10 2014  removing 151258 relations and 94627 ideals in 56631 cliques
Sat Dec 20 08:51:10 2014  commencing in-memory singleton removal
Sat Dec 20 08:51:10 2014  begin with 465947 relations and 533929 unique ideals
Sat Dec 20 08:51:10 2014  reduce to 437146 relations and 407903 ideals in 6 passes
Sat Dec 20 08:51:10 2014  max relations containing the same ideal: 39
Sat Dec 20 08:51:10 2014  relations with 0 large ideals: 494
Sat Dec 20 08:51:10 2014  relations with 1 large ideals: 478
Sat Dec 20 08:51:10 2014  relations with 2 large ideals: 4900
Sat Dec 20 08:51:10 2014  relations with 3 large ideals: 26060
Sat Dec 20 08:51:10 2014  relations with 4 large ideals: 74011
Sat Dec 20 08:51:10 2014  relations with 5 large ideals: 119443
Sat Dec 20 08:51:10 2014  relations with 6 large ideals: 120979
Sat Dec 20 08:51:10 2014  relations with 7+ large ideals: 90781
Sat Dec 20 08:51:10 2014  commencing 2-way merge
Sat Dec 20 08:51:10 2014  reduce to 326394 relation sets and 297151 unique ideals
Sat Dec 20 08:51:10 2014  commencing full merge
Sat Dec 20 08:51:15 2014  memory use: 36.3 MB
Sat Dec 20 08:51:15 2014  found 154799 cycles, need 149351
Sat Dec 20 08:51:15 2014  weight of 149351 cycles is about 10624840 (71.14/cycle)
Sat Dec 20 08:51:15 2014  distribution of cycle lengths:
Sat Dec 20 08:51:15 2014  1 relations: 8197
Sat Dec 20 08:51:15 2014  2 relations: 13058
Sat Dec 20 08:51:15 2014  3 relations: 15917
Sat Dec 20 08:51:15 2014  4 relations: 16035
Sat Dec 20 08:51:15 2014  5 relations: 15822
Sat Dec 20 08:51:15 2014  6 relations: 14373
Sat Dec 20 08:51:15 2014  7 relations: 12709
Sat Dec 20 08:51:15 2014  8 relations: 10875
Sat Dec 20 08:51:15 2014  9 relations: 9444
Sat Dec 20 08:51:15 2014  10+ relations: 32921
Sat Dec 20 08:51:15 2014  heaviest cycle: 21 relations
Sat Dec 20 08:51:15 2014  commencing cycle optimization
Sat Dec 20 08:51:15 2014  start with 983988 relations
Sat Dec 20 08:51:17 2014  pruned 47572 relations
Sat Dec 20 08:51:17 2014  memory use: 27.7 MB
Sat Dec 20 08:51:17 2014  distribution of cycle lengths:
Sat Dec 20 08:51:17 2014  1 relations: 8197
Sat Dec 20 08:51:17 2014  2 relations: 13477
Sat Dec 20 08:51:17 2014  3 relations: 16866
Sat Dec 20 08:51:17 2014  4 relations: 17002
Sat Dec 20 08:51:17 2014  5 relations: 16907
Sat Dec 20 08:51:17 2014  6 relations: 15055
Sat Dec 20 08:51:17 2014  7 relations: 13254
Sat Dec 20 08:51:17 2014  8 relations: 11065
Sat Dec 20 08:51:17 2014  9 relations: 9354
Sat Dec 20 08:51:17 2014  10+ relations: 28174
Sat Dec 20 08:51:17 2014  heaviest cycle: 20 relations
Sat Dec 20 08:51:17 2014  RelProcTime: 72
Sat Dec 20 08:51:17 2014  
Sat Dec 20 08:51:17 2014  commencing linear algebra
Sat Dec 20 08:51:17 2014  read 149351 cycles
Sat Dec 20 08:51:17 2014  cycles contain 413806 unique relations
Sat Dec 20 08:51:23 2014  read 413806 relations
Sat Dec 20 08:51:23 2014  using 20 quadratic characters above 66987704
Sat Dec 20 08:51:25 2014  building initial matrix
Sat Dec 20 08:51:30 2014  memory use: 50.4 MB
Sat Dec 20 08:51:30 2014  read 149351 cycles
Sat Dec 20 08:51:30 2014  matrix is 149171 x 149351 (44.0 MB) with weight 13169157 (88.18/col)
Sat Dec 20 08:51:30 2014  sparse part has weight 9890823 (66.23/col)
Sat Dec 20 08:51:31 2014  filtering completed in 2 passes
Sat Dec 20 08:51:31 2014  matrix is 149093 x 149273 (44.0 MB) with weight 13165139 (88.20/col)
Sat Dec 20 08:51:31 2014  sparse part has weight 9888614 (66.25/col)
Sat Dec 20 08:51:31 2014  matrix starts at (0, 0)
Sat Dec 20 08:51:31 2014  matrix is 149093 x 149273 (44.0 MB) with weight 13165139 (88.20/col)
Sat Dec 20 08:51:31 2014  sparse part has weight 9888614 (66.25/col)
Sat Dec 20 08:51:31 2014  saving the first 48 matrix rows for later
Sat Dec 20 08:51:31 2014  matrix includes 64 packed rows
Sat Dec 20 08:51:31 2014  matrix is 149045 x 149273 (41.2 MB) with weight 10296938 (68.98/col)
Sat Dec 20 08:51:31 2014  sparse part has weight 9300632 (62.31/col)
Sat Dec 20 08:51:31 2014  using block size 59618 for processor cache size 8192 kB
Sat Dec 20 08:51:32 2014  commencing Lanczos iteration
Sat Dec 20 08:51:32 2014  memory use: 31.0 MB
Sat Dec 20 08:51:44 2014  linear algebra at 8.1%, ETA 0h 2m
Sat Dec 20 08:53:51 2014  lanczos halted after 2359 iterations (dim = 149042)
Sat Dec 20 08:53:51 2014  recovered 35 nontrivial dependencies
Sat Dec 20 08:53:51 2014  BLanczosTime: 154
Sat Dec 20 08:53:51 2014  
Sat Dec 20 08:53:51 2014  commencing square root phase
Sat Dec 20 08:53:51 2014  reading relations for dependency 1
Sat Dec 20 08:53:51 2014  read 74927 cycles
Sat Dec 20 08:53:51 2014  cycles contain 207428 unique relations
Sat Dec 20 08:53:54 2014  read 207428 relations
Sat Dec 20 08:53:55 2014  multiplying 207428 relations
Sat Dec 20 08:54:00 2014  multiply complete, coefficients have about 5.93 million bits
Sat Dec 20 08:54:01 2014  initial square root is modulo 6677641
Sat Dec 20 08:54:08 2014  sqrtTime: 17
--
n: 71921849578593823100180852029522871846436377093938314794254631278323592461472931548554231169393412517194908212357989260601490109
m: 100000000000000000000000000
deg: 5
c5: 1030
c0: -1
skew: 0.25
# Murphy_E = 5.529e-09
type: snfs
lss: 1
rlim: 1150000
alim: 1150000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
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
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:30 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 30 秒 (日本時間)

103×10132-13

c127

name 名前Cyp
date 日付December 20, 2014 10:28:08 UTC 2014 年 12 月 20 日 (土) 19 時 28 分 8 秒 (日本時間)
composite number 合成数
7001725755453919501498879146066807748041743065351457062528605958441426723303150457093730471218182679647458349758498242668802261<127>
prime factors 素因数
2452841570400916037473075232824168864562441<43>
2854536485334228107107774302971623515546917068092859677173860701495425919875888551021<85>
factorization results 素因数分解の結果
12/20/14 10:40:06 v1.34.3, 
12/20/14 10:40:06 v1.34.3, ****************************
12/20/14 10:40:06 v1.34.3, Starting factorization of 7001725755453919501498879146066807748041743065351457062528605958441426723303150457093730471218182679647458349758498242668802261
12/20/14 10:40:06 v1.34.3, using pretesting plan: none
12/20/14 10:40:06 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 10:40:06 v1.34.3, ****************************
12/20/14 10:40:06 v1.34.3, nfs: commencing nfs on c127: 7001725755453919501498879146066807748041743065351457062528605958441426723303150457093730471218182679647458349758498242668802261
12/20/14 10:40:06 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/20/14 10:40:06 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 10:41:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
[30 lines snipped]
12/20/14 11:21:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 11:22:36 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 11:24:00 v1.34.3, nfs: commencing msieve filtering
12/20/14 11:25:10 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 11:27:31 v1.34.3, nfs: commencing msieve sqrt
12/20/14 11:28:08 v1.34.3, prp85 = 2854536485334228107107774302971623515546917068092859677173860701495425919875888551021
12/20/14 11:28:08 v1.34.3, prp43 = 2452841570400916037473075232824168864562441
12/20/14 11:28:08 v1.34.3, NFS elapsed time = 2881.8125 seconds.
12/20/14 11:28:08 v1.34.3, 
12/20/14 11:28:08 v1.34.3, 
12/20/14 11:28:08 v1.34.3, Total factoring time = 2881.8137 seconds
--
Sat Dec 20 11:24:00 2014  
Sat Dec 20 11:24:00 2014  commencing relation filtering
Sat Dec 20 11:24:00 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 11:24:00 2014  commencing duplicate removal, pass 1
Sat Dec 20 11:24:22 2014  found 587608 hash collisions in 4482674 relations
Sat Dec 20 11:24:29 2014  added 173353 free relations
Sat Dec 20 11:24:29 2014  commencing duplicate removal, pass 2
Sat Dec 20 11:24:34 2014  found 414261 duplicates and 4241766 unique relations
Sat Dec 20 11:24:34 2014  memory use: 20.6 MB
Sat Dec 20 11:24:34 2014  reading ideals above 100000
Sat Dec 20 11:24:34 2014  commencing singleton removal, initial pass
Sat Dec 20 11:25:01 2014  memory use: 94.1 MB
Sat Dec 20 11:25:01 2014  reading all ideals from disk
Sat Dec 20 11:25:01 2014  memory use: 128.7 MB
Sat Dec 20 11:25:01 2014  keeping 4241095 ideals with weight <= 200, target excess is 22697
Sat Dec 20 11:25:01 2014  commencing in-memory singleton removal
Sat Dec 20 11:25:01 2014  begin with 4241766 relations and 4241095 unique ideals
Sat Dec 20 11:25:02 2014  reduce to 2053919 relations and 1461068 ideals in 9 passes
Sat Dec 20 11:25:02 2014  max relations containing the same ideal: 125
Sat Dec 20 11:25:02 2014  removing 737716 relations and 454455 ideals in 283261 cliques
Sat Dec 20 11:25:02 2014  commencing in-memory singleton removal
Sat Dec 20 11:25:02 2014  begin with 1316203 relations and 1461068 unique ideals
Sat Dec 20 11:25:03 2014  reduce to 1223049 relations and 901165 ideals in 7 passes
Sat Dec 20 11:25:03 2014  max relations containing the same ideal: 88
Sat Dec 20 11:25:03 2014  removing 533803 relations and 301942 ideals in 231861 cliques
Sat Dec 20 11:25:03 2014  commencing in-memory singleton removal
Sat Dec 20 11:25:03 2014  begin with 689246 relations and 901165 unique ideals
Sat Dec 20 11:25:03 2014  reduce to 630678 relations and 533756 ideals in 7 passes
Sat Dec 20 11:25:03 2014  max relations containing the same ideal: 53
Sat Dec 20 11:25:03 2014  removing 179212 relations and 108619 ideals in 70593 cliques
Sat Dec 20 11:25:03 2014  commencing in-memory singleton removal
Sat Dec 20 11:25:03 2014  begin with 451466 relations and 533756 unique ideals
Sat Dec 20 11:25:03 2014  reduce to 416478 relations and 386491 ideals in 7 passes
Sat Dec 20 11:25:03 2014  max relations containing the same ideal: 39
Sat Dec 20 11:25:03 2014  relations with 0 large ideals: 513
Sat Dec 20 11:25:03 2014  relations with 1 large ideals: 489
Sat Dec 20 11:25:03 2014  relations with 2 large ideals: 5390
Sat Dec 20 11:25:03 2014  relations with 3 large ideals: 27643
Sat Dec 20 11:25:03 2014  relations with 4 large ideals: 73788
Sat Dec 20 11:25:03 2014  relations with 5 large ideals: 115296
Sat Dec 20 11:25:03 2014  relations with 6 large ideals: 111630
Sat Dec 20 11:25:03 2014  relations with 7+ large ideals: 81729
Sat Dec 20 11:25:03 2014  commencing 2-way merge
Sat Dec 20 11:25:04 2014  reduce to 313010 relation sets and 283023 unique ideals
Sat Dec 20 11:25:04 2014  commencing full merge
Sat Dec 20 11:25:08 2014  memory use: 34.1 MB
Sat Dec 20 11:25:08 2014  found 147552 cycles, need 141223
Sat Dec 20 11:25:08 2014  weight of 141223 cycles is about 9887425 (70.01/cycle)
Sat Dec 20 11:25:08 2014  distribution of cycle lengths:
Sat Dec 20 11:25:08 2014  1 relations: 8632
Sat Dec 20 11:25:08 2014  2 relations: 13126
Sat Dec 20 11:25:08 2014  3 relations: 15559
Sat Dec 20 11:25:08 2014  4 relations: 15616
Sat Dec 20 11:25:08 2014  5 relations: 15166
Sat Dec 20 11:25:08 2014  6 relations: 13454
Sat Dec 20 11:25:08 2014  7 relations: 11775
Sat Dec 20 11:25:08 2014  8 relations: 9894
Sat Dec 20 11:25:08 2014  9 relations: 8353
Sat Dec 20 11:25:08 2014  10+ relations: 29648
Sat Dec 20 11:25:08 2014  heaviest cycle: 20 relations
Sat Dec 20 11:25:08 2014  commencing cycle optimization
Sat Dec 20 11:25:08 2014  start with 907015 relations
Sat Dec 20 11:25:10 2014  pruned 43137 relations
Sat Dec 20 11:25:10 2014  memory use: 25.8 MB
Sat Dec 20 11:25:10 2014  distribution of cycle lengths:
Sat Dec 20 11:25:10 2014  1 relations: 8632
Sat Dec 20 11:25:10 2014  2 relations: 13589
Sat Dec 20 11:25:10 2014  3 relations: 16421
Sat Dec 20 11:25:10 2014  4 relations: 16488
Sat Dec 20 11:25:10 2014  5 relations: 16083
Sat Dec 20 11:25:10 2014  6 relations: 14040
Sat Dec 20 11:25:10 2014  7 relations: 12309
Sat Dec 20 11:25:10 2014  8 relations: 10149
Sat Dec 20 11:25:10 2014  9 relations: 8301
Sat Dec 20 11:25:10 2014  10+ relations: 25211
Sat Dec 20 11:25:10 2014  heaviest cycle: 19 relations
Sat Dec 20 11:25:10 2014  RelProcTime: 70
Sat Dec 20 11:25:10 2014  
Sat Dec 20 11:25:10 2014  commencing linear algebra
Sat Dec 20 11:25:10 2014  read 141223 cycles
Sat Dec 20 11:25:11 2014  cycles contain 388488 unique relations
Sat Dec 20 11:25:16 2014  read 388488 relations
Sat Dec 20 11:25:17 2014  using 20 quadratic characters above 66998444
Sat Dec 20 11:25:18 2014  building initial matrix
Sat Dec 20 11:25:22 2014  memory use: 47.1 MB
Sat Dec 20 11:25:23 2014  read 141223 cycles
Sat Dec 20 11:25:23 2014  matrix is 141045 x 141223 (41.1 MB) with weight 12286508 (87.00/col)
Sat Dec 20 11:25:23 2014  sparse part has weight 9213921 (65.24/col)
Sat Dec 20 11:25:23 2014  filtering completed in 2 passes
Sat Dec 20 11:25:23 2014  matrix is 140903 x 141081 (41.1 MB) with weight 12279076 (87.04/col)
Sat Dec 20 11:25:23 2014  sparse part has weight 9209646 (65.28/col)
Sat Dec 20 11:25:24 2014  matrix starts at (0, 0)
Sat Dec 20 11:25:24 2014  matrix is 140903 x 141081 (41.1 MB) with weight 12279076 (87.04/col)
Sat Dec 20 11:25:24 2014  sparse part has weight 9209646 (65.28/col)
Sat Dec 20 11:25:24 2014  saving the first 48 matrix rows for later
Sat Dec 20 11:25:24 2014  matrix includes 64 packed rows
Sat Dec 20 11:25:24 2014  matrix is 140855 x 141081 (38.6 MB) with weight 9720563 (68.90/col)
Sat Dec 20 11:25:24 2014  sparse part has weight 8716447 (61.78/col)
Sat Dec 20 11:25:24 2014  using block size 56342 for processor cache size 8192 kB
Sat Dec 20 11:25:24 2014  commencing Lanczos iteration
Sat Dec 20 11:25:24 2014  memory use: 28.8 MB
Sat Dec 20 11:25:36 2014  linear algebra at 8.6%, ETA 0h 2m
Sat Dec 20 11:27:31 2014  lanczos halted after 2229 iterations (dim = 140851)
Sat Dec 20 11:27:31 2014  recovered 36 nontrivial dependencies
Sat Dec 20 11:27:31 2014  BLanczosTime: 141
Sat Dec 20 11:27:31 2014  
Sat Dec 20 11:27:31 2014  commencing square root phase
Sat Dec 20 11:27:31 2014  reading relations for dependency 1
Sat Dec 20 11:27:31 2014  read 70152 cycles
Sat Dec 20 11:27:31 2014  cycles contain 193918 unique relations
Sat Dec 20 11:27:35 2014  read 193918 relations
Sat Dec 20 11:27:36 2014  multiplying 193918 relations
Sat Dec 20 11:27:42 2014  multiply complete, coefficients have about 6.13 million bits
Sat Dec 20 11:27:42 2014  initial square root is modulo 11122481
Sat Dec 20 11:27:50 2014  Newton iteration failed to converge
Sat Dec 20 11:27:50 2014  algebraic square root failed
Sat Dec 20 11:27:50 2014  reading relations for dependency 2
Sat Dec 20 11:27:50 2014  read 70862 cycles
Sat Dec 20 11:27:50 2014  cycles contain 195010 unique relations
Sat Dec 20 11:27:54 2014  read 195010 relations
Sat Dec 20 11:27:55 2014  multiplying 195010 relations
Sat Dec 20 11:28:00 2014  multiply complete, coefficients have about 6.16 million bits
Sat Dec 20 11:28:00 2014  initial square root is modulo 12170771
Sat Dec 20 11:28:08 2014  sqrtTime: 37
--
n: 7001725755453919501498879146066807748041743065351457062528605958441426723303150457093730471218182679647458349758498242668802261
m: 100000000000000000000000000
deg: 5
c5: 10300
c0: -1
skew: 0.16
# Murphy_E = 5.442e-09
type: snfs
lss: 1
rlim: 1200000
alim: 1200000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
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
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:31 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 31 秒 (日本時間)

103×10133-13

c125

name 名前Cyp
date 日付December 20, 2014 12:06:03 UTC 2014 年 12 月 20 日 (土) 21 時 6 分 3 秒 (日本時間)
composite number 合成数
37775542665422779954573924846697074817372836094544454635575577572642818092903366454320699412124502436326967642370567699796977<125>
prime factors 素因数
107668768332557205800423971476990075259310769671665467976423<60>
350849584800164355713556275791791861298308791278667119864181245799<66>
factorization results 素因数分解の結果
12/20/14 12:13:05 v1.34.3, 
12/20/14 12:13:05 v1.34.3, ****************************
12/20/14 12:13:05 v1.34.3, Starting factorization of 37775542665422779954573924846697074817372836094544454635575577572642818092903366454320699412124502436326967642370567699796977
12/20/14 12:13:05 v1.34.3, using pretesting plan: none
12/20/14 12:13:05 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 12:13:05 v1.34.3, ****************************
12/20/14 12:13:05 v1.34.3, nfs: commencing nfs on c125: 37775542665422779954573924846697074817372836094544454635575577572642818092903366454320699412124502436326967642370567699796977
12/20/14 12:13:05 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/20/14 12:13:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 12:14:22 v1.34.3, nfs: commencing lattice sieving with 8 threads
[40 lines snipped]
12/20/14 12:59:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 13:00:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 13:01:44 v1.34.3, nfs: commencing msieve filtering
12/20/14 13:02:46 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 13:05:40 v1.34.3, nfs: commencing msieve sqrt
12/20/14 13:06:02 v1.34.3, prp60 = 107668768332557205800423971476990075259310769671665467976423
12/20/14 13:06:03 v1.34.3, prp66 = 350849584800164355713556275791791861298308791278667119864181245799
12/20/14 13:06:03 v1.34.3, NFS elapsed time = 3178.0641 seconds.
12/20/14 13:06:03 v1.34.3, 
12/20/14 13:06:03 v1.34.3, 
12/20/14 13:06:03 v1.34.3, Total factoring time = 3178.0652 seconds
--
Sat Dec 20 13:01:44 2014  
Sat Dec 20 13:01:44 2014  commencing relation filtering
Sat Dec 20 13:01:44 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 13:01:44 2014  commencing duplicate removal, pass 1
Sat Dec 20 13:02:02 2014  found 631870 hash collisions in 4478495 relations
Sat Dec 20 13:02:07 2014  added 173707 free relations
Sat Dec 20 13:02:07 2014  commencing duplicate removal, pass 2
Sat Dec 20 13:02:10 2014  found 473952 duplicates and 4178250 unique relations
Sat Dec 20 13:02:10 2014  memory use: 20.6 MB
Sat Dec 20 13:02:10 2014  reading ideals above 100000
Sat Dec 20 13:02:10 2014  commencing singleton removal, initial pass
Sat Dec 20 13:02:36 2014  memory use: 94.1 MB
Sat Dec 20 13:02:36 2014  reading all ideals from disk
Sat Dec 20 13:02:36 2014  memory use: 128.4 MB
Sat Dec 20 13:02:36 2014  keeping 4275812 ideals with weight <= 200, target excess is 22388
Sat Dec 20 13:02:37 2014  commencing in-memory singleton removal
Sat Dec 20 13:02:37 2014  begin with 4178250 relations and 4275812 unique ideals
Sat Dec 20 13:02:38 2014  reduce to 1960771 relations and 1457863 ideals in 11 passes
Sat Dec 20 13:02:38 2014  max relations containing the same ideal: 123
Sat Dec 20 13:02:39 2014  removing 656448 relations and 417979 ideals in 238469 cliques
Sat Dec 20 13:02:39 2014  commencing in-memory singleton removal
Sat Dec 20 13:02:39 2014  begin with 1304323 relations and 1457863 unique ideals
Sat Dec 20 13:02:39 2014  reduce to 1208987 relations and 932217 ideals in 8 passes
Sat Dec 20 13:02:39 2014  max relations containing the same ideal: 85
Sat Dec 20 13:02:40 2014  removing 565020 relations and 326551 ideals in 238469 cliques
Sat Dec 20 13:02:40 2014  commencing in-memory singleton removal
Sat Dec 20 13:02:40 2014  begin with 643967 relations and 932217 unique ideals
Sat Dec 20 13:02:40 2014  reduce to 567782 relations and 519101 ideals in 8 passes
Sat Dec 20 13:02:40 2014  max relations containing the same ideal: 52
Sat Dec 20 13:02:40 2014  removing 81545 relations and 58835 ideals in 22710 cliques
Sat Dec 20 13:02:40 2014  commencing in-memory singleton removal
Sat Dec 20 13:02:40 2014  begin with 486237 relations and 519101 unique ideals
Sat Dec 20 13:02:40 2014  reduce to 474959 relations and 448440 ideals in 6 passes
Sat Dec 20 13:02:40 2014  max relations containing the same ideal: 47
Sat Dec 20 13:02:40 2014  relations with 0 large ideals: 479
Sat Dec 20 13:02:40 2014  relations with 1 large ideals: 380
Sat Dec 20 13:02:40 2014  relations with 2 large ideals: 4745
Sat Dec 20 13:02:40 2014  relations with 3 large ideals: 26177
Sat Dec 20 13:02:40 2014  relations with 4 large ideals: 75701
Sat Dec 20 13:02:40 2014  relations with 5 large ideals: 127608
Sat Dec 20 13:02:40 2014  relations with 6 large ideals: 132634
Sat Dec 20 13:02:40 2014  relations with 7+ large ideals: 107235
Sat Dec 20 13:02:40 2014  commencing 2-way merge
Sat Dec 20 13:02:40 2014  reduce to 344355 relation sets and 317836 unique ideals
Sat Dec 20 13:02:40 2014  commencing full merge
Sat Dec 20 13:02:44 2014  memory use: 39.2 MB
Sat Dec 20 13:02:44 2014  found 165581 cycles, need 162036
Sat Dec 20 13:02:44 2014  weight of 162036 cycles is about 11626780 (71.75/cycle)
Sat Dec 20 13:02:44 2014  distribution of cycle lengths:
Sat Dec 20 13:02:44 2014  1 relations: 9007
Sat Dec 20 13:02:44 2014  2 relations: 15187
Sat Dec 20 13:02:44 2014  3 relations: 18260
Sat Dec 20 13:02:44 2014  4 relations: 17330
Sat Dec 20 13:02:44 2014  5 relations: 16261
Sat Dec 20 13:02:44 2014  6 relations: 14442
Sat Dec 20 13:02:44 2014  7 relations: 12819
Sat Dec 20 13:02:44 2014  8 relations: 11163
Sat Dec 20 13:02:44 2014  9 relations: 9605
Sat Dec 20 13:02:44 2014  10+ relations: 37962
Sat Dec 20 13:02:44 2014  heaviest cycle: 22 relations
Sat Dec 20 13:02:44 2014  commencing cycle optimization
Sat Dec 20 13:02:45 2014  start with 1082364 relations
Sat Dec 20 13:02:46 2014  pruned 47690 relations
Sat Dec 20 13:02:46 2014  memory use: 30.6 MB
Sat Dec 20 13:02:46 2014  distribution of cycle lengths:
Sat Dec 20 13:02:46 2014  1 relations: 9007
Sat Dec 20 13:02:46 2014  2 relations: 15609
Sat Dec 20 13:02:46 2014  3 relations: 19162
Sat Dec 20 13:02:46 2014  4 relations: 18156
Sat Dec 20 13:02:46 2014  5 relations: 17123
Sat Dec 20 13:02:46 2014  6 relations: 15067
Sat Dec 20 13:02:46 2014  7 relations: 13327
Sat Dec 20 13:02:46 2014  8 relations: 11455
Sat Dec 20 13:02:46 2014  9 relations: 9675
Sat Dec 20 13:02:46 2014  10+ relations: 33455
Sat Dec 20 13:02:46 2014  heaviest cycle: 21 relations
Sat Dec 20 13:02:46 2014  RelProcTime: 62
Sat Dec 20 13:02:46 2014  
Sat Dec 20 13:02:46 2014  commencing linear algebra
Sat Dec 20 13:02:46 2014  read 162036 cycles
Sat Dec 20 13:02:46 2014  cycles contain 459064 unique relations
Sat Dec 20 13:02:51 2014  read 459064 relations
Sat Dec 20 13:02:52 2014  using 20 quadratic characters above 67105824
Sat Dec 20 13:02:54 2014  building initial matrix
Sat Dec 20 13:02:58 2014  memory use: 58.5 MB
Sat Dec 20 13:02:58 2014  read 162036 cycles
Sat Dec 20 13:02:58 2014  matrix is 161859 x 162036 (48.3 MB) with weight 14586697 (90.02/col)
Sat Dec 20 13:02:58 2014  sparse part has weight 10885641 (67.18/col)
Sat Dec 20 13:02:59 2014  filtering completed in 2 passes
Sat Dec 20 13:02:59 2014  matrix is 161813 x 161990 (48.3 MB) with weight 14584480 (90.03/col)
Sat Dec 20 13:02:59 2014  sparse part has weight 10884440 (67.19/col)
Sat Dec 20 13:02:59 2014  matrix starts at (0, 0)
Sat Dec 20 13:02:59 2014  matrix is 161813 x 161990 (48.3 MB) with weight 14584480 (90.03/col)
Sat Dec 20 13:02:59 2014  sparse part has weight 10884440 (67.19/col)
Sat Dec 20 13:02:59 2014  saving the first 48 matrix rows for later
Sat Dec 20 13:02:59 2014  matrix includes 64 packed rows
Sat Dec 20 13:02:59 2014  matrix is 161765 x 161990 (45.5 MB) with weight 11452242 (70.70/col)
Sat Dec 20 13:02:59 2014  sparse part has weight 10314282 (63.67/col)
Sat Dec 20 13:02:59 2014  using block size 64706 for processor cache size 8192 kB
Sat Dec 20 13:02:59 2014  commencing Lanczos iteration
Sat Dec 20 13:02:59 2014  memory use: 34.3 MB
Sat Dec 20 13:03:10 2014  linear algebra at 7.5%, ETA 0h 2m
Sat Dec 20 13:05:40 2014  lanczos halted after 2559 iterations (dim = 161763)
Sat Dec 20 13:05:40 2014  recovered 36 nontrivial dependencies
Sat Dec 20 13:05:40 2014  BLanczosTime: 174
Sat Dec 20 13:05:40 2014  
Sat Dec 20 13:05:40 2014  commencing square root phase
Sat Dec 20 13:05:40 2014  reading relations for dependency 1
Sat Dec 20 13:05:41 2014  read 80973 cycles
Sat Dec 20 13:05:41 2014  cycles contain 229482 unique relations
Sat Dec 20 13:05:45 2014  read 229482 relations
Sat Dec 20 13:05:46 2014  multiplying 229482 relations
Sat Dec 20 13:05:53 2014  multiply complete, coefficients have about 7.96 million bits
Sat Dec 20 13:05:53 2014  initial square root is modulo 1412934401
Sat Dec 20 13:06:02 2014  sqrtTime: 22
--
n: 37775542665422779954573924846697074817372836094544454635575577572642818092903366454320699412124502436326967642370567699796977
m: 100000000000000000000000000
deg: 5
c5: 103000
c0: -1
skew: 0.10
# Murphy_E = 4.154e-09
type: snfs
lss: 1
rlim: 1250000
alim: 1250000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
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
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

103×10134-13

c119

name 名前Cyp
date 日付December 20, 2014 14:02:27 UTC 2014 年 12 月 20 日 (土) 23 時 2 分 27 秒 (日本時間)
composite number 合成数
44119756660825471262526356894347483088847912333168924069832828539846043734780310549085608247525267403508017278300366831<119>
prime factors 素因数
3071441753375109424356969194374278005892873120190841<52>
14364510286527060856093476590712582514043391528464381817108234228391<68>
factorization results 素因数分解の結果
12/20/14 14:09:28 v1.34.3, 
12/20/14 14:09:28 v1.34.3, ****************************
12/20/14 14:09:28 v1.34.3, Starting factorization of 44119756660825471262526356894347483088847912333168924069832828539846043734780310549085608247525267403508017278300366831
12/20/14 14:09:28 v1.34.3, using pretesting plan: none
12/20/14 14:09:28 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 14:09:28 v1.34.3, ****************************
12/20/14 14:09:28 v1.34.3, nfs: commencing nfs on c119: 44119756660825471262526356894347483088847912333168924069832828539846043734780310549085608247525267403508017278300366831
12/20/14 14:09:28 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/20/14 14:09:28 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 14:10:53 v1.34.3, nfs: commencing lattice sieving with 8 threads
[35 lines snipped]
12/20/14 14:55:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 14:57:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 14:58:13 v1.34.3, nfs: commencing msieve filtering
12/20/14 14:59:26 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 15:02:15 v1.34.3, nfs: commencing msieve sqrt
12/20/14 15:02:26 v1.34.3, prp52 = 3071441753375109424356969194374278005892873120190841
12/20/14 15:02:26 v1.34.3, prp68 = 14364510286527060856093476590712582514043391528464381817108234228391
12/20/14 15:02:26 v1.34.3, NFS elapsed time = 3177.8668 seconds.
12/20/14 15:02:26 v1.34.3, 
12/20/14 15:02:26 v1.34.3, 
12/20/14 15:02:26 v1.34.3, Total factoring time = 3177.8674 seconds
--
Sat Dec 20 14:58:13 2014  
Sat Dec 20 14:58:13 2014  commencing relation filtering
Sat Dec 20 14:58:13 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 14:58:13 2014  commencing duplicate removal, pass 1
Sat Dec 20 14:58:31 2014  found 606366 hash collisions in 4523536 relations
Sat Dec 20 14:58:37 2014  added 177267 free relations
Sat Dec 20 14:58:37 2014  commencing duplicate removal, pass 2
Sat Dec 20 14:58:42 2014  found 433409 duplicates and 4267394 unique relations
Sat Dec 20 14:58:42 2014  memory use: 20.6 MB
Sat Dec 20 14:58:42 2014  reading ideals above 100000
Sat Dec 20 14:58:42 2014  commencing singleton removal, initial pass
Sat Dec 20 14:59:11 2014  memory use: 94.1 MB
Sat Dec 20 14:59:11 2014  reading all ideals from disk
Sat Dec 20 14:59:11 2014  memory use: 131.9 MB
Sat Dec 20 14:59:11 2014  keeping 4388729 ideals with weight <= 200, target excess is 22700
Sat Dec 20 14:59:11 2014  commencing in-memory singleton removal
Sat Dec 20 14:59:12 2014  begin with 4267394 relations and 4388729 unique ideals
Sat Dec 20 14:59:14 2014  reduce to 1990237 relations and 1507655 ideals in 10 passes
Sat Dec 20 14:59:14 2014  max relations containing the same ideal: 130
Sat Dec 20 14:59:15 2014  removing 648723 relations and 420598 ideals in 228125 cliques
Sat Dec 20 14:59:15 2014  commencing in-memory singleton removal
Sat Dec 20 14:59:15 2014  begin with 1341514 relations and 1507655 unique ideals
Sat Dec 20 14:59:16 2014  reduce to 1240281 relations and 973140 ideals in 7 passes
Sat Dec 20 14:59:16 2014  max relations containing the same ideal: 89
Sat Dec 20 14:59:17 2014  removing 557062 relations and 328937 ideals in 228125 cliques
Sat Dec 20 14:59:17 2014  commencing in-memory singleton removal
Sat Dec 20 14:59:17 2014  begin with 683219 relations and 973140 unique ideals
Sat Dec 20 14:59:17 2014  reduce to 595613 relations and 543689 ideals in 11 passes
Sat Dec 20 14:59:17 2014  max relations containing the same ideal: 52
Sat Dec 20 14:59:18 2014  removing 92019 relations and 66428 ideals in 25591 cliques
Sat Dec 20 14:59:18 2014  commencing in-memory singleton removal
Sat Dec 20 14:59:18 2014  begin with 503594 relations and 543689 unique ideals
Sat Dec 20 14:59:18 2014  reduce to 489456 relations and 462395 ideals in 6 passes
Sat Dec 20 14:59:18 2014  max relations containing the same ideal: 45
Sat Dec 20 14:59:18 2014  relations with 0 large ideals: 522
Sat Dec 20 14:59:18 2014  relations with 1 large ideals: 371
Sat Dec 20 14:59:18 2014  relations with 2 large ideals: 4738
Sat Dec 20 14:59:18 2014  relations with 3 large ideals: 26748
Sat Dec 20 14:59:18 2014  relations with 4 large ideals: 79341
Sat Dec 20 14:59:18 2014  relations with 5 large ideals: 132610
Sat Dec 20 14:59:18 2014  relations with 6 large ideals: 136726
Sat Dec 20 14:59:18 2014  relations with 7+ large ideals: 108400
Sat Dec 20 14:59:18 2014  commencing 2-way merge
Sat Dec 20 14:59:18 2014  reduce to 335538 relation sets and 308477 unique ideals
Sat Dec 20 14:59:18 2014  commencing full merge
Sat Dec 20 14:59:24 2014  memory use: 39.4 MB
Sat Dec 20 14:59:24 2014  found 164414 cycles, need 160677
Sat Dec 20 14:59:24 2014  weight of 160677 cycles is about 11573328 (72.03/cycle)
Sat Dec 20 14:59:24 2014  distribution of cycle lengths:
Sat Dec 20 14:59:24 2014  1 relations: 9167
Sat Dec 20 14:59:24 2014  2 relations: 14097
Sat Dec 20 14:59:24 2014  3 relations: 16773
Sat Dec 20 14:59:24 2014  4 relations: 17367
Sat Dec 20 14:59:24 2014  5 relations: 16531
Sat Dec 20 14:59:24 2014  6 relations: 15018
Sat Dec 20 14:59:24 2014  7 relations: 13291
Sat Dec 20 14:59:24 2014  8 relations: 11444
Sat Dec 20 14:59:24 2014  9 relations: 9714
Sat Dec 20 14:59:24 2014  10+ relations: 37275
Sat Dec 20 14:59:24 2014  heaviest cycle: 21 relations
Sat Dec 20 14:59:24 2014  commencing cycle optimization
Sat Dec 20 14:59:24 2014  start with 1077660 relations
Sat Dec 20 14:59:26 2014  pruned 43741 relations
Sat Dec 20 14:59:26 2014  memory use: 31.1 MB
Sat Dec 20 14:59:26 2014  distribution of cycle lengths:
Sat Dec 20 14:59:26 2014  1 relations: 9167
Sat Dec 20 14:59:26 2014  2 relations: 14448
Sat Dec 20 14:59:26 2014  3 relations: 17510
Sat Dec 20 14:59:26 2014  4 relations: 18096
Sat Dec 20 14:59:26 2014  5 relations: 17490
Sat Dec 20 14:59:26 2014  6 relations: 15592
Sat Dec 20 14:59:26 2014  7 relations: 13730
Sat Dec 20 14:59:26 2014  8 relations: 11795
Sat Dec 20 14:59:26 2014  9 relations: 9733
Sat Dec 20 14:59:26 2014  10+ relations: 33116
Sat Dec 20 14:59:26 2014  heaviest cycle: 21 relations
Sat Dec 20 14:59:26 2014  RelProcTime: 73
Sat Dec 20 14:59:26 2014  
Sat Dec 20 14:59:26 2014  commencing linear algebra
Sat Dec 20 14:59:27 2014  read 160677 cycles
Sat Dec 20 14:59:27 2014  cycles contain 471939 unique relations
Sat Dec 20 14:59:32 2014  read 471939 relations
Sat Dec 20 14:59:32 2014  using 20 quadratic characters above 67108740
Sat Dec 20 14:59:34 2014  building initial matrix
Sat Dec 20 14:59:39 2014  memory use: 60.0 MB
Sat Dec 20 14:59:39 2014  read 160677 cycles
Sat Dec 20 14:59:39 2014  matrix is 160500 x 160677 (48.2 MB) with weight 14632892 (91.07/col)
Sat Dec 20 14:59:39 2014  sparse part has weight 10879367 (67.71/col)
Sat Dec 20 14:59:40 2014  filtering completed in 2 passes
Sat Dec 20 14:59:41 2014  matrix is 160449 x 160626 (48.2 MB) with weight 14630621 (91.09/col)
Sat Dec 20 14:59:41 2014  sparse part has weight 10878317 (67.72/col)
Sat Dec 20 14:59:41 2014  matrix starts at (0, 0)
Sat Dec 20 14:59:41 2014  matrix is 160449 x 160626 (48.2 MB) with weight 14630621 (91.09/col)
Sat Dec 20 14:59:41 2014  sparse part has weight 10878317 (67.72/col)
Sat Dec 20 14:59:41 2014  saving the first 48 matrix rows for later
Sat Dec 20 14:59:41 2014  matrix includes 64 packed rows
Sat Dec 20 14:59:41 2014  matrix is 160401 x 160626 (45.4 MB) with weight 11483567 (71.49/col)
Sat Dec 20 14:59:41 2014  sparse part has weight 10304712 (64.15/col)
Sat Dec 20 14:59:41 2014  using block size 64160 for processor cache size 8192 kB
Sat Dec 20 14:59:41 2014  commencing Lanczos iteration
Sat Dec 20 14:59:41 2014  memory use: 34.3 MB
Sat Dec 20 14:59:57 2014  linear algebra at 7.6%, ETA 0h 3m
Sat Dec 20 15:02:15 2014  lanczos halted after 2537 iterations (dim = 160399)
Sat Dec 20 15:02:15 2014  recovered 36 nontrivial dependencies
Sat Dec 20 15:02:15 2014  BLanczosTime: 169
Sat Dec 20 15:02:15 2014  
Sat Dec 20 15:02:15 2014  commencing square root phase
Sat Dec 20 15:02:15 2014  reading relations for dependency 1
Sat Dec 20 15:02:15 2014  read 80443 cycles
Sat Dec 20 15:02:15 2014  cycles contain 236338 unique relations
Sat Dec 20 15:02:19 2014  read 236338 relations
Sat Dec 20 15:02:19 2014  multiplying 236338 relations
Sat Dec 20 15:02:22 2014  multiply complete, coefficients have about 6.15 million bits
Sat Dec 20 15:02:22 2014  initial square root is modulo 11903761
Sat Dec 20 15:02:26 2014  sqrtTime: 11
--
n: 44119756660825471262526356894347483088847912333168924069832828539846043734780310549085608247525267403508017278300366831
m: 1000000000000000000000000000
deg: 5
c5: 103
c0: -10
skew: 0.63
# Murphy_E = 4.268e-09
type: snfs
lss: 1
rlim: 1340000
alim: 1340000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
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
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

