Table of contents 目次

68×10102-239

c101

name 名前Dmitry Domanov
date 日付December 14, 2009 16:26:07 UTC 2009 年 12 月 15 日 (火) 1 時 26 分 7 秒 (日本時間)
composite number 合成数
30101814962372731297034085878707392651615759185480301018149623727312970340858787073926516157591854803<101>
prime factors 素因数
475408704971357587178647157962547319178567<42>
63317761428424632567026630310285880151845690096680698073109<59>
factorization results 素因数分解の結果
N=30101814962372731297034085878707392651615759185480301018149623727312970340858787073926516157591854803
  ( 101 digits)
SNFS difficulty: 103 digits.
Divisors found:
 r1=475408704971357587178647157962547319178567 (pp42)
 r2=63317761428424632567026630310285880151845690096680698073109 (pp59)
Version: Msieve-1.40
Total time: 0.42 hours.
Scaled time: 0.79 units (timescale=1.911).
Factorization parameters were as follows:
n: 30101814962372731297034085878707392651615759185480301018149623727312970340858787073926516157591854803
m: 20000000000000000000000000
deg: 4
c4: 425
c0: -23
skew: 0.48
type: snfs
lss: 1
rlim: 380000
alim: 380000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2Factor base limits: 380000/380000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [190000, 280001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 34910 x 35140
Total sieving time: 0.40 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,103.000,4,0,0,0,0,0,0,0,0,380000,380000,25,25,43,43,2.2,2.2,10000
total time: 0.42 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
3025e40--
351e6118 / 904Makoto KamadaDecember 14, 2009 15:00:00 UTC 2009 年 12 月 15 日 (火) 0 時 0 分 0 秒 (日本時間)

68×10104-239

c90

name 名前Markus Tervooren
date 日付December 14, 2009 17:05:41 UTC 2009 年 12 月 15 日 (火) 2 時 5 分 41 秒 (日本時間)
composite number 合成数
943014265637498297505998356358191789999906362475486416043098179590323289763284335407138471<90>
prime factors 素因数
7708013546252113778869071536500067456077<40>
122342061281926836162513959260860360435732273533123<51>
factorization results 素因数分解の結果
Used 4th degree poly for snfs,

n: 943014265637498297505998356358191789999906362475486416043098179590323289763284335407138471
m: 100000000000000000000000000
deg: 4
c4: 68
c0: -23
skew: 0.76
type: snfs
lss: 1
rlim: 100000
alim: 100000
lpbr: 23
lpba: 23
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4

total time: about 12 min.

Msieve v. 1.44
Mon Dec 14 18:03:45 2009
random seeds: f7271fc6 28bb6c01
factoring 943014265637498297505998356358191789999906362475486416043098179590323289763284335407138471 (90 digits)
searching for 15-digit factors
commencing number field sieve (90-digit input)
R0: -100000000000000000000000000
R1:  1
A0: -23
A1:  0
A2:  0
A3:  0
A4:  68
skew 0.76, size 5.461466e-11, alpha -0.039522, combined = 2.254282e-07

commencing square root phase
reading relations for dependency 1
read 18586 cycles
cycles contain 30766 unique relations
read 30766 relations
multiplying 30766 relations
multiply complete, coefficients have about 0.75 million bits
initial square root is modulo 9200017
sqrtTime: 1
prp40 factor: 7708013546252113778869071536500067456077
prp51 factor: 122342061281926836162513959260860360435732273533123
elapsed time 00:00:02

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 14, 2009 15:00:00 UTC 2009 年 12 月 15 日 (火) 0 時 0 分 0 秒 (日本時間)

68×10107-239

c92

name 名前Markus Tervooren
date 日付December 14, 2009 17:14:20 UTC 2009 年 12 月 15 日 (火) 2 時 14 分 20 秒 (日本時間)
composite number 合成数
37524474510009579674220059739386293496039978825802551255260543479116411715083896880512856333<92>
prime factors 素因数
55841787356899758089337509139209931113<38>
671978392635978033818610453543331621206951997598183941<54>
factorization results 素因数分解の結果
~12 mins. sieve time

prp38 factor: 55841787356899758089337509139209931113
prp54 factor: 671978392635978033818610453543331621206951997598183941

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 14, 2009 15:00:00 UTC 2009 年 12 月 15 日 (火) 0 時 0 分 0 秒 (日本時間)

68×10108-239

c88

name 名前Markus Tervooren
date 日付December 14, 2009 17:51:02 UTC 2009 年 12 月 15 日 (火) 2 時 51 分 2 秒 (日本時間)
composite number 合成数
6186944805212817714994638988045665381473731776907568352732376537999225070830777559784091<88>
prime factors 素因数
194946478745404642036108878353<30>
31736632767257197268708000583187127425753435733110756525547<59>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=720988234
Step 1 took 8113ms
Step 2 took 3832ms
********** Factor found in step 2: 194946478745404642036108878353
Found probable prime factor of 30 digits: 194946478745404642036108878353
Probable prime cofactor 31736632767257197268708000583187127425753435733110756525547 has 59 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 14, 2009 15:00:00 UTC 2009 年 12 月 15 日 (火) 0 時 0 分 0 秒 (日本時間)

