Table of contents 目次

10106+7199

c101

name 名前Dmitry Domanov
date 日付December 6, 2014 15:25:01 UTC 2014 年 12 月 7 日 (日) 0 時 25 分 1 秒 (日本時間)
composite number 合成数
42188218518096636333337552155185142996966667088548851847633030000042188218518096636333337552155185143<101>
prime factors 素因数
2467427043184802335820757601971602429<37>
17098061170490654580632592348688996168575605474113500367843185667<65>
factorization results 素因数分解の結果
N=42188218518096636333337552155185142996966667088548851847633030000042188218518096636333337552155185143
  ( 101 digits)
SNFS difficulty: 106 digits.
Divisors found:
 r1=2467427043184802335820757601971602429 (pp37)
 r2=17098061170490654580632592348688996168575605474113500367843185667 (pp65)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 0.31 hours.
Scaled time: 0.49 units (timescale=1.561).
Factorization parameters were as follows:
n: 42188218518096636333337552155185142996966667088548851847633030000042188218518096636333337552155185143
m: 1000000000000000000000
deg: 5
c5: 10
c0: 719
skew: 2.35
# Murphy_E = 4.072e-08
type: snfs
lss: 1
rlim: 410000
alim: 410000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 410000/410000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [205000, 405001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 54589 x 54815
Total sieving time: 0.29 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,106.000,5,0,0,0,0,0,0,0,0,410000,410000,25,25,44,44,2.2,2.2,50000
total time: 0.31 hours.
 --------- CPU info (if available) ----------

ECM

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

10111+7199

c95

name 名前KTakahashi
date 日付December 6, 2014 17:26:55 UTC 2014 年 12 月 7 日 (日) 2 時 26 分 55 秒 (日本時間)
composite number 合成数
20059217488058823366911172442650926082483180642078060724570863290204769321921382756120150408319<95>
prime factors 素因数
21975116845492245123776517000636029605084751<44>
912815054822953984946821760874277822206461865935569<51>
factorization results 素因数分解の結果
Number: 11191_111
N=20059217488058823366911172442650926082483180642078060724570863290204769321921382756120150408319
  ( 95 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=21975116845492245123776517000636029605084751 (pp44)
 r2=912815054822953984946821760874277822206461865935569 (pp51)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.49 hours.
Scaled time: 2.61 units (timescale=1.751).
Factorization parameters were as follows:
n: 20059217488058823366911172442650926082483180642078060724570863290204769321921382756120150408319
m: 10000000000000000000000
c5: 10
c0: 719
skew: 2.35
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 : 84098 x 84324
Total sieving time: 1.42 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.03 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: 1.49 hours.
 --------- CPU info (if available) ----------

ECM

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

10114+7199

c114

name 名前KTakahashi
date 日付December 6, 2014 17:27:40 UTC 2014 年 12 月 7 日 (日) 2 時 27 分 40 秒 (日本時間)
composite number 合成数
111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111191<114>
prime factors 素因数
7197630062490532218468125088725621578265875040521249<52>
15437180036544461812448885474318989661323373269749413526517559<62>
factorization results 素因数分解の結果
Number: 11191_114
N=111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111191
  ( 114 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=7197630062490532218468125088725621578265875040521249 (pp52)
 r2=15437180036544461812448885474318989661323373269749413526517559 (pp62)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.57 hours.
Scaled time: 2.73 units (timescale=1.742).
Factorization parameters were as follows:
n: 111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111191
m: 100000000000000000000000
c5: 1
c0: 7190
skew: 5.91
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 114005 x 114252
Total sieving time: 1.50 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,115.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.57 hours.
 --------- CPU info (if available) ----------

ECM

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

10116+7199

c114

name 名前KTakahashi
date 日付December 6, 2014 17:28:21 UTC 2014 年 12 月 7 日 (日) 2 時 28 分 21 秒 (日本時間)
composite number 合成数
122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122101<114>
prime factors 素因数
22370509439961494911382020487115700944214871054827<50>
5458084109698856466204305733559811964250700742644848941886684063<64>
factorization results 素因数分解の結果
Number: 11191_116
N=122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122101
  ( 114 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=22370509439961494911382020487115700944214871054827 (pp50)
 r2=5458084109698856466204305733559811964250700742644848941886684063 (pp64)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.88 hours.
Scaled time: 3.90 units (timescale=2.074).
Factorization parameters were as follows:
n: 122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122101
m: 100000000000000000000000
c5: 10
c0: 719
skew: 2.35
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 94734 x 94961
Total sieving time: 1.83 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 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: 1.88 hours.
 --------- CPU info (if available) ----------

ECM

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

10132+7199

c121

name 名前Dmitry Domanov
date 日付December 8, 2014 12:57:37 UTC 2014 年 12 月 8 日 (月) 21 時 57 分 37 秒 (日本時間)
composite number 合成数
4038985469249380426583140376722682895735732684066073414339262013129002258345810382158429390994275922412697282017896461651<121>
prime factors 素因数
47091949702189142034906583698108438519890551<44>
85768066406085156146357646287836731965096414828700246458277935095809103716101<77>
factorization results 素因数分解の結果
N=4038985469249380426583140376722682895735732684066073414339262013129002258345810382158429390994275922412697282017896461651
  ( 121 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=47091949702189142034906583698108438519890551 (pp44)
 r2=85768066406085156146357646287836731965096414828700246458277935095809103716101 (pp77)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 3.01 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 4038985469249380426583140376722682895735732684066073414339262013129002258345810382158429390994275922412697282017896461651
m: 100000000000000000000000000
deg: 5
c5: 100
c0: 719
skew: 1.48
# Murphy_E = 4.658e-09
type: snfs
lss: 1
rlim: 1110000
alim: 1110000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1110000/1110000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [555000, 1155001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 198674 x 198901
Total sieving time: 2.86 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,132.000,5,0,0,0,0,0,0,0,0,1110000,1110000,26,26,47,47,2.3,2.3,50000
total time: 3.01 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 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10139+7199

c138

name 名前Dmitry Domanov
date 日付December 8, 2014 20:31:30 UTC 2014 年 12 月 9 日 (火) 5 時 31 分 30 秒 (日本時間)
composite number 合成数
370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370397<138>
prime factors 素因数
10549289999500405931839150830335541741643<41>
27401349024610560842885583072054840670687<41>
1281271187410159012580837972298617431133940916735821699817<58>
factorization results 素因数分解の結果
N=370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370397
  ( 138 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=10549289999500405931839150830335541741643 (pp41)
 r2=27401349024610560842885583072054840670687 (pp41)
 r3=1281271187410159012580837972298617431133940916735821699817 (pp58)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 4.29 hours.
Scaled time: 9.14 units (timescale=2.132).
Factorization parameters were as follows:
n: 370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370397
m: 10000000000000000000000000000
deg: 5
c5: 1
c0: 7190
skew: 5.91
# Murphy_E = 2.597e-09
type: snfs
lss: 1
rlim: 1510000
alim: 1510000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1510000/1510000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [755000, 1730001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 247307 x 247535
Total sieving time: 4.17 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,140.000,5,0,0,0,0,0,0,0,0,1510000,1510000,26,26,48,48,2.3,2.3,75000
total time: 4.29 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 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10140+7199

c108

name 名前Cyp
date 日付December 13, 2014 13:51:59 UTC 2014 年 12 月 13 日 (土) 22 時 51 分 59 秒 (日本時間)
composite number 合成数
166025854916723085740717393925268337370180039955736544409977588712526522651909898584014560499940943455066657<108>
prime factors 素因数
9778775398219637805158984304344845953938834549854789<52>
16978184706742564506556695482079580087707652338366829613<56>
factorization results 素因数分解の結果
12/13/14 14:08:48 v1.34.3, 
12/13/14 14:08:48 v1.34.3, ****************************
12/13/14 14:08:48 v1.34.3, Starting factorization of 166025854916723085740717393925268337370180039955736544409977588712526522651909898584014560499940943455066657
12/13/14 14:08:48 v1.34.3, using pretesting plan: none
12/13/14 14:08:48 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/13/14 14:08:48 v1.34.3, ****************************
12/13/14 14:08:48 v1.34.3, nfs: commencing nfs on c108: 166025854916723085740717393925268337370180039955736544409977588712526522651909898584014560499940943455066657
12/13/14 14:08:48 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/13/14 14:08:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/13/14 14:09:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
[153 lines snipped]
12/13/14 14:48:36 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/13/14 14:48:51 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/13/14 14:49:06 v1.34.3, nfs: commencing msieve filtering
12/13/14 14:49:56 v1.34.3, nfs: commencing msieve linear algebra
12/13/14 14:51:24 v1.34.3, nfs: commencing msieve sqrt
12/13/14 14:51:58 v1.34.3, prp56 = 16978184706742564506556695482079580087707652338366829613
12/13/14 14:51:58 v1.34.3, prp52 = 9778775398219637805158984304344845953938834549854789
12/13/14 14:51:58 v1.34.3, NFS elapsed time = 2590.1501 seconds.
12/13/14 14:51:58 v1.34.3, 
12/13/14 14:51:58 v1.34.3, 
12/13/14 14:51:58 v1.34.3, Total factoring time = 2590.1522 seconds
--
Sat Dec 13 14:49:06 2014  
Sat Dec 13 14:49:06 2014  commencing relation filtering
Sat Dec 13 14:49:06 2014  estimated available RAM is 15987.3 MB
Sat Dec 13 14:49:06 2014  commencing duplicate removal, pass 1
Sat Dec 13 14:49:19 2014  found 721024 hash collisions in 4475415 relations
Sat Dec 13 14:49:23 2014  added 177206 free relations
Sat Dec 13 14:49:23 2014  commencing duplicate removal, pass 2
Sat Dec 13 14:49:27 2014  found 596442 duplicates and 4056179 unique relations
Sat Dec 13 14:49:27 2014  memory use: 20.6 MB
Sat Dec 13 14:49:27 2014  reading ideals above 100000
Sat Dec 13 14:49:27 2014  commencing singleton removal, initial pass
Sat Dec 13 14:49:45 2014  memory use: 94.1 MB
Sat Dec 13 14:49:45 2014  reading all ideals from disk
Sat Dec 13 14:49:45 2014  memory use: 123.7 MB
Sat Dec 13 14:49:46 2014  keeping 4422991 ideals with weight <= 200, target excess is 20296
Sat Dec 13 14:49:46 2014  commencing in-memory singleton removal
Sat Dec 13 14:49:46 2014  begin with 4056179 relations and 4422991 unique ideals
Sat Dec 13 14:49:47 2014  reduce to 1678735 relations and 1396432 ideals in 12 passes
Sat Dec 13 14:49:47 2014  max relations containing the same ideal: 116
Sat Dec 13 14:49:48 2014  removing 460550 relations and 331170 ideals in 129380 cliques
Sat Dec 13 14:49:48 2014  commencing in-memory singleton removal
Sat Dec 13 14:49:48 2014  begin with 1218185 relations and 1396432 unique ideals
Sat Dec 13 14:49:48 2014  reduce to 1135366 relations and 974560 ideals in 7 passes
Sat Dec 13 14:49:48 2014  max relations containing the same ideal: 85
Sat Dec 13 14:49:49 2014  removing 378108 relations and 248728 ideals in 129380 cliques
Sat Dec 13 14:49:49 2014  commencing in-memory singleton removal
Sat Dec 13 14:49:49 2014  begin with 757258 relations and 974560 unique ideals
Sat Dec 13 14:49:49 2014  reduce to 691107 relations and 651822 ideals in 9 passes
Sat Dec 13 14:49:49 2014  max relations containing the same ideal: 65
Sat Dec 13 14:49:49 2014  removing 66644 relations and 50903 ideals in 15741 cliques
Sat Dec 13 14:49:49 2014  commencing in-memory singleton removal
Sat Dec 13 14:49:49 2014  begin with 624463 relations and 651822 unique ideals
Sat Dec 13 14:49:49 2014  reduce to 620029 relations and 596380 ideals in 5 passes
Sat Dec 13 14:49:49 2014  max relations containing the same ideal: 58
Sat Dec 13 14:49:49 2014  relations with 0 large ideals: 482
Sat Dec 13 14:49:49 2014  relations with 1 large ideals: 336
Sat Dec 13 14:49:49 2014  relations with 2 large ideals: 4770
Sat Dec 13 14:49:49 2014  relations with 3 large ideals: 29619
Sat Dec 13 14:49:49 2014  relations with 4 large ideals: 94052
Sat Dec 13 14:49:49 2014  relations with 5 large ideals: 168096
Sat Dec 13 14:49:49 2014  relations with 6 large ideals: 179707
Sat Dec 13 14:49:49 2014  relations with 7+ large ideals: 142967
Sat Dec 13 14:49:49 2014  commencing 2-way merge
Sat Dec 13 14:49:50 2014  reduce to 403927 relation sets and 380278 unique ideals
Sat Dec 13 14:49:50 2014  commencing full merge
Sat Dec 13 14:49:54 2014  memory use: 48.4 MB
Sat Dec 13 14:49:54 2014  found 203471 cycles, need 200478
Sat Dec 13 14:49:54 2014  weight of 200478 cycles is about 14194331 (70.80/cycle)
Sat Dec 13 14:49:54 2014  distribution of cycle lengths:
Sat Dec 13 14:49:54 2014  1 relations: 9000
Sat Dec 13 14:49:54 2014  2 relations: 16245
Sat Dec 13 14:49:54 2014  3 relations: 19782
Sat Dec 13 14:49:54 2014  4 relations: 20614
Sat Dec 13 14:49:54 2014  5 relations: 20600
Sat Dec 13 14:49:54 2014  6 relations: 19658
Sat Dec 13 14:49:54 2014  7 relations: 18112
Sat Dec 13 14:49:54 2014  8 relations: 15761
Sat Dec 13 14:49:54 2014  9 relations: 13583
Sat Dec 13 14:49:54 2014  10+ relations: 47123
Sat Dec 13 14:49:54 2014  heaviest cycle: 22 relations
Sat Dec 13 14:49:54 2014  commencing cycle optimization
Sat Dec 13 14:49:54 2014  start with 1367726 relations
Sat Dec 13 14:49:56 2014  pruned 46147 relations
Sat Dec 13 14:49:56 2014  memory use: 40.0 MB
Sat Dec 13 14:49:56 2014  distribution of cycle lengths:
Sat Dec 13 14:49:56 2014  1 relations: 9000
Sat Dec 13 14:49:56 2014  2 relations: 16596
Sat Dec 13 14:49:56 2014  3 relations: 20543
Sat Dec 13 14:49:56 2014  4 relations: 21368
Sat Dec 13 14:49:56 2014  5 relations: 21537
Sat Dec 13 14:49:56 2014  6 relations: 20285
Sat Dec 13 14:49:56 2014  7 relations: 18742
Sat Dec 13 14:49:56 2014  8 relations: 16130
Sat Dec 13 14:49:56 2014  9 relations: 13810
Sat Dec 13 14:49:56 2014  10+ relations: 42467
Sat Dec 13 14:49:56 2014  heaviest cycle: 21 relations
Sat Dec 13 14:49:56 2014  RelProcTime: 50
Sat Dec 13 14:49:56 2014  
Sat Dec 13 14:49:56 2014  commencing linear algebra
Sat Dec 13 14:49:56 2014  read 200478 cycles
Sat Dec 13 14:49:56 2014  cycles contain 607714 unique relations
Sat Dec 13 14:50:00 2014  read 607714 relations
Sat Dec 13 14:50:01 2014  using 20 quadratic characters above 67097568
Sat Dec 13 14:50:03 2014  building initial matrix
Sat Dec 13 14:50:07 2014  memory use: 74.6 MB
Sat Dec 13 14:50:07 2014  read 200478 cycles
Sat Dec 13 14:50:07 2014  matrix is 200328 x 200478 (59.8 MB) with weight 18389424 (91.73/col)
Sat Dec 13 14:50:07 2014  sparse part has weight 13465326 (67.17/col)
Sat Dec 13 14:50:07 2014  filtering completed in 2 passes
Sat Dec 13 14:50:07 2014  matrix is 200291 x 200463 (59.8 MB) with weight 18388283 (91.73/col)
Sat Dec 13 14:50:07 2014  sparse part has weight 13464591 (67.17/col)
Sat Dec 13 14:50:08 2014  matrix starts at (0, 0)
Sat Dec 13 14:50:08 2014  matrix is 200291 x 200463 (59.8 MB) with weight 18388283 (91.73/col)
Sat Dec 13 14:50:08 2014  sparse part has weight 13464591 (67.17/col)
Sat Dec 13 14:50:08 2014  saving the first 48 matrix rows for later
Sat Dec 13 14:50:08 2014  matrix includes 64 packed rows
Sat Dec 13 14:50:08 2014  matrix is 200243 x 200463 (56.5 MB) with weight 14420421 (71.94/col)
Sat Dec 13 14:50:08 2014  sparse part has weight 12800445 (63.85/col)
Sat Dec 13 14:50:08 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 13 14:50:08 2014  commencing Lanczos iteration (8 threads)
Sat Dec 13 14:50:08 2014  memory use: 53.2 MB
Sat Dec 13 14:50:13 2014  linear algebra at 6.1%, ETA 0h 1m
Sat Dec 13 14:51:24 2014  lanczos halted after 3169 iterations (dim = 200239)
Sat Dec 13 14:51:24 2014  recovered 34 nontrivial dependencies
Sat Dec 13 14:51:24 2014  BLanczosTime: 88
Sat Dec 13 14:51:24 2014  
Sat Dec 13 14:51:24 2014  commencing square root phase
Sat Dec 13 14:51:24 2014  reading relations for dependency 1
Sat Dec 13 14:51:24 2014  read 100533 cycles
Sat Dec 13 14:51:24 2014  cycles contain 304528 unique relations
Sat Dec 13 14:51:28 2014  read 304528 relations
Sat Dec 13 14:51:28 2014  multiplying 304528 relations
Sat Dec 13 14:51:31 2014  multiply complete, coefficients have about 6.08 million bits
Sat Dec 13 14:51:31 2014  initial square root is modulo 9913861
Sat Dec 13 14:51:36 2014  GCD is 1, no factor found
Sat Dec 13 14:51:36 2014  reading relations for dependency 2
Sat Dec 13 14:51:36 2014  read 100286 cycles
Sat Dec 13 14:51:36 2014  cycles contain 303856 unique relations
Sat Dec 13 14:51:39 2014  read 303856 relations
Sat Dec 13 14:51:40 2014  multiplying 303856 relations
Sat Dec 13 14:51:43 2014  multiply complete, coefficients have about 6.07 million bits
Sat Dec 13 14:51:43 2014  initial square root is modulo 9564211
Sat Dec 13 14:51:47 2014  GCD is N, no factor found
Sat Dec 13 14:51:47 2014  reading relations for dependency 3
Sat Dec 13 14:51:47 2014  read 99994 cycles
Sat Dec 13 14:51:47 2014  cycles contain 303940 unique relations
Sat Dec 13 14:51:50 2014  read 303940 relations
Sat Dec 13 14:51:51 2014  multiplying 303940 relations
Sat Dec 13 14:51:54 2014  multiply complete, coefficients have about 6.07 million bits
Sat Dec 13 14:51:54 2014  initial square root is modulo 9596731
Sat Dec 13 14:51:58 2014  sqrtTime: 34
--
n: 166025854916723085740717393925268337370180039955736544409977588712526522651909898584014560499940943455066657
m: 10000000000000000000000000000
deg: 5
c5: 1
c0: 719
skew: 3.73
# Murphy_E = 3.857e-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 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280 / 2318Pierre JammesDecember 9, 2014 12:23:17 UTC 2014 年 12 月 9 日 (火) 21 時 23 分 17 秒 (日本時間)

10145+7199

c108

name 名前Dmitry Domanov
date 日付December 6, 2014 16:36:37 UTC 2014 年 12 月 7 日 (日) 1 時 36 分 37 秒 (日本時間)
composite number 合成数
156226781297310966604768812322366881407394742309047066086673548173874701246978216599639468918001701694092461<108>
prime factors 素因数
39866461870081354459133906725601<32>
3918752103119407286567406476184408384742157749663242138959517500933243350861<76>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2626590018
Step 1 took 5063ms
Step 2 took 2858ms
********** Factor found in step 2: 39866461870081354459133906725601
Found probable prime factor of 32 digits: 39866461870081354459133906725601

ECM

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

10146+7199

c121

name 名前Serge Batalov
date 日付December 10, 2014 20:17:15 UTC 2014 年 12 月 11 日 (木) 5 時 17 分 15 秒 (日本時間)
composite number 合成数
7875159277607085866207240190470070037135703524863392451790966841894930826256042780663192723573555977992006265176877766609<121>
prime factors 素因数
2813174765184267415671329223253901381<37>
2799385013355631470811643135525677938403470054210933940304211771379316089992848117789<85>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2777099500
Step 1 took 7635ms
Step 2 took 6263ms
********** Factor found in step 2: 2813174765184267415671329223253901381
Found probable prime factor of 37 digits: 2813174765184267415671329223253901381
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:47:26 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 26 秒 (日本時間)

10149+7199

c141

name 名前Dmitry Domanov
date 日付December 15, 2014 13:18:22 UTC 2014 年 12 月 15 日 (月) 22 時 18 分 22 秒 (日本時間)
composite number 合成数
636394852688242272262076768069249738643770910860943021729657697400344209429552900350767478509852687383139210947641001695935006877423713773931<141>
prime factors 素因数
62332590113394080718977200861905429581037539589167962558813277<62>
10209664824300204998086508861355021677768416685604636921137237552880160819763303<80>
factorization results 素因数分解の結果
N=636394852688242272262076768069249738643770910860943021729657697400344209429552900350767478509852687383139210947641001695935006877423713773931
  ( 141 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=62332590113394080718977200861905429581037539589167962558813277 (pp62)
 r2=10209664824300204998086508861355021677768416685604636921137237552880160819763303 (pp80)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 11.05 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 636394852688242272262076768069249738643770910860943021729657697400344209429552900350767478509852687383139210947641001695935006877423713773931
m: 500000000000000000000000000000
deg: 5
c5: 16
c0: 3595
skew: 2.95
# Murphy_E = 1.098e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 3000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 425470 x 425695
Total sieving time: 10.70 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,149.000,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 11.05 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:47:27 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 27 秒 (日本時間)

10151+7199

c138

name 名前Dmitry Domanov
date 日付December 6, 2014 15:46:12 UTC 2014 年 12 月 7 日 (日) 0 時 46 分 12 秒 (日本時間)
composite number 合成数
255528509496723167547123003283796402073614179669720567135854778501662420735865498237630912499544683146308136366613172025330952706862458653<138>
prime factors 素因数
16043039869773370362339525363329<32>
15927686496507650539585436238468687855933721614377735650820781354064096562637349613724807030078083939904157<107>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2949603613
Step 1 took 7437ms
Step 2 took 1870ms
********** Factor found in step 2: 16043039869773370362339525363329
Found probable prime factor of 32 digits: 16043039869773370362339525363329

ECM

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

10152+7199

c128

name 名前Cyp
date 日付December 19, 2014 03:27:36 UTC 2014 年 12 月 19 日 (金) 12 時 27 分 36 秒 (日本時間)
composite number 合成数
14527354318189466984863412467816717777015496283719369462108222818858585403888721945840268529288643832552693985937791205187165471<128>
prime factors 素因数
1365240781588334987900615923784818475494426291759<49>
10640873400579343565244392264715139887264217848968955173639491195877554552189969<80>
factorization results 素因数分解の結果
12/19/14 02:13:24 v1.34.3, 
12/19/14 02:13:24 v1.34.3, ****************************
12/19/14 02:13:24 v1.34.3, Starting factorization of 14527354318189466984863412467816717777015496283719369462108222818858585403888721945840268529288643832552693985937791205187165471
12/19/14 02:13:24 v1.34.3, using pretesting plan: none
12/19/14 02:13:24 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/19/14 02:13:24 v1.34.3, ****************************
12/19/14 02:13:24 v1.34.3, nfs: commencing nfs on c128: 14527354318189466984863412467816717777015496283719369462108222818858585403888721945840268529288643832552693985937791205187165471
12/19/14 02:13:24 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/19/14 02:13:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/19/14 02:14:14 v1.34.3, nfs: commencing lattice sieving with 8 threads
[143 lines snipped]
12/19/14 04:19:18 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/19/14 04:20:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/19/14 04:20:58 v1.34.3, nfs: commencing msieve filtering
12/19/14 04:22:38 v1.34.3, nfs: commencing msieve linear algebra
12/19/14 04:27:02 v1.34.3, nfs: commencing msieve sqrt
12/19/14 04:27:35 v1.34.3, prp49 = 1365240781588334987900615923784818475494426291759
12/19/14 04:27:35 v1.34.3, prp80 = 10640873400579343565244392264715139887264217848968955173639491195877554552189969
12/19/14 04:27:35 v1.34.3, NFS elapsed time = 8051.0251 seconds.
12/19/14 04:27:35 v1.34.3, 
12/19/14 04:27:35 v1.34.3, 
12/19/14 04:27:35 v1.34.3, Total factoring time = 8051.0257 seconds
--
Fri Dec 19 04:20:58 2014  
Fri Dec 19 04:20:58 2014  commencing relation filtering
Fri Dec 19 04:20:58 2014  estimated available RAM is 15987.3 MB
Fri Dec 19 04:20:58 2014  commencing duplicate removal, pass 1
Fri Dec 19 04:21:25 2014  found 1732561 hash collisions in 10096639 relations
Fri Dec 19 04:21:33 2014  added 357145 free relations
Fri Dec 19 04:21:33 2014  commencing duplicate removal, pass 2
Fri Dec 19 04:21:41 2014  found 1430641 duplicates and 9023143 unique relations
Fri Dec 19 04:21:41 2014  memory use: 45.3 MB
Fri Dec 19 04:21:41 2014  reading ideals above 100000
Fri Dec 19 04:21:41 2014  commencing singleton removal, initial pass
Fri Dec 19 04:22:18 2014  memory use: 188.2 MB
Fri Dec 19 04:22:18 2014  reading all ideals from disk
Fri Dec 19 04:22:18 2014  memory use: 304.1 MB
Fri Dec 19 04:22:19 2014  keeping 9474198 ideals with weight <= 200, target excess is 46393
Fri Dec 19 04:22:19 2014  commencing in-memory singleton removal
Fri Dec 19 04:22:19 2014  begin with 9023143 relations and 9474198 unique ideals
Fri Dec 19 04:22:22 2014  reduce to 4083596 relations and 3356172 ideals in 15 passes
Fri Dec 19 04:22:22 2014  max relations containing the same ideal: 125
Fri Dec 19 04:22:23 2014  removing 1172094 relations and 835290 ideals in 336804 cliques
Fri Dec 19 04:22:24 2014  commencing in-memory singleton removal
Fri Dec 19 04:22:24 2014  begin with 2911502 relations and 3356172 unique ideals
Fri Dec 19 04:22:24 2014  reduce to 2681728 relations and 2267491 ideals in 9 passes
Fri Dec 19 04:22:24 2014  max relations containing the same ideal: 91
Fri Dec 19 04:22:25 2014  removing 976481 relations and 639677 ideals in 336804 cliques
Fri Dec 19 04:22:25 2014  commencing in-memory singleton removal
Fri Dec 19 04:22:25 2014  begin with 1705247 relations and 2267491 unique ideals
Fri Dec 19 04:22:26 2014  reduce to 1506036 relations and 1402967 ideals in 9 passes
Fri Dec 19 04:22:26 2014  max relations containing the same ideal: 59
Fri Dec 19 04:22:26 2014  removing 206934 relations and 157681 ideals in 49253 cliques
Fri Dec 19 04:22:26 2014  commencing in-memory singleton removal
Fri Dec 19 04:22:26 2014  begin with 1299102 relations and 1402967 unique ideals
Fri Dec 19 04:22:26 2014  reduce to 1277887 relations and 1223350 ideals in 7 passes
Fri Dec 19 04:22:26 2014  max relations containing the same ideal: 54
Fri Dec 19 04:22:27 2014  relations with 0 large ideals: 1011
Fri Dec 19 04:22:27 2014  relations with 1 large ideals: 730
Fri Dec 19 04:22:27 2014  relations with 2 large ideals: 10713
Fri Dec 19 04:22:27 2014  relations with 3 large ideals: 66007
Fri Dec 19 04:22:27 2014  relations with 4 large ideals: 204240
Fri Dec 19 04:22:27 2014  relations with 5 large ideals: 350685
Fri Dec 19 04:22:27 2014  relations with 6 large ideals: 360938
Fri Dec 19 04:22:27 2014  relations with 7+ large ideals: 283563
Fri Dec 19 04:22:27 2014  commencing 2-way merge
Fri Dec 19 04:22:27 2014  reduce to 803816 relation sets and 749279 unique ideals
Fri Dec 19 04:22:27 2014  commencing full merge
Fri Dec 19 04:22:34 2014  memory use: 95.8 MB
Fri Dec 19 04:22:34 2014  found 415212 cycles, need 407479
Fri Dec 19 04:22:35 2014  weight of 407479 cycles is about 28678727 (70.38/cycle)
Fri Dec 19 04:22:35 2014  distribution of cycle lengths:
Fri Dec 19 04:22:35 2014  1 relations: 26874
Fri Dec 19 04:22:35 2014  2 relations: 37779
Fri Dec 19 04:22:35 2014  3 relations: 43417
Fri Dec 19 04:22:35 2014  4 relations: 43749
Fri Dec 19 04:22:35 2014  5 relations: 42878
Fri Dec 19 04:22:35 2014  6 relations: 39743
Fri Dec 19 04:22:35 2014  7 relations: 36195
Fri Dec 19 04:22:35 2014  8 relations: 30696
Fri Dec 19 04:22:35 2014  9 relations: 26046
Fri Dec 19 04:22:35 2014  10+ relations: 80102
Fri Dec 19 04:22:35 2014  heaviest cycle: 20 relations
Fri Dec 19 04:22:35 2014  commencing cycle optimization
Fri Dec 19 04:22:35 2014  start with 2566363 relations
Fri Dec 19 04:22:37 2014  pruned 79005 relations
Fri Dec 19 04:22:37 2014  memory use: 79.1 MB
Fri Dec 19 04:22:37 2014  distribution of cycle lengths:
Fri Dec 19 04:22:37 2014  1 relations: 26874
Fri Dec 19 04:22:37 2014  2 relations: 38613
Fri Dec 19 04:22:37 2014  3 relations: 45119
Fri Dec 19 04:22:37 2014  4 relations: 45113
Fri Dec 19 04:22:37 2014  5 relations: 44591
Fri Dec 19 04:22:37 2014  6 relations: 40993
Fri Dec 19 04:22:37 2014  7 relations: 37156
Fri Dec 19 04:22:37 2014  8 relations: 31111
Fri Dec 19 04:22:37 2014  9 relations: 26213
Fri Dec 19 04:22:37 2014  10+ relations: 71696
Fri Dec 19 04:22:37 2014  heaviest cycle: 19 relations
Fri Dec 19 04:22:38 2014  RelProcTime: 100
Fri Dec 19 04:22:38 2014  
Fri Dec 19 04:22:38 2014  commencing linear algebra
Fri Dec 19 04:22:38 2014  read 407479 cycles
Fri Dec 19 04:22:38 2014  cycles contain 1242988 unique relations
Fri Dec 19 04:22:47 2014  read 1242988 relations
Fri Dec 19 04:22:48 2014  using 20 quadratic characters above 134211150
Fri Dec 19 04:22:51 2014  building initial matrix
Fri Dec 19 04:22:58 2014  memory use: 150.9 MB
Fri Dec 19 04:22:58 2014  read 407479 cycles
Fri Dec 19 04:22:58 2014  matrix is 407306 x 407479 (121.5 MB) with weight 35893708 (88.09/col)
Fri Dec 19 04:22:58 2014  sparse part has weight 27378489 (67.19/col)
Fri Dec 19 04:22:59 2014  filtering completed in 2 passes
Fri Dec 19 04:22:59 2014  matrix is 407211 x 407384 (121.5 MB) with weight 35890594 (88.10/col)
Fri Dec 19 04:22:59 2014  sparse part has weight 27377384 (67.20/col)
Fri Dec 19 04:23:00 2014  matrix starts at (0, 0)
Fri Dec 19 04:23:00 2014  matrix is 407211 x 407384 (121.5 MB) with weight 35890594 (88.10/col)
Fri Dec 19 04:23:00 2014  sparse part has weight 27377384 (67.20/col)
Fri Dec 19 04:23:00 2014  saving the first 48 matrix rows for later
Fri Dec 19 04:23:00 2014  matrix includes 64 packed rows
Fri Dec 19 04:23:00 2014  matrix is 407163 x 407384 (114.3 MB) with weight 28428228 (69.78/col)
Fri Dec 19 04:23:00 2014  sparse part has weight 25881324 (63.53/col)
Fri Dec 19 04:23:00 2014  using block size 65536 for processor cache size 8192 kB
Fri Dec 19 04:23:01 2014  commencing Lanczos iteration (8 threads)
Fri Dec 19 04:23:01 2014  memory use: 110.2 MB
Fri Dec 19 04:23:08 2014  linear algebra at 3.0%, ETA 0h 3m
Fri Dec 19 04:27:02 2014  lanczos halted after 6440 iterations (dim = 407157)
Fri Dec 19 04:27:02 2014  recovered 38 nontrivial dependencies
Fri Dec 19 04:27:02 2014  BLanczosTime: 264
Fri Dec 19 04:27:02 2014  
Fri Dec 19 04:27:02 2014  commencing square root phase
Fri Dec 19 04:27:02 2014  reading relations for dependency 1
Fri Dec 19 04:27:02 2014  read 203371 cycles
Fri Dec 19 04:27:02 2014  cycles contain 620560 unique relations
Fri Dec 19 04:27:09 2014  read 620560 relations
Fri Dec 19 04:27:11 2014  multiplying 620560 relations
Fri Dec 19 04:27:21 2014  multiply complete, coefficients have about 16.97 million bits
Fri Dec 19 04:27:21 2014  initial square root is modulo 75161
Fri Dec 19 04:27:35 2014  sqrtTime: 33
--
n: 14527354318189466984863412467816717777015496283719369462108222818858585403888721945840268529288643832552693985937791205187165471
m: 1000000000000000000000000000000
deg: 5
c5: 100
c0: 719
skew: 1.48
# Murphy_E = 8.46e-10
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:47:27 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 27 秒 (日本時間)

10153+7199

c150

name 名前Dmitry Domanov
date 日付December 9, 2014 09:13:13 UTC 2014 年 12 月 9 日 (火) 18 時 13 分 13 秒 (日本時間)
composite number 合成数
297885016383675901102174560619600834078045874292523086088769734882335418528448019064641048555257670539171879654453380994935954721477509681263032469467<150>
prime factors 素因数
391822484599710697626969884148427500528396711703727836810744342370803<69>
760255034082584255777655144424893030516354442868466171430812366560740745465556089<81>
factorization results 素因数分解の結果
N=297885016383675901102174560619600834078045874292523086088769734882335418528448019064641048555257670539171879654453380994935954721477509681263032469467
  ( 150 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=391822484599710697626969884148427500528396711703727836810744342370803 (pp69)
 r2=760255034082584255777655144424893030516354442868466171430812366560740745465556089 (pp81)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 11.62 hours.
Scaled time: 23.71 units (timescale=2.040).
Factorization parameters were as follows:
n: 297885016383675901102174560619600834078045874292523086088769734882335418528448019064641048555257670539171879654453380994935954721477509681263032469467
m: 1000000000000000000000000000000
deg: 5
c5: 1000
c0: 719
skew: 0.94
# Murphy_E = 8.663e-10
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 2150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 426014 x 426248
Total sieving time: 11.31 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 11.62 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 8, 2014 19:27:21 UTC 2014 年 12 月 9 日 (火) 4 時 27 分 21 秒 (日本時間)

10156+7199

c156

name 名前Serge Batalov
date 日付December 9, 2014 04:23:20 UTC 2014 年 12 月 9 日 (火) 13 時 23 分 20 秒 (日本時間)
composite number 合成数
111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111191<156>
prime factors 素因数
1373977302975012626751689446653459405253125090430345328625480990791695028233<76>
80868228951473294993615631736349494647732726473973886161749678126191977205463327<80>
factorization results 素因数分解の結果
Divisors found:
 r1=1373977302975012626751689446653459405253125090430345328625480990791695028233 (pp76)
 r2=80868228951473294993615631736349494647732726473973886161749678126191977205463327 (pp80)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 15.03 hours.
Scaled time: 36.08 units (timescale=2.400).
Factorization parameters were as follows:
n: 111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111191
m: 10000000000000000000000000000000
deg: 5
c5: 10
c0: 719
skew: 2.35
# Murphy_E = 6.484e-10
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 3000001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 408024 x 408253
Total sieving time: 14.82 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 15.03 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 8, 2014 19:27:23 UTC 2014 年 12 月 9 日 (火) 4 時 27 分 23 秒 (日本時間)