103×10136-13

c127

name 名前Cyp
date 日付December 20, 2014 17:02:58 UTC 2014 年 12 月 21 日 (日) 2 時 2 分 58 秒 (日本時間)
composite number 合成数
1457120784598677071653720543665249523672848418269237880699780685319968679589429120397247030243127320109785035701013949324549443<127>
prime factors 素因数
19443994625148180773187386604730812218938886577367<50>
74939373965578459281091393396163624282108974186866376089562999246814296877429<77>
factorization results 素因数分解の結果
12/20/14 16:42:42 v1.34.3, 
12/20/14 16:42:42 v1.34.3, ****************************
12/20/14 16:42:42 v1.34.3, Starting factorization of 1457120784598677071653720543665249523672848418269237880699780685319968679589429120397247030243127320109785035701013949324549443
12/20/14 16:42:42 v1.34.3, using pretesting plan: none
12/20/14 16:42:42 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 16:42:42 v1.34.3, ****************************
12/20/14 16:42:42 v1.34.3, nfs: commencing nfs on c127: 1457120784598677071653720543665249523672848418269237880699780685319968679589429120397247030243127320109785035701013949324549443
12/20/14 16:42:42 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/20/14 16:42:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 16:44:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
[45 lines snipped]
12/20/14 17:52:47 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 17:54:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 17:55:49 v1.34.3, nfs: commencing msieve filtering
12/20/14 17:57:28 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 18:02:15 v1.34.3, nfs: commencing msieve sqrt
12/20/14 18:02:58 v1.34.3, prp77 = 74939373965578459281091393396163624282108974186866376089562999246814296877429
12/20/14 18:02:58 v1.34.3, prp50 = 19443994625148180773187386604730812218938886577367
12/20/14 18:02:58 v1.34.3, NFS elapsed time = 4815.6469 seconds.
12/20/14 18:02:58 v1.34.3, 
12/20/14 18:02:58 v1.34.3, 
12/20/14 18:02:58 v1.34.3, Total factoring time = 4815.6497 seconds
--
Sat Dec 20 17:55:49 2014  
Sat Dec 20 17:55:49 2014  commencing relation filtering
Sat Dec 20 17:55:49 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 17:55:49 2014  commencing duplicate removal, pass 1
Sat Dec 20 17:56:14 2014  found 644424 hash collisions in 4492724 relations
Sat Dec 20 17:56:22 2014  added 176284 free relations
Sat Dec 20 17:56:22 2014  commencing duplicate removal, pass 2
Sat Dec 20 17:56:28 2014  found 489111 duplicates and 4179897 unique relations
Sat Dec 20 17:56:28 2014  memory use: 20.6 MB
Sat Dec 20 17:56:28 2014  reading ideals above 100000
Sat Dec 20 17:56:28 2014  commencing singleton removal, initial pass
Sat Dec 20 17:57:07 2014  memory use: 94.1 MB
Sat Dec 20 17:57:07 2014  reading all ideals from disk
Sat Dec 20 17:57:07 2014  memory use: 131.0 MB
Sat Dec 20 17:57:07 2014  keeping 4404242 ideals with weight <= 200, target excess is 22372
Sat Dec 20 17:57:08 2014  commencing in-memory singleton removal
Sat Dec 20 17:57:08 2014  begin with 4179897 relations and 4404242 unique ideals
Sat Dec 20 17:57:11 2014  reduce to 1876918 relations and 1487102 ideals in 11 passes
Sat Dec 20 17:57:11 2014  max relations containing the same ideal: 118
Sat Dec 20 17:57:13 2014  removing 560340 relations and 378408 ideals in 181932 cliques
Sat Dec 20 17:57:13 2014  commencing in-memory singleton removal
Sat Dec 20 17:57:13 2014  begin with 1316578 relations and 1487102 unique ideals
Sat Dec 20 17:57:14 2014  reduce to 1221502 relations and 1002803 ideals in 8 passes
Sat Dec 20 17:57:14 2014  max relations containing the same ideal: 87
Sat Dec 20 17:57:15 2014  removing 477422 relations and 295490 ideals in 181932 cliques
Sat Dec 20 17:57:15 2014  commencing in-memory singleton removal
Sat Dec 20 17:57:15 2014  begin with 744080 relations and 1002803 unique ideals
Sat Dec 20 17:57:16 2014  reduce to 659621 relations and 611357 ideals in 8 passes
Sat Dec 20 17:57:16 2014  max relations containing the same ideal: 54
Sat Dec 20 17:57:16 2014  removing 85870 relations and 63558 ideals in 22312 cliques
Sat Dec 20 17:57:16 2014  commencing in-memory singleton removal
Sat Dec 20 17:57:16 2014  begin with 573751 relations and 611357 unique ideals
Sat Dec 20 17:57:16 2014  reduce to 563789 relations and 537462 ideals in 6 passes
Sat Dec 20 17:57:16 2014  max relations containing the same ideal: 52
Sat Dec 20 17:57:17 2014  relations with 0 large ideals: 495
Sat Dec 20 17:57:17 2014  relations with 1 large ideals: 263
Sat Dec 20 17:57:17 2014  relations with 2 large ideals: 3812
Sat Dec 20 17:57:17 2014  relations with 3 large ideals: 24665
Sat Dec 20 17:57:17 2014  relations with 4 large ideals: 80029
Sat Dec 20 17:57:17 2014  relations with 5 large ideals: 146980
Sat Dec 20 17:57:17 2014  relations with 6 large ideals: 163253
Sat Dec 20 17:57:17 2014  relations with 7+ large ideals: 144292
Sat Dec 20 17:57:17 2014  commencing 2-way merge
Sat Dec 20 17:57:17 2014  reduce to 370066 relation sets and 343739 unique ideals
Sat Dec 20 17:57:17 2014  commencing full merge
Sat Dec 20 17:57:25 2014  memory use: 45.4 MB
Sat Dec 20 17:57:25 2014  found 187511 cycles, need 183939
Sat Dec 20 17:57:25 2014  weight of 183939 cycles is about 13219429 (71.87/cycle)
Sat Dec 20 17:57:25 2014  distribution of cycle lengths:
Sat Dec 20 17:57:25 2014  1 relations: 9829
Sat Dec 20 17:57:25 2014  2 relations: 15410
Sat Dec 20 17:57:25 2014  3 relations: 18978
Sat Dec 20 17:57:25 2014  4 relations: 19631
Sat Dec 20 17:57:25 2014  5 relations: 19498
Sat Dec 20 17:57:25 2014  6 relations: 18300
Sat Dec 20 17:57:25 2014  7 relations: 16339
Sat Dec 20 17:57:25 2014  8 relations: 14060
Sat Dec 20 17:57:25 2014  9 relations: 11945
Sat Dec 20 17:57:25 2014  10+ relations: 39949
Sat Dec 20 17:57:25 2014  heaviest cycle: 20 relations
Sat Dec 20 17:57:25 2014  commencing cycle optimization
Sat Dec 20 17:57:25 2014  start with 1212720 relations
Sat Dec 20 17:57:27 2014  pruned 44462 relations
Sat Dec 20 17:57:27 2014  memory use: 35.8 MB
Sat Dec 20 17:57:27 2014  distribution of cycle lengths:
Sat Dec 20 17:57:27 2014  1 relations: 9829
Sat Dec 20 17:57:27 2014  2 relations: 15787
Sat Dec 20 17:57:27 2014  3 relations: 19796
Sat Dec 20 17:57:27 2014  4 relations: 20304
Sat Dec 20 17:57:27 2014  5 relations: 20438
Sat Dec 20 17:57:27 2014  6 relations: 19091
Sat Dec 20 17:57:27 2014  7 relations: 16904
Sat Dec 20 17:57:27 2014  8 relations: 14376
Sat Dec 20 17:57:27 2014  9 relations: 12041
Sat Dec 20 17:57:27 2014  10+ relations: 35373
Sat Dec 20 17:57:27 2014  heaviest cycle: 20 relations
Sat Dec 20 17:57:28 2014  RelProcTime: 99
Sat Dec 20 17:57:28 2014  
Sat Dec 20 17:57:28 2014  commencing linear algebra
Sat Dec 20 17:57:28 2014  read 183939 cycles
Sat Dec 20 17:57:28 2014  cycles contain 548749 unique relations
Sat Dec 20 17:57:33 2014  read 548749 relations
Sat Dec 20 17:57:34 2014  using 20 quadratic characters above 67104252
Sat Dec 20 17:57:36 2014  building initial matrix
Sat Dec 20 17:57:41 2014  memory use: 67.9 MB
Sat Dec 20 17:57:41 2014  read 183939 cycles
Sat Dec 20 17:57:41 2014  matrix is 183774 x 183939 (55.3 MB) with weight 16528440 (89.86/col)
Sat Dec 20 17:57:41 2014  sparse part has weight 12484091 (67.87/col)
Sat Dec 20 17:57:42 2014  filtering completed in 2 passes
Sat Dec 20 17:57:42 2014  matrix is 183739 x 183914 (55.3 MB) with weight 16527527 (89.87/col)
Sat Dec 20 17:57:42 2014  sparse part has weight 12483714 (67.88/col)
Sat Dec 20 17:57:42 2014  matrix starts at (0, 0)
Sat Dec 20 17:57:42 2014  matrix is 183739 x 183914 (55.3 MB) with weight 16527527 (89.87/col)
Sat Dec 20 17:57:42 2014  sparse part has weight 12483714 (67.88/col)
Sat Dec 20 17:57:42 2014  saving the first 48 matrix rows for later
Sat Dec 20 17:57:42 2014  matrix includes 64 packed rows
Sat Dec 20 17:57:43 2014  matrix is 183691 x 183914 (51.8 MB) with weight 12988867 (70.62/col)
Sat Dec 20 17:57:43 2014  sparse part has weight 11745276 (63.86/col)
Sat Dec 20 17:57:43 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 20 17:57:43 2014  commencing Lanczos iteration
Sat Dec 20 17:57:43 2014  memory use: 39.3 MB
Sat Dec 20 17:57:58 2014  linear algebra at 6.6%, ETA 0h 3m
Sat Dec 20 18:02:14 2014  lanczos halted after 2906 iterations (dim = 183691)
Sat Dec 20 18:02:15 2014  recovered 38 nontrivial dependencies
Sat Dec 20 18:02:15 2014  BLanczosTime: 287
Sat Dec 20 18:02:15 2014  
Sat Dec 20 18:02:15 2014  commencing square root phase
Sat Dec 20 18:02:15 2014  reading relations for dependency 1
Sat Dec 20 18:02:15 2014  read 92277 cycles
Sat Dec 20 18:02:15 2014  cycles contain 275672 unique relations
Sat Dec 20 18:02:21 2014  read 275672 relations
Sat Dec 20 18:02:22 2014  multiplying 275672 relations
Sat Dec 20 18:02:31 2014  multiply complete, coefficients have about 7.93 million bits
Sat Dec 20 18:02:31 2014  initial square root is modulo 1313863981
Sat Dec 20 18:02:42 2014  Newton iteration failed to converge
Sat Dec 20 18:02:42 2014  algebraic square root failed
Sat Dec 20 18:02:42 2014  reading relations for dependency 2
Sat Dec 20 18:02:42 2014  read 91945 cycles
Sat Dec 20 18:02:42 2014  cycles contain 274068 unique relations
Sat Dec 20 18:02:47 2014  read 274068 relations
Sat Dec 20 18:02:48 2014  multiplying 274068 relations
Sat Dec 20 18:02:52 2014  multiply complete, coefficients have about 7.88 million bits
Sat Dec 20 18:02:52 2014  initial square root is modulo 1163568941
Sat Dec 20 18:02:57 2014  sqrtTime: 42
--
n: 1457120784598677071653720543665249523672848418269237880699780685319968679589429120397247030243127320109785035701013949324549443
m: 1000000000000000000000000000
deg: 5
c5: 1030
c0: -1
skew: 0.25
# Murphy_E = 3.632e-09
type: snfs
lss: 1
rlim: 1400000
alim: 1400000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
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
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

103×10138-13

c117

name 名前Cyp
date 日付December 20, 2014 22:53:03 UTC 2014 年 12 月 21 日 (日) 7 時 53 分 3 秒 (日本時間)
composite number 合成数
804922307160629689784499641532057268366982063720659191440400234993722053342202083118008563387968726787405712476549181<117>
prime factors 素因数
506302479455371876127612692084027908832581677111839781<54>
1589805185284658896335401127483703311076299343484647448234937401<64>
factorization results 素因数分解の結果
12/20/14 22:32:55 v1.34.3, 
12/20/14 22:32:55 v1.34.3, ****************************
12/20/14 22:32:55 v1.34.3, Starting factorization of 804922307160629689784499641532057268366982063720659191440400234993722053342202083118008563387968726787405712476549181
12/20/14 22:32:55 v1.34.3, using pretesting plan: none
12/20/14 22:32:55 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 22:32:55 v1.34.3, ****************************
12/20/14 22:32:55 v1.34.3, nfs: commencing nfs on c117: 804922307160629689784499641532057268366982063720659191440400234993722053342202083118008563387968726787405712476549181
12/20/14 22:32:55 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/20/14 22:32:55 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 22:34:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
[52 lines snipped]
12/20/14 23:44:38 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 23:46:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 23:47:34 v1.34.3, nfs: commencing msieve filtering
12/20/14 23:48:57 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 23:52:00 v1.34.3, nfs: commencing msieve sqrt
12/20/14 23:53:02 v1.34.3, prp54 = 506302479455371876127612692084027908832581677111839781
12/20/14 23:53:02 v1.34.3, prp64 = 1589805185284658896335401127483703311076299343484647448234937401
12/20/14 23:53:02 v1.34.3, NFS elapsed time = 4807.1297 seconds.
12/20/14 23:53:02 v1.34.3, 
12/20/14 23:53:02 v1.34.3, 
12/20/14 23:53:02 v1.34.3, Total factoring time = 4807.1306 seconds
--
Sat Dec 20 23:47:34 2014  
Sat Dec 20 23:47:34 2014  commencing relation filtering
Sat Dec 20 23:47:34 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 23:47:34 2014  commencing duplicate removal, pass 1
Sat Dec 20 23:47:57 2014  found 665490 hash collisions in 4531630 relations
Sat Dec 20 23:48:04 2014  added 178503 free relations
Sat Dec 20 23:48:04 2014  commencing duplicate removal, pass 2
Sat Dec 20 23:48:10 2014  found 512198 duplicates and 4197935 unique relations
Sat Dec 20 23:48:10 2014  memory use: 20.6 MB
Sat Dec 20 23:48:10 2014  reading ideals above 100000
Sat Dec 20 23:48:10 2014  commencing singleton removal, initial pass
Sat Dec 20 23:48:43 2014  memory use: 94.1 MB
Sat Dec 20 23:48:43 2014  reading all ideals from disk
Sat Dec 20 23:48:43 2014  memory use: 132.4 MB
Sat Dec 20 23:48:43 2014  keeping 4481807 ideals with weight <= 200, target excess is 22174
Sat Dec 20 23:48:43 2014  commencing in-memory singleton removal
Sat Dec 20 23:48:44 2014  begin with 4197935 relations and 4481807 unique ideals
Sat Dec 20 23:48:45 2014  reduce to 1842907 relations and 1503120 ideals in 10 passes
Sat Dec 20 23:48:45 2014  max relations containing the same ideal: 114
Sat Dec 20 23:48:46 2014  removing 517531 relations and 360498 ideals in 157033 cliques
Sat Dec 20 23:48:46 2014  commencing in-memory singleton removal
Sat Dec 20 23:48:46 2014  begin with 1325376 relations and 1503120 unique ideals
Sat Dec 20 23:48:47 2014  reduce to 1233536 relations and 1041388 ideals in 7 passes
Sat Dec 20 23:48:47 2014  max relations containing the same ideal: 85
Sat Dec 20 23:48:47 2014  removing 436573 relations and 279540 ideals in 157033 cliques
Sat Dec 20 23:48:47 2014  commencing in-memory singleton removal
Sat Dec 20 23:48:47 2014  begin with 796963 relations and 1041388 unique ideals
Sat Dec 20 23:48:48 2014  reduce to 716274 relations and 671268 ideals in 8 passes
Sat Dec 20 23:48:48 2014  max relations containing the same ideal: 58
Sat Dec 20 23:48:48 2014  removing 80102 relations and 60818 ideals in 19284 cliques
Sat Dec 20 23:48:48 2014  commencing in-memory singleton removal
Sat Dec 20 23:48:48 2014  begin with 636172 relations and 671268 unique ideals
Sat Dec 20 23:48:48 2014  reduce to 629315 relations and 603406 ideals in 7 passes
Sat Dec 20 23:48:48 2014  max relations containing the same ideal: 54
Sat Dec 20 23:48:48 2014  relations with 0 large ideals: 483
Sat Dec 20 23:48:48 2014  relations with 1 large ideals: 240
Sat Dec 20 23:48:48 2014  relations with 2 large ideals: 3439
Sat Dec 20 23:48:48 2014  relations with 3 large ideals: 23907
Sat Dec 20 23:48:48 2014  relations with 4 large ideals: 81498
Sat Dec 20 23:48:48 2014  relations with 5 large ideals: 158159
Sat Dec 20 23:48:48 2014  relations with 6 large ideals: 185126
Sat Dec 20 23:48:48 2014  relations with 7+ large ideals: 176463
Sat Dec 20 23:48:48 2014  commencing 2-way merge
Sat Dec 20 23:48:49 2014  reduce to 405627 relation sets and 379718 unique ideals
Sat Dec 20 23:48:49 2014  commencing full merge
Sat Dec 20 23:48:55 2014  memory use: 50.3 MB
Sat Dec 20 23:48:55 2014  found 207312 cycles, need 203918
Sat Dec 20 23:48:55 2014  weight of 203918 cycles is about 14553961 (71.37/cycle)
Sat Dec 20 23:48:55 2014  distribution of cycle lengths:
Sat Dec 20 23:48:55 2014  1 relations: 11674
Sat Dec 20 23:48:55 2014  2 relations: 17528
Sat Dec 20 23:48:55 2014  3 relations: 20821
Sat Dec 20 23:48:55 2014  4 relations: 21183
Sat Dec 20 23:48:55 2014  5 relations: 21393
Sat Dec 20 23:48:55 2014  6 relations: 20209
Sat Dec 20 23:48:55 2014  7 relations: 18189
Sat Dec 20 23:48:55 2014  8 relations: 15563
Sat Dec 20 23:48:55 2014  9 relations: 13423
Sat Dec 20 23:48:55 2014  10+ relations: 43935
Sat Dec 20 23:48:55 2014  heaviest cycle: 20 relations
Sat Dec 20 23:48:55 2014  commencing cycle optimization
Sat Dec 20 23:48:55 2014  start with 1336213 relations
Sat Dec 20 23:48:57 2014  pruned 45766 relations
Sat Dec 20 23:48:57 2014  memory use: 39.9 MB
Sat Dec 20 23:48:57 2014  distribution of cycle lengths:
Sat Dec 20 23:48:57 2014  1 relations: 11674
Sat Dec 20 23:48:57 2014  2 relations: 17904
Sat Dec 20 23:48:57 2014  3 relations: 21627
Sat Dec 20 23:48:57 2014  4 relations: 22026
Sat Dec 20 23:48:57 2014  5 relations: 22369
Sat Dec 20 23:48:57 2014  6 relations: 20903
Sat Dec 20 23:48:57 2014  7 relations: 18808
Sat Dec 20 23:48:57 2014  8 relations: 15969
Sat Dec 20 23:48:57 2014  9 relations: 13467
Sat Dec 20 23:48:57 2014  10+ relations: 39171
Sat Dec 20 23:48:57 2014  heaviest cycle: 20 relations
Sat Dec 20 23:48:57 2014  RelProcTime: 83
Sat Dec 20 23:48:57 2014  
Sat Dec 20 23:48:57 2014  commencing linear algebra
Sat Dec 20 23:48:58 2014  read 203918 cycles
Sat Dec 20 23:48:58 2014  cycles contain 614982 unique relations
Sat Dec 20 23:49:05 2014  read 614982 relations
Sat Dec 20 23:49:05 2014  using 20 quadratic characters above 67103670
Sat Dec 20 23:49:08 2014  building initial matrix
Sat Dec 20 23:49:15 2014  memory use: 75.9 MB
Sat Dec 20 23:49:15 2014  read 203918 cycles
Sat Dec 20 23:49:15 2014  matrix is 203743 x 203918 (61.2 MB) with weight 18426826 (90.36/col)
Sat Dec 20 23:49:15 2014  sparse part has weight 13798140 (67.67/col)
Sat Dec 20 23:49:17 2014  filtering completed in 2 passes
Sat Dec 20 23:49:17 2014  matrix is 203722 x 203899 (61.2 MB) with weight 18426033 (90.37/col)
Sat Dec 20 23:49:17 2014  sparse part has weight 13797737 (67.67/col)
Sat Dec 20 23:49:17 2014  matrix starts at (0, 0)
Sat Dec 20 23:49:17 2014  matrix is 203722 x 203899 (61.2 MB) with weight 18426033 (90.37/col)
Sat Dec 20 23:49:17 2014  sparse part has weight 13797737 (67.67/col)
Sat Dec 20 23:49:17 2014  saving the first 48 matrix rows for later
Sat Dec 20 23:49:17 2014  matrix includes 64 packed rows
Sat Dec 20 23:49:17 2014  matrix is 203674 x 203899 (57.6 MB) with weight 14506007 (71.14/col)
Sat Dec 20 23:49:17 2014  sparse part has weight 13066255 (64.08/col)
Sat Dec 20 23:49:17 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 20 23:49:18 2014  commencing Lanczos iteration (8 threads)
Sat Dec 20 23:49:18 2014  memory use: 54.7 MB
Sat Dec 20 23:49:30 2014  linear algebra at 5.9%, ETA 0h 3m
Sat Dec 20 23:52:00 2014  lanczos halted after 3223 iterations (dim = 203672)
Sat Dec 20 23:52:00 2014  recovered 37 nontrivial dependencies
Sat Dec 20 23:52:00 2014  BLanczosTime: 183
Sat Dec 20 23:52:00 2014  
Sat Dec 20 23:52:00 2014  commencing square root phase
Sat Dec 20 23:52:00 2014  reading relations for dependency 1
Sat Dec 20 23:52:00 2014  read 101994 cycles
Sat Dec 20 23:52:00 2014  cycles contain 308000 unique relations
Sat Dec 20 23:52:03 2014  read 308000 relations
Sat Dec 20 23:52:04 2014  multiplying 308000 relations
Sat Dec 20 23:52:13 2014  multiply complete, coefficients have about 10.73 million bits
Sat Dec 20 23:52:13 2014  initial square root is modulo 1476191
Sat Dec 20 23:52:29 2014  GCD is 1, no factor found
Sat Dec 20 23:52:29 2014  reading relations for dependency 2
Sat Dec 20 23:52:29 2014  read 102019 cycles
Sat Dec 20 23:52:29 2014  cycles contain 307646 unique relations
Sat Dec 20 23:52:35 2014  read 307646 relations
Sat Dec 20 23:52:36 2014  multiplying 307646 relations
Sat Dec 20 23:52:48 2014  multiply complete, coefficients have about 10.72 million bits
Sat Dec 20 23:52:48 2014  initial square root is modulo 1451521
Sat Dec 20 23:53:02 2014  sqrtTime: 62
--
n: 804922307160629689784499641532057268366982063720659191440400234993722053342202083118008563387968726787405712476549181
m: 1000000000000000000000000000
deg: 5
c5: 103000
c0: -1
skew: 0.10
# Murphy_E = 2.725e-09
type: snfs
lss: 1
rlim: 1510000
alim: 1510000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:22:39 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 39 秒 (日本時間)

103×10139-13

c122

name 名前Cyp
date 日付December 21, 2014 02:37:50 UTC 2014 年 12 月 21 日 (日) 11 時 37 分 50 秒 (日本時間)
composite number 合成数
24149016537653965474356511140903106898836518306525820072927835798740086330275071465826699753260264298241434945308407362713<122>
prime factors 素因数
1643345824962990470733208169951826099922919<43>
14695030206559122529710111977070967317144722040816458676913245994144520250208127<80>
factorization results 素因数分解の結果
12/21/14 02:20:27 v1.34.3, 
12/21/14 02:20:27 v1.34.3, ****************************
12/21/14 02:20:27 v1.34.3, Starting factorization of 24149016537653965474356511140903106898836518306525820072927835798740086330275071465826699753260264298241434945308407362713
12/21/14 02:20:27 v1.34.3, using pretesting plan: none
12/21/14 02:20:27 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/21/14 02:20:27 v1.34.3, ****************************
12/21/14 02:20:27 v1.34.3, nfs: commencing nfs on c122: 24149016537653965474356511140903106898836518306525820072927835798740086330275071465826699753260264298241434945308407362713
12/21/14 02:20:27 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/21/14 02:20:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 02:21:55 v1.34.3, nfs: commencing lattice sieving with 8 threads
[44 lines snipped]
12/21/14 03:28:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 03:29:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 03:31:19 v1.34.3, nfs: commencing msieve filtering
12/21/14 03:32:43 v1.34.3, nfs: commencing msieve linear algebra
12/21/14 03:35:05 v1.34.3, nfs: commencing msieve sqrt
12/21/14 03:37:48 v1.34.3, prp43 = 1643345824962990470733208169951826099922919
12/21/14 03:37:49 v1.34.3, prp80 = 14695030206559122529710111977070967317144722040816458676913245994144520250208127
12/21/14 03:37:49 v1.34.3, NFS elapsed time = 4641.2527 seconds.
12/21/14 03:37:49 v1.34.3, 
12/21/14 03:37:49 v1.34.3, 
12/21/14 03:37:49 v1.34.3, Total factoring time = 4641.2539 seconds
--
Sun Dec 21 03:31:19 2014  
Sun Dec 21 03:31:19 2014  commencing relation filtering
Sun Dec 21 03:31:19 2014  estimated available RAM is 15987.3 MB
Sun Dec 21 03:31:19 2014  commencing duplicate removal, pass 1
Sun Dec 21 03:31:42 2014  found 625677 hash collisions in 4555973 relations
Sun Dec 21 03:31:50 2014  added 181055 free relations
Sun Dec 21 03:31:50 2014  commencing duplicate removal, pass 2
Sun Dec 21 03:31:55 2014  found 454464 duplicates and 4282564 unique relations
Sun Dec 21 03:31:55 2014  memory use: 20.6 MB
Sun Dec 21 03:31:55 2014  reading ideals above 100000
Sun Dec 21 03:31:55 2014  commencing singleton removal, initial pass
Sun Dec 21 03:32:27 2014  memory use: 94.1 MB
Sun Dec 21 03:32:27 2014  reading all ideals from disk
Sun Dec 21 03:32:27 2014  memory use: 135.4 MB
Sun Dec 21 03:32:27 2014  keeping 4580362 ideals with weight <= 200, target excess is 22376
Sun Dec 21 03:32:28 2014  commencing in-memory singleton removal
Sun Dec 21 03:32:28 2014  begin with 4282564 relations and 4580362 unique ideals
Sun Dec 21 03:32:31 2014  reduce to 1873022 relations and 1545647 ideals in 14 passes
Sun Dec 21 03:32:31 2014  max relations containing the same ideal: 120
Sun Dec 21 03:32:31 2014  removing 516550 relations and 365841 ideals in 150709 cliques
Sun Dec 21 03:32:32 2014  commencing in-memory singleton removal
Sun Dec 21 03:32:32 2014  begin with 1356472 relations and 1545647 unique ideals
Sun Dec 21 03:32:32 2014  reduce to 1261008 relations and 1075174 ideals in 8 passes
Sun Dec 21 03:32:32 2014  max relations containing the same ideal: 91
Sun Dec 21 03:32:33 2014  removing 433500 relations and 282791 ideals in 150709 cliques
Sun Dec 21 03:32:33 2014  commencing in-memory singleton removal
Sun Dec 21 03:32:33 2014  begin with 827508 relations and 1075174 unique ideals
Sun Dec 21 03:32:33 2014  reduce to 742768 relations and 697565 ideals in 8 passes
Sun Dec 21 03:32:33 2014  max relations containing the same ideal: 62
Sun Dec 21 03:32:34 2014  removing 83846 relations and 64600 ideals in 19246 cliques
Sun Dec 21 03:32:34 2014  commencing in-memory singleton removal
Sun Dec 21 03:32:34 2014  begin with 658922 relations and 697565 unique ideals
Sun Dec 21 03:32:34 2014  reduce to 651655 relations and 625484 ideals in 6 passes
Sun Dec 21 03:32:34 2014  max relations containing the same ideal: 56
Sun Dec 21 03:32:34 2014  relations with 0 large ideals: 523
Sun Dec 21 03:32:34 2014  relations with 1 large ideals: 236
Sun Dec 21 03:32:34 2014  relations with 2 large ideals: 3462
Sun Dec 21 03:32:34 2014  relations with 3 large ideals: 23686
Sun Dec 21 03:32:34 2014  relations with 4 large ideals: 82712
Sun Dec 21 03:32:34 2014  relations with 5 large ideals: 162876
Sun Dec 21 03:32:34 2014  relations with 6 large ideals: 193287
Sun Dec 21 03:32:34 2014  relations with 7+ large ideals: 184873
Sun Dec 21 03:32:34 2014  commencing 2-way merge
Sun Dec 21 03:32:34 2014  reduce to 412643 relation sets and 386472 unique ideals
Sun Dec 21 03:32:34 2014  commencing full merge
Sun Dec 21 03:32:40 2014  memory use: 51.5 MB
Sun Dec 21 03:32:40 2014  found 210121 cycles, need 206672
Sun Dec 21 03:32:40 2014  weight of 206672 cycles is about 14629159 (70.78/cycle)
Sun Dec 21 03:32:40 2014  distribution of cycle lengths:
Sun Dec 21 03:32:40 2014  1 relations: 13934
Sun Dec 21 03:32:40 2014  2 relations: 18620
Sun Dec 21 03:32:40 2014  3 relations: 20585
Sun Dec 21 03:32:40 2014  4 relations: 21010
Sun Dec 21 03:32:40 2014  5 relations: 20785
Sun Dec 21 03:32:40 2014  6 relations: 19348
Sun Dec 21 03:32:40 2014  7 relations: 17907
Sun Dec 21 03:32:40 2014  8 relations: 15601
Sun Dec 21 03:32:40 2014  9 relations: 13240
Sun Dec 21 03:32:40 2014  10+ relations: 45642
Sun Dec 21 03:32:40 2014  heaviest cycle: 21 relations
Sun Dec 21 03:32:40 2014  commencing cycle optimization
Sun Dec 21 03:32:41 2014  start with 1354660 relations
Sun Dec 21 03:32:42 2014  pruned 45139 relations
Sun Dec 21 03:32:42 2014  memory use: 40.8 MB
Sun Dec 21 03:32:42 2014  distribution of cycle lengths:
Sun Dec 21 03:32:42 2014  1 relations: 13934
Sun Dec 21 03:32:42 2014  2 relations: 18992
Sun Dec 21 03:32:42 2014  3 relations: 21361
Sun Dec 21 03:32:42 2014  4 relations: 21707
Sun Dec 21 03:32:42 2014  5 relations: 21673
Sun Dec 21 03:32:42 2014  6 relations: 20086
Sun Dec 21 03:32:42 2014  7 relations: 18520
Sun Dec 21 03:32:42 2014  8 relations: 15941
Sun Dec 21 03:32:42 2014  9 relations: 13407
Sun Dec 21 03:32:42 2014  10+ relations: 41051
Sun Dec 21 03:32:42 2014  heaviest cycle: 20 relations
Sun Dec 21 03:32:43 2014  RelProcTime: 84
Sun Dec 21 03:32:43 2014  
Sun Dec 21 03:32:43 2014  commencing linear algebra
Sun Dec 21 03:32:43 2014  read 206672 cycles
Sun Dec 21 03:32:43 2014  cycles contain 636135 unique relations
Sun Dec 21 03:32:49 2014  read 636135 relations
Sun Dec 21 03:32:49 2014  using 20 quadratic characters above 67108508
Sun Dec 21 03:32:52 2014  building initial matrix
Sun Dec 21 03:32:58 2014  memory use: 78.8 MB
Sun Dec 21 03:32:58 2014  read 206672 cycles
Sun Dec 21 03:32:58 2014  matrix is 206499 x 206672 (61.6 MB) with weight 18699765 (90.48/col)
Sun Dec 21 03:32:58 2014  sparse part has weight 13882102 (67.17/col)
Sun Dec 21 03:33:00 2014  filtering completed in 2 passes
Sun Dec 21 03:33:00 2014  matrix is 206462 x 206639 (61.6 MB) with weight 18698598 (90.49/col)
Sun Dec 21 03:33:00 2014  sparse part has weight 13881702 (67.18/col)
Sun Dec 21 03:33:00 2014  matrix starts at (0, 0)
Sun Dec 21 03:33:00 2014  matrix is 206462 x 206639 (61.6 MB) with weight 18698598 (90.49/col)
Sun Dec 21 03:33:00 2014  sparse part has weight 13881702 (67.18/col)
Sun Dec 21 03:33:00 2014  saving the first 48 matrix rows for later
Sun Dec 21 03:33:00 2014  matrix includes 64 packed rows
Sun Dec 21 03:33:00 2014  matrix is 206414 x 206639 (58.1 MB) with weight 14690050 (71.09/col)
Sun Dec 21 03:33:00 2014  sparse part has weight 13169681 (63.73/col)
Sun Dec 21 03:33:00 2014  using block size 65536 for processor cache size 8192 kB
Sun Dec 21 03:33:00 2014  commencing Lanczos iteration (8 threads)
Sun Dec 21 03:33:00 2014  memory use: 55.2 MB
Sun Dec 21 03:33:07 2014  linear algebra at 5.9%, ETA 0h 1m
Sun Dec 21 03:35:05 2014  lanczos halted after 3265 iterations (dim = 206409)
Sun Dec 21 03:35:05 2014  recovered 33 nontrivial dependencies
Sun Dec 21 03:35:05 2014  BLanczosTime: 142
Sun Dec 21 03:35:05 2014  
Sun Dec 21 03:35:05 2014  commencing square root phase
Sun Dec 21 03:35:05 2014  reading relations for dependency 1
Sun Dec 21 03:35:05 2014  read 103174 cycles
Sun Dec 21 03:35:05 2014  cycles contain 317956 unique relations
Sun Dec 21 03:35:11 2014  read 317956 relations
Sun Dec 21 03:35:12 2014  multiplying 317956 relations
Sun Dec 21 03:35:21 2014  multiply complete, coefficients have about 8.33 million bits
Sun Dec 21 03:35:21 2014  initial square root is modulo 61861
Sun Dec 21 03:35:32 2014  GCD is N, no factor found
Sun Dec 21 03:35:32 2014  reading relations for dependency 2
Sun Dec 21 03:35:32 2014  read 103342 cycles
Sun Dec 21 03:35:33 2014  cycles contain 318254 unique relations
Sun Dec 21 03:35:38 2014  read 318254 relations
Sun Dec 21 03:35:39 2014  multiplying 318254 relations
Sun Dec 21 03:35:48 2014  multiply complete, coefficients have about 8.34 million bits
Sun Dec 21 03:35:48 2014  initial square root is modulo 62501
Sun Dec 21 03:36:00 2014  GCD is N, no factor found
Sun Dec 21 03:36:00 2014  reading relations for dependency 3
Sun Dec 21 03:36:00 2014  read 103506 cycles
Sun Dec 21 03:36:00 2014  cycles contain 318320 unique relations
Sun Dec 21 03:36:06 2014  read 318320 relations
Sun Dec 21 03:36:07 2014  multiplying 318320 relations
Sun Dec 21 03:36:16 2014  multiply complete, coefficients have about 8.35 million bits
Sun Dec 21 03:36:16 2014  initial square root is modulo 62731
Sun Dec 21 03:36:28 2014  GCD is 1, no factor found
Sun Dec 21 03:36:28 2014  reading relations for dependency 4
Sun Dec 21 03:36:28 2014  read 103123 cycles
Sun Dec 21 03:36:28 2014  cycles contain 317802 unique relations
Sun Dec 21 03:36:33 2014  read 317802 relations
Sun Dec 21 03:36:34 2014  multiplying 317802 relations
Sun Dec 21 03:36:43 2014  multiply complete, coefficients have about 8.33 million bits
Sun Dec 21 03:36:43 2014  initial square root is modulo 61631
Sun Dec 21 03:36:55 2014  GCD is N, no factor found
Sun Dec 21 03:36:55 2014  reading relations for dependency 5
Sun Dec 21 03:36:55 2014  read 103735 cycles
Sun Dec 21 03:36:55 2014  cycles contain 318582 unique relations
Sun Dec 21 03:37:00 2014  read 318582 relations
Sun Dec 21 03:37:01 2014  multiplying 318582 relations
Sun Dec 21 03:37:10 2014  multiply complete, coefficients have about 8.35 million bits
Sun Dec 21 03:37:10 2014  initial square root is modulo 63241
Sun Dec 21 03:37:21 2014  GCD is N, no factor found
Sun Dec 21 03:37:21 2014  reading relations for dependency 6
Sun Dec 21 03:37:21 2014  read 103238 cycles
Sun Dec 21 03:37:21 2014  cycles contain 317806 unique relations
Sun Dec 21 03:37:27 2014  read 317806 relations
Sun Dec 21 03:37:28 2014  multiplying 317806 relations
Sun Dec 21 03:37:37 2014  multiply complete, coefficients have about 8.33 million bits
Sun Dec 21 03:37:37 2014  initial square root is modulo 61561
Sun Dec 21 03:37:48 2014  sqrtTime: 163
--
n: 24149016537653965474356511140903106898836518306525820072927835798740086330275071465826699753260264298241434945308407362713
m: 10000000000000000000000000000
deg: 5
c5: 103
c0: -10
skew: 0.63
# Murphy_E = 2.791e-09
type: snfs
lss: 1
rlim: 1630000
alim: 1630000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:22:39 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 39 秒 (日本時間)

103×10140-13

c112

name 名前Cyp
date 日付December 21, 2014 12:32:03 UTC 2014 年 12 月 21 日 (日) 21 時 32 分 3 秒 (日本時間)
composite number 合成数
4112381122991483655282467005938579933439845178220049539713664514126031796684587638417718243850867805940248018809<112>
prime factors 素因数
161986392695620691834831142342113481258341<42>
25387201076320171874824270632074164040052117096774715267757436955286149<71>
factorization results 素因数分解の結果
12/21/14 11:53:57 v1.34.3, 
12/21/14 11:53:57 v1.34.3, ****************************
12/21/14 11:53:57 v1.34.3, Starting factorization of 4112381122991483655282467005938579933439845178220049539713664514126031796684587638417718243850867805940248018809
12/21/14 11:53:57 v1.34.3, using pretesting plan: none
12/21/14 11:53:57 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/21/14 11:53:57 v1.34.3, ****************************
12/21/14 11:53:57 v1.34.3, nfs: commencing nfs on c112: 4112381122991483655282467005938579933439845178220049539713664514126031796684587638417718243850867805940248018809
12/21/14 11:53:57 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/21/14 11:53:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 11:54:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
[150 lines snipped]
12/21/14 13:23:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 13:24:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 13:24:37 v1.34.3, nfs: commencing msieve filtering
12/21/14 13:26:02 v1.34.3, nfs: commencing msieve linear algebra
12/21/14 13:30:51 v1.34.3, nfs: commencing msieve sqrt
12/21/14 13:32:02 v1.34.3, prp42 = 161986392695620691834831142342113481258341
12/21/14 13:32:02 v1.34.3, prp71 = 25387201076320171874824270632074164040052117096774715267757436955286149
12/21/14 13:32:02 v1.34.3, NFS elapsed time = 5884.8308 seconds.
12/21/14 13:32:02 v1.34.3, 
12/21/14 13:32:02 v1.34.3, 
12/21/14 13:32:02 v1.34.3, Total factoring time = 5884.8317 seconds
--
Sun Dec 21 13:24:37 2014  
Sun Dec 21 13:24:37 2014  commencing relation filtering
Sun Dec 21 13:24:37 2014  estimated available RAM is 15987.3 MB
Sun Dec 21 13:24:37 2014  commencing duplicate removal, pass 1
Sun Dec 21 13:24:58 2014  found 790665 hash collisions in 4483115 relations
Sun Dec 21 13:25:05 2014  added 177732 free relations
Sun Dec 21 13:25:05 2014  commencing duplicate removal, pass 2
Sun Dec 21 13:25:11 2014  found 693010 duplicates and 3967837 unique relations
Sun Dec 21 13:25:11 2014  memory use: 20.6 MB
Sun Dec 21 13:25:11 2014  reading ideals above 100000
Sun Dec 21 13:25:11 2014  commencing singleton removal, initial pass
Sun Dec 21 13:25:42 2014  memory use: 94.1 MB
Sun Dec 21 13:25:42 2014  reading all ideals from disk
Sun Dec 21 13:25:42 2014  memory use: 124.1 MB
Sun Dec 21 13:25:43 2014  keeping 4484121 ideals with weight <= 200, target excess is 20074
Sun Dec 21 13:25:43 2014  commencing in-memory singleton removal
Sun Dec 21 13:25:43 2014  begin with 3967837 relations and 4484121 unique ideals
Sun Dec 21 13:25:45 2014  reduce to 1521266 relations and 1366251 ideals in 13 passes
Sun Dec 21 13:25:45 2014  max relations containing the same ideal: 105
Sun Dec 21 13:25:45 2014  removing 313539 relations and 247674 ideals in 65865 cliques
Sun Dec 21 13:25:46 2014  commencing in-memory singleton removal
Sun Dec 21 13:25:46 2014  begin with 1207727 relations and 1366251 unique ideals
Sun Dec 21 13:25:46 2014  reduce to 1161644 relations and 1070002 ideals in 8 passes
Sun Dec 21 13:25:46 2014  max relations containing the same ideal: 85
Sun Dec 21 13:25:47 2014  removing 247221 relations and 181356 ideals in 65865 cliques
Sun Dec 21 13:25:47 2014  commencing in-memory singleton removal
Sun Dec 21 13:25:47 2014  begin with 914423 relations and 1070002 unique ideals
Sun Dec 21 13:25:47 2014  reduce to 880402 relations and 852756 ideals in 8 passes
Sun Dec 21 13:25:47 2014  max relations containing the same ideal: 75
Sun Dec 21 13:25:47 2014  relations with 0 large ideals: 436
Sun Dec 21 13:25:47 2014  relations with 1 large ideals: 152
Sun Dec 21 13:25:47 2014  relations with 2 large ideals: 2994
Sun Dec 21 13:25:47 2014  relations with 3 large ideals: 23280
Sun Dec 21 13:25:47 2014  relations with 4 large ideals: 91481
Sun Dec 21 13:25:47 2014  relations with 5 large ideals: 204347
Sun Dec 21 13:25:47 2014  relations with 6 large ideals: 271112
Sun Dec 21 13:25:47 2014  relations with 7+ large ideals: 286600
Sun Dec 21 13:25:47 2014  commencing 2-way merge
Sun Dec 21 13:25:48 2014  reduce to 556109 relation sets and 528463 unique ideals
Sun Dec 21 13:25:48 2014  commencing full merge
Sun Dec 21 13:25:57 2014  memory use: 68.7 MB
Sun Dec 21 13:25:57 2014  found 277461 cycles, need 270663
Sun Dec 21 13:25:58 2014  weight of 270663 cycles is about 19078642 (70.49/cycle)
Sun Dec 21 13:25:58 2014  distribution of cycle lengths:
Sun Dec 21 13:25:58 2014  1 relations: 14773
Sun Dec 21 13:25:58 2014  2 relations: 23865
Sun Dec 21 13:25:58 2014  3 relations: 27958
Sun Dec 21 13:25:58 2014  4 relations: 27453
Sun Dec 21 13:25:58 2014  5 relations: 26763
Sun Dec 21 13:25:58 2014  6 relations: 24398
Sun Dec 21 13:25:58 2014  7 relations: 22551
Sun Dec 21 13:25:58 2014  8 relations: 20136
Sun Dec 21 13:25:58 2014  9 relations: 17111
Sun Dec 21 13:25:58 2014  10+ relations: 65655
Sun Dec 21 13:25:58 2014  heaviest cycle: 22 relations
Sun Dec 21 13:25:58 2014  commencing cycle optimization
Sun Dec 21 13:25:58 2014  start with 1838055 relations
Sun Dec 21 13:26:01 2014  pruned 56759 relations
Sun Dec 21 13:26:01 2014  memory use: 54.8 MB
Sun Dec 21 13:26:01 2014  distribution of cycle lengths:
Sun Dec 21 13:26:01 2014  1 relations: 14773
Sun Dec 21 13:26:01 2014  2 relations: 24373
Sun Dec 21 13:26:01 2014  3 relations: 28971
Sun Dec 21 13:26:01 2014  4 relations: 28387
Sun Dec 21 13:26:01 2014  5 relations: 27831
Sun Dec 21 13:26:01 2014  6 relations: 25035
Sun Dec 21 13:26:01 2014  7 relations: 23296
Sun Dec 21 13:26:01 2014  8 relations: 20491
Sun Dec 21 13:26:01 2014  9 relations: 17420
Sun Dec 21 13:26:01 2014  10+ relations: 60086
Sun Dec 21 13:26:01 2014  heaviest cycle: 21 relations
Sun Dec 21 13:26:02 2014  RelProcTime: 85
Sun Dec 21 13:26:02 2014  
Sun Dec 21 13:26:02 2014  commencing linear algebra
Sun Dec 21 13:26:02 2014  read 270663 cycles
Sun Dec 21 13:26:02 2014  cycles contain 844968 unique relations
Sun Dec 21 13:26:09 2014  read 844968 relations
Sun Dec 21 13:26:10 2014  using 20 quadratic characters above 67104228
Sun Dec 21 13:26:15 2014  building initial matrix
Sun Dec 21 13:26:24 2014  memory use: 99.8 MB
Sun Dec 21 13:26:24 2014  read 270663 cycles
Sun Dec 21 13:26:24 2014  matrix is 270484 x 270663 (80.7 MB) with weight 24305689 (89.80/col)
Sun Dec 21 13:26:24 2014  sparse part has weight 18178252 (67.16/col)
Sun Dec 21 13:26:26 2014  filtering completed in 2 passes
Sun Dec 21 13:26:26 2014  matrix is 270386 x 270565 (80.7 MB) with weight 24301463 (89.82/col)
Sun Dec 21 13:26:26 2014  sparse part has weight 18176228 (67.18/col)
Sun Dec 21 13:26:27 2014  matrix starts at (0, 0)
Sun Dec 21 13:26:27 2014  matrix is 270386 x 270565 (80.7 MB) with weight 24301463 (89.82/col)
Sun Dec 21 13:26:27 2014  sparse part has weight 18176228 (67.18/col)
Sun Dec 21 13:26:27 2014  saving the first 48 matrix rows for later
Sun Dec 21 13:26:27 2014  matrix includes 64 packed rows
Sun Dec 21 13:26:27 2014  matrix is 270338 x 270565 (76.0 MB) with weight 19107667 (70.62/col)
Sun Dec 21 13:26:27 2014  sparse part has weight 17228906 (63.68/col)
Sun Dec 21 13:26:27 2014  using block size 65536 for processor cache size 8192 kB
Sun Dec 21 13:26:28 2014  commencing Lanczos iteration (8 threads)
Sun Dec 21 13:26:28 2014  memory use: 72.7 MB
Sun Dec 21 13:26:42 2014  linear algebra at 4.5%, ETA 0h 4m
Sun Dec 21 13:30:50 2014  lanczos halted after 4276 iterations (dim = 270336)
Sun Dec 21 13:30:51 2014  recovered 37 nontrivial dependencies
Sun Dec 21 13:30:51 2014  BLanczosTime: 289
Sun Dec 21 13:30:51 2014  
Sun Dec 21 13:30:51 2014  commencing square root phase
Sun Dec 21 13:30:51 2014  reading relations for dependency 1
Sun Dec 21 13:30:51 2014  read 135131 cycles
Sun Dec 21 13:30:51 2014  cycles contain 421684 unique relations
Sun Dec 21 13:30:57 2014  read 421684 relations
Sun Dec 21 13:30:58 2014  multiplying 421684 relations
Sun Dec 21 13:31:10 2014  multiply complete, coefficients have about 10.64 million bits
Sun Dec 21 13:31:10 2014  initial square root is modulo 1304111
Sun Dec 21 13:31:26 2014  GCD is 1, no factor found
Sun Dec 21 13:31:26 2014  reading relations for dependency 2
Sun Dec 21 13:31:26 2014  read 135587 cycles
Sun Dec 21 13:31:26 2014  cycles contain 423190 unique relations
Sun Dec 21 13:31:31 2014  read 423190 relations
Sun Dec 21 13:31:33 2014  multiplying 423190 relations
Sun Dec 21 13:31:45 2014  multiply complete, coefficients have about 10.68 million bits
Sun Dec 21 13:31:45 2014  initial square root is modulo 1371541
Sun Dec 21 13:32:02 2014  sqrtTime: 71
--
n: 4112381122991483655282467005938579933439845178220049539713664514126031796684587638417718243850867805940248018809
m: 10000000000000000000000000000
deg: 5
c5: 103
c0: -1
skew: 0.40
# Murphy_E = 3.124e-09
type: snfs
lss: 1
rlim: 1630000
alim: 1630000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
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
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

