Table of contents 目次

7×10153-27×1076-79

c134

name 名前Dmitry Domanov
date 日付February 10, 2011 20:59:21 UTC 2011 年 2 月 11 日 (金) 5 時 59 分 21 秒 (日本時間)
composite number 合成数
33050832388637916654788683667386916680442671890921920233213078653741616469213604339800019417397235170056083438796844788075968477346059<134>
prime factors 素因数
3042918586011194800727188643892623700676440151319941710521307787<64>
10861556579455696187756826314289969091786939550439045840129187487990657<71>
factorization results 素因数分解の結果
N=33050832388637916654788683667386916680442671890921920233213078653741616469213604339800019417397235170056083438796844788075968477346059
  ( 134 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=3042918586011194800727188643892623700676440151319941710521307787 (pp64)
 r2=10861556579455696187756826314289969091786939550439045840129187487990657 (pp71)
Version: Msieve-1.40
Total time: 30.37 hours.
Scaled time: 56.04 units (timescale=1.845).
Factorization parameters were as follows:
n: 33050832388637916654788683667386916680442671890921920233213078653741616469213604339800019417397235170056083438796844788075968477346059
m: 10000000000000000000000000
deg: 6
c6: 7000
c3: -270
c0: -7
skew: 0.32
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 3400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 522788 x 523014
Total sieving time: 29.93 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.29 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,153.000,6,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 30.37 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 8, 2011 14:00:00 UTC 2011 年 2 月 8 日 (火) 23 時 0 分 0 秒 (日本時間)

7×10155-27×1077-79

c130

name 名前Dmitry Domanov
date 日付February 10, 2011 20:58:16 UTC 2011 年 2 月 11 日 (金) 5 時 58 分 16 秒 (日本時間)
composite number 合成数
4606297021178416117969370975746976587099271807789748217849151304342075866518347225081153681051732656073156659668586383912269139909<130>
prime factors 素因数
36501546250862025574046085454050665380780981783607875886068627<62>
126194572403069997870353622822284718415017372769862352013101092189767<69>
factorization results 素因数分解の結果
N=4606297021178416117969370975746976587099271807789748217849151304342075866518347225081153681051732656073156659668586383912269139909
  ( 130 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=36501546250862025574046085454050665380780981783607875886068627 (pp62)
 r2=126194572403069997870353622822284718415017372769862352013101092189767 (pp69)
Version: Msieve-1.40
Total time: 34.94 hours.
Scaled time: 67.37 units (timescale=1.928).
Factorization parameters were as follows:
n: 4606297021178416117969370975746976587099271807789748217849151304342075866518347225081153681051732656073156659668586383912269139909
m: 10000000000000000000000000
deg: 6
c6: 700000
c3: -2700
c0: -7
skew: 0.15
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 3800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 545561 x 545787
Total sieving time: 34.46 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.31 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,155.000,6,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 34.94 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 8, 2011 14:00:00 UTC 2011 年 2 月 8 日 (火) 23 時 0 分 0 秒 (日本時間)

7×10165-27×1082-79

c136

name 名前Markus Tervooren
date 日付February 11, 2011 00:43:51 UTC 2011 年 2 月 11 日 (金) 9 時 43 分 51 秒 (日本時間)
composite number 合成数
1990551532395036289356937828593753650252701083285990368221368513284321682768771205846749549292938552599720037529388196415199305546203487<136>
prime factors 素因数
4659451343368717374565428670482263536062463<43>
427207279506839040053462551767366609238481615098775991204287162141474381737329109184467455649<93>
factorization results 素因数分解の結果
Msieve v. 1.49
Thu Feb 10 22:45:48 2011
random seeds: 7a21074f f731f29a
factoring 1990551532395036289356937828593753650252701083285990368221368513284321682768771205846749549292938552599720037529388196415199305546203487 (136 digits)
searching for 15-digit factors
commencing number field sieve (136-digit input)
R0: -1000000000000000000000000000
R1:  1
A0: -7
A1:  0
A2:  0
A3: -270
A4:  0
A5:  0
A6:  7000
skew 0.32, size 1.935e-08, alpha -0.278, combined = 1.157e-10 rroots = 2

commencing relation filtering
estimated available RAM is 8000.1 MB
commencing duplicate removal, pass 1
read 10M relations
found 1512842 hash collisions in 10346579 relations
added 549 free relations
commencing duplicate removal, pass 2
found 1401074 duplicates and 8946054 unique relations
memory use: 49.3 MB
reading ideals above 100000
commencing singleton removal, initial pass
memory use: 344.5 MB
reading all ideals from disk
memory use: 323.5 MB
keeping 10729227 ideals with weight <= 200, target excess is 46589
commencing in-memory singleton removal
begin with 8946054 relations and 10729227 unique ideals
reduce to 3260998 relations and 3176019 ideals in 17 passes
max relations containing the same ideal: 102
removing 200784 relations and 185316 ideals in 15468 cliques
commencing in-memory singleton removal
begin with 3060214 relations and 3176019 unique ideals
reduce to 3049963 relations and 2980363 ideals in 8 passes
max relations containing the same ideal: 98
removing 142887 relations and 127419 ideals in 15468 cliques
commencing in-memory singleton removal
begin with 2907076 relations and 2980363 unique ideals
reduce to 2901620 relations and 2847455 ideals in 6 passes
max relations containing the same ideal: 94
relations with 0 large ideals: 1428
relations with 1 large ideals: 1054
relations with 2 large ideals: 4846
relations with 3 large ideals: 40823
relations with 4 large ideals: 186079
relations with 5 large ideals: 494459
relations with 6 large ideals: 780877
relations with 7+ large ideals: 1392054
commencing 2-way merge
reduce to 1730812 relation sets and 1676648 unique ideals
ignored 1 oversize relation sets
commencing full merge
memory use: 213.7 MB
found 879111 cycles, need 874848
weight of 874848 cycles is about 61504179 (70.30/cycle)
distribution of cycle lengths:
1 relations: 107482
2 relations: 109834
3 relations: 105455
4 relations: 91548
5 relations: 78797
6 relations: 65665
7 relations: 54932
8 relations: 45946
9 relations: 38415
10+ relations: 176774
heaviest cycle: 28 relations
commencing cycle optimization
start with 5359532 relations
pruned 128696 relations
memory use: 172.8 MB
distribution of cycle lengths:
1 relations: 107482
2 relations: 112029
3 relations: 108897
4 relations: 93290
5 relations: 80495
6 relations: 65990
7 relations: 55341
8 relations: 45952
9 relations: 37907
10+ relations: 167465
heaviest cycle: 27 relations
RelProcTime: 341
elapsed time 00:05:42
-> Running matrix solving step ...
-> ./msieve -v -s ../../mnt/fas/sieve/n/n.dat -l ../../mnt/fas/sieve/n/n.log -i ../../mnt/fas/sieve/n/n.ini -nf ../../mnt/fas/sieve/n/n.fb -t 5 -nc2


Msieve v. 1.49
Thu Feb 10 22:51:31 2011
random seeds: 8983af5f 4793072d
factoring 1990551532395036289356937828593753650252701083285990368221368513284321682768771205846749549292938552599720037529388196415199305546203487 (136 digits)
searching for 15-digit factors
commencing number field sieve (136-digit input)
R0: -1000000000000000000000000000
R1:  1
A0: -7
A1:  0
A2:  0
A3: -270
A4:  0
A5:  0
A6:  7000
skew 0.32, size 1.935e-08, alpha -0.278, combined = 1.157e-10 rroots = 2

commencing linear algebra
read 874848 cycles
cycles contain 2844476 unique relations
read 2844476 relations
using 20 quadratic characters above 134216934
building initial matrix
memory use: 347.7 MB
read 874848 cycles
matrix is 874670 x 874848 (261.2 MB) with weight 77483003 (88.57/col)
sparse part has weight 59720255 (68.26/col)
filtering completed in 2 passes
matrix is 874073 x 874251 (261.1 MB) with weight 77463328 (88.61/col)
sparse part has weight 59713652 (68.30/col)
matrix starts at (0, 0)
matrix is 874073 x 874251 (261.1 MB) with weight 77463328 (88.61/col)
sparse part has weight 59713652 (68.30/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 874025 x 874251 (249.7 MB) with weight 61404167 (70.24/col)
sparse part has weight 56727497 (64.89/col)
using block size 65536 for processor cache size 6144 kB
commencing Lanczos iteration (5 threads)
memory use: 224.1 MB
linear algebra at 0.3%, ETA 0h28m874251 dimensions (0.3%, ETA 0h28m)    
linear algebra completed 873744 of 874251 dimensions (99.9%, ETA 0h 0m)    
lanczos halted after 13826 iterations (dim = 874025)
recovered 37 nontrivial dependencies
BLanczosTime: 1983
elapsed time 00:33:04
-> Running square root step ...
-> ./msieve -v -s ../../mnt/fas/sieve/n/n.dat -l ../../mnt/fas/sieve/n/n.log -i ../../mnt/fas/sieve/n/n.ini -nf ../../mnt/fas/sieve/n/n.fb -t 5 -nc3


Msieve v. 1.49
Thu Feb 10 23:24:36 2011
random seeds: 4bba1e5e bc7443fa
factoring 1990551532395036289356937828593753650252701083285990368221368513284321682768771205846749549292938552599720037529388196415199305546203487 (136 digits)
searching for 15-digit factors
commencing number field sieve (136-digit input)
R0: -1000000000000000000000000000
R1:  1
A0: -7
A1:  0
A2:  0
A3: -270
A4:  0
A5:  0
A6:  7000
skew 0.32, size 1.935e-08, alpha -0.278, combined = 1.157e-10 rroots = 2

commencing square root phase
reading relations for dependency 1
read 437520 cycles
cycles contain 1425194 unique relations
read 1425194 relations
multiplying 1425194 relations
multiply complete, coefficients have about 47.82 million bits
initial square root is modulo 7343543
reading relations for dependency 2
read 437398 cycles
cycles contain 1423502 unique relations
read 1423502 relations
multiplying 1423502 relations
multiply complete, coefficients have about 47.76 million bits
initial square root is modulo 7199729
sqrtTime: 328
prp43 factor: 4659451343368717374565428670482263536062463
prp93 factor: 427207279506839040053462551767366609238481615098775991204287162141474381737329109184467455649
elapsed time 00:05:28

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 8, 2011 14:00:00 UTC 2011 年 2 月 8 日 (火) 23 時 0 分 0 秒 (日本時間)
403e6320 / 2318Dmitry DomanovFebruary 9, 2011 14:33:01 UTC 2011 年 2 月 9 日 (水) 23 時 33 分 1 秒 (日本時間)

7×10169-27×1084-79

c138

name 名前Sinkiti Sibata
date 日付March 7, 2011 23:22:09 UTC 2011 年 3 月 8 日 (火) 8 時 22 分 9 秒 (日本時間)
composite number 合成数
727808578021159482977287129025238195777893172029702191049933134309226638642287064977918070645698898971235098479390761092780369250826658301<138>
prime factors 素因数
87559944435489595501374839949281215711373862321295983574402727<62>
8312117860666044259645464393046669174516293652777540393297196456735750949563<76>
factorization results 素因数分解の結果
Number: 77477_84
N=727808578021159482977287129025238195777893172029702191049933134309226638642287064977918070645698898971235098479390761092780369250826658301
  ( 138 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=87559944435489595501374839949281215711373862321295983574402727 (pp62)
 r2=8312117860666044259645464393046669174516293652777540393297196456735750949563 (pp76)
Version: Msieve-1.40
Total time: 106.53 hours.
Scaled time: 352.09 units (timescale=3.305).
Factorization parameters were as follows:
name: 77477_84
n: 727808578021159482977287129025238195777893172029702191049933134309226638642287064977918070645698898971235098479390761092780369250826658301
m: 10000000000000000000000000000
deg: 6
c6: 70
c3: -27
c0: -7
skew: 0.68
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2350000, 4350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 895794 x 896042
Total sieving time: 103.45 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 2.66 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
snfs,169.000,6,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.4,2.4,100000
total time: 106.53 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 8, 2011 14:00:00 UTC 2011 年 2 月 8 日 (火) 23 時 0 分 0 秒 (日本時間)
403e6320 / 2318Dmitry DomanovFebruary 9, 2011 14:32:43 UTC 2011 年 2 月 9 日 (水) 23 時 32 分 43 秒 (日本時間)

7×10171-27×1085-79

c171

name 名前Dmitry Domanov
date 日付February 10, 2011 07:30:18 UTC 2011 年 2 月 10 日 (木) 16 時 30 分 18 秒 (日本時間)
composite number 合成数
259259259259259259259259259259259259259259259259259259259259259259259259259259259259249259259259259259259259259259259259259259259259259259259259259259259259259259259259259<171>
prime factors 素因数
3305971458393888836195144727551143909<37>
composite cofactor 合成数の残り
78421505606467913941456839770389199424202324580094082763459939884359731339951634322394795685744933702390437131423296379090481121181151<134>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2609390013
Step 1 took 22933ms
Step 2 took 12820ms
********** Factor found in step 2: 3305971458393888836195144727551143909
Found probable prime factor of 37 digits: 3305971458393888836195144727551143909
Composite cofactor 78421505606467913941456839770389199424202324580094082763459939884359731339951634322394795685744933702390437131423296379090481121181151 has 134 digits

c134

name 名前Dmitry Domanov
date 日付February 10, 2011 15:31:06 UTC 2011 年 2 月 11 日 (金) 0 時 31 分 6 秒 (日本時間)
composite number 合成数
78421505606467913941456839770389199424202324580094082763459939884359731339951634322394795685744933702390437131423296379090481121181151<134>
prime factors 素因数
2419332621023302023573720167664872537<37>
32414519989937584540393997590569891546899636309114863912059023764856846845201985669274102946354423<98>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4016275544
Step 1 took 16053ms
Step 2 took 9835ms
********** Factor found in step 2: 2419332621023302023573720167664872537
Found probable prime factor of 37 digits: 2419332621023302023573720167664872537
Probable prime cofactor 32414519989937584540393997590569891546899636309114863912059023764856846845201985669274102946354423 has 98 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 8, 2011 14:00:00 UTC 2011 年 2 月 8 日 (火) 23 時 0 分 0 秒 (日本時間)
403e6400 / 2318Dmitry DomanovFebruary 9, 2011 13:32:42 UTC 2011 年 2 月 9 日 (水) 22 時 32 分 42 秒 (日本時間)

7×10177-27×1088-79

c131

name 名前Serge Batalov
date 日付September 11, 2011 17:47:02 UTC 2011 年 9 月 12 日 (月) 2 時 47 分 2 秒 (日本時間)
composite number 合成数
21569506871526464088960670835286346247683367337425020229799849834900432719733984237649420119315378597623437598972851811958027228779<131>
prime factors 素因数
402480628566895456130964839364687212521<39>
53591416184000124762843365946879037253715964669758097664628669604659532481752662621118485299<92>
factorization results 素因数分解の結果
Input number is 21569506871526464088960670835286346247683367337425020229799849834900432719733984237649420119315378597623437598972851811958027228779 (131 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3580474267
Step 1 took 113843ms
Step 2 took 38799ms
********** Factor found in step 2: 402480628566895456130964839364687212521
Found probable prime factor of 39 digits: 402480628566895456130964839364687212521
Probable prime cofactor 535914161840... has 92 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 8, 2011 14:00:00 UTC 2011 年 2 月 8 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61070300Dmitry DomanovFebruary 22, 2011 20:30:06 UTC 2011 年 2 月 23 日 (水) 5 時 30 分 6 秒 (日本時間)
770Ignacio SantosJune 19, 2011 16:48:19 UTC 2011 年 6 月 20 日 (月) 1 時 48 分 19 秒 (日本時間)
4511e6220 / 4025Ignacio SantosJune 19, 2011 16:48:19 UTC 2011 年 6 月 20 日 (月) 1 時 48 分 19 秒 (日本時間)
5043e661 / 7463Ignacio SantosJune 19, 2011 16:48:19 UTC 2011 年 6 月 20 日 (月) 1 時 48 分 19 秒 (日本時間)

7×10179-27×1089-79

c160

name 名前Jo Yeong Uk
date 日付May 29, 2012 14:01:17 UTC 2012 年 5 月 29 日 (火) 23 時 1 分 17 秒 (日本時間)
composite number 合成数
8710820612915437709460471838944426400313005051936737208779541378112959885754034459962517613338041382477695842832578813141956429390807024716600832978599950297531<160>
prime factors 素因数
726478165937599147322264749522748223197571097<45>
11990478202016127451351478135455449952671176749334365584751956457200271768451969446111114659377174297178179536775923<116>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.2 and --enable-asm-redc] [ECM]
Input number is 8710820612915437709460471838944426400313005051936737208779541378112959885754034459962517613338041382477695842832578813141956429390807024716600832978599950297531 (160 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1446123193
Step 1 took 10959ms
Step 2 took 4364ms
********** Factor found in step 2: 726478165937599147322264749522748223197571097
Found probable prime factor of 45 digits: 726478165937599147322264749522748223197571097
Probable prime cofactor 11990478202016127451351478135455449952671176749334365584751956457200271768451969446111114659377174297178179536775923 has 116 digits
execution environment 実行環境
Core i7 980

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 8, 2011 14:00:00 UTC 2011 年 2 月 8 日 (火) 23 時 0 分 0 秒 (日本時間)
403e62318300Dmitry DomanovFebruary 22, 2011 20:30:14 UTC 2011 年 2 月 23 日 (水) 5 時 30 分 14 秒 (日本時間)
2018Wataru SakaiMarch 26, 2012 09:44:10 UTC 2012 年 3 月 26 日 (月) 18 時 44 分 10 秒 (日本時間)