10159+7199

c138

name 名前Cyp
date 日付December 17, 2014 09:57:53 UTC 2014 年 12 月 17 日 (水) 18 時 57 分 53 秒 (日本時間)
composite number 合成数
419916787819730298777641898962077126984622200467893140352160339183859694085735801732202280237409707911172577763042307253228197129286814079<138>
prime factors 素因数
4061263233436017907507208580191982885889<40>
103395609612938369569795450535968599365361955530984876200981010792095193211564897463280026215523711<99>
factorization results 素因数分解の結果
12/17/14 07:02:22 v1.34.3, 
12/17/14 07:02:22 v1.34.3, ****************************
12/17/14 07:02:22 v1.34.3, Starting factorization of 419916787819730298777641898962077126984622200467893140352160339183859694085735801732202280237409707911172577763042307253228197129286814079
12/17/14 07:02:22 v1.34.3, using pretesting plan: none
12/17/14 07:02:22 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/17/14 07:02:22 v1.34.3, ****************************
12/17/14 07:02:22 v1.34.3, nfs: commencing nfs on c138: 419916787819730298777641898962077126984622200467893140352160339183859694085735801732202280237409707911172577763042307253228197129286814079
12/17/14 07:02:22 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/17/14 07:02:22 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/17/14 07:03:40 v1.34.3, nfs: commencing lattice sieving with 8 threads
[162 lines snipped]
12/17/14 10:43:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/17/14 10:44:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/17/14 10:45:49 v1.34.3, nfs: commencing msieve filtering
12/17/14 10:47:36 v1.34.3, nfs: commencing msieve linear algebra
12/17/14 10:56:27 v1.34.3, nfs: commencing msieve sqrt
12/17/14 10:57:52 v1.34.3, prp40 = 4061263233436017907507208580191982885889
12/17/14 10:57:52 v1.34.3, prp99 = 103395609612938369569795450535968599365361955530984876200981010792095193211564897463280026215523711
12/17/14 10:57:52 v1.34.3, NFS elapsed time = 14129.9179 seconds.
12/17/14 10:57:52 v1.34.3, 
12/17/14 10:57:52 v1.34.3, 
12/17/14 10:57:52 v1.34.3, Total factoring time = 14129.9189 seconds
--
Wed Dec 17 10:45:49 2014  
Wed Dec 17 10:45:49 2014  commencing relation filtering
Wed Dec 17 10:45:49 2014  estimated available RAM is 15987.3 MB
Wed Dec 17 10:45:49 2014  commencing duplicate removal, pass 1
Wed Dec 17 10:46:17 2014  found 1896384 hash collisions in 10062182 relations
Wed Dec 17 10:46:25 2014  added 353927 free relations
Wed Dec 17 10:46:25 2014  commencing duplicate removal, pass 2
Wed Dec 17 10:46:33 2014  found 1667577 duplicates and 8748532 unique relations
Wed Dec 17 10:46:33 2014  memory use: 45.3 MB
Wed Dec 17 10:46:33 2014  reading ideals above 100000
Wed Dec 17 10:46:33 2014  commencing singleton removal, initial pass
Wed Dec 17 10:47:12 2014  memory use: 188.2 MB
Wed Dec 17 10:47:12 2014  reading all ideals from disk
Wed Dec 17 10:47:12 2014  memory use: 302.1 MB
Wed Dec 17 10:47:12 2014  keeping 9472762 ideals with weight <= 200, target excess is 45322
Wed Dec 17 10:47:12 2014  commencing in-memory singleton removal
Wed Dec 17 10:47:13 2014  begin with 8748532 relations and 9472762 unique ideals
Wed Dec 17 10:47:15 2014  reduce to 3780675 relations and 3304856 ideals in 13 passes
Wed Dec 17 10:47:15 2014  max relations containing the same ideal: 119
Wed Dec 17 10:47:16 2014  removing 891573 relations and 679950 ideals in 211623 cliques
Wed Dec 17 10:47:16 2014  commencing in-memory singleton removal
Wed Dec 17 10:47:16 2014  begin with 2889102 relations and 3304856 unique ideals
Wed Dec 17 10:47:17 2014  reduce to 2733729 relations and 2458615 ideals in 9 passes
Wed Dec 17 10:47:17 2014  max relations containing the same ideal: 93
Wed Dec 17 10:47:18 2014  removing 720544 relations and 508921 ideals in 211623 cliques
Wed Dec 17 10:47:18 2014  commencing in-memory singleton removal
Wed Dec 17 10:47:18 2014  begin with 2013185 relations and 2458615 unique ideals
Wed Dec 17 10:47:19 2014  reduce to 1888903 relations and 1815509 ideals in 10 passes
Wed Dec 17 10:47:19 2014  max relations containing the same ideal: 70
Wed Dec 17 10:47:19 2014  removing 112201 relations and 91381 ideals in 20820 cliques
Wed Dec 17 10:47:19 2014  commencing in-memory singleton removal
Wed Dec 17 10:47:19 2014  begin with 1776702 relations and 1815509 unique ideals
Wed Dec 17 10:47:20 2014  reduce to 1772975 relations and 1720362 ideals in 6 passes
Wed Dec 17 10:47:20 2014  max relations containing the same ideal: 67
Wed Dec 17 10:47:20 2014  relations with 0 large ideals: 1051
Wed Dec 17 10:47:20 2014  relations with 1 large ideals: 471
Wed Dec 17 10:47:20 2014  relations with 2 large ideals: 7569
Wed Dec 17 10:47:20 2014  relations with 3 large ideals: 53670
Wed Dec 17 10:47:20 2014  relations with 4 large ideals: 197478
Wed Dec 17 10:47:20 2014  relations with 5 large ideals: 414228
Wed Dec 17 10:47:20 2014  relations with 6 large ideals: 528033
Wed Dec 17 10:47:20 2014  relations with 7+ large ideals: 570475
Wed Dec 17 10:47:20 2014  commencing 2-way merge
Wed Dec 17 10:47:20 2014  reduce to 1122304 relation sets and 1069691 unique ideals
Wed Dec 17 10:47:20 2014  commencing full merge
Wed Dec 17 10:47:31 2014  memory use: 136.1 MB
Wed Dec 17 10:47:31 2014  found 580871 cycles, need 573891
Wed Dec 17 10:47:31 2014  weight of 573891 cycles is about 40546190 (70.65/cycle)
Wed Dec 17 10:47:31 2014  distribution of cycle lengths:
Wed Dec 17 10:47:31 2014  1 relations: 41415
Wed Dec 17 10:47:31 2014  2 relations: 56795
Wed Dec 17 10:47:31 2014  3 relations: 63273
Wed Dec 17 10:47:31 2014  4 relations: 61633
Wed Dec 17 10:47:31 2014  5 relations: 59229
Wed Dec 17 10:47:31 2014  6 relations: 54509
Wed Dec 17 10:47:31 2014  7 relations: 49204
Wed Dec 17 10:47:31 2014  8 relations: 42084
Wed Dec 17 10:47:31 2014  9 relations: 35311
Wed Dec 17 10:47:31 2014  10+ relations: 110438
Wed Dec 17 10:47:31 2014  heaviest cycle: 21 relations
Wed Dec 17 10:47:31 2014  commencing cycle optimization
Wed Dec 17 10:47:32 2014  start with 3564070 relations
Wed Dec 17 10:47:35 2014  pruned 103133 relations
Wed Dec 17 10:47:35 2014  memory use: 110.4 MB
Wed Dec 17 10:47:35 2014  distribution of cycle lengths:
Wed Dec 17 10:47:35 2014  1 relations: 41415
Wed Dec 17 10:47:35 2014  2 relations: 57923
Wed Dec 17 10:47:35 2014  3 relations: 65676
Wed Dec 17 10:47:35 2014  4 relations: 63561
Wed Dec 17 10:47:35 2014  5 relations: 61337
Wed Dec 17 10:47:35 2014  6 relations: 56010
Wed Dec 17 10:47:35 2014  7 relations: 50203
Wed Dec 17 10:47:35 2014  8 relations: 42602
Wed Dec 17 10:47:35 2014  9 relations: 35213
Wed Dec 17 10:47:35 2014  10+ relations: 99951
Wed Dec 17 10:47:35 2014  heaviest cycle: 21 relations
Wed Dec 17 10:47:36 2014  RelProcTime: 107
Wed Dec 17 10:47:36 2014  
Wed Dec 17 10:47:36 2014  commencing linear algebra
Wed Dec 17 10:47:36 2014  read 573891 cycles
Wed Dec 17 10:47:36 2014  cycles contain 1742816 unique relations
Wed Dec 17 10:47:46 2014  read 1742816 relations
Wed Dec 17 10:47:47 2014  using 20 quadratic characters above 134217362
Wed Dec 17 10:47:53 2014  building initial matrix
Wed Dec 17 10:48:02 2014  memory use: 210.5 MB
Wed Dec 17 10:48:02 2014  read 573891 cycles
Wed Dec 17 10:48:02 2014  matrix is 573718 x 573891 (172.2 MB) with weight 50968171 (88.81/col)
Wed Dec 17 10:48:02 2014  sparse part has weight 38841111 (67.68/col)
Wed Dec 17 10:48:04 2014  filtering completed in 2 passes
Wed Dec 17 10:48:05 2014  matrix is 573628 x 573804 (172.2 MB) with weight 50965658 (88.82/col)
Wed Dec 17 10:48:05 2014  sparse part has weight 38840303 (67.69/col)
Wed Dec 17 10:48:06 2014  matrix starts at (0, 0)
Wed Dec 17 10:48:06 2014  matrix is 573628 x 573804 (172.2 MB) with weight 50965658 (88.82/col)
Wed Dec 17 10:48:06 2014  sparse part has weight 38840303 (67.69/col)
Wed Dec 17 10:48:06 2014  saving the first 48 matrix rows for later
Wed Dec 17 10:48:06 2014  matrix includes 64 packed rows
Wed Dec 17 10:48:06 2014  matrix is 573580 x 573804 (162.4 MB) with weight 40284946 (70.21/col)
Wed Dec 17 10:48:06 2014  sparse part has weight 36844947 (64.21/col)
Wed Dec 17 10:48:06 2014  using block size 65536 for processor cache size 8192 kB
Wed Dec 17 10:48:07 2014  commencing Lanczos iteration (8 threads)
Wed Dec 17 10:48:07 2014  memory use: 157.3 MB
Wed Dec 17 10:48:10 2014  linear algebra at 0.5%, ETA 0h 9m
Wed Dec 17 10:56:26 2014  lanczos halted after 9072 iterations (dim = 573580)
Wed Dec 17 10:56:27 2014  recovered 39 nontrivial dependencies
Wed Dec 17 10:56:27 2014  BLanczosTime: 531
Wed Dec 17 10:56:27 2014  
Wed Dec 17 10:56:27 2014  commencing square root phase
Wed Dec 17 10:56:27 2014  reading relations for dependency 1
Wed Dec 17 10:56:27 2014  read 286926 cycles
Wed Dec 17 10:56:27 2014  cycles contain 871008 unique relations
Wed Dec 17 10:56:35 2014  read 871008 relations
Wed Dec 17 10:56:37 2014  multiplying 871008 relations
Wed Dec 17 10:56:51 2014  multiply complete, coefficients have about 22.23 million bits
Wed Dec 17 10:56:51 2014  initial square root is modulo 2422111
Wed Dec 17 10:57:09 2014  GCD is N, no factor found
Wed Dec 17 10:57:09 2014  reading relations for dependency 2
Wed Dec 17 10:57:09 2014  read 287834 cycles
Wed Dec 17 10:57:10 2014  cycles contain 872522 unique relations
Wed Dec 17 10:57:18 2014  read 872522 relations
Wed Dec 17 10:57:20 2014  multiplying 872522 relations
Wed Dec 17 10:57:34 2014  multiply complete, coefficients have about 22.27 million bits
Wed Dec 17 10:57:34 2014  initial square root is modulo 2486291
Wed Dec 17 10:57:52 2014  sqrtTime: 85
--
n: 419916787819730298777641898962077126984622200467893140352160339183859694085735801732202280237409707911172577763042307253228197129286814079
m: 50000000000000000000000000000000
deg: 5
c5: 16
c0: 3595
skew: 2.95
# Murphy_E = 4.556e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:47:27 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 27 秒 (日本時間)

10161+7199

c126

name 名前Cyp
date 日付December 19, 2014 09:17:44 UTC 2014 年 12 月 19 日 (金) 18 時 17 分 44 秒 (日本時間)
composite number 合成数
603953617253501330987838048880569929387265969681256531515756552852638213374494957843324074389632089803976748824639770017027659<126>
prime factors 素因数
535926155789971672333246086142800422468857<42>
1126934393346141286323923985857186295271954241012154964158019502091163454495428940387<85>
factorization results 素因数分解の結果
12/19/14 06:15:26 v1.34.3, 
12/19/14 06:15:26 v1.34.3, ****************************
12/19/14 06:15:26 v1.34.3, Starting factorization of 603953617253501330987838048880569929387265969681256531515756552852638213374494957843324074389632089803976748824639770017027659
12/19/14 06:15:26 v1.34.3, using pretesting plan: none
12/19/14 06:15:26 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/19/14 06:15:26 v1.34.3, ****************************
12/19/14 06:15:26 v1.34.3, nfs: commencing nfs on c126: 603953617253501330987838048880569929387265969681256531515756552852638213374494957843324074389632089803976748824639770017027659
12/19/14 06:15:26 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/19/14 06:15:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/19/14 06:16:22 v1.34.3, nfs: commencing lattice sieving with 8 threads
[215 lines snipped]
12/19/14 09:56:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/19/14 09:57:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/19/14 09:58:25 v1.34.3, nfs: commencing msieve filtering
12/19/14 10:00:17 v1.34.3, nfs: commencing msieve linear algebra
12/19/14 10:14:50 v1.34.3, nfs: commencing msieve sqrt
12/19/14 10:17:43 v1.34.3, prp85 = 1126934393346141286323923985857186295271954241012154964158019502091163454495428940387
12/19/14 10:17:43 v1.34.3, prp42 = 535926155789971672333246086142800422468857
12/19/14 10:17:43 v1.34.3, NFS elapsed time = 14536.4448 seconds.
12/19/14 10:17:43 v1.34.3, 
12/19/14 10:17:43 v1.34.3, 
12/19/14 10:17:43 v1.34.3, Total factoring time = 14536.4455 seconds
--
Fri Dec 19 09:58:25 2014  
Fri Dec 19 09:58:25 2014  commencing relation filtering
Fri Dec 19 09:58:25 2014  estimated available RAM is 15987.3 MB
Fri Dec 19 09:58:25 2014  commencing duplicate removal, pass 1
Fri Dec 19 09:58:52 2014  found 1764342 hash collisions in 10051105 relations
Fri Dec 19 09:59:00 2014  added 362784 free relations
Fri Dec 19 09:59:00 2014  commencing duplicate removal, pass 2
Fri Dec 19 09:59:08 2014  found 1488668 duplicates and 8925221 unique relations
Fri Dec 19 09:59:08 2014  memory use: 45.3 MB
Fri Dec 19 09:59:08 2014  reading ideals above 100000
Fri Dec 19 09:59:08 2014  commencing singleton removal, initial pass
Fri Dec 19 09:59:46 2014  memory use: 188.2 MB
Fri Dec 19 09:59:46 2014  reading all ideals from disk
Fri Dec 19 09:59:46 2014  memory use: 311.4 MB
Fri Dec 19 09:59:47 2014  keeping 10048041 ideals with weight <= 200, target excess is 45579
Fri Dec 19 09:59:47 2014  commencing in-memory singleton removal
Fri Dec 19 09:59:47 2014  begin with 8925221 relations and 10048041 unique ideals
Fri Dec 19 09:59:51 2014  reduce to 3394528 relations and 3223937 ideals in 19 passes
Fri Dec 19 09:59:51 2014  max relations containing the same ideal: 109
Fri Dec 19 09:59:52 2014  removing 470800 relations and 411940 ideals in 58860 cliques
Fri Dec 19 09:59:52 2014  commencing in-memory singleton removal
Fri Dec 19 09:59:52 2014  begin with 2923728 relations and 3223937 unique ideals
Fri Dec 19 09:59:53 2014  reduce to 2869435 relations and 2756455 ideals in 10 passes
Fri Dec 19 09:59:53 2014  max relations containing the same ideal: 96
Fri Dec 19 09:59:54 2014  removing 353236 relations and 294376 ideals in 58860 cliques
Fri Dec 19 09:59:54 2014  commencing in-memory singleton removal
Fri Dec 19 09:59:54 2014  begin with 2516199 relations and 2756455 unique ideals
Fri Dec 19 09:59:55 2014  reduce to 2481728 relations and 2426847 ideals in 9 passes
Fri Dec 19 09:59:55 2014  max relations containing the same ideal: 86
Fri Dec 19 09:59:55 2014  relations with 0 large ideals: 1104
Fri Dec 19 09:59:55 2014  relations with 1 large ideals: 363
Fri Dec 19 09:59:55 2014  relations with 2 large ideals: 6263
Fri Dec 19 09:59:55 2014  relations with 3 large ideals: 49691
Fri Dec 19 09:59:55 2014  relations with 4 large ideals: 211239
Fri Dec 19 09:59:55 2014  relations with 5 large ideals: 512523
Fri Dec 19 09:59:55 2014  relations with 6 large ideals: 748864
Fri Dec 19 09:59:55 2014  relations with 7+ large ideals: 951681
Fri Dec 19 09:59:55 2014  commencing 2-way merge
Fri Dec 19 09:59:56 2014  reduce to 1470965 relation sets and 1416084 unique ideals
Fri Dec 19 09:59:56 2014  commencing full merge
Fri Dec 19 10:00:11 2014  memory use: 177.8 MB
Fri Dec 19 10:00:11 2014  found 743932 cycles, need 736284
Fri Dec 19 10:00:11 2014  weight of 736284 cycles is about 51706850 (70.23/cycle)
Fri Dec 19 10:00:11 2014  distribution of cycle lengths:
Fri Dec 19 10:00:11 2014  1 relations: 86118
Fri Dec 19 10:00:11 2014  2 relations: 83881
Fri Dec 19 10:00:11 2014  3 relations: 81436
Fri Dec 19 10:00:11 2014  4 relations: 73171
Fri Dec 19 10:00:11 2014  5 relations: 65954
Fri Dec 19 10:00:11 2014  6 relations: 57449
Fri Dec 19 10:00:11 2014  7 relations: 50043
Fri Dec 19 10:00:11 2014  8 relations: 43683
Fri Dec 19 10:00:11 2014  9 relations: 37182
Fri Dec 19 10:00:11 2014  10+ relations: 157367
Fri Dec 19 10:00:11 2014  heaviest cycle: 24 relations
Fri Dec 19 10:00:11 2014  commencing cycle optimization
Fri Dec 19 10:00:12 2014  start with 4568427 relations
Fri Dec 19 10:00:16 2014  pruned 111763 relations
Fri Dec 19 10:00:16 2014  memory use: 147.1 MB
Fri Dec 19 10:00:16 2014  distribution of cycle lengths:
Fri Dec 19 10:00:16 2014  1 relations: 86118
Fri Dec 19 10:00:16 2014  2 relations: 85513
Fri Dec 19 10:00:16 2014  3 relations: 84080
Fri Dec 19 10:00:16 2014  4 relations: 74862
Fri Dec 19 10:00:16 2014  5 relations: 67561
Fri Dec 19 10:00:16 2014  6 relations: 58288
Fri Dec 19 10:00:16 2014  7 relations: 50715
Fri Dec 19 10:00:16 2014  8 relations: 43843
Fri Dec 19 10:00:16 2014  9 relations: 37085
Fri Dec 19 10:00:16 2014  10+ relations: 148219
Fri Dec 19 10:00:16 2014  heaviest cycle: 24 relations
Fri Dec 19 10:00:17 2014  RelProcTime: 112
Fri Dec 19 10:00:17 2014  
Fri Dec 19 10:00:17 2014  commencing linear algebra
Fri Dec 19 10:00:17 2014  read 736284 cycles
Fri Dec 19 10:00:18 2014  cycles contain 2418224 unique relations
Fri Dec 19 10:00:29 2014  read 2418224 relations
Fri Dec 19 10:00:31 2014  using 20 quadratic characters above 134217594
Fri Dec 19 10:00:38 2014  building initial matrix
Fri Dec 19 10:00:50 2014  memory use: 294.3 MB
Fri Dec 19 10:00:51 2014  read 736284 cycles
Fri Dec 19 10:00:51 2014  matrix is 736109 x 736284 (220.3 MB) with weight 65175034 (88.52/col)
Fri Dec 19 10:00:51 2014  sparse part has weight 49662710 (67.45/col)
Fri Dec 19 10:00:54 2014  filtering completed in 2 passes
Fri Dec 19 10:00:54 2014  matrix is 735542 x 735717 (220.3 MB) with weight 65154817 (88.56/col)
Fri Dec 19 10:00:54 2014  sparse part has weight 49655009 (67.49/col)
Fri Dec 19 10:00:55 2014  matrix starts at (0, 0)
Fri Dec 19 10:00:55 2014  matrix is 735542 x 735717 (220.3 MB) with weight 65154817 (88.56/col)
Fri Dec 19 10:00:55 2014  sparse part has weight 49655009 (67.49/col)
Fri Dec 19 10:00:55 2014  saving the first 48 matrix rows for later
Fri Dec 19 10:00:55 2014  matrix includes 64 packed rows
Fri Dec 19 10:00:56 2014  matrix is 735494 x 735717 (207.7 MB) with weight 51445049 (69.93/col)
Fri Dec 19 10:00:56 2014  sparse part has weight 47100696 (64.02/col)
Fri Dec 19 10:00:56 2014  using block size 65536 for processor cache size 8192 kB
Fri Dec 19 10:00:57 2014  commencing Lanczos iteration (8 threads)
Fri Dec 19 10:00:57 2014  memory use: 202.3 MB
Fri Dec 19 10:01:01 2014  linear algebra at 0.4%, ETA 0h16m
Fri Dec 19 10:14:49 2014  lanczos halted after 11630 iterations (dim = 735492)
Fri Dec 19 10:14:50 2014  recovered 38 nontrivial dependencies
Fri Dec 19 10:14:50 2014  BLanczosTime: 873
Fri Dec 19 10:14:50 2014  
Fri Dec 19 10:14:50 2014  commencing square root phase
Fri Dec 19 10:14:50 2014  reading relations for dependency 1
Fri Dec 19 10:14:50 2014  read 367879 cycles
Fri Dec 19 10:14:50 2014  cycles contain 1207356 unique relations
Fri Dec 19 10:14:59 2014  read 1207356 relations
Fri Dec 19 10:15:01 2014  multiplying 1207356 relations
Fri Dec 19 10:15:22 2014  multiply complete, coefficients have about 29.85 million bits
Fri Dec 19 10:15:22 2014  initial square root is modulo 372991901
Fri Dec 19 10:15:47 2014  Newton iteration failed to converge
Fri Dec 19 10:15:47 2014  algebraic square root failed
Fri Dec 19 10:15:47 2014  reading relations for dependency 2
Fri Dec 19 10:15:48 2014  read 367023 cycles
Fri Dec 19 10:15:48 2014  cycles contain 1208468 unique relations
Fri Dec 19 10:15:56 2014  read 1208468 relations
Fri Dec 19 10:15:59 2014  multiplying 1208468 relations
Fri Dec 19 10:16:19 2014  multiply complete, coefficients have about 29.87 million bits
Fri Dec 19 10:16:19 2014  initial square root is modulo 379558271
Fri Dec 19 10:16:45 2014  Newton iteration failed to converge
Fri Dec 19 10:16:45 2014  algebraic square root failed
Fri Dec 19 10:16:45 2014  reading relations for dependency 3
Fri Dec 19 10:16:45 2014  read 367629 cycles
Fri Dec 19 10:16:45 2014  cycles contain 1207928 unique relations
Fri Dec 19 10:16:54 2014  read 1207928 relations
Fri Dec 19 10:16:57 2014  multiplying 1207928 relations
Fri Dec 19 10:17:17 2014  multiply complete, coefficients have about 29.86 million bits
Fri Dec 19 10:17:17 2014  initial square root is modulo 376482151
Fri Dec 19 10:17:43 2014  sqrtTime: 173
--
n: 603953617253501330987838048880569929387265969681256531515756552852638213374494957843324074389632089803976748824639770017027659
m: 100000000000000000000000000000000
deg: 5
c5: 10
c0: 719
skew: 2.35
# Murphy_E = 4.159e-10
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
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 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:47:28 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 28 秒 (日本時間)
4511e6590 / 4409Pierre JammesDecember 18, 2014 06:29:33 UTC 2014 年 12 月 18 日 (木) 15 時 29 分 33 秒 (日本時間)

10166+7199

c155

name 名前Serge Batalov
date 日付December 11, 2014 01:33:27 UTC 2014 年 12 月 11 日 (木) 10 時 33 分 27 秒 (日本時間)
composite number 合成数
13771024716638978821122494573910210948183580652671806279342662410004053904988184548287329293337228839657354314344983747084387266962645191455822143710276623<155>
prime factors 素因数
577965702853666611666462505241157733<36>
23826716098629165406889456379005401928107495804939237090476665923124812238565831921833907750881186301844600095785599331<119>
factorization results 素因数分解の結果
Input number is 13771024716638978821122494573910210948183580652671806279342662410004053904988184548287329293337228839657354314344983747084387266962645191455822143710276623 (155 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1861143225
Step 1 took 11255ms
Step 2 took 8061ms
********** Factor found in step 2: 577965702853666611666462505241157733
Found probable prime factor of 36 digits: 577965702853666611666462505241157733
Probable prime cofactor 23826716098629165406889456379005401928107495804939237090476665923124812238565831921833907750881186301844600095785599331 has 119 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:47:28 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 28 秒 (日本時間)

10167+7199

c156

name 名前Cyp
date 日付March 6, 2015 18:40:26 UTC 2015 年 3 月 7 日 (土) 3 時 40 分 26 秒 (日本時間)
composite number 合成数
765443919129751286975771216392548924184893606544129407121383217805233575116892581045262034308640189789080071346482399836129424194793540534927171420343747773<156>
prime factors 素因数
2142578348302571587435689476959922256038191737860293812593071775823727321<73>
357253642433269135821377571278984121770566759068752059874197960533397623420610900613<84>
factorization results 素因数分解の結果
03/06/15 13:20:07 v1.34.3, 
03/06/15 13:20:07 v1.34.3, ****************************
03/06/15 13:20:07 v1.34.3, Starting factorization of 765443919129751286975771216392548924184893606544129407121383217805233575116892581045262034308640189789080071346482399836129424194793540534927171420343747773
03/06/15 13:20:07 v1.34.3, using pretesting plan: none
03/06/15 13:20:07 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
03/06/15 13:20:07 v1.34.3, ****************************
03/06/15 13:20:07 v1.34.3, nfs: commencing nfs on c156: 765443919129751286975771216392548924184893606544129407121383217805233575116892581045262034308640189789080071346482399836129424194793540534927171420343747773
03/06/15 13:20:07 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
03/06/15 13:20:07 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/06/15 13:24:36 v1.34.3, nfs: commencing lattice sieving with 8 threads
[76 lines snipped]
03/06/15 19:08:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/06/15 19:13:14 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/06/15 19:17:37 v1.34.3, nfs: commencing msieve filtering
03/06/15 19:19:39 v1.34.3, nfs: commencing msieve linear algebra
03/06/15 19:39:10 v1.34.3, nfs: commencing msieve sqrt
03/06/15 19:40:25 v1.34.3, prp73 = 2142578348302571587435689476959922256038191737860293812593071775823727321
03/06/15 19:40:25 v1.34.3, prp84 = 357253642433269135821377571278984121770566759068752059874197960533397623420610900613
03/06/15 19:40:25 v1.34.3, NFS elapsed time = 22817.5211 seconds.
03/06/15 19:40:25 v1.34.3, 
03/06/15 19:40:25 v1.34.3, 
03/06/15 19:40:25 v1.34.3, Total factoring time = 22817.5220 seconds
--
Fri Mar  6 19:17:37 2015  
Fri Mar  6 19:17:37 2015  commencing relation filtering
Fri Mar  6 19:17:37 2015  estimated available RAM is 15987.3 MB
Fri Mar  6 19:17:37 2015  commencing duplicate removal, pass 1
Fri Mar  6 19:18:07 2015  found 1530042 hash collisions in 10130151 relations
Fri Mar  6 19:18:15 2015  added 367118 free relations
Fri Mar  6 19:18:15 2015  commencing duplicate removal, pass 2
Fri Mar  6 19:18:23 2015  found 1145240 duplicates and 9352029 unique relations
Fri Mar  6 19:18:23 2015  memory use: 41.3 MB
Fri Mar  6 19:18:23 2015  reading ideals above 100000
Fri Mar  6 19:18:23 2015  commencing singleton removal, initial pass
Fri Mar  6 19:19:05 2015  memory use: 344.5 MB
Fri Mar  6 19:19:05 2015  reading all ideals from disk
Fri Mar  6 19:19:05 2015  memory use: 339.9 MB
Fri Mar  6 19:19:05 2015  keeping 10350380 ideals with weight <= 200, target excess is 49480
Fri Mar  6 19:19:06 2015  commencing in-memory singleton removal
Fri Mar  6 19:19:06 2015  begin with 9352029 relations and 10350380 unique ideals
Fri Mar  6 19:19:10 2015  reduce to 3866158 relations and 3662792 ideals in 17 passes
Fri Mar  6 19:19:10 2015  max relations containing the same ideal: 112
Fri Mar  6 19:19:11 2015  removing 542610 relations and 469625 ideals in 72985 cliques
Fri Mar  6 19:19:11 2015  commencing in-memory singleton removal
Fri Mar  6 19:19:11 2015  begin with 3323548 relations and 3662792 unique ideals
Fri Mar  6 19:19:12 2015  reduce to 3259083 relations and 3127119 ideals in 9 passes
Fri Mar  6 19:19:12 2015  max relations containing the same ideal: 97
Fri Mar  6 19:19:13 2015  removing 415376 relations and 342391 ideals in 72985 cliques
Fri Mar  6 19:19:13 2015  commencing in-memory singleton removal
Fri Mar  6 19:19:13 2015  begin with 2843707 relations and 3127119 unique ideals
Fri Mar  6 19:19:14 2015  reduce to 2799979 relations and 2740047 ideals in 9 passes
Fri Mar  6 19:19:14 2015  max relations containing the same ideal: 92
Fri Mar  6 19:19:15 2015  relations with 0 large ideals: 1092
Fri Mar  6 19:19:15 2015  relations with 1 large ideals: 275
Fri Mar  6 19:19:15 2015  relations with 2 large ideals: 4322
Fri Mar  6 19:19:15 2015  relations with 3 large ideals: 37669
Fri Mar  6 19:19:15 2015  relations with 4 large ideals: 176888
Fri Mar  6 19:19:15 2015  relations with 5 large ideals: 478527
Fri Mar  6 19:19:15 2015  relations with 6 large ideals: 798917
Fri Mar  6 19:19:15 2015  relations with 7+ large ideals: 1302289
Fri Mar  6 19:19:15 2015  commencing 2-way merge
Fri Mar  6 19:19:16 2015  reduce to 1667771 relation sets and 1607838 unique ideals
Fri Mar  6 19:19:16 2015  commencing full merge
Fri Mar  6 19:19:33 2015  memory use: 202.8 MB
Fri Mar  6 19:19:33 2015  found 843154 cycles, need 834038
Fri Mar  6 19:19:33 2015  weight of 834038 cycles is about 58557978 (70.21/cycle)
Fri Mar  6 19:19:33 2015  distribution of cycle lengths:
Fri Mar  6 19:19:33 2015  1 relations: 104259
Fri Mar  6 19:19:33 2015  2 relations: 94450
Fri Mar  6 19:19:33 2015  3 relations: 92436
Fri Mar  6 19:19:33 2015  4 relations: 84308
Fri Mar  6 19:19:33 2015  5 relations: 76798
Fri Mar  6 19:19:33 2015  6 relations: 66590
Fri Mar  6 19:19:33 2015  7 relations: 57905
Fri Mar  6 19:19:33 2015  8 relations: 50298
Fri Mar  6 19:19:33 2015  9 relations: 42871
Fri Mar  6 19:19:33 2015  10+ relations: 164123
Fri Mar  6 19:19:33 2015  heaviest cycle: 23 relations
Fri Mar  6 19:19:33 2015  commencing cycle optimization
Fri Mar  6 19:19:34 2015  start with 4988601 relations
Fri Mar  6 19:19:38 2015  pruned 117755 relations
Fri Mar  6 19:19:38 2015  memory use: 163.8 MB
Fri Mar  6 19:19:38 2015  distribution of cycle lengths:
Fri Mar  6 19:19:38 2015  1 relations: 104259
Fri Mar  6 19:19:38 2015  2 relations: 96400
Fri Mar  6 19:19:38 2015  3 relations: 95356
Fri Mar  6 19:19:38 2015  4 relations: 86261
Fri Mar  6 19:19:38 2015  5 relations: 78560
Fri Mar  6 19:19:38 2015  6 relations: 67553
Fri Mar  6 19:19:38 2015  7 relations: 58599
Fri Mar  6 19:19:38 2015  8 relations: 50638
Fri Mar  6 19:19:38 2015  9 relations: 42558
Fri Mar  6 19:19:38 2015  10+ relations: 153854
Fri Mar  6 19:19:38 2015  heaviest cycle: 23 relations
Fri Mar  6 19:19:39 2015  RelProcTime: 122
Fri Mar  6 19:19:39 2015  
Fri Mar  6 19:19:39 2015  commencing linear algebra
Fri Mar  6 19:19:39 2015  read 834038 cycles
Fri Mar  6 19:19:40 2015  cycles contain 2728964 unique relations
Fri Mar  6 19:19:53 2015  read 2728964 relations
Fri Mar  6 19:19:55 2015  using 20 quadratic characters above 134216948
Fri Mar  6 19:20:03 2015  building initial matrix
Fri Mar  6 19:20:18 2015  memory use: 328.9 MB
Fri Mar  6 19:20:18 2015  read 834038 cycles
Fri Mar  6 19:20:18 2015  matrix is 833861 x 834038 (249.9 MB) with weight 73173776 (87.73/col)
Fri Mar  6 19:20:18 2015  sparse part has weight 56336734 (67.55/col)
Fri Mar  6 19:20:22 2015  filtering completed in 2 passes
Fri Mar  6 19:20:22 2015  matrix is 833070 x 833247 (249.8 MB) with weight 73147353 (87.79/col)
Fri Mar  6 19:20:22 2015  sparse part has weight 56326684 (67.60/col)
Fri Mar  6 19:20:24 2015  matrix starts at (0, 0)
Fri Mar  6 19:20:24 2015  matrix is 833070 x 833247 (249.8 MB) with weight 73147353 (87.79/col)
Fri Mar  6 19:20:24 2015  sparse part has weight 56326684 (67.60/col)
Fri Mar  6 19:20:24 2015  saving the first 48 matrix rows for later
Fri Mar  6 19:20:24 2015  matrix includes 64 packed rows
Fri Mar  6 19:20:24 2015  matrix is 833022 x 833247 (236.1 MB) with weight 58309569 (69.98/col)
Fri Mar  6 19:20:24 2015  sparse part has weight 53563873 (64.28/col)
Fri Mar  6 19:20:24 2015  using block size 65536 for processor cache size 8192 kB
Fri Mar  6 19:20:26 2015  commencing Lanczos iteration (8 threads)
Fri Mar  6 19:20:26 2015  memory use: 230.7 MB
Fri Mar  6 19:20:30 2015  linear algebra at 0.4%, ETA 0h18m
Fri Mar  6 19:39:09 2015  lanczos halted after 13174 iterations (dim = 833019)
Fri Mar  6 19:39:10 2015  recovered 37 nontrivial dependencies
Fri Mar  6 19:39:10 2015  BLanczosTime: 1171
Fri Mar  6 19:39:10 2015  
Fri Mar  6 19:39:10 2015  commencing square root phase
Fri Mar  6 19:39:10 2015  reading relations for dependency 1
Fri Mar  6 19:39:10 2015  read 416616 cycles
Fri Mar  6 19:39:10 2015  cycles contain 1365364 unique relations
Fri Mar  6 19:39:20 2015  read 1365364 relations
Fri Mar  6 19:39:23 2015  multiplying 1365364 relations
Fri Mar  6 19:39:50 2015  multiply complete, coefficients have about 39.14 million bits
Fri Mar  6 19:39:50 2015  initial square root is modulo 415951
Fri Mar  6 19:40:25 2015  sqrtTime: 75
--
n: 765443919129751286975771216392548924184893606544129407121383217805233575116892581045262034308640189789080071346482399836129424194793540534927171420343747773
m: 1000000000000000000000000000000000
deg: 5
c5: 100
c0: 719
skew: 1.48
# Murphy_E = 2.228e-10
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
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 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62950300Serge BatalovDecember 10, 2014 19:47:29 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 29 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:17:16 UTC 2015 年 2 月 16 日 (月) 22 時 17 分 16 秒 (日本時間)
2350Ignacio SantosFebruary 21, 2015 20:28:58 UTC 2015 年 2 月 22 日 (日) 5 時 28 分 58 秒 (日本時間)

10171+7199

c121

name 名前Dmitry Domanov
date 日付December 6, 2014 15:45:20 UTC 2014 年 12 月 7 日 (日) 0 時 45 分 20 秒 (日本時間)
composite number 合成数
9006190652338978663781853891636255058289022442678682326509788342842896554187678140661270158397774033301047128762690750891<121>
prime factors 素因数
403047498659652846564240087649<30>
composite cofactor 合成数の残り
22345233954532280655742275797882292443118350701731767293085100288909722979783759087731480459<92>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2414528294
Step 1 took 5969ms
Step 2 took 3397ms
********** Factor found in step 2: 403047498659652846564240087649
Found probable prime factor of 30 digits: 403047498659652846564240087649
Composite cofactor 22345233954532280655742275797882292443118350701731767293085100288909722979783759087731480459 has 92 digits

c92

name 名前Dmitry Domanov
date 日付December 8, 2014 06:42:44 UTC 2014 年 12 月 8 日 (月) 15 時 42 分 44 秒 (日本時間)
composite number 合成数
22345233954532280655742275797882292443118350701731767293085100288909722979783759087731480459<92>
prime factors 素因数
15113576394724560802271044384112437699<38>
1478487511554971967293731820414622132417425055204505241<55>
factorization results 素因数分解の結果
prp38 = 15113576394724560802271044384112437699
prp55 = 1478487511554971967293731820414622132417425055204505241
Lanczos elapsed time = 36.0100 seconds.
Sqrt elapsed time = 0.1800 seconds.
SIQS elapsed time = 815.6496 seconds.
software ソフトウェア
YAFU