103×10142-13

c120

name 名前Cyp
date 日付December 21, 2014 17:42:32 UTC 2014 年 12 月 22 日 (月) 2 時 42 分 32 秒 (日本時間)
composite number 合成数
180115046558838985315936271346688604249853532812159224489030972996917940313303711650650572971750803069552551198870604121<120>
prime factors 素因数
31922279747605430434825257238876480829682201867169<50>
5642298983121650725416494596371244942022918927666581880292598339828409<70>
factorization results 素因数分解の結果
12/21/14 17:17:50 v1.34.3, 
12/21/14 17:17:50 v1.34.3, ****************************
12/21/14 17:17:50 v1.34.3, Starting factorization of 180115046558838985315936271346688604249853532812159224489030972996917940313303711650650572971750803069552551198870604121
12/21/14 17:17:50 v1.34.3, using pretesting plan: none
12/21/14 17:17:50 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/21/14 17:17:50 v1.34.3, ****************************
12/21/14 17:17:50 v1.34.3, nfs: commencing nfs on c120: 180115046558838985315936271346688604249853532812159224489030972996917940313303711650650572971750803069552551198870604121
12/21/14 17:17:50 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/21/14 17:17:50 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 17:19:20 v1.34.3, nfs: commencing lattice sieving with 8 threads
[49 lines snipped]
12/21/14 18:34:14 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 18:35:51 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 18:37:29 v1.34.3, nfs: commencing msieve filtering
12/21/14 18:38:56 v1.34.3, nfs: commencing msieve linear algebra
12/21/14 18:41:54 v1.34.3, nfs: commencing msieve sqrt
12/21/14 18:42:31 v1.34.3, prp70 = 5642298983121650725416494596371244942022918927666581880292598339828409
12/21/14 18:42:31 v1.34.3, prp50 = 31922279747605430434825257238876480829682201867169
12/21/14 18:42:31 v1.34.3, NFS elapsed time = 5080.6126 seconds.
12/21/14 18:42:31 v1.34.3, 
12/21/14 18:42:31 v1.34.3, 
12/21/14 18:42:31 v1.34.3, Total factoring time = 5080.6132 seconds
--
Sun Dec 21 18:37:29 2014  
Sun Dec 21 18:37:29 2014  commencing relation filtering
Sun Dec 21 18:37:29 2014  estimated available RAM is 15987.3 MB
Sun Dec 21 18:37:29 2014  commencing duplicate removal, pass 1
Sun Dec 21 18:37:53 2014  found 620321 hash collisions in 4476380 relations
Sun Dec 21 18:38:00 2014  added 180500 free relations
Sun Dec 21 18:38:00 2014  commencing duplicate removal, pass 2
Sun Dec 21 18:38:06 2014  found 457996 duplicates and 4198884 unique relations
Sun Dec 21 18:38:06 2014  memory use: 20.6 MB
Sun Dec 21 18:38:06 2014  reading ideals above 100000
Sun Dec 21 18:38:06 2014  commencing singleton removal, initial pass
Sun Dec 21 18:38:39 2014  memory use: 94.1 MB
Sun Dec 21 18:38:39 2014  reading all ideals from disk
Sun Dec 21 18:38:39 2014  memory use: 133.7 MB
Sun Dec 21 18:38:39 2014  keeping 4590413 ideals with weight <= 200, target excess is 21737
Sun Dec 21 18:38:40 2014  commencing in-memory singleton removal
Sun Dec 21 18:38:40 2014  begin with 4198884 relations and 4590413 unique ideals
Sun Dec 21 18:38:42 2014  reduce to 1755298 relations and 1505850 ideals in 12 passes
Sun Dec 21 18:38:42 2014  max relations containing the same ideal: 111
Sun Dec 21 18:38:43 2014  removing 436690 relations and 324573 ideals in 112117 cliques
Sun Dec 21 18:38:43 2014  commencing in-memory singleton removal
Sun Dec 21 18:38:43 2014  begin with 1318608 relations and 1505850 unique ideals
Sun Dec 21 18:38:44 2014  reduce to 1239344 relations and 1095807 ideals in 8 passes
Sun Dec 21 18:38:44 2014  max relations containing the same ideal: 85
Sun Dec 21 18:38:44 2014  removing 360067 relations and 247950 ideals in 112117 cliques
Sun Dec 21 18:38:44 2014  commencing in-memory singleton removal
Sun Dec 21 18:38:44 2014  begin with 879277 relations and 1095807 unique ideals
Sun Dec 21 18:38:45 2014  reduce to 810766 relations and 773088 ideals in 8 passes
Sun Dec 21 18:38:45 2014  max relations containing the same ideal: 63
Sun Dec 21 18:38:45 2014  removing 63650 relations and 51187 ideals in 12463 cliques
Sun Dec 21 18:38:45 2014  commencing in-memory singleton removal
Sun Dec 21 18:38:45 2014  begin with 747116 relations and 773088 unique ideals
Sun Dec 21 18:38:45 2014  reduce to 743885 relations and 718617 ideals in 7 passes
Sun Dec 21 18:38:45 2014  max relations containing the same ideal: 58
Sun Dec 21 18:38:46 2014  relations with 0 large ideals: 516
Sun Dec 21 18:38:46 2014  relations with 1 large ideals: 184
Sun Dec 21 18:38:46 2014  relations with 2 large ideals: 2907
Sun Dec 21 18:38:46 2014  relations with 3 large ideals: 21537
Sun Dec 21 18:38:46 2014  relations with 4 large ideals: 80655
Sun Dec 21 18:38:46 2014  relations with 5 large ideals: 172854
Sun Dec 21 18:38:46 2014  relations with 6 large ideals: 222536
Sun Dec 21 18:38:46 2014  relations with 7+ large ideals: 242696
Sun Dec 21 18:38:46 2014  commencing 2-way merge
Sun Dec 21 18:38:46 2014  reduce to 464402 relation sets and 439134 unique ideals
Sun Dec 21 18:38:46 2014  commencing full merge
Sun Dec 21 18:38:53 2014  memory use: 58.3 MB
Sun Dec 21 18:38:53 2014  found 238553 cycles, need 235333
Sun Dec 21 18:38:53 2014  weight of 235333 cycles is about 16570166 (70.41/cycle)
Sun Dec 21 18:38:53 2014  distribution of cycle lengths:
Sun Dec 21 18:38:53 2014  1 relations: 18741
Sun Dec 21 18:38:53 2014  2 relations: 22525
Sun Dec 21 18:38:53 2014  3 relations: 24635
Sun Dec 21 18:38:53 2014  4 relations: 23853
Sun Dec 21 18:38:53 2014  5 relations: 23260
Sun Dec 21 18:38:53 2014  6 relations: 21788
Sun Dec 21 18:38:53 2014  7 relations: 19519
Sun Dec 21 18:38:53 2014  8 relations: 17091
Sun Dec 21 18:38:53 2014  9 relations: 14622
Sun Dec 21 18:38:53 2014  10+ relations: 49299
Sun Dec 21 18:38:53 2014  heaviest cycle: 20 relations
Sun Dec 21 18:38:53 2014  commencing cycle optimization
Sun Dec 21 18:38:53 2014  start with 1496156 relations
Sun Dec 21 18:38:55 2014  pruned 46233 relations
Sun Dec 21 18:38:55 2014  memory use: 46.1 MB
Sun Dec 21 18:38:55 2014  distribution of cycle lengths:
Sun Dec 21 18:38:55 2014  1 relations: 18741
Sun Dec 21 18:38:55 2014  2 relations: 22987
Sun Dec 21 18:38:55 2014  3 relations: 25472
Sun Dec 21 18:38:55 2014  4 relations: 24646
Sun Dec 21 18:38:55 2014  5 relations: 24180
Sun Dec 21 18:38:55 2014  6 relations: 22441
Sun Dec 21 18:38:55 2014  7 relations: 20017
Sun Dec 21 18:38:55 2014  8 relations: 17462
Sun Dec 21 18:38:55 2014  9 relations: 14681
Sun Dec 21 18:38:55 2014  10+ relations: 44706
Sun Dec 21 18:38:55 2014  heaviest cycle: 20 relations
Sun Dec 21 18:38:56 2014  RelProcTime: 87
Sun Dec 21 18:38:56 2014  
Sun Dec 21 18:38:56 2014  commencing linear algebra
Sun Dec 21 18:38:56 2014  read 235333 cycles
Sun Dec 21 18:38:56 2014  cycles contain 729271 unique relations
Sun Dec 21 18:39:04 2014  read 729271 relations
Sun Dec 21 18:39:04 2014  using 20 quadratic characters above 67105440
Sun Dec 21 18:39:08 2014  building initial matrix
Sun Dec 21 18:39:15 2014  memory use: 87.7 MB
Sun Dec 21 18:39:15 2014  read 235333 cycles
Sun Dec 21 18:39:15 2014  matrix is 235173 x 235333 (70.0 MB) with weight 20839074 (88.55/col)
Sun Dec 21 18:39:15 2014  sparse part has weight 15759667 (66.97/col)
Sun Dec 21 18:39:17 2014  filtering completed in 2 passes
Sun Dec 21 18:39:17 2014  matrix is 235143 x 235312 (70.0 MB) with weight 20838288 (88.56/col)
Sun Dec 21 18:39:17 2014  sparse part has weight 15759338 (66.97/col)
Sun Dec 21 18:39:17 2014  matrix starts at (0, 0)
Sun Dec 21 18:39:17 2014  matrix is 235143 x 235312 (70.0 MB) with weight 20838288 (88.56/col)
Sun Dec 21 18:39:17 2014  sparse part has weight 15759338 (66.97/col)
Sun Dec 21 18:39:17 2014  saving the first 48 matrix rows for later
Sun Dec 21 18:39:18 2014  matrix includes 64 packed rows
Sun Dec 21 18:39:18 2014  matrix is 235095 x 235312 (65.9 MB) with weight 16590224 (70.50/col)
Sun Dec 21 18:39:18 2014  sparse part has weight 14926288 (63.43/col)
Sun Dec 21 18:39:18 2014  using block size 65536 for processor cache size 8192 kB
Sun Dec 21 18:39:19 2014  commencing Lanczos iteration (8 threads)
Sun Dec 21 18:39:19 2014  memory use: 62.6 MB
Sun Dec 21 18:39:31 2014  linear algebra at 5.2%, ETA 0h 3m
Sun Dec 21 18:41:54 2014  lanczos halted after 3719 iterations (dim = 235081)
Sun Dec 21 18:41:54 2014  recovered 31 nontrivial dependencies
Sun Dec 21 18:41:54 2014  BLanczosTime: 178
Sun Dec 21 18:41:54 2014  
Sun Dec 21 18:41:54 2014  commencing square root phase
Sun Dec 21 18:41:54 2014  reading relations for dependency 1
Sun Dec 21 18:41:54 2014  read 117607 cycles
Sun Dec 21 18:41:54 2014  cycles contain 365282 unique relations
Sun Dec 21 18:41:57 2014  read 365282 relations
Sun Dec 21 18:41:58 2014  multiplying 365282 relations
Sun Dec 21 18:42:04 2014  multiply complete, coefficients have about 11.67 million bits
Sun Dec 21 18:42:04 2014  initial square root is modulo 5119321
Sun Dec 21 18:42:12 2014  GCD is N, no factor found
Sun Dec 21 18:42:12 2014  reading relations for dependency 2
Sun Dec 21 18:42:12 2014  read 117061 cycles
Sun Dec 21 18:42:12 2014  cycles contain 362628 unique relations
Sun Dec 21 18:42:16 2014  read 362628 relations
Sun Dec 21 18:42:16 2014  multiplying 362628 relations
Sun Dec 21 18:42:22 2014  multiply complete, coefficients have about 11.59 million bits
Sun Dec 21 18:42:23 2014  initial square root is modulo 4566301
Sun Dec 21 18:42:31 2014  sqrtTime: 37
--
n: 180115046558838985315936271346688604249853532812159224489030972996917940313303711650650572971750803069552551198870604121
m: 10000000000000000000000000000
deg: 5
c5: 10300
c0: -1
skew: 0.16
# Murphy_E = 2.332e-09
type: snfs
lss: 1
rlim: 1760000
alim: 1760000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:22:40 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 40 秒 (日本時間)

103×10146-13

c97

name 名前KTakahashi
date 日付December 19, 2014 15:19:08 UTC 2014 年 12 月 20 日 (土) 0 時 19 分 8 秒 (日本時間)
composite number 合成数
4078956788161034692714996328631169957219543376141315553910728693400243345137732349428671080943827<97>
prime factors 素因数
279003444172923921322394001827418451942533677<45>
14619736327100437363537830876230013419506978934621951<53>
factorization results 素因数分解の結果
Number: 34333_146
N=4078956788161034692714996328631169957219543376141315553910728693400243345137732349428671080943827
  ( 97 digits)
Divisors found:
 r1=279003444172923921322394001827418451942533677 (pp45)
 r2=14619736327100437363537830876230013419506978934621951 (pp53)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 6.13 hours.
Scaled time: 12.59 units (timescale=2.055).
Factorization parameters were as follows:
name: 34333_146
n:  4078956788161034692714996328631169957219543376141315553910728693400243345137732349428671080943827
m:  13808202082263284227331
deg: 4
c4: 112201992
c3: 1122669036283
c2: 240183089002841509
c1: -4379227163867807511
c0: -78358108085773932509366
skew: 1635.250
type: gnfs
# adj. I(F,S) = 55.789
# E(F1,F2) = 2.229825e-005
# GGNFS version 0.77.1-VC8(Sat 01/17/2009) polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1418771311.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 1500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 182016 x 182241
Polynomial selection time: 0.17 hours.
Total sieving time: 5.83 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,96,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 6.13 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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 13:33:36 UTC 2014 年 12 月 19 日 (金) 22 時 33 分 36 秒 (日本時間)

103×10151-13

c144

name 名前Cyp
date 日付December 23, 2014 13:29:00 UTC 2014 年 12 月 23 日 (火) 22 時 29 分 0 秒 (日本時間)
composite number 合成数
311757775393056795184932274296286736464395791491713159459357039136087677502456182876740568366066442357673697246713537232598065302254040890704931<144>
prime factors 素因数
944644980463275143303996770949546278589<39>
330026392814963956892544664645517607706445705136800782868570347021639226616224374085415213914306862787679<105>
factorization results 素因数分解の結果
12/23/14 10:36:58 v1.34.3, 
12/23/14 10:36:58 v1.34.3, ****************************
12/23/14 10:36:58 v1.34.3, Starting factorization of 311757775393056795184932274296286736464395791491713159459357039136087677502456182876740568366066442357673697246713537232598065302254040890704931
12/23/14 10:36:58 v1.34.3, using pretesting plan: none
12/23/14 10:36:58 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/23/14 10:36:58 v1.34.3, ****************************
12/23/14 10:36:58 v1.34.3, nfs: commencing nfs on c144: 311757775393056795184932274296286736464395791491713159459357039136087677502456182876740568366066442357673697246713537232598065302254040890704931
12/23/14 10:36:58 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/23/14 10:36:58 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 10:44:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
[25 lines snipped]
12/23/14 13:52:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 14:00:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 14:08:51 v1.34.3, nfs: commencing msieve filtering
12/23/14 14:11:55 v1.34.3, nfs: commencing msieve linear algebra
12/23/14 14:18:58 v1.34.3, nfs: commencing msieve sqrt
12/23/14 14:28:59 v1.34.3, prp39 = 944644980463275143303996770949546278589
12/23/14 14:28:59 v1.34.3, prp105 = 330026392814963956892544664645517607706445705136800782868570347021639226616224374085415213914306862787679
12/23/14 14:28:59 v1.34.3, NFS elapsed time = 13921.1381 seconds.
12/23/14 14:28:59 v1.34.3, 
12/23/14 14:28:59 v1.34.3, 
12/23/14 14:28:59 v1.34.3, Total factoring time = 13921.1398 seconds
--
Tue Dec 23 14:08:51 2014  
Tue Dec 23 14:08:51 2014  commencing relation filtering
Tue Dec 23 14:08:51 2014  estimated available RAM is 15987.3 MB
Tue Dec 23 14:08:51 2014  commencing duplicate removal, pass 1
Tue Dec 23 14:09:43 2014  found 1318696 hash collisions in 10369657 relations
Tue Dec 23 14:09:53 2014  added 359977 free relations
Tue Dec 23 14:09:53 2014  commencing duplicate removal, pass 2
Tue Dec 23 14:10:01 2014  found 812765 duplicates and 9916869 unique relations
Tue Dec 23 14:10:01 2014  memory use: 41.3 MB
Tue Dec 23 14:10:01 2014  reading ideals above 100000
Tue Dec 23 14:10:01 2014  commencing singleton removal, initial pass
Tue Dec 23 14:11:19 2014  memory use: 188.2 MB
Tue Dec 23 14:11:19 2014  reading all ideals from disk
Tue Dec 23 14:11:20 2014  memory use: 338.7 MB
Tue Dec 23 14:11:21 2014  keeping 9774150 ideals with weight <= 200, target excess is 53116
Tue Dec 23 14:11:22 2014  commencing in-memory singleton removal
Tue Dec 23 14:11:22 2014  begin with 9916869 relations and 9774150 unique ideals
Tue Dec 23 14:11:28 2014  reduce to 5051657 relations and 3838276 ideals in 11 passes
Tue Dec 23 14:11:28 2014  max relations containing the same ideal: 133
Tue Dec 23 14:11:31 2014  removing 1264281 relations and 864281 ideals in 400000 cliques
Tue Dec 23 14:11:31 2014  commencing in-memory singleton removal
Tue Dec 23 14:11:31 2014  begin with 3787376 relations and 3838276 unique ideals
Tue Dec 23 14:11:34 2014  reduce to 3587272 relations and 2755085 ideals in 8 passes
Tue Dec 23 14:11:34 2014  max relations containing the same ideal: 103
Tue Dec 23 14:11:35 2014  removing 1071063 relations and 671063 ideals in 400000 cliques
Tue Dec 23 14:11:36 2014  commencing in-memory singleton removal
Tue Dec 23 14:11:36 2014  begin with 2516209 relations and 2755085 unique ideals
Tue Dec 23 14:11:38 2014  reduce to 2354981 relations and 1905953 ideals in 8 passes
Tue Dec 23 14:11:38 2014  max relations containing the same ideal: 81
Tue Dec 23 14:11:39 2014  removing 987107 relations and 599694 ideals in 387413 cliques
Tue Dec 23 14:11:39 2014  commencing in-memory singleton removal
Tue Dec 23 14:11:39 2014  begin with 1367874 relations and 1905953 unique ideals
Tue Dec 23 14:11:40 2014  reduce to 1178774 relations and 1090549 ideals in 10 passes
Tue Dec 23 14:11:40 2014  max relations containing the same ideal: 47
Tue Dec 23 14:11:40 2014  removing 125091 relations and 98481 ideals in 26610 cliques
Tue Dec 23 14:11:40 2014  commencing in-memory singleton removal
Tue Dec 23 14:11:40 2014  begin with 1053683 relations and 1090549 unique ideals
Tue Dec 23 14:11:41 2014  reduce to 1040287 relations and 978318 ideals in 6 passes
Tue Dec 23 14:11:41 2014  max relations containing the same ideal: 45
Tue Dec 23 14:11:41 2014  relations with 0 large ideals: 1176
Tue Dec 23 14:11:41 2014  relations with 1 large ideals: 942
Tue Dec 23 14:11:41 2014  relations with 2 large ideals: 12401
Tue Dec 23 14:11:41 2014  relations with 3 large ideals: 68518
Tue Dec 23 14:11:41 2014  relations with 4 large ideals: 189360
Tue Dec 23 14:11:41 2014  relations with 5 large ideals: 292607
Tue Dec 23 14:11:41 2014  relations with 6 large ideals: 275890
Tue Dec 23 14:11:41 2014  relations with 7+ large ideals: 199393
Tue Dec 23 14:11:41 2014  commencing 2-way merge
Tue Dec 23 14:11:42 2014  reduce to 668393 relation sets and 606424 unique ideals
Tue Dec 23 14:11:42 2014  commencing full merge
Tue Dec 23 14:11:50 2014  memory use: 75.7 MB
Tue Dec 23 14:11:50 2014  found 336960 cycles, need 328624
Tue Dec 23 14:11:50 2014  weight of 328624 cycles is about 23092681 (70.27/cycle)
Tue Dec 23 14:11:50 2014  distribution of cycle lengths:
Tue Dec 23 14:11:50 2014  1 relations: 28240
Tue Dec 23 14:11:50 2014  2 relations: 32035
Tue Dec 23 14:11:50 2014  3 relations: 36154
Tue Dec 23 14:11:50 2014  4 relations: 36091
Tue Dec 23 14:11:50 2014  5 relations: 34802
Tue Dec 23 14:11:50 2014  6 relations: 31082
Tue Dec 23 14:11:50 2014  7 relations: 26657
Tue Dec 23 14:11:50 2014  8 relations: 22871
Tue Dec 23 14:11:50 2014  9 relations: 18863
Tue Dec 23 14:11:50 2014  10+ relations: 61829
Tue Dec 23 14:11:50 2014  heaviest cycle: 20 relations
Tue Dec 23 14:11:51 2014  commencing cycle optimization
Tue Dec 23 14:11:51 2014  start with 2004755 relations
Tue Dec 23 14:11:54 2014  pruned 68067 relations
Tue Dec 23 14:11:54 2014  memory use: 62.6 MB
Tue Dec 23 14:11:54 2014  distribution of cycle lengths:
Tue Dec 23 14:11:54 2014  1 relations: 28240
Tue Dec 23 14:11:54 2014  2 relations: 32784
Tue Dec 23 14:11:54 2014  3 relations: 37585
Tue Dec 23 14:11:54 2014  4 relations: 37536
Tue Dec 23 14:11:54 2014  5 relations: 36348
Tue Dec 23 14:11:54 2014  6 relations: 32014
Tue Dec 23 14:11:54 2014  7 relations: 27422
Tue Dec 23 14:11:54 2014  8 relations: 23093
Tue Dec 23 14:11:54 2014  9 relations: 18717
Tue Dec 23 14:11:54 2014  10+ relations: 54885
Tue Dec 23 14:11:54 2014  heaviest cycle: 20 relations
Tue Dec 23 14:11:55 2014  RelProcTime: 184
Tue Dec 23 14:11:55 2014  
Tue Dec 23 14:11:55 2014  commencing linear algebra
Tue Dec 23 14:11:55 2014  read 328624 cycles
Tue Dec 23 14:11:55 2014  cycles contain 1000880 unique relations
Tue Dec 23 14:12:09 2014  read 1000880 relations
Tue Dec 23 14:12:11 2014  using 20 quadratic characters above 134203142
Tue Dec 23 14:12:15 2014  building initial matrix
Tue Dec 23 14:12:26 2014  memory use: 126.9 MB
Tue Dec 23 14:12:27 2014  read 328624 cycles
Tue Dec 23 14:12:27 2014  matrix is 328446 x 328624 (97.4 MB) with weight 29038148 (88.36/col)
Tue Dec 23 14:12:27 2014  sparse part has weight 21917504 (66.69/col)
Tue Dec 23 14:12:29 2014  filtering completed in 2 passes
Tue Dec 23 14:12:29 2014  matrix is 328254 x 328432 (97.4 MB) with weight 29030143 (88.39/col)
Tue Dec 23 14:12:29 2014  sparse part has weight 21913720 (66.72/col)
Tue Dec 23 14:12:30 2014  matrix starts at (0, 0)
Tue Dec 23 14:12:30 2014  matrix is 328254 x 328432 (97.4 MB) with weight 29030143 (88.39/col)
Tue Dec 23 14:12:30 2014  sparse part has weight 21913720 (66.72/col)
Tue Dec 23 14:12:30 2014  saving the first 48 matrix rows for later
Tue Dec 23 14:12:30 2014  matrix includes 64 packed rows
Tue Dec 23 14:12:30 2014  matrix is 328206 x 328432 (91.6 MB) with weight 22740901 (69.24/col)
Tue Dec 23 14:12:30 2014  sparse part has weight 20720403 (63.09/col)
Tue Dec 23 14:12:30 2014  using block size 65536 for processor cache size 8192 kB
Tue Dec 23 14:12:31 2014  commencing Lanczos iteration (8 threads)
Tue Dec 23 14:12:31 2014  memory use: 88.3 MB
Tue Dec 23 14:12:47 2014  linear algebra at 3.7%, ETA 0h 6m
Tue Dec 23 14:18:58 2014  lanczos halted after 5191 iterations (dim = 328204)
Tue Dec 23 14:18:58 2014  recovered 36 nontrivial dependencies
Tue Dec 23 14:18:58 2014  BLanczosTime: 423
Tue Dec 23 14:18:58 2014  
Tue Dec 23 14:18:58 2014  commencing square root phase
Tue Dec 23 14:18:58 2014  reading relations for dependency 1
Tue Dec 23 14:18:58 2014  read 164365 cycles
Tue Dec 23 14:18:58 2014  cycles contain 500112 unique relations
Tue Dec 23 14:19:11 2014  read 500112 relations
Tue Dec 23 14:19:13 2014  multiplying 500112 relations
Tue Dec 23 14:19:31 2014  multiply complete, coefficients have about 15.07 million bits
Tue Dec 23 14:19:31 2014  initial square root is modulo 453023401
Tue Dec 23 14:19:55 2014  GCD is 1, no factor found
Tue Dec 23 14:19:55 2014  reading relations for dependency 2
Tue Dec 23 14:19:55 2014  read 164426 cycles
Tue Dec 23 14:19:56 2014  cycles contain 500296 unique relations
Tue Dec 23 14:20:08 2014  read 500296 relations
Tue Dec 23 14:20:10 2014  multiplying 500296 relations
Tue Dec 23 14:20:27 2014  multiply complete, coefficients have about 15.07 million bits
Tue Dec 23 14:20:27 2014  initial square root is modulo 455583341
Tue Dec 23 14:20:50 2014  GCD is 1, no factor found
Tue Dec 23 14:20:50 2014  reading relations for dependency 3
Tue Dec 23 14:20:50 2014  read 164257 cycles
Tue Dec 23 14:20:50 2014  cycles contain 500478 unique relations
Tue Dec 23 14:21:02 2014  read 500478 relations
Tue Dec 23 14:21:04 2014  multiplying 500478 relations
Tue Dec 23 14:21:22 2014  multiply complete, coefficients have about 15.08 million bits
Tue Dec 23 14:21:22 2014  initial square root is modulo 458930651
Tue Dec 23 14:21:47 2014  GCD is N, no factor found
Tue Dec 23 14:21:47 2014  reading relations for dependency 4
Tue Dec 23 14:21:47 2014  read 164222 cycles
Tue Dec 23 14:21:47 2014  cycles contain 500604 unique relations
Tue Dec 23 14:21:59 2014  read 500604 relations
Tue Dec 23 14:22:01 2014  multiplying 500604 relations
Tue Dec 23 14:22:19 2014  multiply complete, coefficients have about 15.08 million bits
Tue Dec 23 14:22:19 2014  initial square root is modulo 461377261
Tue Dec 23 14:22:42 2014  GCD is 1, no factor found
Tue Dec 23 14:22:42 2014  reading relations for dependency 5
Tue Dec 23 14:22:42 2014  read 164435 cycles
Tue Dec 23 14:22:42 2014  cycles contain 501544 unique relations
Tue Dec 23 14:22:53 2014  read 501544 relations
Tue Dec 23 14:22:54 2014  multiplying 501544 relations
Tue Dec 23 14:23:10 2014  multiply complete, coefficients have about 15.11 million bits
Tue Dec 23 14:23:10 2014  initial square root is modulo 478396661
Tue Dec 23 14:23:26 2014  GCD is N, no factor found
Tue Dec 23 14:23:26 2014  reading relations for dependency 6
Tue Dec 23 14:23:27 2014  read 163797 cycles
Tue Dec 23 14:23:27 2014  cycles contain 499248 unique relations
Tue Dec 23 14:23:39 2014  read 499248 relations
Tue Dec 23 14:23:41 2014  multiplying 499248 relations
Tue Dec 23 14:23:59 2014  multiply complete, coefficients have about 15.04 million bits
Tue Dec 23 14:23:59 2014  initial square root is modulo 437626811
Tue Dec 23 14:24:23 2014  GCD is N, no factor found
Tue Dec 23 14:24:23 2014  reading relations for dependency 7
Tue Dec 23 14:24:23 2014  read 164053 cycles
Tue Dec 23 14:24:23 2014  cycles contain 499584 unique relations
Tue Dec 23 14:24:35 2014  read 499584 relations
Tue Dec 23 14:24:37 2014  multiplying 499584 relations
Tue Dec 23 14:24:55 2014  multiply complete, coefficients have about 15.05 million bits
Tue Dec 23 14:24:56 2014  initial square root is modulo 443480161
Tue Dec 23 14:25:19 2014  Newton iteration failed to converge
Tue Dec 23 14:25:19 2014  algebraic square root failed
Tue Dec 23 14:25:19 2014  reading relations for dependency 8
Tue Dec 23 14:25:19 2014  read 164200 cycles
Tue Dec 23 14:25:19 2014  cycles contain 500192 unique relations
Tue Dec 23 14:25:31 2014  read 500192 relations
Tue Dec 23 14:25:33 2014  multiplying 500192 relations
Tue Dec 23 14:25:51 2014  multiply complete, coefficients have about 15.07 million bits
Tue Dec 23 14:25:51 2014  initial square root is modulo 454120781
Tue Dec 23 14:26:15 2014  GCD is N, no factor found
Tue Dec 23 14:26:15 2014  reading relations for dependency 9
Tue Dec 23 14:26:15 2014  read 164441 cycles
Tue Dec 23 14:26:15 2014  cycles contain 500440 unique relations
Tue Dec 23 14:26:29 2014  read 500440 relations
Tue Dec 23 14:26:31 2014  multiplying 500440 relations
Tue Dec 23 14:26:49 2014  multiply complete, coefficients have about 15.07 million bits
Tue Dec 23 14:26:49 2014  initial square root is modulo 457844081
Tue Dec 23 14:27:11 2014  GCD is 1, no factor found
Tue Dec 23 14:27:11 2014  reading relations for dependency 10
Tue Dec 23 14:27:11 2014  read 164256 cycles
Tue Dec 23 14:27:12 2014  cycles contain 500980 unique relations
Tue Dec 23 14:27:24 2014  read 500980 relations
Tue Dec 23 14:27:26 2014  multiplying 500980 relations
Tue Dec 23 14:27:43 2014  multiply complete, coefficients have about 15.09 million bits
Tue Dec 23 14:27:43 2014  initial square root is modulo 468066541
Tue Dec 23 14:28:07 2014  GCD is N, no factor found
Tue Dec 23 14:28:07 2014  reading relations for dependency 11
Tue Dec 23 14:28:07 2014  read 163643 cycles
Tue Dec 23 14:28:07 2014  cycles contain 500228 unique relations
Tue Dec 23 14:28:20 2014  read 500228 relations
Tue Dec 23 14:28:22 2014  multiplying 500228 relations
Tue Dec 23 14:28:38 2014  multiply complete, coefficients have about 15.07 million bits
Tue Dec 23 14:28:38 2014  initial square root is modulo 454116581
Tue Dec 23 14:28:59 2014  sqrtTime: 601
--
n: 311757775393056795184932274296286736464395791491713159459357039136087677502456182876740568366066442357673697246713537232598065302254040890704931
m: 1000000000000000000000000000000
deg: 5
c5: 1030
c0: -1
skew: 0.25
# Murphy_E = 9.957e-10
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:22:40 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 40 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:14 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 14 秒 (日本時間)

103×10152-13

c95

name 名前Dmitry Domanov
date 日付December 19, 2014 14:46:51 UTC 2014 年 12 月 19 日 (金) 23 時 46 分 51 秒 (日本時間)
composite number 合成数
78087911705162100063451522220742427402787585211049486860378138239038301395019316347976232966597<95>
prime factors 素因数
12191533183166195614327375524192181207951<41>
6405093644250109046389084243935691660271712174752387947<55>
factorization results 素因数分解の結果
N=78087911705162100063451522220742427402787585211049486860378138239038301395019316347976232966597
  ( 95 digits)
Divisors found:
 r1=12191533183166195614327375524192181207951 (pp41)
 r2=6405093644250109046389084243935691660271712174752387947 (pp55)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 1.86 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 78087911705162100063451522220742427402787585211049486860378138239038301395019316347976232966597
skew: 1255340.21
c0: -83049365603939239148542386
c1: 4002026489415955144769
c2: 3553700110059302
c3: -3283618144
c4: 1104
Y0: -91707902896518726910141
Y1: 874288476653
rlim: 1500000
alim: 1500000
lpbr: 25
lpba: 25
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 50/50
Sieved algebraic special-q in [750000, 930001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 211717 x 211965
Total sieving time: 1.77 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,94,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,25,25,50,50,2.5,2.5,60000
total time: 1.86 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

103×10153-13

c149

name 名前Cyp
date 日付December 24, 2014 03:30:35 UTC 2014 年 12 月 24 日 (水) 12 時 30 分 35 秒 (日本時間)
composite number 合成数
18760082405938677115486156607346557552199018610912430303106469296028818400763080012115734773233405841962515898259155421090084640756260813229537257979<149>
prime factors 素因数
309048573407667502159446238346223167449576703241895570793302687640056897<72>
60702698605219444261140932864013676082727514864011534070901389351577152610107<77>
factorization results 素因数分解の結果
12/23/14 23:34:37 v1.34.3, 
12/23/14 23:34:37 v1.34.3, ****************************
12/23/14 23:34:37 v1.34.3, Starting factorization of 18760082405938677115486156607346557552199018610912430303106469296028818400763080012115734773233405841962515898259155421090084640756260813229537257979
12/23/14 23:34:37 v1.34.3, using pretesting plan: none
12/23/14 23:34:37 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/23/14 23:34:37 v1.34.3, ****************************
12/23/14 23:34:37 v1.34.3, nfs: commencing nfs on c149: 18760082405938677115486156607346557552199018610912430303106469296028818400763080012115734773233405841962515898259155421090084640756260813229537257979
12/23/14 23:34:37 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/23/14 23:34:37 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 23:43:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
[30 lines snipped]
12/24/14 04:01:59 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/24/14 04:07:39 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/24/14 04:12:38 v1.34.3, nfs: commencing msieve filtering
12/24/14 04:15:41 v1.34.3, nfs: commencing msieve linear algebra
12/24/14 04:24:50 v1.34.3, nfs: commencing msieve sqrt
12/24/14 04:30:34 v1.34.3, prp72 = 309048573407667502159446238346223167449576703241895570793302687640056897
12/24/14 04:30:34 v1.34.3, prp77 = 60702698605219444261140932864013676082727514864011534070901389351577152610107
12/24/14 04:30:35 v1.34.3, NFS elapsed time = 17757.4390 seconds.
12/24/14 04:30:35 v1.34.3, 
12/24/14 04:30:35 v1.34.3, 
12/24/14 04:30:35 v1.34.3, Total factoring time = 17757.4403 seconds
--
Wed Dec 24 04:12:38 2014  
Wed Dec 24 04:12:38 2014  commencing relation filtering
Wed Dec 24 04:12:38 2014  estimated available RAM is 15987.3 MB
Wed Dec 24 04:12:38 2014  commencing duplicate removal, pass 1
Wed Dec 24 04:13:28 2014  found 1332101 hash collisions in 10210025 relations
Wed Dec 24 04:13:44 2014  added 360712 free relations
Wed Dec 24 04:13:44 2014  commencing duplicate removal, pass 2
Wed Dec 24 04:13:56 2014  found 856264 duplicates and 9714473 unique relations
Wed Dec 24 04:13:56 2014  memory use: 41.3 MB
Wed Dec 24 04:13:56 2014  reading ideals above 100000
Wed Dec 24 04:13:56 2014  commencing singleton removal, initial pass
Wed Dec 24 04:15:10 2014  memory use: 188.2 MB
Wed Dec 24 04:15:10 2014  reading all ideals from disk
Wed Dec 24 04:15:10 2014  memory use: 334.1 MB
Wed Dec 24 04:15:10 2014  keeping 9758808 ideals with weight <= 200, target excess is 51866
Wed Dec 24 04:15:11 2014  commencing in-memory singleton removal
Wed Dec 24 04:15:12 2014  begin with 9714473 relations and 9758808 unique ideals
Wed Dec 24 04:15:17 2014  reduce to 4815495 relations and 3766891 ideals in 11 passes
Wed Dec 24 04:15:17 2014  max relations containing the same ideal: 129
Wed Dec 24 04:15:19 2014  removing 1288419 relations and 888419 ideals in 400000 cliques
Wed Dec 24 04:15:20 2014  commencing in-memory singleton removal
Wed Dec 24 04:15:20 2014  begin with 3527076 relations and 3766891 unique ideals
Wed Dec 24 04:15:22 2014  reduce to 3305594 relations and 2634689 ideals in 8 passes
Wed Dec 24 04:15:22 2014  max relations containing the same ideal: 98
Wed Dec 24 04:15:23 2014  removing 1091492 relations and 691492 ideals in 400000 cliques
Wed Dec 24 04:15:24 2014  commencing in-memory singleton removal
Wed Dec 24 04:15:24 2014  begin with 2214102 relations and 2634689 unique ideals
Wed Dec 24 04:15:25 2014  reduce to 2022602 relations and 1729686 ideals in 8 passes
Wed Dec 24 04:15:25 2014  max relations containing the same ideal: 69
Wed Dec 24 04:15:26 2014  removing 660449 relations and 427698 ideals in 232751 cliques
Wed Dec 24 04:15:26 2014  commencing in-memory singleton removal
Wed Dec 24 04:15:26 2014  begin with 1362153 relations and 1729686 unique ideals
Wed Dec 24 04:15:27 2014  reduce to 1228024 relations and 1153209 ideals in 8 passes
Wed Dec 24 04:15:27 2014  max relations containing the same ideal: 51
Wed Dec 24 04:15:27 2014  removing 77274 relations and 62624 ideals in 14650 cliques
Wed Dec 24 04:15:27 2014  commencing in-memory singleton removal
Wed Dec 24 04:15:27 2014  begin with 1150750 relations and 1153209 unique ideals
Wed Dec 24 04:15:27 2014  reduce to 1146898 relations and 1086678 ideals in 6 passes
Wed Dec 24 04:15:27 2014  max relations containing the same ideal: 48
Wed Dec 24 04:15:28 2014  relations with 0 large ideals: 1152
Wed Dec 24 04:15:28 2014  relations with 1 large ideals: 860
Wed Dec 24 04:15:28 2014  relations with 2 large ideals: 10794
Wed Dec 24 04:15:28 2014  relations with 3 large ideals: 64268
Wed Dec 24 04:15:28 2014  relations with 4 large ideals: 191428
Wed Dec 24 04:15:28 2014  relations with 5 large ideals: 316057
Wed Dec 24 04:15:28 2014  relations with 6 large ideals: 316052
Wed Dec 24 04:15:28 2014  relations with 7+ large ideals: 246287
Wed Dec 24 04:15:28 2014  commencing 2-way merge
Wed Dec 24 04:15:28 2014  reduce to 717182 relation sets and 656962 unique ideals
Wed Dec 24 04:15:28 2014  commencing full merge
Wed Dec 24 04:15:37 2014  memory use: 84.5 MB
Wed Dec 24 04:15:37 2014  found 367149 cycles, need 359162
Wed Dec 24 04:15:37 2014  weight of 359162 cycles is about 25507743 (71.02/cycle)
Wed Dec 24 04:15:37 2014  distribution of cycle lengths:
Wed Dec 24 04:15:37 2014  1 relations: 29820
Wed Dec 24 04:15:37 2014  2 relations: 34013
Wed Dec 24 04:15:37 2014  3 relations: 37564
Wed Dec 24 04:15:37 2014  4 relations: 38210
Wed Dec 24 04:15:37 2014  5 relations: 37749
Wed Dec 24 04:15:37 2014  6 relations: 34834
Wed Dec 24 04:15:37 2014  7 relations: 30490
Wed Dec 24 04:15:37 2014  8 relations: 26324
Wed Dec 24 04:15:37 2014  9 relations: 21881
Wed Dec 24 04:15:37 2014  10+ relations: 68277
Wed Dec 24 04:15:37 2014  heaviest cycle: 20 relations
Wed Dec 24 04:15:37 2014  commencing cycle optimization
Wed Dec 24 04:15:38 2014  start with 2211184 relations
Wed Dec 24 04:15:40 2014  pruned 70960 relations
Wed Dec 24 04:15:40 2014  memory use: 69.4 MB
Wed Dec 24 04:15:40 2014  distribution of cycle lengths:
Wed Dec 24 04:15:40 2014  1 relations: 29820
Wed Dec 24 04:15:40 2014  2 relations: 34787
Wed Dec 24 04:15:40 2014  3 relations: 38960
Wed Dec 24 04:15:40 2014  4 relations: 39644
Wed Dec 24 04:15:40 2014  5 relations: 39263
Wed Dec 24 04:15:40 2014  6 relations: 36037
Wed Dec 24 04:15:40 2014  7 relations: 31360
Wed Dec 24 04:15:40 2014  8 relations: 26696
Wed Dec 24 04:15:40 2014  9 relations: 21957
Wed Dec 24 04:15:40 2014  10+ relations: 60638
Wed Dec 24 04:15:40 2014  heaviest cycle: 20 relations
Wed Dec 24 04:15:41 2014  RelProcTime: 183
Wed Dec 24 04:15:41 2014  
Wed Dec 24 04:15:41 2014  commencing linear algebra
Wed Dec 24 04:15:41 2014  read 359162 cycles
Wed Dec 24 04:15:41 2014  cycles contain 1112373 unique relations
Wed Dec 24 04:15:55 2014  read 1112373 relations
Wed Dec 24 04:15:56 2014  using 20 quadratic characters above 134213274
Wed Dec 24 04:16:01 2014  building initial matrix
Wed Dec 24 04:16:12 2014  memory use: 140.4 MB
Wed Dec 24 04:16:12 2014  read 359162 cycles
Wed Dec 24 04:16:12 2014  matrix is 358984 x 359162 (107.7 MB) with weight 32302054 (89.94/col)
Wed Dec 24 04:16:12 2014  sparse part has weight 24284126 (67.61/col)
Wed Dec 24 04:16:14 2014  filtering completed in 2 passes
Wed Dec 24 04:16:14 2014  matrix is 358875 x 359053 (107.7 MB) with weight 32298130 (89.95/col)
Wed Dec 24 04:16:14 2014  sparse part has weight 24282663 (67.63/col)
Wed Dec 24 04:16:15 2014  matrix starts at (0, 0)
Wed Dec 24 04:16:15 2014  matrix is 358875 x 359053 (107.7 MB) with weight 32298130 (89.95/col)
Wed Dec 24 04:16:15 2014  sparse part has weight 24282663 (67.63/col)
Wed Dec 24 04:16:15 2014  saving the first 48 matrix rows for later
Wed Dec 24 04:16:15 2014  matrix includes 64 packed rows
Wed Dec 24 04:16:15 2014  matrix is 358827 x 359053 (101.9 MB) with weight 25446969 (70.87/col)
Wed Dec 24 04:16:15 2014  sparse part has weight 23117308 (64.38/col)
Wed Dec 24 04:16:15 2014  using block size 65536 for processor cache size 8192 kB
Wed Dec 24 04:16:16 2014  commencing Lanczos iteration (8 threads)
Wed Dec 24 04:16:16 2014  memory use: 98.0 MB
Wed Dec 24 04:16:34 2014  linear algebra at 3.4%, ETA 0h 8m
Wed Dec 24 04:24:49 2014  lanczos halted after 5675 iterations (dim = 358824)
Wed Dec 24 04:24:50 2014  recovered 35 nontrivial dependencies
Wed Dec 24 04:24:50 2014  BLanczosTime: 549
Wed Dec 24 04:24:50 2014  
Wed Dec 24 04:24:50 2014  commencing square root phase
Wed Dec 24 04:24:50 2014  reading relations for dependency 1
Wed Dec 24 04:24:50 2014  read 179655 cycles
Wed Dec 24 04:24:50 2014  cycles contain 556486 unique relations
Wed Dec 24 04:25:02 2014  read 556486 relations
Wed Dec 24 04:25:04 2014  multiplying 556486 relations
Wed Dec 24 04:25:27 2014  multiply complete, coefficients have about 20.14 million bits
Wed Dec 24 04:25:27 2014  initial square root is modulo 611011
Wed Dec 24 04:25:59 2014  GCD is 1, no factor found
Wed Dec 24 04:25:59 2014  reading relations for dependency 2
Wed Dec 24 04:25:59 2014  read 179895 cycles
Wed Dec 24 04:25:59 2014  cycles contain 557776 unique relations
Wed Dec 24 04:26:11 2014  read 557776 relations
Wed Dec 24 04:26:13 2014  multiplying 557776 relations
Wed Dec 24 04:26:36 2014  multiply complete, coefficients have about 20.19 million bits
Wed Dec 24 04:26:36 2014  initial square root is modulo 629281
Wed Dec 24 04:27:08 2014  GCD is N, no factor found
Wed Dec 24 04:27:08 2014  reading relations for dependency 3
Wed Dec 24 04:27:08 2014  read 179112 cycles
Wed Dec 24 04:27:08 2014  cycles contain 555562 unique relations
Wed Dec 24 04:27:20 2014  read 555562 relations
Wed Dec 24 04:27:22 2014  multiplying 555562 relations
Wed Dec 24 04:27:45 2014  multiply complete, coefficients have about 20.11 million bits
Wed Dec 24 04:27:45 2014  initial square root is modulo 596611
Wed Dec 24 04:28:17 2014  GCD is N, no factor found
Wed Dec 24 04:28:17 2014  reading relations for dependency 4
Wed Dec 24 04:28:17 2014  read 179863 cycles
Wed Dec 24 04:28:17 2014  cycles contain 556180 unique relations
Wed Dec 24 04:28:29 2014  read 556180 relations
Wed Dec 24 04:28:31 2014  multiplying 556180 relations
Wed Dec 24 04:28:54 2014  multiply complete, coefficients have about 20.13 million bits
Wed Dec 24 04:28:54 2014  initial square root is modulo 605921
Wed Dec 24 04:29:26 2014  GCD is 1, no factor found
Wed Dec 24 04:29:26 2014  reading relations for dependency 5
Wed Dec 24 04:29:26 2014  read 178933 cycles
Wed Dec 24 04:29:26 2014  cycles contain 555732 unique relations
Wed Dec 24 04:29:38 2014  read 555732 relations
Wed Dec 24 04:29:40 2014  multiplying 555732 relations
Wed Dec 24 04:30:03 2014  multiply complete, coefficients have about 20.12 million bits
Wed Dec 24 04:30:03 2014  initial square root is modulo 599591
Wed Dec 24 04:30:34 2014  sqrtTime: 344
--
n: 18760082405938677115486156607346557552199018610912430303106469296028818400763080012115734773233405841962515898259155421090084640756260813229537257979
m: 1000000000000000000000000000000
deg: 5
c5: 103000
c0: -1
skew: 0.10
# Murphy_E = 7.448e-10
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:22:40 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 40 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:14 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 14 秒 (日本時間)