7×10181-27×1090-79

c147

name 名前Jo Yeong Uk
date 日付June 19, 2012 22:20:52 UTC 2012 年 6 月 20 日 (水) 7 時 20 分 52 秒 (日本時間)
composite number 合成数
769442059893609751588243588768141898178303148891093228207189580725428913547130286211085389679744898656869934491401761294142520582633806749090295979<147>
prime factors 素因数
8211463106173778294949664328969801465413472102705730697<55>
93703405829724266618677500906411171685654588400955808917538711936926113370901857593634076307<92>
factorization results 素因数分解の結果
Number: 77477_90
N=769442059893609751588243588768141898178303148891093228207189580725428913547130286211085389679744898656869934491401761294142520582633806749090295979
  ( 147 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=8211463106173778294949664328969801465413472102705730697
 r2=93703405829724266618677500906411171685654588400955808917538711936926113370901857593634076307
Version: 
Total time: 101.28 hours.
Scaled time: 371.91 units (timescale=3.672).
Factorization parameters were as follows:
n: 769442059893609751588243588768141898178303148891093228207189580725428913547130286211085389679744898656869934491401761294142520582633806749090295979
m: 1000000000000000000000000000000
deg: 6
c6: 70
c3: -27
c0: -7
skew: 0.68
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3000000, 6900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18238898
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1315420 x 1315668
Total sieving time: 96.79 hours.
Total relation processing time: 1.36 hours.
Matrix solve time: 2.99 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,181,6,0,0,0,0,0,0,0,0,6000000,6000000,28,28,53,53,2.5,2.5,100000
total time: 101.28 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz stepping 02
Memory: 24581160k/26214400k available (5086k kernel code, 1057684k absent, 575556k reserved, 7227k data, 1244k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6665.91 BogoMIPS (lpj=3332956)
Total of 12 processors activated (82663.37 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7 980

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 8, 2011 14:00:00 UTC 2011 年 2 月 8 日 (火) 23 時 0 分 0 秒 (日本時間)
403e62318300Dmitry DomanovFebruary 22, 2011 20:30:23 UTC 2011 年 2 月 23 日 (水) 5 時 30 分 23 秒 (日本時間)
2018Jo Yeong UkJune 11, 2012 03:50:26 UTC 2012 年 6 月 11 日 (月) 12 時 50 分 26 秒 (日本時間)

7×10185-27×1092-79

c176

name 名前Dmitry Domanov
date 日付February 22, 2011 20:36:07 UTC 2011 年 2 月 23 日 (水) 5 時 36 分 7 秒 (日本時間)
composite number 合成数
55809744745359912504537373108503735167983400684298093823677441320623221746112239743207634812602437336423347324782923096521410876027000149530172085968243631924769610893781148311<176>
prime factors 素因数
94311148875391551935647397910896439881<38>
composite cofactor 合成数の残り
591761901014464839290218809978687321780461495558894911073714112735616567358788256281256917536220023581768017271571781098017403459721752031<138>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2608292160
Step 1 took 72619ms
Step 2 took 29390ms
********** Factor found in step 2: 94311148875391551935647397910896439881
Found probable prime factor of 38 digits: 94311148875391551935647397910896439881
Composite cofactor 591761901014464839290218809978687321780461495558894911073714112735616567358788256281256917536220023581768017271571781098017403459721752031 has 138 digits

c138

name 名前Jo Yeong Uk
date 日付June 22, 2012 12:43:54 UTC 2012 年 6 月 22 日 (金) 21 時 43 分 54 秒 (日本時間)
composite number 合成数
591761901014464839290218809978687321780461495558894911073714112735616567358788256281256917536220023581768017271571781098017403459721752031<138>
prime factors 素因数
6600382774117046909193574388320052113044722248470562613<55>
89655694414423807683158299823125014119028751736360458878303899192865960813749681987<83>
factorization results 素因数分解の結果
Number: 77477_92
N=591761901014464839290218809978687321780461495558894911073714112735616567358788256281256917536220023581768017271571781098017403459721752031
  ( 138 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=6600382774117046909193574388320052113044722248470562613
 r2=89655694414423807683158299823125014119028751736360458878303899192865960813749681987
Version: 
Total time: 130.22 hours.
Scaled time: 473.36 units (timescale=3.635).
Factorization parameters were as follows:
n: 591761901014464839290218809978687321780461495558894911073714112735616567358788256281256917536220023581768017271571781098017403459721752031
m: 10000000000000000000000000000000
deg: 6
c6: 7
c3: -27
c0: -70
skew: 1.47
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5

Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4000000, 8800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20254521
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1697390 x 1697637
Total sieving time: 123.16 hours.
Total relation processing time: 1.79 hours.
Matrix solve time: 5.14 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,186,6,0,0,0,0,0,0,0,0,8000000,8000000,28,28,54,54,2.5,2.5,100000
total time: 130.22 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7 980

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 8, 2011 14:00:00 UTC 2011 年 2 月 8 日 (火) 23 時 0 分 0 秒 (日本時間)
403e62318300Dmitry DomanovFebruary 22, 2011 20:30:33 UTC 2011 年 2 月 23 日 (水) 5 時 30 分 33 秒 (日本時間)
2018Jo Yeong UkJune 11, 2012 03:50:40 UTC 2012 年 6 月 11 日 (月) 12 時 50 分 40 秒 (日本時間)

7×10187-27×1093-79

c177

name 名前Serge Batalov
date 日付February 8, 2011 19:14:53 UTC 2011 年 2 月 9 日 (水) 4 時 14 分 53 秒 (日本時間)
composite number 合成数
756296419738205615431253012531151688951080427027028178057616727435866759425916909379817570412382901550715752935830264455626905228575777613242877038965765487009622569782405864917<177>
prime factors 素因数
110515519268792407226887064773207<33>
composite cofactor 合成数の残り
6843350370537236456696544703569677641470951476519133842108149521857994437558764359361203778996669936752510212803033418236007444709986982113156531<145>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2849991747
Step 1 took 4628ms
Step 2 took 2352ms
********** Factor found in step 2: 110515519268792407226887064773207
Found probable prime factor of 33 digits: 110515519268792407226887064773207
Composite cofactor 6843350370537236456696544703569677641470951476519133842108149521857994437558764359361203778996669936752510212803033418236007444709986982113156531 has 145 digits

c145

name 名前Jo Yeong Uk
date 日付June 25, 2012 21:40:43 UTC 2012 年 6 月 26 日 (火) 6 時 40 分 43 秒 (日本時間)
composite number 合成数
6843350370537236456696544703569677641470951476519133842108149521857994437558764359361203778996669936752510212803033418236007444709986982113156531<145>
prime factors 素因数
6284356313023398628304713639240728645888356643349417524447266372516611<70>
1088950089662389981404313452401680614287525117412939978342103704983301880721<76>
factorization results 素因数分解の結果
Number: 77477_93
N=6843350370537236456696544703569677641470951476519133842108149521857994437558764359361203778996669936752510212803033418236007444709986982113156531
  ( 145 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=6284356313023398628304713639240728645888356643349417524447266372516611
 r2=1088950089662389981404313452401680614287525117412939978342103704983301880721
Version: 
Total time: 146.75 hours.
Scaled time: 536.08 units (timescale=3.653).
Factorization parameters were as follows:
n: 6843350370537236456696544703569677641470951476519133842108149521857994437558764359361203778996669936752510212803033418236007444709986982113156531
m: 10000000000000000000000000000000
deg: 6
c6: 70
c3: -27
c0: -7
skew: 0.68
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 9800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20656697
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1766034 x 1766282
Total sieving time: 138.13 hours.
Total relation processing time: 2.11 hours.
Matrix solve time: 6.30 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,187,6,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 146.75 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz stepping 02
Memory: 36992028k/38797312k available (5086k kernel code, 1057684k absent, 747600k reserved, 7227k data, 1244k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6667.34 BogoMIPS (lpj=3333674)
Total of 12 processors activated (79998.22 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7 980

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 8, 2011 14:00:00 UTC 2011 年 2 月 8 日 (火) 23 時 0 分 0 秒 (日本時間)
403e62318300Dmitry DomanovFebruary 22, 2011 20:30:41 UTC 2011 年 2 月 23 日 (水) 5 時 30 分 41 秒 (日本時間)
2018Jo Yeong UkJune 11, 2012 03:50:52 UTC 2012 年 6 月 11 日 (月) 12 時 50 分 52 秒 (日本時間)

7×10193-27×1096-79

c169

name 名前Serge Batalov
date 日付February 8, 2011 19:15:37 UTC 2011 年 2 月 9 日 (水) 4 時 15 分 37 秒 (日本時間)
composite number 合成数
1380032277547731775125438497583366092521943259514117181900532318307979106996967298443735631810032756532107672466361696153485314581881154925747003831097042328725780620147<169>
prime factors 素因数
472182862935804198830679861221<30>
composite cofactor 合成数の残り
2922664895052225962746901099902166376087045814599829913383095392798153796786300721910787241947864161494344606099013625615006439393980479607<139>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2986380989
Step 1 took 3896ms
Step 2 took 2205ms
********** Factor found in step 2: 472182862935804198830679861221
Found probable prime factor of 30 digits: 472182862935804198830679861221
Composite cofactor 2922664895052225962746901099902166376087045814599829913383095392798153796786300721910787241947864161494344606099013625615006439393980479607 has 139 digits

c139

name 名前Jo Yeong Uk
date 日付July 9, 2012 10:56:35 UTC 2012 年 7 月 9 日 (月) 19 時 56 分 35 秒 (日本時間)
composite number 合成数
2922664895052225962746901099902166376087045814599829913383095392798153796786300721910787241947864161494344606099013625615006439393980479607<139>
prime factors 素因数
406175986995521410332389058467276779634772153073047801890642962673<66>
7195562979168564036155217702027812522505881412417561160925290022220560359<73>
factorization results 素因数分解の結果
Number: 77477_96
N=2922664895052225962746901099902166376087045814599829913383095392798153796786300721910787241947864161494344606099013625615006439393980479607
  ( 139 digits)
SNFS difficulty: 193 digits.
Divisors found:
 r1=406175986995521410332389058467276779634772153073047801890642962673
 r2=7195562979168564036155217702027812522505881412417561160925290022220560359
Version: 
Total time: 225.21 hours.
Scaled time: 828.56 units (timescale=3.679).
Factorization parameters were as follows:
n: 2922664895052225962746901099902166376087045814599829913383095392798153796786300721910787241947864161494344606099013625615006439393980479607
m: 100000000000000000000000000000000
deg: 6
c6: 70
c3: -27
c0: -7
skew: 0.68
# Murphy_E = 2.06e-11
type: snfs
lss: 1
rlim: 13000000
alim: 13000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5


Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6500000, 14000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 23010095
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2254556 x 2254804
Total sieving time: 209.86 hours.
Total relation processing time: 3.39 hours.
Matrix solve time: 11.69 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,193,6,0,0,0,0,0,0,0,0,13000000,13000000,28,28,55,55,2.5,2.5,100000
total time: 225.21 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7 980

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 8, 2011 14:00:00 UTC 2011 年 2 月 8 日 (火) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosFebruary 23, 2011 15:39:57 UTC 2011 年 2 月 24 日 (木) 0 時 39 分 57 秒 (日本時間)
403e62126110Ignacio SantosFebruary 23, 2011 15:39:57 UTC 2011 年 2 月 24 日 (木) 0 時 39 分 57 秒 (日本時間)
2016Jo Yeong UkJune 11, 2012 03:51:09 UTC 2012 年 6 月 11 日 (月) 12 時 51 分 9 秒 (日本時間)
4511e61032 / 399132Ignacio SantosFebruary 23, 2011 15:39:57 UTC 2011 年 2 月 24 日 (木) 0 時 39 分 57 秒 (日本時間)
1000Dmitry DomanovJuly 5, 2012 07:43:03 UTC 2012 年 7 月 5 日 (木) 16 時 43 分 3 秒 (日本時間)

7×10195-27×1097-79

c180

name 名前Serge Batalov
date 日付April 26, 2012 06:40:16 UTC 2012 年 4 月 26 日 (木) 15 時 40 分 16 秒 (日本時間)
composite number 合成数
123476952787953050591411996677576661430762409494433215525150344023330259850751189049510592740124575242788378832600940796110431493602237207930816558791523104167102003612713162071559<180>
prime factors 素因数
42373300352577397975664177388705437871751<41>
composite cofactor 合成数の残り
2914027270959139310993312884259144732061873306638037163602609954939494431519348262112381517149107441099328388069054189757883856342917575809<139>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=528856652
Step 1 took 12981ms
Step 2 took 11389ms
********** Factor found in step 2: 42373300352577397975664177388705437871751
Found probable prime factor of 41 digits: 42373300352577397975664177388705437871751
Composite cofactor 291402727095... has 139 digits

c139

name 名前Jo Yeong Uk
date 日付July 22, 2012 22:16:38 UTC 2012 年 7 月 23 日 (月) 7 時 16 分 38 秒 (日本時間)
composite number 合成数
2914027270959139310993312884259144732061873306638037163602609954939494431519348262112381517149107441099328388069054189757883856342917575809<139>
prime factors 素因数
255890731497071241287866952260587504816137231566623222509<57>
11387779674202429523814092851272971807950633347560393139301645243319220360466233701<83>
factorization results 素因数分解の結果
Number: 77477_97
N=2914027270959139310993312884259144732061873306638037163602609954939494431519348262112381517149107441099328388069054189757883856342917575809
  ( 139 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=255890731497071241287866952260587504816137231566623222509
 r2=11387779674202429523814092851272971807950633347560393139301645243319220360466233701
Version: 
Total time: 306.43 hours.
Scaled time: 1122.46 units (timescale=3.663).
Factorization parameters were as follows:
n: 2914027270959139310993312884259144732061873306638037163602609954939494431519348262112381517149107441099328388069054189757883856342917575809
m: 100000000000000000000000000000000
deg: 6
c6: 7000
c3: -270
c0: -7
skew: 0.32
# Murphy_E = 1.314e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 55/55
Sieved rational special-q in [8000000, 17600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 34800927
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2843414 x 2843662
Total sieving time: 279.37 hours.
Total relation processing time: 6.68 hours.
Matrix solve time: 19.98 hours.
Time per square root: 0.40 hours.
Prototype def-par.txt line would be:
snfs,195,6,0,0,0,0,0,0,0,0,16000000,16000000,29,29,55,55,2.5,2.5,100000
total time: 306.43 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7 980

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 8, 2011 14:00:00 UTC 2011 年 2 月 8 日 (火) 23 時 0 分 0 秒 (日本時間)
403e62318300Dmitry DomanovFebruary 22, 2011 20:30:53 UTC 2011 年 2 月 23 日 (水) 5 時 30 分 53 秒 (日本時間)
2018Jo Yeong UkJune 11, 2012 03:51:19 UTC 2012 年 6 月 11 日 (月) 12 時 51 分 19 秒 (日本時間)
4511e61000 / 2559Dmitry DomanovJuly 5, 2012 07:43:16 UTC 2012 年 7 月 5 日 (木) 16 時 43 分 16 秒 (日本時間)
5043e6400 / 7241Dmitry DomanovJuly 11, 2012 22:23:37 UTC 2012 年 7 月 12 日 (木) 7 時 23 分 37 秒 (日本時間)

7×10197-27×1098-79

c182

name 名前Serge Batalov
date 日付April 26, 2012 17:13:20 UTC 2012 年 4 月 27 日 (金) 2 時 13 分 20 秒 (日本時間)
composite number 合成数
34281968446311533842409658360293483527738723763961098280837544068765602795230977654909727321085583809541242907993816880567083035851572548704467907470573943940589359592874167607474279<182>
prime factors 素因数
43655428529517631985114457723070616688181<41>
785285349406930455288369582709491952957650712286042330078711549448238070205141080227912484546142502863785472606317369134045869160424977823659<141>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3039767402
Step 1 took 12873ms
Step 2 took 11204ms
********** Factor found in step 2: 43655428529517631985114457723070616688181
Found probable prime factor of 41 digits: 43655428529517631985114457723070616688181
Probable prime cofactor 785285349406... has 141 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 8, 2011 14:00:00 UTC 2011 年 2 月 8 日 (火) 23 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovFebruary 22, 2011 20:31:02 UTC 2011 年 2 月 23 日 (水) 5 時 31 分 2 秒 (日本時間)

7×10201-27×10100-79

c189

name 名前Jo Yeong Uk
date 日付September 4, 2012 12:07:10 UTC 2012 年 9 月 4 日 (火) 21 時 7 分 10 秒 (日本時間)
composite number 合成数
142365030273440143093004464532467969893332201034524498466072680932089531545741915504178907920768708848763656732081028010524261479648260722435270769730554727890499424338972237145900185756117<189>
prime factors 素因数
859619327412767603581726191344496118792649621<45>
composite cofactor 合成数の残り
165614040696272098120611188198689412515805636279796159608834454229205336603359740640040705777574987091914003351211261749488566798374356273069377<144>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.5 and --enable-asm-redc] [ECM]
Input number is 142365030273440143093004464532467969893332201034524498466072680932089531545741915504178907920768708848763656732081028010524261479648260722435270769730554727890499424338972237145900185756117 (189 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=5424678926
Step 1 took 182760ms
********** Factor found in step 1: 859619327412767603581726191344496118792649621
Found probable prime factor of 45 digits: 859619327412767603581726191344496118792649621
Composite cofactor 165614040696272098120611188198689412515805636279796159608834454229205336603359740640040705777574987091914003351211261749488566798374356273069377 has 144 digits
execution environment 実行環境
Core i7 980

c144

name 名前Jo Yeong Uk
date 日付October 14, 2012 21:49:31 UTC 2012 年 10 月 15 日 (月) 6 時 49 分 31 秒 (日本時間)
composite number 合成数
165614040696272098120611188198689412515805636279796159608834454229205336603359740640040705777574987091914003351211261749488566798374356273069377<144>
prime factors 素因数
928538016074707545081241053204911445770447367927635479097713<60>
178360000160668984788144472185879647262937739345961548854525221231149476429361438929<84>
factorization results 素因数分解の結果
Number: 77477_100
N=165614040696272098120611188198689412515805636279796159608834454229205336603359740640040705777574987091914003351211261749488566798374356273069377
  ( 144 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=928538016074707545081241053204911445770447367927635479097713
 r2=178360000160668984788144472185879647262937739345961548854525221231149476429361438929
Version: 
Total time: 456.15 hours.
Scaled time: 1679.09 units (timescale=3.681).
Factorization parameters were as follows:
n: 165614040696272098120611188198689412515805636279796159608834454229205336603359740640040705777574987091914003351211261749488566798374356273069377
m: 1000000000000000000000000000000000
deg: 6
c6: 7000
c3: -270
c0: -7
skew: 0.32
# Murphy_E = 8.379e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [10000000, 23200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 39567356
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3567651 x 3567899
Total sieving time: 409.77 hours.
Total relation processing time: 12.33 hours.
Matrix solve time: 33.49 hours.
Time per square root: 0.56 hours.
Prototype def-par.txt line would be:
snfs,201,6,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 456.15 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz stepping 02
Memory: 36991612k/38797312k available (5153k kernel code, 1057684k absent, 748016k reserved, 7165k data, 1260k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6666.47 BogoMIPS (lpj=3333235)
Total of 12 processors activated (79997.64 BogoMIPS).
x86info v1.25.  Dave Jones 2001-2009
Feedback to <davej@redhat.com>.

