Table of contents 目次

7×10153-18×1076-79

c140

name 名前Sinkiti Sibata
date 日付February 12, 2011 10:31:23 UTC 2011 年 2 月 12 日 (土) 19 時 31 分 23 秒 (日本時間)
composite number 合成数
57951214860068297581026488360064292893455803837686646494184840091586497577407796629158491483722972917840693880771489095136783665376607379349<140>
prime factors 素因数
109175676960662734315996411054931028680324461590062107<54>
530807011903840028720132408859441097193053959611146909017899844417772133573463619937807<87>
factorization results 素因数分解の結果
Number: 77577_76
N=57951214860068297581026488360064292893455803837686646494184840091586497577407796629158491483722972917840693880771489095136783665376607379349
  ( 140 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=109175676960662734315996411054931028680324461590062107 (pp54)
 r2=530807011903840028720132408859441097193053959611146909017899844417772133573463619937807 (pp87)
Version: Msieve-1.40
Total time: 46.65 hours.
Scaled time: 137.21 units (timescale=2.941).
Factorization parameters were as follows:
name: 77577_76
n: 57951214860068297581026488360064292893455803837686646494184840091586497577407796629158491483722972917840693880771489095136783665376607379349
m: 10000000000000000000000000
deg: 6
c6: 7000
c3: -180
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: 2.4
Factor 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, 3600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 514825 x 515073
Total sieving time: 45.97 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.53 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: 46.65 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 9, 2011 15:00:00 UTC 2011 年 2 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)

7×10155-18×1077-79

c144

name 名前Sinkiti Sibata
date 日付February 11, 2011 21:32:10 UTC 2011 年 2 月 12 日 (土) 6 時 32 分 10 秒 (日本時間)
composite number 合成数
904609882768781009478676570468609856852188603690800629669563352475393808970950542303531018197289497621340245709993972060749988467238126991617559<144>
prime factors 素因数
10688458805695092259973187277465816994379666542183<50>
84634267597755164397901932827310276338366353346184543229132997462514433493794066867300543755473<95>
factorization results 素因数分解の結果
Number: 77577_77
N=904609882768781009478676570468609856852188603690800629669563352475393808970950542303531018197289497621340245709993972060749988467238126991617559
  ( 144 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=10688458805695092259973187277465816994379666542183 (pp50)
 r2=84634267597755164397901932827310276338366353346184543229132997462514433493794066867300543755473 (pp95)
Version: Msieve-1.40
Total time: 35.91 hours.
Scaled time: 88.51 units (timescale=2.465).
Factorization parameters were as follows:
name: 77577_77
n: 904609882768781009478676570468609856852188603690800629669563352475393808970950542303531018197289497621340245709993972060749988467238126991617559
m: 10000000000000000000000000
deg: 6
c6: 700000
c3: -1800
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: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 3000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 481521 x 481769
Total sieving time: 35.08 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.53 hours.
Time per square root: 0.20 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: 35.91 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 9, 2011 15:00:00 UTC 2011 年 2 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)

7×10157-18×1078-79

c116

name 名前Sinkiti Sibata
date 日付February 12, 2011 10:01:33 UTC 2011 年 2 月 12 日 (土) 19 時 1 分 33 秒 (日本時間)
composite number 合成数
73085255835951939302804632380918533468635064251676696060442618842521759934830930205387692140111291680724348059919701<116>
prime factors 素因数
20740166884337745833331715616203045351<38>
3523850904552913111579458825884926706870787735592671157020683342297811869226851<79>
factorization results 素因数分解の結果
Number: 77577_78
N=73085255835951939302804632380918533468635064251676696060442618842521759934830930205387692140111291680724348059919701
  ( 116 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=20740166884337745833331715616203045351 (pp38)
 r2=3523850904552913111579458825884926706870787735592671157020683342297811869226851 (pp79)
Version: Msieve-1.40
Total time: 32.33 hours.
Scaled time: 96.86 units (timescale=2.996).
Factorization parameters were as follows:
name: 77577_78
n: 73085255835951939302804632380918533468635064251676696060442618842521759934830930205387692140111291680724348059919701
m: 100000000000000000000000000
deg: 6
c6: 70
c3: -18
c0: -7
skew: 0.68
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 482161 x 482409
Total sieving time: 31.68 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.50 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,157.000,6,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 32.33 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 9, 2011 15:00:00 UTC 2011 年 2 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
403e6320 / 2318Dmitry DomanovFebruary 9, 2011 18:28:08 UTC 2011 年 2 月 10 日 (木) 3 時 28 分 8 秒 (日本時間)

7×10159-18×1079-79

c113

name 名前Dmitry Domanov
date 日付February 10, 2011 20:56:57 UTC 2011 年 2 月 11 日 (金) 5 時 56 分 57 秒 (日本時間)
composite number 合成数
70644124457499231042999786408346479990076199561034143820982927167812458661267610773588290539363354706050663950857<113>
prime factors 素因数
146334543639095909432005184271628921<36>
482757677720500852385437296890399923965936889582225068231576768733678823475217<78>
factorization results 素因数分解の結果
N=70644124457499231042999786408346479990076199561034143820982927167812458661267610773588290539363354706050663950857
  ( 113 digits)
Divisors found:
 r1=146334543639095909432005184271628921 (pp36)
 r2=482757677720500852385437296890399923965936889582225068231576768733678823475217 (pp78)
Version: Msieve-1.40
Total time: 19.24 hours.
Scaled time: 37.43 units (timescale=1.946).
Factorization parameters were as follows:
name: 113f
n: 70644124457499231042999786408346479990076199561034143820982927167812458661267610773588290539363354706050663950857
skew: 46175.63
# norm 1.69e+016
c5: 63360
c4: 9117115416
c3: -723393025833764
c2: -14622188239064208175
c1: 439177262864758889582722
c0: 5566354358876821412920209465
# alpha -7.24
Y1: 218161251289
Y0: -4068660995176767521956
# Murphy_E 7.04e-010
# M 30833765311058406847161751426893624661875712357669018438724259643377498126204969865214226628390230211668639976901
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 453099 x 453325
Polynomial selection time: 2.11 hours.
Total sieving time: 16.64 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 19.24 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 9, 2011 15:00:00 UTC 2011 年 2 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)

7×10165-18×1082-79

c163

name 名前Serge Batalov
date 日付February 9, 2011 17:52:01 UTC 2011 年 2 月 10 日 (木) 2 時 52 分 1 秒 (日本時間)
composite number 合成数
1027447526787024805518861001027447526787024805518861001027447526787024805518861001001027447526787024805518861001027447526787024805518861001027447526787024805518861<163>
prime factors 素因数
239132648400870977040542036146159<33>
4296558975354377421339145433732505663422617440574137611279496252100198516888808078603925032025627972943479587522862953198362979779<130>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3502818424
Step 1 took 3905ms
Step 2 took 2176ms
********** Factor found in step 2: 239132648400870977040542036146159
Found probable prime factor of 33 digits: 239132648400870977040542036146159
Probable prime cofactor ((10^165*7-10^82*18-7)/6813)/239132648400870977040542036146159 has 130 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 9, 2011 15:00:00 UTC 2011 年 2 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)

7×10167-18×1083-79

c141

name 名前Dmitry Domanov
date 日付February 9, 2011 19:38:15 UTC 2011 年 2 月 10 日 (木) 4 時 38 分 15 秒 (日本時間)
composite number 合成数
444736656750445746541853484609026565897137121365078711045591895832627215079686234361832941769631535649784976284436356467419073917457044565917<141>
prime factors 素因数
11568016665532128889438907526161363<35>
38445367914758951949461303398072607114636157358027933955622216575347474975185142970204162349089891939428559<107>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3697949171
Step 1 took 49188ms
Step 2 took 22105ms
********** Factor found in step 2: 11568016665532128889438907526161363
Found probable prime factor of 35 digits: 11568016665532128889438907526161363
Probable prime cofactor 38445367914758951949461303398072607114636157358027933955622216575347474975185142970204162349089891939428559 has 107 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 9, 2011 15:00:00 UTC 2011 年 2 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
403e6280 / 2318Dmitry DomanovFebruary 9, 2011 18:26:31 UTC 2011 年 2 月 10 日 (木) 3 時 26 分 31 秒 (日本時間)

7×10169-18×1084-79

c137

name 名前Sinkiti Sibata
date 日付March 26, 2011 10:24:24 UTC 2011 年 3 月 26 日 (土) 19 時 24 分 24 秒 (日本時間)
composite number 合成数
67020516353354850306988912278900730493686329779802935698114362120538251824237658383399270507324470835706159839330563572690134226373134023<137>
prime factors 素因数
2644812791914988554807014238953101036602640870259610883663251<61>
25340363052625870387807613800238565062568655849645884865652208045280745691773<77>
factorization results 素因数分解の結果
Number: 77577_84
N=67020516353354850306988912278900730493686329779802935698114362120538251824237658383399270507324470835706159839330563572690134226373134023
  ( 137 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=2644812791914988554807014238953101036602640870259610883663251 (pp61)
 r2=25340363052625870387807613800238565062568655849645884865652208045280745691773 (pp77)
Version: Msieve-1.40
Total time: 104.27 hours.
Scaled time: 228.13 units (timescale=2.188).
Factorization parameters were as follows:
name: 77577_84
n: 67020516353354850306988912278900730493686329779802935698114362120538251824237658383399270507324470835706159839330563572690134226373134023
m: 10000000000000000000000000000
deg: 6
c6: 70
c3: -18
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, 3750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 863740 x 863988
Total sieving time: 100.11 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 3.91 hours.
Time per square root: 0.13 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: 104.27 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 9, 2011 15:00:00 UTC 2011 年 2 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
403e6320 / 2318Dmitry DomanovFebruary 9, 2011 21:00:42 UTC 2011 年 2 月 10 日 (木) 6 時 0 分 42 秒 (日本時間)

7×10173-18×1086-79

c137

name 名前Markus Tervooren
date 日付October 19, 2011 17:06:12 UTC 2011 年 10 月 20 日 (木) 2 時 6 分 12 秒 (日本時間)
composite number 合成数
12220138885171350606901959951892871784945328195259609951645829797099826948088182003793625494744207699093265905833262113614592258779643751<137>
prime factors 素因数
32062004153804470326469204189719236388256522362390298842308292014567<68>
381140830328328418849387516242797243303658076437514500334503847745153<69>
factorization results 素因数分解の結果
Msieve v. 1.49 (SVN exportiert)
Wed Oct 19 17:54:53 2011
random seeds: 8dea3c4c e4ad31ae
factoring 12220138885171350606901959951892871784945328195259609951645829797099826948088182003793625494744207699093265905833262113614592258779643751 (137 digits)
searching for 15-digit factors
commencing number field sieve (137-digit input)
R0: -10000000000000000000000000000
R1:  1
A0: -7
A1:  0
A2:  0
A3: -1800
A4:  0
A5:  0
A6:  700000
skew 0.15, size 8.815e-09, alpha -2.491, combined = 6.954e-11 rroots = 2

commencing relation filtering
estimated available RAM is 16079.8 MB
commencing duplicate removal, pass 1
error -15 reading relation 4321520
error -15 reading relation 4598292
error -15 reading relation 4875278
error -15 reading relation 5151091
error -15 reading relation 5426335
error -15 reading relation 5696879
read 10M relations
error -11 reading relation 15238872
error -9 reading relation 17273542
error -11 reading relation 19072991
found 2570401 hash collisions in 19221260 relations
added 398793 free relations
commencing duplicate removal, pass 2
found 2291245 duplicates and 17328808 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 376.5 MB
reading all ideals from disk
memory use: 514.2 MB
keeping 18851862 ideals with weight <= 200, target excess is 116833
commencing in-memory singleton removal
begin with 17328808 relations and 18851862 unique ideals
reduce to 6717825 relations and 5928553 ideals in 17 passes
max relations containing the same ideal: 103
removing 1766460 relations and 1439587 ideals in 326873 cliques
commencing in-memory singleton removal
begin with 4951365 relations and 5928553 unique ideals
reduce to 4664705 relations and 4185405 ideals in 10 passes
max relations containing the same ideal: 79
removing 1312110 relations and 985237 ideals in 326873 cliques
commencing in-memory singleton removal
begin with 3352595 relations and 4185405 unique ideals
reduce to 3104852 relations and 2934772 ideals in 10 passes
max relations containing the same ideal: 61
removing 224861 relations and 190308 ideals in 34553 cliques
commencing in-memory singleton removal
begin with 2879991 relations and 2934772 unique ideals
reduce to 2869872 relations and 2734237 ideals in 6 passes
max relations containing the same ideal: 57
relations with 0 large ideals: 1626
relations with 1 large ideals: 2888
relations with 2 large ideals: 37341
relations with 3 large ideals: 194186
relations with 4 large ideals: 524561
relations with 5 large ideals: 805317
relations with 6 large ideals: 732979
relations with 7+ large ideals: 570974
commencing 2-way merge
reduce to 1763105 relation sets and 1627470 unique ideals
commencing full merge
memory use: 199.9 MB
found 901445 cycles, need 883670
weight of 883670 cycles is about 61930634 (70.08/cycle)
distribution of cycle lengths:
1 relations: 89953
2 relations: 97627
3 relations: 99903
4 relations: 93444
5 relations: 85832
6 relations: 76189
7 relations: 66571
8 relations: 57309
9 relations: 47934
10+ relations: 168908
heaviest cycle: 20 relations
commencing cycle optimization
start with 5303006 relations
pruned 138436 relations
memory use: 170.5 MB
distribution of cycle lengths:
1 relations: 89953
2 relations: 99564
3 relations: 103203
4 relations: 95847
5 relations: 88342
6 relations: 77605
7 relations: 67777
8 relations: 57793
9 relations: 47940
10+ relations: 155646
heaviest cycle: 20 relations
RelProcTime: 540

commencing linear algebra
read 883670 cycles
cycles contain 2778983 unique relations
read 2778983 relations
using 20 quadratic characters above 268434500
building initial matrix
memory use: 350.5 MB
read 883670 cycles
matrix is 883612 x 883670 (264.7 MB) with weight 80472930 (91.07/col)
sparse part has weight 59670076 (67.53/col)
filtering completed in 2 passes
matrix is 882792 x 882923 (264.6 MB) with weight 80440398 (91.11/col)
sparse part has weight 59656154 (67.57/col)
matrix starts at (0, 0)
matrix is 882792 x 882923 (264.6 MB) with weight 80440398 (91.11/col)
sparse part has weight 59656154 (67.57/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 882744 x 882923 (251.8 MB) with weight 63584093 (72.02/col)
sparse part has weight 57172394 (64.75/col)
using block size 262144 for processor cache size 6144 kB
commencing Lanczos iteration (6 threads)
memory use: 306.9 MB
linear algebra at 0.3%, ETA 0h48m882923 dimensions (0.3%, ETA 0h48m)    
linear algebra completed 882553 of 882923 dimensions (100.0%, ETA 0h 0m)    
lanczos halted after 13963 iterations (dim = 882718)
recovered 29 nontrivial dependencies
BLanczosTime: 3028

commencing square root phase
reading relations for dependency 1
read 441802 cycles
cycles contain 1389490 unique relations
read 1389490 relations
multiplying 1389490 relations
multiply complete, coefficients have about 55.12 million bits
initial square root is modulo 81847949
sqrtTime: 271
prp68 factor: 32062004153804470326469204189719236388256522362390298842308292014567
prp69 factor: 381140830328328418849387516242797243303658076437514500334503847745153
elapsed time 01:04:00

