Table of contents 目次

10173+179

c162

name 名前Wataru Sakai
date 日付April 29, 2008 07:09:18 UTC 2008 年 4 月 29 日 (火) 16 時 9 分 18 秒 (日本時間)
composite number 合成数
633865905488829556896400642079141824365163309702470659600118424221394547036781255642529888084966541508328054517246866001820594204902217663114060440336321276179921<162>
prime factors 素因数
614269433286889380330990067993202633882411638463<48>
1031902079348278117543760295595941783929099708583219958186262256627756188911338017448835857763642355585371803328367<115>
factorization results 素因数分解の結果
Number: 11113_173
N=633865905488829556896400642079141824365163309702470659600118424221394547036781255642529888084966541508328054517246866001820594204902217663114060440336321276179921
  ( 162 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=614269433286889380330990067993202633882411638463 (pp48)
 r2=1031902079348278117543760295595941783929099708583219958186262256627756188911338017448835857763642355585371803328367 (pp115)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 188.18 hours.
Scaled time: 379.19 units (timescale=2.015).
Factorization parameters were as follows:
n: 633865905488829556896400642079141824365163309702470659600118424221394547036781255642529888084966541508328054517246866001820594204902217663114060440336321276179921
m: 10000000000000000000000000000000000
c5: 1000
c0: 17
skew: 0.44
type: snfsFactor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 10100001)
Primes: RFBsize:501962, AFBsize:502426, largePrimes:6671675 encountered
Relations: rels:7329088, finalFF:1319979
Max relations in full relation-set: 32
Initial matrix: 1004454 x 1319979 with sparse part having weight 79827464.
Pruned matrix : 724483 x 729569 with weight 58377937.
Total sieving time: 184.22 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 3.67 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 188.18 hours.
 --------- CPU info (if available) ----------

10174+179

c162

name 名前Wataru Sakai
date 日付July 4, 2008 12:28:53 UTC 2008 年 7 月 4 日 (金) 21 時 28 分 53 秒 (日本時間)
composite number 合成数
294040798693613020978721557691027645861505411458095217132747791724995390273507246425889611518903150754520207364042759151086227684121488178193073709170363929095423<162>
prime factors 素因数
7316041903847007779820595674552294686019937425938604329901433463<64>
40191240367144016302815181110516174673310246906156873550846174801629866981184855893817082957652921<98>
factorization results 素因数分解の結果
Number: 11113_174
N=294040798693613020978721557691027645861505411458095217132747791724995390273507246425889611518903150754520207364042759151086227684121488178193073709170363929095423
  ( 162 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=7316041903847007779820595674552294686019937425938604329901433463 (pp64)
 r2=40191240367144016302815181110516174673310246906156873550846174801629866981184855893817082957652921 (pp98)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 194.34 hours.
Scaled time: 352.33 units (timescale=1.813).
Factorization parameters were as follows:
n: 294040798693613020978721557691027645861505411458095217132747791724995390273507246425889611518903150754520207364042759151086227684121488178193073709170363929095423
m: 100000000000000000000000000000000000
c5: 1
c0: 170
skew: 2.79
type: snfs
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 10100001)
Primes: RFBsize:501962, AFBsize:502431, largePrimes:6427815 encountered
Relations: rels:6885252, finalFF:1141474
Max relations in full relation-set: 32
Initial matrix: 1004457 x 1141474 with sparse part having weight 68636874.
Pruned matrix : 885866 x 890952 with weight 51307737.
Total sieving time: 187.27 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 6.75 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 194.34 hours.
 --------- CPU info (if available) ----------

10176+179

c161

name 名前suberi
date 日付April 30, 2007 07:14:40 UTC 2007 年 4 月 30 日 (月) 16 時 14 分 40 秒 (日本時間)
composite number 合成数
67693057680260064374474053316529172675201274394345224577395203297962141826802647514115798075335704075315438645817601122073256990628353242030163889411002801004389<161>
prime factors 素因数
43731936268508244866927446133249317<35>
composite cofactor 合成数の残り
1547908998692254006817668407385442013503701471074265130054570365447559543406277463390309132007591482864040879451770914663198017<127>
factorization results 素因数分解の結果
Input number is 67693057680260064374474053316529172675201274394345224577395203297962141826802647514115798075335704075315438645817601122073256990628353242030163889411002801004389 (161 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3554299871
Step 1 took 71885ms
Step 2 took 30311ms
********** Factor found in step 2: 43731936268508244866927446133249317
Found probable prime factor of 35 digits: 43731936268508244866927446133249317
Composite cofactor 1547908998692254006817668407385442013503701471074265130054570365447559543406277463390309132007591482864040879451770914663198017 has 127 digits
software ソフトウェア
GMP-ECM 6.1.2
execution environment 実行環境
Sempron 3400+ 1.80GHz, Windows Vista

c127

name 名前Justin Card
date 日付October 9, 2008 04:09:20 UTC 2008 年 10 月 9 日 (木) 13 時 9 分 20 秒 (日本時間)
composite number 合成数
1547908998692254006817668407385442013503701471074265130054570365447559543406277463390309132007591482864040879451770914663198017<127>
prime factors 素因数
710124167792898446935804545868140581401807318057<48>
2179772311514524087931982060767986518870830842019718570624060123823472397032281<79>
factorization results 素因数分解の結果
Msieve v. 1.38
Wed Oct  8 17:36:45 2008
random seeds: 52413acf cf6c524a
factoring 1547908998692254006817668407385442013503701471074265130054570365447559543406277463390309132007591482864040879451770914663198017 (127 digits)
no P-1/P+1/ECM available, skipping
commencing number field sieve (127-digit input)
R0: -100000000000000000000000000000
R1:  1
A0:  17
A1:  0
A2:  0
A3:  0
A4:  0
A5:  0
A6:  100
size score = 8.015950e-09, Murphy alpha = -1.265032, combined = 1.150603e-08

commencing relation filtering
commencing duplicate removal, pass 1
error -15 reading relation 30050
error -11 reading relation 57741
error -15 reading relation 3597789
error -15 reading relation 5167541
error -11 reading relation 9339118
found 958927 hash collisions in 10721948 relations
commencing duplicate removal, pass 2
found 835100 duplicates and 9886848 unique relations
memory use: 50.6 MB
reading rational ideals above 4915200
reading algebraic ideals above 4915200
commencing singleton removal, pass 1
relations with 0 large ideals: 137456
relations with 1 large ideals: 871545
relations with 2 large ideals: 2638586
relations with 3 large ideals: 3621314
relations with 4 large ideals: 1942464
relations with 5 large ideals: 82128
relations with 6 large ideals: 1244
relations with 7+ large ideals: 592111
9886848 relations and about 10243474 large ideals
commencing singleton removal, pass 2
found 3672509 singletons
current dataset: 6214339 relations and about 5185675 large ideals
commencing singleton removal, pass 3
found 1055209 singletons
current dataset: 5159130 relations and about 4059385 large ideals
commencing singleton removal, pass 4
found 268425 singletons
current dataset: 4890705 relations and about 3784822 large ideals
commencing singleton removal, final pass
memory use: 85.6 MB
commencing in-memory singleton removal
begin with 4890705 relations and 3998829 unique ideals
reduce to 4317250 relations and 3413986 ideals in 15 passes
max relations containing the same ideal: 55
reading rational ideals above 720000
reading algebraic ideals above 720000
commencing singleton removal, final pass
keeping 3681423 ideals with weight <= 20, new excess is 429104
memory use: 127.8 MB
commencing in-memory singleton removal
begin with 4318889 relations and 3681423 unique ideals
reduce to 4317135 relations and 3669929 ideals in 5 passes
max relations containing the same ideal: 20
removing 561927 relations and 487204 ideals in 74723 cliques
commencing in-memory singleton removal
begin with 3755208 relations and 3669929 unique ideals
reduce to 3697378 relations and 3123500 ideals in 8 passes
max relations containing the same ideal: 20
removing 423906 relations and 349183 ideals in 74723 cliques
commencing in-memory singleton removal
begin with 3273472 relations and 3123500 unique ideals
reduce to 3236125 relations and 2736235 ideals in 7 passes
max relations containing the same ideal: 20
relations with 0 large ideals: 38894
relations with 1 large ideals: 235104
relations with 2 large ideals: 678797
relations with 3 large ideals: 1034849
relations with 4 large ideals: 822119
relations with 5 large ideals: 323075
relations with 6 large ideals: 64340
relations with 7+ large ideals: 38947
commencing 2-way merge
reduce to 2013829 relation sets and 1513939 unique ideals
commencing full merge
memory use: 138.3 MB
found 969439 cycles, need 902139
weight of 902139 cycles is about 63203125 (70.06/cycle)
distribution of cycle lengths:
1 relations: 102303
2 relations: 96867
3 relations: 98547
4 relations: 92829
5 relations: 85292
6 relations: 77434
7 relations: 67639
8 relations: 58867
9 relations: 51014
10+ relations: 171347
heaviest cycle: 18 relations
commencing cycle optimization
start with 5307933 relations
pruned 150799 relations
memory use: 173.8 MB
distribution of cycle lengths:
1 relations: 102303
2 relations: 99276
3 relations: 102677
4 relations: 96095
5 relations: 88079
6 relations: 79370
7 relations: 68613
8 relations: 59191
9 relations: 51176
10+ relations: 155359
heaviest cycle: 18 relations
elapsed time 00:14:12
justin@riall:~/factoring_projects/11113_176$ ~/ggnfs/msieve -nc2 -nf 11113_176.fb -s 11113_176.dat -v -i 11113_176.ini 


Msieve v. 1.38
Wed Oct  8 18:53:11 2008
random seeds: 6da1b961 3bdc077b
factoring 1547908998692254006817668407385442013503701471074265130054570365447559543406277463390309132007591482864040879451770914663198017 (127 digits)
no P-1/P+1/ECM available, skipping
commencing number field sieve (127-digit input)
R0: -100000000000000000000000000000
R1:  1
A0:  17
A1:  0
A2:  0
A3:  0
A4:  0
A5:  0
A6:  100
size score = 8.015950e-09, Murphy alpha = -1.265032, combined = 1.150603e-08

commencing linear algebra
read 902139 cycles
cycles contain 2879140 unique relations
read 2879140 relations
using 32 quadratic characters above 134217324
building initial matrix
memory use: 356.1 MB
read 902139 cycles
matrix is 901831 x 902139 (268.9 MB) with weight 86502896 (95.89/col)
sparse part has weight 60564938 (67.13/col)
filtering completed in 3 passes
matrix is 895277 x 895477 (267.8 MB) with weight 86093846 (96.14/col)
sparse part has weight 60354117 (67.40/col)
read 895477 cycles
matrix is 895277 x 895477 (267.8 MB) with weight 86093846 (96.14/col)
sparse part has weight 60354117 (67.40/col)
saving the first 48 matrix rows for later
matrix is 895229 x 895477 (258.7 MB) with weight 67221065 (75.07/col)
sparse part has weight 58856479 (65.73/col)
matrix includes 64 packed rows
using block size 10922 for processor cache size 256 kB
commencing Lanczos iteration
memory use: 247.2 MB
linear algebra completed 894740 of 895477 dimensions (99.9%, ETA 0h 0m)    
lanczos halted after 14159 iterations (dim = 895225)
recovered 50 nontrivial dependencies
elapsed time 03:47:21
justin@riall:~/factoring_projects/11113_176$ ~/ggnfs/msieve -nc3 -nf 11113_176.fb -s 11113_176.dat -v -i 11113_176.ini 


Msieve v. 1.38
Wed Oct  8 23:20:44 2008
random seeds: ddd9cea2 c865422e
factoring 1547908998692254006817668407385442013503701471074265130054570365447559543406277463390309132007591482864040879451770914663198017 (127 digits)
no P-1/P+1/ECM available, skipping
commencing number field sieve (127-digit input)
R0: -100000000000000000000000000000
R1:  1
A0:  17
A1:  0
A2:  0
A3:  0
A4:  0
A5:  0
A6:  100
size score = 8.015950e-09, Murphy alpha = -1.265032, combined = 1.150603e-08

commencing square root phase
reading relations for dependency 1
read 447370 cycles
cycles contain 1763729 unique relations
read 1763729 relations
multiplying 1435668 relations
multiply complete, coefficients have about 41.54 million bits
initial square root is modulo 919693
reading relations for dependency 2
read 447432 cycles
cycles contain 1761594 unique relations
read 1761594 relations
multiplying 1433372 relations
multiply complete, coefficients have about 41.47 million bits
initial square root is modulo 899161
prp48 factor: 710124167792898446935804545868140581401807318057
prp79 factor: 2179772311514524087931982060767986518870830842019718570624060123823472397032281
elapsed time 00:26:34

Sieve time: 51.75 hours
Filtering: 0.25 hours
Block Lanczos: 3.78 hours
Square root: 0.5 hours

Had to manually restart the filtering/linalg/sqrt, so all I had were the newest run times and the time spent sieving
software ソフトウェア
msieve 1.38, ggnfs
execution environment 実行環境
Athlon 64 X2 3600, 3 GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Justin CardSeptember 24, 2008 01:54:43 UTC 2008 年 9 月 24 日 (水) 10 時 54 分 43 秒 (日本時間)
255e4214Justin CardSeptember 24, 2008 01:56:37 UTC 2008 年 9 月 24 日 (水) 10 時 56 分 37 秒 (日本時間)

10178+179

c142

name 名前suberi
date 日付May 19, 2007 10:06:16 UTC 2007 年 5 月 19 日 (土) 19 時 6 分 16 秒 (日本時間)
composite number 合成数
3977600953998260770320210578419390064769131876240986049018656139170844673200319498989796345615376057172486277309982985080134888904647896152753<142>
prime factors 素因数
297082579660968821734851624509405183<36>
composite cofactor 合成数の残り
13388873082149435308539000672775350680618901926900711188810262897346981830451724894509157440592356995091791<107>
factorization results 素因数分解の結果
Input number is 3977600953998260770320210578419390064769131876240986049018656139170844673200319498989796345615376057172486277309982985080134888904647896152753 (142 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3577380463
Step 1 took 227094ms
Step 2 took 134281ms
********** Factor found in step 2: 297082579660968821734851624509405183
Found probable prime factor of 36 digits: 297082579660968821734851624509405183
Composite cofactor 13388873082149435308539000672775350680618901926900711188810262897346981830451724894509157440592356995091791 has 107 digits
software ソフトウェア
GMP-ECM 6.1.2
execution environment 実行環境
Pentium 4 2.26GHz, Windows XP

c107

name 名前Jo Yeong Uk
date 日付May 22, 2007 02:45:38 UTC 2007 年 5 月 22 日 (火) 11 時 45 分 38 秒 (日本時間)
composite number 合成数
13388873082149435308539000672775350680618901926900711188810262897346981830451724894509157440592356995091791<107>
prime factors 素因数
6351389277783512750660674500861871<34>
2108022748500441599748310376090833021700915012375759080181462532721767521<73>
factorization results 素因数分解の結果
Number: 11113_178
N=13388873082149435308539000672775350680618901926900711188810262897346981830451724894509157440592356995091791
  ( 107 digits)
Divisors found:
 r1=6351389277783512750660674500861871 (pp34)
 r2=2108022748500441599748310376090833021700915012375759080181462532721767521 (pp73)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 10.91 hours.
Scaled time: 10.20 units (timescale=0.935).
Factorization parameters were as follows:
name: 11113_178
n: 13388873082149435308539000672775350680618901926900711188810262897346981830451724894509157440592356995091791
skew: 24447.50
# norm 1.03e+15
c5: 11040
c4: 634721972
c3: -57395841951390
c2: -297909801429328773
c1: 7360634883314650193640
c0: 44733769501169737130602075
# alpha -6.20
Y1: 59180280269
Y0: -261068129944292921856
# Murphy_E 1.60e-09
# M 1848511566881534751075889082385374038136846422142820742013036141739596195580891966762660131878038833277554
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 60000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [900000, 1440001)
Primes: RFBsize:135072, AFBsize:135129, largePrimes:4628918 encountered
Relations: rels:4758229, finalFF:429445
Max relations in full relation-set: 28
Initial matrix: 270283 x 429445 with sparse part having weight 42261017.
Pruned matrix : 196380 x 197795 with weight 17946254.
Total sieving time: 10.57 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,49,49,2.6,2.6,60000
total time: 10.91 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676)
Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148)
Total of 4 processors activated (19246.21 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

10179+179

c136

name 名前Justin Card
date 日付October 29, 2008 11:19:14 UTC 2008 年 10 月 29 日 (水) 20 時 19 分 14 秒 (日本時間)
composite number 合成数
2375078684637490748471009799403460903791906373419845536550774278476483193823770338103403225837841896931094354587473006789445556151466577<136>
prime factors 素因数
64359895320324138046847817077342166028615808217898933063<56>
36903084954015880064848993395715905165599046095682487205693219081526100375034279<80>
factorization results 素因数分解の結果
Tue Oct 28 18:11:06 2008  Msieve v. 1.38
Tue Oct 28 18:11:06 2008  random seeds: d81d15f7 8c4cc99f
Tue Oct 28 18:11:06 2008  factoring 2375078684637490748471009799403460903791906373419845536550774278476483193823770338103403225837841896931094354587473006789445556151466577 (136 digits)
Tue Oct 28 18:11:07 2008  no P-1/P+1/ECM available, skipping
Tue Oct 28 18:11:07 2008  commencing number field sieve (136-digit input)
Tue Oct 28 18:11:07 2008  R0: -1000000000000000000000000000000000000
Tue Oct 28 18:11:07 2008  R1:  1
Tue Oct 28 18:11:07 2008  A0:  170
Tue Oct 28 18:11:07 2008  A1:  0
Tue Oct 28 18:11:07 2008  A2:  0
Tue Oct 28 18:11:07 2008  A3:  0
Tue Oct 28 18:11:07 2008  A4:  0
Tue Oct 28 18:11:07 2008  A5:  1
Tue Oct 28 18:11:07 2008  size score = 2.613876e-12, Murphy alpha = 0.851423, combined = 1.968017e-12
Tue Oct 28 18:11:07 2008
Tue Oct 28 18:11:07 2008  commencing relation filtering
Tue Oct 28 18:11:07 2008  commencing duplicate removal, pass 1
Tue Oct 28 18:14:06 2008  error -9 reading relation 16302560
Tue Oct 28 18:14:58 2008  error -15 reading relation 21041764
Tue Oct 28 18:15:19 2008  found 1848518 hash collisions in 22933637 relations
Tue Oct 28 18:16:47 2008  added 721562 free relations
Tue Oct 28 18:16:47 2008  commencing duplicate removal, pass 2
Tue Oct 28 18:17:06 2008  found 1107318 duplicates and 22547881 unique relations
Tue Oct 28 18:17:06 2008  memory use: 94.6 MB
Tue Oct 28 18:17:06 2008  reading rational ideals above 18415616
Tue Oct 28 18:17:06 2008  reading algebraic ideals above 18415616
Tue Oct 28 18:17:06 2008  commencing singleton removal, pass 1
Tue Oct 28 18:21:41 2008  relations with 0 large ideals: 922249
Tue Oct 28 18:21:41 2008  relations with 1 large ideals: 4236483
Tue Oct 28 18:21:41 2008  relations with 2 large ideals: 7900596
Tue Oct 28 18:21:41 2008  relations with 3 large ideals: 6655370
Tue Oct 28 18:21:41 2008  relations with 4 large ideals: 2152524
Tue Oct 28 18:21:41 2008  relations with 5 large ideals: 17717
Tue Oct 28 18:21:41 2008  relations with 6 large ideals: 662941
Tue Oct 28 18:21:41 2008  relations with 7+ large ideals: 1
Tue Oct 28 18:21:41 2008  22547881 relations and about 18723100 large ideals
Tue Oct 28 18:21:41 2008  commencing singleton removal, pass 2
Tue Oct 28 18:26:16 2008  found 6186686 singletons
Tue Oct 28 18:26:16 2008  current dataset: 16361195 relations and about 11312019 large ideals
Tue Oct 28 18:26:16 2008  commencing singleton removal, pass 3
Tue Oct 28 18:29:28 2008  found 1867860 singletons
Tue Oct 28 18:29:28 2008  current dataset: 14493335 relations and about 9370319 large ideals
Tue Oct 28 18:29:28 2008  commencing singleton removal, pass 4
Tue Oct 28 18:32:18 2008  found 423643 singletons
Tue Oct 28 18:32:18 2008  current dataset: 14069692 relations and about 8941622 large ideals
Tue Oct 28 18:32:18 2008  commencing singleton removal, final pass
Tue Oct 28 18:35:28 2008  memory use: 218.4 MB
Tue Oct 28 18:35:28 2008  commencing in-memory singleton removal
Tue Oct 28 18:35:30 2008  begin with 14069692 relations and 9950674 unique ideals
Tue Oct 28 18:35:54 2008  reduce to 12261335 relations and 8095900 ideals in 14 passes
Tue Oct 28 18:35:54 2008  max relations containing the same ideal: 64
Tue Oct 28 18:35:57 2008  reading rational ideals above 720000
Tue Oct 28 18:35:57 2008  reading algebraic ideals above 720000
Tue Oct 28 18:35:57 2008  commencing singleton removal, final pass
Tue Oct 28 18:39:45 2008  keeping 9433782 ideals with weight <= 20, new excess is 1020107
Tue Oct 28 18:39:55 2008  memory use: 348.3 MB
Tue Oct 28 18:39:56 2008  commencing in-memory singleton removal
Tue Oct 28 18:39:58 2008  begin with 12262644 relations and 9433782 unique ideals
Tue Oct 28 18:40:25 2008  reduce to 12250914 relations and 9415970 ideals in 11 passes
Tue Oct 28 18:40:25 2008  max relations containing the same ideal: 20
Tue Oct 28 18:40:37 2008  removing 2080308 relations and 1680308 ideals in 400000 cliques
Tue Oct 28 18:40:38 2008  commencing in-memory singleton removal
Tue Oct 28 18:40:39 2008  begin with 10170606 relations and 9415970 unique ideals
Tue Oct 28 18:40:55 2008  reduce to 9954338 relations and 7510988 ideals in 8 passes
Tue Oct 28 18:40:55 2008  max relations containing the same ideal: 20
Tue Oct 28 18:41:05 2008  removing 1568488 relations and 1168488 ideals in 400000 cliques
Tue Oct 28 18:41:05 2008  commencing in-memory singleton removal
Tue Oct 28 18:41:07 2008  begin with 8385850 relations and 7510988 unique ideals
Tue Oct 28 18:41:18 2008  reduce to 8228753 relations and 6179332 ideals in 7 passes
Tue Oct 28 18:41:18 2008  max relations containing the same ideal: 20
Tue Oct 28 18:41:25 2008  removing 1410938 relations and 1010938 ideals in 400000 cliques
Tue Oct 28 18:41:26 2008  commencing in-memory singleton removal
Tue Oct 28 18:41:27 2008  begin with 6817815 relations and 6179332 unique ideals
Tue Oct 28 18:41:36 2008  reduce to 6663133 relations and 5006972 ideals in 7 passes
Tue Oct 28 18:41:36 2008  max relations containing the same ideal: 19
Tue Oct 28 18:41:42 2008  removing 1327964 relations and 927964 ideals in 400000 cliques
Tue Oct 28 18:41:42 2008  commencing in-memory singleton removal
Tue Oct 28 18:41:43 2008  begin with 5335169 relations and 5006972 unique ideals
Tue Oct 28 18:41:51 2008  reduce to 5164439 relations and 3899279 ideals in 9 passes
Tue Oct 28 18:41:51 2008  max relations containing the same ideal: 19
Tue Oct 28 18:41:56 2008  removing 377053 relations and 295218 ideals in 81835 cliques
Tue Oct 28 18:41:56 2008  commencing in-memory singleton removal
Tue Oct 28 18:41:57 2008  begin with 4787386 relations and 3899279 unique ideals
Tue Oct 28 18:42:02 2008  reduce to 4769762 relations and 3586176 ideals in 6 passes
Tue Oct 28 18:42:02 2008  max relations containing the same ideal: 18
Tue Oct 28 18:42:07 2008  relations with 0 large ideals: 142358
Tue Oct 28 18:42:07 2008  relations with 1 large ideals: 686352
Tue Oct 28 18:42:07 2008  relations with 2 large ideals: 1396880
Tue Oct 28 18:42:07 2008  relations with 3 large ideals: 1417942
Tue Oct 28 18:42:07 2008  relations with 4 large ideals: 792619
Tue Oct 28 18:42:07 2008  relations with 5 large ideals: 262925
Tue Oct 28 18:42:07 2008  relations with 6 large ideals: 65802
Tue Oct 28 18:42:07 2008  relations with 7+ large ideals: 4884
Tue Oct 28 18:42:07 2008  commencing 2-way merge
Tue Oct 28 18:42:12 2008  reduce to 3246628 relation sets and 2063042 unique ideals
Tue Oct 28 18:42:12 2008  commencing full merge
Tue Oct 28 18:42:58 2008  memory use: 188.1 MB
Tue Oct 28 18:42:59 2008  found 1609067 cycles, need 1449242
Tue Oct 28 18:43:00 2008  weight of 1449242 cycles is about 101702624 (70.18/cycle)
Tue Oct 28 18:43:00 2008  distribution of cycle lengths:
Tue Oct 28 18:43:00 2008  1 relations: 183967
Tue Oct 28 18:43:00 2008  2 relations: 144810
Tue Oct 28 18:43:00 2008  3 relations: 147743
Tue Oct 28 18:43:00 2008  4 relations: 142868
Tue Oct 28 18:43:00 2008  5 relations: 138666
Tue Oct 28 18:43:00 2008  6 relations: 127732
Tue Oct 28 18:43:00 2008  7 relations: 116050
Tue Oct 28 18:43:00 2008  8 relations: 102946
Tue Oct 28 18:43:00 2008  9 relations: 90027
Tue Oct 28 18:43:00 2008  10+ relations: 254433
Tue Oct 28 18:43:00 2008  heaviest cycle: 17 relations
Tue Oct 28 18:43:00 2008  commencing cycle optimization
Tue Oct 28 18:43:04 2008  start with 8311173 relations
Tue Oct 28 18:43:28 2008  pruned 344021 relations
Tue Oct 28 18:43:28 2008  memory use: 259.1 MB
Tue Oct 28 18:43:28 2008  distribution of cycle lengths:
Tue Oct 28 18:43:28 2008  1 relations: 183967
Tue Oct 28 18:43:28 2008  2 relations: 150111
Tue Oct 28 18:43:28 2008  3 relations: 156291
Tue Oct 28 18:43:28 2008  4 relations: 150605
Tue Oct 28 18:43:28 2008  5 relations: 147049
Tue Oct 28 18:43:28 2008  6 relations: 134232
Tue Oct 28 18:43:28 2008  7 relations: 121130
Tue Oct 28 18:43:28 2008  8 relations: 105413
Tue Oct 28 18:43:28 2008  9 relations: 89711
Tue Oct 28 18:43:28 2008  10+ relations: 210733
Tue Oct 28 18:43:28 2008  heaviest cycle: 16 relations
Tue Oct 28 18:43:30 2008  elapsed time 00:32:24


Tue Oct 28 18:49:39 2008  commencing linear algebra
Tue Oct 28 18:49:39 2008  read 1449242 cycles
Tue Oct 28 18:49:45 2008  cycles contain 4205356 unique relations
Tue Oct 28 18:50:50 2008  read 4205356 relations
Tue Oct 28 18:51:02 2008  using 32 quadratic characters above 268434108
Tue Oct 28 18:52:08 2008  building initial matrix
Tue Oct 28 18:53:21 2008  memory use: 535.9 MB
Tue Oct 28 18:53:22 2008  read 1449242 cycles
Tue Oct 28 18:53:24 2008  matrix is 1448913 x 1449242 (426.1 MB) with weight 135761514 (93.68/col)
Tue Oct 28 18:53:24 2008  sparse part has weight 95768962 (66.08/col)
Tue Oct 28 18:54:31 2008  filtering completed in 3 passes
Tue Oct 28 18:54:31 2008  matrix is 1445023 x 1445223 (425.4 MB) with weight 135504932 (93.76/col)
Tue Oct 28 18:54:31 2008  sparse part has weight 95625280 (66.17/col)
Tue Oct 28 18:54:54 2008  read 1445223 cycles
Tue Oct 28 18:54:56 2008  matrix is 1445023 x 1445223 (425.4 MB) with weight 135504932 (93.76/col)
Tue Oct 28 18:54:56 2008  sparse part has weight 95625280 (66.17/col)
Tue Oct 28 18:54:56 2008  saving the first 48 matrix rows for later
Tue Oct 28 18:54:57 2008  matrix is 1444975 x 1445223 (407.0 MB) with weight 103303242 (71.48/col)
Tue Oct 28 18:54:57 2008  sparse part has weight 92233447 (63.82/col)
Tue Oct 28 18:54:57 2008  matrix includes 64 packed rows
Tue Oct 28 18:54:57 2008  using block size 10922 for processor cache size 256 kB
Tue Oct 28 18:55:08 2008  commencing Lanczos iteration (2 threads)
Tue Oct 28 18:55:08 2008  memory use: 401.3 MB
Wed Oct 29 05:44:13 2008  lanczos halted after 22851 iterations (dim = 1444972)
Wed Oct 29 05:44:18 2008  recovered 49 nontrivial dependencies
Wed Oct 29 05:44:18 2008  elapsed time 10:54:41


Wed Oct 29 06:58:26 2008  commencing square root phase
Wed Oct 29 06:58:26 2008  reading relations for dependency 1
Wed Oct 29 06:58:26 2008  read 722524 cycles
Wed Oct 29 06:58:28 2008  cycles contain 2614791 unique relations
Wed Oct 29 06:59:15 2008  read 2614791 relations
Wed Oct 29 06:59:34 2008  multiplying 2100892 relations
Wed Oct 29 07:03:48 2008  multiply complete, coefficients have about 49.51 million bits
Wed Oct 29 07:03:49 2008  initial square root is modulo 12816931
Wed Oct 29 07:10:19 2008  prp56 factor: 64359895320324138046847817077342166028615808217898933063
Wed Oct 29 07:10:19 2008  prp80 factor: 36903084954015880064848993395715905165599046095682487205693219081526100375034279
Wed Oct 29 07:10:19 2008  elapsed time 00:11:55
software ソフトウェア
GGNFS for sieving, msieve for linear algebra
execution environment 実行環境
Athlon64 x2 2800, 3 GB ram, Linux

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Justin CardSeptember 24, 2008 02:32:10 UTC 2008 年 9 月 24 日 (水) 11 時 32 分 10 秒 (日本時間)
255e4214Justin CardOctober 20, 2008 01:16:54 UTC 2008 年 10 月 20 日 (月) 10 時 16 分 54 秒 (日本時間)
3025e4430Justin CardOctober 20, 2008 01:41:41 UTC 2008 年 10 月 20 日 (月) 10 時 41 分 41 秒 (日本時間)
351e6690 / 82315Justin CardSeptember 24, 2008 02:16:31 UTC 2008 年 9 月 24 日 (水) 11 時 16 分 31 秒 (日本時間)
75Justin CardSeptember 24, 2008 02:31:26 UTC 2008 年 9 月 24 日 (水) 11 時 31 分 26 秒 (日本時間)
600Justin CardOctober 20, 2008 02:43:23 UTC 2008 年 10 月 20 日 (月) 11 時 43 分 23 秒 (日本時間)

10181+179

c125

name 名前Justin Card
date 日付September 30, 2008 01:02:00 UTC 2008 年 9 月 30 日 (火) 10 時 2 分 0 秒 (日本時間)
composite number 合成数
29133892481734837183602135697334988973490703807163310757974571749978078052900604926957726939876253751243046373693076558774153<125>
prime factors 素因数
7385184232314750943068830580286922326162032853<46>
3944910724671705496959005657530034323166977886486088453196723251979037296752101<79>
factorization results 素因数分解の結果
Number: 11113_181
N=29133892481734837183602135697334988973490703807163310757974571749978078052900604926957726939876253751243046373693076558774153
  ( 125 digits)
Divisors found:
 r1=7385184232314750943068830580286922326162032853
 r2=3944910724671705496959005657530034323166977886486088453196723251979037296752101
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.096).
Factorization parameters were as follows:
name: 11113_181
n: 29133892481734837183602135697334988973490703807163310757974571749978078052900604926957726939876253751243046373693076558774153
skew: 59306.55
# norm 1.20e+17
c5: 81240
c4: -26753789998
c3: 2671095956360131
c2: 181566292555311624899
c1: -2830291977228100294497705
c0: 6437501435799513345248142525
# alpha -5.47
Y1: 34134483791353
Y0: -814567199780845767882556
# Murphy_E 1.44e-10
# M 11523274213504150547440140399716556813368765874185185755558534481244351005830591973008858940401959649125501491092593456176972
type: gnfs
rlim: 8000000
alim: 8000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [4000000, 8300001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 977398 x 977646
Total sieving time: 39.40 hours.
Total relation processing time: 1.00 hours.
Matrix solve time: 4.00 hours.
Time per square root: 0.16 hours.
total time: 44.73 hours.
 --------- CPU info (if available) ----------
[   27.172216] Memory: 3055428k/3111872k available (2523k kernel code, 56056k reserved, 1328k data, 328k init)
[   27.318604] Calibrating delay using timer specific routine.. 3982.80 BogoMIPS (lpj=19914039)
[   28.066173] Calibrating delay using timer specific routine.. 3979.59 BogoMIPS (lpj=19897994)
software ソフトウェア
ggnfs/msieve 1.38
execution environment 実行環境
Athlon 64x2 3800, 3GB Ram, Ubuntu linux