Found 12 CPUs
--------------------------------------------------------------------------
CPU #1
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)        Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x0 Package: 0  Core: 0   SMT ID 0
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #2
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x2 Package: 0  Core: 0   SMT ID 2
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #3
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x4 Package: 0  Core: 0   SMT ID 4
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #4
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x10        Package: 0  Core: 0   SMT ID 16
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #5
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x12        Package: 0  Core: 0   SMT ID 18
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #6
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x14        Package: 0  Core: 0   SMT ID 20
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #7
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x1 Package: 0  Core: 0   SMT ID 1
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #8
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x3 Package: 0  Core: 0   SMT ID 3
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #9
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x5 Package: 0  Core: 0   SMT ID 5
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #10
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x11        Package: 0  Core: 0   SMT ID 17
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #11
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x13        Package: 0  Core: 0   SMT ID 19
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #12
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x15        Package: 0  Core: 0   SMT ID 21
3.35GHz processor (estimate).

--------------------------------------------------------------------------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7 980

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 8, 2011 14:00:00 UTC 2011 年 2 月 8 日 (火) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovFebruary 22, 2011 20:31:14 UTC 2011 年 2 月 23 日 (水) 5 時 31 分 14 秒 (日本時間)
4511e61600600Dmitry DomanovFebruary 25, 2011 19:36:48 UTC 2011 年 2 月 26 日 (土) 4 時 36 分 48 秒 (日本時間)
1000Dmitry DomanovJuly 5, 2012 07:43:29 UTC 2012 年 7 月 5 日 (木) 16 時 43 分 29 秒 (日本時間)
5043e6860 / 7182560Dmitry DomanovJuly 11, 2012 22:25:09 UTC 2012 年 7 月 12 日 (木) 7 時 25 分 9 秒 (日本時間)
300Dmitry DomanovJuly 12, 2012 22:25:23 UTC 2012 年 7 月 13 日 (金) 7 時 25 分 23 秒 (日本時間)

7×10203-27×10101-79

c174

name 名前Bob Backstrom
date 日付February 10, 2022 04:54:00 UTC 2022 年 2 月 10 日 (木) 13 時 54 分 0 秒 (日本時間)
composite number 合成数
356565079922967326673845181930319712027014161897916429217941088822553406310314152835627358179979351796158745965583766343701010567425875117665789870893747385322202096351556717<174>
prime factors 素因数
4565783250828438380489494993630220039052886378681634575949382592694987<70>
78095051896795667721681863641069163606646281022230763293008361141452324791127778219901351349957087706791<104>
factorization results 素因数分解の結果
Number: n
N=356565079922967326673845181930319712027014161897916429217941088822553406310314152835627358179979351796158745965583766343701010567425875117665789870893747385322202096351556717  ( 174 digits)
SNFS difficulty: 204 digits.
Divisors found:

Thu Feb 10 15:35:31 2022  p70 factor: 4565783250828438380489494993630220039052886378681634575949382592694987
Thu Feb 10 15:35:31 2022  p104 factor: 78095051896795667721681863641069163606646281022230763293008361141452324791127778219901351349957087706791
Thu Feb 10 15:35:31 2022  elapsed time 02:01:04 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.290).
Factorization parameters were as follows:
#
# N = 7x10^203-27x10^101-7 = 7(101)47(101)
#
n: 356565079922967326673845181930319712027014161897916429217941088822553406310314152835627358179979351796158745965583766343701010567425875117665789870893747385322202096351556717
m: 10000000000000000000000000000000000
deg: 6
c6: 7
c3: -27
c0: -70
skew: 1.47
# Murphy_E = 9.008e-12
type: snfs
lss: 1
rlim: 18200000
alim: 18200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 18200000/18200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 57900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6433425 hash collisions in 39504360 relations (33749553 unique)
Msieve: matrix is 2313831 x 2314056 (789.3 MB)

Sieving start time : 2022/02/09 15:12:57
Sieving end time  : 2022/02/10 13:33:37

Total sieving time: 22hrs 20min 40secs.

Total relation processing time: 1hrs 46min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 3sec.

Prototype def-par.txt line would be:
snfs,204,6,0,0,0,0,0,0,0,0,18200000,18200000,28,28,55,55,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116821] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.152622] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798480)
[    0.150214] smpboot: Total of 16 processors activated (102387.84 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 29, 2012 16:34:23 UTC 2012 年 6 月 30 日 (土) 1 時 34 分 23 秒 (日本時間)
4511e61000Dmitry DomanovJuly 5, 2012 07:41:02 UTC 2012 年 7 月 5 日 (木) 16 時 41 分 2 秒 (日本時間)
5043e6928 / 7291600Dmitry DomanovJuly 5, 2012 22:50:49 UTC 2012 年 7 月 6 日 (金) 7 時 50 分 49 秒 (日本時間)
328Dmitry DomanovJuly 11, 2012 22:25:47 UTC 2012 年 7 月 12 日 (木) 7 時 25 分 47 秒 (日本時間)

7×10205-27×10102-79

c180

name 名前ebina
date 日付June 11, 2023 20:51:16 UTC 2023 年 6 月 12 日 (月) 5 時 51 分 16 秒 (日本時間)
composite number 合成数
498926307754823825242698041881556556352523736476257084669070057175402623345623374144361739093805164056189239038569234041904094404507244276509529993873224394987235999050197890782651<180>
prime factors 素因数
12176100840262984761909220980159245776676817112409171309466247730078972126721019<80>
40975868572393311108793646979630626384962413300215361386854669733886880767379158395372270824387524929<101>
factorization results 素因数分解の結果
Mon Jun 12 03:08:14 2023  Msieve v. 1.53 (SVN unknown)
Mon Jun 12 03:08:14 2023  random seeds: 6d959f80 74a0e657
Mon Jun 12 03:08:14 2023  factoring 498926307754823825242698041881556556352523736476257084669070057175402623345623374144361739093805164056189239038569234041904094404507244276509529993873224394987235999050197890782651 (180 digits)
Mon Jun 12 03:08:15 2023  searching for 15-digit factors
Mon Jun 12 03:08:15 2023  commencing number field sieve (180-digit input)
Mon Jun 12 03:08:15 2023  R0: -10000000000000000000000000000000000
Mon Jun 12 03:08:15 2023  R1: 1
Mon Jun 12 03:08:15 2023  A0: -7
Mon Jun 12 03:08:15 2023  A1: 0
Mon Jun 12 03:08:15 2023  A2: 0
Mon Jun 12 03:08:15 2023  A3: -27
Mon Jun 12 03:08:15 2023  A4: 0
Mon Jun 12 03:08:15 2023  A5: 0
Mon Jun 12 03:08:15 2023  A6: 70
Mon Jun 12 03:08:15 2023  skew 0.68, size 3.139e-10, alpha 0.146, combined = 7.455e-12 rroots = 2
Mon Jun 12 03:08:15 2023  
Mon Jun 12 03:08:15 2023  commencing square root phase
Mon Jun 12 03:08:15 2023  reading relations for dependency 1
Mon Jun 12 03:08:16 2023  read 1904944 cycles
Mon Jun 12 03:08:18 2023  cycles contain 6364278 unique relations
Mon Jun 12 03:09:01 2023  read 6364278 relations
Mon Jun 12 03:09:21 2023  multiplying 6364278 relations
Mon Jun 12 03:12:00 2023  multiply complete, coefficients have about 188.14 million bits
Mon Jun 12 03:12:01 2023  initial square root is modulo 5645579
Mon Jun 12 03:15:01 2023  sqrtTime: 406
Mon Jun 12 03:15:01 2023  p80 factor: 12176100840262984761909220980159245776676817112409171309466247730078972126721019
Mon Jun 12 03:15:01 2023  p101 factor: 40975868572393311108793646979630626384962413300215361386854669733886880767379158395372270824387524929
Mon Jun 12 03:15:01 2023  elapsed time 00:06:47

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 29, 2012 16:34:33 UTC 2012 年 6 月 30 日 (土) 1 時 34 分 33 秒 (日本時間)
4511e61000Dmitry DomanovJuly 5, 2012 07:41:12 UTC 2012 年 7 月 5 日 (木) 16 時 41 分 12 秒 (日本時間)
5043e64748 / 7291600Dmitry DomanovJuly 5, 2012 22:52:12 UTC 2012 年 7 月 6 日 (金) 7 時 52 分 12 秒 (日本時間)
328Dmitry DomanovJuly 11, 2012 22:26:26 UTC 2012 年 7 月 12 日 (木) 7 時 26 分 26 秒 (日本時間)
19106969February 18, 2023 02:45:30 UTC 2023 年 2 月 18 日 (土) 11 時 45 分 30 秒 (日本時間)
19106969February 18, 2023 02:45:36 UTC 2023 年 2 月 18 日 (土) 11 時 45 分 36 秒 (日本時間)

7×10207-27×10103-79

c207

name 名前Robert Backstrom
date 日付August 15, 2012 06:55:02 UTC 2012 年 8 月 15 日 (水) 15 時 55 分 2 秒 (日本時間)
composite number 合成数
259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259249259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259<207>
prime factors 素因数
5379844731328857145012985855747194582015120787027269056702372456945537512678627<79>
48190844198438513600364939020672848300272580790379008986598160338215987686380240123293324971678055747077545915598728122721223817<128>
factorization results 素因数分解の結果
Number: n
N=259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259249259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259
  ( 207 digits)
SNFS difficulty: 207 digits.
Divisors found:

Wed Aug 15 16:46:38 2012  prp79 factor: 5379844731328857145012985855747194582015120787027269056702372456945537512678627
Wed Aug 15 16:46:38 2012  prp128 factor: 48190844198438513600364939020672848300272580790379008986598160338215987686380240123293324971678055747077545915598728122721223817
Wed Aug 15 16:46:38 2012  elapsed time 15:56:43 (Msieve 1.44 - dependency 3)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.089).
Factorization parameters were as follows:
name: KA_77477_103
n: 259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259249259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259
m: 10000000000000000000000000000000000
#  c207, diff: 207.85
skew: 0.316
deg: 6
c6: 7000
c3: -270
c0: -7
# Murphy_E = 5.317e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 67000000)
Primes: RFBsize:1270607, AFBsize:1271417, 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10236503 hash collisions in 58320619 relations (50104747 unique)
Msieve: matrix is 2983746 x 2983971 (847.8 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,207,6,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
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: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5662.11 BogoMIPS (lpj=2831056)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830455)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Total of 4 processors activated (22644.83 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Lionel DebrouxJune 29, 2012 12:07:30 UTC 2012 年 6 月 29 日 (金) 21 時 7 分 30 秒 (日本時間)
255e4204Lionel DebrouxJune 29, 2012 12:08:26 UTC 2012 年 6 月 29 日 (金) 21 時 8 分 26 秒 (日本時間)
3025e4403Lionel DebrouxJune 29, 2012 12:08:56 UTC 2012 年 6 月 29 日 (金) 21 時 8 分 56 秒 (日本時間)
351e6118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
403e63670320Lionel DebrouxJune 29, 2012 13:21:11 UTC 2012 年 6 月 29 日 (金) 22 時 21 分 11 秒 (日本時間)
1000Dmitry DomanovJune 29, 2012 16:34:43 UTC 2012 年 6 月 30 日 (土) 1 時 34 分 43 秒 (日本時間)
2350Wataru SakaiJuly 1, 2012 02:05:13 UTC 2012 年 7 月 1 日 (日) 11 時 5 分 13 秒 (日本時間)
4511e60--
5043e61040 / 7406440Dmitry DomanovJuly 5, 2012 22:52:43 UTC 2012 年 7 月 6 日 (金) 7 時 52 分 43 秒 (日本時間)
600Dmitry DomanovJuly 11, 2012 22:27:01 UTC 2012 年 7 月 12 日 (木) 7 時 27 分 1 秒 (日本時間)
5511e71 / 17367Dmitry DomanovJuly 14, 2012 15:22:03 UTC 2012 年 7 月 15 日 (日) 0 時 22 分 3 秒 (日本時間)
6026e71 / 41890Dmitry DomanovJuly 14, 2012 15:22:03 UTC 2012 年 7 月 15 日 (日) 0 時 22 分 3 秒 (日本時間)

7×10211-27×10105-79

c211

name 名前Robert Backstrom
date 日付August 4, 2012 17:31:34 UTC 2012 年 8 月 5 日 (日) 2 時 31 分 34 秒 (日本時間)
composite number 合成数
7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777774777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<211>
prime factors 素因数
267266678616890593263543851182779634606749931978542649<54>
29101187690242211334966795358751972077079153752752555955390215479061907914653598321497921435841815208302577257840981114973912018666004736942214596300495175673<158>
factorization results 素因数分解の結果
Number: n
N=7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777774777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
  ( 211 digits)
SNFS difficulty: 211 digits.
Divisors found:

Sun Aug  5 03:27:13 2012  prp54 factor: 267266678616890593263543851182779634606749931978542649
Sun Aug  5 03:27:13 2012  prp158 factor: 29101187690242211334966795358751972077079153752752555955390215479061907914653598321497921435841815208302577257840981114973912018666004736942214596300495175673
Sun Aug  5 03:27:13 2012  elapsed time 14:06:37 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.099).
Factorization parameters were as follows:
name: KA_77477_105
n: 7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777774777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
m: 100000000000000000000000000000000000
#  c211, diff: 211.85
skew: 0.681
deg: 6
c6: 70
c3: -27
c0: -7
# Murphy_E = 5.276e-12
type: snfs
lss: 1
rlim: 24000000
alim: 24000000
lpbr: 28
lpba: 28
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 24000000/24000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 57/57
Sieved  special-q in [100000, 99400000)
Primes: RFBsize:1507122, AFBsize:1507488, 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9149418 hash collisions in 46067346 relations (37174544 unique)
Msieve: matrix is 2975100 x 2975325 (833.7 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,211,6,0,0,0,0,0,0,0,0,24000000,24000000,28,28,57,57,2.6,2.6,100000
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: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.11 BogoMIPS (lpj=2830559)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Total of 4 processors activated (22643.85 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 29, 2012 16:34:52 UTC 2012 年 6 月 30 日 (土) 1 時 34 分 52 秒 (日本時間)
2350Wataru SakaiJuly 1, 2012 02:04:54 UTC 2012 年 7 月 1 日 (日) 11 時 4 分 54 秒 (日本時間)
4511e60--
5043e61080 / 7426600Dmitry DomanovJuly 5, 2012 22:53:23 UTC 2012 年 7 月 6 日 (金) 7 時 53 分 23 秒 (日本時間)
480Dmitry DomanovJuly 12, 2012 22:24:28 UTC 2012 年 7 月 13 日 (金) 7 時 24 分 28 秒 (日本時間)

7×10213-27×10106-79

c164

name 名前Dmitry Domanov
date 日付June 29, 2012 06:07:02 UTC 2012 年 6 月 29 日 (金) 15 時 7 分 2 秒 (日本時間)
composite number 合成数
31275445439070544789256438482418107595087565742900580334721914650218232651759790590957240938660541321724186059681328095707029829202371870948755487704915514288968173<164>
prime factors 素因数
37023737232698506953294080130883666393<38>
844740368658645188604664256883571603513507872689551756846428667031791298223412071209234172248799232479074911294199152370577461<126>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2325030192
Step 1 took 25817ms
Step 2 took 9685ms
********** Factor found in step 2: 37023737232698506953294080130883666393
Found probable prime factor of 38 digits: 37023737232698506953294080130883666393

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)

7×10219-27×10109-79

c165

name 名前Erik Branger
date 日付August 26, 2018 13:26:09 UTC 2018 年 8 月 26 日 (日) 22 時 26 分 9 秒 (日本時間)
composite number 合成数
395350632250344356300969542328530139477395425725881529175089575522332494848389409724467138935799914313083443839985871251013051083266546507382484232064880949768207961<165>
prime factors 素因数
1169474813028108167055516175879088556677937435458200317392038112804309676247<76>
338058270127825453193165786257535385937333432543228584538391380690820233632523988335965263<90>
factorization results 素因数分解の結果
Number: 77477_109
N = 395350632250344356300969542328530139477395425725881529175089575522332494848389409724467138935799914313083443839985871251013051083266546507382484232064880949768207961 (165 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=1169474813028108167055516175879088556677937435458200317392038112804309676247 (pp76)
r2=338058270127825453193165786257535385937333432543228584538391380690820233632523988335965263 (pp90)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 34.91 hours.
Factorization parameters were as follows:
n: 395350632250344356300969542328530139477395425725881529175089575522332494848389409724467138935799914313083443839985871251013051083266546507382484232064880949768207961
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 7
c2: -27
c0: -70
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/29
Total raw relations: 29383383
Relations: 8436680 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 11.72 hours.
Total relation processing time: 0.25 hours.
Pruned matrix : 7141303 x 7141528
Matrix solve time: 22.81 hours.
time per square root: 0.13 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,536870912,29,29,58,58,2.8,2.8,100000
total time: 34.91 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.16299-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 29, 2012 16:35:06 UTC 2012 年 6 月 30 日 (土) 1 時 35 分 6 秒 (日本時間)
4511e61000Dmitry DomanovJuly 5, 2012 07:41:31 UTC 2012 年 7 月 5 日 (木) 16 時 41 分 31 秒 (日本時間)
5043e62140 / 7291640Dmitry DomanovJuly 5, 2012 22:54:03 UTC 2012 年 7 月 6 日 (金) 7 時 54 分 3 秒 (日本時間)
300Dmitry DomanovJuly 11, 2012 22:23:08 UTC 2012 年 7 月 12 日 (木) 7 時 23 分 8 秒 (日本時間)
1200Dmitry DomanovAugust 19, 2016 16:38:22 UTC 2016 年 8 月 20 日 (土) 1 時 38 分 22 秒 (日本時間)