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 9, 2011 15:00:00 UTC 2011 年 2 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
403e62318320Dmitry DomanovFebruary 9, 2011 21:01:55 UTC 2011 年 2 月 10 日 (木) 6 時 1 分 55 秒 (日本時間)
1998Wataru SakaiApril 18, 2011 07:37:32 UTC 2011 年 4 月 18 日 (月) 16 時 37 分 32 秒 (日本時間)

7×10175-18×1087-79

c97

name 名前Dmitry Domanov
date 日付February 9, 2011 19:36:49 UTC 2011 年 2 月 10 日 (木) 4 時 36 分 49 秒 (日本時間)
composite number 合成数
1856184594135976179196846619717253658441269547799395560132522044286654470528077495404645307441447<97>
prime factors 素因数
736552440004528499465668441171438750087<39>
2520098357320714211648376114371812769278864125472497341281<58>
factorization results 素因数分解の結果
N=1856184594135976179196846619717253658441269547799395560132522044286654470528077495404645307441447
  ( 97 digits)
Divisors found:
 r1=736552440004528499465668441171438750087 (pp39)
 r2=2520098357320714211648376114371812769278864125472497341281 (pp58)
Version: Msieve v. 1.47
Total time: 0.30 hours.
Scaled time: 0.46 units (timescale=1.538).
Factorization parameters were as follows:
name: 97
n:  1856184594135976179196846619717253658441269547799395560132522044286654470528077495404645307441447
m:  10419920515721444930717
deg: 4
c4: 157457568
c3: -64978426694
c2: -960040199553397558
c1: 1222055828897926674
c0: 1378661254026578270154945
skew: 1635.250
type: gnfs
# adj. I(F,S) = 54.672
# E(F1,F2) = 2.539167e-05
# GGNFS version 0.77.1-20060513-nocona polyselect.
# Options were:
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1297274512.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 2040001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 160695 x 160920
Polynomial selection time: 0.17 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,96,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 0.30 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 9, 2011 15:00:00 UTC 2011 年 2 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)

7×10181-18×1090-79

c155

name 名前Serge Batalov
date 日付February 9, 2011 18:20:38 UTC 2011 年 2 月 10 日 (木) 3 時 20 分 38 秒 (日本時間)
composite number 合成数
20260435643598814323340831444652402372400027267665785028247331184397002106689202920633826022920185170778109640738948914556684298755627565602747511733725587<155>
prime factors 素因数
12276104871012251465342130525217<32>
1650396103363378847489131044973853736332007922171826612604807929484635130502434636290157877979933173583296943762262968354611<124>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=1371574917
Step 1 took 5467ms
Step 2 took 3764ms
********** Factor found in step 2: 12276104871012251465342130525217
Found probable prime factor of 32 digits: 12276104871012251465342130525217
Probable prime cofactor 1650396103363378847489131044973853736332007922171826612604807929484635130502434636290157877979933173583296943762262968354611 has 124 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 9, 2011 15:00:00 UTC 2011 年 2 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)

7×10187-18×1093-79

c187

name 名前Robert Backstrom
date 日付February 10, 2011 12:00:38 UTC 2011 年 2 月 10 日 (木) 21 時 0 分 38 秒 (日本時間)
composite number 合成数
7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777775777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<187>
prime factors 素因数
1293522756995720816564602491978997805189830830264184295379328736337533<70>
6012865050663741766935035576949502728047778898867929764946741465928976131662651136973092902784709755212981766002136069<118>
factorization results 素因数分解の結果
Number: n
N=7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777775777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
  ( 187 digits)
SNFS difficulty: 187 digits.
Divisors found:

Thu Feb 10 22:38:58 2011  prp70 factor: 1293522756995720816564602491978997805189830830264184295379328736337533
Thu Feb 10 22:38:58 2011  prp118 factor: 6012865050663741766935035576949502728047778898867929764946741465928976131662651136973092902784709755212981766002136069
Thu Feb 10 22:38:58 2011  elapsed time 01:45:54 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.082).
Factorization parameters were as follows:
name: KA_7_93_5_7_93
n: 7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777775777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
m: 10000000000000000000000000000000
#  Diff: 187.85
deg: 6
c6: 70
c3: -18
c0: -7
skew: 0.68
type: snfs
lss: 1
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9500000/9500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 9150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3104642 hash collisions in 26586491 relations
Msieve: matrix is 1155243 x 1155468 (328.2 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,187,6,0,0,0,0,0,0,0,0,9500000,9500000,28,28,54,54,2.5,2.5,100000
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.. 5659.83 BogoMIPS (lpj=2829919)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830456)
Total of 4 processors activated (22642.56 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 9, 2011 15:00:00 UTC 2011 年 2 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
403e62318Serge BatalovFebruary 9, 2011 17:54:02 UTC 2011 年 2 月 10 日 (木) 2 時 54 分 2 秒 (日本時間)
4511e61400 / 3963Serge BatalovFebruary 9, 2011 17:54:02 UTC 2011 年 2 月 10 日 (木) 2 時 54 分 2 秒 (日本時間)

7×10189-18×1094-79

c162

name 名前Jo Yeong Uk
date 日付July 1, 2012 04:43:43 UTC 2012 年 7 月 1 日 (日) 13 時 43 分 43 秒 (日本時間)
composite number 合成数
162736331548930412719992191488682880773574855899863663374043489708468819785516265988881268723250894142769363881987151005725436518973049162804002079513875240320539<162>
prime factors 素因数
278418692166921387231896533820836352972944606390973411<54>
584502176496700510966771270278725180326884837608110552344760428040940899202607628489602533545322242478969449<108>
factorization results 素因数分解の結果
Number: 77577_94
N=162736331548930412719992191488682880773574855899863663374043489708468819785516265988881268723250894142769363881987151005725436518973049162804002079513875240320539
  ( 162 digits)
SNFS difficulty: 189 digits.
Divisors found:
 r1=278418692166921387231896533820836352972944606390973411
 r2=584502176496700510966771270278725180326884837608110552344760428040940899202607628489602533545322242478969449
Version: 
Total time: 234.92 hours.
Scaled time: 860.28 units (timescale=3.662).
Factorization parameters were as follows:
n: 162736331548930412719992191488682880773574855899863663374043489708468819785516265988881268723250894142769363881987151005725436518973049162804002079513875240320539
m: 10000000000000000000000000000000
deg: 6
c6: 7000
c3: -180
c0: -7
skew: 0.32
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [6000000, 14100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 22062321
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2129091 x 2129338
Total sieving time: 220.40 hours.
Total relation processing time: 3.83 hours.
Matrix solve time: 10.10 hours.
Time per square root: 0.59 hours.
Prototype def-par.txt line would be:
snfs,189,6,0,0,0,0,0,0,0,0,12000000,12000000,28,28,54,54,2.5,2.5,100000
total time: 234.92 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 9, 2011 15:00:00 UTC 2011 年 2 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosFebruary 14, 2011 16:30:52 UTC 2011 年 2 月 15 日 (火) 1 時 30 分 52 秒 (日本時間)
403e6110Ignacio SantosFebruary 14, 2011 16:30:52 UTC 2011 年 2 月 15 日 (火) 1 時 30 分 52 秒 (日本時間)
4511e6632 / 163032Ignacio SantosFebruary 14, 2011 16:30:52 UTC 2011 年 2 月 15 日 (火) 1 時 30 分 52 秒 (日本時間)
600Dmitry DomanovDecember 28, 2011 20:08:30 UTC 2011 年 12 月 29 日 (木) 5 時 8 分 30 秒 (日本時間)
5043e6800 / 7405500Dmitry DomanovMarch 31, 2012 09:52:54 UTC 2012 年 3 月 31 日 (土) 18 時 52 分 54 秒 (日本時間)
300Dmitry DomanovApril 13, 2012 21:26:27 UTC 2012 年 4 月 14 日 (土) 6 時 26 分 27 秒 (日本時間)

7×10191-18×1095-79

c191

name 名前Robert Backstrom
date 日付February 10, 2011 06:21:14 UTC 2011 年 2 月 10 日 (木) 15 時 21 分 14 秒 (日本時間)
composite number 合成数
25925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925859259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259<191>
prime factors 素因数
2331468026116296597859480233378779933278982780758649621531571148146714343<73>
11120000632868515128471270971198679162562934999274844579739153663110014336438805823370502108359647209644552403875969613<119>
factorization results 素因数分解の結果
Number: n
N=25925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925859259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259
  ( 191 digits)
SNFS difficulty: 191 digits.
Divisors found:

Thu Feb 10 17:09:09 2011  prp73 factor: 2331468026116296597859480233378779933278982780758649621531571148146714343
Thu Feb 10 17:09:09 2011  prp119 factor: 11120000632868515128471270971198679162562934999274844579739153663110014336438805823370502108359647209644552403875969613
Thu Feb 10 17:09:09 2011  elapsed time 03:41:04 (Msieve 1.44 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.091).
Factorization parameters were as follows:
name: KA_7_95_5_7_95
n: 25925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925859259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259
m: 10000000000000000000000000000000
#  Diff: 191.85
deg: 6
c6: 700000
c3: -1800
c0: -7
skew: 0.15
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 14000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3201678 hash collisions in 24879762 relations
Msieve: matrix is 1494865 x 1495090 (426.2 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,191,6,0,0,0,0,0,0,0,0,11000000,11000000,28,28,54,54,2.5,2.5,100000
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.. 5659.83 BogoMIPS (lpj=2829919)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830456)
Total of 4 processors activated (22642.56 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 9, 2011 15:00:00 UTC 2011 年 2 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
403e60--
4511e61400 / 4475Serge BatalovFebruary 9, 2011 17:53:39 UTC 2011 年 2 月 10 日 (木) 2 時 53 分 39 秒 (日本時間)

7×10197-18×1098-79

c186

name 名前Serge Batalov
date 日付February 9, 2011 18:53:30 UTC 2011 年 2 月 10 日 (木) 3 時 53 分 30 秒 (日本時間)
composite number 合成数
227818362527437811293280340314181529981898368988235297121832286712235899066273518900682329448020891659513671910203176705696490254070993688600225507068367172341867979972014813612346407179<186>
prime factors 素因数
54643800197727005850575110478101<32>
composite cofactor 合成数の残り
4169152981730474002223788253902664424355273264730050774506828101167339489570380620778794590539320896388837830512750828914505473568717348193715018465317279<154>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=1186843353
Step 1 took 6026ms
Step 2 took 4388ms
********** Factor found in step 2: 54643800197727005850575110478101
Found probable prime factor of 32 digits: 54643800197727005850575110478101
Composite cofactor 4169152981730474002223788253902664424355273264730050774506828101167339489570380620778794590539320896388837830512750828914505473568717348193715018465317279 has 154 digits

c154

name 名前Jo Yeong Uk
date 日付September 7, 2012 11:41:14 UTC 2012 年 9 月 7 日 (金) 20 時 41 分 14 秒 (日本時間)
composite number 合成数
4169152981730474002223788253902664424355273264730050774506828101167339489570380620778794590539320896388837830512750828914505473568717348193715018465317279<154>
prime factors 素因数
8534072465010986944803291588677864070408649863633450214905482791<64>
488530300020730670791500597641418019112472971429158182486102068647624884918613081926861769<90>
factorization results 素因数分解の結果
Number: 77577_98
N=4169152981730474002223788253902664424355273264730050774506828101167339489570380620778794590539320896388837830512750828914505473568717348193715018465317279
  ( 154 digits)
SNFS difficulty: 198 digits.
Divisors found:
 r1=8534072465010986944803291588677864070408649863633450214905482791
 r2=488530300020730670791500597641418019112472971429158182486102068647624884918613081926861769
Version: 
Total time: 209.67 hours.
Scaled time: 770.32 units (timescale=3.674).
Factorization parameters were as follows:
n: 4169152981730474002223788253902664424355273264730050774506828101167339489570380620778794590539320896388837830512750828914505473568717348193715018465317279
m: 1000000000000000000000000000000000
deg: 6
c6: 7
c3: -18
c0: -70
skew: 1.47
# Murphy_E = 1.792e-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, 14300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 33298194
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2627764 x 2628012
Total sieving time: 188.84 hours.
Total relation processing time: 3.90 hours.
Matrix solve time: 16.35 hours.
Time per square root: 0.58 hours.
Prototype def-par.txt line would be:
snfs,198,6,0,0,0,0,0,0,0,0,16000000,16000000,29,29,55,55,2.5,2.5,100000
total time: 209.67 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz stepping 02
Memory: 36991616k/38797312k available (5152k kernel code, 1057684k absent, 748012k reserved, 7166k data, 1260k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6667.05 BogoMIPS (lpj=3333525)
Total of 12 processors activated (80004.60 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
351e6418118Makoto KamadaFebruary 9, 2011 15:00:00 UTC 2011 年 2 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosFebruary 14, 2011 18:10:13 UTC 2011 年 2 月 15 日 (火) 3 時 10 分 13 秒 (日本時間)
403e6110Ignacio SantosFebruary 14, 2011 18:10:13 UTC 2011 年 2 月 15 日 (火) 3 時 10 分 13 秒 (日本時間)
4511e6163032Ignacio SantosFebruary 14, 2011 18:10:13 UTC 2011 年 2 月 15 日 (火) 3 時 10 分 13 秒 (日本時間)
600Dmitry DomanovDecember 28, 2011 20:07:44 UTC 2011 年 12 月 29 日 (木) 5 時 7 分 44 秒 (日本時間)
998Jo Yeong UkAugust 27, 2012 11:29:06 UTC 2012 年 8 月 27 日 (月) 20 時 29 分 6 秒 (日本時間)
5043e6800 / 7181500Dmitry DomanovMarch 31, 2012 09:53:35 UTC 2012 年 3 月 31 日 (土) 18 時 53 分 35 秒 (日本時間)
300Dmitry DomanovApril 13, 2012 21:26:40 UTC 2012 年 4 月 14 日 (土) 6 時 26 分 40 秒 (日本時間)