10183+179

c170

name 名前Justin Card
date 日付November 9, 2008 00:00:35 UTC 2008 年 11 月 9 日 (日) 9 時 0 分 35 秒 (日本時間)
composite number 合成数
40830562649504799217415961810238391197943215134935430982426238285068266711842023010787621084797361781299076622938184082903429550547622347219167653925734308110219683957419<170>
prime factors 素因数
168065510093738558138055116999214544462198890554682324748107419<63>
242944329426849970997180630477373752133478580556976677728940298344363173643729480362319651902123233317150001<108>
factorization results 素因数分解の結果
Fri Nov  7 17:54:24 2008  Msieve v. 1.38
Fri Nov  7 17:54:24 2008  random seeds: e74a4bc0 27e1dda1
Fri Nov  7 17:54:24 2008  factoring 40830562649504799217415961810238391197943215134935430982426238285068266711842023010787621084797361781299076622938184082903429550547622347219167653925734308110219683957419 (170 digits)
Fri Nov  7 17:54:26 2008  no P-1/P+1/ECM available, skipping
Fri Nov  7 17:54:26 2008  commencing number field sieve (170-digit input)
Fri Nov  7 17:54:26 2008  R0: -2000000000000000000000000000000000000
Fri Nov  7 17:54:26 2008  R1:  1
Fri Nov  7 17:54:26 2008  A0:  68
Fri Nov  7 17:54:26 2008  A1:  0
Fri Nov  7 17:54:26 2008  A2:  0
Fri Nov  7 17:54:26 2008  A3:  0
Fri Nov  7 17:54:26 2008  A4:  0
Fri Nov  7 17:54:26 2008  A5:  125
Fri Nov  7 17:54:26 2008  size score = 8.925208e-13, Murphy alpha = 0.098689, combined = 8.636379e-13
Fri Nov  7 17:54:26 2008
Fri Nov  7 17:54:26 2008  commencing relation filtering
Fri Nov  7 17:54:26 2008  commencing duplicate removal, pass 1
Fri Nov  7 17:59:19 2008  found 2177390 hash collisions in 23154021 relations
Fri Nov  7 18:00:40 2008  added 3465 free relations
Fri Nov  7 18:00:40 2008  commencing duplicate removal, pass 2
Fri Nov  7 18:00:57 2008  found 1506103 duplicates and 21651383 unique relations
Fri Nov  7 18:00:57 2008  memory use: 94.6 MB
Fri Nov  7 18:00:57 2008  reading rational ideals above 10944512
Fri Nov  7 18:00:57 2008  reading algebraic ideals above 10944512
Fri Nov  7 18:00:57 2008  commencing singleton removal, pass 1
Fri Nov  7 18:05:37 2008  relations with 0 large ideals: 392628
Fri Nov  7 18:05:37 2008  relations with 1 large ideals: 2450350
Fri Nov  7 18:05:37 2008  relations with 2 large ideals: 6519546
Fri Nov  7 18:05:37 2008  relations with 3 large ideals: 7895436
Fri Nov  7 18:05:37 2008  relations with 4 large ideals: 3690112
Fri Nov  7 18:05:37 2008  relations with 5 large ideals: 19077
Fri Nov  7 18:05:37 2008  relations with 6 large ideals: 684234
Fri Nov  7 18:05:37 2008  relations with 7+ large ideals: 0
Fri Nov  7 18:05:37 2008  21651383 relations and about 19194176 large ideals
Fri Nov  7 18:05:37 2008  commencing singleton removal, pass 2
Fri Nov  7 18:10:16 2008  found 6735403 singletons
Fri Nov  7 18:10:16 2008  current dataset: 14915980 relations and about 11124611 large ideals
Fri Nov  7 18:10:16 2008  commencing singleton removal, pass 3
Fri Nov  7 18:13:22 2008  found 1602906 singletons
Fri Nov  7 18:13:22 2008  current dataset: 13313074 relations and about 9447761 large ideals
Fri Nov  7 18:13:22 2008  commencing singleton removal, pass 4
Fri Nov  7 18:16:08 2008  found 370857 singletons
Fri Nov  7 18:16:08 2008  current dataset: 12942217 relations and about 9072150 large ideals
Fri Nov  7 18:16:08 2008  commencing singleton removal, final pass
Fri Nov  7 18:19:10 2008  memory use: 219.5 MB
Fri Nov  7 18:19:10 2008  commencing in-memory singleton removal
Fri Nov  7 18:19:12 2008  begin with 12942217 relations and 10108568 unique ideals
Fri Nov  7 18:19:38 2008  reduce to 11020221 relations and 8131732 ideals in 15 passes
Fri Nov  7 18:19:38 2008  max relations containing the same ideal: 43
Fri Nov  7 18:19:40 2008  reading rational ideals above 720000
Fri Nov  7 18:19:40 2008  reading algebraic ideals above 720000
Fri Nov  7 18:19:40 2008  commencing singleton removal, final pass
Fri Nov  7 18:23:19 2008  keeping 8734777 ideals with weight <= 20, new excess is 864903
Fri Nov  7 18:23:29 2008  memory use: 256.8 MB
Fri Nov  7 18:23:29 2008  commencing in-memory singleton removal
Fri Nov  7 18:23:31 2008  begin with 11023686 relations and 8734777 unique ideals
Fri Nov  7 18:23:45 2008  reduce to 11019203 relations and 8713341 ideals in 7 passes
Fri Nov  7 18:23:45 2008  max relations containing the same ideal: 20
Fri Nov  7 18:23:56 2008  removing 2136396 relations and 1736396 ideals in 400000 cliques
Fri Nov  7 18:23:57 2008  commencing in-memory singleton removal
Fri Nov  7 18:23:58 2008  begin with 8882807 relations and 8713341 unique ideals
Fri Nov  7 18:24:12 2008  reduce to 8621173 relations and 6704103 ideals in 9 passes
Fri Nov  7 18:24:12 2008  max relations containing the same ideal: 20
Fri Nov  7 18:24:20 2008  removing 1619607 relations and 1219607 ideals in 400000 cliques
Fri Nov  7 18:24:21 2008  commencing in-memory singleton removal
Fri Nov  7 18:24:22 2008  begin with 7001566 relations and 6704103 unique ideals
Fri Nov  7 18:24:33 2008  reduce to 6797292 relations and 5271165 ideals in 9 passes
Fri Nov  7 18:24:33 2008  max relations containing the same ideal: 20
Fri Nov  7 18:24:39 2008  removing 1463385 relations and 1063385 ideals in 400000 cliques
Fri Nov  7 18:24:40 2008  commencing in-memory singleton removal
Fri Nov  7 18:24:40 2008  begin with 5333907 relations and 5271165 unique ideals
Fri Nov  7 18:24:48 2008  reduce to 5118087 relations and 3980297 ideals in 9 passes
Fri Nov  7 18:24:48 2008  max relations containing the same ideal: 19
Fri Nov  7 18:24:52 2008  removing 616616 relations and 482114 ideals in 134502 cliques
Fri Nov  7 18:24:53 2008  commencing in-memory singleton removal
Fri Nov  7 18:24:54 2008  begin with 4501471 relations and 3980297 unique ideals
Fri Nov  7 18:24:59 2008  reduce to 4451213 relations and 3446730 ideals in 7 passes
Fri Nov  7 18:24:59 2008  max relations containing the same ideal: 19
Fri Nov  7 18:25:03 2008  relations with 0 large ideals: 128141
Fri Nov  7 18:25:03 2008  relations with 1 large ideals: 644668
Fri Nov  7 18:25:03 2008  relations with 2 large ideals: 1377524
Fri Nov  7 18:25:03 2008  relations with 3 large ideals: 1403644
Fri Nov  7 18:25:03 2008  relations with 4 large ideals: 700436
Fri Nov  7 18:25:03 2008  relations with 5 large ideals: 159255
Fri Nov  7 18:25:03 2008  relations with 6 large ideals: 36585
Fri Nov  7 18:25:03 2008  relations with 7+ large ideals: 960
Fri Nov  7 18:25:03 2008  commencing 2-way merge
Fri Nov  7 18:25:08 2008  reduce to 2874971 relation sets and 1870488 unique ideals
Fri Nov  7 18:25:08 2008  commencing full merge
Fri Nov  7 18:25:42 2008  memory use: 163.5 MB
Fri Nov  7 18:25:43 2008  found 1409399 cycles, need 1272688
Fri Nov  7 18:25:44 2008  weight of 1272688 cycles is about 89474158 (70.30/cycle)
Fri Nov  7 18:25:44 2008  distribution of cycle lengths:
Fri Nov  7 18:25:44 2008  1 relations: 165517
Fri Nov  7 18:25:44 2008  2 relations: 128117
Fri Nov  7 18:25:44 2008  3 relations: 131193
Fri Nov  7 18:25:44 2008  4 relations: 129223
Fri Nov  7 18:25:44 2008  5 relations: 124960
Fri Nov  7 18:25:44 2008  6 relations: 114579
Fri Nov  7 18:25:44 2008  7 relations: 104913
Fri Nov  7 18:25:44 2008  8 relations: 91673
Fri Nov  7 18:25:44 2008  9 relations: 79160
Fri Nov  7 18:25:44 2008  10+ relations: 203353
Fri Nov  7 18:25:44 2008  heaviest cycle: 16 relations
Fri Nov  7 18:25:44 2008  commencing cycle optimization
Fri Nov  7 18:25:47 2008  start with 7122735 relations
Fri Nov  7 18:26:05 2008  pruned 235546 relations
Fri Nov  7 18:26:06 2008  memory use: 233.5 MB
Fri Nov  7 18:26:06 2008  distribution of cycle lengths:
Fri Nov  7 18:26:06 2008  1 relations: 165517
Fri Nov  7 18:26:06 2008  2 relations: 132065
Fri Nov  7 18:26:06 2008  3 relations: 137489
Fri Nov  7 18:26:06 2008  4 relations: 134742
Fri Nov  7 18:26:06 2008  5 relations: 130671
Fri Nov  7 18:26:06 2008  6 relations: 119077
Fri Nov  7 18:26:06 2008  7 relations: 108667
Fri Nov  7 18:26:06 2008  8 relations: 93246
Fri Nov  7 18:26:06 2008  9 relations: 78451
Fri Nov  7 18:26:06 2008  10+ relations: 172763
Fri Nov  7 18:26:06 2008  heaviest cycle: 16 relations
Fri Nov  7 18:26:07 2008


Sat Nov  8 11:39:25 2008  Msieve v. 1.38
Sat Nov  8 11:39:25 2008  random seeds: 51fa03ca 0994addc
Sat Nov  8 11:39:25 2008  factoring 40830562649504799217415961810238391197943215134935430982426238285068266711842023010787621084797361781299076622938184082903429550547622347219167653925734308110219683957419 (170 digits)
Sat Nov  8 11:39:27 2008  no P-1/P+1/ECM available, skipping
Sat Nov  8 11:39:27 2008  commencing number field sieve (170-digit input)
Sat Nov  8 11:39:27 2008  R0: -2000000000000000000000000000000000000
Sat Nov  8 11:39:27 2008  R1:  1
Sat Nov  8 11:39:27 2008  A0:  68
Sat Nov  8 11:39:27 2008  A1:  0
Sat Nov  8 11:39:27 2008  A2:  0
Sat Nov  8 11:39:27 2008  A3:  0
Sat Nov  8 11:39:27 2008  A4:  0
Sat Nov  8 11:39:27 2008  A5:  125
Sat Nov  8 11:39:27 2008  size score = 8.925208e-13, Murphy alpha = 0.098689, combined = 8.636379e-13
Sat Nov  8 11:39:27 2008
Sat Nov  8 11:39:27 2008  commencing linear algebra
Sat Nov  8 11:39:28 2008  read 1266783 cycles
Sat Nov  8 11:39:35 2008  matrix is 1266583 x 1266783 (376.6 MB) with weight 119213116 (94.11/col)
Sat Nov  8 11:39:35 2008  sparse part has weight 84786181 (66.93/col)
Sat Nov  8 11:39:35 2008  saving the first 48 matrix rows for later
Sat Nov  8 11:39:36 2008  matrix is 1266535 x 1266783 (359.5 MB) with weight 91770370 (72.44/col)
Sat Nov  8 11:39:36 2008  sparse part has weight 81564776 (64.39/col)
Sat Nov  8 11:39:36 2008  matrix includes 64 packed rows
Sat Nov  8 11:39:36 2008  using block size 10922 for processor cache size 256 kB
Sat Nov  8 11:39:44 2008  commencing Lanczos iteration (2 threads)
Sat Nov  8 11:39:44 2008  memory use: 354.5 MB
Sat Nov  8 11:39:45 2008  restarting at iteration 7907 (dim = 500003)
Sat Nov  8 16:25:01 2008  lanczos halted after 20032 iterations (dim = 1266533)
Sat Nov  8 16:25:05 2008  recovered 49 nontrivial dependencies
Sat Nov  8 16:25:05 2008  elapsed time 04:45:40


Sat Nov  8 17:55:09 2008  Msieve v. 1.38
Sat Nov  8 17:55:09 2008  random seeds: a64a7e10 af28163f
Sat Nov  8 17:55:09 2008  factoring 40830562649504799217415961810238391197943215134935430982426238285068266711842023010787621084797361781299076622938184082903429550547622347219167653925734308110219683957419 (170 digits)
Sat Nov  8 17:55:11 2008  no P-1/P+1/ECM available, skipping
Sat Nov  8 17:55:11 2008  commencing number field sieve (170-digit input)
Sat Nov  8 17:55:11 2008  R0: -2000000000000000000000000000000000000
Sat Nov  8 17:55:11 2008  R1:  1
Sat Nov  8 17:55:11 2008  A0:  68
Sat Nov  8 17:55:11 2008  A1:  0
Sat Nov  8 17:55:11 2008  A2:  0
Sat Nov  8 17:55:11 2008  A3:  0
Sat Nov  8 17:55:11 2008  A4:  0
Sat Nov  8 17:55:11 2008  A5:  125
Sat Nov  8 17:55:11 2008  size score = 8.925208e-13, Murphy alpha = 0.098689, combined = 8.636379e-13
Sat Nov  8 17:55:11 2008
Sat Nov  8 17:55:11 2008  commencing square root phase
Sat Nov  8 17:55:11 2008  reading relations for dependency 1
Sat Nov  8 17:55:14 2008  read 633249 cycles
Sat Nov  8 17:55:16 2008  cycles contain 2386887 unique relations
Sat Nov  8 17:56:05 2008  read 2386887 relations
Sat Nov  8 17:56:22 2008  multiplying 1941296 relations
Sat Nov  8 18:00:50 2008  multiply complete, coefficients have about 58.10 million bits
Sat Nov  8 18:00:52 2008  initial square root is modulo 219677771
Sat Nov  8 18:09:53 2008  reading relations for dependency 2
Sat Nov  8 18:09:53 2008  read 633768 cycles
Sat Nov  8 18:09:55 2008  cycles contain 2389302 unique relations
Sat Nov  8 18:10:28 2008  read 2389302 relations
Sat Nov  8 18:10:46 2008  multiplying 1944182 relations
Sat Nov  8 18:15:13 2008  multiply complete, coefficients have about 58.19 million bits
Sat Nov  8 18:15:14 2008  initial square root is modulo 225957161
Sat Nov  8 18:24:15 2008  prp63 factor: 168065510093738558138055116999214544462198890554682324748107419
Sat Nov  8 18:24:15 2008  prp108 factor: 242944329426849970997180630477373752133478580556976677728940298344363173643729480362319651902123233317150001
Sat Nov  8 18:24:15 2008  elapsed time 00:29:06
software ソフトウェア
GGNFS / msieve 1.38
execution environment 実行環境
Athlon 64 X2 2800 - 3 GB RAM, Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Justin CardOctober 16, 2008 19:08:39 UTC 2008 年 10 月 17 日 (金) 4 時 8 分 39 秒 (日本時間)
255e4214Justin CardOctober 16, 2008 19:19:01 UTC 2008 年 10 月 17 日 (金) 4 時 19 分 1 秒 (日本時間)
3025e4430178Justin CardOctober 24, 2008 22:00:04 UTC 2008 年 10 月 25 日 (土) 7 時 0 分 4 秒 (日本時間)
252Justin CardOctober 24, 2008 22:25:55 UTC 2008 年 10 月 25 日 (土) 7 時 25 分 55 秒 (日本時間)

10184+179

c133

name 名前yoyo@home
date 日付March 8, 2010 04:05:45 UTC 2010 年 3 月 8 日 (月) 13 時 5 分 45 秒 (日本時間)
composite number 合成数
1119679103226195952706671836219380541737724281816806432671745918941447425776987886165832562887561828879602297806261423269671804791259<133>
prime factors 素因数
4148400006483399883957442569065648756923044189<46>
269906253369078628129929458622943984187716798624981348124542297351320545556944250772631<87>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 1119679103226195952706671836219380541737724281816806432671745918941447425776987886165832562887561828879602297806261423269671804791259 (133 digits)
[Sun Mar 07 06:37:33 2010]
Using MODMULN
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1621297769
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits:
20  25      30      35      40      45      50      55      60      65
2       7       26      122     681     4480    33652   283939  2655154 2.7e+007
Step 1 took 24804ms
Using 17 small primes for NTT
Estimated memory usage: 93M
Initializing tables of differences for F took 31ms
Computing roots of F took 1669ms
Building F from its roots took 1841ms
Computing 1/F took 951ms
Initializing table of differences for G took 16ms
Computing roots of G took 1466ms
Building G from its roots took 1701ms
Computing roots of G took 1435ms
Building G from its roots took 1701ms
Computing G * H took 546ms
Reducing  G * H mod F took 515ms
Computing roots of G took 1435ms
Building G from its roots took 1701ms
Computing G * H took 562ms
Reducing  G * H mod F took 530ms
Computing polyeval(F,G) took 3276ms
Computing product of all F(g_i) took 0ms
Step 2 took 19516ms
********** Factor found in step 2: 4148400006483399883957442569065648756923044189
Found probable prime factor of 46 digits: 4148400006483399883957442569065648756923044189
Probable prime cofactor 269906253369078628129929458622943984187716798624981348124542297351320545556944250772631 has 87 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
2011e374Justin CardOctober 24, 2008 22:28:14 UTC 2008 年 10 月 25 日 (土) 7 時 28 分 14 秒 (日本時間)
255e4204Justin CardJune 14, 2009 02:22:49 UTC 2009 年 6 月 14 日 (日) 11 時 22 分 49 秒 (日本時間)
3025e4403Justin CardJune 14, 2009 02:30:52 UTC 2009 年 6 月 14 日 (日) 11 時 30 分 52 秒 (日本時間)
351e6828JPascoaDecember 7, 2009 09:36:32 UTC 2009 年 12 月 7 日 (月) 18 時 36 分 32 秒 (日本時間)
403e62280JPascoaDecember 7, 2009 13:45:18 UTC 2009 年 12 月 7 日 (月) 22 時 45 分 18 秒 (日本時間)

10185+179

c163

name 名前Justin Card
date 日付December 14, 2008 01:11:19 UTC 2008 年 12 月 14 日 (日) 10 時 11 分 19 秒 (日本時間)
composite number 合成数
5601515784080136495058260409669476551922366725684158384351571184319213658664583664274625015281983236076984038434575826619948188356950956656183633054869264464184481<163>
prime factors 素因数
15114737110291755253865525542276220443845732191<47>
62215924351208704620214741244687970502124398308107141<53>
5956668182002404597436168891848003944513400860278422888622352051<64>
factorization results 素因数分解の結果
Sieve time, ~

Thu Dec 11 06:25:45 2008  Msieve v. 1.39
Thu Dec 11 06:25:45 2008  random seeds: c119b89d 3c60b76b
Thu Dec 11 06:25:45 2008  factoring 5601515784080136495058260409669476551922366725684158384351571184319213658664583664274625015281983236076984038434575826619948188356950956656183633054869264464184481 (163 digits)
Thu Dec 11 06:25:47 2008  searching for 15-digit factors
Thu Dec 11 06:25:48 2008  commencing number field sieve (163-digit input)
Thu Dec 11 06:25:48 2008  R0: -10000000000000000000000000000000000000
Thu Dec 11 06:25:48 2008  R1:  1
Thu Dec 11 06:25:48 2008  A0:  17
Thu Dec 11 06:25:48 2008  A1:  0
Thu Dec 11 06:25:48 2008  A2:  0
Thu Dec 11 06:25:48 2008  A3:  0
Thu Dec 11 06:25:48 2008  A4:  0
Thu Dec 11 06:25:48 2008  A5:  1
Thu Dec 11 06:25:48 2008  skew 0.00, size 1.649244e-12, alpha 1.047729, combined = 1.163083e-12
Thu Dec 11 06:25:48 2008
Thu Dec 11 06:25:48 2008  commencing relation filtering
Thu Dec 11 06:25:48 2008  commencing duplicate removal, pass 1
Thu Dec 11 06:28:46 2008  error -9 reading relation 14190429
Thu Dec 11 06:28:55 2008  error -9 reading relation 14949426
Thu Dec 11 06:29:13 2008  error -15 reading relation 16595032
Thu Dec 11 06:29:25 2008  error -9 reading relation 17527780
Thu Dec 11 06:29:35 2008  error -15 reading relation 18356803
Thu Dec 11 06:30:11 2008  found 3465609 hash collisions in 21585522 relations
Thu Dec 11 06:31:19 2008  added 24327 free relations
Thu Dec 11 06:31:19 2008  commencing duplicate removal, pass 2
Thu Dec 11 06:31:37 2008  found 3270865 duplicates and 18338984 unique relations
Thu Dec 11 06:31:37 2008  memory use: 94.6 MB
Thu Dec 11 06:31:37 2008  reading rational ideals above 8716288
Thu Dec 11 06:31:37 2008  reading algebraic ideals above 8716288
Thu Dec 11 06:31:37 2008  commencing singleton removal, pass 1
Thu Dec 11 06:35:35 2008  relations with 0 large ideals: 230675
Thu Dec 11 06:35:35 2008  relations with 1 large ideals: 1542279
Thu Dec 11 06:35:35 2008  relations with 2 large ideals: 4605346
Thu Dec 11 06:35:35 2008  relations with 3 large ideals: 6337724
Thu Dec 11 06:35:35 2008  relations with 4 large ideals: 3878423
Thu Dec 11 06:35:35 2008  relations with 5 large ideals: 969234
Thu Dec 11 06:35:35 2008  relations with 6 large ideals: 771397
Thu Dec 11 06:35:35 2008  relations with 7+ large ideals: 3906
Thu Dec 11 06:35:35 2008  18338984 relations and about 18219864 large ideals
Thu Dec 11 06:35:35 2008  commencing singleton removal, pass 2
Thu Dec 11 06:39:35 2008  found 6773463 singletons
Thu Dec 11 06:39:35 2008  current dataset: 11565521 relations and about 9662777 large ideals
Thu Dec 11 06:39:35 2008  commencing singleton removal, pass 3
Thu Dec 11 06:41:58 2008  found 1929828 singletons
Thu Dec 11 06:41:58 2008  current dataset: 9635693 relations and about 7596307 large ideals
Thu Dec 11 06:41:58 2008  commencing singleton removal, pass 4
Thu Dec 11 06:43:59 2008  found 559893 singletons
Thu Dec 11 06:43:59 2008  current dataset: 9075800 relations and about 7022668 large ideals
Thu Dec 11 06:43:59 2008  commencing singleton removal, pass 5
Thu Dec 11 06:45:52 2008  found 175568 singletons
Thu Dec 11 06:45:52 2008  current dataset: 8900232 relations and about 6845659 large ideals
Thu Dec 11 06:45:52 2008  commencing singleton removal, final pass
Thu Dec 11 06:47:54 2008  memory use: 157.8 MB
Thu Dec 11 06:47:55 2008  commencing in-memory singleton removal
Thu Dec 11 06:47:56 2008  begin with 8900232 relations and 7598828 unique ideals
Thu Dec 11 06:48:16 2008  reduce to 7009060 relations and 5642900 ideals in 18 passes
Thu Dec 11 06:48:16 2008  max relations containing the same ideal: 24
Thu Dec 11 06:48:18 2008  reading rational ideals above 720000
Thu Dec 11 06:48:18 2008  reading algebraic ideals above 720000
Thu Dec 11 06:48:18 2008  commencing singleton removal, final pass
Thu Dec 11 06:50:15 2008  keeping 6366128 ideals with weight <= 20, new excess is 589025
Thu Dec 11 06:50:21 2008  memory use: 183.7 MB
Thu Dec 11 06:50:21 2008  commencing in-memory singleton removal
Thu Dec 11 06:50:22 2008  begin with 7033399 relations and 6366128 unique ideals
Thu Dec 11 06:50:37 2008  reduce to 7004721 relations and 6218178 ideals in 11 passes
Thu Dec 11 06:50:37 2008  max relations containing the same ideal: 20
Thu Dec 11 06:50:43 2008  removing 599456 relations and 547819 ideals in 51637 cliques
Thu Dec 11 06:50:44 2008  commencing in-memory singleton removal
Thu Dec 11 06:50:45 2008  begin with 6405265 relations and 6218178 unique idealsThu Dec 11 06:50:57 2008  reduce to 6365591 relations and 5630271 ideals in 10 passes
Thu Dec 11 06:50:57 2008  max relations containing the same ideal: 20
Thu Dec 11 06:51:03 2008  removing 432595 relations and 380958 ideals in 51637 cliques
Thu Dec 11 06:51:03 2008  commencing in-memory singleton removal
Thu Dec 11 06:51:04 2008  begin with 5932996 relations and 5630271 unique ideals
Thu Dec 11 06:51:13 2008  reduce to 5909684 relations and 5225798 ideals in 8 passes
Thu Dec 11 06:51:13 2008  max relations containing the same ideal: 20
Thu Dec 11 06:51:20 2008  relations with 0 large ideals: 43999
Thu Dec 11 06:51:20 2008  relations with 1 large ideals: 279962
Thu Dec 11 06:51:20 2008  relations with 2 large ideals: 938340
Thu Dec 11 06:51:20 2008  relations with 3 large ideals: 1640855
Thu Dec 11 06:51:20 2008  relations with 4 large ideals: 1630210
Thu Dec 11 06:51:20 2008  relations with 5 large ideals: 952681
Thu Dec 11 06:51:20 2008  relations with 6 large ideals: 358387
Thu Dec 11 06:51:20 2008  relations with 7+ large ideals: 65250
Thu Dec 11 06:51:20 2008  commencing 2-way merge
Thu Dec 11 06:51:27 2008  reduce to 3478218 relation sets and 2794332 unique ideals
Thu Dec 11 06:51:27 2008  commencing full merge
Thu Dec 11 06:52:41 2008  memory use: 269.3 MB
Thu Dec 11 06:52:42 2008  found 1701886 cycles, need 1614532
Thu Dec 11 06:52:43 2008  weight of 1614532 cycles is about 113141746 (70.08/cycle)
Thu Dec 11 06:52:43 2008  distribution of cycle lengths:
Thu Dec 11 06:52:43 2008  1 relations: 209342
Thu Dec 11 06:52:43 2008  2 relations: 191075
Thu Dec 11 06:52:43 2008  3 relations: 185586
Thu Dec 11 06:52:43 2008  4 relations: 165144
Thu Dec 11 06:52:43 2008  5 relations: 146133
Thu Dec 11 06:52:43 2008  6 relations: 126188
Thu Dec 11 06:52:43 2008  7 relations: 106578
Thu Dec 11 06:52:43 2008  8 relations: 93386
Thu Dec 11 06:52:43 2008  9 relations: 78985
Thu Dec 11 06:52:43 2008  10+ relations: 312115
Thu Dec 11 06:52:43 2008  heaviest cycle: 20 relations
Thu Dec 11 06:52:44 2008  commencing cycle optimization
Thu Dec 11 06:52:48 2008  start with 9412575 relations
Thu Dec 11 06:53:15 2008  pruned 235166 relations
Thu Dec 11 06:53:15 2008  memory use: 315.3 MB
Thu Dec 11 06:53:15 2008  distribution of cycle lengths:
Thu Dec 11 06:53:15 2008  1 relations: 209342
Thu Dec 11 06:53:15 2008  2 relations: 195784
Thu Dec 11 06:53:15 2008  3 relations: 192349
Thu Dec 11 06:53:15 2008  4 relations: 169452
Thu Dec 11 06:53:15 2008  5 relations: 149844
Thu Dec 11 06:53:15 2008  6 relations: 127591
Thu Dec 11 06:53:15 2008  7 relations: 107695
Thu Dec 11 06:53:15 2008  8 relations: 93119
Thu Dec 11 06:53:15 2008  9 relations: 78380
Thu Dec 11 06:53:15 2008  10+ relations: 290976
Thu Dec 11 06:53:15 2008  heaviest cycle: 20 relations
Thu Dec 11 06:53:21 2008  elapsed time 00:27:36

Fri Dec 12 20:24:42 2008  Msieve v. 1.39
Fri Dec 12 20:24:42 2008  random seeds: 8a67411e b53fa8c3
Fri Dec 12 20:24:42 2008  factoring 5601515784080136495058260409669476551922366725684158384351571184319213658664583664274625015281983236076984038434575826619948188356950956656183633054869264464184481 (163 digits)
Fri Dec 12 20:24:45 2008  searching for 15-digit factors
Fri Dec 12 20:24:46 2008  commencing number field sieve (163-digit input)
Fri Dec 12 20:24:46 2008  R0: -10000000000000000000000000000000000000
Fri Dec 12 20:24:46 2008  R1:  1
Fri Dec 12 20:24:46 2008  A0:  17
Fri Dec 12 20:24:46 2008  A1:  0
Fri Dec 12 20:24:46 2008  A2:  0
Fri Dec 12 20:24:46 2008  A3:  0
Fri Dec 12 20:24:46 2008  A4:  0
Fri Dec 12 20:24:46 2008  A5:  1
Fri Dec 12 20:24:46 2008  skew 0.00, size 1.649244e-12, alpha 1.047729, combined = 1.163083e-12
Fri Dec 12 20:24:46 2008
Fri Dec 12 20:24:46 2008  commencing linear algebra
Fri Dec 12 20:24:47 2008  read 1599998 cycles
Fri Dec 12 20:24:54 2008  cycles contain 5294098 unique relations
Fri Dec 12 20:26:00 2008  read 5294098 relations
Fri Dec 12 20:26:14 2008  using 20 quadratic characters above 268434548
Fri Dec 12 20:27:04 2008  building initial matrix
Fri Dec 12 20:28:25 2008  memory use: 643.5 MB
Fri Dec 12 20:28:27 2008  read 1599998 cycles
Fri Dec 12 20:28:29 2008  matrix is 1599798 x 1599998 (480.2 MB) with weight 141340528 (88.34/col)
Fri Dec 12 20:28:29 2008  sparse part has weight 108280053 (67.68/col)
Fri Dec 12 20:28:55 2008  filtering completed in 1 passes
Fri Dec 12 20:28:55 2008  matrix is 1599798 x 1599998 (480.2 MB) with weight 141340528 (88.34/col)
Fri Dec 12 20:28:55 2008  sparse part has weight 108280053 (67.68/col)
Fri Dec 12 20:29:10 2008  read 1599998 cycles
Fri Dec 12 20:29:12 2008  matrix is 1599798 x 1599998 (480.2 MB) with weight 141340528 (88.34/col)
Fri Dec 12 20:29:12 2008  sparse part has weight 108280053 (67.68/col)
Fri Dec 12 20:29:12 2008  saving the first 48 matrix rows for later
Fri Dec 12 20:29:13 2008  matrix is 1599750 x 1599998 (452.7 MB) with weight 111950279 (69.97/col)
Fri Dec 12 20:29:13 2008  sparse part has weight 102665798 (64.17/col)
Fri Dec 12 20:29:13 2008  matrix includes 64 packed rows
Fri Dec 12 20:29:13 2008  using block size 10922 for processor cache size 256 kB
Fri Dec 12 20:29:23 2008  commencing Lanczos iteration (2 threads)
Fri Dec 12 20:29:23 2008  memory use: 448.0 MB
Sat Dec 13 00:51:35 2008  lanczos error: submatrix is not invertible
Sat Dec 13 00:51:35 2008  lanczos halted after 7210 iterations (dim = 455967)
Sat Dec 13 00:51:35 2008  linear algebra failed; retrying...
Sat Dec 13 00:51:35 2008  commencing Lanczos iteration (2 threads)
Sat Dec 13 00:51:35 2008  memory use: 448.0 MB
Sat Dec 13 16:07:31 2008  lanczos halted after 25302 iterations (dim = 1599744)
Sat Dec 13 16:07:38 2008  recovered 31 nontrivial dependencies
Sat Dec 13 16:07:38 2008  elapsed time 19:42:56
Sat Dec 13 18:12:48 2008
Sat Dec 13 18:12:48 2008
Sat Dec 13 18:12:48 2008  Msieve v. 1.39
Sat Dec 13 18:12:48 2008  random seeds: 595748d8 c5a6942b
Sat Dec 13 18:12:48 2008  factoring 5601515784080136495058260409669476551922366725684158384351571184319213658664583664274625015281983236076984038434575826619948188356950956656183633054869264464184481 (163 digits)
Sat Dec 13 18:12:49 2008  searching for 15-digit factors
Sat Dec 13 18:12:51 2008  commencing number field sieve (163-digit input)
Sat Dec 13 18:12:51 2008  R0: -10000000000000000000000000000000000000
Sat Dec 13 18:12:51 2008  R1:  1
Sat Dec 13 18:12:51 2008  A0:  17
Sat Dec 13 18:12:51 2008  A1:  0
Sat Dec 13 18:12:51 2008  A2:  0
Sat Dec 13 18:12:51 2008  A3:  0
Sat Dec 13 18:12:51 2008  A4:  0
Sat Dec 13 18:12:51 2008  A5:  1
Sat Dec 13 18:12:51 2008  skew 0.00, size 1.649244e-12, alpha 1.047729, combined = 1.163083e-12
Sat Dec 13 18:12:51 2008
Sat Dec 13 18:12:51 2008  commencing square root phase
Sat Dec 13 18:12:51 2008  reading relations for dependency 1
Sat Dec 13 18:12:51 2008  read 800041 cycles
Sat Dec 13 18:12:54 2008  cycles contain 3218627 unique relations
Sat Dec 13 18:13:39 2008  read 3218627 relations
Sat Dec 13 18:14:03 2008  multiplying 2646900 relations
Sat Dec 13 18:18:29 2008  multiply complete, coefficients have about 59.07 million bits
Sat Dec 13 18:18:31 2008  initial square root is modulo 301859771
Sat Dec 13 18:27:26 2008  reading relations for dependency 2
Sat Dec 13 18:27:27 2008  read 799909 cycles
Sat Dec 13 18:27:30 2008  cycles contain 3215839 unique relations
Sat Dec 13 18:28:13 2008  read 3215839 relations
Sat Dec 13 18:28:37 2008  multiplying 2645928 relations
Sat Dec 13 18:33:02 2008  multiply complete, coefficients have about 59.05 million bits
Sat Dec 13 18:33:04 2008  initial square root is modulo 299845591
Sat Dec 13 18:41:52 2008  Newton iteration failed to converge
Sat Dec 13 18:41:52 2008  algebraic square root failed
Sat Dec 13 18:41:52 2008  reading relations for dependency 3
Sat Dec 13 18:41:53 2008  read 800016 cycles
Sat Dec 13 18:41:56 2008  cycles contain 3214264 unique relations
Sat Dec 13 18:42:37 2008  read 3214264 relations
Sat Dec 13 18:43:02 2008  multiplying 2644520 relations
Sat Dec 13 18:47:26 2008  multiply complete, coefficients have about 59.01 million bits
Sat Dec 13 18:47:28 2008  initial square root is modulo 296690551
Sat Dec 13 18:56:23 2008  prp47 factor: 15114737110291755253865525542276220443845732191
Sat Dec 13 18:56:23 2008  prp53 factor: 62215924351208704620214741244687970502124398308107141
Sat Dec 13 18:56:23 2008  prp64 factor: 5956668182002404597436168891848003944513400860278422888622352051
Sat Dec 13 18:56:23 2008  elapsed time 00:43:35
software ソフトウェア
ggnfs / msieve 
execution environment 実行環境
Athlon 64x2 3800, 3 GB RAM, 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Justin CardOctober 17, 2008 12:12:56 UTC 2008 年 10 月 17 日 (金) 21 時 12 分 56 秒 (日本時間)
255e4214Justin CardOctober 17, 2008 12:43:25 UTC 2008 年 10 月 17 日 (金) 21 時 43 分 25 秒 (日本時間)
3025e4430Justin CardOctober 17, 2008 14:30:25 UTC 2008 年 10 月 17 日 (金) 23 時 30 分 25 秒 (日本時間)