68×10114-239

c91

name 名前Markus Tervooren
date 日付December 14, 2009 17:41:29 UTC 2009 年 12 月 15 日 (火) 2 時 41 分 29 秒 (日本時間)
composite number 合成数
5376806897123291439101867807335244813974440690322225025701357944450480030746339773031135767<91>
prime factors 素因数
3046332219582280736969449366056318755789<40>
1765010021743646241126701494557487844073819577055603<52>
factorization results 素因数分解の結果
~41 mins total

prp40 factor: 3046332219582280736969449366056318755789
prp52 factor: 1765010021743646241126701494557487844073819577055603

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 14, 2009 15:00:00 UTC 2009 年 12 月 15 日 (火) 0 時 0 分 0 秒 (日本時間)

68×10118-239

c112

name 名前Dmitry Domanov
date 日付December 14, 2009 17:32:14 UTC 2009 年 12 月 15 日 (火) 2 時 32 分 14 秒 (日本時間)
composite number 合成数
6678694405995298965223714114871599104453867100090361753152174336867276083780960548883392519824943169466949925811<112>
prime factors 素因数
127468924906638624877222907711<30>
52394686868873641010380131832209559693086903605068551738708211241825910072617577101<83>
factorization results 素因数分解の結果
N=6678694405995298965223714114871599104453867100090361753152174336867276083780960548883392519824943169466949925811
  ( 112 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=127468924906638624877222907711 (pp30)
 r2=52394686868873641010380131832209559693086903605068551738708211241825910072617577101 (pp83)
Version: Msieve-1.40
Total time: 1.10 hours.
Scaled time: 2.17 units (timescale=1.969).
Factorization parameters were as follows:
n: 6678694405995298965223714114871599104453867100090361753152174336867276083780960548883392519824943169466949925811
m: 200000000000000000000000
deg: 5
c5: 2125
c0: -23
skew: 0.40
type: snfs
lss: 1
rlim: 700000
alim: 700000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [350000, 600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 78114 x 78339
Total sieving time: 1.06 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,119.000,5,0,0,0,0,0,0,0,0,700000,700000,25,25,45,45,2.2,2.2,50000
total time: 1.10 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
3025e40--
351e6118 / 904Makoto KamadaDecember 14, 2009 15:00:00 UTC 2009 年 12 月 15 日 (火) 0 時 0 分 0 秒 (日本時間)

