Table of contents 目次

23×10102+319

c89

name 名前Robert Backstrom
date 日付August 13, 2008 19:30:27 UTC 2008 年 8 月 14 日 (木) 4 時 30 分 27 秒 (日本時間)
composite number 合成数
10133144188939020667332924829099166344145459417174872384023152068186407293124797771477029<89>
prime factors 素因数
36174622317116628604747601318347875179<38>
280117484022614210615310757466475649891967034175151<51>
factorization results 素因数分解の結果
Number: n
N=10133144188939020667332924829099166344145459417174872384023152068186407293124797771477029
  ( 89 digits)
SNFS difficulty: 103 digits.
Divisors found:
 r1=36174622317116628604747601318347875179 (pp38)
 r2=280117484022614210615310757466475649891967034175151 (pp51)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.75 hours.
Scaled time: 1.09 units (timescale=1.449).
Factorization parameters were as follows:
name: KA_2_5_101_9
n: 10133144188939020667332924829099166344145459417174872384023152068186407293124797771477029
type: snfs
skew: 0.42
deg: 5
c5: 2300
c0: 31
m: 100000000000000000000
rlim: 300000
alim: 300000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 300000/300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved algebraic special-q in [100000, 160001)
Primes: RFBsize:25997, AFBsize:25925, largePrimes:3193322 encountered
Relations: rels:2812979, finalFF:136783
Max relations in full relation-set: 28
Initial matrix: 51989 x 136783 with sparse part having weight 12094637.
Pruned matrix : 40477 x 40800 with weight 2131424.
Total sieving time: 0.67 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.01 hours.
Total square root time: 0.02 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,103,5,0,0,0,0,0,0,0,0,300000,300000,28,28,50,50,2.5,2.5,20000
total time: 0.75 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)

23×10108+319

c108

name 名前Serge Batalov
date 日付August 13, 2008 19:25:33 UTC 2008 年 8 月 14 日 (木) 4 時 25 分 33 秒 (日本時間)
composite number 合成数
851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851853<108>
prime factors 素因数
87457626883402500347090286707579<32>
9740166549311141470879840695000672432811606088405464382425229128401576277207<76>
factorization results 素因数分解の結果
Number: 25559_108
N=851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851853
  ( 108 digits)
SNFS difficulty: 109 digits.
Divisors found:
 r1=87457626883402500347090286707579
 r2=9740166549311141470879840695000672432811606088405464382425229128401576277207
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.875).
Factorization parameters were as follows:
n: 851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851853
Y1: 1
Y0: -1000000000000000000000
c5: 23000
c0: 31
skew: 0.27
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, 400001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 73371 x 73604
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,109,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 0.90 hours.
software ソフトウェア
Msieve 1.36
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)

23×10116+319

c102

name 名前Serge Batalov
date 日付August 13, 2008 21:22:10 UTC 2008 年 8 月 14 日 (木) 6 時 22 分 10 秒 (日本時間)
composite number 合成数
857659450405096353317645695092954648720447466263198250149873858089122806724718795563981780401853659511<102>
prime factors 素因数
54931236506670937151390207759795749240532083<44>
15613328680502956072470938717289086244068747139245028532717<59>
factorization results 素因数分解の結果
Number: 25559_116
N=857659450405096353317645695092954648720447466263198250149873858089122806724718795563981780401853659511
  ( 102 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=54931236506670937151390207759795749240532083
 r2=15613328680502956072470938717289086244068747139245028532717
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
n: 857659450405096353317645695092954648720447466263198250149873858089122806724718795563981780401853659511
Y1: 1
Y0: -100000000000000000000000
c5: 230
c0: 31
skew: 0.67
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 450001)
Primes: rational ideals filtering, algebraic ideals filtering,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 107451 x 107666
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,117,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.00 hours.
software ソフトウェア
Msieve 1.36
execution environment 実行環境
Opteron-2.2GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)

23×10123+319

c97

name 名前Serge Batalov
date 日付August 13, 2008 22:31:58 UTC 2008 年 8 月 14 日 (木) 7 時 31 分 58 秒 (日本時間)
composite number 合成数
7198331577094593449322038402622532849085397100382498237523975153060080209219807651570263344147503<97>
prime factors 素因数
714725418909421255436482397289613<33>
10071464350712919091136784607863782767507181435730410139468751531<65>
factorization results 素因数分解の結果
Run 261 out of 920:
Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=3152336085
Step 1 took 4329ms
Step 2 took 3786ms
********** Factor found in step 2: 714725418909421255436482397289613
Found probable prime factor of 33 digits: 714725418909421255436482397289613
Probable prime cofactor 10071464350712919091136784607863782767507181435730410139468751531 has 65 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)

23×10127+319

c117

name 名前Robert Backstrom
date 日付August 14, 2008 04:35:05 UTC 2008 年 8 月 14 日 (木) 13 時 35 分 5 秒 (日本時間)
composite number 合成数
416729905953072264269507026565861748886593163661877469648194994869817747460538910312526637595843864694003181346798733<117>
prime factors 素因数
37482453682442295251317733556828300327910374081709<50>
11117999624135567706071487447289819238425678281178420561049303069537<68>
factorization results 素因数分解の結果
Number: n
N=416729905953072264269507026565861748886593163661877469648194994869817747460538910312526637595843864694003181346798733
  ( 117 digits)
SNFS difficulty: 128 digits.
Divisors found:

Thu Aug 14 14:30:21 2008  prp50 factor: 37482453682442295251317733556828300327910374081709
Thu Aug 14 14:30:21 2008  prp68 factor: 11117999624135567706071487447289819238425678281178420561049303069537
Thu Aug 14 14:30:21 2008  elapsed time 00:25:45 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 3.18 hours.
Scaled time: 4.59 units (timescale=1.444).
Factorization parameters were as follows:
name: KA_2_5_126_9
n: 416729905953072264269507026565861748886593163661877469648194994869817747460538910312526637595843864694003181346798733
type: snfs
skew: 0.42
deg: 5
c5: 2300
c0: 31
m: 10000000000000000000000000
rlim: 700000
alim: 700000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved  special-q in [100000, 460001)
Primes: RFBsize:56543, AFBsize:56539, largePrimes:5776983 encountered
Relations: rels:4980603, finalFF:104656
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 3.05 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,128,5,0,0,0,0,0,0,0,0,700000,700000,28,28,50,50,2.5,2.5,50000
total time: 3.18 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)

23×10130+319

c106

name 名前Robert Backstrom
date 日付August 14, 2008 11:49:35 UTC 2008 年 8 月 14 日 (木) 20 時 49 分 35 秒 (日本時間)
composite number 合成数
1258731757172469004163889939303851535943090531086634050129863780310728667440482666587361506345620904023461<106>
prime factors 素因数
14880480537836991036560178301181133024307979<44>
84589456232401803618572893875810928263984685426113509528121359<62>
factorization results 素因数分解の結果
Number: n
N=1258731757172469004163889939303851535943090531086634050129863780310728667440482666587361506345620904023461
  ( 106 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=14880480537836991036560178301181133024307979 (pp44)
 r2=84589456232401803618572893875810928263984685426113509528121359 (pp62)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 3.43 hours.
Scaled time: 4.98 units (timescale=1.450).
Factorization parameters were as follows:
name: KA_2_5_129_9
n: 1258731757172469004163889939303851535943090531086634050129863780310728667440482666587361506345620904023461
type: snfs
skew: 1.06
deg: 5
c5: 23
c0: 31
m: 100000000000000000000000000
rlim: 800000
alim: 800000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved algebraic special-q in [100000, 480001)
Primes: RFBsize:63951, AFBsize:63869, largePrimes:6329489 encountered
Relations: rels:5532637, finalFF:154928
Max relations in full relation-set: 28
Initial matrix: 127885 x 154928 with sparse part having weight 14763138.
Pruned matrix : 119834 x 120537 with weight 9726166.
Total sieving time: 2.95 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.27 hours.
Total square root time: 0.08 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,800000,800000,28,28,50,50,2.5,2.5,50000
total time: 3.43 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)

23×10132+319

c94

name 名前Serge Batalov
date 日付August 13, 2008 21:19:17 UTC 2008 年 8 月 14 日 (木) 6 時 19 分 17 秒 (日本時間)
composite number 合成数
1552393313343948764302713161569033385259291635053878410148001293956160874279801427032129472179<94>
prime factors 素因数
1655570577258704683443960244245536278805161<43>
937678728208859008823339976946357714452296342866939<51>
factorization results 素因数分解の結果
Wed Aug 13 10:45:30 2008  Msieve v. 1.36
Wed Aug 13 10:45:30 2008  random seeds: 9f5c825b c4951560
Wed Aug 13 10:45:30 2008  factoring 1552393313343948764302713161569033385259291635053878410148001293956160874279801427032129472179 (94 digits)
Wed Aug 13 10:45:31 2008  no P-1/P+1/ECM available, skipping
Wed Aug 13 10:45:31 2008  commencing quadratic sieve (94-digit input)
Wed Aug 13 10:45:31 2008  using multiplier of 1
Wed Aug 13 10:45:31 2008  using 64kb Opteron sieve core
Wed Aug 13 10:45:31 2008  sieve interval: 18 blocks of size 65536
Wed Aug 13 10:45:31 2008  processing polynomials in batches of 6
Wed Aug 13 10:45:31 2008  using a sieve bound of 1984859 (74118 primes)
Wed Aug 13 10:45:31 2008  using large prime bound of 256046811 (27 bits)
Wed Aug 13 10:45:31 2008  using double large prime bound of 1364503925389509 (42-51 bits)
Wed Aug 13 10:45:31 2008  using trial factoring cutoff of 51 bits
Wed Aug 13 10:45:31 2008  polynomial 'A' values have 12 factors
Wed Aug 13 14:12:07 2008  74570 relations (18435 full + 56135 combined from 1036730 partial), need 74214
Wed Aug 13 14:12:07 2008  begin with 1055165 relations
Wed Aug 13 14:12:08 2008  reduce to 193738 relations in 11 passes
Wed Aug 13 14:12:08 2008  attempting to read 193738 relations
Wed Aug 13 14:12:10 2008  recovered 193738 relations
Wed Aug 13 14:12:10 2008  recovered 177248 polynomials
Wed Aug 13 14:12:10 2008  attempting to build 74570 cycles
Wed Aug 13 14:12:10 2008  found 74570 cycles in 5 passes
Wed Aug 13 14:12:10 2008  distribution of cycle lengths:
Wed Aug 13 14:12:10 2008     length 1 : 18435
Wed Aug 13 14:12:10 2008     length 2 : 13018
Wed Aug 13 14:12:10 2008     length 3 : 12408
Wed Aug 13 14:12:10 2008     length 4 : 10058
Wed Aug 13 14:12:10 2008     length 5 : 7624
Wed Aug 13 14:12:10 2008     length 6 : 5079
Wed Aug 13 14:12:10 2008     length 7 : 3422
Wed Aug 13 14:12:10 2008     length 9+: 4526
Wed Aug 13 14:12:10 2008  largest cycle: 21 relations
Wed Aug 13 14:12:11 2008  matrix is 74118 x 74570 (20.0 MB) with weight 4654747 (62.42/col)
Wed Aug 13 14:12:11 2008  sparse part has weight 4654747 (62.42/col)
Wed Aug 13 14:12:12 2008  filtering completed in 3 passes
Wed Aug 13 14:12:12 2008  matrix is 70647 x 70711 (19.0 MB) with weight 4418943 (62.49/col)
Wed Aug 13 14:12:12 2008  sparse part has weight 4418943 (62.49/col)
Wed Aug 13 14:12:13 2008  saving the first 48 matrix rows for later
Wed Aug 13 14:12:13 2008  matrix is 70599 x 70711 (11.6 MB) with weight 3378476 (47.78/col)
Wed Aug 13 14:12:13 2008  sparse part has weight 2338269 (33.07/col)
Wed Aug 13 14:12:13 2008  matrix includes 64 packed rows
Wed Aug 13 14:12:13 2008  using block size 28284 for processor cache size 1024 kB
Wed Aug 13 14:12:13 2008  commencing Lanczos iteration
Wed Aug 13 14:12:13 2008  memory use: 10.7 MB
Wed Aug 13 14:12:53 2008  lanczos halted after 1118 iterations (dim = 70597)
Wed Aug 13 14:12:54 2008  recovered 16 nontrivial dependencies
Wed Aug 13 14:12:54 2008  prp43 factor: 1655570577258704683443960244245536278805161
Wed Aug 13 14:12:54 2008  prp51 factor: 937678728208859008823339976946357714452296342866939
Wed Aug 13 14:12:54 2008  elapsed time 03:27:24
software ソフトウェア
Msieve 1.36/QS
execution environment 実行環境
Opteron-2.2GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)

23×10136+319

c126

name 名前Sinkiti Sibata
date 日付August 14, 2008 01:30:52 UTC 2008 年 8 月 14 日 (木) 10 時 30 分 52 秒 (日本時間)
composite number 合成数
504609076331431584228366233423443440822540269199705375616028388572415036563660999834170097655998553802901539210099104791238491<126>
prime factors 素因数
4294379808444677906913969409355254559<37>
377963583243089172487553781282255778332803<42>
310888493269623289140455555332340572349264972183<48>
factorization results 素因数分解の結果
Number: 25559_136
N=504609076331431584228366233423443440822540269199705375616028388572415036563660999834170097655998553802901539210099104791238491
  ( 126 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=4294379808444677906913969409355254559 (pp37)
 r2=377963583243089172487553781282255778332803 (pp42)
 r3=310888493269623289140455555332340572349264972183 (pp48)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 11.32 hours.
Scaled time: 11.19 units (timescale=0.988).
Factorization parameters were as follows:
name: 25559_136
n: 504609076331431584228366233423443440822540269199705375616028388572415036563660999834170097655998553802901539210099104791238491
m: 1000000000000000000000000000
c5: 230
c0: 31
skew: 0.67
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 2275001)
Primes: RFBsize:78498, AFBsize:63729, largePrimes:1760780 encountered
Relations: rels:1843501, finalFF:205262
Max relations in full relation-set: 28
Initial matrix: 142294 x 205262 with sparse part having weight 24445222.
Pruned matrix : 129188 x 129963 with weight 14345545.
Total sieving time: 11.15 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 11.32 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)

23×10137+319

c122

name 名前Sinkiti Sibata
date 日付August 14, 2008 07:09:21 UTC 2008 年 8 月 14 日 (木) 16 時 9 分 21 秒 (日本時間)
composite number 合成数
22384632372229190609714858716588723245099169836977091812409926831894009881923370879370091085934184452345263599880489627999<122>
prime factors 素因数
305762271390977651319812135780994171599831<42>
73209268986643556707742394636801129517180084446760232905412721334096208230335929<80>
factorization results 素因数分解の結果
Number: 25559_137
N=22384632372229190609714858716588723245099169836977091812409926831894009881923370879370091085934184452345263599880489627999
  ( 122 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=305762271390977651319812135780994171599831 (pp42)
 r2=73209268986643556707742394636801129517180084446760232905412721334096208230335929 (pp80)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 17.38 hours.
Scaled time: 13.37 units (timescale=0.769).
Factorization parameters were as follows:
name: 25559_137
n: 22384632372229190609714858716588723245099169836977091812409926831894009881923370879370091085934184452345263599880489627999
m: 1000000000000000000000000000
c5: 2300
c0: 31
skew: 0.42
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 2725001)
Primes: RFBsize:78498, AFBsize:64019, largePrimes:1757390 encountered
Relations: rels:1826972, finalFF:174401
Max relations in full relation-set: 28
Initial matrix: 142584 x 174401 with sparse part having weight 21121949.
Pruned matrix : 135557 x 136333 with weight 15350591.
Total sieving time: 17.08 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,138,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 17.38 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)

23×10138+319

c128

name 名前Sinkiti Sibata
date 日付August 14, 2008 09:54:00 UTC 2008 年 8 月 14 日 (木) 18 時 54 分 0 秒 (日本時間)
composite number 合成数
28822330134622000820620584010253028421676120212058138406067842081365878773742408071645154741613441781555667878148540074531667831<128>
prime factors 素因数
1279333927545199012128258534852861478951245004473500538855514499<64>
22529168901137974895314002117395908892469523921646148358021532669<65>
factorization results 素因数分解の結果
Number: 25559_138
N=28822330134622000820620584010253028421676120212058138406067842081365878773742408071645154741613441781555667878148540074531667831
  ( 128 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=1279333927545199012128258534852861478951245004473500538855514499 (pp64)
 r2=22529168901137974895314002117395908892469523921646148358021532669 (pp65)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 14.19 hours.
Scaled time: 14.19 units (timescale=1.000).
Factorization parameters were as follows:
name: 25559_138
n: 28822330134622000820620584010253028421676120212058138406067842081365878773742408071645154741613441781555667878148540074531667831
m: 1000000000000000000000000000
c5: 23000
c0: 31
skew: 0.27
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 2875001)
Primes: RFBsize:78498, AFBsize:63914, largePrimes:1802628 encountered
Relations: rels:1904248, finalFF:193118
Max relations in full relation-set: 28
Initial matrix: 142479 x 193118 with sparse part having weight 24230890.
Pruned matrix : 132213 x 132989 with weight 15653467.
Total sieving time: 14.00 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,139,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 14.19 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)

23×10141+319

c112

name 名前Sinkiti Sibata
date 日付August 14, 2008 05:51:51 UTC 2008 年 8 月 14 日 (木) 14 時 51 分 51 秒 (日本時間)
composite number 合成数
2480951056153949701228703243919926546283721927193703106236404703317962887038008437037078659456775758113596985441<112>
prime factors 素因数
76194565446367493174455763880460463<35>
32560735029065341214128814187400511581285961062243794359923482842555071079407<77>
factorization results 素因数分解の結果
Number: 25559_141
N=2480951056153949701228703243919926546283721927193703106236404703317962887038008437037078659456775758113596985441
  ( 112 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=76194565446367493174455763880460463 (pp35)
 r2=32560735029065341214128814187400511581285961062243794359923482842555071079407 (pp77)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 14.76 hours.
Scaled time: 14.76 units (timescale=1.000).
Factorization parameters were as follows:
name: 25559_141
n: 2480951056153949701228703243919926546283721927193703106236404703317962887038008437037078659456775758113596985441
m: 10000000000000000000000000000
c5: 230
c0: 31
skew: 0.67
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 2750001)
Primes: RFBsize:100021, AFBsize:99799, largePrimes:3038180 encountered
Relations: rels:3144558, finalFF:307864
Max relations in full relation-set: 28
Initial matrix: 199887 x 307864 with sparse part having weight 38526056.
Pruned matrix : 175685 x 176748 with weight 21820711.
Total sieving time: 14.44 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 14.76 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)

23×10142+319

c135

name 名前Sinkiti Sibata
date 日付August 15, 2008 03:15:13 UTC 2008 年 8 月 15 日 (金) 12 時 15 分 13 秒 (日本時間)
composite number 合成数
522564117520971185321532008857316382834716625304921558616004566228875399509639918629314683265356943316359155746047898131587220323712703<135>
prime factors 素因数
444194718344280895043997630773<30>
1176430281451362767142572801287387880687088852707840173878701242816842277224993751011294270542540793205411<106>
factorization results 素因数分解の結果
Number: 25559_142
N=522564117520971185321532008857316382834716625304921558616004566228875399509639918629314683265356943316359155746047898131587220323712703
  ( 135 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=444194718344280895043997630773 (pp30)
 r2=1176430281451362767142572801287387880687088852707840173878701242816842277224993751011294270542540793205411 (pp106)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 16.94 hours.
Scaled time: 16.94 units (timescale=1.000).
Factorization parameters were as follows:
name: 25559_142
n: 522564117520971185321532008857316382834716625304921558616004566228875399509639918629314683265356943316359155746047898131587220323712703
m: 10000000000000000000000000000
c5: 2300
c0: 31
skew: 0.42
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 3150001)
Primes: RFBsize:100021, AFBsize:100199, largePrimes:3033286 encountered
Relations: rels:3111625, finalFF:248898
Max relations in full relation-set: 28
Initial matrix: 200287 x 248898 with sparse part having weight 31797235.
Pruned matrix : 188622 x 189687 with weight 23055159.
Total sieving time: 16.58 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.25 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,143,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 16.94 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)

23×10147+319

c111

name 名前Sinkiti Sibata
date 日付August 15, 2008 13:08:28 UTC 2008 年 8 月 15 日 (金) 22 時 8 分 28 秒 (日本時間)
composite number 合成数
193768415111428505634206429615235537385350691524879778259506099811343404692477670800012264250391853206194545013<111>
prime factors 素因数
75103645093403353316146749218224397401074883<44>
2580013458340758255133834372880389552639163595586137327515941451111<67>
factorization results 素因数分解の結果
Number: 25559_147
N=193768415111428505634206429615235537385350691524879778259506099811343404692477670800012264250391853206194545013
  ( 111 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=75103645093403353316146749218224397401074883 (pp44)
 r2=2580013458340758255133834372880389552639163595586137327515941451111 (pp67)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 37.50 hours.
Scaled time: 37.92 units (timescale=1.011).
Factorization parameters were as follows:
name: 25559_147
n: 193768415111428505634206429615235537385350691524879778259506099811343404692477670800012264250391853206194545013
m: 100000000000000000000000000000
c5: 2300
c0: 31
skew: 0.42
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [750000, 6050001)
Primes: RFBsize:114155, AFBsize:114273, largePrimes:3381300 encountered
Relations: rels:3629815, finalFF:298783
Max relations in full relation-set: 28
Initial matrix: 228495 x 298783 with sparse part having weight 41916253.
Pruned matrix : 212196 x 213402 with weight 29855920.
Total sieving time: 36.99 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.37 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 37.50 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)

23×10149+319

c131

name 名前Sinkiti Sibata
date 日付August 14, 2008 20:57:09 UTC 2008 年 8 月 15 日 (金) 5 時 57 分 9 秒 (日本時間)
composite number 合成数
62314948671259774341306738441476012012330414940443595705313775103277218363502467421308755586346875644340628426542897274022928318613<131>
prime factors 素因数
3361584197264652895273596117265271<34>
18537375539177608834436534677836482023113574981058078117740700688664556806167695348972239081086803<98>
factorization results 素因数分解の結果
Number: 25559_149
N=62314948671259774341306738441476012012330414940443595705313775103277218363502467421308755586346875644340628426542897274022928318613
  ( 131 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=3361584197264652895273596117265271 (pp34)
 r2=18537375539177608834436534677836482023113574981058078117740700688664556806167695348972239081086803 (pp98)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 24.35 hours.
Scaled time: 24.57 units (timescale=1.009).
Factorization parameters were as follows:
name: 25559_149
n: 62314948671259774341306738441476012012330414940443595705313775103277218363502467421308755586346875644340628426542897274022928318613
m: 1000000000000000000000000000000
c5: 23
c0: 310
skew: 1.68
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2100001)
Primes: RFBsize:176302, AFBsize:176064, largePrimes:5968072 encountered
Relations: rels:6262049, finalFF:824133
Max relations in full relation-set: 28
Initial matrix: 352431 x 824133 with sparse part having weight 71719533.
Pruned matrix : 215298 x 217124 with weight 31813327.
Total sieving time: 23.81 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.40 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 24.35 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)