10187+179

c125

name 名前Erik Branger
date 日付September 9, 2009 05:13:12 UTC 2009 年 9 月 9 日 (水) 14 時 13 分 12 秒 (日本時間)
composite number 合成数
20766084235548622733269488275884605676858882365997849091845587425547936007271922357156060196062766925993322190178505974392627<125>
prime factors 素因数
2743641069602876421817939887754517698871698068469<49>
7568804996257901058444820569101293068078524183161107631106691480771145301383<76>
factorization results 素因数分解の結果
Number: 11113_187
N=2076608423554862273326948827588460567685888236599784909184558742554793600727192235715606019606276692599332219017

8505974392627
  ( 125 digits)
Divisors found:
 r1=2743641069602876421817939887754517698871698068469 (pp49)
 r2=7568804996257901058444820569101293068078524183161107631106691480771145301383 (pp76)
Version: Msieve-1.40
Total time: 93.26 hours.
Scaled time: 97.64 units (timescale=1.047).
Factorization parameters were as follows:
n: 

207660842355486227332694882758846056768588823659978490918455874255479360072719223571560601960627669259933221901785

05974392627
Y0: -1235968266724011336173423
Y1:  25826703503071
c0: -6752457784721708041933315518400
c1:  65470140297054341898845356
c2:  1163854576425161625392
c3:  447583726895349
c4: -11493947732
c5:  7200
skew: 315435.66
type: gnfs
rlim: 6900000
alim: 6900000
lbpr: 27
lbpa: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5Factor base limits: 6900000/6900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [3450000, 7050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 997410 x 997635
Total sieving time: 90.31 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 2.34 hours.
Time per square root: 0.42 hours.
Prototype def-par.txt line would be:
gnfs,124,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6900000,6900000,27,27,52,52,2.5,2.5,100000
total time: 93.26 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Justin CardOctober 17, 2008 13:42:41 UTC 2008 年 10 月 17 日 (金) 22 時 42 分 41 秒 (日本時間)
255e40--
3025e4430Serge BatalovOctober 21, 2008 05:35:00 UTC 2008 年 10 月 21 日 (火) 14 時 35 分 0 秒 (日本時間)
351e6393Justin CardOctober 25, 2008 02:30:57 UTC 2008 年 10 月 25 日 (土) 11 時 30 分 57 秒 (日本時間)
403e62229500Erik BrangerAugust 25, 2009 07:05:12 UTC 2009 年 8 月 25 日 (火) 16 時 5 分 12 秒 (日本時間)
1729Wataru SakaiAugust 26, 2009 04:29:17 UTC 2009 年 8 月 26 日 (水) 13 時 29 分 17 秒 (日本時間)

10188+179

c167

name 名前Justin Card
date 日付July 26, 2009 22:11:08 UTC 2009 年 7 月 27 日 (月) 7 時 11 分 8 秒 (日本時間)
composite number 合成数
29236196756825705984570046178024533820243975892239644578877837946904172992070299514980635998415019069671574087205586916757001765454390541489468221491344352348710530363<167>
prime factors 素因数
101101428297969763167582651911552568964064074821357008687845402353373<69>
289176891454586933473472026592329087156730099564830191435580236364586283574771523426365696790224631<99>
factorization results 素因数分解の結果
sieve over 6 days, 

Sat Jul 25 19:12:35 2009
Sat Jul 25 19:12:35 2009
Sat Jul 25 19:12:35 2009  Msieve v. 1.43
Sat Jul 25 19:12:35 2009  random seeds: d9fcc312 d1ea6900
Sat Jul 25 19:12:35 2009  factoring 29236196756825705984570046178024533820243975892239644578877837946904172992070299514980635998415019069671574087205586916757001765454390541489468221491344352348710530363 (167 digits)
Sat Jul 25 19:12:39 2009
Sat Jul 25 19:12:39 2009
Sat Jul 25 19:12:39 2009  Msieve v. 1.43
Sat Jul 25 19:12:39 2009  random seeds: ed3f30ae 2d551ca1
Sat Jul 25 19:12:39 2009  factoring 29236196756825705984570046178024533820243975892239644578877837946904172992070299514980635998415019069671574087205586916757001765454390541489468221491344352348710530363 (167 digits)
Sat Jul 25 19:12:41 2009  searching for 15-digit factors
Sat Jul 25 19:12:41 2009  commencing number field sieve (167-digit input)
Sat Jul 25 19:12:41 2009  R0: -20000000000000000000000000000000000000
Sat Jul 25 19:12:41 2009  R1:  1
Sat Jul 25 19:12:41 2009  A0:  68
Sat Jul 25 19:12:41 2009  A1:  0
Sat Jul 25 19:12:41 2009  A2:  0
Sat Jul 25 19:12:41 2009  A3:  0
Sat Jul 25 19:12:41 2009  A4:  0
Sat Jul 25 19:12:41 2009  A5:  125
Sat Jul 25 19:12:41 2009  skew 1.00, size 4.008652e-13, alpha 0.098689, combined = 4.774392e-11
Sat Jul 25 19:12:41 2009
Sat Jul 25 19:12:41 2009  commencing relation filtering
Sat Jul 25 19:12:41 2009  estimated available RAM is 972.2 MB
Sat Jul 25 19:12:41 2009  commencing duplicate removal, pass 1
Sat Jul 25 19:15:39 2009  found 151952 hash collisions in 18139084 relations
Sat Jul 25 19:17:00 2009  added 675602 free relations
Sat Jul 25 19:17:00 2009  commencing duplicate removal, pass 2
Sat Jul 25 19:17:23 2009  found 0 duplicates and 18814686 unique relations
Sat Jul 25 19:17:23 2009  memory use: 132.2 MB
Sat Jul 25 19:17:23 2009  reading ideals above 10551296
Sat Jul 25 19:17:30 2009  commencing singleton removal, initial pass
Sat Jul 25 19:21:37 2009  memory use: 298.4 MB
Sat Jul 25 19:21:37 2009  reading all ideals from disk
Sat Jul 25 19:21:41 2009  memory use: 369.4 MB
Sat Jul 25 19:21:44 2009  commencing in-memory singleton removal
Sat Jul 25 19:21:47 2009  begin with 18814686 relations and 19739995 unique ideals
Sat Jul 25 19:22:13 2009  reduce to 7464939 relations and 5902802 ideals in 19 passes
Sat Jul 25 19:22:13 2009  max relations containing the same ideal: 30
Sat Jul 25 19:22:14 2009  reading ideals above 100000
Sat Jul 25 19:22:14 2009  commencing singleton removal, initial pass
Sat Jul 25 19:24:22 2009  memory use: 149.2 MB
Sat Jul 25 19:24:22 2009  reading all ideals from disk
Sat Jul 25 19:24:27 2009  memory use: 287.9 MB
Sat Jul 25 19:24:29 2009  keeping 7293870 ideals with weight <= 200, target excess is 40024
Sat Jul 25 19:24:31 2009  commencing in-memory singleton removal
Sat Jul 25 19:24:34 2009  begin with 7470460 relations and 7293870 unique ideals
Sat Jul 25 19:24:51 2009  reduce to 7462644 relations and 7259412 ideals in 8 passes
Sat Jul 25 19:24:51 2009  max relations containing the same ideal: 200
Sat Jul 25 19:25:02 2009  removing 783390 relations and 704988 ideals in 78402 cliques
Sat Jul 25 19:25:02 2009  commencing in-memory singleton removal
Sat Jul 25 19:25:04 2009  begin with 6679254 relations and 7259412 unique ideals
Sat Jul 25 19:25:26 2009  reduce to 6620572 relations and 6494876 ideals in 11 passes
Sat Jul 25 19:25:26 2009  max relations containing the same ideal: 190
Sat Jul 25 19:25:35 2009  removing 562841 relations and 484439 ideals in 78402 cliques
Sat Jul 25 19:25:36 2009  commencing in-memory singleton removal
Sat Jul 25 19:25:38 2009  begin with 6057731 relations and 6494876 unique ideals
Sat Jul 25 19:25:52 2009  reduce to 6024322 relations and 5976634 ideals in 8 passes
Sat Jul 25 19:25:52 2009  max relations containing the same ideal: 180
Sat Jul 25 19:26:03 2009  relations with 0 large ideals: 704
Sat Jul 25 19:26:03 2009  relations with 1 large ideals: 76
Sat Jul 25 19:26:03 2009  relations with 2 large ideals: 1129
Sat Jul 25 19:26:03 2009  relations with 3 large ideals: 14195
Sat Jul 25 19:26:03 2009  relations with 4 large ideals: 101657
Sat Jul 25 19:26:03 2009  relations with 5 large ideals: 427840
Sat Jul 25 19:26:03 2009  relations with 6 large ideals: 1150165
Sat Jul 25 19:26:03 2009  relations with 7+ large ideals: 4328556
Sat Jul 25 19:26:03 2009  commencing 2-way merge
Sat Jul 25 19:26:15 2009  reduce to 3653878 relation sets and 3606190 unique ideals
Sat Jul 25 19:26:15 2009  commencing full merge
Sat Jul 25 19:28:47 2009  memory use: 449.3 MB
Sat Jul 25 19:28:48 2009  found 1907384 cycles, need 1902390
Sat Jul 25 19:28:51 2009  weight of 1902390 cycles is about 133337095 (70.09/cycle)
Sat Jul 25 19:28:51 2009  distribution of cycle lengths:
Sat Jul 25 19:28:51 2009  1 relations: 218410
Sat Jul 25 19:28:51 2009  2 relations: 247296
Sat Jul 25 19:28:51 2009  3 relations: 242476
Sat Jul 25 19:28:51 2009  4 relations: 209739
Sat Jul 25 19:28:51 2009  5 relations: 179661
Sat Jul 25 19:28:51 2009  6 relations: 147072
Sat Jul 25 19:28:51 2009  7 relations: 124095
Sat Jul 25 19:28:51 2009  8 relations: 103425
Sat Jul 25 19:28:51 2009  9 relations: 85413
Sat Jul 25 19:28:51 2009  10+ relations: 344803
Sat Jul 25 19:28:51 2009  heaviest cycle: 27 relations
Sat Jul 25 19:28:51 2009  commencing cycle optimization
Sat Jul 25 19:28:57 2009  start with 11102912 relations
Sat Jul 25 19:29:48 2009  pruned 252249 relations
Sat Jul 25 19:29:48 2009  memory use: 362.4 MB
Sat Jul 25 19:29:48 2009  distribution of cycle lengths:
Sat Jul 25 19:29:48 2009  1 relations: 218410
Sat Jul 25 19:29:48 2009  2 relations: 252454
Sat Jul 25 19:29:48 2009  3 relations: 250838
Sat Jul 25 19:29:48 2009  4 relations: 213542
Sat Jul 25 19:29:48 2009  5 relations: 182810
Sat Jul 25 19:29:48 2009  6 relations: 147901
Sat Jul 25 19:29:48 2009  7 relations: 123902
Sat Jul 25 19:29:48 2009  8 relations: 102741
Sat Jul 25 19:29:48 2009  9 relations: 84252
Sat Jul 25 19:29:48 2009  10+ relations: 325540
Sat Jul 25 19:29:48 2009  heaviest cycle: 27 relations
Sat Jul 25 19:29:54 2009  RelProcTime: 1033
Sat Jul 25 19:29:54 2009  elapsed time 00:17:15
Sat Jul 25 19:30:08 2009
Sat Jul 25 19:30:08 2009
Sat Jul 25 19:30:08 2009  Msieve v. 1.43
Sat Jul 25 19:30:08 2009  random seeds: f59dc650 7a49ec57
Sat Jul 25 19:30:08 2009  factoring 29236196756825705984570046178024533820243975892239644578877837946904172992070299514980635998415019069671574087205586916757001765454390541489468221491344352348710530363 (167 digits)
Sat Jul 25 19:30:10 2009  searching for 15-digit factors
Sat Jul 25 19:30:10 2009  commencing number field sieve (167-digit input)
Sat Jul 25 19:30:10 2009  R0: -20000000000000000000000000000000000000
Sat Jul 25 19:30:10 2009  R1:  1
Sat Jul 25 19:30:10 2009  A0:  68
Sat Jul 25 19:30:10 2009  A1:  0
Sat Jul 25 19:30:10 2009  A2:  0
Sat Jul 25 19:30:10 2009  A3:  0
Sat Jul 25 19:30:10 2009  A4:  0
Sat Jul 25 19:30:10 2009  A5:  125
Sat Jul 25 19:30:10 2009  skew 1.00, size 4.008652e-13, alpha 0.098689, combined = 4.774392e-11
Sat Jul 25 19:30:10 2009
Sat Jul 25 19:30:10 2009  commencing linear algebra
Sat Jul 25 19:30:11 2009  read 1902390 cycles
Sat Jul 25 19:30:16 2009  cycles contain 5965208 unique relations
Sat Jul 25 19:32:01 2009  read 5965208 relations
Sat Jul 25 19:33:00 2009  using 20 quadratic characters above 268434500
Sat Jul 25 19:33:58 2009  building initial matrix
Sat Jul 25 19:36:15 2009  memory use: 732.8 MB
Sat Jul 25 19:36:20 2009  read 1902390 cycles
Sat Jul 25 19:36:28 2009  matrix is 1902213 x 1902390 (570.9 MB) with weight 169455496 (89.08/col)
Sat Jul 25 19:36:28 2009  sparse part has weight 128720555 (67.66/col)
Sat Jul 25 19:37:31 2009  filtering completed in 2 passes
Sat Jul 25 19:37:32 2009  matrix is 1901602 x 1901778 (570.8 MB) with weight 169437007 (89.09/col)
Sat Jul 25 19:37:32 2009  sparse part has weight 128715828 (67.68/col)
Sat Jul 25 19:38:00 2009  read 1901778 cycles
Sat Jul 25 19:38:09 2009  matrix is 1901602 x 1901778 (570.8 MB) with weight 169437007 (89.09/col)
Sat Jul 25 19:38:09 2009  sparse part has weight 128715828 (67.68/col)
Sat Jul 25 19:38:09 2009  saving the first 48 matrix rows for later
Sat Jul 25 19:38:11 2009  matrix is 1901554 x 1901778 (541.8 MB) with weight 134697483 (70.83/col)
Sat Jul 25 19:38:11 2009  sparse part has weight 123006791 (64.68/col)
Sat Jul 25 19:38:11 2009  matrix includes 64 packed rows
Sat Jul 25 19:38:11 2009  using block size 10922 for processor cache size 256 kB
Sat Jul 25 19:38:23 2009  commencing Lanczos iteration
Sat Jul 25 19:38:23 2009  memory use: 538.2 MB
Sat Jul 25 19:39:31 2009  lanczos halted after 23 iterations (dim = 1460)
Sat Jul 25 19:39:31 2009  BLanczosTime: 561
Sat Jul 25 19:39:31 2009  elapsed time 00:09:23
Sat Jul 25 19:40:06 2009
Sat Jul 25 19:40:06 2009
Sat Jul 25 19:40:06 2009  Msieve v. 1.43
Sat Jul 25 19:40:06 2009  random seeds: eb58ec47 f7b10534
Sat Jul 25 19:40:06 2009  factoring 29236196756825705984570046178024533820243975892239644578877837946904172992070299514980635998415019069671574087205586916757001765454390541489468221491344352348710530363 (167 digits)
Sat Jul 25 19:40:08 2009  searching for 15-digit factors
Sat Jul 25 19:40:08 2009  commencing number field sieve (167-digit input)
Sat Jul 25 19:40:08 2009  R0: -20000000000000000000000000000000000000
Sat Jul 25 19:40:08 2009  R1:  1
Sat Jul 25 19:40:08 2009  A0:  68
Sat Jul 25 19:40:08 2009  A1:  0
Sat Jul 25 19:40:08 2009  A2:  0
Sat Jul 25 19:40:08 2009  A3:  0
Sat Jul 25 19:40:08 2009  A4:  0
Sat Jul 25 19:40:08 2009  A5:  125
Sat Jul 25 19:40:08 2009  skew 1.00, size 4.008652e-13, alpha 0.098689, combined = 4.774392e-11
Sat Jul 25 19:40:08 2009
Sat Jul 25 19:40:08 2009  commencing linear algebra
Sat Jul 25 19:40:09 2009  read 1901778 cycles
Sat Jul 25 19:40:14 2009  cycles contain 5965168 unique relations
Sat Jul 25 19:41:38 2009  read 5965168 relations
Sat Jul 25 19:42:42 2009  using 20 quadratic characters above 268434500
Sat Jul 25 19:43:41 2009  building initial matrix
Sat Jul 25 19:46:58 2009  memory use: 732.8 MB
Sat Jul 25 19:47:03 2009  read 1901778 cycles
Sat Jul 25 19:47:11 2009  matrix is 1901602 x 1901778 (570.8 MB) with weight 169437007 (89.09/col)
Sat Jul 25 19:47:11 2009  sparse part has weight 128715828 (67.68/col)
Sat Jul 25 19:47:41 2009  filtering completed in 1 passes
Sat Jul 25 19:47:42 2009  matrix is 1901602 x 1901778 (570.8 MB) with weight 169437007 (89.09/col)
Sat Jul 25 19:47:42 2009  sparse part has weight 128715828 (67.68/col)
Sat Jul 25 19:48:09 2009  read 1901778 cycles
Sat Jul 25 19:48:17 2009  matrix is 1901602 x 1901778 (570.8 MB) with weight 169437007 (89.09/col)
Sat Jul 25 19:48:17 2009  sparse part has weight 128715828 (67.68/col)
Sat Jul 25 19:48:18 2009  saving the first 48 matrix rows for later
Sat Jul 25 19:48:19 2009  matrix is 1901554 x 1901778 (541.8 MB) with weight 134697483 (70.83/col)
Sat Jul 25 19:48:19 2009  sparse part has weight 123006791 (64.68/col)
Sat Jul 25 19:48:19 2009  matrix includes 64 packed rows
Sat Jul 25 19:48:19 2009  using block size 10922 for processor cache size 256 kB
Sat Jul 25 19:48:31 2009  commencing Lanczos iteration (2 threads)
Sat Jul 25 19:48:31 2009  memory use: 552.7 MB
Sun Jul 26 15:44:14 2009
Sun Jul 26 15:44:14 2009
Sun Jul 26 15:44:14 2009  Msieve v. 1.43
Sun Jul 26 15:44:14 2009  random seeds: eccd68a9 d80b29f0
Sun Jul 26 15:44:14 2009  factoring 29236196756825705984570046178024533820243975892239644578877837946904172992070299514980635998415019069671574087205586916757001765454390541489468221491344352348710530363 (167 digits)
Sun Jul 26 15:44:17 2009  searching for 15-digit factors
Sun Jul 26 15:44:18 2009  commencing number field sieve (167-digit input)
Sun Jul 26 15:44:19 2009  R0: -20000000000000000000000000000000000000
Sun Jul 26 15:44:19 2009  R1:  1
Sun Jul 26 15:44:19 2009  A0:  68
Sun Jul 26 15:44:19 2009  A1:  0
Sun Jul 26 15:44:19 2009  A2:  0
Sun Jul 26 15:44:19 2009  A3:  0
Sun Jul 26 15:44:19 2009  A4:  0
Sun Jul 26 15:44:19 2009  A5:  125
Sun Jul 26 15:44:19 2009  skew 1.00, size 4.008652e-13, alpha 0.098689, combined = 4.774392e-11
Sun Jul 26 15:44:19 2009
Sun Jul 26 15:44:19 2009  commencing linear algebra
Sun Jul 26 15:44:20 2009  read 1901778 cycles
Sun Jul 26 15:45:51 2009  matrix is 1901602 x 1901778 (570.8 MB) with weight 169437007 (89.09/col)
Sun Jul 26 15:45:51 2009  sparse part has weight 128715828 (67.68/col)
Sun Jul 26 15:45:56 2009  saving the first 48 matrix rows for later
Sun Jul 26 15:47:30 2009  matrix is 1901554 x 1901778 (541.8 MB) with weight 134697483 (70.83/col)
Sun Jul 26 15:47:30 2009  sparse part has weight 123006791 (64.68/col)
Sun Jul 26 15:47:30 2009  matrix includes 64 packed rows
Sun Jul 26 15:47:30 2009  using block size 10922 for processor cache size 256 kB
Sun Jul 26 15:51:08 2009  commencing Lanczos iteration
Sun Jul 26 15:51:08 2009  memory use: 538.2 MB
Sun Jul 26 15:51:15 2009  restarting at iteration 23725 (dim = 1500119)
Sun Jul 26 16:14:59 2009  lanczos halted after 23730 iterations (dim = 1500436)
Sun Jul 26 16:17:00 2009  BLanczosTime: 1961
Sun Jul 26 16:17:00 2009  elapsed time 00:32:46
Sun Jul 26 17:40:20 2009  lanczos halted after 30075 iterations (dim = 1901553)
Sun Jul 26 17:40:29 2009  recovered 38 nontrivial dependencies
Sun Jul 26 17:40:29 2009  BLanczosTime: 79221
Sun Jul 26 17:40:29 2009  elapsed time 22:00:23
Sun Jul 26 17:40:40 2009
Sun Jul 26 17:40:40 2009
Sun Jul 26 17:40:40 2009  Msieve v. 1.43
Sun Jul 26 17:40:40 2009  random seeds: 40f05cc9 dbd37a0e
Sun Jul 26 17:40:40 2009  factoring 29236196756825705984570046178024533820243975892239644578877837946904172992070299514980635998415019069671574087205586916757001765454390541489468221491344352348710530363 (167 digits)
Sun Jul 26 17:40:42 2009  searching for 15-digit factors
Sun Jul 26 17:40:43 2009  commencing number field sieve (167-digit input)
Sun Jul 26 17:40:43 2009  R0: -20000000000000000000000000000000000000
Sun Jul 26 17:40:43 2009  R1:  1
Sun Jul 26 17:40:43 2009  A0:  68
Sun Jul 26 17:40:43 2009  A1:  0
Sun Jul 26 17:40:43 2009  A2:  0
Sun Jul 26 17:40:43 2009  A3:  0
Sun Jul 26 17:40:43 2009  A4:  0
Sun Jul 26 17:40:43 2009  A5:  125
Sun Jul 26 17:40:43 2009  skew 1.00, size 4.008652e-13, alpha 0.098689, combined = 4.774392e-11
Sun Jul 26 17:40:43 2009
Sun Jul 26 17:40:43 2009  commencing square root phase
Sun Jul 26 17:40:43 2009  reading relations for dependency 1
Sun Jul 26 17:40:44 2009  read 952156 cycles
Sun Jul 26 17:40:47 2009  cycles contain 3664144 unique relations
Sun Jul 26 17:41:31 2009  read 3664144 relations
Sun Jul 26 17:42:00 2009  multiplying 2983448 relations
Sun Jul 26 17:50:53 2009  multiply complete, coefficients have about 87.65 million bits
Sun Jul 26 17:50:55 2009  initial square root is modulo 1956611
Sun Jul 26 18:03:12 2009  sqrtTime: 1349
Sun Jul 26 18:03:12 2009  prp69 factor: 101101428297969763167582651911552568964064074821357008687845402353373
Sun Jul 26 18:03:12 2009  prp99 factor: 289176891454586933473472026592329087156730099564830191435580236364586283574771523426365696790224631
Sun Jul 26 18:03:12 2009  elapsed time 00:22:32
software ソフトウェア
cado-nfs for sieving, msieve 1.43 for postprocessing
execution environment 実行環境
Athlon 64 x2 2800+, 1 GB RAM, Linux

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Justin CardSeptember 24, 2008 22:11:05 UTC 2008 年 9 月 25 日 (木) 7 時 11 分 5 秒 (日本時間)
255e421496Justin CardSeptember 24, 2008 22:12:41 UTC 2008 年 9 月 25 日 (木) 7 時 12 分 41 秒 (日本時間)
118Justin CardOctober 25, 2008 02:16:58 UTC 2008 年 10 月 25 日 (土) 11 時 16 分 58 秒 (日本時間)

10189+179

c179

name 名前yoyo@home
date 日付March 8, 2010 04:05:49 UTC 2010 年 3 月 8 日 (月) 13 時 5 分 49 秒 (日本時間)
composite number 合成数
21958906088608981321695433530728218215090199741813458065495722066366833100600692351735304214843570352216418621025344044037211006170418991813902091046013306425893773538258824353777<179>
prime factors 素因数
357738966897234339137955830048844659966877037619<48>
composite cofactor 合成数の残り
61382483096723966227820877697687810857518878999648127411855677031402259915632422175619198914516551426478990862463180967782639140683<131>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 21958906088608981321695433530728218215090199741813458065495722066366833100600692351735304214843570352216418621025344044037211006170418991813902091046013306425893773538258824353777 (179 digits)
[Sun Mar 07 01:48:26 2010]
Using MODMULN
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2533385006
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
20   25      30      35      40      45      50      55      60      65
2       5       14      55      246     1277    7553    49797   358989  2841353
Step 1 took 217500ms
Using 22 small primes for NTT
Estimated memory usage: 252M
Initializing tables of differences for F took 47ms
Computing roots of F took 6110ms
Building F from its roots took 8547ms
Computing 1/F took 4016ms
Initializing table of differences for G took 78ms
Computing roots of G took 5094ms
Building G from its roots took 7312ms
Computing roots of G took 4969ms
Building G from its roots took 7265ms
Computing G * H took 2328ms
Reducing  G * H mod F took 2187ms
Computing roots of G took 5000ms
Building G from its roots took 7328ms
Computing G * H took 2313ms
Reducing  G * H mod F took 2187ms
Computing roots of G took 4953ms
Building G from its roots took 7266ms
Computing G * H took 2250ms
Reducing  G * H mod F took 2187ms
Computing roots of G took 4938ms
Building G from its roots took 7266ms
Computing G * H took 2328ms
Reducing  G * H mod F took 2172ms
Computing polyeval(F,G) took 14438ms
Computing product of all F(g_i) took 78ms
Step 2 took 113547ms
********** Factor found in step 2: 357738966897234339137955830048844659966877037619
Found probable prime factor of 48 digits: 357738966897234339137955830048844659966877037619
Composite cofactor 61382483096723966227820877697687810857518878999648127411855677031402259915632422175619198914516551426478990862463180967782639140683 has 131 digits
software ソフトウェア
GMP-ECM

c131

name 名前yoyo@home
date 日付March 19, 2010 18:36:43 UTC 2010 年 3 月 20 日 (土) 3 時 36 分 43 秒 (日本時間)
composite number 合成数
61382483096723966227820877697687810857518878999648127411855677031402259915632422175619198914516551426478990862463180967782639140683<131>
prime factors 素因数
160717173274484832013008581688270884964629777274171731969<57>
381928588252920313874936828281346242422917669666002112749086884609312780107<75>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 21958906088608981321695433530728218215090199741813458065495722066366833100600692351735304214843570352216418621025344044037211006170418991813902091046013306425893773538258824353777 (179 digits)
[Sun Mar 07 01:48:26 2010]
Using MODMULN
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2533385006
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
20   25      30      35      40      45      50      55      60      65
2       5       14      55      246     1277    7553    49797   358989  2841353
Step 1 took 217500ms
Using 22 small primes for NTT
Estimated memory usage: 252M
Initializing tables of differences for F took 47ms
Computing roots of F took 6110ms
Building F from its roots took 8547ms
Computing 1/F took 4016ms
Initializing table of differences for G took 78ms
Computing roots of G took 5094ms
Building G from its roots took 7312ms
Computing roots of G took 4969ms
Building G from its roots took 7265ms
Computing G * H took 2328ms
Reducing  G * H mod F took 2187ms
Computing roots of G took 5000ms
Building G from its roots took 7328ms
Computing G * H took 2313ms
Reducing  G * H mod F took 2187ms
Computing roots of G took 4953ms
Building G from its roots took 7266ms
Computing G * H took 2250ms
Reducing  G * H mod F took 2187ms
Computing roots of G took 4938ms
Building G from its roots took 7266ms
Computing G * H took 2328ms
Reducing  G * H mod F took 2172ms
Computing polyeval(F,G) took 14438ms
Computing product of all F(g_i) took 78ms
Step 2 took 113547ms
********** Factor found in step 2: 357738966897234339137955830048844659966877037619
Found probable prime factor of 48 digits: 357738966897234339137955830048844659966877037619
Composite cofactor 61382483096723966227820877697687810857518878999648127411855677031402259915632422175619198914516551426478990862463180967782639140683 has 131 digits

GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 61382483096723966227820877697687810857518878999648127411855677031402259915632422175619198914516551426478990862463180967782639140683 (131 digits)
[Fri Mar 19 15:39:37 2010]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=3567453223
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
20     25      30      35      40      45      50      55      60      65
2       4       10      34      135     613     3133    17769   111196  751771
Step 1 took 348000ms
Using 17 small primes for NTT
Estimated memory usage: 389M
Initializing tables of differences for F took 234ms
Computing roots of F took 23547ms
Building F from its roots took 14250ms
Computing 1/F took 6328ms
Initializing table of differences for G took 203ms
Computing roots of G took 19890ms
Building G from its roots took 12407ms
Computing roots of G took 19843ms
Building G from its roots took 12328ms
Computing G * H took 3609ms
Reducing  G * H mod F took 3469ms
Computing roots of G took 19781ms
Building G from its roots took 12344ms
Computing G * H took 3657ms
Reducing  G * H mod F took 3484ms
Computing roots of G took 19734ms
Building G from its roots took 12375ms
Computing G * H took 3609ms
Reducing  G * H mod F took 3453ms
Computing polyeval(F,G) took 23766ms
Computing product of all F(g_i) took 109ms
Step 2 took 219984ms
********** Factor found in step 2: 160717173274484832013008581688270884964629777274171731969
Found probable prime factor of 57 digits: 160717173274484832013008581688270884964629777274171731969
Probable prime cofactor 381928588252920313874936828281346242422917669666002112749086884609312780107 has 75 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
2011e374Luigi MorelliJanuary 28, 2009 11:45:56 UTC 2009 年 1 月 28 日 (水) 20 時 45 分 56 秒 (日本時間)
255e4204Luigi MorelliJanuary 28, 2009 11:50:12 UTC 2009 年 1 月 28 日 (水) 20 時 50 分 12 秒 (日本時間)
3025e4403Sinkiti SibataFebruary 22, 2009 12:17:14 UTC 2009 年 2 月 22 日 (日) 21 時 17 分 14 秒 (日本時間)
351e6902Sinkiti SibataFebruary 22, 2009 12:17:14 UTC 2009 年 2 月 22 日 (日) 21 時 17 分 14 秒 (日本時間)
403e62350Sinkiti SibataFebruary 22, 2009 12:17:14 UTC 2009 年 2 月 22 日 (日) 21 時 17 分 14 秒 (日本時間)
4511e60--
5043e674671117yoyo@homeJanuary 15, 2010 04:43:02 UTC 2010 年 1 月 15 日 (金) 13 時 43 分 2 秒 (日本時間)
1820yoyo@homeMarch 12, 2010 17:07:33 UTC 2010 年 3 月 13 日 (土) 2 時 7 分 33 秒 (日本時間)
4530yoyo@homeMarch 18, 2010 16:45:22 UTC 2010 年 3 月 19 日 (金) 1 時 45 分 22 秒 (日本時間)