7×10199-18×1099-79

c172

name 名前Jo Yeong Uk
date 日付October 4, 2012 11:37:31 UTC 2012 年 10 月 4 日 (木) 20 時 37 分 31 秒 (日本時間)
composite number 合成数
2461340899108402788826963282754026855214420895859420256993478972734367386940701587568385608906547512706015156943725925828079576009135083445934491525469556085358447465572029<172>
prime factors 素因数
951465381190457140966053081333402926548707491128068349953355322633196184387<75>
2586894854785799285748965040510379752149977159605815352328738270938809731175622655821099764346367<97>
factorization results 素因数分解の結果
Number: 77577_99
N=2461340899108402788826963282754026855214420895859420256993478972734367386940701587568385608906547512706015156943725925828079576009135083445934491525469556085358447465572029
  ( 172 digits)
SNFS difficulty: 199 digits.
Divisors found:
 r1=951465381190457140966053081333402926548707491128068349953355322633196184387
 r2=2586894854785799285748965040510379752149977159605815352328738270938809731175622655821099764346367
Version: 
Total time: 238.71 hours.
Scaled time: 855.52 units (timescale=3.584).
Factorization parameters were as follows:
n: 2461340899108402788826963282754026855214420895859420256993478972734367386940701587568385608906547512706015156943725925828079576009135083445934491525469556085358447465572029
m: 1000000000000000000000000000000000
deg: 6
c6: 70
c3: -18
c0: -7
skew: 0.68
# Murphy_E = 1.662e-11
type: snfs
lss: 1
rlim: 17000000
alim: 17000000
lpbr: 29
lpba: 29
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 17000000/17000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 55/55
Sieved rational special-q in [8500000, 15700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 33980880
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2719991 x 2720238
Total sieving time: 215.52 hours.
Total relation processing time: 4.50 hours.
Matrix solve time: 18.06 hours.
Time per square root: 0.63 hours.
Prototype def-par.txt line would be:
snfs,199,6,0,0,0,0,0,0,0,0,17000000,17000000,29,29,55,55,2.5,2.5,100000
total time: 238.71 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
351e6418118Makoto KamadaFebruary 9, 2011 15:00:00 UTC 2011 年 2 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosFebruary 14, 2011 18:37:23 UTC 2011 年 2 月 15 日 (火) 3 時 37 分 23 秒 (日本時間)
403e6110Ignacio SantosFebruary 14, 2011 18:37:23 UTC 2011 年 2 月 15 日 (火) 3 時 37 分 23 秒 (日本時間)
4511e6184132Ignacio SantosFebruary 14, 2011 18:37:23 UTC 2011 年 2 月 15 日 (火) 3 時 37 分 23 秒 (日本時間)
600Dmitry DomanovDecember 28, 2011 19:58:26 UTC 2011 年 12 月 29 日 (木) 4 時 58 分 26 秒 (日本時間)
1209Jo Yeong UkAugust 27, 2012 11:29:17 UTC 2012 年 8 月 27 日 (月) 20 時 29 分 17 秒 (日本時間)
5043e6740 / 7134440Dmitry DomanovMarch 31, 2012 09:54:00 UTC 2012 年 3 月 31 日 (土) 18 時 54 分 0 秒 (日本時間)
300Dmitry DomanovApril 13, 2012 21:26:51 UTC 2012 年 4 月 14 日 (土) 6 時 26 分 51 秒 (日本時間)

7×10201-18×10100-79

c170

name 名前Jo Yeong Uk
date 日付November 11, 2012 05:02:00 UTC 2012 年 11 月 11 日 (日) 14 時 2 分 0 秒 (日本時間)
composite number 合成数
55631310071551438435363632070611084181397957698888057609965789977985027451171621951386222326778931865538066956350178958127953112983109063792501778395815244622642810467139<170>
prime factors 素因数
399746082866251582808965522657600939735052894988865224464369171024349129714363079<81>
139166617150229219894663641743479050918501734832241621236520321280794472665513652350687141<90>
factorization results 素因数分解の結果
Number: 77577_100
N=55631310071551438435363632070611084181397957698888057609965789977985027451171621951386222326778931865538066956350178958127953112983109063792501778395815244622642810467139
  ( 170 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=399746082866251582808965522657600939735052894988865224464369171024349129714363079
 r2=139166617150229219894663641743479050918501734832241621236520321280794472665513652350687141
Version: 
Total time: 504.31 hours.
Scaled time: 1853.86 units (timescale=3.676).
Factorization parameters were as follows:
n: 55631310071551438435363632070611084181397957698888057609965789977985027451171621951386222326778931865538066956350178958127953112983109063792501778395815244622642810467139
m: 1000000000000000000000000000000000
deg: 6
c6: 7000
c3: -180
c0: -7
skew: 0.32
# Murphy_E = 7.729e-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, 24400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 40072433
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3606820 x 3607067
Total sieving time: 453.21 hours.
Total relation processing time: 12.04 hours.
Matrix solve time: 38.48 hours.
Time per square root: 0.58 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: 504.31 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz stepping 02
Memory: 36991608k/38797312k available (5153k kernel code, 1057684k absent, 748020k reserved, 7165k data, 1260k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6667.30 BogoMIPS (lpj=3333650)
Total of 12 processors activated (80007.60 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
351e6418118Makoto KamadaFebruary 9, 2011 15:00:00 UTC 2011 年 2 月 10 日 (木) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosFebruary 14, 2011 20:13:01 UTC 2011 年 2 月 15 日 (火) 5 時 13 分 1 秒 (日本時間)
403e6110Ignacio SantosFebruary 14, 2011 20:13:01 UTC 2011 年 2 月 15 日 (火) 5 時 13 分 1 秒 (日本時間)
4511e663232Ignacio SantosFebruary 14, 2011 20:13:01 UTC 2011 年 2 月 15 日 (火) 5 時 13 分 1 秒 (日本時間)
600Dmitry DomanovFebruary 25, 2011 19:35:42 UTC 2011 年 2 月 26 日 (土) 4 時 35 分 42 秒 (日本時間)
5043e61080 / 7398440Dmitry DomanovMarch 31, 2012 09:54:28 UTC 2012 年 3 月 31 日 (土) 18 時 54 分 28 秒 (日本時間)
640Dmitry DomanovApril 9, 2012 12:51:03 UTC 2012 年 4 月 9 日 (月) 21 時 51 分 3 秒 (日本時間)
5511e71 / 17341Dmitry DomanovApril 9, 2012 12:51:03 UTC 2012 年 4 月 9 日 (月) 21 時 51 分 3 秒 (日本時間)
6026e71 / 41880Dmitry DomanovApril 9, 2012 12:51:03 UTC 2012 年 4 月 9 日 (月) 21 時 51 分 3 秒 (日本時間)

7×10205-18×10102-79

c202

name 名前Robert Backstrom
date 日付July 19, 2012 07:02:27 UTC 2012 年 7 月 19 日 (木) 16 時 2 分 27 秒 (日本時間)
composite number 合成数
2764940553778093770983923845637318797645850614211794446419401982857368566575818619899672157048623454595015207173045779515740411581151005253387052178378164869455306710905715527116167002409448196863767429<202>
prime factors 素因数
53410605558154909135756544226006214887224010889827650339367339793216644847<74>
51767631632027685161705151544270373344741823286205261875953396597103473519367937160397412103951090456806850567470085455313890507<128>
factorization results 素因数分解の結果
Number: n
N=2764940553778093770983923845637318797645850614211794446419401982857368566575818619899672157048623454595015207173045779515740411581151005253387052178378164869455306710905715527116167002409448196863767429
  ( 202 digits)
SNFS difficulty: 205 digits.
Divisors found:

Thu Jul 19 16:51:43 2012  prp74 factor: 53410605558154909135756544226006214887224010889827650339367339793216644847
Thu Jul 19 16:51:43 2012  prp128 factor: 51767631632027685161705151544270373344741823286205261875953396597103473519367937160397412103951090456806850567470085455313890507
Thu Jul 19 16:51:43 2012  elapsed time 07:27:39 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.100).
Factorization parameters were as follows:
name: KA_77577_102
n: 2764940553778093770983923845637318797645850614211794446419401982857368566575818619899672157048623454595015207173045779515740411581151005253387052178378164869455306710905715527116167002409448196863767429
m: 10000000000000000000000000000000000
#  c202, diff: 205.85
skew: 0.681
deg: 6
c6: 70
c3: -18
c0: -7
# Murphy_E = 1.055e-11
type: snfs
lss: 1
rlim: 18900000
alim: 18900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 18900000/18900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 70250000)
Primes: RFBsize:1205065, AFBsize:1205147,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 7380285 hash collisions in 47003505 relations (40633492 unique)
Msieve: matrix is 2232518 x 2232743 (621.8 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,205,6,0,0,0,0,0,0,0,0,18900000,18900000,28,28,56,56,2.6,2.6,100000
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.. 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
351e6618118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
500Serge BatalovDecember 18, 2011 18:47:25 UTC 2011 年 12 月 19 日 (月) 3 時 47 分 25 秒 (日本時間)
403e6300Serge BatalovDecember 18, 2011 22:19:20 UTC 2011 年 12 月 19 日 (月) 7 時 19 分 20 秒 (日本時間)
4511e64630630Dmitry DomanovDecember 19, 2011 21:11:36 UTC 2011 年 12 月 20 日 (火) 6 時 11 分 36 秒 (日本時間)
4000Wataru SakaiDecember 26, 2011 00:43:08 UTC 2011 年 12 月 26 日 (月) 9 時 43 分 8 秒 (日本時間)

7×10211-18×10105-79

c134

name 名前Markus Tervooren
date 日付January 31, 2012 16:33:52 UTC 2012 年 2 月 1 日 (水) 1 時 33 分 52 秒 (日本時間)
composite number 合成数
50748964984804680338887196485913405842039442993884438748358222665031381840668930869149211171533225063032179871953114918724840040556721<134>
prime factors 素因数
2121651109410683971455061333284358420439603613758989<52>
23919561873158712483369625694861872337081428705158670395479947599079185857483790389<83>
factorization results 素因数分解の結果
# Poly selected by Dmitry Domanov