23×10151+319

c143

name 名前Serge Batalov
date 日付August 14, 2008 04:56:36 UTC 2008 年 8 月 14 日 (木) 13 時 56 分 36 秒 (日本時間)
composite number 合成数
19434429095192338299177336450672880524220700959161769062309694928048433243091496822965449156525333094219553527653659099256810016461425335000661<143>
prime factors 素因数
28491347801258535159984087380636957<35>
682116873892988320832073056144143663626338689069642201544762686263040341183467097296639486409774086795960473<108>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=992841147
Step 1 took 20969ms
Step 2 took 17002ms
********** Factor found in step 2: 28491347801258535159984087380636957
Found probable prime factor of 35 digits: 28491347801258535159984087380636957
Probable prime cofactor 682116873892988320832073056144143663626338689069642201544762686263040341183467097296639486409774086795960473 has 108 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)

23×10153+319

c132

name 名前Serge Batalov
date 日付August 14, 2008 05:40:44 UTC 2008 年 8 月 14 日 (木) 14 時 40 分 44 秒 (日本時間)
composite number 合成数
110452778885383847962219177156798865205444781458924870912621535370906490498277902361841119309785225804115922960147294502448489901731<132>
prime factors 素因数
148492579562995654158351194371<30>
751293507943332722148018478605683<33>
990061696833602124338231060672328983775827259228387769290559186187867<69>
factorization results 素因数分解の結果
#ECM, then gnfs/Msieve
#
Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=3707587740
Step 1 took 5072ms
Step 2 took 4844ms
********** Factor found in step 2: 148492579562995654158351194371
Found probable prime factor of 30 digits: 148492579562995654158351194371
Composite cofactor 743826925294445331005247766856880519633040968045235123810908647040711559143705680259634454974251848161 has 102 digits

Number: 25559_153
N=743826925294445331005247766856880519633040968045235123810908647040711559143705680259634454974251848161
  ( 102 digits)
Divisors found:
 r1=751293507943332722148018478605683
 r2=990061696833602124338231060672328983775827259228387769290559186187867
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.948).
Factorization parameters were as follows:
name: 25559_153
n: 743826925294445331005247766856880519633040968045235123810908647040711559143705680259634454974251848161
skew: 7667.78
# norm 1.63e+14
c5: 79380
c4: -1220023119
c3: -11990119136399
c2: 43162577465978701
c1: -50323790623128607716
c0: 595649923520302040373
# alpha -5.39
Y1: 40114117769
Y0: -24794440917443004098
# Murphy_E 2.51e-09
# M 108954050070074233826012025933116688514356381169118919916758488143137004054206742903805050301638526229
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1950001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 269347 x 269595
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000

total time: 5.10 hours.
software ソフトウェア
GMP-ECM 6.2.1+pol51+Msieve 1.36
execution environment 実行環境
Opteron-2.8GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)

23×10154+319

c155

name 名前Serge Batalov
date 日付August 14, 2008 18:42:27 UTC 2008 年 8 月 15 日 (金) 3 時 42 分 27 秒 (日本時間)
composite number 合成数
25555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559<155>
prime factors 素因数
24004480982001907880256277793174862134905775836273857482990834610803<68>
1064616042926177540280830726352520704884408223688229599012984589433059561384926047461053<88>
factorization results 素因数分解の結果
Number: 25559_154
N=25555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559
  ( 155 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=24004480982001907880256277793174862134905775836273857482990834610803
 r2=1064616042926177540280830726352520704884408223688229599012984589433059561384926047461053
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.950).
Factorization parameters were as follows:
n: 25555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559
Y1: 1
Y0: -10000000000000000000000000000000
c5: 23
c0: 310
skew: 1.68
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1500000, 2200001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 536384 x 536632
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,52,52,2.5,2.5,100000
total time: 12.00 hours.
software ソフトウェア
Msieve 1.36
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6904Serge BatalovAugust 14, 2008 00:22:16 UTC 2008 年 8 月 14 日 (木) 9 時 22 分 16 秒 (日本時間)

23×10156+319

c117

name 名前Sinkiti Sibata
date 日付August 15, 2008 14:23:01 UTC 2008 年 8 月 15 日 (金) 23 時 23 分 1 秒 (日本時間)
composite number 合成数
601009600288561901917388771431808879676434281891754853211007016430854322163937732912532470157987210701592422321595709<117>
prime factors 素因数
2246093478334450292669536908800692657<37>
267579958753199187375886538609657583415035345954915647058260946016914480850748237<81>
factorization results 素因数分解の結果
Number: 25559_156
N=601009600288561901917388771431808879676434281891754853211007016430854322163937732912532470157987210701592422321595709
  ( 117 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=2246093478334450292669536908800692657 (pp37)
 r2=267579958753199187375886538609657583415035345954915647058260946016914480850748237 (pp81)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 60.72 hours.
Scaled time: 46.39 units (timescale=0.764).
Factorization parameters were as follows:
name: 25559_156
n: 601009600288561901917388771431808879676434281891754853211007016430854322163937732912532470157987210701592422321595709
m: 10000000000000000000000000000000
c5: 230
c0: 31
skew: 0.67
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 3600001)
Primes: RFBsize:216816, AFBsize:217007, largePrimes:5989157 encountered
Relations: rels:6100315, finalFF:603185
Max relations in full relation-set: 28
Initial matrix: 433890 x 603185 with sparse part having weight 65102898.
Pruned matrix : 365549 x 367782 with weight 42219288.
Total sieving time: 58.23 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 2.14 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 60.72 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)

23×10157+319

c158

name 名前Serge Batalov
date 日付August 15, 2008 01:56:58 UTC 2008 年 8 月 15 日 (金) 10 時 56 分 58 秒 (日本時間)
composite number 合成数
25555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559<158>
prime factors 素因数
49305565416638237546855293608378285511055783935823<50>
518309755493277331341705329873406123057615376398129738348359754423513248803380888816255348102631292457305833<108>
factorization results 素因数分解の結果
Number: 25559_157
N=25555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559
  ( 158 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=49305565416638237546855293608378285511055783935823
 r2=518309755493277331341705329873406123057615376398129738348359754423513248803380888816255348102631292457305833
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.707).
Factorization parameters were as follows:
n: 25555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559
Y1: 1
Y0: -10000000000000000000000000000000
c5: 2300
c0: 31
skew: 0.42
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2000000, 5300001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 775626 x 775874
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,52,52,2.5,2.5,100000
total time: 23.00 hours.
software ソフトウェア
Msieve 1.36
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6904Serge BatalovAugust 14, 2008 00:22:30 UTC 2008 年 8 月 14 日 (木) 9 時 22 分 30 秒 (日本時間)

23×10159+319

c155

name 名前Serge Batalov
date 日付August 14, 2008 23:04:19 UTC 2008 年 8 月 15 日 (金) 8 時 4 分 19 秒 (日本時間)
composite number 合成数
10869755284000712677868185785857314140181090123031451873213283975192382853575416961449703988207733311026705098340566446577752068443540836961704906938353837<155>
prime factors 素因数
89402830646845862862212588779611774210792761685868432636233023487881<68>
121581779965533991572064099812148849337116961553860068777860822932046094064865597027077<87>
factorization results 素因数分解の結果
Number: 25559_159
N=10869755284000712677868185785857314140181090123031451873213283975192382853575416961449703988207733311026705098340566446577752068443540836961704906938353837
  ( 155 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=89402830646845862862212588779611774210792761685868432636233023487881
 r2=121581779965533991572064099812148849337116961553860068777860822932046094064865597027077
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.725).
Factorization parameters were as follows:
n: 10869755284000712677868185785857314140181090123031451873213283975192382853575416961449703988207733311026705098340566446577752068443540836961704906938353837
Y1: 1
Y0: -100000000000000000000000000000000
c5: 23
c0: 310
skew: 1.68
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2000000, 3100001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 612972 x 613220
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,52,52,2.5,2.5,100000
total time: 17.20 hours.
software ソフトウェア
Msieve 1.36
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6904Serge BatalovAugust 14, 2008 00:24:26 UTC 2008 年 8 月 14 日 (木) 9 時 24 分 26 秒 (日本時間)

23×10163+319

c136

name 名前Serge Batalov
date 日付August 14, 2008 05:12:18 UTC 2008 年 8 月 14 日 (木) 14 時 12 分 18 秒 (日本時間)
composite number 合成数
3803069120480595001561079429619165155356578020530533460904857959486244959299917920971164591016950092724744253386319687998371621911519107<136>
prime factors 素因数
15917843362328931372400174231396061<35>
composite cofactor 合成数の残り
238918616920236482284688193493767802557297554431710259935973434002654087902904166343115871840121233887<102>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=1299556071
Step 1 took 21215ms
Step 2 took 16597ms
********** Factor found in step 2: 15917843362328931372400174231396061
Found probable prime factor of 35 digits: 15917843362328931372400174231396061
Composite cofactor 238918616920236482284688193493767802557297554431710259935973434002654087902904166343115871840121233887 has 102 digits
software ソフトウェア
GMP-ECM 6.2.1

c102

name 名前Serge Batalov
date 日付August 15, 2008 07:03:25 UTC 2008 年 8 月 15 日 (金) 16 時 3 分 25 秒 (日本時間)
composite number 合成数
238918616920236482284688193493767802557297554431710259935973434002654087902904166343115871840121233887<102>
prime factors 素因数
4777261969155687481306587205398516207932071267<46>
50011621397949403287827699425161427247300887932441419861<56>
factorization results 素因数分解の結果
N=238918616920236482284688193493767802557297554431710259935973434002654087902904166343115871840121233887
  ( 102 digits)
Divisors found:
 r1=4777261969155687481306587205398516207932071267
 r2=50011621397949403287827699425161427247300887932441419861
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.718).
Factorization parameters were as follows:
name: 25559_163
n: 238918616920236482284688193493767802557297554431710259935973434002654087902904166343115871840121233887
skew: 26690.28
# norm 3.49e+14
c5: 11340
c4: 172695024
c3: -21952003729623
c2: -183405417277364978
c1: 2326716827805210224682
c0: 34516205836374053444042628
# alpha -7.10
Y1: 46579288979
Y0: -29155820963474000399
# Murphy_E 2.89e-09
# M 60712994758916835332065667762407420644104045750246852901951305449959008087828470303990127529380791560
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1750001)
Primes: rational ideals filtering, algebraic ideals filtering,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 215230 x 215478
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000

total time: 4.50 hours.
software ソフトウェア
Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)

23×10164+319

c107

name 名前Sinkiti Sibata
date 日付August 16, 2008 04:32:23 UTC 2008 年 8 月 16 日 (土) 13 時 32 分 23 秒 (日本時間)
composite number 合成数
42244116800604268366529850193804123484513381418170860149158312723787899125249545685537409884760891425292669<107>
prime factors 素因数
20314652098684047620712717838258567099838687<44>
2079490044692460090839907111629368942340721746105913902433258787<64>
factorization results 素因数分解の結果
Number: 25559_164
N=42244116800604268366529850193804123484513381418170860149158312723787899125249545685537409884760891425292669
  ( 107 digits)
Divisors found:
 r1=20314652098684047620712717838258567099838687 (pp44)
 r2=2079490044692460090839907111629368942340721746105913902433258787 (pp64)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 18.02 hours.
Scaled time: 13.97 units (timescale=0.775).
Factorization parameters were as follows:
name: 25559_164
n: 42244116800604268366529850193804123484513381418170860149158312723787899125249545685537409884760891425292669
skew: 16965.36
# norm 7.81e+14
c5: 37380
c4: -2072117878
c3: 459849219343
c2: 650402933349225612
c1: 3693541153055369233838
c0: -99725642052992786755340
# alpha -6.01
Y1: 244617478073
Y0: -257412696036039939867
# Murphy_E 1.59e-09
# M 14173624692086331959785602197541481713292728257386366262229978088003544278931180429090516706414989995363285
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2600001)
Primes: RFBsize:183072, AFBsize:182751, largePrimes:4603461 encountered
Relations: rels:4871820, finalFF:586406
Max relations in full relation-set: 28
Initial matrix: 365902 x 586406 with sparse part having weight 48127292.
Pruned matrix : 228725 x 230618 with weight 25556880.
Total sieving time: 17.12 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.56 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 18.02 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)

23×10165+319

c165

name 名前Serge Batalov
date 日付August 16, 2008 03:08:08 UTC 2008 年 8 月 16 日 (土) 12 時 8 分 8 秒 (日本時間)
composite number 合成数
851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851853<165>
prime factors 素因数
352723018532378683493559904773387908384026434468579905407<57>
2415073037751447362227275468798835152491591313608019272430734224422879445896978821428462796498802433657712179<109>
factorization results 素因数分解の結果
Number: 25559_165
N=851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851853
  ( 165 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=352723018532378683493559904773387908384026434468579905407
 r2=2415073037751447362227275468798835152491591313608019272430734224422879445896978821428462796498802433657712179
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.740).
Factorization parameters were as follows:
n: 851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851853
Y1: 1
Y0: -1000000000000000000000000000000000
c5: 23
c0: 31
skew: 1.06
type: snfs
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2500000, 4600001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 874652 x 874900
Total sieving time: 0.00 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 3.00 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.5,2.5,100000

total time: 32.00 hours.
software ソフトウェア
Msieve 1.36
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6904Serge BatalovAugust 14, 2008 00:22:45 UTC 2008 年 8 月 14 日 (木) 9 時 22 分 45 秒 (日本時間)

23×10166+319

c162

name 名前Robert Backstrom
date 日付August 18, 2008 02:55:37 UTC 2008 年 8 月 18 日 (月) 11 時 55 分 37 秒 (日本時間)
composite number 合成数
826425494148548185996040343936731738691445058873833572278095771935308849579780601997075172381578616419996622434936958107413755313376954226807087137585472158443733<162>
prime factors 素因数
18196127155026565765210313040636762315634917977595426793<56>
45417658774727419799492427840630036712482623752503343649034406587180499821842694832789683367090599801389581<107>
factorization results 素因数分解の結果
Number: n
N=826425494148548185996040343936731738691445058873833572278095771935308849579780601997075172381578616419996622434936958107413755313376954226807087137585472158443733
  ( 162 digits)
SNFS difficulty: 167 digits.
Divisors found:

Mon Aug 18 12:45:53 2008  prp56 factor: 18196127155026565765210313040636762315634917977595426793
Mon Aug 18 12:45:57 2008  prp107 factor: 45417658774727419799492427840630036712482623752503343649034406587180499821842694832789683367090599801389581
Mon Aug 18 12:45:57 2008  elapsed time 01:29:48 (Msieve 1.36)

Version: GGNFS-0.77.1-20050930-k8
Total time: 49.69 hours.
Scaled time: 41.59 units (timescale=0.837).
Factorization parameters were as follows:
name: KA_2_5_165_9
n: 826425494148548185996040343936731738691445058873833572278095771935308849579780601997075172381578616419996622434936958107413755313376954226807087137585472158443733
type: snfs
deg: 5
c5: 230
c0: 31
skew: 0.28
m: 1000000000000000000000000000000000
rlim: 6000000
alim: 6000000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 5700001)
Primes: RFBsize:412849, AFBsize:413297, largePrimes:5940623 encountered
Relations: rels:6154327, finalFF:881975
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 49.48 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.5,2.5,100000
total time: 49.69 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6045.69 BogoMIPS (lpj=3022848)
Total of 2 processors activated (12009.47 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)

23×10167+319

c131

name 名前Jo Yeong Uk
date 日付September 12, 2008 11:45:18 UTC 2008 年 9 月 12 日 (金) 20 時 45 分 18 秒 (日本時間)
composite number 合成数
87838806835495842387786872741538203556807416279684160572753784510959133212549527350596610907585322642508289465712809312178232883423<131>
prime factors 素因数
55483666228939118598781075378752414371<38>
1583147127896190823350447145282876632629418105166606868157240854518223554213826164611612094613<94>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 87838806835495842387786872741538203556807416279684160572753784510959133212549527350596610907585322642508289465712809312178232883423 (131 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3374304280
Step 1 took 3886ms
Step 2 took 2369ms
********** Factor found in step 2: 55483666228939118598781075378752414371
Found probable prime factor of 38 digits: 55483666228939118598781075378752414371
Probable prime cofactor 1583147127896190823350447145282876632629418105166606868157240854518223554213826164611612094613 has 94 digits
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)

23×10168+319

c148

name 名前Serge Batalov
date 日付October 6, 2008 23:26:06 UTC 2008 年 10 月 7 日 (火) 8 時 26 分 6 秒 (日本時間)
composite number 合成数
1199053564909158263764865435863424465914489971376071052470965230844971018946176597623262002158130529740670738185026088323656292700989789111057594719<148>
prime factors 素因数
4399881371891076411517211881007444147724161<43>
272519521223774045867200767539451361177012007095888916737879651496577799389203378273684289426752607226079<105>
factorization results 素因数分解の結果
SNFS difficulty: 169 digits.
Divisors found:
 r1=4399881371891076411517211881007444147724161
 r2=272519521223774045867200767539451361177012007095888916737879651496577799389203378273684289426752607226079
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.291).
Factorization parameters were as follows:
n: 1199053564909158263764865435863424465914489971376071052470965230844971018946176597623262002158130529740670738185026088323656292700989789111057594719
Y1: 1
Y0: -1000000000000000000000000000000000
c5: 23000
c0: 31
skew: 0.27
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [3000000, 6100001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1069246 x 1069494
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,54,54,2.6,2.6,100000
total time: 30.00 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)

23×10170+319

c114

name 名前Jo Yeong Uk
date 日付August 16, 2008 07:06:32 UTC 2008 年 8 月 16 日 (土) 16 時 6 分 32 秒 (日本時間)
composite number 合成数
769291742872614091219688752614724603405832009110180438834256123590702076321274183344961360080414224048366601226439<114>
prime factors 素因数
36980604693757519861771088341660957144857651838787<50>
20802573382540544081050343846624872121634029784960968772855844397<65>
factorization results 素因数分解の結果
Number: 25559_170
N=769291742872614091219688752614724603405832009110180438834256123590702076321274183344961360080414224048366601226439
  ( 114 digits)
Divisors found:
 r1=36980604693757519861771088341660957144857651838787 (pp50)
 r2=20802573382540544081050343846624872121634029784960968772855844397 (pp65)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 19.66 hours.
Scaled time: 46.86 units (timescale=2.383).
Factorization parameters were as follows:
name: 25559_170
n: 769291742872614091219688752614724603405832009110180438834256123590702076321274183344961360080414224048366601226439
skew: 46401.47
# norm 1.16e+16
c5: 59280
c4: -555799160
c3: -633544502641438
c2: 2986793278184410387
c1: 397242036976346980316280
c0: -1036910798119627579106192689
# alpha -6.47
Y1: 467621825129
Y0: -6647167652001661320280
# Murphy_E 5.90e-10
# M 68984389221729131535103752351912674335008154275451042128487769092207973153624902851094592364583691152142341444552
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 70000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2870001)
Primes: RFBsize:250150, AFBsize:249788, largePrimes:7423751 encountered
Relations: rels:7272702, finalFF:578183
Max relations in full relation-set: 28
Initial matrix: 500021 x 578183 with sparse part having weight 47872572.
Pruned matrix : 436944 x 439508 with weight 31525107.
Polynomial selection time: 1.19 hours.
Total sieving time: 17.17 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.05 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.4,2.4,70000
total time: 19.66 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047092k/8912896k available (2459k kernel code, 339200k reserved, 1247k data, 196k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673805)
Calibrating delay using timer specific routine.. 5344.73 BogoMIPS (lpj=2672366)
Calibrating delay using timer specific routine.. 5343.99 BogoMIPS (lpj=2671997)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6904Jo Yeong UkAugust 15, 2008 10:19:28 UTC 2008 年 8 月 15 日 (金) 19 時 19 分 28 秒 (日本時間)

23×10171+319

c169

name 名前Serge Batalov
date 日付August 18, 2008 19:31:59 UTC 2008 年 8 月 19 日 (火) 4 時 31 分 59 秒 (日本時間)
composite number 合成数
2454904472195538477959227238766143665279111964990927526950581705624933290639342512541359803607642224356921763261820898708506777671042800725797843953463550005336748852599<169>
prime factors 素因数
2507406786358400630053956114754671784954141033<46>
979061110287926914452686823674334926754673406716505690256590865236353645010621985257918365427531665179753798361452391361503<123>
factorization results 素因数分解の結果
Number: 25559_171
N=2454904472195538477959227238766143665279111964990927526950581705624933290639342512541359803607642224356921763261820898708506777671042800725797843953463550005336748852599
  ( 169 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=2507406786358400630053956114754671784954141033
 r2=979061110287926914452686823674334926754673406716505690256590865236353645010621985257918365427531665179753798361452391361503
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.721).
Factorization parameters were as follows:
n: 2454904472195538477959227238766143665279111964990927526950581705624933290639342512541359803607642224356921763261820898708506777671042800725797843953463550005336748852599
Y1: 1
Y0: -10000000000000000000000000000000000
c5: 230
c0: 31
skew: 0.67
type: snfs
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [4500000, 10000001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1302887 x 1303135
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 7.15 hours.
Time per square root: 2.70 hours.
Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,9000000,9000000,27,27,52,52,2.6,2.6,100000
total time: 84.00 hours.
software ソフトウェア
Msieve v.1.36
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)

23×10172+319

c166

name 名前Ignacio Santos
date 日付September 24, 2009 13:35:13 UTC 2009 年 9 月 24 日 (木) 22 時 35 分 13 秒 (日本時間)
composite number 合成数
2114355350382189494207682149805919185606211556825492536091195492459147046437246425018096813408167907319825599513279075481759773545555408561894457245946806073653053831<166>
prime factors 素因数
174631780230614695944104960370984977291<39>
12107506134278770155177928819140151041059023958173485072036790346524085153258724473425765312615846580779575809523040588323053941<128>
factorization results 素因数分解の結果
Number: 25559_172
N=2114355350382189494207682149805919185606211556825492536091195492459147046437246425018096813408167907319825599513279075481759773545555408561894457245946806073653053831
  ( 166 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=174631780230614695944104960370984977291 (pp39)
 r2=12107506134278770155177928819140151041059023958173485072036790346524085153258724473425765312615846580779575809523040588323053941 (pp128)
Version: Msieve-1.40
Total time: 91.32 hours.
Scaled time: 158.81 units (timescale=1.739).
Factorization parameters were as follows:
n: 2114355350382189494207682149805919185606211556825492536091195492459147046437246425018096813408167907319825599513279075481759773545555408561894457245946806073653053831
m: 20000000000000000000000000000000000
deg: 5
c5: 575
c0: 248
skew: 0.85
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2800000, 7800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1172139 x 1172368
Total sieving time: 89.23 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.83 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 91.32 hours.
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
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)
351e61200Dmitry DomanovAugust 15, 2009 18:03:59 UTC 2009 年 8 月 16 日 (日) 3 時 3 分 59 秒 (日本時間)
403e6475 / 2009Dmitry DomanovAugust 15, 2009 18:03:59 UTC 2009 年 8 月 16 日 (日) 3 時 3 分 59 秒 (日本時間)