103×10156-13

c107

name 名前Cyp
date 日付December 20, 2014 09:40:27 UTC 2014 年 12 月 20 日 (土) 18 時 40 分 27 秒 (日本時間)
composite number 合成数
18819525926765120348089614419639162791691818747584295391633445081111353685225132455082832992719465831741407<107>
prime factors 素因数
3708225579542622329550991917538885937341917737<46>
5075075807304675002588905529585711694220512460867697188659911<61>
factorization results 素因数分解の結果
12/20/14 08:10:25 v1.34.3, 
12/20/14 08:10:25 v1.34.3, ****************************
12/20/14 08:10:25 v1.34.3, Starting factorization of 18819525926765120348089614419639162791691818747584295391633445081111353685225132455082832992719465831741407
12/20/14 08:10:25 v1.34.3, using pretesting plan: none
12/20/14 08:10:25 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 08:10:25 v1.34.3, ****************************
12/20/14 08:10:25 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C107
12/20/14 08:10:25 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C107
12/20/14 08:10:25 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C107
12/20/14 08:10:25 v1.34.3, final ECM pretested depth: 0.00
12/20/14 08:10:25 v1.34.3, scheduler: switching to sieve method
12/20/14 08:10:25 v1.34.3, nfs: commencing nfs on c107: 18819525926765120348089614419639162791691818747584295391633445081111353685225132455082832992719465831741407
12/20/14 08:10:25 v1.34.3, nfs: commencing poly selection with 8 threads
12/20/14 08:10:25 v1.34.3, nfs: setting deadline of 304 seconds
12/20/14 08:15:15 v1.34.3, nfs: completed 15 ranges of size 250 in 289.0791 seconds
12/20/14 08:15:15 v1.34.3, nfs: best poly = # norm 1.162233e-14 alpha -4.862709 e 4.197e-09 rroots 4
12/20/14 08:15:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 08:18:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
[30 lines snipped]
12/20/14 09:46:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 09:49:21 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 09:52:24 v1.34.3, nfs: commencing msieve filtering
12/20/14 09:53:33 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 09:56:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 09:59:58 v1.34.3, nfs: commencing msieve filtering
12/20/14 10:01:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 10:04:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 10:07:24 v1.34.3, nfs: commencing msieve filtering
12/20/14 10:08:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 10:11:53 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 10:15:00 v1.34.3, nfs: commencing msieve filtering
12/20/14 10:16:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 10:19:37 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 10:22:40 v1.34.3, nfs: commencing msieve filtering
12/20/14 10:24:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 10:27:18 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 10:30:24 v1.34.3, nfs: commencing msieve filtering
12/20/14 10:32:18 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 10:39:37 v1.34.3, nfs: commencing msieve sqrt
12/20/14 10:40:26 v1.34.3, prp61 = 5075075807304675002588905529585711694220512460867697188659911
12/20/14 10:40:26 v1.34.3, prp46 = 3708225579542622329550991917538885937341917737
12/20/14 10:40:26 v1.34.3, NFS elapsed time = 9000.2605 seconds.
12/20/14 10:40:26 v1.34.3, 
12/20/14 10:40:26 v1.34.3, 
12/20/14 10:40:26 v1.34.3, Total factoring time = 9000.3020 seconds
--
Sat Dec 20 09:52:24 2014  
Sat Dec 20 09:52:24 2014  commencing relation filtering
Sat Dec 20 09:52:24 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 09:52:24 2014  commencing duplicate removal, pass 1
Sat Dec 20 09:52:48 2014  found 540310 hash collisions in 4517657 relations
Sat Dec 20 09:52:54 2014  added 160299 free relations
Sat Dec 20 09:52:54 2014  commencing duplicate removal, pass 2
Sat Dec 20 09:52:59 2014  found 346166 duplicates and 4331790 unique relations
Sat Dec 20 09:52:59 2014  memory use: 20.6 MB
Sat Dec 20 09:52:59 2014  reading ideals above 100000
Sat Dec 20 09:52:59 2014  commencing singleton removal, initial pass
Sat Dec 20 09:53:32 2014  memory use: 172.2 MB
Sat Dec 20 09:53:32 2014  reading all ideals from disk
Sat Dec 20 09:53:32 2014  memory use: 142.2 MB
Sat Dec 20 09:53:32 2014  keeping 5514986 ideals with weight <= 200, target excess is 20966
Sat Dec 20 09:53:33 2014  commencing in-memory singleton removal
Sat Dec 20 09:53:33 2014  begin with 4331790 relations and 5514986 unique ideals
Sat Dec 20 09:53:33 2014  reduce to 393 relations and 0 ideals in 16 passes
Sat Dec 20 09:53:33 2014  max relations containing the same ideal: 0
Sat Dec 20 09:59:58 2014  
Sat Dec 20 09:59:58 2014  commencing relation filtering
Sat Dec 20 09:59:58 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 09:59:58 2014  commencing duplicate removal, pass 1
Sat Dec 20 10:00:25 2014  found 615642 hash collisions in 4962877 relations
Sat Dec 20 10:00:31 2014  added 912 free relations
Sat Dec 20 10:00:31 2014  commencing duplicate removal, pass 2
Sat Dec 20 10:00:37 2014  found 383238 duplicates and 4580551 unique relations
Sat Dec 20 10:00:37 2014  memory use: 20.6 MB
Sat Dec 20 10:00:37 2014  reading ideals above 100000
Sat Dec 20 10:00:37 2014  commencing singleton removal, initial pass
Sat Dec 20 10:01:10 2014  memory use: 172.2 MB
Sat Dec 20 10:01:11 2014  reading all ideals from disk
Sat Dec 20 10:01:11 2014  memory use: 150.5 MB
Sat Dec 20 10:01:11 2014  keeping 5638260 ideals with weight <= 200, target excess is 21965
Sat Dec 20 10:01:11 2014  commencing in-memory singleton removal
Sat Dec 20 10:01:11 2014  begin with 4580551 relations and 5638260 unique ideals
Sat Dec 20 10:01:15 2014  reduce to 399 relations and 0 ideals in 63 passes
Sat Dec 20 10:01:15 2014  max relations containing the same ideal: 0
Sat Dec 20 10:07:24 2014  
Sat Dec 20 10:07:24 2014  commencing relation filtering
Sat Dec 20 10:07:24 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 10:07:24 2014  commencing duplicate removal, pass 1
Sat Dec 20 10:07:51 2014  found 675316 hash collisions in 5243905 relations
Sat Dec 20 10:07:57 2014  added 683 free relations
Sat Dec 20 10:07:57 2014  commencing duplicate removal, pass 2
Sat Dec 20 10:08:03 2014  found 420822 duplicates and 4823766 unique relations
Sat Dec 20 10:08:03 2014  memory use: 20.6 MB
Sat Dec 20 10:08:03 2014  reading ideals above 100000
Sat Dec 20 10:08:03 2014  commencing singleton removal, initial pass
Sat Dec 20 10:08:38 2014  memory use: 172.2 MB
Sat Dec 20 10:08:38 2014  reading all ideals from disk
Sat Dec 20 10:08:38 2014  memory use: 158.6 MB
Sat Dec 20 10:08:39 2014  keeping 5750899 ideals with weight <= 200, target excess is 23154
Sat Dec 20 10:08:39 2014  commencing in-memory singleton removal
Sat Dec 20 10:08:39 2014  begin with 4823766 relations and 5750899 unique ideals
Sat Dec 20 10:08:44 2014  reduce to 1136883 relations and 1273546 ideals in 34 passes
Sat Dec 20 10:08:44 2014  max relations containing the same ideal: 72
Sat Dec 20 10:15:00 2014  
Sat Dec 20 10:15:00 2014  commencing relation filtering
Sat Dec 20 10:15:00 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 10:15:00 2014  commencing duplicate removal, pass 1
Sat Dec 20 10:15:29 2014  found 737165 hash collisions in 5526030 relations
Sat Dec 20 10:15:36 2014  added 603 free relations
Sat Dec 20 10:15:36 2014  commencing duplicate removal, pass 2
Sat Dec 20 10:15:42 2014  found 460167 duplicates and 5066466 unique relations
Sat Dec 20 10:15:42 2014  memory use: 20.6 MB
Sat Dec 20 10:15:42 2014  reading ideals above 100000
Sat Dec 20 10:15:42 2014  commencing singleton removal, initial pass
Sat Dec 20 10:16:19 2014  memory use: 172.2 MB
Sat Dec 20 10:16:19 2014  reading all ideals from disk
Sat Dec 20 10:16:19 2014  memory use: 166.6 MB
Sat Dec 20 10:16:19 2014  keeping 5856285 ideals with weight <= 200, target excess is 24381
Sat Dec 20 10:16:19 2014  commencing in-memory singleton removal
Sat Dec 20 10:16:20 2014  begin with 5066466 relations and 5856285 unique ideals
Sat Dec 20 10:16:25 2014  reduce to 1527164 relations and 1598892 ideals in 31 passes
Sat Dec 20 10:16:25 2014  max relations containing the same ideal: 91
Sat Dec 20 10:22:40 2014  
Sat Dec 20 10:22:40 2014  commencing relation filtering
Sat Dec 20 10:22:40 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 10:22:40 2014  commencing duplicate removal, pass 1
Sat Dec 20 10:23:11 2014  found 801577 hash collisions in 5810716 relations
Sat Dec 20 10:23:17 2014  added 480 free relations
Sat Dec 20 10:23:17 2014  commencing duplicate removal, pass 2
Sat Dec 20 10:23:24 2014  found 501201 duplicates and 5309995 unique relations
Sat Dec 20 10:23:24 2014  memory use: 20.6 MB
Sat Dec 20 10:23:24 2014  reading ideals above 100000
Sat Dec 20 10:23:24 2014  commencing singleton removal, initial pass
Sat Dec 20 10:24:03 2014  memory use: 172.2 MB
Sat Dec 20 10:24:03 2014  reading all ideals from disk
Sat Dec 20 10:24:03 2014  memory use: 174.7 MB
Sat Dec 20 10:24:03 2014  keeping 5955503 ideals with weight <= 200, target excess is 25649
Sat Dec 20 10:24:04 2014  commencing in-memory singleton removal
Sat Dec 20 10:24:04 2014  begin with 5309995 relations and 5955503 unique ideals
Sat Dec 20 10:24:08 2014  reduce to 1895404 relations and 1887098 ideals in 21 passes
Sat Dec 20 10:24:08 2014  max relations containing the same ideal: 99
Sat Dec 20 10:30:24 2014  
Sat Dec 20 10:30:24 2014  commencing relation filtering
Sat Dec 20 10:30:24 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 10:30:24 2014  commencing duplicate removal, pass 1
Sat Dec 20 10:30:55 2014  found 867239 hash collisions in 6094434 relations
Sat Dec 20 10:31:01 2014  added 420 free relations
Sat Dec 20 10:31:01 2014  commencing duplicate removal, pass 2
Sat Dec 20 10:31:08 2014  found 542877 duplicates and 5551977 unique relations
Sat Dec 20 10:31:08 2014  memory use: 37.3 MB
Sat Dec 20 10:31:08 2014  reading ideals above 100000
Sat Dec 20 10:31:08 2014  commencing singleton removal, initial pass
Sat Dec 20 10:31:48 2014  memory use: 172.2 MB
Sat Dec 20 10:31:48 2014  reading all ideals from disk
Sat Dec 20 10:31:48 2014  memory use: 182.8 MB
Sat Dec 20 10:31:48 2014  keeping 6048852 ideals with weight <= 200, target excess is 26874
Sat Dec 20 10:31:49 2014  commencing in-memory singleton removal
Sat Dec 20 10:31:49 2014  begin with 5551977 relations and 6048852 unique ideals
Sat Dec 20 10:31:53 2014  reduce to 2245934 relations and 2145997 ideals in 17 passes
Sat Dec 20 10:31:53 2014  max relations containing the same ideal: 111
Sat Dec 20 10:31:54 2014  removing 319646 relations and 285264 ideals in 34382 cliques
Sat Dec 20 10:31:54 2014  commencing in-memory singleton removal
Sat Dec 20 10:31:54 2014  begin with 1926288 relations and 2145997 unique ideals
Sat Dec 20 10:31:56 2014  reduce to 1885993 relations and 1819509 ideals in 12 passes
Sat Dec 20 10:31:56 2014  max relations containing the same ideal: 99
Sat Dec 20 10:31:57 2014  removing 236691 relations and 202309 ideals in 34382 cliques
Sat Dec 20 10:31:57 2014  commencing in-memory singleton removal
Sat Dec 20 10:31:57 2014  begin with 1649302 relations and 1819509 unique ideals
Sat Dec 20 10:31:58 2014  reduce to 1622815 relations and 1590175 ideals in 9 passes
Sat Dec 20 10:31:58 2014  max relations containing the same ideal: 87
Sat Dec 20 10:31:59 2014  relations with 0 large ideals: 492
Sat Dec 20 10:31:59 2014  relations with 1 large ideals: 215
Sat Dec 20 10:31:59 2014  relations with 2 large ideals: 3108
Sat Dec 20 10:31:59 2014  relations with 3 large ideals: 27304
Sat Dec 20 10:31:59 2014  relations with 4 large ideals: 126934
Sat Dec 20 10:31:59 2014  relations with 5 large ideals: 345033
Sat Dec 20 10:31:59 2014  relations with 6 large ideals: 482423
Sat Dec 20 10:31:59 2014  relations with 7+ large ideals: 637306
Sat Dec 20 10:31:59 2014  commencing 2-way merge
Sat Dec 20 10:31:59 2014  reduce to 934319 relation sets and 901680 unique ideals
Sat Dec 20 10:31:59 2014  ignored 1 oversize relation sets
Sat Dec 20 10:31:59 2014  commencing full merge
Sat Dec 20 10:32:12 2014  memory use: 106.5 MB
Sat Dec 20 10:32:12 2014  found 449656 cycles, need 445880
Sat Dec 20 10:32:12 2014  weight of 445880 cycles is about 31321230 (70.25/cycle)
Sat Dec 20 10:32:12 2014  distribution of cycle lengths:
Sat Dec 20 10:32:12 2014  1 relations: 52292
Sat Dec 20 10:32:12 2014  2 relations: 47668
Sat Dec 20 10:32:12 2014  3 relations: 46417
Sat Dec 20 10:32:12 2014  4 relations: 42337
Sat Dec 20 10:32:12 2014  5 relations: 38463
Sat Dec 20 10:32:12 2014  6 relations: 33672
Sat Dec 20 10:32:12 2014  7 relations: 28856
Sat Dec 20 10:32:12 2014  8 relations: 25963
Sat Dec 20 10:32:12 2014  9 relations: 22568
Sat Dec 20 10:32:12 2014  10+ relations: 107644
Sat Dec 20 10:32:12 2014  heaviest cycle: 26 relations
Sat Dec 20 10:32:12 2014  commencing cycle optimization
Sat Dec 20 10:32:13 2014  start with 2935270 relations
Sat Dec 20 10:32:17 2014  pruned 67821 relations
Sat Dec 20 10:32:17 2014  memory use: 95.0 MB
Sat Dec 20 10:32:17 2014  distribution of cycle lengths:
Sat Dec 20 10:32:17 2014  1 relations: 52292
Sat Dec 20 10:32:17 2014  2 relations: 48651
Sat Dec 20 10:32:17 2014  3 relations: 47934
Sat Dec 20 10:32:17 2014  4 relations: 43219
Sat Dec 20 10:32:17 2014  5 relations: 39308
Sat Dec 20 10:32:17 2014  6 relations: 34014
Sat Dec 20 10:32:17 2014  7 relations: 29378
Sat Dec 20 10:32:17 2014  8 relations: 26059
Sat Dec 20 10:32:17 2014  9 relations: 22493
Sat Dec 20 10:32:17 2014  10+ relations: 102532
Sat Dec 20 10:32:17 2014  heaviest cycle: 26 relations
Sat Dec 20 10:32:18 2014  RelProcTime: 114
Sat Dec 20 10:32:18 2014  
Sat Dec 20 10:32:18 2014  commencing linear algebra
Sat Dec 20 10:32:18 2014  read 445880 cycles
Sat Dec 20 10:32:18 2014  cycles contain 1576049 unique relations
Sat Dec 20 10:32:30 2014  read 1576049 relations
Sat Dec 20 10:32:31 2014  using 20 quadratic characters above 67108670
Sat Dec 20 10:32:38 2014  building initial matrix
Sat Dec 20 10:32:53 2014  memory use: 192.3 MB
Sat Dec 20 10:32:53 2014  read 445880 cycles
Sat Dec 20 10:32:53 2014  matrix is 445702 x 445880 (133.5 MB) with weight 42208796 (94.66/col)
Sat Dec 20 10:32:53 2014  sparse part has weight 30102683 (67.51/col)
Sat Dec 20 10:32:57 2014  filtering completed in 2 passes
Sat Dec 20 10:32:57 2014  matrix is 445187 x 445365 (133.5 MB) with weight 42187460 (94.73/col)
Sat Dec 20 10:32:57 2014  sparse part has weight 30096393 (67.58/col)
Sat Dec 20 10:32:58 2014  matrix starts at (0, 0)
Sat Dec 20 10:32:58 2014  matrix is 445187 x 445365 (133.5 MB) with weight 42187460 (94.73/col)
Sat Dec 20 10:32:58 2014  sparse part has weight 30096393 (67.58/col)
Sat Dec 20 10:32:58 2014  saving the first 48 matrix rows for later
Sat Dec 20 10:32:58 2014  matrix includes 64 packed rows
Sat Dec 20 10:32:58 2014  matrix is 445139 x 445365 (129.0 MB) with weight 33692399 (75.65/col)
Sat Dec 20 10:32:58 2014  sparse part has weight 29372495 (65.95/col)
Sat Dec 20 10:32:58 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 20 10:33:00 2014  commencing Lanczos iteration (8 threads)
Sat Dec 20 10:33:00 2014  memory use: 122.7 MB
Sat Dec 20 10:33:18 2014  linear algebra at 2.7%, ETA 0h10m
Sat Dec 20 10:39:37 2014  lanczos halted after 7040 iterations (dim = 445139)
Sat Dec 20 10:39:37 2014  recovered 35 nontrivial dependencies
Sat Dec 20 10:39:37 2014  BLanczosTime: 439
Sat Dec 20 10:39:37 2014  
Sat Dec 20 10:39:37 2014  commencing square root phase
Sat Dec 20 10:39:37 2014  reading relations for dependency 1
Sat Dec 20 10:39:37 2014  read 222707 cycles
Sat Dec 20 10:39:37 2014  cycles contain 789086 unique relations
Sat Dec 20 10:39:43 2014  read 789086 relations
Sat Dec 20 10:39:45 2014  multiplying 789086 relations
Sat Dec 20 10:39:58 2014  multiply complete, coefficients have about 32.05 million bits
Sat Dec 20 10:39:58 2014  initial square root is modulo 1602944171
Sat Dec 20 10:40:26 2014  sqrtTime: 49
--
n: 18819525926765120348089614419639162791691818747584295391633445081111353685225132455082832992719465831741407
skew: 22471930.98
c0: 8073904244480935317571208739372
c1: 688132972235179038653140
c2: -173153730582813901
c3: -3523971660
c4: 144
Y0: -106920881908449478429358717
Y1: 39656637392281
rlim: 2780000
alim: 2780000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:37 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 37 秒 (日本時間)

103×10157-13

c158

name 名前Cyp
date 日付December 26, 2014 02:26:02 UTC 2014 年 12 月 26 日 (金) 11 時 26 分 2 秒 (日本時間)
composite number 合成数
49047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619<158>
prime factors 素因数
482186436787287140373958706759496115752813414244495913206780781<63>
101719200926541261729865039540895419877827985059269734765777938573799451052306357809626353436399<96>
factorization results 素因数分解の結果
12/26/14 00:40:27 v1.34.3, 
12/26/14 00:40:27 v1.34.3, ****************************
12/26/14 00:40:27 v1.34.3, Starting factorization of 49047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619
12/26/14 00:40:27 v1.34.3, using pretesting plan: none
12/26/14 00:40:27 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/26/14 00:40:27 v1.34.3, ****************************
12/26/14 00:40:27 v1.34.3, nfs: commencing nfs on c158: 49047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619
12/26/14 00:40:27 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/26/14 00:40:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/14 00:44:49 v1.34.3, nfs: commencing lattice sieving with 8 threads
[32 lines snipped]
12/26/14 03:10:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/14 03:15:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/14 03:19:36 v1.34.3, nfs: commencing msieve filtering
12/26/14 03:21:22 v1.34.3, nfs: commencing msieve linear algebra
12/26/14 03:25:25 v1.34.3, nfs: commencing msieve sqrt
12/26/14 03:26:01 v1.34.3, prp96 = 101719200926541261729865039540895419877827985059269734765777938573799451052306357809626353436399
12/26/14 03:26:01 v1.34.3, prp63 = 482186436787287140373958706759496115752813414244495913206780781
12/26/14 03:26:01 v1.34.3, NFS elapsed time = 9933.8582 seconds.
12/26/14 03:26:01 v1.34.3, 
12/26/14 03:26:01 v1.34.3, 
12/26/14 03:26:01 v1.34.3, Total factoring time = 9933.8590 seconds
--
Fri Dec 26 03:19:36 2014  
Fri Dec 26 03:19:36 2014  commencing relation filtering
Fri Dec 26 03:19:36 2014  estimated available RAM is 15987.3 MB
Fri Dec 26 03:19:36 2014  commencing duplicate removal, pass 1
Fri Dec 26 03:20:05 2014  found 1316969 hash collisions in 10249748 relations
Fri Dec 26 03:20:13 2014  added 359709 free relations
Fri Dec 26 03:20:13 2014  commencing duplicate removal, pass 2
Fri Dec 26 03:20:21 2014  found 830692 duplicates and 9778765 unique relations
Fri Dec 26 03:20:21 2014  memory use: 41.3 MB
Fri Dec 26 03:20:21 2014  reading ideals above 100000
Fri Dec 26 03:20:21 2014  commencing singleton removal, initial pass
Fri Dec 26 03:21:03 2014  memory use: 188.2 MB
Fri Dec 26 03:21:03 2014  reading all ideals from disk
Fri Dec 26 03:21:03 2014  memory use: 338.5 MB
Fri Dec 26 03:21:03 2014  keeping 9828589 ideals with weight <= 200, target excess is 51979
Fri Dec 26 03:21:04 2014  commencing in-memory singleton removal
Fri Dec 26 03:21:04 2014  begin with 9778765 relations and 9828589 unique ideals
Fri Dec 26 03:21:07 2014  reduce to 4872969 relations and 3838143 ideals in 14 passes
Fri Dec 26 03:21:07 2014  max relations containing the same ideal: 127
Fri Dec 26 03:21:08 2014  removing 1295130 relations and 895130 ideals in 400000 cliques
Fri Dec 26 03:21:09 2014  commencing in-memory singleton removal
Fri Dec 26 03:21:09 2014  begin with 3577839 relations and 3838143 unique ideals
Fri Dec 26 03:21:10 2014  reduce to 3354248 relations and 2697182 ideals in 9 passes
Fri Dec 26 03:21:10 2014  max relations containing the same ideal: 96
Fri Dec 26 03:21:11 2014  removing 1098768 relations and 698768 ideals in 400000 cliques
Fri Dec 26 03:21:11 2014  commencing in-memory singleton removal
Fri Dec 26 03:21:11 2014  begin with 2255480 relations and 2697182 unique ideals
Fri Dec 26 03:21:11 2014  reduce to 2059651 relations and 1780228 ideals in 8 passes
Fri Dec 26 03:21:11 2014  max relations containing the same ideal: 70
Fri Dec 26 03:21:12 2014  removing 634927 relations and 415800 ideals in 219127 cliques
Fri Dec 26 03:21:12 2014  commencing in-memory singleton removal
Fri Dec 26 03:21:12 2014  begin with 1424724 relations and 1780228 unique ideals
Fri Dec 26 03:21:12 2014  reduce to 1298711 relations and 1225382 ideals in 7 passes
Fri Dec 26 03:21:12 2014  max relations containing the same ideal: 53
Fri Dec 26 03:21:13 2014  removing 70834 relations and 57801 ideals in 13033 cliques
Fri Dec 26 03:21:13 2014  commencing in-memory singleton removal
Fri Dec 26 03:21:13 2014  begin with 1227877 relations and 1225382 unique ideals
Fri Dec 26 03:21:13 2014  reduce to 1224938 relations and 1164605 ideals in 6 passes
Fri Dec 26 03:21:13 2014  max relations containing the same ideal: 49
Fri Dec 26 03:21:13 2014  relations with 0 large ideals: 1202
Fri Dec 26 03:21:13 2014  relations with 1 large ideals: 673
Fri Dec 26 03:21:13 2014  relations with 2 large ideals: 10060
Fri Dec 26 03:21:13 2014  relations with 3 large ideals: 62449
Fri Dec 26 03:21:13 2014  relations with 4 large ideals: 191297
Fri Dec 26 03:21:13 2014  relations with 5 large ideals: 328776
Fri Dec 26 03:21:13 2014  relations with 6 large ideals: 343448
Fri Dec 26 03:21:13 2014  relations with 7+ large ideals: 287033
Fri Dec 26 03:21:13 2014  commencing 2-way merge
Fri Dec 26 03:21:13 2014  reduce to 767260 relation sets and 706927 unique ideals
Fri Dec 26 03:21:13 2014  commencing full merge
Fri Dec 26 03:21:20 2014  memory use: 90.6 MB
Fri Dec 26 03:21:20 2014  found 397169 cycles, need 389127
Fri Dec 26 03:21:20 2014  weight of 389127 cycles is about 27332887 (70.24/cycle)
Fri Dec 26 03:21:20 2014  distribution of cycle lengths:
Fri Dec 26 03:21:20 2014  1 relations: 35348
Fri Dec 26 03:21:20 2014  2 relations: 38633
Fri Dec 26 03:21:20 2014  3 relations: 41602
Fri Dec 26 03:21:20 2014  4 relations: 41831
Fri Dec 26 03:21:20 2014  5 relations: 41114
Fri Dec 26 03:21:20 2014  6 relations: 37589
Fri Dec 26 03:21:20 2014  7 relations: 33447
Fri Dec 26 03:21:20 2014  8 relations: 28447
Fri Dec 26 03:21:20 2014  9 relations: 23143
Fri Dec 26 03:21:20 2014  10+ relations: 67973
Fri Dec 26 03:21:20 2014  heaviest cycle: 19 relations
Fri Dec 26 03:21:20 2014  commencing cycle optimization
Fri Dec 26 03:21:20 2014  start with 2322674 relations
Fri Dec 26 03:21:22 2014  pruned 71859 relations
Fri Dec 26 03:21:22 2014  memory use: 73.8 MB
Fri Dec 26 03:21:22 2014  distribution of cycle lengths:
Fri Dec 26 03:21:22 2014  1 relations: 35348
Fri Dec 26 03:21:22 2014  2 relations: 39467
Fri Dec 26 03:21:22 2014  3 relations: 43187
Fri Dec 26 03:21:22 2014  4 relations: 43265
Fri Dec 26 03:21:22 2014  5 relations: 42821
Fri Dec 26 03:21:22 2014  6 relations: 38829
Fri Dec 26 03:21:22 2014  7 relations: 34338
Fri Dec 26 03:21:22 2014  8 relations: 28654
Fri Dec 26 03:21:22 2014  9 relations: 22904
Fri Dec 26 03:21:22 2014  10+ relations: 60314
Fri Dec 26 03:21:22 2014  heaviest cycle: 19 relations
Fri Dec 26 03:21:22 2014  RelProcTime: 106
Fri Dec 26 03:21:22 2014  
Fri Dec 26 03:21:22 2014  commencing linear algebra
Fri Dec 26 03:21:23 2014  read 389127 cycles
Fri Dec 26 03:21:23 2014  cycles contain 1190465 unique relations
Fri Dec 26 03:21:32 2014  read 1190465 relations
Fri Dec 26 03:21:32 2014  using 20 quadratic characters above 134217690
Fri Dec 26 03:21:36 2014  building initial matrix
Fri Dec 26 03:21:42 2014  memory use: 147.8 MB
Fri Dec 26 03:21:42 2014  read 389127 cycles
Fri Dec 26 03:21:42 2014  matrix is 388950 x 389127 (115.7 MB) with weight 34355893 (88.29/col)
Fri Dec 26 03:21:42 2014  sparse part has weight 26058694 (66.97/col)
Fri Dec 26 03:21:44 2014  filtering completed in 2 passes
Fri Dec 26 03:21:44 2014  matrix is 388832 x 389009 (115.7 MB) with weight 34352185 (88.31/col)
Fri Dec 26 03:21:44 2014  sparse part has weight 26057431 (66.98/col)
Fri Dec 26 03:21:44 2014  matrix starts at (0, 0)
Fri Dec 26 03:21:44 2014  matrix is 388832 x 389009 (115.7 MB) with weight 34352185 (88.31/col)
Fri Dec 26 03:21:44 2014  sparse part has weight 26057431 (66.98/col)
Fri Dec 26 03:21:44 2014  saving the first 48 matrix rows for later
Fri Dec 26 03:21:44 2014  matrix includes 64 packed rows
Fri Dec 26 03:21:44 2014  matrix is 388784 x 389009 (109.5 MB) with weight 27358872 (70.33/col)
Fri Dec 26 03:21:44 2014  sparse part has weight 24806041 (63.77/col)
Fri Dec 26 03:21:44 2014  using block size 65536 for processor cache size 8192 kB
Fri Dec 26 03:21:45 2014  commencing Lanczos iteration (8 threads)
Fri Dec 26 03:21:45 2014  memory use: 105.2 MB
Fri Dec 26 03:21:52 2014  linear algebra at 3.1%, ETA 0h 3m
Fri Dec 26 03:25:24 2014  lanczos halted after 6150 iterations (dim = 388781)
Fri Dec 26 03:25:25 2014  recovered 36 nontrivial dependencies
Fri Dec 26 03:25:25 2014  BLanczosTime: 243
Fri Dec 26 03:25:25 2014  
Fri Dec 26 03:25:25 2014  commencing square root phase
Fri Dec 26 03:25:25 2014  reading relations for dependency 1
Fri Dec 26 03:25:25 2014  read 194313 cycles
Fri Dec 26 03:25:25 2014  cycles contain 594708 unique relations
Fri Dec 26 03:25:32 2014  read 594708 relations
Fri Dec 26 03:25:34 2014  multiplying 594708 relations
Fri Dec 26 03:25:45 2014  multiply complete, coefficients have about 19.81 million bits
Fri Dec 26 03:25:45 2014  initial square root is modulo 489161
Fri Dec 26 03:26:01 2014  sqrtTime: 36
--
n: 49047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619
m: 10000000000000000000000000000000
deg: 5
c5: 10300
c0: -1
skew: 0.16
# Murphy_E = 6.285e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
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
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:05 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 5 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:26 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 26 秒 (日本時間)

103×10160-13

c146

name 名前Serge Batalov
date 日付December 20, 2014 22:07:34 UTC 2014 年 12 月 21 日 (日) 7 時 7 分 34 秒 (日本時間)
composite number 合成数
10633329983920964022217949345751495109040293460214427084847722817542127328388578200258841532290839116671489790476634406844340648490340157140167333<146>
prime factors 素因数
62604224485171069671985465391<29>
3751895641896020404235082761341876547<37>
45270459369867708413360552829701228068329416368835386392579528000156255020396729<80>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2496133382
Step 1 took 9107ms
Step 2 took 3824ms
********** Factor found in step 2: 62604224485171069671985465391
Found probable prime factor of 29 digits: 62604224485171069671985465391

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3329189033
Step 1 took 9125ms
Step 2 took 7136ms
********** Factor found in step 2: 3751895641896020404235082761341876547
Found probable prime factor of 37 digits: 3751895641896020404235082761341876547

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:22:41 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 41 秒 (日本時間)

103×10161-13

c135

name 名前Cyp
date 日付December 28, 2014 01:19:09 UTC 2014 年 12 月 28 日 (日) 10 時 19 分 9 秒 (日本時間)
composite number 合成数
268982791657089597868157237107474232820085726931608708571098102291905110527256269724027932240580145199476524768405969287071149373399497<135>
prime factors 素因数
18602380576812628483592337867098697647<38>
14459589757687759466361330128958716009850609381006242838052843919043778471704903289323048633068551<98>
factorization results 素因数分解の結果
12/27/14 21:52:06 v1.34.3, 
12/27/14 21:52:06 v1.34.3, ****************************
12/27/14 21:52:06 v1.34.3, Starting factorization of 268982791657089597868157237107474232820085726931608708571098102291905110527256269724027932240580145199476524768405969287071149373399497
12/27/14 21:52:06 v1.34.3, using pretesting plan: none
12/27/14 21:52:06 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/27/14 21:52:06 v1.34.3, ****************************
12/27/14 21:52:06 v1.34.3, nfs: commencing nfs on c135: 268982791657089597868157237107474232820085726931608708571098102291905110527256269724027932240580145199476524768405969287071149373399497
12/27/14 21:52:06 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/27/14 21:52:06 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/27/14 21:53:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
[224 lines snipped]
12/28/14 01:57:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/28/14 01:58:33 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/28/14 01:59:33 v1.34.3, nfs: commencing msieve filtering
12/28/14 02:01:27 v1.34.3, nfs: commencing msieve linear algebra
12/28/14 02:17:55 v1.34.3, nfs: commencing msieve sqrt
12/28/14 02:19:08 v1.34.3, prp38 = 18602380576812628483592337867098697647
12/28/14 02:19:08 v1.34.3, prp98 = 14459589757687759466361330128958716009850609381006242838052843919043778471704903289323048633068551
12/28/14 02:19:08 v1.34.3, NFS elapsed time = 16022.6452 seconds.
12/28/14 02:19:08 v1.34.3, 
12/28/14 02:19:08 v1.34.3, 
12/28/14 02:19:08 v1.34.3, Total factoring time = 16022.6461 seconds
--
Sun Dec 28 01:59:33 2014  
Sun Dec 28 01:59:33 2014  commencing relation filtering
Sun Dec 28 01:59:33 2014  estimated available RAM is 15987.3 MB
Sun Dec 28 01:59:33 2014  commencing duplicate removal, pass 1
Sun Dec 28 02:00:00 2014  found 1769728 hash collisions in 10062900 relations
Sun Dec 28 02:00:09 2014  added 361889 free relations
Sun Dec 28 02:00:09 2014  commencing duplicate removal, pass 2
Sun Dec 28 02:00:17 2014  found 1494433 duplicates and 8930356 unique relations
Sun Dec 28 02:00:17 2014  memory use: 45.3 MB
Sun Dec 28 02:00:17 2014  reading ideals above 100000
Sun Dec 28 02:00:17 2014  commencing singleton removal, initial pass
Sun Dec 28 02:00:55 2014  memory use: 188.2 MB
Sun Dec 28 02:00:55 2014  reading all ideals from disk
Sun Dec 28 02:00:55 2014  memory use: 312.6 MB
Sun Dec 28 02:00:55 2014  keeping 10075897 ideals with weight <= 200, target excess is 45058
Sun Dec 28 02:00:56 2014  commencing in-memory singleton removal
Sun Dec 28 02:00:56 2014  begin with 8930356 relations and 10075897 unique ideals
Sun Dec 28 02:00:59 2014  reduce to 3394764 relations and 3251686 ideals in 17 passes
Sun Dec 28 02:00:59 2014  max relations containing the same ideal: 106
Sun Dec 28 02:01:00 2014  removing 401026 relations and 355621 ideals in 45405 cliques
Sun Dec 28 02:01:00 2014  commencing in-memory singleton removal
Sun Dec 28 02:01:00 2014  begin with 2993738 relations and 3251686 unique ideals
Sun Dec 28 02:01:01 2014  reduce to 2953653 relations and 2855263 ideals in 10 passes
Sun Dec 28 02:01:01 2014  max relations containing the same ideal: 95
Sun Dec 28 02:01:02 2014  removing 297970 relations and 252565 ideals in 45405 cliques
Sun Dec 28 02:01:02 2014  commencing in-memory singleton removal
Sun Dec 28 02:01:02 2014  begin with 2655683 relations and 2855263 unique ideals
Sun Dec 28 02:01:03 2014  reduce to 2630957 relations and 2577616 ideals in 10 passes
Sun Dec 28 02:01:03 2014  max relations containing the same ideal: 89
Sun Dec 28 02:01:04 2014  relations with 0 large ideals: 1005
Sun Dec 28 02:01:04 2014  relations with 1 large ideals: 335
Sun Dec 28 02:01:04 2014  relations with 2 large ideals: 5754
Sun Dec 28 02:01:04 2014  relations with 3 large ideals: 47540
Sun Dec 28 02:01:04 2014  relations with 4 large ideals: 208671
Sun Dec 28 02:01:04 2014  relations with 5 large ideals: 522024
Sun Dec 28 02:01:04 2014  relations with 6 large ideals: 790715
Sun Dec 28 02:01:04 2014  relations with 7+ large ideals: 1054913
Sun Dec 28 02:01:04 2014  commencing 2-way merge
Sun Dec 28 02:01:05 2014  reduce to 1555828 relation sets and 1502487 unique ideals
Sun Dec 28 02:01:05 2014  commencing full merge
Sun Dec 28 02:01:21 2014  memory use: 188.0 MB
Sun Dec 28 02:01:21 2014  found 787272 cycles, need 780687
Sun Dec 28 02:01:21 2014  weight of 780687 cycles is about 54731880 (70.11/cycle)
Sun Dec 28 02:01:21 2014  distribution of cycle lengths:
Sun Dec 28 02:01:21 2014  1 relations: 94893
Sun Dec 28 02:01:21 2014  2 relations: 90692
Sun Dec 28 02:01:21 2014  3 relations: 86501
Sun Dec 28 02:01:21 2014  4 relations: 78326
Sun Dec 28 02:01:21 2014  5 relations: 69502
Sun Dec 28 02:01:21 2014  6 relations: 60005
Sun Dec 28 02:01:21 2014  7 relations: 51466
Sun Dec 28 02:01:21 2014  8 relations: 44254
Sun Dec 28 02:01:21 2014  9 relations: 38263
Sun Dec 28 02:01:21 2014  10+ relations: 166785
Sun Dec 28 02:01:21 2014  heaviest cycle: 25 relations
Sun Dec 28 02:01:21 2014  commencing cycle optimization
Sun Dec 28 02:01:22 2014  start with 4829670 relations
Sun Dec 28 02:01:26 2014  pruned 117277 relations
Sun Dec 28 02:01:26 2014  memory use: 155.9 MB
Sun Dec 28 02:01:26 2014  distribution of cycle lengths:
Sun Dec 28 02:01:26 2014  1 relations: 94893
Sun Dec 28 02:01:26 2014  2 relations: 92491
Sun Dec 28 02:01:26 2014  3 relations: 89316
Sun Dec 28 02:01:26 2014  4 relations: 79970
Sun Dec 28 02:01:26 2014  5 relations: 71160
Sun Dec 28 02:01:26 2014  6 relations: 60784
Sun Dec 28 02:01:26 2014  7 relations: 52080
Sun Dec 28 02:01:26 2014  8 relations: 44389
Sun Dec 28 02:01:26 2014  9 relations: 38206
Sun Dec 28 02:01:26 2014  10+ relations: 157398
Sun Dec 28 02:01:26 2014  heaviest cycle: 25 relations
Sun Dec 28 02:01:27 2014  RelProcTime: 114
Sun Dec 28 02:01:27 2014  
Sun Dec 28 02:01:27 2014  commencing linear algebra
Sun Dec 28 02:01:27 2014  read 780687 cycles
Sun Dec 28 02:01:28 2014  cycles contain 2572703 unique relations
Sun Dec 28 02:01:39 2014  read 2572703 relations
Sun Dec 28 02:01:41 2014  using 20 quadratic characters above 134217158
Sun Dec 28 02:01:49 2014  building initial matrix
Sun Dec 28 02:02:02 2014  memory use: 312.2 MB
Sun Dec 28 02:02:02 2014  read 780687 cycles
Sun Dec 28 02:02:03 2014  matrix is 780509 x 780687 (233.3 MB) with weight 68981923 (88.36/col)
Sun Dec 28 02:02:03 2014  sparse part has weight 52566828 (67.33/col)
Sun Dec 28 02:02:06 2014  filtering completed in 2 passes
Sun Dec 28 02:02:06 2014  matrix is 779941 x 780119 (233.2 MB) with weight 68962838 (88.40/col)
Sun Dec 28 02:02:06 2014  sparse part has weight 52560361 (67.37/col)
Sun Dec 28 02:02:08 2014  matrix starts at (0, 0)
Sun Dec 28 02:02:08 2014  matrix is 779941 x 780119 (233.2 MB) with weight 68962838 (88.40/col)
Sun Dec 28 02:02:08 2014  sparse part has weight 52560361 (67.37/col)
Sun Dec 28 02:02:08 2014  saving the first 48 matrix rows for later
Sun Dec 28 02:02:08 2014  matrix includes 64 packed rows
Sun Dec 28 02:02:08 2014  matrix is 779893 x 780119 (219.9 MB) with weight 54447657 (69.79/col)
Sun Dec 28 02:02:08 2014  sparse part has weight 49842985 (63.89/col)
Sun Dec 28 02:02:08 2014  using block size 65536 for processor cache size 8192 kB
Sun Dec 28 02:02:10 2014  commencing Lanczos iteration (8 threads)
Sun Dec 28 02:02:10 2014  memory use: 214.2 MB
Sun Dec 28 02:02:13 2014  linear algebra at 0.4%, ETA 0h12m
Sun Dec 28 02:17:55 2014  lanczos halted after 12335 iterations (dim = 779893)
Sun Dec 28 02:17:55 2014  recovered 39 nontrivial dependencies
Sun Dec 28 02:17:55 2014  BLanczosTime: 988
Sun Dec 28 02:17:55 2014  
Sun Dec 28 02:17:55 2014  commencing square root phase
Sun Dec 28 02:17:55 2014  reading relations for dependency 1
Sun Dec 28 02:17:56 2014  read 389651 cycles
Sun Dec 28 02:17:56 2014  cycles contain 1285452 unique relations
Sun Dec 28 02:18:05 2014  read 1285452 relations
Sun Dec 28 02:18:07 2014  multiplying 1285452 relations
Sun Dec 28 02:18:35 2014  multiply complete, coefficients have about 38.38 million bits
Sun Dec 28 02:18:35 2014  initial square root is modulo 324031
Sun Dec 28 02:19:08 2014  sqrtTime: 73
--
n: 268982791657089597868157237107474232820085726931608708571098102291905110527256269724027932240580145199476524768405969287071149373399497
m: 100000000000000000000000000000000
deg: 5
c5: 1030
c0: -1
skew: 0.25
# Murphy_E = 4.096e-10
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:22:41 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 41 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:14 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 14 秒 (日本時間)