68×10119-239

c88

name 名前Dmitry Domanov
date 日付December 14, 2009 18:39:21 UTC 2009 年 12 月 15 日 (火) 3 時 39 分 21 秒 (日本時間)
composite number 合成数
1735114610277596319882101492881858349358905458206119477631290544003282647794410274481437<88>
prime factors 素因数
17163877973414236572565193518549799<35>
101091059547567240552656506384975203422975075543975963<54>
factorization results 素因数分解の結果
12/14/09 22:17:32 v1.14 @ REPGMAIL, starting SIQS on c88: 1735114610277596319882101492881858349358905458206119477631290544003282647794410274481437
12/14/09 22:17:32 v1.14 @ REPGMAIL, random seeds: 0, 3887612160
12/14/09 22:17:33 v1.14 @ REPGMAIL, ==== sieve params ====
12/14/09 22:17:33 v1.14 @ REPGMAIL, n = 89 digits, 294 bits
12/14/09 22:17:33 v1.14 @ REPGMAIL, factor base: 60488 primes (max prime = 1597793)
12/14/09 22:17:33 v1.14 @ REPGMAIL, single large prime cutoff: 175757230 (110 * pmax)
12/14/09 22:17:33 v1.14 @ REPGMAIL, double large prime range from 43 to 50 bits
12/14/09 22:17:33 v1.14 @ REPGMAIL, double large prime cutoff: 693176384915362
12/14/09 22:17:33 v1.14 @ REPGMAIL, allocating 12 large prime slices of factor base
12/14/09 22:17:33 v1.14 @ REPGMAIL, buckets hold 1024 elements
12/14/09 22:17:33 v1.14 @ REPGMAIL, sieve interval: 18 blocks of size 32768
12/14/09 22:17:33 v1.14 @ REPGMAIL, polynomial A has ~ 11 factors
12/14/09 22:17:33 v1.14 @ REPGMAIL, using multiplier of 13
12/14/09 22:17:33 v1.14 @ REPGMAIL, using small prime variation correction of 20 bits
12/14/09 22:17:33 v1.14 @ REPGMAIL, using SSE2 for trial division and x128 sieve scanning
12/14/09 22:17:33 v1.14 @ REPGMAIL, trial factoring cutoff at 98 bits
12/14/09 22:17:33 v1.14 @ REPGMAIL, ==== sieving started ( 8 threads) ====
12/14/09 22:31:20 v1.14 @ REPGMAIL, trial division touched 13149469 sieve locations out of 20630231580672
12/14/09 22:31:20 v1.14 @ REPGMAIL, 61829 relations found: 19559 full + 42270 from 580301 partial, using 17488464 polys (735 A polys)
12/14/09 22:31:20 v1.14 @ REPGMAIL, on average, sieving found 0.03 rels/poly and 724.59 rels/sec
12/14/09 22:31:20 v1.14 @ REPGMAIL, trial division touched 13149469 sieve locations out of 20630231580672
12/14/09 22:31:20 v1.14 @ REPGMAIL, ==== post processing stage (msieve-1.38) ====
12/14/09 22:31:20 v1.14 @ REPGMAIL, begin with 599860 relations
12/14/09 22:31:20 v1.14 @ REPGMAIL, reduce to 130589 relations in 9 passes
12/14/09 22:31:28 v1.14 @ REPGMAIL, recovered 130589 relations
12/14/09 22:31:28 v1.14 @ REPGMAIL, recovered 110394 polynomials
12/14/09 22:31:28 v1.14 @ REPGMAIL, attempting to build 61829 cycles
12/14/09 22:31:28 v1.14 @ REPGMAIL, found 61829 cycles in 5 passes
12/14/09 22:31:28 v1.14 @ REPGMAIL, distribution of cycle lengths:
12/14/09 22:31:28 v1.14 @ REPGMAIL,    length 1 : 19559
12/14/09 22:31:28 v1.14 @ REPGMAIL,    length 2 : 16198
12/14/09 22:31:28 v1.14 @ REPGMAIL,    length 3 : 11684
12/14/09 22:31:28 v1.14 @ REPGMAIL,    length 4 : 6913
12/14/09 22:31:28 v1.14 @ REPGMAIL,    length 5 : 3770
12/14/09 22:31:28 v1.14 @ REPGMAIL,    length 6 : 1976
12/14/09 22:31:28 v1.14 @ REPGMAIL,    length 7 : 948
12/14/09 22:31:28 v1.14 @ REPGMAIL,    length 9+: 781
12/14/09 22:31:28 v1.14 @ REPGMAIL, largest cycle: 18 relations
12/14/09 22:31:32 v1.14 @ REPGMAIL, matrix is 60488 x 61829 (12.7 MB) with weight 3090998 (49.99/col)
12/14/09 22:31:32 v1.14 @ REPGMAIL, sparse part has weight 3090998 (49.99/col)
12/14/09 22:31:33 v1.14 @ REPGMAIL, filtering completed in 4 passes
12/14/09 22:31:33 v1.14 @ REPGMAIL, matrix is 54334 x 54398 (11.2 MB) with weight 2705367 (49.73/col)
12/14/09 22:31:33 v1.14 @ REPGMAIL, sparse part has weight 2705367 (49.73/col)
12/14/09 22:31:33 v1.14 @ REPGMAIL, saving the first 48 matrix rows for later
12/14/09 22:31:33 v1.14 @ REPGMAIL, matrix is 54286 x 54398 (9.5 MB) with weight 2342063 (43.05/col)
12/14/09 22:31:33 v1.14 @ REPGMAIL, sparse part has weight 2168736 (39.87/col)
12/14/09 22:31:33 v1.14 @ REPGMAIL, matrix includes 64 packed rows
12/14/09 22:31:33 v1.14 @ REPGMAIL, using block size 21759 for processor cache size 6144 kB
12/14/09 22:31:33 v1.14 @ REPGMAIL, commencing Lanczos iteration
12/14/09 22:31:33 v1.14 @ REPGMAIL, memory use: 8.5 MB
12/14/09 22:31:51 v1.14 @ REPGMAIL, lanczos halted after 860 iterations (dim = 54286)
12/14/09 22:31:51 v1.14 @ REPGMAIL, recovered 18 nontrivial dependencies
12/14/09 22:31:51 v1.14 @ REPGMAIL, prp35 = 17163877973414236572565193518549799
12/14/09 22:31:52 v1.14 @ REPGMAIL, prp54 = 101091059547567240552656506384975203422975075543975963
12/14/09 22:31:52 v1.14 @ REPGMAIL, Lanczos elapsed time = 31.2030 seconds.
12/14/09 22:31:52 v1.14 @ REPGMAIL, Sqrt elapsed time = 1.5160 seconds.
12/14/09 22:31:52 v1.14 @ REPGMAIL, SIQS elapsed time = 860.5803 seconds.
software ソフトウェア
YAFU v1.14