ECM

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

10173+7199

c164

name 名前Cyp
date 日付April 23, 2015 16:32:33 UTC 2015 年 4 月 24 日 (金) 1 時 32 分 33 秒 (日本時間)
composite number 合成数
22412695755064986336392518604234678089990955296113764986088485690857460864223153307014673990632698529160543106353098413080440299371460399800271234095964819982035673<164>
prime factors 素因数
3544484918875245771177540760166553691913<40>
18185926784120985769466702067968452073738706408613737090781<59>
347700667653072327347408108184670509627500690185181267105826081541<66>
factorization results 素因数分解の結果
04/23/15 08:22:03 v1.34.3, 
04/23/15 08:22:03 v1.34.3, ****************************
04/23/15 08:22:03 v1.34.3, Starting factorization of 22412695755064986336392518604234678089990955296113764986088485690857460864223153307014673990632698529160543106353098413080440299371460399800271234095964819982035673
04/23/15 08:22:03 v1.34.3, using pretesting plan: none
04/23/15 08:22:03 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
04/23/15 08:22:03 v1.34.3, ****************************
04/23/15 08:22:03 v1.34.3, nfs: commencing nfs on c164: 22412695755064986336392518604234678089990955296113764986088485690857460864223153307014673990632698529160543106353098413080440299371460399800271234095964819982035673
04/23/15 08:22:03 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
04/23/15 08:22:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/23/15 08:27:06 v1.34.3, nfs: commencing lattice sieving with 8 threads
[83 lines snipped]
04/23/15 15:25:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/23/15 15:30:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/23/15 15:35:22 v1.34.3, nfs: commencing msieve filtering
04/23/15 15:37:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/23/15 15:42:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/23/15 15:46:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/23/15 15:52:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/23/15 15:57:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/23/15 16:01:49 v1.34.3, nfs: commencing msieve filtering
04/23/15 16:03:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/23/15 16:08:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
[2 lines snipped]
04/23/15 16:23:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/23/15 16:28:07 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/23/15 16:33:11 v1.34.3, nfs: commencing msieve filtering
04/23/15 16:35:28 v1.34.3, nfs: commencing msieve linear algebra
04/23/15 17:08:10 v1.34.3, nfs: commencing msieve sqrt
04/23/15 17:11:54 v1.34.3, prp59 = 18185926784120985769466702067968452073738706408613737090781
04/23/15 17:11:54 v1.34.3, C106 = 1232419772779168859645006076364968281884255177710045109935412742061825459213290319735213829512339730277933
04/23/15 17:11:54 v1.34.3, NFS elapsed time = 31790.7170 seconds.
04/23/15 17:11:54 v1.34.3, 
04/23/15 17:11:54 v1.34.3, 
04/23/15 17:11:54 v1.34.3, 
04/23/15 17:11:54 v1.34.3, ****************************
04/23/15 17:11:54 v1.34.3, Starting factorization of 1232419772779168859645006076364968281884255177710045109935412742061825459213290319735213829512339730277933
04/23/15 17:11:54 v1.34.3, using pretesting plan: normal
04/23/15 17:11:54 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
04/23/15 17:11:54 v1.34.3, ****************************
04/23/15 17:11:54 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C106
04/23/15 17:11:54 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C106
04/23/15 17:11:54 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C106
04/23/15 17:11:54 v1.34.3, pm1: starting B1 = 150K, B2 = gmp-ecm default on C106
04/23/15 17:11:54 v1.34.3, current ECM pretesting depth: 0.00
04/23/15 17:11:54 v1.34.3, scheduled 30 curves at B1=2000 toward target pretesting depth of 32.62
04/23/15 17:11:54 v1.34.3, Finished 30 curves using Lenstra ECM method on C106 input, B1=2K, B2=gmp-ecm default
04/23/15 17:11:54 v1.34.3, current ECM pretesting depth: 15.18
04/23/15 17:11:54 v1.34.3, scheduled 74 curves at B1=11000 toward target pretesting depth of 32.62
04/23/15 17:11:57 v1.34.3, Finished 74 curves using Lenstra ECM method on C106 input, B1=11K, B2=gmp-ecm default
04/23/15 17:11:57 v1.34.3, current ECM pretesting depth: 20.24
04/23/15 17:11:57 v1.34.3, scheduled 214 curves at B1=50000 toward target pretesting depth of 32.62
04/23/15 17:12:23 v1.34.3, Finished 214 curves using Lenstra ECM method on C106 input, B1=50K, B2=gmp-ecm default
04/23/15 17:12:23 v1.34.3, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C106
04/23/15 17:12:24 v1.34.3, current ECM pretesting depth: 25.33
04/23/15 17:12:24 v1.34.3, scheduled 430 curves at B1=250000 toward target pretesting depth of 32.62
04/23/15 17:16:23 v1.34.3, Finished 430 curves using Lenstra ECM method on C106 input, B1=250K, B2=gmp-ecm default
04/23/15 17:16:23 v1.34.3, pm1: starting B1 = 15M, B2 = gmp-ecm default on C106
04/23/15 17:16:29 v1.34.3, current ECM pretesting depth: 30.45
04/23/15 17:16:29 v1.34.3, scheduled 391 curves at B1=1000000 toward target pretesting depth of 32.62
04/23/15 17:31:08 v1.34.3, Finished 391 curves using Lenstra ECM method on C106 input, B1=1M, B2=gmp-ecm default
04/23/15 17:31:08 v1.34.3, final ECM pretested depth: 32.62
04/23/15 17:31:08 v1.34.3, scheduler: switching to sieve method
04/23/15 17:31:08 v1.34.3, nfs: commencing nfs on c106: 1232419772779168859645006076364968281884255177710045109935412742061825459213290319735213829512339730277933
04/23/15 17:31:08 v1.34.3, nfs: commencing poly selection with 8 threads
04/23/15 17:31:08 v1.34.3, nfs: setting deadline of 251 seconds
04/23/15 17:36:27 v1.34.3, nfs: completed 41 ranges of size 250 in 318.5880 seconds
04/23/15 17:36:27 v1.34.3, nfs: best poly = # norm 1.998517e-14 alpha -4.630870 e 5.369e-09 rroots 4
04/23/15 17:36:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/23/15 17:38:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
[21 lines snipped]
04/23/15 18:13:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/23/15 18:14:51 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/23/15 18:16:33 v1.34.3, nfs: commencing msieve filtering
04/23/15 18:17:17 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/23/15 18:19:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/23/15 18:20:38 v1.34.3, nfs: commencing msieve filtering
04/23/15 18:21:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/23/15 18:23:06 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/23/15 18:24:49 v1.34.3, nfs: commencing msieve filtering
04/23/15 18:25:54 v1.34.3, nfs: commencing msieve linear algebra
04/23/15 18:31:46 v1.34.3, nfs: commencing msieve sqrt
04/23/15 18:32:26 v1.34.3, prp40 = 3544484918875245771177540760166553691913
04/23/15 18:32:26 v1.34.3, prp66 = 347700667653072327347408108184670509627500690185181267105826081541
04/23/15 18:32:26 v1.34.3, NFS elapsed time = 3677.8119 seconds.
04/23/15 18:32:26 v1.34.3, 
04/23/15 18:32:26 v1.34.3, 
04/23/15 18:32:26 v1.34.3, Total factoring time = 4832.2294 seconds
04/23/15 18:32:26 v1.34.3, Total factoring time = 36622.9895 seconds
--
Thu Apr 23 15:35:22 2015  
Thu Apr 23 15:35:22 2015  commencing relation filtering
Thu Apr 23 15:35:22 2015  estimated available RAM is 15987.3 MB
Thu Apr 23 15:35:22 2015  commencing duplicate removal, pass 1
Thu Apr 23 15:35:53 2015  found 1445562 hash collisions in 10142428 relations
Thu Apr 23 15:36:02 2015  added 371573 free relations
Thu Apr 23 15:36:02 2015  commencing duplicate removal, pass 2
Thu Apr 23 15:36:10 2015  found 1031139 duplicates and 9482862 unique relations
Thu Apr 23 15:36:10 2015  memory use: 41.3 MB
Thu Apr 23 15:36:10 2015  reading ideals above 100000
Thu Apr 23 15:36:10 2015  commencing singleton removal, initial pass
Thu Apr 23 15:36:56 2015  memory use: 344.5 MB
Thu Apr 23 15:36:56 2015  reading all ideals from disk
Thu Apr 23 15:36:56 2015  memory use: 348.3 MB
Thu Apr 23 15:36:56 2015  keeping 10946969 ideals with weight <= 200, target excess is 48824
Thu Apr 23 15:36:57 2015  commencing in-memory singleton removal
Thu Apr 23 15:36:57 2015  begin with 9482862 relations and 10946969 unique ideals
Thu Apr 23 15:37:01 2015  reduce to 3293614 relations and 3431575 ideals in 21 passes
Thu Apr 23 15:37:01 2015  max relations containing the same ideal: 99
Thu Apr 23 16:01:49 2015  
Thu Apr 23 16:01:49 2015  commencing relation filtering
Thu Apr 23 16:01:49 2015  estimated available RAM is 15987.3 MB
Thu Apr 23 16:01:49 2015  commencing duplicate removal, pass 1
Thu Apr 23 16:02:23 2015  found 1615578 hash collisions in 11046213 relations
Thu Apr 23 16:02:31 2015  added 1171 free relations
Thu Apr 23 16:02:31 2015  commencing duplicate removal, pass 2
Thu Apr 23 16:02:40 2015  found 1126653 duplicates and 9920731 unique relations
Thu Apr 23 16:02:40 2015  memory use: 41.3 MB
Thu Apr 23 16:02:40 2015  reading ideals above 100000
Thu Apr 23 16:02:40 2015  commencing singleton removal, initial pass
Thu Apr 23 16:03:26 2015  memory use: 344.5 MB
Thu Apr 23 16:03:26 2015  reading all ideals from disk
Thu Apr 23 16:03:26 2015  memory use: 364.6 MB
Thu Apr 23 16:03:26 2015  keeping 11118024 ideals with weight <= 200, target excess is 51330
Thu Apr 23 16:03:27 2015  commencing in-memory singleton removal
Thu Apr 23 16:03:27 2015  begin with 9920731 relations and 11118024 unique ideals
Thu Apr 23 16:03:31 2015  reduce to 3930945 relations and 3906430 ideals in 19 passes
Thu Apr 23 16:03:31 2015  max relations containing the same ideal: 107
Thu Apr 23 16:33:11 2015  
Thu Apr 23 16:33:11 2015  commencing relation filtering
Thu Apr 23 16:33:11 2015  estimated available RAM is 15987.3 MB
Thu Apr 23 16:33:11 2015  commencing duplicate removal, pass 1
Thu Apr 23 16:33:47 2015  found 1775185 hash collisions in 11682986 relations
Thu Apr 23 16:33:55 2015  added 1205 free relations
Thu Apr 23 16:33:55 2015  commencing duplicate removal, pass 2
Thu Apr 23 16:34:05 2015  found 1245024 duplicates and 10439167 unique relations
Thu Apr 23 16:34:05 2015  memory use: 45.3 MB
Thu Apr 23 16:34:05 2015  reading ideals above 720000
Thu Apr 23 16:34:05 2015  commencing singleton removal, initial pass
Thu Apr 23 16:34:49 2015  memory use: 344.5 MB
Thu Apr 23 16:34:49 2015  reading all ideals from disk
Thu Apr 23 16:34:49 2015  memory use: 309.7 MB
Thu Apr 23 16:34:49 2015  keeping 11245902 ideals with weight <= 200, target excess is 116113
Thu Apr 23 16:34:50 2015  commencing in-memory singleton removal
Thu Apr 23 16:34:50 2015  begin with 10439167 relations and 11245902 unique ideals
Thu Apr 23 16:34:54 2015  reduce to 4659423 relations and 4353732 ideals in 17 passes
Thu Apr 23 16:34:54 2015  max relations containing the same ideal: 74
Thu Apr 23 16:34:55 2015  removing 651130 relations and 565630 ideals in 85500 cliques
Thu Apr 23 16:34:56 2015  commencing in-memory singleton removal
Thu Apr 23 16:34:56 2015  begin with 4008293 relations and 4353732 unique ideals
Thu Apr 23 16:34:57 2015  reduce to 3927552 relations and 3705369 ideals in 11 passes
Thu Apr 23 16:34:57 2015  max relations containing the same ideal: 64
Thu Apr 23 16:34:58 2015  removing 496614 relations and 411114 ideals in 85500 cliques
Thu Apr 23 16:34:59 2015  commencing in-memory singleton removal
Thu Apr 23 16:34:59 2015  begin with 3430938 relations and 3705369 unique ideals
Thu Apr 23 16:35:00 2015  reduce to 3376536 relations and 3238661 ideals in 9 passes
Thu Apr 23 16:35:00 2015  max relations containing the same ideal: 58
Thu Apr 23 16:35:01 2015  relations with 0 large ideals: 2904
Thu Apr 23 16:35:01 2015  relations with 1 large ideals: 2124
Thu Apr 23 16:35:01 2015  relations with 2 large ideals: 30390
Thu Apr 23 16:35:01 2015  relations with 3 large ideals: 174695
Thu Apr 23 16:35:01 2015  relations with 4 large ideals: 531659
Thu Apr 23 16:35:01 2015  relations with 5 large ideals: 917544
Thu Apr 23 16:35:01 2015  relations with 6 large ideals: 957365
Thu Apr 23 16:35:01 2015  relations with 7+ large ideals: 759855
Thu Apr 23 16:35:01 2015  commencing 2-way merge
Thu Apr 23 16:35:02 2015  reduce to 2019627 relation sets and 1881752 unique ideals
Thu Apr 23 16:35:02 2015  commencing full merge
Thu Apr 23 16:35:20 2015  memory use: 225.0 MB
Thu Apr 23 16:35:20 2015  found 1015790 cycles, need 995952
Thu Apr 23 16:35:20 2015  weight of 995952 cycles is about 70003060 (70.29/cycle)
Thu Apr 23 16:35:20 2015  distribution of cycle lengths:
Thu Apr 23 16:35:20 2015  1 relations: 129011
Thu Apr 23 16:35:20 2015  2 relations: 114808
Thu Apr 23 16:35:20 2015  3 relations: 110595
Thu Apr 23 16:35:20 2015  4 relations: 100825
Thu Apr 23 16:35:20 2015  5 relations: 91235
Thu Apr 23 16:35:20 2015  6 relations: 78492
Thu Apr 23 16:35:20 2015  7 relations: 67904
Thu Apr 23 16:35:20 2015  8 relations: 59424
Thu Apr 23 16:35:20 2015  9 relations: 50835
Thu Apr 23 16:35:20 2015  10+ relations: 192823
Thu Apr 23 16:35:20 2015  heaviest cycle: 22 relations
Thu Apr 23 16:35:21 2015  commencing cycle optimization
Thu Apr 23 16:35:22 2015  start with 5868073 relations
Thu Apr 23 16:35:26 2015  pruned 143052 relations
Thu Apr 23 16:35:26 2015  memory use: 193.6 MB
Thu Apr 23 16:35:26 2015  distribution of cycle lengths:
Thu Apr 23 16:35:26 2015  1 relations: 129011
Thu Apr 23 16:35:26 2015  2 relations: 117350
Thu Apr 23 16:35:26 2015  3 relations: 114459
Thu Apr 23 16:35:26 2015  4 relations: 103225
Thu Apr 23 16:35:26 2015  5 relations: 93325
Thu Apr 23 16:35:26 2015  6 relations: 79594
Thu Apr 23 16:35:26 2015  7 relations: 68733
Thu Apr 23 16:35:26 2015  8 relations: 59577
Thu Apr 23 16:35:26 2015  9 relations: 50669
Thu Apr 23 16:35:26 2015  10+ relations: 180009
Thu Apr 23 16:35:26 2015  heaviest cycle: 21 relations
Thu Apr 23 16:35:27 2015  RelProcTime: 136
Thu Apr 23 16:35:28 2015  
Thu Apr 23 16:35:28 2015  commencing linear algebra
Thu Apr 23 16:35:28 2015  read 995952 cycles
Thu Apr 23 16:35:29 2015  cycles contain 3235457 unique relations
Thu Apr 23 16:35:45 2015  read 3235457 relations
Thu Apr 23 16:35:48 2015  using 20 quadratic characters above 134215814
Thu Apr 23 16:35:58 2015  building initial matrix
Thu Apr 23 16:36:15 2015  memory use: 400.7 MB
Thu Apr 23 16:36:15 2015  read 995952 cycles
Thu Apr 23 16:36:15 2015  matrix is 995773 x 995952 (298.4 MB) with weight 89414704 (89.78/col)
Thu Apr 23 16:36:15 2015  sparse part has weight 67275444 (67.55/col)
Thu Apr 23 16:36:21 2015  filtering completed in 2 passes
Thu Apr 23 16:36:21 2015  matrix is 993921 x 994099 (298.2 MB) with weight 89343966 (89.87/col)
Thu Apr 23 16:36:21 2015  sparse part has weight 67246570 (67.65/col)
Thu Apr 23 16:36:24 2015  matrix starts at (0, 0)
Thu Apr 23 16:36:24 2015  matrix is 993921 x 994099 (298.2 MB) with weight 89343966 (89.87/col)
Thu Apr 23 16:36:24 2015  sparse part has weight 67246570 (67.65/col)
Thu Apr 23 16:36:24 2015  saving the first 48 matrix rows for later
Thu Apr 23 16:36:24 2015  matrix includes 64 packed rows
Thu Apr 23 16:36:24 2015  matrix is 993873 x 994099 (283.4 MB) with weight 70974220 (71.40/col)
Thu Apr 23 16:36:24 2015  sparse part has weight 64346393 (64.73/col)
Thu Apr 23 16:36:24 2015  using block size 65536 for processor cache size 8192 kB
Thu Apr 23 16:36:26 2015  commencing Lanczos iteration (8 threads)
Thu Apr 23 16:36:26 2015  memory use: 275.9 MB
Thu Apr 23 16:36:31 2015  linear algebra at 0.3%, ETA 0h27m
Thu Apr 23 17:08:10 2015  lanczos halted after 15717 iterations (dim = 993871)
Thu Apr 23 17:08:10 2015  recovered 37 nontrivial dependencies
Thu Apr 23 17:08:10 2015  BLanczosTime: 1962
Thu Apr 23 17:08:10 2015  
Thu Apr 23 17:08:10 2015  commencing square root phase
Thu Apr 23 17:08:10 2015  reading relations for dependency 1
Thu Apr 23 17:08:11 2015  read 497204 cycles
Thu Apr 23 17:08:11 2015  cycles contain 1619110 unique relations
Thu Apr 23 17:08:23 2015  read 1619110 relations
Thu Apr 23 17:08:27 2015  multiplying 1619110 relations
Thu Apr 23 17:09:08 2015  multiply complete, coefficients have about 51.57 million bits
Thu Apr 23 17:09:08 2015  initial square root is modulo 25313521
Thu Apr 23 17:10:00 2015  GCD is N, no factor found
Thu Apr 23 17:10:00 2015  reading relations for dependency 2
Thu Apr 23 17:10:00 2015  read 497720 cycles
Thu Apr 23 17:10:01 2015  cycles contain 1616962 unique relations
Thu Apr 23 17:10:12 2015  read 1616962 relations
Thu Apr 23 17:10:17 2015  multiplying 1616962 relations
Thu Apr 23 17:10:57 2015  multiply complete, coefficients have about 51.50 million bits
Thu Apr 23 17:10:57 2015  initial square root is modulo 24762911
Thu Apr 23 17:11:54 2015  sqrtTime: 224
Thu Apr 23 18:16:33 2015  
Thu Apr 23 18:16:33 2015  commencing relation filtering
Thu Apr 23 18:16:33 2015  estimated available RAM is 15987.3 MB
Thu Apr 23 18:16:33 2015  commencing duplicate removal, pass 1
Thu Apr 23 18:16:49 2015  found 483210 hash collisions in 4613573 relations
Thu Apr 23 18:16:52 2015  added 159500 free relations
Thu Apr 23 18:16:52 2015  commencing duplicate removal, pass 2
Thu Apr 23 18:16:56 2015  found 255680 duplicates and 4517393 unique relations
Thu Apr 23 18:16:56 2015  memory use: 20.6 MB
Thu Apr 23 18:16:56 2015  reading ideals above 100000
Thu Apr 23 18:16:56 2015  commencing singleton removal, initial pass
Thu Apr 23 18:17:15 2015  memory use: 172.2 MB
Thu Apr 23 18:17:15 2015  reading all ideals from disk
Thu Apr 23 18:17:15 2015  memory use: 145.7 MB
Thu Apr 23 18:17:15 2015  keeping 5533639 ideals with weight <= 200, target excess is 21538
Thu Apr 23 18:17:15 2015  commencing in-memory singleton removal
Thu Apr 23 18:17:16 2015  begin with 4517393 relations and 5533639 unique ideals
Thu Apr 23 18:17:17 2015  reduce to 727339 relations and 867721 ideals in 48 passes
Thu Apr 23 18:17:17 2015  max relations containing the same ideal: 57
Thu Apr 23 18:20:38 2015  
Thu Apr 23 18:20:38 2015  commencing relation filtering
Thu Apr 23 18:20:38 2015  estimated available RAM is 15987.3 MB
Thu Apr 23 18:20:38 2015  commencing duplicate removal, pass 1
Thu Apr 23 18:20:55 2015  found 572660 hash collisions in 5150383 relations
Thu Apr 23 18:20:58 2015  added 1139 free relations
Thu Apr 23 18:20:58 2015  commencing duplicate removal, pass 2
Thu Apr 23 18:21:02 2015  found 293332 duplicates and 4858190 unique relations
Thu Apr 23 18:21:02 2015  memory use: 20.6 MB
Thu Apr 23 18:21:02 2015  reading ideals above 100000
Thu Apr 23 18:21:02 2015  commencing singleton removal, initial pass
Thu Apr 23 18:21:23 2015  memory use: 172.2 MB
Thu Apr 23 18:21:24 2015  reading all ideals from disk
Thu Apr 23 18:21:24 2015  memory use: 156.8 MB
Thu Apr 23 18:21:24 2015  keeping 5693321 ideals with weight <= 200, target excess is 22954
Thu Apr 23 18:21:24 2015  commencing in-memory singleton removal
Thu Apr 23 18:21:24 2015  begin with 4858190 relations and 5693321 unique ideals
Thu Apr 23 18:21:26 2015  reduce to 1311212 relations and 1377001 ideals in 25 passes
Thu Apr 23 18:21:26 2015  max relations containing the same ideal: 85
Thu Apr 23 18:24:49 2015  
Thu Apr 23 18:24:49 2015  commencing relation filtering
Thu Apr 23 18:24:49 2015  estimated available RAM is 15987.3 MB
Thu Apr 23 18:24:49 2015  commencing duplicate removal, pass 1
Thu Apr 23 18:25:06 2015  found 651282 hash collisions in 5543554 relations
Thu Apr 23 18:25:09 2015  added 984 free relations
Thu Apr 23 18:25:09 2015  commencing duplicate removal, pass 2
Thu Apr 23 18:25:13 2015  found 334773 duplicates and 5209765 unique relations
Thu Apr 23 18:25:13 2015  memory use: 20.6 MB
Thu Apr 23 18:25:13 2015  reading ideals above 100000
Thu Apr 23 18:25:13 2015  commencing singleton removal, initial pass
Thu Apr 23 18:25:35 2015  memory use: 172.2 MB
Thu Apr 23 18:25:35 2015  reading all ideals from disk
Thu Apr 23 18:25:35 2015  memory use: 168.3 MB
Thu Apr 23 18:25:36 2015  keeping 5843561 ideals with weight <= 200, target excess is 24631
Thu Apr 23 18:25:36 2015  commencing in-memory singleton removal
Thu Apr 23 18:25:36 2015  begin with 5209765 relations and 5843561 unique ideals
Thu Apr 23 18:25:38 2015  reduce to 1812656 relations and 1769263 ideals in 24 passes
Thu Apr 23 18:25:38 2015  max relations containing the same ideal: 106
Thu Apr 23 18:25:39 2015  relations with 0 large ideals: 468
Thu Apr 23 18:25:39 2015  relations with 1 large ideals: 207
Thu Apr 23 18:25:39 2015  relations with 2 large ideals: 3166
Thu Apr 23 18:25:39 2015  relations with 3 large ideals: 28246
Thu Apr 23 18:25:39 2015  relations with 4 large ideals: 136566
Thu Apr 23 18:25:39 2015  relations with 5 large ideals: 389540
Thu Apr 23 18:25:39 2015  relations with 6 large ideals: 549932
Thu Apr 23 18:25:39 2015  relations with 7+ large ideals: 704531
Thu Apr 23 18:25:39 2015  commencing 2-way merge
Thu Apr 23 18:25:39 2015  reduce to 994820 relation sets and 951863 unique ideals
Thu Apr 23 18:25:39 2015  ignored 436 oversize relation sets
Thu Apr 23 18:25:39 2015  commencing full merge
Thu Apr 23 18:25:50 2015  memory use: 94.8 MB
Thu Apr 23 18:25:50 2015  found 431412 cycles, need 426063
Thu Apr 23 18:25:50 2015  weight of 426063 cycles is about 29842655 (70.04/cycle)
Thu Apr 23 18:25:50 2015  distribution of cycle lengths:
Thu Apr 23 18:25:50 2015  1 relations: 51058
Thu Apr 23 18:25:50 2015  2 relations: 48562
Thu Apr 23 18:25:50 2015  3 relations: 46494
Thu Apr 23 18:25:50 2015  4 relations: 41028
Thu Apr 23 18:25:50 2015  5 relations: 36894
Thu Apr 23 18:25:50 2015  6 relations: 30959
Thu Apr 23 18:25:50 2015  7 relations: 26548
Thu Apr 23 18:25:50 2015  8 relations: 23042
Thu Apr 23 18:25:50 2015  9 relations: 19616
Thu Apr 23 18:25:50 2015  10+ relations: 101862
Thu Apr 23 18:25:50 2015  heaviest cycle: 28 relations
Thu Apr 23 18:25:50 2015  commencing cycle optimization
Thu Apr 23 18:25:50 2015  start with 2842180 relations
Thu Apr 23 18:25:53 2015  pruned 65427 relations
Thu Apr 23 18:25:53 2015  memory use: 93.5 MB
Thu Apr 23 18:25:53 2015  distribution of cycle lengths:
Thu Apr 23 18:25:53 2015  1 relations: 51058
Thu Apr 23 18:25:53 2015  2 relations: 49671
Thu Apr 23 18:25:53 2015  3 relations: 48012
Thu Apr 23 18:25:53 2015  4 relations: 41887
Thu Apr 23 18:25:53 2015  5 relations: 37693
Thu Apr 23 18:25:53 2015  6 relations: 31198
Thu Apr 23 18:25:53 2015  7 relations: 26777
Thu Apr 23 18:25:53 2015  8 relations: 23006
Thu Apr 23 18:25:53 2015  9 relations: 19354
Thu Apr 23 18:25:53 2015  10+ relations: 97407
Thu Apr 23 18:25:53 2015  heaviest cycle: 28 relations
Thu Apr 23 18:25:54 2015  RelProcTime: 65
Thu Apr 23 18:25:54 2015  
Thu Apr 23 18:25:54 2015  commencing linear algebra
Thu Apr 23 18:25:54 2015  read 426063 cycles
Thu Apr 23 18:25:54 2015  cycles contain 1568689 unique relations
Thu Apr 23 18:26:01 2015  read 1568689 relations
Thu Apr 23 18:26:03 2015  using 20 quadratic characters above 67108820
Thu Apr 23 18:26:07 2015  building initial matrix
Thu Apr 23 18:26:16 2015  memory use: 188.5 MB
Thu Apr 23 18:26:16 2015  read 426063 cycles
Thu Apr 23 18:26:16 2015  matrix is 425851 x 426063 (126.9 MB) with weight 39844020 (93.52/col)
Thu Apr 23 18:26:16 2015  sparse part has weight 28590633 (67.10/col)
Thu Apr 23 18:26:19 2015  filtering completed in 3 passes
Thu Apr 23 18:26:19 2015  matrix is 423178 x 423378 (126.5 MB) with weight 39672053 (93.70/col)
Thu Apr 23 18:26:19 2015  sparse part has weight 28502048 (67.32/col)
Thu Apr 23 18:26:20 2015  matrix starts at (0, 0)
Thu Apr 23 18:26:20 2015  matrix is 423178 x 423378 (126.5 MB) with weight 39672053 (93.70/col)
Thu Apr 23 18:26:20 2015  sparse part has weight 28502048 (67.32/col)
Thu Apr 23 18:26:20 2015  saving the first 48 matrix rows for later
Thu Apr 23 18:26:20 2015  matrix includes 64 packed rows
Thu Apr 23 18:26:20 2015  matrix is 423130 x 423378 (121.5 MB) with weight 31407478 (74.18/col)
Thu Apr 23 18:26:20 2015  sparse part has weight 27607386 (65.21/col)
Thu Apr 23 18:26:20 2015  using block size 65536 for processor cache size 8192 kB
Thu Apr 23 18:26:21 2015  commencing Lanczos iteration (8 threads)
Thu Apr 23 18:26:21 2015  memory use: 115.9 MB
Thu Apr 23 18:26:30 2015  linear algebra at 2.9%, ETA 0h 5m
Thu Apr 23 18:31:45 2015  lanczos halted after 6694 iterations (dim = 423128)
Thu Apr 23 18:31:46 2015  recovered 29 nontrivial dependencies
Thu Apr 23 18:31:46 2015  BLanczosTime: 352
Thu Apr 23 18:31:46 2015  
Thu Apr 23 18:31:46 2015  commencing square root phase
Thu Apr 23 18:31:46 2015  reading relations for dependency 1
Thu Apr 23 18:31:46 2015  read 212068 cycles
Thu Apr 23 18:31:46 2015  cycles contain 783030 unique relations
Thu Apr 23 18:31:51 2015  read 783030 relations
Thu Apr 23 18:31:53 2015  multiplying 783030 relations
Thu Apr 23 18:32:07 2015  multiply complete, coefficients have about 32.00 million bits
Thu Apr 23 18:32:07 2015  initial square root is modulo 1552478701
Thu Apr 23 18:32:26 2015  sqrtTime: 40
--
n: 1232419772779168859645006076364968281884255177710045109935412742061825459213290319735213829512339730277933
skew: 6674655.19
c0: 552662057239823089265089095000
c1: -4468471557924663990220
c2: -54081944823870341
c3: 219025694
c4: 744
Y0: -35875371939136214492149643
Y1: 20375995216631
rlim: 2640000
alim: 2640000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62930280CypDecember 8, 2014 11:08:37 UTC 2014 年 12 月 8 日 (月) 20 時 8 分 37 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:17:41 UTC 2015 年 2 月 16 日 (月) 22 時 17 分 41 秒 (日本時間)
2350Ignacio SantosMarch 7, 2015 22:45:31 UTC 2015 年 3 月 8 日 (日) 7 時 45 分 31 秒 (日本時間)

10174+7199

c155

name 名前Ignacio Santos
date 日付March 9, 2015 14:49:30 UTC 2015 年 3 月 9 日 (月) 23 時 49 分 30 秒 (日本時間)
composite number 合成数
88050114707469539526530643168820439532352406521567353640771954276094090086933341333931724333377878650087044582915605798467704325668013106766181012383812481<155>
prime factors 素因数
7926986349156191708812514330744416220209<40>
11107640511686040519777270710647097607616770316562470533342020083590751066361943893686291621779831178054985683683409<116>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:928577837
Step 1 took 12422ms
Step 2 took 7172ms
********** Factor found in step 2: 7926986349156191708812514330744416220209
Found probable prime factor of 40 digits: 7926986349156191708812514330744416220209
Probable prime cofactor 11107640511686040519777270710647097607616770316562470533342020083590751066361943893686291621779831178054985683683409 has 116 digits
 
software ソフトウェア
GMP-ECM 7.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 10, 2014 19:47:29 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 29 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:18:00 UTC 2015 年 2 月 16 日 (月) 22 時 18 分 0 秒 (日本時間)

10175+7199

c155

name 名前Jo Yeong Uk
date 日付May 19, 2015 14:49:28 UTC 2015 年 5 月 19 日 (火) 23 時 49 分 28 秒 (日本時間)
composite number 合成数
12401018296507485930419869799553699624109867235768994383941446500944089860196205778265883641035750566722085172489939475082785056123064302247310302596976859<155>
prime factors 素因数
5601323121397978152603989750320605097420183348897234336679430427<64>
2213944460574600799580002225197996766238717374797955519516646745333917112055879964011434817<91>
factorization results 素因数分解の結果
Number: 11191_175
N=12401018296507485930419869799553699624109867235768994383941446500944089860196205778265883641035750566722085172489939475082785056123064302247310302596976859
  ( 155 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=5601323121397978152603989750320605097420183348897234336679430427
 r2=2213944460574600799580002225197996766238717374797955519516646745333917112055879964011434817
Version: 
Total time: 25.34 hours.
Scaled time: 131.59 units (timescale=5.192).
Factorization parameters were as follows:
n: 12401018296507485930419869799553699624109867235768994383941446500944089860196205778265883641035750566722085172489939475082785056123064302247310302596976859
m: 100000000000000000000000000000000000
deg: 5
c5: 1
c0: 719
skew: 3.73
# Murphy_E = 1.729e-10
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [3600000, 6500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 15852614
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1112037 x 1112285
Total sieving time: 22.58 hours.
Total relation processing time: 1.13 hours.
Matrix solve time: 1.32 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,52,52,2.5,2.5,100000
total time: 25.34 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.77 BogoMIPS (lpj=3399888)
Total of 12 processors activated (81597.31 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62930280CypDecember 9, 2014 12:26:55 UTC 2014 年 12 月 9 日 (火) 21 時 26 分 55 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:18:18 UTC 2015 年 2 月 16 日 (月) 22 時 18 分 18 秒 (日本時間)
2350Ignacio SantosMarch 19, 2015 22:11:48 UTC 2015 年 3 月 20 日 (金) 7 時 11 分 48 秒 (日本時間)

10177+7199

c164

name 名前KTakahashi
date 日付May 12, 2015 20:38:11 UTC 2015 年 5 月 13 日 (水) 5 時 38 分 11 秒 (日本時間)
composite number 合成数
67759305759734150617000311453812037598182677952855336003829429519430076082927986298244974055502485245956925102464123115502816168473587193739200495156352545332385547<164>
prime factors 素因数
62982913478938565267186311583865751162177011399457<50>
1075836318407099522639930015388469670960836770043794065462867305830000455217550063163292444270528519450993891891371<115>
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 67759305759734150617000311453812037598182677952855336003829429519430076082927986298244974055502485245956925102464123115502816168473587193739200495156352545332385547 (164 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3828681503
Step 1 took 48626ms
Step 2 took 19703ms
********** Factor found in step 2: 62982913478938565267186311583865751162177011399457
Found probable prime factor of 50 digits: 62982913478938565267186311583865751162177011399457
Probable prime cofactor 1075836318407099522639930015388469670960836770043794065462867305830000455217550063163292444270528519450993891891371 has 115 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 10, 2014 19:47:30 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 30 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:18:38 UTC 2015 年 2 月 16 日 (月) 22 時 18 分 38 秒 (日本時間)

10178+7199

c130

name 名前Pierre Jammes
date 日付March 4, 2015 12:20:37 UTC 2015 年 3 月 4 日 (水) 21 時 20 分 37 秒 (日本時間)
composite number 合成数
2323697606896279228020214592761519358780552489744816494981072815780124771507545886358801802908687545753407317658932837720569754743<130>
prime factors 素因数
17575261436217742269988182853305546409<38>
132214113305181483552679117446659857531317745595665263280247493302983995106938541995408631327<93>
factorization results 素因数分解の結果
Using B1=11000000, B2=144269945836, polynomial Dickson(12), sigma=2158612531
Step 1 took 67920ms
Step 2 took 53312ms
********** Factor found in step 2: 17575261436217742269988182853305546409
Found probable prime factor of 38 digits: 17575261436217742269988182853305546409
Probable prime cofactor 132214113305181483552679117446659857531317745595665263280247493302983995106938541995408631327 has 93 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
debian 8

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6580 / 2318280CypDecember 9, 2014 02:35:20 UTC 2014 年 12 月 9 日 (火) 11 時 35 分 20 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:18:59 UTC 2015 年 2 月 16 日 (月) 22 時 18 分 59 秒 (日本時間)

10179+7199

c156

name 名前KTakahashi
date 日付May 4, 2015 05:16:12 UTC 2015 年 5 月 4 日 (月) 14 時 16 分 12 秒 (日本時間)
composite number 合成数
192464504272145415172853706636891799373917584810112551204891829116518987410569340177119781177415999677620139033091136621418044699549122037782674816810715809<156>
prime factors 素因数
24262324629648432843684315659834143<35>
composite cofactor 合成数の残り
7932648961301704997021512285888557108170246204600353105336742028885488298181750187797797650427226467350901799091617753663<121>
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 192464504272145415172853706636891799373917584810112551204891829116518987410569340177119781177415999677620139033091136621418044699549122037782674816810715809 (156 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2407504090
Step 1 took 49452ms
Step 2 took 19578ms
********** Factor found in step 2: 24262324629648432843684315659834143
Found probable prime factor of 35 digits: 24262324629648432843684315659834143
Composite cofactor 7932648961301704997021512285888557108170246204600353105336742028885488298181750187797797650427226467350901799091617753663 has 121 digits

c121

name 名前Cyp
date 日付May 5, 2015 10:50:54 UTC 2015 年 5 月 5 日 (火) 19 時 50 分 54 秒 (日本時間)
composite number 合成数
7932648961301704997021512285888557108170246204600353105336742028885488298181750187797797650427226467350901799091617753663<121>
prime factors 素因数
366472094072541576537209760246261430393770728511847162946143<60>
21645983663169374136292404946725782722829718574394956548932641<62>
factorization results 素因数分解の結果
05/05/15 07:15:34 v1.34.3, 
05/05/15 07:15:34 v1.34.3, ****************************
05/05/15 07:15:34 v1.34.3, Starting factorization of 7932648961301704997021512285888557108170246204600353105336742028885488298181750187797797650427226467350901799091617753663
05/05/15 07:15:34 v1.34.3, using pretesting plan: none
05/05/15 07:15:34 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
05/05/15 07:15:34 v1.34.3, ****************************
05/05/15 07:15:34 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C121
05/05/15 07:15:34 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C121
05/05/15 07:15:34 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C121
05/05/15 07:15:34 v1.34.3, final ECM pretested depth: 0.00
05/05/15 07:15:34 v1.34.3, scheduler: switching to sieve method
05/05/15 07:15:34 v1.34.3, nfs: commencing nfs on c121: 7932648961301704997021512285888557108170246204600353105336742028885488298181750187797797650427226467350901799091617753663
05/05/15 07:15:34 v1.34.3, nfs: commencing poly selection with 8 threads
05/05/15 07:15:34 v1.34.3, nfs: setting deadline of 2117 seconds
05/05/15 07:51:49 v1.34.3, nfs: completed 164 ranges of size 250 in 2174.2356 seconds
05/05/15 07:51:49 v1.34.3, nfs: best poly = # norm 1.510089e-11 alpha -6.852751 e 2.494e-10 rroots 5
05/05/15 07:51:49 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/05/15 07:57:31 v1.34.3, nfs: commencing lattice sieving with 8 threads
[41 lines snipped]
05/05/15 11:56:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/05/15 12:02:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/05/15 12:07:59 v1.34.3, nfs: commencing msieve filtering
05/05/15 12:09:41 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/05/15 12:15:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/05/15 12:21:36 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/05/15 12:27:31 v1.34.3, nfs: commencing msieve filtering
05/05/15 12:29:40 v1.34.3, nfs: commencing msieve linear algebra
05/05/15 12:45:38 v1.34.3, nfs: commencing msieve sqrt
05/05/15 12:50:52 v1.34.3, prp60 = 366472094072541576537209760246261430393770728511847162946143
05/05/15 12:50:52 v1.34.3, prp62 = 21645983663169374136292404946725782722829718574394956548932641
05/05/15 12:50:52 v1.34.3, NFS elapsed time = 20117.7437 seconds.
05/05/15 12:50:52 v1.34.3, 
05/05/15 12:50:52 v1.34.3, 
05/05/15 12:50:52 v1.34.3, Total factoring time = 20117.7656 seconds
--
Tue May  5 12:07:59 2015  
Tue May  5 12:07:59 2015  commencing relation filtering
Tue May  5 12:07:59 2015  estimated available RAM is 15987.3 MB
Tue May  5 12:07:59 2015  commencing duplicate removal, pass 1
Tue May  5 12:08:32 2015  found 1178528 hash collisions in 10265536 relations
Tue May  5 12:08:43 2015  added 62933 free relations
Tue May  5 12:08:43 2015  commencing duplicate removal, pass 2
Tue May  5 12:08:51 2015  found 640634 duplicates and 9687835 unique relations
Tue May  5 12:08:51 2015  memory use: 41.3 MB
Tue May  5 12:08:51 2015  reading ideals above 100000
Tue May  5 12:08:51 2015  commencing singleton removal, initial pass
Tue May  5 12:09:36 2015  memory use: 344.5 MB
Tue May  5 12:09:36 2015  reading all ideals from disk
Tue May  5 12:09:36 2015  memory use: 346.1 MB
Tue May  5 12:09:37 2015  keeping 10890832 ideals with weight <= 200, target excess is 49904
Tue May  5 12:09:37 2015  commencing in-memory singleton removal
Tue May  5 12:09:37 2015  begin with 9687835 relations and 10890832 unique ideals
Tue May  5 12:09:41 2015  reduce to 3214510 relations and 3206604 ideals in 22 passes
Tue May  5 12:09:41 2015  max relations containing the same ideal: 101
Tue May  5 12:27:31 2015  
Tue May  5 12:27:31 2015  commencing relation filtering
Tue May  5 12:27:31 2015  estimated available RAM is 15987.3 MB
Tue May  5 12:27:31 2015  commencing duplicate removal, pass 1
Tue May  5 12:28:07 2015  found 1324380 hash collisions in 11008520 relations
Tue May  5 12:28:17 2015  added 100 free relations
Tue May  5 12:28:17 2015  commencing duplicate removal, pass 2
Tue May  5 12:28:27 2015  found 717149 duplicates and 10291471 unique relations
Tue May  5 12:28:27 2015  memory use: 41.3 MB
Tue May  5 12:28:27 2015  reading ideals above 720000
Tue May  5 12:28:27 2015  commencing singleton removal, initial pass
Tue May  5 12:29:11 2015  memory use: 344.5 MB
Tue May  5 12:29:11 2015  reading all ideals from disk
Tue May  5 12:29:11 2015  memory use: 295.7 MB
Tue May  5 12:29:12 2015  commencing in-memory singleton removal
Tue May  5 12:29:12 2015  begin with 10291471 relations and 11081567 unique ideals
Tue May  5 12:29:16 2015  reduce to 4051001 relations and 3763490 ideals in 22 passes
Tue May  5 12:29:16 2015  max relations containing the same ideal: 76
Tue May  5 12:29:17 2015  removing 643651 relations and 567466 ideals in 76185 cliques
Tue May  5 12:29:17 2015  commencing in-memory singleton removal
Tue May  5 12:29:18 2015  begin with 3407350 relations and 3763490 unique ideals
Tue May  5 12:29:19 2015  reduce to 3319410 relations and 3105742 ideals in 10 passes
Tue May  5 12:29:19 2015  max relations containing the same ideal: 64
Tue May  5 12:29:20 2015  removing 481623 relations and 405438 ideals in 76185 cliques
Tue May  5 12:29:20 2015  commencing in-memory singleton removal
Tue May  5 12:29:20 2015  begin with 2837787 relations and 3105742 unique ideals
Tue May  5 12:29:20 2015  reduce to 2776597 relations and 2637612 ideals in 8 passes
Tue May  5 12:29:20 2015  max relations containing the same ideal: 55
Tue May  5 12:29:21 2015  relations with 0 large ideals: 469
Tue May  5 12:29:21 2015  relations with 1 large ideals: 3299
Tue May  5 12:29:21 2015  relations with 2 large ideals: 40861
Tue May  5 12:29:21 2015  relations with 3 large ideals: 213588
Tue May  5 12:29:21 2015  relations with 4 large ideals: 568267
Tue May  5 12:29:21 2015  relations with 5 large ideals: 829512
Tue May  5 12:29:21 2015  relations with 6 large ideals: 692527
Tue May  5 12:29:21 2015  relations with 7+ large ideals: 428074
Tue May  5 12:29:21 2015  commencing 2-way merge
Tue May  5 12:29:22 2015  reduce to 1580985 relation sets and 1442000 unique ideals
Tue May  5 12:29:22 2015  commencing full merge
Tue May  5 12:29:35 2015  memory use: 158.1 MB
Tue May  5 12:29:35 2015  found 776496 cycles, need 756200
Tue May  5 12:29:35 2015  weight of 756200 cycles is about 53027404 (70.12/cycle)
Tue May  5 12:29:35 2015  distribution of cycle lengths:
Tue May  5 12:29:35 2015  1 relations: 90775
Tue May  5 12:29:35 2015  2 relations: 84476
Tue May  5 12:29:35 2015  3 relations: 83756
Tue May  5 12:29:35 2015  4 relations: 75648
Tue May  5 12:29:35 2015  5 relations: 69458
Tue May  5 12:29:35 2015  6 relations: 59346
Tue May  5 12:29:35 2015  7 relations: 52221
Tue May  5 12:29:35 2015  8 relations: 45672
Tue May  5 12:29:35 2015  9 relations: 39377
Tue May  5 12:29:35 2015  10+ relations: 155471
Tue May  5 12:29:35 2015  heaviest cycle: 20 relations
Tue May  5 12:29:35 2015  commencing cycle optimization
Tue May  5 12:29:36 2015  start with 4574404 relations
Tue May  5 12:29:39 2015  pruned 99074 relations
Tue May  5 12:29:39 2015  memory use: 154.7 MB
Tue May  5 12:29:39 2015  distribution of cycle lengths:
Tue May  5 12:29:39 2015  1 relations: 90775
Tue May  5 12:29:39 2015  2 relations: 86343
Tue May  5 12:29:39 2015  3 relations: 86424
Tue May  5 12:29:39 2015  4 relations: 77386
Tue May  5 12:29:39 2015  5 relations: 70854
Tue May  5 12:29:39 2015  6 relations: 59962
Tue May  5 12:29:39 2015  7 relations: 52777
Tue May  5 12:29:39 2015  8 relations: 45724
Tue May  5 12:29:39 2015  9 relations: 39110
Tue May  5 12:29:39 2015  10+ relations: 146845
Tue May  5 12:29:39 2015  heaviest cycle: 20 relations
Tue May  5 12:29:40 2015  RelProcTime: 129
Tue May  5 12:29:40 2015  
Tue May  5 12:29:40 2015  commencing linear algebra
Tue May  5 12:29:40 2015  read 756200 cycles
Tue May  5 12:29:41 2015  cycles contain 2614717 unique relations
Tue May  5 12:29:55 2015  read 2614717 relations
Tue May  5 12:29:57 2015  using 20 quadratic characters above 134217402
Tue May  5 12:30:05 2015  building initial matrix
Tue May  5 12:30:19 2015  memory use: 332.9 MB
Tue May  5 12:30:20 2015  read 756200 cycles
Tue May  5 12:30:20 2015  matrix is 756008 x 756200 (229.5 MB) with weight 72461145 (95.82/col)
Tue May  5 12:30:20 2015  sparse part has weight 51075837 (67.54/col)
Tue May  5 12:30:24 2015  filtering completed in 2 passes
Tue May  5 12:30:24 2015  matrix is 753191 x 753383 (229.1 MB) with weight 72328374 (96.00/col)
Tue May  5 12:30:24 2015  sparse part has weight 51027737 (67.73/col)
Tue May  5 12:30:26 2015  matrix starts at (0, 0)
Tue May  5 12:30:26 2015  matrix is 753191 x 753383 (229.1 MB) with weight 72328374 (96.00/col)
Tue May  5 12:30:26 2015  sparse part has weight 51027737 (67.73/col)
Tue May  5 12:30:26 2015  saving the first 48 matrix rows for later
Tue May  5 12:30:26 2015  matrix includes 64 packed rows
Tue May  5 12:30:26 2015  matrix is 753143 x 753383 (219.9 MB) with weight 57528866 (76.36/col)
Tue May  5 12:30:26 2015  sparse part has weight 50107663 (66.51/col)
Tue May  5 12:30:26 2015  using block size 65536 for processor cache size 8192 kB
Tue May  5 12:30:27 2015  commencing Lanczos iteration (8 threads)
Tue May  5 12:30:27 2015  memory use: 211.0 MB
Tue May  5 12:30:31 2015  linear algebra at 0.4%, ETA 0h12m
Tue May  5 12:45:37 2015  lanczos halted after 11913 iterations (dim = 753141)
Tue May  5 12:45:38 2015  recovered 27 nontrivial dependencies
Tue May  5 12:45:38 2015  BLanczosTime: 958
Tue May  5 12:45:38 2015  
Tue May  5 12:45:38 2015  commencing square root phase
Tue May  5 12:45:38 2015  reading relations for dependency 1
Tue May  5 12:45:38 2015  read 376519 cycles
Tue May  5 12:45:38 2015  cycles contain 1306290 unique relations
Tue May  5 12:45:49 2015  read 1306290 relations
Tue May  5 12:45:52 2015  multiplying 1306290 relations
Tue May  5 12:46:32 2015  multiply complete, coefficients have about 53.85 million bits
Tue May  5 12:46:32 2015  initial square root is modulo 53860589
Tue May  5 12:47:23 2015  GCD is 1, no factor found
Tue May  5 12:47:23 2015  reading relations for dependency 2
Tue May  5 12:47:23 2015  read 377238 cycles
Tue May  5 12:47:23 2015  cycles contain 1308606 unique relations
Tue May  5 12:47:34 2015  read 1308606 relations
Tue May  5 12:47:37 2015  multiplying 1308606 relations
Tue May  5 12:48:17 2015  multiply complete, coefficients have about 53.94 million bits
Tue May  5 12:48:17 2015  initial square root is modulo 55556951
Tue May  5 12:49:07 2015  GCD is 1, no factor found
Tue May  5 12:49:07 2015  reading relations for dependency 3
Tue May  5 12:49:08 2015  read 376828 cycles
Tue May  5 12:49:08 2015  cycles contain 1306602 unique relations
Tue May  5 12:49:19 2015  read 1306602 relations
Tue May  5 12:49:22 2015  multiplying 1306602 relations
Tue May  5 12:50:01 2015  multiply complete, coefficients have about 53.87 million bits
Tue May  5 12:50:02 2015  initial square root is modulo 54122881
Tue May  5 12:50:52 2015  sqrtTime: 314
--
n: 7932648961301704997021512285888557108170246204600353105336742028885488298181750187797797650427226467350901799091617753663
skew: 571504.98
c0: -12165569980217064456781376944800
c1: 131485790891322950221979040
c2: 6065968080600786094
c3: -1083823455933449
c4: -286143578
c5: 888
Y0: -389225419748625706091093
Y1: 1969025847679
rlim: 5800000
alim: 5800000
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 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6580280CypDecember 10, 2014 01:20:35 UTC 2014 年 12 月 10 日 (水) 10 時 20 分 35 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:19:17 UTC 2015 年 2 月 16 日 (月) 22 時 19 分 17 秒 (日本時間)
4511e61000 / 4347400KTakahashiMay 4, 2015 05:15:07 UTC 2015 年 5 月 4 日 (月) 14 時 15 分 7 秒 (日本時間)
600KTakahashiMay 4, 2015 13:19:36 UTC 2015 年 5 月 4 日 (月) 22 時 19 分 36 秒 (日本時間)