Tue Jan 31 09:24:24 2012  Msieve v. 1.50 (SVN 656M)
Tue Jan 31 09:24:24 2012  random seeds: dc0b24e1 faf50a05
Tue Jan 31 09:24:24 2012  factoring 50748964984804680338887196485913405842039442993884438748358222665031381840668930869149211171533225063032179871953114918724840040556721 (134 digits)
Tue Jan 31 09:24:25 2012  searching for 15-digit factors
Tue Jan 31 09:24:25 2012  commencing number field sieve (134-digit input)
Tue Jan 31 09:24:25 2012  R0: -97097128195850875544577337
Tue Jan 31 09:24:25 2012  R1: 395661031974083
Tue Jan 31 09:24:25 2012  A0: -553904422796957420600130239922240
Tue Jan 31 09:24:25 2012  A1: 25332555756649970231079708936
Tue Jan 31 09:24:25 2012  A2: -144809552917231521801510
Tue Jan 31 09:24:25 2012  A3: -10815314527411457
Tue Jan 31 09:24:25 2012  A4: 59600335916
Tue Jan 31 09:24:25 2012  A5: 5880
Tue Jan 31 09:24:25 2012  skew 1362535.35, size 6.607e-13, alpha -7.472, combined = 4.666e-11 rroots = 5
Tue Jan 31 09:24:25 2012
Tue Jan 31 09:24:25 2012  commencing relation filtering
Tue Jan 31 09:24:25 2012  estimated available RAM is 16079.7 MB
Tue Jan 31 09:24:25 2012  commencing duplicate removal, pass 1
Tue Jan 31 09:24:56 2012  error -15 reading relation 2898254
Tue Jan 31 09:25:04 2012  error -15 reading relation 3531222
Tue Jan 31 09:25:34 2012  error -11 reading relation 6307582
Tue Jan 31 09:26:03 2012  error -9 reading relation 8986060
Tue Jan 31 09:26:12 2012  error -11 reading relation 9836369
Tue Jan 31 09:26:45 2012  error -15 reading relation 12854277
Tue Jan 31 09:27:20 2012  error -15 reading relation 16074288
Tue Jan 31 09:27:54 2012  error -15 reading relation 19225430
Tue Jan 31 09:28:27 2012  error -9 reading relation 22257289
Tue Jan 31 09:28:28 2012  found 3414637 hash collisions in 22321213 relations
Tue Jan 31 09:29:19 2012  added 119639 free relations
Tue Jan 31 09:29:19 2012  commencing duplicate removal, pass 2
Tue Jan 31 09:30:24 2012  found 3120950 duplicates and 19319902 unique relations
Tue Jan 31 09:30:24 2012  memory use: 106.6 MB
Tue Jan 31 09:30:24 2012  reading ideals above 720000
Tue Jan 31 09:30:24 2012  commencing singleton removal, initial pass
Tue Jan 31 09:34:39 2012  memory use: 376.5 MB
Tue Jan 31 09:34:39 2012  reading all ideals from disk
Tue Jan 31 09:34:39 2012  memory use: 600.6 MB
Tue Jan 31 09:34:42 2012  keeping 20243194 ideals with weight <= 200, target excess is 130094
Tue Jan 31 09:34:45 2012  commencing in-memory singleton removal
Tue Jan 31 09:34:47 2012  begin with 19319902 relations and 20243194 unique ideals
Tue Jan 31 09:35:10 2012  reduce to 8532144 relations and 7819802 ideals in 16 passes
Tue Jan 31 09:35:10 2012  max relations containing the same ideal: 115
Tue Jan 31 09:35:16 2012  removing 1750082 relations and 1469366 ideals in 280716 cliques
Tue Jan 31 09:35:16 2012  commencing in-memory singleton removal
Tue Jan 31 09:35:17 2012  begin with 6782062 relations and 7819802 unique ideals
Tue Jan 31 09:35:28 2012  reduce to 6540794 relations and 6099552 ideals in 12 passes
Tue Jan 31 09:35:28 2012  max relations containing the same ideal: 96
Tue Jan 31 09:35:33 2012  removing 1325187 relations and 1044471 ideals in 280716 cliques
Tue Jan 31 09:35:33 2012  commencing in-memory singleton removal
Tue Jan 31 09:35:34 2012  begin with 5215607 relations and 6099552 unique ideals
Tue Jan 31 09:35:41 2012  reduce to 5021025 relations and 4852036 ideals in 11 passes
Tue Jan 31 09:35:41 2012  max relations containing the same ideal: 78
Tue Jan 31 09:35:44 2012  removing 146883 relations and 128804 ideals in 18079 cliques
Tue Jan 31 09:35:45 2012  commencing in-memory singleton removal
Tue Jan 31 09:35:45 2012  begin with 4874142 relations and 4852036 unique ideals
Tue Jan 31 09:35:48 2012  reduce to 4871274 relations and 4720355 ideals in 5 passes
Tue Jan 31 09:35:48 2012  max relations containing the same ideal: 76
Tue Jan 31 09:35:50 2012  relations with 0 large ideals: 574
Tue Jan 31 09:35:50 2012  relations with 1 large ideals: 4030
Tue Jan 31 09:35:50 2012  relations with 2 large ideals: 43205
Tue Jan 31 09:35:50 2012  relations with 3 large ideals: 228700
Tue Jan 31 09:35:50 2012  relations with 4 large ideals: 680857
Tue Jan 31 09:35:50 2012  relations with 5 large ideals: 1213674
Tue Jan 31 09:35:50 2012  relations with 6 large ideals: 1339916
Tue Jan 31 09:35:50 2012  relations with 7+ large ideals: 1360318
Tue Jan 31 09:35:50 2012  commencing 2-way merge
Tue Jan 31 09:35:53 2012  reduce to 2995340 relation sets and 2844421 unique ideals
Tue Jan 31 09:35:53 2012  commencing full merge
Tue Jan 31 09:36:39 2012  memory use: 327.9 MB
Tue Jan 31 09:36:39 2012  found 1538623 cycles, need 1518621
Tue Jan 31 09:36:40 2012  weight of 1518621 cycles is about 106353476 (70.03/cycle)
Tue Jan 31 09:36:40 2012  distribution of cycle lengths:
Tue Jan 31 09:36:40 2012  1 relations: 184398
Tue Jan 31 09:36:40 2012  2 relations: 183051
Tue Jan 31 09:36:40 2012  3 relations: 180071
Tue Jan 31 09:36:40 2012  4 relations: 162243
Tue Jan 31 09:36:40 2012  5 relations: 148065
Tue Jan 31 09:36:40 2012  6 relations: 126765
Tue Jan 31 09:36:40 2012  7 relations: 110060
Tue Jan 31 09:36:40 2012  8 relations: 92361
Tue Jan 31 09:36:40 2012  9 relations: 76468
Tue Jan 31 09:36:40 2012  10+ relations: 255139
Tue Jan 31 09:36:40 2012  heaviest cycle: 20 relations
Tue Jan 31 09:36:40 2012  commencing cycle optimization
Tue Jan 31 09:36:43 2012  start with 8608668 relations
Tue Jan 31 12:49:09 2012
Tue Jan 31 12:49:09 2012
Tue Jan 31 12:49:09 2012  Msieve v. 1.50 (SVN 656M)
Tue Jan 31 12:49:09 2012  random seeds: 79540de2 b762ee74
Tue Jan 31 12:49:09 2012  factoring 50748964984804680338887196485913405842039442993884438748358222665031381840668930869149211171533225063032179871953114918724840040556721 (134 digits)
Tue Jan 31 12:49:10 2012  searching for 15-digit factors
Tue Jan 31 12:49:10 2012  commencing number field sieve (134-digit input)
Tue Jan 31 12:49:10 2012  R0: -97097128195850875544577337
Tue Jan 31 12:49:10 2012  R1: 395661031974083
Tue Jan 31 12:49:10 2012  A0: -553904422796957420600130239922240
Tue Jan 31 12:49:10 2012  A1: 25332555756649970231079708936
Tue Jan 31 12:49:10 2012  A2: -144809552917231521801510
Tue Jan 31 12:49:10 2012  A3: -10815314527411457
Tue Jan 31 12:49:10 2012  A4: 59600335916
Tue Jan 31 12:49:10 2012  A5: 5880
Tue Jan 31 12:49:10 2012  skew 1362535.35, size 6.607e-13, alpha -7.472, combined = 4.666e-11 rroots = 5
Tue Jan 31 12:49:10 2012
Tue Jan 31 12:49:10 2012  commencing relation filtering
Tue Jan 31 12:49:10 2012  estimated available RAM is 16079.7 MB
Tue Jan 31 12:49:10 2012  commencing duplicate removal, pass 1
Tue Jan 31 12:49:46 2012  error -6 reading relation 3231623
Tue Jan 31 12:49:54 2012  error -15 reading relation 3864591
Tue Jan 31 12:50:28 2012  error -15 reading relation 6960974
Tue Jan 31 12:51:01 2012  error -15 reading relation 9947639
Tue Jan 31 12:51:14 2012  error -15 reading relation 11098968
Tue Jan 31 12:51:51 2012  error -15 reading relation 14443363
Tue Jan 31 12:52:31 2012  error -11 reading relation 18017312
Tue Jan 31 12:53:10 2012  error -11 reading relation 21521984
Tue Jan 31 12:53:47 2012  error -15 reading relation 24896697
Tue Jan 31 12:53:48 2012  found 4137981 hash collisions in 24960621 relations
Tue Jan 31 12:54:40 2012  added 120148 free relations
Tue Jan 31 12:54:40 2012  commencing duplicate removal, pass 2
Tue Jan 31 12:55:55 2012  found 3833907 duplicates and 21246862 unique relations
Tue Jan 31 12:55:55 2012  memory use: 106.6 MB
Tue Jan 31 12:55:55 2012  reading ideals above 720000
Tue Jan 31 12:55:55 2012  commencing singleton removal, initial pass
Tue Jan 31 13:00:46 2012  memory use: 689.0 MB
Tue Jan 31 13:00:46 2012  reading all ideals from disk
Tue Jan 31 13:00:46 2012  memory use: 661.1 MB
Tue Jan 31 13:00:49 2012  keeping 20986355 ideals with weight <= 200, target excess is 136601
Tue Jan 31 13:00:53 2012  commencing in-memory singleton removal
Tue Jan 31 13:00:56 2012  begin with 21246862 relations and 20986355 unique ideals
Tue Jan 31 13:01:30 2012  reduce to 11003795 relations and 9388625 ideals in 14 passes
Tue Jan 31 13:01:30 2012  max relations containing the same ideal: 135
Tue Jan 31 13:01:39 2012  removing 2078072 relations and 1678072 ideals in 400000 cliques
Tue Jan 31 13:01:39 2012  commencing in-memory singleton removal
Tue Jan 31 13:01:41 2012  begin with 8925723 relations and 9388625 unique ideals
Tue Jan 31 13:01:54 2012  reduce to 8698194 relations and 7473692 ideals in 9 passes
Tue Jan 31 13:01:54 2012  max relations containing the same ideal: 112
Tue Jan 31 13:02:01 2012  removing 1577484 relations and 1177484 ideals in 400000 cliques
Tue Jan 31 13:02:02 2012  commencing in-memory singleton removal
Tue Jan 31 13:02:03 2012  begin with 7120710 relations and 7473692 unique ideals
Tue Jan 31 13:02:12 2012  reduce to 6936608 relations and 6104144 ideals in 8 passes
Tue Jan 31 13:02:12 2012  max relations containing the same ideal: 95
Tue Jan 31 13:02:18 2012  removing 1428031 relations and 1028031 ideals in 400000 cliques
Tue Jan 31 13:02:19 2012  commencing in-memory singleton removal
Tue Jan 31 13:02:19 2012  begin with 5508577 relations and 6104144 unique ideals
Tue Jan 31 13:02:26 2012  reduce to 5316453 relations and 4873830 ideals in 8 passes
Tue Jan 31 13:02:26 2012  max relations containing the same ideal: 75
Tue Jan 31 13:02:31 2012  removing 1038866 relations and 754701 ideals in 284165 cliques
Tue Jan 31 13:02:31 2012  commencing in-memory singleton removal
Tue Jan 31 13:02:32 2012  begin with 4277587 relations and 4873830 unique ideals
Tue Jan 31 13:02:37 2012  reduce to 4136820 relations and 3971533 ideals in 8 passes
Tue Jan 31 13:02:37 2012  max relations containing the same ideal: 66
Tue Jan 31 13:02:41 2012  relations with 0 large ideals: 589
Tue Jan 31 13:02:41 2012  relations with 1 large ideals: 4982
Tue Jan 31 13:02:41 2012  relations with 2 large ideals: 48714
Tue Jan 31 13:02:41 2012  relations with 3 large ideals: 239391
Tue Jan 31 13:02:41 2012  relations with 4 large ideals: 655017
Tue Jan 31 13:02:41 2012  relations with 5 large ideals: 1075434
Tue Jan 31 13:02:41 2012  relations with 6 large ideals: 1098810
Tue Jan 31 13:02:41 2012  relations with 7+ large ideals: 1013883
Tue Jan 31 13:02:41 2012  commencing 2-way merge
Tue Jan 31 13:02:45 2012  reduce to 2681220 relation sets and 2515933 unique ideals
Tue Jan 31 13:02:45 2012  commencing full merge
Tue Jan 31 13:03:37 2012  memory use: 291.9 MB
Tue Jan 31 13:03:38 2012  found 1375434 cycles, need 1348133
Tue Jan 31 13:03:38 2012  weight of 1348133 cycles is about 94582357 (70.16/cycle)
Tue Jan 31 13:03:38 2012  distribution of cycle lengths:
Tue Jan 31 13:03:38 2012  1 relations: 136720
Tue Jan 31 13:03:38 2012  2 relations: 152734
Tue Jan 31 13:03:38 2012  3 relations: 161069
Tue Jan 31 13:03:38 2012  4 relations: 154533
Tue Jan 31 13:03:38 2012  5 relations: 144106
Tue Jan 31 13:03:38 2012  6 relations: 126621
Tue Jan 31 13:03:38 2012  7 relations: 107810
Tue Jan 31 13:03:38 2012  8 relations: 88221
Tue Jan 31 13:03:38 2012  9 relations: 71337
Tue Jan 31 13:03:38 2012  10+ relations: 204982
Tue Jan 31 13:03:38 2012  heaviest cycle: 19 relations
Tue Jan 31 13:03:38 2012  commencing cycle optimization
Tue Jan 31 13:03:41 2012  start with 7598773 relations
Tue Jan 31 13:03:54 2012  pruned 218608 relations
Tue Jan 31 13:03:54 2012  memory use: 245.2 MB
Tue Jan 31 13:03:54 2012  distribution of cycle lengths:
Tue Jan 31 13:03:54 2012  1 relations: 136720
Tue Jan 31 13:03:54 2012  2 relations: 156439
Tue Jan 31 13:03:54 2012  3 relations: 167267
Tue Jan 31 13:03:54 2012  4 relations: 159413
Tue Jan 31 13:03:54 2012  5 relations: 148829
Tue Jan 31 13:03:54 2012  6 relations: 129236
Tue Jan 31 13:03:54 2012  7 relations: 109416
Tue Jan 31 13:03:54 2012  8 relations: 88051
Tue Jan 31 13:03:54 2012  9 relations: 70064
Tue Jan 31 13:03:54 2012  10+ relations: 182698
Tue Jan 31 13:03:54 2012  heaviest cycle: 19 relations
Tue Jan 31 13:03:57 2012  RelProcTime: 887
Tue Jan 31 13:03:57 2012
Tue Jan 31 13:03:57 2012  commencing linear algebra
Tue Jan 31 13:03:57 2012  read 1348133 cycles
Tue Jan 31 13:03:59 2012  cycles contain 3995538 unique relations
Tue Jan 31 13:05:42 2012  read 3995538 relations
Tue Jan 31 13:05:48 2012  using 20 quadratic characters above 268435034
Tue Jan 31 13:06:07 2012  building initial matrix
Tue Jan 31 13:06:56 2012  memory use: 543.5 MB
Tue Jan 31 13:06:57 2012  read 1348133 cycles
Tue Jan 31 13:06:57 2012  matrix is 1347954 x 1348133 (407.4 MB) with weight 129380251 (95.97/col)
Tue Jan 31 13:06:57 2012  sparse part has weight 90615265 (67.22/col)
Tue Jan 31 13:07:16 2012  filtering completed in 2 passes
Tue Jan 31 13:07:17 2012  matrix is 1346758 x 1346941 (407.2 MB) with weight 129322220 (96.01/col)
Tue Jan 31 13:07:17 2012  sparse part has weight 90592871 (67.26/col)
Tue Jan 31 13:07:20 2012  matrix starts at (0, 0)
Tue Jan 31 13:07:20 2012  matrix is 1346758 x 1346941 (407.2 MB) with weight 129322220 (96.01/col)
Tue Jan 31 13:07:20 2012  sparse part has weight 90592871 (67.26/col)
Tue Jan 31 13:07:20 2012  saving the first 48 matrix rows for later
Tue Jan 31 13:07:21 2012  matrix includes 64 packed rows
Tue Jan 31 13:07:21 2012  matrix is 1346710 x 1346941 (392.3 MB) with weight 102710752 (76.25/col)
Tue Jan 31 13:07:21 2012  sparse part has weight 89372963 (66.35/col)
Tue Jan 31 13:07:21 2012  using block size 262144 for processor cache size 6144 kB
Tue Jan 31 13:07:23 2012  commencing Lanczos iteration (2 threads)
Tue Jan 31 13:07:23 2012  memory use: 431.8 MB
Tue Jan 31 13:07:41 2012  linear algebra at 0.1%, ETA 4h11m
Tue Jan 31 13:07:45 2012  checkpointing every 350000 dimensions
Tue Jan 31 16:45:47 2012  lanczos halted after 21298 iterations (dim = 1346708)
Tue Jan 31 16:45:48 2012  recovered 28 nontrivial dependencies
Tue Jan 31 16:45:49 2012  BLanczosTime: 13312
Tue Jan 31 16:45:49 2012
Tue Jan 31 16:45:49 2012  commencing square root phase
Tue Jan 31 16:45:49 2012  reading relations for dependency 1
Tue Jan 31 16:45:49 2012  read 672986 cycles
Tue Jan 31 16:45:50 2012  cycles contain 1996324 unique relations
Tue Jan 31 16:47:47 2012  read 1996324 relations
Tue Jan 31 16:47:56 2012  multiplying 1996324 relations
Tue Jan 31 16:49:33 2012  multiply complete, coefficients have about 93.22 million bits
Tue Jan 31 16:49:34 2012  initial square root is modulo 4912421
Tue Jan 31 16:52:33 2012  sqrtTime: 404
Tue Jan 31 16:52:33 2012  prp52 factor: 2121651109410683971455061333284358420439603613758989
Tue Jan 31 16:52:33 2012  prp83 factor: 23919561873158712483369625694861872337081428705158670395479947599079185857483790389
Tue Jan 31 16:52:33 2012  elapsed time 04:03:24

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
403e62318100Lionel DebrouxDecember 18, 2011 18:51:11 UTC 2011 年 12 月 19 日 (月) 3 時 51 分 11 秒 (日本時間)
600Dmitry DomanovDecember 19, 2011 08:46:36 UTC 2011 年 12 月 19 日 (月) 17 時 46 分 36 秒 (日本時間)
1618Wataru SakaiDecember 20, 2011 14:06:51 UTC 2011 年 12 月 20 日 (火) 23 時 6 分 51 秒 (日本時間)
4511e64000Wataru SakaiDecember 23, 2011 04:23:36 UTC 2011 年 12 月 23 日 (金) 13 時 23 分 36 秒 (日本時間)

7×10213-18×10106-79

c196

name 名前Serge Batalov
date 日付December 18, 2011 18:28:49 UTC 2011 年 12 月 19 日 (月) 3 時 28 分 49 秒 (日本時間)
composite number 合成数
2594912535925870446054379087664644122977319506060228450757791670201316452889164802469620822665040291798415472358451310280581636755724889215590765446557761259064211905820253179509020324066169109317<196>
prime factors 素因数
84643356744202076498903816369770069268689<41>
composite cofactor 合成数の残り
30657013565374904221039068699034748857291583390686769411559990391400566699164644013192063655658967595821085069667920837397494547499042559052700190499379253<155>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=676871739
Step 1 took 5356ms
Step 2 took 3492ms
********** Factor found in step 2: 84643356744202076498903816369770069268689
Found probable prime factor of 41 digits: 84643356744202076498903816369770069268689
Composite cofactor ((10^213*7-10^106*18-7)/9/60167/93997/52998119)/84643356744202076498903816369770069268689 has 155 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 21, 2011 20:49:35 UTC 2011 年 12 月 22 日 (木) 5 時 49 分 35 秒 (日本時間)
4511e6600Dmitry DomanovDecember 25, 2011 12:11:43 UTC 2011 年 12 月 25 日 (日) 21 時 11 分 43 秒 (日本時間)
5043e61090 / 7407400Dmitry DomanovDecember 29, 2011 08:46:28 UTC 2011 年 12 月 29 日 (木) 17 時 46 分 28 秒 (日本時間)
690Dmitry DomanovApril 4, 2012 09:30:07 UTC 2012 年 4 月 4 日 (水) 18 時 30 分 7 秒 (日本時間)

7×10215-18×10107-79

c211

name 名前Bob Backstrom
date 日付September 22, 2017 11:45:24 UTC 2017 年 9 月 22 日 (金) 20 時 45 分 24 秒 (日本時間)
composite number 合成数
4447748486177033097602663565950579160392164337952637832548623421843528208256291975626338295749858625137403647153758665167140034184124079474911521574757121163022689871205911693130770159420013597402514884072612671<211>
prime factors 素因数
823620469130359929843744044226984750308572844118212966957<57>
5400240344771055155889954777555223905120156028087605288452179787555395259849201429780118914686637500452457588754347903210793369003647641741493746945397403<154>
factorization results 素因数分解の結果
Number: n
N=4447748486177033097602663565950579160392164337952637832548623421843528208256291975626338295749858625137403647153758665167140034184124079474911521574757121163022689871205911693130770159420013597402514884072612671
  ( 211 digits)
SNFS difficulty: 216 digits.
Divisors found:

Fri Sep 22 20:56:12 2017  p57 factor: 823620469130359929843744044226984750308572844118212966957
Fri Sep 22 20:56:12 2017  p154 factor: 5400240344771055155889954777555223905120156028087605288452179787555395259849201429780118914686637500452457588754347903210793369003647641741493746945397403
Fri Sep 22 20:56:12 2017  elapsed time 04:02:59 (Msieve 1.53 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.719).
Factorization parameters were as follows:
#
# 7x10^215-18x10^107-7 7(107)57(107)
#
n: 4447748486177033097602663565950579160392164337952637832548623421843528208256291975626338295749858625137403647153758665167140034184124079474911521574757121163022689871205911693130770159420013597402514884072612671
m: 1000000000000000000000000000000000000
deg: 6
c6: 7
c3: -18
c0: -70
skew: 1.47
# Murphy_E = 4.535e-12
type: snfs
lss: 1
rlim: 29000000
alim: 29000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 29000000/29000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 51300000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 13333042 hash collisions in 76678904 relations (65640581 unique)
Msieve: matrix is 3214045 x 3214276 (909.9 MB)

Sieving start time: 2017/09/21 14:17:08
Sieving end time  : 2017/09/22 16:42:37

Total sieving time: 26hrs 25min 29secs.