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 14, 2009 15:00:00 UTC 2009 年 12 月 15 日 (火) 0 時 0 分 0 秒 (日本時間)

68×10127-239

c113

name 名前Dmitry Domanov
date 日付December 14, 2009 17:58:49 UTC 2009 年 12 月 15 日 (火) 2 時 58 分 49 秒 (日本時間)
composite number 合成数
15440759501239414746052470786880310377793924823079230995536396814451703822625126232937210152415871427113265849691<113>
prime factors 素因数
2930179327475689888309979195558841620446520287<46>
5269561271030268835690782346468544997247579366619279931709924249093<67>
factorization results 素因数分解の結果
N=15440759501239414746052470786880310377793924823079230995536396814451703822625126232937210152415871427113265849691
  ( 113 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=2930179327475689888309979195558841620446520287 (pp46)
 r2=5269561271030268835690782346468544997247579366619279931709924249093 (pp67)
Version: Msieve-1.40
Total time: 2.86 hours.
Scaled time: 2.67 units (timescale=0.932).
Factorization parameters were as follows:
n: 15440759501239414746052470786880310377793924823079230995536396814451703822625126232937210152415871427113265849691
m: 10000000000000000000000000
deg: 5
c5: 6800
c0: -23
skew: 0.32
type: snfs
lss: 1
rlim: 980000
alim: 980000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 980000/980000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [490000, 890001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 139843 x 140068
Total sieving time: 2.70 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,128.000,5,0,0,0,0,0,0,0,0,980000,980000,26,26,47,47,2.3,2.3,50000
total time: 2.86 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
3025e40--
351e6118 / 904Makoto KamadaDecember 14, 2009 15:00:00 UTC 2009 年 12 月 15 日 (火) 0 時 0 分 0 秒 (日本時間)

68×10131-239

c110

name 名前Dmitry Domanov
date 日付December 14, 2009 21:43:36 UTC 2009 年 12 月 15 日 (火) 6 時 43 分 36 秒 (日本時間)
composite number 合成数
51450779138031025275378865230083848138539241379756745451743759286339154927443801592785384612075213434574852411<110>
prime factors 素因数
107465839243862724082249298851749174717083735327064911<54>
478764037949569470056242460435709304889925309933652412501<57>
factorization results 素因数分解の結果
N=51450779138031025275378865230083848138539241379756745451743759286339154927443801592785384612075213434574852411
  ( 110 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=107465839243862724082249298851749174717083735327064911 (pp54)
 r2=478764037949569470056242460435709304889925309933652412501 (pp57)
Version: Msieve-1.40
Total time: 2.62 hours.
Scaled time: 4.82 units (timescale=1.839).
Factorization parameters were as follows:
n: 51450779138031025275378865230083848138539241379756745451743759286339154927443801592785384612075213434574852411
m: 100000000000000000000000000
deg: 5
c5: 680
c0: -23
skew: 0.51
type: snfs
lss: 1
rlim: 1150000
alim: 1150000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1150000/1150000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [575000, 1075001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 158594 x 158824
Total sieving time: 2.52 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,132.000,5,0,0,0,0,0,0,0,0,1150000,1150000,26,26,47,47,2.3,2.3,50000
total time: 2.62 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
3025e40--
351e6118 / 904Makoto KamadaDecember 14, 2009 15:00:00 UTC 2009 年 12 月 15 日 (火) 0 時 0 分 0 秒 (日本時間)

68×10132-239

c123

name 名前Dmitry Domanov
date 日付December 14, 2009 19:09:34 UTC 2009 年 12 月 15 日 (火) 4 時 9 分 34 秒 (日本時間)
composite number 合成数
346822154212722509605722778538195475035879413238053901483291920294207306311553273500401847353147649829138159828113214829951<123>
prime factors 素因数
3546780733597351884342375925933239181<37>
97785056439323570071160433088360953550212624698377101232129668524217662486037165530171<86>
factorization results 素因数分解の結果
N=346822154212722509605722778538195475035879413238053901483291920294207306311553273500401847353147649829138159828113214829951
  ( 123 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=3546780733597351884342375925933239181 (pp37)
 r2=97785056439323570071160433088360953550212624698377101232129668524217662486037165530171 (pp86)
Version: Msieve-1.40
Total time: 5.41 hours.
Scaled time: 5.04 units (timescale=0.933).
Factorization parameters were as follows:
n: 346822154212722509605722778538195475035879413238053901483291920294207306311553273500401847353147649829138159828113214829951
m: 100000000000000000000000000
deg: 5
c5: 6800
c0: -23
skew: 0.32
type: snfs
lss: 1
rlim: 1190000
alim: 1190000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1190000/1190000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [595000, 1345001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 151774 x 151999
Total sieving time: 5.26 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,133.000,5,0,0,0,0,0,0,0,0,1190000,1190000,26,26,47,47,2.3,2.3,75000
total time: 5.41 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
3025e40--
351e6118 / 904Makoto KamadaDecember 14, 2009 15:00:00 UTC 2009 年 12 月 15 日 (火) 0 時 0 分 0 秒 (日本時間)