7×10221-27×10110-79

c192

name 名前Dmitry Domanov
date 日付July 5, 2012 08:58:07 UTC 2012 年 7 月 5 日 (木) 17 時 58 分 7 秒 (日本時間)
composite number 合成数
676522971165868916352961578607487991732812859233968450732707288746015467380218069069125402513719618216055023042246425697357651012777513288936647345722952897784744389422860941540422807293356323<192>
prime factors 素因数
38244242057980431286106584578865811<35>
composite cofactor 合成数の残り
17689537947705222576853896794565514746438972999670148939354619178341327259355415998393280360364202365832537648142283785064422701939747339769411948007519346993<158>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=211153694
Step 1 took 27251ms
Step 2 took 11548ms
********** Factor found in step 2: 38244242057980431286106584578865811
Found probable prime factor of 35 digits: 38244242057980431286106584578865811

c158

name 名前Erik Branger
date 日付September 5, 2018 16:19:18 UTC 2018 年 9 月 6 日 (木) 1 時 19 分 18 秒 (日本時間)
composite number 合成数
17689537947705222576853896794565514746438972999670148939354619178341327259355415998393280360364202365832537648142283785064422701939747339769411948007519346993<158>
prime factors 素因数
32834141194205644208892160958973601058787163409650107862118133718123103531<74>
538754397231713105943464930838082977752400767834382832964749657328650115469459504403<84>
factorization results 素因数分解の結果
Number: 77477_110
N = 17689537947705222576853896794565514746438972999670148939354619178341327259355415998393280360364202365832537648142283785064422701939747339769411948007519346993 (158 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=32834141194205644208892160958973601058787163409650107862118133718123103531 (pp74)
r2=538754397231713105943464930838082977752400767834382832964749657328650115469459504403 (pp84)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 40.20 hours.
Factorization parameters were as follows:
n: 17689537947705222576853896794565514746438972999670148939354619178341327259355415998393280360364202365832537648142283785064422701939747339769411948007519346993
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 70
c2: -27
c0: -7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30508233
Relations: 8367440 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 17.61 hours.
Total relation processing time: 0.24 hours.
Pruned matrix : 7325645 x 7325871
Matrix solve time: 22.07 hours.
time per square root: 0.28 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 40.20 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.16299-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 29, 2012 16:35:15 UTC 2012 年 6 月 30 日 (土) 1 時 35 分 15 秒 (日本時間)
4511e61000Dmitry DomanovJuly 5, 2012 07:41:43 UTC 2012 年 7 月 5 日 (木) 16 時 41 分 43 秒 (日本時間)
5043e63140 / 7291640Dmitry DomanovJuly 5, 2012 22:54:38 UTC 2012 年 7 月 6 日 (金) 7 時 54 分 38 秒 (日本時間)
300Dmitry DomanovJuly 11, 2012 22:22:29 UTC 2012 年 7 月 12 日 (木) 7 時 22 分 29 秒 (日本時間)
1200Dmitry DomanovAugust 19, 2016 16:38:40 UTC 2016 年 8 月 20 日 (土) 1 時 38 分 40 秒 (日本時間)
1000Dmitry DomanovAugust 7, 2017 17:34:38 UTC 2017 年 8 月 8 日 (火) 2 時 34 分 38 秒 (日本時間)

7×10225-27×10112-79

c211

name 名前Serge Batalov
date 日付June 28, 2012 20:59:49 UTC 2012 年 6 月 29 日 (金) 5 時 59 分 49 秒 (日本時間)
composite number 合成数
8997079892138062061361488323914893208638513491186041625162593412219758267446518363411936595895378781572522643610246455822284542170119563658250952870948537441607824669958827065529475488830308657999049026848008097<211>
prime factors 素因数
10964572987535428523662728221<29>
820559077162966522199873653064256228426492855830359772162282082425671689876353064895913037527014250927766096788813950094066606364275122290558671939457171414061136771145210878746409557<183>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=1731917936
Step 1 took 10100ms
Step 2 took 7397ms
********** Factor found in step 2: 10964572987535428523662728221
Found probable prime factor of 29 digits: 10964572987535428523662728221
Probable prime cofactor 820559077162966522199873653064256228426492855830359772162282082425671689876353064895913037527014250927766096788813950094066606364275122290558671939457171414061136771145210878746409557 has 183 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)

7×10227-27×10113-79

c218

composite cofactor 合成数の残り
10401963673512893855958737089637948971675290512651550283914427800576361159922024735121238907196651812199950705744976827535939848798620199954109148651337974545709877026203595353296076138284394636712276195867582168555333<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 29, 2012 16:35:24 UTC 2012 年 6 月 30 日 (土) 1 時 35 分 24 秒 (日本時間)
4511e61000Dmitry DomanovJuly 5, 2012 07:41:55 UTC 2012 年 7 月 5 日 (木) 16 時 41 分 55 秒 (日本時間)
5043e6928 / 7291400Dmitry DomanovJuly 5, 2012 22:55:04 UTC 2012 年 7 月 6 日 (金) 7 時 55 分 4 秒 (日本時間)
528Dmitry DomanovJuly 11, 2012 22:21:40 UTC 2012 年 7 月 12 日 (木) 7 時 21 分 40 秒 (日本時間)

7×10229-27×10114-79

c209

composite cofactor 合成数の残り
41308930760840055447248398713243111366895795131871261151791602186571364168650803686807999268253880872126007816653794261859723035431674123632336260136224148874972911627048374767217658997044234573140597590644139<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 29, 2012 16:35:36 UTC 2012 年 6 月 30 日 (土) 1 時 35 分 36 秒 (日本時間)
4511e61000Dmitry DomanovJuly 5, 2012 07:42:06 UTC 2012 年 7 月 5 日 (木) 16 時 42 分 6 秒 (日本時間)
5043e61040 / 7291520Dmitry DomanovJuly 6, 2012 22:28:37 UTC 2012 年 7 月 7 日 (土) 7 時 28 分 37 秒 (日本時間)
520Dmitry DomanovJuly 10, 2012 20:28:10 UTC 2012 年 7 月 11 日 (水) 5 時 28 分 10 秒 (日本時間)

7×10231-27×10115-79

c202

composite cofactor 合成数の残り
2054266770216916825683021033963345109691044137503927818520305905167985116519645707622388458648547804869620347006740455321368078273003483521730805845454279335542716402947907710426341287944001506149045057<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 29, 2012 16:35:45 UTC 2012 年 6 月 30 日 (土) 1 時 35 分 45 秒 (日本時間)
4511e61000Dmitry DomanovJuly 5, 2012 07:42:18 UTC 2012 年 7 月 5 日 (木) 16 時 42 分 18 秒 (日本時間)
5043e61040 / 7291520Dmitry DomanovJuly 6, 2012 22:29:35 UTC 2012 年 7 月 7 日 (土) 7 時 29 分 35 秒 (日本時間)
520Dmitry DomanovJuly 10, 2012 20:27:35 UTC 2012 年 7 月 11 日 (水) 5 時 27 分 35 秒 (日本時間)

7×10233-27×10116-79

c216

composite cofactor 合成数の残り
945604851717029251445159073996329921208048558693450457274824511749633661466047715390228349723562922941735973755668396872740046407956595032002232333607300354103677189979186464822725303032788758857967444823015252187193<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 29, 2012 16:35:56 UTC 2012 年 6 月 30 日 (土) 1 時 35 分 56 秒 (日本時間)
4511e61800Dmitry DomanovJuly 4, 2012 22:55:13 UTC 2012 年 7 月 5 日 (木) 7 時 55 分 13 秒 (日本時間)
5043e6700 / 7111480Dmitry DomanovJuly 6, 2012 22:30:07 UTC 2012 年 7 月 7 日 (土) 7 時 30 分 7 秒 (日本時間)
220Dmitry DomanovJuly 12, 2012 22:22:25 UTC 2012 年 7 月 13 日 (金) 7 時 22 分 25 秒 (日本時間)

7×10235-27×10117-79

c193

name 名前Dmitry Domanov
date 日付July 8, 2012 18:51:23 UTC 2012 年 7 月 9 日 (月) 3 時 51 分 23 秒 (日本時間)
composite number 合成数
4109925487315163833457776573241934221367809972892904246106562937914784627665053592059809053959948980194491318838721292529438641605762004525399588741533010749994329883379370718924387350567564187<193>
prime factors 素因数
2584130676639263593957582083408238031447<40>
composite cofactor 合成数の残り
1590448008093863254692858245630492932911337308960183908952479235775056691424720884981815518258183189720032846494599163540038287747036318126505868077475421<154>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=916197302
Step 1 took 357530ms
********** Factor found in step 1: 2584130676639263593957582083408238031447
Found probable prime factor of 40 digits: 2584130676639263593957582083408238031447

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 29, 2012 16:36:05 UTC 2012 年 6 月 30 日 (土) 1 時 36 分 5 秒 (日本時間)
4511e61600Dmitry DomanovJuly 4, 2012 22:54:41 UTC 2012 年 7 月 5 日 (木) 7 時 54 分 41 秒 (日本時間)
5043e68414520Dmitry DomanovJuly 6, 2012 22:36:19 UTC 2012 年 7 月 7 日 (土) 7 時 36 分 19 秒 (日本時間)
240Dmitry DomanovJuly 12, 2012 22:23:43 UTC 2012 年 7 月 13 日 (金) 7 時 23 分 43 秒 (日本時間)
1200Dmitry DomanovAugust 19, 2016 17:04:13 UTC 2016 年 8 月 20 日 (土) 2 時 4 分 13 秒 (日本時間)
6454Ignacio SantosMarch 6, 2024 15:03:51 UTC 2024 年 3 月 7 日 (木) 0 時 3 分 51 秒 (日本時間)

7×10237-27×10118-79

c206

composite cofactor 合成数の残り
27690189208381995897203716195832673082204220135357489069021595162257956544395951411282318153236903788536799027217753951453267950680454976417628199260249000263743386797149644936725978582965482858922095300451<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 29, 2012 16:36:16 UTC 2012 年 6 月 30 日 (土) 1 時 36 分 16 秒 (日本時間)
4511e61600Dmitry DomanovJuly 4, 2012 22:54:04 UTC 2012 年 7 月 5 日 (木) 7 時 54 分 4 秒 (日本時間)
5043e6760 / 7156520Dmitry DomanovJuly 6, 2012 22:37:02 UTC 2012 年 7 月 7 日 (土) 7 時 37 分 2 秒 (日本時間)
240Dmitry DomanovJuly 12, 2012 22:23:03 UTC 2012 年 7 月 13 日 (金) 7 時 23 分 3 秒 (日本時間)

7×10239-27×10119-79

c219

composite cofactor 合成数の残り
218739042816443463752929189269786068110066518852949825885102349783487968667865544606310436824445862375980078113178341938989950512316105663608074061666365070932775261949220106658310422525300570312431527827966699853482877<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 29, 2012 16:36:27 UTC 2012 年 6 月 30 日 (土) 1 時 36 分 27 秒 (日本時間)
4511e61400Dmitry DomanovJuly 4, 2012 22:53:29 UTC 2012 年 7 月 5 日 (木) 7 時 53 分 29 秒 (日本時間)
5043e6960 / 7201480Dmitry DomanovJuly 6, 2012 22:37:31 UTC 2012 年 7 月 7 日 (土) 7 時 37 分 31 秒 (日本時間)
480Dmitry DomanovJuly 10, 2012 20:26:40 UTC 2012 年 7 月 11 日 (水) 5 時 26 分 40 秒 (日本時間)

7×10243-27×10121-79

c204

composite cofactor 合成数の残り
526682717735752376323188350907252549087262976507758481765322155576365673117655305135544580914878947850404033287844604262597850639066570080811489387662976464479598006633348205428504135320343962646417238103<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 29, 2012 16:36:35 UTC 2012 年 6 月 30 日 (土) 1 時 36 分 35 秒 (日本時間)
4511e61600Dmitry DomanovJuly 4, 2012 22:52:46 UTC 2012 年 7 月 5 日 (木) 7 時 52 分 46 秒 (日本時間)
5043e6920 / 7156400Dmitry DomanovJuly 8, 2012 22:46:49 UTC 2012 年 7 月 9 日 (月) 7 時 46 分 49 秒 (日本時間)
520Dmitry DomanovJuly 10, 2012 20:26:04 UTC 2012 年 7 月 11 日 (水) 5 時 26 分 4 秒 (日本時間)

7×10247-27×10123-79

c247

name 名前Dmitry Domanov
date 日付July 4, 2012 08:50:40 UTC 2012 年 7 月 4 日 (水) 17 時 50 分 40 秒 (日本時間)
composite number 合成数
7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777774777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<247>
prime factors 素因数
12337009614742067994580225640902515089162585861<47>
composite cofactor 合成数の残り
630442710240231026222825739661500066360671472702918473519841821297598210654782333097562850879127999419903489364737110450258976128172943519016018823939286880469124473358877367028322219911277341725221757<201>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2281253518
Step 1 took 135244ms
Step 2 took 30366ms
********** Factor found in step 2: 12337009614742067994580225640902515089162585861
Found probable prime factor of 47 digits: 12337009614742067994580225640902515089162585861

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 29, 2012 16:36:46 UTC 2012 年 6 月 30 日 (土) 1 時 36 分 46 秒 (日本時間)
2350Wataru SakaiJuly 1, 2012 02:04:26 UTC 2012 年 7 月 1 日 (日) 11 時 4 分 26 秒 (日本時間)
4511e61500Dmitry DomanovJuly 3, 2012 21:47:24 UTC 2012 年 7 月 4 日 (水) 6 時 47 分 24 秒 (日本時間)
5043e6640 / 7089440Dmitry DomanovJuly 8, 2012 22:48:35 UTC 2012 年 7 月 9 日 (月) 7 時 48 分 35 秒 (日本時間)
200Dmitry DomanovJuly 12, 2012 22:25:59 UTC 2012 年 7 月 13 日 (金) 7 時 25 分 59 秒 (日本時間)

7×10251-27×10125-79

c237

composite cofactor 合成数の残り
894401694431982966301112530150894234075369201534428302445134355335029973337886165878567287751858415259535879412156082413466439080826598023432804548792172023537245667236624197630056784284435787917994117866872706477860506215160283538953673<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 29, 2012 16:43:31 UTC 2012 年 6 月 30 日 (土) 1 時 43 分 31 秒 (日本時間)
4511e61000Dmitry DomanovJuly 4, 2012 22:51:16 UTC 2012 年 7 月 5 日 (木) 7 時 51 分 16 秒 (日本時間)
5043e6940 / 7291440Dmitry DomanovJuly 10, 2012 20:24:36 UTC 2012 年 7 月 11 日 (水) 5 時 24 分 36 秒 (日本時間)
500Dmitry DomanovJuly 12, 2012 22:26:39 UTC 2012 年 7 月 13 日 (金) 7 時 26 分 39 秒 (日本時間)

7×10253-27×10126-79

c218

composite cofactor 合成数の残り
13005215543245659438023212737175772846391181881659524282288787959102470571844714913314961755702685551375043281570959131629308927364829069836214834264164858962952203321250431994262661544809811146816282535117367805951207<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 29, 2012 16:43:44 UTC 2012 年 6 月 30 日 (土) 1 時 43 分 44 秒 (日本時間)
4511e61200Dmitry DomanovJuly 4, 2012 22:51:48 UTC 2012 年 7 月 5 日 (木) 7 時 51 分 48 秒 (日本時間)
5043e6880 / 7246400Dmitry DomanovJuly 8, 2012 22:50:22 UTC 2012 年 7 月 9 日 (月) 7 時 50 分 22 秒 (日本時間)
480Dmitry DomanovJuly 10, 2012 20:25:19 UTC 2012 年 7 月 11 日 (水) 5 時 25 分 19 秒 (日本時間)

7×10255-27×10127-79

c232

name 名前Serge Batalov
date 日付June 28, 2012 20:59:27 UTC 2012 年 6 月 29 日 (金) 5 時 59 分 27 秒 (日本時間)
composite number 合成数
5332720288617776706050223206946931133719766547694738758640960810838419681385196067382546494775438581963160318125884225243428163224816860625063167371507846141872892659419596277123841886130034950638051207828577380320798367225266274631<232>
prime factors 素因数
417053345329215557639505974191<30>
composite cofactor 合成数の残り
12786662301936958558550821080589045963922586316286050745768938123095587190877754308139690686803198620747934874463677272486252176564360975667077466049149387445857715596544931653301021374662100071303780841<203>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=1365341204
Step 1 took 13133ms
Step 2 took 8384ms
********** Factor found in step 2: 417053345329215557639505974191
Found probable prime factor of 30 digits: 417053345329215557639505974191
Composite cofactor 12786662301936958558550821080589045963922586316286050745768938123095587190877754308139690686803198620747934874463677272486252176564360975667077466049149387445857715596544931653301021374662100071303780841 has 203 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 29, 2012 16:43:59 UTC 2012 年 6 月 30 日 (土) 1 時 43 分 59 秒 (日本時間)
4511e61600Dmitry DomanovJuly 3, 2012 21:46:51 UTC 2012 年 7 月 4 日 (水) 6 時 46 分 51 秒 (日本時間)
5043e6690 / 7079440Dmitry DomanovJuly 8, 2012 22:49:52 UTC 2012 年 7 月 9 日 (月) 7 時 49 分 52 秒 (日本時間)
250Dmitry DomanovJuly 12, 2012 22:27:36 UTC 2012 年 7 月 13 日 (金) 7 時 27 分 36 秒 (日本時間)
5511e732 / 17415Dmitry DomanovJuly 14, 2012 20:02:26 UTC 2012 年 7 月 15 日 (日) 5 時 2 分 26 秒 (日本時間)