103×10163-13

c148

name 名前Serge Batalov
date 日付December 21, 2014 01:58:09 UTC 2014 年 12 月 21 日 (日) 10 時 58 分 9 秒 (日本時間)
composite number 合成数
3090347296668945793217776418058606283274367480255887327861988905167007980689070621369988416054685002728784439812085577342199875266106387511552408453<148>
prime factors 素因数
671787966766306918258853114609678507<36>
4600182571808370355933435785175905299528845153343662754544499132548726875925566410224985807600675356466503515279<112>
factorization results 素因数分解の結果
Input number is 3090347296668945793217776418058606283274367480255887327861988905167007980689070621369988416054685002728784439812085577342199875266106387511552408453 (148 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4073831626
Step 1 took 9127ms
Step 2 took 7342ms
********** Factor found in step 2: 671787966766306918258853114609678507
Found probable prime factor of 36 digits: 671787966766306918258853114609678507
Probable prime cofactor 4600182571808370355933435785175905299528845153343662754544499132548726875925566410224985807600675356466503515279 has 112 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:22:42 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 42 秒 (日本時間)

103×10166-13

c168

name 名前Robert Backstrom
date 日付December 23, 2014 05:18:43 UTC 2014 年 12 月 23 日 (火) 14 時 18 分 43 秒 (日本時間)
composite number 合成数
343333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<168>
prime factors 素因数
5259856413052027991016981167634469508313750271231654513611204469445878264686268577<82>
65274278682089423749526536640987606464558901616565804460512561802949521514237138379829<86>
factorization results 素因数分解の結果
Number: n
N=343333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
  ( 168 digits)
SNFS difficulty: 168 digits.
Divisors found:

Tue Dec 23 16:13:02 2014  prp82 factor: 5259856413052027991016981167634469508313750271231654513611204469445878264686268577
Tue Dec 23 16:13:02 2014  prp86 factor: 65274278682089423749526536640987606464558901616565804460512561802949521514237138379829
Tue Dec 23 16:13:02 2014  elapsed time 00:14:33 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=3.819).
Factorization parameters were as follows:
#
#  N = 103*10^166-1 343(166)
#
n: 343333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
m: 1000000000000000000000000000000000
deg: 5
c5: 1030
c0: -1
skew: 0.25
# Murphy_E = 2.608e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7800000)
Primes: RFBsize:309335, AFBsize:309283,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 3707473 hash collisions in 22356620 relations (19244308 unique)
Msieve: matrix is 588698 x 588925 (161.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0hrs 9min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 34sec.

Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.038684] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03)
[    0.000000] Memory: 16059644K/16661464K available (7373K kernel code, 1159K rwdata, 3228K rodata, 1468K init, 1504K bss, 601820K reserved)
[    1.137325] [drm] Memory usable by graphics device = 2048M
[    0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7200.13 BogoMIPS (lpj=3600065)
[    0.136532] smpboot: Total of 8 processors activated (57601.04 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:11 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 11 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:32 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 32 秒 (日本時間)
4511e62000 / 3916Serge BatalovDecember 20, 2014 04:01:53 UTC 2014 年 12 月 20 日 (土) 13 時 1 分 53 秒 (日本時間)

103×10170-13

c170

name 名前Robert Backstrom
date 日付December 23, 2014 07:50:51 UTC 2014 年 12 月 23 日 (火) 16 時 50 分 51 秒 (日本時間)
composite number 合成数
48356807511737089201877934272300469483568075117370892018779342723004694835680751173708920187793427230046948356807511737089201877934272300469483568075117370892018779342723<170>
prime factors 素因数
15520118782717944329507425928355382214985343<44>
3115749833408726953699318134834752304190200686254935054035076840176116717182629272898962354300074027984173852920540105702417661<127>
factorization results 素因数分解の結果
Number: n
N=48356807511737089201877934272300469483568075117370892018779342723004694835680751173708920187793427230046948356807511737089201877934272300469483568075117370892018779342723
  ( 170 digits)
SNFS difficulty: 172 digits.
Divisors found:

Tue Dec 23 18:47:01 2014  prp44 factor: 15520118782717944329507425928355382214985343
Tue Dec 23 18:47:01 2014  prp127 factor: 3115749833408726953699318134834752304190200686254935054035076840176116717182629272898962354300074027984173852920540105702417661
Tue Dec 23 18:47:01 2014  elapsed time 00:15:01 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=3.820).
Factorization parameters were as follows:
#
#  N = 103*10^170-1 343(170)
#
n: 48356807511737089201877934272300469483568075117370892018779342723004694835680751173708920187793427230046948356807511737089201877934272300469483568075117370892018779342723
m: 10000000000000000000000000000000000
deg: 5
c5: 103
c0: -1
skew: 0.40
# Murphy_E = 2.183e-10
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8200000)
Primes: RFBsize:361407, AFBsize:362522,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 2845823 hash collisions in 17848660 relations (15878957 unique)
Msieve: matrix is 648725 x 648952 (182.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0hrs 11min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 40sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.038684] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03)
[    0.000000] Memory: 16059644K/16661464K available (7373K kernel code, 1159K rwdata, 3228K rodata, 1468K init, 1504K bss, 601820K reserved)
[    1.137325] [drm] Memory usable by graphics device = 2048M
[    0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7200.13 BogoMIPS (lpj=3600065)
[    0.136532] smpboot: Total of 8 processors activated (57601.04 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:12 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 12 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:33 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 33 秒 (日本時間)

103×10171-13

c161

name 名前Ignacio Santos
date 日付March 7, 2015 22:46:07 UTC 2015 年 3 月 8 日 (日) 7 時 46 分 7 秒 (日本時間)
composite number 合成数
47300456820528023768707527658830277444421454536687507397434196253613795877405200478938001249657046671046211931659833239488493844325015991849183491535351014300779<161>
prime factors 素因数
314450450918765483760161294591548078385603<42>
composite cofactor 合成数の残り
150422607702819073193127875020443680114870428048279397920851113444720145736451193789992709730643916565375279203320999993<120>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3556734485
Step 1 took 12391ms
Step 2 took 7140ms
********** Factor found in step 2: 314450450918765483760161294591548078385603
Found probable prime factor of 42 digits: 314450450918765483760161294591548078385603
Composite cofactor 150422607702819073193127875020443680114870428048279397920851113444720145736451193789992709730643916565375279203320999993 has 120 digits
software ソフトウェア
GMP-ECM 7.0

c120

name 名前Daniel Jackson
date 日付March 11, 2015 21:08:25 UTC 2015 年 3 月 12 日 (木) 6 時 8 分 25 秒 (日本時間)
composite number 合成数
150422607702819073193127875020443680114870428048279397920851113444720145736451193789992709730643916565375279203320999993<120>
prime factors 素因数
30694109112835170275742841067164863275959307<44>
4900699582120067449240773790939478957599009038774215749444762825114740269899<76>
factorization results 素因数分解の結果
03/09/15 11:25:38 v1.33 @ CODY-PC, nfs: commencing gnfs on c120: 150422607702819073193127875020443680114870428048279397920851113444720145736451193789992709730643916565375279203320999993
03/09/15 11:25:38 v1.33 @ CODY-PC, nfs: commencing poly selection with 4 threads
03/09/15 11:25:38 v1.33 @ CODY-PC, nfs: setting deadline of 3262 seconds
03/09/15 12:20:06 v1.33 @ CODY-PC, nfs: completed 169 ranges of size 250 in 3268.1805 seconds
03/09/15 12:20:06 v1.33 @ CODY-PC, nfs: best poly = # norm 2.110642e-011 alpha -6.168983 e 3.305e-010 rroots 5
03/09/15 12:20:06 v1.33 @ CODY-PC, nfs: commencing lattice sieving with 4 threads
03/09/15 13:45:01 v1.33 @ CODY-PC, nfs: commencing lattice sieving with 4 threads
03/09/15 15:22:12 v1.33 @ CODY-PC, nfs: commencing lattice sieving with 4 threads
03/09/15 16:55:27 v1.33 @ CODY-PC, nfs: commencing lattice sieving with 4 threads
03/09/15 18:33:09 v1.33 @ CODY-PC, nfs: commencing lattice sieving with 4 threads
03/10/15 11:47:46 v1.33 @ CODY-PC, nfs: refusing to resume without -R option
03/10/15 11:47:51 v1.33 @ CODY-PC, nfs: commencing NFS restart
03/10/15 11:47:51 v1.33 @ CODY-PC, nfs: previous data file found - commencing search for last special-q
03/10/15 11:48:20 v1.33 @ CODY-PC, nfs: parsing special-q from .dat file
03/10/15 11:48:20 v1.33 @ CODY-PC, nfs: commencing gnfs on c120: 150422607702819073193127875020443680114870428048279397920851113444720145736451193789992709730643916565375279203320999993
03/10/15 11:48:20 v1.33 @ CODY-PC, nfs: found 4918087 relations, need at least 10040346, continuing job at specialq = 3295661
03/10/15 11:48:20 v1.33 @ CODY-PC, nfs: commencing lattice sieving with 4 threads
03/10/15 16:18:42 v1.33 @ CODY-PC, nfs: refusing to resume without -R option
03/10/15 16:18:49 v1.33 @ CODY-PC, nfs: commencing NFS restart
03/10/15 16:18:49 v1.33 @ CODY-PC, nfs: previous data file found - commencing search for last special-q
03/10/15 16:21:10 v1.33 @ CODY-PC, nfs: parsing special-q from .dat file
03/10/15 16:21:10 v1.33 @ CODY-PC, nfs: commencing gnfs on c120: 150422607702819073193127875020443680114870428048279397920851113444720145736451193789992709730643916565375279203320999993
03/10/15 16:21:10 v1.33 @ CODY-PC, nfs: found 5651104 relations, need at least 10040346, continuing job at specialq = 3444349
03/10/15 16:21:10 v1.33 @ CODY-PC, nfs: commencing lattice sieving with 4 threads
03/10/15 17:57:01 v1.33 @ CODY-PC, nfs: commencing lattice sieving with 4 threads
03/10/15 19:35:46 v1.33 @ CODY-PC, nfs: commencing lattice sieving with 4 threads
03/11/15 10:52:48 v1.33 @ CODY-PC, nfs: commencing NFS restart
03/11/15 10:52:48 v1.33 @ CODY-PC, nfs: previous data file found - commencing search for last special-q
03/11/15 10:53:34 v1.33 @ CODY-PC, nfs: parsing special-q from .dat file
03/11/15 10:53:34 v1.33 @ CODY-PC, nfs: commencing gnfs on c120: 150422607702819073193127875020443680114870428048279397920851113444720145736451193789992709730643916565375279203320999993
03/11/15 10:53:34 v1.33 @ CODY-PC, nfs: found 7879066 relations, need at least 10040346, continuing job at specialq = 3893207
03/11/15 10:53:34 v1.33 @ CODY-PC, nfs: commencing lattice sieving with 4 threads
03/11/15 12:26:37 v1.33 @ CODY-PC, nfs: commencing lattice sieving with 4 threads
03/11/15 14:45:03 v1.33 @ CODY-PC, nfs: commencing lattice sieving with 4 threads
03/11/15 16:06:44 v1.33 @ CODY-PC, nfs: commencing NFS restart
03/11/15 16:06:44 v1.33 @ CODY-PC, nfs: previous data file found - commencing search for last special-q
03/11/15 16:07:40 v1.33 @ CODY-PC, nfs: parsing special-q from .dat file
03/11/15 16:07:40 v1.33 @ CODY-PC, nfs: commencing gnfs on c120: 150422607702819073193127875020443680114870428048279397920851113444720145736451193789992709730643916565375279203320999993
03/11/15 16:07:40 v1.33 @ CODY-PC, nfs: found 10671946 relations, need at least 10040346, continuing job at specialq = 4359539
03/11/15 16:07:40 v1.33 @ CODY-PC, nfs: commencing msieve filtering
03/11/15 16:11:27 v1.33 @ CODY-PC, nfs: commencing msieve linear algebra
03/11/15 16:48:09 v1.33 @ CODY-PC, nfs: commencing msieve sqrt
03/11/15 16:58:26 v1.33 @ CODY-PC, prp44 = 30694109112835170275742841067164863275959307
03/11/15 16:58:26 v1.33 @ CODY-PC, prp76 = 4900699582120067449240773790939478957599009038774215749444762825114740269899
03/11/15 16:58:26 v1.33 @ CODY-PC, NFS elapsed time = 3101.6274 seconds.
03/11/15 16:58:26 v1.33 @ CODY-PC, 
03/11/15 16:58:26 v1.33 @ CODY-PC,
software ソフトウェア
Yafu 1.33
execution environment 実行環境
Windows 7 64-bit, 6 GB RAM, Intel Core i3-3110M

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:22:42 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 42 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:15 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 15 秒 (日本時間)

103×10174-13

c140

name 名前Jo Yeong Uk
date 日付May 16, 2015 03:17:16 UTC 2015 年 5 月 16 日 (土) 12 時 17 分 16 秒 (日本時間)
composite number 合成数
40362079999234854924016663188914861698899175614336894488550098474836398631432882332143645250868614489367973904258738046687977663680519853353<140>
prime factors 素因数
5374608321174887361094945440940052559489708319853186912207714387<64>
7509771426545873279609695953907466403091591780969151699069947524937489440019<76>
factorization results 素因数分解の結果
Number: 34333_174
N=40362079999234854924016663188914861698899175614336894488550098474836398631432882332143645250868614489367973904258738046687977663680519853353
  ( 140 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=5374608321174887361094945440940052559489708319853186912207714387
 r2=7509771426545873279609695953907466403091591780969151699069947524937489440019
Version: 
Total time: 34.95 hours.
Scaled time: 183.74 units (timescale=5.257).
Factorization parameters were as follows:
n: 40362079999234854924016663188914861698899175614336894488550098474836398631432882332143645250868614489367973904258738046687977663680519853353
m: 100000000000000000000000000000000000
deg: 5
c5: 103
c0: -10
skew: 0.63
# Murphy_E = 1.24e-10
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3800000, 7700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18278300
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1349668 x 1349915
Total sieving time: 30.81 hours.
Total relation processing time: 1.77 hours.
Matrix solve time: 2.12 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000
total time: 34.95 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.77 BogoMIPS (lpj=3399888)
Total of 12 processors activated (81597.31 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:43 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 43 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:15 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 15 秒 (日本時間)
4511e6600 / 4342KTakahashiApril 28, 2015 13:17:16 UTC 2015 年 4 月 28 日 (火) 22 時 17 分 16 秒 (日本時間)

103×10175-13

c155

name 名前Jo Yeong Uk
date 日付May 18, 2015 21:59:22 UTC 2015 年 5 月 19 日 (火) 6 時 59 分 22 秒 (日本時間)
composite number 合成数
14793842489925272221013951267018148351314180079169683876710417150315751142192863165907581183392612929698144477608656669854557383087432234863121930326582829<155>
prime factors 素因数
14049798018873967755666266941793233954229<41>
7422466173180459971232502713469069084131992644676252731<55>
141860890787469713928043441810473868340298728616715551424571<60>
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 14793842489925272221013951267018148351314180079169683876710417150315751142192863165907581183392612929698144477608656669854557383087432234863121930326582829 (155 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=911742413
Step 1 took 30257ms
********** Factor found in step 1: 14049798018873967755666266941793233954229
Found probable prime factor of 41 digits: 14049798018873967755666266941793233954229
Composite cofactor 1052957663167241496163413396694795153461612306193355759304805321979320426907668581965621614874292836756761079253401 has 115 digits

Number: 34333_175
N=1052957663167241496163413396694795153461612306193355759304805321979320426907668581965621614874292836756761079253401
  ( 115 digits)
Divisors found:
 r1=7422466173180459971232502713469069084131992644676252731
 r2=141860890787469713928043441810473868340298728616715551424571
Version: 
Total time: 9.43 hours.
Scaled time: 49.45 units (timescale=5.245).
Factorization parameters were as follows:
name: 34333_175
n: 1052957663167241496163413396694795153461612306193355759304805321979320426907668581965621614874292836756761079253401
skew: 22455.66
# norm 6.14e+15
c5: 61200
c4: 393485500
c3: -33487236242286
c2: -3701968343443839719
c1: -66742871793199837739848
c0: -225592874426752680728606815
# alpha -5.94
Y1: 2086819156597
Y0: -7032856106997938878706
# Murphy_E 6.14e-10
# M 974672626205943565587320310560699940175691569817290503868809301080295253741741121669261904112342444787023051346432
type: gnfs
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.6
alambda: 2.6
qintsize: 70000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1400000, 2380001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9823531
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 460667 x 460915
Polynomial selection time: 1.43 hours.
Total sieving time: 7.36 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2800000,2800000,27,27,53,53,2.6,2.6,70000
total time: 9.43 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.77 BogoMIPS (lpj=3399888)
Total of 12 processors activated (81597.31 BogoMIPS).
software ソフトウェア
GMP-ECM v6.4.4 / GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:43 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 43 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:15 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 15 秒 (日本時間)
4511e6498 / 4342CypFebruary 6, 2015 06:15:24 UTC 2015 年 2 月 6 日 (金) 15 時 15 分 24 秒 (日本時間)

103×10176-13

c152

name 名前Jo Yeong Uk
date 日付June 20, 2015 06:57:37 UTC 2015 年 6 月 20 日 (土) 15 時 57 分 37 秒 (日本時間)
composite number 合成数
76002230980024790592293393020753314302414314001038416938042774577869992146513811645090716484950518733115926909958027867693686493507747700054558918511349<152>
prime factors 素因数
236326656006234589067643059474466489973691<42>
321598216064207999753722116203697349376769217961926183431219043314178635190891412845632153670076790857768071439<111>
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 76002230980024790592293393020753314302414314001038416938042774577869992146513811645090716484950518733115926909958027867693686493507747700054558918511349 (152 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2250087912
Step 1 took 24822ms
********** Factor found in step 1: 236326656006234589067643059474466489973691
Found probable prime factor of 42 digits: 236326656006234589067643059474466489973691
Probable prime cofactor 321598216064207999753722116203697349376769217961926183431219043314178635190891412845632153670076790857768071439 has 111 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:44 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 44 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:16 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 16 秒 (日本時間)
4511e6600 / 4342KTakahashiMay 1, 2015 21:24:54 UTC 2015 年 5 月 2 日 (土) 6 時 24 分 54 秒 (日本時間)

103×10177-13

c125

name 名前Erik Branger
date 日付February 1, 2015 10:23:31 UTC 2015 年 2 月 1 日 (日) 19 時 23 分 31 秒 (日本時間)
composite number 合成数
29683864663171103317640128223309900714623519202376114255973468818589848456357648927261882955067401089225031251097677769363099<125>
prime factors 素因数
12266133588980136735337829114892194666400991109554921145509<59>
2419985437777965498796371491619568395772302832125854905625363112511<67>
factorization results 素因数分解の結果
Number: 34333_177
N = 29683864663171103317640128223309900714623519202376114255973468818589848456357648927261882955067401089225031251097677769363099 (125 digits)
Divisors found:
r1=12266133588980136735337829114892194666400991109554921145509 (pp59)
r2=2419985437777965498796371491619568395772302832125854905625363112511 (pp67)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 28.80 hours.
Factorization parameters were as follows:
# Murphy_E = 1.474e-10, selected by Erik Branger
# expecting poly E from 1.80e-010 to > 2.07e-010
n: 29683864663171103317640128223309900714623519202376114255973468818589848456357648927261882955067401089225031251097677769363099
Y0: -1190132274660421958320756
Y1: 15412185298541
c0: -6259445069916139693313143062465
c1: 65969635772539460710997994
c2: -74664212908686131299
c3: -1677760616896534
c4: 7244803376
c5: 12432
skew: 274175.71
type: gnfs
# selected mechanically
rlim: 6900000
alim: 6900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6900000/6900000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10771067
Relations: 1558836 relations
Pruned matrix : 934556 x 934782
Polynomial selection time: 0.00 hours.
Total sieving time: 28.15 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.52 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: gnfs,124,5,65,2000,1e-05,0.28,250,20,50000,3600,6900000,6900000,27,27,52,52,2.5,2.5,100000
total time: 28.80 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:49 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 49 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:11 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 11 秒 (日本時間)

103×10179-13

c153

name 名前Jo Yeong Uk
date 日付December 26, 2015 01:49:37 UTC 2015 年 12 月 26 日 (土) 10 時 49 分 37 秒 (日本時間)
composite number 合成数
149536534350849552763387904222872439266898319918936311053014987137932663266960194933784126769871333644418910510477803750479719152960520049792122768517171<153>
prime factors 素因数
1718695500970720758233991201635072130563548889612546243453683116306155371<73>
87005833358143536324608126147019908903763374010746062381332371102077434182515801<80>
factorization results 素因数分解の結果
Number: 34333_179
N=149536534350849552763387904222872439266898319918936311053014987137932663266960194933784126769871333644418910510477803750479719152960520049792122768517171
  ( 153 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=1718695500970720758233991201635072130563548889612546243453683116306155371
 r2=87005833358143536324608126147019908903763374010746062381332371102077434182515801
Version: 
Total time: 54.61 hours.
Scaled time: 286.85 units (timescale=5.253).
Factorization parameters were as follows:
n: 149536534350849552763387904222872439266898319918936311053014987137932663266960194933784126769871333644418910510477803750479719152960520049792122768517171
m: 1000000000000000000000000000000000000
deg: 5
c5: 103
c0: -10
skew: 0.63
# Murphy_E = 7.798e-11
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [2900000, 5500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18262919
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1275956 x 1276204
Total sieving time: 51.50 hours.
Total relation processing time: 1.26 hours.
Matrix solve time: 1.76 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,53,53,2.5,2.5,100000
total time: 54.61 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:44 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 44 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:16 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 16 秒 (日本時間)
4511e6600 / 4342KTakahashiMay 17, 2015 10:47:48 UTC 2015 年 5 月 17 日 (日) 19 時 47 分 48 秒 (日本時間)

103×10180-13

c174

name 名前Jo Yeong Uk
date 日付January 7, 2016 16:44:04 UTC 2016 年 1 月 8 日 (金) 1 時 44 分 4 秒 (日本時間)
composite number 合成数
341304954575243117732219575076458191536450293872347036173881593285620955140722468297019463690426491788370131756602526949646315782176699387108752148228887572202856037871701433<174>
prime factors 素因数
9915622893821191345399712956605477988876691<43>
34420929298140558933413557367324201622324728401081949512181261144043467577733888335186074403465853679551045241558612979248837128963<131>
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 341304954575243117732219575076458191536450293872347036173881593285620955140722468297019463690426491788370131756602526949646315782176699387108752148228887572202856037871701433 (174 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1748638762
Step 1 took 36335ms
Step 2 took 11252ms
********** Factor found in step 2: 9915622893821191345399712956605477988876691
Found probable prime factor of 43 digits: 9915622893821191345399712956605477988876691
Probable prime cofactor 34420929298140558933413557367324201622324728401081949512181261144043467577733888335186074403465853679551045241558612979248837128963 has 131 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:44 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 44 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:17 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 17 秒 (日本時間)
4511e6578 / 434269CypMay 13, 2015 18:47:05 UTC 2015 年 5 月 14 日 (木) 3 時 47 分 5 秒 (日本時間)
309KTakahashiMay 20, 2015 16:14:55 UTC 2015 年 5 月 21 日 (木) 1 時 14 分 55 秒 (日本時間)
200KTakahashiMay 20, 2015 21:16:00 UTC 2015 年 5 月 21 日 (木) 6 時 16 分 0 秒 (日本時間)

103×10182-13

c173

name 名前Jo Yeong Uk
date 日付March 23, 2016 14:56:15 UTC 2016 年 3 月 23 日 (水) 23 時 56 分 15 秒 (日本時間)
composite number 合成数
66316244851736177081965560984468473867110563910982436182604741869873701384950715455218468187273886795973322133337521151400263406485316538886434549240421393569882352813606891<173>
prime factors 素因数
20485070267574591534709647679544010910428658079<47>
1486257574363347544831845437515606489670515606859986261<55>
2178153024175675060973435597417636257905857953195350878832620515689000289<73>
factorization results 素因数分解の結果
Number: 34333_182
N=66316244851736177081965560984468473867110563910982436182604741869873701384950715455218468187273886795973322133337521151400263406485316538886434549240421393569882352813606891
  ( 173 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=20485070267574591534709647679544010910428658079
 r2=1486257574363347544831845437515606489670515606859986261
 r3=2178153024175675060973435597417636257905857953195350878832620515689000289
Version: 
Total time: 61.53 hours.
Scaled time: 320.09 units (timescale=5.202).
Factorization parameters were as follows:
n: 66316244851736177081965560984468473867110563910982436182604741869873701384950715455218468187273886795973322133337521151400263406485316538886434549240421393569882352813606891
m: 1000000000000000000000000000000000000
deg: 5
c5: 10300
c0: -1
skew: 0.16
# Murphy_E = 6.409e-11
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3300000, 6100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19738636
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1522952 x 1523200
Total sieving time: 57.03 hours.
Total relation processing time: 1.45 hours.
Matrix solve time: 2.77 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,54,54,2.5,2.5,100000
total time: 61.53 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49365468k/51380224k available (5397k kernel code, 1086460k absent, 928296k reserved, 7011k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.82 BogoMIPS (lpj=3399914)
Total of 12 processors activated (81597.93 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:45 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 45 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:17 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 17 秒 (日本時間)
4511e6498 / 4342KTakahashiMay 26, 2015 22:30:37 UTC 2015 年 5 月 27 日 (水) 7 時 30 分 37 秒 (日本時間)

103×10183-13

c164

name 名前KTakahashi
date 日付May 30, 2015 08:12:51 UTC 2015 年 5 月 30 日 (土) 17 時 12 分 51 秒 (日本時間)
composite number 合成数
20372463203890261590080716421040742989534227508993350852912972341298967722067714165829270145866876304194688341630020443563330509867130382064292149334243933048375933<164>
prime factors 素因数
812209922809244241315373883534925425969<39>
25082755863689370013717545546102783343965374182205257482388904210205364226540382650913150366270115412784054442929759848345357<125>
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 20372463203890261590080716421040742989534227508993350852912972341298967722067714165829270145866876304194688341630020443563330509867130382064292149334243933048375933 (164 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1091156512
Step 1 took 50654ms
Step 2 took 20436ms
********** Factor found in step 2: 812209922809244241315373883534925425969
Found probable prime factor of 39 digits: 812209922809244241315373883534925425969
Probable prime cofactor 25082755863689370013717545546102783343965374182205257482388904210205364226540382650913150366270115412784054442929759848345357 has 125 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:22:45 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 45 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:19 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 19 秒 (日本時間)

103×10184-13

c152

name 名前Jo Yeong Uk
date 日付June 30, 2016 06:26:17 UTC 2016 年 6 月 30 日 (木) 15 時 26 分 17 秒 (日本時間)
composite number 合成数
45770391030299743776590273683199572948253850530545998700373408671600703805442526464443317401514034791750048298173725103210990448481639154744564239575179<152>
prime factors 素因数
2398817997109965105270192468442320172103015086170265183432181<61>
19080393379340469534602385065424042665337702104363940283084260936304664187736579269045906559<92>
factorization results 素因数分解の結果
Number: 34333_184
N=45770391030299743776590273683199572948253850530545998700373408671600703805442526464443317401514034791750048298173725103210990448481639154744564239575179
  ( 152 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=2398817997109965105270192468442320172103015086170265183432181
 r2=19080393379340469534602385065424042665337702104363940283084260936304664187736579269045906559
Version: 
Total time: 81.10 hours.
Scaled time: 409.86 units (timescale=5.054).
Factorization parameters were as follows:
n: 45770391030299743776590273683199572948253850530545998700373408671600703805442526464443317401514034791750048298173725103210990448481639154744564239575179
m: 10000000000000000000000000000000000000
deg: 5
c5: 103
c0: -10
skew: 0.63
# Murphy_E = 4.882e-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, 7400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20643715
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1623792 x 1624040
Total sieving time: 75.54 hours.
Total relation processing time: 2.09 hours.
Matrix solve time: 3.35 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,54,54,2.5,2.5,100000
total time: 81.10 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:46 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 46 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:19 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 19 秒 (日本時間)
4511e6498 / 4342CypMay 20, 2015 18:45:14 UTC 2015 年 5 月 21 日 (木) 3 時 45 分 14 秒 (日本時間)

103×10185-13

c142

name 名前Jo Yeong Uk
date 日付August 24, 2016 08:33:06 UTC 2016 年 8 月 24 日 (水) 17 時 33 分 6 秒 (日本時間)
composite number 合成数
2655903850084640458545953111507609755712318427999943727225819526958868104917362644404857495464110790465675443783181136620611191381263833941833<142>
prime factors 素因数
225634088871325616387606197135693204961<39>
11770844837187906755384975986893087997791554805925640432907568603910261579929913519473711194168242574953<104>
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 2655903850084640458545953111507609755712318427999943727225819526958868104917362644404857495464110790465675443783181136620611191381263833941833 (142 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2957431867
Step 1 took 25089ms
Step 2 took 8584ms
********** Factor found in step 2: 225634088871325616387606197135693204961
Found probable prime factor of 39 digits: 225634088871325616387606197135693204961
Probable prime cofactor 11770844837187906755384975986893087997791554805925640432907568603910261579929913519473711194168242574953 has 104 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:46 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 46 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:19 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 19 秒 (日本時間)
4511e6600 / 4342KTakahashiJune 18, 2015 09:07:38 UTC 2015 年 6 月 18 日 (木) 18 時 7 分 38 秒 (日本時間)

103×10186-13

c151

name 名前Jo Yeong Uk
date 日付November 22, 2016 02:41:23 UTC 2016 年 11 月 22 日 (火) 11 時 41 分 23 秒 (日本時間)
composite number 合成数
2627490480504747395790195966490159234575267884792099333464788209741119089461533427338462345340065055117575726703826467272042400138865209513779327938139<151>
prime factors 素因数
343776652934456151074471740901847106811256273247750820050861823<63>
7643016063123111754674401812234478240432164127652010112008918490764476014594239895088293<88>
factorization results 素因数分解の結果
Number: 34333_186
N=2627490480504747395790195966490159234575267884792099333464788209741119089461533427338462345340065055117575726703826467272042400138865209513779327938139
  ( 151 digits)
SNFS difficulty: 188 digits.
Divisors found:
 r1=343776652934456151074471740901847106811256273247750820050861823
 r2=7643016063123111754674401812234478240432164127652010112008918490764476014594239895088293
Version: 
Total time: 103.51 hours.
Scaled time: 542.93 units (timescale=5.245).
Factorization parameters were as follows:
n: 2627490480504747395790195966490159234575267884792099333464788209741119089461533427338462345340065055117575726703826467272042400138865209513779327938139
m: 10000000000000000000000000000000000000
deg: 5
c5: 1030
c0: -1
skew: 0.25
# Murphy_E = 4.091e-11
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4000000, 8700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 21173768
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1802116 x 1802364
Total sieving time: 95.72 hours.
Total relation processing time: 2.59 hours.
Matrix solve time: 4.78 hours.
Time per square root: 0.43 hours.
Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,54,54,2.5,2.5,100000
total time: 103.51 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367844k/51380224k available (5460k kernel code, 1086464k absent, 925916k reserved, 6959k data, 1316k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:47 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 47 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:20 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 20 秒 (日本時間)
4511e6498 / 4342CypMay 23, 2015 16:59:00 UTC 2015 年 5 月 24 日 (日) 1 時 59 分 0 秒 (日本時間)

103×10187-13

c155

name 名前Jo Yeong Uk
date 日付November 25, 2016 13:44:23 UTC 2016 年 11 月 25 日 (金) 22 時 44 分 23 秒 (日本時間)
composite number 合成数
12128969448634868917586514991862699314137509058647965649931385185585585396675092013132965801794307882002317456322269070559782596272755355237852328557005699<155>
prime factors 素因数
159395833549300111507579746410292672273483429405967076699584387237684251613<75>
76093390765345546299145520750301088038033993149923765564364231683675429478592223<80>
factorization results 素因数分解の結果
Number: 34333_187
N=12128969448634868917586514991862699314137509058647965649931385185585585396675092013132965801794307882002317456322269070559782596272755355237852328557005699
  ( 155 digits)
SNFS difficulty: 189 digits.
Divisors found:
 r1=159395833549300111507579746410292672273483429405967076699584387237684251613
 r2=76093390765345546299145520750301088038033993149923765564364231683675429478592223
Version: 
Total time: 90.13 hours.
Scaled time: 464.73 units (timescale=5.156).
Factorization parameters were as follows:
n: 12128969448634868917586514991862699314137509058647965649931385185585585396675092013132965801794307882002317456322269070559782596272755355237852328557005699
m: 10000000000000000000000000000000000000
deg: 5
c5: 10300
c0: -1
skew: 0.16
# Murphy_E = 4.005e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 8200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20822027
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1702010 x 1702258
Total sieving time: 83.74 hours.
Total relation processing time: 2.46 hours.
Matrix solve time: 3.79 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 90.13 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:47 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 47 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:20 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 20 秒 (日本時間)
4511e6498 / 4342CypJuly 26, 2015 07:09:36 UTC 2015 年 7 月 26 日 (日) 16 時 9 分 36 秒 (日本時間)

103×10188-13

c146

name 名前Jo Yeong Uk
date 日付December 24, 2016 08:27:38 UTC 2016 年 12 月 24 日 (土) 17 時 27 分 38 秒 (日本時間)
composite number 合成数
76390324290075672626609842791090793357585712975326360014498385935031859611007416799371764342057629552804662709366438173021458085729030398009230657<146>
prime factors 素因数
1198458344217737044349787189905041850475409251549119<52>
63740491823216015200625954797340376682821828363613907866318197207819272997540931198385125800703<95>
factorization results 素因数分解の結果
Number: 34333_188
N=76390324290075672626609842791090793357585712975326360014498385935031859611007416799371764342057629552804662709366438173021458085729030398009230657
  ( 146 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=1198458344217737044349787189905041850475409251549119
 r2=63740491823216015200625954797340376682821828363613907866318197207819272997540931198385125800703
Version: 
Total time: 126.38 hours.
Scaled time: 659.73 units (timescale=5.220).
Factorization parameters were as follows:
n: 76390324290075672626609842791090793357585712975326360014498385935031859611007416799371764342057629552804662709366438173021458085729030398009230657
m: 20000000000000000000000000000000000000
deg: 5
c5: 12875
c0: -4
skew: 0.20
# Murphy_E = 3.04e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 10100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 21381779
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1996292 x 1996540
Total sieving time: 116.71 hours.
Total relation processing time: 3.20 hours.
Matrix solve time: 5.92 hours.
Time per square root: 0.55 hours.
Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 126.38 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:47 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 47 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:21 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 21 秒 (日本時間)
4511e6498 / 4342CypMay 17, 2015 07:23:47 UTC 2015 年 5 月 17 日 (日) 16 時 23 分 47 秒 (日本時間)

103×10189-13

c174

name 名前Jo Yeong Uk
date 日付January 27, 2017 02:32:43 UTC 2017 年 1 月 27 日 (金) 11 時 32 分 43 秒 (日本時間)
composite number 合成数
216339476286275196154108279761100295970565255077757713183180783629021042388736786912866254981300951616491644017760162018125839362802627048579388733944024981266026851775417661<174>
prime factors 素因数
1360769704477557604517624728683051410791680985296900990779<58>
158983166346530871968201861500761026931749100129859015965114300590392242059972560179885995894147892015980413921232359<117>
factorization results 素因数分解の結果
Number: 34333_189
N=216339476286275196154108279761100295970565255077757713183180783629021042388736786912866254981300951616491644017760162018125839362802627048579388733944024981266026851775417661
  ( 174 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=1360769704477557604517624728683051410791680985296900990779
 r2=158983166346530871968201861500761026931749100129859015965114300590392242059972560179885995894147892015980413921232359
Version: 
Total time: 119.30 hours.
Scaled time: 626.91 units (timescale=5.255).
Factorization parameters were as follows:
n: 216339476286275196154108279761100295970565255077757713183180783629021042388736786912866254981300951616491644017760162018125839362802627048579388733944024981266026851775417661
m: 100000000000000000000000000000000000000
deg: 5
c5: 103
c0: -10
skew: 0.63
# Murphy_E = 3.044e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 9800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 21420006
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1904168 x 1904415
Total sieving time: 111.06 hours.
Total relation processing time: 2.98 hours.
Matrix solve time: 5.11 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 119.30 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:48 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 48 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:21 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 21 秒 (日本時間)
4511e6498 / 4342CypJuly 26, 2015 07:09:35 UTC 2015 年 7 月 26 日 (日) 16 時 9 分 35 秒 (日本時間)

103×10191-13

c193

name 名前Serge Batalov
date 日付December 20, 2014 02:04:15 UTC 2014 年 12 月 20 日 (土) 11 時 4 分 15 秒 (日本時間)
composite number 合成数
3433333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<193>
prime factors 素因数
172263011602428506097644367446935830197<39>
19930763437813549480484617934770039450458120243814781456559032365060947071948976160806895464461326259733431640682661441232926658885037610685317613246611489<155>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1870111650
Step 1 took 14175ms
Step 2 took 9219ms
********** Factor found in step 2: 172263011602428506097644367446935830197
Found probable prime factor of 39 digits: 172263011602428506097644367446935830197
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:23 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 23 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:44 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 44 秒 (日本時間)

103×10193-13

c149

name 名前Jo Yeong Uk
date 日付April 16, 2017 01:45:52 UTC 2017 年 4 月 16 日 (日) 10 時 45 分 52 秒 (日本時間)
composite number 合成数
61032083949769016104038987406842790633203694165536969633554232065405285834239472701701882686214824290227204676712767341346297945629081014808109953803<149>
prime factors 素因数
15408799865524271325919934684077792027656335687<47>
3960859020975573641362898513388703297286961196890502775739869089978374559715791693889027491739386442269<103>
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 61032083949769016104038987406842790633203694165536969633554232065405285834239472701701882686214824290227204676712767341346297945629081014808109953803 (149 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=53227115
Step 1 took 24770ms
Step 2 took 8858ms
********** Factor found in step 2: 15408799865524271325919934684077792027656335687
Found probable prime factor of 47 digits: 15408799865524271325919934684077792027656335687
Probable prime cofactor 3960859020975573641362898513388703297286961196890502775739869089978374559715791693889027491739386442269 has 103 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:48 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 48 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:21 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 21 秒 (日本時間)
4511e6498 / 4342CypMay 28, 2015 20:54:02 UTC 2015 年 5 月 29 日 (金) 5 時 54 分 2 秒 (日本時間)