68×10133-239

c108

name 名前Dmitry Domanov
date 日付December 14, 2009 21:19:34 UTC 2009 年 12 月 15 日 (火) 6 時 19 分 34 秒 (日本時間)
composite number 合成数
762833800841643829710558482948388661851497005201100350789886529905966617825111340108110622150732462163964207<108>
prime factors 素因数
47411469848704408241807854830975592670012824018181<50>
16089646730547195710003465003961823026277166216107972643747<59>
factorization results 素因数分解の結果
N=762833800841643829710558482948388661851497005201100350789886529905966617825111340108110622150732462163964207
  ( 108 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=47411469848704408241807854830975592670012824018181 (pp50)
 r2=16089646730547195710003465003961823026277166216107972643747 (pp59)
Version: Msieve-1.40
Total time: 4.88 hours.
Scaled time: 4.55 units (timescale=0.932).
Factorization parameters were as follows:
n: 762833800841643829710558482948388661851497005201100350789886529905966617825111340108110622150732462163964207
m: 200000000000000000000000000
deg: 5
c5: 2125
c0: -23
skew: 0.40
type: snfs
lss: 1
rlim: 1240000
alim: 1240000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1240000/1240000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [620000, 1295001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 167310 x 167535
Total sieving time: 4.71 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,134.000,5,0,0,0,0,0,0,0,0,1240000,1240000,26,26,47,47,2.3,2.3,75000
total time: 4.88 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
3025e40--
351e6118 / 904Makoto KamadaDecember 14, 2009 15:00:00 UTC 2009 年 12 月 15 日 (火) 0 時 0 分 0 秒 (日本時間)