10192+179

c179

name 名前yoyo@home
date 日付March 16, 2010 17:59:21 UTC 2010 年 3 月 17 日 (水) 2 時 59 分 21 秒 (日本時間)
composite number 合成数
99199018036574176028646980289867574094544828753519594080981747346919975752061110460212979741493363451746059921544994228560919814158223128194594538809139908884768901170633433423243<179>
prime factors 素因数
44922173796158736537335306540708025830794886933<47>
2208241713473282858794869331813782436305401426915355846631836626397951822383244836337234511449362853440912603008927776617652628247071<133>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 99199018036574176028646980289867574094544828753519594080981747346919975752061110460212979741493363451746059921544994228560919814158223128194594538809139908884768901170633433423243 (179 digits)
[Tue Mar 16 03:33:19 2010]
Using MODMULN
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3357491682
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
20   25      30      35      40      45      50      55      60      65
2       5       14      55      246     1277    7553    49797   358989  2841353
Step 1 took 219000ms
Using 22 small primes for NTT
Estimated memory usage: 252M
Initializing tables of differences for F took 47ms
Computing roots of F took 6000ms
Building F from its roots took 8484ms
Computing 1/F took 4000ms
Initializing table of differences for G took 78ms
Computing roots of G took 4828ms
Building G from its roots took 7265ms
Computing roots of G took 4828ms
Building G from its roots took 7234ms
Computing G * H took 2312ms
Reducing  G * H mod F took 2219ms
Computing roots of G took 4844ms
Building G from its roots took 7250ms
Computing G * H took 2265ms
Reducing  G * H mod F took 2188ms
Computing roots of G took 4812ms
Building G from its roots took 7266ms
Computing G * H took 2328ms
Reducing  G * H mod F took 2187ms
Computing roots of G took 4828ms
Building G from its roots took 7250ms
Computing G * H took 2328ms
Reducing  G * H mod F took 2188ms
Computing polyeval(F,G) took 14219ms
Computing product of all F(g_i) took 62ms
Step 2 took 112109ms
********** Factor found in step 2: 44922173796158736537335306540708025830794886933
Found probable prime factor of 47 digits: 44922173796158736537335306540708025830794886933
Probable prime cofactor 2208241713473282858794869331813782436305401426915355846631836626397951822383244836337234511449362853440912603008927776617652628247071 has 133 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
2011e374Justin CardOctober 24, 2008 23:18:38 UTC 2008 年 10 月 25 日 (土) 8 時 18 分 38 秒 (日本時間)
255e4214Justin CardOctober 24, 2008 23:19:02 UTC 2008 年 10 月 25 日 (土) 8 時 19 分 2 秒 (日本時間)
3025e4402Andreas TeteJuly 26, 2009 22:48:22 UTC 2009 年 7 月 27 日 (月) 7 時 48 分 22 秒 (日本時間)
351e60--
403e62341295Makoto KamadaDecember 15, 2009 06:42:40 UTC 2009 年 12 月 15 日 (火) 15 時 42 分 40 秒 (日本時間)
306yoyoDecember 16, 2009 20:01:20 UTC 2009 年 12 月 17 日 (木) 5 時 1 分 20 秒 (日本時間)
1740yoyo@homeMarch 12, 2010 16:49:11 UTC 2010 年 3 月 13 日 (土) 1 時 49 分 11 秒 (日本時間)
4511e64340yoyo@homeMarch 12, 2010 16:56:49 UTC 2010 年 3 月 13 日 (土) 1 時 56 分 49 秒 (日本時間)

10193+179

c141

name 名前Erik Branger
date 日付March 12, 2011 15:46:25 UTC 2011 年 3 月 13 日 (日) 0 時 46 分 25 秒 (日本時間)
composite number 合成数
146152334736754090451043910768667430319596427078609274288397123031829202523758034237827222211714513953682474342909131802707297117629673838553<141>
prime factors 素因数
14134605493505458443815298458823667561067169392913901795247516363<65>
10340036359975372944321988055745271555477393526578538194952519731459351265131<77>
factorization results 素因数分解の結果
Number: 11113_193
N = 146152334736754090451043910768667430319596427078609274288397123031829202523758034237827222211714513953682474342909131802707297117629673838553 (141 digits)
SNFS difficulty: 194 digits.
Divisors found:
r1=14134605493505458443815298458823667561067169392913901795247516363 (pp65)
r2=10340036359975372944321988055745271555477393526578538194952519731459351265131 (pp77)
Version: Msieve v. 1.48
Total time: 309.34 hours.
Factorization parameters were as follows:
n: 146152334736754090451043910768667430319596427078609274288397123031829202523758034237827222211714513953682474342909131802707297117629673838553
m: 100000000000000000000000000000000000000
deg: 5
c5: 1000
c0: 17
skew: 0.44
type: snfs
lss: 1
rlim: 11500000
alim: 11500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11500000/11500000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [5750000, 18950000)
Relations: 24135309
Relations in full relation-set: 3998712 relations
Pruned matrix : 2450189 x 2450414
Polynomial selection time: 0.00 hours.
Total sieving time: 301.39 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 5.74 hours.
time per square root: 2.02 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Justin CardOctober 25, 2008 02:19:19 UTC 2008 年 10 月 25 日 (土) 11 時 19 分 19 秒 (日本時間)
255e4214Justin CardOctober 25, 2008 02:19:19 UTC 2008 年 10 月 25 日 (土) 11 時 19 分 19 秒 (日本時間)
3025e4740339Justin CardOctober 25, 2008 02:19:19 UTC 2008 年 10 月 25 日 (土) 11 時 19 分 19 秒 (日本時間)
401Ignacio SantosMarch 12, 2010 14:27:16 UTC 2010 年 3 月 12 日 (金) 23 時 27 分 16 秒 (日本時間)
351e6344Ignacio SantosMarch 12, 2010 15:25:10 UTC 2010 年 3 月 13 日 (土) 0 時 25 分 10 秒 (日本時間)
403e62240150Ignacio SantosMarch 12, 2010 15:01:10 UTC 2010 年 3 月 13 日 (土) 0 時 1 分 10 秒 (日本時間)
2090yoyo@homeMarch 14, 2010 07:47:46 UTC 2010 年 3 月 14 日 (日) 16 時 47 分 46 秒 (日本時間)
4511e64420yoyo@homeMarch 18, 2010 16:49:39 UTC 2010 年 3 月 19 日 (金) 1 時 49 分 39 秒 (日本時間)
5043e67460yoyo@homeMarch 18, 2010 16:50:23 UTC 2010 年 3 月 19 日 (金) 1 時 50 分 23 秒 (日本時間)
5511e714820yoyo@homeApril 5, 2010 19:17:22 UTC 2010 年 4 月 6 日 (火) 4 時 17 分 22 秒 (日本時間)
6026e710010 / 35471yoyo@homeApril 21, 2010 19:03:20 UTC 2010 年 4 月 22 日 (木) 4 時 3 分 20 秒 (日本時間)

10195+179

c185

name 名前Serge Batalov
date 日付February 14, 2009 03:08:58 UTC 2009 年 2 月 14 日 (土) 12 時 8 分 58 秒 (日本時間)
composite number 合成数
32112758280359074778400364810208229470457183424146269322674921064671732874512948167491811874362650921250522137754528029030398991988635684821917480116528219787697562759143892018230138119<185>
prime factors 素因数
180219932950749045834203315868394030019<39>
178186495547831158629886584868040389093978707544314165250237649071872527239633949856494301323944055336016195990546166140103456946868516762554689901<147>
factorization results 素因数分解の結果
Using B1=11000000, B2=96175819756, polynomial Dickson(12), sigma=410370439
Step 1 took 58922ms
Step 2 took 44850ms
********** Factor found in step 2: 180219932950749045834203315868394030019
Found probable prime factor of 39 digits: 180219932950749045834203315868394030019
Probable prime cofactor has 147 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Justin CardOctober 24, 2008 23:18:12 UTC 2008 年 10 月 25 日 (土) 8 時 18 分 12 秒 (日本時間)
255e4214Justin CardOctober 25, 2008 02:23:00 UTC 2008 年 10 月 25 日 (土) 11 時 23 分 0 秒 (日本時間)
3025e4372 / 402Justin CardOctober 25, 2008 02:23:00 UTC 2008 年 10 月 25 日 (土) 11 時 23 分 0 秒 (日本時間)

10198+179

c179

name 名前suberi
date 日付April 29, 2007 11:12:48 UTC 2007 年 4 月 29 日 (日) 20 時 12 分 48 秒 (日本時間)
composite number 合成数
22539582015218238341747144553929093064362151853366588165838362780265907058543434440965367110367706159771289650473754551669118999992362176597616373385375748129059169161454576236991<179>
prime factors 素因数
1106470306688059445573370198780657763<37>
20370706632593519622375724577942747394309044829544818549592211014459360143604890305766200820243688122193921133924400853893810356993408166701557<143>
factorization results 素因数分解の結果
Input number is 22539582015218238341747144553929093064362151853366588165838362780265907058543434440965367110367706159771289650473754551669118999992362176597616373385375748129059169161454576236991 (179 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3061483303
Step 1 took 86300ms
Step 2 took 34008ms
********** Factor found in step 2: 1106470306688059445573370198780657763
Found probable prime factor of 37 digits: 1106470306688059445573370198780657763
Probable prime cofactor 20370706632593519622375724577942747394309044829544818549592211014459360143604890305766200820243688122193921133924400853893810356993408166701557 has 143 digits
software ソフトウェア
GMP-ECM 6.1.2
execution environment 実行環境
Sempron 3400+ 1.80GHz, Windows Vista

10199+179

c140

name 名前Serge Batalov
date 日付February 14, 2009 03:21:19 UTC 2009 年 2 月 14 日 (土) 12 時 21 分 19 秒 (日本時間)
composite number 合成数
52114855818627273784665905718435775931825142980549134209824658135179401498225871520825691993065270825222298463381748305188842776996682367711<140>
prime factors 素因数
22030472258797275743537418347333146628457907<44>
34282597905119932900091785459591793403348759523<47>
69002370162380621152740212076872714098090972363351<50>
factorization results 素因数分解の結果
Using B1=11000000, B2=96175819756, polynomial Dickson(12), sigma=1005177743
Step 1 took 43500ms
Step 2 took 35167ms
********** Factor found in step 2: 34282597905119932900091785459591793403348759523
Found probable prime factor of 47 digits: 34282597905119932900091785459591793403348759523
Composite cofactor has 94 digits

N=1520154801653587145519307402953669982384665387658339424932743614496399400375403119312412966357
  ( 94 digits)
Divisors found:
 r1=22030472258797275743537418347333146628457907 (pp44)
 r2=69002370162380621152740212076872714098090972363351 (pp50)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.951).
Factorization parameters were as follows:
name: t
n:  1520154801653587145519307402953669982384665387658339424932743614496399400375403119312412966357
m:  2670485256132997099992
deg: 4
c4: 29890080
c3: -13117314349
c2: -242242966401244948
c1: 324114490938892144
c0: 357487177208619254665813
skew: 1635.250
type: gnfs
# adj. I(F,S) = 53.124
# E(F1,F2) = 6.714689e-05
# GGNFS version 0.77.1-20060722-k8 polyselect.
# Options were:
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1234577083.
# 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, 1200001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 140362 x 140589
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,93,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 3.00 hours.
software ソフトウェア
GMP-ECM 6.2.1, Msieve-1.39 gnfs
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

10201+179

c177

name 名前Makoto Kamada
date 日付December 15, 2009 06:39:25 UTC 2009 年 12 月 15 日 (火) 15 時 39 分 25 秒 (日本時間)
composite number 合成数
174249107424901328154797173904681562657513437449116292897023905780144007058356290870928174957782571238810560254724268067008224047626355412568808491125189068775485687967752135137<177>
prime factors 素因数
434937654132758116503430906897943<33>
composite cofactor 合成数の残り
400630080585560047283559589031720836640469685776195262402744444159188517127238066932342627397734279890091910596475172516678632844545173721295559<144>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 174249107424901328154797173904681562657513437449116292897023905780144007058356290870928174957782571238810560254724268067008224047626355412568808491125189068775485687967752135137 (177 digits)
[Mon Dec 14 18:53:21 2009]
Using MODMULN
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3868083629
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
20  25      30      35      40      45      50      55      60      65
3       11      54      322     2350    20265   199745  2246256 2.8e+007        4e+008
Step 1 took 15735ms
Using 22 small primes for NTT
Estimated memory usage: 60M
Initializing tables of differences for F took 15ms
Computing roots of F took 750ms
Building F from its roots took 1672ms
Computing 1/F took 890ms
Initializing table of differences for G took 16ms
Computing roots of G took 687ms
Building G from its roots took 1453ms
Computing roots of G took 688ms
Building G from its roots took 1453ms
Computing G * H took 532ms
Reducing  G * H mod F took 515ms
Computing polyeval(F,G) took 2812ms
Computing product of all F(g_i) took 16ms
Step 2 took 11671ms
********** Factor found in step 2: 434937654132758116503430906897943
Found probable prime factor of 33 digits: 434937654132758116503430906897943
Composite cofactor 400630080585560047283559589031720836640469685776195262402744444159188517127238066932342627397734279890091910596475172516678632844545173721295559 has 144 digits
software ソフトウェア
yoyo@home

c144

name 名前yoyo@home, UA_ReMMeR
date 日付March 14, 2010 19:26:33 UTC 2010 年 3 月 15 日 (月) 4 時 26 分 33 秒 (日本時間)
composite number 合成数
400630080585560047283559589031720836640469685776195262402744444159188517127238066932342627397734279890091910596475172516678632844545173721295559<144>
prime factors 素因数
98734944290675932774070974771995093114521<41>
4057632112558893517086301952318823156714640496509100865104765341440157762713744235625557003599706640479<103>
factorization results 素因数分解の結果
GMP-ECM 6.2 [powered by GMP 4.2.2] [ECM]
Running on sand
Input number is 400630080585560047283559589031720836640469685776195262402744444159188517127238066932342627397734279890091910596475172516678632844545173721295559 (144 digits)
[Sun Mar 14 13:00:30 2010]
Using MODMULN
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3453697785
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits:
20    25      30      35      40      45      50      55      60      65
2       7       26      122     681     4480    33652   283939  2655154 2.7e+07
Step 1 took 60555ms
Using 18 small primes for NTT
Estimated memory usage: 102M
Initializing tables of differences for F took 56ms
Computing roots of F took 1736ms
Building F from its roots took 5189ms
Computing 1/F took 3732ms
Initializing table of differences for G took 48ms
Computing roots of G took 1504ms
Building G from its roots took 5560ms
Computing roots of G took 1496ms
Building G from its roots took 5573ms
Computing G * H took 1996ms
Reducing  G * H mod F took 2060ms
Computing roots of G took 1500ms
Building G from its roots took 5573ms
Computing G * H took 1992ms
Reducing  G * H mod F took 2064ms
Computing polyeval(F,G) took 11116ms
Computing product of all F(g_i) took 16ms
Step 2 took 51343ms
********** Factor found in step 2: 98734944290675932774070974771995093114521
Found probable prime factor of 41 digits: 98734944290675932774070974771995093114521
Probable prime cofactor 4057632112558893517086301952318823156714640496509100865104765341440157762713744235625557003599706640479 has 103 digits
software ソフトウェア
GMP-ECM 6.2 [powered by GMP 4.2.2] [ECM]
execution environment 実行環境
CPU type        AuthenticAMD
AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ [Family 15 Model 67 Stepping 3]
Number of CPUs   2
Operating System        Linux
2.6.33-rc8
Memory       2004.3 MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6273118Makoto KamadaFebruary 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)
155Ignacio SantosMarch 12, 2010 16:45:32 UTC 2010 年 3 月 13 日 (土) 1 時 45 分 32 秒 (日本時間)
403e62285225yoyoDecember 16, 2009 20:05:51 UTC 2009 年 12 月 17 日 (木) 5 時 5 分 51 秒 (日本時間)
60Ignacio SantosMarch 12, 2010 16:45:32 UTC 2010 年 3 月 13 日 (土) 1 時 45 分 32 秒 (日本時間)
2000yoyo@homeMarch 14, 2010 07:48:49 UTC 2010 年 3 月 14 日 (日) 16 時 48 分 49 秒 (日本時間)

10202+179

c158

name 名前yoyo@home
date 日付March 24, 2010 11:28:40 UTC 2010 年 3 月 24 日 (水) 20 時 28 分 40 秒 (日本時間)
composite number 合成数
27364579939240990521640721345012862712815877004452899719074094485433357779660219132710544932483494469317926225134838420370303430497421096039496178897980075921<158>
prime factors 素因数
547301832371245411523137447459098478413229492226957<51>
49999065087505621628282001792370767238687352793129588710884621932977227217725298853730530897509194473189653<107>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 27364579939240990521640721345012862712815877004452899719074094485433357779660219132710544932483494469317926225134838420370303430497421096039496178897980075921 (158 digits)
[Wed Mar 24 02:14:32 2010]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=2136131602
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
20     25      30      35      40      45      50      55      60      65
2       4       10      34      135     613     3133    17769   111196  751771
Step 1 took 477235ms
Using 20 small primes for NTT
Estimated memory usage: 471M
Initializing tables of differences for F took 313ms
Computing roots of F took 26937ms
Building F from its roots took 17594ms
Computing 1/F took 7829ms
Initializing table of differences for G took 297ms
Computing roots of G took 23078ms
Building G from its roots took 15000ms
Computing roots of G took 22906ms
Building G from its roots took 15031ms
Computing G * H took 4516ms
Reducing  G * H mod F took 4219ms
Computing roots of G took 23015ms
Building G from its roots took 14938ms
Computing G * H took 4469ms
Reducing  G * H mod F took 4219ms
Computing roots of G took 22844ms
Building G from its roots took 15047ms
Computing G * H took 4531ms
Reducing  G * H mod F took 4266ms
Computing polyeval(F,G) took 29718ms
Computing product of all F(g_i) took 141ms
Step 2 took 262750ms
********** Factor found in step 2: 547301832371245411523137447459098478413229492226957
Found probable prime factor of 51 digits: 547301832371245411523137447459098478413229492226957
Probable prime cofactor 49999065087505621628282001792370767238687352793129588710884621932977227217725298853730530897509194473189653 has 107 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)
403e62320280Makoto KamadaDecember 15, 2009 06:43:37 UTC 2009 年 12 月 15 日 (火) 15 時 43 分 37 秒 (日本時間)
290yoyoDecember 16, 2009 20:03:59 UTC 2009 年 12 月 17 日 (木) 5 時 3 分 59 秒 (日本時間)
1750yoyo@homeMarch 12, 2010 17:13:58 UTC 2010 年 3 月 13 日 (土) 2 時 13 分 58 秒 (日本時間)
4511e64340yoyo@homeMarch 12, 2010 17:15:20 UTC 2010 年 3 月 13 日 (土) 2 時 15 分 20 秒 (日本時間)
5043e66500yoyo@homeMarch 18, 2010 16:52:59 UTC 2010 年 3 月 19 日 (金) 1 時 52 分 59 秒 (日本時間)

10203+179

c169

name 名前yoyo@home
date 日付March 25, 2010 02:26:00 UTC 2010 年 3 月 25 日 (木) 11 時 26 分 0 秒 (日本時間)
composite number 合成数
2902924303571889615749331189876889355818086661817067087957416001636886083186840504479597070078983318905548914264981174274491684883957683914781501548010399006588823134083<169>
prime factors 素因数
113730255268607295935679827830348527181402174614348767<54>
25524644226954243180294382745720320122916855328378627003374506775518302255780557195880898355683772526923401594083549<116>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 2902924303571889615749331189876889355818086661817067087957416001636886083186840504479597070078983318905548914264981174274491684883957683914781501548010399006588823134083 (169 digits)
[Thu Mar 25 01:21:34 2010]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1401805083
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
20  25      30      35      40      45      50      55      60      65
2       4       10      34      135     613     3133    17769   111196  751771
Step 1 took 473703ms
Using 21 small primes for NTT
Estimated memory usage: 478M
Initializing tables of differences for F took 312ms
Computing roots of F took 27266ms
Building F from its roots took 18297ms
Computing 1/F took 8172ms
Initializing table of differences for G took 281ms
Computing roots of G took 23594ms
Building G from its roots took 15703ms
Computing roots of G took 23046ms
Building G from its roots took 15657ms
Computing G * H took 4625ms
Reducing  G * H mod F took 4422ms
Computing roots of G took 23218ms
Building G from its roots took 15610ms
Computing G * H took 4656ms
Reducing  G * H mod F took 4437ms
Computing roots of G took 23079ms
Building G from its roots took 15671ms
Computing G * H took 4688ms
Reducing  G * H mod F took 4437ms
Computing polyeval(F,G) took 31610ms
Computing product of all F(g_i) took 250ms
Step 2 took 270860ms
********** Factor found in step 2: 113730255268607295935679827830348527181402174614348767
Found probable prime factor of 54 digits: 113730255268607295935679827830348527181402174614348767
Probable prime cofactor 25524644226954243180294382745720320122916855328378627003374506775518302255780557195880898355683772526923401594083549 has 116 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)
403e62320280Makoto KamadaDecember 15, 2009 06:44:24 UTC 2009 年 12 月 15 日 (火) 15 時 44 分 24 秒 (日本時間)
290yoyoDecember 16, 2009 20:06:36 UTC 2009 年 12 月 17 日 (木) 5 時 6 分 36 秒 (日本時間)
1750yoyo@homeMarch 12, 2010 17:17:52 UTC 2010 年 3 月 13 日 (土) 2 時 17 分 52 秒 (日本時間)
4511e64340yoyo@homeMarch 12, 2010 17:18:14 UTC 2010 年 3 月 13 日 (土) 2 時 18 分 14 秒 (日本時間)
5043e66500yoyo@homeMarch 18, 2010 16:54:55 UTC 2010 年 3 月 19 日 (金) 1 時 54 分 55 秒 (日本時間)

10204+179

c138

name 名前Erik Branger
date 日付March 22, 2009 08:53:55 UTC 2009 年 3 月 22 日 (日) 17 時 53 分 55 秒 (日本時間)
composite number 合成数
145829379949792239395107343637243079763628528658681310890575160988171862082801967137706829973725352350567726447106111950156737778528600209<138>
prime factors 素因数
3563655936076273099916412456811109387<37>
40921284929194423257867202290995071601945357815830179626243613336714911803694463810877773792377543507<101>
factorization results 素因数分解の結果
GMP-ECM 6.2 [powered by GMP 4.2.2] [ECM]
Input number is 145829379949792239395107343637243079763628528658681310890575160988171862082801967137706829973725352350567726447106111950156737778528600209 (138 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=560508884
Step 1 took 46594ms
********** Factor found in step 1: 3563655936076273099916412456811109387
Found probable prime factor of 37 digits: 3563655936076273099916412456811109387
Probable prime cofactor 40921284929194423257867202290995071601945357815830179626243613336714911803694463810877773792377543507 has 101 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)

10206+179

c161

name 名前RSALS + Mathew
date 日付July 29, 2012 07:15:13 UTC 2012 年 7 月 29 日 (日) 16 時 15 分 13 秒 (日本時間)
composite number 合成数
22007567486769391259628479967120314896249949937861125606374929593893296877986840211307335685146670446366476107027247789926746769084884364327770850599405680272899<161>
prime factors 素因数
5468936479334907091474441914517840460261562081219412079361408473101564822340471<79>
4024103693639132208286202611579155894071718118491229827757735974884149573181152469<82>
factorization results 素因数分解の結果
prp79 factor: 5468936479334907091474441914517840460261562081219412079361408473101564822340471
prp82 factor: 4024103693639132208286202611579155894071718118491229827757735974884149573181152469
software ソフトウェア
ggnfs-lasieve4I14e on the RSALS grid + msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)
403e62320280Makoto KamadaDecember 15, 2009 06:44:53 UTC 2009 年 12 月 15 日 (火) 15 時 44 分 53 秒 (日本時間)
290yoyoDecember 16, 2009 20:07:39 UTC 2009 年 12 月 17 日 (木) 5 時 7 分 39 秒 (日本時間)
1750yoyo@homeMarch 12, 2010 17:20:11 UTC 2010 年 3 月 13 日 (土) 2 時 20 分 11 秒 (日本時間)
4511e64340yoyo@homeMarch 12, 2010 17:20:31 UTC 2010 年 3 月 13 日 (土) 2 時 20 分 31 秒 (日本時間)
5043e66500yoyo@homeMarch 18, 2010 16:56:43 UTC 2010 年 3 月 19 日 (金) 1 時 56 分 43 秒 (日本時間)
5511e715160yoyo@homeApril 5, 2010 19:18:42 UTC 2010 年 4 月 6 日 (火) 4 時 18 分 42 秒 (日本時間)
6026e710010 / 35456yoyo@homeApril 21, 2010 19:04:07 UTC 2010 年 4 月 22 日 (木) 4 時 4 分 7 秒 (日本時間)

10207+179

c203

name 名前Robert Backstrom
date 日付March 30, 2009 01:16:38 UTC 2009 年 3 月 30 日 (月) 10 時 16 分 38 秒 (日本時間)
composite number 合成数
69141948420106478600566963977044873124524649104611767959621102122657816497268893037405794095277604922906727511581276360367835165594966466155016248357878725022471133236534605545184263292539583765470510959<203>
prime factors 素因数
115951269499650019696884731749121224100590303382217461<54>
8291114615663811786913421243762707131703902669337013526581555333831<67>
71920580989461300167938721656900149535458931816276322011236571042026371770244374549<83>
factorization results 素因数分解の結果
Number: n
N=69141948420106478600566963977044873124524649104611767959621102122657816497268893037405794095277604922906727511581276360367835165594966466155016248357878725022471133236534605545184263292539583765470510959
  ( 203 digits)
SNFS difficulty: 207 digits.
Divisors found:

Mon Mar 30 09:50:31 2009  prp54 factor: 115951269499650019696884731749121224100590303382217461
Mon Mar 30 09:50:31 2009  prp67 factor: 8291114615663811786913421243762707131703902669337013526581555333831
Mon Mar 30 09:50:31 2009  prp83 factor: 71920580989461300167938721656900149535458931816276322011236571042026371770244374549
Mon Mar 30 09:50:31 2009  elapsed time 18:58:17 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20050930-k8
Total time: 107.71 hours.
Scaled time: 216.94 units (timescale=2.014).
Factorization parameters were as follows:
name: KA_1_206_3
n: 69141948420106478600566963977044873124524649104611767959621102122657816497268893037405794095277604922906727511581276360367835165594966466155016248357878725022471133236534605545184263292539583765470510959
deg: 5
c5: 100
c0: 17
m: 100000000000000000000000000000000000000000
skew: 0.70
type: snfs
rlim: 12000000
alim: 12000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [6000000, 31599990)
Primes: RFBsize:788060, AFBsize:787814, largePrimes:36906914 encountered
Relations: rels:32333155, finalFF:131025
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7543613 hash collisions in 42811934 relations
Msieve: matrix is 3331182 x 3331430 (903.7 MB)

Total sieving time: 106.65 hours.
Total relation processing time: 1.06 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,12000000,12000000,29,29,58,58,2.5,2.5,100000
total time: 107.71 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: 3368972k/3407296k available (2746k kernel code, 36964k reserved, 1423k data, 416k init, 2489792k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.99 BogoMIPS (lpj=2830497)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830447)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830454)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Total of 4 processors activated (22643.71 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)

10208+179

c190

name 名前matsui
date 日付September 2, 2011 05:14:50 UTC 2011 年 9 月 2 日 (金) 14 時 14 分 50 秒 (日本時間)
composite number 合成数
2321398548404512863893707148795950116996863252979447536618970475981709279052104518407712973540687028357247403421768690667316794826080710262724273679358319020682686802050033401027107946169993<190>
prime factors 素因数
310809238815980555773417240341203094224871487070799621582725620349636442995923301<81>
7468885279111451966676904324110445587283600450561147315945353240542758156626487103548618062275671126735403093<109>
factorization results 素因数分解の結果
N=2321398548404512863893707148795950116996863252979447536618970475981709279052104518407712973540687028357247403421768690667316794826080710262724273679358319020682686802050033401027107946169993
  ( 190 digits)
SNFS difficulty: 208 digits.
Divisors found:
 r1=310809238815980555773417240341203094224871487070799621582725620349636442995923301 (pp81)
 r2=7468885279111451966676904324110445587283600450561147315945353240542758156626487103548618062275671126735403093 (pp109)
Version: Msieve v. 1.50
Total time:
Scaled time: 351.27 units (timescale=1.520).
Factorization parameters were as follows:
n: 2321398548404512863893707148795950116996863252979447536618970475981709279052104518407712973540687028357247403421768690667316794826080710262724273679358319020682686802050033401027107946169993
m: 100000000000000000000000000000000000000000
deg: 5
c5: 1000
c0: 17
skew: 0.44
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved rational special-q in [10500000, 24900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3972939 x 3973166
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,208.000,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000
total time:
 --------- 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 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)
403e62320280Makoto KamadaDecember 15, 2009 06:45:07 UTC 2009 年 12 月 15 日 (火) 15 時 45 分 7 秒 (日本時間)
290yoyoDecember 16, 2009 20:08:16 UTC 2009 年 12 月 17 日 (木) 5 時 8 分 16 秒 (日本時間)
1750yoyo@homeMarch 14, 2010 07:49:46 UTC 2010 年 3 月 14 日 (日) 16 時 49 分 46 秒 (日本時間)
4511e63970yoyo@homeMarch 18, 2010 16:58:22 UTC 2010 年 3 月 19 日 (金) 1 時 58 分 22 秒 (日本時間)
5043e67460yoyo@homeMarch 18, 2010 16:58:48 UTC 2010 年 3 月 19 日 (金) 1 時 58 分 48 秒 (日本時間)
5511e714850yoyo@homeApril 5, 2010 19:19:50 UTC 2010 年 4 月 6 日 (火) 4 時 19 分 50 秒 (日本時間)
6026e710010 / 35467yoyo@homeApril 21, 2010 19:04:43 UTC 2010 年 4 月 22 日 (木) 4 時 4 分 43 秒 (日本時間)

10209+179

c187

name 名前NFS@Home + Greg Childers
date 日付August 4, 2012 06:05:35 UTC 2012 年 8 月 4 日 (土) 15 時 5 分 35 秒 (日本時間)
composite number 合成数
1630472327903486092458239335900778241845901062520007431931633760207828051283687697902196276969433571940530603209128698262786746427429220219147222402965600910219803168039824908541533213711<187>
prime factors 素因数
30606072118373968664815496163983177849659199341608336938679241854261441793891<77>
53272838200124759971514313987940793670779891434075945376705379527111415713679728991241805857437311906937362021<110>
factorization results 素因数分解の結果
prp77 factor: 30606072118373968664815496163983177849659199341608336938679241854261441793891
prp110 factor: 53272838200124759971514313987940793670779891434075945376705379527111415713679728991241805857437311906937362021
software ソフトウェア
ggnfs-lasiev4I14e on the NFS@Home grid + msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)
403e62320280Makoto KamadaDecember 15, 2009 06:45:27 UTC 2009 年 12 月 15 日 (火) 15 時 45 分 27 秒 (日本時間)
2040yoyo@homeMarch 14, 2010 07:50:40 UTC 2010 年 3 月 14 日 (日) 16 時 50 分 40 秒 (日本時間)
4511e64410yoyo@homeMarch 18, 2010 17:01:34 UTC 2010 年 3 月 19 日 (金) 2 時 1 分 34 秒 (日本時間)
5043e67470yoyo@homeApril 5, 2010 19:24:22 UTC 2010 年 4 月 6 日 (火) 4 時 24 分 22 秒 (日本時間)
5511e717480yoyo@homeApril 21, 2010 19:05:35 UTC 2010 年 4 月 22 日 (木) 4 時 5 分 35 秒 (日本時間)
6026e710010 / 34465yoyo@homeApril 21, 2010 19:05:45 UTC 2010 年 4 月 22 日 (木) 4 時 5 分 45 秒 (日本時間)