103×10195-13

c189

name 名前Serge Batalov
date 日付December 21, 2014 01:58:13 UTC 2014 年 12 月 21 日 (日) 10 時 58 分 13 秒 (日本時間)
composite number 合成数
538672504579618434626174016458139479873205278536595623974145937228158332208004632625378025850935333417021075258411529361372523734917294080236545635688703962792394377265271508017703539850801<189>
prime factors 素因数
117198829504137725462517571159940663<36>
4596227682978698232739473885988667540618073078540451664970026436506895849859625177922980123723156432400309748954871296000934855041574820591357274741658327<154>
factorization results 素因数分解の結果
Input number is 538672504579618434626174016458139479873205278536595623974145937228158332208004632625378025850935333417021075258411529361372523734917294080236545635688703962792394377265271508017703539850801 (189 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2751317568
Step 1 took 13957ms
Step 2 took 9423ms
********** Factor found in step 2: 117198829504137725462517571159940663
Found probable prime factor of 36 digits: 117198829504137725462517571159940663
Probable prime cofactor 4596227682978698232739473885988667540618073078540451664970026436506895849859625177922980123723156432400309748954871296000934855041574820591357274741658327 has 154 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:22:49 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 49 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:22 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 22 秒 (日本時間)

103×10197-13

c166

name 名前Jo Yeong Uk
date 日付August 29, 2017 13:06:07 UTC 2017 年 8 月 29 日 (火) 22 時 6 分 7 秒 (日本時間)
composite number 合成数
4906669992008972037641849688088700703611073034937311432164091655478040330605438421931198731571431584346791944750211533759233359959588324741737713890330054746556667011<166>
prime factors 素因数
90788697355914325904217529808574323681287207617913<50>
54044943202275526757171457998613031543479378813066120522713613701480084910522387765767137209894926102363525944022747<116>
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 4906669992008972037641849688088700703611073034937311432164091655478040330605438421931198731571431584346791944750211533759233359959588324741737713890330054746556667011 (166 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2405820950
Step 1 took 30038ms
Step 2 took 10274ms
********** Factor found in step 2: 90788697355914325904217529808574323681287207617913
Found probable prime factor of 50 digits: 90788697355914325904217529808574323681287207617913
Probable prime cofactor 54044943202275526757171457998613031543479378813066120522713613701480084910522387765767137209894926102363525944022747 has 116 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:49 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 49 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:22 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 22 秒 (日本時間)
4511e6498 / 4342CypJuly 26, 2015 07:09:37 UTC 2015 年 7 月 26 日 (日) 16 時 9 分 37 秒 (日本時間)

103×10198-13

c186

name 名前Jo Yeong Uk
date 日付April 13, 2018 02:36:12 UTC 2018 年 4 月 13 日 (金) 11 時 36 分 12 秒 (日本時間)
composite number 合成数
213233942785791377507958810253296916204595421572984786583236137007354417864199040424386466146922231621636609105730511373086146108694540264485385979514946021907577371971708182838184304143<186>
prime factors 素因数
203363626735025258252740186962374635011089018314265435000080037<63>
1048535306973192161280956080627363987669759479901873586968265742527265208657542662813547744489161843967052720328256211167139<124>
factorization results 素因数分解の結果
Number: 34333_198
N=213233942785791377507958810253296916204595421572984786583236137007354417864199040424386466146922231621636609105730511373086146108694540264485385979514946021907577371971708182838184304143
  ( 186 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=203363626735025258252740186962374635011089018314265435000080037
 r2=1048535306973192161280956080627363987669759479901873586968265742527265208657542662813547744489161843967052720328256211167139
Version: 
Total time: 268.23 hours.
Scaled time: 1401.48 units (timescale=5.225).
Factorization parameters were as follows:
n: 213233942785791377507958810253296916204595421572984786583236137007354417864199040424386466146922231621636609105730511373086146108694540264485385979514946021907577371971708182838184304143
m: 2000000000000000000000000000000000000000
deg: 5
c5: 12875
c0: -4
skew: 0.20
# Murphy_E = 1.171e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8000000, 18100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 39076697
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3374848 x 3375095
Total sieving time: 242.37 hours.
Total relation processing time: 3.67 hours.
Matrix solve time: 21.85 hours.
Time per square root: 0.34 hours.
Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000
total time: 268.23 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367704k/51380224k available (5488k kernel code, 1086464k absent, 926056k reserved, 6940k data, 1328k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.37 BogoMIPS (lpj=3400188)
Total of 12 processors activated (81604.51 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:50 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 50 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:22 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 22 秒 (日本時間)
4511e6498 / 4342CypMay 26, 2015 06:16:51 UTC 2015 年 5 月 26 日 (火) 15 時 16 分 51 秒 (日本時間)

103×10200-13

c188

name 名前Jo Yeong Uk
date 日付October 3, 2017 07:39:02 UTC 2017 年 10 月 3 日 (火) 16 時 39 分 2 秒 (日本時間)
composite number 合成数
20277732956578793156747109497272176522115538938782726940238200755349716205919054711560434350243652449100062773505455564215988821831319720382059966974930643333634469141765755615881560746449<188>
prime factors 素因数
113408796610389083042997658025315988558043641961<48>
178802117319365005162680799106911355519341665000343467054807220674063865018832451118574785248935639752466115233923674502237294593958270400809<141>
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 20277732956578793156747109497272176522115538938782726940238200755349716205919054711560434350243652449100062773505455564215988821831319720382059966974930643333634469141765755615881560746449 (188 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3085659629
Step 1 took 35555ms
Step 2 took 11280ms
********** Factor found in step 2: 113408796610389083042997658025315988558043641961
Found probable prime factor of 48 digits: 113408796610389083042997658025315988558043641961
Probable prime cofactor 178802117319365005162680799106911355519341665000343467054807220674063865018832451118574785248935639752466115233923674502237294593958270400809 has 141 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:51 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 51 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:23 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 23 秒 (日本時間)
4511e6498 / 4342CypMay 16, 2015 14:38:02 UTC 2015 年 5 月 16 日 (土) 23 時 38 分 2 秒 (日本時間)

103×10201-13

c123

name 名前Erik Branger
date 日付January 12, 2015 15:54:40 UTC 2015 年 1 月 13 日 (火) 0 時 54 分 40 秒 (日本時間)
composite number 合成数
357626745270188293687225715540204500491110562987368506186242247447603084089220332376664394679574182096389744236541957334309<123>
prime factors 素因数
825153444919315893940314057410543520700243763328230929<54>
433406353051288900385985299160564874806363930915015595844344355531221<69>
factorization results 素因数分解の結果
Number: 34333_201
N = 357626745270188293687225715540204500491110562987368506186242247447603084089220332376664394679574182096389744236541957334309 (123 digits)
Divisors found:
r1=825153444919315893940314057410543520700243763328230929 (pp54)
r2=433406353051288900385985299160564874806363930915015595844344355531221 (pp69)
Version: Msieve v. 1.51 (SVN 845)
Total time: 33.23 hours.
Factorization parameters were as follows:
n: 357626745270188293687225715540204500491110562987368506186242247447603084089220332376664394679574182096389744236541957334309
Y0: -526021447290580502610420
Y1: 1187560840213
c0: -291754493289066633120054288287
c1: 10084287673290434503997820
c2: 17320532950564552285
c3: -1669532243829270
c4: -2126608868
c5: 8880
skew: 160742.44 
type: gnfs
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10749654
Relations: 1541394 relations
Pruned matrix : 879538 x 879764
Polynomial selection time: 0.00 hours.
Total sieving time: 32.48 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.57 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: gnfs,122,5,65,2000,1e-05,0.28,250,20,50000,3600,4900000,4900000,27,27,53,53,2.5,2.5,100000
total time: 33.23 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:48 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 48 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:10 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 10 秒 (日本時間)

103×10203-13

c153

name 名前Serge Batalov
date 日付December 21, 2014 01:58:16 UTC 2014 年 12 月 21 日 (日) 10 時 58 分 16 秒 (日本時間)
composite number 合成数
671509252296524496634820079345521036629565890958553098821731200025151729542966395170220732471178422716485028052263836691059651864571010627834366776321871<153>
prime factors 素因数
134768232608358015766605065092743929<36>
composite cofactor 合成数の残り
4982696881155648824186682123354477061570601672734187441304300450787285650165689359292799858974697614391849631447320199<118>
factorization results 素因数分解の結果
Input number is 671509252296524496634820079345521036629565890958553098821731200025151729542966395170220732471178422716485028052263836691059651864571010627834366776321871 (153 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1279642924
Step 1 took 9186ms
Step 2 took 7370ms
********** Factor found in step 2: 134768232608358015766605065092743929
Found probable prime factor of 36 digits: 134768232608358015766605065092743929
Composite cofactor 4982696881155648824186682123354477061570601672734187441304300450787285650165689359292799858974697614391849631447320199 has 118 digits

c118

name 名前Cyp
date 日付December 25, 2014 22:32:49 UTC 2014 年 12 月 26 日 (金) 7 時 32 分 49 秒 (日本時間)
composite number 合成数
4982696881155648824186682123354477061570601672734187441304300450787285650165689359292799858974697614391849631447320199<118>
prime factors 素因数
8297967110771379699469715739292101338922005157948018469<55>
600471996892797628319779614745730990317274808009802958379898171<63>
factorization results 素因数分解の結果
12/25/14 15:28:38 v1.34.3, 
12/25/14 15:28:38 v1.34.3, ****************************
12/25/14 15:28:38 v1.34.3, Starting factorization of 4982696881155648824186682123354477061570601672734187441304300450787285650165689359292799858974697614391849631447320199
12/25/14 15:28:38 v1.34.3, using pretesting plan: none
12/25/14 15:28:38 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/25/14 15:28:38 v1.34.3, ****************************
12/25/14 15:28:38 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C118
12/25/14 15:28:38 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C118
12/25/14 15:28:38 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C118
12/25/14 15:28:38 v1.34.3, final ECM pretested depth: 0.00
12/25/14 15:28:38 v1.34.3, scheduler: switching to sieve method
12/25/14 15:28:38 v1.34.3, nfs: commencing nfs on c118: 4982696881155648824186682123354477061570601672734187441304300450787285650165689359292799858974697614391849631447320199
12/25/14 15:28:38 v1.34.3, nfs: commencing poly selection with 8 threads
12/25/14 15:28:38 v1.34.3, nfs: setting deadline of 1350 seconds
12/25/14 15:52:32 v1.34.3, nfs: completed 74 ranges of size 250 in 1434.6621 seconds
12/25/14 15:52:32 v1.34.3, nfs: best poly = # norm 2.810410e-11 alpha -6.050351 e 3.499e-10 rroots 5
12/25/14 15:52:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/25/14 16:04:37 v1.34.3, nfs: commencing lattice sieving with 8 threads
[32 lines snipped]
12/25/14 22:34:50 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/25/14 22:45:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/25/14 22:55:57 v1.34.3, nfs: commencing msieve filtering
12/25/14 22:59:31 v1.34.3, nfs: commencing msieve linear algebra
12/25/14 23:29:20 v1.34.3, nfs: commencing msieve sqrt
12/25/14 23:32:48 v1.34.3, prp55 = 8297967110771379699469715739292101338922005157948018469
12/25/14 23:32:48 v1.34.3, prp63 = 600471996892797628319779614745730990317274808009802958379898171
12/25/14 23:32:48 v1.34.3, NFS elapsed time = 29050.0986 seconds.
12/25/14 23:32:48 v1.34.3, 
12/25/14 23:32:48 v1.34.3, 
12/25/14 23:32:48 v1.34.3, Total factoring time = 29050.1477 seconds
--
Thu Dec 25 22:55:57 2014  
Thu Dec 25 22:55:57 2014  commencing relation filtering
Thu Dec 25 22:55:57 2014  estimated available RAM is 15987.3 MB
Thu Dec 25 22:55:57 2014  commencing duplicate removal, pass 1
Thu Dec 25 22:56:55 2014  found 1118394 hash collisions in 10260441 relations
Thu Dec 25 22:57:15 2014  added 62871 free relations
Thu Dec 25 22:57:15 2014  commencing duplicate removal, pass 2
Thu Dec 25 22:57:27 2014  found 557929 duplicates and 9765383 unique relations
Thu Dec 25 22:57:27 2014  memory use: 41.3 MB
Thu Dec 25 22:57:27 2014  reading ideals above 100000
Thu Dec 25 22:57:27 2014  commencing singleton removal, initial pass
Thu Dec 25 22:58:47 2014  memory use: 344.5 MB
Thu Dec 25 22:58:47 2014  reading all ideals from disk
Thu Dec 25 22:58:47 2014  memory use: 343.8 MB
Thu Dec 25 22:58:48 2014  keeping 10805487 ideals with weight <= 200, target excess is 50206
Thu Dec 25 22:58:49 2014  commencing in-memory singleton removal
Thu Dec 25 22:58:50 2014  begin with 9765383 relations and 10805487 unique ideals
Thu Dec 25 22:58:58 2014  reduce to 3435906 relations and 3300109 ideals in 21 passes
Thu Dec 25 22:58:58 2014  max relations containing the same ideal: 106
Thu Dec 25 22:59:00 2014  removing 427216 relations and 388437 ideals in 38779 cliques
Thu Dec 25 22:59:00 2014  commencing in-memory singleton removal
Thu Dec 25 22:59:00 2014  begin with 3008690 relations and 3300109 unique ideals
Thu Dec 25 22:59:02 2014  reduce to 2961531 relations and 2863686 ideals in 11 passes
Thu Dec 25 22:59:02 2014  max relations containing the same ideal: 94
Thu Dec 25 22:59:03 2014  removing 314221 relations and 275442 ideals in 38779 cliques
Thu Dec 25 22:59:03 2014  commencing in-memory singleton removal
Thu Dec 25 22:59:03 2014  begin with 2647310 relations and 2863686 unique ideals
Thu Dec 25 22:59:04 2014  reduce to 2617163 relations and 2557681 ideals in 8 passes
Thu Dec 25 22:59:04 2014  max relations containing the same ideal: 89
Thu Dec 25 22:59:05 2014  relations with 0 large ideals: 176
Thu Dec 25 22:59:05 2014  relations with 1 large ideals: 444
Thu Dec 25 22:59:05 2014  relations with 2 large ideals: 7262
Thu Dec 25 22:59:05 2014  relations with 3 large ideals: 58443
Thu Dec 25 22:59:05 2014  relations with 4 large ideals: 245132
Thu Dec 25 22:59:05 2014  relations with 5 large ideals: 578450
Thu Dec 25 22:59:05 2014  relations with 6 large ideals: 782829
Thu Dec 25 22:59:05 2014  relations with 7+ large ideals: 944427
Thu Dec 25 22:59:05 2014  commencing 2-way merge
Thu Dec 25 22:59:06 2014  reduce to 1451646 relation sets and 1392167 unique ideals
Thu Dec 25 22:59:06 2014  ignored 3 oversize relation sets
Thu Dec 25 22:59:06 2014  commencing full merge
Thu Dec 25 22:59:23 2014  memory use: 155.4 MB
Thu Dec 25 22:59:23 2014  found 719477 cycles, need 712367
Thu Dec 25 22:59:23 2014  weight of 712367 cycles is about 49874878 (70.01/cycle)
Thu Dec 25 22:59:23 2014  distribution of cycle lengths:
Thu Dec 25 22:59:23 2014  1 relations: 89627
Thu Dec 25 22:59:23 2014  2 relations: 84032
Thu Dec 25 22:59:23 2014  3 relations: 82556
Thu Dec 25 22:59:23 2014  4 relations: 72563
Thu Dec 25 22:59:23 2014  5 relations: 63674
Thu Dec 25 22:59:23 2014  6 relations: 53485
Thu Dec 25 22:59:23 2014  7 relations: 47079
Thu Dec 25 22:59:23 2014  8 relations: 40068
Thu Dec 25 22:59:23 2014  9 relations: 33570
Thu Dec 25 22:59:23 2014  10+ relations: 145713
Thu Dec 25 22:59:23 2014  heaviest cycle: 24 relations
Thu Dec 25 22:59:23 2014  commencing cycle optimization
Thu Dec 25 22:59:25 2014  start with 4321663 relations
Thu Dec 25 22:59:30 2014  pruned 78881 relations
Thu Dec 25 22:59:30 2014  memory use: 148.4 MB
Thu Dec 25 22:59:30 2014  distribution of cycle lengths:
Thu Dec 25 22:59:30 2014  1 relations: 89627
Thu Dec 25 22:59:30 2014  2 relations: 85670
Thu Dec 25 22:59:30 2014  3 relations: 84935
Thu Dec 25 22:59:30 2014  4 relations: 73675
Thu Dec 25 22:59:30 2014  5 relations: 64642
Thu Dec 25 22:59:30 2014  6 relations: 53789
Thu Dec 25 22:59:30 2014  7 relations: 47327
Thu Dec 25 22:59:30 2014  8 relations: 39732
Thu Dec 25 22:59:30 2014  9 relations: 33353
Thu Dec 25 22:59:30 2014  10+ relations: 139617
Thu Dec 25 22:59:30 2014  heaviest cycle: 23 relations
Thu Dec 25 22:59:31 2014  RelProcTime: 214
Thu Dec 25 22:59:31 2014  
Thu Dec 25 22:59:31 2014  commencing linear algebra
Thu Dec 25 22:59:31 2014  read 712367 cycles
Thu Dec 25 22:59:32 2014  cycles contain 2533101 unique relations
Thu Dec 25 22:59:57 2014  read 2533101 relations
Thu Dec 25 22:59:59 2014  using 20 quadratic characters above 134217354
Thu Dec 25 23:00:11 2014  building initial matrix
Thu Dec 25 23:00:35 2014  memory use: 317.8 MB
Thu Dec 25 23:00:36 2014  read 712367 cycles
Thu Dec 25 23:00:36 2014  matrix is 712188 x 712367 (214.4 MB) with weight 67385697 (94.59/col)
Thu Dec 25 23:00:36 2014  sparse part has weight 48359657 (67.89/col)
Thu Dec 25 23:00:42 2014  filtering completed in 2 passes
Thu Dec 25 23:00:42 2014  matrix is 710597 x 710777 (214.2 MB) with weight 67318845 (94.71/col)
Thu Dec 25 23:00:42 2014  sparse part has weight 48338619 (68.01/col)
Thu Dec 25 23:00:44 2014  matrix starts at (0, 0)
Thu Dec 25 23:00:44 2014  matrix is 710597 x 710777 (214.2 MB) with weight 67318845 (94.71/col)
Thu Dec 25 23:00:44 2014  sparse part has weight 48338619 (68.01/col)
Thu Dec 25 23:00:44 2014  saving the first 48 matrix rows for later
Thu Dec 25 23:00:45 2014  matrix includes 64 packed rows
Thu Dec 25 23:00:45 2014  matrix is 710549 x 710777 (207.0 MB) with weight 53662042 (75.50/col)
Thu Dec 25 23:00:45 2014  sparse part has weight 47154817 (66.34/col)
Thu Dec 25 23:00:45 2014  using block size 65536 for processor cache size 8192 kB
Thu Dec 25 23:00:47 2014  commencing Lanczos iteration (8 threads)
Thu Dec 25 23:00:47 2014  memory use: 198.2 MB
Thu Dec 25 23:00:55 2014  linear algebra at 0.4%, ETA 0h27m
Thu Dec 25 23:29:19 2014  lanczos halted after 11238 iterations (dim = 710549)
Thu Dec 25 23:29:20 2014  recovered 30 nontrivial dependencies
Thu Dec 25 23:29:20 2014  BLanczosTime: 1789
Thu Dec 25 23:29:20 2014  
Thu Dec 25 23:29:20 2014  commencing square root phase
Thu Dec 25 23:29:20 2014  reading relations for dependency 1
Thu Dec 25 23:29:20 2014  read 354856 cycles
Thu Dec 25 23:29:21 2014  cycles contain 1265348 unique relations
Thu Dec 25 23:29:38 2014  read 1265348 relations
Thu Dec 25 23:29:44 2014  multiplying 1265348 relations
Thu Dec 25 23:31:02 2014  multiply complete, coefficients have about 54.81 million bits
Thu Dec 25 23:31:02 2014  initial square root is modulo 73925141
Thu Dec 25 23:32:48 2014  sqrtTime: 208
--
n: 4982696881155648824186682123354477061570601672734187441304300450787285650165689359292799858974697614391849631447320199
skew: 128682.54
c0: 59251186422160501265840270016
c1: 2731211360446995162540360
c2: -12504690419357399786
c3: -479166642553201
c4: 1149485578
c5: 7224
Y0: -58578334856301451300849
Y1: 1372555678429
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:22:52 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 52 秒 (日本時間)

103×10204-13

c188

name 名前Bob Backstrom
date 日付August 23, 2021 21:38:39 UTC 2021 年 8 月 24 日 (火) 6 時 38 分 39 秒 (日本時間)
composite number 合成数
12075980158303374975300298094894014250573796652830790939230380221604605074483742221381739249423010013891191105943553717141283452045321614412568149269748551944743104724435636788176162737559<188>
prime factors 素因数
469055365785878979166503190088933246333391409228243<51>
25745319293108756427754128908279610822318830174910386696468733462228572718391773371802639489785431269969101300104547447825661086134832813<137>
factorization results 素因数分解の結果
Number: n
N=12075980158303374975300298094894014250573796652830790939230380221604605074483742221381739249423010013891191105943553717141283452045321614412568149269748551944743104724435636788176162737559  ( 188 digits)
SNFS difficulty: 206 digits.
Divisors found:

Tue Aug 24 07:07:07 2021  p51 factor: 469055365785878979166503190088933246333391409228243
Tue Aug 24 07:07:07 2021  p137 factor: 25745319293108756427754128908279610822318830174910386696468733462228572718391773371802639489785431269969101300104547447825661086134832813
Tue Aug 24 07:07:07 2021  elapsed time 02:23:35 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 103x10^204-1 = 343(204)
#
n: 12075980158303374975300298094894014250573796652830790939230380221604605074483742221381739249423010013891191105943553717141283452045321614412568149269748551944743104724435636788176162737559
m: 50000000000000000000000000000000000000000
deg: 5
c5: 1648
c0: -5
skew: 0.31
# Murphy_E = 7.193e-12
type: snfs
lss: 1
rlim: 19500000
alim: 19500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19500000/19500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 44150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10120097 hash collisions in 64180954 relations (56319551 unique)
Msieve: matrix is 2501959 x 2502185 (865.5 MB)

Sieving start time : 2021/08/23 13:02:00
Sieving end time  : 2021/08/24 04:42:17

Total sieving time: 15hrs 40min 17secs.

Total relation processing time: 2hrs 4min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 27sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19500000,19500000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116939] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239968K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved)
[    0.154077] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.20 BogoMIPS (lpj=12798404)
[    0.152034] smpboot: Total of 16 processors activated (102387.23 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:52 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 52 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:23 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 23 秒 (日本時間)
4511e61298 / 4342498CypJune 14, 2015 07:23:19 UTC 2015 年 6 月 14 日 (日) 16 時 23 分 19 秒 (日本時間)
800Dmitry DomanovFebruary 5, 2016 14:36:51 UTC 2016 年 2 月 5 日 (金) 23 時 36 分 51 秒 (日本時間)

103×10205-13

c204

name 名前Bob Backstrom
date 日付August 11, 2017 05:28:06 UTC 2017 年 8 月 11 日 (金) 14 時 28 分 6 秒 (日本時間)
composite number 合成数
690811535881958417169684775318578135479543930248155600268276324614352783366867873910127431254191817572099262240107310529845741113346747149564050972501676727028839704896042924211938296445338698859825620389<204>
prime factors 素因数
390935004157859747362957780113428678093093605568986218763159439303212806238601435784816605857<93>
1767075162200129765032283087849755366065055631127540647410880694378651485491547742404422718219627432977393414277<112>
factorization results 素因数分解の結果
Number: n
N=690811535881958417169684775318578135479543930248155600268276324614352783366867873910127431254191817572099262240107310529845741113346747149564050972501676727028839704896042924211938296445338698859825620389
  ( 204 digits)
SNFS difficulty: 207 digits.
Divisors found:

Fri Aug 11 15:22:16 2017  prp93 factor: 390935004157859747362957780113428678093093605568986218763159439303212806238601435784816605857
Fri Aug 11 15:22:16 2017  prp112 factor: 1767075162200129765032283087849755366065055631127540647410880694378651485491547742404422718219627432977393414277
Fri Aug 11 15:22:16 2017  elapsed time 06:55:19 (Msieve 1.44 - dependency 4)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=3.764).
Factorization parameters were as follows:
#
# 103x10^205-1 343(205)
#
n: 690811535881958417169684775318578135479543930248155600268276324614352783366867873910127431254191817572099262240107310529845741113346747149564050972501676727028839704896042924211938296445338698859825620389
m: 100000000000000000000000000000000000000000
deg: 5
c5: 103
c0: -1
skew: 0.40
# Murphy_E = 7.941e-12
type: snfs
lss: 1
rlim: 19700000
alim: 19700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19700000/19700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 21050000)
Primes: RFBsize:1252693, AFBsize:1252445,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9737899 hash collisions in 61362383 relations (53689129 unique)
Msieve: matrix is 2456013 x 2456238 (696.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 6hrs 27min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 12min 26sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,19700000,19700000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:31 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 31 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:51 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 51 秒 (日本時間)
4511e6800 / 3916Dmitry DomanovFebruary 5, 2016 14:37:09 UTC 2016 年 2 月 5 日 (金) 23 時 37 分 9 秒 (日本時間)

103×10207-13

c143

name 名前Erik Branger
date 日付October 14, 2017 16:35:17 UTC 2017 年 10 月 15 日 (日) 1 時 35 分 17 秒 (日本時間)
composite number 合成数
56951319638198677065537373593330718628253773246809707606403760557322744782935866609301540550637049822883815477869062591636038358783874972303893<143>
prime factors 素因数
58564444073611450977273516810317390022370348305451003338379687<62>
972455566497221621445776854892479696125675881284153306251496329742590641320570339<81>
factorization results 素因数分解の結果
Number: 34333_207
N = 56951319638198677065537373593330718628253773246809707606403760557322744782935866609301540550637049822883815477869062591636038358783874972303893 (143 digits)
Divisors found:
r1=58564444073611450977273516810317390022370348305451003338379687 (pp62)
r2=972455566497221621445776854892479696125675881284153306251496329742590641320570339 (pp81)
Version: Msieve v. 1.51 (SVN 845)
Total time: 466.79 hours.
Factorization parameters were as follows:
n: 56951319638198677065537373593330718628253773246809707606403760557322744782935866609301540550637049822883815477869062591636038358783874972303893
Y0: -10106998630034726275091362758
Y1: 838766599558517
c0: -38285616893727484419167522364433626625
c1: 24894663400196130596186740710365
c2: -1191133451630277435887963
c3: -491747032972746125
c4: -15016768608
c5: 540
skew: 12728030.02
type: gnfs
Factor base limits: 14300000/14300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 24349042
Relations: 4010002 relations
Pruned matrix : 2464162 x 2464387
Polynomial selection time: 0.00 hours.
Total sieving time: 459.17 hours.
Total relation processing time: 0.60 hours.
Matrix solve time: 6.01 hours.
time per square root: 1.00 hours.
Prototype def-par.txt line would be: gnfs,142,5,65,2000,1e-05,0.28,250,20,50000,3600,14300000,14300000,28,28,56,56,2.5,2.5,100000
total time: 466.79 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:57 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 57 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:17 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 17 秒 (日本時間)
4511e639202000Rich DickersonNovember 21, 2015 20:07:46 UTC 2015 年 11 月 22 日 (日) 5 時 7 分 46 秒 (日本時間)
1920Ignacio SantosJanuary 28, 2016 22:17:45 UTC 2016 年 1 月 29 日 (金) 7 時 17 分 45 秒 (日本時間)

103×10208-13

c207

name 名前Serge Batalov
date 日付December 20, 2014 01:30:03 UTC 2014 年 12 月 20 日 (土) 10 時 30 分 3 秒 (日本時間)
composite number 合成数
696416497633536173089925625422582826233941852603110209601081812035158891142663962136578769438810006761325219743069641649763353617308992562542258282623394185260311020960108181203515889114266396213657876943881<207>
prime factors 素因数
2944534508542765231476720498798782111<37>
236511576146611052967081162439361442679242930416126906321507297096334145904184548522164960006366125406347578468187756703996699310908815939687396677287264136883993215274071<171>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=633138085
Step 1 took 15974ms
Step 2 took 10508ms
********** Factor found in step 2: 2944534508542765231476720498798782111
Found probable prime factor of 37 digits: 2944534508542765231476720498798782111
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:34 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 34 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:52 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 52 秒 (日本時間)

103×10210-13

c204

name 名前Bob Backstrom
date 日付November 6, 2019 10:16:27 UTC 2019 年 11 月 6 日 (水) 19 時 16 分 27 秒 (日本時間)
composite number 合成数
784728596396110303005729181582700211635207468641464368777154609307973678313433263720288108761494016890147847514982811662904578732128634753339345878126574909342324220280143385304384527800347613435775613669<204>
prime factors 素因数
133868019160902376550142849073454352144333726139734783562113580473679643484937<78>
5861957182267016748367564137477748742840151285069581984851331007827250943928491650979065038906595682485356607125547797853783037<127>
factorization results 素因数分解の結果
Number: n
N=784728596396110303005729181582700211635207468641464368777154609307973678313433263720288108761494016890147847514982811662904578732128634753339345878126574909342324220280143385304384527800347613435775613669
  ( 204 digits)
SNFS difficulty: 212 digits.
Divisors found:

Wed Nov  6 21:12:24 2019  p78 factor: 133868019160902376550142849073454352144333726139734783562113580473679643484937
Wed Nov  6 21:12:24 2019  p127 factor: 5861957182267016748367564137477748742840151285069581984851331007827250943928491650979065038906595682485356607125547797853783037
Wed Nov  6 21:12:24 2019  elapsed time 04:31:58 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.132).
Factorization parameters were as follows:
#
# N = 103x10^210-1 = 343(210)
#
n: 784728596396110303005729181582700211635207468641464368777154609307973678313433263720288108761494016890147847514982811662904578732128634753339345878126574909342324220280143385304384527800347613435775613669
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 103
c0: -1
skew: 0.40
# Murphy_E = 4.866e-12
type: snfs
lss: 1
rlim: 24000000
alim: 24000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 24000000/24000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 52000000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8461289 hash collisions in 57331947 relations (50894219 unique)
Msieve: matrix is 3164199 x 3164424 (1107.5 MB)

Sieving start time: 2019/11/05 18:28:31
Sieving end time  : 2019/11/06 16:39:30

Total sieving time: 22hrs 10min 59secs.

Total relation processing time: 4hrs 5min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 47sec.

Prototype def-par.txt line would be:
snfs,212,5,0,0,0,0,0,0,0,0,24000000,24000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149912] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284044K/16703460K available (12300K kernel code, 2481K rwdata, 4256K rodata, 2436K init, 2388K bss, 419416K reserved, 0K cma-reserved)
[    0.184564] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.54 BogoMIPS (lpj=11977096)
[    0.182216] smpboot: Total of 16 processors activated (95816.76 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:53 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 53 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:24 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 24 秒 (日本時間)
4511e61298 / 4342498CypJuly 26, 2015 07:09:34 UTC 2015 年 7 月 26 日 (日) 16 時 9 分 34 秒 (日本時間)
800Dmitry DomanovFebruary 5, 2016 14:37:31 UTC 2016 年 2 月 5 日 (金) 23 時 37 分 31 秒 (日本時間)

103×10211-13

c183

composite cofactor 合成数の残り
624758443501706722922769177864762519190664534162476305112142294073552116800124522426482522785923180194033174848753956189929984820294690286987402888677151527388444657339189771853671287<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:53 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 53 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:24 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 24 秒 (日本時間)
4511e64346498CypJuly 25, 2015 18:31:16 UTC 2015 年 7 月 26 日 (日) 3 時 31 分 16 秒 (日本時間)
800Dmitry DomanovFebruary 5, 2016 14:37:49 UTC 2016 年 2 月 5 日 (金) 23 時 37 分 49 秒 (日本時間)
3048ebinaNovember 27, 2023 08:26:51 UTC 2023 年 11 月 27 日 (月) 17 時 26 分 51 秒 (日本時間)

103×10212-13

c165

name 名前ebina
date 日付December 2, 2023 08:15:17 UTC 2023 年 12 月 2 日 (土) 17 時 15 分 17 秒 (日本時間)
composite number 合成数
131512205691709237666076610684959435843162167730259180156625870313140221040821595967352563431891508454984545284724912967502630990704815264892506390625105704848615229<165>
prime factors 素因数
3921348983425241097510421182131818963451699<43>
153629565663354201505095323222142787235282064030568562461<57>
218301019829737355479765349349702949040173946295563708531364424411<66>
factorization results 素因数分解の結果
Number: 34333_212
N = 131512205691709237666076610684959435843162167730259180156625870313140221040821595967352563431891508454984545284724912967502630990704815264892506390625105704848615229 (165 digits)
SNFS difficulty: 215 digits.
Divisors found:
r1=3921348983425241097510421182131818963451699 (pp43)
r2=153629565663354201505095323222142787235282064030568562461 (pp57)
r3=218301019829737355479765349349702949040173946295563708531364424411 (pp66)
Version: Msieve v. 1.54 (SVN 1018)
Total time: 103.87 hours.
Factorization parameters were as follows:
n: 131512205691709237666076610684959435843162167730259180156625870313140221040821595967352563431891508454984545284724912967502630990704815264892506390625105704848615229
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 10300
c0: -1
skew: 0.16
# Murphy_E = 3.586e-12
type: snfs
lss: 1
rlim: 26000000
alim: 26000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 26000000/26000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 47078493
Relations: 6870666 relations
Pruned matrix : 4494944 x 4495169
Total sieving time: 98.73 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 4.66 hours.
time per square root: 0.30 hours.
Prototype def-par.txt line would be: snfs,215,5,0,0,0,0,0,0,0,0,26000000,26000000,29,29,57,57,2.6,2.6,100000
total time: 103.87 hours.
Intel64 Family 6 Model 158 Stepping 12, GenuineIntel
processors: 16, speed: 3.60GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:54 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 54 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:24 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 24 秒 (日本時間)
4511e61298 / 4342498CypFebruary 8, 2015 09:47:43 UTC 2015 年 2 月 8 日 (日) 18 時 47 分 43 秒 (日本時間)
800Dmitry DomanovFebruary 5, 2016 14:38:06 UTC 2016 年 2 月 5 日 (金) 23 時 38 分 6 秒 (日本時間)

103×10213-13

c200

name 名前Serge Batalov
date 日付December 21, 2014 00:44:04 UTC 2014 年 12 月 21 日 (日) 9 時 44 分 4 秒 (日本時間)
composite number 合成数
29091457866051902427989233613673967225090308529772706380571212454384901277619260457093682896514035657089062622709081996179277311600488202906513470989523196743147922704229992521022199530948017381053017<200>
prime factors 素因数
10255988026047333295010287825405179470109241<44>
2836533914837630284436092361000197993442748871741157695759685832060306293024799505532121731629896502902894479276366144371581046215882586254455694540915407137<157>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3687097611
Step 1 took 15976ms
Step 2 took 10234ms
********** Factor found in step 2: 10255988026047333295010287825405179470109241
Found probable prime factor of 44 digits: 10255988026047333295010287825405179470109241
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:22:54 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 54 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:25 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 25 秒 (日本時間)

103×10214-13

c158

name 名前Dmitry Domanov
date 日付February 6, 2016 12:21:20 UTC 2016 年 2 月 6 日 (土) 21 時 21 分 20 秒 (日本時間)
composite number 合成数
95812476666293452268501910411616143937913085372080689421711893483803869969229137596047143915555949294067573824583796100587685977489592309927243755076422904671<158>
prime factors 素因数
2393327493505684396387464794369441815909<40>
40033165927471884400815291322674996443061755796451409585248225948505329767320292162130381751258370405019083779347573619<119>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2573627890
Step 1 took 72675ms
Step 2 took 29243ms
********** Factor found in step 2: 2393327493505684396387464794369441815909
Found probable prime factor of 40 digits: 2393327493505684396387464794369441815909

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:55 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 55 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:25 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 25 秒 (日本時間)
4511e61298 / 4342498CypJuly 25, 2015 16:51:49 UTC 2015 年 7 月 26 日 (日) 1 時 51 分 49 秒 (日本時間)
800Dmitry DomanovFebruary 5, 2016 14:38:22 UTC 2016 年 2 月 5 日 (金) 23 時 38 分 22 秒 (日本時間)

103×10216-13

c175

name 名前Serge Batalov
date 日付December 21, 2014 01:58:24 UTC 2014 年 12 月 21 日 (日) 10 時 58 分 24 秒 (日本時間)
composite number 合成数
8038537547449892852548332964259562591465652993016980592641553955182818046973627435914411106443940141655590499736176809998466767175635593942897613503698195487765842692805816643<175>
prime factors 素因数
370176616938476307459653050293049<33>
composite cofactor 合成数の残り
21715411453949035225604814287741925978678710287866494276287056656561672134287341112601770519362660138705468469504281065217385659299515934319707<143>
factorization results 素因数分解の結果
Input number is 8038537547449892852548332964259562591465652993016980592641553955182818046973627435914411106443940141655590499736176809998466767175635593942897613503698195487765842692805816643 (175 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2752162724
Step 1 took 13803ms
Step 2 took 9260ms
********** Factor found in step 2: 370176616938476307459653050293049
Found probable prime factor of 33 digits: 370176616938476307459653050293049
Composite cofactor 21715411453949035225604814287741925978678710287866494276287056656561672134287341112601770519362660138705468469504281065217385659299515934319707 has 143 digits

c143

name 名前Erik Branger
date 日付August 24, 2017 06:38:08 UTC 2017 年 8 月 24 日 (木) 15 時 38 分 8 秒 (日本時間)
composite number 合成数
21715411453949035225604814287741925978678710287866494276287056656561672134287341112601770519362660138705468469504281065217385659299515934319707<143>
prime factors 素因数
155259922549335266185723430099779160197900854461136372493003<60>
139864886555310265708541572503436235090856393816039721253830665615015852430118267569<84>
factorization results 素因数分解の結果
Number: 34333_216
N = 21715411453949035225604814287741925978678710287866494276287056656561672134287341112601770519362660138705468469504281065217385659299515934319707 (143 digits)
Divisors found:
r1=155259922549335266185723430099779160197900854461136372493003 (pp60)
r2=139864886555310265708541572503436235090856393816039721253830665615015852430118267569 (pp84)
Version: Msieve v. 1.51 (SVN 845)
Total time: 546.99 hours.
Factorization parameters were as follows:
# Murphy_E = 1.50015623e-11, selected by Maksym Voznyy
# selected by CADO-NFS
n: 21715411453949035225604814287741925978678710287866494276287056656561672134287341112601770519362660138705468469504281065217385659299515934319707
Y0: -2486266981675135220439981873
Y1: 762859215676725525817
c0: 10468951649845415781747468339360
c1: 331688562221618163255864506
c2: -16389069176906984028375
c3: -98627743014472271
c4: 938678417670
c5: 6579000
skew: 94187.15457
type: gnfs
# selected mechanically
rlim: 25000000
alim: 25000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 25000000/25000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23762969
Relations: 4599920 relations
Pruned matrix : 2884044 x 2884271
Polynomial selection time: 0.00 hours.
Total sieving time: 537.45 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 8.79 hours.
time per square root: 0.55 hours.
Prototype def-par.txt line would be: gnfs,142,5,65,2000,1e-05,0.28,250,20,50000,3600,25000000,25000000,28,28,56,56,2.6,2.6,100000
total time: 546.99 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovDecember 20, 2014 21:22:55 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 55 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 23:39:16 UTC 2015 年 1 月 11 日 (日) 8 時 39 分 16 秒 (日本時間)
4511e639441200Rich DickersonOctober 8, 2015 14:08:00 UTC 2015 年 10 月 8 日 (木) 23 時 8 分 0 秒 (日本時間)
2744Ignacio SantosMarch 8, 2016 23:29:01 UTC 2016 年 3 月 9 日 (水) 8 時 29 分 1 秒 (日本時間)

103×10217-13

c165

name 名前Serge Batalov
date 日付December 21, 2014 01:58:27 UTC 2014 年 12 月 21 日 (日) 10 時 58 分 27 秒 (日本時間)
composite number 合成数
888481950206631753732024750352292447616749072565180224070814993373701678958434468503660084684956287512576916679996113380403137431880929006759504851885665678914104159<165>
prime factors 素因数
82112377920687900532969176215362637<35>
composite cofactor 合成数の残り
10820316896251790487328731364689879983472112948860977946442190050473061262000552837976674394874421446403852824458618955622297046107<131>
factorization results 素因数分解の結果
Input number is 888481950206631753732024750352292447616749072565180224070814993373701678958434468503660084684956287512576916679996113380403137431880929006759504851885665678914104159 (165 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3656729313
Step 1 took 10999ms
Step 2 took 8311ms
********** Factor found in step 2: 82112377920687900532969176215362637
Found probable prime factor of 35 digits: 82112377920687900532969176215362637
Composite cofactor 10820316896251790487328731364689879983472112948860977946442190050473061262000552837976674394874421446403852824458618955622297046107 has 131 digits

c131

name 名前Ignacio Santos
date 日付February 3, 2015 22:06:35 UTC 2015 年 2 月 4 日 (水) 7 時 6 分 35 秒 (日本時間)
composite number 合成数
10820316896251790487328731364689879983472112948860977946442190050473061262000552837976674394874421446403852824458618955622297046107<131>
prime factors 素因数
8059336950903279143823805532151349651<37>
1342581525275359605936856333192072378952050107642700521254018875770008984204912312785320716057<94>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:876024901
Step 1 took 7484ms
Step 2 took 5828ms
********** Factor found in step 2: 8059336950903279143823805532151349651
Found probable prime factor of 37 digits: 8059336950903279143823805532151349651
Probable prime cofactor 1342581525275359605936856333192072378952050107642700521254018875770008984204912312785320716057 has 94 digits
software ソフトウェア
GMP-ECM 7.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:22:55 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 55 秒 (日本時間)

103×10218-13

c212

name 名前Bob Backstrom
date 日付August 26, 2019 01:17:35 UTC 2019 年 8 月 26 日 (月) 10 時 17 分 35 秒 (日本時間)
composite number 合成数
90995920935570232166904329459583971773524722668507151930420596310051797263526492848378788843762274234371585306286129853105108142600361455233978032365517503917926555990713362698865511447830178853719436623580628177<212>
prime factors 素因数
7686178514630714906456547695012192948665237047683890211314843<61>
11838902877725077469600884150009130294296893414707421435483140478172122506808423220863640177163025461346819497451363143782725700436537162901100290555139<152>
factorization results 素因数分解の結果
Number: n
N=90995920935570232166904329459583971773524722668507151930420596310051797263526492848378788843762274234371585306286129853105108142600361455233978032365517503917926555990713362698865511447830178853719436623580628177
  ( 212 digits)
SNFS difficulty: 220 digits.
Divisors found:

Mon Aug 26 11:04:43 2019  p61 factor: 7686178514630714906456547695012192948665237047683890211314843
Mon Aug 26 11:04:43 2019  p152 factor: 11838902877725077469600884150009130294296893414707421435483140478172122506808423220863640177163025461346819497451363143782725700436537162901100290555139
Mon Aug 26 11:04:43 2019  elapsed time 10:35:41 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.122).
Factorization parameters were as follows:
#
# N = 103x10^218-1 = 343(218)
#
n: 90995920935570232166904329459583971773524722668507151930420596310051797263526492848378788843762274234371585306286129853105108142600361455233978032365517503917926555990713362698865511447830178853719436623580628177
m: 1000000000000000000000000000000000000
deg: 6
c6: 10300
c0: -1
skew: 0.21
# Murphy_E = 1.741e-12
type: snfs
lss: 1
rlim: 33000000
alim: 33000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 33000000/33000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 114100000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 14532577 hash collisions in 68920699 relations (55782633 unique)
Msieve: matrix is 4762334 x 4762559 (1676.7 MB)

Sieving start time: 2019/08/23 16:35:56
Sieving end time  : 2019/08/26 00:26:49

Total sieving time: 55hrs 50min 53secs.