68×10134-239

c86

name 名前Dmitry Domanov
date 日付December 14, 2009 18:04:50 UTC 2009 年 12 月 15 日 (火) 3 時 4 分 50 秒 (日本時間)
composite number 合成数
12114514826956601318952190098073537821701752211837444802265577948466686443108582911401<86>
prime factors 素因数
15879193363065865107998274559766137<35>
762917520428606904550569900796832771668642509188273<51>
factorization results 素因数分解の結果
12/14/09 21:48:57 v1.14 @ REPGMAIL, starting SIQS on c86: 12114514826956601318952190098073537821701752211837444802265577948466686443108582911401
12/14/09 21:48:57 v1.14 @ REPGMAIL, random seeds: 0, 3887612160
12/14/09 21:48:57 v1.14 @ REPGMAIL, ==== sieve params ====
12/14/09 21:48:57 v1.14 @ REPGMAIL, n = 86 digits, 283 bits
12/14/09 21:48:57 v1.14 @ REPGMAIL, factor base: 56327 primes (max prime = 1476803)
12/14/09 21:48:57 v1.14 @ REPGMAIL, single large prime cutoff: 162448330 (110 * pmax)
12/14/09 21:48:57 v1.14 @ REPGMAIL, double large prime range from 42 to 50 bits
12/14/09 21:48:57 v1.14 @ REPGMAIL, double large prime cutoff: 601571775592514
12/14/09 21:48:57 v1.14 @ REPGMAIL, allocating 12 large prime slices of factor base
12/14/09 21:48:57 v1.14 @ REPGMAIL, buckets hold 1024 elements
12/14/09 21:48:57 v1.14 @ REPGMAIL, sieve interval: 18 blocks of size 32768
12/14/09 21:48:57 v1.14 @ REPGMAIL, polynomial A has ~ 11 factors
12/14/09 21:48:57 v1.14 @ REPGMAIL, using multiplier of 1
12/14/09 21:48:57 v1.14 @ REPGMAIL, using small prime variation correction of 19 bits
12/14/09 21:48:57 v1.14 @ REPGMAIL, using SSE2 for trial division and x128 sieve scanning
12/14/09 21:48:57 v1.14 @ REPGMAIL, trial factoring cutoff at 94 bits
12/14/09 21:48:57 v1.14 @ REPGMAIL, ==== sieving started ( 8 threads) ====
12/14/09 21:55:25 v1.14 @ REPGMAIL, trial division touched 10682534 sieve locations out of 4744629190656
12/14/09 21:55:25 v1.14 @ REPGMAIL, 56750 relations found: 19827 full + 36923 from 490861 partial, using 4022072 polys (367 A polys)
12/14/09 21:55:25 v1.14 @ REPGMAIL, on average, sieving found 0.13 rels/poly and 1315.91 rels/sec
12/14/09 21:55:25 v1.14 @ REPGMAIL, trial division touched 10682534 sieve locations out of 4744629190656
12/14/09 21:55:25 v1.14 @ REPGMAIL, ==== post processing stage (msieve-1.38) ====
12/14/09 21:55:26 v1.14 @ REPGMAIL, begin with 510688 relations
12/14/09 21:55:26 v1.14 @ REPGMAIL, reduce to 112219 relations in 9 passes
12/14/09 21:55:33 v1.14 @ REPGMAIL, recovered 112219 relations
12/14/09 21:55:33 v1.14 @ REPGMAIL, recovered 82618 polynomials
12/14/09 21:55:36 v1.14 @ REPGMAIL, attempting to build 56750 cycles
12/14/09 21:55:36 v1.14 @ REPGMAIL, found 56750 cycles in 4 passes
12/14/09 21:55:36 v1.14 @ REPGMAIL, distribution of cycle lengths:
12/14/09 21:55:36 v1.14 @ REPGMAIL,    length 1 : 19827
12/14/09 21:55:36 v1.14 @ REPGMAIL,    length 2 : 16452
12/14/09 21:55:36 v1.14 @ REPGMAIL,    length 3 : 10389
12/14/09 21:55:36 v1.14 @ REPGMAIL,    length 4 : 5444
12/14/09 21:55:36 v1.14 @ REPGMAIL,    length 5 : 2627
12/14/09 21:55:36 v1.14 @ REPGMAIL,    length 6 : 1196
12/14/09 21:55:36 v1.14 @ REPGMAIL,    length 7 : 484
12/14/09 21:55:36 v1.14 @ REPGMAIL,    length 9+: 331
12/14/09 21:55:36 v1.14 @ REPGMAIL, largest cycle: 13 relations
12/14/09 21:55:36 v1.14 @ REPGMAIL, matrix is 56327 x 56750 (10.6 MB) with weight 2564365 (45.19/col)
12/14/09 21:55:36 v1.14 @ REPGMAIL, sparse part has weight 2564365 (45.19/col)
12/14/09 21:55:36 v1.14 @ REPGMAIL, filtering completed in 3 passes
12/14/09 21:55:36 v1.14 @ REPGMAIL, matrix is 48272 x 48334 (9.3 MB) with weight 2235142 (46.24/col)
12/14/09 21:55:36 v1.14 @ REPGMAIL, sparse part has weight 2235142 (46.24/col)
12/14/09 21:55:36 v1.14 @ REPGMAIL, saving the first 48 matrix rows for later
12/14/09 21:55:46 v1.14 @ REPGMAIL, matrix is 48224 x 48334 (7.6 MB) with weight 1897902 (39.27/col)
12/14/09 21:55:46 v1.14 @ REPGMAIL, sparse part has weight 1696057 (35.09/col)
12/14/09 21:55:46 v1.14 @ REPGMAIL, matrix includes 64 packed rows
12/14/09 21:55:46 v1.14 @ REPGMAIL, using block size 19333 for processor cache size 6144 kB
12/14/09 21:55:47 v1.14 @ REPGMAIL, commencing Lanczos iteration
12/14/09 21:55:47 v1.14 @ REPGMAIL, memory use: 7.0 MB
12/14/09 21:55:59 v1.14 @ REPGMAIL, lanczos halted after 764 iterations (dim = 48220)
12/14/09 21:55:59 v1.14 @ REPGMAIL, recovered 15 nontrivial dependencies
12/14/09 21:56:00 v1.14 @ REPGMAIL, prp35 = 15879193363065865107998274559766137
12/14/09 21:56:02 v1.14 @ REPGMAIL, prp51 = 762917520428606904550569900796832771668642509188273
12/14/09 21:56:02 v1.14 @ REPGMAIL, Lanczos elapsed time = 33.8740 seconds.
12/14/09 21:56:02 v1.14 @ REPGMAIL, Sqrt elapsed time = 3.1880 seconds.
12/14/09 21:56:02 v1.14 @ REPGMAIL, SIQS elapsed time = 425.1639 seconds.
software ソフトウェア
YAFU v1.14

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 14, 2009 15:00:00 UTC 2009 年 12 月 15 日 (火) 0 時 0 分 0 秒 (日本時間)