7×10257-27×10128-79

c226

name 名前Dmitry Domanov
date 日付June 30, 2012 11:14:42 UTC 2012 年 6 月 30 日 (土) 20 時 14 分 42 秒 (日本時間)
composite number 合成数
8167317320128272131658255911446611954725758967094462320317229680648607573113286456680507363061326957446155383266447308546670533419137560811180132438536161685796223454275509167349427422138459612401291593615580985575110786184467<226>
prime factors 素因数
193227891566768951765061110617<30>
composite cofactor 合成数の残り
42267797127549236979763515888287442807935266451045520034055764061610713757330489800722555199343658690645052730899857058388041879253486439313830860174998955726304437058775144547430934309975852479051<197>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3676087656
Step 1 took 30902ms
Step 2 took 11295ms
********** Factor found in step 2: 193227891566768951765061110617
Found probable prime factor of 30 digits: 193227891566768951765061110617

c197

name 名前Dmitry Domanov
date 日付July 4, 2012 08:51:43 UTC 2012 年 7 月 4 日 (水) 17 時 51 分 43 秒 (日本時間)
composite number 合成数
42267797127549236979763515888287442807935266451045520034055764061610713757330489800722555199343658690645052730899857058388041879253486439313830860174998955726304437058775144547430934309975852479051<197>
prime factors 素因数
267555238143218251452128218284329788987279<42>
composite cofactor 合成数の残り
157977834487112256633621127677127607583087733568985042841372203071994927442706254344827329658430712659067841415884943757859652875348722367528204335455419269<156>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3991717730
Step 1 took 103136ms
Step 2 took 32896ms
********** Factor found in step 2: 267555238143218251452128218284329788987279
Found probable prime factor of 42 digits: 267555238143218251452128218284329788987279

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 29, 2012 16:44:12 UTC 2012 年 6 月 30 日 (土) 1 時 44 分 12 秒 (日本時間)
4511e61600Dmitry DomanovJuly 3, 2012 21:46:17 UTC 2012 年 7 月 4 日 (水) 6 時 46 分 17 秒 (日本時間)
5043e67158600Dmitry DomanovJuly 8, 2012 22:49:19 UTC 2012 年 7 月 9 日 (月) 7 時 49 分 19 秒 (日本時間)
160Dmitry DomanovJuly 14, 2012 20:01:16 UTC 2012 年 7 月 15 日 (日) 5 時 1 分 16 秒 (日本時間)
1200Dmitry DomanovAugust 19, 2016 17:04:54 UTC 2016 年 8 月 20 日 (土) 2 時 4 分 54 秒 (日本時間)
5198Ignacio SantosOctober 11, 2024 15:54:51 UTC 2024 年 10 月 12 日 (土) 0 時 54 分 51 秒 (日本時間)

7×10261-27×10130-79

c252

composite cofactor 合成数の残り
571972502757596077329754470006801760546496246096541277201611613485141774408761357265062575780223231668874238256100890914821049960584635356238346276278071717837924744179094282769172916814275916867160249341054972252645214940415531376932911506913648050713<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 29, 2012 16:44:26 UTC 2012 年 6 月 30 日 (土) 1 時 44 分 26 秒 (日本時間)
4511e61200Dmitry DomanovJuly 3, 2012 21:45:38 UTC 2012 年 7 月 4 日 (水) 6 時 45 分 38 秒 (日本時間)
5043e6870600Dmitry DomanovJuly 10, 2012 20:23:17 UTC 2012 年 7 月 11 日 (水) 5 時 23 分 17 秒 (日本時間)
270Dmitry DomanovJuly 12, 2012 22:28:44 UTC 2012 年 7 月 13 日 (金) 7 時 28 分 44 秒 (日本時間)
5511e72656 / 173761Dmitry DomanovJuly 14, 2012 20:03:44 UTC 2012 年 7 月 15 日 (日) 5 時 3 分 44 秒 (日本時間)
2655yoyo@homeSeptember 29, 2012 06:55:46 UTC 2012 年 9 月 29 日 (土) 15 時 55 分 46 秒 (日本時間)

7×10263-27×10131-79

c263

name 名前transtec-AG
date 日付October 6, 2012 12:15:43 UTC 2012 年 10 月 6 日 (土) 21 時 15 分 43 秒 (日本時間)
composite number 合成数
77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<263>
prime factors 素因数
7204349023944854312288210984164933981201597322778053<52>
composite cofactor 合成数の残り
10795948047390593462362475048135052472890411285008290132469807483615666664013937905602328593887988877528518899476953467863671113612610449922051245266390360033593805147815162101850638654555647643969859174233490109<212>
factorization results 素因数分解の結果
GMP-ECM 6.2 [powered by GMP 4.2.2] [ECM]
Running on ubuntu
Input number is 77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (263 digits)
[Fri Oct  5 23:44:50 2012]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1825831999
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
20       25      30      35      40      45      50      55      60      65
2       4       10      34      135     613     3133    17769   111196  751771
Step 1 took 2116772ms
Using 31 small primes for NTT
Estimated memory usage: 698M
Initializing tables of differences for F took 1320ms
Computing roots of F took 53887ms
Building F from its roots took 64636ms
Computing 1/F took 38487ms
Initializing table of differences for G took 1128ms
Computing roots of G took 44479ms
Building G from its roots took 72736ms
Computing roots of G took 44731ms
Building G from its roots took 73568ms
Computing G * H took 19566ms
Reducing  G * H mod F took 20345ms
Computing roots of G took 44423ms
Building G from its roots took 70708ms
Computing G * H took 19517ms
Reducing  G * H mod F took 20258ms
Computing roots of G took 44866ms
Building G from its roots took 71689ms
Computing G * H took 19641ms
Reducing  G * H mod F took 20073ms
Computing polyeval(F,G) took 136129ms
Computing product of all F(g_i) took 236ms
Step 2 took 883051ms
********** Factor found in step 2: 7204349023944854312288210984164933981201597322778053
Found probable prime factor of 52 digits: 7204349023944854312288210984164933981201597322778053
Composite cofactor 10795948047390593462362475048135052472890411285008290132469807483615666664013937905602328593887988877528518899476953467863671113612610449922051245266390360033593805147815162101850638654555647643969859174233490109 has 212 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 29, 2012 16:44:41 UTC 2012 年 6 月 30 日 (土) 1 時 44 分 41 秒 (日本時間)
4511e620001000Dmitry DomanovJuly 3, 2012 21:45:04 UTC 2012 年 7 月 4 日 (水) 6 時 45 分 4 秒 (日本時間)
1000Serge BatalovJuly 3, 2012 22:23:56 UTC 2012 年 7 月 4 日 (水) 7 時 23 分 56 秒 (日本時間)
5043e63200 / 3341800Dmitry DomanovJuly 6, 2012 09:26:52 UTC 2012 年 7 月 6 日 (金) 18 時 26 分 52 秒 (日本時間)
2400Dmitry DomanovAugust 19, 2012 20:42:39 UTC 2012 年 8 月 20 日 (月) 5 時 42 分 39 秒 (日本時間)
5511e71545 / 16494yoyo@homeOctober 5, 2012 06:00:14 UTC 2012 年 10 月 5 日 (金) 15 時 0 分 14 秒 (日本時間)

7×10265-27×10132-79

c220

name 名前Dmitry Domanov
date 日付June 30, 2012 11:15:14 UTC 2012 年 6 月 30 日 (土) 20 時 15 分 14 秒 (日本時間)
composite number 合成数
1833862933367384516348136082630458097871294504542768048074610469206088234849531329373047967968837856707160046582739237723306100001488615557284640366428501587640199014464735668606265356039868697210128233274028430925436371<220>
prime factors 素因数
595424189582050766955840363604300343<36>
composite cofactor 合成数の残り
3079926824361364240881954142020763114101393841935647464357850211919572334433402178466615754589497645717477717360618099658276208444020298636627068700647695074461609070958868782688041797<184>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1515824901
Step 1 took 30669ms
Step 2 took 10955ms
********** Factor found in step 2: 595424189582050766955840363604300343
Found probable prime factor of 36 digits: 595424189582050766955840363604300343

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 29, 2012 16:44:55 UTC 2012 年 6 月 30 日 (土) 1 時 44 分 55 秒 (日本時間)
4511e62000Dmitry DomanovJuly 3, 2012 21:44:02 UTC 2012 年 7 月 4 日 (水) 6 時 44 分 2 秒 (日本時間)
5043e61840 / 7059640Dmitry DomanovJuly 12, 2012 22:29:42 UTC 2012 年 7 月 13 日 (金) 7 時 29 分 42 秒 (日本時間)
1200Dmitry DomanovAugust 7, 2017 16:08:48 UTC 2017 年 8 月 8 日 (火) 1 時 8 分 48 秒 (日本時間)
5511e71 / 16977Dmitry DomanovJuly 14, 2012 15:22:59 UTC 2012 年 7 月 15 日 (日) 0 時 22 分 59 秒 (日本時間)
6026e71 / 41769Dmitry DomanovJuly 14, 2012 15:22:59 UTC 2012 年 7 月 15 日 (日) 0 時 22 分 59 秒 (日本時間)

7×10267-27×10133-79

c226

composite cofactor 合成数の残り
1161609940817223147251103953688446943789751189030972192695877831163039267799085655062781407122156938391443478638090653724450711574619717032513544191662078386231070248482466725698029109466049571623445327918679561891595631796259<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 29, 2012 16:45:09 UTC 2012 年 6 月 30 日 (土) 1 時 45 分 9 秒 (日本時間)
4511e61000Dmitry DomanovJuly 3, 2012 21:39:29 UTC 2012 年 7 月 4 日 (水) 6 時 39 分 29 秒 (日本時間)
5043e6928 / 7291480Dmitry DomanovJuly 14, 2012 20:04:48 UTC 2012 年 7 月 15 日 (日) 5 時 4 分 48 秒 (日本時間)
448Dmitry DomanovJuly 16, 2012 21:33:21 UTC 2012 年 7 月 17 日 (火) 6 時 33 分 21 秒 (日本時間)

7×10271-27×10135-79

c199

name 名前Dmitry Domanov
date 日付July 2, 2012 07:05:15 UTC 2012 年 7 月 2 日 (月) 16 時 5 分 15 秒 (日本時間)
composite number 合成数
2422946495742022902257643691251868036731996558146025165082282831435852907092940307436382024545507882415369557633964902278636992547569343342449584680871832499541619924747605183722810172514357957061089<199>
prime factors 素因数
2563941590451448449166019969391853<34>
composite cofactor 合成数の残り
945008460709668623231583086207491638475799007169815971818825229911183606298101324659070276244483064087785421173422829170993292902307451983089177509685004592385939013<165>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3207953926
Step 1 took 39547ms
Step 2 took 19027ms
********** Factor found in step 2: 2563941590451448449166019969391853
Found probable prime factor of 34 digits: 2563941590451448449166019969391853

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 30, 2012 22:19:43 UTC 2012 年 7 月 1 日 (日) 7 時 19 分 43 秒 (日本時間)
4511e62400Dmitry DomanovJuly 3, 2012 21:43:13 UTC 2012 年 7 月 4 日 (水) 6 時 43 分 13 秒 (日本時間)
5043e63040 / 6976640Dmitry DomanovJuly 14, 2012 20:05:47 UTC 2012 年 7 月 15 日 (日) 5 時 5 分 47 秒 (日本時間)
1200Dmitry DomanovAugust 19, 2016 17:05:16 UTC 2016 年 8 月 20 日 (土) 2 時 5 分 16 秒 (日本時間)
1200Dmitry DomanovAugust 7, 2017 16:07:55 UTC 2017 年 8 月 8 日 (火) 1 時 7 分 55 秒 (日本時間)