Total relation processing time: 10hrs 3min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 1sec.

Prototype def-par.txt line would be:
snfs,220,6,0,0,0,0,0,0,0,0,33000000,33000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.040000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284080K/16703460K available (12300K kernel code, 2478K rwdata, 4280K rodata, 2424K init, 2384K bss, 419380K reserved, 0K cma-reserved)
[    0.072549] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.52 BogoMIPS (lpj=11977052)
[    0.070220] smpboot: Total of 16 processors activated (95816.41 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:56 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 56 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:25 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 25 秒 (日本時間)
4511e61298 / 4342498CypJuly 26, 2015 07:09:38 UTC 2015 年 7 月 26 日 (日) 16 時 9 分 38 秒 (日本時間)
800Dmitry DomanovFebruary 5, 2016 14:38:43 UTC 2016 年 2 月 5 日 (金) 23 時 38 分 43 秒 (日本時間)

103×10222-13

c195

name 名前Serge Batalov
date 日付December 21, 2014 01:58:31 UTC 2014 年 12 月 21 日 (日) 10 時 58 分 31 秒 (日本時間)
composite number 合成数
430886004074750756223292523140043738065266278992639481346060943998842165186923544037502559545874572167190302462119323673760896321116641035501826673532955073410487750659139786736255464720875527953<195>
prime factors 素因数
24815536264785977979870958927067053<35>
composite cofactor 合成数の残り
17363558033851215666659509155487496993733354446489658868100522424742671447860627337139539645141274404023351517813372921144500251685982501471759335370035818365301<161>
factorization results 素因数分解の結果
Input number is 430886004074750756223292523140043738065266278992639481346060943998842165186923544037502559545874572167190302462119323673760896321116641035501826673532955073410487750659139786736255464720875527953 (195 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2895032372
Step 1 took 15999ms
Step 2 took 10247ms
********** Factor found in step 2: 24815536264785977979870958927067053
Found probable prime factor of 35 digits: 24815536264785977979870958927067053
Composite cofactor 17363558033851215666659509155487496993733354446489658868100522424742671447860627337139539645141274404023351517813372921144500251685982501471759335370035818365301 has 161 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:22:57 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 57 秒 (日本時間)
4511e61385 / 4409585CypJuly 25, 2015 18:30:55 UTC 2015 年 7 月 26 日 (日) 3 時 30 分 55 秒 (日本時間)
800Dmitry DomanovFebruary 5, 2016 14:38:59 UTC 2016 年 2 月 5 日 (金) 23 時 38 分 59 秒 (日本時間)

103×10224-13

c150

name 名前Mehrshad Alipour
date 日付May 31, 2024 11:41:20 UTC 2024 年 5 月 31 日 (金) 20 時 41 分 20 秒 (日本時間)
composite number 合成数
429481947113596632444089832394799233581493871912160969538182181841655174542933070460463295553522278806976162754105061765735222111066452457475200957909<150>
prime factors 素因数
184597403088768411780651209478412454805090720064376160309029867928731<69>
2326587156305060183916173138593435730565774793785830969664261813944257733186895439<82>
factorization results 素因数分解の結果
PID4178 2024-05-31 14:57:56,766 Info:Square Root: Factors: 184597403088768411780651209478412454805090720064376160309029867928731 2326587156305060183916173138593435730565774793785830969664261813944257733186895439
software ソフトウェア
cado-nfs
execution environment 実行環境
core i3-12100 ubuuntu 23.10

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:58 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 58 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:18 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 18 秒 (日本時間)
4511e64000800Dmitry DomanovFebruary 5, 2016 14:39:17 UTC 2016 年 2 月 5 日 (金) 23 時 39 分 17 秒 (日本時間)
3200Lionel DebrouxJanuary 5, 2018 15:49:35 UTC 2018 年 1 月 6 日 (土) 0 時 49 分 35 秒 (日本時間)
5043e612954500Lionel DebrouxJanuary 5, 2018 15:49:45 UTC 2018 年 1 月 6 日 (土) 0 時 49 分 45 秒 (日本時間)
6000yoyo@HomeApril 17, 2021 01:52:19 UTC 2021 年 4 月 17 日 (土) 10 時 52 分 19 秒 (日本時間)
6454Ignacio SantosDecember 12, 2023 09:59:42 UTC 2023 年 12 月 12 日 (火) 18 時 59 分 42 秒 (日本時間)

103×10225-13

c174

composite cofactor 合成数の残り
213326869636305878252085841396805740292355124797169868968105701743052484085794565630113639381260483632922878996634845912292508968325136966792648929617061390612838815711475063<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:57 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 57 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:26 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 26 秒 (日本時間)
4511e61298 / 4342498CypFebruary 2, 2015 10:42:55 UTC 2015 年 2 月 2 日 (月) 19 時 42 分 55 秒 (日本時間)
800Dmitry DomanovFebruary 5, 2016 14:39:34 UTC 2016 年 2 月 5 日 (金) 23 時 39 分 34 秒 (日本時間)

103×10227-13

c205

name 名前Dmitry Domanov
date 日付February 6, 2016 17:20:57 UTC 2016 年 2 月 7 日 (日) 2 時 20 分 57 秒 (日本時間)
composite number 合成数
2013498517372109140109344766773625815063362192611824497039543018918662128494785646346251934029694909620964637439395562040521348994786273784967122944246396276152242867199507763930752217418345629003293562853<205>
prime factors 素因数
211380444886861368883235053371921819321316813<45>
composite cofactor 合成数の残り
9525472039051710802050185386697524619237117665590391229834773601575245645296798319037863781907994914370434168412953209388291456608279783783754670776657507177081<160>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=77975844
Step 1 took 90204ms
Step 2 took 27311ms
********** Factor found in step 2: 211380444886861368883235053371921819321316813
Found probable prime factor of 45 digits: 211380444886861368883235053371921819321316813

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:58 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 58 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:26 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 26 秒 (日本時間)
4511e61298 / 4342498CypJanuary 29, 2015 07:13:53 UTC 2015 年 1 月 29 日 (木) 16 時 13 分 53 秒 (日本時間)
800Dmitry DomanovFebruary 5, 2016 14:39:52 UTC 2016 年 2 月 5 日 (金) 23 時 39 分 52 秒 (日本時間)

103×10228-13

c222

name 名前Serge Batalov
date 日付December 21, 2014 01:58:35 UTC 2014 年 12 月 21 日 (日) 10 時 58 分 35 秒 (日本時間)
composite number 合成数
195925174471510530842121533256925939224532077945250749137499813799752271068086526134256439928758486976856506157934891291135695890772483715341485757016858967510738378240324904352706203442412543771847713692358835070075900899<222>
prime factors 素因数
4395659613013514246714008374618139<34>
44572417275320123427951864972720637580613234104084606335375066592068573229643959088256865310847525893886622950102001126145867637496451262689306688530234468574861824329804502165719137914841<188>
factorization results 素因数分解の結果
Input number is 195925174471510530842121533256925939224532077945250749137499813799752271068086526134256439928758486976856506157934891291135695890772483715341485757016858967510738378240324904352706203442412543771847713692358835070075900899 (222 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3712987116
Step 1 took 18148ms
Step 2 took 8198ms
********** Factor found in step 2: 4395659613013514246714008374618139
Found probable prime factor of 34 digits: 4395659613013514246714008374618139
Probable prime cofactor 44572417275320123427951864972720637580613234104084606335375066592068573229643959088256865310847525893886622950102001126145867637496451262689306688530234468574861824329804502165719137914841 has 188 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:22:58 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 58 秒 (日本時間)

103×10229-13

c196

name 名前Serge Batalov
date 日付December 21, 2014 01:58:39 UTC 2014 年 12 月 21 日 (日) 10 時 58 分 39 秒 (日本時間)
composite number 合成数
1354634149707517536976017781518151020935666505117726826322600077042833273756277113955831948414401321153543952436298215302755107389362929813241736778155369369935517283076176232172006138816368048667<196>
prime factors 素因数
442470369985723717330487943066702659<36>
composite cofactor 合成数の残り
3061525113537488928121195928091903277942154322465578897665010516105205877157055090133755956828060483736729286722028320601737626936695477747341479823488202019913<160>
factorization results 素因数分解の結果
Input number is 1354634149707517536976017781518151020935666505117726826322600077042833273756277113955831948414401321153543952436298215302755107389362929813241736778155369369935517283076176232172006138816368048667 (196 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=509178209
Step 1 took 16145ms
********** Factor found in step 1: 442470369985723717330487943066702659
Found probable prime factor of 36 digits: 442470369985723717330487943066702659
Composite cofactor 3061525113537488928121195928091903277942154322465578897665010516105205877157055090133755956828060483736729286722028320601737626936695477747341479823488202019913 has 160 digits

c160

name 名前Serge Batalov
date 日付December 22, 2014 02:55:10 UTC 2014 年 12 月 22 日 (月) 11 時 55 分 10 秒 (日本時間)
composite number 合成数
3061525113537488928121195928091903277942154322465578897665010516105205877157055090133755956828060483736729286722028320601737626936695477747341479823488202019913<160>
prime factors 素因数
3979649245738929841321566115816722817<37>
769295212842063858461066271567206807020580891786137898968687216993635274503606590413935259121793227608582766718274862847689<123>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3914049308
Step 1 took 40666ms
Step 2 took 20333ms
********** Factor found in step 2: 3979649245738929841321566115816722817
Found probable prime factor of 37 digits: 3979649245738929841321566115816722817
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:22:59 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 59 秒 (日本時間)
4511e62000 / 4409Serge BatalovDecember 22, 2014 02:50:36 UTC 2014 年 12 月 22 日 (月) 11 時 50 分 36 秒 (日本時間)

103×10230-13

c182

name 名前Serge Batalov
date 日付December 21, 2014 01:58:42 UTC 2014 年 12 月 21 日 (日) 10 時 58 分 42 秒 (日本時間)
composite number 合成数
11614924486012454682971822324746812084982243164411091698342470269839596877951981557434913534260324206548891203135368605144541209804332060009986464042674273671112120016152253436349387<182>
prime factors 素因数
15191521972049762758077490020047<32>
764566217090181078485856264150250364888707748600342794509361852652983081635263625110211369879424324672188464096770957715311303455744089777242948977221<150>
factorization results 素因数分解の結果
Input number is 11614924486012454682971822324746812084982243164411091698342470269839596877951981557434913534260324206548891203135368605144541209804332060009986464042674273671112120016152253436349387 (182 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3930639486
Step 1 took 13729ms
Step 2 took 9649ms
********** Factor found in step 2: 15191521972049762758077490020047
Found probable prime factor of 32 digits: 15191521972049762758077490020047
Probable prime cofactor 764566217090181078485856264150250364888707748600342794509361852652983081635263625110211369879424324672188464096770957715311303455744089777242948977221 has 150 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:22:59 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 59 秒 (日本時間)

103×10233-13

c200

name 名前Cyp
date 日付January 26, 2015 02:47:32 UTC 2015 年 1 月 26 日 (月) 11 時 47 分 32 秒 (日本時間)
composite number 合成数
23777818425835120510906379934386431219058942590264508920771323137144446125743877039954835387758490143192942301551431333310645574587127134310590223812530743200857278293261852850453989815599167825307057<200>
prime factors 素因数
377702539385822638240656002496983203043747<42>
62953821979857304658746910482907378287781201758182473990529109904084193775573595902228731678336219989873949245687909514539377892166405265522543356888883224731<158>
factorization results 素因数分解の結果
Run 146 out of 498:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2730220950
Step 1 took 69414ms
Step 2 took 21201ms
********** Factor found in step 2: 377702539385822638240656002496983203043747
Found probable prime factor of 42 digits: 377702539385822638240656002496983203043747
Probable prime cofactor 62953821979857304658746910482907378287781201758182473990529109904084193775573595902228731678336219989873949245687909514539377892166405265522543356888883224731 has 158 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 1814300Serge BatalovDecember 20, 2014 21:23:00 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 0 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:27 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 27 秒 (日本時間)
4511e6146 / 4342CypJanuary 26, 2015 02:47:31 UTC 2015 年 1 月 26 日 (月) 11 時 47 分 31 秒 (日本時間)

103×10235-13

c169

composite cofactor 合成数の残り
2590586913332944107116058378774904045761358114345091973833039367076244643672087990815537242937922163679840256950777983579073411502142909950073715648221738870356358090627<169>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:00 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 0 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:27 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 27 秒 (日本時間)
4511e61298 / 4342498CypJuly 25, 2015 16:55:18 UTC 2015 年 7 月 26 日 (日) 1 時 55 分 18 秒 (日本時間)
800Dmitry DomanovFebruary 5, 2016 14:40:10 UTC 2016 年 2 月 5 日 (金) 23 時 40 分 10 秒 (日本時間)

103×10236-13

c206

composite cofactor 合成数の残り
51263502731159169118217617159703933749966072803718745749765453272281029697818962948591214845095904948523779411749284860375605492526391653437431098724957708138251892710927746084604371312894978457874550009197<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:01 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 1 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:27 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 27 秒 (日本時間)
4511e61298 / 4342498CypMay 14, 2015 18:35:56 UTC 2015 年 5 月 15 日 (金) 3 時 35 分 56 秒 (日本時間)
800Dmitry DomanovFebruary 5, 2016 14:40:27 UTC 2016 年 2 月 5 日 (金) 23 時 40 分 27 秒 (日本時間)

103×10237-13

c228

composite cofactor 合成数の残り
364615152135560029754199729744273552687127773750156621381112298316536818649792022067788147996843212407580280503481183213537697439847430782938979964603319832968422614597579298560645137284835186004022691720017659019950109960565543<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:01 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 1 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:28 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 28 秒 (日本時間)
4511e61298 / 4342498CypJune 25, 2015 12:34:30 UTC 2015 年 6 月 25 日 (木) 21 時 34 分 30 秒 (日本時間)
800Dmitry DomanovFebruary 5, 2016 14:40:43 UTC 2016 年 2 月 5 日 (金) 23 時 40 分 43 秒 (日本時間)

103×10238-13

c228

name 名前Serge Batalov
date 日付December 21, 2014 01:58:46 UTC 2014 年 12 月 21 日 (日) 10 時 58 分 46 秒 (日本時間)
composite number 合成数
750038119873505572388084727768636700704591298995920084674527199694484882428605281111399328655086079600265134472356301143494690347596926190446965147224874409765562381780425492810069552767101676675311295411318211853941815136692707<228>
prime factors 素因数
1409107145563290644442080441739489870269<40>
composite cofactor 合成数の残り
532278984060986931148798862732271603946760517823877480327529158686128904102579227090758417857199505026080215035260555082681719468341620512631989367105798438788408973317786038333777230595103<189>
factorization results 素因数分解の結果
Input number is 750038119873505572388084727768636700704591298995920084674527199694484882428605281111399328655086079600265134472356301143494690347596926190446965147224874409765562381780425492810069552767101676675311295411318211853941815136692707 (228 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1218383594
Step 1 took 18149ms
Step 2 took 11552ms
********** Factor found in step 2: 1409107145563290644442080441739489870269
Found probable prime factor of 40 digits: 1409107145563290644442080441739489870269
Composite cofactor 532278984060986931148798862732271603946760517823877480327529158686128904102579227090758417857199505026080215035260555082681719468341620512631989367105798438788408973317786038333777230595103 has 189 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:23:02 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 2 秒 (日本時間)
4511e61385 / 4409585CypJune 22, 2015 17:36:15 UTC 2015 年 6 月 23 日 (火) 2 時 36 分 15 秒 (日本時間)
800Dmitry DomanovFebruary 5, 2016 14:41:02 UTC 2016 年 2 月 5 日 (金) 23 時 41 分 2 秒 (日本時間)

103×10240-13

c191

composite cofactor 合成数の残り
34620488552899580626300325856698043011505926908863141548424161247773174050224238298709813927139352239487683926619135758238396974741644758087351865999494918375579512968893198054283785426333747<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:02 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 2 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:28 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 28 秒 (日本時間)
4511e61298 / 4342498CypJuly 25, 2015 18:30:43 UTC 2015 年 7 月 26 日 (日) 3 時 30 分 43 秒 (日本時間)
800Dmitry DomanovFebruary 5, 2016 14:41:18 UTC 2016 年 2 月 5 日 (金) 23 時 41 分 18 秒 (日本時間)

103×10241-13

c203

name 名前Serge Batalov
date 日付December 21, 2014 01:58:50 UTC 2014 年 12 月 21 日 (日) 10 時 58 分 50 秒 (日本時間)
composite number 合成数
12464720271690429086700449175831673755508276131185025009197842855162855911861531681382983415809276099485158835013840416452128860029279364671368572539427158799693196128670921180033912489301307255905599007<203>
prime factors 素因数
36022009965986344181610877118985901<35>
346030670788781559538637076862194032761285500149235891963377390457859089379913736468350433147781494557139471417185011012328823865175902956688179856360294625446247267707<168>
factorization results 素因数分解の結果
Input number is 12464720271690429086700449175831673755508276131185025009197842855162855911861531681382983415809276099485158835013840416452128860029279364671368572539427158799693196128670921180033912489301307255905599007 (203 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2599420420
Step 1 took 16029ms
Step 2 took 10577ms
********** Factor found in step 2: 36022009965986344181610877118985901
Found probable prime factor of 35 digits: 36022009965986344181610877118985901
Probable prime cofactor 346030670788781559538637076862194032761285500149235891963377390457859089379913736468350433147781494557139471417185011012328823865175902956688179856360294625446247267707 has 168 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:23:02 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 2 秒 (日本時間)

103×10242-13

c231

composite cofactor 合成数の残り
510344825894115314477433236539986398417907808950683124228305716561798337315471299982911961493683959400453253470298739659313339931557456431252471878042716565141779043923833173112032724286130192855111531057947430604250690659977046851<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:03 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 3 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:29 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 29 秒 (日本時間)
4511e61298 / 4342498CypJanuary 23, 2015 21:18:00 UTC 2015 年 1 月 24 日 (土) 6 時 18 分 0 秒 (日本時間)
800Dmitry DomanovFebruary 5, 2016 14:41:34 UTC 2016 年 2 月 5 日 (金) 23 時 41 分 34 秒 (日本時間)

103×10243-13

c218

name 名前Serge Batalov
date 日付December 21, 2014 01:58:53 UTC 2014 年 12 月 21 日 (日) 10 時 58 分 53 秒 (日本時間)
composite number 合成数
19334891003588117554742565507358195260431934848331131434175843760238240191809167810709881122844057976788702792146849632149121863079894900200020554124247812001683585218812891178619643997820420230537364956568091184842193<218>
prime factors 素因数
1144602418588467833030954460501869<34>
composite cofactor 合成数の残り
16892233224032540593796511494457243393581623413007510356449903310169914212188018497937523107471347817402004505795398406352197930929037685753519359462809049504804733498982154818020046197<185>
factorization results 素因数分解の結果
Input number is 19334891003588117554742565507358195260431934848331131434175843760238240191809167810709881122844057976788702792146849632149121863079894900200020554124247812001683585218812891178619643997820420230537364956568091184842193 (218 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=819712708
Step 1 took 18149ms
********** Factor found in step 1: 1144602418588467833030954460501869
Found probable prime factor of 34 digits: 1144602418588467833030954460501869
Composite cofactor 16892233224032540593796511494457243393581623413007510356449903310169914212188018497937523107471347817402004505795398406352197930929037685753519359462809049504804733498982154818020046197 has 185 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:03 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 3 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:29 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 29 秒 (日本時間)
4511e61298 / 4342498CypJuly 2, 2015 16:33:40 UTC 2015 年 7 月 3 日 (金) 1 時 33 分 40 秒 (日本時間)
800Dmitry DomanovFebruary 5, 2016 14:41:51 UTC 2016 年 2 月 5 日 (金) 23 時 41 分 51 秒 (日本時間)

103×10244-13

c219

composite cofactor 合成数の残り
234011101452099802079779978329383950653804942116920735145507392471283623506244602363602144662245480839451798857015850466148765740835140295394591665121207823596160382039942706440491455986546662879597227488150327731208237<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:04 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 4 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:29 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 29 秒 (日本時間)
4511e61298 / 4342498CypJanuary 23, 2015 21:12:40 UTC 2015 年 1 月 24 日 (土) 6 時 12 分 40 秒 (日本時間)
800Dmitry DomanovFebruary 5, 2016 14:42:08 UTC 2016 年 2 月 5 日 (金) 23 時 42 分 8 秒 (日本時間)

103×10245-13

c222

composite cofactor 合成数の残り
360613065965587445956556339315539211562808859232086386322324051325618005407503269113691445975105555569831718645138123433638603861289692157006437721054143461715894328476953453570901934334820343299737306239144970881173420427<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:04 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 4 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:30 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 30 秒 (日本時間)
4511e61298 / 4342242CypJanuary 6, 2015 20:33:36 UTC 2015 年 1 月 7 日 (水) 5 時 33 分 36 秒 (日本時間)
256CypJanuary 26, 2015 01:46:25 UTC 2015 年 1 月 26 日 (月) 10 時 46 分 25 秒 (日本時間)
800Dmitry DomanovFebruary 5, 2016 14:42:26 UTC 2016 年 2 月 5 日 (金) 23 時 42 分 26 秒 (日本時間)

103×10247-13

c217

composite cofactor 合成数の残り
1741316610093593246677172090979478434938097523511672145995664325778625832954872351537910910176528143051881315496331115635233535027107615029919742553321764479177937781599020823034994910804706792601753293334330900876101<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:05 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 5 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:30 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 30 秒 (日本時間)
4511e61298 / 4342498CypJuly 26, 2015 07:38:41 UTC 2015 年 7 月 26 日 (日) 16 時 38 分 41 秒 (日本時間)
800Dmitry DomanovFebruary 5, 2016 14:42:45 UTC 2016 年 2 月 5 日 (金) 23 時 42 分 45 秒 (日本時間)

103×10248-13

c239

name 名前Serge Batalov
date 日付December 21, 2014 01:58:57 UTC 2014 年 12 月 21 日 (日) 10 時 58 分 57 秒 (日本時間)
composite number 合成数
26296376280786934550759554467801348409447163340990128436034918738184702523157531160958777004249668925557054618789645581692305232750469807529684372953485784492607742471419703509731534675064895905820444219957852584294752885174476611809937061<239>
prime factors 素因数
1049308951833758358845503909259<31>
composite cofactor 合成数の残り
25060661337951741805017672061539270100446372614534522585056597508124086210562137721535374473218470625970292810021714355704806473454682965997955138276979034665056154386474613153834527412429642744751808012878479<209>
factorization results 素因数分解の結果
Input number is 26296376280786934550759554467801348409447163340990128436034918738184702523157531160958777004249668925557054618789645581692305232750469807529684372953485784492607742471419703509731534675064895905820444219957852584294752885174476611809937061 (239 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2771863486
Step 1 took 21202ms
Step 2 took 12536ms
********** Factor found in step 2: 1049308951833758358845503909259
Found probable prime factor of 31 digits: 1049308951833758358845503909259
Composite cofactor 25060661337951741805017672061539270100446372614534522585056597508124086210562137721535374473218470625970292810021714355704806473454682965997955138276979034665056154386474613153834527412429642744751808012878479 has 209 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:23:05 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 5 秒 (日本時間)
4511e61385 / 4409329CypJanuary 7, 2015 07:35:35 UTC 2015 年 1 月 7 日 (水) 16 時 35 分 35 秒 (日本時間)
256CypFebruary 2, 2015 01:43:02 UTC 2015 年 2 月 2 日 (月) 10 時 43 分 2 秒 (日本時間)
800Dmitry DomanovFebruary 5, 2016 14:43:03 UTC 2016 年 2 月 5 日 (金) 23 時 43 分 3 秒 (日本時間)

103×10249-13

c208

composite cofactor 合成数の残り
1724968798567229336850294528380845180982076304354597672673925949637290840079281486828679585109560007313376781365491146630664878425393058126141463675853487711005000397810775069205123225006205627659207365367669<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:06 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 6 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:30 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 30 秒 (日本時間)
4511e61298 / 4342498CypJuly 4, 2015 09:25:09 UTC 2015 年 7 月 4 日 (土) 18 時 25 分 9 秒 (日本時間)
800Dmitry DomanovFebruary 5, 2016 14:43:20 UTC 2016 年 2 月 5 日 (金) 23 時 43 分 20 秒 (日本時間)

103×10250-13

c227

name 名前Dmitry Domanov
date 日付April 28, 2015 06:27:53 UTC 2015 年 4 月 28 日 (火) 15 時 27 分 53 秒 (日本時間)
composite number 合成数
27304660967416380037231840650272181257802052152012853820770764045399776469631133616341905050599496732500984909677340303650672675275962492990834140348422191835354789489836779140898830560111639823452415899542874167253187273728387<227>
prime factors 素因数
2257988786603417762988704031605524107189529<43>
composite cofactor 合成数の残り
12092469692238572980464987409172385678277879270549178608325416528499371988521688306774273261056127415003202381946281852336307987331228165700557393425424592359333873796331888770718526203<185>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1076006725
Step 1 took 134014ms
Step 2 took 41277ms
********** Factor found in step 2: 2257988786603417762988704031605524107189529
Found probable prime factor of 43 digits: 2257988786603417762988704031605524107189529

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:06 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 6 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:31 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 31 秒 (日本時間)
4511e6600 / 2658Dmitry DomanovApril 27, 2015 14:06:53 UTC 2015 年 4 月 27 日 (月) 23 時 6 分 53 秒 (日本時間)
5043e6480 / 7395Dmitry DomanovJune 30, 2015 00:08:22 UTC 2015 年 6 月 30 日 (火) 9 時 8 分 22 秒 (日本時間)

103×10251-13

c241

composite cofactor 合成数の残り
2683359559859902546542441159455714189715836169652989835761749721152907329574914294356528017779659402619513210540668666615241471359556540397112184132193940589922346391138340508928004738442218493356178962168785375488320217589053555734156145679<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e625361000Dmitry DomanovMarch 11, 2017 17:19:18 UTC 2017 年 3 月 12 日 (日) 2 時 19 分 18 秒 (日本時間)
1536Youcef LemsaferMay 8, 2019 16:53:51 UTC 2019 年 5 月 9 日 (木) 1 時 53 分 51 秒 (日本時間)
4511e63600Youcef LemsaferMay 9, 2019 02:24:35 UTC 2019 年 5 月 9 日 (木) 11 時 24 分 35 秒 (日本時間)
5043e60--
5511e73200 / 17523Youcef LemsaferMay 12, 2019 14:35:26 UTC 2019 年 5 月 12 日 (日) 23 時 35 分 26 秒 (日本時間)

103×10252-13

c184

name 名前Youcef Lemsafer
date 日付May 14, 2019 18:37:41 UTC 2019 年 5 月 15 日 (水) 3 時 37 分 41 秒 (日本時間)
composite number 合成数
8260696224089199811566830574802254810116227449149570684895520309831261771454206936591093417439243782691017639784711618677586431653287168817315419821897738801607796912828173536495811837<184>
prime factors 素因数
44447686332609175751298336862414760560769142950545951<53>
185852108527608910451670894805581891499471489694374176246937872412293483983534357241792039058750247775470873897054411897943378169187<132>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, GWNUM 29.4, --enable-asm-redc] [ECM]
Input number is (103*10^252-1)/(3*12919*2930689*20099157679489484481257*5461636954238657743288775779202876407) (184 digits)
[Tue May 14 09:23:17 2019]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:12351328324417949141
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35 40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+07 3.6e+08
Using gwnum_ecmStage1(103, 10, 252, -1, 110000000, 1)
Step 1 took 698200ms
Using 23 small primes for NTT
Estimated memory usage: 521.61MB
Initializing tables of differences for F took 388ms
Computing roots of F took 17240ms
Building F from its roots took 6608ms
Computing 1/F took 3120ms
Initializing table of differences for G took 368ms
Computing roots of G took 14556ms
Building G from its roots took 7752ms
Computing roots of G took 14856ms
Building G from its roots took 7688ms
Computing G * H took 1616ms
Reducing  G * H mod F took 1680ms
Computing roots of G took 14448ms
Building G from its roots took 7824ms
Computing G * H took 1596ms
Reducing  G * H mod F took 1772ms
Computing roots of G took 14224ms
Building G from its roots took 7884ms
Computing G * H took 1556ms
Reducing  G * H mod F took 1772ms
Computing polyeval(F,G) took 13820ms
Computing product of all F(g_i) took 40ms
Step 2 took 141200ms
********** Factor found in step 2: 44447686332609175751298336862414760560769142950545951
Found prime factor of 53 digits: 44447686332609175751298336862414760560769142950545951
Prime cofactor ((103*10^252-1)/(3*12919*2930689*20099157679489484481257*5461636954238657743288775779202876407))/44447686332609175751298336862414760560769142950545951 has 132 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e625361000Dmitry DomanovMarch 9, 2017 21:46:33 UTC 2017 年 3 月 10 日 (金) 6 時 46 分 33 秒 (日本時間)
1536Youcef LemsaferMay 12, 2019 18:22:36 UTC 2019 年 5 月 13 日 (月) 3 時 22 分 36 秒 (日本時間)
4511e63600Youcef LemsaferMay 13, 2019 06:01:01 UTC 2019 年 5 月 13 日 (月) 15 時 1 分 1 秒 (日本時間)
5043e60 / 3448--
5511e71326 / 17523Youcef LemsaferMay 14, 2019 18:36:57 UTC 2019 年 5 月 15 日 (水) 3 時 36 分 57 秒 (日本時間)

103×10254-13

c255

name 名前Youcef Lemsafer
date 日付May 14, 2019 21:49:38 UTC 2019 年 5 月 15 日 (水) 6 時 49 分 38 秒 (日本時間)
composite number 合成数
110752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043<255>
prime factors 素因数
7131804770620317762803131736693139256651<40>
15529405491901854834465546639735497574030140356534827829469621817741923134822704216277279149207438821168671547325776462010344032373665025726122396233256071934302263697549199415444233394009630848129804754003760278593<215>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, GWNUM 29.4, --enable-asm-redc] [ECM]
Input number is (10^254*103-1)/(3*31) (255 digits)
[Tue May 14 22:56:34 2019]
Using MODMULN [mulredc:0, sqrredc:2]
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:5334963513718172228
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
35   40      45      50      55      60      65      70      75      80
324     2351    20272   201449  2247436 2.8e+07 3.9e+08 6e+09   1.1e+11 7.4e+15
Step 1 took 24868ms
Using 30 small primes for NTT
Estimated memory usage: 81.07MB
Initializing tables of differences for F took 16ms
Computing roots of F took 524ms
Building F from its roots took 880ms
Computing 1/F took 444ms
Initializing table of differences for G took 20ms
Computing roots of G took 604ms
Building G from its roots took 952ms
Computing roots of G took 496ms
Building G from its roots took 968ms
Computing G * H took 224ms
Reducing  G * H mod F took 240ms
Computing polyeval(F,G) took 1652ms
Computing product of all F(g_i) took 8ms
Step 2 took 7072ms
********** Factor found in step 2: 7131804770620317762803131736693139256651
Found prime factor of 40 digits: 7131804770620317762803131736693139256651
Prime cofactor ((10^254*103-1)/(3*31))/7131804770620317762803131736693139256651 has 215 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e62375Youcef LemsaferMay 14, 2019 21:48:07 UTC 2019 年 5 月 15 日 (水) 6 時 48 分 7 秒 (日本時間)

103×10256-13

c203

name 名前Dmitry Domanov
date 日付March 10, 2017 07:25:26 UTC 2017 年 3 月 10 日 (金) 16 時 25 分 26 秒 (日本時間)
composite number 合成数
40401336441310016059451711204096368585808583417657382277761328178681231844624304557868815225862287701426932088215329426594738484844264629580090885380553858726441559723925952095465739538318254610754675219<203>
prime factors 素因数
229925617802193223162182736495397791<36>
175714810848383134218811171267204475325735331696191155280238623312225585048280196998275254447408978029250799028744564149386411868110416500459543714729666516784426276109<168>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=784612808
Step 1 took 19684ms
Step 2 took 7855ms
********** Factor found in step 2: 229925617802193223162182736495397791
Found probable prime factor of 36 digits: 229925617802193223162182736495397791

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovMarch 10, 2017 06:59:32 UTC 2017 年 3 月 10 日 (金) 15 時 59 分 32 秒 (日本時間)

103×10257-13

c221

composite cofactor 合成数の残り
18192491251888050147020194579223129342876455723921115949332537535942877737759627073063499166565622259496456965855023708941661071675061691773772735593554923602519540923511344361734809345274280742366054078166690525262718299<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e625361000Dmitry DomanovMarch 10, 2017 07:00:18 UTC 2017 年 3 月 10 日 (金) 16 時 0 分 18 秒 (日本時間)
1536Youcef LemsaferMay 15, 2019 06:27:49 UTC 2019 年 5 月 15 日 (水) 15 時 27 分 49 秒 (日本時間)
4511e63840Youcef LemsaferMay 15, 2019 17:29:15 UTC 2019 年 5 月 16 日 (木) 2 時 29 分 15 秒 (日本時間)
5043e60--
5511e73200 / 17508Youcef LemsaferMay 18, 2019 16:29:46 UTC 2019 年 5 月 19 日 (日) 1 時 29 分 46 秒 (日本時間)

103×10258-13

c251

composite cofactor 合成数の残り
65477895887039471652831578225987367367346329832375817322829211619618150749145607066636944279029585568712940357213847305853202548394367978668944188769259650019616637256189025866888293197268027988866064841271469438417453113568892377763084326038150434127<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e62560Youcef LemsaferMay 19, 2019 09:23:14 UTC 2019 年 5 月 19 日 (日) 18 時 23 分 14 秒 (日本時間)
4511e63840Youcef LemsaferMay 19, 2019 09:23:14 UTC 2019 年 5 月 19 日 (日) 18 時 23 分 14 秒 (日本時間)
5043e60--
5511e73200 / 17508Youcef LemsaferMay 22, 2019 17:38:04 UTC 2019 年 5 月 23 日 (木) 2 時 38 分 4 秒 (日本時間)

103×10259-13

c223

name 名前Youcef Lemsafer
date 日付May 22, 2019 19:32:12 UTC 2019 年 5 月 23 日 (木) 4 時 32 分 12 秒 (日本時間)
composite number 合成数
2380191896282387780573107662555633610358982209537125149804806309989712989732598905788197430239765262641776633500058687532525359250794663286954658645578163690064670244675226998023687011408212517065917059267161395348731408381<223>
prime factors 素因数
17253562481284573682579223537739475000802571<44>
137953648637158217432556169047127423092492773722466076720824990156713287179717607462972896235725453042198672553098004157827206620857279158417333835891014477296871796516391245913111<180>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, GWNUM 29.4, --enable-asm-redc] [ECM]
Input number is (103*10^259-1)/(3*7*67*6353*13513*21742602707009*164774116875997) (223 digits)
[Wed May 22 21:13:59 2019]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:8679485812751144166
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits:
35   40      45      50      55      60      65      70      75      80
122     686     4482    33676   284176  2657998 2.7e+07 3e+08   3.7e+09 4.4e+10
Using gwnum_ecmStage1(103, 10, 259, -1, 11000000, 1)
Step 1 took 67760ms
Using 27 small primes for NTT
Estimated memory usage: 145.97MB
Initializing tables of differences for F took 64ms
Computing roots of F took 1828ms
Building F from its roots took 1460ms
Computing 1/F took 788ms
Initializing table of differences for G took 68ms
Computing roots of G took 1580ms
Building G from its roots took 1796ms
Computing roots of G took 1824ms
Building G from its roots took 1960ms
Computing G * H took 368ms
Reducing  G * H mod F took 456ms
Computing roots of G took 1668ms
Building G from its roots took 1996ms
Computing G * H took 456ms
Reducing  G * H mod F took 500ms
Computing polyeval(F,G) took 3472ms
Computing product of all F(g_i) took 24ms
Step 2 took 20412ms
********** Factor found in step 2: 17253562481284573682579223537739475000802571
Found prime factor of 44 digits: 17253562481284573682579223537739475000802571
Prime cofactor ((103*10^259-1)/(3*7*67*6353*13513*21742602707009*164774116875997))/17253562481284573682579223537739475000802571 has 180 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e625361000Dmitry DomanovMarch 10, 2017 11:55:47 UTC 2017 年 3 月 10 日 (金) 20 時 55 分 47 秒 (日本時間)
1536Youcef LemsaferMay 22, 2019 19:31:34 UTC 2019 年 5 月 23 日 (木) 4 時 31 分 34 秒 (日本時間)
4511e6193 / 3878Youcef LemsaferMay 22, 2019 19:31:34 UTC 2019 年 5 月 23 日 (木) 4 時 31 分 34 秒 (日本時間)

103×10260-13

c259

composite cofactor 合成数の残り
3095882176134655846107604448452058911932672076946197775773970544033663961526901112113014727983168019236549443943492636008415990381725278028253681995792004809137360985873159002103997595431319507063420498948001202284340246468289750525999398857829876765855124737<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e62560Youcef LemsaferMay 22, 2019 22:21:52 UTC 2019 年 5 月 23 日 (木) 7 時 21 分 52 秒 (日本時間)
4511e63840Youcef LemsaferMay 23, 2019 19:25:00 UTC 2019 年 5 月 24 日 (金) 4 時 25 分 0 秒 (日本時間)
5043e60--
5511e73200 / 17508Youcef LemsaferMay 26, 2019 16:50:38 UTC 2019 年 5 月 27 日 (月) 1 時 50 分 38 秒 (日本時間)

103×10261-13

c242

composite cofactor 合成数の残り
91470405025401208752759486235357967075722461003963394397523049312691570795551489328713471470410522316026337210426960827153778233612749121555098228792325212899838952871199667631517076189984088696527452379177531130960323367613922359691230603897<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovMarch 11, 2017 17:19:53 UTC 2017 年 3 月 12 日 (日) 2 時 19 分 53 秒 (日本時間)
1600Youcef LemsaferMay 26, 2019 22:26:49 UTC 2019 年 5 月 27 日 (月) 7 時 26 分 49 秒 (日本時間)
4511e63840Youcef LemsaferMay 27, 2019 06:30:53 UTC 2019 年 5 月 27 日 (月) 15 時 30 分 53 秒 (日本時間)
5043e60--
5511e73200 / 17508Youcef LemsaferMay 30, 2019 11:36:26 UTC 2019 年 5 月 30 日 (木) 20 時 36 分 26 秒 (日本時間)

103×10262-13

c261

composite cofactor 合成数の残り
187511378117604223557254687784452940105588931367194611323502639723284179865283087565993082104496632077189149827052612415801929728745676315310395048243218641907882759876206080466047697068996905152011651192426724922628800291279810668123065720007281995266703076643<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e62560Youcef LemsaferMay 30, 2019 15:53:17 UTC 2019 年 5 月 31 日 (金) 0 時 53 分 17 秒 (日本時間)
4511e63840Youcef LemsaferMay 31, 2019 10:27:53 UTC 2019 年 5 月 31 日 (金) 19 時 27 分 53 秒 (日本時間)
5043e60--
5511e73200 / 17508Youcef LemsaferJune 3, 2019 23:50:10 UTC 2019 年 6 月 4 日 (火) 8 時 50 分 10 秒 (日本時間)

103×10263-13

c209

composite cofactor 合成数の残り
45711893587934757689308442890463446244303759492260440744474520397008817829629637462146731129265639127922956386312128523599354508226898293065106441179487237731979771488041998937125633620388258219507141857592803<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e625601000Dmitry DomanovMarch 10, 2017 09:27:22 UTC 2017 年 3 月 10 日 (金) 18 時 27 分 22 秒 (日本時間)
1560Youcef LemsaferJune 4, 2019 01:10:07 UTC 2019 年 6 月 4 日 (火) 10 時 10 分 7 秒 (日本時間)
4511e63840Youcef LemsaferJune 4, 2019 22:41:15 UTC 2019 年 6 月 5 日 (水) 7 時 41 分 15 秒 (日本時間)
5043e60--
5511e73200 / 17508Youcef LemsaferJune 7, 2019 18:48:23 UTC 2019 年 6 月 8 日 (土) 3 時 48 分 23 秒 (日本時間)

103×10265-13

c211

composite cofactor 合成数の残り
9040294409371912254361015706342964373882507180301979054262515227678914101603385247511200574818152685293963446610991687008073884105359571188844798474323757714419245272796126429671224428369569157750515688694299509<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e625601000Dmitry DomanovMarch 10, 2017 09:27:50 UTC 2017 年 3 月 10 日 (金) 18 時 27 分 50 秒 (日本時間)
1560Youcef LemsaferJune 7, 2019 21:25:20 UTC 2019 年 6 月 8 日 (土) 6 時 25 分 20 秒 (日本時間)
4511e63840Youcef LemsaferJune 8, 2019 09:27:58 UTC 2019 年 6 月 8 日 (土) 18 時 27 分 58 秒 (日本時間)
5043e60--
5511e73200 / 17508Youcef LemsaferJune 11, 2019 18:35:44 UTC 2019 年 6 月 12 日 (水) 3 時 35 分 44 秒 (日本時間)

103×10268-13

c226

composite cofactor 合成数の残り
1208512932986476721093945956167252849912004806679305551966343195185275933113610147168436326545101551527926490505688816922331780535644315183737888602024622994889242443348234160262325475985609551256202829179242534200228642793191<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e624401000Dmitry DomanovMarch 10, 2017 11:56:18 UTC 2017 年 3 月 10 日 (金) 20 時 56 分 18 秒 (日本時間)
1440Youcef LemsaferNovember 5, 2020 11:36:12 UTC 2020 年 11 月 5 日 (木) 20 時 36 分 12 秒 (日本時間)
4511e64320Youcef LemsaferNovember 6, 2020 07:24:41 UTC 2020 年 11 月 6 日 (金) 16 時 24 分 41 秒 (日本時間)
5043e60--
5511e73200 / 17479Youcef LemsaferJanuary 30, 2021 20:53:46 UTC 2021 年 1 月 31 日 (日) 5 時 53 分 46 秒 (日本時間)

103×10269-13

c201

composite cofactor 合成数の残り
458537736217111754253390380518152764156097581590965786748540698368564426946888974148879055407012562216231092933567734824599839755957205832245342042855809627099396590413396422769688537236794909411676867<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e624401000Dmitry DomanovMarch 10, 2017 09:28:11 UTC 2017 年 3 月 10 日 (金) 18 時 28 分 11 秒 (日本時間)
1440Youcef LemsaferNovember 6, 2020 08:43:02 UTC 2020 年 11 月 6 日 (金) 17 時 43 分 2 秒 (日本時間)
4511e64320Youcef LemsaferNovember 7, 2020 01:09:19 UTC 2020 年 11 月 7 日 (土) 10 時 9 分 19 秒 (日本時間)
5043e60--
5511e73200 / 17479Youcef LemsaferFebruary 2, 2021 14:44:58 UTC 2021 年 2 月 2 日 (火) 23 時 44 分 58 秒 (日本時間)

103×10270-13

c219

composite cofactor 合成数の残り
489763482985596410014537887452169873955899101045917798842459372915460083662095419758556022749316133116766501540631339762955709198116292156110330660024167708353141991595795156632648348059457928316407941139314513445569347<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e624401000Dmitry DomanovMarch 10, 2017 09:29:11 UTC 2017 年 3 月 10 日 (金) 18 時 29 分 11 秒 (日本時間)
1440Youcef LemsaferNovember 7, 2020 17:14:29 UTC 2020 年 11 月 8 日 (日) 2 時 14 分 29 秒 (日本時間)
4511e64320Youcef LemsaferNovember 7, 2020 17:14:29 UTC 2020 年 11 月 8 日 (日) 2 時 14 分 29 秒 (日本時間)
5043e60--
5511e73200 / 17479Youcef LemsaferFebruary 6, 2021 12:11:18 UTC 2021 年 2 月 6 日 (土) 21 時 11 分 18 秒 (日本時間)