23×10173+319

c155

name 名前Robert Backstrom
date 日付June 13, 2010 02:46:06 UTC 2010 年 6 月 13 日 (日) 11 時 46 分 6 秒 (日本時間)
composite number 合成数
10068374550107308043099355936008121532434835253633953237886996006431852074846825744920680119293695257773279108704054864259691682025857149349084370167498979<155>
prime factors 素因数
72373002987280296530029258273611042804541<41>
139117822040310327966358717313653888199064525069064251490938635808129520858448713313872821928307035052699155074719<114>
factorization results 素因数分解の結果
Number: n
N=10068374550107308043099355936008121532434835253633953237886996006431852074846825744920680119293695257773279108704054864259691682025857149349084370167498979
  ( 155 digits)
SNFS difficulty: 174 digits.
Divisors found:

Sun Jun 13 04:13:04 2010  prp41 factor: 72373002987280296530029258273611042804541
Sun Jun 13 04:13:04 2010  prp114 factor: 139117822040310327966358717313653888199064525069064251490938635808129520858448713313872821928307035052699155074719
Sun Jun 13 04:13:04 2010  elapsed time 02:18:38 (Msieve 1.42 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=0.883).
Factorization parameters were as follows:
name: KA_2_5_172_9
n: 10068374550107308043099355936008121532434835253633953237886996006431852074846825744920680119293695257773279108704054864259691682025857149349084370167498979
m: 10000000000000000000000000000000000
deg: 5
c5: 23000
c0: 31
skew: 0.27
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 11000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1641473 hash collisions in 12094578 relations
Msieve: matrix is 1031057 x 1031282 (291.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2034148k/2097088k available (3972k kernel code, 388k absent, 62552k reserved, 2498k data, 1292k init)
VBoxDrv: dbg - g_abExecMemory=ffffffffa02c4440
Calibrating delay loop (skipped), value calculated using timer frequency.. 6026.43 BogoMIPS (lpj=3013215)
Calibrating delay using timer specific routine.. 6026.96 BogoMIPS (lpj=3013483)
Total of 2 processors activated (12053.39 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiFebruary 14, 2010 07:31:03 UTC 2010 年 2 月 14 日 (日) 16 時 31 分 3 秒 (日本時間)

23×10175+319

c146

name 名前Wataru Sakai
date 日付July 19, 2010 04:16:54 UTC 2010 年 7 月 19 日 (月) 13 時 16 分 54 秒 (日本時間)
composite number 合成数
67472910350885296866382233228303185151104132649694482055501474044296917619318175290587491955542212878502421309781098955050908147166899733149360813<146>
prime factors 素因数
44844420745859331223798297377009377346613<41>
1504599886199117571071392519150539264836294533650335710372359372000119407172365253264394520190462049813401<106>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1610136159
Step 1 took 13238ms
********** Factor found in step 1: 44844420745859331223798297377009377346613
Found probable prime factor of 41 digits: 44844420745859331223798297377009377346613
Probable prime cofactor 1504599886199117571071392519150539264836294533650335710372359372000119407172365253264394520190462049813401 has 106 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJuly 16, 2010 18:05:13 UTC 2010 年 7 月 17 日 (土) 3 時 5 分 13 秒 (日本時間)
403e6110 / 2144Ignacio SantosJuly 16, 2010 18:05:13 UTC 2010 年 7 月 17 日 (土) 3 時 5 分 13 秒 (日本時間)
4511e632 / 4441Ignacio SantosJuly 16, 2010 18:05:13 UTC 2010 年 7 月 17 日 (土) 3 時 5 分 13 秒 (日本時間)

23×10176+319

c159

name 名前Robert Backstrom
date 日付January 8, 2012 17:27:04 UTC 2012 年 1 月 9 日 (月) 2 時 27 分 4 秒 (日本時間)
composite number 合成数
194298208889632778544337295965112825338604769078466010518702361313533102240954805513064492335988090145355902435977508461373722368426942088485843231705713988247<159>
prime factors 素因数
40065383415945217015732201369406237278113353203357131288817637<62>
4849528254166313509125948310054074827696482277968901617558069946110275786686322494801163620579531<97>
factorization results 素因数分解の結果
Number: n
N=194298208889632778544337295965112825338604769078466010518702361313533102240954805513064492335988090145355902435977508461373722368426942088485843231705713988247
  ( 159 digits)
SNFS difficulty: 177 digits.
Divisors found:

Mon Jan  9 03:04:43 2012  prp62 factor: 40065383415945217015732201369406237278113353203357131288817637
Mon Jan  9 03:04:43 2012  prp97 factor: 4849528254166313509125948310054074827696482277968901617558069946110275786686322494801163620579531
Mon Jan  9 03:04:43 2012  elapsed time 02:57:43 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.650).
Factorization parameters were as follows:
name: KA_25559_176
n: 194298208889632778544337295965112825338604769078466010518702361313533102240954805513064492335988090145355902435977508461373722368426942088485843231705713988247
m: 100000000000000000000000000000000000
deg: 5
c5: 230
c0: 31
skew: 0.67
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7414860 hash collisions in 75500098 relations
Msieve: matrix is 1143661 x 1143905 (318.3 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Dmitry DomanovApril 11, 2011 06:19:10 UTC 2011 年 4 月 11 日 (月) 15 時 19 分 10 秒 (日本時間)
2036Wataru SakaiOctober 6, 2011 13:57:46 UTC 2011 年 10 月 6 日 (木) 22 時 57 分 46 秒 (日本時間)

23×10177+319

c154

name 名前Erik Branger
date 日付December 7, 2008 11:26:33 UTC 2008 年 12 月 7 日 (日) 20 時 26 分 33 秒 (日本時間)
composite number 合成数
3456458762392985184684090100084040703301574082824617112870666857245245353646180549347304821656855905830979532981615933356972470985629517509741500370596959<154>
prime factors 素因数
519620774710320798463766416667482050915119<42>
6651887165827614470553363180110159612057894005166560172816585853798701521249789037346745006909602267998822481361<112>
factorization results 素因数分解の結果
Number: 25559_177
N=3456458762392985184684090100084040703301574082824617112870666857245245353646180549347304821656855905830979532981615933356972470985629517509741500370596959
  ( 154 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=519620774710320798463766416667482050915119
 r2=6651887165827614470553363180110159612057894005166560172816585853798701521249789037346745006909602267998822481361
Version: 
Total time: 210.17 hours.
Scaled time: 444.73 units (timescale=2.116).
Factorization parameters were as follows:
n: 3456458762392985184684090100084040703301574082824617112870666857245245353646180549347304821656855905830979532981615933356972470985629517509741500370596959
m: 200000000000000000000000000000000000
deg: 5
c5: 575
c0: 248
skew: 0.85
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3400000, 9900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1532523 x 1532771
Total sieving time: 210.17 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 210.17 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6825Erik BrangerNovember 21, 2008 15:30:50 UTC 2008 年 11 月 22 日 (土) 0 時 30 分 50 秒 (日本時間)
403e61000 / 2111Erik BrangerNovember 21, 2008 15:30:57 UTC 2008 年 11 月 22 日 (土) 0 時 30 分 57 秒 (日本時間)

23×10178+319

c161

name 名前Wataru Sakai
date 日付March 23, 2012 00:56:15 UTC 2012 年 3 月 23 日 (金) 9 時 56 分 15 秒 (日本時間)
composite number 合成数
82293994616718569402235197825571718091779931158433921574552623704372031602371884318781521254171690380351011351712084656625121471783092718816988136495477836566847<161>
prime factors 素因数
21691141967407161070650993908736484847<38>
composite cofactor 合成数の残り
3793898667961903416675307475202551712534740274626009090224687719144598328320808866120954589742996395003167064042653953006001<124>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3480642589
Step 1 took 18687ms
Step 2 took 7597ms
********** Factor found in step 2: 21691141967407161070650993908736484847
Found probable prime factor of 38 digits: 21691141967407161070650993908736484847
Composite cofactor 3793898667961903416675307475202551712534740274626009090224687719144598328320808866120954589742996395003167064042653953006001 has 124 digits
software ソフトウェア
GMP-ECM 6.3

c124

name 名前Warut Roonguthai
date 日付March 25, 2012 04:17:36 UTC 2012 年 3 月 25 日 (日) 13 時 17 分 36 秒 (日本時間)
composite number 合成数
3793898667961903416675307475202551712534740274626009090224687719144598328320808866120954589742996395003167064042653953006001<124>
prime factors 素因数
60787691320202286055088915596149716183155781840082423474839<59>
62412284223418641290663577617568458667735144913629339059674189559<65>
factorization results 素因数分解の結果
N = 3793898667961903416675307475202551712534740274626009090224687719144598328320808866120954589742996395003167064042653953006001 (124 digits)
Divisors found:
r1=60787691320202286055088915596149716183155781840082423474839 (pp59)
r2=62412284223418641290663577617568458667735144913629339059674189559 (pp65)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 14.36 hours.
Factorization parameters were as follows:
n: 3793898667961903416675307475202551712534740274626009090224687719144598328320808866120954589742996395003167064042653953006001
Y0: -961362440569445578420284
Y1: 18986128703107
c0: -101742632923318471681986628325
c1: 2263371769866506871403336
c2: -7867595663089718847
c3: -177222046881076
c4: 4308202772
c5: 4620
skew: 135327.84 
type: gnfs
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 11110371
Relations: 1691008 relations
Pruned matrix : 967673 x 967904
Polynomial selection time: 0.00 hours.
Total sieving time: 13.25 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.84 hours.
time per square root: 0.22 hours.
Prototype def-par.txt line would be: gnfs,123,5,65,2000,1e-05,0.28,250,20,50000,3600,5200000,5200000,27,27,53,53,2.5,2.5,100000
total time: 14.36 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Dmitry DomanovApril 11, 2011 06:19:20 UTC 2011 年 4 月 11 日 (月) 15 時 19 分 20 秒 (日本時間)
2036Wataru SakaiMarch 23, 2012 00:56:01 UTC 2012 年 3 月 23 日 (金) 9 時 56 分 1 秒 (日本時間)

23×10179+319

c128

name 名前Warut Roonguthai
date 日付February 19, 2012 16:37:03 UTC 2012 年 2 月 20 日 (月) 1 時 37 分 3 秒 (日本時間)
composite number 合成数
14009117617242443320413844367355374934116221108846238415053357563593116213672474360570467130404332008932365965860840616431565407<128>
prime factors 素因数
780239537591856603114248205966122364824299390034002025187041<60>
17954893263266818000710782282741446636614323788880223947689431083327<68>
factorization results 素因数分解の結果
N = 14009117617242443320413844367355374934116221108846238415053357563593116213672474360570467130404332008932365965860840616431565407 (128 digits)
Divisors found:
r1=780239537591856603114248205966122364824299390034002025187041 (pp60)
r2=17954893263266818000710782282741446636614323788880223947689431083327 (pp68)
Version: Msieve v. 1.48
Total time: 35.20 hours.
Factorization parameters were as follows:
n: 14009117617242443320413844367355374934116221108846238415053357563593116213672474360570467130404332008932365965860840616431565407
Y0: -4503801428070591162333761
Y1: 47706842208989
c0: -7937767932479632236874350521664
c1: -84688364927094541857855422
c2: 898827259379175359157
c3: 6032359853588028
c4: -11808254384
c5: 7560
skew: 270290.53 
type: gnfs
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19563282
Relations: 2170870 relations
Pruned matrix : 1230812 x 1231036
Polynomial selection time: 0.00 hours.
Total sieving time: 32.97 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.94 hours.
time per square root: 0.18 hours.
Prototype def-par.txt line would be: gnfs,127,5,65,2000,1e-05,0.28,250,20,50000,3600,6400000,6400000,28,28,55,55,2.5,2.5,100000
total time: 35.20 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61070300Dmitry DomanovApril 11, 2011 06:19:33 UTC 2011 年 4 月 11 日 (月) 15 時 19 分 33 秒 (日本時間)
770Ignacio SantosJune 22, 2011 22:53:22 UTC 2011 年 6 月 23 日 (木) 7 時 53 分 22 秒 (日本時間)
4511e6220 / 4028Ignacio SantosJune 22, 2011 22:53:22 UTC 2011 年 6 月 23 日 (木) 7 時 53 分 22 秒 (日本時間)
5043e661 / 7464Ignacio SantosJune 22, 2011 22:53:22 UTC 2011 年 6 月 23 日 (木) 7 時 53 分 22 秒 (日本時間)

23×10180+319

c156

name 名前Dmitry Domanov
date 日付May 27, 2013 06:21:17 UTC 2013 年 5 月 27 日 (月) 15 時 21 分 17 秒 (日本時間)
composite number 合成数
139996778183425267274113573543603976742850514862566730260426973179010372121236189772339168807902002916784906585187024699696739853357595251828259706635558089<156>
prime factors 素因数
174588248320488945513130832071089844574515927122877857481<57>
801868278822726648553049978494158527850308625974837976044653015101604870315833758644678581457939969<99>
factorization results 素因数分解の結果
N=139996778183425267274113573543603976742850514862566730260426973179010372121236189772339168807902002916784906585187024699696739853357595251828259706635558089
  ( 156 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=174588248320488945513130832071089844574515927122877857481 (pp57)
 r2=801868278822726648553049978494158527850308625974837976044653015101604870315833758644678581457939969 (pp99)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 122.11 hours.
Scaled time: 235.06 units (timescale=1.925).
Factorization parameters were as follows:
n: 139996778183425267274113573543603976742850514862566730260426973179010372121236189772339168807902002916784906585187024699696739853357595251828259706635558089
m: 1000000000000000000000000000000000000
deg: 5
c5: 23
c0: 31
skew: 1.06
# Murphy_E = 8.918e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3700000, 10100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1504166 x 1504393
Total sieving time: 119.63 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.18 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 122.11 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
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovApril 11, 2011 06:19:42 UTC 2011 年 4 月 11 日 (月) 15 時 19 分 42 秒 (日本時間)
4511e6600 / 4272Rich DickersonJuly 25, 2012 21:16:26 UTC 2012 年 7 月 26 日 (木) 6 時 16 分 26 秒 (日本時間)
5043e640 / 7407Rich DickersonJuly 25, 2012 23:31:16 UTC 2012 年 7 月 26 日 (木) 8 時 31 分 16 秒 (日本時間)

23×10182+319

c143

name 名前Dmitry Domanov
date 日付June 10, 2013 07:48:22 UTC 2013 年 6 月 10 日 (月) 16 時 48 分 22 秒 (日本時間)
composite number 合成数
52063039566897349137068081246097076422272896237542262606009422559818408809898444585306745176795721955523394562110527410590052230841844253011967<143>
prime factors 素因数
7754828581957510360676909773926505126368669781<46>
6713628678785747117134515457307860635764946578669160767062290044269130093339213416532429483893507<97>
factorization results 素因数分解の結果
N=52063039566897349137068081246097076422272896237542262606009422559818408809898444585306745176795721955523394562110527410590052230841844253011967
  ( 143 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=7754828581957510360676909773926505126368669781 (pp46)
 r2=6713628678785747117134515457307860635764946578669160767062290044269130093339213416532429483893507 (pp97)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 169.18 hours.
Scaled time: 325.50 units (timescale=1.924).
Factorization parameters were as follows:
n: 52063039566897349137068081246097076422272896237542262606009422559818408809898444585306745176795721955523394562110527410590052230841844253011967
m: 1000000000000000000000000000000000000
deg: 5
c5: 2300
c0: 31
skew: 0.42
# Murphy_E = 5.762e-11
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4000000, 12800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1790525 x 1790773
Total sieving time: 165.77 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 3.08 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,53,53,2.5,2.5,100000
total time: 169.18 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
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61300 / 2336300Dmitry DomanovApril 11, 2011 06:20:07 UTC 2011 年 4 月 11 日 (月) 15 時 20 分 7 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 16:05:49 UTC 2013 年 6 月 1 日 (土) 1 時 5 分 49 秒 (日本時間)

23×10183+319

c135

name 名前Robert Backstrom
date 日付June 3, 2012 05:17:11 UTC 2012 年 6 月 3 日 (日) 14 時 17 分 11 秒 (日本時間)
composite number 合成数
241174150393542306801916575844387104114899060570867890681637726950513441037745896701839147808266732765626543563459177280466804053056619<135>
prime factors 素因数
157012862804314633290819161044171269445573874957526370252787<60>
1536015241592773278861168307943393114059988285024652019387117593818895130537<76>
factorization results 素因数分解の結果
Number: n
N=241174150393542306801916575844387104114899060570867890681637726950513441037745896701839147808266732765626543563459177280466804053056619
  ( 135 digits)
Divisors found:

Sun Jun  3 10:49:17 2012  prp60 factor: 157012862804314633290819161044171269445573874957526370252787
Sun Jun  3 10:49:17 2012  prp76 factor: 1536015241592773278861168307943393114059988285024652019387117593818895130537
Sun Jun  3 10:49:17 2012  elapsed time 04:03:08 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.096).
Factorization parameters were as follows:
name: KA_25559_183
n: 241174150393542306801916575844387104114899060570867890681637726950513441037745896701839147808266732765626543563459177280466804053056619
skew: 520289.94
# norm 2.34e+18
c5: 11340
c4: 50261085467
c3: -14707631050929774
c2: -7592397109369295870176
c1: 2428816196896559358442937568
c0: 73083180450419610671025027987200
# alpha -5.74
Y1: 79035709976407
Y0: -116290243234581427883997249
# Murphy_E 3.95e-11
# M 29342618488056213802526464145525501022616473574647951861922280726058336774878859978213527074340404819735289660687237208054434867861468
type: gnfs
rlim: 20000000
alim: 20000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 15760000)
Primes: RFBsize:1270607, AFBsize:1269793, 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2313239 hash collisions in 25323230 relations (23987978 unique)
Msieve: matrix is 1593195 x 1593420 (458.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,134,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,20000000,20000000,28,28,56,56,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 4015340k/5242880k available (3972k kernel code, 1049604k absent, 177936k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.88 BogoMIPS (lpj=2830943)
Calibrating delay using timer specific routine.. 5660.88 BogoMIPS (lpj=2830444)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Total of 4 processors activated (22644.60 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61070300Dmitry DomanovApril 11, 2011 06:20:21 UTC 2011 年 4 月 11 日 (月) 15 時 20 分 21 秒 (日本時間)
770Ignacio SantosJuly 17, 2011 09:03:20 UTC 2011 年 7 月 17 日 (日) 18 時 3 分 20 秒 (日本時間)
4511e6220 / 4028Ignacio SantosJuly 17, 2011 09:03:20 UTC 2011 年 7 月 17 日 (日) 18 時 3 分 20 秒 (日本時間)
5043e661 / 7464Ignacio SantosJuly 17, 2011 09:03:20 UTC 2011 年 7 月 17 日 (日) 18 時 3 分 20 秒 (日本時間)

23×10185+319

c172

name 名前Dmitry Domanov
date 日付August 26, 2013 06:30:16 UTC 2013 年 8 月 26 日 (月) 15 時 30 分 16 秒 (日本時間)
composite number 合成数
3911969718918931956958152204352737128468944661208083543483800327512325132159973149224224471939912576664963652286683278001854546274594022904032058348389724716448665115674111<172>
prime factors 素因数
307500346452874885047706544240390668878120413808017046090389<60>
12721838411061595517531985019156734837738399209289399693551624852069451736338249483065831687469294434837294130499<113>
factorization results 素因数分解の結果
N=3911969718918931956958152204352737128468944661208083543483800327512325132159973149224224471939912576664963652286683278001854546274594022904032058348389724716448665115674111
  ( 172 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=307500346452874885047706544240390668878120413808017046090389 (pp60)
 r2=12721838411061595517531985019156734837738399209289399693551624852069451736338249483065831687469294434837294130499 (pp113)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 185.37 hours.
Scaled time: 332.37 units (timescale=1.793).
Factorization parameters were as follows:
n: 3911969718918931956958152204352737128468944661208083543483800327512325132159973149224224471939912576664963652286683278001854546274594022904032058348389724716448665115674111
m: 10000000000000000000000000000000000000
deg: 5
c5: 23
c0: 31
skew: 1.06
# Murphy_E = 5.589e-11
type: snfs
lss: 1
rlim: 8900000
alim: 8900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 8900000/8900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4450000, 13450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2016369 x 2016595
Total sieving time: 180.67 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 4.20 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,8900000,8900000,28,28,54,54,2.5,2.5,100000
total time: 185.37 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
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovApril 11, 2011 06:20:29 UTC 2011 年 4 月 11 日 (月) 15 時 20 分 29 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 16:05:57 UTC 2013 年 6 月 1 日 (土) 1 時 5 分 57 秒 (日本時間)
4511e6500 / 4192Dmitry DomanovJune 20, 2013 14:52:03 UTC 2013 年 6 月 20 日 (木) 23 時 52 分 3 秒 (日本時間)

23×10188+319

c181

name 名前Ignacio Santos
date 日付October 4, 2010 15:48:40 UTC 2010 年 10 月 5 日 (火) 0 時 48 分 40 秒 (日本時間)
composite number 合成数
1213091821751766648167702045547128454562522651490006111540775048594915643037239787578191540929607041631355080100249929246815069748346691264919835435106951267354130970879415942406413<181>
prime factors 素因数
513578004344662138247784974443230334327692516990804073393521042788429050388523619620842531<90>
2362040063027428389276842525377971842270636506172297505065882680190588405521622205169662223<91>
factorization results 素因数分解の結果
Number: 5
N=1213091821751766648167702045547128454562522651490006111540775048594915643037239787578191540929607041631355080100249929246815069748346691264919835435106951267354130970879415942406413
  ( 181 digits)
SNFS difficulty: 189 digits.
Divisors found:
 r1=513578004344662138247784974443230334327692516990804073393521042788429050388523619620842531 (pp90)
 r2=2362040063027428389276842525377971842270636506172297505065882680190588405521622205169662223 (pp91)
Version: Msieve-1.40
Total time: 335.22 hours.
Scaled time: 582.95 units (timescale=1.739).
Factorization parameters were as follows:
n: 1213091821751766648167702045547128454562522651490006111540775048594915643037239787578191540929607041631355080100249929246815069748346691264919835435106951267354130970879415942406413
m: 10000000000000000000000000000000000000
deg: 5
c5: 23000
c0: 31
skew: 0.27
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5000000, 10400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2028090 x 2028315
Total sieving time: 328.00 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 6.45 hours.
Time per square root: 0.52 hours.
Prototype def-par.txt line would be:
snfs,189.000,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,54,54,2.5,2.5,100000
total time: 335.22 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61732Wataru SakaiJune 30, 2010 06:31:35 UTC 2010 年 6 月 30 日 (水) 15 時 31 分 35 秒 (日本時間)
4511e6175 / 4096Dmitry DomanovJune 19, 2010 06:22:42 UTC 2010 年 6 月 19 日 (土) 15 時 22 分 42 秒 (日本時間)