10180+7199

c127

name 名前Dmitry Domanov
date 日付December 6, 2014 16:56:43 UTC 2014 年 12 月 7 日 (日) 1 時 56 分 43 秒 (日本時間)
composite number 合成数
2567094794608697614546545844020254105480474339836611840908484514554221564743396644266514250134993341397992647722695284285299527<127>
prime factors 素因数
4067261060299632791573780656093994389<37>
631160566422943407546588784856412844006102052477482434477994905589001742592951415085467243<90>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1226377410
Step 1 took 6185ms
Step 2 took 3443ms
********** Factor found in step 2: 4067261060299632791573780656093994389
Found probable prime factor of 37 digits: 4067261060299632791573780656093994389

ECM

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

10182+7199

c175

name 名前Dmitry Domanov
date 日付December 26, 2015 20:16:46 UTC 2015 年 12 月 27 日 (日) 5 時 16 分 46 秒 (日本時間)
composite number 合成数
5769509148047162506360162647078490767948784298073151260317541090588390120592549359737376559188211600440490484435104763035585697779148613151353783589288952422723627184242408927<175>
prime factors 素因数
54433889359173419014560661358319792674903575624039900560821666161633429<71>
105991124572744892586476128687312428893770155894758326687135167283111278016359691081579887257175971040163<105>
factorization results 素因数分解の結果
N = 5769509148047162506360162647078490767948784298073151260317541090588390120592549359737376559188211600440490484435104763035585697779148613151353783589288952422723627184242408927 (175 digits)
SNFS difficulty: 183 digits.
Divisors found:
r1=54433889359173419014560661358319792674903575624039900560821666161633429 (pp71)
r2=105991124572744892586476128687312428893770155894758326687135167283111278016359691081579887257175971040163 (pp105)
Version: Msieve v. 1.52 (SVN exported)
Total time: 20.16 hours.
Factorization parameters were as follows:
n: 5769509148047162506360162647078490767948784298073151260317541090588390120592549359737376559188211600440490484435104763035585697779148613151353783589288952422723627184242408927
m: 1000000000000000000000000000000000000
deg: 5
c5: 100
c0: 719
skew: 1.48
# Murphy_E = 5.622e-11
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 240000
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20222854
Relations: 2704194 relations
Pruned matrix : 1660559 x 1660784
Polynomial selection time: 0.00 hours.
Total sieving time: 18.35 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 1.47 hours.
time per square root: 0.13 hours.
Prototype def-par.txt line would be: snfs,183,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,240000
total time: 20.16 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6580280CypDecember 9, 2014 04:15:01 UTC 2014 年 12 月 9 日 (火) 13 時 15 分 1 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:19:43 UTC 2015 年 2 月 16 日 (月) 22 時 19 分 43 秒 (日本時間)
4511e6709 / 4347309KTakahashiMay 20, 2015 16:17:27 UTC 2015 年 5 月 21 日 (木) 1 時 17 分 27 秒 (日本時間)
200KTakahashiMay 20, 2015 21:15:27 UTC 2015 年 5 月 21 日 (木) 6 時 15 分 27 秒 (日本時間)
200Dmitry DomanovDecember 3, 2015 17:40:31 UTC 2015 年 12 月 4 日 (金) 2 時 40 分 31 秒 (日本時間)

10183+7199

c161

name 名前Jo Yeong Uk
date 日付April 15, 2016 16:10:13 UTC 2016 年 4 月 16 日 (土) 1 時 10 分 13 秒 (日本時間)
composite number 合成数
30044631681228530937947705153489725439097562861092997170789957233469664593523876112102577902144468180344114444670683166101336146652141829367247559648906093504999<161>
prime factors 素因数
65045989842653759550210174066445808816226088843163<50>
83101228356808199375495960803753993318390081513227779<53>
5558260716861302039395984410339438823494073984489402316087<58>
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 30044631681228530937947705153489725439097562861092997170789957233469664593523876112102577902144468180344114444670683166101336146652141829367247559648906093504999 (161 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3256643950
Step 1 took 115164ms
Step 2 took 29891ms
********** Factor found in step 2: 65045989842653759550210174066445808816226088843163
Found probable prime factor of 50 digits: 65045989842653759550210174066445808816226088843163
Composite cofactor 461898293098567503195545244515568551563486954477770820802970298914971351633046428688184543172703932769786980773 has 111 digits

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 461898293098567503195545244515568551563486954477770820802970298914971351633046428688184543172703932769786980773 (111 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=8191497861
Step 1 took 62653ms
Step 2 took 20798ms
********** Factor found in step 2: 83101228356808199375495960803753993318390081513227779
Found probable prime factor of 53 digits: 83101228356808199375495960803753993318390081513227779
Probable prime cofactor 5558260716861302039395984410339438823494073984489402316087 has 58 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6580280CypDecember 10, 2014 04:17:54 UTC 2014 年 12 月 10 日 (水) 13 時 17 分 54 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:20:01 UTC 2015 年 2 月 16 日 (月) 22 時 20 分 1 秒 (日本時間)
4511e6800 / 4347600KTakahashiMay 22, 2015 22:40:01 UTC 2015 年 5 月 23 日 (土) 7 時 40 分 1 秒 (日本時間)
200Dmitry DomanovDecember 3, 2015 17:40:49 UTC 2015 年 12 月 4 日 (金) 2 時 40 分 49 秒 (日本時間)

10185+7199

c148

name 名前Jo Yeong Uk
date 日付August 5, 2016 13:40:09 UTC 2016 年 8 月 5 日 (金) 22 時 40 分 9 秒 (日本時間)
composite number 合成数
1011463951694293642800243739480545869121163547955905048648776490799683084321153338706444780266362292258492818792824249928923111403566159900072564497<148>
prime factors 素因数
28276773444945770908008452017705008730331869903810598064568335241<65>
35770133168255237780095846237762151057075778788828203789209759548820316138315609417<83>
factorization results 素因数分解の結果
Number: 11191_185
N=1011463951694293642800243739480545869121163547955905048648776490799683084321153338706444780266362292258492818792824249928923111403566159900072564497
  ( 148 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=28276773444945770908008452017705008730331869903810598064568335241
 r2=35770133168255237780095846237762151057075778788828203789209759548820316138315609417
Version: 
Total time: 58.73 hours.
Scaled time: 308.19 units (timescale=5.248).
Factorization parameters were as follows:
n: 1011463951694293642800243739480545869121163547955905048648776490799683084321153338706444780266362292258492818792824249928923111403566159900072564497
m: 10000000000000000000000000000000000000
deg: 5
c5: 1
c0: 719
skew: 3.73
# Murphy_E = 6.824e-11
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3600000, 6200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20066209
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1404578 x 1404826
Total sieving time: 54.44 hours.
Total relation processing time: 1.40 hours.
Matrix solve time: 2.64 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,54,54,2.5,2.5,100000
total time: 58.73 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 7, 2014 22:41:47 UTC 2014 年 12 月 8 日 (月) 7 時 41 分 47 秒 (日本時間)
4511e6791 / 4413591CypJanuary 29, 2015 02:01:39 UTC 2015 年 1 月 29 日 (木) 11 時 1 分 39 秒 (日本時間)
200Dmitry DomanovDecember 3, 2015 19:03:04 UTC 2015 年 12 月 4 日 (金) 4 時 3 分 4 秒 (日本時間)

10188+7199

c180

name 名前LegionMammal978
date 日付July 23, 2017 18:23:29 UTC 2017 年 7 月 24 日 (月) 3 時 23 分 29 秒 (日本時間)
composite number 合成数
792564583888574359633772708154268226189657867543325523164154320155021194246935368727951992587809201140630416807416229707978865758129277476012775285122533219016988011580921997196493<180>
prime factors 素因数
17315660183246006034138869523351289602636743<44>
5120934368112365150077196640664578282923467137624366273955223<61>
8938124459495799271493414499796105961841407710212511420567721352360115725037<76>
factorization results 素因数分解の結果
Sun Jul 23 10:10:00 2017  Msieve v. 1.53 (SVN Unversioned directory)
Sun Jul 23 10:10:00 2017  random seeds: 32256d0b 627f4a37
Sun Jul 23 10:10:00 2017  factoring 792564583888574359633772708154268226189657867543325523164154320155021194246935368727951992587809201140630416807416229707978865758129277476012775285122533219016988011580921997196493 (180 digits)
Sun Jul 23 10:10:01 2017  no P-1/P+1/ECM available, skipping
Sun Jul 23 10:10:01 2017  commencing number field sieve (180-digit input)
Sun Jul 23 10:10:01 2017  R0: -10000000000000000000000000000000000000
Sun Jul 23 10:10:01 2017  R1: 1
Sun Jul 23 10:10:01 2017  A0: 719
Sun Jul 23 10:10:01 2017  A1: 0
Sun Jul 23 10:10:01 2017  A2: 0
Sun Jul 23 10:10:01 2017  A3: 0
Sun Jul 23 10:10:01 2017  A4: 0
Sun Jul 23 10:10:01 2017  A5: 1000
Sun Jul 23 10:10:01 2017  skew 0.94, size 2.421e-13, alpha -0.456, combined = 3.593e-11 rroots = 1
Sun Jul 23 10:10:01 2017  
Sun Jul 23 10:10:01 2017  commencing relation filtering
Sun Jul 23 10:10:01 2017  estimated available RAM is 15929.4 MB
Sun Jul 23 10:10:01 2017  commencing duplicate removal, pass 1
Sun Jul 23 10:12:42 2017  found 3285907 hash collisions in 22143356 relations
Sun Jul 23 10:13:00 2017  added 366 free relations
Sun Jul 23 10:13:00 2017  commencing duplicate removal, pass 2
Sun Jul 23 10:13:06 2017  found 2974019 duplicates and 19169703 unique relations
Sun Jul 23 10:13:06 2017  memory use: 98.6 MB
Sun Jul 23 10:13:06 2017  reading ideals above 720000
Sun Jul 23 10:13:06 2017  commencing singleton removal, initial pass
Sun Jul 23 10:15:06 2017  memory use: 689.0 MB
Sun Jul 23 10:15:07 2017  reading all ideals from disk
Sun Jul 23 10:15:07 2017  memory use: 609.5 MB
Sun Jul 23 10:15:08 2017  keeping 21344937 ideals with weight <= 200, target excess is 116169
Sun Jul 23 10:15:08 2017  commencing in-memory singleton removal
Sun Jul 23 10:15:09 2017  begin with 19169703 relations and 21344937 unique ideals
Sun Jul 23 10:15:17 2017  reduce to 7708374 relations and 7520182 ideals in 20 passes
Sun Jul 23 10:15:17 2017  max relations containing the same ideal: 104
Sun Jul 23 10:15:19 2017  removing 390011 relations and 363294 ideals in 26718 cliques
Sun Jul 23 10:15:19 2017  commencing in-memory singleton removal
Sun Jul 23 10:15:20 2017  begin with 7318363 relations and 7520182 unique ideals
Sun Jul 23 10:15:23 2017  reduce to 7301030 relations and 7139469 ideals in 9 passes
Sun Jul 23 10:15:23 2017  max relations containing the same ideal: 102
Sun Jul 23 10:15:25 2017  removing 279510 relations and 252792 ideals in 26718 cliques
Sun Jul 23 10:15:25 2017  commencing in-memory singleton removal
Sun Jul 23 10:15:25 2017  begin with 7021520 relations and 7139469 unique ideals
Sun Jul 23 10:15:27 2017  reduce to 7011729 relations and 6876847 ideals in 7 passes
Sun Jul 23 10:15:27 2017  max relations containing the same ideal: 96
Sun Jul 23 10:15:30 2017  relations with 0 large ideals: 2903
Sun Jul 23 10:15:30 2017  relations with 1 large ideals: 922
Sun Jul 23 10:15:30 2017  relations with 2 large ideals: 17007
Sun Jul 23 10:15:30 2017  relations with 3 large ideals: 133336
Sun Jul 23 10:15:30 2017  relations with 4 large ideals: 559533
Sun Jul 23 10:15:30 2017  relations with 5 large ideals: 1370315
Sun Jul 23 10:15:30 2017  relations with 6 large ideals: 2069291
Sun Jul 23 10:15:30 2017  relations with 7+ large ideals: 2858422
Sun Jul 23 10:15:30 2017  commencing 2-way merge
Sun Jul 23 10:15:33 2017  reduce to 4082162 relation sets and 3947282 unique ideals
Sun Jul 23 10:15:33 2017  ignored 2 oversize relation sets
Sun Jul 23 10:15:33 2017  commencing full merge
Sun Jul 23 10:16:15 2017  memory use: 477.4 MB
Sun Jul 23 10:16:15 2017  found 2088662 cycles, need 2075482
Sun Jul 23 10:16:15 2017  weight of 2075482 cycles is about 145556981 (70.13/cycle)
Sun Jul 23 10:16:15 2017  distribution of cycle lengths:
Sun Jul 23 10:16:15 2017  1 relations: 315042
Sun Jul 23 10:16:15 2017  2 relations: 271425
Sun Jul 23 10:16:15 2017  3 relations: 247887
Sun Jul 23 10:16:15 2017  4 relations: 212412
Sun Jul 23 10:16:15 2017  5 relations: 183318
Sun Jul 23 10:16:15 2017  6 relations: 149232
Sun Jul 23 10:16:15 2017  7 relations: 127209
Sun Jul 23 10:16:15 2017  8 relations: 104628
Sun Jul 23 10:16:15 2017  9 relations: 85573
Sun Jul 23 10:16:15 2017  10+ relations: 378756
Sun Jul 23 10:16:15 2017  heaviest cycle: 27 relations
Sun Jul 23 10:16:16 2017  commencing cycle optimization
Sun Jul 23 10:16:18 2017  start with 11974403 relations
Sun Jul 23 10:16:29 2017  pruned 252831 relations
Sun Jul 23 10:16:29 2017  memory use: 403.1 MB
Sun Jul 23 10:16:29 2017  distribution of cycle lengths:
Sun Jul 23 10:16:29 2017  1 relations: 315042
Sun Jul 23 10:16:29 2017  2 relations: 276990
Sun Jul 23 10:16:29 2017  3 relations: 255824
Sun Jul 23 10:16:29 2017  4 relations: 215937
Sun Jul 23 10:16:29 2017  5 relations: 186201
Sun Jul 23 10:16:29 2017  6 relations: 149888
Sun Jul 23 10:16:29 2017  7 relations: 127488
Sun Jul 23 10:16:29 2017  8 relations: 103697
Sun Jul 23 10:16:29 2017  9 relations: 84231
Sun Jul 23 10:16:29 2017  10+ relations: 360184
Sun Jul 23 10:16:29 2017  heaviest cycle: 27 relations
Sun Jul 23 10:16:31 2017  RelProcTime: 390
Sun Jul 23 10:16:31 2017  elapsed time 00:06:31
Sun Jul 23 10:16:31 2017 LatSieveTime: 1330.46
Sun Jul 23 10:16:31 2017 -> Running matrix solving step ...
Sun Jul 23 10:16:31 2017 -> ./msieve -s 11191_188/11191_188.dat -l 11191_188/11191_188.log -i 11191_188/11191_188.ini -nf 11191_188/11191_188.fb -t 4 -nc2
Sun Jul 23 10:16:31 2017  
Sun Jul 23 10:16:31 2017  
Sun Jul 23 10:16:31 2017  Msieve v. 1.53 (SVN Unversioned directory)
Sun Jul 23 10:16:31 2017  random seeds: 9423cecd a2b3f93b
Sun Jul 23 10:16:31 2017  factoring 792564583888574359633772708154268226189657867543325523164154320155021194246935368727951992587809201140630416807416229707978865758129277476012775285122533219016988011580921997196493 (180 digits)
Sun Jul 23 10:16:32 2017  no P-1/P+1/ECM available, skipping
Sun Jul 23 10:16:32 2017  commencing number field sieve (180-digit input)
Sun Jul 23 10:16:32 2017  R0: -10000000000000000000000000000000000000
Sun Jul 23 10:16:32 2017  R1: 1
Sun Jul 23 10:16:32 2017  A0: 719
Sun Jul 23 10:16:32 2017  A1: 0
Sun Jul 23 10:16:32 2017  A2: 0
Sun Jul 23 10:16:32 2017  A3: 0
Sun Jul 23 10:16:32 2017  A4: 0
Sun Jul 23 10:16:32 2017  A5: 1000
Sun Jul 23 10:16:32 2017  skew 0.94, size 2.421e-13, alpha -0.456, combined = 3.593e-11 rroots = 1
Sun Jul 23 10:16:32 2017  
Sun Jul 23 10:16:32 2017  commencing linear algebra
Sun Jul 23 10:16:32 2017  read 2075482 cycles
Sun Jul 23 10:16:35 2017  cycles contain 6846021 unique relations
Sun Jul 23 10:17:08 2017  read 6846021 relations
Sun Jul 23 10:17:12 2017  using 20 quadratic characters above 4294917295
Sun Jul 23 10:17:39 2017  building initial matrix
Sun Jul 23 10:18:19 2017  memory use: 852.4 MB
Sun Jul 23 10:18:20 2017  read 2075482 cycles
Sun Jul 23 10:18:20 2017  matrix is 2075303 x 2075482 (623.5 MB) with weight 186376072 (89.80/col)
Sun Jul 23 10:18:20 2017  sparse part has weight 140614340 (67.75/col)
Sun Jul 23 10:18:30 2017  filtering completed in 2 passes
Sun Jul 23 10:18:30 2017  matrix is 2072653 x 2072832 (623.3 MB) with weight 186282071 (89.87/col)
Sun Jul 23 10:18:30 2017  sparse part has weight 140582855 (67.82/col)
Sun Jul 23 10:18:34 2017  matrix starts at (0, 0)
Sun Jul 23 10:18:35 2017  matrix is 2072653 x 2072832 (623.3 MB) with weight 186282071 (89.87/col)
Sun Jul 23 10:18:35 2017  sparse part has weight 140582855 (67.82/col)
Sun Jul 23 10:18:35 2017  saving the first 48 matrix rows for later
Sun Jul 23 10:18:35 2017  matrix includes 64 packed rows
Sun Jul 23 10:18:35 2017  matrix is 2072605 x 2072832 (594.5 MB) with weight 147969826 (71.39/col)
Sun Jul 23 10:18:35 2017  sparse part has weight 135119041 (65.19/col)
Sun Jul 23 10:18:35 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Sun Jul 23 10:18:40 2017  commencing Lanczos iteration (4 threads)
Sun Jul 23 10:18:40 2017  memory use: 476.5 MB
Sun Jul 23 10:18:46 2017  linear algebra at 0.1%, ETA 2h16m
Sun Jul 23 10:18:48 2017  checkpointing every 920000 dimensions
Sun Jul 23 12:15:01 2017  lanczos halted after 32778 iterations (dim = 2072602)
Sun Jul 23 12:15:03 2017  recovered 35 nontrivial dependencies
Sun Jul 23 12:15:03 2017  BLanczosTime: 7111
Sun Jul 23 12:15:03 2017  elapsed time 01:58:32
Sun Jul 23 12:15:03 2017 -> Running square root step ...
Sun Jul 23 12:15:03 2017 -> ./msieve -s 11191_188/11191_188.dat -l 11191_188/11191_188.log -i 11191_188/11191_188.ini -nf 11191_188/11191_188.fb -t 4 -nc3
Sun Jul 23 12:15:03 2017  
Sun Jul 23 12:15:03 2017  
Sun Jul 23 12:15:03 2017  Msieve v. 1.53 (SVN Unversioned directory)
Sun Jul 23 12:15:03 2017  random seeds: 5400cce5 b86a354c
Sun Jul 23 12:15:03 2017  factoring 792564583888574359633772708154268226189657867543325523164154320155021194246935368727951992587809201140630416807416229707978865758129277476012775285122533219016988011580921997196493 (180 digits)
Sun Jul 23 12:15:03 2017  no P-1/P+1/ECM available, skipping
Sun Jul 23 12:15:03 2017  commencing number field sieve (180-digit input)
Sun Jul 23 12:15:03 2017  R0: -10000000000000000000000000000000000000
Sun Jul 23 12:15:03 2017  R1: 1
Sun Jul 23 12:15:03 2017  A0: 719
Sun Jul 23 12:15:03 2017  A1: 0
Sun Jul 23 12:15:03 2017  A2: 0
Sun Jul 23 12:15:03 2017  A3: 0
Sun Jul 23 12:15:03 2017  A4: 0
Sun Jul 23 12:15:03 2017  A5: 1000
Sun Jul 23 12:15:03 2017  skew 0.94, size 2.421e-13, alpha -0.456, combined = 3.593e-11 rroots = 1
Sun Jul 23 12:15:03 2017  
Sun Jul 23 12:15:03 2017  commencing square root phase
Sun Jul 23 12:15:03 2017  reading relations for dependency 1
Sun Jul 23 12:15:04 2017  read 1036449 cycles
Sun Jul 23 12:15:05 2017  cycles contain 3423986 unique relations
Sun Jul 23 12:15:22 2017  read 3423986 relations
Sun Jul 23 12:15:32 2017  multiplying 3423986 relations
Sun Jul 23 12:17:17 2017  multiply complete, coefficients have about 111.20 million bits
Sun Jul 23 12:17:17 2017  initial square root is modulo 95828891
Sun Jul 23 12:19:35 2017  found factor: 8938124459495799271493414499796105961841407710212511420567721352360115725037
Sun Jul 23 12:19:35 2017  reading relations for dependency 2
Sun Jul 23 12:19:35 2017  read 1037105 cycles
Sun Jul 23 12:19:36 2017  cycles contain 3423378 unique relations
Sun Jul 23 12:19:53 2017  read 3423378 relations
Sun Jul 23 12:20:04 2017  multiplying 3423378 relations
Sun Jul 23 12:21:48 2017  multiply complete, coefficients have about 111.18 million bits
Sun Jul 23 12:21:48 2017  initial square root is modulo 95507821
Sun Jul 23 12:24:06 2017  sqrtTime: 543
Sun Jul 23 12:24:06 2017  p44 factor: 17315660183246006034138869523351289602636743
Sun Jul 23 12:24:06 2017  p61 factor: 5120934368112365150077196640664578282923467137624366273955223
Sun Jul 23 12:24:06 2017  p76 factor: 8938124459495799271493414499796105961841407710212511420567721352360115725037
Sun Jul 23 12:24:06 2017  elapsed time 00:09:03
software ソフトウェア
Msieve 1.53 snfs
execution environment 実行環境
Core i7-2600K 3.4GHz, Ubuntu 16.04.2 LTS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 10, 2014 19:47:30 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 30 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:20:30 UTC 2015 年 2 月 16 日 (月) 22 時 20 分 30 秒 (日本時間)
4511e6800 / 4342600Dmitry DomanovNovember 17, 2015 21:24:04 UTC 2015 年 11 月 18 日 (水) 6 時 24 分 4 秒 (日本時間)
200Dmitry DomanovDecember 3, 2015 19:03:25 UTC 2015 年 12 月 4 日 (金) 4 時 3 分 25 秒 (日本時間)

10192+7199

c163

name 名前Jo Yeong Uk
date 日付October 10, 2018 12:07:29 UTC 2018 年 10 月 10 日 (水) 21 時 7 分 29 秒 (日本時間)
composite number 合成数
3201283830779646976222138882502382501310273924236609486739142635292401603909234756772576473365840649502849057818364944708010047634589790967376920950891227365232671<163>
prime factors 素因数
234872917301814310453536787739291920968149244346473754398225402857193045973<75>
13629855104434887468509213771331657376332908944149099315368119754305292168302924918881827<89>
factorization results 素因数分解の結果
Number: 11191_192
N=3201283830779646976222138882502382501310273924236609486739142635292401603909234756772576473365840649502849057818364944708010047634589790967376920950891227365232671
  ( 163 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=234872917301814310453536787739291920968149244346473754398225402857193045973
 r2=13629855104434887468509213771331657376332908944149099315368119754305292168302924918881827
Version: 
Total time: 178.69 hours.
Scaled time: 937.74 units (timescale=5.248).
Factorization parameters were as follows:
n: 3201283830779646976222138882502382501310273924236609486739142635292401603909234756772576473365840649502849057818364944708010047634589790967376920950891227365232671
m: 100000000000000000000000000000000000000
deg: 5
c5: 100
c0: 719
skew: 1.48
# Murphy_E = 2.195e-11
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5500000, 13100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 23766415
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2334742 x 2334990
Total sieving time: 164.84 hours.
Total relation processing time: 4.84 hours.
Matrix solve time: 8.65 hours.
Time per square root: 0.35 hours.
Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,55,55,2.5,2.5,100000
total time: 178.69 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367604k/51380224k available (5540k kernel code, 1086464k absent, 926156k reserved, 6889k data, 1348k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.73 BogoMIPS (lpj=3399865)
Total of 12 processors activated (81596.76 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 9, 2014 01:56:20 UTC 2014 年 12 月 9 日 (火) 10 時 56 分 20 秒 (日本時間)
4511e6791 / 4413591CypJanuary 26, 2015 03:14:22 UTC 2015 年 1 月 26 日 (月) 12 時 14 分 22 秒 (日本時間)
200Dmitry DomanovDecember 3, 2015 19:03:47 UTC 2015 年 12 月 4 日 (金) 4 時 3 分 47 秒 (日本時間)

10194+7199

c160

name 名前Jo Yeong Uk
date 日付December 18, 2018 14:08:06 UTC 2018 年 12 月 18 日 (火) 23 時 8 分 6 秒 (日本時間)
composite number 合成数
9273225102333864307082796453391437336452225099630730942109560138136863014502234759482798128707764315516327434001473097887010470701447285826507467280491202002341<160>
prime factors 素因数
8479269082790749306426203936277014423033612610627723<52>
1093634959781439475392765198229688675066831791028059755165266273453591690128003008936673767915583558733236367<109>
factorization results 素因数分解の結果
Number: 11191_194
N=9273225102333864307082796453391437336452225099630730942109560138136863014502234759482798128707764315516327434001473097887010470701447285826507467280491202002341
  ( 160 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=8479269082790749306426203936277014423033612610627723
 r2=1093634959781439475392765198229688675066831791028059755165266273453591690128003008936673767915583558733236367
Version: 
Total time: 190.90 hours.
Scaled time: 1002.82 units (timescale=5.253).
Factorization parameters were as follows:
n: 9273225102333864307082796453391437336452225099630730942109560138136863014502234759482798128707764315516327434001473097887010470701447285826507467280491202002341
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1
c0: 7190
skew: 5.90
# Murphy_E = 1.863e-11
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6000000, 13900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 23713070
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2424047 x 2424295
Total sieving time: 175.54 hours.
Total relation processing time: 5.07 hours.
Matrix solve time: 9.70 hours.
Time per square root: 0.59 hours.
Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000
total time: 190.90 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367604k/51380224k available (5540k kernel code, 1086464k absent, 926156k reserved, 6889k data, 1348k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.73 BogoMIPS (lpj=3399865)
Total of 12 processors activated (81596.76 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 10, 2014 19:47:31 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 31 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:21:05 UTC 2015 年 2 月 16 日 (月) 22 時 21 分 5 秒 (日本時間)
4511e6698 / 4342498CypJune 28, 2015 06:09:09 UTC 2015 年 6 月 28 日 (日) 15 時 9 分 9 秒 (日本時間)
200Dmitry DomanovDecember 3, 2015 19:04:09 UTC 2015 年 12 月 4 日 (金) 4 時 4 分 9 秒 (日本時間)

10195+7199

c163

name 名前Jo Yeong Uk
date 日付January 15, 2019 09:27:59 UTC 2019 年 1 月 15 日 (火) 18 時 27 分 59 秒 (日本時間)
composite number 合成数
2205562427350630486200642395141958722300637538377158834340727550988440058006723524998686744680080108795780136940194378644089956507144292642829787176080539112228341<163>
prime factors 素因数
45420114459106088094378095966814866049900977581039793807776144541440859321<74>
48559156083510188801726865179657265690533526740775980319751058801714808258841688475790621<89>
factorization results 素因数分解の結果
Number: 11191_195
N=2205562427350630486200642395141958722300637538377158834340727550988440058006723524998686744680080108795780136940194378644089956507144292642829787176080539112228341
  ( 163 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=45420114459106088094378095966814866049900977581039793807776144541440859321
 r2=48559156083510188801726865179657265690533526740775980319751058801714808258841688475790621
Version: 
Total time: 207.27 hours.
Scaled time: 1061.65 units (timescale=5.122).
Factorization parameters were as follows:
n: 2205562427350630486200642395141958722300637538377158834340727550988440058006723524998686744680080108795780136940194378644089956507144292642829787176080539112228341
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1
c0: 719
skew: 3.73
# Murphy_E = 2.646e-11
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6000000, 11600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 22985846
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2163833 x 2164080
Total sieving time: 196.11 hours.
Total relation processing time: 3.50 hours.
Matrix solve time: 7.24 hours.
Time per square root: 0.42 hours.
Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000
total time: 207.27 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367604k/51380224k available (5540k kernel code, 1086464k absent, 926156k reserved, 6889k data, 1348k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.73 BogoMIPS (lpj=3399865)
Total of 12 processors activated (81596.76 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 8, 2014 16:54:15 UTC 2014 年 12 月 9 日 (火) 1 時 54 分 15 秒 (日本時間)
4511e6791 / 4413591CypJanuary 23, 2015 17:50:25 UTC 2015 年 1 月 24 日 (土) 2 時 50 分 25 秒 (日本時間)
200Dmitry DomanovDecember 3, 2015 19:04:27 UTC 2015 年 12 月 4 日 (金) 4 時 4 分 27 秒 (日本時間)

10196+7199

c195

name 名前Robert Backstrom
date 日付January 3, 2015 11:23:30 UTC 2015 年 1 月 3 日 (土) 20 時 23 分 30 秒 (日本時間)
composite number 合成数
370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370397<195>
prime factors 素因数
103071537779098975503381373962311029257908273786913628117<57>
3593333119412085786535275676685945807658152234682686643933039609554940916553619657994911800006152563754919873043624011110533433730769172841<139>
factorization results 素因数分解の結果
Number: n
N=370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370397
  ( 195 digits)
SNFS difficulty: 196 digits.
Divisors found:

Sat Jan  3 22:18:40 2015  prp57 factor: 103071537779098975503381373962311029257908273786913628117
Sat Jan  3 22:18:40 2015  prp139 factor: 3593333119412085786535275676685945807658152234682686643933039609554940916553619657994911800006152563754919873043624011110533433730769172841
Sat Jan  3 22:18:40 2015  elapsed time 03:00:28 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.277).
Factorization parameters were as follows:
#
#  N = 10^196+719 1(194)91
#
n: 370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370397
m: 1000000000000000000000000000000000000000
deg: 5
c5: 10
c0: 719
skew: 2.35
# Murphy_E = 1.628e-11
type: snfs
lss: 1
rlim: 12900000
alim: 12900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12900000/12900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 23250000)
Primes: RFBsize:843192, AFBsize:843249,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 5177001 hash collisions in 32474017 relations (28785338 unique)
Msieve: matrix is 1810915 x 1811140 (510.3 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 2hrs 51min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 56sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,12900000,12900000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.038918] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03)
[    0.000000] Memory: 16059668K/16661464K available (7375K kernel code, 1160K rwdata, 3228K rodata, 1468K init, 1504K bss, 601796K reserved)
[    1.117641] [drm] Memory usable by graphics device = 2048M
[    0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7200.23 BogoMIPS (lpj=3600117)
[    0.136797] smpboot: Total of 8 processors activated (57601.87 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:34 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 34 秒 (日本時間)

10197+7199

c155

name 名前Dmitry Domanov
date 日付December 6, 2014 16:38:43 UTC 2014 年 12 月 7 日 (日) 1 時 38 分 43 秒 (日本時間)
composite number 合成数
59684662821932971167049332779282125726727974513248904403507018354024348751206568845884114529932413817546672356965027887854120537125349343690656009682047611<155>
prime factors 素因数
359755193076611878096160687736661<33>
composite cofactor 合成数の残り
165903547663932647659375247809888881406590971321360464298102805351512214168509607668020467821452151753264287456449864503951<123>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3829807445
Step 1 took 9646ms
Step 2 took 4451ms
********** Factor found in step 2: 359755193076611878096160687736661
Found probable prime factor of 33 digits: 359755193076611878096160687736661

c123

name 名前Erik Branger
date 日付December 15, 2014 16:16:44 UTC 2014 年 12 月 16 日 (火) 1 時 16 分 44 秒 (日本時間)
composite number 合成数
165903547663932647659375247809888881406590971321360464298102805351512214168509607668020467821452151753264287456449864503951<123>
prime factors 素因数
916078086236054963495464429389648901376914079<45>
181101971716833130682269777154663279769688229973122145998242258071724234967569<78>
factorization results 素因数分解の結果
Number: 11191_197
N = 165903547663932647659375247809888881406590971321360464298102805351512214168509607668020467821452151753264287456449864503951 (123 digits)
Divisors found:
r1=916078086236054963495464429389648901376914079 (pp45)
r2=181101971716833130682269777154663279769688229973122145998242258071724234967569 (pp78)
Version: Msieve v. 1.51 (SVN 845)
Total time: 31.11 hours.
Factorization parameters were as follows:
n: 165903547663932647659375247809888881406590971321360464298102805351512214168509607668020467821452151753264287456449864503951
Y0: -558247771126090521842488
Y1: 1569625609717
c0: -6921379782844303311641793709365
c1: 183660395252902229788621313
c2: 284746553669135906449
c3: -5065745826381781
c4: -1860158844
c5: 3060
skew: 441852.27 
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: 10632145
Relations: 1525640 relations
Pruned matrix : 861665 x 861891
Polynomial selection time: 0.00 hours.
Total sieving time: 30.26 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.59 hours.
time per square root: 0.20 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: 31.11 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
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62600280CypDecember 8, 2014 00:11:39 UTC 2014 年 12 月 8 日 (月) 9 時 11 分 39 秒 (日本時間)
2320Serge BatalovDecember 9, 2014 19:25:49 UTC 2014 年 12 月 10 日 (水) 4 時 25 分 49 秒 (日本時間)

10198+7199

c198

name 名前Serge Batalov
date 日付December 9, 2014 01:07:02 UTC 2014 年 12 月 9 日 (火) 10 時 7 分 2 秒 (日本時間)
composite number 合成数
111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111191<198>
prime factors 素因数
1582227297417220777486279803540263<34>
composite cofactor 合成数の残り
70224493846418573822600332752483860140809188425644731664376523078451881938184010200491519028870025878691156977628393053748949977660536161834018243740953097077997457<164>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1711846124
Step 1 took 16178ms
Step 2 took 10775ms
********** Factor found in step 2: 1582227297417220777486279803540263
Found probable prime factor of 34 digits: 1582227297417220777486279803540263
Composite cofactor 

c164

name 名前Jo Yeong Uk
date 日付May 25, 2019 15:48:27 UTC 2019 年 5 月 26 日 (日) 0 時 48 分 27 秒 (日本時間)
composite number 合成数
70224493846418573822600332752483860140809188425644731664376523078451881938184010200491519028870025878691156977628393053748949977660536161834018243740953097077997457<164>
prime factors 素因数
43415185714600428110003273300031121548439628086449265041072767372432709630175871<80>
1617509926320601605215285250024747035365590445042788161552418093642927599465473437167<85>
factorization results 素因数分解の結果
Number: 11191_198
N=70224493846418573822600332752483860140809188425644731664376523078451881938184010200491519028870025878691156977628393053748949977660536161834018243740953097077997457
  ( 164 digits)
SNFS difficulty: 198 digits.
Divisors found:
 r1=43415185714600428110003273300031121548439628086449265041072767372432709630175871
 r2=1617509926320601605215285250024747035365590445042788161552418093642927599465473437167
Version: 
Total time: 258.29 hours.
Scaled time: 1357.60 units (timescale=5.256).
Factorization parameters were as follows:
n: 70224493846418573822600332752483860140809188425644731664376523078451881938184010200491519028870025878691156977628393053748949977660536161834018243740953097077997457
m: 1000000000000000000000000000000000
deg: 6
c6: 1
c0: 719
skew: 2.99
# Murphy_E = 1.39e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 55/55
Sieved rational special-q in [8000000, 18000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 35243344
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2906533 x 2906781
Total sieving time: 232.72 hours.
Total relation processing time: 9.99 hours.
Matrix solve time: 15.35 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
snfs,198,6,0,0,0,0,0,0,0,0,16000000,16000000,29,29,55,55,2.5,2.5,100000
total time: 258.29 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367580k/51380224k available (5540k kernel code, 1086464k absent, 926180k reserved, 6889k data, 1348k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.33 BogoMIPS (lpj=3400167)
Total of 12 processors activated (81604.00 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:36 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 36 秒 (日本時間)
4511e6200 / 3962Dmitry DomanovDecember 3, 2015 19:05:35 UTC 2015 年 12 月 4 日 (金) 4 時 5 分 35 秒 (日本時間)

10199+7199

c167

name 名前Jo Yeong Uk
date 日付March 14, 2019 01:50:39 UTC 2019 年 3 月 14 日 (木) 10 時 50 分 39 秒 (日本時間)
composite number 合成数
39620038837915954772273029653979359210119030965276875390579129232462617768662296779004863941329104322362319504833147256870245094938388766690949998742255119490667982401<167>
prime factors 素因数
31662903109854783121774140226882081747666759799<47>
600668235401102785280740924882603655791828762689520902467<57>
2083192958006732749854334833779500049633366385208468279389775597<64>
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 39620038837915954772273029653979359210119030965276875390579129232462617768662296779004863941329104322362319504833147256870245094938388766690949998742255119490667982401 (167 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1139065123
Step 1 took 29739ms
Step 2 took 10054ms
********** Factor found in step 2: 31662903109854783121774140226882081747666759799
Found probable prime factor of 47 digits: 31662903109854783121774140226882081747666759799
Composite cofactor 1251307838085907776705425884162369791018858898179356401946479396343257109061207811994715371531687769365901679696053697799 has 121 digits

Number: 11191_199
N=1251307838085907776705425884162369791018858898179356401946479396343257109061207811994715371531687769365901679696053697799
  ( 121 digits)
Divisors found:
 r1=600668235401102785280740924882603655791828762689520902467
 r2=2083192958006732749854334833779500049633366385208468279389775597
Version: 
Total time: 21.12 hours.
Scaled time: 110.98 units (timescale=5.255).
Factorization parameters were as follows:
name: 11191_199
n: 1251307838085907776705425884162369791018858898179356401946479396343257109061207811994715371531687769365901679696053697799
skew: 82744.59
# norm 2.05e+16
c5: 11280
c4: 1305693698
c3: 26421054117129
c2: -41508895710599484307
c1: -520849210835979894118069
c0: -1711794728897833975967720651
# alpha -5.48
Y1: 4779500677991
Y0: -161811996378419487425900
# Murphy_E 2.72e-10
# M 82009546365911672003703569700332084139513709534539911926749178971187587430098983414492842254277692676559491753010696479
type: gnfs
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2400000, 4600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10867710
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 799950 x 800198
Polynomial selection time: 3.01 hours.
Total sieving time: 16.82 hours.
Total relation processing time: 0.57 hours.
Matrix solve time: 0.63 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
gnfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4800000,4800000,27,27,54,54,2.5,2.5,100000
total time: 21.12 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GMP-ECM v6.4.4 / GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6580280CypDecember 10, 2014 08:47:49 UTC 2014 年 12 月 10 日 (水) 17 時 47 分 49 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:21:49 UTC 2015 年 2 月 16 日 (月) 22 時 21 分 49 秒 (日本時間)
4511e6704 / 4347504CypJune 3, 2015 18:19:47 UTC 2015 年 6 月 4 日 (木) 3 時 19 分 47 秒 (日本時間)
200Dmitry DomanovDecember 3, 2015 19:05:06 UTC 2015 年 12 月 4 日 (金) 4 時 5 分 6 秒 (日本時間)

10200+7199

c178

name 名前Jo Yeong Uk
date 日付October 3, 2019 16:16:58 UTC 2019 年 10 月 4 日 (金) 1 時 16 分 58 秒 (日本時間)
composite number 合成数
2794956856764148714064533402637399830147609892720547530682666391867497602947869707556288088668051176309662389579088152577155618264168885038564089521307389982829363544879036211637<178>
prime factors 素因数
152616372962662835242929155823225024361089899600472599333263586541736499653590863<81>
18313610804051325593698065423784810137275652718558531127289781087492484890014074746188980671917499<98>
factorization results 素因数分解の結果
Number: 11191_200
N=2794956856764148714064533402637399830147609892720547530682666391867497602947869707556288088668051176309662389579088152577155618264168885038564089521307389982829363544879036211637
  ( 178 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=152616372962662835242929155823225024361089899600472599333263586541736499653590863
 r2=18313610804051325593698065423784810137275652718558531127289781087492484890014074746188980671917499
Version: 
Total time: 182.48 hours.
Scaled time: 958.74 units (timescale=5.254).
Factorization parameters were as follows:
n: 2794956856764148714064533402637399830147609892720547530682666391867497602947869707556288088668051176309662389579088152577155618264168885038564089521307389982829363544879036211637
m: 10000000000000000000000000000000000000000
deg: 5
c5: 1
c0: 719
skew: 3.73
# Murphy_E = 1.638e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8000000, 14600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 37361082
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2896616 x 2896863
Total sieving time: 161.42 hours.
Total relation processing time: 6.48 hours.
Matrix solve time: 14.39 hours.
Time per square root: 0.19 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: 182.48 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367580k/51380224k available (5540k kernel code, 1086464k absent, 926180k reserved, 6889k data, 1348k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.92 BogoMIPS (lpj=3399964)
Total of 12 processors activated (81599.13 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 10, 2014 19:47:31 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 31 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:22:11 UTC 2015 年 2 月 16 日 (月) 22 時 22 分 11 秒 (日本時間)
4511e61200 / 4342600Dmitry DomanovNovember 19, 2015 22:59:37 UTC 2015 年 11 月 20 日 (金) 7 時 59 分 37 秒 (日本時間)
600Dmitry DomanovDecember 3, 2015 17:29:39 UTC 2015 年 12 月 4 日 (金) 2 時 29 分 39 秒 (日本時間)

10202+7199

c183

name 名前Dmitry Domanov
date 日付December 4, 2015 06:39:17 UTC 2015 年 12 月 4 日 (金) 15 時 39 分 17 秒 (日本時間)
composite number 合成数
339557881054111439536277967391177201867812071878381005803966238700746600336212532595224153229166392223288363554522491279588472852699692436549128669574970541067191243384738149515491607<183>
prime factors 素因数
624715595035907591574521582067577232347926589688017<51>
543539946420889699633253618818300458136552384330715773644788926946471170466239422724943126777779832617846475667571157216699353767271<132>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4214916070
Step 1 took 83988ms
Step 2 took 33666ms
********** Factor found in step 2: 624715595035907591574521582067577232347926589688017
Found probable prime factor of 51 digits: 624715595035907591574521582067577232347926589688017

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6580280CypDecember 7, 2014 23:23:32 UTC 2014 年 12 月 8 日 (月) 8 時 23 分 32 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:22:27 UTC 2015 年 2 月 16 日 (月) 22 時 22 分 27 秒 (日本時間)
4511e61200 / 4347600Dmitry DomanovNovember 19, 2015 22:59:53 UTC 2015 年 11 月 20 日 (金) 7 時 59 分 53 秒 (日本時間)
600Dmitry DomanovDecember 3, 2015 17:29:51 UTC 2015 年 12 月 4 日 (金) 2 時 29 分 51 秒 (日本時間)

10203+7199

c184

name 名前Bob Backstrom
date 日付September 15, 2021 01:39:31 UTC 2021 年 9 月 15 日 (水) 10 時 39 分 31 秒 (日本時間)
composite number 合成数
4779550227247881628836193797071593594552728554918191694388517954414379500046624824486317331957322391801309186836440487210432158503056326837231066822107899972477256367238139097238350753<184>
prime factors 素因数
191239744184170284490184980733012738893869293951554993407857479251569027482397754281323<87>
24992452524120794354135013857569608248448780421119445520349363636769487321233701389221722189349411<98>
factorization results 素因数分解の結果
Number: n
N=4779550227247881628836193797071593594552728554918191694388517954414379500046624824486317331957322391801309186836440487210432158503056326837231066822107899972477256367238139097238350753  ( 184 digits)
SNFS difficulty: 204 digits.
Divisors found:

Wed Sep 15 11:28:37 2021  p87 factor: 191239744184170284490184980733012738893869293951554993407857479251569027482397754281323
Wed Sep 15 11:28:37 2021  p98 factor: 24992452524120794354135013857569608248448780421119445520349363636769487321233701389221722189349411
Wed Sep 15 11:28:37 2021  elapsed time 01:29:50 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 10^203+719 = 1(201)91
#
n: 4779550227247881628836193797071593594552728554918191694388517954414379500046624824486317331957322391801309186836440487210432158503056326837231066822107899972477256367238139097238350753
m: 10000000000000000000000000000000000
deg: 6
c6: 1
c0: 7190
skew: 4.39
# Murphy_E = 1.022e-11
type: snfs
lss: 1
rlim: 17600000
alim: 17600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17600000/17600000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 36000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9457573 hash collisions in 70796127 relations (63460416 unique)
Msieve: matrix is 1940780 x 1941008 (667.9 MB)

Sieving start time : 2021/09/14 20:15:25
Sieving end time  : 2021/09/15 09:56:40

Total sieving time: 13hrs 41min 15secs.