10210+179

c202

name 名前RSALS + Lionel Debroux + Jeff Gilchrist
date 日付December 18, 2009 13:27:21 UTC 2009 年 12 月 18 日 (金) 22 時 27 分 21 秒 (日本時間)
composite number 合成数
6582527613851446978131730819618752244107085954717989475947006360900491620682609825013574653008474800244477708589488281346603735332968305847034815192608016332462195046388618988800401944934168042595957471<202>
prime factors 素因数
54717842005390052986694843098297751937806958850145813<53>
120299474039985466509894312228083847477033404838138052450639905530474929720985885145271068672098287759467609956582980764206909588207568280635808876067<150>
factorization results 素因数分解の結果
Thu Dec 17 06:26:40 2009  Msieve v. 1.43
Thu Dec 17 06:26:40 2009  random seeds: 55bc7df8 28c1ed01
Thu Dec 17 06:26:40 2009  factoring
6582527613851446978131730819618752244107085954717989475947006360900491620682609825013574653008474800244477708589488281346603735332968305847034815192608016332462195046388618988800401944934168042595957471
(202 digits)
Thu Dec 17 06:26:42 2009  no P-1/P+1/ECM available, skipping
Thu Dec 17 06:26:42 2009  commencing number field sieve (202-digit input)
Thu Dec 17 06:26:42 2009  R0: -1000000000000000000000000000000000000000000
Thu Dec 17 06:26:42 2009  R1:  1
Thu Dec 17 06:26:42 2009  A0:  17
Thu Dec 17 06:26:42 2009  A1:  0
Thu Dec 17 06:26:42 2009  A2:  0
Thu Dec 17 06:26:42 2009  A3:  0
Thu Dec 17 06:26:42 2009  A4:  0
Thu Dec 17 06:26:42 2009  A5:  1
Thu Dec 17 06:26:42 2009  skew 1.76, size 2.505786e-14, alpha
1.047729, combined = 7.967069e-12
Thu Dec 17 06:26:42 2009
Thu Dec 17 06:26:42 2009  commencing linear algebra
Thu Dec 17 06:26:43 2009  read 2888485 cycles
Thu Dec 17 06:26:50 2009  cycles contain 8004660 unique relations
Thu Dec 17 06:28:10 2009  read 8004660 relations
Thu Dec 17 06:28:26 2009  using 20 quadratic characters above 536868864
Thu Dec 17 06:29:23 2009  building initial matrix
Thu Dec 17 06:32:05 2009  memory use: 1052.8 MB
Thu Dec 17 06:32:08 2009  read 2888485 cycles
Thu Dec 17 06:32:11 2009  matrix is 2888023 x 2888485 (844.9 MB) with
weight 248051754 (85.88/col)
Thu Dec 17 06:32:11 2009  sparse part has weight 189723693 (65.68/col)
Thu Dec 17 06:33:34 2009  filtering completed in 3 passes
Thu Dec 17 06:33:35 2009  matrix is 2881653 x 2881853 (843.8 MB) with
weight 247679676 (85.94/col)
Thu Dec 17 06:33:35 2009  sparse part has weight 189487001 (65.75/col)
Thu Dec 17 06:34:00 2009  read 2881853 cycles
Thu Dec 17 06:34:04 2009  matrix is 2881653 x 2881853 (843.8 MB) with
weight 247679676 (85.94/col)
Thu Dec 17 06:34:04 2009  sparse part has weight 189487001 (65.75/col)
Thu Dec 17 06:34:04 2009  saving the first 48 matrix rows for later
Thu Dec 17 06:34:06 2009  matrix is 2881605 x 2881853 (799.4 MB) with
weight 195469859 (67.83/col)
Thu Dec 17 06:34:07 2009  sparse part has weight 180734590 (62.71/col)
Thu Dec 17 06:34:07 2009  matrix includes 64 packed rows
Thu Dec 17 06:34:07 2009  using block size 65536 for processor cache
size 6144 kB
Thu Dec 17 06:34:23 2009  commencing Lanczos iteration (5 threads)
Thu Dec 17 06:34:23 2009  memory use: 885.9 MB
Thu Dec 17 06:34:38 2009  linear algebra at 0.0%, ETA 14h51m
Thu Dec 17 20:55:45 2009  lanczos halted after 45570 iterations (dim = 2881603)
Thu Dec 17 20:55:53 2009  recovered 34 nontrivial dependencies
Thu Dec 17 20:55:54 2009  BLanczosTime: 52152
Thu Dec 17 20:55:54 2009  elapsed time 14:29:14
Thu Dec 17 21:23:08 2009
Thu Dec 17 21:23:08 2009
Thu Dec 17 21:23:08 2009  Msieve v. 1.43
Thu Dec 17 21:23:08 2009  random seeds: f9fbe826 ee5d58a0
Thu Dec 17 21:23:08 2009  factoring
6582527613851446978131730819618752244107085954717989475947006360900491620682609825013574653008474800244477708589488281346603735332968305847034815192608016332462195046388618988800401944934168042595957471
(202 digits)
Thu Dec 17 21:23:10 2009  no P-1/P+1/ECM available, skipping
Thu Dec 17 21:23:10 2009  commencing number field sieve (202-digit input)
Thu Dec 17 21:23:10 2009  R0: -1000000000000000000000000000000000000000000
Thu Dec 17 21:23:10 2009  R1:  1
Thu Dec 17 21:23:10 2009  A0:  17
Thu Dec 17 21:23:10 2009  A1:  0
Thu Dec 17 21:23:10 2009  A2:  0
Thu Dec 17 21:23:10 2009  A3:  0
Thu Dec 17 21:23:10 2009  A4:  0
Thu Dec 17 21:23:10 2009  A5:  1
Thu Dec 17 21:23:10 2009  skew 1.76, size 2.505786e-14, alpha
1.047729, combined = 7.967069e-12
Thu Dec 17 21:23:11 2009
Thu Dec 17 21:23:11 2009  commencing square root phase
Thu Dec 17 21:23:11 2009  reading relations for dependency 1
Thu Dec 17 21:23:11 2009  read 1439936 cycles
Thu Dec 17 21:23:15 2009  cycles contain 3996572 unique relations
Thu Dec 17 21:24:02 2009  read 3996572 relations
Thu Dec 17 21:24:33 2009  multiplying 3996572 relations
Thu Dec 17 21:27:39 2009  multiply complete, coefficients have about
97.23 million bits
Thu Dec 17 21:27:41 2009  initial square root is modulo 9532921
Thu Dec 17 21:33:58 2009  sqrtTime: 647
Thu Dec 17 21:33:59 2009  prp53 factor:
54717842005390052986694843098297751937806958850145813
Thu Dec 17 21:33:59 2009  prp150 factor:
120299474039985466509894312228083847477033404838138052450639905530474929720985885145271068672098287759467609956582980764206909588207568280635808876067
Thu Dec 17 21:33:59 2009  elapsed time 00:10:51
software ソフトウェア
ggnfs-lasieve4I14e on the RSALS grid + msieve (Lionel Debroux + Jeff Gilchrist)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61318118Makoto KamadaFebruary 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)
1200Dmitry DomanovJune 30, 2009 07:07:57 UTC 2009 年 6 月 30 日 (火) 16 時 7 分 57 秒 (日本時間)
403e62500Dmitry DomanovJune 30, 2009 07:07:57 UTC 2009 年 6 月 30 日 (火) 16 時 7 分 57 秒 (日本時間)

10211+179

c178

name 名前Ben Meekins
date 日付January 17, 2015 21:57:17 UTC 2015 年 1 月 18 日 (日) 6 時 57 分 17 秒 (日本時間)
composite number 合成数
4046257427488473206989427431078331642677822125235705969171013135090949066816527563793194856465678170352166563438621437163717115815056172331047415740809904297096633747654317584943<178>
prime factors 素因数
66554209562488164819423386428485306818393056054812915678691080795234665375539<77>
60796416246059037455405742018787230169196354582235485452546608771567185552006430093581607729694710037<101>
factorization results 素因数分解の結果
Number: 11113_211
N = 4046257427488473206989427431078331642677822125235705969171013135090949066816527563793194856465678170352166563438621437163717115815056172331047415740809904297096633747654317584943 (178 digits)
SNFS difficulty: 212 digits.
Divisors found:
r1=66554209562488164819423386428485306818393056054812915678691080795234665375539 (pp77)
r2=60796416246059037455405742018787230169196354582235485452546608771567185552006430093581607729694710037 (pp101)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 209.13 hours.
Factorization parameters were as follows:
n: 4046257427488473206989427431078331642677822125235705969171013135090949066816527563793194856465678170352166563438621437163717115815056172331047415740809904297096633747654317584943
m: 100000000000000000000000000000000000
deg: 6
c6: 10
c0: 17
skew: 1.09
# Murphy_E = 5.812e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 42827507
Relations: 6674172 relations
Pruned matrix : 4140380 x 4140606
Polynomial selection time: 0.00 hours.
Total sieving time: 189.62 hours.
Total relation processing time: 0.39 hours.
Matrix solve time: 18.50 hours.
time per square root: 0.62 hours.
Prototype def-par.txt line would be: snfs,212,6,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,200000
total time: 209.13 hours.
x86_64
Linux-3.13.0-43-generic-x86_64-with-Ubuntu-14.04-trusty
processors: 4, speed: 0.80GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)
403e6580280Makoto KamadaDecember 15, 2009 06:45:43 UTC 2009 年 12 月 15 日 (火) 15 時 45 分 43 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:37:01 UTC 2014 年 1 月 9 日 (木) 13 時 37 分 1 秒 (日本時間)
4511e6535 / 4347230Ignacio SantosNovember 21, 2013 18:26:07 UTC 2013 年 11 月 22 日 (金) 3 時 26 分 7 秒 (日本時間)
274CypMarch 10, 2014 03:16:15 UTC 2014 年 3 月 10 日 (月) 12 時 16 分 15 秒 (日本時間)
31KTakahashiMarch 14, 2014 07:24:54 UTC 2014 年 3 月 14 日 (金) 16 時 24 分 54 秒 (日本時間)

10214+179

c211

name 名前Serge Batalov
date 日付March 19, 2009 20:42:50 UTC 2009 年 3 月 20 日 (金) 5 時 42 分 50 秒 (日本時間)
composite number 合成数
1959631589261218890848520478150107779737409367038996668626298255927885557515187144816774446404076033705663335292964922594552224181853811483441113070742700372330001959631589261218890848520478150107779737409367039<211>
prime factors 素因数
2400620043423893687330474477519<31>
composite cofactor 合成数の残り
816302269336336417450842188577028118534151673845025146540677993240102379833555401451594875762033128334475072601234838476484961787092961779341206131926579524992582962870838310352081<180>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4255587043
Step 1 took 13105ms
Step 2 took 11832ms
********** Factor found in step 2: 2400620043423893687330474477519
Found probable prime factor of 31 digits: 2400620043423893687330474477519
Composite cofactor has 180 digits
software ソフトウェア
GMP-ECM 6.2.2

c180

name 名前Ben Meekins
date 日付January 30, 2015 03:39:09 UTC 2015 年 1 月 30 日 (金) 12 時 39 分 9 秒 (日本時間)
composite number 合成数
816302269336336417450842188577028118534151673845025146540677993240102379833555401451594875762033128334475072601234838476484961787092961779341206131926579524992582962870838310352081<180>
prime factors 素因数
3370382995043131780642041511106031644722128367020782740680348717437394382569263<79>
242198667195058630915502261590154141588577189738681409203936018426607262892151088591663526192229567487<102>
factorization results 素因数分解の結果
Number: 11113_214
N = 816302269336336417450842188577028118534151673845025146540677993240102379833555401451594875762033128334475072601234838476484961787092961779341206131926579524992582962870838310352081 (180 digits)
SNFS difficulty: 216 digits.
Divisors found:
r1=3370382995043131780642041511106031644722128367020782740680348717437394382569263 (pp79)
r2=242198667195058630915502261590154141588577189738681409203936018426607262892151088591663526192229567487 (pp102)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 272.59 hours.
Factorization parameters were as follows:
n: 816302269336336417450842188577028118534151673845025146540677993240102379833555401451594875762033128334475072601234838476484961787092961779341206131926579524992582962870838310352081
m: 500000000000000000000000000000000000
deg: 6
c6: 16
c0: 425
skew: 1.73
# Murphy_E = 4.769e-12
type: snfs
lss: 1
rlim: 27000000
alim: 27000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6

Factor base limits: 27000000/27000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 48668161
Relations: 5538456 relations
Pruned matrix : 3780535 x 3780760
Polynomial selection time: 0.00 hours.
Total sieving time: 256.54 hours.
Total relation processing time: 0.47 hours.
Matrix solve time: 15.23 hours.
time per square root: 0.36 hours.
Prototype def-par.txt line would be: snfs,216,6,0,0,0,0,0,0,0,0,27000000,27000000,29,29,57,57,2.6,2.6,200000
total time: 272.59 hours.
x86_64
Linux-3.13.0-43-generic-x86_64-with-Ubuntu-14.04-trusty
processors: 4, speed: 0.80GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)
403e61525280Makoto KamadaDecember 15, 2009 06:45:59 UTC 2009 年 12 月 15 日 (火) 15 時 45 分 59 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:37:02 UTC 2014 年 1 月 9 日 (木) 13 時 37 分 2 秒 (日本時間)
290KTakahashiMarch 14, 2014 09:19:17 UTC 2014 年 3 月 14 日 (金) 18 時 19 分 17 秒 (日本時間)
655KTakahashiMarch 19, 2014 03:28:47 UTC 2014 年 3 月 19 日 (水) 12 時 28 分 47 秒 (日本時間)
4511e6326 / 4138230Ignacio SantosNovember 21, 2013 18:26:31 UTC 2013 年 11 月 22 日 (金) 3 時 26 分 31 秒 (日本時間)
96KTakahashiMarch 19, 2014 23:07:57 UTC 2014 年 3 月 20 日 (木) 8 時 7 分 57 秒 (日本時間)

10215+179

c146

name 名前Serge Batalov
date 日付February 19, 2009 17:31:13 UTC 2009 年 2 月 20 日 (金) 2 時 31 分 13 秒 (日本時間)
composite number 合成数
48118642652086310909625664267737601364578914967267923863021970703694668389651134210976236101767600100290792136374869692850596533922391726735920307<146>
prime factors 素因数
501928547260793544603300585296669<33>
95867515236356305111343622696905285564256741353453902846428516503461544038617123729098432688474118148620085298703<113>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=141999233
Step 1 took 30390ms
Step 2 took 29422ms
********** Factor found in step 2: 501928547260793544603300585296669
Found probable prime factor of 33 digits: 501928547260793544603300585296669
Probable prime cofactor 95867515236356305111343622696905285564256741353453902846428516503461544038617123729098432688474118148620085298703 has 113 digits
software ソフトウェア
GMP-ECM 6.2.1
execution environment 実行環境
Windows XP and Cygwin

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)

10216+179

c208

composite cofactor 合成数の残り
9437684184074970622612613916033320197020717519381723718836023606554951100196618105912089085472075369496896969660591714296535264751626530602441262755726203985898325544365387795339703638030005361454008131150061<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)
786Andreas TeteMay 12, 2009 10:30:45 UTC 2009 年 5 月 12 日 (火) 19 時 30 分 45 秒 (日本時間)
403e60--
4511e64716716Dmitry DomanovJanuary 9, 2010 12:27:26 UTC 2010 年 1 月 9 日 (土) 21 時 27 分 26 秒 (日本時間)
4000Wataru SakaiMay 17, 2011 08:01:40 UTC 2011 年 5 月 17 日 (火) 17 時 1 分 40 秒 (日本時間)
5043e60--
5511e72763 / 174742705yoyo@homeAugust 29, 2011 22:25:04 UTC 2011 年 8 月 30 日 (火) 7 時 25 分 4 秒 (日本時間)
58KTakahashiAugust 25, 2014 10:27:51 UTC 2014 年 8 月 25 日 (月) 19 時 27 分 51 秒 (日本時間)

10217+179

c209

name 名前Familie
date 日付September 5, 2011 00:34:49 UTC 2011 年 9 月 5 日 (月) 9 時 34 分 49 秒 (日本時間)
composite number 合成数
31504041998517249661722986237771142963524806047964519593430130699527373526574464354022362205392195913858334142435891960252597770533927384890712494059164660182107791602665023945103929582014105512650673318404891<209>
prime factors 素因数
2163546185225472963998269559670708978723650032010489<52>
14561298581769850460034223464946834845855539319796618931411101510838283653388087702755125457070888479716080359068510172446919922733652443717868298625458090419<158>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 31504041998517249661722986237771142963524806047964519593430130699527373526574464354022362205392195913858334142435891960252597770533927384890712494059164660182107791602665023945103929582014105512650673318404891 (209 digits)
[Sun Sep 04 17:07:43 2011]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=2706288145
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 806198ms
Using 25 small primes for NTT
Estimated memory usage: 728M
Initializing tables of differences for F took 749ms
Computing roots of F took 37471ms
Building F from its roots took 31293ms
Computing 1/F took 12870ms
Initializing table of differences for G took 640ms
Computing roots of G took 30670ms
Building G from its roots took 24383ms
Computing roots of G took 30919ms
Building G from its roots took 30436ms
Computing G * H took 7395ms
Reducing  G * H mod F took 7113ms
Computing roots of G took 30732ms
Building G from its roots took 30733ms
Computing G * H took 7410ms
Reducing  G * H mod F took 7145ms
Computing roots of G took 30748ms
Building G from its roots took 30592ms
Computing G * H took 7379ms
Reducing  G * H mod F took 7160ms
Computing polyeval(F,G) took 62432ms
Computing product of all F(g_i) took 234ms
Step 2 took 431015ms
********** Factor found in step 2: 2163546185225472963998269559670708978723650032010489
Found probable prime factor of 52 digits: 2163546185225472963998269559670708978723650032010489
Probable prime cofactor 14561298581769850460034223464946834845855539319796618931411101510838283653388087702755125457070888479716080359068510172446919922733652443717868298625458090419 has 158 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
351e6904118Makoto KamadaFebruary 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)
786Andreas TeteMay 12, 2009 04:27:59 UTC 2009 年 5 月 12 日 (火) 13 時 27 分 59 秒 (日本時間)
403e60--
4511e64643643Dmitry DomanovDecember 19, 2009 22:32:33 UTC 2009 年 12 月 20 日 (日) 7 時 32 分 33 秒 (日本時間)
4000Wataru SakaiMay 30, 2011 10:50:44 UTC 2011 年 5 月 30 日 (月) 19 時 50 分 44 秒 (日本時間)
5043e60 / 1733--
5511e71980 / 17478yoyo@homeAugust 30, 2011 11:40:20 UTC 2011 年 8 月 30 日 (火) 20 時 40 分 20 秒 (日本時間)

10218+179

c196

composite cofactor 合成数の残り
2000607937998553847867999279634970191353296469676094338977065348682204772584145822075385889630675336835542521250884511837679951472229175024113083434303576334713107060864222400713954125449693133631<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)
403e6280Makoto KamadaDecember 15, 2009 06:46:10 UTC 2009 年 12 月 15 日 (火) 15 時 46 分 10 秒 (日本時間)
4511e6601 / 4413230Ignacio SantosNovember 21, 2013 18:32:45 UTC 2013 年 11 月 22 日 (金) 3 時 32 分 45 秒 (日本時間)
371CypJanuary 7, 2014 16:56:26 UTC 2014 年 1 月 8 日 (水) 1 時 56 分 26 秒 (日本時間)

10219+179

c212

name 名前Dmitry Domanov
date 日付January 8, 2010 10:30:13 UTC 2010 年 1 月 8 日 (金) 19 時 30 分 13 秒 (日本時間)
composite number 合成数
63029570512094460652498501629535001234434138479370011879183154414442999176392602118461682653802079206866138869649112490072054774713721266473329762077868118061192762768231003880163390295047092228460258815804210993<212>
prime factors 素因数
142696734285125126286399579576382843<36>
441702964176838463664490072755710160233401342582483483116730849669585228344966467962882882162753117874480582064064814597031983269764175842794177075659803942562872676312601002051<177>
factorization results 素因数分解の結果
Factor=142696734285125126286399579576382843  Method=ECM  B1=11000000  Sigma=377269811
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)
403e6350 / 2318Serge BatalovMay 10, 2009 23:41:36 UTC 2009 年 5 月 11 日 (月) 8 時 41 分 36 秒 (日本時間)

10220+179

c209

name 名前RSALS, Lionel Debroux, Jeff Gilchrist
date 日付January 26, 2010 09:08:36 UTC 2010 年 1 月 26 日 (火) 18 時 8 分 36 秒 (日本時間)
composite number 合成数
34839366557982356737476103515734488867538681230663309166211024096053823337506912915909270373881381743101810873009375526269002000457868828781486664443810353131519011851338409195637979044162982874568167955049699<209>
prime factors 素因数
2199383024360263530584374444682248979660150453219567<52>
792259195056401987851787856415857022330884562795567939183517075721536907103<75>
19994110736630588381222195464534957063827305932738138163737190127540770351753894099<83>
factorization results 素因数分解の結果
Sat Jan 23 09:22:27 2010
Sat Jan 23 09:22:27 2010
Sat Jan 23 09:22:27 2010  Msieve v. 1.43
Sat Jan 23 09:22:27 2010  random seeds: 3c6db364 afe3e736
Sat Jan 23 09:22:27 2010  factoring
34839366557982356737476103515734488867538681230663309166211024096053823337506912915909270373881381743101810873009375526269002000457868828781486664443810353131519011851338409195637979044162982874568167955049699
(209 digits)
Sat Jan 23 09:22:32 2010  searching for 15-digit factors
Sat Jan 23 09:22:32 2010  commencing number field sieve (209-digit input)
Sat Jan 23 09:22:32 2010  R0: -1000000000000000000000000000000000000
Sat Jan 23 09:22:32 2010  R1:  1
Sat Jan 23 09:22:32 2010  A0:  17
Sat Jan 23 09:22:32 2010  A1:  0
Sat Jan 23 09:22:32 2010  A2:  0
Sat Jan 23 09:22:32 2010  A3:  0
Sat Jan 23 09:22:32 2010  A4:  0
Sat Jan 23 09:22:32 2010  A5:  0
Sat Jan 23 09:22:32 2010  A6:  10000
Sat Jan 23 09:22:32 2010  skew 0.35, size 7.883216e-011, alpha
-2.627909, combined = 2.847648e-012
Sat Jan 23 09:22:32 2010
Sat Jan 23 09:22:32 2010  commencing linear algebra
Sat Jan 23 09:22:34 2010  read 4304991 cycles
Sat Jan 23 09:22:42 2010  cycles contain 11701293 unique relations
Sat Jan 23 09:24:25 2010  read 11701293 relations
Sat Jan 23 09:24:44 2010  using 20 quadratic characters above 536870768
Sat Jan 23 09:25:34 2010  building initial matrix
Sat Jan 23 09:28:10 2010  memory use: 1511.1 MB
Sat Jan 23 09:28:14 2010  read 4304991 cycles
Sat Jan 23 09:28:24 2010  matrix is 4304597 x 4304991 (1269.6 MB) with
weight 376829331 (87.53/col)
Sat Jan 23 09:28:24 2010  sparse part has weight 285454223 (66.31/col)
Sat Jan 23 09:29:38 2010  filtering completed in 3 passes
Sat Jan 23 09:29:40 2010  matrix is 4296290 x 4296490 (1268.2 MB) with
weight 376377359 (87.60/col)
Sat Jan 23 09:29:40 2010  sparse part has weight 285185407 (66.38/col)
Sat Jan 23 09:29:59 2010  read 4296490 cycles
Sat Jan 23 09:30:05 2010  matrix is 4296290 x 4296490 (1268.2 MB) with
weight 376377359 (87.60/col)
Sat Jan 23 09:30:05 2010  sparse part has weight 285185407 (66.38/col)
Sat Jan 23 09:30:06 2010  saving the first 48 matrix rows for later
Sat Jan 23 09:30:08 2010  matrix is 4296242 x 4296490 (1211.3 MB) with
weight 298591985 (69.50/col)
Sat Jan 23 09:30:08 2010  sparse part has weight 274580316 (63.91/col)
Sat Jan 23 09:30:08 2010  matrix includes 64 packed rows
Sat Jan 23 09:30:08 2010  using block size 65536 for processor cache
size 6144 kB
Sat Jan 23 09:30:24 2010  commencing Lanczos iteration (4 threads)
Sat Jan 23 09:30:24 2010  memory use: 1311.0 MB
Sat Jan 23 09:30:42 2010  linear algebra at 0.0%, ETA 25h 3m
Sat Jan 23 12:05:02 2010  lanczos halted after 6463 iterations (dim = 408832)
Sat Jan 23 12:05:06 2010  BLanczosTime: 9754
Sat Jan 23 12:05:06 2010  elapsed time 02:42:39
Sat Jan 23 15:17:41 2010
Sat Jan 23 15:17:41 2010
Sat Jan 23 15:17:41 2010  Msieve v. 1.43
Sat Jan 23 15:17:41 2010  random seeds: b8c1b9cd 4df02b22
Sat Jan 23 15:17:41 2010  factoring
34839366557982356737476103515734488867538681230663309166211024096053823337506912915909270373881381743101810873009375526269002000457868828781486664443810353131519011851338409195637979044162982874568167955049699
(209 digits)
Sat Jan 23 15:17:44 2010  no P-1/P+1/ECM available, skipping
Sat Jan 23 15:17:44 2010  commencing number field sieve (209-digit input)
Sat Jan 23 15:17:44 2010  R0: -1000000000000000000000000000000000000
Sat Jan 23 15:17:44 2010  R1:  1
Sat Jan 23 15:17:44 2010  A0:  17
Sat Jan 23 15:17:44 2010  A1:  0
Sat Jan 23 15:17:44 2010  A2:  0
Sat Jan 23 15:17:44 2010  A3:  0
Sat Jan 23 15:17:44 2010  A4:  0
Sat Jan 23 15:17:44 2010  A5:  0
Sat Jan 23 15:17:44 2010  A6:  10000
Sat Jan 23 15:17:44 2010  skew 0.35, size 7.883216e-11, alpha
-2.627909, combined = 2.847648e-12
Sat Jan 23 15:17:44 2010
Sat Jan 23 15:17:44 2010  commencing linear algebra
Sat Jan 23 15:17:45 2010  read 4296490 cycles
Sat Jan 23 15:17:50 2010  matrix is 4296290 x 4296490 (1268.2 MB) with
weight 376377359 (87.60/col)
Sat Jan 23 15:17:50 2010  sparse part has weight 285185407 (66.38/col)
Sat Jan 23 15:17:50 2010  saving the first 48 matrix rows for later
Sat Jan 23 15:17:54 2010  matrix is 4296242 x 4296490 (1211.3 MB) with
weight 298591985 (69.50/col)
Sat Jan 23 15:17:54 2010  sparse part has weight 274580316 (63.91/col)
Sat Jan 23 15:17:54 2010  matrix includes 64 packed rows
Sat Jan 23 15:17:54 2010  using block size 65536 for processor cache
size 6144 kB
Sat Jan 23 15:18:19 2010  commencing Lanczos iteration (8 threads)
Sat Jan 23 15:18:19 2010  memory use: 1442.1 MB
Sat Jan 23 15:18:19 2010  restarting at iteration 6463 (dim = 408832)
Sat Jan 23 15:18:41 2010  linear algebra at 9.5%, ETA 31h30m
Sun Jan 24 21:42:17 2010  lanczos halted after 67936 iterations (dim = 4296240)
Sun Jan 24 21:42:32 2010  recovered 38 nontrivial dependencies
Sun Jan 24 21:42:32 2010  BLanczosTime: 109488
Sun Jan 24 21:42:32 2010  elapsed time 30:24:51
Mon Jan 25 05:48:03 2010
Mon Jan 25 05:48:03 2010
Mon Jan 25 05:48:03 2010  Msieve v. 1.43
Mon Jan 25 05:48:03 2010  random seeds: 757e3a48 38307c31
Mon Jan 25 05:48:03 2010  factoring
34839366557982356737476103515734488867538681230663309166211024096053823337506912915909270373881381743101810873009375526269002000457868828781486664443810353131519011851338409195637979044162982874568167955049699
(209 digits)
Mon Jan 25 05:48:04 2010  searching for 15-digit factors
Mon Jan 25 05:48:05 2010  commencing number field sieve (209-digit input)
Mon Jan 25 05:48:05 2010  R0: -1000000000000000000000000000000000000
Mon Jan 25 05:48:05 2010  R1:  1
Mon Jan 25 05:48:05 2010  A0:  17
Mon Jan 25 05:48:05 2010  A1:  0
Mon Jan 25 05:48:05 2010  A2:  0
Mon Jan 25 05:48:05 2010  A3:  0
Mon Jan 25 05:48:05 2010  A4:  0
Mon Jan 25 05:48:05 2010  A5:  0
Mon Jan 25 05:48:05 2010  A6:  10000
Mon Jan 25 05:48:05 2010  skew 0.35, size 7.883216e-011, alpha
-2.627909, combined = 2.847648e-012
Mon Jan 25 05:48:05 2010
Mon Jan 25 05:48:05 2010  commencing square root phase
Mon Jan 25 05:48:05 2010  reading relations for dependency 1
Mon Jan 25 05:48:06 2010  read 2147242 cycles
Mon Jan 25 05:48:10 2010  cycles contain 5845544 unique relations
Mon Jan 25 05:49:22 2010  read 5845544 relations
Mon Jan 25 05:49:57 2010  multiplying 5845544 relations
Mon Jan 25 05:57:50 2010  multiply complete, coefficients have about
214.99 million bits
Mon Jan 25 05:57:52 2010  initial square root is modulo 51945403
Mon Jan 25 06:12:03 2010  reading relations for dependency 2
Mon Jan 25 06:12:05 2010  read 2147821 cycles
Mon Jan 25 06:12:09 2010  cycles contain 5848596 unique relations
Mon Jan 25 06:13:03 2010  read 5848596 relations
Mon Jan 25 06:13:37 2010  multiplying 5848596 relations
Mon Jan 25 06:21:42 2010  multiply complete, coefficients have about
215.10 million bits
Mon Jan 25 06:21:45 2010  initial square root is modulo 52418659
Mon Jan 25 06:36:00 2010  reading relations for dependency 3
Mon Jan 25 06:36:02 2010  read 2147375 cycles
Mon Jan 25 06:36:06 2010  cycles contain 5843850 unique relations
Mon Jan 25 06:37:05 2010  read 5843850 relations
Mon Jan 25 06:37:39 2010  multiplying 5843850 relations
Mon Jan 25 06:45:30 2010  multiply complete, coefficients have about
214.93 million bits
Mon Jan 25 06:45:32 2010  initial square root is modulo 51663739
Mon Jan 25 07:00:28 2010  sqrtTime: 4343
Mon Jan 25 07:00:28 2010  prp52 factor:
2199383024360263530584374444682248979660150453219567
Mon Jan 25 07:00:28 2010  prp75 factor:
792259195056401987851787856415857022330884562795567939183517075721536907103
Mon Jan 25 07:00:28 2010  prp83 factor:
19994110736630588381222195464534957063827305932738138163737190127540770351753894099
Mon Jan 25 07:00:28 2010  elapsed time 01:12:25
software ソフトウェア
ggnfs-lasieve4I14e on the RSALS grid + msieve (Lionel Debroux, Jeff Gilchrist)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)
403e6280 / 2318Makoto KamadaDecember 15, 2009 06:46:25 UTC 2009 年 12 月 15 日 (火) 15 時 46 分 25 秒 (日本時間)

10222+179

c222

name 名前Dmitry Domanov
date 日付July 8, 2009 16:49:06 UTC 2009 年 7 月 9 日 (木) 1 時 49 分 6 秒 (日本時間)
composite number 合成数
111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113<222>
prime factors 素因数
551004498127928469834445340613015226657914601778213<51>
676677276408056094567102599764052489094573413056051<51>
298003080664845879339921984943623072483939555335465806206783935206506443967104530715870831039336178009293998396643169751<120>
factorization results 素因数分解の結果
Sieving took about 150  cpu-days on various cpu's. Using siever 14e for sieving on rational side in 5M-43M for 57.7M relations.
Postprocessing took 6 days on Xeon E5430 x 1 thread. Factors found in 6th dependency: C222=P51 · P51 · P120. 
I'm very surprised that this split is similar to Serge Batalov's С222=P55 · P55 · P114
Postprocessing log below.