23×10189+319

c169

name 名前Eric Jeancolas
date 日付August 22, 2020 06:06:18 UTC 2020 年 8 月 22 日 (土) 15 時 6 分 18 秒 (日本時間)
composite number 合成数
3669401868199642495654013697775358759430022628147893488813064164316529809344796117297744732496917406092296589350105529730761869936617876345758801006489593696507956052809<169>
prime factors 素因数
2208890804029556645794405400336540696642491591424211381901222874430383017019<76>
1661196588580004381461710278904966792458016784356806114743553003990045959692366223935349582411<94>
factorization results 素因数分解の結果
3669401868199642495654013697775358759430022628147893488813064164316529809344796117297744732496917406092296589350105529730761869936617876345758801006489593696507956052809=2208890804029556645794405400336540696642491591424211381901222874430383017019*1661196588580004381461710278904966792458016784356806114743553003990045959692366223935349582411 

n: 3669401868199642495654013697775358759430022628147893488813064164316529809344796117297744732496917406092296589350105529730761869936617876345758801006489593696507956052809
skew: 0.84
type: snfs
c0: 155
c5: 368
Y0: 50000000000000000000000000000000000000
Y1: -1
# f(x) = 368*x^5+155
# g(x) = -x+50000000000000000000000000000000000000

Info:Square Root: Factors: 1661196588580004381461710278904966792458016784356806114743553003990045959692366223935349582411 2208890804029556645794405400336540696642491591424211381901222874430383017019
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 11.19/4.61729
Info:Generate Free Relations: Total cpu/real time for freerel: 243.19/94.1681
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24938621
Info:Lattice Sieving: Average J: 1894.24 for 1911188 special-q, max bucket fill -bkmult 1.0,1s:1.088430
Info:Lattice Sieving: Total time: 483446s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 135.3/205.856
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 204.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1032.06/768.087
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 637.0999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 855.81/686.137
Info:Filtering - Merging: Total cpu/real time for merge: 2504/2340.02
Info:Filtering - Merging: Total cpu/real time for replay: 182.79/166.123
Info:Linear Algebra: Total cpu/real time for bwc: 181631/48802.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 35987.29, iteration CPU time 0.48, COMM 0.02, cpu-wait 0.1, comm-wait 0.0 (60160 iterations)
Info:Linear Algebra: Lingen CPU time 1225.51, WCT time 284.31
Info:Linear Algebra: Mksol: WCT time 12257.97, iteration CPU time 0.33, COMM 0.01, cpu-wait 0.07, comm-wait 0.0 (30208 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 143.32/77.7307
Info:Square Root: Total cpu/real time for sqrt: 1392.29/725.167
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.00967e+06/178283
Info:root: Cleaning up computation data in /tmp/cado.7zqu1lzj
1661196588580004381461710278904966792458016784356806114743553003990045959692366223935349582411 2208890804029556645794405400336540696642491591424211381901222874430383017019
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovApril 11, 2011 06:20:38 UTC 2011 年 4 月 11 日 (月) 15 時 20 分 38 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 16:06:08 UTC 2013 年 6 月 1 日 (土) 1 時 6 分 8 秒 (日本時間)
4511e650001000Dmitry DomanovJune 20, 2013 14:51:38 UTC 2013 年 6 月 20 日 (木) 23 時 51 分 38 秒 (日本時間)
4000Robert BalfourApril 11, 2020 18:49:52 UTC 2020 年 4 月 12 日 (日) 3 時 49 分 52 秒 (日本時間)

23×10190+319

c162

name 名前Eric Jeancolas
date 日付November 6, 2020 07:26:38 UTC 2020 年 11 月 6 日 (金) 16 時 26 分 38 秒 (日本時間)
composite number 合成数
550854622601418507248070002584788079403086291090511731966574701342249030268814197174367321235502933943708399517252705169403082281706132238610197319569150767909063<162>
prime factors 素因数
501476864834436689267758619560990654154118203986094142646501276159<66>
1098464677494711457878556832045095932112747738279183695264382323127418063293016398741704341152057<97>
factorization results 素因数分解の結果
550854622601418507248070002584788079403086291090511731966574701342249030268814197174367321235502933943708399517252705169403082281706132238610197319569150767909063=501476864834436689267758619560990654154118203986094142646501276159*1098464677494711457878556832045095932112747738279183695264382323127418063293016398741704341152057

cado polynomial
n: 550854622601418507248070002584788079403086291090511731966574701342249030268814197174367321235502933943708399517252705169403082281706132238610197319569150767909063
skew: 1.06
type: snfs
c0: 31
c5: 23
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 23*x^5+31
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 10800000
tasks.lim1 = 10800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1098464677494711457878556832045095932112747738279183695264382323127418063293016398741704341152057 501476864834436689267758619560990654154118203986094142646501276159
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.67/1.92951
Info:Generate Free Relations: Total cpu/real time for freerel: 98.55/25.8503
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 26423818
Info:Lattice Sieving: Average J: 1893.95 for 2609823 special-q, max bucket fill -bkmult 1.0,1s:1.111710
Info:Lattice Sieving: Total time: 604457s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 52.32/108.845
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 108.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 426.55/392.085
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 339.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 342/351.728
Info:Filtering - Merging: Merged matrix has 2185535 rows and total weight 371976900 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 311.34/89.5076
Info:Filtering - Merging: Total cpu/real time for replay: 84.02/73.91
Info:Linear Algebra: Total cpu/real time for bwc: 82055.8/20999.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 13371.07, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (68608 iterations)
Info:Linear Algebra: Lingen CPU time 435.34, WCT time 126.6
Info:Linear Algebra: Mksol: WCT time 7298.05, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (34304 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 77.83/31.7325
Info:Square Root: Total cpu/real time for sqrt: 586.99/186.077
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.20187e+06/324546
Info:root: Cleaning up computation data in /tmp/cado.9ayks_4v
1098464677494711457878556832045095932112747738279183695264382323127418063293016398741704341152057 501476864834436689267758619560990654154118203986094142646501276159
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovApril 11, 2011 06:20:47 UTC 2011 年 4 月 11 日 (月) 15 時 20 分 47 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 16:06:17 UTC 2013 年 6 月 1 日 (土) 1 時 6 分 17 秒 (日本時間)
4511e650001000Dmitry DomanovJune 20, 2013 14:51:20 UTC 2013 年 6 月 20 日 (木) 23 時 51 分 20 秒 (日本時間)
4000Robert BalfourApril 13, 2020 11:36:51 UTC 2020 年 4 月 13 日 (月) 20 時 36 分 51 秒 (日本時間)

23×10191+319

c138

name 名前Dmitry Domanov
date 日付April 11, 2011 06:46:34 UTC 2011 年 4 月 11 日 (月) 15 時 46 分 34 秒 (日本時間)
composite number 合成数
170355494116486810849346845094532450077521226187745859444859089406056970880601555525609048644381331596849215804180939446437111779852701459<138>
prime factors 素因数
1563001498672309289610467056071622974227<40>
108992534083425502697038635388514533738191555931974789146624404612929935331750333732459037243554817<99>
factorization results 素因数分解の結果
(Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=191705297
Step 1 took 48596ms
Step 2 took 19850ms
********** Factor found in step 2: 1563001498672309289610467056071622974227
Found probable prime factor of 40 digits: 1563001498672309289610467056071622974227
Probable prime cofactor 108992534083425502697038635388514533738191555931974789146624404612929935331750333732459037243554817 has 99 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovApril 11, 2011 06:20:55 UTC 2011 年 4 月 11 日 (月) 15 時 20 分 55 秒 (日本時間)

23×10192+319

c172

name 名前Dmitry Domanov
date 日付April 10, 2011 19:09:46 UTC 2011 年 4 月 11 日 (月) 4 時 9 分 46 秒 (日本時間)
composite number 合成数
1247755088189381316196696365954956250494901326304179235863418993864545132775827509334635560748763630833137881592778924417577154932708493584539954754434725956892972074484697<172>
prime factors 素因数
10922993191519485311486248270972117<35>
composite cofactor 合成数の残り
114231975275616509622976044595177107908737222326546628138228617736794624441395582205550684095846120867380164602357422180390167212796138741<138>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2053097755
Step 1 took 59806ms
Step 2 took 23798ms
********** Factor found in step 2: 10922993191519485311486248270972117
Found probable prime factor of 35 digits: 10922993191519485311486248270972117
Composite cofactor 114231975275616509622976044595177107908737222326546628138228617736794624441395582205550684095846120867380164602357422180390167212796138741 has 138 digits

c138

name 名前Eric Jeancolas
date 日付March 26, 2019 20:48:45 UTC 2019 年 3 月 27 日 (水) 5 時 48 分 45 秒 (日本時間)
composite number 合成数
114231975275616509622976044595177107908737222326546628138228617736794624441395582205550684095846120867380164602357422180390167212796138741<138>
prime factors 素因数
4478126998811148725305917757923606246878838558731809877214844057<64>
25508873532604762312061125765904284303211584628160483968906880280297038013<74>
factorization results 素因数分解の結果
3*3847*177464927507707267*10922993191519485311486248270972117*4478126998811148725305917757923606246878838558731809877214844057*25508873532604762312061125765904284303211584628160483968906880280297038013