Total relation processing time: 1hrs 10min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 11sec.

Prototype def-par.txt line would be:
snfs,204,6,0,0,0,0,0,0,0,0,17600000,17600000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118839] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239964K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487272K reserved, 0K cma-reserved)
[    0.153502] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.11 BogoMIPS (lpj=12798236)
[    0.152049] smpboot: Total of 16 processors activated (102385.88 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6580280CypDecember 10, 2014 05:24:41 UTC 2014 年 12 月 10 日 (水) 14 時 24 分 41 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:22:43 UTC 2015 年 2 月 16 日 (月) 22 時 22 分 43 秒 (日本時間)
4511e61304 / 4347504CypJuly 4, 2015 06:00:58 UTC 2015 年 7 月 4 日 (土) 15 時 0 分 58 秒 (日本時間)
600Dmitry DomanovDecember 3, 2015 17:30:05 UTC 2015 年 12 月 4 日 (金) 2 時 30 分 5 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 06:56:33 UTC 2015 年 12 月 10 日 (木) 15 時 56 分 33 秒 (日本時間)

10204+7199

c190

name 名前Dmitry Domanov
date 日付December 6, 2014 21:47:06 UTC 2014 年 12 月 7 日 (日) 6 時 47 分 6 秒 (日本時間)
composite number 合成数
1390134228083666885259153907108374222608589068238850548692171761683663974699485311478628605114566500519361764917201974391408187394073266583661061009133371446083479434370993502767453021705961<190>
prime factors 素因数
18606794847291596150513000084291<32>
composite cofactor 合成数の残り
74711106318561615850339679007142880462843261058089154888486147436110691723025515575420202300782132624138899117253655619464713635619116911384987429479601974371<158>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1451713415
Step 1 took 11069ms
Step 2 took 5264ms
********** Factor found in step 2: 18606794847291596150513000084291
Found probable prime factor of 32 digits: 18606794847291596150513000084291

c158

name 名前Cyp
date 日付February 10, 2015 18:08:21 UTC 2015 年 2 月 11 日 (水) 3 時 8 分 21 秒 (日本時間)
composite number 合成数
74711106318561615850339679007142880462843261058089154888486147436110691723025515575420202300782132624138899117253655619464713635619116911384987429479601974371<158>
prime factors 素因数
1155962071725750402097951078105379917349471<43>
composite cofactor 合成数の残り
64631105246406969030841865519461327889286221760095124093587651365393939796252335901589104201529178885258424931531901<116>
factorization results 素因数分解の結果
11191_204_ecmLog.txt-Run 492 out of 591:
11191_204_ecmLog.txt-Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3005649343
11191_204_ecmLog.txt-Step 1 took 50404ms
11191_204_ecmLog.txt-Step 2 took 16765ms
11191_204_ecmLog.txt:********** Factor found in step 2: 1155962071725750402097951078105379917349471
11191_204_ecmLog.txt:Found probable prime factor of 43 digits: 1155962071725750402097951078105379917349471
11191_204_ecmLog.txt:Composite cofactor 64631105246406969030841865519461327889286221760095124093587651365393939796252335901589104201529178885258424931531901 has 116 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

c116

name 名前Dmitry Domanov
date 日付February 12, 2015 06:28:54 UTC 2015 年 2 月 12 日 (木) 15 時 28 分 54 秒 (日本時間)
composite number 合成数
64631105246406969030841865519461327889286221760095124093587651365393939796252335901589104201529178885258424931531901<116>
prime factors 素因数
6538141368134625104352913660949474172540308279<46>
9885241325830593050859555433512886148396005475530457642298569236797419<70>
factorization results 素因数分解の結果
N=64631105246406969030841865519461327889286221760095124093587651365393939796252335901589104201529178885258424931531901
  ( 116 digits)
Divisors found:
 r1=6538141368134625104352913660949474172540308279 (pp46)
 r2=9885241325830593050859555433512886148396005475530457642298569236797419 (pp70)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 23.91 hours.
Scaled time: 38.11 units (timescale=1.594).
Factorization parameters were as follows:
n: 64631105246406969030841865519461327889286221760095124093587651365393939796252335901589104201529178885258424931531901
skew: 114466.08
c0: 18891818645093637332038560696
c1: 347440332824964842851048
c2: 2965635608714866895
c3: -187741068605555
c4: -1041539971
c5: 5412
Y0: -26026572426005441932585
Y1: 340067706071
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2350000, 3550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 625527 x 625758
Total sieving time: 23.26 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.45 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4700000,4700000,27,27,54,54,2.5,2.5,100000
total time: 23.91 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280 / 2318CypDecember 10, 2014 11:07:24 UTC 2014 年 12 月 10 日 (水) 20 時 7 分 24 秒 (日本時間)

10205+7199

c185

name 名前Bob Backstrom
date 日付October 23, 2021 23:18:55 UTC 2021 年 10 月 24 日 (日) 8 時 18 分 55 秒 (日本時間)
composite number 合成数
46741233942153921061036114471366000577165029052879011534850009284766195378816119718443748642971192158810681080767286095653178296220243666572332577801620634052523940836086551237976627279<185>
prime factors 素因数
8822280503920372104750199391908444361058304553515164925528577<61>
5298089753707495219874089916337453724073574019462677732998643762274996524443864175034008071588500195459757886232519057474127<124>
factorization results 素因数分解の結果
Number: n
N=46741233942153921061036114471366000577165029052879011534850009284766195378816119718443748642971192158810681080767286095653178296220243666572332577801620634052523940836086551237976627279  ( 185 digits)
SNFS difficulty: 205 digits.
Divisors found:

Sun Oct 24 10:07:24 2021  p61 factor: 8822280503920372104750199391908444361058304553515164925528577
Sun Oct 24 10:07:24 2021  p124 factor: 5298089753707495219874089916337453724073574019462677732998643762274996524443864175034008071588500195459757886232519057474127
Sun Oct 24 10:07:24 2021  elapsed time 01:49:37 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 10^205+719 = 1(203)91
#
n: 46741233942153921061036114471366000577165029052879011534850009284766195378816119718443748642971192158810681080767286095653178296220243666572332577801620634052523940836086551237976627279
m: 100000000000000000000000000000000000000000
deg: 5
c5: 1
c0: 719
skew: 3.73
# Murphy_E = 1.009e-11
type: snfs
lss: 1
rlim: 18300000
alim: 18300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18300000/18300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 36350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9680250 hash collisions in 65900703 relations (58853037 unique)
Msieve: matrix is 2174955 x 2175184 (750.3 MB)

Sieving start time : 2021/10/23 19:56:45
Sieving end time  : 2021/10/24 08:14:14

Total sieving time: 12hrs 17min 29secs.

Total relation processing time: 1hrs 31min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 12sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18300000,18300000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118892] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487280K reserved, 0K cma-reserved)
[    0.152618] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.150210] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6580280CypDecember 10, 2014 00:35:22 UTC 2014 年 12 月 10 日 (水) 9 時 35 分 22 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:22:58 UTC 2015 年 2 月 16 日 (月) 22 時 22 分 58 秒 (日本時間)
4511e61400 / 4347600Dmitry DomanovNovember 19, 2015 23:01:36 UTC 2015 年 11 月 20 日 (金) 8 時 1 分 36 秒 (日本時間)
600Dmitry DomanovDecember 3, 2015 17:30:20 UTC 2015 年 12 月 4 日 (金) 2 時 30 分 20 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 06:56:52 UTC 2015 年 12 月 10 日 (木) 15 時 56 分 52 秒 (日本時間)

10207+7199

c165

name 名前Bob Backstrom
date 日付June 2, 2024 07:12:40 UTC 2024 年 6 月 2 日 (日) 16 時 12 分 40 秒 (日本時間)
composite number 合成数
516751793393821073286671949668795358649999801597309519166117090722213731614484159093035699660670560934383134974015894763699256008014533606856541206777629546090859077<165>
prime factors 素因数
225669039493782981482682818457053733133214820435498899<54>
2289865701351811756854425121213635176047642030478373870584517972542708598168806642212921405230568539830824455623<112>
factorization results 素因数分解の結果
Number: n
N=516751793393821073286671949668795358649999801597309519166117090722213731614484159093035699660670560934383134974015894763699256008014533606856541206777629546090859077  ( 165 digits)
SNFS difficulty: 207 digits.
Divisors found:

Fri May 31 19:51:08 2024  prp54 factor: 225669039493782981482682818457053733133214820435498899
Fri May 31 19:51:08 2024  prp112 factor: 2289865701351811756854425121213635176047642030478373870584517972542708598168806642212921405230568539830824455623
Fri May 31 19:51:08 2024  elapsed time 04:55:43 (Msieve 1.44 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.948).
Factorization parameters were as follows:
#
# N = 10^207+719 = 1(205)91
#
n: 516751793393821073286671949668795358649999801597309519166117090722213731614484159093035699660670560934383134974015894763699256008014533606856541206777629546090859077
m: 100000000000000000000000000000000000000000
deg: 5
c5: 100
c0: 719
skew: 1.48
# Murphy_E = 5.19e-12
type: snfs
lss: 1
rlim: 19700000
alim: 19700000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19700000/19700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49850000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 5053488 hash collisions in 20744915 relations (15388458 unique)
Msieve: matrix is 2898540 x 2898765 (816.9 MB)

Sieving start time: 2024/05/30 11:45:03
Sieving end time  : 2024/05/31 14:54:57

Total sieving time: 27hrs 9min 54secs.

Total relation processing time: 4hrs 35min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 37sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,19700000,19700000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6580280CypDecember 9, 2014 04:03:30 UTC 2014 年 12 月 9 日 (火) 13 時 3 分 30 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:23:14 UTC 2015 年 2 月 16 日 (月) 22 時 23 分 14 秒 (日本時間)
4511e64348504CypMay 30, 2015 05:16:17 UTC 2015 年 5 月 30 日 (土) 14 時 16 分 17 秒 (日本時間)
600Dmitry DomanovDecember 2, 2015 20:17:10 UTC 2015 年 12 月 3 日 (木) 5 時 17 分 10 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 06:57:05 UTC 2015 年 12 月 10 日 (木) 15 時 57 分 5 秒 (日本時間)
3044ebinaNovember 25, 2022 15:22:14 UTC 2022 年 11 月 26 日 (土) 0 時 22 分 14 秒 (日本時間)

10210+7199

c210

name 名前Serge Batalov
date 日付December 9, 2014 21:51:47 UTC 2014 年 12 月 10 日 (水) 6 時 51 分 47 秒 (日本時間)
composite number 合成数
111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111191<210>
prime factors 素因数
6001206653591711456150637461827435913133852169<46>
209337486058796352504324812746935989740187752469899177<54>
88444718509063059964878335627993494916104954404938260789006680777224644461637725625379755549593598708144393607<110>
factorization results 素因数分解の結果
RelProcTime: 2200
BLanczosTime: 9070
sqrtTime: 4700

prp46 factor: 6001206653591711456150637461827435913133852169
prp54 factor: 209337486058796352504324812746935989740187752469899177
prp110 factor: 88444718509063059964878335627993494916104954404938260789006680777224644461637725625379755549593598708144393607
software ソフトウェア
Msieve 1.52

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:38 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 38 秒 (日本時間)

10211+7199

c205

name 名前Bob Backstrom
date 日付September 15, 2019 07:07:51 UTC 2019 年 9 月 15 日 (日) 16 時 7 分 51 秒 (日本時間)
composite number 合成数
5536758261258582667399733460457303011830391376831213585433010484959119345377997254875254067994713503212150305269166734491955367084304342313401557268628561588961032849033088221045107415878647547133038888529<205>
prime factors 素因数
518187108776746680409611955471026432277627568715322287271034019190470998105746741765157993978477<96>
10684862991533843424167752257535883611392733724518471870050933798281424517245069330305443238298332014642015477<110>
factorization results 素因数分解の結果
Number: n
N=5536758261258582667399733460457303011830391376831213585433010484959119345377997254875254067994713503212150305269166734491955367084304342313401557268628561588961032849033088221045107415878647547133038888529
  ( 205 digits)
SNFS difficulty: 211 digits.
Divisors found:

Sun Sep 15 16:57:46 2019  p96 factor: 518187108776746680409611955471026432277627568715322287271034019190470998105746741765157993978477
Sun Sep 15 16:57:46 2019  p110 factor: 10684862991533843424167752257535883611392733724518471870050933798281424517245069330305443238298332014642015477
Sun Sep 15 16:57:46 2019  elapsed time 04:29:36 (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 = 10^211+719 = 1(209)91
#
n: 5536758261258582667399733460457303011830391376831213585433010484959119345377997254875254067994713503212150305269166734491955367084304342313401557268628561588961032849033088221045107415878647547133038888529
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 10
c0: 719
skew: 2.35
# Murphy_E = 3.806e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 51500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 13126621 hash collisions in 70571614 relations (59280719 unique)
Msieve: matrix is 3156697 x 3156923 (1090.8 MB)

Sieving start time: 2019/09/14 15:44:30
Sieving end time  : 2019/09/15 12:26:00

Total sieving time: 20hrs 41min 30secs.

Total relation processing time: 4hrs 5min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 58sec.

Prototype def-par.txt line would be:
snfs,211,5,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284064K/16703460K available (12300K kernel code, 2481K rwdata, 4172K rodata, 2436K init, 2384K bss, 419396K reserved, 0K cma-reserved)
[    0.080573] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.87 BogoMIPS (lpj=11977744)
[    0.078218] smpboot: Total of 16 processors activated (95821.95 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:39 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 39 秒 (日本時間)
4511e61000 / 3962Serge BatalovDecember 18, 2014 00:18:31 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 31 秒 (日本時間)

10212+7199

c210

name 名前Serge Batalov
date 日付December 10, 2014 18:55:18 UTC 2014 年 12 月 11 日 (木) 3 時 55 分 18 秒 (日本時間)
composite number 合成数
122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122101<210>
prime factors 素因数
6206359613738009850163586189448832344311684643289<49>
48318022968462864468368960775320032267266503861877419901327880478889196740671<77>
407164594267550906040179944546815993731763400520565601458088468628672718043127264579<84>
factorization results 素因数分解の結果
RelProcTime: 2354
BLanczosTime: 9446
sqrtTime: 1801
prp49 factor: 6206359613738009850163586189448832344311684643289
prp77 factor: 48318022968462864468368960775320032267266503861877419901327880478889196740671
prp84 factor: 407164594267550906040179944546815993731763400520565601458088468628672718043127264579
software ソフトウェア
Msieve 1.52

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:40 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 40 秒 (日本時間)
4511e63962Serge BatalovDecember 9, 2014 21:24:20 UTC 2014 年 12 月 10 日 (水) 6 時 24 分 20 秒 (日本時間)
5043e62000 / 6576500Serge BatalovDecember 9, 2014 22:18:14 UTC 2014 年 12 月 10 日 (水) 7 時 18 分 14 秒 (日本時間)
1500Serge BatalovDecember 10, 2014 01:27:50 UTC 2014 年 12 月 10 日 (水) 10 時 27 分 50 秒 (日本時間)

10214+7199

c155

name 名前NFS@Home/Mehrshad Alipour
date 日付November 8, 2024 10:53:47 UTC 2024 年 11 月 8 日 (金) 19 時 53 分 47 秒 (日本時間)
composite number 合成数
33948441710778512762157716717509376059119159966066586867202110467510015753224661326035819264216602840699755298841407538031796421866749029164254747187891671<155>
prime factors 素因数
309336362377658570982279212070816180177927343778589186245932598483<66>
109746042947682881883688662949028654092662331818641481793513337081788839286392922728726637<90>
factorization results 素因数分解の結果
Fri Nov  8 09:22:18 2024  
Fri Nov  8 09:22:18 2024  
Fri Nov  8 09:22:18 2024  Msieve v. 1.54 (SVN Unversioned directory)
Fri Nov  8 09:22:18 2024  random seeds: e96bf8be 1575153a
Fri Nov  8 09:22:18 2024  factoring 33948441710778512762157716717509376059119159966066586867202110467510015753224661326035819264216602840699755298841407538031796421866749029164254747187891671 (155 digits)
Fri Nov  8 09:22:18 2024  searching for 15-digit factors
Fri Nov  8 09:22:18 2024  commencing number field sieve (155-digit input)
Fri Nov  8 09:22:18 2024  R0: 10000000000000000000000000000000000000000000
Fri Nov  8 09:22:18 2024  R1: -1
Fri Nov  8 09:22:18 2024  A0: 7190
Fri Nov  8 09:22:18 2024  A1: 0
Fri Nov  8 09:22:18 2024  A2: 0
Fri Nov  8 09:22:18 2024  A3: 0
Fri Nov  8 09:22:18 2024  A4: 0
Fri Nov  8 09:22:18 2024  A5: 1
Fri Nov  8 09:22:18 2024  skew 8.47, size 3.677e-15, alpha 1.513, combined = 2.590e-12 rroots = 1
Fri Nov  8 09:22:18 2024  
Fri Nov  8 09:22:18 2024  commencing relation filtering
Fri Nov  8 09:22:18 2024  setting target matrix density to 120.0
Fri Nov  8 09:22:18 2024  estimated available RAM is 64046.8 MB
Fri Nov  8 09:22:18 2024  commencing duplicate removal, pass 1
Fri Nov  8 09:25:48 2024  error -15 reading relation 55313934
Fri Nov  8 09:26:15 2024  skipped 1 relations with b > 2^32
Fri Nov  8 09:26:15 2024  skipped 3 relations with composite factors
Fri Nov  8 09:26:15 2024  found 3419224 hash collisions in 62955338 relations
Fri Nov  8 09:26:32 2024  added 730733 free relations
Fri Nov  8 09:26:32 2024  commencing duplicate removal, pass 2
Fri Nov  8 09:26:44 2024  found 0 duplicates and 63686071 unique relations
Fri Nov  8 09:26:44 2024  memory use: 197.2 MB
Fri Nov  8 09:26:44 2024  reading ideals above 720000
Fri Nov  8 09:26:44 2024  commencing singleton removal, initial pass
Fri Nov  8 09:30:32 2024  memory use: 1506.0 MB
Fri Nov  8 09:30:32 2024  reading all ideals from disk
Fri Nov  8 09:30:33 2024  memory use: 2304.0 MB
Fri Nov  8 09:30:36 2024  keeping 65349268 ideals with weight <= 200, target excess is 351081
Fri Nov  8 09:30:40 2024  commencing in-memory singleton removal
Fri Nov  8 09:30:42 2024  begin with 63686071 relations and 65349268 unique ideals
Fri Nov  8 09:31:01 2024  reduce to 28310832 relations and 25045374 ideals in 15 passes
Fri Nov  8 09:31:01 2024  max relations containing the same ideal: 118
Fri Nov  8 09:31:09 2024  removing 2750718 relations and 2350718 ideals in 400000 cliques
Fri Nov  8 09:31:10 2024  commencing in-memory singleton removal
Fri Nov  8 09:31:11 2024  begin with 25560114 relations and 25045374 unique ideals
Fri Nov  8 09:31:19 2024  reduce to 25354181 relations and 22484916 ideals in 9 passes
Fri Nov  8 09:31:19 2024  max relations containing the same ideal: 109
Fri Nov  8 09:31:26 2024  removing 2086275 relations and 1686275 ideals in 400000 cliques
Fri Nov  8 09:31:27 2024  commencing in-memory singleton removal
Fri Nov  8 09:31:27 2024  begin with 23267906 relations and 22484916 unique ideals
Fri Nov  8 09:31:34 2024  reduce to 23139612 relations and 20668339 ideals in 8 passes
Fri Nov  8 09:31:34 2024  max relations containing the same ideal: 105
Fri Nov  8 09:31:41 2024  removing 1881072 relations and 1481072 ideals in 400000 cliques
Fri Nov  8 09:31:41 2024  commencing in-memory singleton removal
Fri Nov  8 09:31:42 2024  begin with 21258540 relations and 20668339 unique ideals
Fri Nov  8 09:31:48 2024  reduce to 21145361 relations and 19072279 ideals in 7 passes
Fri Nov  8 09:31:48 2024  max relations containing the same ideal: 100
Fri Nov  8 09:31:53 2024  removing 1772918 relations and 1372918 ideals in 400000 cliques
Fri Nov  8 09:31:54 2024  commencing in-memory singleton removal
Fri Nov  8 09:31:54 2024  begin with 19372443 relations and 19072279 unique ideals
Fri Nov  8 09:31:59 2024  reduce to 19265011 relations and 17590118 ideals in 7 passes
Fri Nov  8 09:31:59 2024  max relations containing the same ideal: 93
Fri Nov  8 09:32:05 2024  removing 1702351 relations and 1302351 ideals in 400000 cliques
Fri Nov  8 09:32:05 2024  commencing in-memory singleton removal
Fri Nov  8 09:32:06 2024  begin with 17562660 relations and 17590118 unique ideals
Fri Nov  8 09:32:11 2024  reduce to 17455455 relations and 16178695 ideals in 8 passes
Fri Nov  8 09:32:11 2024  max relations containing the same ideal: 89
Fri Nov  8 09:32:15 2024  removing 1658514 relations and 1258514 ideals in 400000 cliques
Fri Nov  8 09:32:16 2024  commencing in-memory singleton removal
Fri Nov  8 09:32:16 2024  begin with 15796941 relations and 16178695 unique ideals
Fri Nov  8 09:32:21 2024  reduce to 15686213 relations and 14807336 ideals in 8 passes
Fri Nov  8 09:32:21 2024  max relations containing the same ideal: 84
Fri Nov  8 09:32:25 2024  removing 1627262 relations and 1227262 ideals in 400000 cliques
Fri Nov  8 09:32:26 2024  commencing in-memory singleton removal
Fri Nov  8 09:32:26 2024  begin with 14058951 relations and 14807336 unique ideals
Fri Nov  8 09:32:30 2024  reduce to 13942587 relations and 13461225 ideals in 8 passes
Fri Nov  8 09:32:30 2024  max relations containing the same ideal: 77
Fri Nov  8 09:32:34 2024  removing 407277 relations and 333169 ideals in 74108 cliques
Fri Nov  8 09:32:35 2024  commencing in-memory singleton removal
Fri Nov  8 09:32:35 2024  begin with 13535310 relations and 13461225 unique ideals
Fri Nov  8 09:32:38 2024  reduce to 13528438 relations and 13121149 ideals in 6 passes
Fri Nov  8 09:32:38 2024  max relations containing the same ideal: 73
Fri Nov  8 09:32:40 2024  relations with 0 large ideals: 7537
Fri Nov  8 09:32:40 2024  relations with 1 large ideals: 4409
Fri Nov  8 09:32:40 2024  relations with 2 large ideals: 65077
Fri Nov  8 09:32:40 2024  relations with 3 large ideals: 427200
Fri Nov  8 09:32:40 2024  relations with 4 large ideals: 1487253
Fri Nov  8 09:32:40 2024  relations with 5 large ideals: 3022627
Fri Nov  8 09:32:40 2024  relations with 6 large ideals: 3862371
Fri Nov  8 09:32:40 2024  relations with 7+ large ideals: 4651964
Fri Nov  8 09:32:40 2024  commencing 2-way merge
Fri Nov  8 09:32:46 2024  reduce to 8510946 relation sets and 8103657 unique ideals
Fri Nov  8 09:32:46 2024  commencing full merge
Fri Nov  8 09:34:54 2024  memory use: 1098.8 MB
Fri Nov  8 09:34:54 2024  found 3863254 cycles, need 3837857
Fri Nov  8 09:34:55 2024  weight of 3837857 cycles is about 461152093 (120.16/cycle)
Fri Nov  8 09:34:55 2024  distribution of cycle lengths:
Fri Nov  8 09:34:55 2024  1 relations: 141129
Fri Nov  8 09:34:55 2024  2 relations: 231762
Fri Nov  8 09:34:55 2024  3 relations: 274585
Fri Nov  8 09:34:55 2024  4 relations: 281391
Fri Nov  8 09:34:55 2024  5 relations: 283446
Fri Nov  8 09:34:55 2024  6 relations: 276810
Fri Nov  8 09:34:55 2024  7 relations: 267936
Fri Nov  8 09:34:55 2024  8 relations: 255229
Fri Nov  8 09:34:55 2024  9 relations: 238350
Fri Nov  8 09:34:55 2024  10+ relations: 1587219
Fri Nov  8 09:34:55 2024  heaviest cycle: 28 relations
Fri Nov  8 09:34:56 2024  commencing cycle optimization
Fri Nov  8 09:35:01 2024  start with 34779962 relations
Fri Nov  8 09:35:49 2024  pruned 1536022 relations
Fri Nov  8 09:35:49 2024  memory use: 918.2 MB
Fri Nov  8 09:35:49 2024  distribution of cycle lengths:
Fri Nov  8 09:35:49 2024  1 relations: 141129
Fri Nov  8 09:35:49 2024  2 relations: 237837
Fri Nov  8 09:35:49 2024  3 relations: 286305
Fri Nov  8 09:35:49 2024  4 relations: 292960
Fri Nov  8 09:35:49 2024  5 relations: 297133
Fri Nov  8 09:35:49 2024  6 relations: 289297
Fri Nov  8 09:35:49 2024  7 relations: 280803
Fri Nov  8 09:35:49 2024  8 relations: 266197
Fri Nov  8 09:35:49 2024  9 relations: 248614
Fri Nov  8 09:35:49 2024  10+ relations: 1497582
Fri Nov  8 09:35:49 2024  heaviest cycle: 28 relations
Fri Nov  8 09:35:52 2024  RelProcTime: 814
Fri Nov  8 09:35:52 2024  elapsed time 00:13:34
Fri Nov  8 09:36:13 2024  
Fri Nov  8 09:36:13 2024  
Fri Nov  8 09:36:13 2024  Msieve v. 1.54 (SVN Unversioned directory)
Fri Nov  8 09:36:13 2024  random seeds: 70946d37 16ba3e30
Fri Nov  8 09:36:13 2024  factoring 33948441710778512762157716717509376059119159966066586867202110467510015753224661326035819264216602840699755298841407538031796421866749029164254747187891671 (155 digits)
Fri Nov  8 09:36:13 2024  searching for 15-digit factors
Fri Nov  8 09:36:13 2024  commencing number field sieve (155-digit input)
Fri Nov  8 09:36:13 2024  R0: 10000000000000000000000000000000000000000000
Fri Nov  8 09:36:13 2024  R1: -1
Fri Nov  8 09:36:13 2024  A0: 7190
Fri Nov  8 09:36:13 2024  A1: 0
Fri Nov  8 09:36:13 2024  A2: 0
Fri Nov  8 09:36:13 2024  A3: 0
Fri Nov  8 09:36:13 2024  A4: 0
Fri Nov  8 09:36:13 2024  A5: 1
Fri Nov  8 09:36:13 2024  skew 8.47, size 3.677e-15, alpha 1.513, combined = 2.590e-12 rroots = 1
Fri Nov  8 09:36:13 2024  
Fri Nov  8 09:36:13 2024  commencing linear algebra
Fri Nov  8 09:36:13 2024  read 3837857 cycles
Fri Nov  8 09:36:18 2024  cycles contain 13311426 unique relations
Fri Nov  8 09:36:49 2024  read 13311426 relations
Fri Nov  8 09:37:08 2024  using 20 quadratic characters above 4294917295
Fri Nov  8 09:37:49 2024  building initial matrix
Fri Nov  8 09:39:24 2024  memory use: 1681.4 MB
Fri Nov  8 09:39:25 2024  read 3837857 cycles
Fri Nov  8 09:39:25 2024  matrix is 3837680 x 3837857 (1802.0 MB) with weight 517179184 (134.76/col)
Fri Nov  8 09:39:25 2024  sparse part has weight 430166694 (112.09/col)
Fri Nov  8 09:39:52 2024  filtering completed in 2 passes
Fri Nov  8 09:39:53 2024  matrix is 3837597 x 3837774 (1802.0 MB) with weight 517175304 (134.76/col)
Fri Nov  8 09:39:53 2024  sparse part has weight 430164776 (112.09/col)
Fri Nov  8 09:40:08 2024  matrix starts at (0, 0)
Fri Nov  8 09:40:08 2024  matrix is 3837597 x 3837774 (1802.0 MB) with weight 517175304 (134.76/col)
Fri Nov  8 09:40:08 2024  sparse part has weight 430164776 (112.09/col)
Fri Nov  8 09:40:08 2024  saving the first 48 matrix rows for later
Fri Nov  8 09:40:09 2024  matrix includes 64 packed rows
Fri Nov  8 09:40:09 2024  matrix is 3837549 x 3837774 (1720.0 MB) with weight 442506412 (115.30/col)
Fri Nov  8 09:40:09 2024  sparse part has weight 412498210 (107.48/col)
Fri Nov  8 09:40:09 2024  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Fri Nov  8 09:40:17 2024  commencing Lanczos iteration (8 threads)
Fri Nov  8 09:40:17 2024  memory use: 1620.0 MB
Fri Nov  8 09:40:17 2024  VBITS = 64
Fri Nov  8 09:40:24 2024  linear algebra at 0.0%, ETA 4h12m
Fri Nov  8 09:40:26 2024  checkpointing every 910000 dimensions
Fri Nov  8 14:06:46 2024  lanczos halted after 60687 iterations (dim = 3837546)
Fri Nov  8 14:06:48 2024  recovered 37 nontrivial dependencies
Fri Nov  8 14:06:49 2024  BLanczosTime: 16236
Fri Nov  8 14:06:49 2024  elapsed time 04:30:36
Fri Nov  8 14:14:28 2024  
Fri Nov  8 14:14:28 2024  
Fri Nov  8 14:14:28 2024  Msieve v. 1.54 (SVN Unversioned directory)
Fri Nov  8 14:14:28 2024  random seeds: 4aaf08b5 2e8cfb60
Fri Nov  8 14:14:28 2024  factoring 33948441710778512762157716717509376059119159966066586867202110467510015753224661326035819264216602840699755298841407538031796421866749029164254747187891671 (155 digits)
Fri Nov  8 14:14:29 2024  searching for 15-digit factors
Fri Nov  8 14:14:29 2024  commencing number field sieve (155-digit input)
Fri Nov  8 14:14:29 2024  R0: 10000000000000000000000000000000000000000000
Fri Nov  8 14:14:29 2024  R1: -1
Fri Nov  8 14:14:29 2024  A0: 7190
Fri Nov  8 14:14:29 2024  A1: 0
Fri Nov  8 14:14:29 2024  A2: 0
Fri Nov  8 14:14:29 2024  A3: 0
Fri Nov  8 14:14:29 2024  A4: 0
Fri Nov  8 14:14:29 2024  A5: 1
Fri Nov  8 14:14:29 2024  skew 8.47, size 3.677e-15, alpha 1.513, combined = 2.590e-12 rroots = 1
Fri Nov  8 14:14:29 2024  
Fri Nov  8 14:14:29 2024  commencing square root phase
Fri Nov  8 14:14:29 2024  handling dependencies 1 to 64
Fri Nov  8 14:14:29 2024  reading relations for dependency 1
Fri Nov  8 14:14:29 2024  read 1918688 cycles
Fri Nov  8 14:14:31 2024  cycles contain 6652212 unique relations
Fri Nov  8 14:14:48 2024  read 6652212 relations
Fri Nov  8 14:15:03 2024  multiplying 6652212 relations
Fri Nov  8 14:16:15 2024  multiply complete, coefficients have about 170.97 million bits
Fri Nov  8 14:16:15 2024  initial square root is modulo 1366661
Fri Nov  8 14:17:41 2024  sqrtTime: 192
Fri Nov  8 14:17:41 2024  p66 factor: 309336362377658570982279212070816180177927343778589186245932598483
Fri Nov  8 14:17:41 2024  p90 factor: 109746042947682881883688662949028654092662331818641481793513337081788839286392922728726637
Fri Nov  8 14:17:41 2024  elapsed time 00:03:13
software ソフトウェア
NFS@Home, msieve
execution environment 実行環境
ubuntu, i3-12100, 64GB DDR4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 10, 2014 19:47:31 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 31 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:23:48 UTC 2015 年 2 月 16 日 (月) 22 時 23 分 48 秒 (日本時間)
4511e64342498CypMay 23, 2015 10:17:55 UTC 2015 年 5 月 23 日 (土) 19 時 17 分 55 秒 (日本時間)
600Dmitry DomanovDecember 2, 2015 20:17:35 UTC 2015 年 12 月 3 日 (木) 5 時 17 分 35 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 06:57:25 UTC 2015 年 12 月 10 日 (木) 15 時 57 分 25 秒 (日本時間)
3044ebinaNovember 26, 2022 15:11:42 UTC 2022 年 11 月 27 日 (日) 0 時 11 分 42 秒 (日本時間)

10216+7199

c203

name 名前Bob Backstrom
date 日付September 19, 2019 05:13:13 UTC 2019 年 9 月 19 日 (木) 14 時 13 分 13 秒 (日本時間)
composite number 合成数
20962021239674057959127496054823154265140480062025451509510550320104767404902589953256563271838484608702856343694326129195374155177047042286619966114655115638148401982505451759529531390556616456793136409<203>
prime factors 素因数
344132025764139785188365084840846633447967524287031802293054031306895284093724034963586201<90>
60912730203264916673674310715874682356748129830560557480190401726551377914671872252085629325692998333335701140609<113>
factorization results 素因数分解の結果
Number: n
N=20962021239674057959127496054823154265140480062025451509510550320104767404902589953256563271838484608702856343694326129195374155177047042286619966114655115638148401982505451759529531390556616456793136409
  ( 203 digits)
SNFS difficulty: 216 digits.
Divisors found:

Thu Sep 19 15:09:43 2019  p90 factor: 344132025764139785188365084840846633447967524287031802293054031306895284093724034963586201
Thu Sep 19 15:09:43 2019  p113 factor: 60912730203264916673674310715874682356748129830560557480190401726551377914671872252085629325692998333335701140609
Thu Sep 19 15:09:43 2019  elapsed time 05:56:11 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.127).
Factorization parameters were as follows:
#
# N = 10^216+719 = 1(214)91
#
n: 20962021239674057959127496054823154265140480062025451509510550320104767404902589953256563271838484608702856343694326129195374155177047042286619966114655115638148401982505451759529531390556616456793136409
m: 1000000000000000000000000000000000000
deg: 6
c6: 1
c0: 719
skew: 2.99
# Murphy_E = 2.936e-12
type: snfs
lss: 1
rlim: 28000000
alim: 28000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 28000000/28000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 61200000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 12093979 hash collisions in 69418776 relations (58569052 unique)
Msieve: matrix is 3617663 x 3617888 (1251.7 MB)

Sieving start time: 2019/09/18 08:08:21
Sieving end time  : 2019/09/19 09:11:34

Total sieving time: 25hrs 3min 13secs.

Total relation processing time: 5hrs 25min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 36sec.