7×10275-27×10137-79

c275

name 名前Alfred Reich
date 日付October 6, 2017 11:38:18 UTC 2017 年 10 月 6 日 (金) 20 時 38 分 18 秒 (日本時間)
composite number 合成数
77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<275>
prime factors 素因数
17783338749850324659530314136241093884108150617292028363225235667<65>
5728683950135865775006065633318050252133684586325264559163920687049979848681<76>
763461895532050887992545993448482577644898158920854775602388946990861331327618306319459621652895968318115872306986512963787257899825651<135>
factorization results 素因数分解の結果
#####
##### siever: 15e                                                                 
##### qrange: 16M - 323M                                                  
##### params: type: snfs                                                     
#####         rlim: 250000000                                                
#####         alim: 250000000                                              
#####         lpbr: 33                         
#####         lpba: 33                        
#####         mfbr: 66                        
#####         mfba: 66                       
#####         rlambda: 3.0                 
#####         alambda: 3.0                
##### Murphy_E = 2.795e-14        
#####                                         
##### 0.6 sec per unique relation   
##### 7e8 unique relations                     
##### 42e7 sec = 4860 cpu-days                 
#####
##### time stamps are not correct, since postprocessing was interrupted
#####
##### msieve 153 svn 1005 failed
##### in my opinion msieve 153 svn 1005 is buggy
#####
Mon Sep 25 09:43:52 2017  
Mon Sep 25 09:43:52 2017  
Mon Sep 25 09:43:52 2017  Msieve v. 1.53 (SVN unknown)
Mon Sep 25 09:43:52 2017  random seeds: 5c6bb944 22877afe
Mon Sep 25 09:43:52 2017  factoring 77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (275 digits)
Mon Sep 25 09:43:55 2017  no P-1/P+1/ECM available, skipping
Mon Sep 25 09:43:55 2017  commencing number field sieve (275-digit input)
Mon Sep 25 09:43:55 2017  R0: -10000000000000000000000000000000000000000000000
Mon Sep 25 09:43:55 2017  R1: 1
Mon Sep 25 09:43:55 2017  A0: -70
Mon Sep 25 09:43:55 2017  A1: 0
Mon Sep 25 09:43:55 2017  A2: 0
Mon Sep 25 09:43:55 2017  A3: -27
Mon Sep 25 09:43:55 2017  A4: 0
Mon Sep 25 09:43:55 2017  A5: 0
Mon Sep 25 09:43:55 2017  A6: 7
Mon Sep 25 09:43:55 2017  skew 1.47, size 1.306e-013, alpha 0.146, combined = 2.466e-014 rroots = 2
Mon Sep 25 09:43:56 2017  
Mon Sep 25 09:43:56 2017  commencing relation filtering
Mon Sep 25 09:43:56 2017  setting target matrix density to 100.0
Mon Sep 25 09:43:56 2017  estimated available RAM is 130995.6 MB
Mon Sep 25 09:43:56 2017  commencing duplicate removal, pass 1
Mon Sep 25 13:41:10 2017  skipped 34 relations with b > 2^32
Mon Sep 25 13:41:10 2017  skipped 2 relations with composite factors
Mon Sep 25 13:41:10 2017  found 97853322 hash collisions in 701364052 relations
Mon Sep 25 13:41:57 2017  added 406891 free relations
Mon Sep 25 13:41:57 2017  commencing duplicate removal, pass 2
Mon Sep 25 14:33:56 2017  found 8880591 duplicates and 692890352 unique relations
Mon Sep 25 14:33:56 2017  memory use: 4262.0 MB
Mon Sep 25 14:33:56 2017  reading ideals above 1281818624
Mon Sep 25 14:33:56 2017  commencing singleton removal, initial pass
Mon Sep 25 17:23:55 2017  memory use: 11024.0 MB
Mon Sep 25 17:23:55 2017  reading all ideals from disk
Mon Sep 25 17:24:04 2017  memory use: 9499.9 MB
Mon Sep 25 17:24:44 2017  commencing in-memory singleton removal
Mon Sep 25 17:25:30 2017  begin with 692890352 relations and 498237483 unique ideals
Mon Sep 25 17:34:07 2017  reduce to 431173753 relations and 206094397 ideals in 13 passes
Mon Sep 25 17:34:07 2017  max relations containing the same ideal: 57
Mon Sep 25 17:34:59 2017  reading ideals above 720000
Mon Sep 25 17:34:59 2017  commencing singleton removal, initial pass
Mon Sep 25 20:03:18 2017  memory use: 11024.0 MB
Mon Sep 25 20:03:19 2017  reading all ideals from disk
Mon Sep 25 20:03:33 2017  memory use: 18495.6 MB
Mon Sep 25 20:05:40 2017  keeping 331072189 ideals with weight <= 200, target excess is 2458427
Mon Sep 25 20:08:08 2017  commencing in-memory singleton removal
Mon Sep 25 20:09:23 2017  begin with 431173753 relations and 331072189 unique ideals
Mon Sep 25 20:34:13 2017  reduce to 422406662 relations and 322268040 ideals in 13 passes
Mon Sep 25 20:34:13 2017  max relations containing the same ideal: 200
Mon Sep 25 20:41:11 2017  removing 14732244 relations and 12732244 ideals in 2000000 cliques
Mon Sep 25 20:41:21 2017  commencing in-memory singleton removal
Mon Sep 25 20:42:51 2017  begin with 407674418 relations and 322268040 unique ideals
Mon Sep 25 20:57:55 2017  reduce to 407329432 relations and 309188595 ideals in 8 passes
Mon Sep 25 20:57:55 2017  max relations containing the same ideal: 200
Mon Sep 25 21:04:28 2017  removing 10980590 relations and 8980590 ideals in 2000000 cliques
Mon Sep 25 21:04:38 2017  commencing in-memory singleton removal
Mon Sep 25 21:06:00 2017  begin with 396348842 relations and 309188595 unique ideals
Mon Sep 25 21:17:33 2017  reduce to 396131766 relations and 299989752 ideals in 7 passes
Mon Sep 25 21:17:33 2017  max relations containing the same ideal: 198
Mon Sep 25 21:23:59 2017  removing 9782931 relations and 7782931 ideals in 2000000 cliques
Mon Sep 25 21:24:08 2017  commencing in-memory singleton removal
Mon Sep 25 21:25:33 2017  begin with 386348835 relations and 299989752 unique ideals
Mon Sep 25 21:37:38 2017  reduce to 386168198 relations and 292025158 ideals in 7 passes
Mon Sep 25 21:37:38 2017  max relations containing the same ideal: 194
Mon Sep 25 21:44:08 2017  removing 9072841 relations and 7072841 ideals in 2000000 cliques
Mon Sep 25 21:44:16 2017  commencing in-memory singleton removal
Mon Sep 25 21:45:30 2017  begin with 377095357 relations and 292025158 unique ideals
Mon Sep 25 21:56:45 2017  reduce to 376932998 relations and 284789117 ideals in 7 passes
Mon Sep 25 21:56:45 2017  max relations containing the same ideal: 193
Mon Sep 25 22:03:14 2017  removing 8594435 relations and 6594435 ideals in 2000000 cliques
Mon Sep 25 22:03:22 2017  commencing in-memory singleton removal
Mon Sep 25 22:04:39 2017  begin with 368338563 relations and 284789117 unique ideals
Mon Sep 25 22:14:43 2017  reduce to 368186952 relations and 278042263 ideals in 6 passes
Mon Sep 25 22:14:43 2017  max relations containing the same ideal: 193
Mon Sep 25 22:21:34 2017  removing 8235731 relations and 6235731 ideals in 2000000 cliques
Mon Sep 25 22:21:41 2017  commencing in-memory singleton removal
Mon Sep 25 22:22:55 2017  begin with 359951221 relations and 278042263 unique ideals
Mon Sep 25 22:33:40 2017  reduce to 359806704 relations and 271661191 ideals in 7 passes
Mon Sep 25 22:33:40 2017  max relations containing the same ideal: 189
Mon Sep 25 22:39:16 2017  removing 7959682 relations and 5959682 ideals in 2000000 cliques
Mon Sep 25 22:39:26 2017  commencing in-memory singleton removal
Mon Sep 25 22:40:24 2017  begin with 351847022 relations and 271661191 unique ideals
Mon Sep 25 22:49:14 2017  reduce to 351708855 relations and 265562622 ideals in 6 passes
Mon Sep 25 22:49:14 2017  max relations containing the same ideal: 185
Mon Sep 25 22:55:03 2017  removing 7742364 relations and 5742364 ideals in 2000000 cliques
Mon Sep 25 22:55:10 2017  commencing in-memory singleton removal
Mon Sep 25 22:56:21 2017  begin with 343966491 relations and 265562622 unique ideals
Mon Sep 25 23:09:00 2017  reduce to 343832682 relations and 259685754 ideals in 8 passes
Mon Sep 25 23:09:00 2017  max relations containing the same ideal: 182
Mon Sep 25 23:14:39 2017  removing 7559241 relations and 5559241 ideals in 2000000 cliques
Mon Sep 25 23:14:46 2017  commencing in-memory singleton removal
Mon Sep 25 23:15:50 2017  begin with 336273441 relations and 259685754 unique ideals
Mon Sep 25 23:25:18 2017  reduce to 336142412 relations and 253994781 ideals in 6 passes
Mon Sep 25 23:25:18 2017  max relations containing the same ideal: 180
Mon Sep 25 23:31:13 2017  removing 7408779 relations and 5408779 ideals in 2000000 cliques
Mon Sep 25 23:31:20 2017  commencing in-memory singleton removal
Mon Sep 25 23:32:15 2017  begin with 328733633 relations and 253994781 unique ideals
Mon Sep 25 23:40:55 2017  reduce to 328604801 relations and 248456448 ideals in 6 passes
Mon Sep 25 23:40:55 2017  max relations containing the same ideal: 176
Mon Sep 25 23:46:02 2017  removing 7278057 relations and 5278057 ideals in 2000000 cliques
Mon Sep 25 23:46:09 2017  commencing in-memory singleton removal
Mon Sep 25 23:47:15 2017  begin with 321326744 relations and 248456448 unique ideals
Mon Sep 25 23:56:59 2017  reduce to 321201199 relations and 243052086 ideals in 7 passes
Mon Sep 25 23:56:59 2017  max relations containing the same ideal: 174
Tue Sep 26 00:02:19 2017  removing 7164691 relations and 5164691 ideals in 2000000 cliques
Tue Sep 26 00:02:25 2017  commencing in-memory singleton removal
Tue Sep 26 00:03:33 2017  begin with 314036508 relations and 243052086 unique ideals
Tue Sep 26 00:12:38 2017  reduce to 313912023 relations and 237762142 ideals in 7 passes
Tue Sep 26 00:12:38 2017  max relations containing the same ideal: 173
Tue Sep 26 00:17:54 2017  removing 7071356 relations and 5071356 ideals in 2000000 cliques
Tue Sep 26 00:18:00 2017  commencing in-memory singleton removal
Tue Sep 26 00:18:55 2017  begin with 306840667 relations and 237762142 unique ideals
Tue Sep 26 08:02:16 2017  reduce to 306715751 relations and 232564975 ideals in 6 passes
Tue Sep 26 08:02:16 2017  max relations containing the same ideal: 171
Tue Sep 26 08:07:50 2017  removing 6984533 relations and 4984533 ideals in 2000000 cliques
Tue Sep 26 08:07:56 2017  commencing in-memory singleton removal
Tue Sep 26 08:08:42 2017  begin with 299731218 relations and 232564975 unique ideals
Tue Sep 26 08:16:28 2017  reduce to 299607224 relations and 227455599 ideals in 6 passes
Tue Sep 26 08:16:28 2017  max relations containing the same ideal: 169
Tue Sep 26 08:21:45 2017  removing 6909971 relations and 4909971 ideals in 2000000 cliques
Tue Sep 26 08:21:53 2017  commencing in-memory singleton removal
Tue Sep 26 08:22:39 2017  begin with 292697253 relations and 227455599 unique ideals
Tue Sep 26 08:31:20 2017  reduce to 292573669 relations and 222421147 ideals in 7 passes
Tue Sep 26 08:31:20 2017  max relations containing the same ideal: 167
Tue Sep 26 08:35:34 2017  removing 6844021 relations and 4844021 ideals in 2000000 cliques
Tue Sep 26 08:35:40 2017  commencing in-memory singleton removal
Tue Sep 26 08:36:31 2017  begin with 285729648 relations and 222421147 unique ideals
Tue Sep 26 08:44:03 2017  reduce to 285606047 relations and 217452588 ideals in 6 passes
Tue Sep 26 08:44:03 2017  max relations containing the same ideal: 161
Tue Sep 26 08:48:49 2017  removing 6783074 relations and 4783074 ideals in 2000000 cliques
Tue Sep 26 08:48:55 2017  commencing in-memory singleton removal
Tue Sep 26 08:49:43 2017  begin with 278822973 relations and 217452588 unique ideals
Tue Sep 26 08:57:24 2017  reduce to 278698766 relations and 212544395 ideals in 6 passes
Tue Sep 26 08:57:24 2017  max relations containing the same ideal: 158
Tue Sep 26 09:01:26 2017  removing 6731205 relations and 4731205 ideals in 2000000 cliques
Tue Sep 26 09:01:31 2017  commencing in-memory singleton removal
Tue Sep 26 09:02:09 2017  begin with 271967561 relations and 212544395 unique ideals
Tue Sep 26 09:07:12 2017  reduce to 271843124 relations and 207687764 ideals in 6 passes
Tue Sep 26 09:07:12 2017  max relations containing the same ideal: 156
Tue Sep 26 09:10:31 2017  removing 6686987 relations and 4686987 ideals in 2000000 cliques
Tue Sep 26 09:10:35 2017  commencing in-memory singleton removal
Tue Sep 26 09:11:08 2017  begin with 265156137 relations and 207687764 unique ideals
Tue Sep 26 09:14:38 2017  reduce to 265029618 relations and 202873248 ideals in 6 passes
Tue Sep 26 09:14:38 2017  max relations containing the same ideal: 153
Tue Sep 26 09:17:19 2017  removing 6641844 relations and 4641844 ideals in 2000000 cliques
Tue Sep 26 09:17:23 2017  commencing in-memory singleton removal
Tue Sep 26 09:17:51 2017  begin with 258387774 relations and 202873248 unique ideals
Tue Sep 26 09:20:43 2017  reduce to 258261562 relations and 198104092 ideals in 6 passes
Tue Sep 26 09:20:43 2017  max relations containing the same ideal: 151
Tue Sep 26 09:23:17 2017  removing 6601420 relations and 4601420 ideals in 2000000 cliques
Tue Sep 26 09:23:20 2017  commencing in-memory singleton removal
Tue Sep 26 09:23:50 2017  begin with 251660142 relations and 198104092 unique ideals
Tue Sep 26 09:26:36 2017  reduce to 251531604 relations and 193372943 ideals in 6 passes
Tue Sep 26 09:26:36 2017  max relations containing the same ideal: 150
Tue Sep 26 09:29:09 2017  removing 6568255 relations and 4568255 ideals in 2000000 cliques
Tue Sep 26 09:29:13 2017  commencing in-memory singleton removal
Tue Sep 26 09:29:35 2017  begin with 244963349 relations and 193372943 unique ideals
Tue Sep 26 09:32:27 2017  reduce to 244833468 relations and 188673589 ideals in 7 passes
Tue Sep 26 09:32:27 2017  max relations containing the same ideal: 148
Tue Sep 26 09:34:34 2017  removing 6540443 relations and 4540443 ideals in 2000000 cliques
Tue Sep 26 09:34:37 2017  commencing in-memory singleton removal
Tue Sep 26 09:35:03 2017  begin with 238293025 relations and 188673589 unique ideals
Tue Sep 26 09:37:49 2017  reduce to 238161488 relations and 184000282 ideals in 6 passes
Tue Sep 26 09:37:49 2017  max relations containing the same ideal: 146
Tue Sep 26 09:40:26 2017  removing 6510808 relations and 4510808 ideals in 2000000 cliques
Tue Sep 26 09:40:30 2017  commencing in-memory singleton removal
Tue Sep 26 09:40:56 2017  begin with 231650680 relations and 184000282 unique ideals
Tue Sep 26 09:44:24 2017  reduce to 231517812 relations and 179355287 ideals in 7 passes
Tue Sep 26 09:44:24 2017  max relations containing the same ideal: 145
Tue Sep 26 09:46:39 2017  removing 6486916 relations and 4486917 ideals in 2000000 cliques
Tue Sep 26 09:46:43 2017  commencing in-memory singleton removal
Tue Sep 26 09:47:05 2017  begin with 225030896 relations and 179355287 unique ideals
Tue Sep 26 09:49:17 2017  reduce to 224895395 relations and 174731482 ideals in 6 passes
Tue Sep 26 09:49:17 2017  max relations containing the same ideal: 142
Tue Sep 26 09:51:24 2017  removing 6463044 relations and 4463044 ideals in 2000000 cliques
Tue Sep 26 09:51:27 2017  commencing in-memory singleton removal
Tue Sep 26 09:51:48 2017  begin with 218432351 relations and 174731482 unique ideals
Tue Sep 26 09:57:03 2017  reduce to 218295105 relations and 170129668 ideals in 7 passes
Tue Sep 26 09:57:03 2017  max relations containing the same ideal: 141
Tue Sep 26 10:00:09 2017  removing 6445880 relations and 4445880 ideals in 2000000 cliques
Tue Sep 26 10:00:13 2017  commencing in-memory singleton removal
Tue Sep 26 10:00:55 2017  begin with 211849225 relations and 170129668 unique ideals
Tue Sep 26 10:05:24 2017  reduce to 211709283 relations and 165542375 ideals in 6 passes
Tue Sep 26 10:05:24 2017  max relations containing the same ideal: 136
Tue Sep 26 10:08:22 2017  removing 6432462 relations and 4432462 ideals in 2000000 cliques
Tue Sep 26 10:08:26 2017  commencing in-memory singleton removal
Tue Sep 26 10:08:53 2017  begin with 205276821 relations and 165542375 unique ideals
Tue Sep 26 10:12:53 2017  reduce to 205134408 relations and 160965868 ideals in 6 passes
Tue Sep 26 10:12:53 2017  max relations containing the same ideal: 131
Tue Sep 26 10:15:35 2017  removing 6416400 relations and 4416400 ideals in 2000000 cliques
Tue Sep 26 10:15:40 2017  commencing in-memory singleton removal
Tue Sep 26 10:16:06 2017  begin with 198718008 relations and 160965868 unique ideals
Tue Sep 26 10:20:52 2017  reduce to 198573038 relations and 156402839 ideals in 7 passes
Tue Sep 26 10:20:52 2017  max relations containing the same ideal: 128
Tue Sep 26 10:23:45 2017  removing 6409732 relations and 4409732 ideals in 2000000 cliques
Tue Sep 26 10:23:49 2017  commencing in-memory singleton removal
Tue Sep 26 10:24:15 2017  begin with 192163306 relations and 156402839 unique ideals
Tue Sep 26 10:26:28 2017  reduce to 192014919 relations and 151843008 ideals in 6 passes
Tue Sep 26 10:26:28 2017  max relations containing the same ideal: 124
Tue Sep 26 10:28:17 2017  removing 6399223 relations and 4399223 ideals in 2000000 cliques
Tue Sep 26 10:28:20 2017  commencing in-memory singleton removal
Tue Sep 26 10:28:37 2017  begin with 185615696 relations and 151843008 unique ideals
Tue Sep 26 10:30:38 2017  reduce to 185463774 relations and 147290005 ideals in 6 passes
Tue Sep 26 10:30:38 2017  max relations containing the same ideal: 120
Tue Sep 26 10:32:17 2017  removing 6392588 relations and 4392588 ideals in 2000000 cliques
Tue Sep 26 10:32:19 2017  commencing in-memory singleton removal
Tue Sep 26 10:32:36 2017  begin with 179071186 relations and 147290005 unique ideals
Tue Sep 26 10:34:20 2017  reduce to 178915030 relations and 142739359 ideals in 6 passes
Tue Sep 26 10:34:20 2017  max relations containing the same ideal: 118
Tue Sep 26 10:36:06 2017  removing 6388121 relations and 4388121 ideals in 2000000 cliques
Tue Sep 26 10:36:09 2017  commencing in-memory singleton removal
Tue Sep 26 10:36:25 2017  begin with 172526909 relations and 142739359 unique ideals