[32;1mInfo[0m:root: Using default parameter file ./parameters/factor/params.c140
[32;1mInfo[0m:root: No database exists yet
[32;1mInfo[0m:root: Created temporary directory /tmp/cado.kyix85vg
[32;1mInfo[0m:Database: Opened connection to database /tmp/cado.kyix85vg/c140.db
[32;1mInfo[0m:root: Set tasks.threads=12 based on detected logical cpus
[32;1mInfo[0m:root: tasks.polyselect.threads = 2
[32;1mInfo[0m:root: tasks.sieve.las.threads = 2
[32;1mInfo[0m:root: slaves.scriptpath is /home/ng/cado-nfs-2.3.0
[32;1mInfo[0m:root: Command line parameters: ./cado-nfs.py 114231975275616509622976044595177107908737222326546628138228617736794624441395582205550684095846120867380164602357422180390167212796138741
[32;1mInfo[0m:root: If this computation gets interrupted, it can be resumed with ./cado-nfs.py /tmp/cado.kyix85vg/c140.parameters_snapshot.0
[32;1mInfo[0m:Server Launcher: Adding ng-All-Series to whitelist to allow clients on localhost to connect
[32;1mInfo[0m:HTTP server: Using non-threaded HTTPS server
[32;1mInfo[0m:HTTP server: Using whitelist: localhost,ng-All-Series
[32;1mInfo[0m:Complete Factorization: Factoring 114231975275616509622976044595177107908737222326546628138228617736794624441395582205550684095846120867380164602357422180390167212796138741
[32;1mInfo[0m:HTTP server: serving at https://ng-All-Series:35177 (0.0.0.0)
[32;1mInfo[0m:HTTP server: For debugging purposes, the URL above can be accessed if the server.only_registered=False parameter is added
[32;1mInfo[0m:HTTP server: You can start additional cado-nfs-client.py scripts with parameters: --server=https://ng-All-Series:35177 --certsha1=ccaa38b7dfe05293f0257307ddb43eae8d189b43
[32;1mInfo[0m:HTTP server: If you want to start additional clients, remember to add their hosts to server.whitelist
[32;1mInfo[0m:Client Launcher: Starting client id localhost on host localhost
[32;1mInfo[0m:Client Launcher: Starting client id localhost+2 on host localhost
[32;1mInfo[0m:Client Launcher: Starting client id localhost+3 on host localhost
[32;1mInfo[0m:Client Launcher: Starting client id localhost+4 on host localhost
[32;1mInfo[0m:Client Launcher: Starting client id localhost+5 on host localhost
[32;1mInfo[0m:Client Launcher: Starting client id localhost+6 on host localhost
[32;1mInfo[0m:Client Launcher: Running clients: localhost (Host localhost, PID 16583), localhost+2 (Host localhost, PID 16586), localhost+3 (Host localhost, PID 16589), localhost+4 (Host localhost, PID 16592), localhost+5 (Host localhost, PID 16595), localhost+6 (Host localhost, PID 16598)
[32;1mInfo[0m:Polynomial Selection (size optimized): Starting
[32;1mInfo[0m:Polynomial Selection (size optimized): 0 polynomials in queue from previous run
[32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_0-4000 to database
[32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_4000-8000 to database
[32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_8000-12000 to database
[32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_12000-16000 to database
[32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_16000-20000 to database
[32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_20000-24000 to database
[32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_24000-28000 to database
[32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_28000-32000 to database
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_0-4000 to client localhost
[32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_32000-36000 to database
[32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_36000-40000 to database
[32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_40000-44000 to database
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_4000-8000 to client localhost+2
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_8000-12000 to client localhost+3
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_12000-16000 to client localhost+4
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_16000-20000 to client localhost+5
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_20000-24000 to client localhost+6
[32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_44000-48000 to database
[32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_48000-52000 to database
[32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_52000-56000 to database
[32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_56000-60000 to database
[32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_60000-64000 to database
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_24000-28000 to client localhost+6
[32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_64000-68000 to database
[32;1mInfo[0m:Polynomial Selection (size optimized): Parsed 648 polynomials, added 303 to priority queue (has 100)
[32;1mInfo[0m:Polynomial Selection (size optimized): Worst polynomial in queue now has lognorm 38.250000
[32;1mInfo[0m:Polynomial Selection (size optimized): Marking workunit c140_polyselect1_20000-24000 as ok (1.0% => ETA Unknown)
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_28000-32000 to client localhost+4
[32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_68000-72000 to database
[32;1mInfo[0m:Polynomial Selection (size optimized): Parsed 714 polynomials, added 80 to priority queue (has 100)
[32;1mInfo[0m:Polynomial Selection (size optimized): Worst polynomial in queue now has lognorm 37.860000
[32;1mInfo[0m:Polynomial Selection (size optimized): Marking workunit c140_polyselect1_12000-16000 as ok (2.0% => ETA Mon Mar 25 10:54:08 2019)
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_32000-36000 to client localhost
[32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_72000-76000 to database
[32;1mInfo[0m:Polynomial Selection (size optimized): Parsed 637 polynomials, added 61 to priority queue (has 100)
[32;1mInfo[0m:Polynomial Selection (size optimized): Worst polynomial in queue now has lognorm 37.600000
[32;1mInfo[0m:Polynomial Selection (size optimized): Marking workunit c140_polyselect1_0-4000 as ok (3.0% => ETA Mon Mar 25 08:31:58 2019)
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_36000-40000 to client localhost+2
[32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_76000-80000 to database
[32;1mInfo[0m:Polynomial Selection (size optimized): Parsed 654 polynomials, added 21 to priority queue (has 100)
[32;1mInfo[0m:Polynomial Selection (size optimized): Worst polynomial in queue now has lognorm 37.500000
[32;1mInfo[0m:Polynomial Selection (size optimized): Marking workunit c140_polyselect1_4000-8000 as ok (4.0% => ETA Mon Mar 25 07:41:41 2019)
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_40000-44000 to client localhost+3
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_44000-48000 to client localhost+5
[32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_80000-84000 to database
[32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_84000-88000 to database
[32;1mInfo[0m:Polynomial Selection (size optimized): Parsed 688 polynomials, added 23 to priority queue (has 100)
[32;1mInfo[0m:Polynomial Selection (size optimized): Worst polynomial in queue now has lognorm 37.410000
[32;1mInfo[0m:Polynomial Selection (size optimized): Marking workunit c140_polyselect1_8000-12000 as ok (5.0% => ETA Mon Mar 25 07:17:47 2019)
[32;1mInfo[0m:Polynomial Selection (size optimized): Parsed 689 polynomials, added 13 to priority queue (has 100)
[32;1mInfo[0m:Polynomial Selection (size optimized): Worst polynomial in queue now has lognorm 37.370000
...EJ: many similar lines
[32;1mInfo[0m:Polynomial Selection (size optimized): Parsed 617 polynomials, added 0 to priority queue (has 100)
[32;1mInfo[0m:Polynomial Selection (size optimized): Marking workunit c140_polyselect1_392000-396000 as ok (99.0% => ETA Mon Mar 25 07:11:58 2019)
[32;1mInfo[0m:Polynomial Selection (size optimized): Parsed 679 polynomials, added 1 to priority queue (has 100)
[32;1mInfo[0m:Polynomial Selection (size optimized): Worst polynomial in queue now has lognorm 36.670000
[32;1mInfo[0m:Polynomial Selection (size optimized): Marking workunit c140_polyselect1_396000-400000 as ok (100.0% => ETA Mon Mar 25 07:11:28 2019)
[32;1mInfo[0m:Polynomial Selection (size optimized): Finished
[32;1mInfo[0m:Polynomial Selection (size optimized): Aggregate statistics:
[32;1mInfo[0m:Polynomial Selection (size optimized): potential collisions: 65655.1
[32;1mInfo[0m:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66606/40.380/49.323/54.190/0.980
[32;1mInfo[0m:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66606/39.300/43.992/49.940/1.111
[32;1mInfo[0m:Polynomial Selection (size optimized): Total time: 51223.6
[32;1mInfo[0m:Polynomial Selection (root optimized): Starting
[32;1mInfo[0m:Polynomial Selection (root optimized): No polynomial was previously found
[32;1mInfo[0m:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_0 to database
[32;1mInfo[0m:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_6 to database
[32;1mInfo[0m:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_12 to database
[32;1mInfo[0m:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_18 to database
[32;1mInfo[0m:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_24 to database
[32;1mInfo[0m:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_30 to database
[32;1mInfo[0m:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_36 to database
[32;1mInfo[0m:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_42 to database
[32;1mInfo[0m:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_48 to database
[32;1mInfo[0m:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_54 to database
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_0 to client localhost+5
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_6 to client localhost+4
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_12 to client localhost+2
[33;1mWarning[0m:HTTP server: 127.0.0.1 Connection error: [Errno 104] Connection reset by peer
[33;1mWarning[0m:HTTP server: 127.0.0.1 Connection error: [Errno 104] Connection reset by peer
[32;1mInfo[0m:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_60 to database
[32;1mInfo[0m:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_66 to database
[32;1mInfo[0m:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_72 to database
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_18 to client localhost+6
[32;1mInfo[0m:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_78 to database
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_24 to client localhost+3
[32;1mInfo[0m:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_84 to database
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_30 to client localhost
[32;1mInfo[0m:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_90 to database
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_36 to client localhost+2
[32;1mInfo[0m:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_96 to database
[32;1mInfo[0m:Polynomial Selection (root optimized): New best polynomial from file /tmp/cado.kyix85vg/c140.upload/c140.polyselect2.q34hl4fc.opt_12: Murphy E = 8.89e-10
[32;1mInfo[0m:Polynomial Selection (root optimized): Marking workunit c140_polyselect2_12 as ok (4.0% => ETA Unknown)
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_42 to client localhost+4
[32;1mInfo[0m:Polynomial Selection (root optimized): New best polynomial from file /tmp/cado.kyix85vg/c140.upload/c140.polyselect2.n5qgqkl9.opt_6: Murphy E = 9.03e-10
...EJ: many similar lines
[32;1mInfo[0m:Polynomial Selection (root optimized): Best polynomial from file /tmp/cado.kyix85vg/c140.upload/c140.polyselect2.zn5hnvfl.opt_78 with E=9.13e-10 is no better than current best with E=1.09e-09
[32;1mInfo[0m:Polynomial Selection (root optimized): Marking workunit c140_polyselect2_78 as ok (94.0% => ETA Mon Mar 25 07:21:40 2019)
[32;1mInfo[0m:Polynomial Selection (root optimized): Best polynomial from file /tmp/cado.kyix85vg/c140.upload/c140.polyselect2.5m2_dsm2.opt_84 with E=9.45e-10 is no better than current best with E=1.09e-09
[32;1mInfo[0m:Polynomial Selection (root optimized): Marking workunit c140_polyselect2_84 as ok (100.0% => ETA Mon Mar 25 07:21:02 2019)
[32;1mInfo[0m:Polynomial Selection (root optimized): Finished, best polynomial from file /tmp/cado.kyix85vg/c140.upload/c140.polyselect2.z17fjhw2.opt_66 has Murphy_E = 1.09e-09
[32;1mInfo[0m:Polynomial Selection (root optimized): Best overall polynomial was 0-th in list after size optimization
[32;1mInfo[0m:Polynomial Selection (root optimized): Aggregate statistics:
[32;1mInfo[0m:Polynomial Selection (root optimized): Total time: 6006.18
[32;1mInfo[0m:Polynomial Selection (root optimized): Rootsieve time: 6003.99
[32;1mInfo[0m:Generate Factor Base: Starting
[32;1mInfo[0m:Generate Factor Base: Finished
[32;1mInfo[0m:Generate Factor Base: Total cpu/real time for makefb: 22.96/2.40639
[32;1mInfo[0m:Generate Free Relations: Starting
[32;1mInfo[0m:Generate Free Relations: Found 121981 free relations
[32;1mInfo[0m:Generate Free Relations: Finished
[32;1mInfo[0m:Generate Free Relations: Total cpu/real time for freerel: 312.96/28.5224
[32;1mInfo[0m:Lattice Sieving: Starting
[32;1mInfo[0m:Lattice Sieving: We want 25172582 relations
[32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10122724-10130000 to database
[32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10130000-10140000 to database
[32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10140000-10150000 to database
[32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10150000-10160000 to database
[32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10160000-10170000 to database
[32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10170000-10180000 to database
[32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10180000-10190000 to database
[32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10190000-10200000 to database
[32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10200000-10210000 to database
[32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10210000-10220000 to database
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10122724-10130000 to client localhost+6
[32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10220000-10230000 to database
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10130000-10140000 to client localhost+3
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10140000-10150000 to client localhost+4
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10150000-10160000 to client localhost+5
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10160000-10170000 to client localhost
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10170000-10180000 to client localhost+2
[32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10230000-10240000 to database
[32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10240000-10250000 to database
[32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10250000-10260000 to database
[32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10260000-10270000 to database
[32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10270000-10280000 to database
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10180000-10190000 to client localhost+6
[32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10280000-10290000 to database
[32;1mInfo[0m:Lattice Sieving: Found 20203 relations in '/tmp/cado.kyix85vg/c140.upload/c140.10122724-10130000.gfphyk_q.gz', total is now 20203/25172582
[32;1mInfo[0m:Lattice Sieving: Marking workunit c140_sieving_10122724-10130000 as ok (0.1% => ETA Unknown)
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10190000-10200000 to client localhost+2
[32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10290000-10300000 to database
[32;1mInfo[0m:Lattice Sieving: Found 25626 relations in '/tmp/cado.kyix85vg/c140.upload/c140.10170000-10180000.o_96ci46.gz', total is now 45829/25172582
[32;1mInfo[0m:Lattice Sieving: Marking workunit c140_sieving_10170000-10180000 as ok (0.2% => ETA Mon Apr  1 00:35:56 2019)
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10200000-10210000 to client localhost
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10210000-10220000 to client localhost+3
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10220000-10230000 to client localhost+5
[32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10300000-10310000 to database
[32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10310000-10320000 to database
[32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10320000-10330000 to database
[32;1mInfo[0m:Lattice Sieving: Found 25966 relations in '/tmp/cado.kyix85vg/c140.upload/c140.10130000-10140000.be5t78rj.gz', total is now 71795/25172582
[32;1mInfo[0m:Lattice Sieving: Marking workunit c140_sieving_10130000-10140000 as ok (0.3% => ETA Thu Mar 28 16:40:25 2019)
[32;1mInfo[0m:Lattice Sieving: Found 25812 relations in '/tmp/cado.kyix85vg/c140.upload/c140.10150000-10160000.zmulqg5c.gz', total is now 97607/25172582
...EJ: many similar lines
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_21190000-21200000 to client localhost+4
[32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_21290000-21300000 to database
[32;1mInfo[0m:Lattice Sieving: Found 19632 relations in '/tmp/cado.kyix85vg/c140.upload/c140.21130000-21140000.bxq5l58k.gz', total is now 24953729/25172582
[32;1mInfo[0m:Lattice Sieving: Marking workunit c140_sieving_21130000-21140000 as ok (99.1% => ETA Tue Mar 26 16:02:56 2019)
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_21200000-21210000 to client localhost+2
[32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_21300000-21310000 to database
[32;1mInfo[0m:Lattice Sieving: Found 20093 relations in '/tmp/cado.kyix85vg/c140.upload/c140.21140000-21150000.w7yoqzsr.gz', total is now 24973822/25172582
[32;1mInfo[0m:Lattice Sieving: Marking workunit c140_sieving_21140000-21150000 as ok (99.2% => ETA Tue Mar 26 16:04:09 2019)
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_21210000-21220000 to client localhost
[32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_21310000-21320000 to database
[32;1mInfo[0m:Lattice Sieving: Found 18282 relations in '/tmp/cado.kyix85vg/c140.upload/c140.21150000-21160000.e8okq7it.gz', total is now 24992104/25172582
[32;1mInfo[0m:Lattice Sieving: Marking workunit c140_sieving_21150000-21160000 as ok (99.3% => ETA Tue Mar 26 16:05:38 2019)
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_21220000-21230000 to client localhost+6
[32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_21320000-21330000 to database
[32;1mInfo[0m:Lattice Sieving: Found 21640 relations in '/tmp/cado.kyix85vg/c140.upload/c140.21160000-21170000.5qgmcqvp.gz', total is now 25013744/25172582
[32;1mInfo[0m:Lattice Sieving: Marking workunit c140_sieving_21160000-21170000 as ok (99.4% => ETA Tue Mar 26 16:05:57 2019)
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_21230000-21240000 to client localhost+5
[32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_21330000-21340000 to database
[32;1mInfo[0m:Lattice Sieving: Found 18481 relations in '/tmp/cado.kyix85vg/c140.upload/c140.21180000-21190000.ho_459go.gz', total is now 25032225/25172582
[32;1mInfo[0m:Lattice Sieving: Marking workunit c140_sieving_21180000-21190000 as ok (99.4% => ETA Tue Mar 26 16:06:34 2019)
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_21240000-21250000 to client localhost+4
[32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_21340000-21350000 to database
[32;1mInfo[0m:Lattice Sieving: Found 20306 relations in '/tmp/cado.kyix85vg/c140.upload/c140.21190000-21200000.8wrdc3gi.gz', total is now 25052531/25172582
[32;1mInfo[0m:Lattice Sieving: Marking workunit c140_sieving_21190000-21200000 as ok (99.5% => ETA Tue Mar 26 16:06:07 2019)
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_21250000-21260000 to client localhost+3
[32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_21350000-21360000 to database
[32;1mInfo[0m:Lattice Sieving: Found 21674 relations in '/tmp/cado.kyix85vg/c140.upload/c140.21170000-21180000.clc84v5r.gz', total is now 25074205/25172582
[32;1mInfo[0m:Lattice Sieving: Marking workunit c140_sieving_21170000-21180000 as ok (99.6% => ETA Tue Mar 26 16:04:27 2019)
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_21260000-21270000 to client localhost+2
[32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_21360000-21370000 to database
[32;1mInfo[0m:Lattice Sieving: Found 20624 relations in '/tmp/cado.kyix85vg/c140.upload/c140.21200000-21210000.h5bmg2xn.gz', total is now 25094829/25172582
[32;1mInfo[0m:Lattice Sieving: Marking workunit c140_sieving_21200000-21210000 as ok (99.7% => ETA Tue Mar 26 16:05:35 2019)
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_21270000-21280000 to client localhost
[32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_21370000-21380000 to database
[32;1mInfo[0m:Lattice Sieving: Found 18164 relations in '/tmp/cado.kyix85vg/c140.upload/c140.21210000-21220000.07qfc86f.gz', total is now 25112993/25172582
[32;1mInfo[0m:Lattice Sieving: Marking workunit c140_sieving_21210000-21220000 as ok (99.8% => ETA Tue Mar 26 16:05:47 2019)
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_21280000-21290000 to client localhost+6
[32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_21380000-21390000 to database
[32;1mInfo[0m:Lattice Sieving: Found 20418 relations in '/tmp/cado.kyix85vg/c140.upload/c140.21220000-21230000.j2v_2v6u.gz', total is now 25133411/25172582
[32;1mInfo[0m:Lattice Sieving: Marking workunit c140_sieving_21220000-21230000 as ok (99.8% => ETA Tue Mar 26 16:07:21 2019)
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_21290000-21300000 to client localhost+5
[32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_21390000-21400000 to database
[32;1mInfo[0m:Lattice Sieving: Found 20161 relations in '/tmp/cado.kyix85vg/c140.upload/c140.21230000-21240000.tmz_l8hm.gz', total is now 25153572/25172582
[32;1mInfo[0m:Lattice Sieving: Marking workunit c140_sieving_21230000-21240000 as ok (99.9% => ETA Tue Mar 26 16:07:52 2019)
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_21300000-21310000 to client localhost+3
[32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_21400000-21410000 to database
[32;1mInfo[0m:Lattice Sieving: Found 20307 relations in '/tmp/cado.kyix85vg/c140.upload/c140.21250000-21260000.c7vxak_q.gz', total is now 25173879/25172582
[32;1mInfo[0m:Lattice Sieving: Marking workunit c140_sieving_21250000-21260000 as ok (100.0% => ETA Tue Mar 26 16:07:18 2019)
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_21310000-21320000 to client localhost+4
[32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_21410000-21420000 to database
[32;1mInfo[0m:Lattice Sieving: Reached target of 25172582 relations, now have 25173879
[32;1mInfo[0m:Lattice Sieving: Aggregate statistics:
[32;1mInfo[0m:Lattice Sieving: Total number of relations: 25173879
[32;1mInfo[0m:Lattice Sieving: Average J: 3816.22 for 672580 special-q, max bucket fill: 0.626305
[32;1mInfo[0m:Lattice Sieving: Total CPU time: 1.36161e+06s
[32;1mInfo[0m:Filtering - Duplicate Removal, splitting pass: Starting
[32;1mInfo[0m:Filtering - Duplicate Removal, splitting pass: Splitting 1113 new files
[32;1mInfo[0m:Filtering - Duplicate Removal, splitting pass: Relations per slice: 0: 12584590, 1: 12589289
[32;1mInfo[0m:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 125.58/228.598
[32;1mInfo[0m:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
[32;1mInfo[0m:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 228.4s
[32;1mInfo[0m:Filtering - Duplicate Removal, removal pass: Starting
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_21320000-21330000 to client localhost+2
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_21330000-21340000 to client localhost
[32;1mInfo[0m:Filtering - Duplicate Removal, removal pass: 10665275 unique relations remain on slice 0
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_21340000-21350000 to client localhost+6
[32;1mInfo[0m:Filtering - Duplicate Removal, removal pass: 10671350 unique relations remain on slice 1
[32;1mInfo[0m:Filtering - Duplicate Removal, removal pass: Of 25173879 newly added relations 21336625 were unique (ratio 0.847570)
[32;1mInfo[0m:Filtering - Duplicate Removal, removal pass: 21336625 unique relations remain in total
[32;1mInfo[0m:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 539.95/362.216
[32;1mInfo[0m:Filtering - Singleton removal: Starting
[32;1mInfo[0m:Filtering - Singleton removal: Reading 21336625 unique and 121981 free relations, total 21458606
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_21350000-21360000 to client localhost+5
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_21360000-21370000 to client localhost+3
[32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_21370000-21380000 to client localhost+4
[32;1mInfo[0m:Filtering - Singleton removal: After purge, 7150417 relations with 7150257 primes remain with weight 137637149 and excess 160
[32;1mInfo[0m:Filtering - Singleton removal: Have enough relations
[32;1mInfo[0m:HTTP server: Got notification to stop serving Workunits
[32;1mInfo[0m:Lattice Sieving: Cancelling remaining workunits
[32;1mInfo[0m:Client Launcher: Stopped client localhost (Host localhost, PID 16583)
[32;1mInfo[0m:Client Launcher: Stopped client localhost+2 (Host localhost, PID 16586)
[32;1mInfo[0m:Client Launcher: Stopped client localhost+3 (Host localhost, PID 16589)
[32;1mInfo[0m:Client Launcher: Stopped client localhost+4 (Host localhost, PID 16592)
[32;1mInfo[0m:Client Launcher: Stopped client localhost+5 (Host localhost, PID 16595)
[32;1mInfo[0m:Client Launcher: Stopped client localhost+6 (Host localhost, PID 16598)
[32;1mInfo[0m:Filtering - Singleton removal: Total cpu/real time for purge: 300.13/248.318
[32;1mInfo[0m:Filtering - Merging: Starting
[32;1mInfo[0m:Filtering - Merging: Merged matrix has 1749500 rows and total weight 297415405 (170.0 entries per row on average)
[32;1mInfo[0m:Filtering - Merging: Total cpu/real time for merge: 852.1/773.788
[32;1mInfo[0m:Filtering - Merging: Total cpu/real time for replay: 61.97/47.9053
[32;1mInfo[0m:Linear Algebra: Starting
[32;1mInfo[0m:Linear Algebra: krylov: N=1000 ; ETA (N=55000): Tue Mar 26 19:24:30 2019 [0.181 s/iter]
[32;1mInfo[0m:Linear Algebra: krylov: N=2000 ; ETA (N=55000): Tue Mar 26 19:26:18 2019 [0.183 s/iter]
...EJ: many similar lines
[32;1mInfo[0m:Linear Algebra: krylov: N=54000 ; ETA (N=55000): Tue Mar 26 19:31:57 2019 [0.190 s/iter]
[32;1mInfo[0m:Linear Algebra: krylov: N=55000 ; ETA (N=55000): Tue Mar 26 19:31:58 2019 [0.190 s/iter]
[32;1mInfo[0m:Linear Algebra: lingen ETA: Tue Mar 26 19:32:16 2019
[32;1mInfo[0m:Linear Algebra: lingen ETA: Tue Mar 26 19:42:27 2019
[32;1mInfo[0m:Linear Algebra: lingen ETA: Tue Mar 26 19:33:06 2019
[32;1mInfo[0m:Linear Algebra: lingen ETA: Tue Mar 26 19:33:06 2019
[32;1mInfo[0m:Linear Algebra: lingen ETA: Tue Mar 26 19:33:22 2019
[32;1mInfo[0m:Linear Algebra: lingen ETA: Tue Mar 26 19:33:24 2019
[32;1mInfo[0m:Linear Algebra: lingen ETA: Tue Mar 26 19:33:24 2019
[32;1mInfo[0m:Linear Algebra: lingen ETA: Tue Mar 26 19:33:25 2019
[32;1mInfo[0m:Linear Algebra: lingen ETA: Tue Mar 26 19:33:25 2019
[32;1mInfo[0m:Linear Algebra: lingen ETA: Tue Mar 26 19:33:24 2019
[32;1mInfo[0m:Linear Algebra: lingen ETA: Tue Mar 26 19:33:24 2019
[32;1mInfo[0m:Linear Algebra: lingen ETA: Tue Mar 26 19:33:24 2019
[32;1mInfo[0m:Linear Algebra: lingen ETA: Tue Mar 26 19:33:23 2019
[32;1mInfo[0m:Linear Algebra: lingen ETA: Tue Mar 26 19:33:17 2019
[32;1mInfo[0m:Linear Algebra: lingen ETA: Tue Mar 26 19:33:22 2019
[32;1mInfo[0m:Linear Algebra: lingen ETA: Tue Mar 26 19:33:21 2019
[32;1mInfo[0m:Linear Algebra: lingen ETA: Tue Mar 26 19:33:24 2019
[32;1mInfo[0m:Linear Algebra: lingen ETA: Tue Mar 26 19:33:22 2019
[32;1mInfo[0m:Linear Algebra: lingen ETA: Tue Mar 26 19:33:16 2019
[32;1mInfo[0m:Linear Algebra: mksol: N=1000 ; ETA (N=28000): Tue Mar 26 21:07:37 2019 [0.202 s/iter]
[32;1mInfo[0m:Linear Algebra: mksol: N=2000 ; ETA (N=28000): Tue Mar 26 21:08:39 2019 [0.204 s/iter]
...EJ: many similar lines
[32;1mInfo[0m:Linear Algebra: mksol: N=27000 ; ETA (N=28000): Tue Mar 26 21:09:39 2019 [0.207 s/iter]
[32;1mInfo[0m:Linear Algebra: mksol: N=28000 ; ETA (N=28000): Tue Mar 26 21:09:29 2019 [0.206 s/iter]
[32;1mInfo[0m:Linear Algebra: Total cpu/real time for bwc: 175011/0.000309706
[32;1mInfo[0m:Linear Algebra: Aggregate statistics:
[32;1mInfo[0m:Linear Algebra: Krylov: WCT time 10429.24
[32;1mInfo[0m:Linear Algebra: Lingen CPU time 649.5, WCT time 75.08
[32;1mInfo[0m:Linear Algebra: Mksol: WCT time 5774.92
[32;1mInfo[0m:Quadratic Characters: Starting
[32;1mInfo[0m:Quadratic Characters: Total cpu/real time for characters: 72.48/16.8292
[32;1mInfo[0m:Square Root: Starting
[32;1mInfo[0m:Square Root: Creating file of (a,b) values
[32;1mInfo[0m:Square Root: finished
[32;1mInfo[0m:Square Root: Factors: 4478126998811148725305917757923606246878838558731809877214844057 25508873532604762312061125765904284303211584628160483968906880280297038013
[32;1mInfo[0m:Square Root: Total cpu/real time for sqrt: 4182.85/601.799
[32;1mInfo[0m:Polynomial Selection (size optimized): Aggregate statistics:
[32;1mInfo[0m:Polynomial Selection (size optimized): potential collisions: 65655.1
[32;1mInfo[0m:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66606/40.380/49.323/54.190/0.980
[32;1mInfo[0m:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66606/39.300/43.992/49.940/1.111
[32;1mInfo[0m:Polynomial Selection (size optimized): Total time: 51223.6
[32;1mInfo[0m:Polynomial Selection (root optimized): Aggregate statistics:
[32;1mInfo[0m:Polynomial Selection (root optimized): Total time: 6006.18
[32;1mInfo[0m:Polynomial Selection (root optimized): Rootsieve time: 6003.99
[32;1mInfo[0m:Generate Factor Base: Total cpu/real time for makefb: 22.96/2.40639
[32;1mInfo[0m:Generate Free Relations: Total cpu/real time for freerel: 312.96/28.5224
[32;1mInfo[0m:Lattice Sieving: Aggregate statistics:
[32;1mInfo[0m:Lattice Sieving: Total number of relations: 25173879
[32;1mInfo[0m:Lattice Sieving: Average J: 3816.22 for 672580 special-q, max bucket fill: 0.626305
[32;1mInfo[0m:Lattice Sieving: Total CPU time: 1.36161e+06s
[32;1mInfo[0m:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 125.58/228.598
[32;1mInfo[0m:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
[32;1mInfo[0m:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 228.4s
[32;1mInfo[0m:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 539.95/362.216
[32;1mInfo[0m:Filtering - Singleton removal: Total cpu/real time for purge: 300.13/248.318
[32;1mInfo[0m:Filtering - Merging: Total cpu/real time for merge: 852.1/773.788
[32;1mInfo[0m:Filtering - Merging: Total cpu/real time for replay: 61.97/47.9053
[32;1mInfo[0m:Linear Algebra: Total cpu/real time for bwc: 175011/0.000309706
[32;1mInfo[0m:Linear Algebra: Aggregate statistics:
[32;1mInfo[0m:Linear Algebra: Krylov: WCT time 10429.24
[32;1mInfo[0m:Linear Algebra: Lingen CPU time 649.5, WCT time 75.08
[32;1mInfo[0m:Linear Algebra: Mksol: WCT time 5774.92
[32;1mInfo[0m:Quadratic Characters: Total cpu/real time for characters: 72.48/16.8292
[32;1mInfo[0m:Square Root: Total cpu/real time for sqrt: 4182.85/601.799
[32;1mInfo[0m:HTTP server: Shutting down HTTP server
[32;1mInfo[0m:Complete Factorization: Total cpu/elapsed time for entire factorization: 1.60032e+06/141660
[32;1mInfo[0m:root: Cleaning up computation data in /tmp/cado.kyix85vg
4478126998811148725305917757923606246878838558731809877214844057 25508873532604762312061125765904284303211584628160483968906880280297038013
software ソフトウェア
cado-nfs-2.3.0
execution environment 実行環境
Linux Ubuntu 18.04 LTS 
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors) 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovApril 10, 2011 19:09:33 UTC 2011 年 4 月 11 日 (月) 4 時 9 分 33 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 16:06:26 UTC 2013 年 6 月 1 日 (土) 1 時 6 分 26 秒 (日本時間)
4511e61000 / 4192Dmitry DomanovJune 20, 2013 14:51:08 UTC 2013 年 6 月 20 日 (木) 23 時 51 分 8 秒 (日本時間)

23×10194+319

c188

name 名前Dmitry Domanov
date 日付August 13, 2009 16:06:39 UTC 2009 年 8 月 14 日 (金) 1 時 6 分 39 秒 (日本時間)
composite number 合成数
28834886662409383704570589049971849001627779499721987813399017700721432566314064896723653554653876112714769601294631248750305414731610704608162160983692881176735175975364174902443116008679<188>
prime factors 素因数
829120576370272477495488439345330306211<39>
373665017540682988557616909862451034443569869<45>
93071800242908434411113725305788079538407132412622804537132101554811430232078431135405103826930054200481<104>
factorization results 素因数分解の結果
C188=P39*P45*P104
C188=829120576370272477495488439345330306211<39>*373665017540682988557616909862451034443569869<45>*93071800242908434411113725305788079538407132412622804537132101554811430232078431135405103826930054200481<104>
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)

23×10195+319

c177

name 名前Edwin Hall
date 日付December 29, 2020 14:35:40 UTC 2020 年 12 月 29 日 (火) 23 時 35 分 40 秒 (日本時間)
composite number 合成数
319392618213395419774936166951824932298563599413317524978375218300470895174130914057620609467714734001916313172145354642566218714565671959570259915946300357127652631846927173657<177>
prime factors 素因数
2314221545701555032758775731690081028660077491848339974891752847<64>
138012982727015324350352369509765984494375165229091632522063183044384755103700304319013178282343166153359866678231<114>
factorization results 素因数分解の結果
p64 factor: 2314221545701555032758775731690081028660077491848339974891752847
p114 factor: 138012982727015324350352369509765984494375165229091632522063183044384755103700304319013178282343166153359866678231


Msieve v. 1.54 (SVN 1032M)
random seeds: 00cac8f1 26a8b1c7
factoring 319392618213395419774936166951824932298563599413317524978375218300470895174130914057620609467714734001916313172145354642566218714565671959570259915946300357127652631846927173657 (177 digits)
searching for 15-digit factors
commencing number field sieve (177-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 31
A1: 0
A2: 0
A3: 0
A4: 0
A5: 23
skew 1.00, size 9.309e-14, alpha 1.327, combined = 1.919e-11 rroots = 1

commencing relation filtering
estimated available RAM is 48213.5 MB
commencing duplicate removal, pass 1
found 2274275 hash collisions in 36524070 relations
added 727288 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 37251358 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1236.5 MB
keeping 40146175 ideals with weight <= 200, target excess is 196392
commencing in-memory singleton removal
begin with 37251358 relations and 40146175 unique ideals
reduce to 14085846 relations and 13005141 ideals in 15 passes
max relations containing the same ideal: 108
removing 2171272 relations and 1771272 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 11914574 relations and 13005141 unique ideals
reduce to 11624277 relations and 10933099 ideals in 10 passes
max relations containing the same ideal: 98
removing 1751661 relations and 1351661 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9872616 relations and 10933099 unique ideals
reduce to 9637897 relations and 9338333 ideals in 9 passes
max relations containing the same ideal: 85
removing 442958 relations and 371209 ideals in 71749 cliques
commencing in-memory singleton removal
begin with 9194939 relations and 9338333 unique ideals
reduce to 9178693 relations and 8950745 ideals in 6 passes
max relations containing the same ideal: 83
relations with 0 large ideals: 4012
relations with 1 large ideals: 7391
relations with 2 large ideals: 68140
relations with 3 large ideals: 349911
relations with 4 large ideals: 1076359
relations with 5 large ideals: 2070246
relations with 6 large ideals: 2602085
relations with 7+ large ideals: 3000549
commencing 2-way merge
reduce to 5695867 relation sets and 5467919 unique ideals
commencing full merge
memory use: 651.4 MB
found 2665088 cycles, need 2642119
weight of 2642119 cycles is about 237858483 (90.03/cycle)
distribution of cycle lengths:
1 relations: 227374
2 relations: 231095
3 relations: 238410
4 relations: 229940
5 relations: 219597
6 relations: 201133
7 relations: 186951
8 relations: 168815
9 relations: 150008
10+ relations: 788796
heaviest cycle: 27 relations
commencing cycle optimization
start with 19521174 relations
pruned 657688 relations
memory use: 575.3 MB
distribution of cycle lengths:
1 relations: 227374
2 relations: 236738
3 relations: 247887
4 relations: 237357
5 relations: 227516
6 relations: 207357
7 relations: 192254
8 relations: 172051
9 relations: 152734
10+ relations: 740851
heaviest cycle: 26 relations
RelProcTime: 712
elapsed time 00:11:53