Total relation processing time: 3hrs 37min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 29sec.

Prototype def-par.txt line would be:
snfs,216,6,0,0,0,0,0,0,0,0,29000000,29000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.178577] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16306368K/16703460K available (9091K kernel code, 1667K rwdata, 3820K rodata, 2232K init, 2364K bss, 397092K reserved, 0K cma-reserved)
[    0.215024] x86/mm: Memory block size: 128MB
[    0.000018] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.38 BogoMIPS (lpj=11976772)
[    0.212835] smpboot: Total of 16 processors activated (95814.17 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
403e62318300Serge BatalovDecember 18, 2011 22:19:33 UTC 2011 年 12 月 19 日 (月) 7 時 19 分 33 秒 (日本時間)
2018Wataru SakaiDecember 21, 2011 04:00:38 UTC 2011 年 12 月 21 日 (水) 13 時 0 分 38 秒 (日本時間)
4511e64000Wataru SakaiDecember 26, 2011 00:43:23 UTC 2011 年 12 月 26 日 (月) 9 時 43 分 23 秒 (日本時間)

7×10217-18×10108-79

c188

name 名前Warut Roonguthai
date 日付December 18, 2011 16:34:04 UTC 2011 年 12 月 19 日 (月) 1 時 34 分 4 秒 (日本時間)
composite number 合成数
22679362158391235640929711993236119989435008705275785855028574580080167472396115907893434350564333499706775829137919567494122873246957366684058749435211780760129614673142133956312196381163<188>
prime factors 素因数
353345140253376211675851659<27>
composite cofactor 合成数の残り
64184729248372715969821460003794151431220968015313204353874541061726125684479207518799007094509767019725216899289986035789494814434781224451714069314925003847457<161>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=156459536
Step 1 took 56641ms
Step 2 took 22468ms
********** Factor found in step 2: 353345140253376211675851659
Found probable prime factor of 27 digits: 353345140253376211675851659
Composite cofactor 64184729248372715969821460003794151431220968015313204353874541061726125684479207518799007094509767019725216899289986035789494814434781224451714069314925003847457 has 161 digits
software ソフトウェア
GMP-ECM 6.3

c161

name 名前Dmitry Domanov
date 日付April 3, 2012 21:40:57 UTC 2012 年 4 月 4 日 (水) 6 時 40 分 57 秒 (日本時間)
composite number 合成数
64184729248372715969821460003794151431220968015313204353874541061726125684479207518799007094509767019725216899289986035789494814434781224451714069314925003847457<161>
prime factors 素因数
63035889454403754946061327266063932819423521459060081<53>
613850309913990319670245798858972905900959466545795417<54>
1658751577440207610813881308689525049292806889556738841<55>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2582114177
Step 1 took 302618ms
Step 2 took 81295ms
********** Factor found in step 2: 613850309913990319670245798858972905900959466545795417
Found probable prime factor of 54 digits: 613850309913990319670245798858972905900959466545795417
Composite cofactor 104560881067838776403751789684686342155138198024821745822532049783633265261667434527108805806953747445306121 has 108 digits

N=104560881067838776403751789684686342155138198024821745822532049783633265261667434527108805806953747445306121
  ( 108 digits)
Divisors found:
 r1=63035889454403754946061327266063932819423521459060081 (pp53)
 r2=1658751577440207610813881308689525049292806889556738841 (pp55)
Version: Msieve v. 1.48
Total time: 0.26 hours.
Scaled time: 0.43 units (timescale=1.686).
Factorization parameters were as follows:
name: 108
n: 104560881067838776403751789684686342155138198024821745822532049783633265261667434527108805806953747445306121
skew: 12824.61
# norm 1.42e+14
c5: 5160
c4: 850890278
c3: -6653578583756
c2: -159682337400570222
c1: 192400743062487014175
c0: 570341762836468711420500
# alpha -4.70
Y1: 67990257973
Y0: -458502578719796696567
# Murphy_E 1.38e-09
# M 54775794275882921600826286684171084688082493816885612830522644133142077579317870920781062062365946557464279
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2600001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 327159 x 327387
Total sieving time: 0.00 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 0.26 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 21, 2011 20:49:57 UTC 2011 年 12 月 22 日 (木) 5 時 49 分 57 秒 (日本時間)
4511e6600Dmitry DomanovDecember 25, 2011 12:12:06 UTC 2011 年 12 月 25 日 (日) 21 時 12 分 6 秒 (日本時間)
5043e61120 / 7407400Dmitry DomanovDecember 29, 2011 20:12:29 UTC 2011 年 12 月 30 日 (金) 5 時 12 分 29 秒 (日本時間)
720Dmitry DomanovApril 2, 2012 21:38:41 UTC 2012 年 4 月 3 日 (火) 6 時 38 分 41 秒 (日本時間)

7×10219-18×10109-79

c217

composite cofactor 合成数の残り
1027447526787024805518861001027447526787024805518861001027447526787024805518861001027447526787024805518861001001027447526787024805518861001027447526787024805518861001027447526787024805518861001027447526787024805518861<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiDecember 21, 2011 12:35:48 UTC 2011 年 12 月 21 日 (水) 21 時 35 分 48 秒 (日本時間)
4511e60--
5043e61140 / 7465400Dmitry DomanovJanuary 2, 2012 16:05:27 UTC 2012 年 1 月 3 日 (火) 1 時 5 分 27 秒 (日本時間)
440Dmitry DomanovJanuary 15, 2012 20:39:57 UTC 2012 年 1 月 16 日 (月) 5 時 39 分 57 秒 (日本時間)
300Dmitry DomanovApril 2, 2012 21:39:39 UTC 2012 年 4 月 3 日 (火) 6 時 39 分 39 秒 (日本時間)

7×10225-18×10112-79

c192

composite cofactor 合成数の残り
141998006172046292856078032589180866588410110780624216302581102652197675660019032651617569706092003527418281424573055404342215214906331040619482879140577500883552997685112487926726424808184997<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 21, 2011 20:50:13 UTC 2011 年 12 月 22 日 (木) 5 時 50 分 13 秒 (日本時間)
4511e61200600Dmitry DomanovDecember 26, 2011 20:57:05 UTC 2011 年 12 月 27 日 (火) 5 時 57 分 5 秒 (日本時間)
600Dmitry DomanovDecember 29, 2011 20:15:50 UTC 2011 年 12 月 30 日 (金) 5 時 15 分 50 秒 (日本時間)
5043e6960 / 7272480Dmitry DomanovJanuary 15, 2012 20:40:29 UTC 2012 年 1 月 16 日 (月) 5 時 40 分 29 秒 (日本時間)
480Dmitry DomanovApril 2, 2012 21:40:21 UTC 2012 年 4 月 3 日 (火) 6 時 40 分 21 秒 (日本時間)

7×10227-18×10113-79

c200

name 名前Warut Roonguthai
date 日付December 18, 2011 17:01:45 UTC 2011 年 12 月 19 日 (月) 2 時 1 分 45 秒 (日本時間)
composite number 合成数
35635707672176250895587012203408793606728165603636776002275372592364715566297839772577913995294435475069909320044289215694121791508289974110100045235082893403199090857810384809636222375029210066160297<200>
prime factors 素因数
176425428616496497197512993538427<33>
201987366286291492527580993410458134517955745033542219317844893900942906180875884230680916160204125084393308106976322686015483343157428686119092120912534309139706048811<168>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3257434620
Step 1 took 9875ms
********** Factor found in step 1: 176425428616496497197512993538427
Found probable prime factor of 33 digits: 176425428616496497197512993538427
Probable prime cofactor 201987366286291492527580993410458134517955745033542219317844893900942906180875884230680916160204125084393308106976322686015483343157428686119092120912534309139706048811 has 168 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)

7×10229-18×10114-79

c228

name 名前Wataru Sakai
date 日付December 20, 2011 12:53:52 UTC 2011 年 12 月 20 日 (火) 21 時 53 分 52 秒 (日本時間)
composite number 合成数
409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883<228>
prime factors 素因数
11261081786348711231813700949721263780487<41>
36351456539676593129503436261078004373837191488153917616454474382112573514182541373373304837575547143490746878186059511592981807823214974335942594259540121794441163722068538804446082896509<188>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=696940842
Step 1 took 21910ms
Step 2 took 7921ms
********** Factor found in step 2: 11261081786348711231813700949721263780487
Found probable prime factor of 41 digits: 11261081786348711231813700949721263780487
Probable prime cofactor 36351456539676593129503436261078004373837191488153917616454474382112573514182541373373304837575547143490746878186059511592981807823214974335942594259540121794441163722068538804446082896509 has 188 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6618118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
500Serge BatalovDecember 18, 2011 18:47:09 UTC 2011 年 12 月 19 日 (月) 3 時 47 分 9 秒 (日本時間)
403e61000 / 2182Dmitry DomanovDecember 19, 2011 14:35:31 UTC 2011 年 12 月 19 日 (月) 23 時 35 分 31 秒 (日本時間)

7×10233-18×10116-79

c167

composite cofactor 合成数の残り
98126405328167921729959050688879427750671728922166440120483858497233789395179722985317070031375582810190325421106246718915716460409208188360334867301746868548308920149<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 21, 2011 20:50:23 UTC 2011 年 12 月 22 日 (木) 5 時 50 分 23 秒 (日本時間)
4511e6600Dmitry DomanovDecember 25, 2011 12:14:10 UTC 2011 年 12 月 25 日 (日) 21 時 14 分 10 秒 (日本時間)
5043e61080 / 7399360Dmitry DomanovDecember 29, 2011 20:16:48 UTC 2011 年 12 月 30 日 (金) 5 時 16 分 48 秒 (日本時間)
360Dmitry DomanovApril 2, 2012 21:41:09 UTC 2012 年 4 月 3 日 (火) 6 時 41 分 9 秒 (日本時間)
360Dmitry DomanovApril 4, 2012 09:28:14 UTC 2012 年 4 月 4 日 (水) 18 時 28 分 14 秒 (日本時間)
5511e71 / 17342Dmitry DomanovApril 4, 2012 09:28:14 UTC 2012 年 4 月 4 日 (水) 18 時 28 分 14 秒 (日本時間)
6026e71 / 41881Dmitry DomanovApril 4, 2012 09:28:14 UTC 2012 年 4 月 4 日 (水) 18 時 28 分 14 秒 (日本時間)

7×10235-18×10117-79

c202

composite cofactor 合成数の残り
3233883735482475005407379000595526503055156558250546261624417570060734198888295686094619822298043465177444454725231038943301533761278490224724837556769856380777694075938481829995466876504350554555976591<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 21, 2011 20:50:38 UTC 2011 年 12 月 22 日 (木) 5 時 50 分 38 秒 (日本時間)
4511e61200600Dmitry DomanovDecember 26, 2011 20:58:01 UTC 2011 年 12 月 27 日 (火) 5 時 58 分 1 秒 (日本時間)
600Dmitry DomanovDecember 29, 2011 20:17:23 UTC 2011 年 12 月 30 日 (金) 5 時 17 分 23 秒 (日本時間)
5043e6960 / 7272480Dmitry DomanovJanuary 15, 2012 20:41:17 UTC 2012 年 1 月 16 日 (月) 5 時 41 分 17 秒 (日本時間)
480Dmitry DomanovApril 2, 2012 21:41:49 UTC 2012 年 4 月 3 日 (火) 6 時 41 分 49 秒 (日本時間)

7×10237-18×10118-79

c187

composite cofactor 合成数の残り
1800491848384686502525069496554042877496707256601157651127957776854473950468194954834936482373528861728079365709228114939231083326243642445867698574441910585987775875242017651365362632891<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 21, 2011 20:50:55 UTC 2011 年 12 月 22 日 (木) 5 時 50 分 55 秒 (日本時間)
4511e61500600Dmitry DomanovDecember 27, 2011 20:11:54 UTC 2011 年 12 月 28 日 (水) 5 時 11 分 54 秒 (日本時間)
900Dmitry DomanovDecember 29, 2011 20:17:51 UTC 2011 年 12 月 30 日 (金) 5 時 17 分 51 秒 (日本時間)
5043e6920 / 7205520Dmitry DomanovJanuary 15, 2012 20:41:49 UTC 2012 年 1 月 16 日 (月) 5 時 41 分 49 秒 (日本時間)
400Dmitry DomanovApril 5, 2012 09:20:43 UTC 2012 年 4 月 5 日 (木) 18 時 20 分 43 秒 (日本時間)