Prototype def-par.txt line would be:
snfs,216,6,0,0,0,0,0,0,0,0,28000000,28000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284064K/16703460K available (12300K kernel code, 2481K rwdata, 4172K rodata, 2436K init, 2384K bss, 419396K reserved, 0K cma-reserved)
[    0.080573] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.87 BogoMIPS (lpj=11977744)
[    0.078218] smpboot: Total of 16 processors activated (95821.95 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6580280CypDecember 10, 2014 01:26:34 UTC 2014 年 12 月 10 日 (水) 10 時 26 分 34 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:24:07 UTC 2015 年 2 月 16 日 (月) 22 時 24 分 7 秒 (日本時間)
4511e61304 / 4347504CypMay 29, 2015 00:07:31 UTC 2015 年 5 月 29 日 (金) 9 時 7 分 31 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 08:07:46 UTC 2015 年 12 月 4 日 (金) 17 時 7 分 46 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 06:57:41 UTC 2015 年 12 月 10 日 (木) 15 時 57 分 41 秒 (日本時間)

10218+7199

c180

name 名前NFS@Home/Mehrshad Alipour
date 日付November 8, 2024 05:44:06 UTC 2024 年 11 月 8 日 (金) 14 時 44 分 6 秒 (日本時間)
composite number 合成数
651404640111848907059039842158087110559638100221757015997224088604334316077002740260633224306565316347044240799843973569205854130569879381054223942014368094748180190155089748673407<180>
prime factors 素因数
97620702557661535603775114708136294408336578103479783<53>
6672812457245780360761572756396310570680970971719774282824768876101074348764087665217246402374213157136538459375682359576885929<127>
factorization results 素因数分解の結果
Thu Nov  7 19:27:28 2024  
Thu Nov  7 19:27:28 2024  
Thu Nov  7 19:27:28 2024  Msieve v. 1.54 (SVN Unversioned directory)
Thu Nov  7 19:27:28 2024  random seeds: e286855a a8f91e2f
Thu Nov  7 19:27:28 2024  factoring 651404640111848907059039842158087110559638100221757015997224088604334316077002740260633224306565316347044240799843973569205854130569879381054223942014368094748180190155089748673407 (180 digits)
Thu Nov  7 19:27:28 2024  searching for 15-digit factors
Thu Nov  7 19:27:29 2024  commencing number field sieve (180-digit input)
Thu Nov  7 19:27:29 2024  R0: 1000000000000000000000000000000000000
Thu Nov  7 19:27:29 2024  R1: -1
Thu Nov  7 19:27:29 2024  A0: 719
Thu Nov  7 19:27:29 2024  A1: 0
Thu Nov  7 19:27:29 2024  A2: 0
Thu Nov  7 19:27:29 2024  A3: 0
Thu Nov  7 19:27:29 2024  A4: 0
Thu Nov  7 19:27:29 2024  A5: 0
Thu Nov  7 19:27:29 2024  A6: 100
Thu Nov  7 19:27:29 2024  skew 1.00, size 8.485e-11, alpha -2.329, combined = 2.949e-12 rroots = 0
Thu Nov  7 19:27:29 2024  
Thu Nov  7 19:27:29 2024  commencing relation filtering
Thu Nov  7 19:27:29 2024  setting target matrix density to 120.0
Thu Nov  7 19:27:29 2024  estimated available RAM is 64046.8 MB
Thu Nov  7 19:27:29 2024  commencing duplicate removal, pass 1
Thu Nov  7 19:30:23 2024  error -9 reading relation 45727450
Thu Nov  7 19:31:31 2024  error -9 reading relation 63741799
Thu Nov  7 19:31:33 2024  found 3554955 hash collisions in 64253021 relations
Thu Nov  7 19:31:41 2024  added 1218680 free relations
Thu Nov  7 19:31:41 2024  commencing duplicate removal, pass 2
Thu Nov  7 19:31:53 2024  found 0 duplicates and 65471701 unique relations
Thu Nov  7 19:31:53 2024  memory use: 197.2 MB
Thu Nov  7 19:31:53 2024  reading ideals above 720000
Thu Nov  7 19:31:53 2024  commencing singleton removal, initial pass
Thu Nov  7 19:35:55 2024  memory use: 1506.0 MB
Thu Nov  7 19:35:55 2024  reading all ideals from disk
Thu Nov  7 19:35:56 2024  memory use: 2358.4 MB
Thu Nov  7 19:35:58 2024  keeping 70191322 ideals with weight <= 200, target excess is 340541
Thu Nov  7 19:36:02 2024  commencing in-memory singleton removal
Thu Nov  7 19:36:04 2024  begin with 65471701 relations and 70191322 unique ideals
Thu Nov  7 19:36:27 2024  reduce to 25552237 relations and 24082222 ideals in 20 passes
Thu Nov  7 19:36:27 2024  max relations containing the same ideal: 109
Thu Nov  7 19:36:34 2024  removing 3460577 relations and 3060577 ideals in 400000 cliques
Thu Nov  7 19:36:35 2024  commencing in-memory singleton removal
Thu Nov  7 19:36:36 2024  begin with 22091660 relations and 24082222 unique ideals
Thu Nov  7 19:36:45 2024  reduce to 21644773 relations and 20564616 ideals in 12 passes
Thu Nov  7 19:36:45 2024  max relations containing the same ideal: 99
Thu Nov  7 19:36:51 2024  removing 2596520 relations and 2196520 ideals in 400000 cliques
Thu Nov  7 19:36:52 2024  commencing in-memory singleton removal
Thu Nov  7 19:36:52 2024  begin with 19048253 relations and 20564616 unique ideals
Thu Nov  7 19:36:59 2024  reduce to 18773730 relations and 18087968 ideals in 10 passes
Thu Nov  7 19:36:59 2024  max relations containing the same ideal: 89
Thu Nov  7 19:37:04 2024  removing 1812775 relations and 1522041 ideals in 290734 cliques
Thu Nov  7 19:37:05 2024  commencing in-memory singleton removal
Thu Nov  7 19:37:05 2024  begin with 16960955 relations and 18087968 unique ideals
Thu Nov  7 19:37:11 2024  reduce to 16816394 relations and 16419012 ideals in 9 passes
Thu Nov  7 19:37:11 2024  max relations containing the same ideal: 86
Thu Nov  7 19:37:17 2024  relations with 0 large ideals: 11877
Thu Nov  7 19:37:17 2024  relations with 1 large ideals: 6467
Thu Nov  7 19:37:17 2024  relations with 2 large ideals: 62050
Thu Nov  7 19:37:17 2024  relations with 3 large ideals: 429113
Thu Nov  7 19:37:17 2024  relations with 4 large ideals: 1611147
Thu Nov  7 19:37:17 2024  relations with 5 large ideals: 3529321
Thu Nov  7 19:37:17 2024  relations with 6 large ideals: 4665559
Thu Nov  7 19:37:17 2024  relations with 7+ large ideals: 6500860
Thu Nov  7 19:37:17 2024  commencing 2-way merge
Thu Nov  7 19:37:24 2024  reduce to 9837285 relation sets and 9439903 unique ideals
Thu Nov  7 19:37:24 2024  commencing full merge
Thu Nov  7 19:42:26 2024  memory use: 438.7 MB
Thu Nov  7 19:42:26 2024  found 28340 cycles, need 2152741
Thu Nov  7 19:42:26 2024  too few cycles, matrix probably cannot build
Thu Nov  7 19:42:27 2024  filtering wants 1000000 more relations
Thu Nov  7 19:42:27 2024  elapsed time 00:14:59
Thu Nov  7 19:43:03 2024  
Thu Nov  7 19:43:03 2024  
Thu Nov  7 19:43:03 2024  Msieve v. 1.54 (SVN Unversioned directory)
Thu Nov  7 19:43:03 2024  random seeds: f763d84f 997d5c8f
Thu Nov  7 19:43:03 2024  factoring 651404640111848907059039842158087110559638100221757015997224088604334316077002740260633224306565316347044240799843973569205854130569879381054223942014368094748180190155089748673407 (180 digits)
Thu Nov  7 19:43:03 2024  searching for 15-digit factors
Thu Nov  7 19:43:03 2024  commencing number field sieve (180-digit input)
Thu Nov  7 19:43:03 2024  R0: 1000000000000000000000000000000000000
Thu Nov  7 19:43:03 2024  R1: -1
Thu Nov  7 19:43:03 2024  A0: 719
Thu Nov  7 19:43:03 2024  A1: 0
Thu Nov  7 19:43:03 2024  A2: 0
Thu Nov  7 19:43:03 2024  A3: 0
Thu Nov  7 19:43:03 2024  A4: 0
Thu Nov  7 19:43:03 2024  A5: 0
Thu Nov  7 19:43:03 2024  A6: 100
Thu Nov  7 19:43:03 2024  skew 1.00, size 8.485e-11, alpha -2.329, combined = 2.949e-12 rroots = 0
Thu Nov  7 19:43:03 2024  
Thu Nov  7 19:43:03 2024  commencing relation filtering
Thu Nov  7 19:43:03 2024  setting target matrix density to 115.0
Thu Nov  7 19:43:03 2024  estimated available RAM is 64046.8 MB
Thu Nov  7 19:43:03 2024  commencing duplicate removal, pass 1
Thu Nov  7 19:45:56 2024  error -9 reading relation 45727450
Thu Nov  7 19:47:05 2024  error -9 reading relation 63741799
Thu Nov  7 19:47:16 2024  found 3684198 hash collisions in 65471701 relations
Thu Nov  7 19:47:22 2024  commencing duplicate removal, pass 2
Thu Nov  7 19:47:34 2024  found 0 duplicates and 65471701 unique relations
Thu Nov  7 19:47:34 2024  memory use: 197.2 MB
Thu Nov  7 19:47:34 2024  reading ideals above 720000
Thu Nov  7 19:47:34 2024  commencing singleton removal, initial pass
Thu Nov  7 19:51:35 2024  memory use: 1506.0 MB
Thu Nov  7 19:51:35 2024  reading all ideals from disk
Thu Nov  7 19:51:36 2024  memory use: 2358.4 MB
Thu Nov  7 19:51:39 2024  keeping 70191322 ideals with weight <= 200, target excess is 340541
Thu Nov  7 19:51:43 2024  commencing in-memory singleton removal
Thu Nov  7 19:51:45 2024  begin with 65471701 relations and 70191322 unique ideals
Thu Nov  7 19:52:07 2024  reduce to 25552237 relations and 24082222 ideals in 20 passes
Thu Nov  7 19:52:07 2024  max relations containing the same ideal: 109
Thu Nov  7 19:52:15 2024  removing 3460577 relations and 3060577 ideals in 400000 cliques
Thu Nov  7 19:52:15 2024  commencing in-memory singleton removal
Thu Nov  7 19:52:16 2024  begin with 22091660 relations and 24082222 unique ideals
Thu Nov  7 19:52:25 2024  reduce to 21644773 relations and 20564616 ideals in 12 passes
Thu Nov  7 19:52:25 2024  max relations containing the same ideal: 99
Thu Nov  7 19:52:31 2024  removing 2596520 relations and 2196520 ideals in 400000 cliques
Thu Nov  7 19:52:32 2024  commencing in-memory singleton removal
Thu Nov  7 19:52:33 2024  begin with 19048253 relations and 20564616 unique ideals
Thu Nov  7 19:52:39 2024  reduce to 18773730 relations and 18087968 ideals in 10 passes
Thu Nov  7 19:52:39 2024  max relations containing the same ideal: 89
Thu Nov  7 19:52:45 2024  removing 1812775 relations and 1522041 ideals in 290734 cliques
Thu Nov  7 19:52:45 2024  commencing in-memory singleton removal
Thu Nov  7 19:52:46 2024  begin with 16960955 relations and 18087968 unique ideals
Thu Nov  7 19:52:51 2024  reduce to 16816394 relations and 16419012 ideals in 9 passes
Thu Nov  7 19:52:51 2024  max relations containing the same ideal: 86
Thu Nov  7 19:52:57 2024  relations with 0 large ideals: 11877
Thu Nov  7 19:52:57 2024  relations with 1 large ideals: 6467
Thu Nov  7 19:52:57 2024  relations with 2 large ideals: 62050
Thu Nov  7 19:52:57 2024  relations with 3 large ideals: 429113
Thu Nov  7 19:52:57 2024  relations with 4 large ideals: 1611147
Thu Nov  7 19:52:57 2024  relations with 5 large ideals: 3529321
Thu Nov  7 19:52:57 2024  relations with 6 large ideals: 4665559
Thu Nov  7 19:52:57 2024  relations with 7+ large ideals: 6500860
Thu Nov  7 19:52:57 2024  commencing 2-way merge
Thu Nov  7 19:53:04 2024  reduce to 9837285 relation sets and 9439903 unique ideals
Thu Nov  7 19:53:04 2024  commencing full merge
Thu Nov  7 19:58:06 2024  memory use: 438.7 MB
Thu Nov  7 19:58:06 2024  found 28340 cycles, need 2152741
Thu Nov  7 19:58:06 2024  too few cycles, matrix probably cannot build
Thu Nov  7 19:58:06 2024  filtering wants 1000000 more relations
Thu Nov  7 19:58:06 2024  elapsed time 00:15:03
Thu Nov  7 19:58:35 2024  
Thu Nov  7 19:58:35 2024  
Thu Nov  7 19:58:35 2024  Msieve v. 1.54 (SVN Unversioned directory)
Thu Nov  7 19:58:35 2024  random seeds: 369eb5d8 32748722
Thu Nov  7 19:58:35 2024  factoring 651404640111848907059039842158087110559638100221757015997224088604334316077002740260633224306565316347044240799843973569205854130569879381054223942014368094748180190155089748673407 (180 digits)
Thu Nov  7 19:58:36 2024  searching for 15-digit factors
Thu Nov  7 19:58:36 2024  commencing number field sieve (180-digit input)
Thu Nov  7 19:58:36 2024  R0: 1000000000000000000000000000000000000
Thu Nov  7 19:58:36 2024  R1: -1
Thu Nov  7 19:58:36 2024  A0: 719
Thu Nov  7 19:58:36 2024  A1: 0
Thu Nov  7 19:58:36 2024  A2: 0
Thu Nov  7 19:58:36 2024  A3: 0
Thu Nov  7 19:58:36 2024  A4: 0
Thu Nov  7 19:58:36 2024  A5: 0
Thu Nov  7 19:58:36 2024  A6: 100
Thu Nov  7 19:58:36 2024  skew 1.00, size 8.485e-11, alpha -2.329, combined = 2.949e-12 rroots = 0
Thu Nov  7 19:58:36 2024  
Thu Nov  7 19:58:36 2024  commencing relation filtering
Thu Nov  7 19:58:36 2024  setting target matrix density to 110.0
Thu Nov  7 19:58:36 2024  estimated available RAM is 64046.8 MB
Thu Nov  7 19:58:36 2024  commencing duplicate removal, pass 1
Thu Nov  7 20:01:29 2024  error -9 reading relation 45727450
Thu Nov  7 20:02:37 2024  error -9 reading relation 63741799
Thu Nov  7 20:02:48 2024  found 3684198 hash collisions in 65471701 relations
Thu Nov  7 20:02:55 2024  commencing duplicate removal, pass 2
Thu Nov  7 20:03:06 2024  found 0 duplicates and 65471701 unique relations
Thu Nov  7 20:03:06 2024  memory use: 197.2 MB
Thu Nov  7 20:03:06 2024  reading ideals above 720000
Thu Nov  7 20:03:06 2024  commencing singleton removal, initial pass
Thu Nov  7 20:07:08 2024  memory use: 1506.0 MB
Thu Nov  7 20:07:09 2024  reading all ideals from disk
Thu Nov  7 20:07:09 2024  memory use: 2358.4 MB
Thu Nov  7 20:07:12 2024  keeping 70191322 ideals with weight <= 200, target excess is 340541
Thu Nov  7 20:07:16 2024  commencing in-memory singleton removal
Thu Nov  7 20:07:18 2024  begin with 65471701 relations and 70191322 unique ideals
Thu Nov  7 20:07:40 2024  reduce to 25552237 relations and 24082222 ideals in 20 passes
Thu Nov  7 20:07:40 2024  max relations containing the same ideal: 109
Thu Nov  7 20:07:48 2024  removing 3460577 relations and 3060577 ideals in 400000 cliques
Thu Nov  7 20:07:48 2024  commencing in-memory singleton removal
Thu Nov  7 20:07:49 2024  begin with 22091660 relations and 24082222 unique ideals
Thu Nov  7 20:07:59 2024  reduce to 21644773 relations and 20564616 ideals in 12 passes
Thu Nov  7 20:07:59 2024  max relations containing the same ideal: 99
Thu Nov  7 20:08:05 2024  removing 2596520 relations and 2196520 ideals in 400000 cliques
Thu Nov  7 20:08:05 2024  commencing in-memory singleton removal
Thu Nov  7 20:08:06 2024  begin with 19048253 relations and 20564616 unique ideals
Thu Nov  7 20:08:13 2024  reduce to 18773730 relations and 18087968 ideals in 10 passes
Thu Nov  7 20:08:13 2024  max relations containing the same ideal: 89
Thu Nov  7 20:08:18 2024  removing 1812775 relations and 1522041 ideals in 290734 cliques
Thu Nov  7 20:08:18 2024  commencing in-memory singleton removal
Thu Nov  7 20:08:19 2024  begin with 16960955 relations and 18087968 unique ideals
Thu Nov  7 20:08:24 2024  reduce to 16816394 relations and 16419012 ideals in 9 passes
Thu Nov  7 20:08:24 2024  max relations containing the same ideal: 86
Thu Nov  7 20:08:30 2024  relations with 0 large ideals: 11877
Thu Nov  7 20:08:30 2024  relations with 1 large ideals: 6467
Thu Nov  7 20:08:30 2024  relations with 2 large ideals: 62050
Thu Nov  7 20:08:30 2024  relations with 3 large ideals: 429113
Thu Nov  7 20:08:30 2024  relations with 4 large ideals: 1611147
Thu Nov  7 20:08:30 2024  relations with 5 large ideals: 3529321
Thu Nov  7 20:08:30 2024  relations with 6 large ideals: 4665559
Thu Nov  7 20:08:30 2024  relations with 7+ large ideals: 6500860
Thu Nov  7 20:08:30 2024  commencing 2-way merge
Thu Nov  7 20:08:37 2024  reduce to 9837285 relation sets and 9439903 unique ideals
Thu Nov  7 20:08:37 2024  commencing full merge
Thu Nov  7 20:13:39 2024  memory use: 438.7 MB
Thu Nov  7 20:13:39 2024  found 28340 cycles, need 2152741
Thu Nov  7 20:13:39 2024  too few cycles, matrix probably cannot build
Thu Nov  7 20:13:39 2024  filtering wants 1000000 more relations
Thu Nov  7 20:13:39 2024  elapsed time 00:15:04
Thu Nov  7 20:13:57 2024  
Thu Nov  7 20:13:57 2024  
Thu Nov  7 20:13:57 2024  Msieve v. 1.54 (SVN Unversioned directory)
Thu Nov  7 20:13:57 2024  random seeds: 30798c79 0d1d6395
Thu Nov  7 20:13:57 2024  factoring 651404640111848907059039842158087110559638100221757015997224088604334316077002740260633224306565316347044240799843973569205854130569879381054223942014368094748180190155089748673407 (180 digits)
Thu Nov  7 20:13:58 2024  searching for 15-digit factors
Thu Nov  7 20:13:58 2024  commencing number field sieve (180-digit input)
Thu Nov  7 20:13:58 2024  R0: 1000000000000000000000000000000000000
Thu Nov  7 20:13:58 2024  R1: -1
Thu Nov  7 20:13:58 2024  A0: 719
Thu Nov  7 20:13:58 2024  A1: 0
Thu Nov  7 20:13:58 2024  A2: 0
Thu Nov  7 20:13:58 2024  A3: 0
Thu Nov  7 20:13:58 2024  A4: 0
Thu Nov  7 20:13:58 2024  A5: 0
Thu Nov  7 20:13:58 2024  A6: 100
Thu Nov  7 20:13:58 2024  skew 1.00, size 8.485e-11, alpha -2.329, combined = 2.949e-12 rroots = 0
Thu Nov  7 20:13:58 2024  
Thu Nov  7 20:13:58 2024  commencing relation filtering
Thu Nov  7 20:13:58 2024  estimated available RAM is 64046.8 MB
Thu Nov  7 20:13:58 2024  commencing duplicate removal, pass 1
Thu Nov  7 20:16:50 2024  error -9 reading relation 45727450
Thu Nov  7 20:17:59 2024  error -9 reading relation 63741799
Thu Nov  7 20:18:10 2024  found 3684198 hash collisions in 65471701 relations
Thu Nov  7 20:18:17 2024  commencing duplicate removal, pass 2
Thu Nov  7 20:18:28 2024  found 0 duplicates and 65471701 unique relations
Thu Nov  7 20:18:28 2024  memory use: 197.2 MB
Thu Nov  7 20:18:28 2024  reading ideals above 720000
Thu Nov  7 20:18:28 2024  commencing singleton removal, initial pass
Thu Nov  7 20:22:29 2024  memory use: 1506.0 MB
Thu Nov  7 20:22:30 2024  reading all ideals from disk
Thu Nov  7 20:22:31 2024  memory use: 2358.4 MB
Thu Nov  7 20:22:33 2024  keeping 70191322 ideals with weight <= 200, target excess is 340541
Thu Nov  7 20:22:37 2024  commencing in-memory singleton removal
Thu Nov  7 20:22:39 2024  begin with 65471701 relations and 70191322 unique ideals
Thu Nov  7 20:23:01 2024  reduce to 25552237 relations and 24082222 ideals in 20 passes
Thu Nov  7 20:23:01 2024  max relations containing the same ideal: 109
Thu Nov  7 20:23:09 2024  removing 3460577 relations and 3060577 ideals in 400000 cliques
Thu Nov  7 20:23:09 2024  commencing in-memory singleton removal
Thu Nov  7 20:23:10 2024  begin with 22091660 relations and 24082222 unique ideals
Thu Nov  7 20:23:20 2024  reduce to 21644773 relations and 20564616 ideals in 12 passes
Thu Nov  7 20:23:20 2024  max relations containing the same ideal: 99
Thu Nov  7 20:23:26 2024  removing 2596520 relations and 2196520 ideals in 400000 cliques
Thu Nov  7 20:23:26 2024  commencing in-memory singleton removal
Thu Nov  7 20:23:27 2024  begin with 19048253 relations and 20564616 unique ideals
Thu Nov  7 20:23:34 2024  reduce to 18773730 relations and 18087968 ideals in 10 passes
Thu Nov  7 20:23:34 2024  max relations containing the same ideal: 89
Thu Nov  7 20:23:39 2024  removing 1812775 relations and 1522041 ideals in 290734 cliques
Thu Nov  7 20:23:40 2024  commencing in-memory singleton removal
Thu Nov  7 20:23:40 2024  begin with 16960955 relations and 18087968 unique ideals
Thu Nov  7 20:23:45 2024  reduce to 16816394 relations and 16419012 ideals in 9 passes
Thu Nov  7 20:23:45 2024  max relations containing the same ideal: 86
Thu Nov  7 20:23:52 2024  relations with 0 large ideals: 11877
Thu Nov  7 20:23:52 2024  relations with 1 large ideals: 6467
Thu Nov  7 20:23:52 2024  relations with 2 large ideals: 62050
Thu Nov  7 20:23:52 2024  relations with 3 large ideals: 429113
Thu Nov  7 20:23:52 2024  relations with 4 large ideals: 1611147
Thu Nov  7 20:23:52 2024  relations with 5 large ideals: 3529321
Thu Nov  7 20:23:52 2024  relations with 6 large ideals: 4665559
Thu Nov  7 20:23:52 2024  relations with 7+ large ideals: 6500860
Thu Nov  7 20:23:52 2024  commencing 2-way merge
Thu Nov  7 20:23:59 2024  reduce to 9837285 relation sets and 9439903 unique ideals
Thu Nov  7 20:23:59 2024  commencing full merge
Thu Nov  7 20:25:57 2024  memory use: 1250.1 MB
Thu Nov  7 20:25:58 2024  found 4730541 cycles, need 4700103
Thu Nov  7 20:25:59 2024  weight of 4700103 cycles is about 423074358 (90.01/cycle)
Thu Nov  7 20:25:59 2024  distribution of cycle lengths:
Thu Nov  7 20:25:59 2024  1 relations: 518114
Thu Nov  7 20:25:59 2024  2 relations: 478437
Thu Nov  7 20:25:59 2024  3 relations: 453589
Thu Nov  7 20:25:59 2024  4 relations: 408344
Thu Nov  7 20:25:59 2024  5 relations: 373257
Thu Nov  7 20:25:59 2024  6 relations: 334162
Thu Nov  7 20:25:59 2024  7 relations: 300824
Thu Nov  7 20:25:59 2024  8 relations: 267047
Thu Nov  7 20:25:59 2024  9 relations: 236880
Thu Nov  7 20:25:59 2024  10+ relations: 1329449
Thu Nov  7 20:25:59 2024  heaviest cycle: 28 relations
Thu Nov  7 20:25:59 2024  commencing cycle optimization
Thu Nov  7 20:26:04 2024  start with 33552952 relations
Thu Nov  7 20:26:37 2024  pruned 962569 relations
Thu Nov  7 20:26:37 2024  memory use: 1022.8 MB
Thu Nov  7 20:26:37 2024  distribution of cycle lengths:
Thu Nov  7 20:26:37 2024  1 relations: 518114
Thu Nov  7 20:26:37 2024  2 relations: 488059
Thu Nov  7 20:26:37 2024  3 relations: 468257
Thu Nov  7 20:26:37 2024  4 relations: 418714
Thu Nov  7 20:26:37 2024  5 relations: 383917
Thu Nov  7 20:26:37 2024  6 relations: 341590
Thu Nov  7 20:26:37 2024  7 relations: 307123
Thu Nov  7 20:26:37 2024  8 relations: 270552
Thu Nov  7 20:26:37 2024  9 relations: 239613
Thu Nov  7 20:26:37 2024  10+ relations: 1264164
Thu Nov  7 20:26:37 2024  heaviest cycle: 28 relations
Thu Nov  7 20:26:41 2024  RelProcTime: 763
Thu Nov  7 20:26:41 2024  elapsed time 00:12:44
Thu Nov  7 20:26:57 2024  
Thu Nov  7 20:26:57 2024  
Thu Nov  7 20:26:57 2024  Msieve v. 1.54 (SVN Unversioned directory)
Thu Nov  7 20:26:57 2024  random seeds: 7953dfa1 a6e409b6
Thu Nov  7 20:26:57 2024  factoring 651404640111848907059039842158087110559638100221757015997224088604334316077002740260633224306565316347044240799843973569205854130569879381054223942014368094748180190155089748673407 (180 digits)
Thu Nov  7 20:26:58 2024  searching for 15-digit factors
Thu Nov  7 20:26:58 2024  commencing number field sieve (180-digit input)
Thu Nov  7 20:26:58 2024  R0: 1000000000000000000000000000000000000
Thu Nov  7 20:26:58 2024  R1: -1
Thu Nov  7 20:26:58 2024  A0: 719
Thu Nov  7 20:26:58 2024  A1: 0
Thu Nov  7 20:26:58 2024  A2: 0
Thu Nov  7 20:26:58 2024  A3: 0
Thu Nov  7 20:26:58 2024  A4: 0
Thu Nov  7 20:26:58 2024  A5: 0
Thu Nov  7 20:26:58 2024  A6: 100
Thu Nov  7 20:26:58 2024  skew 1.00, size 8.485e-11, alpha -2.329, combined = 2.949e-12 rroots = 0
Thu Nov  7 20:26:58 2024  
Thu Nov  7 20:26:58 2024  commencing linear algebra
Thu Nov  7 20:26:58 2024  read 4700103 cycles
Thu Nov  7 20:27:03 2024  cycles contain 16425683 unique relations
Thu Nov  7 20:27:43 2024  read 16425683 relations
Thu Nov  7 20:28:02 2024  using 20 quadratic characters above 4294917295
Thu Nov  7 20:28:52 2024  building initial matrix
Thu Nov  7 20:30:24 2024  memory use: 1995.5 MB
Thu Nov  7 20:30:26 2024  read 4700103 cycles
Thu Nov  7 20:30:26 2024  matrix is 4699926 x 4700103 (1737.1 MB) with weight 515888917 (109.76/col)
Thu Nov  7 20:30:26 2024  sparse part has weight 403661342 (85.88/col)
Thu Nov  7 20:30:52 2024  filtering completed in 2 passes
Thu Nov  7 20:30:52 2024  matrix is 4698036 x 4698213 (1736.9 MB) with weight 515813389 (109.79/col)
Thu Nov  7 20:30:52 2024  sparse part has weight 403636028 (85.91/col)
Thu Nov  7 20:31:08 2024  matrix starts at (0, 0)
Thu Nov  7 20:31:08 2024  matrix is 4698036 x 4698213 (1736.9 MB) with weight 515813389 (109.79/col)
Thu Nov  7 20:31:08 2024  sparse part has weight 403636028 (85.91/col)
Thu Nov  7 20:31:08 2024  saving the first 48 matrix rows for later
Thu Nov  7 20:31:08 2024  matrix includes 64 packed rows
Thu Nov  7 20:31:08 2024  matrix is 4697988 x 4698213 (1673.4 MB) with weight 429539876 (91.43/col)
Thu Nov  7 20:31:08 2024  sparse part has weight 391695867 (83.37/col)
Thu Nov  7 20:31:08 2024  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Thu Nov  7 20:31:16 2024  commencing Lanczos iteration (8 threads)
Thu Nov  7 20:31:16 2024  memory use: 1609.5 MB
Thu Nov  7 20:31:16 2024  VBITS = 64
Thu Nov  7 20:31:23 2024  linear algebra at 0.0%, ETA 6h 1m
Thu Nov  7 20:31:26 2024  checkpointing every 730000 dimensions
Fri Nov  8 02:30:02 2024  lanczos halted after 74294 iterations (dim = 4697982)
Fri Nov  8 02:30:06 2024  recovered 36 nontrivial dependencies
Fri Nov  8 02:30:06 2024  BLanczosTime: 21788
Fri Nov  8 02:30:06 2024  elapsed time 06:03:09
Fri Nov  8 05:01:27 2024  
Fri Nov  8 05:01:27 2024  
Fri Nov  8 05:01:27 2024  Msieve v. 1.54 (SVN Unversioned directory)
Fri Nov  8 05:01:27 2024  random seeds: d1b70461 ba3433e7
Fri Nov  8 05:01:27 2024  factoring 651404640111848907059039842158087110559638100221757015997224088604334316077002740260633224306565316347044240799843973569205854130569879381054223942014368094748180190155089748673407 (180 digits)
Fri Nov  8 05:01:27 2024  searching for 15-digit factors
Fri Nov  8 05:01:28 2024  commencing number field sieve (180-digit input)
Fri Nov  8 05:01:28 2024  R0: 1000000000000000000000000000000000000
Fri Nov  8 05:01:28 2024  R1: -1
Fri Nov  8 05:01:28 2024  A0: 719
Fri Nov  8 05:01:28 2024  A1: 0
Fri Nov  8 05:01:28 2024  A2: 0
Fri Nov  8 05:01:28 2024  A3: 0
Fri Nov  8 05:01:28 2024  A4: 0
Fri Nov  8 05:01:28 2024  A5: 0
Fri Nov  8 05:01:28 2024  A6: 100
Fri Nov  8 05:01:28 2024  skew 1.00, size 8.485e-11, alpha -2.329, combined = 2.949e-12 rroots = 0
Fri Nov  8 05:01:28 2024  
Fri Nov  8 05:01:28 2024  commencing square root phase
Fri Nov  8 05:01:28 2024  reading relations for dependency 1
Fri Nov  8 05:01:28 2024  read 2348468 cycles
Fri Nov  8 05:01:30 2024  cycles contain 8211860 unique relations
Fri Nov  8 05:01:52 2024  read 8211860 relations
Fri Nov  8 05:02:11 2024  multiplying 8211860 relations
Fri Nov  8 05:04:38 2024  multiply complete, coefficients have about 254.00 million bits
Fri Nov  8 05:04:39 2024  initial square root is modulo 1304178529
Fri Nov  8 05:07:31 2024  sqrtTime: 363
Fri Nov  8 05:07:31 2024  p53 factor: 97620702557661535603775114708136294408336578103479783
Fri Nov  8 05:07:31 2024  p127 factor: 6672812457245780360761572756396310570680970971719774282824768876101074348764087665217246402374213157136538459375682359576885929
Fri Nov  8 05:07:31 2024  elapsed time 00:06:04
software ソフトウェア
NFS@home, msieve
execution environment 実行環境
ubuntu, i3-12100k, 64GB DDR4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6580280CypDecember 8, 2014 15:25:55 UTC 2014 年 12 月 9 日 (火) 0 時 25 分 55 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:24:32 UTC 2015 年 2 月 16 日 (月) 22 時 24 分 32 秒 (日本時間)
4511e64508504CypJune 21, 2015 21:23:38 UTC 2015 年 6 月 22 日 (月) 6 時 23 分 38 秒 (日本時間)
600Dmitry DomanovDecember 3, 2015 17:30:59 UTC 2015 年 12 月 4 日 (金) 2 時 30 分 59 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 06:57:57 UTC 2015 年 12 月 10 日 (木) 15 時 57 分 57 秒 (日本時間)
3204Thomas KozlowskiOctober 27, 2024 15:20:12 UTC 2024 年 10 月 28 日 (月) 0 時 20 分 12 秒 (日本時間)

10219+7199

c173

name 名前Erik Branger
date 日付October 29, 2019 19:27:21 UTC 2019 年 10 月 30 日 (水) 4 時 27 分 21 秒 (日本時間)
composite number 合成数
67714424982582218178540139794176988198988223266947907893315293807359929474756052314929782075670572322921542783971277633202127694216693405494396765180213219584438882318119403<173>
prime factors 素因数
35235737396564983812396949286425302823918424950486443459956212078842229<71>
1921754161704686641029095339392719628224307940479630043851455759802103135682276927020291003261515082207<103>
factorization results 素因数分解の結果
Number: 11191_219
N = 67714424982582218178540139794176988198988223266947907893315293807359929474756052314929782075670572322921542783971277633202127694216693405494396765180213219584438882318119403 (173 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=35235737396564983812396949286425302823918424950486443459956212078842229 (pp71)
r2=1921754161704686641029095339392719628224307940479630043851455759802103135682276927020291003261515082207 (pp103)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 53.97 hours.
Factorization parameters were as follows:
n: 67714424982582218178540139794176988198988223266947907893315293807359929474756052314929782075670572322921542783971277633202127694216693405494396765180213219584438882318119403
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1
c0: 7190
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 34043938
Relations: 9559048 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 25.59 hours.
Total relation processing time: 0.28 hours.
Pruned matrix : 8121315 x 8121540
Matrix solve time: 27.48 hours.
time per square root: 0.62 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 53.97 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6580280CypDecember 10, 2014 04:37:19 UTC 2014 年 12 月 10 日 (水) 13 時 37 分 19 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:24:53 UTC 2015 年 2 月 16 日 (月) 22 時 24 分 53 秒 (日本時間)
4511e61304 / 4347335CypJanuary 2, 2015 03:20:51 UTC 2015 年 1 月 2 日 (金) 12 時 20 分 51 秒 (日本時間)
169CypJuly 4, 2015 12:55:51 UTC 2015 年 7 月 4 日 (土) 21 時 55 分 51 秒 (日本時間)
600Dmitry DomanovDecember 2, 2015 20:17:52 UTC 2015 年 12 月 3 日 (木) 5 時 17 分 52 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 06:58:10 UTC 2015 年 12 月 10 日 (木) 15 時 58 分 10 秒 (日本時間)

10220+7199

c197

name 名前Erik Branger
date 日付January 18, 2018 18:55:42 UTC 2018 年 1 月 19 日 (金) 3 時 55 分 42 秒 (日本時間)
composite number 合成数
13160194633827926546379940716921878558464535377999399509514217034659583647252920714799519230291726445524515843457346833745000287566475840735628763302301072417339871760139384147868411664635626327593<197>
prime factors 素因数
8003101948701876681760494839821084051570288474770423792837326072070153566017<76>
1644386728818635542092899767937859794116945326796590401897840368690266242250731039202058777433610274522510651455701124329<121>
factorization results 素因数分解の結果
Number: 11191_220
N = 13160194633827926546379940716921878558464535377999399509514217034659583647252920714799519230291726445524515843457346833745000287566475840735628763302301072417339871760139384147868411664635626327593 (197 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=8003101948701876681760494839821084051570288474770423792837326072070153566017 (pp76)
r2=1644386728818635542092899767937859794116945326796590401897840368690266242250731039202058777433610274522510651455701124329 (pp121)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 51.39 hours.
Factorization parameters were as follows:
n: 13160194633827926546379940716921878558464535377999399509514217034659583647252920714799519230291726445524515843457346833745000287566475840735628763302301072417339871760139384147868411664635626327593
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1
c0: 719
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 67108864
lpbr: 29
lpba: 27
mfbr: 58
mfba: 54
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/67108864
Large primes per side: 3
Large prime bits: 29/27
Total raw relations: 0
Relations: 7228690 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 48.37 hours.
Total relation processing time: 0.36 hours.
Pruned matrix : 6780080 x 6780305
Matrix solve time: 1.59 hours.
time per square root: 1.06 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,67108864,29,27,58,54,2.8,2.8,100000
total time: 51.39 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.15063-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 10, 2014 19:47:32 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 32 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:25:08 UTC 2015 年 2 月 16 日 (月) 22 時 25 分 8 秒 (日本時間)
4511e61298 / 4342498CypMay 18, 2015 04:57:49 UTC 2015 年 5 月 18 日 (月) 13 時 57 分 49 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 08:08:29 UTC 2015 年 12 月 4 日 (金) 17 時 8 分 29 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 06:58:23 UTC 2015 年 12 月 10 日 (木) 15 時 58 分 23 秒 (日本時間)

10221+7199

c184

name 名前Erik Branger
date 日付September 5, 2019 06:48:46 UTC 2019 年 9 月 5 日 (木) 15 時 48 分 46 秒 (日本時間)
composite number 合成数
4618969691183675530735622964843680036301539993998440429190159106246734343538428734178419344942796572819768391803248442259049203212240861585525989866904232527784584046875876119149977107<184>
prime factors 素因数
219104495699099194567600421145729294919701884461<48>
21081126959288884753000782939405168240299326218355518235225575967320554218337546531544264861680657782893981054878551617667036308029089087<137>
factorization results 素因数分解の結果
Number: 11191_221
N = 4618969691183675530735622964843680036301539993998440429190159106246734343538428734178419344942796572819768391803248442259049203212240861585525989866904232527784584046875876119149977107 (184 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=219104495699099194567600421145729294919701884461 (pp48)
r2=21081126959288884753000782939405168240299326218355518235225575967320554218337546531544264861680657782893981054878551617667036308029089087 (pp137)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 90.00 hours.
Factorization parameters were as follows:
n: 4618969691183675530735622964843680036301539993998440429190159106246734343538428734178419344942796572819768391803248442259049203212240861585525989866904232527784584046875876119149977107
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 10
c0: 719
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 22369622
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/22369622
Large primes per side: 3
Large prime bits: 29/28
Relations: 8708786 relations
Pruned matrix : 7522431 x 7522656
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 38.59 hours.
Total relation processing time: 0.43 hours.
Matrix solve time: 50.51 hours.
time per square root: 0.47 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,22369622,29,28,58,56,2.8,2.8,100000
total time: 90.00 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS; NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 10, 2014 19:47:32 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 32 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:25:24 UTC 2015 年 2 月 16 日 (月) 22 時 25 分 24 秒 (日本時間)
4511e61298 / 4342498CypMay 31, 2015 18:52:17 UTC 2015 年 6 月 1 日 (月) 3 時 52 分 17 秒 (日本時間)
600Dmitry DomanovDecember 3, 2015 17:31:40 UTC 2015 年 12 月 4 日 (金) 2 時 31 分 40 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 06:58:38 UTC 2015 年 12 月 10 日 (木) 15 時 58 分 38 秒 (日本時間)

10222+7199

c198

name 名前Erik Branger
date 日付September 9, 2019 15:47:36 UTC 2019 年 9 月 10 日 (火) 0 時 47 分 36 秒 (日本時間)
composite number 合成数
991609114239313215882248578827719437447300198094130430301243264641255442089818584194463227379321764589709616075230718552899434404080250288175795057260546964040896144571736010844312655475633132040503<198>
prime factors 素因数
87537381442547962258594031270731330704881<41>
44510513291471391462890818070136208966714559963<47>
254497989694464643879899788078577951701890539501486464140591078363001380173732557838080724479005649375286993701<111>
factorization results 素因数分解の結果
Number: 11191_222
N = 991609114239313215882248578827719437447300198094130430301243264641255442089818584194463227379321764589709616075230718552899434404080250288175795057260546964040896144571736010844312655475633132040503 (198 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=87537381442547962258594031270731330704881 (pp41)
r2=44510513291471391462890818070136208966714559963 (pp47)
r3=254497989694464643879899788078577951701890539501486464140591078363001380173732557838080724479005649375286993701 (pp111)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 110.87 hours.
Factorization parameters were as follows:
n: 991609114239313215882248578827719437447300198094130430301243264641255442089818584194463227379321764589709616075230718552899434404080250288175795057260546964040896144571736010844312655475633132040503
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 100
c0: 719
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 22369622
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/22369622
Large primes per side: 3
Large prime bits: 29/28
Relations: 9364840 relations
Pruned matrix : 8015741 x 8015966
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 50.44 hours.
Total relation processing time: 0.43 hours.
Matrix solve time: 59.15 hours.
time per square root: 0.85 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,22369622,29,28,58,56,2.8,2.8,100000
total time: 110.87 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6580280CypDecember 8, 2014 14:17:50 UTC 2014 年 12 月 8 日 (月) 23 時 17 分 50 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:25:50 UTC 2015 年 2 月 16 日 (月) 22 時 25 分 50 秒 (日本時間)
4511e61335 / 4347335CypJanuary 7, 2015 08:47:16 UTC 2015 年 1 月 7 日 (水) 17 時 47 分 16 秒 (日本時間)
400Dmitry DomanovNovember 26, 2015 21:31:24 UTC 2015 年 11 月 27 日 (金) 6 時 31 分 24 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 08:08:44 UTC 2015 年 12 月 4 日 (金) 17 時 8 分 44 秒 (日本時間)

10223+7199

c210

name 名前Dmitry Domanov
date 日付December 6, 2014 22:22:36 UTC 2014 年 12 月 7 日 (日) 7 時 22 分 36 秒 (日本時間)
composite number 合成数
221562646185060390555784956561175889431563065246945346667198354309078187138728332339708803204812783986828104786220366193192630926018465164279522351255063896482427894168754111152526053965165253906779004605026789<210>
prime factors 素因数
6840850921799891758181208914368799<34>
32388170524079362537391320051332346329527515539787772372308989965375922041745063854998243290155456044538399905628708698766959713099333478331685576364431819597810954074117030011<176>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1649864881
Step 1 took 10870ms
Step 2 took 5457ms
********** Factor found in step 2: 6840850921799891758181208914368799
Found probable prime factor of 34 digits: 6840850921799891758181208914368799

ECM

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

10225+7199

c160

composite cofactor 合成数の残り
2967081115907769566959639292920621797987243062994013932391890506134372071719500213905039605382387018013632804169941704127488142398140616856070529082837648378167<160>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6580280CypDecember 6, 2014 23:15:05 UTC 2014 年 12 月 7 日 (日) 8 時 15 分 5 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:26:04 UTC 2015 年 2 月 16 日 (月) 22 時 26 分 4 秒 (日本時間)
4511e64402600Dmitry DomanovNovember 26, 2015 21:30:03 UTC 2015 年 11 月 27 日 (金) 6 時 30 分 3 秒 (日本時間)
600Dmitry DomanovDecember 2, 2015 20:18:21 UTC 2015 年 12 月 3 日 (木) 5 時 18 分 21 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 06:58:59 UTC 2015 年 12 月 10 日 (木) 15 時 58 分 59 秒 (日本時間)
3002Thomas KozlowskiOctober 27, 2024 16:05:31 UTC 2024 年 10 月 28 日 (月) 1 時 5 分 31 秒 (日本時間)

10226+7199

c210

composite cofactor 合成数の残り
225934286502823373318186600648176850239654720613833370628332229903109233142289930289791424432841358599213516842038247670752446795961637405886199227184757568403297153728208724037864317575953821731274369089896687<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 10, 2014 19:47:33 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 33 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:26:17 UTC 2015 年 2 月 16 日 (月) 22 時 26 分 17 秒 (日本時間)
4511e64403600Dmitry DomanovNovember 26, 2015 21:30:43 UTC 2015 年 11 月 27 日 (金) 6 時 30 分 43 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 08:09:10 UTC 2015 年 12 月 4 日 (金) 17 時 9 分 10 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 06:59:13 UTC 2015 年 12 月 10 日 (木) 15 時 59 分 13 秒 (日本時間)
3003Thomas KozlowskiOctober 27, 2024 17:05:13 UTC 2024 年 10 月 28 日 (月) 2 時 5 分 13 秒 (日本時間)

10227+7199

c222

name 名前Serge Batalov
date 日付December 9, 2014 01:52:55 UTC 2014 年 12 月 9 日 (火) 10 時 52 分 55 秒 (日本時間)
composite number 合成数
229156497847074702726733167882341887745397964631986122282490381156002869039353045375278138699261886920434572382517192466250976779572073155920372700128098482296514758824243840846229115249677462229280242355912123066205603793<222>
prime factors 素因数
372275972296326792087301868078902603<36>
615555434409473882177569651577752715288828172058297126968905077387506921951039257725315319508215033386312398429998837701997325272444484246335289338434350450668528490417141422841257867731<186>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2101154946
Step 1 took 18099ms
Step 2 took 12168ms
********** Factor found in step 2: 372275972296326792087301868078902603
Found probable prime factor of 36 digits: 372275972296326792087301868078902603
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:49 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 49 秒 (日本時間)

10228+7199

c187

composite cofactor 合成数の残り
2404063457930493447579524805133853316202541149294943793031675868690864539564335370896007151864244149857233164179469526343387819293509673576462151563326350526023620479573048171273019605603<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6580280CypDecember 7, 2014 04:44:29 UTC 2014 年 12 月 7 日 (日) 13 時 44 分 29 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:26:38 UTC 2015 年 2 月 16 日 (月) 22 時 26 分 38 秒 (日本時間)
4511e64504504CypJune 20, 2015 18:20:25 UTC 2015 年 6 月 21 日 (日) 3 時 20 分 25 秒 (日本時間)
600Dmitry DomanovDecember 3, 2015 17:32:09 UTC 2015 年 12 月 4 日 (金) 2 時 32 分 9 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 06:59:27 UTC 2015 年 12 月 10 日 (木) 15 時 59 分 27 秒 (日本時間)
3200Thomas KozlowskiOctober 27, 2024 18:00:56 UTC 2024 年 10 月 28 日 (月) 3 時 0 分 56 秒 (日本時間)

10229+7199

c212

name 名前Dmitry Domanov
date 日付November 27, 2015 07:20:11 UTC 2015 年 11 月 27 日 (金) 16 時 20 分 11 秒 (日本時間)
composite number 合成数
28454920844319562366306499305617497421533247313843956884209889541521248818209865208310496699306602379515654089913226673152883168009075296846844924736710704435860106376051783242459040413513409013144611007663704039<212>
prime factors 素因数
2884090033745186634315746575418171<34>
9866169402266862171789300418423724705427187010725808483747988746048305790861784357289798281038240891093737925222038062433361953280760267762727933796140716902857555027408735005509<178>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1893606484
Step 1 took 81066ms
Step 2 took 26602ms
********** Factor found in step 2: 2884090033745186634315746575418171
Found probable prime factor of 34 digits: 2884090033745186634315746575418171