Msieve v. 1.54 (SVN 1032M)
random seeds: 57a52af1 6350d495
factoring 319392618213395419774936166951824932298563599413317524978375218300470895174130914057620609467714734001916313172145354642566218714565671959570259915946300357127652631846927173657 (177 digits)
searching for 15-digit factors
commencing number field sieve (177-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 31
A1: 0
A2: 0
A3: 0
A4: 0
A5: 23
skew 1.00, size 9.309e-14, alpha 1.327, combined = 1.919e-11 rroots = 1

commencing linear algebra
read 2642119 cycles
cycles contain 9022358 unique relations
read 9022358 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1134.8 MB
read 2642119 cycles
matrix is 2641941 x 2642119 (970.8 MB) with weight 283680005 (107.37/col)
sparse part has weight 225436574 (85.32/col)
filtering completed in 2 passes
matrix is 2641191 x 2641369 (970.8 MB) with weight 283653673 (107.39/col)
sparse part has weight 225427219 (85.34/col)
matrix starts at (0, 0)
matrix is 2641191 x 2641369 (970.8 MB) with weight 283653673 (107.39/col)
sparse part has weight 225427219 (85.34/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2641143 x 2641369 (923.0 MB) with weight 233077954 (88.24/col)
sparse part has weight 215541796 (81.60/col)
using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
commencing Lanczos iteration (12 threads)
memory use: 881.2 MB
linear algebra at 0.1%, ETA 2h24m
checkpointing every 1220000 dimensions
lanczos halted after 41771 iterations (dim = 2641140)
recovered 35 nontrivial dependencies
BLanczosTime: 7541
elapsed time 02:05:42


Msieve v. 1.54 (SVN 1032M)
random seeds: 20ba083c 1cd46dd2
factoring 319392618213395419774936166951824932298563599413317524978375218300470895174130914057620609467714734001916313172145354642566218714565671959570259915946300357127652631846927173657 (177 digits)
searching for 15-digit factors
commencing number field sieve (177-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 31
A1: 0
A2: 0
A3: 0
A4: 0
A5: 23
skew 1.00, size 9.309e-14, alpha 1.327, combined = 1.919e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1321132 cycles
cycles contain 4511524 unique relations
read 4511524 relations
multiplying 4511524 relations
multiply complete, coefficients have about 121.89 million bits
initial square root is modulo 561343061
sqrtTime: 315
p64 factor: 2314221545701555032758775731690081028660077491848339974891752847
p114 factor: 138012982727015324350352369509765984494375165229091632522063183044384755103700304319013178282343166153359866678231
elapsed time 00:05:17
software ソフトウェア
CADO-NFS/Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovApril 11, 2011 06:21:03 UTC 2011 年 4 月 11 日 (月) 15 時 21 分 3 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 16:06:35 UTC 2013 年 6 月 1 日 (土) 1 時 6 分 35 秒 (日本時間)
4511e641961000Dmitry DomanovJune 20, 2013 14:50:54 UTC 2013 年 6 月 20 日 (木) 23 時 50 分 54 秒 (日本時間)
3196Edwin HallDecember 28, 2020 18:06:34 UTC 2020 年 12 月 29 日 (火) 3 時 6 分 34 秒 (日本時間)

23×10197+319

c188

name 名前Robert Backstrom
date 日付March 20, 2012 14:16:03 UTC 2012 年 3 月 20 日 (火) 23 時 16 分 3 秒 (日本時間)
composite number 合成数
69502799202407718363283589410276215483507432697595432437331261687693268278965907445505522919683667404999949101438120617639831910914171629699057144205770855922326670989579409687843767464619<188>
prime factors 素因数
17133292761656930017323496164789182657<38>
4056593217034728781107214280367278473928301146730202752714434802683371025599186068528376506814896997311939330926827210738339462682123627873915287093867<151>
factorization results 素因数分解の結果
Number: n
N=69502799202407718363283589410276215483507432697595432437331261687693268278965907445505522919683667404999949101438120617639831910914171629699057144205770855922326670989579409687843767464619
  ( 188 digits)
SNFS difficulty: 198 digits.
Divisors found:

Wed Mar 21 01:07:23 2012  prp38 factor: 17133292761656930017323496164789182657
Wed Mar 21 01:07:23 2012  prp151 factor: 4056593217034728781107214280367278473928301146730202752714434802683371025599186068528376506814896997311939330926827210738339462682123627873915287093867
Wed Mar 21 01:07:23 2012  elapsed time 05:58:08 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.661).
Factorization parameters were as follows:
name: KA_25559_197
n: 69502799202407718363283589410276215483507432697595432437331261687693268278965907445505522919683667404999949101438120617639831910914171629699057144205770855922326670989579409687843767464619
m: 1000000000000000000000000000000000000000
#  c188, diff: 198.36
skew: 0.42
deg: 5
c5: 2300
c0: 31
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 25400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 14099235 hash collisions in 82647922 relations (71688246 unique)
Msieve: matrix is 1820139 x 1820372 (511.9 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovApril 11, 2011 06:21:11 UTC 2011 年 4 月 11 日 (月) 15 時 21 分 11 秒 (日本時間)

23×10198+319

c194

name 名前matsui
date 日付September 20, 2009 15:18:51 UTC 2009 年 9 月 21 日 (月) 0 時 18 分 51 秒 (日本時間)
composite number 合成数
81743772368472493220598009006031268769969470478058905273184133178375573539185476619504064087117536882434684948839060728514715656064854798181734176360411846449654721413669691186244300148915828793<194>
prime factors 素因数
1773544851690857091455303578767620287335292839195633314214919261703524198142442232843039<88>
46090614675202519151121521301857710646255963027179329623754599707153708440227623256930972490373887356299687<107>
factorization results 素因数分解の結果
N=81743772368472493220598009006031268769969470478058905273184133178375573539185476619504064087117536882434684948839060728514715656064854798181734176360411846449654721413669691186244300148915828793
  ( 194 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=1773544851690857091455303578767620287335292839195633314214919261703524198142442232843039 (pp88)
 r2=46090614675202519151121521301857710646255963027179329623754599707153708440227623256930972490373887356299687 (pp107)
Version: Msieve v. 1.42
Total time: 1259.43 hours.
Scaled time: 2168.73 units (timescale=1.722).
Factorization parameters were as follows:
n: 81743772368472493220598009006031268769969470478058905273184133178375573539185476619504064087117536882434684948839060728514715656064854798181734176360411846449654721413669691186244300148915828793
m: 5000000000000000000000000000000000000000
deg: 5
c5: 184
c0: 775
skew: 1.33
type: snfs
lss: 1
rlim: 15500000
alim: 15500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6


Factor base limits: 15500000/15500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7750000, 17950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3488309 x 3488539
Total sieving time: 1245.21 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 13.11 hours.
Time per square root: 0.84 hours.
Prototype def-par.txt line would be:
snfs,200.000,5,0,0,0,0,0,0,0,0,15500000,15500000,29,29,56,56,2.6,2.6,100000
total time: 1259.43 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6825Wataru SakaiAugust 14, 2009 04:16:14 UTC 2009 年 8 月 14 日 (金) 13 時 16 分 14 秒 (日本時間)
403e6200 / 2111Dmitry DomanovAugust 15, 2009 18:10:31 UTC 2009 年 8 月 16 日 (日) 3 時 10 分 31 秒 (日本時間)

23×10199+319

c171

name 名前Eric Jeancolas
date 日付July 6, 2021 16:10:35 UTC 2021 年 7 月 7 日 (水) 1 時 10 分 35 秒 (日本時間)
composite number 合成数
147718563992997925798956201575415679951741671216043093580222029506032563753507574131423637504946840375687648276487935390370531101035885027662412988436283389943775888193727<171>
prime factors 素因数
20957903094306186817400057388295298063071342371819628668722183<62>
7048346551097943300784252178004161801291064519277507503081036237111034573945127275572045074877294723982245769<109>
factorization results 素因数分解の結果
147718563992997925798956201575415679951741671216043093580222029506032563753507574131423637504946840375687648276487935390370531101035885027662412988436283389943775888193727=20957903094306186817400057388295298063071342371819628668722183*7048346551097943300784252178004161801291064519277507503081036237111034573945127275572045074877294723982245769

cado polynomial
n: 147718563992997925798956201575415679951741671216043093580222029506032563753507574131423637504946840375687648276487935390370531101035885027662412988436283389943775888193727
skew: 1.68
type: snfs
c0: 310
c5: 23
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 23*x^5+310
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15900000
tasks.lim1 = 15900000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 7048346551097943300784252178004161801291064519277507503081036237111034573945127275572045074877294723982245769 20957903094306186817400057388295298063071342371819628668722183
Info:Square Root: Total cpu/real time for sqrt: 934.4/297.552
Info:Filtering - Singleton removal: Total cpu/real time for purge: 566.24/617.704
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 46705799
Info:Lattice Sieving: Average J: 1893.98 for 3805799 special-q, max bucket fill -bkmult 1.0,1s:1.108000
Info:Lattice Sieving: Total time: 1.12461e+06s
Info:Linear Algebra: Total cpu/real time for bwc: 203217/52000.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 130558.63, WCT time 33305.32, iteration CPU time 0.3, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (104448 iterations)
Info:Linear Algebra: Lingen CPU time 740.57, WCT time 190.3
Info:Linear Algebra: Mksol: CPU time 70607.57,  WCT time 18014.79, iteration CPU time 0.33, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (52224 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 6.7/3.03595
Info:Generate Free Relations: Total cpu/real time for freerel: 239.97/62.7054
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 198.74/240.02
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 239.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 812.24/755.866
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 608.9000000000001s
Info:Filtering - Merging: Merged matrix has 3340961 rows and total weight 569582978 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 961.14/265.275
Info:Filtering - Merging: Total cpu/real time for replay: 134.73/123.017
Info:Quadratic Characters: Total cpu/real time for characters: 121.52/52.9954
Info:Square Root: Total cpu/real time for sqrt: 934.4/297.552
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.34756e+06/132026
Info:root: Cleaning up computation data in /tmp/cado.l6qccdyl
7048346551097943300784252178004161801291064519277507503081036237111034573945127275572045074877294723982245769 20957903094306186817400057388295298063071342371819628668722183
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
4 x Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovApril 11, 2011 06:21:21 UTC 2011 年 4 月 11 日 (月) 15 時 21 分 21 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 16:06:44 UTC 2013 年 6 月 1 日 (土) 1 時 6 分 44 秒 (日本時間)
4511e61000Dmitry DomanovJune 20, 2013 14:50:36 UTC 2013 年 6 月 20 日 (木) 23 時 50 分 36 秒 (日本時間)
5043e61200 / 7280yoyo@HomeJune 10, 2021 21:52:31 UTC 2021 年 6 月 11 日 (金) 6 時 52 分 31 秒 (日本時間)

23×10200+319

c192

name 名前matsui
date 日付October 6, 2010 00:20:48 UTC 2010 年 10 月 6 日 (水) 9 時 20 分 48 秒 (日本時間)
composite number 合成数
872091582959970356681919772163086090110472766235131901609130646295480896985732948360409981613090275751942207958944464164899741816869777421968961973151402531676329447093416940131552490015623479<192>
prime factors 素因数
21820858313964548786954217993014444279023220497083434121031758314293183<71>
39965961485660888861455784745525930018186166280169477013944289861667093934444893594385688840941623468654470309076874648713<122>
factorization results 素因数分解の結果
N=872091582959970356681919772163086090110472766235131901609130646295480896985732948360409981613090275751942207958944464164899741816869777421968961973151402531676329447093416940131552490015623479
  ( 192 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=21820858313964548786954217993014444279023220497083434121031758314293183 (pp71)
 r2=39965961485660888861455784745525930018186166280169477013944289861667093934444893594385688840941623468654470309076874648713 (pp122)
Version: Msieve v. 1.47
Total time:
Scaled time: 44.50 units (timescale=1.879).
Factorization parameters were as follows:
n: 872091582959970356681919772163086090110472766235131901609130646295480896985732948360409981613090275751942207958944464164899741816869777421968961973151402531676329447093416940131552490015623479
m: 10000000000000000000000000000000000000000
deg: 5
c5: 23
c0: 31
skew: 1.06
type: snfs
lss: 1
rlim: 15900000
alim: 15900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15900000/15900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7950000, 17650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3411544 x 3411771
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,201.000,5,0,0,0,0,0,0,0,0,15900000,15900000,29,29,56,56,2.6,2.6,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 22, 2010 06:40:06 UTC 2010 年 6 月 22 日 (火) 15 時 40 分 6 秒 (日本時間)
403e62446110Ignacio SantosJune 22, 2010 06:40:06 UTC 2010 年 6 月 22 日 (火) 15 時 40 分 6 秒 (日本時間)
2336Wataru SakaiJune 23, 2010 04:02:20 UTC 2010 年 6 月 23 日 (水) 13 時 2 分 20 秒 (日本時間)
4511e632 / 3924Ignacio SantosJune 22, 2010 06:40:06 UTC 2010 年 6 月 22 日 (火) 15 時 40 分 6 秒 (日本時間)

23×10201+319

c174

name 名前Bob Backstrom
date 日付July 27, 2021 23:16:26 UTC 2021 年 7 月 28 日 (水) 8 時 16 分 26 秒 (日本時間)
composite number 合成数
225006066472988001366895762064231841955014624016904111973063311527685439197199481822495362516476441370521143515323022910870316818540258038698292682244939638189313950871452181<174>
prime factors 素因数
11604439121522815021093388855430086483435159<44>
19389654606888156441783620621619827502062735572371829627400418799477778962302438379556780566651251015597457633547353728967275294259<131>
factorization results 素因数分解の結果
#
# N = 23x10^201+31 = 25(200)9
#
n: 225006066472988001366895762064231841955014624016904111973063311527685439197199481822495362516476441370521143515323022910870316818540258038698292682244939638189313950871452181
m: 10000000000000000000000000000000000000000
deg: 5
c5: 230
c0: 31
skew: 0.67
# Murphy_E = 9.82e-12
type: snfs
lss: 1
rlim: 16500000
alim: 16500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 225006066472988001366895762064231841955014624016904111973063311527685439197199481822495362516476441370521143515323022910870316818540258038698292682244939638189313950871452181 (174 digits)
Using B1=51830000, B2=288593765476, polynomial Dickson(12), sigma=1:560338091
Step 1 took 123765ms
Step 2 took 40543ms
********** Factor found in step 2: 11604439121522815021093388855430086483435159
Found prime factor of 44 digits: 11604439121522815021093388855430086483435159
Prime cofactor 19389654606888156441783620621619827502062735572371829627400418799477778962302438379556780566651251015597457633547353728967275294259 has 131 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovApril 11, 2011 06:21:29 UTC 2011 年 4 月 11 日 (月) 15 時 21 分 29 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 16:06:56 UTC 2013 年 6 月 1 日 (土) 1 時 6 分 56 秒 (日本時間)
4511e61000 / 4192Dmitry DomanovJune 7, 2013 17:17:44 UTC 2013 年 6 月 8 日 (土) 2 時 17 分 44 秒 (日本時間)

23×10202+319

c149

composite cofactor 合成数の残り
97200480073765600171954909726128910677022749230200778680647500018456878105209312566659858579186958454440776170155039042524238182283796087047213406323<149>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovApril 11, 2011 06:21:36 UTC 2011 年 4 月 11 日 (月) 15 時 21 分 36 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 16:07:09 UTC 2013 年 6 月 1 日 (土) 1 時 7 分 9 秒 (日本時間)
4511e644501000Dmitry DomanovMay 31, 2013 16:07:09 UTC 2013 年 6 月 1 日 (土) 1 時 7 分 9 秒 (日本時間)
3450Ignacio SantosNovember 18, 2021 14:42:30 UTC 2021 年 11 月 18 日 (木) 23 時 42 分 30 秒 (日本時間)

23×10205+319

c192

name 名前Dmitry Domanov
date 日付August 15, 2009 16:27:27 UTC 2009 年 8 月 16 日 (日) 1 時 27 分 27 秒 (日本時間)
composite number 合成数
630289848056318949921804854774238897691073455870335341965563408343164697044994757493537286868407288250025813769792345880996857612634224104718229803490258346204985046730738237268017017485222931<192>
prime factors 素因数
4202462726885897525922861991796773<34>
composite cofactor 合成数の残り
149981068011369458327294192549304395213719767345838336061005720263500366352537864270906566505780532829539650383016948492667426233305737362820224459405598540247<159>
factorization results 素因数分解の結果
C192=P34*C159
C192=4202462726885897525922861991796773<34>*149981068011369458327294192549304395213719767345838336061005720263500366352537864270906566505780532829539650383016948492667426233305737362820224459405598540247<159>
software ソフトウェア
ECMNET

c159

name 名前Bob Backstrom
date 日付September 26, 2021 10:50:43 UTC 2021 年 9 月 26 日 (日) 19 時 50 分 43 秒 (日本時間)
composite number 合成数
149981068011369458327294192549304395213719767345838336061005720263500366352537864270906566505780532829539650383016948492667426233305737362820224459405598540247<159>
prime factors 素因数
230822234534785820526337219836619324481980425869<48>
649768720563905294964686006205406648754008668060031043956662049872713282028788339328170647199329619482803704563<111>
factorization results 素因数分解の結果
#
# N = 23x10^205+31 = 25(204)9
#
n: 149981068011369458327294192549304395213719767345838336061005720263500366352537864270906566505780532829539650383016948492667426233305737362820224459405598540247
m: 100000000000000000000000000000000000000000
deg: 5
c5: 23
c0: 31
skew: 1.06
# Murphy_E = 8.263e-12
type: snfs
lss: 1
rlim: 19300000
alim: 19300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 149981068011369458327294192549304395213719767345838336061005720263500366352537864270906566505780532829539650383016948492667426233305737362820224459405598540247 (159 digits)
Using B1=35950000, B2=192389627446, polynomial Dickson(12), sigma=1:3233387841
Step 1 took 84402ms
Step 2 took 29395ms
********** Factor found in step 2: 230822234534785820526337219836619324481980425869
Found prime factor of 48 digits: 230822234534785820526337219836619324481980425869
Prime cofactor 649768720563905294964686006205406648754008668060031043956662049872713282028788339328170647199329619482803704563 has 111 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 14, 2008 09:00:00 UTC 2008 年 8 月 14 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61000Dmitry DomanovMay 31, 2013 16:07:30 UTC 2013 年 6 月 1 日 (土) 1 時 7 分 30 秒 (日本時間)
4511e61400 / 4258400Dmitry DomanovAugust 15, 2009 16:26:37 UTC 2009 年 8 月 16 日 (日) 1 時 26 分 37 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 16:07:30 UTC 2013 年 6 月 1 日 (土) 1 時 7 分 30 秒 (日本時間)

23×10209+319

c185

name 名前Dmitry Domanov
date 日付April 22, 2013 15:30:10 UTC 2013 年 4 月 23 日 (火) 0 時 30 分 10 秒 (日本時間)
composite number 合成数
22205656077724181375557246059464464420352831451474042675485145440007335509979382238588990207241168749617882439669206365196015810234776244690943939543506524159016658387760767287573561469<185>
prime factors 素因数
1745073918961982021518863202597<31>
composite cofactor 合成数の残り
12724765315920093829283464334573363363907529046871673317400690033728305314681802268887260192808291665130810580893612354473090211269291854006519167466579577<155>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=722877100
Step 1 took 32034ms
Step 2 took 11603ms
********** Factor found in step 2: 1745073918961982021518863202597
Found probable prime factor of 31 digits: 1745073918961982021518863202597

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 20, 2013 13:00:00 UTC 2013 年 4 月 20 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:07:47 UTC 2013 年 6 月 1 日 (土) 1 時 7 分 47 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 31, 2013 16:07:47 UTC 2013 年 6 月 1 日 (土) 1 時 7 分 47 秒 (日本時間)

23×10210+319

c162

composite cofactor 合成数の残り
378196797300899170209510569832901220137787305932142202730304249378412825490289200568626533513053127387447462891907389098467909782644523801411720735395388001865793<162>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 20, 2013 13:00:00 UTC 2013 年 4 月 20 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:07:59 UTC 2013 年 6 月 1 日 (土) 1 時 7 分 59 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 31, 2013 16:07:59 UTC 2013 年 6 月 1 日 (土) 1 時 7 分 59 秒 (日本時間)

23×10211+319

c173

name 名前Dmitry Domanov
date 日付April 22, 2013 15:01:21 UTC 2013 年 4 月 23 日 (火) 0 時 1 分 21 秒 (日本時間)
composite number 合成数
71154201128134964695514714930158316635957930891501780731765370839856595388273714758885605715110539697874091299164474718441442117108638383580731106688635100301387626459412469<173>
prime factors 素因数
1208649564059259483729299852053<31>
composite cofactor 合成数の残り
58870828438611267968426973661538615448810111670196937750149686203530956952119845921334586060700451320183909689213170096323738971964875710034273<143>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=511837750
Step 1 took 27128ms
Step 2 took 10297ms
********** Factor found in step 2: 1208649564059259483729299852053
Found probable prime factor of 31 digits: 1208649564059259483729299852053

c143

name 名前Dmitry Domanov
date 日付June 4, 2013 12:05:48 UTC 2013 年 6 月 4 日 (火) 21 時 5 分 48 秒 (日本時間)
composite number 合成数
58870828438611267968426973661538615448810111670196937750149686203530956952119845921334586060700451320183909689213170096323738971964875710034273<143>
prime factors 素因数
56391605912219316333217859253846913842119009021879<50>
1043964389491783153006682097481682074555382782317421204728762405422238451935155318642127845287<94>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2100240931
Step 1 took 63390ms
Step 2 took 22923ms
********** Factor found in step 2: 56391605912219316333217859253846913842119009021879
Found probable prime factor of 50 digits: 56391605912219316333217859253846913842119009021879

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaApril 20, 2013 13:00:00 UTC 2013 年 4 月 20 日 (土) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 19, 2013 08:55:17 UTC 2013 年 5 月 19 日 (日) 17 時 55 分 17 秒 (日本時間)
403e61110110Ignacio SantosMay 19, 2013 08:55:17 UTC 2013 年 5 月 19 日 (日) 17 時 55 分 17 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 16:08:15 UTC 2013 年 6 月 1 日 (土) 1 時 8 分 15 秒 (日本時間)
4511e61032 / 421632Ignacio SantosMay 19, 2013 08:55:17 UTC 2013 年 5 月 19 日 (日) 17 時 55 分 17 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 16:08:15 UTC 2013 年 6 月 1 日 (土) 1 時 8 分 15 秒 (日本時間)