7×10239-18×10119-79

c179

name 名前Dmitry Domanov
date 日付December 30, 2011 06:14:00 UTC 2011 年 12 月 30 日 (金) 15 時 14 分 0 秒 (日本時間)
composite number 合成数
27100673226868049581863534008863313283973540724647132069196633649810981418321154812505653382692088382251405713014281668956061583953661354766862089455536629717040579294910725040899<179>
prime factors 素因数
14040895106530788991935904298810029205911<41>
composite cofactor 合成数の残り
1930124327633700138525048620875926461932322969089417148484062670675053657289002254537307811065563111605458468920836289543757814009497550709<139>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=133650792
Step 1 took 343720ms
Step 2 took 88713ms
********** Factor found in step 2: 14040895106530788991935904298810029205911
Found probable prime factor of 41 digits: 14040895106530788991935904298810029205911

c139

name 名前Dmitry Domanov
date 日付March 7, 2012 17:53:54 UTC 2012 年 3 月 8 日 (木) 2 時 53 分 54 秒 (日本時間)
composite number 合成数
1930124327633700138525048620875926461932322969089417148484062670675053657289002254537307811065563111605458468920836289543757814009497550709<139>
prime factors 素因数
69767593852519811646250175335085476963907739503<47>
27665055092966910603978610227151170242444876665688334399846918085518290069018821545845677403<92>
factorization results 素因数分解の結果
N=1930124327633700138525048620875926461932322969089417148484062670675053657289002254537307811065563111605458468920836289543757814009497550709
  ( 139 digits)
Divisors found:
 r1=69767593852519811646250175335085476963907739503 (pp47)
 r2=27665055092966910603978610227151170242444876665688334399846918085518290069018821545845677403 (pp92)
Version: Msieve-1.40
Total time: 428.20 hours.
Scaled time: 840.55 units (timescale=1.963).
Factorization parameters were as follows:
# Murphy_E = 2.635e-11, selected by Dmitry Domanov
n: 1930124327633700138525048620875926461932322969089417148484062670675053657289002254537307811065563111605458468920836289543757814009497550709
Y0: -845610290128892713029205538
Y1: 1407173885667107
c0: 30958109221209645263841203068208625
c1: -3894923809309729079652305241
c2: -104894711976530803558459
c3: -27457511108411879
c4: 60549998090
c5: 4464
skew: 1561486.7
type: gnfs
# selected mechanically
rlim: 16400000
alim: 16400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
qintsize: 600000Factor base limits: 16400000/16400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [8200000, 14200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2081353 x 2081581
Total sieving time: 422.52 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 5.00 hours.
Time per square root: 0.43 hours.
Prototype def-par.txt line would be:
gnfs,138,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,16400000,16400000,28,28,55,55,2.6,2.6,100000
total time: 428.20 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 21, 2011 20:51:08 UTC 2011 年 12 月 22 日 (木) 5 時 51 分 8 秒 (日本時間)
4511e6600 / 3216Dmitry DomanovDecember 27, 2011 20:12:25 UTC 2011 年 12 月 28 日 (水) 5 時 12 分 25 秒 (日本時間)
5043e6340 / 7407Dmitry DomanovDecember 29, 2011 20:18:43 UTC 2011 年 12 月 30 日 (金) 5 時 18 分 43 秒 (日本時間)

7×10241-18×10120-79

c213

composite cofactor 合成数の残り
233343044741242844956786358380175579654898580713741400063510683663242998689463408031221944431102762863979061680049615477459857615488491587792780587905256914342184083149769431511272590793894707178111975199339572551<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 21, 2011 20:51:28 UTC 2011 年 12 月 22 日 (木) 5 時 51 分 28 秒 (日本時間)
4511e6750Dmitry DomanovDecember 27, 2011 20:13:38 UTC 2011 年 12 月 28 日 (水) 5 時 13 分 38 秒 (日本時間)
5043e61080 / 7373400Dmitry DomanovJanuary 2, 2012 16:06:04 UTC 2012 年 1 月 3 日 (火) 1 時 6 分 4 秒 (日本時間)
440Dmitry DomanovApril 2, 2012 21:42:38 UTC 2012 年 4 月 3 日 (火) 6 時 42 分 38 秒 (日本時間)
240Dmitry DomanovApril 8, 2012 20:41:46 UTC 2012 年 4 月 9 日 (月) 5 時 41 分 46 秒 (日本時間)

7×10243-18×10121-79

c214

name 名前Dmitry Domanov
date 日付December 28, 2011 07:02:53 UTC 2011 年 12 月 28 日 (水) 16 時 2 分 53 秒 (日本時間)
composite number 合成数
8932924234828132922695262378129843429744455797300594268749883764437465533289460601968272050062160251467153559955727006504648235331575235253469180977337374434187232864155287722022888141004373261430327662837941256031<214>
prime factors 素因数
18369322604172257763853883048200286575843<41>
composite cofactor 合成数の残り
486295789306851279329717907396304747669149816957294670387009930004856146802008407792018638440151008291547031831375023808897195423336334643707338002782796994808558233128056917<174>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3808703982
Step 1 took 119225ms
Step 2 took 36529ms
********** Factor found in step 2: 18369322604172257763853883048200286575843
Found probable prime factor of 41 digits: 18369322604172257763853883048200286575843

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 21, 2011 20:51:37 UTC 2011 年 12 月 22 日 (木) 5 時 51 分 37 秒 (日本時間)
4511e6750Dmitry DomanovDecember 27, 2011 20:14:21 UTC 2011 年 12 月 28 日 (水) 5 時 14 分 21 秒 (日本時間)
5043e6980 / 7296340Dmitry DomanovDecember 29, 2011 20:19:25 UTC 2011 年 12 月 30 日 (金) 5 時 19 分 25 秒 (日本時間)
640Dmitry DomanovApril 2, 2012 21:43:27 UTC 2012 年 4 月 3 日 (火) 6 時 43 分 27 秒 (日本時間)
5511e730 / 17368Dmitry DomanovApril 5, 2012 09:21:28 UTC 2012 年 4 月 5 日 (木) 18 時 21 分 28 秒 (日本時間)
6026e71 / 41879Dmitry DomanovApril 5, 2012 09:21:35 UTC 2012 年 4 月 5 日 (木) 18 時 21 分 35 秒 (日本時間)

7×10245-18×10122-79

c208

composite cofactor 合成数の残り
1012184678269850462200531087184293512285000808900109976796675145370826287563676226426105269193793352714928097718128890742633484646436432979382138503382703842832942313385737184709543269016530510905513817946107<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 21, 2011 20:51:53 UTC 2011 年 12 月 22 日 (木) 5 時 51 分 53 秒 (日本時間)
4511e6750Dmitry DomanovDecember 27, 2011 20:14:48 UTC 2011 年 12 月 28 日 (水) 5 時 14 分 48 秒 (日本時間)
5043e61080 / 7373400Dmitry DomanovJanuary 2, 2012 16:06:23 UTC 2012 年 1 月 3 日 (火) 1 時 6 分 23 秒 (日本時間)
440Dmitry DomanovApril 2, 2012 21:44:08 UTC 2012 年 4 月 3 日 (火) 6 時 44 分 8 秒 (日本時間)
240Dmitry DomanovApril 8, 2012 20:42:33 UTC 2012 年 4 月 9 日 (月) 5 時 42 分 33 秒 (日本時間)

7×10249-18×10124-79

c187

name 名前Serge Batalov
date 日付December 18, 2011 18:24:53 UTC 2011 年 12 月 19 日 (月) 3 時 24 分 53 秒 (日本時間)
composite number 合成数
2629906412197917223814155406844135585226264405685249947267014657693122345466345405955065277307536037279218608417000927863151430887757178605082893130032371581422251122910327446583897243061<187>
prime factors 素因数
17755300360660203768838118307029<32>
composite cofactor 合成数の残り
148119511288297246480552433548059650336203204690059118035065333878759500480786937804524945748549429821734940711983969639425873255072713576973299597194106209<156>
factorization results 素因数分解の結果
Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=2702145941
Step 1 took 1620ms
Step 2 took 692ms
********** Factor found in step 2: 17755300360660203768838118307029
Found probable prime factor of 32 digits: 17755300360660203768838118307029
Composite cofactor ((10^249*7-10^124*18-7)/9/71/2011/13592119/1726922773122940670939423)/17755300360660203768838118307029 has 182
digits

Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=3127843413
Step 1 took 1624ms
Step 2 took 692ms
********** Factor found in step 2: 88243907863509621604418281
Found probable prime factor of 26 digits: 88243907863509621604418281

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiDecember 21, 2011 04:02:53 UTC 2011 年 12 月 21 日 (水) 13 時 2 分 53 秒 (日本時間)
4511e64000Wataru SakaiDecember 23, 2011 04:24:07 UTC 2011 年 12 月 23 日 (金) 13 時 24 分 7 秒 (日本時間)

7×10251-18×10125-79

c207

composite cofactor 合成数の残り
321109544718499067518549977117109705602463439983667934113652058293651205519736165728370951589919488212907342981915251566236373313766538369666219904269006569780948975769234775963007942894373737687190291374287<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 21, 2011 20:52:16 UTC 2011 年 12 月 22 日 (木) 5 時 52 分 16 秒 (日本時間)
4511e61000750Dmitry DomanovDecember 27, 2011 20:15:21 UTC 2011 年 12 月 28 日 (水) 5 時 15 分 21 秒 (日本時間)
250Dmitry DomanovDecember 29, 2011 20:19:51 UTC 2011 年 12 月 30 日 (金) 5 時 19 分 51 秒 (日本時間)
5043e6976 / 7317400Dmitry DomanovJanuary 2, 2012 16:06:57 UTC 2012 年 1 月 3 日 (火) 1 時 6 分 57 秒 (日本時間)
576Dmitry DomanovApril 7, 2012 20:09:59 UTC 2012 年 4 月 8 日 (日) 5 時 9 分 59 秒 (日本時間)

7×10253-18×10126-79

c223

name 名前Dmitry Domanov
date 日付January 3, 2012 22:20:13 UTC 2012 年 1 月 4 日 (水) 7 時 20 分 13 秒 (日本時間)
composite number 合成数
7173620640419230717437033999160182309043309817043812246222552936207437055322248443713670509741376354705673558701072593060274445307123184969527518431843891717096191815205657568781943784576475236209599134510555625207898025439<223>
prime factors 素因数
177557525295359693159502004920623787491<39>
40401670548664190385917407398124120537900412594864317372801459363038737348888572172383657955063154183993204737197762520874313065136022189448241123233540451552308302129215664576341590229<185>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3018561360
Step 1 took 410803ms
Step 2 took 94113ms
********** Factor found in step 2: 177557525295359693159502004920623787491
Found probable prime factor of 39 digits: 177557525295359693159502004920623787491

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 21, 2011 20:52:28 UTC 2011 年 12 月 22 日 (木) 5 時 52 分 28 秒 (日本時間)
4511e6720 / 3005Dmitry DomanovDecember 27, 2011 20:15:56 UTC 2011 年 12 月 28 日 (水) 5 時 15 分 56 秒 (日本時間)
5043e6400 / 7380Dmitry DomanovJanuary 2, 2012 16:07:20 UTC 2012 年 1 月 3 日 (火) 1 時 7 分 20 秒 (日本時間)

7×10255-18×10127-79

c228

name 名前Dmitry Domanov
date 日付December 28, 2011 06:51:13 UTC 2011 年 12 月 28 日 (水) 15 時 51 分 13 秒 (日本時間)
composite number 合成数
709043449164127548827395764345848365695806168663109754958085548192468154602148245111836431342202583623787777572938922363028873164676060800597258656404647874579088441448714213547561069756396322888832312330276839577792611027414677<228>
prime factors 素因数
2439500815893460936050444923293018594063<40>
290651039976980781859475307088591753942562548392994415010393679500089068753736684778573901971301254018196101538745128584900509551872260985124300578664306555014585599006959450732605692029979<189>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3202902461
Step 1 took 119523ms
Step 2 took 37016ms
********** Factor found in step 2: 2439500815893460936050444923293018594063
Found probable prime factor of 40 digits: 2439500815893460936050444923293018594063

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 21, 2011 20:52:41 UTC 2011 年 12 月 22 日 (木) 5 時 52 分 41 秒 (日本時間)
4511e6720 / 4409Dmitry DomanovDecember 27, 2011 20:16:23 UTC 2011 年 12 月 28 日 (水) 5 時 16 分 23 秒 (日本時間)

7×10257-18×10128-79

c256

name 名前Wataru Sakai
date 日付December 21, 2011 04:01:15 UTC 2011 年 12 月 21 日 (水) 13 時 1 分 15 秒 (日本時間)
composite number 合成数
1364522417153996101364522417153996101364522417153996101364522417153996101364522417153996101364522417153996101364522417153996101361013645224171539961013645224171539961013645224171539961013645224171539961013645224171539961013645224171539961013645224171539961<256>
prime factors 素因数
1354511402643872829400817525121155464134859<43>
1007390867652042469183184720427276627948934263581175913851767831860364728517415058149621094566044210222750196682170369807297866393057386982383125073507009723261427963275842762038892571605051535352778728722990507979<214>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1268235813
Step 1 took 37631ms
Step 2 took 11972ms
********** Factor found in step 2: 1354511402643872829400817525121155464134859
Found probable prime factor of 43 digits: 1354511402643872829400817525121155464134859
Probable prime cofactor 1007390867652042469183184720427276627948934263581175913851767831860364728517415058149621094566044210222750196682170369807297866393057386982383125073507009723261427963275842762038892571605051535352778728722990507979 has 214 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)

7×10261-18×10130-79

c202

composite cofactor 合成数の残り
1602737013224262586573571276043861338688244979341452078959004256786399309404249282876506915094492211685801382126371309467026987801551264723335673432432594937799532118969598673739280684364378054523954073<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 21, 2011 20:52:53 UTC 2011 年 12 月 22 日 (木) 5 時 52 分 53 秒 (日本時間)
4511e6750Dmitry DomanovDecember 27, 2011 20:16:49 UTC 2011 年 12 月 28 日 (水) 5 時 16 分 49 秒 (日本時間)
5043e61040 / 7368400Dmitry DomanovJanuary 2, 2012 16:07:38 UTC 2012 年 1 月 3 日 (火) 1 時 7 分 38 秒 (日本時間)
480Dmitry DomanovApril 3, 2012 21:51:23 UTC 2012 年 4 月 4 日 (水) 6 時 51 分 23 秒 (日本時間)
160Dmitry DomanovApril 5, 2012 09:22:39 UTC 2012 年 4 月 5 日 (木) 18 時 22 分 39 秒 (日本時間)
5511e70 / 17347--
6026e71 / 41883Dmitry DomanovApril 5, 2012 09:22:39 UTC 2012 年 4 月 5 日 (木) 18 時 22 分 39 秒 (日本時間)

7×10263-18×10131-79

c263

name 名前Erik Branger
date 日付October 18, 2015 21:33:29 UTC 2015 年 10 月 19 日 (月) 6 時 33 分 29 秒 (日本時間)
composite number 合成数
25925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925859259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259<263>
prime factors 素因数
463616855293291628467000965087502277253902194759013234589476946512084580763<75>
55921016740266614898292920135480538412702386375531143230080339509327066302073985791362507153201913828261984809228924934768260489629123840096310388271100276617485699379569784399239383244193<188>
factorization results 素因数分解の結果
Number: 77577_131
N = 25925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925859259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259 (263 digits)
Divisors found:
r1=463616855293291628467000965087502277253902194759013234589476946512084580763 (pp75)
r2=55921016740266614898292920135480538412702386375531143230080339509327066302073985791362507153201913828261984809228924934768260489629123840096310388271100276617485699379569784399239383244193 (pp188)
Version: Msieve v. 1.52
Total time: 20000 hours.
n: 25925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925859259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259
m: 100000000000000000000000000000000000000000000
deg: 6
c6: 7
c3: -18
c0: -70
skew: 1.47
# Murphy_E = 9.625e-14
type: snfs
lss: 1
rlim: 300000000
alim: 250000000
lpbr: 31
lpba: 31
mfbr: 62
mfba: 62
rlambda: 2.8
alambda: 2.8
type: snfs
Factor base limits: 250000000/250000000
Large primes per side: 3
Large prime bits: 31/31
Sieved algebraic special-q in [50000000, 170000000)
Relations: 200483888
Relations in full relation-set: 28497778 relations
Pruned matrix : 16966743 x 16966968
Polynomial selection time: 0.00 hours.
Total sieving time: 20000 hours.
Total relation processing time: 1.00 hours.
Matrix solve time: 249.00 hours.
time per square root: 1.00 hours.
total time: 20000 hours.
 --------- CPU info (if available) ----------