103×10271-13

c237

composite cofactor 合成数の残り
449491862587633466677313615369987831492913968316524091869438260588244225554323537763898494822011423919205926561133432110793237665283187168636184371136135845659691223903965077035405170308276705435954854562460259647445799552359133587403647<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e624401000Dmitry DomanovMarch 10, 2017 11:56:44 UTC 2017 年 3 月 10 日 (金) 20 時 56 分 44 秒 (日本時間)
1440Youcef LemsaferNovember 7, 2020 22:55:36 UTC 2020 年 11 月 8 日 (日) 7 時 55 分 36 秒 (日本時間)
4511e64320Youcef LemsaferNovember 8, 2020 10:21:34 UTC 2020 年 11 月 8 日 (日) 19 時 21 分 34 秒 (日本時間)
5043e60--
5511e73200 / 17479Youcef LemsaferFebruary 9, 2021 08:19:52 UTC 2021 年 2 月 9 日 (火) 17 時 19 分 52 秒 (日本時間)

103×10272-13

c234

composite cofactor 合成数の残り
834227726680245049145395666571402811139304705912006977941237568700194695395694694434682316993029198539548079495642126867066895523751142235513119268385929701599611717821949865319258524627718044432627392701120898989013092802698078268443<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e624401000Dmitry DomanovMarch 10, 2017 11:57:03 UTC 2017 年 3 月 10 日 (金) 20 時 57 分 3 秒 (日本時間)
1440Youcef LemsaferNovember 8, 2020 13:22:27 UTC 2020 年 11 月 8 日 (日) 22 時 22 分 27 秒 (日本時間)
4511e64320Youcef LemsaferNovember 8, 2020 22:56:00 UTC 2020 年 11 月 9 日 (月) 7 時 56 分 0 秒 (日本時間)
5043e60--
5511e73200 / 17479Youcef LemsaferFebruary 12, 2021 19:58:13 UTC 2021 年 2 月 13 日 (土) 4 時 58 分 13 秒 (日本時間)

103×10273-13

c260

composite cofactor 合成数の残り
13328386062549257999487933801073687978004762593796436518209147311234662690392582600126313095933219969916614381575707428393215442957909318870969921456909407454377967327164174084205149129833221080063905492742870253969971735997467246821948336524061636176483353341<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e62160Youcef LemsaferNovember 9, 2020 08:57:14 UTC 2020 年 11 月 9 日 (月) 17 時 57 分 14 秒 (日本時間)
4511e64320Youcef LemsaferNovember 9, 2020 15:41:17 UTC 2020 年 11 月 10 日 (火) 0 時 41 分 17 秒 (日本時間)
5043e60--
5511e73200 / 17481Youcef LemsaferFebruary 17, 2021 07:55:28 UTC 2021 年 2 月 17 日 (水) 16 時 55 分 28 秒 (日本時間)

103×10274-13

c237

composite cofactor 合成数の残り
251044461738497250931844566930441091418141772876868380416325530985192889185483451294232781443346657598620678713066806529992697475206379044170755746279237881183767324401363034599939311208284045077116031144268297625259463383073875086330859<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e624401000Dmitry DomanovMarch 10, 2017 16:33:04 UTC 2017 年 3 月 11 日 (土) 1 時 33 分 4 秒 (日本時間)
1440Youcef LemsaferNovember 9, 2020 22:04:02 UTC 2020 年 11 月 10 日 (火) 7 時 4 分 2 秒 (日本時間)
4511e64320Youcef LemsaferNovember 10, 2020 08:42:58 UTC 2020 年 11 月 10 日 (火) 17 時 42 分 58 秒 (日本時間)
5043e60--
5511e73200 / 17479Youcef LemsaferFebruary 20, 2021 18:13:34 UTC 2021 年 2 月 21 日 (日) 3 時 13 分 34 秒 (日本時間)

103×10275-13

c249

composite cofactor 合成数の残り
900464372013212052417637417540452887902378399878102199032501417668276515617016202673799044209462067813971118035692422510711001941252755285248061184026401505507727879124724945582022215826818041212260050427554621344639768860578959497991972135284342507<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e624401000Dmitry DomanovMarch 12, 2017 17:51:58 UTC 2017 年 3 月 13 日 (月) 2 時 51 分 58 秒 (日本時間)
1440Youcef LemsaferNovember 10, 2020 10:13:30 UTC 2020 年 11 月 10 日 (火) 19 時 13 分 30 秒 (日本時間)
4511e64320Youcef LemsaferNovember 10, 2020 22:02:08 UTC 2020 年 11 月 11 日 (水) 7 時 2 分 8 秒 (日本時間)
5043e60--
5511e73200 / 17479Youcef LemsaferFebruary 24, 2021 08:38:21 UTC 2021 年 2 月 24 日 (水) 17 時 38 分 21 秒 (日本時間)

103×10276-13

c245

name 名前Youcef Lemsafer
date 日付February 27, 2021 10:10:28 UTC 2021 年 2 月 27 日 (土) 19 時 10 分 28 秒 (日本時間)
composite number 合成数
58631425324036650732553552906145338579056726885118045515941671053611225147224409475267960491996279011156736120656047624550056351609272450210615434661646216319285102249281763013893280585574005895729289529318814928888127246268324061311471047384971<245>
prime factors 素因数
969721989856863511328051991224826209953293417189499<51>
60462097319965883253482854003742593362452590883983844006299874361410427631835502480557081081034498597281749151067760175600020432224243573880844927555023711394265346229999164381356815322115860529<194>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is (103*10^276-1)/(3*585579032806797119520985486949023) (245 digits)
[Sat Feb 27 01:49:41 2021]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:5723617606947177139
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35        40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+07 3.6e+08
Step 1 took 713085ms
Using 29 small primes for NTT
Estimated memory usage: 653.77MB
Initializing tables of differences for F took 556ms
Computing roots of F took 24763ms
Building F from its roots took 9666ms
Computing 1/F took 4293ms
Initializing table of differences for G took 469ms
Computing roots of G took 20828ms
Building G from its roots took 11006ms
Computing roots of G took 20826ms
Building G from its roots took 10993ms
Computing G * H took 2209ms
Reducing  G * H mod F took 2332ms
Computing roots of G took 20828ms
Building G from its roots took 11001ms
Computing G * H took 2198ms
Reducing  G * H mod F took 2332ms
Computing roots of G took 20823ms
Building G from its roots took 7559ms
Computing G * H took 1380ms
Reducing  G * H mod F took 1737ms
Computing polyeval(F,G) took 12485ms
Computing product of all F(g_i) took 58ms
Step 2 took 188744ms
********** Factor found in step 2: 969721989856863511328051991224826209953293417189499
Found prime factor of 51 digits: 969721989856863511328051991224826209953293417189499
Prime cofactor ((103*10^276-1)/(3*585579032806797119520985486949023))/969721989856863511328051991224826209953293417189499 has 194 digits
execution environment 実行環境
Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz, 64GB RAM, Debian Linux

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e624401000Dmitry DomanovMarch 12, 2017 17:52:12 UTC 2017 年 3 月 13 日 (月) 2 時 52 分 12 秒 (日本時間)
1440Youcef LemsaferNovember 11, 2020 11:46:56 UTC 2020 年 11 月 11 日 (水) 20 時 46 分 56 秒 (日本時間)
4511e64320Youcef LemsaferNovember 11, 2020 11:46:56 UTC 2020 年 11 月 11 日 (水) 20 時 46 分 56 秒 (日本時間)
5043e60--
5511e72907 / 17479Youcef LemsaferFebruary 27, 2021 10:08:24 UTC 2021 年 2 月 27 日 (土) 19 時 8 分 24 秒 (日本時間)

103×10277-13

c242

composite cofactor 合成数の残り
34734310121630264103241054953600913530897994248193715977350654556289794007800495205802126636301590332234655118843212074777178293613892192235444436135003917937031183394549644478068418964282240222263869046621119793100258665966483554865837510161<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e624401000Dmitry DomanovMarch 12, 2017 17:52:27 UTC 2017 年 3 月 13 日 (月) 2 時 52 分 27 秒 (日本時間)
1440Youcef LemsaferNovember 11, 2020 21:00:57 UTC 2020 年 11 月 12 日 (木) 6 時 0 分 57 秒 (日本時間)
4511e64320Youcef LemsaferNovember 12, 2020 07:56:39 UTC 2020 年 11 月 12 日 (木) 16 時 56 分 39 秒 (日本時間)
5043e60--
5511e73200 / 17479Youcef LemsaferMarch 2, 2021 18:18:10 UTC 2021 年 3 月 3 日 (水) 3 時 18 分 10 秒 (日本時間)

103×10278-13

c248

name 名前Youcef Lemsafer
date 日付March 3, 2021 11:44:19 UTC 2021 年 3 月 3 日 (水) 20 時 44 分 19 秒 (日本時間)
composite number 合成数
76601806701907748274708010403826181901748823058247910910586162268717285188088711504185470265543284002873738550751531805853353671092390545977322968740787361826882617424994040493099073588325353872241866190137392129450844696545215764174498299719599723<248>
prime factors 素因数
2484272093158219897481628375187635720514672283<46>
composite cofactor 合成数の残り
30834708852090737470299456027744015460865626279254980417752333664322511136448673722049473358301961056031909087114874832912123162372462677119160239723441110292154185502335051290013503231923567321602925681<203>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Running on *********
Input number is (103*10^278-1)/(3*709*104333512458619*605908288556201) (248 digits)
[Wed Mar  3 12:17:18 2021]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:6519904621953323740
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35 40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+07 3.6e+08
Step 1 took 867639ms
Using 30 small primes for NTT
Estimated memory usage: 660.77MB
Initializing tables of differences for F took 557ms
Computing roots of F took 24796ms
Building F from its roots took 9902ms
Computing 1/F took 4436ms
Initializing table of differences for G took 470ms
Computing roots of G took 20799ms
Building G from its roots took 11401ms
Computing roots of G took 20806ms
Building G from its roots took 11359ms
Computing G * H took 2298ms
Reducing  G * H mod F took 2418ms
Computing roots of G took 20816ms
Building G from its roots took 11399ms
Computing G * H took 2261ms
Reducing  G * H mod F took 2412ms
Computing roots of G took 20834ms
Building G from its roots took 11265ms
Computing G * H took 2237ms
Reducing  G * H mod F took 2399ms
Computing polyeval(F,G) took 20013ms
Computing product of all F(g_i) took 109ms
Step 2 took 203443ms
********** Factor found in step 2: 2484272093158219897481628375187635720514672283
Found prime factor of 46 digits: 2484272093158219897481628375187635720514672283
Composite cofactor ((103*10^278-1)/(3*709*104333512458619*605908288556201))/2484272093158219897481628375187635720514672283 has 203 digits
execution environment 実行環境
Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz, 64GB RAM, Debian Linux

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e624401000Dmitry DomanovMarch 12, 2017 17:52:41 UTC 2017 年 3 月 13 日 (月) 2 時 52 分 41 秒 (日本時間)
1440Youcef LemsaferNovember 12, 2020 18:11:23 UTC 2020 年 11 月 13 日 (金) 3 時 11 分 23 秒 (日本時間)
4511e64320Youcef LemsaferNovember 13, 2020 09:13:48 UTC 2020 年 11 月 13 日 (金) 18 時 13 分 48 秒 (日本時間)
5043e60--
5511e73200 / 17479Youcef LemsaferMarch 5, 2021 22:50:53 UTC 2021 年 3 月 6 日 (土) 7 時 50 分 53 秒 (日本時間)

103×10279-13

c242

composite cofactor 合成数の残り
17901469163892131648501255884101101755943232386217400730490827168990721628971743748256917499498781643067649199906656221952684430763139750685863096710905891425564812578874405001835562484361635076162733138490789179434582638477360712950884279403<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e624401000Dmitry DomanovMarch 12, 2017 17:52:58 UTC 2017 年 3 月 13 日 (月) 2 時 52 分 58 秒 (日本時間)
1440Youcef LemsaferNovember 13, 2020 18:26:53 UTC 2020 年 11 月 14 日 (土) 3 時 26 分 53 秒 (日本時間)
4511e64320Youcef LemsaferNovember 14, 2020 10:08:15 UTC 2020 年 11 月 14 日 (土) 19 時 8 分 15 秒 (日本時間)
5043e60--
5511e73200 / 17479320Youcef LemsaferNovember 14, 2020 10:08:15 UTC 2020 年 11 月 14 日 (土) 19 時 8 分 15 秒 (日本時間)
2880Youcef LemsaferMarch 9, 2021 08:18:31 UTC 2021 年 3 月 9 日 (火) 17 時 18 分 31 秒 (日本時間)

103×10280-13

c261

name 名前Youcef Lemsafer
date 日付March 11, 2021 10:15:38 UTC 2021 年 3 月 11 日 (木) 19 時 15 分 38 秒 (日本時間)
composite number 合成数
136639613898765697623689683236032189875487900604095799017189669676313462382092772934376497641801091571422848225332078978295213552545011062715406242708809188344923706157388325812046376589254310073439379747661464196810677304127663304242907532963904791056500073123<261>
prime factors 素因数
203779533578642245406258966436778180884439514007491<51>
670526679000538461740494203343875190080242355808521292093913876895781930690615339343082820668703874843612835191961755180567546776979751859195715771025592014376288575383476048725985186406147423179503177513397153<210>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is (103*10^280-1)/(3*509*19919*247830087305501) (261 digits)
[Thu Mar 11 09:41:39 2021]
Using MODMULN [mulredc:0, sqrredc:2]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:6925520144078588860
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35        40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+07 3.6e+08
Step 1 took 987039ms
Using 31 small primes for NTT
Estimated memory usage: 697.82MB
Initializing tables of differences for F took 696ms
Computing roots of F took 28354ms
Building F from its roots took 10772ms
Computing 1/F took 4684ms
Initializing table of differences for G took 580ms
Computing roots of G took 23823ms
Building G from its roots took 12107ms
Computing roots of G took 23627ms
Building G from its roots took 12098ms
Computing G * H took 2409ms
Reducing  G * H mod F took 2537ms
Computing roots of G took 23627ms
Building G from its roots took 12097ms
Computing G * H took 2415ms
Reducing  G * H mod F took 2543ms
Computing roots of G took 23389ms
Building G from its roots took 12699ms
Computing G * H took 2382ms
Reducing  G * H mod F took 2556ms
Computing polyeval(F,G) took 21076ms
Computing product of all F(g_i) took 120ms
Step 2 took 225040ms
********** Factor found in step 2: 203779533578642245406258966436778180884439514007491
Found prime factor of 51 digits: 203779533578642245406258966436778180884439514007491
Prime cofactor ((103*10^280-1)/(3*509*19919*247830087305501))/203779533578642245406258966436778180884439514007491 has 210 digits
execution environment 実行環境
Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz, 64GB RAM, Debian Linux.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e61440Youcef LemsaferNovember 14, 2020 12:18:23 UTC 2020 年 11 月 14 日 (土) 21 時 18 分 23 秒 (日本時間)
4511e64320Youcef LemsaferNovember 15, 2020 10:30:19 UTC 2020 年 11 月 15 日 (日) 19 時 30 分 19 秒 (日本時間)
5043e60 / 1382--
5511e72133 / 17487320Youcef LemsaferNovember 15, 2020 15:18:14 UTC 2020 年 11 月 16 日 (月) 0 時 18 分 14 秒 (日本時間)
1813Youcef LemsaferMarch 11, 2021 10:14:04 UTC 2021 年 3 月 11 日 (木) 19 時 14 分 4 秒 (日本時間)

103×10281-13

c229

composite cofactor 合成数の残り
5486141918073648467870002750843532899692676002350197821279663207552792666858906824152685917795967302392027083072405219318845965772783111722229528638502105064393497812862153482447146782599044798573112170660806013095684642306812643<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e624401000Dmitry DomanovMarch 10, 2017 16:33:28 UTC 2017 年 3 月 11 日 (土) 1 時 33 分 28 秒 (日本時間)
1440Youcef LemsaferNovember 15, 2020 20:48:49 UTC 2020 年 11 月 16 日 (月) 5 時 48 分 49 秒 (日本時間)
4511e64320Youcef LemsaferNovember 16, 2020 16:15:46 UTC 2020 年 11 月 17 日 (火) 1 時 15 分 46 秒 (日本時間)
5043e60--
5511e73200 / 17479320Youcef LemsaferNovember 16, 2020 16:15:46 UTC 2020 年 11 月 17 日 (火) 1 時 15 分 46 秒 (日本時間)
2880Youcef LemsaferMarch 14, 2021 23:27:56 UTC 2021 年 3 月 15 日 (月) 8 時 27 分 56 秒 (日本時間)

103×10282-13

c284

name 名前Dmitry Domanov
date 日付March 11, 2017 17:03:20 UTC 2017 年 3 月 12 日 (日) 2 時 3 分 20 秒 (日本時間)
composite number 合成数
34333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<284>
prime factors 素因数
278789519184205711748709644712162973019<39>
123151449286184008103571095163511053759251545098996055113141859561242880991724906707989352458037930766985992391742983237515643626866222078218513514017339688736249747391863040917398637766000206313767203659803034584578333850983250446208047133953807<246>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3410150068
Step 1 took 136612ms
********** Factor found in step 1: 278789519184205711748709644712162973019
Found probable prime factor of 39 digits: 278789519184205711748709644712162973019

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMarch 9, 2017 14:04:10 UTC 2017 年 3 月 9 日 (木) 23 時 4 分 10 秒 (日本時間)
4511e62000 / 4173Dmitry DomanovMarch 10, 2017 19:37:21 UTC 2017 年 3 月 11 日 (土) 4 時 37 分 21 秒 (日本時間)

103×10283-13

c235

composite cofactor 合成数の残り
6264817702661588295256176750216645426810600305004239083516964166265059266689303778410048461744422483059046568495327240303695493280078902811040205464113084773320636160771288257504628025644124509162825314357392416878983582244515473682687<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e62440100Dmitry DomanovMarch 10, 2017 16:33:41 UTC 2017 年 3 月 11 日 (土) 1 時 33 分 41 秒 (日本時間)
900Dmitry DomanovMarch 10, 2017 16:33:52 UTC 2017 年 3 月 11 日 (土) 1 時 33 分 52 秒 (日本時間)
1440Youcef LemsaferNovember 17, 2020 08:37:50 UTC 2020 年 11 月 17 日 (火) 17 時 37 分 50 秒 (日本時間)
4511e64320Youcef LemsaferNovember 17, 2020 08:37:50 UTC 2020 年 11 月 17 日 (火) 17 時 37 分 50 秒 (日本時間)
5043e60--
5511e73200 / 17479320Youcef LemsaferNovember 17, 2020 13:07:28 UTC 2020 年 11 月 17 日 (火) 22 時 7 分 28 秒 (日本時間)
2880Youcef LemsaferMarch 17, 2021 17:13:12 UTC 2021 年 3 月 18 日 (木) 2 時 13 分 12 秒 (日本時間)

103×10284-13

c202

composite cofactor 合成数の残り
1074009331456964004641070132506739640526200203515888988728017611683272038335154265902572081636646001515575146031535243592063743812178314128369486386785301998383924973902119428906237192256983124511151333<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e624401000Dmitry DomanovMarch 10, 2017 07:26:24 UTC 2017 年 3 月 10 日 (金) 16 時 26 分 24 秒 (日本時間)
1440Youcef LemsaferNovember 18, 2020 10:12:56 UTC 2020 年 11 月 18 日 (水) 19 時 12 分 56 秒 (日本時間)
4511e64320Youcef LemsaferNovember 18, 2020 10:12:56 UTC 2020 年 11 月 18 日 (水) 19 時 12 分 56 秒 (日本時間)
5043e60--
5511e73200 / 17479320Youcef LemsaferNovember 18, 2020 10:12:56 UTC 2020 年 11 月 18 日 (水) 19 時 12 分 56 秒 (日本時間)
2880Youcef LemsaferMarch 21, 2021 09:26:21 UTC 2021 年 3 月 21 日 (日) 18 時 26 分 21 秒 (日本時間)

103×10285-13

c261

composite cofactor 合成数の残り
179033887699592173981189783881153442778207633072489153983962653554521682417810779073917905578243186740388564303493250430850752876009873570940604460974845959450579976953504874094732769993134186640343773944133224015882041610799881701612885795848941569954132989717<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e62160Youcef LemsaferNovember 18, 2020 13:17:50 UTC 2020 年 11 月 18 日 (水) 22 時 17 分 50 秒 (日本時間)
4511e64320Youcef LemsaferNovember 19, 2020 08:53:13 UTC 2020 年 11 月 19 日 (木) 17 時 53 分 13 秒 (日本時間)
5043e60--
5511e73200 / 17481320Youcef LemsaferNovember 19, 2020 16:55:03 UTC 2020 年 11 月 20 日 (金) 1 時 55 分 3 秒 (日本時間)
2880Youcef LemsaferMarch 24, 2021 09:03:01 UTC 2021 年 3 月 24 日 (水) 18 時 3 分 1 秒 (日本時間)

103×10286-13

c255

name 名前Youcef Lemsafer
date 日付November 20, 2020 10:43:58 UTC 2020 年 11 月 20 日 (金) 19 時 43 分 58 秒 (日本時間)
composite number 合成数
304286802781511346269655154981658960916819320878763255137533104071447189232300938109197951582453176005066819032647919681261826989708982797074017149340941273751500519994646070185609720026163088026195725721863866976472607635757200318828698498776217099093453<255>
prime factors 素因数
42010916546178371843382678844466221253227<41>
composite cofactor 合成数の残り
7243041280640461455661631424377767532431119314958276466807053358383981443348877202229526107828320573573941032048779297645348646772768087253679335752386018974294386832469446362210101309864882545999152777174856668839<214>
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 (103*10^286-1)/(3*43*47*9283691*60137568222544788641951) (255 digits)
[Fri Nov 20 02:37:33 2020]
Using MODMULN [mulredc:0, sqrredc:2]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:8646756833320245055
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits:
35        40      45      50      55      60      65      70      75      80
122     686     4482    33676   284176  2657998 2.7e+07 3e+08   3.7e+09 4.4e+10
Step 1 took 91528ms
********** Factor found in step 1: 42010916546178371843382678844466221253227
Found prime factor of 41 digits: 42010916546178371843382678844466221253227
Composite cofactor ((103*10^286-1)/(3*43*47*9283691*60137568222544788641951))/42010916546178371843382678844466221253227 has 214 digits
execution environment 実行環境
Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz, 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e62160Youcef LemsaferNovember 20, 2020 10:38:07 UTC 2020 年 11 月 20 日 (金) 19 時 38 分 7 秒 (日本時間)
4511e64320Youcef LemsaferNovember 20, 2020 10:38:07 UTC 2020 年 11 月 20 日 (金) 19 時 38 分 7 秒 (日本時間)
5043e60--
5511e73200 / 17481320Youcef LemsaferNovember 20, 2020 18:56:08 UTC 2020 年 11 月 21 日 (土) 3 時 56 分 8 秒 (日本時間)
2880Youcef LemsaferMarch 29, 2021 08:36:02 UTC 2021 年 3 月 29 日 (月) 17 時 36 分 2 秒 (日本時間)

103×10287-13

c266

composite cofactor 合成数の残り
12622697705436366975389575470188545974131857774777716005189063248516638729231892561408122056704467573060899126215539181946673492932638109977496863932915503791086245318876927601420778928007680228129265571607468389040252397142547936288077079845725290496238091954960747<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e62160Youcef LemsaferNovember 21, 2020 08:43:24 UTC 2020 年 11 月 21 日 (土) 17 時 43 分 24 秒 (日本時間)
4511e64320Youcef LemsaferNovember 22, 2020 00:01:28 UTC 2020 年 11 月 22 日 (日) 9 時 1 分 28 秒 (日本時間)
5043e60--
5511e73200 / 17481320Youcef LemsaferNovember 22, 2020 00:01:28 UTC 2020 年 11 月 22 日 (日) 9 時 1 分 28 秒 (日本時間)
2880Youcef LemsaferMarch 31, 2021 09:31:40 UTC 2021 年 3 月 31 日 (水) 18 時 31 分 40 秒 (日本時間)

103×10288-13

c286

name 名前Youcef Lemsafer
date 日付November 22, 2020 13:02:58 UTC 2020 年 11 月 22 日 (日) 22 時 2 分 58 秒 (日本時間)
composite number 合成数
6452421224080686587734135187621374428365595439453736766272004009271440205475161310530602017164693353379690534360709139885986343419156800100231786005136879032763265050429117333834492263359017728497149658585478920002505794650128421975819081626260727933345862306583975443212428741464636973<286>
prime factors 素因数
196595087433791851144680673386848685911<39>
composite cofactor 合成数の残り
32820867033382486924252192783620874376233372260217669372552812719593707753971231458461947757715162363127326748570643663493684527736423014818586991400339560009548314939975984599887803237996587710349723860083670692673553009536344321671433090615074843<248>
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 (103*10^288-1)/(3*17*313) (286 digits)
[Sun Nov 22 02:22:08 2020]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:4050718170029678159
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
35   40      45      50      55      60      65      70      75      80
324     2351    20272   201449  2247436 2.8e+07 3.9e+08 6e+09   1.1e+11 7.4e+15
Step 1 took 24144ms
Using 34 small primes for NTT
Estimated memory usage: 87.99MB
Initializing tables of differences for F took 16ms
Computing roots of F took 656ms
Building F from its roots took 916ms
Computing 1/F took 496ms
Initializing table of differences for G took 20ms
Computing roots of G took 604ms
Building G from its roots took 1032ms
Computing roots of G took 464ms
Building G from its roots took 1096ms
Computing G * H took 236ms
Reducing  G * H mod F took 268ms
Computing polyeval(F,G) took 1972ms
Computing product of all F(g_i) took 16ms
Step 2 took 7836ms
********** Factor found in step 2: 196595087433791851144680673386848685911
Found prime factor of 39 digits: 196595087433791851144680673386848685911
Composite cofactor ((103*10^288-1)/(3*17*313))/196595087433791851144680673386848685911 has 248 digits
execution environment 実行環境
Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz, 64 GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e62160Youcef LemsaferNovember 22, 2020 13:01:10 UTC 2020 年 11 月 22 日 (日) 22 時 1 分 10 秒 (日本時間)
4511e64320Youcef LemsaferNovember 24, 2020 08:23:32 UTC 2020 年 11 月 24 日 (火) 17 時 23 分 32 秒 (日本時間)
5043e60--
5511e73200 / 17481320Youcef LemsaferNovember 24, 2020 08:23:32 UTC 2020 年 11 月 24 日 (火) 17 時 23 分 32 秒 (日本時間)
2880Youcef LemsaferApril 3, 2021 09:08:47 UTC 2021 年 4 月 3 日 (土) 18 時 8 分 47 秒 (日本時間)

103×10290-13

c254

composite cofactor 合成数の残り
24228111949701249571871618667538674972444317654218349612433393102254205167786003453875142809873389369796900370944775048503286447616997599705667103883314404436632567933464244471876002837470447106377786786669797951316850595825987670873569113150307014841169<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e62160Youcef LemsaferNovember 23, 2020 13:59:52 UTC 2020 年 11 月 23 日 (月) 22 時 59 分 52 秒 (日本時間)
4511e64320Youcef LemsaferNovember 24, 2020 08:24:24 UTC 2020 年 11 月 24 日 (火) 17 時 24 分 24 秒 (日本時間)
5043e60--
5511e73200 / 17481320Youcef LemsaferNovember 24, 2020 13:07:41 UTC 2020 年 11 月 24 日 (火) 22 時 7 分 41 秒 (日本時間)
2880Youcef LemsaferApril 6, 2021 21:12:22 UTC 2021 年 4 月 7 日 (水) 6 時 12 分 22 秒 (日本時間)

103×10291-13

c258

name 名前Youcef Lemsafer
date 日付November 25, 2020 07:44:08 UTC 2020 年 11 月 25 日 (水) 16 時 44 分 8 秒 (日本時間)
composite number 合成数
328079331523855280316108502111906006622943586984661758722040586915472119124370854599938900197833070478694245185654156613997749146189773043059773415817968652217332820773442878139727158124022249785931883068396679674906529227374962402268783978867058948403297927<258>
prime factors 素因数
10789854021328840620437368206740764581880710798367<50>
composite cofactor 合成数の残り
30406280833394461367167574417511459809674997966208726210295670010362621109064645738294415710804591252899998599301807527792388034659165169801973101342210163948125269622482984687953598234858099557803878615830681<209>
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 (103*10^291-1)/(3*13*19*111922859*3785483433673029369589823) (258 digits)
[Tue Nov 24 21:21:01 2020]
Using MODMULN [mulredc:0, sqrredc:2]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:15780027162657372168
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits:
35   40      45      50      55      60      65      70      75      80
122     686     4482    33676   284176  2657998 2.7e+07 3e+08   3.7e+09 4.4e+10
Step 1 took 90820ms
Using 31 small primes for NTT
Estimated memory usage: 167.07MB
Initializing tables of differences for F took 68ms
Computing roots of F took 2348ms
Building F from its roots took 1992ms
Computing 1/F took 900ms
Initializing table of differences for G took 84ms
Computing roots of G took 2048ms
Building G from its roots took 2248ms
Computing roots of G took 1472ms
Building G from its roots took 1656ms
Computing G * H took 468ms
Reducing  G * H mod F took 460ms
Computing roots of G took 2204ms
Building G from its roots took 2172ms
Computing G * H took 460ms
Reducing  G * H mod F took 472ms
Computing polyeval(F,G) took 3832ms
Computing product of all F(g_i) took 16ms
Step 2 took 22992ms
********** Factor found in step 2: 10789854021328840620437368206740764581880710798367
Found prime factor of 50 digits: 10789854021328840620437368206740764581880710798367
Composite cofactor ((103*10^291-1)/(3*13*19*111922859*3785483433673029369589823))/10789854021328840620437368206740764581880710798367 has 209 digits
execution environment 実行環境
Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz, 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e62160Youcef LemsaferNovember 24, 2020 16:27:15 UTC 2020 年 11 月 25 日 (水) 1 時 27 分 15 秒 (日本時間)
4511e64320Youcef LemsaferNovember 25, 2020 07:42:40 UTC 2020 年 11 月 25 日 (水) 16 時 42 分 40 秒 (日本時間)
5043e60--
5511e73200 / 17481320Youcef LemsaferNovember 25, 2020 17:29:41 UTC 2020 年 11 月 26 日 (木) 2 時 29 分 41 秒 (日本時間)
2880Youcef LemsaferApril 10, 2021 13:25:21 UTC 2021 年 4 月 10 日 (土) 22 時 25 分 21 秒 (日本時間)

103×10292-13

c185

name 名前Dmitry Domanov
date 日付March 10, 2017 07:03:18 UTC 2017 年 3 月 10 日 (金) 16 時 3 分 18 秒 (日本時間)
composite number 合成数
90481644550770755372756991811292384683891029849541069224035326862921652335138024257657432702995719870621601144722959267081802926716337645180549045282471758999807024784047019397948066537<185>
prime factors 素因数
20106691253337352389010844810784902189<38>
composite cofactor 合成数の残り
4500076288571468218091922333593228681444950650830259741135067175184413217086821123089655806032815382481908458352374675386751585732939332985650258733<148>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1517788461
Step 1 took 26839ms
Step 2 took 9513ms
********** Factor found in step 2: 20106691253337352389010844810784902189
Found probable prime factor of 38 digits: 20106691253337352389010844810784902189
Composite cofactor 4500076288571468218091922333593228681444950650830259741135067175184413217086821123089655806032815382481908458352374675386751585732939332985650258733 has 148 digits

c148

name 名前Youcef Lemsafer
date 日付November 25, 2020 17:31:55 UTC 2020 年 11 月 26 日 (木) 2 時 31 分 55 秒 (日本時間)
composite number 合成数
4500076288571468218091922333593228681444950650830259741135067175184413217086821123089655806032815382481908458352374675386751585732939332985650258733<148>
prime factors 素因数
97217820980461488620651475727020687554239<41>
46288594448911567843780719327181894998609712211756105596602791342915425115205278894003473850364207296310547<107>
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 (103*10^292-1)/(3*29*67*263*1447*1637*1884731*170261761*488515789*114479721011*12718631658643*101024123676823*88509843570771037*1535956823883988267*20106691253337352389010844810784902189) (148 digits)
[Wed Nov 25 17:36:37 2020]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:13709473406792951417
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35        40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+07 3.6e+08
Step 1 took 397756ms
Using 19 small primes for NTT
Estimated memory usage: 433.51MB
Initializing tables of differences for F took 296ms
Computing roots of F took 14944ms
Building F from its roots took 5008ms
Computing 1/F took 2092ms
Initializing table of differences for G took 160ms
Computing roots of G took 10156ms
Building G from its roots took 5096ms
Computing roots of G took 11660ms
Building G from its roots took 5760ms
Computing G * H took 976ms
Reducing  G * H mod F took 1260ms
Computing roots of G took 11604ms
Building G from its roots took 5864ms
Computing G * H took 1268ms
Reducing  G * H mod F took 1356ms
Computing roots of G took 10912ms
Building G from its roots took 5712ms
Computing G * H took 1156ms
Reducing  G * H mod F took 1296ms
Computing polyeval(F,G) took 10352ms
Computing product of all F(g_i) took 28ms
Step 2 took 107308ms
********** Factor found in step 2: 97217820980461488620651475727020687554239
Found prime factor of 41 digits: 97217820980461488620651475727020687554239
Prime cofactor ((103*10^292-1)/(3*29*67*263*1447*1637*1884731*170261761*488515789*114479721011*12718631658643*101024123676823*88509843570771037*1535956823883988267*20106691253337352389010844810784902189))/97217820980461488620651475727020687554239 has 107 digits
execution environment 実行環境
Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz, 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMarch 9, 2017 14:04:38 UTC 2017 年 3 月 9 日 (木) 23 時 4 分 38 秒 (日本時間)
4511e64600600Dmitry DomanovMarch 10, 2017 07:03:07 UTC 2017 年 3 月 10 日 (金) 16 時 3 分 7 秒 (日本時間)
4000Robert BalfourApril 12, 2020 11:26:12 UTC 2020 年 4 月 12 日 (日) 20 時 26 分 12 秒 (日本時間)
5043e60 / 6357--
5511e747 / 17471Youcef LemsaferNovember 25, 2020 17:30:42 UTC 2020 年 11 月 26 日 (木) 2 時 30 分 42 秒 (日本時間)

103×10293-13

c230

composite cofactor 合成数の残り
67121865660196377663312029811537248646061501658382243744128069990035671713609634029825447408134386401465433082780446190687756161325367345735292443225959275450986150432893127410049692967054151774479250439959509172688904867331378349<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e624401000Dmitry DomanovMarch 10, 2017 16:34:08 UTC 2017 年 3 月 11 日 (土) 1 時 34 分 8 秒 (日本時間)
1440Youcef LemsaferNovember 26, 2020 07:46:04 UTC 2020 年 11 月 26 日 (木) 16 時 46 分 4 秒 (日本時間)
4511e64320Youcef LemsaferNovember 26, 2020 07:46:04 UTC 2020 年 11 月 26 日 (木) 16 時 46 分 4 秒 (日本時間)
5043e60--
5511e73200 / 17479320Youcef LemsaferNovember 26, 2020 13:30:28 UTC 2020 年 11 月 26 日 (木) 22 時 30 分 28 秒 (日本時間)
2880Youcef LemsaferApril 12, 2021 14:17:13 UTC 2021 年 4 月 12 日 (月) 23 時 17 分 13 秒 (日本時間)

103×10294-13

c287

composite cofactor 合成数の残り
54206898533370101188443779502278857224922026626242256270220761862412558529628972615120620582762398779820186528706089115698060621950260353023310849927503036050760470237308439247784510244753056808187074397989881474021793584627978663219537364888048910718242000264196002962553310846659300707<287>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e62160Youcef LemsaferNovember 26, 2020 15:59:12 UTC 2020 年 11 月 27 日 (金) 0 時 59 分 12 秒 (日本時間)
4511e64320Youcef LemsaferNovember 27, 2020 08:28:19 UTC 2020 年 11 月 27 日 (金) 17 時 28 分 19 秒 (日本時間)
5043e60--
5511e73200 / 17481320Youcef LemsaferNovember 27, 2020 16:48:39 UTC 2020 年 11 月 28 日 (土) 1 時 48 分 39 秒 (日本時間)
2880Youcef LemsaferApril 16, 2021 10:56:21 UTC 2021 年 4 月 16 日 (金) 19 時 56 分 21 秒 (日本時間)

103×10295-13

c238

name 名前Youcef Lemsafer
date 日付April 17, 2021 16:27:55 UTC 2021 年 4 月 18 日 (日) 1 時 27 分 55 秒 (日本時間)
composite number 合成数
6008725989633823078685768342123586565684810293624784686418776699493913016833152961941333088822388395130878894494783544269407798994223050481949200272961222645076866414218910894160285001554183866476551281838031765945704585371685259041016073<238>
prime factors 素因数
4334495225853294439822669624788958154392911743<46>
composite cofactor 合成数の残り
1386257378666494520202522427474195981662191176137693339637467340918044793609765176719496245760715839385981947623611155086326341304036458772571826392804958381118402176561348585739865417852648311<193>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is (103*10^295-1)/(3*7^3*49398966070380577144499*3372264192012278495707913678048953) (238 digits)
[Sat Apr 17 00:14:46 2021]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:14639250114751304627
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35  40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+07 3.6e+08
Step 1 took 525906ms
Using 28 small primes for NTT
Estimated memory usage: 646.77MB
Initializing tables of differences for F took 283ms
Computing roots of F took 12923ms
Building F from its roots took 5969ms
Computing 1/F took 2650ms
Initializing table of differences for G took 234ms
Computing roots of G took 10759ms
Building G from its roots took 6528ms
Computing roots of G took 10833ms
Building G from its roots took 6323ms
Computing G * H took 1377ms
Reducing  G * H mod F took 1375ms
Computing roots of G took 10960ms
Building G from its roots took 6301ms
Computing G * H took 1508ms
Reducing  G * H mod F took 1373ms
Computing roots of G took 10898ms
Building G from its roots took 6368ms
Computing G * H took 1355ms
Reducing  G * H mod F took 1387ms
Computing polyeval(F,G) took 11535ms
Computing product of all F(g_i) took 55ms
Step 2 took 111280ms
********** Factor found in step 2: 4334495225853294439822669624788958154392911743
Found prime factor of 46 digits: 4334495225853294439822669624788958154392911743
Composite cofactor ((103*10^295-1)/(3*7^3*49398966070380577144499*3372264192012278495707913678048953))/4334495225853294439822669624788958154392911743 has 193 digits
execution environment 実行環境
Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz, 64GB RAM, Debian Linux

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e622501000Dmitry DomanovMarch 10, 2017 16:34:20 UTC 2017 年 3 月 11 日 (土) 1 時 34 分 20 秒 (日本時間)
1250Youcef LemsaferNovember 27, 2020 18:07:36 UTC 2020 年 11 月 28 日 (土) 3 時 7 分 36 秒 (日本時間)
4511e64320Youcef LemsaferNovember 28, 2020 08:56:44 UTC 2020 年 11 月 28 日 (土) 17 時 56 分 44 秒 (日本時間)
5043e60--
5511e73200 / 17481320Youcef LemsaferNovember 28, 2020 13:52:36 UTC 2020 年 11 月 28 日 (土) 22 時 52 分 36 秒 (日本時間)
2880Youcef LemsaferApril 20, 2021 09:04:56 UTC 2021 年 4 月 20 日 (火) 18 時 4 分 56 秒 (日本時間)

103×10296-13

c221

composite cofactor 合成数の残り
93778010406627218015393886815171591264473629320044591872377560139559435166454847280301242948150180611702508919308686913981472737601965064199174358383958005721776633686320658185873881657819330113680860605822574380511186169<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e622501000Dmitry DomanovMarch 10, 2017 09:29:34 UTC 2017 年 3 月 10 日 (金) 18 時 29 分 34 秒 (日本時間)
1250Youcef LemsaferNovember 28, 2020 16:34:26 UTC 2020 年 11 月 29 日 (日) 1 時 34 分 26 秒 (日本時間)
4511e64320Youcef LemsaferNovember 29, 2020 08:27:37 UTC 2020 年 11 月 29 日 (日) 17 時 27 分 37 秒 (日本時間)
5043e60--
5511e73200 / 17481320Youcef LemsaferNovember 29, 2020 11:10:21 UTC 2020 年 11 月 29 日 (日) 20 時 10 分 21 秒 (日本時間)
2880Youcef LemsaferApril 22, 2021 09:39:58 UTC 2021 年 4 月 22 日 (木) 18 時 39 分 58 秒 (日本時間)

103×10299-13

c287

name 名前Youcef Lemsafer
date 日付November 29, 2020 13:48:59 UTC 2020 年 11 月 29 日 (日) 22 時 48 分 59 秒 (日本時間)
composite number 合成数
89007216143025400402337385450411157941405878598030932355765775769805573330986208485780968818188047138342827800859125886051159807749172183069893177580508792712240278771093805527894843104183495840750915336606206630501003795442347240039942799225741620813543637874456599416319439046563087829<287>
prime factors 素因数
1866689450219436569671380049236692123<37>
47681855239800202252682314406385375851985799477618806753252197551580173115044592506963579137467572011316234742347745147216394729680855851801563775969018523011565042903841472869160175983460198487155405535212768968944125003296804229411877119418803603023<251>
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 (103*10^299-1)/(3*31*3253*382511939) (287 digits)
[Sun Nov 29 12:45:35 2020]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:167800842347961168
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
35 40      45      50      55      60      65      70      75      80
324     2351    20272   201449  2247436 2.8e+07 3.9e+08 6e+09   1.1e+11 7.4e+15
Step 1 took 24832ms
********** Factor found in step 1: 1866689450219436569671380049236692123
Found prime factor of 37 digits: 1866689450219436569671380049236692123
Prime cofactor ((103*10^299-1)/(3*31*3253*382511939))/1866689450219436569671380049236692123 has 251 digits
execution environment 実行環境
Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz, 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e6576 / 2104Youcef LemsaferNovember 29, 2020 13:47:47 UTC 2020 年 11 月 29 日 (日) 22 時 47 分 47 秒 (日本時間)

103×10300-13

c283

name 名前Dmitry Domanov
date 日付March 11, 2017 17:02:31 UTC 2017 年 3 月 12 日 (日) 2 時 2 分 31 秒 (日本時間)
composite number 合成数
6566157577741941168040713077155966825762580047928758410379791538784144996366347996109039501926909168465607868908897921666824713982414595212552501626290043246789872454180049081263404614668567005863647403330660213886586650645648471702058103860556947125050965860227770588209774650888753<283>
prime factors 素因数
25172613702819168246670434238633121767327739<44>
composite cofactor 合成数の残り
260845284294279478227743916918328880637079385402755960400334455649129023919875634828811099491659968657129405993871445055059242689864203036604537736207886269777854148955971119473316641701852968006032457855915986753129411672840072167637228227<240>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1235284019
Step 1 took 125137ms
Step 2 took 35239ms
********** Factor found in step 2: 25172613702819168246670434238633121767327739
Found probable prime factor of 44 digits: 25172613702819168246670434238633121767327739

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMarch 9, 2017 14:02:14 UTC 2017 年 3 月 9 日 (木) 23 時 2 分 14 秒 (日本時間)
4511e62000Dmitry DomanovMarch 10, 2017 19:38:14 UTC 2017 年 3 月 11 日 (土) 4 時 38 分 14 秒 (日本時間)
5043e6620Dmitry DomanovMarch 12, 2017 17:58:15 UTC 2017 年 3 月 13 日 (月) 2 時 58 分 15 秒 (日本時間)
5511e73200 / 17413Youcef LemsaferApril 26, 2021 07:57:47 UTC 2021 年 4 月 26 日 (月) 16 時 57 分 47 秒 (日本時間)