=================================
Wed Jul 01 14:11:35 2009  Msieve v. 1.42
Wed Jul 01 14:11:35 2009  random seeds: f8ebc210 61bba000
Wed Jul 01 14:11:35 2009  factoring 111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113 (222 digits)
Wed Jul 01 14:11:37 2009  searching for 15-digit factors
Wed Jul 01 14:11:41 2009  commencing number field sieve (222-digit input)
Wed Jul 01 14:11:41 2009  R0: -10000000000000000000000000000000000000
Wed Jul 01 14:11:41 2009  R1:  1
Wed Jul 01 14:11:41 2009  A0:  17
Wed Jul 01 14:11:41 2009  A1:  0
Wed Jul 01 14:11:41 2009  A2:  0
Wed Jul 01 14:11:41 2009  A3:  0
Wed Jul 01 14:11:41 2009  A4:  0
Wed Jul 01 14:11:41 2009  A5:  0
Wed Jul 01 14:11:41 2009  A6:  1
Wed Jul 01 14:11:41 2009  skew 1.60, size 6.533884e-011, alpha 1.099275, combined = 2.482264e-012
Wed Jul 01 14:11:41 2009  
Wed Jul 01 14:11:41 2009  commencing relation filtering
Wed Jul 01 14:11:41 2009  commencing duplicate removal, pass 1
...
<errors skipped>
...
Wed Jul 01 14:20:30 2009  found 12936357 hash collisions in 57701157 relations
Wed Jul 01 14:20:56 2009  added 9 free relations
Wed Jul 01 14:20:56 2009  commencing duplicate removal, pass 2
Wed Jul 01 14:23:12 2009  found 11910252 duplicates and 45790914 unique relations
Wed Jul 01 14:23:12 2009  memory use: 298.4 MB
Wed Jul 01 14:23:12 2009  reading rational ideals above 42926080
Wed Jul 01 14:23:12 2009  reading algebraic ideals above 42926080
Wed Jul 01 14:23:12 2009  commencing singleton removal, pass 1
Wed Jul 01 14:30:55 2009  relations with 0 large ideals: 1510351
Wed Jul 01 14:30:55 2009  relations with 1 large ideals: 6811639
Wed Jul 01 14:30:55 2009  relations with 2 large ideals: 14796919
Wed Jul 01 14:30:55 2009  relations with 3 large ideals: 15230713
Wed Jul 01 14:30:55 2009  relations with 4 large ideals: 6426946
Wed Jul 01 14:30:55 2009  relations with 5 large ideals: 11119
Wed Jul 01 14:30:55 2009  relations with 6 large ideals: 0
Wed Jul 01 14:30:55 2009  relations with 7+ large ideals: 1003227
Wed Jul 01 14:30:55 2009  45790914 relations and about 35545167 large ideals
Wed Jul 01 14:30:55 2009  commencing singleton removal, pass 2
Wed Jul 01 14:38:32 2009  found 10279629 singletons
Wed Jul 01 14:38:32 2009  current dataset: 35511285 relations and about 24146004 large ideals
Wed Jul 01 14:38:32 2009  commencing singleton removal, pass 3
Wed Jul 01 14:44:37 2009  found 2264708 singletons
Wed Jul 01 14:44:37 2009  current dataset: 33246577 relations and about 21818327 large ideals
Wed Jul 01 14:44:37 2009  commencing singleton removal, pass 4
Wed Jul 01 14:50:24 2009  found 493843 singletons
Wed Jul 01 14:50:24 2009  current dataset: 32752734 relations and about 21321359 large ideals
Wed Jul 01 14:50:24 2009  commencing singleton removal, final pass
Wed Jul 01 14:56:34 2009  memory use: 542.2 MB
Wed Jul 01 14:56:34 2009  commencing in-memory singleton removal
Wed Jul 01 14:56:38 2009  begin with 32752734 relations and 26008754 unique ideals
Wed Jul 01 14:57:39 2009  reduce to 25669667 relations and 18602735 ideals in 15 passes
Wed Jul 01 14:57:39 2009  max relations containing the same ideal: 29
Wed Jul 01 14:57:47 2009  reading rational ideals above 720000
Wed Jul 01 14:57:47 2009  reading algebraic ideals above 720000
Wed Jul 01 14:57:47 2009  commencing singleton removal, final pass
Wed Jul 01 15:04:42 2009  keeping 21666592 ideals with weight <= 20, new excess is 2133916
Wed Jul 01 15:05:28 2009  memory use: 695.6 MB
Wed Jul 01 15:05:28 2009  commencing in-memory singleton removal
Wed Jul 01 15:05:34 2009  begin with 25669677 relations and 21666592 unique ideals
Wed Jul 01 15:06:28 2009  reduce to 25657866 relations and 21654721 ideals in 10 passes
Wed Jul 01 15:06:28 2009  max relations containing the same ideal: 20
Wed Jul 01 15:06:56 2009  removing 3005017 relations and 2605017 ideals in 400000 cliques
Wed Jul 01 15:06:58 2009  commencing in-memory singleton removal
Wed Jul 01 15:07:03 2009  begin with 22652849 relations and 21654721 unique ideals
Wed Jul 01 15:07:46 2009  reduce to 22377318 relations and 18768304 ideals in 9 passes
Wed Jul 01 15:07:46 2009  max relations containing the same ideal: 20
Wed Jul 01 15:08:10 2009  removing 2232892 relations and 1832892 ideals in 400000 cliques
Wed Jul 01 15:08:12 2009  commencing in-memory singleton removal
Wed Jul 01 15:08:16 2009  begin with 20144426 relations and 18768304 unique ideals
Wed Jul 01 15:08:54 2009  reduce to 19976966 relations and 16764856 ideals in 9 passes
Wed Jul 01 15:08:54 2009  max relations containing the same ideal: 20
Wed Jul 01 15:09:16 2009  removing 1985426 relations and 1585426 ideals in 400000 cliques
Wed Jul 01 15:09:17 2009  commencing in-memory singleton removal
Wed Jul 01 15:09:21 2009  begin with 17991540 relations and 16764856 unique ideals
Wed Jul 01 15:09:51 2009  reduce to 17842569 relations and 15027706 ideals in 8 passes
Wed Jul 01 15:09:51 2009  max relations containing the same ideal: 20
Wed Jul 01 15:10:10 2009  removing 1626832 relations and 1287312 ideals in 339520 cliques
Wed Jul 01 15:10:11 2009  commencing in-memory singleton removal
Wed Jul 01 15:10:15 2009  begin with 16215737 relations and 15027706 unique ideals
Wed Jul 01 15:10:41 2009  reduce to 16105168 relations and 13627906 ideals in 8 passes
Wed Jul 01 15:10:41 2009  max relations containing the same ideal: 20
Wed Jul 01 15:11:00 2009  relations with 0 large ideals: 188734
Wed Jul 01 15:11:00 2009  relations with 1 large ideals: 934969
Wed Jul 01 15:11:00 2009  relations with 2 large ideals: 2781036
Wed Jul 01 15:11:00 2009  relations with 3 large ideals: 4487783
Wed Jul 01 15:11:00 2009  relations with 4 large ideals: 4224982
Wed Jul 01 15:11:00 2009  relations with 5 large ideals: 2362319
Wed Jul 01 15:11:00 2009  relations with 6 large ideals: 790965
Wed Jul 01 15:11:00 2009  relations with 7+ large ideals: 334380
Wed Jul 01 15:11:00 2009  commencing 2-way merge
Wed Jul 01 15:11:25 2009  reduce to 10513011 relation sets and 8035749 unique ideals
Wed Jul 01 15:11:25 2009  commencing full merge
Wed Jul 01 15:14:22 2009  memory use: 668.7 MB
Wed Jul 01 15:14:24 2009  found 5321363 cycles, need 4983949
Wed Jul 01 15:14:25 2009  weight of 4983949 cycles is about 348959609 (70.02/cycle)
Wed Jul 01 15:14:25 2009  distribution of cycle lengths:
Wed Jul 01 15:14:25 2009  1 relations: 646624
Wed Jul 01 15:14:25 2009  2 relations: 592897
Wed Jul 01 15:14:25 2009  3 relations: 585016
Wed Jul 01 15:14:25 2009  4 relations: 540378
Wed Jul 01 15:14:25 2009  5 relations: 485992
Wed Jul 01 15:14:25 2009  6 relations: 431904
Wed Jul 01 15:14:25 2009  7 relations: 374722
Wed Jul 01 15:14:25 2009  8 relations: 322521
Wed Jul 01 15:14:25 2009  9 relations: 271731
Wed Jul 01 15:14:25 2009  10+ relations: 732164
Wed Jul 01 15:14:25 2009  heaviest cycle: 17 relations
Wed Jul 01 15:14:27 2009  commencing cycle optimization
Wed Jul 01 15:14:40 2009  start with 26812971 relations
Wed Jul 01 15:15:54 2009  pruned 764649 relations
Wed Jul 01 15:15:54 2009  memory use: 702.9 MB
Wed Jul 01 15:15:54 2009  distribution of cycle lengths:
Wed Jul 01 15:15:54 2009  1 relations: 646624
Wed Jul 01 15:15:54 2009  2 relations: 608083
Wed Jul 01 15:15:54 2009  3 relations: 609511
Wed Jul 01 15:15:54 2009  4 relations: 558036
Wed Jul 01 15:15:54 2009  5 relations: 502517
Wed Jul 01 15:15:54 2009  6 relations: 441832
Wed Jul 01 15:15:54 2009  7 relations: 381306
Wed Jul 01 15:15:54 2009  8 relations: 323543
Wed Jul 01 15:15:54 2009  9 relations: 269057
Wed Jul 01 15:15:54 2009  10+ relations: 643440
Wed Jul 01 15:15:54 2009  heaviest cycle: 17 relations
Wed Jul 01 15:16:18 2009  RelProcTime: 3714
Wed Jul 01 15:16:18 2009  
Wed Jul 01 15:16:18 2009  commencing linear algebra
Wed Jul 01 15:16:34 2009  read 4983949 cycles
Wed Jul 01 15:16:48 2009  cycles contain 14619558 unique relations
Wed Jul 01 15:24:04 2009  read 14619558 relations
Wed Jul 01 15:24:44 2009  using 20 quadratic characters above 536870730
Wed Jul 01 15:26:02 2009  building initial matrix
Wed Jul 01 15:30:16 2009  memory use: 1620.3 MB
Wed Jul 01 15:30:38 2009  read 4983949 cycles
Wed Jul 01 15:34:16 2009  matrix is 4983422 x 4983949 (1411.7 MB) with weight 433789956 (87.04/col)
Wed Jul 01 15:34:16 2009  sparse part has weight 335172179 (67.25/col)
Wed Jul 01 15:37:37 2009  filtering completed in 3 passes
Wed Jul 01 15:37:39 2009  matrix is 4960805 x 4961005 (1408.5 MB) with weight 432669651 (87.21/col)
Wed Jul 01 15:37:39 2009  sparse part has weight 334512750 (67.43/col)
Wed Jul 01 15:38:37 2009  read 4961005 cycles
Wed Jul 01 16:11:38 2009  matrix is 4960805 x 4961005 (1408.5 MB) with weight 432669651 (87.21/col)
Wed Jul 01 16:11:38 2009  sparse part has weight 334512750 (67.43/col)
Wed Jul 01 16:11:39 2009  saving the first 48 matrix rows for later
Wed Jul 01 16:11:42 2009  matrix is 4960757 x 4961005 (1336.0 MB) with weight 344782488 (69.50/col)
Wed Jul 01 16:11:42 2009  sparse part has weight 320465925 (64.60/col)
Wed Jul 01 16:11:42 2009  matrix includes 64 packed rows
Wed Jul 01 16:11:42 2009  using block size 65536 for processor cache size 6144 kB
Wed Jul 01 16:12:22 2009  commencing Lanczos iteration
Wed Jul 01 16:12:22 2009  memory use: 1379.2 MB
Tue Jul 07 06:20:38 2009  lanczos halted after 78450 iterations (dim = 4960755)
Tue Jul 07 06:21:31 2009  recovered 34 nontrivial dependencies
Tue Jul 07 06:21:51 2009  BLanczosTime: 486333
Tue Jul 07 06:21:51 2009  
Tue Jul 07 06:21:51 2009  commencing square root phase
Tue Jul 07 06:21:51 2009  reading relations for dependency 1
Tue Jul 07 06:22:29 2009  read 2480662 cycles
Tue Jul 07 06:22:37 2009  cycles contain 8947738 unique relations
Tue Jul 07 06:37:31 2009  read 8947738 relations
Tue Jul 07 06:38:47 2009  multiplying 7302868 relations
Tue Jul 07 07:01:05 2009  multiply complete, coefficients have about 177.09 million bits
Tue Jul 07 07:01:07 2009  initial square root is modulo 2265643
Tue Jul 07 07:30:25 2009  reading relations for dependency 2
Tue Jul 07 07:30:27 2009  read 2481818 cycles
Tue Jul 07 07:30:35 2009  cycles contain 8947960 unique relations
Tue Jul 07 07:44:37 2009  read 8947960 relations
Tue Jul 07 07:45:54 2009  multiplying 7304400 relations
Tue Jul 07 08:07:55 2009  multiply complete, coefficients have about 177.13 million bits
Tue Jul 07 08:07:57 2009  initial square root is modulo 2273239
Tue Jul 07 08:37:11 2009  reading relations for dependency 3
Tue Jul 07 08:37:13 2009  read 2482950 cycles
Tue Jul 07 08:37:21 2009  cycles contain 8953002 unique relations
Tue Jul 07 08:51:19 2009  read 8953002 relations
Tue Jul 07 08:52:29 2009  multiplying 7306608 relations
Tue Jul 07 09:15:24 2009  multiply complete, coefficients have about 177.18 million bits
Tue Jul 07 09:15:26 2009  initial square root is modulo 2282737
Tue Jul 07 09:40:26 2009  reading relations for dependency 4
Tue Jul 07 09:40:29 2009  read 2481076 cycles
Tue Jul 07 09:40:36 2009  cycles contain 8944839 unique relations
Tue Jul 07 09:52:26 2009  read 8944839 relations
Tue Jul 07 09:53:35 2009  multiplying 7300174 relations
Tue Jul 07 10:13:57 2009  multiply complete, coefficients have about 177.03 million bits
Tue Jul 07 10:13:59 2009  initial square root is modulo 2254477
Tue Jul 07 10:39:07 2009  reading relations for dependency 5
Tue Jul 07 10:39:09 2009  read 2482085 cycles
Tue Jul 07 10:39:16 2009  cycles contain 8950605 unique relations
Tue Jul 07 10:51:17 2009  read 8950605 relations
Tue Jul 07 10:52:27 2009  multiplying 7305078 relations
Tue Jul 07 11:14:34 2009  multiply complete, coefficients have about 177.14 million bits
Tue Jul 07 11:14:36 2009  initial square root is modulo 2276503
Tue Jul 07 11:43:26 2009  reading relations for dependency 6
Tue Jul 07 11:43:28 2009  read 2478711 cycles
Tue Jul 07 11:43:35 2009  cycles contain 8941063 unique relations
Tue Jul 07 11:57:15 2009  read 8941063 relations
Tue Jul 07 11:58:30 2009  multiplying 7295494 relations
Tue Jul 07 12:20:25 2009  multiply complete, coefficients have about 176.91 million bits
Tue Jul 07 12:20:27 2009  initial square root is modulo 2233243
Tue Jul 07 12:48:44 2009  sqrtTime: 23213
Tue Jul 07 12:48:44 2009  prp51 factor: 551004498127928469834445340613015226657914601778213
Tue Jul 07 12:48:44 2009  prp51 factor: 676677276408056094567102599764052489094573413056051
Tue Jul 07 12:48:44 2009  prp120 factor: 298003080664845879339921984943623072483939555335465806206783935206506443967104530715870831039336178009293998396643169751
Tue Jul 07 12:48:44 2009  elapsed time 142:37:09
software ソフトウェア
GGNFS/msieve 1.42beta

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)
403e61939Jo Yeong UkMarch 6, 2009 08:20:01 UTC 2009 年 3 月 6 日 (金) 17 時 20 分 1 秒 (日本時間)
4511e6281050Makoto KamadaFebruary 20, 2009 14:11:40 UTC 2009 年 2 月 20 日 (金) 23 時 11 分 40 秒 (日本時間)
60Makoto KamadaFebruary 21, 2009 13:12:29 UTC 2009 年 2 月 21 日 (土) 22 時 12 分 29 秒 (日本時間)
2700Jo Yeong UkMay 1, 2009 03:20:38 UTC 2009 年 5 月 1 日 (金) 12 時 20 分 38 秒 (日本時間)
5043e61924 / 684945Dmitry DomanovMay 5, 2009 01:03:21 UTC 2009 年 5 月 5 日 (火) 10 時 3 分 21 秒 (日本時間)
122Dmitry DomanovMay 26, 2009 14:22:29 UTC 2009 年 5 月 26 日 (火) 23 時 22 分 29 秒 (日本時間)
350Dmitry DomanovMay 27, 2009 19:29:46 UTC 2009 年 5 月 28 日 (木) 4 時 29 分 46 秒 (日本時間)
200Dmitry DomanovMay 28, 2009 10:53:02 UTC 2009 年 5 月 28 日 (木) 19 時 53 分 2 秒 (日本時間)
1207Dmitry DomanovJune 1, 2009 13:15:37 UTC 2009 年 6 月 1 日 (月) 22 時 15 分 37 秒 (日本時間)

10223+179

c216

name 名前Dmitry Domanov
date 日付January 7, 2010 18:34:18 UTC 2010 年 1 月 8 日 (金) 3 時 34 分 18 秒 (日本時間)
composite number 合成数
186406989799828158852383130413480342087397029011843312174835142124238506475881349490420144019158761286034498304320856237393178775468996724214046150679816039415534304785904395545790066173922157969596908119454147394281<216>
prime factors 素因数
1440753351836151551475189259809686931548717<43>
composite cofactor 合成数の残り
129381611059425204857764193540199518541099205111705450494504413499411480415502247763038162235783108782157622190368480959495160841609898594095452863677403827579311627602670893<174>
factorization results 素因数分解の結果
Factor=1440753351836151551475189259809686931548717  Method=ECM  B1=11000000  Sigma=3191198134
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)
403e6400Serge BatalovMay 10, 2009 23:21:18 UTC 2009 年 5 月 11 日 (月) 8 時 21 分 18 秒 (日本時間)
4511e61887 / 4387820Dmitry DomanovJanuary 7, 2010 18:33:53 UTC 2010 年 1 月 8 日 (金) 3 時 33 分 53 秒 (日本時間)
1067KTakahashiOctober 12, 2014 22:19:01 UTC 2014 年 10 月 13 日 (月) 7 時 19 分 1 秒 (日本時間)

10224+179

c193

name 名前Makoto Kamada
date 日付December 15, 2009 06:40:15 UTC 2009 年 12 月 15 日 (火) 15 時 40 分 15 秒 (日本時間)
composite number 合成数
3886657098257806331434095545293329839817212614797090398280354923445762056113132379813681173655176220583770329799839670015856368240944943756244089374109897160110332176285865766830274002285359517<193>
prime factors 素因数
435014947587352996741211293991<30>
composite cofactor 合成数の残り
8934536893073881695362159200583021969912162189671777515715892258132715300674118774530310082315129943003392553047646488635199933129656686153169261847420414263935387<163>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 3886657098257806331434095545293329839817212614797090398280354923445762056113132379813681173655176220583770329799839670015856368240944943756244089374109897160110332176285865766830274002285359517 (193 digits)
[Mon Dec 14 20:03:58 2009]
Using MODMULN
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2823076904
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
20  25      30      35      40      45      50      55      60      65
3       11      54      322     2350    20265   199745  2246256 2.8e+007        4e+008
Step 1 took 16578ms
Using 24 small primes for NTT
Estimated memory usage: 62M
Initializing tables of differences for F took 15ms
Computing roots of F took 469ms
Building F from its roots took 1781ms
Computing 1/F took 1047ms
Initializing table of differences for G took 16ms
Computing roots of G took 437ms
Building G from its roots took 1641ms
Computing roots of G took 437ms
Building G from its roots took 1625ms
Computing G * H took 578ms
Reducing  G * H mod F took 562ms
Computing polyeval(F,G) took 3141ms
Computing product of all F(g_i) took 16ms
Step 2 took 11922ms
********** Factor found in step 2: 435014947587352996741211293991
Found probable prime factor of 30 digits: 435014947587352996741211293991
Composite cofactor 8934536893073881695362159200583021969912162189671777515715892258132715300674118774530310082315129943003392553047646488635199933129656686153169261847420414263935387 has 163 digits
software ソフトウェア
yoyo@home

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6427118Makoto KamadaFebruary 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)
309Ignacio SantosMarch 12, 2010 18:33:35 UTC 2010 年 3 月 13 日 (土) 3 時 33 分 35 秒 (日本時間)
403e6144040yoyoDecember 16, 2009 20:09:01 UTC 2009 年 12 月 17 日 (木) 5 時 9 分 1 秒 (日本時間)
130Ignacio SantosMarch 12, 2010 17:53:01 UTC 2010 年 3 月 13 日 (土) 2 時 53 分 1 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:37:03 UTC 2014 年 1 月 9 日 (木) 13 時 37 分 3 秒 (日本時間)
315KTakahashiMarch 14, 2014 11:12:19 UTC 2014 年 3 月 14 日 (金) 20 時 12 分 19 秒 (日本時間)
655KTakahashiMarch 19, 2014 03:29:27 UTC 2014 年 3 月 19 日 (水) 12 時 29 分 27 秒 (日本時間)
4511e61642 / 4142230Ignacio SantosNovember 21, 2013 17:57:25 UTC 2013 年 11 月 22 日 (金) 2 時 57 分 25 秒 (日本時間)
345KTakahashiMarch 20, 2014 04:56:38 UTC 2014 年 3 月 20 日 (木) 13 時 56 分 38 秒 (日本時間)
1067KTakahashiJuly 12, 2014 11:02:13 UTC 2014 年 7 月 12 日 (土) 20 時 2 分 13 秒 (日本時間)

10225+179

c223

name 名前RSALS + Lionel Debroux
date 日付June 12, 2012 16:51:23 UTC 2012 年 6 月 13 日 (水) 1 時 51 分 23 秒 (日本時間)
composite number 合成数
2096436058700209643605870020964360587002096436058700209643605870020964360587002096436058700209643605870020964360587002096436058700209643605870020964360587002096436058700209643605870020964360587002096436058700209643605870021<223>
prime factors 素因数
149585295903736691426664091118486250990542087820969174363915154937323942539486811<81>
14014987542955684054032101432696511435832129086375763375422702769335977507196219617116404494850148219982111681222562766420228764514409916694111<143>
factorization results 素因数分解の結果
Sun Jun 10 10:03:04 2012  Msieve v. 1.51 (SVN 719M)
Sun Jun 10 10:03:04 2012  random seeds: afc956e5 627679ea
Sun Jun 10 10:03:04 2012  factoring 2096436058700209643605870020964360587002096436058700209643605870020964360587002096436058700209643605870020964360587002096436058700209643605870020964360587002096436058700209643605870020964360587002096436058700209643605870021 (223 digits)
Sun Jun 10 10:03:05 2012  no P-1/P+1/ECM available, skipping
Sun Jun 10 10:03:05 2012  commencing number field sieve (223-digit input)
Sun Jun 10 10:03:05 2012  R0: -10000000000000000000000000000000000000
Sun Jun 10 10:03:05 2012  R1: 1
Sun Jun 10 10:03:05 2012  A0: 17
Sun Jun 10 10:03:05 2012  A1: 0
Sun Jun 10 10:03:05 2012  A2: 0
Sun Jun 10 10:03:05 2012  A3: 0
Sun Jun 10 10:03:05 2012  A4: 0
Sun Jun 10 10:03:05 2012  A5: 0
Sun Jun 10 10:03:05 2012  A6: 1000
Sun Jun 10 10:03:05 2012  skew 0.51, size 3.229e-11, alpha -0.463, combined = 1.514e-12 rroots = 0
Sun Jun 10 10:03:05 2012  
Sun Jun 10 10:03:05 2012  commencing relation filtering
Sun Jun 10 10:03:05 2012  estimated available RAM is 7963.2 MB
Sun Jun 10 10:03:05 2012  commencing duplicate removal, pass 1
Sun Jun 10 10:04:28 2012  error -15 reading relation 20970420
Sun Jun 10 10:04:30 2012  error -9 reading relation 21268037
Sun Jun 10 10:04:30 2012  error -15 reading relation 21399649
Sun Jun 10 10:04:30 2012  error -9 reading relation 21419889
Sun Jun 10 10:06:02 2012  error -15 reading relation 44513644
Sun Jun 10 10:06:54 2012  error -15 reading relation 57119881
Sun Jun 10 10:06:55 2012  skipped 10 relations with b > 2^32
Sun Jun 10 10:06:55 2012  found 11936832 hash collisions in 57492082 relations
Sun Jun 10 10:07:11 2012  added 1219871 free relations
Sun Jun 10 10:07:11 2012  commencing duplicate removal, pass 2
Sun Jun 10 10:08:51 2012  found 12014214 duplicates and 46697739 unique relations
Sun Jun 10 10:08:51 2012  memory use: 330.4 MB
Sun Jun 10 10:08:51 2012  reading ideals above 44236800
Sun Jun 10 10:08:51 2012  commencing singleton removal, initial pass
Sun Jun 10 10:12:51 2012  memory use: 1378.0 MB
Sun Jun 10 10:12:51 2012  reading all ideals from disk
Sun Jun 10 10:12:58 2012  memory use: 859.6 MB
Sun Jun 10 10:12:59 2012  commencing in-memory singleton removal
Sun Jun 10 10:13:01 2012  begin with 46697739 relations and 41783062 unique ideals
Sun Jun 10 10:13:19 2012  reduce to 27259838 relations and 20053760 ideals in 15 passes
Sun Jun 10 10:13:19 2012  max relations containing the same ideal: 30
Sun Jun 10 10:13:20 2012  reading ideals above 720000
Sun Jun 10 10:13:21 2012  commencing singleton removal, initial pass
Sun Jun 10 10:16:19 2012  memory use: 689.0 MB
Sun Jun 10 10:16:28 2012  reading all ideals from disk
Sun Jun 10 10:16:30 2012  memory use: 996.9 MB
Sun Jun 10 10:16:33 2012  keeping 25254529 ideals with weight <= 200, target excess is 146033
Sun Jun 10 10:16:35 2012  commencing in-memory singleton removal
Sun Jun 10 10:16:37 2012  begin with 27259862 relations and 25254529 unique ideals
Sun Jun 10 10:16:57 2012  reduce to 27246814 relations and 25241378 ideals in 9 passes
Sun Jun 10 10:16:57 2012  max relations containing the same ideal: 200
Sun Jun 10 10:17:08 2012  removing 2953234 relations and 2553234 ideals in 400000 cliques
Sun Jun 10 10:17:09 2012  commencing in-memory singleton removal
Sun Jun 10 10:17:11 2012  begin with 24293580 relations and 25241378 unique ideals
Sun Jun 10 10:17:31 2012  reduce to 24043850 relations and 22433397 ideals in 10 passes
Sun Jun 10 10:17:31 2012  max relations containing the same ideal: 191
Sun Jun 10 10:17:41 2012  removing 2189270 relations and 1789270 ideals in 400000 cliques
Sun Jun 10 10:17:42 2012  commencing in-memory singleton removal
Sun Jun 10 10:17:44 2012  begin with 21854580 relations and 22433397 unique ideals
Sun Jun 10 10:18:01 2012  reduce to 21705498 relations and 20492405 ideals in 10 passes
Sun Jun 10 10:18:01 2012  max relations containing the same ideal: 181
Sun Jun 10 10:18:10 2012  removing 1945657 relations and 1545657 ideals in 400000 cliques
Sun Jun 10 10:18:11 2012  commencing in-memory singleton removal
Sun Jun 10 10:18:12 2012  begin with 19759841 relations and 20492405 unique ideals
Sun Jun 10 10:18:28 2012  reduce to 19630670 relations and 18815299 ideals in 10 passes
Sun Jun 10 10:18:28 2012  max relations containing the same ideal: 168
Sun Jun 10 10:18:36 2012  removing 1816650 relations and 1416650 ideals in 400000 cliques
Sun Jun 10 10:18:37 2012  commencing in-memory singleton removal
Sun Jun 10 10:18:38 2012  begin with 17814020 relations and 18815299 unique ideals
Sun Jun 10 10:18:48 2012  reduce to 17692798 relations and 17275221 ideals in 7 passes
Sun Jun 10 10:18:48 2012  max relations containing the same ideal: 157
Sun Jun 10 10:18:55 2012  removing 1170514 relations and 922336 ideals in 248178 cliques
Sun Jun 10 10:18:56 2012  commencing in-memory singleton removal
Sun Jun 10 10:18:57 2012  begin with 16522284 relations and 17275221 unique ideals
Sun Jun 10 10:19:06 2012  reduce to 16466058 relations and 16295922 ideals in 7 passes
Sun Jun 10 10:19:06 2012  max relations containing the same ideal: 148
Sun Jun 10 10:19:16 2012  relations with 0 large ideals: 5185
Sun Jun 10 10:19:16 2012  relations with 1 large ideals: 459
Sun Jun 10 10:19:16 2012  relations with 2 large ideals: 6277
Sun Jun 10 10:19:16 2012  relations with 3 large ideals: 64018
Sun Jun 10 10:19:16 2012  relations with 4 large ideals: 374475
Sun Jun 10 10:19:16 2012  relations with 5 large ideals: 1330937
Sun Jun 10 10:19:16 2012  relations with 6 large ideals: 2993724
Sun Jun 10 10:19:16 2012  relations with 7+ large ideals: 11690983
Sun Jun 10 10:19:16 2012  commencing 2-way merge
Sun Jun 10 10:19:26 2012  reduce to 11025253 relation sets and 10855117 unique ideals
Sun Jun 10 10:19:26 2012  commencing full merge
Sun Jun 10 10:22:39 2012  memory use: 1403.7 MB
Sun Jun 10 10:22:41 2012  found 5528572 cycles, need 5509317
Sun Jun 10 10:22:41 2012  weight of 5509317 cycles is about 451859024 (82.02/cycle)
Sun Jun 10 10:22:41 2012  distribution of cycle lengths:
Sun Jun 10 10:22:41 2012  1 relations: 512468
Sun Jun 10 10:22:41 2012  2 relations: 589780
Sun Jun 10 10:22:41 2012  3 relations: 605861
Sun Jun 10 10:22:41 2012  4 relations: 570513
Sun Jun 10 10:22:41 2012  5 relations: 520887
Sun Jun 10 10:22:41 2012  6 relations: 469326
Sun Jun 10 10:22:41 2012  7 relations: 409773
Sun Jun 10 10:22:41 2012  8 relations: 354372
Sun Jun 10 10:22:41 2012  9 relations: 302199
Sun Jun 10 10:22:41 2012  10+ relations: 1174138
Sun Jun 10 10:22:41 2012  heaviest cycle: 27 relations
Sun Jun 10 10:22:43 2012  commencing cycle optimization
Sun Jun 10 10:22:50 2012  start with 34940012 relations
Sun Jun 10 10:23:43 2012  pruned 1097893 relations
Sun Jun 10 10:23:43 2012  memory use: 1045.8 MB
Sun Jun 10 10:23:43 2012  distribution of cycle lengths:
Sun Jun 10 10:23:43 2012  1 relations: 512468
Sun Jun 10 10:23:43 2012  2 relations: 602836
Sun Jun 10 10:23:43 2012  3 relations: 629744
Sun Jun 10 10:23:43 2012  4 relations: 588291
Sun Jun 10 10:23:43 2012  5 relations: 538666
Sun Jun 10 10:23:43 2012  6 relations: 479612
Sun Jun 10 10:23:43 2012  7 relations: 417910
Sun Jun 10 10:23:43 2012  8 relations: 357398
Sun Jun 10 10:23:43 2012  9 relations: 301850
Sun Jun 10 10:23:43 2012  10+ relations: 1080542
Sun Jun 10 10:23:43 2012  heaviest cycle: 26 relations
Sun Jun 10 10:23:51 2012  RelProcTime: 1246
Sun Jun 10 10:23:51 2012  
Sun Jun 10 10:23:51 2012  commencing linear algebra
Sun Jun 10 10:23:53 2012  read 5509317 cycles
Sun Jun 10 10:24:01 2012  cycles contain 16352564 unique relations
Sun Jun 10 10:25:45 2012  read 16352564 relations
Sun Jun 10 10:26:07 2012  using 20 quadratic characters above 536870840
Sun Jun 10 10:27:09 2012  building initial matrix
Sun Jun 10 10:29:35 2012  memory use: 2160.2 MB
Sun Jun 10 10:29:37 2012  read 5509317 cycles
Sun Jun 10 10:29:38 2012  matrix is 5509139 x 5509317 (1878.7 MB) with weight 551462569 (100.10/col)
Sun Jun 10 10:29:38 2012  sparse part has weight 431879142 (78.39/col)
Sun Jun 10 10:30:25 2012  filtering completed in 2 passes
Sun Jun 10 10:30:26 2012  matrix is 5508571 x 5508749 (1878.6 MB) with weight 551445341 (100.10/col)
Sun Jun 10 10:30:26 2012  sparse part has weight 431874346 (78.40/col)
Sun Jun 10 10:31:06 2012  matrix starts at (0, 0)
Sun Jun 10 10:31:07 2012  matrix is 5508571 x 5508749 (1878.6 MB) with weight 551445341 (100.10/col)
Sun Jun 10 10:31:07 2012  sparse part has weight 431874346 (78.40/col)
Sun Jun 10 10:31:07 2012  saving the first 48 matrix rows for later
Sun Jun 10 10:31:07 2012  matrix includes 64 packed rows
Sun Jun 10 10:31:08 2012  matrix is 5508523 x 5508749 (1800.6 MB) with weight 451513631 (81.96/col)
Sun Jun 10 10:31:08 2012  sparse part has weight 416924385 (75.68/col)
Sun Jun 10 10:31:08 2012  using block size 65536 for processor cache size 8192 kB
Sun Jun 10 10:31:23 2012  commencing Lanczos iteration (4 threads)
Sun Jun 10 10:31:23 2012  memory use: 1603.2 MB
Sun Jun 10 10:31:53 2012  linear algebra at 0.0%, ETA 29h 7m
Sun Jun 10 10:32:03 2012  checkpointing every 190000 dimensions
Mon Jun 11 07:09:09 2012  
Mon Jun 11 07:09:09 2012  
Mon Jun 11 07:09:09 2012  Msieve v. 1.51 (SVN 719M)
Mon Jun 11 07:09:09 2012  random seeds: eb8dbf75 3b13e969
Mon Jun 11 07:09:09 2012  factoring 2096436058700209643605870020964360587002096436058700209643605870020964360587002096436058700209643605870020964360587002096436058700209643605870020964360587002096436058700209643605870020964360587002096436058700209643605870021 (223 digits)
Mon Jun 11 07:09:11 2012  no P-1/P+1/ECM available, skipping
Mon Jun 11 07:09:11 2012  commencing number field sieve (223-digit input)
Mon Jun 11 07:09:11 2012  R0: -10000000000000000000000000000000000000
Mon Jun 11 07:09:11 2012  R1: 1
Mon Jun 11 07:09:11 2012  A0: 17
Mon Jun 11 07:09:11 2012  A1: 0
Mon Jun 11 07:09:11 2012  A2: 0
Mon Jun 11 07:09:11 2012  A3: 0
Mon Jun 11 07:09:11 2012  A4: 0
Mon Jun 11 07:09:11 2012  A5: 0
Mon Jun 11 07:09:11 2012  A6: 1000
Mon Jun 11 07:09:11 2012  skew 0.51, size 3.229e-11, alpha -0.463, combined = 1.514e-12 rroots = 0
Mon Jun 11 07:09:11 2012  
Mon Jun 11 07:09:11 2012  commencing linear algebra
Mon Jun 11 07:09:34 2012  matrix starts at (0, 0)
Mon Jun 11 07:09:35 2012  matrix is 5508571 x 5508749 (1878.6 MB) with weight 551445341 (100.10/col)
Mon Jun 11 07:09:35 2012  sparse part has weight 431874346 (78.40/col)
Mon Jun 11 07:09:35 2012  saving the first 48 matrix rows for later
Mon Jun 11 07:09:36 2012  matrix includes 64 packed rows
Mon Jun 11 07:09:37 2012  matrix is 5508523 x 5508749 (1800.6 MB) with weight 451513631 (81.96/col)
Mon Jun 11 07:09:37 2012  sparse part has weight 416924385 (75.68/col)
Mon Jun 11 07:09:37 2012  using block size 65536 for processor cache size 8192 kB
Mon Jun 11 07:09:51 2012  commencing Lanczos iteration (4 threads)
Mon Jun 11 07:09:51 2012  memory use: 1603.2 MB
Mon Jun 11 07:09:54 2012  restarting at iteration 27041 (dim = 1710004)
Mon Jun 11 07:10:23 2012  linear algebra at 31.1%, ETA 20h 9m
Mon Jun 11 07:10:32 2012  checkpointing every 200000 dimensions
Tue Jun 12 03:40:09 2012  lanczos halted after 87113 iterations (dim = 5508522)
Tue Jun 12 03:40:14 2012  recovered 35 nontrivial dependencies
Tue Jun 12 03:40:14 2012  BLanczosTime: 73863
Tue Jun 12 03:40:14 2012  
Tue Jun 12 03:40:14 2012  commencing square root phase
Tue Jun 12 03:40:14 2012  reading relations for dependency 1
Tue Jun 12 03:40:16 2012  read 2754399 cycles
Tue Jun 12 03:40:20 2012  cycles contain 8178298 unique relations
Tue Jun 12 03:41:58 2012  read 8178298 relations
Tue Jun 12 03:42:36 2012  multiplying 8178298 relations
Tue Jun 12 03:51:18 2012  multiply complete, coefficients have about 276.71 million bits
Tue Jun 12 03:51:19 2012  initial square root is modulo 92311
Tue Jun 12 04:06:23 2012  GCD is 1, no factor found
Tue Jun 12 04:06:23 2012  reading relations for dependency 2
Tue Jun 12 04:06:26 2012  read 2751096 cycles
Tue Jun 12 04:06:29 2012  cycles contain 8167842 unique relations
Tue Jun 12 04:08:06 2012  read 8167842 relations
Tue Jun 12 04:08:45 2012  multiplying 8167842 relations
Tue Jun 12 04:17:25 2012  multiply complete, coefficients have about 276.36 million bits
Tue Jun 12 04:17:26 2012  initial square root is modulo 91081
Tue Jun 12 04:32:32 2012  GCD is 1, no factor found
Tue Jun 12 04:32:32 2012  reading relations for dependency 3
Tue Jun 12 04:32:35 2012  read 2753364 cycles
Tue Jun 12 04:32:39 2012  cycles contain 8175110 unique relations
Tue Jun 12 04:34:15 2012  read 8175110 relations
Tue Jun 12 04:34:54 2012  multiplying 8175110 relations
Tue Jun 12 04:43:36 2012  multiply complete, coefficients have about 276.61 million bits
Tue Jun 12 04:43:37 2012  initial square root is modulo 91939
Tue Jun 12 04:58:42 2012  sqrtTime: 4708
Tue Jun 12 04:58:42 2012  prp81 factor: 149585295903736691426664091118486250990542087820969174363915154937323942539486811
Tue Jun 12 04:58:42 2012  prp143 factor: 14014987542955684054032101432696511435832129086375763375422702769335977507196219617116404494850148219982111681222562766420228764514409916694111
Tue Jun 12 04:58:42 2012  elapsed time 21:49:33
software ソフトウェア
ggnfs-lasieve4I14e on the RSALS grid + msieve SVN r719