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 10, 2014 19:47:33 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 33 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:26:52 UTC 2015 年 2 月 16 日 (月) 22 時 26 分 52 秒 (日本時間)
4511e6600 / 4342Dmitry DomanovNovember 26, 2015 21:31:49 UTC 2015 年 11 月 27 日 (金) 6 時 31 分 49 秒 (日本時間)

10230+7199

c156

name 名前ebina
date 日付June 26, 2023 11:36:47 UTC 2023 年 6 月 26 日 (月) 20 時 36 分 47 秒 (日本時間)
composite number 合成数
400975141258466170086303494794438533543929937587216577232710506436195084965645985770278592400232030407721309769314987211124969928958808851998401877021244807<156>
prime factors 素因数
517259171389663164934425548452960676027652699663910960579<57>
775191941365119700859415633159277147669816823489483552769482354382240540396017616761313449688068333<99>
factorization results 素因数分解の結果
Number: 11191_230
N = 400975141258466170086303494794438533543929937587216577232710506436195084965645985770278592400232030407721309769314987211124969928958808851998401877021244807 (156 digits)
Divisors found:
r1=517259171389663164934425548452960676027652699663910960579 (pp57)
r2=775191941365119700859415633159277147669816823489483552769482354382240540396017616761313449688068333 (pp99)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 334.62 hours.
Factorization parameters were as follows:
n: 400975141258466170086303494794438533543929937587216577232710506436195084965645985770278592400232030407721309769314987211124969928958808851998401877021244807
# norm 3.457183e-15 alpha -7.568827 e 2.032e-12 rroots 5
skew: 101169888.10
c0: 173934206232920693327975308209937624990425
c1: 29725391338523961211803497260048430
c2: 331631511333552269595558259
c3: -25424394901667746750
c4: -17649994532
c5: 168
Y0: -4737638988300343706346033677842
Y1: 171635148715346399
type: gnfs
Factor base limits: 28600000/28600000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [0, 0)
Total raw relations: 63901720
Relations: 6475218 relations
Pruned matrix : 4656895 x 4657121
Total sieving time: 325.28 hours.
Total relation processing time: 0.48 hours.
Matrix solve time: 7.84 hours.
time per square root: 1.02 hours.
Prototype def-par.txt line would be: gnfs,155,5,65,2000,1e-05,0.28,250,20,50000,3600,28600000,28600000,29,29,58,58,2.6,2.6,100000
total time: 334.62 hours.
Intel64 Family 6 Model 45 Stepping 6, GenuineIntel
processors: 12, speed: 3.30GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:29 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 29 秒 (日本時間)
4511e63968600Dmitry DomanovNovember 26, 2015 21:32:08 UTC 2015 年 11 月 27 日 (金) 6 時 32 分 8 秒 (日本時間)
600Dmitry DomanovDecember 3, 2015 17:32:33 UTC 2015 年 12 月 4 日 (金) 2 時 32 分 33 秒 (日本時間)
2768Ignacio SantosMarch 12, 2016 19:21:56 UTC 2016 年 3 月 13 日 (日) 4 時 21 分 56 秒 (日本時間)
5043e65000yoyo@HomeJuly 18, 2022 12:41:21 UTC 2022 年 7 月 18 日 (月) 21 時 41 分 21 秒 (日本時間)
5511e76000 / 15719yoyo@HomeDecember 8, 2022 14:40:30 UTC 2022 年 12 月 8 日 (木) 23 時 40 分 30 秒 (日本時間)

10231+7199

c195

name 名前Dmitry Domanov
date 日付November 27, 2015 19:43:08 UTC 2015 年 11 月 28 日 (土) 4 時 43 分 8 秒 (日本時間)
composite number 合成数
423553916981422984799640358552802997362796546312063037306485919203720557879658139662088847474279641465363495888425486650712203809022459690973634072265323722079068024403445862155771803379076813263<195>
prime factors 素因数
1467617963118929170899840558294740240323<40>
composite cofactor 合成数の残り
288599572658065154045384476799297993048115772538440824467562770582818719296477093047915053196867497740972839049830343046392310885945616342504855304174827781<156>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=500087462
Step 1 took 72507ms
Step 2 took 24223ms
********** Factor found in step 2: 1467617963118929170899840558294740240323
Found probable prime factor of 40 digits: 1467617963118929170899840558294740240323

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6580280CypDecember 9, 2014 15:22:14 UTC 2014 年 12 月 10 日 (水) 0 時 22 分 14 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:27:19 UTC 2015 年 2 月 16 日 (月) 22 時 27 分 19 秒 (日本時間)
4511e64435335CypJanuary 8, 2015 11:59:24 UTC 2015 年 1 月 8 日 (木) 20 時 59 分 24 秒 (日本時間)
400Dmitry DomanovNovember 27, 2015 17:54:40 UTC 2015 年 11 月 28 日 (土) 2 時 54 分 40 秒 (日本時間)
600Dmitry DomanovDecember 3, 2015 17:32:48 UTC 2015 年 12 月 4 日 (金) 2 時 32 分 48 秒 (日本時間)
3100Lionel DebrouxJanuary 3, 2018 15:38:17 UTC 2018 年 1 月 4 日 (木) 0 時 38 分 17 秒 (日本時間)
5043e65000yoyo@HomeJuly 20, 2022 02:14:51 UTC 2022 年 7 月 20 日 (水) 11 時 14 分 51 秒 (日本時間)
5511e75000 / 15703yoyo@HomeMay 1, 2024 00:55:10 UTC 2024 年 5 月 1 日 (水) 9 時 55 分 10 秒 (日本時間)

10234+7199

c212

composite cofactor 合成数の残り
50734922206446453448734622390219733445307543678423849029626650649046346486064609298662888179027278998896887612526526938384684277227790449388001568998384071810147211567120909428825712554600604392274758247531096479<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 10, 2014 19:47:34 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 34 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:27:41 UTC 2015 年 2 月 16 日 (月) 22 時 27 分 41 秒 (日本時間)
4511e64500498CypJune 10, 2015 20:34:54 UTC 2015 年 6 月 11 日 (木) 5 時 34 分 54 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 08:09:42 UTC 2015 年 12 月 4 日 (金) 17 時 9 分 42 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 07:25:34 UTC 2015 年 12 月 10 日 (木) 16 時 25 分 34 秒 (日本時間)
3202Thomas KozlowskiOctober 27, 2024 19:06:06 UTC 2024 年 10 月 28 日 (月) 4 時 6 分 6 秒 (日本時間)

10235+7199

c196

composite cofactor 合成数の残り
2018122287858615999055348509292551037477549614495886162222105900875535888490454489519380640998143784285128584527804894668632812163715212341519440767557593083233157927028040971341342693689521405871<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 10, 2014 19:47:34 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 34 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:28:12 UTC 2015 年 2 月 16 日 (月) 22 時 28 分 12 秒 (日本時間)
4511e64401600Dmitry DomanovNovember 27, 2015 19:28:09 UTC 2015 年 11 月 28 日 (土) 4 時 28 分 9 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 08:09:57 UTC 2015 年 12 月 4 日 (金) 17 時 9 分 57 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 07:25:49 UTC 2015 年 12 月 10 日 (木) 16 時 25 分 49 秒 (日本時間)
3001Thomas KozlowskiOctober 27, 2024 20:05:31 UTC 2024 年 10 月 28 日 (月) 5 時 5 分 31 秒 (日本時間)

10236+7199

c219

name 名前Dmitry Domanov
date 日付December 7, 2014 11:46:54 UTC 2014 年 12 月 7 日 (日) 20 時 46 分 54 秒 (日本時間)
composite number 合成数
201262228216062265505742648864464419409423521286138451648962295499792977235381135050364158002828765091136293450083103444773450477412305515081067019548944271036437811364269010648602925178635774559055909031970764617376703<219>
prime factors 素因数
97213419839252637541975432720731449<35>
composite cofactor 合成数の残り
2070313219603421575117650112298466263371021556872267024372892677321924515650744976916702899031442995679519578979123838913634305084073345485367372594061789033868567768759966213499531447<184>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=687853905
Step 1 took 8342ms
Step 2 took 4031ms
********** Factor found in step 2: 97213419839252637541975432720731449
Found probable prime factor of 35 digits: 97213419839252637541975432720731449

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 10, 2014 19:47:35 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 35 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:28:33 UTC 2015 年 2 月 16 日 (月) 22 時 28 分 33 秒 (日本時間)
4511e64401600Dmitry DomanovNovember 19, 2015 23:03:59 UTC 2015 年 11 月 20 日 (金) 8 時 3 分 59 秒 (日本時間)
600Dmitry DomanovDecember 3, 2015 17:33:09 UTC 2015 年 12 月 4 日 (金) 2 時 33 分 9 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 07:26:05 UTC 2015 年 12 月 10 日 (木) 16 時 26 分 5 秒 (日本時間)
3001Thomas KozlowskiOctober 27, 2024 20:57:42 UTC 2024 年 10 月 28 日 (月) 5 時 57 分 42 秒 (日本時間)

10237+7199

c189

composite cofactor 合成数の残り
152058904341376158296693663088357845209779921313440350259769717717601897609462776044551998625534639301622536845151127917322988774696052187131423750402579260793273609318151375245281203953533<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6580280CypDecember 10, 2014 03:03:49 UTC 2014 年 12 月 10 日 (水) 12 時 3 分 49 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:28:48 UTC 2015 年 2 月 16 日 (月) 22 時 28 分 48 秒 (日本時間)
4511e64513335CypJanuary 6, 2015 14:41:17 UTC 2015 年 1 月 6 日 (火) 23 時 41 分 17 秒 (日本時間)
169CypMay 22, 2015 01:27:31 UTC 2015 年 5 月 22 日 (金) 10 時 27 分 31 秒 (日本時間)
600Dmitry DomanovDecember 3, 2015 17:33:26 UTC 2015 年 12 月 4 日 (金) 2 時 33 分 26 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 07:26:19 UTC 2015 年 12 月 10 日 (木) 16 時 26 分 19 秒 (日本時間)
3209Thomas KozlowskiOctober 27, 2024 21:53:15 UTC 2024 年 10 月 28 日 (月) 6 時 53 分 15 秒 (日本時間)

10239+7199

c218

name 名前Cyp
date 日付January 8, 2015 15:13:34 UTC 2015 年 1 月 9 日 (金) 0 時 13 分 34 秒 (日本時間)
composite number 合成数
12771412119899240817632324800270901704106898504752134882927685728558280177910639581448730826876023575037519902909299115171749074479555800834086506609447707230250798928410017743090483556537898896899847892729319742117207<218>
prime factors 素因数
74285662572570319732402298479071993659<38>
composite cofactor 合成数の残り
171922975142380072900392459110217138904594160606423673747420080404014050298924409368194901566619500790781091307699551167404751253182533992744809145779247406272839480880129398093973<180>
factorization results 素因数分解の結果
Run 33 out of 335:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2654775064
Step 1 took 80385ms
Step 2 took 23087ms
********** Factor found in step 2: 74285662572570319732402298479071993659
Found probable prime factor of 38 digits: 74285662572570319732402298479071993659
Composite cofactor 171922975142380072900392459110217138904594160606423673747420080404014050298924409368194901566619500790781091307699551167404751253182533992744809145779247406272839480880129398093973 has 180 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6580280CypDecember 7, 2014 07:01:04 UTC 2014 年 12 月 7 日 (日) 16 時 1 分 4 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:29:02 UTC 2015 年 2 月 16 日 (月) 22 時 29 分 2 秒 (日本時間)
4511e64536335CypJanuary 8, 2015 15:13:33 UTC 2015 年 1 月 9 日 (金) 0 時 13 分 33 秒 (日本時間)
400Dmitry DomanovNovember 29, 2015 21:09:18 UTC 2015 年 11 月 30 日 (月) 6 時 9 分 18 秒 (日本時間)
600Dmitry DomanovDecember 3, 2015 17:33:51 UTC 2015 年 12 月 4 日 (金) 2 時 33 分 51 秒 (日本時間)
3201Thomas KozlowskiOctober 27, 2024 22:48:39 UTC 2024 年 10 月 28 日 (月) 7 時 48 分 39 秒 (日本時間)

10240+7199

c233

name 名前Dmitry Domanov
date 日付November 28, 2015 09:20:40 UTC 2015 年 11 月 28 日 (土) 18 時 20 分 40 秒 (日本時間)
composite number 合成数
54812814512503871840185126992247111076907914855308695082835591867948913799120572241398485379421701785510988900459874032478456234351969196952254037224149714844554420875482332212904591883241689048109152484810135810258645775968297145091<233>
prime factors 素因数
3166509526370262362367062736036161558227<40>
composite cofactor 合成数の残り
17310168832915289904969390726241766904441907373542554847221421767583439528038374226407920099795548301073434319060477073169675177423743791166498100012896919147810669192712322503571359895534146833<194>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2170243576
Step 1 took 161205ms
Step 2 took 49217ms
********** Factor found in step 2: 3166509526370262362367062736036161558227
Found probable prime factor of 40 digits: 3166509526370262362367062736036161558227

c194

name 名前Thomas Kozlowski
date 日付October 27, 2024 23:35:45 UTC 2024 年 10 月 28 日 (月) 8 時 35 分 45 秒 (日本時間)
composite number 合成数
17310168832915289904969390726241766904441907373542554847221421767583439528038374226407920099795548301073434319060477073169675177423743791166498100012896919147810669192712322503571359895534146833<194>
prime factors 素因数
4868285506901168379178987043360316297292517<43>
composite cofactor 合成数の残り
3555701243975275672357307217423838573509173929990227524629663726755623484700783660794697533053365347117560563764784145007515820491210491773826878415549<151>
factorization results 素因数分解の結果
GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 17310168832915289904969390726241766904441907373542554847221421767583439528038374226407920099795548301073434319060477073169675177423743791166498100012896919147810669192712322503571359895534146833 (194 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2949229402
Step 1 took 33954ms
Step 2 took 13422ms
Run 2 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1926487803
Step 1 took 32772ms
Step 2 took 13206ms
Run 3 out of 0:
...
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3484430091
Step 1 took 32935ms
Step 2 took 13184ms
Run 21 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2349633127
Step 1 took 34192ms
Step 2 took 13170ms
** Factor found in step 2: 4868285506901168379178987043360316297292517
Found prime factor of 43 digits: 4868285506901168379178987043360316297292517
Composite cofactor 3555701243975275672357307217423838573509173929990227524629663726755623484700783660794697533053365347117560563764784145007515820491210491773826878415549 has 151 digits
execution environment 実行環境
2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6580280CypDecember 7, 2014 13:42:55 UTC 2014 年 12 月 7 日 (日) 22 時 42 分 55 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:29:15 UTC 2015 年 2 月 16 日 (月) 22 時 29 分 15 秒 (日本時間)
4511e61400 / 4347600Dmitry DomanovNovember 27, 2015 20:19:04 UTC 2015 年 11 月 28 日 (土) 5 時 19 分 4 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 08:10:28 UTC 2015 年 12 月 4 日 (金) 17 時 10 分 28 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 07:26:42 UTC 2015 年 12 月 10 日 (木) 16 時 26 分 42 秒 (日本時間)

10241+7199

c235

name 名前Dmitry Domanov
date 日付December 7, 2014 11:47:31 UTC 2014 年 12 月 7 日 (日) 20 時 47 分 31 秒 (日本時間)
composite number 合成数
4498443763380058668703562002725157231855639541500617861250900251058146434241074300345795372091025109863242811149482836412743011555152494994356702298839716400111381467581290252637100195187474893060745635047555298244572290216199705711809<235>
prime factors 素因数
285190323766611891305293517148311<33>
15773479632715032953633437454587444809517195818462774508564379519288643476826307866151102974795269043354231361590723661933205428998560433562519337376875046948932968195275910795655561594053551377277474919<203>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=875532865
Step 1 took 8646ms
Step 2 took 3756ms
********** Factor found in step 2: 285190323766611891305293517148311
Found probable prime factor of 33 digits: 285190323766611891305293517148311

ECM

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

10242+7199

c240

composite cofactor 合成数の残り
122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122101<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:56 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 56 秒 (日本時間)
4511e630001000Serge BatalovDecember 18, 2014 00:19:01 UTC 2014 年 12 月 18 日 (木) 9 時 19 分 1 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 01:48:51 UTC 2014 年 12 月 18 日 (木) 10 時 48 分 51 秒 (日本時間)
1000Serge BatalovDecember 21, 2014 10:24:57 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 57 秒 (日本時間)
5043e61000 / 6792Serge BatalovJanuary 11, 2015 21:31:16 UTC 2015 年 1 月 12 日 (月) 6 時 31 分 16 秒 (日本時間)

10243+7199

c173

name 名前Cyp
date 日付December 9, 2014 13:31:56 UTC 2014 年 12 月 9 日 (火) 22 時 31 分 56 秒 (日本時間)
composite number 合成数
34061801710850720045341092120656866789100378426154598758861608894700795835063048841105236769633173687298623919076028956459962560418319431626189646138205472653114474660202891<173>
prime factors 素因数
14136207817837992944489574491702963<35>
composite cofactor 合成数の残り
2409543079005198806047734417919337114710349471881864385089417450457544531884090536520067603476942358607120313799145550375777312197454618057<139>
factorization results 素因数分解の結果
Run 109 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2391166889
Step 1 took 13429ms
Step 2 took 5031ms
********** Factor found in step 2: 14136207817837992944489574491702963
Found probable prime factor of 35 digits: 14136207817837992944489574491702963
Composite cofactor 2409543079005198806047734417919337114710349471881864385089417450457544531884090536520067603476942358607120313799145550375777312197454618057 has 139 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

c139

name 名前Erik Branger
date 日付February 23, 2015 17:54:55 UTC 2015 年 2 月 24 日 (火) 2 時 54 分 55 秒 (日本時間)
composite number 合成数
2409543079005198806047734417919337114710349471881864385089417450457544531884090536520067603476942358607120313799145550375777312197454618057<139>
prime factors 素因数
1107747017698237680514588428368294917672277180886822676931974430567<67>
2175174512328576191367869281862815145873765587835204902032139227406363471<73>
factorization results 素因数分解の結果
Number: 11191_243
N = 2409543079005198806047734417919337114710349471881864385089417450457544531884090536520067603476942358607120313799145550375777312197454618057 (139 digits)
Divisors found:
r1=1107747017698237680514588428368294917672277180886822676931974430567 (pp67)
r2=2175174512328576191367869281862815145873765587835204902032139227406363471 (pp73)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 153.55 hours.
Factorization parameters were as follows:
# Murphy_E = 2.638e-11, selected by Erik Branger
# expecting poly E from 2.58e-011 to > 2.96e-011
n: 2409543079005198806047734417919337114710349471881864385089417450457544531884090536520067603476942358607120313799145550375777312197454618057
Y0: -807457375712263294468773951
Y1: 218527380093817
c0: -12881149902894352487278723556698720
c1: -54780085512551228077866407716
c2: -2760911507399107301603
c3: 7623573010966573
c4: -26675853135
c5: 7020
skew: 1598691.2
type: gnfs
# selected mechanically
rlim: 16500000
alim: 16500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16500000/16500000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22931295
Relations: 3881416 relations
Pruned matrix : 2361647 x 2361875
Polynomial selection time: 0.00 hours.
Total sieving time: 149.45 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 3.76 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: gnfs,138,5,65,2000,1e-05,0.28,250,20,50000,3600,16500000,16500000,28,28,55,55,2.6,2.6,100000
total time: 153.55 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 9, 2014 13:31:55 UTC 2014 年 12 月 9 日 (火) 22 時 31 分 55 秒 (日本時間)
4511e61147 / 44131000Serge BatalovDecember 18, 2014 00:18:26 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 26 秒 (日本時間)
147Alfred ReichFebruary 16, 2015 15:02:06 UTC 2015 年 2 月 17 日 (火) 0 時 2 分 6 秒 (日本時間)

10244+7199

c186

composite cofactor 合成数の残り
189311203008805659661269775445367778859219978772079246531392571542243724886637382159042606779442080637709316615333612583964699447198013556739967657491686698493546808492440688893228638337<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 10, 2014 19:47:35 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 35 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:30:30 UTC 2015 年 2 月 16 日 (月) 22 時 30 分 30 秒 (日本時間)
4511e64501329CypJanuary 2, 2015 06:25:46 UTC 2015 年 1 月 2 日 (金) 15 時 25 分 46 秒 (日本時間)
169CypJune 11, 2015 10:35:30 UTC 2015 年 6 月 11 日 (木) 19 時 35 分 30 秒 (日本時間)
600Dmitry DomanovDecember 3, 2015 17:34:15 UTC 2015 年 12 月 4 日 (金) 2 時 34 分 15 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 07:27:04 UTC 2015 年 12 月 10 日 (木) 16 時 27 分 4 秒 (日本時間)
3203Thomas KozlowskiOctober 28, 2024 00:00:28 UTC 2024 年 10 月 28 日 (月) 9 時 0 分 28 秒 (日本時間)

10245+7199

c209

name 名前Dmitry Domanov
date 日付December 4, 2015 12:21:56 UTC 2015 年 12 月 4 日 (金) 21 時 21 分 56 秒 (日本時間)
composite number 合成数
28688469122006802085229000088096273223839954176251931587611243810579871660106905840296684692665277864024240205163836216823393607078113935101507436046534406000036170766419268911401017858409441926859086681706413<209>
prime factors 素因数
5927874972763918450464565497414550804913<40>
composite cofactor 合成数の残り
4839587416033266493375200806247615217027018606798930876755740364601339436622722148492213192672136583077636143670100437162624011443969542377233326966429252085257690765501<169>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2232490529
Step 1 took 72231ms
Step 2 took 22677ms
********** Factor found in step 2: 5927874972763918450464565497414550804913
Found probable prime factor of 40 digits: 5927874972763918450464565497414550804913

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:47:35 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 35 秒 (日本時間)
4511e61385585CypFebruary 3, 2015 00:51:01 UTC 2015 年 2 月 3 日 (火) 9 時 51 分 1 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 08:10:56 UTC 2015 年 12 月 4 日 (金) 17 時 10 分 56 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 07:27:23 UTC 2015 年 12 月 10 日 (木) 16 時 27 分 23 秒 (日本時間)
5043e6600 / 6916Dmitry DomanovFebruary 10, 2016 13:36:46 UTC 2016 年 2 月 10 日 (水) 22 時 36 分 46 秒 (日本時間)
5511e7120 / 17455Dmitry DomanovFebruary 28, 2016 19:24:37 UTC 2016 年 2 月 29 日 (月) 4 時 24 分 37 秒 (日本時間)
6026e75 / 41880Dmitry DomanovFebruary 28, 2016 19:25:02 UTC 2016 年 2 月 29 日 (月) 4 時 25 分 2 秒 (日本時間)

10246+7199

c225

name 名前Cyp
date 日付February 2, 2015 03:37:18 UTC 2015 年 2 月 2 日 (月) 12 時 37 分 18 秒 (日本時間)
composite number 合成数
127123772778207561166173241912418957824961880057998817580293473304169548968483086259509599462342620527328054072014054544690214363875106701373544210779848937248487691464595369853700860566809912000747762628128310953196064482141<225>
prime factors 素因数
1050335354617076565512509256263408261759<40>
composite cofactor 合成数の残り
121031604067591725194536196600216383482964836217611243639816826229541890045412215734210867667075612148412961902316906618048944480675447898072850080990521916834751906864651929163828952099<186>
factorization results 素因数分解の結果
Run 471 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1442170143
Step 1 took 79853ms
********** Factor found in step 1: 1050335354617076565512509256263408261759
Found probable prime factor of 40 digits: 1050335354617076565512509256263408261759
Composite cofactor 121031604067591725194536196600216383482964836217611243639816826229541890045412215734210867667075612148412961902316906618048944480675447898072850080990521916834751906864651929163828952099 has 186 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:47:36 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 36 秒 (日本時間)
4511e64592585CypFebruary 2, 2015 03:37:17 UTC 2015 年 2 月 2 日 (月) 12 時 37 分 17 秒 (日本時間)
600Dmitry DomanovDecember 3, 2015 17:34:41 UTC 2015 年 12 月 4 日 (金) 2 時 34 分 41 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 07:27:38 UTC 2015 年 12 月 10 日 (木) 16 時 27 分 38 秒 (日本時間)
3207Thomas KozlowskiOctober 28, 2024 00:56:07 UTC 2024 年 10 月 28 日 (月) 9 時 56 分 7 秒 (日本時間)

10248+7199

c238

name 名前Thomas Kozlowski
date 日付October 28, 2024 02:17:53 UTC 2024 年 10 月 28 日 (月) 11 時 17 分 53 秒 (日本時間)
composite number 合成数
3774030857821584588854680518411057946402575503031974853237177823350808123118843683232897131492145591274044474053165751904179032491533308698263880224067854723451446433747544915700880631050775380883873498819591896372576469566183781460159089<238>
prime factors 素因数
19503061305622510942107515070519808921599874005083<50>
composite cofactor 合成数の残り
193509664902379934607368063236905406484250819391777747218607977719812544469627697652350821732076282766635306412979775820529522503485835956579763434424205483158018018608149383384656094888483<189>
factorization results 素因数分解の結果
GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 3774030857821584588854680518411057946402575503031974853237177823350808123118843683232897131492145591274044474053165751904179032491533308698263880224067854723451446433747544915700880631050775380883873498819591896372576469566183781460159089 (238 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2318058245
Step 1 took 44109ms
Step 2 took 16277ms
Run 2 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1846686314
Step 1 took 43790ms
Step 2 took 16182ms
Run 3 out of 0:
...
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2422806562
Step 1 took 44092ms
Step 2 took 15916ms
Run 77 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:596515596
Step 1 took 43644ms
Step 2 took 15873ms
** Factor found in step 2: 19503061305622510942107515070519808921599874005083
Found prime factor of 50 digits: 19503061305622510942107515070519808921599874005083
Composite cofactor 193509664902379934607368063236905406484250819391777747218607977719812544469627697652350821732076282766635306412979775820529522503485835956579763434424205483158018018608149383384656094888483 has 189 digits
execution environment 実行環境
2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6880280CypDecember 10, 2014 14:44:54 UTC 2014 年 12 月 10 日 (水) 23 時 44 分 54 秒 (日本時間)
300Serge BatalovDecember 10, 2014 19:47:36 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 36 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:31:37 UTC 2015 年 2 月 16 日 (月) 22 時 31 分 37 秒 (日本時間)
4511e61217 / 4281417CypJune 20, 2015 06:56:09 UTC 2015 年 6 月 20 日 (土) 15 時 56 分 9 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 08:11:17 UTC 2015 年 12 月 4 日 (金) 17 時 11 分 17 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 07:27:54 UTC 2015 年 12 月 10 日 (木) 16 時 27 分 54 秒 (日本時間)

10249+7199

c227

name 名前Dmitry Domanov
date 日付November 28, 2015 12:31:59 UTC 2015 年 11 月 28 日 (土) 21 時 31 分 59 秒 (日本時間)
composite number 合成数
51886622265090348623856145619123216598061426057779270391070776003225899124226035790203062258487098647119569222749901289164090032962022025682622237390163253768080196892770932948982144498518236037970773926228391914553869492951231<227>
prime factors 素因数
1955669360166352878854252761727827213<37>
composite cofactor 合成数の残り
26531387831671492709820284717561434524705514933498098928497682629069627815231306834422797871927489337799529689930743579680073227132607260585496936134270099398762075652293754629968538123284987<191>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3822866213
Step 1 took 138768ms
Step 2 took 45091ms
********** Factor found in step 2: 1955669360166352878854252761727827213
Found probable prime factor of 37 digits: 1955669360166352878854252761727827213

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 10, 2014 19:47:37 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 37 秒 (日本時間)
300Alfred ReichFebruary 16, 2015 13:31:53 UTC 2015 年 2 月 16 日 (月) 22 時 31 分 53 秒 (日本時間)
4511e64400600Dmitry DomanovNovember 27, 2015 20:18:42 UTC 2015 年 11 月 28 日 (土) 5 時 18 分 42 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 08:11:39 UTC 2015 年 12 月 4 日 (金) 17 時 11 分 39 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 07:28:12 UTC 2015 年 12 月 10 日 (木) 16 時 28 分 12 秒 (日本時間)
3000Thomas KozlowskiOctober 28, 2024 03:06:26 UTC 2024 年 10 月 28 日 (月) 12 時 6 分 26 秒 (日本時間)

10251+7199

c251

name 名前Mehrshad Alipour
date 日付October 5, 2024 03:05:21 UTC 2024 年 10 月 5 日 (土) 12 時 5 分 21 秒 (日本時間)
composite number 合成数
11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111191<251>
prime factors 素因数
214103591740912112099214703078349720078563308156875659769<57>
51895958497308748508832333522507096216726260757666760449205450656920510537474580796202230190031577515873307673218924601221379086169292406444599758062081704191442145518534780247605540461673885839<194>
factorization results 素因数分解の結果
>> nfs: checking for job file - job file found, testing for matching input
nfs: number in job file matches input
nfs: checking for data file
nfs: previous data file found
nfs: user specified post processing only, skipping search for last special-q
nfs: commencing nfs on c251: 11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111191
nfs: resumesieve; last_spq = 0, nfs_phases = 28
nfs: resuming with filtering
nfs: found 0 relations, need at least 0, proceeding with filtering ...
Elapsed time is now 0.0003 seconds.
nfs: commencing msieve filtering
11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111191

commencing relation filtering
estimated available RAM is 64038.1 MB
commencing duplicate removal, pass 1
read 10M relations
read 20M relations
read 30M relations
read 40M relations
read 50M relations
read 60M relations
read 70M relations
read 80M relations
read 90M relations
read 100M relations
read 110M relations
read 120M relations
read 130M relations
read 140M relations
read 150M relations
read 160M relations
read 170M relations
skipped 4 relations with b > 2^32
skipped 1 relations with composite factors
found 6774810 hash collisions in 175184619 relations
commencing duplicate removal, pass 2
found 0 duplicates and 175184619 unique relations
memory use: 522.4 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 5512.0 MB
reading all ideals from disk
memory use: 6837.3 MB
keeping 168160604 ideals with weight <= 200, target excess is 964910
commencing in-memory singleton removal
begin with 175184619 relations and 168160604 unique ideals
reduce to 100401152 relations and 84306481 ideals in 16 passes
max relations containing the same ideal: 143
removing 11606414 relations and 9606414 ideals in 2000000 cliques
checking relations array at location 1
commencing in-memory singleton removal
begin with 88794738 relations and 84306481 unique ideals
reduce to 87797906 relations and 73678591 ideals in 9 passes
max relations containing the same ideal: 132
removing 8802224 relations and 6802225 ideals in 2000000 cliques
checking relations array at location 1
commencing in-memory singleton removal
begin with 78995682 relations and 73678591 unique ideals
reduce to 78317262 relations and 66182883 ideals in 8 passes
max relations containing the same ideal: 121
removing 7985621 relations and 5985621 ideals in 2000000 cliques
checking relations array at location 1
commencing in-memory singleton removal
begin with 70331641 relations and 66182883 unique ideals
reduce to 69709485 relations and 59560627 ideals in 8 passes
max relations containing the same ideal: 114
removing 7585271 relations and 5585271 ideals in 2000000 cliques
checking relations array at location 1
commencing in-memory singleton removal
begin with 62124214 relations and 59560627 unique ideals
reduce to 61505321 relations and 53340793 ideals in 9 passes
max relations containing the same ideal: 104
removing 7352220 relations and 5352220 ideals in 2000000 cliques
checking relations array at location 1
commencing in-memory singleton removal
begin with 54153101 relations and 53340793 unique ideals
reduce to 53504665 relations and 47321591 ideals in 8 passes
max relations containing the same ideal: 94
removing 7223190 relations and 5223190 ideals in 2000000 cliques
checking relations array at location 1
commencing in-memory singleton removal
begin with 46281475 relations and 47321591 unique ideals
reduce to 45568202 relations and 41362512 ideals in 10 passes
max relations containing the same ideal: 85
removing 7168139 relations and 5168139 ideals in 2000000 cliques
checking relations array at location 1
commencing in-memory singleton removal
begin with 38400063 relations and 41362512 unique ideals
reduce to 37569651 relations and 35333085 ideals in 9 passes
max relations containing the same ideal: 74
removing 4548741 relations and 3431471 ideals in 1117270 cliques
checking relations array at location 1
commencing in-memory singleton removal
begin with 33020910 relations and 35333085 unique ideals
reduce to 32615014 relations and 31484989 ideals in 8 passes
max relations containing the same ideal: 67
removing 88904 relations and 78175 ideals in 10729 cliques
checking relations array at location 1
commencing in-memory singleton removal
begin with 32526110 relations and 31484989 unique ideals
reduce to 32525998 relations and 31406702 ideals in 4 passes
max relations containing the same ideal: 67
relations with 0 large ideals: 38261
relations with 1 large ideals: 57836
relations with 2 large ideals: 456192
relations with 3 large ideals: 1995509
relations with 4 large ideals: 5142497
relations with 5 large ideals: 8187714
relations with 6 large ideals: 8241799
relations with 7+ large ideals: 8406190
commencing 2-way merge
reduce to 20290572 relation sets and 19171276 unique ideals
commencing full merge
memory use: 2299.9 MB
found 9971223 cycles, need 9823476
weight of 9823476 cycles is about 884613840 (90.05/cycle)
distribution of cycle lengths:
1 relations: 828413
2 relations: 877077
3 relations: 931237
4 relations: 925857
5 relations: 911292
6 relations: 871086
7 relations: 807594
8 relations: 720481
9 relations: 629951
10+ relations: 2320488
heaviest cycle: 23 relations
commencing cycle optimization
start with 65192008 relations
pruned 2036598 relations
memory use: 1999.6 MB
distribution of cycle lengths:
1 relations: 828413
2 relations: 896924
3 relations: 966513
4 relations: 956863
5 relations: 946414
6 relations: 898689
7 relations: 832121
8 relations: 735955
9 relations: 638104
10+ relations: 2123480
heaviest cycle: 22 relations
RelProcTime: 1601
Elapsed time is now 1601.1833 seconds.
nfs: commencing msieve linear algebra

commencing linear algebra
read 9823476 cycles
cycles contain 31819693 unique relations
read 31819693 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 4097.8 MB
read 9823476 cycles
matrix is 9823296 x 9823476 (3655.1 MB) with weight 1090716444 (111.03/col)
sparse part has weight 850097771 (86.54/col)
filtering completed in 2 passes
matrix is 9820223 x 9820403 (3654.8 MB) with weight 1090594182 (111.05/col)
sparse part has weight 850051954 (86.56/col)
matrix starts at (0, 0)
matrix is 9820223 x 9820403 (3654.8 MB) with weight 1090594182 (111.05/col)
sparse part has weight 850051954 (86.56/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 9820175 x 9820403 (3507.6 MB) with weight 905167099 (92.17/col)
sparse part has weight 821297654 (83.63/col)
using block size 8192 and superblock size 3538944 for processor cache size 36864 kB
commencing Lanczos iteration (32 threads)
memory use: 3392.2 MB
VBITS = 64
linear algebra at 0.0%, ETA 10h47m820403 dimensions (0.0%, ETA 10h47m)    
checkpointing every 910000 dimensions403 dimensions (0.0%, ETA 10h47m)    
linear algebra completed 9820007 of 9820403 dimensions (100.0%, ETA 0h 0m)    
lanczos halted after 155288 iterations (dim = 9820174)
recovered 36 nontrivial dependencies
BLanczosTime: 50266
Elapsed time is now 51867.0407 seconds.
nfs: commencing msieve sqrt

commencing square root phase
reading relations for dependency 1
read 4909032 cycles
cycles contain 15904374 unique relations
read 15904374 relations
multiplying 15904374 relations
multiply complete, coefficients have about 414.70 million bits
initial square root is modulo 27605113
Newton iteration failed to converge
algebraic square root failed
reading relations for dependency 2
read 4910038 cycles
cycles contain 15904520 unique relations
read 15904520 relations
multiplying 15904520 relations
multiply complete, coefficients have about 414.69 million bits
initial square root is modulo 27601681
Newton iteration failed to converge
algebraic square root failed
reading relations for dependency 3
read 4910538 cycles
cycles contain 15912508 unique relations
read 15912508 relations
multiplying 15912508 relations
multiply complete, coefficients have about 414.91 million bits
initial square root is modulo 27853849
Newton iteration failed to converge
algebraic square root failed
reading relations for dependency 4
read 4910938 cycles
cycles contain 15912564 unique relations
read 15912564 relations
multiplying 15912564 relations
multiply complete, coefficients have about 414.91 million bits
initial square root is modulo 27847543
sqrtTime: 2072
NFS elapsed time = 53941.2584 seconds.