Tue Sep 26 10:38:11 2017  reduce to 172366297 relations and 138188521 ideals in 6 passes
Tue Sep 26 10:38:11 2017  max relations containing the same ideal: 116
Tue Sep 26 10:40:18 2017  removing 6385787 relations and 4385787 ideals in 2000000 cliques
Tue Sep 26 10:40:22 2017  commencing in-memory singleton removal
Tue Sep 26 10:40:47 2017  begin with 165980510 relations and 138188521 unique ideals
Tue Sep 26 10:44:01 2017  reduce to 165816904 relations and 133636989 ideals in 6 passes
Tue Sep 26 10:44:01 2017  max relations containing the same ideal: 115
Tue Sep 26 10:46:15 2017  removing 6390857 relations and 4390857 ideals in 2000000 cliques
Tue Sep 26 10:46:19 2017  commencing in-memory singleton removal
Tue Sep 26 10:46:40 2017  begin with 159426047 relations and 133636989 unique ideals
Tue Sep 26 10:49:44 2017  reduce to 159256724 relations and 129074490 ideals in 6 passes
Tue Sep 26 10:49:44 2017  max relations containing the same ideal: 107
Tue Sep 26 10:51:52 2017  removing 6389493 relations and 4389493 ideals in 2000000 cliques
Tue Sep 26 10:51:56 2017  commencing in-memory singleton removal
Tue Sep 26 10:52:16 2017  begin with 152867231 relations and 129074490 unique ideals
Tue Sep 26 10:55:09 2017  reduce to 152691085 relations and 124506371 ideals in 6 passes
Tue Sep 26 10:55:09 2017  max relations containing the same ideal: 105
Tue Sep 26 10:56:48 2017  removing 6396195 relations and 4396195 ideals in 2000000 cliques
Tue Sep 26 10:56:50 2017  commencing in-memory singleton removal
Tue Sep 26 10:57:06 2017  begin with 146294890 relations and 124506371 unique ideals
Tue Sep 26 10:59:22 2017  reduce to 146112323 relations and 119924931 ideals in 7 passes
Tue Sep 26 10:59:22 2017  max relations containing the same ideal: 103
Tue Sep 26 11:00:44 2017  removing 6403142 relations and 4403142 ideals in 2000000 cliques
Tue Sep 26 11:00:47 2017  commencing in-memory singleton removal
Tue Sep 26 11:01:03 2017  begin with 139709181 relations and 119924931 unique ideals
Tue Sep 26 11:02:41 2017  reduce to 139520339 relations and 115330204 ideals in 6 passes
Tue Sep 26 11:02:41 2017  max relations containing the same ideal: 100
Tue Sep 26 11:04:16 2017  removing 6416952 relations and 4416952 ideals in 2000000 cliques
Tue Sep 26 11:04:19 2017  commencing in-memory singleton removal
Tue Sep 26 11:04:34 2017  begin with 133103387 relations and 115330204 unique ideals
Tue Sep 26 11:06:35 2017  reduce to 132905523 relations and 110712512 ideals in 7 passes
Tue Sep 26 11:06:35 2017  max relations containing the same ideal: 96
Tue Sep 26 11:07:54 2017  removing 6434556 relations and 4434556 ideals in 2000000 cliques
Tue Sep 26 11:07:57 2017  commencing in-memory singleton removal
Tue Sep 26 11:08:12 2017  begin with 126470967 relations and 110712512 unique ideals
Tue Sep 26 11:09:26 2017  reduce to 126263627 relations and 106067501 ideals in 6 passes
Tue Sep 26 11:09:26 2017  max relations containing the same ideal: 94
Tue Sep 26 11:10:32 2017  removing 6455002 relations and 4455002 ideals in 2000000 cliques
Tue Sep 26 11:10:34 2017  commencing in-memory singleton removal
Tue Sep 26 11:10:44 2017  begin with 119808625 relations and 106067501 unique ideals
Tue Sep 26 11:11:47 2017  reduce to 119592284 relations and 101392664 ideals in 6 passes
Tue Sep 26 11:11:47 2017  max relations containing the same ideal: 94
Tue Sep 26 11:12:45 2017  removing 6482634 relations and 4482634 ideals in 2000000 cliques
Tue Sep 26 11:12:47 2017  commencing in-memory singleton removal
Tue Sep 26 11:12:57 2017  begin with 113109650 relations and 101392664 unique ideals
Tue Sep 26 11:14:27 2017  reduce to 112879548 relations and 96676143 ideals in 7 passes
Tue Sep 26 11:14:27 2017  max relations containing the same ideal: 89
Tue Sep 26 11:15:39 2017  removing 6510240 relations and 4510240 ideals in 2000000 cliques
Tue Sep 26 11:15:41 2017  commencing in-memory singleton removal
Tue Sep 26 11:15:53 2017  begin with 106369308 relations and 96676143 unique ideals
Tue Sep 26 11:17:10 2017  reduce to 106122744 relations and 91915221 ideals in 7 passes
Tue Sep 26 11:17:10 2017  max relations containing the same ideal: 84
Tue Sep 26 11:18:00 2017  removing 6549481 relations and 4549481 ideals in 2000000 cliques
Tue Sep 26 11:18:02 2017  commencing in-memory singleton removal
Tue Sep 26 11:18:13 2017  begin with 99573263 relations and 91915221 unique ideals
Tue Sep 26 11:19:30 2017  reduce to 99308504 relations and 87096464 ideals in 6 passes
Tue Sep 26 11:19:30 2017  max relations containing the same ideal: 79
Tue Sep 26 11:20:42 2017  removing 6602328 relations and 4602328 ideals in 2000000 cliques
Tue Sep 26 11:20:44 2017  commencing in-memory singleton removal
Tue Sep 26 11:20:54 2017  begin with 92706176 relations and 87096464 unique ideals
Tue Sep 26 11:21:59 2017  reduce to 92418909 relations and 82201495 ideals in 7 passes
Tue Sep 26 11:21:59 2017  max relations containing the same ideal: 76
Tue Sep 26 11:22:48 2017  removing 6662533 relations and 4662533 ideals in 2000000 cliques
Tue Sep 26 11:22:50 2017  commencing in-memory singleton removal
Tue Sep 26 11:22:58 2017  begin with 85756376 relations and 82201495 unique ideals
Tue Sep 26 11:23:50 2017  reduce to 85439961 relations and 77216448 ideals in 7 passes
Tue Sep 26 11:23:50 2017  max relations containing the same ideal: 73
Tue Sep 26 11:24:30 2017  removing 6743244 relations and 4743244 ideals in 2000000 cliques
Tue Sep 26 11:24:32 2017  commencing in-memory singleton removal
Tue Sep 26 11:24:39 2017  begin with 78696717 relations and 77216448 unique ideals
Tue Sep 26 11:25:32 2017  reduce to 78341550 relations and 72110609 ideals in 7 passes
Tue Sep 26 11:25:32 2017  max relations containing the same ideal: 70
Tue Sep 26 11:26:17 2017  removing 6844468 relations and 4844468 ideals in 2000000 cliques
Tue Sep 26 11:26:19 2017  commencing in-memory singleton removal
Tue Sep 26 11:26:27 2017  begin with 71497082 relations and 72110609 unique ideals
Tue Sep 26 11:27:09 2017  reduce to 71089739 relations and 66850046 ideals in 7 passes
Tue Sep 26 11:27:09 2017  max relations containing the same ideal: 64
Tue Sep 26 11:27:53 2017  removing 5150274 relations and 3762357 ideals in 1387917 cliques
Tue Sep 26 11:27:55 2017  commencing in-memory singleton removal
Tue Sep 26 11:28:01 2017  begin with 65939465 relations and 66850046 unique ideals
Tue Sep 26 11:28:48 2017  reduce to 65675342 relations and 62819197 ideals in 7 passes
Tue Sep 26 11:28:48 2017  max relations containing the same ideal: 59
Tue Sep 26 11:29:28 2017  relations with 0 large ideals: 35990
Tue Sep 26 11:29:28 2017  relations with 1 large ideals: 122380
Tue Sep 26 11:29:28 2017  relations with 2 large ideals: 1039591
Tue Sep 26 11:29:28 2017  relations with 3 large ideals: 4534221
Tue Sep 26 11:29:28 2017  relations with 4 large ideals: 11275133
Tue Sep 26 11:29:28 2017  relations with 5 large ideals: 17067919
Tue Sep 26 11:29:28 2017  relations with 6 large ideals: 16302360
Tue Sep 26 11:29:28 2017  relations with 7+ large ideals: 15297748
Tue Sep 26 11:29:28 2017  commencing 2-way merge
Tue Sep 26 11:30:24 2017  reduce to 41663683 relation sets and 38807538 unique ideals
Tue Sep 26 11:30:24 2017  commencing full merge
Tue Sep 26 11:43:32 2017  memory use: 4743.9 MB
Tue Sep 26 11:43:38 2017  found 20484715 cycles, need 20095738
Tue Sep 26 11:43:39 2017  weight of 20095738 cycles is about 2009626754 (100.00/cycle)
Tue Sep 26 11:43:39 2017  distribution of cycle lengths:
Tue Sep 26 11:43:39 2017  1 relations: 1387525
Tue Sep 26 11:43:39 2017  2 relations: 1546744
Tue Sep 26 11:43:39 2017  3 relations: 1760526
Tue Sep 26 11:43:39 2017  4 relations: 1859966
Tue Sep 26 11:43:39 2017  5 relations: 1938816
Tue Sep 26 11:43:39 2017  6 relations: 1884806
Tue Sep 26 11:43:39 2017  7 relations: 1807145
Tue Sep 26 11:43:39 2017  8 relations: 1640252
Tue Sep 26 11:43:39 2017  9 relations: 1435249
Tue Sep 26 11:43:39 2017  10+ relations: 4834709
Tue Sep 26 11:43:39 2017  heaviest cycle: 21 relations
Tue Sep 26 11:43:42 2017  commencing cycle optimization
Tue Sep 26 11:44:09 2017  start with 136228343 relations
Tue Sep 26 11:48:08 2017  pruned 5007459 relations
Tue Sep 26 11:48:08 2017  memory use: 4094.7 MB
Tue Sep 26 11:48:08 2017  distribution of cycle lengths:
Tue Sep 26 11:48:08 2017  1 relations: 1387525
Tue Sep 26 11:48:08 2017  2 relations: 1587457
Tue Sep 26 11:48:08 2017  3 relations: 1835056
Tue Sep 26 11:48:08 2017  4 relations: 1936862
Tue Sep 26 11:48:08 2017  5 relations: 2031407
Tue Sep 26 11:48:08 2017  6 relations: 1970570
Tue Sep 26 11:48:08 2017  7 relations: 1888818
Tue Sep 26 11:48:08 2017  8 relations: 1694763
Tue Sep 26 11:48:08 2017  9 relations: 1465427
Tue Sep 26 11:48:08 2017  10+ relations: 4297853
Tue Sep 26 11:48:08 2017  heaviest cycle: 20 relations
Tue Sep 26 11:48:55 2017  RelProcTime: 93899
Tue Sep 26 11:48:55 2017  
Tue Sep 26 11:48:55 2017  commencing linear algebra
Tue Sep 26 11:48:58 2017  read 20095738 cycles
Tue Sep 26 11:49:31 2017  cycles contain 64238603 unique relations
Tue Sep 26 12:32:46 2017  read 64238603 relations
Tue Sep 26 12:34:37 2017  using 20 quadratic characters above 4294917296
Tue Sep 26 12:38:53 2017  building initial matrix
Tue Sep 26 13:01:05 2017  memory use: 8591.2 MB
Tue Sep 26 13:01:22 2017  read 20095738 cycles
Tue Sep 26 13:01:28 2017  matrix is 20095552 x 20095738 (8100.5 MB) with weight 2344608905 (116.67/col)
Tue Sep 26 13:01:28 2017  sparse part has weight 1902449748 (94.67/col)
Tue Sep 26 13:07:05 2017  filtering completed in 2 passes
Tue Sep 26 13:07:11 2017  matrix is 20093144 x 20093330 (8100.3 MB) with weight 2344521911 (116.68/col)
Tue Sep 26 13:07:11 2017  sparse part has weight 1902414779 (94.68/col)
Tue Sep 26 13:08:23 2017  matrix starts at (0, 0)
Tue Sep 26 13:08:28 2017  matrix is 20093144 x 20093330 (8100.3 MB) with weight 2344521911 (116.68/col)
Tue Sep 26 13:08:28 2017  sparse part has weight 1902414779 (94.68/col)
Tue Sep 26 13:08:28 2017  saving the first 48 matrix rows for later
Tue Sep 26 13:08:34 2017  matrix includes 64 packed rows
Tue Sep 26 13:08:37 2017  matrix is 20093096 x 20093330 (7757.6 MB) with weight 1950099527 (97.05/col)
Tue Sep 26 13:08:37 2017  sparse part has weight 1832665078 (91.21/col)
Tue Sep 26 13:08:38 2017  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Tue Sep 26 13:10:25 2017  commencing Lanczos iteration (32 threads)
Tue Sep 26 13:10:25 2017  memory use: 6661.3 MB
Tue Sep 26 13:10:51 2017  linear algebra at 0.0%, ETA 91h40m
Tue Sep 26 13:11:00 2017  checkpointing every 220000 dimensions
Wed Sep 27 07:34:41 2017  lanczos halted after 34194 iterations (dim = 2162226)
Wed Sep 27 07:35:01 2017  BLanczosTime: 71166
Wed Sep 27 07:35:01 2017  
Wed Sep 27 07:35:01 2017  commencing square root phase
Wed Sep 27 07:35:01 2017  handling dependencies 1 to 64
Wed Sep 27 07:35:01 2017  reading relations for dependency 1
Wed Sep 27 07:35:01 2017  error: read_cycles can't open dependency file
Fri Sep 29 00:02:00 2017  
Fri Sep 29 00:02:00 2017  
Fri Sep 29 00:02:00 2017  Msieve v. 1.53 (SVN unknown)
Fri Sep 29 00:02:00 2017  random seeds: 123c6400 3fe0968d
Fri Sep 29 00:02:00 2017  factoring 77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (275 digits)
Fri Sep 29 00:02:02 2017  no P-1/P+1/ECM available, skipping
Fri Sep 29 00:02:02 2017  commencing number field sieve (275-digit input)
Fri Sep 29 00:02:02 2017  R0: -10000000000000000000000000000000000000000000000
Fri Sep 29 00:02:02 2017  R1: 1
Fri Sep 29 00:02:02 2017  A0: -70
Fri Sep 29 00:02:02 2017  A1: 0
Fri Sep 29 00:02:02 2017  A2: 0
Fri Sep 29 00:02:02 2017  A3: -27
Fri Sep 29 00:02:02 2017  A4: 0
Fri Sep 29 00:02:02 2017  A5: 0
Fri Sep 29 00:02:02 2017  A6: 7
Fri Sep 29 00:02:02 2017  skew 1.47, size 1.306e-013, alpha 0.146, combined = 2.466e-014 rroots = 2
Fri Sep 29 00:02:02 2017  
Fri Sep 29 00:02:02 2017  commencing linear algebra
Fri Sep 29 00:03:28 2017  matrix starts at (0, 0)
Fri Sep 29 00:03:35 2017  matrix is 20093144 x 20093330 (8100.3 MB) with weight 2344521911 (116.68/col)
Fri Sep 29 00:03:35 2017  sparse part has weight 1902414779 (94.68/col)
Fri Sep 29 00:03:35 2017  saving the first 48 matrix rows for later
Fri Sep 29 00:03:45 2017  matrix includes 64 packed rows
Fri Sep 29 00:03:50 2017  matrix is 20093096 x 20093330 (7757.6 MB) with weight 1950099527 (97.05/col)
Fri Sep 29 00:03:50 2017  sparse part has weight 1832665078 (91.21/col)
Fri Sep 29 00:03:50 2017  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Fri Sep 29 00:06:38 2017  commencing Lanczos iteration (32 threads)
Fri Sep 29 00:06:38 2017  memory use: 6661.3 MB
Fri Sep 29 00:06:43 2017  restarting at iteration 34194 (dim = 2162226)
Fri Sep 29 00:07:38 2017  linear algebra at 10.8%, ETA 180h34m
Fri Sep 29 00:07:49 2017  checkpointing every 110000 dimensions
Fri Sep 29 13:40:48 2017  lanczos halted after 35696 iterations (dim = 2257227)
Fri Sep 29 13:41:23 2017  BLanczosTime: 49161
Fri Sep 29 13:41:23 2017  elapsed time 13:39:23
Sun Oct 01 00:26:47 2017  
Sun Oct 01 00:26:47 2017  
Sun Oct 01 00:26:47 2017  Msieve v. 1.53 (SVN unknown)
Sun Oct 01 00:26:47 2017  random seeds: e81b6b20 7deff1b0
Sun Oct 01 00:26:47 2017  factoring 77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (275 digits)
Sun Oct 01 00:26:49 2017  no P-1/P+1/ECM available, skipping
Sun Oct 01 00:26:49 2017  commencing number field sieve (275-digit input)
Sun Oct 01 00:26:49 2017  R0: -10000000000000000000000000000000000000000000000
Sun Oct 01 00:26:49 2017  R1: 1
Sun Oct 01 00:26:49 2017  A0: -70
Sun Oct 01 00:26:49 2017  A1: 0
Sun Oct 01 00:26:49 2017  A2: 0
Sun Oct 01 00:26:49 2017  A3: -27
Sun Oct 01 00:26:49 2017  A4: 0
Sun Oct 01 00:26:49 2017  A5: 0
Sun Oct 01 00:26:49 2017  A6: 7
Sun Oct 01 00:26:49 2017  skew 1.47, size 1.306e-013, alpha 0.146, combined = 2.466e-014 rroots = 2
Sun Oct 01 00:26:49 2017  
Sun Oct 01 00:26:49 2017  commencing linear algebra
Sun Oct 01 00:28:26 2017  matrix starts at (0, 0)
Sun Oct 01 00:28:32 2017  matrix is 20093144 x 20093330 (8100.3 MB) with weight 2344521911 (116.68/col)
Sun Oct 01 00:28:32 2017  sparse part has weight 1902414779 (94.68/col)
Sun Oct 01 00:28:32 2017  saving the first 48 matrix rows for later
Sun Oct 01 00:28:39 2017  matrix includes 64 packed rows
Sun Oct 01 00:28:42 2017  matrix is 20093096 x 20093330 (7757.6 MB) with weight 1950099527 (97.05/col)
Sun Oct 01 00:28:42 2017  sparse part has weight 1832665078 (91.21/col)
Sun Oct 01 00:28:42 2017  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Sun Oct 01 00:31:00 2017  commencing Lanczos iteration (32 threads)
Sun Oct 01 00:31:00 2017  memory use: 6661.3 MB
Sun Oct 01 00:31:05 2017  restarting at iteration 35696 (dim = 2257227)
Sun Oct 01 00:31:30 2017  checkpointing every 120000 dimensions
Sun Oct 01 00:31:50 2017  linear algebra at 11.2%, ETA 146h51m
Fri Oct 06 04:01:13 2017  lanczos halted after 317752 iterations (dim = 20093094)
Fri Oct 06 04:01:53 2017  recovered 32 nontrivial dependencies
Fri Oct 06 04:02:16 2017  BLanczosTime: 444927
Fri Oct 06 04:02:16 2017  elapsed time 123:35:29
Fri Oct 06 04:17:36 2017  
Fri Oct 06 04:17:36 2017  
Fri Oct 06 04:17:36 2017  Msieve v. 1.53 (SVN unknown)
Fri Oct 06 04:17:36 2017  random seeds: dfa29b48 57d74071
Fri Oct 06 04:17:36 2017  factoring 77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (275 digits)
Fri Oct 06 04:17:38 2017  no P-1/P+1/ECM available, skipping
Fri Oct 06 04:17:38 2017  commencing number field sieve (275-digit input)
Fri Oct 06 04:17:38 2017  R0: -10000000000000000000000000000000000000000000000
Fri Oct 06 04:17:38 2017  R1: 1
Fri Oct 06 04:17:38 2017  A0: -70
Fri Oct 06 04:17:38 2017  A1: 0
Fri Oct 06 04:17:38 2017  A2: 0
Fri Oct 06 04:17:38 2017  A3: -27
Fri Oct 06 04:17:38 2017  A4: 0
Fri Oct 06 04:17:38 2017  A5: 0
Fri Oct 06 04:17:38 2017  A6: 7
Fri Oct 06 04:17:38 2017  skew 1.47, size 1.306e-013, alpha 0.146, combined = 2.466e-014 rroots = 2
Fri Oct 06 04:17:38 2017  
Fri Oct 06 04:17:38 2017  commencing square root phase
Fri Oct 06 04:17:38 2017  handling dependencies 1 to 3
Fri Oct 06 04:17:38 2017  reading relations for dependency 1
Fri Oct 06 04:17:43 2017  read 10048015 cycles
Fri Oct 06 04:18:03 2017  cycles contain 32119888 unique relations
Fri Oct 06 04:28:13 2017  read 32119888 relations
Fri Oct 06 04:31:54 2017  multiplying 32119888 relations
Fri Oct 06 04:57:23 2017  multiply complete, coefficients have about 964.60 million bits
Fri Oct 06 04:57:29 2017  initial square root is modulo 450664351
Fri Oct 06 05:27:58 2017  found factor: 5728683950135865775006065633318050252133684586325264559163920687049979848681
Fri Oct 06 05:27:58 2017  reading relations for dependency 2
Fri Oct 06 05:28:01 2017  read 10050050 cycles
Fri Oct 06 05:28:20 2017  cycles contain 32126208 unique relations
Fri Oct 06 05:34:27 2017  read 32126208 relations
Fri Oct 06 05:37:47 2017  multiplying 32126208 relations
Fri Oct 06 06:03:21 2017  multiply complete, coefficients have about 964.77 million bits
Fri Oct 06 06:03:27 2017  initial square root is modulo 452301607
Fri Oct 06 06:34:32 2017  sqrtTime: 8214
Fri Oct 06 06:34:32 2017  prp65 factor: 17783338749850324659530314136241093884108150617292028363225235667
Fri Oct 06 06:34:32 2017  prp76 factor: 5728683950135865775006065633318050252133684586325264559163920687049979848681
Fri Oct 06 06:34:32 2017  prp135 factor: 763461895532050887992545993448482577644898158920854775602388946990861331327618306319459621652895968318115872306986512963787257899825651
Fri Oct 06 06:34:32 2017  elapsed time 02:16:56