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)
403e6400Serge BatalovMay 10, 2009 09:14:31 UTC 2009 年 5 月 10 日 (日) 18 時 14 分 31 秒 (日本時間)
4511e6605Dmitry DomanovDecember 19, 2009 22:31:05 UTC 2009 年 12 月 20 日 (日) 7 時 31 分 5 秒 (日本時間)
5043e6800Dmitry DomanovJune 11, 2011 07:04:07 UTC 2011 年 6 月 11 日 (土) 16 時 4 分 7 秒 (日本時間)
5511e72855 / 17424120Dmitry DomanovJune 11, 2011 23:24:03 UTC 2011 年 6 月 12 日 (日) 8 時 24 分 3 秒 (日本時間)
2735yoyo@homeAugust 30, 2011 12:00:04 UTC 2011 年 8 月 30 日 (火) 21 時 0 分 4 秒 (日本時間)
6026e78 / 408357Dmitry DomanovJune 11, 2011 23:24:50 UTC 2011 年 6 月 12 日 (日) 8 時 24 分 50 秒 (日本時間)
1Dmitry DomanovJune 11, 2011 23:24:56 UTC 2011 年 6 月 12 日 (日) 8 時 24 分 56 秒 (日本時間)

10226+179

c172

name 名前Ignacio Santos
date 日付November 21, 2013 17:56:51 UTC 2013 年 11 月 22 日 (金) 2 時 56 分 51 秒 (日本時間)
composite number 合成数
1169552076886731129487360093696751790761757322670325136971577183489366204064184036511359011560011937716545169911006049992117975334266045455374268093969228853357613237765251<172>
prime factors 素因数
69163823074175852562062225877701963<35>
composite cofactor 合成数の残り
16909881855900681286836616833755510452379661078353294364196117100879782293833628170596158424427373873756117840277775408799889027570180777<137>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4216000000
Step 1 took 36890ms
Step 2 took 21547ms
********** Factor found in step 2: 69163823074175852562062225877701963
Found probable prime factor of 35 digits: 69163823074175852562062225877701963
Composite cofactor 16909881855900681286836616833755510452379661078353294364196117100879782293833628170596158424427373873756117840277775408799889027570180777 has 137 digits
software ソフトウェア
GMP-ECM 7.0

c137

name 名前Ignacio Santos
date 日付December 22, 2013 18:29:58 UTC 2013 年 12 月 23 日 (月) 3 時 29 分 58 秒 (日本時間)
composite number 合成数
16909881855900681286836616833755510452379661078353294364196117100879782293833628170596158424427373873756117840277775408799889027570180777<137>
prime factors 素因数
51392056562075504754865997496240284599<38>
329036878208513624845461578263325490316497820862449371822054466686928763525298262262176730835365023<99>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:988570298
Step 1 took 33968ms
Step 2 took 19735ms
********** Factor found in step 2: 51392056562075504754865997496240284599
Found probable prime factor of 38 digits: 51392056562075504754865997496240284599
Probable prime cofactor 329036878208513624845461578263325490316497820862449371822054466686928763525298262262176730835365023 has 99 digits
software ソフトウェア
GMP-ECM 7.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)
403e6280 / 2318Makoto KamadaDecember 15, 2009 06:46:41 UTC 2009 年 12 月 15 日 (火) 15 時 46 分 41 秒 (日本時間)

10227+179

c186

composite cofactor 合成数の残り
295150539580798506491868633246637412970447251536931070751417939134516809175442515816217217455228058063465261126835488773546913582933917232948428980070075989396488792423553777070526481469<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)
403e61525280Makoto KamadaDecember 15, 2009 06:46:53 UTC 2009 年 12 月 15 日 (火) 15 時 46 分 53 秒 (日本時間)
10yoyoDecember 15, 2009 20:44:36 UTC 2009 年 12 月 16 日 (水) 5 時 44 分 36 秒 (日本時間)
280yoyoDecember 15, 2009 20:45:10 UTC 2009 年 12 月 16 日 (水) 5 時 45 分 10 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:37:04 UTC 2014 年 1 月 9 日 (木) 13 時 37 分 4 秒 (日本時間)
655KTakahashiMarch 19, 2014 03:29:46 UTC 2014 年 3 月 19 日 (水) 12 時 29 分 46 秒 (日本時間)
4511e6326 / 4138230Ignacio SantosNovember 21, 2013 18:27:23 UTC 2013 年 11 月 22 日 (金) 3 時 27 分 23 秒 (日本時間)
96KTakahashiMarch 19, 2014 23:08:34 UTC 2014 年 3 月 20 日 (木) 8 時 8 分 34 秒 (日本時間)

10230+179

c208

composite cofactor 合成数の残り
4790831883815614104242904472782635408958153433498493159635133979814970259065608633405529472909462454649714787573878706171775415242718141587609301174718245412533520238778198387970083111274092754707278035044701<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)
403e62318280Makoto KamadaDecember 15, 2009 06:47:04 UTC 2009 年 12 月 15 日 (火) 15 時 47 分 4 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:37:05 UTC 2014 年 1 月 9 日 (木) 13 時 37 分 5 秒 (日本時間)
1738KTakahashiMarch 24, 2014 04:20:45 UTC 2014 年 3 月 24 日 (月) 13 時 20 分 45 秒 (日本時間)
4511e6151 / 3963KTakahashiMarch 25, 2014 01:55:39 UTC 2014 年 3 月 25 日 (火) 10 時 55 分 39 秒 (日本時間)

10231+179

c203

composite cofactor 合成数の残り
59225658784369206000654795129515637776067224155851829760809982603929059283668521722869744179576100296853470430468579270948665599982715738636585726168058078597861130656587981192720789477975615654793010149<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)
403e62318280Makoto KamadaDecember 15, 2009 06:47:15 UTC 2009 年 12 月 15 日 (火) 15 時 47 分 15 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:37:05 UTC 2014 年 1 月 9 日 (木) 13 時 37 分 5 秒 (日本時間)
1738KTakahashiMarch 23, 2014 00:33:54 UTC 2014 年 3 月 23 日 (日) 9 時 33 分 54 秒 (日本時間)
4511e6151 / 3963KTakahashiMarch 24, 2014 22:45:22 UTC 2014 年 3 月 25 日 (火) 7 時 45 分 22 秒 (日本時間)

10232+179

c196

name 名前Makoto Kamada
date 日付December 15, 2009 06:40:19 UTC 2009 年 12 月 15 日 (火) 15 時 40 分 19 秒 (日本時間)
composite number 合成数
1171448638544762932351907908494663970476643690362893130411085823792270499423543789663011576627567935696315395295800785938152719188074903690312546061914970458942515265396550984538283442184575306771<196>
prime factors 素因数
11034650601549874189730158399<29>
composite cofactor 合成数の残り
106160918079293499828871171668387354975740392989821399884697192605813176167742276299320496961036627957248078891805720005695913237091468581973936046925810427808436406829<168>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 1171448638544762932351907908494663970476643690362893130411085823792270499423543789663011576627567935696315395295800785938152719188074903690312546061914970458942515265396550984538283442184575306771 (196 digits)
[Mon Dec 14 20:25:19 2009]
Using MODMULN
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2768889511
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
20       25      30      35      40      45      50      55      60      65
3       11      54      322     2350    20265   199745  2246256 2.8e+007        4e+008
Step 1 took 11485ms
Using 24 small primes for NTT
Estimated memory usage: 66M
Initializing tables of differences for F took 16ms
Computing roots of F took 547ms
Building F from its roots took 1016ms
Computing 1/F took 687ms
Initializing table of differences for G took 16ms
Computing roots of G took 531ms
Building G from its roots took 1032ms
Computing roots of G took 515ms
Building G from its roots took 1031ms
Computing G * H took 375ms
Reducing  G * H mod F took 360ms
Computing polyeval(F,G) took 1781ms
Computing product of all F(g_i) took 16ms
Step 2 took 7984ms
********** Factor found in step 2: 11034650601549874189730158399
Found probable prime factor of 29 digits: 11034650601549874189730158399
Composite cofactor 106160918079293499828871171668387354975740392989821399884697192605813176167742276299320496961036627957248078891805720005695913237091468581973936046925810427808436406829 has 168 digits
software ソフトウェア
yoyo@home

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6318118Makoto KamadaFebruary 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)
200Ignacio SantosMarch 12, 2010 19:29:49 UTC 2010 年 3 月 13 日 (土) 4 時 29 分 49 秒 (日本時間)
403e62264170yoyoDecember 16, 2009 20:09:52 UTC 2009 年 12 月 17 日 (木) 5 時 9 分 52 秒 (日本時間)
70Ignacio SantosMarch 12, 2010 19:19:27 UTC 2010 年 3 月 13 日 (土) 4 時 19 分 27 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:37:06 UTC 2014 年 1 月 9 日 (木) 13 時 37 分 6 秒 (日本時間)
358KTakahashiMarch 14, 2014 14:14:49 UTC 2014 年 3 月 14 日 (金) 23 時 14 分 49 秒 (日本時間)
1366KTakahashiMarch 19, 2014 03:30:18 UTC 2014 年 3 月 19 日 (水) 12 時 30 分 18 秒 (日本時間)
4511e61465 / 3965398KTakahashiMarch 19, 2014 23:09:05 UTC 2014 年 3 月 20 日 (木) 8 時 9 分 5 秒 (日本時間)
1067KTakahashiJuly 13, 2014 08:05:07 UTC 2014 年 7 月 13 日 (日) 17 時 5 分 7 秒 (日本時間)

10234+179

c207

name 名前Cyp
date 日付January 11, 2014 07:54:22 UTC 2014 年 1 月 11 日 (土) 16 時 54 分 22 秒 (日本時間)
composite number 合成数
322533128785260550275554849346415902698557712934864144560509035179395404929418697237077740665190498363059358723468449654108464605286658980864434581906101988295828586578410004120238197375337363217074066886733<207>
prime factors 素因数
826514527156001625362140838849717593<36>
390232861236065835843451321011203383044569980012921174494698485046352182604840932464386298812449055657004282904863871790073011763886904567934331614729284432021549485096981<171>
factorization results 素因数分解の結果
Run 4 out of 39:
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3262850865
Step 1 took 271179ms
Step 2 took 65416ms
********** Factor found in step 2: 826514527156001625362140838849717593
Found probable prime factor of 36 digits: 826514527156001625362140838849717593
Probable prime cofactor 390232861236065835843451321011203383044569980012921174494698485046352182604840932464386298812449055657004282904863871790073011763886904567934331614729284432021549485096981 has 171 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)
403e6580 / 2280280Makoto KamadaDecember 15, 2009 06:47:34 UTC 2009 年 12 月 15 日 (火) 15 時 47 分 34 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:37:07 UTC 2014 年 1 月 9 日 (木) 13 時 37 分 7 秒 (日本時間)
4511e60 / 4333--
5043e64 / 7531CypJanuary 11, 2014 07:54:21 UTC 2014 年 1 月 11 日 (土) 16 時 54 分 21 秒 (日本時間)

10235+179

c234

name 名前Serge Batalov
date 日付February 19, 2009 17:32:44 UTC 2009 年 2 月 20 日 (金) 2 時 32 分 44 秒 (日本時間)
composite number 合成数
370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370371<234>
prime factors 素因数
1462632956704910743229377279655903083<37>
composite cofactor 合成数の残り
253221677162778007115933666937499898630720100146308997547782269439806975654231771169379649040305075932932943995847187788035663927744145241864622405151602202392552517630064393035746096398124433056137<198>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3955205230
Step 1 took 84796ms
Step 2 took 55438ms
********** Factor found in step 2: 1462632956704910743229377279655903083
Found probable prime factor of 37 digits: 1462632956704910743229377279655903083
Composite cofactor has 198 digits
software ソフトウェア
GMP-ECM 6.2.1
execution environment 実行環境
Windows XP and Cygwin

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)
403e62318280Makoto KamadaDecember 15, 2009 06:47:41 UTC 2009 年 12 月 15 日 (火) 15 時 47 分 41 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:37:08 UTC 2014 年 1 月 9 日 (木) 13 時 37 分 8 秒 (日本時間)
1738KTakahashiMarch 22, 2014 11:58:46 UTC 2014 年 3 月 22 日 (土) 20 時 58 分 46 秒 (日本時間)
4511e6151 / 3963KTakahashiMarch 24, 2014 22:45:46 UTC 2014 年 3 月 25 日 (火) 7 時 45 分 46 秒 (日本時間)

10236+179

c215

composite cofactor 合成数の残り
81596785675168541823112364562305024672063812172606422815561577435763911680063814233982668414707006670015126305354278898068640908020776621063714177803890084399821021769825174974565073051301629498768960410744479165293<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)
403e62318280Makoto KamadaDecember 15, 2009 06:47:52 UTC 2009 年 12 月 15 日 (火) 15 時 47 分 52 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:37:08 UTC 2014 年 1 月 9 日 (木) 13 時 37 分 8 秒 (日本時間)
1738KTakahashiMarch 25, 2014 22:25:30 UTC 2014 年 3 月 26 日 (水) 7 時 25 分 30 秒 (日本時間)
4511e6151 / 3963KTakahashiMarch 26, 2014 10:38:13 UTC 2014 年 3 月 26 日 (水) 19 時 38 分 13 秒 (日本時間)

10237+179

c229

name 名前Makoto Kamada
date 日付December 15, 2009 06:40:20 UTC 2009 年 12 月 15 日 (火) 15 時 40 分 20 秒 (日本時間)
composite number 合成数
1719389271348978713120039345953880983197197850781980217907177570052513982585072918121216259313173002381434952114088919670771135995384994134329291632029354871682571868524334037507490025036216312932327429399336120762515923242549597<229>
prime factors 素因数
245770041528399372761722440431<30>
6995927008257020513213147481935171254602692742046147638121409624025066318654782565640266876425207293906006549803982132091174899763423630705114910859456080952174977330381795175212974818157466438019187<199>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 1719389271348978713120039345953880983197197850781980217907177570052513982585072918121216259313173002381434952114088919670771135995384994134329291632029354871682571868524334037507490025036216312932327429399336120762515923242549597 (229 digits)
[Mon Dec 14 20:27:43 2009]
Using MODMULN
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3076026454
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
20      25      30      35      40      45      50      55      60      65
3       11      54      322     2350    20265   199745  2246256 2.8e+007        4e+008
Step 1 took 26785ms
Using 27 small primes for NTT
Estimated memory usage: 72M
Initializing tables of differences for F took 16ms
Computing roots of F took 1076ms
Building F from its roots took 2277ms
Computing 1/F took 1389ms
Initializing table of differences for G took 15ms
Computing roots of G took 952ms
Building G from its roots took 2075ms
Computing roots of G took 952ms
Building G from its roots took 2028ms
Computing G * H took 748ms
Reducing  G * H mod F took 702ms
Computing polyeval(F,G) took 4150ms
Computing product of all F(g_i) took 31ms
Step 2 took 16520ms
********** Factor found in step 2: 245770041528399372761722440431
Found probable prime factor of 30 digits: 245770041528399372761722440431
Probable prime cofactor 6995927008257020513213147481935171254602692742046147638121409624025066318654782565640266876425207293906006549803982132091174899763423630705114910859456080952174977330381795175212974818157466438019187 has 199 digits
software ソフトウェア
yoyo@home

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)

10238+179

c226

name 名前KTakahashi
date 日付March 28, 2014 10:28:10 UTC 2014 年 3 月 28 日 (金) 19 時 28 分 10 秒 (日本時間)
composite number 合成数
3558757296577773074030321458119751347552491321185700155418864003028724622641189805955050666543638730108494043215236756202195631084334528665415070952002434367607012366060659755501085756095267759869511862756126979871406493204321<226>
prime factors 素因数
3247224071082911680176958626450269993491<40>
composite cofactor 合成数の残り
1095938321062940588943631887785649651155215279019685406368965787817601949690803324639150960362224517417469457326788129242951039413930755136266858286006237620118270899864082764534777827131<187>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 3558757296577773074030321458119751347552491321185700155418864003028724622641189805955050666543638730108494043215236756202195631084334528665415070952002434367607012366060659755501085756095267759869511862756126979871406493204321 (226 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2559412907
Step 1 took 19656ms
Step 2 took 8175ms
********** Factor found in step 2: 3247224071082911680176958626450269993491
Found probable prime factor of 40 digits: 3247224071082911680176958626450269993491
Composite cofactor 1095938321062940588943631887785649651155215279019685406368965787817601949690803324639150960362224517417469457326788129242951039413930755136266858286006237620118270899864082764534777827131 has 187 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)
403e62318280Makoto KamadaDecember 15, 2009 06:48:04 UTC 2009 年 12 月 15 日 (火) 15 時 48 分 4 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:37:09 UTC 2014 年 1 月 9 日 (木) 13 時 37 分 9 秒 (日本時間)
1738KTakahashiMarch 28, 2014 22:32:26 UTC 2014 年 3 月 29 日 (土) 7 時 32 分 26 秒 (日本時間)
4511e6151 / 3963KTakahashiMarch 29, 2014 04:10:28 UTC 2014 年 3 月 29 日 (土) 13 時 10 分 28 秒 (日本時間)

10239+179

c228

name 名前Wataru Sakai
date 日付July 3, 2010 04:37:59 UTC 2010 年 7 月 3 日 (土) 13 時 37 分 59 秒 (日本時間)
composite number 合成数
216357330667025798182532276335707788137553725917339569045312560543937815462288544203037494184206205067020031011720916810781419735543209400423181261106972353208123629187199042822104608022871154679755461854489900383418497503953911<228>
prime factors 素因数
1150262176975562302996781848635447127<37>
composite cofactor 合成数の残り
188093927626051448089997455997717519926459494295733323265494783603891283467558437636937364132825297967762580572663720128479136551316154476615117018568575564589858989831433577999374877962679393<192>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1531963043
Step 1 took 23990ms
Step 2 took 8567ms
********** Factor found in step 2: 1150262176975562302996781848635447127
Found probable prime factor of 37 digits: 1150262176975562302996781848635447127
Composite cofactor 188093927626051448089997455997717519926459494295733323265494783603891283467558437636937364132825297967762580572663720128479136551316154476615117018568575564589858989831433577999374877962679393 has 192 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)
403e62318280Makoto KamadaDecember 15, 2009 06:48:12 UTC 2009 年 12 月 15 日 (火) 15 時 48 分 12 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:37:10 UTC 2014 年 1 月 9 日 (木) 13 時 37 分 10 秒 (日本時間)
1738KTakahashiMarch 21, 2014 10:32:52 UTC 2014 年 3 月 21 日 (金) 19 時 32 分 52 秒 (日本時間)
4511e6151 / 3963KTakahashiMarch 24, 2014 22:46:07 UTC 2014 年 3 月 25 日 (火) 7 時 46 分 7 秒 (日本時間)

10240+179

c205

name 名前Ben Meekins
date 日付May 5, 2015 04:19:20 UTC 2015 年 5 月 5 日 (火) 13 時 19 分 20 秒 (日本時間)
composite number 合成数
2358547011266171834282305720730406120259528822364868974000596698599093724329408162725657885669990860196272667987170031429794683334021431342120100044465254149905038908971894632488787661093332133474465956801<205>
prime factors 素因数
449695601667888699520225358727102056475180265695683782397<57>
5244763352184211514447647415782387090710874812419576532098981228154424265309061898111023798238097871002823979705643827294126588155524334500986234133<148>
factorization results 素因数分解の結果
Number: 11113_240
N = 2358547011266171834282305720730406120259528822364868974000596698599093724329408162725657885669990860196272667987170031429794683334021431342120100044465254149905038908971894632488787661093332133474465956801 (205 digits)
SNFS difficulty: 241 digits.
Divisors found:
r1=449695601667888699520225358727102056475180265695683782397 (pp57)
r2=5244763352184211514447647415782387090710874812419576532098981228154424265309061898111023798238097871002823979705643827294126588155524334500986234133 (pp148)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 2228.22 hours.
Factorization parameters were as follows:
n: 2358547011266171834282305720730406120259528822364868974000596698599093724329408162725657885669990860196272667987170031429794683334021431342120100044465254149905038908971894632488787661093332133474465956801
m: 10000000000000000000000000000000000000000
deg: 6
c6: 1
c0: 17
skew: 1.60
# Murphy_E = 5.962e-13
type: snfs
lss: 1
rlim: 70000000
alim: 70000000
lpbr: 30
lpba: 30
mfbr: 61
mfba: 61
rlambda: 2.7
alambda: 2.7
Factor base limits: 70000000/70000000
Large primes per side: 3
Large prime bits: 30/30
Sieved rational special-q in [0, 0)
Total raw relations: 110482263
Relations: 10922842 relations
Pruned matrix : 8051841 x 8052066
Polynomial selection time: 0.00 hours.
Total sieving time: 2142.94 hours.
Total relation processing time: 1.05 hours.
Matrix solve time: 83.85 hours.
time per square root: 0.38 hours.
Prototype def-par.txt line would be: snfs,241,6,0,0,0,0,0,0,0,0,70000000,70000000,30,30,61,61,2.7,2.7,200000
total time: 2228.22 hours.
x86_64
Linux-3.13.0-46-generic-x86_64-with-Ubuntu-14.04-trusty
processors: 4, speed: 0.80GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)
403e61946280Makoto KamadaDecember 15, 2009 06:48:22 UTC 2009 年 12 月 15 日 (火) 15 時 48 分 22 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:37:10 UTC 2014 年 1 月 9 日 (木) 13 時 37 分 10 秒 (日本時間)
1366KTakahashiMarch 19, 2014 08:16:15 UTC 2014 年 3 月 19 日 (水) 17 時 16 分 15 秒 (日本時間)
4511e696 / 3908KTakahashiMarch 19, 2014 23:09:43 UTC 2014 年 3 月 20 日 (木) 8 時 9 分 43 秒 (日本時間)
5043e639 / 7458CypJanuary 29, 2014 12:43:22 UTC 2014 年 1 月 29 日 (水) 21 時 43 分 22 秒 (日本時間)

10243+179

c210

name 名前Makoto Kamada
date 日付December 15, 2009 06:40:22 UTC 2009 年 12 月 15 日 (火) 15 時 40 分 22 秒 (日本時間)
composite number 合成数
635802821254124632245644134156344521699797959589567830765446538580491656222953927253387514145875048283079324184181135147768813698398498051741476677385558200484481165819627480049581712885502706227662268928773697<210>
prime factors 素因数
5698757463712416358165250190011999<34>
111568675330136835985158131132148286419662624343188790396091914312571328418864051146305057278675143858079578156757844170432496065307678374623319281825292812203036012184988862303<177>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 635802821254124632245644134156344521699797959589567830765446538580491656222953927253387514145875048283079324184181135147768813698398498051741476677385558200484481165819627480049581712885502706227662268928773697 (210 digits)
[Tue Dec 15 06:52:15 2009]
Using MODMULN
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=978631340
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
20  25      30      35      40      45      50      55      60      65
3       11      54      322     2350    20265   199745  2246256 2.8e+007        4e+008
Step 1 took 26067ms
Using 25 small primes for NTT
Estimated memory usage: 66M
Initializing tables of differences for F took 15ms
Computing roots of F took 952ms
Building F from its roots took 1841ms
Computing 1/F took 1029ms
Initializing table of differences for G took 32ms
Computing roots of G took 826ms
Building G from its roots took 1592ms
Computing roots of G took 734ms
Building G from its roots took 1684ms
Computing G * H took 546ms
Reducing  G * H mod F took 546ms
Computing polyeval(F,G) took 3276ms
Computing product of all F(g_i) took 16ms
Step 2 took 13136ms
********** Factor found in step 2: 5698757463712416358165250190011999
Found probable prime factor of 34 digits: 5698757463712416358165250190011999
Probable prime cofactor 111568675330136835985158131132148286419662624343188790396091914312571328418864051146305057278675143858079578156757844170432496065307678374623319281825292812203036012184988862303 has 177 digits
software ソフトウェア
yoyo@home

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)

10244+179

c217

composite cofactor 合成数の残り
1159192224043042055300366190916750621271934913362858268295459927345505908375270050868288120677206903806511727090671627055258189437915590228588421790582382609893652367031996495088441587657122679370533727613929837889857<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)
403e61946280Makoto KamadaDecember 15, 2009 06:48:39 UTC 2009 年 12 月 15 日 (火) 15 時 48 分 39 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:37:13 UTC 2014 年 1 月 9 日 (木) 13 時 37 分 13 秒 (日本時間)
1366KTakahashiMarch 19, 2014 08:17:47 UTC 2014 年 3 月 19 日 (水) 17 時 17 分 47 秒 (日本時間)
4511e696 / 3908KTakahashiMarch 19, 2014 23:10:10 UTC 2014 年 3 月 20 日 (木) 8 時 10 分 10 秒 (日本時間)
5043e639 / 7458CypJanuary 26, 2014 19:49:12 UTC 2014 年 1 月 27 日 (月) 4 時 49 分 12 秒 (日本時間)

10246+179

c229

composite cofactor 合成数の残り
2020070926679940813806765339575179558602044239771503553535929529575785577668978195369176956226445554343269098199146688382813078225114683628018280328128766133393569721661886603620336045089844876238065214427039793539662609163095567<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)
403e6280Makoto KamadaDecember 15, 2009 06:48:48 UTC 2009 年 12 月 15 日 (火) 15 時 48 分 48 秒 (日本時間)
4511e6601 / 4413600Dmitry DomanovAugust 28, 2011 20:49:05 UTC 2011 年 8 月 29 日 (月) 5 時 49 分 5 秒 (日本時間)
1KTakahashiMarch 14, 2014 06:45:40 UTC 2014 年 3 月 14 日 (金) 15 時 45 分 40 秒 (日本時間)

10250+179

c236

composite cofactor 合成数の残り
20541533972543283390107244033925983724574400252010326424334170199798261915824926517724126174456741696667342385415348793943728418730437626248449170961921668356866983629912602704794221715961381112103531534819457121975674260058807663792857<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 17, 2009 17:00:00 UTC 2009 年 2 月 18 日 (水) 2 時 0 分 0 秒 (日本時間)
403e62500Dmitry DomanovJuly 17, 2009 14:34:46 UTC 2009 年 7 月 17 日 (金) 23 時 34 分 46 秒 (日本時間)
4511e60--
5043e61118yoyo@homeJanuary 15, 2010 04:43:27 UTC 2010 年 1 月 15 日 (金) 13 時 43 分 27 秒 (日本時間)
5511e72640 / 17351yoyo@homeJune 16, 2010 01:10:53 UTC 2010 年 6 月 16 日 (水) 10 時 10 分 53 秒 (日本時間)

10251+179

c245

name 名前KTakahashi
date 日付August 4, 2015 14:41:47 UTC 2015 年 8 月 4 日 (火) 23 時 41 分 47 秒 (日本時間)
composite number 合成数
41953893510110259027533920771750261897180236863291979380500417651009893147628619100181282773857186429257974071654732881657715803486284642903142304670013748290903263131883322865836902560823705963620100781642989986864235941984477898479129406364993<245>
prime factors 素因数
129758053734658770980260007871825773<36>
50635177716674212311688015044227441587<38>
composite cofactor 合成数の残り
6385363274612774414193132528090889285327557659435967227726366301487512108416381639632861732312487629067544590914803560009015775752118189426010248763392671380190273293404743<172>
factorization results 素因数分解の結果
Input number is 41953893510110259027533920771750261897180236863291979380500417651009893147628619100181282773857186429257974071654732881657715803486284642903142304670013748290903263131883322865836902560823705963620100781642989986864235941984477898479129406364993 (245 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=609989704
Step 1 took 22246ms
Step 2 took 9594ms
********** Factor found in step 2: 129758053734658770980260007871825773
Found probable prime factor of 36 digits: 129758053734658770980260007871825773
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=695661403
Step 1 took 65208ms
Step 2 took 24913ms
********** Factor found in step 2: 50635177716674212311688015044227441587
Found probable prime factor of 38 digits: 50635177716674212311688015044227441587
Composite cofactor 6385363274612774414193132528090889285327557659435967227726366301487512108416381639632861732312487629067544590914803560009015775752118189426010248763392671380190273293404743 has 172 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)
786KTakahashiAugust 4, 2015 13:32:26 UTC 2015 年 8 月 4 日 (火) 22 時 32 分 26 秒 (日本時間)
403e62104KTakahashiAugust 4, 2015 13:32:26 UTC 2015 年 8 月 4 日 (火) 22 時 32 分 26 秒 (日本時間)
4511e61474KTakahashiAugust 4, 2015 13:32:26 UTC 2015 年 8 月 4 日 (火) 22 時 32 分 26 秒 (日本時間)
5043e61200 / 7138Erik BrangerNovember 3, 2015 13:43:54 UTC 2015 年 11 月 3 日 (火) 22 時 43 分 54 秒 (日本時間)

10252+179

c191

composite cofactor 合成数の残り
69159496473933578368152692913362028835311080300825022495821730801784010377687388660882436781608172725526148157132910873291833923339269446167175499654290669258720956998727884036227444564846257<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)
786KTakahashiAugust 4, 2015 13:32:56 UTC 2015 年 8 月 4 日 (火) 22 時 32 分 56 秒 (日本時間)
403e62104KTakahashiAugust 4, 2015 13:32:56 UTC 2015 年 8 月 4 日 (火) 22 時 32 分 56 秒 (日本時間)
4511e6162 / 3974KTakahashiAugust 4, 2015 13:32:56 UTC 2015 年 8 月 4 日 (火) 22 時 32 分 56 秒 (日本時間)