Total sieve time approximately 20 000 CPU-hours on three different computers.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
403e62400Dmitry DomanovDecember 21, 2011 04:44:30 UTC 2011 年 12 月 21 日 (水) 13 時 44 分 30 秒 (日本時間)
4511e60--
5043e61200400Dmitry DomanovJanuary 2, 2012 16:10:44 UTC 2012 年 1 月 3 日 (火) 1 時 10 分 44 秒 (日本時間)
800Dmitry DomanovJanuary 6, 2012 17:17:25 UTC 2012 年 1 月 7 日 (土) 2 時 17 分 25 秒 (日本時間)
5511e7146102610yoyo@homeOctober 13, 2012 00:31:22 UTC 2012 年 10 月 13 日 (土) 9 時 31 分 22 秒 (日本時間)
12000Serge BatalovJanuary 8, 2014 00:12:32 UTC 2014 年 1 月 8 日 (水) 9 時 12 分 32 秒 (日本時間)
6026e73000010000Serge BatalovJanuary 8, 2014 02:14:33 UTC 2014 年 1 月 8 日 (水) 11 時 14 分 33 秒 (日本時間)
10000Serge BatalovJanuary 8, 2014 23:02:17 UTC 2014 年 1 月 9 日 (木) 8 時 2 分 17 秒 (日本時間)
10000Serge BatalovJanuary 9, 2014 00:05:53 UTC 2014 年 1 月 9 日 (木) 9 時 5 分 53 秒 (日本時間)
6585e75316 / 597085300Serge BatalovJanuary 9, 2014 00:05:53 UTC 2014 年 1 月 9 日 (木) 9 時 5 分 53 秒 (日本時間)
10Alfred ReichFebruary 15, 2015 19:14:38 UTC 2015 年 2 月 16 日 (月) 4 時 14 分 38 秒 (日本時間)
6Alfred ReichFebruary 28, 2015 12:38:37 UTC 2015 年 2 月 28 日 (土) 21 時 38 分 37 秒 (日本時間)

7×10265-18×10132-79

c219

composite cofactor 合成数の残り
238213729828210932719746566889278607008934097857053043021107043793324818228286938370720474639646491141517059256354964471745125229288987762441159471902742950494558055287983600838453141881892054101663012873497376194863683<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 21, 2011 20:53:23 UTC 2011 年 12 月 22 日 (木) 5 時 53 分 23 秒 (日本時間)
4511e6720Dmitry DomanovDecember 27, 2011 20:17:32 UTC 2011 年 12 月 28 日 (水) 5 時 17 分 32 秒 (日本時間)
5043e61080 / 7380400Dmitry DomanovJanuary 2, 2012 16:07:55 UTC 2012 年 1 月 3 日 (火) 1 時 7 分 55 秒 (日本時間)
480Dmitry DomanovApril 7, 2012 20:10:43 UTC 2012 年 4 月 8 日 (日) 5 時 10 分 43 秒 (日本時間)
200Dmitry DomanovApril 8, 2012 20:43:15 UTC 2012 年 4 月 9 日 (月) 5 時 43 分 15 秒 (日本時間)

7×10267-18×10133-79

c243

composite cofactor 合成数の残り
173630624005224013770623609565643410922745826285547745953598484619242112283230624055346277825966842128588888520746187385452775249236118077491865714102618713120450296373098356118187566541503544714299657575612654324828798337244544828883436158229<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 21, 2011 20:53:43 UTC 2011 年 12 月 22 日 (木) 5 時 53 分 43 秒 (日本時間)
4511e6750Dmitry DomanovDecember 28, 2011 19:28:32 UTC 2011 年 12 月 29 日 (木) 4 時 28 分 32 秒 (日本時間)
5043e61080400Dmitry DomanovJanuary 2, 2012 16:11:08 UTC 2012 年 1 月 3 日 (火) 1 時 11 分 8 秒 (日本時間)
680Dmitry DomanovApril 7, 2012 20:11:46 UTC 2012 年 4 月 8 日 (日) 5 時 11 分 46 秒 (日本時間)
5511e72625 / 17335yoyo@homeApril 23, 2013 04:45:21 UTC 2013 年 4 月 23 日 (火) 13 時 45 分 21 秒 (日本時間)

7×10269-18×10134-79

c228

name 名前Dmitry Domanov
date 日付December 29, 2011 06:02:01 UTC 2011 年 12 月 29 日 (木) 15 時 2 分 1 秒 (日本時間)
composite number 合成数
751008567277720408764562597724594665570637069033594846465479260653827884276385587895737671267746766230059802324332513317191038230283938444302261082807935518234506906968692944022272800437163886764059487193027627726623143380298757<228>
prime factors 素因数
1669630971971238650969179146507131808547859<43>
composite cofactor 合成数の残り
449805124536619706972716698166760643528908444033189754103968623846748011706926675594909771633795402702526866665679445501768907064169575975253152220894796358745956179335965739535701222023<186>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3306747059
Step 1 took 116592ms
********** Factor found in step 1: 1669630971971238650969179146507131808547859
Found probable prime factor of 43 digits: 1669630971971238650969179146507131808547859

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 21, 2011 20:53:55 UTC 2011 年 12 月 22 日 (木) 5 時 53 分 55 秒 (日本時間)
4511e6750Dmitry DomanovDecember 28, 2011 19:29:11 UTC 2011 年 12 月 29 日 (木) 4 時 29 分 11 秒 (日本時間)
5043e61080 / 7373480Dmitry DomanovJanuary 5, 2012 22:02:14 UTC 2012 年 1 月 6 日 (金) 7 時 2 分 14 秒 (日本時間)
600Dmitry DomanovMarch 2, 2012 19:35:30 UTC 2012 年 3 月 3 日 (土) 4 時 35 分 30 秒 (日本時間)

7×10271-18×10135-79

c259

name 名前Serge Batalov
date 日付December 18, 2011 18:29:14 UTC 2011 年 12 月 19 日 (月) 3 時 29 分 14 秒 (日本時間)
composite number 合成数
6607399628500394922569528905967559283345165548608042892182141945017761621759332442053367298789596202780910168785466847006943697838438582469759645374409431305223882314416083445890511097071241841424845893179029060945946356451962470353876572191083056983407720217<259>
prime factors 素因数
965457755570938653370385502184091259818747<42>
composite cofactor 合成数の残り
6843799835232568058563453476077262748746534974924724219711927604022948985464399509900518363948085988315125512600947227039485943301709594526325405364712448125349785231005173106495860282077881566564890990755060154262011<217>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3574970489
Step 1 took 8457ms
Step 2 took 4844ms
********** Factor found in step 2: 965457755570938653370385502184091259818747
Found probable prime factor of 42 digits: 965457755570938653370385502184091259818747
Composite cofactor ((10^271*7-10^135*18-7)/9/29/40590738989)/965457755570938653370385502184091259818747 has 217 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 21, 2011 20:54:05 UTC 2011 年 12 月 22 日 (木) 5 時 54 分 5 秒 (日本時間)
4511e6720Dmitry DomanovDecember 27, 2011 20:18:00 UTC 2011 年 12 月 28 日 (水) 5 時 18 分 0 秒 (日本時間)
5043e61120 / 7380400Dmitry DomanovJanuary 5, 2012 22:03:26 UTC 2012 年 1 月 6 日 (金) 7 時 3 分 26 秒 (日本時間)
480Dmitry DomanovApril 8, 2012 20:46:00 UTC 2012 年 4 月 9 日 (月) 5 時 46 分 0 秒 (日本時間)
240Dmitry DomanovApril 9, 2012 12:50:09 UTC 2012 年 4 月 9 日 (月) 21 時 50 分 9 秒 (日本時間)

7×10273-18×10136-79

c267

composite cofactor 合成数の残り
584108883903936785400148380345336854341685506264275725427770055023891305013565094387406211931225017350119955103722300617978854757737919841402755842403084028151711768634137309145551339123855031851874659913032862716805571931465336433783289095429790237320936206381356179<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
403e62318600Serge BatalovDecember 18, 2011 22:18:50 UTC 2011 年 12 月 19 日 (月) 7 時 18 分 50 秒 (日本時間)
1718Wataru SakaiDecember 21, 2011 04:02:23 UTC 2011 年 12 月 21 日 (水) 13 時 2 分 23 秒 (日本時間)
4511e60--
5043e61200400Dmitry DomanovJanuary 2, 2012 16:11:32 UTC 2012 年 1 月 3 日 (火) 1 時 11 分 32 秒 (日本時間)
800Dmitry DomanovJanuary 6, 2012 17:18:49 UTC 2012 年 1 月 7 日 (土) 2 時 18 分 49 秒 (日本時間)
5511e72610 / 17323yoyo@homeOctober 20, 2012 06:00:16 UTC 2012 年 10 月 20 日 (土) 15 時 0 分 16 秒 (日本時間)

7×10275-18×10137-79

c244

composite cofactor 合成数の残り
1964284487304671757347493882668092690795330219706173330220094765582882917565139271078873068219573335027241773196872320251978626333718366799525342342190291698504221146076684454357584383818333188956490108705610993082102875157154142626030551434203<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2011 12:20:19 UTC 2011 年 12 月 23 日 (金) 21 時 20 分 19 秒 (日本時間)
4511e6600Dmitry DomanovDecember 28, 2011 09:41:25 UTC 2011 年 12 月 28 日 (水) 18 時 41 分 25 秒 (日本時間)
5043e61040400Dmitry DomanovJanuary 2, 2012 16:11:49 UTC 2012 年 1 月 3 日 (火) 1 時 11 分 49 秒 (日本時間)
440Dmitry DomanovApril 2, 2012 21:45:24 UTC 2012 年 4 月 3 日 (火) 6 時 45 分 24 秒 (日本時間)
200Dmitry DomanovApril 8, 2012 20:46:47 UTC 2012 年 4 月 9 日 (月) 5 時 46 分 47 秒 (日本時間)
5511e72641 / 173531Dmitry DomanovApril 8, 2012 20:46:47 UTC 2012 年 4 月 9 日 (月) 5 時 46 分 47 秒 (日本時間)
2640yoyo@homeApril 23, 2013 08:20:17 UTC 2013 年 4 月 23 日 (火) 17 時 20 分 17 秒 (日本時間)

7×10277-18×10138-79

c271

composite cofactor 合成数の残り
8918027908076535534710302322420087781422703184207344658464374198412616512442114036351665358901574146586134326648761814635222719465978296830188900393144890307619728665178884810802126924175996516363498307931604841164189939215995782537201871919537985002170265791629768326197<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
403e6600Serge BatalovDecember 18, 2011 22:18:42 UTC 2011 年 12 月 19 日 (月) 7 時 18 分 42 秒 (日本時間)
4511e6750Dmitry DomanovDecember 20, 2011 19:48:10 UTC 2011 年 12 月 21 日 (水) 4 時 48 分 10 秒 (日本時間)
5043e61080600Dmitry DomanovDecember 30, 2011 08:44:23 UTC 2011 年 12 月 30 日 (金) 17 時 44 分 23 秒 (日本時間)
480Dmitry DomanovJanuary 6, 2012 15:21:12 UTC 2012 年 1 月 7 日 (土) 0 時 21 分 12 秒 (日本時間)
5511e72620 / 17332yoyo@homeOctober 20, 2012 09:05:22 UTC 2012 年 10 月 20 日 (土) 18 時 5 分 22 秒 (日本時間)

7×10279-18×10139-79

c275

composite cofactor 合成数の残り
16429957915836367007705650262527256126613949973125283123381942537395757784866131050038610401102215462468108278116939051897542782436844415339525080330758524214237262675125747856477276194633975744687842535283334624258598149047883938777282531903457567286545507462721599057389843<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6618118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
500Serge BatalovDecember 18, 2011 18:46:51 UTC 2011 年 12 月 19 日 (月) 3 時 46 分 51 秒 (日本時間)
403e6600Serge BatalovDecember 18, 2011 22:17:58 UTC 2011 年 12 月 19 日 (月) 7 時 17 分 58 秒 (日本時間)
4511e6480Dmitry DomanovDecember 20, 2011 19:47:22 UTC 2011 年 12 月 21 日 (水) 4 時 47 分 22 秒 (日本時間)
5043e61200Dmitry DomanovDecember 30, 2011 08:38:49 UTC 2011 年 12 月 30 日 (金) 17 時 38 分 49 秒 (日本時間)
5511e72590 / 17306yoyo@homeOctober 20, 2012 15:35:22 UTC 2012 年 10 月 21 日 (日) 0 時 35 分 22 秒 (日本時間)

7×10281-18×10140-79

c265

composite cofactor 合成数の残り
1564064560608349403293834851844720835178950830243902202249107373577944655357965661680391176041352863591309336439728285068797792273184200741097619561989448975190144987302935512591461279027248043905780796717390912580770133736998369813212249591150767165679173925525193<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2011 12:20:34 UTC 2011 年 12 月 23 日 (金) 21 時 20 分 34 秒 (日本時間)
4511e6600Dmitry DomanovDecember 28, 2011 09:41:41 UTC 2011 年 12 月 28 日 (水) 18 時 41 分 41 秒 (日本時間)
5043e61040600Dmitry DomanovDecember 30, 2011 08:43:58 UTC 2011 年 12 月 30 日 (金) 17 時 43 分 58 秒 (日本時間)
440Dmitry DomanovApril 4, 2012 09:31:54 UTC 2012 年 4 月 4 日 (水) 18 時 31 分 54 秒 (日本時間)
5511e72641 / 173531Dmitry DomanovApril 4, 2012 09:31:54 UTC 2012 年 4 月 4 日 (水) 18 時 31 分 54 秒 (日本時間)
2640yoyo@homeOctober 20, 2012 19:00:28 UTC 2012 年 10 月 21 日 (日) 4 時 0 分 28 秒 (日本時間)

7×10285-18×10142-79

c247

name 名前Dmitry Domanov
date 日付December 23, 2011 13:05:42 UTC 2011 年 12 月 23 日 (金) 22 時 5 分 42 秒 (日本時間)
composite number 合成数
1410551062398023110975008867062728799470968131201467650000479201755752630400725972834729434632252156684005112109713711359772647542188795142810519962856925350887658374415603647065905730132954390790571161922924478463002343207831567023423548149521283<247>
prime factors 素因数
14148248232764846561364062665792650355937<41>
99697930032881083536691856030757016155378941177111365332885280534562091481002478545234534328956134865081252691439984309082226976482610457227095492586581445515570959669466745477006499485566333604555059833059<206>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3550119327
Step 1 took 111732ms
Step 2 took 37728ms
********** Factor found in step 2: 14148248232764846561364062665792650355937
Found probable prime factor of 41 digits: 14148248232764846561364062665792650355937

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
403e61000 / 2318Dmitry DomanovDecember 23, 2011 12:20:51 UTC 2011 年 12 月 23 日 (金) 21 時 20 分 51 秒 (日本時間)

7×10287-18×10143-79

c286

name 名前Serge Batalov
date 日付December 18, 2011 18:23:27 UTC 2011 年 12 月 19 日 (月) 3 時 23 分 27 秒 (日本時間)
composite number 合成数
8641975308641975308641975308641975308641975308641975308641975308641975308641975308641975308641975308641975308641975308641975308641975308641975286419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753<286>
prime factors 素因数
20810426545714688354318018376173<32>
415271416453573016536238361398913335325841827858004945829845639631666609680600950643209365339590440843012773681097350919920280879571839934367449094896822043563599422442322425109147852463607119175899698048132165974659877753534721553330891408460279711948461<255>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3041223579
Step 1 took 9388ms
Step 2 took 5288ms
********** Factor found in step 2: 20810426545714688354318018376173
Found probable prime factor of 32 digits: 20810426545714688354318018376173
Probable prime cofactor ((10^287*7-10^143*18-7)/9/3^2)/20810426545714688354318018376173 has 255 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)