23×10212+319

c203

name 名前Dmitry Domanov
date 日付April 22, 2013 14:58:26 UTC 2013 年 4 月 22 日 (月) 23 時 58 分 26 秒 (日本時間)
composite number 合成数
53660519145343109703467655263948455334349022019443758507277608135517539662311649928030515221864895961998944029622022832644265646806075836371348530227015077790636571633076986424924700868926832619466647859<203>
prime factors 素因数
408686081763511820935458286577<30>
composite cofactor 合成数の残り
131300089579253224481171490580433593501341388428692089487295833059778013109099881333874042321100430869136188552284648444505431296293561744216664227467556006896434127832013667<174>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2219446662
Step 1 took 37587ms
Step 2 took 12780ms
********** Factor found in step 2: 408686081763511820935458286577
Found probable prime factor of 30 digits: 408686081763511820935458286577

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 20, 2013 13:00:00 UTC 2013 年 4 月 20 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:08:29 UTC 2013 年 6 月 1 日 (土) 1 時 8 分 29 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 7, 2013 17:13:59 UTC 2013 年 6 月 8 日 (土) 2 時 13 分 59 秒 (日本時間)

23×10213+319

c202

composite cofactor 合成数の残り
4644308652134987640084756438550434505167134465340284636560352273050564298525906069319130214868694428160581614398154743083850337276103272152608726409709614873465685597358131235477200973391671054238729073<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 20, 2013 13:00:00 UTC 2013 年 4 月 20 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:08:38 UTC 2013 年 6 月 1 日 (土) 1 時 8 分 38 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 7, 2013 17:14:10 UTC 2013 年 6 月 8 日 (土) 2 時 14 分 10 秒 (日本時間)

23×10214+319

c211

name 名前Bob Backstrom
date 日付September 15, 2017 23:30:56 UTC 2017 年 9 月 16 日 (土) 8 時 30 分 56 秒 (日本時間)
composite number 合成数
3012561069852122545745084941124078221803083290764535607162036491283220034840923677420199876877938884304556826070441536668107456743552464405936055116769486685789880414423618478787640640758641465938412773258936173<211>
prime factors 素因数
2104714011988704361652578406119999612064386980942869217686242411<64>
8721074636521823300123333308475653397068550456694902521735176840846119<70>
164124253568301949168599188794999475605434758706562478559987727328000327656097<78>
factorization results 素因数分解の結果
Number: n
N=3012561069852122545745084941124078221803083290764535607162036491283220034840923677420199876877938884304556826070441536668107456743552464405936055116769486685789880414423618478787640640758641465938412773258936173
  ( 211 digits)
SNFS difficulty: 216 digits.
Divisors found:

Sat Sep 16 09:24:01 2017  prp64 factor: 2104714011988704361652578406119999612064386980942869217686242411
Sat Sep 16 09:24:01 2017  prp70 factor: 8721074636521823300123333308475653397068550456694902521735176840846119
Sat Sep 16 09:24:01 2017  prp78 factor: 164124253568301949168599188794999475605434758706562478559987727328000327656097
Sat Sep 16 09:24:01 2017  elapsed time 15:33:21 (Msieve 1.44 - dependency 5)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=3.798).
Factorization parameters were as follows:
#
# 23x10^214+31 25(213)9
#
n: 3012561069852122545745084941124078221803083290764535607162036491283220034840923677420199876877938884304556826070441536668107456743552464405936055116769486685789880414423618478787640640758641465938412773258936173
m: 500000000000000000000000000000000000
deg: 6
c6: 368
c0: 775
skew: 1.13
# Murphy_E = 3.104e-12
type: snfs
lss: 1
rlim: 29000000
alim: 29000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 29000000/29000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 42500000)
Primes: RFBsize:1799676, AFBsize:1798806,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 13969305 hash collisions in 74047711 relations (62510520 unique)
Msieve: matrix is 3487525 x 3487750 (992.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 14hrs 36min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 33min 24sec.

Prototype def-par.txt line would be:
snfs,216,6,0,0,0,0,0,0,0,0,29000000,29000000,29,29,58,58,2.6,2.6,100000
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
351e6418118Makoto KamadaApril 20, 2013 13:00:00 UTC 2013 年 4 月 20 日 (土) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 20, 2013 18:05:26 UTC 2013 年 5 月 21 日 (火) 3 時 5 分 26 秒 (日本時間)
403e61110110Ignacio SantosMay 20, 2013 18:05:26 UTC 2013 年 5 月 21 日 (火) 3 時 5 分 26 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 16:08:55 UTC 2013 年 6 月 1 日 (土) 1 時 8 分 55 秒 (日本時間)
4511e6498232Ignacio SantosMay 20, 2013 18:05:26 UTC 2013 年 5 月 21 日 (火) 3 時 5 分 26 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 16:08:55 UTC 2013 年 6 月 1 日 (土) 1 時 8 分 55 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:14:30 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 30 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:44 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 44 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:15 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 15 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:29 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 29 秒 (日本時間)

23×10215+319

c179

name 名前Dmitry Domanov
date 日付April 22, 2013 15:30:48 UTC 2013 年 4 月 23 日 (火) 0 時 30 分 48 秒 (日本時間)
composite number 合成数
75511779864950126068483470110526508357690943874235494779714860635759859897143371961602932924671412210916063603924953938451955534091199853630706064759834877061924420029572926287293<179>
prime factors 素因数
178573868635602806089051448495721317<36>
422860189130130749444399973816830413751134573685482165013003471429636067941039363269986099690509662432851608305536126427697178464548213145022329<144>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1443912893
Step 1 took 31452ms
Step 2 took 11219ms
********** Factor found in step 2: 178573868635602806089051448495721317
Found probable prime factor of 36 digits: 178573868635602806089051448495721317

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 20, 2013 13:00:00 UTC 2013 年 4 月 20 日 (土) 22 時 0 分 0 秒 (日本時間)

23×10216+319

c172

name 名前Dmitry Domanov
date 日付April 23, 2013 05:10:11 UTC 2013 年 4 月 23 日 (火) 14 時 10 分 11 秒 (日本時間)
composite number 合成数
1125763491094960995381300445444490184509544703198733063214390482141136918348535912708927754596876102086348669514148175921218202470392564484805321687550148798537639356103621<172>
prime factors 素因数
16988496559582488678726880088027<32>
66266222390348348367754161457576008174672256144521647084817922047772549252891328118175772854947418582670916139952029968679727620265568077023<140>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2586562780
Step 1 took 26761ms
Step 2 took 10226ms
********** Factor found in step 2: 16988496559582488678726880088027
Found probable prime factor of 32 digits: 16988496559582488678726880088027

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 20, 2013 13:00:00 UTC 2013 年 4 月 20 日 (土) 22 時 0 分 0 秒 (日本時間)

23×10217+319

c179

composite cofactor 合成数の残り
25263351179228618260652658431858832428879821464516723708956620938428127986713958907762190564170144592060735529188028748045213046061444346579536487546147991272933001206779527868261<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 20, 2013 13:00:00 UTC 2013 年 4 月 20 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:09:09 UTC 2013 年 6 月 1 日 (土) 1 時 9 分 9 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 7, 2013 17:14:30 UTC 2013 年 6 月 8 日 (土) 2 時 14 分 30 秒 (日本時間)

23×10218+319

c203

composite cofactor 合成数の残り
21572345401293212289229841460942469970252746714781424409102081132171676524252356276451108349169729455503729839497757075275415239459600742338137442489908851834812557909667857012171669602399286836159090347<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 20, 2013 13:00:00 UTC 2013 年 4 月 20 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:09:18 UTC 2013 年 6 月 1 日 (土) 1 時 9 分 18 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 7, 2013 17:14:42 UTC 2013 年 6 月 8 日 (土) 2 時 14 分 42 秒 (日本時間)

23×10219+319

c198

name 名前Erik Branger
date 日付November 22, 2020 19:10:21 UTC 2020 年 11 月 23 日 (月) 4 時 10 分 21 秒 (日本時間)
composite number 合成数
381009510648902933682760642419964169736033916014764617966368004159674244744988124792817741766904637627757732795665997259625022268323658530494441264468748182488200367644909743461703232726453851088711<198>
prime factors 素因数
4854682623418532852440310239327722378890541618676798181<55>
78482887596183703576656577169925761227992778181208444861020056498015687881060487319376962700936961373577154421186837921937512314710159240467131<143>
factorization results 素因数分解の結果
Number: 25559_219
N = 381009510648902933682760642419964169736033916014764617966368004159674244744988124792817741766904637627757732795665997259625022268323658530494441264468748182488200367644909743461703232726453851088711 (198 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=4854682623418532852440310239327722378890541618676798181 (pp55)
r2=78482887596183703576656577169925761227992778181208444861020056498015687881060487319376962700936961373577154421186837921937512314710159240467131 (pp143)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 71.76 hours.
Factorization parameters were as follows:
n: 381009510648902933682760642419964169736033916014764617966368004159674244744988124792817741766904637627757732795665997259625022268323658530494441264468748182488200367644909743461703232726453851088711
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 23
c0: 310
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 8058368 relations
Pruned matrix : 6882675 x 6882901
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 36.30 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 34.89 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 71.76 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-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 KamadaApril 20, 2013 13:00:00 UTC 2013 年 4 月 20 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:09:28 UTC 2013 年 6 月 1 日 (土) 1 時 9 分 28 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 7, 2013 17:14:53 UTC 2013 年 6 月 8 日 (土) 2 時 14 分 53 秒 (日本時間)

23×10223+319

c203

name 名前Dmitry Domanov
date 日付April 23, 2013 09:40:11 UTC 2013 年 4 月 23 日 (火) 18 時 40 分 11 秒 (日本時間)
composite number 合成数
22580450121655299404305144301159367336415569966795801376757057729482979828662091923924268516764095356818461504219454963487872052386696518283798723978533796283291021329733690777023427953781955717452707181<203>
prime factors 素因数
3102344999995800670432848491966011<34>
composite cofactor 合成数の残り
7278510327409061296512106414842836743957905519669381648866484745038198971897124389984176263679948645699482612108231739830074009778450755188815068218528102162181549156471<169>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3670327537
Step 1 took 36077ms
Step 2 took 13026ms
********** Factor found in step 2: 3102344999995800670432848491966011
Found probable prime factor of 34 digits: 3102344999995800670432848491966011

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 20, 2013 13:00:00 UTC 2013 年 4 月 20 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:09:40 UTC 2013 年 6 月 1 日 (土) 1 時 9 分 40 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 31, 2013 16:09:40 UTC 2013 年 6 月 1 日 (土) 1 時 9 分 40 秒 (日本時間)

23×10225+319

c218

name 名前Dmitry Domanov
date 日付April 23, 2013 05:11:24 UTC 2013 年 4 月 23 日 (火) 14 時 11 分 24 秒 (日本時間)
composite number 合成数
16733155898003810673603907169203294149891465076826534896177791940720929848203131916124805791445946245913818803756913902660876403972801296908631585813399657626680319234013277629704989943566100356795481243552010239247993<218>
prime factors 素因数
3675883581211931870372560252516693<34>
composite cofactor 合成数の残り
4552145226668718598220611979451659539777077376006568293787772844137099043882966080972550983590341045508636612950255954823444456622541059176937217766952924529999012449044597511297534101<184>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1083460969
Step 1 took 41826ms
Step 2 took 14152ms
********** Factor found in step 2: 3675883581211931870372560252516693
Found probable prime factor of 34 digits: 3675883581211931870372560252516693

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 20, 2013 13:00:00 UTC 2013 年 4 月 20 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:09:53 UTC 2013 年 6 月 1 日 (土) 1 時 9 分 53 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 7, 2013 17:15:09 UTC 2013 年 6 月 8 日 (土) 2 時 15 分 9 秒 (日本時間)

23×10226+319

c198

name 名前Dmitry Domanov
date 日付April 22, 2013 15:01:49 UTC 2013 年 4 月 23 日 (火) 0 時 1 分 49 秒 (日本時間)
composite number 合成数
407332828117577731816691303515896991072656090624178014965182768264810733630005325986726622673581195494462494855487727460226631051736535387890146372618849547708615216384476082539511642923132954597329<198>
prime factors 素因数
59276945141627349588718708363501<32>
composite cofactor 合成数の残り
6871690623468507049767774586688225049061323109722780159644429075405219948507815111533547904075103472494302321832986231697881573971104022901947228084955069456278755829<166>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2412019457
Step 1 took 36707ms
Step 2 took 12609ms
********** Factor found in step 2: 59276945141627349588718708363501
Found probable prime factor of 32 digits: 59276945141627349588718708363501

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 20, 2013 13:00:00 UTC 2013 年 4 月 20 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:10:06 UTC 2013 年 6 月 1 日 (土) 1 時 10 分 6 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 31, 2013 16:10:06 UTC 2013 年 6 月 1 日 (土) 1 時 10 分 6 秒 (日本時間)

23×10228+319

c172

name 名前Dmitry Domanov
date 日付June 8, 2013 06:37:10 UTC 2013 年 6 月 8 日 (土) 15 時 37 分 10 秒 (日本時間)
composite number 合成数
2370187552330213924716363791783731432190867595450862614986276781847983494241923241392987733975765924900242188736693629072584902879159360728134988288535521947345528404964629<172>
prime factors 素因数
363647531002392416345821691485907122637<39>
6517815605118519548325014054240005779627552364324179102209026739032866996527023099372091314629981056600592360722794968996111779725417<133>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3916645793
Step 1 took 218612ms
Step 2 took 67943ms
********** Factor found in step 2: 363647531002392416345821691485907122637
Found probable prime factor of 39 digits: 363647531002392416345821691485907122637

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 20, 2013 13:00:00 UTC 2013 年 4 月 20 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:10:20 UTC 2013 年 6 月 1 日 (土) 1 時 10 分 20 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 7, 2013 23:32:10 UTC 2013 年 6 月 8 日 (土) 8 時 32 分 10 秒 (日本時間)

23×10230+319

c220

composite cofactor 合成数の残り
3005952089013170498692317667873464797223360282577208377940189907866051158617288727883130079659664375353732380492361624128597922915386227765483136601884589940598860386426701960516126078141237282295999010181474910019627037<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 20, 2013 13:00:00 UTC 2013 年 4 月 20 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:10:29 UTC 2013 年 6 月 1 日 (土) 1 時 10 分 29 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 10, 2013 15:13:30 UTC 2013 年 6 月 11 日 (火) 0 時 13 分 30 秒 (日本時間)

23×10231+319

c222

name 名前Dmitry Domanov
date 日付April 23, 2013 05:10:51 UTC 2013 年 4 月 23 日 (火) 14 時 10 分 51 秒 (日本時間)
composite number 合成数
347383153934517725741950499629112697971465060760901411464601319795897673455045552419657895249415488019047298411673370454461848448145341502204611144480517875637751215142734441038258524592628054612820997684790555090387687713<222>
prime factors 素因数
198056627965015531284833787163800011417<39>
composite cofactor 合成数の残り
1753958741516487095106084228201431104054363065519985874201982780639507575210101233297560335307266531019839404144807425194747331189240100142784852130988579869831199879389993053628114889<184>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=887797892
Step 1 took 42405ms
Step 2 took 14578ms
********** Factor found in step 2: 198056627965015531284833787163800011417
Found probable prime factor of 39 digits: 198056627965015531284833787163800011417

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 20, 2013 13:00:00 UTC 2013 年 4 月 20 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:10:38 UTC 2013 年 6 月 1 日 (土) 1 時 10 分 38 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 11, 2013 14:16:40 UTC 2013 年 6 月 11 日 (火) 23 時 16 分 40 秒 (日本時間)

23×10232+319

c229

name 名前Dmitry Domanov
date 日付April 22, 2013 15:29:37 UTC 2013 年 4 月 23 日 (火) 0 時 29 分 37 秒 (日本時間)
composite number 合成数
5703092067742815343797267475017977138039624091844578343127774058369907510724292692603337548662252969327283096531032259664261449577227305412978253861985171960623868680106127104564953259441096977361204096307867787448238240472116839<229>
prime factors 素因数
12137436793032230814918517897<29>
composite cofactor 合成数の残り
469876149716948796025842644553928702892599224868630186757887160722499054434621594732167809594152086939340777369489329162067470165753917128615633674878723466376316783109111427686835859684205563748933487<201>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=269538329
Step 1 took 42331ms
Step 2 took 14471ms
********** Factor found in step 2: 12137436793032230814918517897
Found probable prime factor of 29 digits: 12137436793032230814918517897

c201

name 名前Dmitry Domanov
date 日付June 11, 2013 08:26:58 UTC 2013 年 6 月 11 日 (火) 17 時 26 分 58 秒 (日本時間)
composite number 合成数
469876149716948796025842644553928702892599224868630186757887160722499054434621594732167809594152086939340777369489329162067470165753917128615633674878723466376316783109111427686835859684205563748933487<201>
prime factors 素因数
2244590624697967158359511667668698964921034300577<49>
composite cofactor 合成数の残り
209337125686415750291999395323006058272075844129156864405028580276976150617135052367393806364702630048920106066140697605002136541658436847008413372002831<153>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3625851450
Step 1 took 100773ms
Step 2 took 33994ms
********** Factor found in step 2: 2244590624697967158359511667668698964921034300577
Found probable prime factor of 49 digits: 2244590624697967158359511667668698964921034300577

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 20, 2013 13:00:00 UTC 2013 年 4 月 20 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:10:50 UTC 2013 年 6 月 1 日 (土) 1 時 10 分 50 秒 (日本時間)
4511e643221000Dmitry DomanovJune 10, 2013 15:14:08 UTC 2013 年 6 月 11 日 (火) 0 時 14 分 8 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:34 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 34 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:29 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 29 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:31 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 31 秒 (日本時間)
1172Ignacio SantosJanuary 9, 2016 20:48:14 UTC 2016 年 1 月 10 日 (日) 5 時 48 分 14 秒 (日本時間)
5043e65000 / 6545yoyo@HomeMarch 12, 2021 17:11:43 UTC 2021 年 3 月 13 日 (土) 2 時 11 分 43 秒 (日本時間)

23×10233+319

c215

composite cofactor 合成数の残り
30123621988665624444494035936612790393487651908642620791808072651389073374789318926887496584922106528709982857958836811863586342930471845552484133031523215563610629058247442116983076811916937487730591916634410769079<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 20, 2013 13:00:00 UTC 2013 年 4 月 20 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:10:59 UTC 2013 年 6 月 1 日 (土) 1 時 10 分 59 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 10, 2013 15:13:56 UTC 2013 年 6 月 11 日 (火) 0 時 13 分 56 秒 (日本時間)

23×10234+319

c206

name 名前Dmitry Domanov
date 日付April 22, 2013 15:02:54 UTC 2013 年 4 月 23 日 (火) 0 時 2 分 54 秒 (日本時間)
composite number 合成数
35747501307486615299693390034016725770995845074144367726092667181347953174042040508036732950808153118273707030691592315227121013399539476483697943671576024924791973492924661976443006416922374997167835690607<206>
prime factors 素因数
4999420809383455689541178916293<31>
7150328542136685965480685451412309992958418708557002908523006057195743546815793522679901263388343672305661547764720131611864083908602452722643384289769672212456611825721883299<175>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3955276457
Step 1 took 37719ms
Step 2 took 12979ms
********** Factor found in step 2: 4999420809383455689541178916293
Found probable prime factor of 31 digits: 4999420809383455689541178916293

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 20, 2013 13:00:00 UTC 2013 年 4 月 20 日 (土) 22 時 0 分 0 秒 (日本時間)

23×10235+319

c206

name 名前Dmitry Domanov
date 日付April 22, 2013 15:00:20 UTC 2013 年 4 月 23 日 (火) 0 時 0 分 20 秒 (日本時間)
composite number 合成数
90180672636576902502306422729551892609288750306781311980296479231476990442427617059703452526765088476446900361547274483294639769096851342483037522701640896626502681451466537006245640773217133068529113701329<206>
prime factors 素因数
3537288196726973701885278588112319<34>
25494296088178623401632449876957029265882082851780294533017015338577705759410924912698610502010392893235384049956194878704662668512020181241345809692704683933508703092103791<173>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=266588936
Step 1 took 37815ms
********** Factor found in step 1: 3537288196726973701885278588112319
Found probable prime factor of 34 digits: 3537288196726973701885278588112319

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 20, 2013 13:00:00 UTC 2013 年 4 月 20 日 (土) 22 時 0 分 0 秒 (日本時間)

23×10236+319

c184

composite cofactor 合成数の残り
1601808395726124554683561546888465145356846335626287188615191395515735914137934355271062848332540822019920280357916713472267515968800678608730244274247677022570724331773391009045908967<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 20, 2013 13:00:00 UTC 2013 年 4 月 20 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:11:08 UTC 2013 年 6 月 1 日 (土) 1 時 11 分 8 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 11, 2013 14:16:54 UTC 2013 年 6 月 11 日 (火) 23 時 16 分 54 秒 (日本時間)

23×10237+319

c217

composite cofactor 合成数の残り
6394584735766635517230380571289643605349603701893631046878407239699212059477080032260401061979268714068506413624327895498643912811983574880893560436803622630668235446870129159317643699972330383960767931299218443037819<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 20, 2013 13:00:00 UTC 2013 年 4 月 20 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:11:17 UTC 2013 年 6 月 1 日 (土) 1 時 11 分 17 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 10, 2013 16:03:07 UTC 2013 年 6 月 11 日 (火) 1 時 3 分 7 秒 (日本時間)

23×10238+319

c222

composite cofactor 合成数の残り
396611903818939878509704885577133891370465622755183833889705617848353755420477447909158595851764978187731112604013666955219641341714832757548021922949629335319561692142546970086027667896083731695444367812909737273943002753<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 20, 2013 13:00:00 UTC 2013 年 4 月 20 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:11:27 UTC 2013 年 6 月 1 日 (土) 1 時 11 分 27 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 10, 2013 16:03:19 UTC 2013 年 6 月 11 日 (火) 1 時 3 分 19 秒 (日本時間)

23×10239+319

c177

composite cofactor 合成数の残り
416185711773458514547545826737493056337623047528056425887645113685114430850405321124454765085047809966840987710978640869254899801513482603835832647411125629937604100597422313613<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 20, 2013 13:00:00 UTC 2013 年 4 月 20 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:11:36 UTC 2013 年 6 月 1 日 (土) 1 時 11 分 36 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 11, 2013 14:17:07 UTC 2013 年 6 月 11 日 (火) 23 時 17 分 7 秒 (日本時間)