10253+179

c248

name 名前KTakahashi
date 日付August 4, 2015 14:39:07 UTC 2015 年 8 月 4 日 (火) 23 時 39 分 7 秒 (日本時間)
composite number 合成数
42054089970520082930665421865603539272211918970179444801904209193865149355100530302074528258245755690969725260630222592298213962798952012077934639533367817687109159801336478979263128235536547106888880478070894784872302755804515768181034446505094853<248>
prime factors 素因数
65074722138283545387824143025565690121<38>
composite cofactor 合成数の残り
646243096991721244636937476711675641002771440945693396542481205324251062812639195790330945992706232106955695692910412479608279854084919825880794431779258639523686950280991175765273366681655935864616437793321693<210>
factorization results 素因数分解の結果
Input number is 42054089970520082930665421865603539272211918970179444801904209193865149355100530302074528258245755690969725260630222592298213962798952012077934639533367817687109159801336478979263128235536547106888880478070894784872302755804515768181034446505094853 (248 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3153006073
Step 1 took 21668ms
Step 2 took 9017ms
********** Factor found in step 2: 65074722138283545387824143025565690121
Found probable prime factor of 38 digits: 65074722138283545387824143025565690121
Composite cofactor 646243096991721244636937476711675641002771440945693396542481205324251062812639195790330945992706232106955695692910412479608279854084919825880794431779258639523686950280991175765273366681655935864616437793321693 has 210 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)
786KTakahashiAugust 4, 2015 13:33:33 UTC 2015 年 8 月 4 日 (火) 22 時 33 分 33 秒 (日本時間)
403e62104KTakahashiAugust 4, 2015 13:33:33 UTC 2015 年 8 月 4 日 (火) 22 時 33 分 33 秒 (日本時間)
4511e6162 / 3974KTakahashiAugust 4, 2015 13:33:33 UTC 2015 年 8 月 4 日 (火) 22 時 33 分 33 秒 (日本時間)

10255+179

c215

name 名前KTakahashi
date 日付August 4, 2015 13:51:00 UTC 2015 年 8 月 4 日 (火) 22 時 51 分 0 秒 (日本時間)
composite number 合成数
31229339574745757117377588650677106073186740457148629191220492544624196959035074364345231168902830768830026748438465941601619781007476966245699766437015407966210065269726069140392586690760036496244028099410431127421<215>
prime factors 素因数
652430556355798253560163664589<30>
composite cofactor 合成数の残り
47866151072352693673022182988486338101355758231531802652011917122603364713016087122742613894604946287786780315437093261864575195146528453454609534456023141106409082320031689567340511089<185>
factorization results 素因数分解の結果
Input number is 31229339574745757117377588650677106073186740457148629191220492544624196959035074364345231168902830768830026748438465941601619781007476966245699766437015407966210065269726069140392586690760036496244028099410431127421 (215 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3447677882
Step 1 took 7379ms
Step 2 took 3822ms
********** Factor found in step 2: 652430556355798253560163664589
Found probable prime factor of 30 digits: 652430556355798253560163664589
Composite cofactor 47866151072352693673022182988486338101355758231531802652011917122603364713016087122742613894604946287786780315437093261864575195146528453454609534456023141106409082320031689567340511089 has 185 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)
786KTakahashiAugust 4, 2015 13:34:06 UTC 2015 年 8 月 4 日 (火) 22 時 34 分 6 秒 (日本時間)
403e62104KTakahashiAugust 4, 2015 13:34:06 UTC 2015 年 8 月 4 日 (火) 22 時 34 分 6 秒 (日本時間)
4511e6162 / 3974KTakahashiAugust 4, 2015 13:34:06 UTC 2015 年 8 月 4 日 (火) 22 時 34 分 6 秒 (日本時間)

10256+179

c216

composite cofactor 合成数の残り
312336321095176454626092407697477315601781950589021502488842450677868505176112544268940796868707345118360875723279511370847854984331886653235708712432570001810405042693719176394315460652594770404736902308104407848421<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)
786KTakahashiAugust 4, 2015 13:34:47 UTC 2015 年 8 月 4 日 (火) 22 時 34 分 47 秒 (日本時間)
403e62104KTakahashiAugust 4, 2015 13:34:47 UTC 2015 年 8 月 4 日 (火) 22 時 34 分 47 秒 (日本時間)
4511e6162 / 3974KTakahashiAugust 4, 2015 13:34:47 UTC 2015 年 8 月 4 日 (火) 22 時 34 分 47 秒 (日本時間)

10257+179

c209

composite cofactor 合成数の残り
14470229818199098396004945390951751657971953691636224240438472650244019834913116404127237268407228018008645196668923979208974324576582816152196098005785700524801299665944254617071512425653338823514052136106007<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)
786KTakahashiAugust 4, 2015 13:35:15 UTC 2015 年 8 月 4 日 (火) 22 時 35 分 15 秒 (日本時間)
403e62104KTakahashiAugust 4, 2015 13:35:15 UTC 2015 年 8 月 4 日 (火) 22 時 35 分 15 秒 (日本時間)
4511e6162 / 3974KTakahashiAugust 4, 2015 13:35:15 UTC 2015 年 8 月 4 日 (火) 22 時 35 分 15 秒 (日本時間)

10258+179

c243

composite cofactor 合成数の残り
346545018037144026139453110157653413592921126798311063844592806454073784063394877193574204290860459700915038639022312590408835128262059391504233295387234220430637943909232956290779491546390760343487453113334459939935715780651439827366400104279<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)
786KTakahashiAugust 4, 2015 13:35:44 UTC 2015 年 8 月 4 日 (火) 22 時 35 分 44 秒 (日本時間)
403e62104KTakahashiAugust 4, 2015 13:35:44 UTC 2015 年 8 月 4 日 (火) 22 時 35 分 44 秒 (日本時間)

10261+179

c216

composite cofactor 合成数の残り
807310406225644491440814122951765978232908151935667409998220688789676328663080403692086987657958639681239574703899544814781142232604372550276193273588379211027650824473298323493385579597170347474549770857826326557667<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)
786KTakahashiAugust 4, 2015 13:36:12 UTC 2015 年 8 月 4 日 (火) 22 時 36 分 12 秒 (日本時間)
403e62104KTakahashiAugust 4, 2015 13:36:12 UTC 2015 年 8 月 4 日 (火) 22 時 36 分 12 秒 (日本時間)
4511e6162 / 3974KTakahashiAugust 4, 2015 13:36:12 UTC 2015 年 8 月 4 日 (火) 22 時 36 分 12 秒 (日本時間)

10263+179

c242

composite cofactor 合成数の残り
16744685852701828988352955679323323573048607693321868106353891503698659669009067631107205953671351764598821337911939032004462182394900494332641604846814352662655008478526579256635530083163252257823443907374482152926025993615054193066349656339<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)
786KTakahashiAugust 4, 2015 13:36:40 UTC 2015 年 8 月 4 日 (火) 22 時 36 分 40 秒 (日本時間)
403e62104KTakahashiAugust 4, 2015 13:36:40 UTC 2015 年 8 月 4 日 (火) 22 時 36 分 40 秒 (日本時間)

10264+179

c228

name 名前KTakahashi
date 日付August 4, 2015 13:52:44 UTC 2015 年 8 月 4 日 (火) 22 時 52 分 44 秒 (日本時間)
composite number 合成数
116405633656714531506872126081849707164763363085214549667025067899649792868508061184498075254879038484915713109350240768506373039774819022415943609492182004204169491670900669221595241002265206317404755449292796861456266116634827<228>
prime factors 素因数
13116605219961679483267163330329<32>
composite cofactor 合成数の残り
8874676923230187278016383565895415263555332842712056367961725663538435344971249778180916478285126237137851607487472990060354156123401894892795390150815953626566267435824209229107134765475171032963<196>
factorization results 素因数分解の結果
Input number is 116405633656714531506872126081849707164763363085214549667025067899649792868508061184498075254879038484915713109350240768506373039774819022415943609492182004204169491670900669221595241002265206317404755449292796861456266116634827 (228 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=211638044
Step 1 took 6303ms
Step 2 took 3276ms
********** Factor found in step 2: 13116605219961679483267163330329
Found probable prime factor of 32 digits: 13116605219961679483267163330329
Composite cofactor 8874676923230187278016383565895415263555332842712056367961725663538435344971249778180916478285126237137851607487472990060354156123401894892795390150815953626566267435824209229107134765475171032963 has 196 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)
786KTakahashiAugust 4, 2015 13:37:07 UTC 2015 年 8 月 4 日 (火) 22 時 37 分 7 秒 (日本時間)
403e62104KTakahashiAugust 4, 2015 13:37:07 UTC 2015 年 8 月 4 日 (火) 22 時 37 分 7 秒 (日本時間)
4511e6162 / 3974KTakahashiAugust 4, 2015 13:37:07 UTC 2015 年 8 月 4 日 (火) 22 時 37 分 7 秒 (日本時間)

10265+179

c204

composite cofactor 合成数の残り
185173015487510111504240877360650828377148197191975953595469813977004422139794620499378101699676172931704344691904487006918297170335472431187040276670020435609147415319918537459549622993344632935038521939<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)
786KTakahashiAugust 4, 2015 13:37:41 UTC 2015 年 8 月 4 日 (火) 22 時 37 分 41 秒 (日本時間)
403e62104KTakahashiAugust 4, 2015 13:37:41 UTC 2015 年 8 月 4 日 (火) 22 時 37 分 41 秒 (日本時間)
4511e6162 / 3974KTakahashiAugust 4, 2015 13:37:41 UTC 2015 年 8 月 4 日 (火) 22 時 37 分 41 秒 (日本時間)

10266+179

c240

composite cofactor 合成数の残り
150329925674940876890793876449852347815538042117441505818767142080490227077027090863636975364146066636730076306185496866722436812529474736074591206172531916586999779020806383284083930333558326765659094973725249460741207719820094817357747949<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)
786KTakahashiAugust 4, 2015 13:38:06 UTC 2015 年 8 月 4 日 (火) 22 時 38 分 6 秒 (日本時間)
403e62104KTakahashiAugust 4, 2015 13:38:06 UTC 2015 年 8 月 4 日 (火) 22 時 38 分 6 秒 (日本時間)

10267+179

c237

composite cofactor 合成数の残り
434006101320973361240490876535072018812533873338357458636886222350715048907105024359542880063682282029452850248852517090173435303580051953896769876946364395157796609057225401484720191435118081917464338795951340042113845068942430179753133<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)
786KTakahashiAugust 4, 2015 13:38:29 UTC 2015 年 8 月 4 日 (火) 22 時 38 分 29 秒 (日本時間)
403e62104KTakahashiAugust 4, 2015 13:38:29 UTC 2015 年 8 月 4 日 (火) 22 時 38 分 29 秒 (日本時間)

10269+179

c238

composite cofactor 合成数の残り
1938593610345050238102147710992978246166957921061575892977917842537385072664569176198647259578490560372334477029286748244390785538320339229052667728282077177274593916884225934444825996030786377228689907590352181776421659884659127124947577<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)
786KTakahashiAugust 4, 2015 13:38:56 UTC 2015 年 8 月 4 日 (火) 22 時 38 分 56 秒 (日本時間)
403e62104KTakahashiAugust 4, 2015 13:38:56 UTC 2015 年 8 月 4 日 (火) 22 時 38 分 56 秒 (日本時間)

10270+179

c203

name 名前KTakahashi
date 日付August 4, 2015 13:54:39 UTC 2015 年 8 月 4 日 (火) 22 時 54 分 39 秒 (日本時間)
composite number 合成数
46245138736163470701883029998831131520086001677402993769652593612929142410729439921292026122167659833737621431424485042208663799857670539190941686463351199962904688382406995166972521834396261251517588413<203>
prime factors 素因数
598356244625816147058411719531<30>
77286966003142501542880089356511949177937445796837995042669407950848185949709399161090042035618328254943060737431273408641188792856904970497683690752233766007414960755343223<173>
factorization results 素因数分解の結果
Input number is 46245138736163470701883029998831131520086001677402993769652593612929142410729439921292026122167659833737621431424485042208663799857670539190941686463351199962904688382406995166972521834396261251517588413 (203 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2033232391
Step 1 took 5834ms
Step 2 took 3214ms
********** Factor found in step 2: 598356244625816147058411719531
Found probable prime factor of 30 digits: 598356244625816147058411719531
Probable prime cofactor 77286966003142501542880089356511949177937445796837995042669407950848185949709399161090042035618328254943060737431273408641188792856904970497683690752233766007414960755343223 has 173 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)

10271+179

c260

name 名前Dmitry Domanov
date 日付December 6, 2017 15:08:46 UTC 2017 年 12 月 7 日 (木) 0 時 8 分 46 秒 (日本時間)
composite number 合成数
24856599826789179786110906601633932715692205349134005439311232631603916223269143783594570224099100238043618662473985994516717839980403253361977240212620628944764839574623911859471472459898060023716053699759765546479656635559882444407494447616366936100208271231<260>
prime factors 素因数
879099006617040113105070323979276701<36>
composite cofactor 合成数の残り
28275085786346933549425294701083695413521776411104793612609342822470182221983858128483012271116870579346543296325292283255956684925764669016210333042556620071866515125272433722774250677548646657962136981282418001057174243531<224>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2478587631
Step 1 took 133416ms
Step 2 took 39563ms
********** Factor found in step 2: 879099006617040113105070323979276701
Found probable prime factor of 36 digits: 879099006617040113105070323979276701
Composite cofactor 28275085786346933549425294701083695413521776411104793612609342822470182221983858128483012271116870579346543296325292283255956684925764669016210333042556620071866515125272433722774250677548646657962136981282418001057174243531 has 224 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)
786KTakahashiAugust 4, 2015 13:39:21 UTC 2015 年 8 月 4 日 (火) 22 時 39 分 21 秒 (日本時間)
403e6604KTakahashiAugust 4, 2015 13:39:21 UTC 2015 年 8 月 4 日 (火) 22 時 39 分 21 秒 (日本時間)
4511e6600 / 4305Dmitry DomanovDecember 6, 2017 13:24:00 UTC 2017 年 12 月 6 日 (水) 22 時 24 分 0 秒 (日本時間)

10272+179

c230

composite cofactor 合成数の残り
27085861463852899795518531683383886220967072143290455400385339448433979972788262917978872380631607517051053391779544677882109474826084833115590461663514673601883204358858821421564511089746069688314200193655401277886852453774067667<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)
786KTakahashiAugust 4, 2015 13:40:02 UTC 2015 年 8 月 4 日 (火) 22 時 40 分 2 秒 (日本時間)
403e62104KTakahashiAugust 4, 2015 13:40:02 UTC 2015 年 8 月 4 日 (火) 22 時 40 分 2 秒 (日本時間)

10274+179

c182

composite cofactor 合成数の残り
38397550512888104509163569358190841122157734417546682169161739586471990461513988143413580811544083000844462153005170414021691269633488062879853397308108073452168309025399128311536213<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)
786KTakahashiAugust 4, 2015 13:40:37 UTC 2015 年 8 月 4 日 (火) 22 時 40 分 37 秒 (日本時間)
403e62104KTakahashiAugust 4, 2015 13:40:37 UTC 2015 年 8 月 4 日 (火) 22 時 40 分 37 秒 (日本時間)
4511e6162KTakahashiAugust 4, 2015 13:40:37 UTC 2015 年 8 月 4 日 (火) 22 時 40 分 37 秒 (日本時間)
5043e61200 / 7432Erik BrangerNovember 4, 2015 14:46:29 UTC 2015 年 11 月 4 日 (水) 23 時 46 分 29 秒 (日本時間)

10275+179

c214

composite cofactor 合成数の残り
6849668406897507912454221303763898092938871452858577439926187199055875281038493924296218598020581165819382577760388371896643026641972631244460114875541802666423598790049549268828340728605945761646024804722542949349<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)
786KTakahashiAugust 4, 2015 13:41:05 UTC 2015 年 8 月 4 日 (火) 22 時 41 分 5 秒 (日本時間)
403e62104KTakahashiAugust 4, 2015 13:41:05 UTC 2015 年 8 月 4 日 (火) 22 時 41 分 5 秒 (日本時間)
4511e6162 / 3974KTakahashiAugust 4, 2015 13:41:05 UTC 2015 年 8 月 4 日 (火) 22 時 41 分 5 秒 (日本時間)

10276+179

c265

composite cofactor 合成数の残り
2807528993154044677204367305763495822829415582521260560340664496900850313000852681871128088253194960904496712880407248883630319367112048332927494755854446197210146857322717446566108869365931004128742235177579247981166060052309529203171436307006227550984887618709901<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)
786KTakahashiAugust 4, 2015 13:41:30 UTC 2015 年 8 月 4 日 (火) 22 時 41 分 30 秒 (日本時間)
403e6604KTakahashiAugust 4, 2015 13:41:30 UTC 2015 年 8 月 4 日 (火) 22 時 41 分 30 秒 (日本時間)
4511e6600 / 4305Dmitry DomanovDecember 6, 2017 13:24:29 UTC 2017 年 12 月 6 日 (水) 22 時 24 分 29 秒 (日本時間)

10277+179

c247

composite cofactor 合成数の残り
4200931865190160913774385481223719378495198154262566261492489436459786793674161166642005455771542255378461477232283725564487777467184022127522046643352834435126862960009083560778071650066798915190014759480289967002832558404492196278623713445894027<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)
786KTakahashiAugust 4, 2015 13:41:56 UTC 2015 年 8 月 4 日 (火) 22 時 41 分 56 秒 (日本時間)
403e62104KTakahashiAugust 4, 2015 13:41:56 UTC 2015 年 8 月 4 日 (火) 22 時 41 分 56 秒 (日本時間)

10278+179

c271

name 名前Serge Batalov
date 日付August 5, 2015 21:42:29 UTC 2015 年 8 月 6 日 (木) 6 時 42 分 29 秒 (日本時間)
composite number 合成数
2913557572961090225273649339535831236955820648504888993310792303814362562696481217853080421385500931304110409147685057595643135930775736743291191345242266828205952741921353116738880647891293768445186702371732011790235159350184592810371309312857549964380301891764191450917<271>
prime factors 素因数
625505367989891482213316421498410464106491589<45>
4657925770204061543354826816473913124313664245110517101414988427516900346650308736481689670388240719490852666138218051276049402443261393181690941326857457681345906126108330935553944965756229266837749662817434792663544095280353<226>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1278583950
Step 1 took 108033ms
Step 2 took 30008ms
********** Factor found in step 2: 625505367989891482213316421498410464106491589
Found probable prime factor of 45 digits: 625505367989891482213316421498410464106491589
Probable prime cofactor 4657925770204061543354826816473913124313664245110517101414988427516900346650308736481689670388240719490852666138218051276049402443261393181690941326857457681345906126108330935553944965756229266837749662817434792663544095280353 has 226 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)
786KTakahashiAugust 4, 2015 13:42:18 UTC 2015 年 8 月 4 日 (火) 22 時 42 分 18 秒 (日本時間)
403e6604 / 2104KTakahashiAugust 4, 2015 13:42:18 UTC 2015 年 8 月 4 日 (火) 22 時 42 分 18 秒 (日本時間)

10279+179

c239

composite cofactor 合成数の残り
18581835839738513431463908518199431991245798196196884588885469380478024995782555052366052751971093288925883162273696250570882775953342074177080267223931683930900258135630841937418524819917151809750840867083567060208324946428688976355396147<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)
786KTakahashiAugust 4, 2015 13:42:50 UTC 2015 年 8 月 4 日 (火) 22 時 42 分 50 秒 (日本時間)
403e62104KTakahashiAugust 4, 2015 13:42:50 UTC 2015 年 8 月 4 日 (火) 22 時 42 分 50 秒 (日本時間)

10281+179

c212

composite cofactor 合成数の残り
49827817845105991596361833058975331918404319252615808052161384427847660114725375020690711259650891927667925898925285386444818955140322293628714943641556068540081669334814453253666001360873044224745651609137417881<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)
786KTakahashiAugust 4, 2015 13:43:18 UTC 2015 年 8 月 4 日 (火) 22 時 43 分 18 秒 (日本時間)
403e62104KTakahashiAugust 4, 2015 13:43:18 UTC 2015 年 8 月 4 日 (火) 22 時 43 分 18 秒 (日本時間)
4511e6162 / 3974KTakahashiAugust 4, 2015 13:43:18 UTC 2015 年 8 月 4 日 (火) 22 時 43 分 18 秒 (日本時間)

10282+179

c227

composite cofactor 合成数の残り
34599228870693904394731738735481388042678183712259967494983465450768282325722884372319694806331897880419406652736718484048110726612954186685155001411446740243786655657916351550304534414220064079112655648645467334703320765650577<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)
786KTakahashiAugust 4, 2015 13:43:45 UTC 2015 年 8 月 4 日 (火) 22 時 43 分 45 秒 (日本時間)
403e62104KTakahashiAugust 4, 2015 13:43:45 UTC 2015 年 8 月 4 日 (火) 22 時 43 分 45 秒 (日本時間)
4511e6162 / 3974KTakahashiAugust 4, 2015 13:43:45 UTC 2015 年 8 月 4 日 (火) 22 時 43 分 45 秒 (日本時間)

10283+179

c229

composite cofactor 合成数の残り
4019580330924122553488695291528503129332910673687025798594410406425531413928440893420117302513646143586749969679715957870360357491951380614418513737011932884106475240726389245977388548794917511419823015538856896485759495834402441<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)
786KTakahashiAugust 4, 2015 13:44:18 UTC 2015 年 8 月 4 日 (火) 22 時 44 分 18 秒 (日本時間)
403e62104KTakahashiAugust 4, 2015 13:44:18 UTC 2015 年 8 月 4 日 (火) 22 時 44 分 18 秒 (日本時間)
4511e6162 / 3974KTakahashiAugust 4, 2015 13:44:18 UTC 2015 年 8 月 4 日 (火) 22 時 44 分 18 秒 (日本時間)

10284+179

c282

name 名前KTakahashi
date 日付August 4, 2015 13:58:20 UTC 2015 年 8 月 4 日 (火) 22 時 58 分 20 秒 (日本時間)
composite number 合成数
854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854701<282>
prime factors 素因数
455641527981154692555443845296503053<36>
1875818603470676358427372584557894311957229014862916693228322285969093107616368373143190973525208642824140468116526351496293034002548736445650484148443446092843817207880089121797338416610219079573852420646146237176049548922433542372449614700707617<247>
factorization results 素因数分解の結果
Input number is 854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854701 (282 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2150813586
Step 1 took 10421ms
Step 2 took 5039ms
********** Factor found in step 2: 455641527981154692555443845296503053
Found probable prime factor of 36 digits: 455641527981154692555443845296503053
Probable prime cofactor 1875818603470676358427372584557894311957229014862916693228322285969093107616368373143190973525208642824140468116526351496293034002548736445650484148443446092843817207880089121797338416610219079573852420646146237176049548922433542372449614700707617 has 247 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)

10286+179

c252

name 名前KTakahashi
date 日付August 4, 2015 13:59:35 UTC 2015 年 8 月 4 日 (火) 22 時 59 分 35 秒 (日本時間)
composite number 合成数
270785976982835791908609979369141951451422812806379735802038913259982793993622000018279635051848595293794553519805522067582133252061884663140862037780970197802891745300636630440383596481985249754895989971468201749257688068297494548910128001294669183299<252>
prime factors 素因数
1120534420169662928943684406717<31>
composite cofactor 合成数の残り
241657884049501493669813625247681826734249704561897042128914952727846942038042560888339962391304030891944920360622084480221939093070078922704430645720552110840392630995487530230412451814991638956210927736962205327972782847<222>
factorization results 素因数分解の結果
Input number is 270785976982835791908609979369141951451422812806379735802038913259982793993622000018279635051848595293794553519805522067582133252061884663140862037780970197802891745300636630440383596481985249754895989971468201749257688068297494548910128001294669183299 (252 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3119710295
Step 1 took 8034ms
********** Factor found in step 1: 1120534420169662928943684406717
Found probable prime factor of 31 digits: 1120534420169662928943684406717
Composite cofactor 241657884049501493669813625247681826734249704561897042128914952727846942038042560888339962391304030891944920360622084480221939093070078922704430645720552110840392630995487530230412451814991638956210927736962205327972782847 has 222 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)
786KTakahashiAugust 4, 2015 13:45:13 UTC 2015 年 8 月 4 日 (火) 22 時 45 分 13 秒 (日本時間)
403e62104KTakahashiAugust 4, 2015 13:45:13 UTC 2015 年 8 月 4 日 (火) 22 時 45 分 13 秒 (日本時間)
4511e6162 / 3974KTakahashiAugust 4, 2015 13:45:13 UTC 2015 年 8 月 4 日 (火) 22 時 45 分 13 秒 (日本時間)

10289+179

c261

composite cofactor 合成数の残り
628545485681322304060798392103882334583314646513364010509468001156391293140624375359570594290967932992150068185563201854846153454078205147465267900251421684141431463940718371194578294033432773743293815802731410333686168961617283890918944203176243903389588639013<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)
786KTakahashiAugust 4, 2015 13:45:44 UTC 2015 年 8 月 4 日 (火) 22 時 45 分 44 秒 (日本時間)
403e6604KTakahashiAugust 4, 2015 13:45:44 UTC 2015 年 8 月 4 日 (火) 22 時 45 分 44 秒 (日本時間)
4511e6600 / 4305Dmitry DomanovDecember 23, 2017 00:40:07 UTC 2017 年 12 月 23 日 (土) 9 時 40 分 7 秒 (日本時間)

10291+179

c277

composite cofactor 合成数の残り
9654791644814268117491517715130713758636421626051842381110524214245254117446600858320541127355663960556211951186117159023337926088936196272905872364488233147052086743266705135817056658406788328935478464053353333948168830040485194067150186748363844219169515163346434413918320869<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)
786KTakahashiAugust 4, 2015 13:46:05 UTC 2015 年 8 月 4 日 (火) 22 時 46 分 5 秒 (日本時間)
403e62104funecm2017November 25, 2017 13:02:07 UTC 2017 年 11 月 25 日 (土) 22 時 2 分 7 秒 (日本時間)

10292+179

c270

composite cofactor 合成数の残り
911654484874087247784879242670418668058012100129838263392884985528268741552043986107860797140826390774562552401292983121065574155769891097563655499882387738775590808499702451450127889463845354971085619847446560442589743870454817660226800406566369502722681169097174011759<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)
786KTakahashiAugust 4, 2015 13:46:34 UTC 2015 年 8 月 4 日 (火) 22 時 46 分 34 秒 (日本時間)
403e6604KTakahashiAugust 4, 2015 13:46:34 UTC 2015 年 8 月 4 日 (火) 22 時 46 分 34 秒 (日本時間)
4511e6600 / 4305Dmitry DomanovDecember 23, 2017 21:10:31 UTC 2017 年 12 月 24 日 (日) 6 時 10 分 31 秒 (日本時間)

10293+179

c247

name 名前KTakahashi
date 日付August 4, 2015 14:40:15 UTC 2015 年 8 月 4 日 (火) 23 時 40 分 15 秒 (日本時間)
composite number 合成数
9663327099733181878338888164407443164891032575240558597130260958689898221269867541372099487397143031054097223269463198767548941492909960571837741537596901020278910922772832208775570262325371024652650356874881977866947678460868130988601567019873001<247>
prime factors 素因数
9317212475271165045959887838376823<34>
composite cofactor 合成数の残り
1037147872862257939194092928718511045246284113337634019339588475678064735845984737829602306177802062030934254526353218698193918792282744571612606839185631100631094010968995918286079834896286547100514250950058697887<214>
factorization results 素因数分解の結果
Input number is 9663327099733181878338888164407443164891032575240558597130260958689898221269867541372099487397143031054097223269463198767548941492909960571837741537596901020278910922772832208775570262325371024652650356874881977866947678460868130988601567019873001 (247 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2549146458
Step 1 took 21295ms
********** Factor found in step 1: 9317212475271165045959887838376823
Found probable prime factor of 34 digits: 9317212475271165045959887838376823
Composite cofactor 1037147872862257939194092928718511045246284113337634019339588475678064735845984737829602306177802062030934254526353218698193918792282744571612606839185631100631094010968995918286079834896286547100514250950058697887 has 214 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)
786KTakahashiAugust 4, 2015 13:47:06 UTC 2015 年 8 月 4 日 (火) 22 時 47 分 6 秒 (日本時間)
403e62104KTakahashiAugust 4, 2015 13:47:06 UTC 2015 年 8 月 4 日 (火) 22 時 47 分 6 秒 (日本時間)
4511e6162 / 3974KTakahashiAugust 4, 2015 13:47:06 UTC 2015 年 8 月 4 日 (火) 22 時 47 分 6 秒 (日本時間)

10294+179

c224

composite cofactor 合成数の残り
11181907495423606754122837164360803553171326158903709633187031144903249242601430338566318036344531549103744590305946115756989653291828112269242527240425877797497979157138810239010420196690761946347926486687875248136378963307<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)
786KTakahashiAugust 4, 2015 13:47:33 UTC 2015 年 8 月 4 日 (火) 22 時 47 分 33 秒 (日本時間)
403e62104KTakahashiAugust 4, 2015 13:47:33 UTC 2015 年 8 月 4 日 (火) 22 時 47 分 33 秒 (日本時間)
4511e6162 / 3974KTakahashiAugust 4, 2015 13:47:33 UTC 2015 年 8 月 4 日 (火) 22 時 47 分 33 秒 (日本時間)

10295+179

c287

composite cofactor 合成数の残り
10619656658025760014074188490254907643612465709380868080449026354779626943546772831884020469774763847004564792510615427379761701255148583444688663626643397044912107149735987530033835957116505329603722658622676047302495224581998074785807711157623720521331816366354086312038970903063605173<287>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)
786KTakahashiAugust 4, 2015 13:47:57 UTC 2015 年 8 月 4 日 (火) 22 時 47 分 57 秒 (日本時間)
403e62104funecm2017November 14, 2017 06:44:24 UTC 2017 年 11 月 14 日 (火) 15 時 44 分 24 秒 (日本時間)
4511e64482funecm2017November 14, 2017 06:44:24 UTC 2017 年 11 月 14 日 (火) 15 時 44 分 24 秒 (日本時間)

10297+179

c292

composite cofactor 合成数の残り
9994702807512018630126033202402726554925889278682298381857615463804183782595224530998570757498525781335891977252056410102645597833148431331394360988676001719088882892067204381677710813268967447252955933355321679509859774319610606378619331754170289746434389773420087353702537655042827301530189<292>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)
786KTakahashiAugust 4, 2015 13:48:16 UTC 2015 年 8 月 4 日 (火) 22 時 48 分 16 秒 (日本時間)
403e60--
4511e61200 / 4439Serge BatalovAugust 5, 2015 22:52:09 UTC 2015 年 8 月 6 日 (木) 7 時 52 分 9 秒 (日本時間)

10298+179

c296

composite cofactor 合成数の残り
52910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910053<296>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)
786KTakahashiAugust 4, 2015 13:48:37 UTC 2015 年 8 月 4 日 (火) 22 時 48 分 37 秒 (日本時間)
403e62104Kai InouyeAugust 5, 2015 14:40:27 UTC 2015 年 8 月 5 日 (水) 23 時 40 分 27 秒 (日本時間)
4511e61200 / 3974Serge BatalovAugust 5, 2015 22:52:10 UTC 2015 年 8 月 6 日 (木) 7 時 52 分 10 秒 (日本時間)

10300+179

c288

name 名前Dmitry Domanov
date 日付August 8, 2015 21:54:54 UTC 2015 年 8 月 9 日 (日) 6 時 54 分 54 秒 (日本時間)
composite number 合成数
122787098916866556614117943810352810983193681610984499021731290831436251185436531672235620731405612303928108513570408938780469692717113148811228517456138773454242685137818684209076646159246108468776989365173000223301640783960398439984931601861618482598708397910547810812877505971301438371<288>
prime factors 素因数
313002267521127703336265663992054841443<39>
composite cofactor 合成数の残り
392288208929919038728790076557423896911394119934349123507392455943355265024044216931426642460666036085896830276262865680211922237531396478803217004801267872218105874725927062738765084219165593987636660283576899228718884922667666036318252952455848897<249>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=800238739
Step 1 took 46379ms
Step 2 took 13857ms
********** Factor found in step 2: 313002267521127703336265663992054841443
Found probable prime factor of 39 digits: 313002267521127703336265663992054841443

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 4, 2015 12:00:00 UTC 2015 年 8 月 4 日 (火) 21 時 0 分 0 秒 (日本時間)
786KTakahashiAugust 4, 2015 13:48:55 UTC 2015 年 8 月 4 日 (火) 22 時 48 分 55 秒 (日本時間)
403e61200Dmitry DomanovAugust 8, 2015 20:05:57 UTC 2015 年 8 月 9 日 (日) 5 時 5 分 57 秒 (日本時間)
4511e6600Dmitry DomanovAugust 9, 2015 22:15:17 UTC 2015 年 8 月 10 日 (月) 7 時 15 分 17 秒 (日本時間)
5043e6800 / 7108Dmitry DomanovSeptember 6, 2015 17:23:23 UTC 2015 年 9 月 7 日 (月) 2 時 23 分 23 秒 (日本時間)
5511e7108 / 17436Dmitry DomanovSeptember 7, 2015 11:48:55 UTC 2015 年 9 月 7 日 (月) 20 時 48 分 55 秒 (日本時間)