7×10289-18×10144-79

c284

name 名前zlodeck
date 日付October 22, 2012 01:54:01 UTC 2012 年 10 月 22 日 (月) 10 時 54 分 1 秒 (日本時間)
composite number 合成数
12622021135394076629732829678627113579978445194192499886852596250574527354894991095164088979478937723488661728571369325206915497191329825493345216425288543911019799803925917391035443897550300106583952759020552797643937471949811958932270775531238330265280624494330278263274805021328511<284>
prime factors 素因数
30587987887151503138331646430502514386668539327547<50>
412646336266399588389748542486124028055393086798598881665060650803419915874243096701855372357653807360493223116057828988845062760399761100144099534815911637596178231951277588598733137065191971922214169379353735613133949009466335363213<234>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 12622021135394076629732829678627113579978445194192499886852596250574527354894991095164088979478937723488661728571369325206915497191329825493345216425288543911019799803925917391035443897550300106583952759020552797643937471949811958932270775531238330265280624494330278263274805021328511 (284 digits)
[Sun Oct 21 14:30:02 2012]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=3834831142
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35       40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 1580633ms
Using 33 small primes for NTT
Estimated memory usage: 954M
Initializing tables of differences for F took 1014ms
Computing roots of F took 40046ms
Building F from its roots took 20046ms
Computing 1/F took 9875ms
Initializing table of differences for G took 858ms
Found factor while computing G[]
Computing roots of G took 33103ms
Step 2 took 105488ms
********** Factor found in step 2: 30587987887151503138331646430502514386668539327547
Found probable prime factor of 50 digits: 30587987887151503138331646430502514386668539327547
Probable prime cofactor 412646336266399588389748542486124028055393086798598881665060650803419915874243096701855372357653807360493223116057828988845062760399761100144099534815911637596178231951277588598733137065191971922214169379353735613133949009466335363213 has 234 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 KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
403e6600Serge BatalovDecember 18, 2011 22:17:47 UTC 2011 年 12 月 19 日 (月) 7 時 17 分 47 秒 (日本時間)
4511e6520Dmitry DomanovDecember 19, 2011 11:45:20 UTC 2011 年 12 月 19 日 (月) 20 時 45 分 20 秒 (日本時間)
5043e61040 / 4954480Dmitry DomanovDecember 20, 2011 19:42:41 UTC 2011 年 12 月 21 日 (水) 4 時 42 分 41 秒 (日本時間)
560Dmitry DomanovDecember 25, 2011 21:22:57 UTC 2011 年 12 月 26 日 (月) 6 時 22 分 57 秒 (日本時間)
5511e71020 / 1736130Dmitry DomanovJanuary 6, 2012 15:17:55 UTC 2012 年 1 月 7 日 (土) 0 時 17 分 55 秒 (日本時間)
990yoyo@homeOctober 20, 2012 23:10:27 UTC 2012 年 10 月 21 日 (日) 8 時 10 分 27 秒 (日本時間)

7×10291-18×10145-79

c288

name 名前MicroKraken
date 日付October 23, 2012 01:19:27 UTC 2012 年 10 月 23 日 (火) 10 時 19 分 27 秒 (日本時間)
composite number 合成数
394210733795123050064763191980627358224925381539674494565523455538660809821478853409922847327814383060201610632426648645604550318184377991777890399279157515346060708453004448949709973531565016613166638508757109872163090612152953764712507743425128118488483414991271048037393703891423100749<288>
prime factors 素因数
1495657504292748453169529601114842394919501996241<49>
263570190811521034165247396998819174395635747890720867832089458213293650703106232356553404833346174990592524509335220458231902701384044833009329746531322631320734826215034543159534742844966241634523086218547651287465741716903633061660243389<240>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 394210733795123050064763191980627358224925381539674494565523455538660809821478853409922847327814383060201610632426648645604550318184377991777890399279157515346060708453004448949709973531565016613166638508757109872163090612152953764712507743425128118488483414991271048037393703891423100749 (288 digits)
[Mon Oct 22 02:35:39 2012]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=2410726391
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35   40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 716203ms
Using 34 small primes for NTT
Estimated memory usage: 961M
Initializing tables of differences for F took 468ms
Computing roots of F took 20094ms
Building F from its roots took 15984ms
Computing 1/F took 6938ms
Initializing table of differences for G took 390ms
Computing roots of G took 16985ms
Building G from its roots took 15375ms
Computing roots of G took 16984ms
Building G from its roots took 15297ms
Computing G * H took 3844ms
Reducing  G * H mod F took 3844ms
Computing roots of G took 17000ms
Building G from its roots took 15172ms
Computing G * H took 3922ms
Reducing  G * H mod F took 3828ms
Computing roots of G took 16985ms
Building G from its roots took 15406ms
Computing G * H took 3968ms
Reducing  G * H mod F took 3875ms
Computing polyeval(F,G) took 30203ms
Computing product of all F(g_i) took 140ms
Step 2 took 227687ms
********** Factor found in step 2: 1495657504292748453169529601114842394919501996241
Found probable prime factor of 49 digits: 1495657504292748453169529601114842394919501996241
Probable prime cofactor 263570190811521034165247396998819174395635747890720867832089458213293650703106232356553404833346174990592524509335220458231902701384044833009329746531322631320734826215034543159534742844966241634523086218547651287465741716903633061660243389 has 240 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
351e6618118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
500Serge BatalovDecember 18, 2011 18:30:53 UTC 2011 年 12 月 19 日 (月) 3 時 30 分 53 秒 (日本時間)
403e6600Serge BatalovDecember 18, 2011 22:17:37 UTC 2011 年 12 月 19 日 (月) 7 時 17 分 37 秒 (日本時間)
4511e6480Dmitry DomanovDecember 19, 2011 11:40:08 UTC 2011 年 12 月 19 日 (月) 20 時 40 分 8 秒 (日本時間)
5043e61040 / 3201480Dmitry DomanovDecember 20, 2011 19:41:48 UTC 2011 年 12 月 21 日 (水) 4 時 41 分 48 秒 (日本時間)
540Dmitry DomanovDecember 25, 2011 21:21:36 UTC 2011 年 12 月 26 日 (月) 6 時 21 分 36 秒 (日本時間)
20Dmitry DomanovDecember 25, 2011 21:22:31 UTC 2011 年 12 月 26 日 (月) 6 時 22 分 31 秒 (日本時間)
5511e71750 / 1736330Dmitry DomanovJanuary 5, 2012 22:05:18 UTC 2012 年 1 月 6 日 (金) 7 時 5 分 18 秒 (日本時間)
1720yoyo@homeOctober 21, 2012 02:30:54 UTC 2012 年 10 月 21 日 (日) 11 時 30 分 54 秒 (日本時間)

7×10293-18×10146-79

c288

name 名前Serge Batalov
date 日付December 18, 2011 18:27:13 UTC 2011 年 12 月 19 日 (月) 3 時 27 分 13 秒 (日本時間)
composite number 合成数
689500968748861092149834470517431076990663171881756493867873884362807529744579291133904043135180604928749924893644475570488176535888032922686256372417203246170560869638021841420687196065510472042213219309573129950247580097850037479302658420235080430288004554646399278190985858335130960859<288>
prime factors 素因数
181664698767637105999757777<27>
composite cofactor 合成数の残り
3795459290804676350584303688017863360635819553736656103741515023954736207206649995554019442244626250930843849633463276416733910844131808181237218668161600374481669744442339237955402832649895145064896816049745181867584923698535468180590525137165145314492563327467<262>
factorization results 素因数分解の結果
Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=702297404
Step 1 took 2356ms
Step 2 took 948ms
********** Factor found in step 2: 181664698767637105999757777
Found probable prime factor of 27 digits: 181664698767637105999757777
Composite cofactor ((10^293*7-10^146*18-7)/9/3/19/1979)/181664698767637105999757777 has 262 digits

c262

name 名前Dmitry Domanov
date 日付December 25, 2011 08:47:43 UTC 2011 年 12 月 25 日 (日) 17 時 47 分 43 秒 (日本時間)
composite number 合成数
3795459290804676350584303688017863360635819553736656103741515023954736207206649995554019442244626250930843849633463276416733910844131808181237218668161600374481669744442339237955402832649895145064896816049745181867584923698535468180590525137165145314492563327467<262>
prime factors 素因数
8344414754068666747100267735967251663<37>
composite cofactor 合成数の残り
454850268433030871158603469403355745053487255499543397745002289671945599770458276970262201411861394714119153967485046597170256965392633299396869437740657326113399564703928168212298256803297908051676761265398527559866248937509<225>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2091038505
Step 1 took 127403ms
Step 2 took 41864ms
********** Factor found in step 2: 8344414754068666747100267735967251663
Found probable prime factor of 37 digits: 8344414754068666747100267735967251663

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2011 12:21:19 UTC 2011 年 12 月 23 日 (金) 21 時 21 分 19 秒 (日本時間)
4511e6750Dmitry DomanovDecember 28, 2011 19:29:41 UTC 2011 年 12 月 29 日 (木) 4 時 29 分 41 秒 (日本時間)
5043e61100 / 7347300Dmitry DomanovDecember 30, 2011 08:43:17 UTC 2011 年 12 月 30 日 (金) 17 時 43 分 17 秒 (日本時間)
400Dmitry DomanovJanuary 15, 2012 20:43:59 UTC 2012 年 1 月 16 日 (月) 5 時 43 分 59 秒 (日本時間)
400Dmitry DomanovApril 8, 2012 20:49:39 UTC 2012 年 4 月 9 日 (月) 5 時 49 分 39 秒 (日本時間)

7×10295-18×10147-79

c280

name 名前Serge Batalov
date 日付December 18, 2011 18:28:01 UTC 2011 年 12 月 19 日 (月) 3 時 28 分 1 秒 (日本時間)
composite number 合成数
1152468628704914320246004414830030532895860803824197631455398829261080196775764624540359495070254548227981606022582347050477601079678920332735829366386353123615682258184465094135550957872037866808700441978198572591399397121788519163409390957854596739181692298885399989185102110607<280>
prime factors 素因数
6540367236337239679386672043999002993523<40>
composite cofactor 合成数の残り
176208550232773168589139708650850561939831117550385466486068008906656849914281632192602777387256033961271889734657829694082190888536818159590844149852814365275987222262645387395043054873621213760525449619020191478344369851447194043652744309<240>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3326611990
Step 1 took 9608ms
Step 2 took 5276ms
********** Factor found in step 2: 6540367236337239679386672043999002993523
Found probable prime factor of 40 digits: 6540367236337239679386672043999002993523
Composite cofactor ((10^295*7-10^147*18-7)/9/1091/5531/1118402191)/6540367236337239679386672043999002993523 has 240 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2011 12:21:32 UTC 2011 年 12 月 23 日 (金) 21 時 21 分 32 秒 (日本時間)
4511e6750Dmitry DomanovDecember 28, 2011 19:30:11 UTC 2011 年 12 月 29 日 (木) 4 時 30 分 11 秒 (日本時間)
5043e61020300Dmitry DomanovDecember 30, 2011 08:43:01 UTC 2011 年 12 月 30 日 (金) 17 時 43 分 1 秒 (日本時間)
720Dmitry DomanovApril 8, 2012 20:50:13 UTC 2012 年 4 月 9 日 (月) 5 時 50 分 13 秒 (日本時間)
5511e72635 / 17351yoyo@homeApril 23, 2013 12:00:07 UTC 2013 年 4 月 23 日 (火) 21 時 0 分 7 秒 (日本時間)

7×10297-18×10148-79

c228

composite cofactor 合成数の残り
269396911800419305032281661125791930714059710767135211801502279547291218855641739911009543124655748355163760628801607053300605941837915695637093901632011717428866076854879490061737341264904989916688166593452420814109241825962123<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2011 12:21:43 UTC 2011 年 12 月 23 日 (金) 21 時 21 分 43 秒 (日本時間)
4511e6750Dmitry DomanovDecember 28, 2011 19:30:41 UTC 2011 年 12 月 29 日 (木) 4 時 30 分 41 秒 (日本時間)
5043e61000 / 7347300Dmitry DomanovDecember 30, 2011 08:42:39 UTC 2011 年 12 月 30 日 (金) 17 時 42 分 39 秒 (日本時間)
440Dmitry DomanovApril 8, 2012 20:50:47 UTC 2012 年 4 月 9 日 (月) 5 時 50 分 47 秒 (日本時間)
260Dmitry DomanovApril 9, 2012 12:48:38 UTC 2012 年 4 月 9 日 (月) 21 時 48 分 38 秒 (日本時間)

7×10299-18×10149-79

c251

composite cofactor 合成数の残り
66944472868070008451800615185551921206707076070558662192141516781324673214029492349961625514946383545938087201640837528312806060840870342024206895635159788261093094603644844902009019866860222483639579005084317179617052394696373047269524374010656863141<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2011 12:21:55 UTC 2011 年 12 月 23 日 (金) 21 時 21 分 55 秒 (日本時間)
4511e6750Dmitry DomanovDecember 28, 2011 19:31:08 UTC 2011 年 12 月 29 日 (木) 4 時 31 分 8 秒 (日本時間)
5043e61050300Dmitry DomanovDecember 30, 2011 08:42:11 UTC 2011 年 12 月 30 日 (金) 17 時 42 分 11 秒 (日本時間)
750Dmitry DomanovApril 8, 2012 15:14:15 UTC 2012 年 4 月 9 日 (月) 0 時 14 分 15 秒 (日本時間)
5511e72625 / 17317yoyo@homeOctober 28, 2012 10:30:47 UTC 2012 年 10 月 28 日 (日) 19 時 30 分 47 秒 (日本時間)
6026e710 / 40889Alfred ReichFebruary 16, 2015 07:08:40 UTC 2015 年 2 月 16 日 (月) 16 時 8 分 40 秒 (日本時間)

7×10301-18×10150-79

c191

name 名前Wataru Sakai
date 日付December 24, 2011 03:52:00 UTC 2011 年 12 月 24 日 (土) 12 時 52 分 0 秒 (日本時間)
composite number 合成数
14213034448490983706006317128994037912980004129172553126619395656836661296224769902443217678870095477427324908419786465526868328184305638060896252404304538334676935081342502260205607665946229<191>
prime factors 素因数
366600755376976082426541814010373890830079<42>
38769790405575405872839440658258089104586532854521962612276856043093133938527941150272069401647143890393089976145749736377225883615247338800554931851<149>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=536271301
Step 1 took 57937ms
Step 2 took 21205ms
********** Factor found in step 2: 366600755376976082426541814010373890830079
Found probable prime factor of 42 digits: 366600755376976082426541814010373890830079
Probable prime cofactor 38769790405575405872839440658258089104586532854521962612276856043093133938527941150272069401647143890393089976145749736377225883615247338800554931851 has 149 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 18, 2011 15:00:00 UTC 2011 年 12 月 19 日 (月) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 18, 2011 20:27:21 UTC 2011 年 12 月 19 日 (月) 5 時 27 分 21 秒 (日本時間)
4511e6420 / 4254Dmitry DomanovDecember 19, 2011 08:54:29 UTC 2011 年 12 月 19 日 (月) 17 時 54 分 29 秒 (日本時間)