23×10242+319

c223

name 名前Dmitry Domanov
date 日付June 11, 2013 08:25:48 UTC 2013 年 6 月 11 日 (火) 17 時 25 分 48 秒 (日本時間)
composite number 合成数
1449140232566798311321522959134866190997562932771406580111450887058519601626581645482426739516248957091008316861184598493375276074694047900744281165464529870324063208115899009105878218176672689644741231936955708634629431373<223>
prime factors 素因数
22239793205291429592732999651510898078519575637<47>
65159788995790207058803073378113536198981156316535895933385540564870884390207350929137263120111294064549564171555032445512966015182868499109643772343122980346488786259647816729<176>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4205760587
Step 1 took 133054ms
Step 2 took 39690ms
********** Factor found in step 2: 22239793205291429592732999651510898078519575637
Found probable prime factor of 47 digits: 22239793205291429592732999651510898078519575637

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 20, 2013 13:00:00 UTC 2013 年 4 月 20 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:11:45 UTC 2013 年 6 月 1 日 (土) 1 時 11 分 45 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 10, 2013 16:03:33 UTC 2013 年 6 月 11 日 (火) 1 時 3 分 33 秒 (日本時間)

23×10244+319

c226

composite cofactor 合成数の残り
5533403317500640739674103525104605996963327222351692639716979220608025711557289659883183284812299361266929257376697173644424832751504078397896119358369894695275736582908671171086202864676961384272479984821982618011614825684189<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 20, 2013 13:00:00 UTC 2013 年 4 月 20 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:11:55 UTC 2013 年 6 月 1 日 (土) 1 時 11 分 55 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 15:53:36 UTC 2013 年 6 月 15 日 (土) 0 時 53 分 36 秒 (日本時間)

23×10247+319

c222

composite cofactor 合成数の残り
803195262562699006315534656615142213437121706898048252139286274425749350900028723792904951568282908631452198416327037599404438230476447296019965756003790633621232021044909508270513343266981433677258738639715833590320046127<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 20, 2013 13:00:00 UTC 2013 年 4 月 20 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:12:07 UTC 2013 年 6 月 1 日 (土) 1 時 12 分 7 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 15:53:48 UTC 2013 年 6 月 15 日 (土) 0 時 53 分 48 秒 (日本時間)

23×10248+319

c228

composite cofactor 合成数の残り
227780490652333317758216651757662437597612495465692504921355881288953993685016220783625263290295042122900000266279498399663709558345368657885913071115257551330341454826885584179147548830446382632219403874640717400854495226301433<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 20, 2013 13:00:00 UTC 2013 年 4 月 20 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:12:16 UTC 2013 年 6 月 1 日 (土) 1 時 12 分 16 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 15:53:58 UTC 2013 年 6 月 15 日 (土) 0 時 53 分 58 秒 (日本時間)

23×10249+319

c232

composite cofactor 合成数の残り
2462622653890309480914389849616966310727952008287612378852416487065860279422887538873890340495391510041800577535158405956292605688312766662113650192629696068943130747576781756958368797140147218569060374328462555131177322906894646143<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 20, 2013 13:00:00 UTC 2013 年 4 月 20 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:12:27 UTC 2013 年 6 月 1 日 (土) 1 時 12 分 27 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 31, 2013 16:12:27 UTC 2013 年 6 月 1 日 (土) 1 時 12 分 27 秒 (日本時間)

23×10251+319

c233

composite cofactor 合成数の残り
42140430345322195083633437978827589737460937685838930469450055840440526598453847081625857206092254788293097599287796387682252123091243672818946529111673459714341075009502328113862119836575102527230481959246759931748492278259005563163<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 4, 2022 02:31:35 UTC 2022 年 3 月 4 日 (金) 11 時 31 分 35 秒 (日本時間)

23×10252+319

c217

composite cofactor 合成数の残り
1762840153642183359382270993218902566465084048437568170481352547943181798472897404733605440177779498174813054383009880166776157683056574216039601904920361446668013278683519076692192664328794215555858957065965088051807<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 18, 2022 19:09:37 UTC 2022 年 2 月 19 日 (土) 4 時 9 分 37 秒 (日本時間)

23×10254+319

c252

composite cofactor 合成数の残り
986700986700986700986700986700986700986700986700986700986700986700986700986700986700986700986700986700986700986700986700986700986700986700986700986700986700986700986700986700986700986700986700986700986700986700986700986700986700986700986700986700986701<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 7, 2022 02:50:31 UTC 2022 年 3 月 7 日 (月) 11 時 50 分 31 秒 (日本時間)

23×10255+319

c215

composite cofactor 合成数の残り
88843238805066049674063751638910328645336074473947069060272108545003045630330864290538798545831110964696341918680074781294909805822738951132135407191670163277735508800857332361200380291571134250869912392891139693419<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 19, 2022 05:31:24 UTC 2022 年 2 月 19 日 (土) 14 時 31 分 24 秒 (日本時間)

23×10256+319

c252

composite cofactor 合成数の残り
162485491105332279297017119612634589204887846155911186843479139335547374764307730565145731824055058561890370332692575331452740388453357126860900409816666913927196609563613422997066077197563282800345599574994471961009133803976090613213178844954225011321<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 7, 2022 06:12:34 UTC 2022 年 3 月 7 日 (月) 15 時 12 分 34 秒 (日本時間)

23×10257+319

c182

name 名前Dmitry Domanov
date 日付February 8, 2017 10:12:20 UTC 2017 年 2 月 8 日 (水) 19 時 12 分 20 秒 (日本時間)
composite number 合成数
48089879107745122711061744661928102372795530581548423827352914443872706832547152108245678493818182182906514074414921491154256672500807249695694815122706698263977873090822527033369739<182>
prime factors 素因数
1110266769888147013577420619415479789409013<43>
43313805665452728291660814573476192151456680831109251040853893372120504038294072292380794199290724911290459474589262539719331574202993387903<140>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1198384871
Step 1 took 20215ms
Step 2 took 6371ms
********** Factor found in step 2: 1110266769888147013577420619415479789409013
Found probable prime factor of 43 digits: 1110266769888147013577420619415479789409013

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 8, 2017 09:33:55 UTC 2017 年 2 月 8 日 (水) 18 時 33 分 55 秒 (日本時間)
4511e6320 / 4218Dmitry DomanovFebruary 8, 2017 09:33:55 UTC 2017 年 2 月 8 日 (水) 18 時 33 分 55 秒 (日本時間)

23×10259+319

c208

composite cofactor 合成数の残り
2102990116461522657174149416456377026490101571435199676523786348242133179517786160971026704608521490701179392215515406330119634073650554742335631694950462710694608890979369142173668699500396339356729266873113<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 19, 2022 09:18:47 UTC 2022 年 2 月 19 日 (土) 18 時 18 分 47 秒 (日本時間)

23×10260+319

c230

name 名前Marlon Trifunovic
date 日付February 20, 2022 00:43:48 UTC 2022 年 2 月 20 日 (日) 9 時 43 分 48 秒 (日本時間)
composite number 合成数
80500403565966452460557588016214693832452224781844669467408100125395318686127687899289164318931674456085585783046086581383704536357913539109603110542912268034478699610162548356655514040203166357305876425956491569626930275573590009<230>
prime factors 素因数
390833515041113946680542940221353223<36>
205971086071004346211457312316127297942786693295915602082868670345236310280485697531624440235550404945760489516985198965755185037938947561744783552821322961459190189979745099257324363251452707583<195>
factorization results 素因数分解の結果
Run 66 out of 610:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1588277473
Step 1 took 20531ms
Step 2 took 8593ms
********** Factor found in step 2: 390833515041113946680542940221353223
Found prime factor of 36 digits: 390833515041113946680542940221353223
Prime cofactor 205971086071004346211457312316127297942786693295915602082868670345236310280485697531624440235550404945760489516985198965755185037938947561744783552821322961459190189979745099257324363251452707583 has 195 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)

23×10262+319

c223

name 名前Marlon Trifunovic
date 日付February 20, 2022 00:43:54 UTC 2022 年 2 月 20 日 (日) 9 時 43 分 54 秒 (日本時間)
composite number 合成数
4305652345928930285548353672828859339183923304414755862052923155084373018498562768975291067858468975933534225657608746096417517550423744842023027997561344664665227888927991590025095789927777361116045497844135682105768702321<223>
prime factors 素因数
2138995986536807060971068321340958183<37>
2012931474873919869331221311051766391025078219153116755851295270615826251499365823243313286274613885027144968787233675511629945217105710077308782564304952618196499140301308391620000518887<187>
factorization results 素因数分解の結果
Run 295 out of 610:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3735229951
Step 1 took 20634ms
Step 2 took 8384ms
********** Factor found in step 2: 2138995986536807060971068321340958183
Found prime factor of 37 digits: 2138995986536807060971068321340958183
Prime cofactor 2012931474873919869331221311051766391025078219153116755851295270615826251499365823243313286274613885027144968787233675511629945217105710077308782564304952618196499140301308391620000518887 has 187 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)

23×10263+319

c251

composite cofactor 合成数の残り
12712407140221190615719450735801533956064806286239227342701181270663732060499939669806433750479317755734485795399518067498344658252114242795038412994649788228849358220615349891109902607281386350652803574080412492532449360796476395354331018999568881659<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 4, 2022 18:08:48 UTC 2022 年 3 月 5 日 (土) 3 時 8 分 48 秒 (日本時間)

23×10264+319

c211

composite cofactor 合成数の残り
5661706447286148764662520201350576491085377833996454860750369632035975008225141045187601151059176564171118302933069367622846010976361527652145442150864259776769262645798997034822163580979686934919620203972732127<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 19, 2022 02:20:21 UTC 2022 年 2 月 19 日 (土) 11 時 20 分 21 秒 (日本時間)

23×10266+319

c235

composite cofactor 合成数の残り
7084324994344199000914562010733227744494335502364017603296797721817242652962134201893488744624101257205657921153219191030820184015657758110421322054284420647363033809847561313810371715117455574606994997074023176311599525015472102525063<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 17, 2022 01:21:58 UTC 2022 年 2 月 17 日 (木) 10 時 21 分 58 秒 (日本時間)

23×10267+319

c241

composite cofactor 合成数の残り
3235615613064436919630451237559971172747063353731915426042273811359192146015674910382805544108950844039892739785333473101588501363568254247981533792447635722885102214264720430734638040445044176239986745274414830331197408433993816626908851693<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 3, 2022 17:56:14 UTC 2022 年 3 月 4 日 (金) 2 時 56 分 14 秒 (日本時間)

23×10268+319

c215

composite cofactor 合成数の残り
70722591962418376984530809261319517680864872406013744773992620573315083008047873954333887529502957616889913750626513149490229265688875739734590657610993831149590004766844204676989425564210297729955622026132434337963<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 20, 2022 03:45:01 UTC 2022 年 2 月 20 日 (日) 12 時 45 分 1 秒 (日本時間)

23×10270+319

c191

composite cofactor 合成数の残り
26425425438968465553795826067461096499253858982698615052623918003869665773412235059052762660684555202064736320828099825342164534225527039164637534641188494633129421189615082849861254202198133<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 8, 2017 09:34:38 UTC 2017 年 2 月 8 日 (水) 18 時 34 分 38 秒 (日本時間)
4511e6320 / 4218Dmitry DomanovFebruary 8, 2017 09:34:38 UTC 2017 年 2 月 8 日 (水) 18 時 34 分 38 秒 (日本時間)

23×10274+319

c167

composite cofactor 合成数の残り
38770320221175445501528235506558263104864754120473610998193927877286505659657104463219541959187920167454708067934228646043872502482178468482932896928420331240546057767<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMarch 14, 2016 14:09:40 UTC 2016 年 3 月 14 日 (月) 23 時 9 分 40 秒 (日本時間)
4511e61200Dmitry DomanovMarch 16, 2016 13:41:15 UTC 2016 年 3 月 16 日 (水) 22 時 41 分 15 秒 (日本時間)
5043e6600 / 6944Dmitry DomanovMarch 18, 2016 06:14:34 UTC 2016 年 3 月 18 日 (金) 15 時 14 分 34 秒 (日本時間)
5511e7120 / 17470Dmitry DomanovMarch 24, 2016 13:54:08 UTC 2016 年 3 月 24 日 (木) 22 時 54 分 8 秒 (日本時間)

23×10275+319

c239

name 名前Marlon Trifunovic
date 日付April 15, 2022 00:29:28 UTC 2022 年 4 月 15 日 (金) 9 時 29 分 28 秒 (日本時間)
composite number 合成数
10038479768998712651160687892306460071857614827545720841939862628967441193193383344550609433051306299589428213848845517345170718774190997413907485844112221235987415340412554197523932755671628154387360406452129300079532083151532663406289099<239>
prime factors 素因数
112807966527807551626928684517414994523<39>
composite cofactor 合成数の残り
88987330221258734168304367789444620175295901312057857977284541716639260109840246427209694667714766375799200677806862361289362902068839331215422865722383049892252345479172189333014328534444622629996113<200>
factorization results 素因数分解の結果
Run 8 out of 610:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3307610106
Step 1 took 24803ms
Step 2 took 9106ms
********** Factor found in step 2: 112807966527807551626928684517414994523
Found prime factor of 39 digits: 112807966527807551626928684517414994523
Composite cofactor 88987330221258734168304367789444620175295901312057857977284541716639260109840246427209694667714766375799200677806862361289362902068839331215422865722383049892252345479172189333014328534444622629996113 has 200 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 4, 2022 00:10:36 UTC 2022 年 3 月 4 日 (金) 9 時 10 分 36 秒 (日本時間)

23×10276+319

c232

composite cofactor 合成数の残り
2264508240628888666428945462030051096448026691415044795019529350210286164371941486638963886067052348901575126629061536265490988499580025785970130904976923546049920429931874816230763086344428091110698430315660412907421081878589211029<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 1, 2022 18:04:11 UTC 2022 年 3 月 2 日 (水) 3 時 4 分 11 秒 (日本時間)

23×10278+319

c251

composite cofactor 合成数の残り
41457172200879120283879123179051343313271618948661555152750423396841521530433125565577062597162888556071059212410575318216229977042098167683002597724985822915803643697250626089069892120923764351594490242294039218475006450331558260320510509789152639263<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 8, 2022 01:57:53 UTC 2022 年 3 月 8 日 (火) 10 時 57 分 53 秒 (日本時間)

23×10279+319

c261

composite cofactor 合成数の残り
278383929952635670227924009832373034910116410963010883658972422635512035381197986313773844389466610029941352888792670641623749669281960144443392704882623102476683057918169062109894403978428633280031602711357706124177065409794314109323973460359412681011606364217<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 8, 2022 08:20:51 UTC 2022 年 3 月 8 日 (火) 17 時 20 分 51 秒 (日本時間)

23×10281+319

c271

composite cofactor 合成数の残り
1284313008561004862947245128583661669579046707776399884547073196639422683533924492270890733466975841098848287544827496823848407912443489358010789712172099149079118697121910923962772199980296083335863501295410184073500815589062788806220702618616718686362915743148157187829<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 9, 2022 23:42:23 UTC 2022 年 3 月 10 日 (木) 8 時 42 分 23 秒 (日本時間)

23×10282+319

c230

name 名前Serge Batalov
date 日付March 24, 2016 20:44:03 UTC 2016 年 3 月 25 日 (金) 5 時 44 分 3 秒 (日本時間)
composite number 合成数
54520271857852549292240275633611767808317558576299289591879567694608977492584579919277605581110273724101340055383120133511354080891119019765639899621356371822132978531194689653643231520846860124290790304522969388404902027789220327<230>
prime factors 素因数
12340565384757657158117162241697867655475269<44>
composite cofactor 合成数の残り
4417971961413760879540770026422135130062089073595578858958170893879411505747674998692347174488235309955508852197105491629770072513499820761297848885759933581887287554791373682675610817083<187>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=4089020281
Step 1 took 89536ms
Step 2 took 39080ms
********** Factor found in step 2: 12340565384757657158117162241697867655475269
Found probable prime factor of 44 digits: 12340565384757657158117162241697867655475269
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e60--
4511e61600Serge BatalovMarch 24, 2016 19:56:53 UTC 2016 年 3 月 25 日 (金) 4 時 56 分 53 秒 (日本時間)
5043e6400 / 6707Dmitry DomanovMarch 28, 2016 09:14:07 UTC 2016 年 3 月 28 日 (月) 18 時 14 分 7 秒 (日本時間)
5511e7200 / 17526Dmitry DomanovMarch 28, 2016 14:42:40 UTC 2016 年 3 月 28 日 (月) 23 時 42 分 40 秒 (日本時間)

23×10283+319

c273

composite cofactor 合成数の残り
174468991464236423657865846940234847855121331098813177691665254656860947201217595227711965688940858191303498732589041144377837585442655126878148632604644586030846210124548677455167935676359230037207844981551385967107958067584932670105098041341427175604165729089128328515371<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 10, 2022 01:20:20 UTC 2022 年 3 月 10 日 (木) 10 時 20 分 20 秒 (日本時間)

23×10284+319

c246

composite cofactor 合成数の残り
617088739580189707307394162660144597408220726681122393487039369597949493439365387569800530781879306742537249460149530337749033059485592951247414202508675835079806574469564238425253456839612956069492189527279581195416067020087833787507296183480399<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 3, 2022 12:11:58 UTC 2022 年 3 月 3 日 (木) 21 時 11 分 58 秒 (日本時間)

23×10285+319

c258

composite cofactor 合成数の残り
823810036269266750298426410809887390197705523568627791053015771844266106172007555675852099633487964387513167269361059211177024332463038250041293299455465159598218794115471783432752197897105089966438587925938957122303088845322984768458905300861896521578719553<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 7, 2022 03:04:42 UTC 2022 年 3 月 7 日 (月) 12 時 4 分 42 秒 (日本時間)

23×10286+319

c251

composite cofactor 合成数の残り
26166867663760167928511079641536386203468023929507946427820006382647326420046004613178388377365045259953140258432345920733418699767037584115003293881383907570370145567247623605895873707025727353358475309409048277184392324958985967012269190018775759523<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 2, 2022 01:35:14 UTC 2022 年 3 月 2 日 (水) 10 時 35 分 14 秒 (日本時間)

23×10287+319

c219

composite cofactor 合成数の残り
499661676011318970364222237182956161515198928811929551568105460852404858241983433759018751707790709815218386392614975397810684991051808976111937234746081212500587361145737960735169254074717493696985199504246692853454799<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 20, 2022 18:38:56 UTC 2022 年 2 月 21 日 (月) 3 時 38 分 56 秒 (日本時間)

23×10288+319

c242

composite cofactor 合成数の残り
34512593316397959012885515973446416153796689496835618554198105772050324874472901276097725787835840442983500727740696195149386841945802146646418436966328520982724244642581335447352295151455943943461390014148901086041267139131636011093638433131<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 3, 2022 05:19:28 UTC 2022 年 3 月 3 日 (木) 14 時 19 分 28 秒 (日本時間)

23×10289+319

c277

composite cofactor 合成数の残り
1103350840608700367340859169698445281207632544239733664685143920107864392335310881297950425437839905507221069751260135177443395763269751310806863182795048775370914268483218174928826550968609692291859094353400182979293456062323000400207742504420860869354840320561050410834960819<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 1, 2022 21:03:04 UTC 2022 年 3 月 2 日 (水) 6 時 3 分 4 秒 (日本時間)

23×10293+319

c246

composite cofactor 合成数の残り
750510652231978591776044834620903727950664493877361454299357814093238684109490459432227477673466030654328117501925151621633941889820073292781248871259982162262368233752517546695030377903832333494271529964833264126784772503087174708281276073594339<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 3, 2022 20:15:03 UTC 2022 年 3 月 4 日 (金) 5 時 15 分 3 秒 (日本時間)

23×10294+319

c249

name 名前Marlon Trifunovic
date 日付April 15, 2022 00:29:33 UTC 2022 年 4 月 15 日 (金) 9 時 29 分 33 秒 (日本時間)
composite number 合成数
383950811037279926799833335511641780286457233626566980673944607237558282901487939645598910050111437733903691007574683135378168704106288662928850953723803170328456823854924726735186907669255230175740576102071136138908192789473257686955629743255363509<249>
prime factors 素因数
6836660911076758581753528827620939379<37>
56160575466775424029296518773546512299930324370756003750404562958217874454647531879466147092870688659984884310334742828121714599644729988760125837158220988825926815368803499807505218747152274406054411275352604471<212>
factorization results 素因数分解の結果
Run 463 out of 610:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3490461928
Step 1 took 24714ms
Step 2 took 3260ms
********** Factor found in step 2: 6836660911076758581753528827620939379
Found prime factor of 37 digits: 6836660911076758581753528827620939379
Prime cofactor 56160575466775424029296518773546512299930324370756003750404562958217874454647531879466147092870688659984884310334742828121714599644729988760125837158220988825926815368803499807505218747152274406054411275352604471 has 212 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)

23×10295+319

c261

composite cofactor 合成数の残り
493081329839458377533324124755115982718028336556740036827745949960154012848976242180094968309377669612894325476804049835346778407864850445372927082580235158856733159618427835500022230078889253342486852012736575585528128893034834850237206008135968755919615572591<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 7, 2022 07:08:18 UTC 2022 年 3 月 7 日 (月) 16 時 8 分 18 秒 (日本時間)

23×10297+319

c202

composite cofactor 合成数の残り
1588886009991151979168684999548549904504592825366096375304725706538256666579820584845025504108640510387735613111285432100896438261291187704504794174710435934780060641667871229619847143499331576995213171<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMarch 14, 2016 14:11:22 UTC 2016 年 3 月 14 日 (月) 23 時 11 分 22 秒 (日本時間)
4511e61200Dmitry DomanovMarch 16, 2016 13:36:29 UTC 2016 年 3 月 16 日 (水) 22 時 36 分 29 秒 (日本時間)
5043e64250850Dmitry DomanovMarch 17, 2016 14:01:21 UTC 2016 年 3 月 17 日 (木) 23 時 1 分 21 秒 (日本時間)
1600Dmitry DomanovAugust 27, 2016 08:39:58 UTC 2016 年 8 月 27 日 (土) 17 時 39 分 58 秒 (日本時間)
1800Dmitry DomanovAugust 29, 2016 16:30:14 UTC 2016 年 8 月 30 日 (火) 1 時 30 分 14 秒 (日本時間)
5511e7162801280Dmitry DomanovSeptember 10, 2016 19:39:11 UTC 2016 年 9 月 11 日 (日) 4 時 39 分 11 秒 (日本時間)
15000SyjApril 22, 2022 10:31:54 UTC 2022 年 4 月 22 日 (金) 19 時 31 分 54 秒 (日本時間)

23×10299+319

c243

composite cofactor 合成数の残り
685923367971275317989535598222316907473482168614622370499765679596353723163880391189267449053533406163195072276219056753733222070491439873234401663603075167466580056057690342596796384432960941678149888508346389371067843493588353037388108785741<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 22, 2022 07:54:04 UTC 2022 年 2 月 22 日 (火) 16 時 54 分 4 秒 (日本時間)