68×10135-239

c97

name 名前Serge Batalov
date 日付December 16, 2009 00:30:35 UTC 2009 年 12 月 16 日 (水) 9 時 30 分 35 秒 (日本時間)
composite number 合成数
1291767565468253325983099240866543604203429986670042714470360827476299445498122120010631513446987<97>
prime factors 素因数
49354536817403980992556188494349510678134521<44>
26173228415604033307918617128471408780767311182184547<53>
factorization results 素因数分解の結果
Divisors found:
 r1=49354536817403980992556188494349510678134521 (pp44)
 r2=26173228415604033307918617128471408780767311182184547 (pp53)
Version: Msieve v. 1.44 SVN157
Total time: 1.38 hours.
Scaled time: 3.31 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  1291767565468253325983099240866543604203429986670042714470360827476299445498122120010631513446987
skew:  1028695.48
Y0:  -173066555608276491936265
Y1:   6118599925867
c0:  -178362389484675470839201668
c1:  -1431652149419258675948
c2:  -1867644117274291
c3:  -2880742358
c4:   1440
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [937500, 1217501)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 151064 x 151296
Total sieving time: 1.28 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,96,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,25,25,46,46,2.5,2.5,70000
total time: 1.38 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 14, 2009 15:00:00 UTC 2009 年 12 月 15 日 (火) 0 時 0 分 0 秒 (日本時間)

68×10138-239

c117

name 名前Dmitry Domanov
date 日付December 14, 2009 22:54:47 UTC 2009 年 12 月 15 日 (火) 7 時 54 分 47 秒 (日本時間)
composite number 合成数
711171139881550079123670628242749562640990066684770750496910658551665628899866129078044125043581325269317051798151169<117>
prime factors 素因数
105491386872953299968777534235333470421<39>
6741509055502669216548343696385596867253895536109530691752085630089326932209789<79>
factorization results 素因数分解の結果
N=711171139881550079123670628242749562640990066684770750496910658551665628899866129078044125043581325269317051798151169
  ( 117 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=105491386872953299968777534235333470421 (pp39)
 r2=6741509055502669216548343696385596867253895536109530691752085630089326932209789 (pp79)
Version: Msieve-1.40
Total time: 6.88 hours.
Scaled time: 6.42 units (timescale=0.933).
Factorization parameters were as follows:
n: 711171139881550079123670628242749562640990066684770750496910658551665628899866129078044125043581325269317051798151169
m: 2000000000000000000000000000
deg: 5
c5: 2125
c0: -23
skew: 0.40
type: snfs
lss: 1
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [750000, 1650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 228654 x 228880
Total sieving time: 6.57 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,139.000,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,48,48,2.3,2.3,75000
total time: 6.88 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
3025e40--
351e6118 / 904Makoto KamadaDecember 14, 2009 15:00:00 UTC 2009 年 12 月 15 日 (火) 0 時 0 分 0 秒 (日本時間)

68×10139-239

c140

name 名前Dmitry Domanov
date 日付December 14, 2009 22:59:50 UTC 2009 年 12 月 15 日 (火) 7 時 59 分 50 秒 (日本時間)
composite number 合成数
75555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553<140>
prime factors 素因数
164718007347958713783029320020009041<36>
458696391317727327867207967595193328572030528906800158169735169192289759788564814046706350284250216889233<105>
factorization results 素因数分解の結果
N=75555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553
  ( 140 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=164718007347958713783029320020009041 (pp36)
 r2=458696391317727327867207967595193328572030528906800158169735169192289759788564814046706350284250216889233 (pp105)
Version: Msieve-1.40
Total time: 6.80 hours.
Scaled time: 13.07 units (timescale=1.922).
Factorization parameters were as follows:
n: 75555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553
m: 2000000000000000000000000000
deg: 5
c5: 21250
c0: -23
skew: 0.26
type: snfs
lss: 1
rlim: 1560000
alim: 1560000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1560000/1560000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [780000, 2080001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 245317 x 245544
Total sieving time: 6.67 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,140.000,5,0,0,0,0,0,0,0,0,1560000,1560000,26,26,48,48,2.3,2.3,100000
total time: 6.80 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
3025e40--
351e6118 / 904Makoto KamadaDecember 14, 2009 15:00:00 UTC 2009 年 12 月 15 日 (火) 0 時 0 分 0 秒 (日本時間)

68×10140-239

c104

name 名前Sinkiti Sibata
date 日付December 15, 2009 05:42:40 UTC 2009 年 12 月 15 日 (火) 14 時 42 分 40 秒 (日本時間)
composite number 合成数
32985715880087302264179078807117361590859919830808006197563651961591828459277939695772641530229024504763<104>
prime factors 素因数
33766940649557270429843570725392477009158467<44>
976864212320039983752591722330942844497734391931800612763689<60>
factorization results 素因数分解の結果
Number: 75553_140
N=32985715880087302264179078807117361590859919830808006197563651961591828459277939695772641530229024504763
  ( 104 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=33766940649557270429843570725392477009158467 (pp44)
 r2=976864212320039983752591722330942844497734391931800612763689 (pp60)
Version: Msieve v. 1.42
Total time: 0.36 hours.
Scaled time: 0.28 units (timescale=0.796).
Factorization parameters were as follows:
name: 75553_140
n: 32985715880087302264179078807117361590859919830808006197563651961591828459277939695772641530229024504763
m: 10000000000000000000000000000
deg: 5
c5: 68
c0: -23
skew: 0.81
type: snfs
lss: 1
rlim: 1620000
alim: 1620000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1620000/1620000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [810000, 1710001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 274332 x 274557
Total sieving time: 0.00 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1620000,1620000,26,26,48,48,2.3,2.3,100000
total time: 0.36 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.33 BogoMIPS (lpj=1860666)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860571)
Total of 2 processors activated (7442.47 BogoMIPS).