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61022118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
904Wataru SakaiJune 29, 2012 08:20:03 UTC 2012 年 6 月 29 日 (金) 17 時 20 分 3 秒 (日本時間)
403e633501000Dmitry DomanovJune 29, 2012 16:45:22 UTC 2012 年 6 月 30 日 (土) 1 時 45 分 22 秒 (日本時間)
2350Wataru SakaiJuly 1, 2012 02:04:15 UTC 2012 年 7 月 1 日 (日) 11 時 4 分 15 秒 (日本時間)
4511e62000Dmitry DomanovJuly 3, 2012 07:09:11 UTC 2012 年 7 月 3 日 (火) 16 時 9 分 11 秒 (日本時間)
5043e62960560Dmitry DomanovJuly 3, 2012 21:41:01 UTC 2012 年 7 月 4 日 (水) 6 時 41 分 1 秒 (日本時間)
2400Dmitry DomanovAugust 18, 2012 20:48:05 UTC 2012 年 8 月 19 日 (日) 5 時 48 分 5 秒 (日本時間)
5511e72670 / 16561yoyo@homeOctober 5, 2012 08:35:24 UTC 2012 年 10 月 5 日 (金) 17 時 35 分 24 秒 (日本時間)

7×10277-27×10138-79

c268

name 名前Dmitry Domanov
date 日付June 30, 2012 23:42:58 UTC 2012 年 7 月 1 日 (日) 8 時 42 分 58 秒 (日本時間)
composite number 合成数
7972805851741904505280317617304610903434496158513128183450899491278505024268223842484757308731233553064671277648041034887279584178165013948034878594123380503836638836372557755290617827556009336684591109420024319287955506767405250874284478303602353631103961950774522843<268>
prime factors 素因数
445121145430656785329870574951373871<36>
17911541461433331007442361143392296680748362122754211135092050616673695177859514119947597278574929081961237161468838884218455989453977711527202371158993376244746164630711419967220516583936132911731639655267736801314215638168075738133<233>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=185418682
Step 1 took 39785ms
Step 2 took 13897ms
********** Factor found in step 2: 445121145430656785329870574951373871
Found probable prime factor of 36 digits: 445121145430656785329870574951373871

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2318Dmitry DomanovJune 29, 2012 16:45:38 UTC 2012 年 6 月 30 日 (土) 1 時 45 分 38 秒 (日本時間)

7×10279-27×10139-79

c267

composite cofactor 合成数の残り
141145382170617657726947757102024200651362405261507693781680979351634615389813805878122162094186464080982179585536550680914569689536753490649979599429882471582096579092861449951316984951764617489127244341527521147401418284535389666925760687042322975986524817074508493<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 29, 2012 16:45:51 UTC 2012 年 6 月 30 日 (土) 1 時 45 分 51 秒 (日本時間)
4511e61000Dmitry DomanovJuly 3, 2012 21:38:12 UTC 2012 年 7 月 4 日 (水) 6 時 38 分 12 秒 (日本時間)
5043e61000500Dmitry DomanovJuly 6, 2012 22:21:57 UTC 2012 年 7 月 7 日 (土) 7 時 21 分 57 秒 (日本時間)
500Dmitry DomanovJuly 9, 2012 20:46:25 UTC 2012 年 7 月 10 日 (火) 5 時 46 分 25 秒 (日本時間)
5511e72620 / 17342yoyo@homeOctober 5, 2012 11:00:36 UTC 2012 年 10 月 5 日 (金) 20 時 0 分 36 秒 (日本時間)

7×10281-27×10140-79

c240

composite cofactor 合成数の残り
176688368933008198847296807283409036550296027030432173196972105827573044073222781272992148959861809160190155047405050262906451592526715064658190412232744390318383310617903780559777996097452600579752962161538646092987515240120405690427567417<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 29, 2012 16:46:08 UTC 2012 年 6 月 30 日 (土) 1 時 46 分 8 秒 (日本時間)
4511e61000Dmitry DomanovJuly 3, 2012 21:38:51 UTC 2012 年 7 月 4 日 (水) 6 時 38 分 51 秒 (日本時間)
5043e6840400Dmitry DomanovJuly 9, 2012 20:47:11 UTC 2012 年 7 月 10 日 (火) 5 時 47 分 11 秒 (日本時間)
440Dmitry DomanovJuly 14, 2012 20:08:09 UTC 2012 年 7 月 15 日 (日) 5 時 8 分 9 秒 (日本時間)
5511e72740 / 1739950Dmitry DomanovJuly 16, 2012 09:50:58 UTC 2012 年 7 月 16 日 (月) 18 時 50 分 58 秒 (日本時間)
2690yoyo@homeApril 22, 2013 15:00:17 UTC 2013 年 4 月 23 日 (火) 0 時 0 分 17 秒 (日本時間)

7×10283-27×10141-79

c260

composite cofactor 合成数の残り
74013042967097512966750440055169253406077653679290377233797024698925391848130371365017482791809598176557985942840594430799054560854367728644171177660023511504512521756123233006249560124345852589810902200168303361909528417856958528987905323298748277603008698869<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 29, 2012 16:46:22 UTC 2012 年 6 月 30 日 (土) 1 時 46 分 22 秒 (日本時間)
4511e61000Dmitry DomanovJuly 3, 2012 21:36:56 UTC 2012 年 7 月 4 日 (水) 6 時 36 分 56 秒 (日本時間)
5043e6900500Dmitry DomanovJuly 6, 2012 22:21:37 UTC 2012 年 7 月 7 日 (土) 7 時 21 分 37 秒 (日本時間)
400Dmitry DomanovJuly 14, 2012 20:08:53 UTC 2012 年 7 月 15 日 (日) 5 時 8 分 53 秒 (日本時間)
5511e72690 / 1737825Dmitry DomanovJuly 16, 2012 09:51:53 UTC 2012 年 7 月 16 日 (月) 18 時 51 分 53 秒 (日本時間)
2665yoyo@homeOctober 5, 2012 15:05:41 UTC 2012 年 10 月 6 日 (土) 0 時 5 分 41 秒 (日本時間)

7×10285-27×10142-79

c248

composite cofactor 合成数の残り
16030319317692790730839786433377729086806744608006902524790926299020143677231201134505818705445127414771204657833095164313816034134452195445403871443979070336503465601173828217136100021511854386789278962448875137240738821726653464577271534004328143<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 29, 2012 16:46:35 UTC 2012 年 6 月 30 日 (土) 1 時 46 分 35 秒 (日本時間)
4511e61000Dmitry DomanovJuly 2, 2012 22:32:40 UTC 2012 年 7 月 3 日 (火) 7 時 32 分 40 秒 (日本時間)
5043e6800400Dmitry DomanovJuly 9, 2012 20:50:42 UTC 2012 年 7 月 10 日 (火) 5 時 50 分 42 秒 (日本時間)
400Dmitry DomanovJuly 15, 2012 20:11:24 UTC 2012 年 7 月 16 日 (月) 5 時 11 分 24 秒 (日本時間)
5511e72765 / 1741160Dmitry DomanovJuly 16, 2012 09:52:35 UTC 2012 年 7 月 16 日 (月) 18 時 52 分 35 秒 (日本時間)
2705yoyo@homeApril 22, 2013 18:17:35 UTC 2013 年 4 月 23 日 (火) 3 時 17 分 35 秒 (日本時間)
6026e71 / 40862Dmitry DomanovJuly 16, 2012 09:52:44 UTC 2012 年 7 月 16 日 (月) 18 時 52 分 44 秒 (日本時間)

7×10287-27×10143-79

c278

composite cofactor 合成数の残り
12765188856029088042994739242299861416388482669897446828637445607230986371342166788693729763413009803680377892950931967165678908726102334142094309038269881421578318640226484110769342527870041202849089278496155293334399185024768059690179482591486125413481729685211931048983461051<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 29, 2012 16:46:48 UTC 2012 年 6 月 30 日 (土) 1 時 46 分 48 秒 (日本時間)
4511e61600Dmitry DomanovJuly 2, 2012 22:32:06 UTC 2012 年 7 月 3 日 (火) 7 時 32 分 6 秒 (日本時間)
5043e6820500Dmitry DomanovJuly 6, 2012 22:21:21 UTC 2012 年 7 月 7 日 (土) 7 時 21 分 21 秒 (日本時間)
320Dmitry DomanovJuly 15, 2012 20:10:44 UTC 2012 年 7 月 16 日 (月) 5 時 10 分 44 秒 (日本時間)
5511e72640 / 17369yoyo@homeOctober 12, 2012 08:15:37 UTC 2012 年 10 月 12 日 (金) 17 時 15 分 37 秒 (日本時間)

7×10289-27×10144-79

c237

name 名前Dmitry Domanov
date 日付July 3, 2012 06:16:40 UTC 2012 年 7 月 3 日 (火) 15 時 16 分 40 秒 (日本時間)
composite number 合成数
116486408806575155849693226284589745920890959709175235410490774504258895273777102337114485300659376148389745723433628315632942417711269478323113141335772183306207624428449314358387394971582299977071409588465847148383489516669690670202727<237>
prime factors 素因数
333273063196556690120685132263572560367693<42>
composite cofactor 合成数の残り
349522423712576450025874212224336766618334008675951131596891769868461378854049801914118176841506328211930707305160194874265194445346844218645182886759933303005528508896394664656259196811596023939<195>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1337472875
Step 1 took 130872ms
********** Factor found in step 1: 333273063196556690120685132263572560367693
Found probable prime factor of 42 digits: 333273063196556690120685132263572560367693

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 29, 2012 16:47:05 UTC 2012 年 6 月 30 日 (土) 1 時 47 分 5 秒 (日本時間)
4511e61000Dmitry DomanovJuly 2, 2012 22:31:11 UTC 2012 年 7 月 3 日 (火) 7 時 31 分 11 秒 (日本時間)
5043e6960560Dmitry DomanovJuly 9, 2012 20:53:31 UTC 2012 年 7 月 10 日 (火) 5 時 53 分 31 秒 (日本時間)
400Dmitry DomanovJuly 14, 2012 20:09:48 UTC 2012 年 7 月 15 日 (日) 5 時 9 分 48 秒 (日本時間)
5511e73026 / 17356400CypJanuary 2, 2015 12:14:34 UTC 2015 年 1 月 2 日 (金) 21 時 14 分 34 秒 (日本時間)
2626Ben MeekinsJuly 26, 2015 13:56:10 UTC 2015 年 7 月 26 日 (日) 22 時 56 分 10 秒 (日本時間)

7×10291-27×10145-79

c247

composite cofactor 合成数の残り
1173771594431945432802868001203522160034632096238480149440582987423572043777420177060872060729969219285335168501813499433734899339254072460494805253705534371285349397015585916128110569544458823408966548618013371775743161682506286388629434772298641<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 29, 2012 16:47:19 UTC 2012 年 6 月 30 日 (土) 1 時 47 分 19 秒 (日本時間)
4511e61000Dmitry DomanovJuly 2, 2012 22:30:55 UTC 2012 年 7 月 3 日 (火) 7 時 30 分 55 秒 (日本時間)
5043e6760400Dmitry DomanovJuly 9, 2012 20:54:07 UTC 2012 年 7 月 10 日 (火) 5 時 54 分 7 秒 (日本時間)
360Dmitry DomanovJuly 15, 2012 20:10:04 UTC 2012 年 7 月 16 日 (月) 5 時 10 分 4 秒 (日本時間)
5511e72800 / 1742580Dmitry DomanovJuly 16, 2012 09:53:42 UTC 2012 年 7 月 16 日 (月) 18 時 53 分 42 秒 (日本時間)
2720yoyo@homeApril 22, 2013 22:45:17 UTC 2013 年 4 月 23 日 (火) 7 時 45 分 17 秒 (日本時間)
6026e71 / 40853Dmitry DomanovJuly 16, 2012 09:53:48 UTC 2012 年 7 月 16 日 (月) 18 時 53 分 48 秒 (日本時間)

7×10293-27×10146-79

c272

composite cofactor 合成数の残り
15670330179458369177702112790339831797945732309557951051406819330501048986457061066796454843565488662510777044306743909774243311535365277610080435255302709971014153767896851029274456316476665958595423750041027747580093282769235269761490405017547722810344538847065584614127<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 29, 2012 16:47:32 UTC 2012 年 6 月 30 日 (土) 1 時 47 分 32 秒 (日本時間)
4511e61000Dmitry DomanovJuly 2, 2012 22:15:45 UTC 2012 年 7 月 3 日 (火) 7 時 15 分 45 秒 (日本時間)
5043e6860500Dmitry DomanovJuly 6, 2012 22:20:54 UTC 2012 年 7 月 7 日 (土) 7 時 20 分 54 秒 (日本時間)
360Dmitry DomanovJuly 15, 2012 20:09:22 UTC 2012 年 7 月 16 日 (月) 5 時 9 分 22 秒 (日本時間)
5511e72720 / 1739240Dmitry DomanovJuly 16, 2012 09:54:31 UTC 2012 年 7 月 16 日 (月) 18 時 54 分 31 秒 (日本時間)
2680yoyo@homeOctober 12, 2012 11:30:39 UTC 2012 年 10 月 12 日 (金) 20 時 30 分 39 秒 (日本時間)

7×10295-27×10147-79

c259

composite cofactor 合成数の残り
2923090241406749806171574773107855718848241087697634344854938167946424427572647709429802289738094160623812107187335342229390589721165911932478333634565395199875459447887649173760093704766217067044710581985615507496296164993336231399123996333510885220152065263<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 29, 2012 16:47:45 UTC 2012 年 6 月 30 日 (土) 1 時 47 分 45 秒 (日本時間)
4511e61000Dmitry DomanovJuly 2, 2012 22:15:15 UTC 2012 年 7 月 3 日 (火) 7 時 15 分 15 秒 (日本時間)
5043e6800400Dmitry DomanovJuly 9, 2012 20:54:40 UTC 2012 年 7 月 10 日 (火) 5 時 54 分 40 秒 (日本時間)
400Dmitry DomanovJuly 15, 2012 20:08:23 UTC 2012 年 7 月 16 日 (月) 5 時 8 分 23 秒 (日本時間)
5511e72745 / 1739060Dmitry DomanovJuly 16, 2012 09:55:09 UTC 2012 年 7 月 16 日 (月) 18 時 55 分 9 秒 (日本時間)
2685yoyo@homeOctober 12, 2012 14:00:18 UTC 2012 年 10 月 12 日 (金) 23 時 0 分 18 秒 (日本時間)
6026e710 / 40869Dmitry DomanovJuly 16, 2012 09:55:09 UTC 2012 年 7 月 16 日 (月) 18 時 55 分 9 秒 (日本時間)

7×10297-27×10148-79

c253

composite cofactor 合成数の残り
1889024259442873980525146300045673790153808961480792604183814772278884401053274951128258271648515959973195737763429387348968193294752805130171930194090141322410026632687414824092674215539902008303344314159455860673638395373527007108512045711463448656399<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 29, 2012 16:47:57 UTC 2012 年 6 月 30 日 (土) 1 時 47 分 57 秒 (日本時間)
4511e61000Dmitry DomanovJuly 2, 2012 22:14:39 UTC 2012 年 7 月 3 日 (火) 7 時 14 分 39 秒 (日本時間)
5043e6930500Dmitry DomanovJuly 6, 2012 22:38:16 UTC 2012 年 7 月 7 日 (土) 7 時 38 分 16 秒 (日本時間)
430Dmitry DomanovJuly 9, 2012 20:55:15 UTC 2012 年 7 月 10 日 (火) 5 時 55 分 15 秒 (日本時間)
5511e72650 / 17367yoyo@homeOctober 12, 2012 15:50:48 UTC 2012 年 10 月 13 日 (土) 0 時 50 分 48 秒 (日本時間)

7×10299-27×10149-79

c278

composite cofactor 合成数の残り
23435584152595170720378335493548243001895949358814562409955833888416226233508729494722847136772138118404120193532971241025846687703671937698703111694731119728564491366814619112913728934180781706495307130855629747633231377307981467547157980558420521000011513781729983189862812451<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 28, 2012 12:00:00 UTC 2012 年 6 月 28 日 (木) 21 時 0 分 0 秒 (日本時間)
403e62400Dmitry DomanovJune 28, 2012 22:28:16 UTC 2012 年 6 月 29 日 (金) 7 時 28 分 16 秒 (日本時間)
4511e61000Dmitry DomanovJuly 2, 2012 22:13:23 UTC 2012 年 7 月 3 日 (火) 7 時 13 分 23 秒 (日本時間)
5043e6860500Dmitry DomanovJuly 6, 2012 22:20:36 UTC 2012 年 7 月 7 日 (土) 7 時 20 分 36 秒 (日本時間)
360Dmitry DomanovJuly 14, 2012 20:07:02 UTC 2012 年 7 月 15 日 (日) 5 時 7 分 2 秒 (日本時間)
5511e72660 / 17381yoyo@homeOctober 12, 2012 19:31:08 UTC 2012 年 10 月 13 日 (土) 4 時 31 分 8 秒 (日本時間)