***factors found***

C1 = 9
P194 = 51895958497308748508832333522507096216726260757666760449205450656920510537474580796202230190031577515873307673218924601221379086169292406444599758062081704191442145518534780247605540461673885839
P57 = 214103591740912112099214703078349720078563308156875659769

ans = 1
software ソフトウェア
yafu 2.11
execution environment 実行環境
Ubuntu 24.04.1 LTS x86_64, Intel i9-14900K (32) @ 5.700GHz , 64GB DDR5

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovOctober 29, 2015 07:29:56 UTC 2015 年 10 月 29 日 (木) 16 時 29 分 56 秒 (日本時間)
4511e62248600Dmitry DomanovDecember 1, 2015 08:14:49 UTC 2015 年 12 月 1 日 (火) 17 時 14 分 49 秒 (日本時間)
1200Dmitry DomanovDecember 4, 2015 08:12:03 UTC 2015 年 12 月 4 日 (金) 17 時 12 分 3 秒 (日本時間)
448Ignacio SantosFebruary 18, 2016 21:47:10 UTC 2016 年 2 月 19 日 (金) 6 時 47 分 10 秒 (日本時間)
5043e67050600Dmitry DomanovFebruary 9, 2016 15:44:23 UTC 2016 年 2 月 10 日 (水) 0 時 44 分 23 秒 (日本時間)
2000Dmitry DomanovJanuary 7, 2017 14:09:36 UTC 2017 年 1 月 7 日 (土) 23 時 9 分 36 秒 (日本時間)
2200Dmitry DomanovJanuary 26, 2017 14:04:09 UTC 2017 年 1 月 26 日 (木) 23 時 4 分 9 秒 (日本時間)
2250Dmitry DomanovFebruary 7, 2017 14:12:09 UTC 2017 年 2 月 7 日 (火) 23 時 12 分 9 秒 (日本時間)
5511e710000yoyo@HomeSeptember 10, 2022 00:07:36 UTC 2022 年 9 月 10 日 (土) 9 時 7 分 36 秒 (日本時間)
6026e76000 / 37377yoyo@HomeOctober 12, 2022 00:05:54 UTC 2022 年 10 月 12 日 (水) 9 時 5 分 54 秒 (日本時間)

10252+7199

c194

name 名前Dmitry Domanov
date 日付November 19, 2015 16:30:14 UTC 2015 年 11 月 20 日 (金) 1 時 30 分 14 秒 (日本時間)
composite number 合成数
59060940941311175996612806169904735677288118043987708293243591135032022961652810949295486763514513284696226831125502843191403182800655709821780975632799167131519172300579978114943855179368902651<194>
prime factors 素因数
20653179239939703202332921716556481<35>
2859653724744588231184674373710347576911674915259573762215220093570865483337400437066505280874382152055667330676390405900336046706499852857605691870012306992571<160>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=862409989
Step 1 took 21627ms
Step 2 took 7820ms
********** Factor found in step 2: 20653179239939703202332921716556481
Found probable prime factor of 35 digits: 20653179239939703202332921716556481

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 19, 2015 15:53:13 UTC 2015 年 11 月 20 日 (金) 0 時 53 分 13 秒 (日本時間)

10253+7199

c252

name 名前Dmitry Domanov
date 日付December 1, 2015 19:00:42 UTC 2015 年 12 月 2 日 (水) 4 時 0 分 42 秒 (日本時間)
composite number 合成数
123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456799<252>
prime factors 素因数
769711847667477591742711792304476325864563<42>
composite cofactor 合成数の残り
160393516739515264131072690663544216709944824261019088036543623773518195392548634361047989932155736249754183810739121683141562214589841327112952956161111451266552540220742432032281270900493995838660071368599973<210>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=130405770
Step 1 took 123725ms
Step 2 took 32226ms
********** Factor found in step 2: 769711847667477591742711792304476325864563
Found probable prime factor of 42 digits: 769711847667477591742711792304476325864563

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovOctober 29, 2015 07:30:10 UTC 2015 年 10 月 29 日 (木) 16 時 30 分 10 秒 (日本時間)
4511e64402600Dmitry DomanovDecember 1, 2015 09:44:21 UTC 2015 年 12 月 1 日 (火) 18 時 44 分 21 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 08:12:23 UTC 2015 年 12 月 4 日 (金) 17 時 12 分 23 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 11:04:53 UTC 2015 年 12 月 10 日 (木) 20 時 4 分 53 秒 (日本時間)
3002Thomas KozlowskiOctober 28, 2024 04:06:18 UTC 2024 年 10 月 28 日 (月) 13 時 6 分 18 秒 (日本時間)

10254+7199

c216

composite cofactor 合成数の残り
394438296063242794622562958132670852376804420816816174859420586923440867911588066012317021707935349083154988884100711106421277247348307444052980759634330794986798490701382611291173240102903709168609666325234726309167<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 19, 2015 16:30:38 UTC 2015 年 11 月 20 日 (金) 1 時 30 分 38 秒 (日本時間)
4511e64401600Dmitry DomanovNovember 30, 2015 19:05:30 UTC 2015 年 12 月 1 日 (火) 4 時 5 分 30 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 08:12:39 UTC 2015 年 12 月 4 日 (金) 17 時 12 分 39 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 11:05:30 UTC 2015 年 12 月 10 日 (木) 20 時 5 分 30 秒 (日本時間)
3001Thomas KozlowskiOctober 28, 2024 05:14:08 UTC 2024 年 10 月 28 日 (月) 14 時 14 分 8 秒 (日本時間)

10256+7199

c235

name 名前Dmitry Domanov
date 日付November 20, 2015 09:55:17 UTC 2015 年 11 月 20 日 (金) 18 時 55 分 17 秒 (日本時間)
composite number 合成数
2125531565863978988511715864357573973949977394215662630593974961960495881628527796765762954623708554581507666918017414609199927463993006184894816034726564301562579496140306626156366620328390877267125068041305829780833596496480107156467<235>
prime factors 素因数
1073644505641152496504702802621<31>
composite cofactor 合成数の残り
1979734963198705119288269583035544357061585379789640543035606836522775169444980676020670593573930081884004218029320219598028044502743258012924839779324505903108870532842576998760304527139122727500440431727<205>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2128938123
Step 1 took 49472ms
Step 2 took 15366ms
********** Factor found in step 2: 1073644505641152496504702802621
Found probable prime factor of 31 digits: 1073644505641152496504702802621

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 20, 2015 08:13:03 UTC 2015 年 11 月 20 日 (金) 17 時 13 分 3 秒 (日本時間)
4511e64402600Dmitry DomanovNovember 29, 2015 21:10:13 UTC 2015 年 11 月 30 日 (月) 6 時 10 分 13 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 08:13:02 UTC 2015 年 12 月 4 日 (金) 17 時 13 分 2 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 11:05:47 UTC 2015 年 12 月 10 日 (木) 20 時 5 分 47 秒 (日本時間)
3002Thomas KozlowskiOctober 28, 2024 06:13:59 UTC 2024 年 10 月 28 日 (月) 15 時 13 分 59 秒 (日本時間)

10257+7199

c216

composite cofactor 合成数の残り
192559512502815634587596259963996842044194566482630444801170067351489235293585982092789953396786739970657529173125823489899018712719236421510219521901618488659670543641424187945931912330763297985092208687372707290333<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 19, 2015 20:45:38 UTC 2015 年 11 月 20 日 (金) 5 時 45 分 38 秒 (日本時間)
4511e64403600Dmitry DomanovNovember 30, 2015 19:05:56 UTC 2015 年 12 月 1 日 (火) 4 時 5 分 56 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 08:13:19 UTC 2015 年 12 月 4 日 (金) 17 時 13 分 19 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 11:06:06 UTC 2015 年 12 月 10 日 (木) 20 時 6 分 6 秒 (日本時間)
3003Thomas KozlowskiOctober 28, 2024 07:21:46 UTC 2024 年 10 月 28 日 (月) 16 時 21 分 46 秒 (日本時間)

10259+7199

c255

composite cofactor 合成数の残り
700133025274802212420359868374991248337184064972344745501645312609395785199187845690681229433592382552685010151928866484632080095218091437373100889168942098998809773857032836238885388223762514877826787089547013932647202968564027165161380662325841909962893<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovOctober 29, 2015 07:32:00 UTC 2015 年 10 月 29 日 (木) 16 時 32 分 0 秒 (日本時間)
4511e64402600Dmitry DomanovDecember 1, 2015 11:26:50 UTC 2015 年 12 月 1 日 (火) 20 時 26 分 50 秒 (日本時間)
1200Dmitry DomanovDecember 4, 2015 08:13:36 UTC 2015 年 12 月 4 日 (金) 17 時 13 分 36 秒 (日本時間)
2602Thomas KozlowskiOctober 28, 2024 08:36:40 UTC 2024 年 10 月 28 日 (月) 17 時 36 分 40 秒 (日本時間)

10260+7199

c246

composite cofactor 合成数の残り
374316583030192172060070839089466505423800832337033465048241266700555300895794294715322028400532883077581939788145259476176003079320065784984087467609826827713079391056224246054769141067700058286277257035050462556662790959543466298414147442789941<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 20, 2015 08:14:24 UTC 2015 年 11 月 20 日 (金) 17 時 14 分 24 秒 (日本時間)
4511e64400600Dmitry DomanovDecember 1, 2015 09:45:47 UTC 2015 年 12 月 1 日 (火) 18 時 45 分 47 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 08:13:57 UTC 2015 年 12 月 4 日 (金) 17 時 13 分 57 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 14:25:14 UTC 2015 年 12 月 10 日 (木) 23 時 25 分 14 秒 (日本時間)
3000Thomas KozlowskiOctober 28, 2024 09:53:53 UTC 2024 年 10 月 28 日 (月) 18 時 53 分 53 秒 (日本時間)

10263+7199

c256

composite cofactor 合成数の残り
7248486751542097435173702374089617245831630845007564883198246909988219034482718629038612181531392145090349850387609204795337889297196147603255237412223543621357028346584654388165018759446137328525267101300429262633913074552208421828295961222915395010272193<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 20, 2015 08:14:42 UTC 2015 年 11 月 20 日 (金) 17 時 14 分 42 秒 (日本時間)
4511e64400600Dmitry DomanovDecember 1, 2015 11:27:21 UTC 2015 年 12 月 1 日 (火) 20 時 27 分 21 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 08:14:14 UTC 2015 年 12 月 4 日 (金) 17 時 14 分 14 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 14:25:30 UTC 2015 年 12 月 10 日 (木) 23 時 25 分 30 秒 (日本時間)
3000Thomas KozlowskiOctober 28, 2024 11:19:50 UTC 2024 年 10 月 28 日 (月) 20 時 19 分 50 秒 (日本時間)

10264+7199

c230

name 名前Dmitry Domanov
date 日付November 20, 2015 11:19:41 UTC 2015 年 11 月 20 日 (金) 20 時 19 分 41 秒 (日本時間)
composite number 合成数
45741960918413488631583479038246679400201812031185275840039207389997485804768883494036661709035036780787101699242692584782573281774893945395266527571013672908020750547763053238387052899382538265943561475478794361113896310018583149<230>
prime factors 素因数
1387107868386999845925194667053<31>
composite cofactor 合成数の残り
32976498771940920666517314851873970040854539876635474116688700778510887605314332246543115562668015358678660927157608895503740505152163786335024361252040653576265574653076535981769056346411070133376833<200>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1778974880
Step 1 took 28532ms
Step 2 took 10401ms
********** Factor found in step 2: 1387107868386999845925194667053
Found probable prime factor of 31 digits: 1387107868386999845925194667053

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 20, 2015 09:52:47 UTC 2015 年 11 月 20 日 (金) 18 時 52 分 47 秒 (日本時間)
4511e64403600Dmitry DomanovNovember 29, 2015 21:09:55 UTC 2015 年 11 月 30 日 (月) 6 時 9 分 55 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 08:14:30 UTC 2015 年 12 月 4 日 (金) 17 時 14 分 30 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 14:25:55 UTC 2015 年 12 月 10 日 (木) 23 時 25 分 55 秒 (日本時間)
3003Thomas KozlowskiOctober 28, 2024 12:19:12 UTC 2024 年 10 月 28 日 (月) 21 時 19 分 12 秒 (日本時間)

10265+7199

c250

name 名前Dmitry Domanov
date 日付November 20, 2015 09:52:26 UTC 2015 年 11 月 20 日 (金) 18 時 52 分 26 秒 (日本時間)
composite number 合成数
1740039002725350516533179337400725128333421618724892086760430339130228040495083234946757473753178890491986601165262104730426577701863300514999956597255617303000212270967392892824543544123125032949400784279239884414129422536195198622550270073219211881<250>
prime factors 素因数
61021407994360688185211171465237<32>
composite cofactor 合成数の残り
28515222114936396510340565150175555145899525055513404349518387270758883702405515866017127634636155611279497007217286079316188977052703888259383180517797770376751811224839154082785475119153916328543657626763784521937413<218>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=688100578
Step 1 took 36863ms
********** Factor found in step 1: 61021407994360688185211171465237
Found probable prime factor of 32 digits: 61021407994360688185211171465237

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 20, 2015 08:14:59 UTC 2015 年 11 月 20 日 (金) 17 時 14 分 59 秒 (日本時間)
4511e64400600Dmitry DomanovNovember 29, 2015 21:10:39 UTC 2015 年 11 月 30 日 (月) 6 時 10 分 39 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 08:14:49 UTC 2015 年 12 月 4 日 (金) 17 時 14 分 49 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 14:26:10 UTC 2015 年 12 月 10 日 (木) 23 時 26 分 10 秒 (日本時間)
3000Thomas KozlowskiOctober 28, 2024 13:26:41 UTC 2024 年 10 月 28 日 (月) 22 時 26 分 41 秒 (日本時間)

10266+7199

c259

composite cofactor 合成数の残り
8585902686176928494627671900718803186984046276641734063856277484011117370234169334091983694683926735118634422480846782935243662337396955215674011820555664167224535693701012595605099648415870903740955073491463337465728296190289017797631819149293307228754806281<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovOctober 28, 2015 23:11:44 UTC 2015 年 10 月 29 日 (木) 8 時 11 分 44 秒 (日本時間)
4511e64401600Dmitry DomanovDecember 2, 2015 21:13:41 UTC 2015 年 12 月 3 日 (木) 6 時 13 分 41 秒 (日本時間)
1200Dmitry DomanovDecember 4, 2015 08:16:12 UTC 2015 年 12 月 4 日 (金) 17 時 16 分 12 秒 (日本時間)
2601Thomas KozlowskiOctober 28, 2024 14:41:13 UTC 2024 年 10 月 28 日 (月) 23 時 41 分 13 秒 (日本時間)

10267+7199

c241

name 名前Dmitry Domanov
date 日付November 20, 2015 09:51:03 UTC 2015 年 11 月 20 日 (金) 18 時 51 分 3 秒 (日本時間)
composite number 合成数
1869684244191654046885908764520591418277622780701180571851553528064261685418521528648591043551347141319661158722642644694255486862514335250404679845525784442129508635096037315494958885890047579140421527912228885670993444363808380400900185967<241>
prime factors 素因数
119251068231773515814950664591671<33>
15678553424425352708910836580432928371726154264628432561479299603394684628215524106888143561579468970041943361207161845376454890499360803432115358384937266092616287934916657543651411313874383880684296992106377<209>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2153301227
Step 1 took 42834ms
Step 2 took 11445ms
********** Factor found in step 2: 119251068231773515814950664591671
Found probable prime factor of 33 digits: 119251068231773515814950664591671

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 20, 2015 08:15:22 UTC 2015 年 11 月 20 日 (金) 17 時 15 分 22 秒 (日本時間)

10268+7199

c267

composite cofactor 合成数の残り
370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370397<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovOctober 28, 2015 23:11:17 UTC 2015 年 10 月 29 日 (木) 8 時 11 分 17 秒 (日本時間)
4511e64400600Dmitry DomanovDecember 2, 2015 21:13:57 UTC 2015 年 12 月 3 日 (木) 6 時 13 分 57 秒 (日本時間)
1200Dmitry DomanovDecember 4, 2015 08:16:34 UTC 2015 年 12 月 4 日 (金) 17 時 16 分 34 秒 (日本時間)
2600Thomas KozlowskiOctober 28, 2024 15:56:10 UTC 2024 年 10 月 29 日 (火) 0 時 56 分 10 秒 (日本時間)

10269+7199

c260

name 名前Dmitry Domanov
date 日付December 3, 2015 11:25:02 UTC 2015 年 12 月 3 日 (木) 20 時 25 分 2 秒 (日本時間)
composite number 合成数
69009828737969872819350571840871044708308079272768959180837433015756381375611133877108562623682304850768008555264405158404922801226900073476075844062545018346121499840377850785069855223293450062050843103118621859310850501151688124399938404863300952562195851731<260>
prime factors 素因数
130975679956992837564244562352505604303<39>
composite cofactor 合成数の残り
526890402558932573956044034704822881692142508167092698949497780456601931041351093241120976535020505559682100124588686414891306133909878309805728870492639679585540303966706252831750380688762529176303238675204484186723026877<222>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1475309420
Step 1 took 115828ms
Step 2 took 39286ms
********** Factor found in step 2: 130975679956992837564244562352505604303
Found probable prime factor of 39 digits: 130975679956992837564244562352505604303

c222

name 名前Dmitry Domanov
date 日付December 4, 2015 10:38:35 UTC 2015 年 12 月 4 日 (金) 19 時 38 分 35 秒 (日本時間)
composite number 合成数
526890402558932573956044034704822881692142508167092698949497780456601931041351093241120976535020505559682100124588686414891306133909878309805728870492639679585540303966706252831750380688762529176303238675204484186723026877<222>
prime factors 素因数
448044786639108404915864933107825350797<39>
1175977085932109774285748142518750443814547540354598476230763433156757281289770274576991987123609469905585838022976277021374007099492582591891991360866689493402030384185672082363078641<184>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1350838466
Step 1 took 118733ms
Step 2 took 33974ms
********** Factor found in step 2: 448044786639108404915864933107825350797
Found probable prime factor of 39 digits: 448044786639108404915864933107825350797

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 20, 2015 09:53:42 UTC 2015 年 11 月 20 日 (金) 18 時 53 分 42 秒 (日本時間)
4511e61200 / 4413600Dmitry DomanovDecember 2, 2015 21:14:09 UTC 2015 年 12 月 3 日 (木) 6 時 14 分 9 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 08:16:55 UTC 2015 年 12 月 4 日 (金) 17 時 16 分 55 秒 (日本時間)

10272+7199

c270

composite cofactor 合成数の残り
122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122100122101<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovOctober 28, 2015 23:09:49 UTC 2015 年 10 月 29 日 (木) 8 時 9 分 49 秒 (日本時間)
4511e64400600Dmitry DomanovDecember 3, 2015 12:45:06 UTC 2015 年 12 月 3 日 (木) 21 時 45 分 6 秒 (日本時間)
1200Dmitry DomanovDecember 4, 2015 08:17:15 UTC 2015 年 12 月 4 日 (金) 17 時 17 分 15 秒 (日本時間)
2600Thomas KozlowskiOctober 28, 2024 17:11:18 UTC 2024 年 10 月 29 日 (火) 2 時 11 分 18 秒 (日本時間)

10273+7199

c243

composite cofactor 合成数の残り
121174511205092139936375094970111454491240025560224940903205279767457315763970800365338828320463076240359583488299941017722607514926186805841333937561352285651958645651319227344643828982690856011176547547969791224902575710993735917320833829279<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 20, 2015 09:54:00 UTC 2015 年 11 月 20 日 (金) 18 時 54 分 0 秒 (日本時間)
4511e64402600Dmitry DomanovDecember 3, 2015 12:45:58 UTC 2015 年 12 月 3 日 (木) 21 時 45 分 58 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 08:17:38 UTC 2015 年 12 月 4 日 (金) 17 時 17 分 38 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 19:24:11 UTC 2015 年 12 月 11 日 (金) 4 時 24 分 11 秒 (日本時間)
3002Thomas KozlowskiOctober 28, 2024 18:28:34 UTC 2024 年 10 月 29 日 (火) 3 時 28 分 34 秒 (日本時間)

10274+7199

c251

name 名前Dmitry Domanov
date 日付December 3, 2015 06:34:00 UTC 2015 年 12 月 3 日 (木) 15 時 34 分 0 秒 (日本時間)
composite number 合成数
63831768956774568062034034306620667347316295693806308721630741338074385782389040871434664844245153694371951052722583339572633967403757295981628128605590032479896449238990927595389881260096623643680207055317397511875982162498086399740670912482621187173<251>
prime factors 素因数
3873043473183589629280157388357961611528467<43>
composite cofactor 合成数の残り
16481036011791964920832744764578793320166717300054873955270439946554444288603723004560382325371622346138210693235289001581588438843672785789784168391880469531444051636746924586141106535233520775926022398378919<209>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3154287354
Step 1 took 116572ms
Step 2 took 34128ms
********** Factor found in step 2: 3873043473183589629280157388357961611528467
Found probable prime factor of 43 digits: 3873043473183589629280157388357961611528467

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 20, 2015 09:54:14 UTC 2015 年 11 月 20 日 (金) 18 時 54 分 14 秒 (日本時間)
4511e64400600Dmitry DomanovDecember 2, 2015 21:14:29 UTC 2015 年 12 月 3 日 (木) 6 時 14 分 29 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 08:18:00 UTC 2015 年 12 月 4 日 (金) 17 時 18 分 0 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 19:25:20 UTC 2015 年 12 月 11 日 (金) 4 時 25 分 20 秒 (日本時間)
3000Thomas KozlowskiOctober 28, 2024 19:28:20 UTC 2024 年 10 月 29 日 (火) 4 時 28 分 20 秒 (日本時間)

10275+7199

c232

composite cofactor 合成数の残り
3810993888136929235476376506521954984924321129245711242448663116975336963982895022326982366217975726401654024576178573272687690097435655692725019851006806828558139384655597790915392621790059355172405884165696277896159501349676797337<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 20, 2015 09:54:33 UTC 2015 年 11 月 20 日 (金) 18 時 54 分 33 秒 (日本時間)
4511e64400600Dmitry DomanovNovember 27, 2015 20:19:35 UTC 2015 年 11 月 28 日 (土) 5 時 19 分 35 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 08:18:22 UTC 2015 年 12 月 4 日 (金) 17 時 18 分 22 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 19:24:33 UTC 2015 年 12 月 11 日 (金) 4 時 24 分 33 秒 (日本時間)
3000Thomas KozlowskiOctober 28, 2024 20:46:06 UTC 2024 年 10 月 29 日 (火) 5 時 46 分 6 秒 (日本時間)

10276+7199

c234

composite cofactor 合成数の残り
382451347294936887317565965322636766640785002726372475952724957361153649091216423225892214047095645718837216055568577446186810769375546533453188073397620255595154176114557618386950883518261232414252254722042344710498445993424264111773<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 20, 2015 13:02:33 UTC 2015 年 11 月 20 日 (金) 22 時 2 分 33 秒 (日本時間)
4511e64403600Dmitry DomanovDecember 2, 2015 14:50:32 UTC 2015 年 12 月 2 日 (水) 23 時 50 分 32 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 08:18:57 UTC 2015 年 12 月 4 日 (金) 17 時 18 分 57 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 19:24:46 UTC 2015 年 12 月 11 日 (金) 4 時 24 分 46 秒 (日本時間)
3003Thomas KozlowskiOctober 28, 2024 22:03:03 UTC 2024 年 10 月 29 日 (火) 7 時 3 分 3 秒 (日本時間)

10277+7199

c226

composite cofactor 合成数の残り
1435829423424248777403019806598999092502207236935886394294818783373392231655677589898916061491696672249435108992184955785808146269685100702552578252920660239519471737300419462525494195172916078230743025919824466275224549651727<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 20, 2015 13:02:52 UTC 2015 年 11 月 20 日 (金) 22 時 2 分 52 秒 (日本時間)
4511e64400600Dmitry DomanovNovember 27, 2015 20:19:49 UTC 2015 年 11 月 28 日 (土) 5 時 19 分 49 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 12:03:10 UTC 2015 年 12 月 4 日 (金) 21 時 3 分 10 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 19:25:00 UTC 2015 年 12 月 11 日 (金) 4 時 25 分 0 秒 (日本時間)
3000Thomas KozlowskiOctober 28, 2024 23:10:59 UTC 2024 年 10 月 29 日 (火) 8 時 10 分 59 秒 (日本時間)

10278+7199

c255

composite cofactor 合成数の残り
298038353686866698807616634148451624015144361537489978710041585635930882745921011568743414781871649628707817569321535988245192868948838596514727842708965733748165580392192688379386885476975443874124285008677136610485802608870515197684098820881690489833993<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 20, 2015 13:03:15 UTC 2015 年 11 月 20 日 (金) 22 時 3 分 15 秒 (日本時間)
4511e64400600Dmitry DomanovDecember 3, 2015 06:31:49 UTC 2015 年 12 月 3 日 (木) 15 時 31 分 49 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 17:05:16 UTC 2015 年 12 月 6 日 (日) 2 時 5 分 16 秒 (日本時間)
3000Thomas KozlowskiOctober 29, 2024 00:36:56 UTC 2024 年 10 月 29 日 (火) 9 時 36 分 56 秒 (日本時間)

10280+7199

c192

composite cofactor 合成数の残り
342755466075561840708741452944929165763360784211615529259307874134022757724501306002374586008072638132500325417582561660381130280851077689829241291384403315318175988579429321071564139883878909<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6894294KTakahashiOctober 28, 2015 14:10:32 UTC 2015 年 10 月 28 日 (水) 23 時 10 分 32 秒 (日本時間)
600Dmitry DomanovOctober 29, 2015 07:11:32 UTC 2015 年 10 月 29 日 (木) 16 時 11 分 32 秒 (日本時間)
4511e60--
5043e61500 / 7520Erik BrangerNovember 1, 2015 20:09:22 UTC 2015 年 11 月 2 日 (月) 5 時 9 分 22 秒 (日本時間)

10281+7199

c258

name 名前Dmitry Domanov
date 日付November 20, 2015 14:43:07 UTC 2015 年 11 月 20 日 (金) 23 時 43 分 7 秒 (日本時間)
composite number 合成数
448335278964561065915658313041767535793236832393750795436218768842780635774571908759912498923447860083955218346937884613268717313271980922434628894130642501324112661958449109079192769857267531892401243599475929770235418600958004866826785290039193891385589001<258>
prime factors 素因数
397432202290093839726925831993<30>
composite cofactor 合成数の残り
1128079899870096676875659781031318405338425060032678590466116587062112846782369043814251027330908697925780288469129022152848844219962971675431664953992269976761672885221222496698966868197442764061008009266142034188832178822347857<229>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3042080363
Step 1 took 42850ms
Step 2 took 13537ms
********** Factor found in step 2: 397432202290093839726925831993
Found probable prime factor of 30 digits: 397432202290093839726925831993

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 20, 2015 13:03:40 UTC 2015 年 11 月 20 日 (金) 22 時 3 分 40 秒 (日本時間)
4511e64402600Dmitry DomanovNovember 30, 2015 19:06:55 UTC 2015 年 12 月 1 日 (火) 4 時 6 分 55 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 12:03:26 UTC 2015 年 12 月 4 日 (金) 21 時 3 分 26 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 19:25:44 UTC 2015 年 12 月 11 日 (金) 4 時 25 分 44 秒 (日本時間)
3002Thomas KozlowskiOctober 29, 2024 01:44:57 UTC 2024 年 10 月 29 日 (火) 10 時 44 分 57 秒 (日本時間)

10283+7199

c246

composite cofactor 合成数の残り
316584473897451345195289195036058982939740230110086546691556192677180960332831726352210307085876742418028132097044264464483901038170522075694992115879623647883272739963793133647783639538243965320910389682981781276723323237939641217091820508447307<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 20, 2015 13:03:54 UTC 2015 年 11 月 20 日 (金) 22 時 3 分 54 秒 (日本時間)
4511e64401600Dmitry DomanovDecember 3, 2015 12:23:31 UTC 2015 年 12 月 3 日 (木) 21 時 23 分 31 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 10:39:14 UTC 2015 年 12 月 4 日 (金) 19 時 39 分 14 秒 (日本時間)
200Dmitry DomanovDecember 10, 2015 19:25:56 UTC 2015 年 12 月 11 日 (金) 4 時 25 分 56 秒 (日本時間)
3001Thomas KozlowskiOctober 29, 2024 03:02:24 UTC 2024 年 10 月 29 日 (火) 12 時 2 分 24 秒 (日本時間)

10284+7199

c255

name 名前Dmitry Domanov
date 日付December 3, 2015 12:21:27 UTC 2015 年 12 月 3 日 (木) 21 時 21 分 27 秒 (日本時間)
composite number 合成数
296663520276616005317374302325141992622415315970070658163048379395498777629103026779277037252828178772874102225298373177786709575138739309132544629767138956114347747407896045042364414250305524904364926216972563446107254921045347395875636789419529263060073<255>
prime factors 素因数
1743778328461157574625761958217153352126489941<46>
170126853530984311077132121913765889918376081952572940659186914330624853265706956780699208243800083116597568872411691969551285262579682166454516763710558515958859305838231512716201013922698695251241998935405253<210>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2126778786
Step 1 took 133932ms
Step 2 took 38783ms
********** Factor found in step 2: 1743778328461157574625761958217153352126489941
Found probable prime factor of 46 digits: 1743778328461157574625761958217153352126489941

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 20, 2015 13:04:08 UTC 2015 年 11 月 20 日 (金) 22 時 4 分 8 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovDecember 3, 2015 06:32:35 UTC 2015 年 12 月 3 日 (木) 15 時 32 分 35 秒 (日本時間)

10285+7199

c276

composite cofactor 合成数の残り
482533875478864748206457895519189515488898538311810389938804672710008744329305926588518925485980651141450940017752739751225250137249402238362024939916799897526790040705983520085210309646422381103159691120048902723733440873535012255812761214496092954816216475999413317942973279<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 22, 2015 09:07:14 UTC 2015 年 11 月 22 日 (日) 18 時 7 分 14 秒 (日本時間)
4511e64400600Dmitry DomanovDecember 3, 2015 12:23:51 UTC 2015 年 12 月 3 日 (木) 21 時 23 分 51 秒 (日本時間)
1600Dmitry DomanovDecember 5, 2015 17:08:09 UTC 2015 年 12 月 6 日 (日) 2 時 8 分 9 秒 (日本時間)
2200Thomas KozlowskiOctober 29, 2024 04:12:52 UTC 2024 年 10 月 29 日 (火) 13 時 12 分 52 秒 (日本時間)

10286+7199

c226

name 名前Dmitry Domanov
date 日付November 30, 2015 22:55:44 UTC 2015 年 12 月 1 日 (火) 7 時 55 分 44 秒 (日本時間)
composite number 合成数
9470595169199101672619258667960502491311105729243939433448365024848333924952461507753294792809909419995499960917574895657444670803072941277751541800499532732544339905714900651011078910404590463293665470127397731678578052189937<226>
prime factors 素因数
3962040178350180065671819488586571837753<40>
composite cofactor 合成数の残り
2390332945372280554604532270656648512988055338714062702970453453338589124399889701357448485928620953647736458620579471746827840345438317790784059991854846089427778567171268456842581156729<187>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=723940413
Step 1 took 98394ms
Step 2 took 32105ms
********** Factor found in step 2: 3962040178350180065671819488586571837753
Found probable prime factor of 40 digits: 3962040178350180065671819488586571837753

c187

name 名前Dmitry Domanov
date 日付December 1, 2015 15:52:21 UTC 2015 年 12 月 2 日 (水) 0 時 52 分 21 秒 (日本時間)
composite number 合成数
2390332945372280554604532270656648512988055338714062702970453453338589124399889701357448485928620953647736458620579471746827840345438317790784059991854846089427778567171268456842581156729<187>
prime factors 素因数
192554956940263413308558698362201228666571<42>
12413769987307243415285972635920112154041904913046391782653424267338619749704661806673535909919324736254336799056786492399108788488274195841012299<146>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1822930217
Step 1 took 74159ms
Step 2 took 17623ms
********** Factor found in step 2: 192554956940263413308558698362201228666571
Found probable prime factor of 42 digits: 192554956940263413308558698362201228666571

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 20, 2015 13:04:33 UTC 2015 年 11 月 20 日 (金) 22 時 4 分 33 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 30, 2015 19:07:14 UTC 2015 年 12 月 1 日 (火) 4 時 7 分 14 秒 (日本時間)

10287+7199

c277

name 名前Dmitry Domanov
date 日付November 22, 2015 13:25:57 UTC 2015 年 11 月 22 日 (日) 22 時 25 分 57 秒 (日本時間)
composite number 合成数
3813147105046060107215966205112553678731375985202803231448905978663786355057224801749318054188326398941719773965060566936340563378299100695188488348141967903546310365185348774025977994222127552608941706880570754274693300034031769753617434593946523201664979812179399692913223623<277>
prime factors 素因数
280562099382267131538333729399317<33>
composite cofactor 合成数の残り
13591098417932173727206997064350356422234171965177038835008273357091240715773938337432930673483854176469208234573617184870946496036547294456556580610953842438788103457948156430956298242324915698843322249666303987791538983747593769593162228499819<245>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2691889598
Step 1 took 47991ms
Step 2 took 14007ms
********** Factor found in step 2: 280562099382267131538333729399317
Found probable prime factor of 33 digits: 280562099382267131538333729399317

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 22, 2015 09:07:26 UTC 2015 年 11 月 22 日 (日) 18 時 7 分 26 秒 (日本時間)
4511e64405600Dmitry DomanovDecember 3, 2015 13:20:28 UTC 2015 年 12 月 3 日 (木) 22 時 20 分 28 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 17:10:10 UTC 2015 年 12 月 6 日 (日) 2 時 10 分 10 秒 (日本時間)
3005Thomas KozlowskiOctober 29, 2024 05:30:03 UTC 2024 年 10 月 29 日 (火) 14 時 30 分 3 秒 (日本時間)

10288+7199

c239

composite cofactor 合成数の残り
84168372697542125953198914104662239150921262625410223661725485373558349016257293690243986342369698005390033293257868006806713885175164860407839506555690225592284881635453752390356320616087794963371694446094975747232868648994982168237426049<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 20, 2015 13:05:01 UTC 2015 年 11 月 20 日 (金) 22 時 5 分 1 秒 (日本時間)
4511e64401600Dmitry DomanovDecember 3, 2015 10:50:10 UTC 2015 年 12 月 3 日 (木) 19 時 50 分 10 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 17:10:23 UTC 2015 年 12 月 6 日 (日) 2 時 10 分 23 秒 (日本時間)
3001Thomas KozlowskiOctober 29, 2024 06:47:16 UTC 2024 年 10 月 29 日 (火) 15 時 47 分 16 秒 (日本時間)

10289+7199

c206

name 名前Thomas Kozlowski
date 日付October 29, 2024 07:27:25 UTC 2024 年 10 月 29 日 (火) 16 時 27 分 25 秒 (日本時間)
composite number 合成数
27942099656892971387796143763524740189234098203923902186202946540877815603011181903473747554937998514905125371718273794993111332563720451825673019261301116658043778223590636246738797340294930423602906963777<206>
prime factors 素因数
327811672833955888790644859487477897463976029<45>
composite cofactor 合成数の残り
85238269324980029185495455660481570884215605200110252358615963928867189601266102755794853383683044457924270083441347063559973712440194995919337781237675694402613<161>
factorization results 素因数分解の結果
GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 27942099656892971387796143763524740189234098203923902186202946540877815603011181903473747554937998514905125371718273794993111332563720451825673019261301116658043778223590636246738797340294930423602906963777 (206 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4129998023
Step 1 took 34048ms
Step 2 took 13515ms
Run 2 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2564221518
Step 1 took 37744ms
Step 2 took 15383ms
Run 3 out of 0:
...
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3337943152
Step 1 took 34321ms
Step 2 took 13960ms
Run 42 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:804104312
Step 1 took 34999ms
Step 2 took 13372ms
** Factor found in step 2: 327811672833955888790644859487477897463976029
Found prime factor of 45 digits: 327811672833955888790644859487477897463976029
Composite cofactor 85238269324980029185495455660481570884215605200110252358615963928867189601266102755794853383683044457924270083441347063559973712440194995919337781237675694402613 has 161 digits
execution environment 実行環境
2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

c161

name 名前yoyo
date 日付November 16, 2024 12:50:55 UTC 2024 年 11 月 16 日 (土) 21 時 50 分 55 秒 (日本時間)
composite number 合成数
85238269324980029185495455660481570884215605200110252358615963928867189601266102755794853383683044457924270083441347063559973712440194995919337781237675694402613<161>
prime factors 素因数
592367095594608193484074405379479355744920736917<48>
143894335048133081345331835932431732492826065692956824150720517259963186036088866149760084014348230391716010701089<114>
factorization results 素因数分解の結果
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 85238269324980029185495455660481570884215605200110252358615963928867189601266102755794853383683044457924270083441347063559973712440194995919337781237675694402613 (161 digits)
[Sat Nov 16 11:41:37 2024]
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=0:998353576371639668
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
35   40      45      50      55      60      65      70      75      80
55      246     1286    7557    49831   361851  2844041 2.4e+07 2.2e+08 2.2e+09
Writing checkpoint to checkpnt at p = 43000000
Step 1 took 103718ms
Using 20 small primes for NTT
Estimated memory usage: 231.70MB
Initializing tables of differences for F took 31ms
Computing roots of F took 1829ms
Building F from its roots took 2313ms
Computing 1/F took 734ms
Initializing table of differences for G took 31ms
Computing roots of G took 1313ms
Building G from its roots took 1875ms
Computing roots of G took 1422ms
Building G from its roots took 1640ms
Computing G * H took 328ms
Reducing  G * H mod F took 344ms
Computing roots of G took 1281ms
Building G from its roots took 1735ms
Computing G * H took 516ms
Reducing  G * H mod F took 406ms
Computing roots of G took 1391ms
Building G from its roots took 1953ms
Computing G * H took 531ms
Reducing  G * H mod F took 438ms
Computing roots of G took 1312ms
Building G from its roots took 1969ms
Computing G * H took 500ms
Reducing  G * H mod F took 485ms
Computing polyeval(F,G) took 3578ms
Computing product of all F(g_i) took 31ms
Step 2 took 28219ms
********** Factor found in step 2: 592367095594608193484074405379479355744920736917
Found prime factor of 48 digits: 592367095594608193484074405379479355744920736917
Prime cofactor 143894335048133081345331835932431732492826065692956824150720517259963186036088866149760084014348230391716010701089 has 114 digits
Peak memory usage: 324MB
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc]

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 22, 2015 09:07:54 UTC 2015 年 11 月 22 日 (日) 18 時 7 分 54 秒 (日本時間)
4511e61400 / 4346600Dmitry DomanovNovember 29, 2015 21:11:18 UTC 2015 年 11 月 30 日 (月) 6 時 11 分 18 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 17:10:45 UTC 2015 年 12 月 6 日 (日) 2 時 10 分 45 秒 (日本時間)

10290+7199

c280

name 名前Dmitry Domanov
date 日付November 22, 2015 12:03:37 UTC 2015 年 11 月 22 日 (日) 21 時 3 分 37 秒 (日本時間)
composite number 合成数
1880584745449895875963409773355604714082174480233650948358226086076604967306276701756485960449326571903086250909277557537204392082030286812022221590913684344183076453057488126292430914264413556746066160262441578478087907439745995973398271304190687499973964479564712097782209068819<280>
prime factors 素因数
754883630220039415695171605604763<33>
composite cofactor 合成数の残り
2491224700291524732819923074585646797734005597303816349046104246386130097785520102310519926750295892977670547769681705159972029017629889966734822016429839071515415294823354716247069253592292964678648800449286964324123177244061892114130225067406313<247>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1349219439
Step 1 took 65739ms
Step 2 took 19810ms
********** Factor found in step 2: 754883630220039415695171605604763
Found probable prime factor of 33 digits: 754883630220039415695171605604763

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 22, 2015 09:08:07 UTC 2015 年 11 月 22 日 (日) 18 時 8 分 7 秒 (日本時間)
4511e64400600Dmitry DomanovDecember 2, 2015 12:53:44 UTC 2015 年 12 月 2 日 (水) 21 時 53 分 44 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 17:11:01 UTC 2015 年 12 月 6 日 (日) 2 時 11 分 1 秒 (日本時間)
3000Thomas KozlowskiOctober 29, 2024 08:39:33 UTC 2024 年 10 月 29 日 (火) 17 時 39 分 33 秒 (日本時間)

10291+7199

c204

composite cofactor 合成数の残り
171349945360848107869448281845320474771703216609307509602346349460281129337027173405486411111411580628252183745000732804567958277674391707755987950282443595079612813724525148914780262786439012695568457533<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 22, 2015 09:08:21 UTC 2015 年 11 月 22 日 (日) 18 時 8 分 21 秒 (日本時間)
4511e64404600Dmitry DomanovNovember 29, 2015 21:11:31 UTC 2015 年 11 月 30 日 (月) 6 時 11 分 31 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 17:11:19 UTC 2015 年 12 月 6 日 (日) 2 時 11 分 19 秒 (日本時間)
3004Thomas KozlowskiOctober 29, 2024 09:39:18 UTC 2024 年 10 月 29 日 (火) 18 時 39 分 18 秒 (日本時間)

10294+7199

c290

composite cofactor 合成数の残り
96366965404259419870868266358292377373036523079888214320131059072949792811024380842247277633227329671388647971475378240339211718222993157945456297581189168353088561241206514406861327936783270694805820564710417268960200443288040859593331405994025248144935915968006167485785872602871735569047<290>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovOctober 28, 2015 18:45:49 UTC 2015 年 10 月 29 日 (木) 3 時 45 分 49 秒 (日本時間)
4511e64400600Dmitry DomanovDecember 2, 2015 11:42:50 UTC 2015 年 12 月 2 日 (水) 20 時 42 分 50 秒 (日本時間)
1200Dmitry DomanovDecember 4, 2015 08:19:40 UTC 2015 年 12 月 4 日 (金) 17 時 19 分 40 秒 (日本時間)
2600Thomas KozlowskiOctober 29, 2024 11:11:47 UTC 2024 年 10 月 29 日 (火) 20 時 11 分 47 秒 (日本時間)

10295+7199

c272

composite cofactor 合成数の残り
84910473196970345770508099074580106938598943556238196636823076819471270738441686310253474128274723090175250334572501451656394666110402158998671844012371258758114600025446025552717444255174971281504825619447672004214859945152538303547935710926271557159407119585665313575077<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 22, 2015 09:08:37 UTC 2015 年 11 月 22 日 (日) 18 時 8 分 37 秒 (日本時間)
4511e64400600Dmitry DomanovDecember 2, 2015 16:27:07 UTC 2015 年 12 月 3 日 (木) 1 時 27 分 7 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 17:12:14 UTC 2015 年 12 月 6 日 (日) 2 時 12 分 14 秒 (日本時間)
3000Thomas KozlowskiOctober 29, 2024 12:47:41 UTC 2024 年 10 月 29 日 (火) 21 時 47 分 41 秒 (日本時間)

10296+7199

c240

name 名前Dmitry Domanov
date 日付December 2, 2015 12:49:56 UTC 2015 年 12 月 2 日 (水) 21 時 49 分 56 秒 (日本時間)
composite number 合成数
395832210834209206690134464086862272712159560034968505305547113051237507568799231371897471183275601723900160760508437424430356255722205588703273910959116256347185860151901253295975397489908983390682306615686678889464908288826520517483599447<240>
prime factors 素因数
6683272699929783194629883428945724147<37>
59227302042959874827535031629846246519285091905205065340412092489554453948249472516975632909733266866127833251937248544483894045129908210652634265752777657846344016108103881943380190563722316728860069901<203>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4288837573
Step 1 took 102278ms
Step 2 took 35917ms
********** Factor found in step 2: 6683272699929783194629883428945724147
Found probable prime factor of 37 digits: 6683272699929783194629883428945724147

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 22, 2015 09:08:50 UTC 2015 年 11 月 22 日 (日) 18 時 8 分 50 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovDecember 2, 2015 11:43:19 UTC 2015 年 12 月 2 日 (水) 20 時 43 分 19 秒 (日本時間)

10297+7199

c288

name 名前Dmitry Domanov
date 日付November 22, 2015 20:22:25 UTC 2015 年 11 月 23 日 (月) 5 時 22 分 25 秒 (日本時間)
composite number 合成数
126076052759218774494666210941575974762710001188628635527055907495028730149755885186110738906236254026464578595156514116979017269577852011937592248484606599918244748042967545334943647786067831720568025171222112731852431636955168652835328643391667471009819961249584657100525887006609857173<288>
prime factors 素因数
2033150621164881881123805366882647<34>
composite cofactor 合成数の残り
62010188250088539803834986003927779547218532153537492661593672164880004629080946911628006631430965290460239714260331481092712306380164989310468905068205418081067210648071261984195403961754297977747203551256075918633502799647070294392628219248175230723059<254>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2827282273
Step 1 took 57511ms
Step 2 took 17996ms
********** Factor found in step 2: 2033150621164881881123805366882647
Found probable prime factor of 34 digits: 2033150621164881881123805366882647

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 22, 2015 09:09:04 UTC 2015 年 11 月 22 日 (日) 18 時 9 分 4 秒 (日本時間)
4511e64400600Dmitry DomanovDecember 2, 2015 22:53:39 UTC 2015 年 12 月 3 日 (木) 7 時 53 分 39 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 17:12:34 UTC 2015 年 12 月 6 日 (日) 2 時 12 分 34 秒 (日本時間)
3000Thomas KozlowskiOctober 29, 2024 14:13:39 UTC 2024 年 10 月 29 日 (火) 23 時 13 分 39 秒 (日本時間)

10298+7199

c266

composite cofactor 合成数の残り
80887859084667328386720314341383300524779428039101668040483660551213411096143287644036430615281845464088711157827418812455462518002435475804377818041261735578818855719055682006453207609572633237544549461685792027986088408799955158049022051340963700108313958799236867<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 22, 2015 09:09:16 UTC 2015 年 11 月 22 日 (日) 18 時 9 分 16 秒 (日本時間)
4511e64400600Dmitry DomanovDecember 2, 2015 16:49:58 UTC 2015 年 12 月 3 日 (木) 1 時 49 分 58 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 17:12:46 UTC 2015 年 12 月 6 日 (日) 2 時 12 分 46 秒 (日本時間)
3000Thomas KozlowskiOctober 29, 2024 15:39:56 UTC 2024 年 10 月 30 日 (水) 0 時 39 分 56 秒 (日本時間)

10300+7199

c286

composite cofactor 合成数の残り
6871212346763752835856802756403850440116848717012828929439550700397114878183264618146360063804186574761581077536060679789128619376814555178405192817484242006960890321535076598715638027447452919908040978569821645227567546784086611672416494685729743871573724937617084781684807040413238367<286>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61336136KTakahashiOctober 28, 2015 14:04:42 UTC 2015 年 10 月 28 日 (水) 23 時 4 分 42 秒 (日本時間)
1200Dmitry DomanovOctober 28, 2015 17:11:26 UTC 2015 年 10 月 29 日 (木) 2 時 11 分 26 秒 (日本時間)
4511e6600Dmitry DomanovOctober 30, 2015 23:34:30 UTC 2015 年 10 月 31 日 (土) 8 時 34 分 30 秒 (日本時間)
5043e6800 / 7077400Dmitry DomanovOctober 31, 2015 23:54:05 UTC 2015 年 11 月 1 日 (日) 8 時 54 分 5 秒 (日本時間)
400Dmitry DomanovNovember 1, 2015 22:40:08 UTC 2015 年 11 月 2 日 (月) 7 時 40 分 8 秒 (日本時間)
5511e7100 / 17413Dmitry DomanovNovember 2, 2015 22:05:18 UTC 2015 年 11 月 3 日 (火) 7 時 5 分 18 秒 (日本時間)
6026e710 / 41875Dmitry DomanovNovember 3, 2015 13:47:07 UTC 2015 年 11 月 3 日 (火) 22 時 47 分 7 秒 (日本時間)