Total time: 5.5 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 14, 2009 15:00:00 UTC 2009 年 12 月 15 日 (火) 0 時 0 分 0 秒 (日本時間)

68×10142-239

c101

name 名前Dmitry Domanov
date 日付December 15, 2009 06:37:23 UTC 2009 年 12 月 15 日 (火) 15 時 37 分 23 秒 (日本時間)
composite number 合成数
54453536926099656419822835317968628649294196449567335387500606200426331378061740221365333895391575211<101>
prime factors 素因数
2959672947226504162711354061714811058096170521161<49>
18398498042538049399399151846094729471619424141236051<53>
factorization results 素因数分解の結果
N=54453536926099656419822835317968628649294196449567335387500606200426331378061740221365333895391575211
  ( 101 digits)
Divisors found:
 r1=2959672947226504162711354061714811058096170521161 (pp49)
 r2=18398498042538049399399151846094729471619424141236051 (pp53)
Version: Msieve-1.40
Total time: 3.76 hours.
Scaled time: 7.23 units (timescale=1.922).
Factorization parameters were as follows:
name: g1
n: 54453536926099656419822835317968628649294196449567335387500606200426331378061740221365333895391575211
skew: 2931.88
# norm 5.35e+013
c5: 409200
c4: 8901108
c3: -4950728848596
c2: 6043929165090551
c1: 23397151429743759722
c0: -69366011719193748738633
# alpha -6.24
Y1: 38386560253
Y0: -10588101280949284690
# Murphy_E 3.19e-009
# M 37728834848942648417473990291487294399973387734390897856397569738356643094034402185983653030400545834
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 237990 x 238238
Polynomial selection time: 0.43 hours.
Total sieving time: 3.07 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 3.76 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
3025e40--
351e6118 / 904Makoto KamadaDecember 14, 2009 15:00:00 UTC 2009 年 12 月 15 日 (火) 0 時 0 分 0 秒 (日本時間)

68×10146-239

c104

name 名前Markus Tervooren
date 日付December 14, 2009 23:46:56 UTC 2009 年 12 月 15 日 (火) 8 時 46 分 56 秒 (日本時間)
composite number 合成数
10107559043828937379276335371485044058026332435592691651189531844989398451885459044203421416422789725203<104>
prime factors 素因数
222262927902466959012561494161438438028846547583<48>
45475685662992432516577150080876318212189203602993452141<56>
factorization results 素因数分解の結果
prp48 factor: 222262927902466959012561494161438438028846547583
prp56 factor: 45475685662992432516577150080876318212189203602993452141

done by gnfs in about 12 CPU-hours (parameters were non-optimal).

poly:

Y0: -77566047231907110907
Y1: 31039371907
c0: -558398743597374860738736
c1: 137065067169670849580
c2: 59521037394430008
c3: -264552505753
c4: -300678770
c5: 3600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 14, 2009 15:00:00 UTC 2009 年 12 月 15 日 (火) 0 時 0 分 0 秒 (日本時間)

68×10147-239

c118

name 名前Sinkiti Sibata
date 日付December 15, 2009 23:17:39 UTC 2009 年 12 月 16 日 (水) 8 時 17 分 39 秒 (日本時間)
composite number 合成数
3808314070713642463132865247438710710836951689144171374141341852389397914903274595705945055940917351089773374687069363<118>
prime factors 素因数
7444412125212146417878210412001724747661<40>
511566797573705714139540064583403760560721746535899396273870560730050344203583<78>
factorization results 素因数分解の結果
Number: 75553_147
N=3808314070713642463132865247438710710836951689144171374141341852389397914903274595705945055940917351089773374687069363
  ( 118 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=7444412125212146417878210412001724747661 (pp40)
 r2=511566797573705714139540064583403760560721746535899396273870560730050344203583 (pp78)
Version: Msieve v. 1.42
Total time: 0.58 hours.
Scaled time: 0.46 units (timescale=0.796).
Factorization parameters were as follows:
name: 75553_147
n: 3808314070713642463132865247438710710836951689144171374141341852389397914903274595705945055940917351089773374687069363
m: 100000000000000000000000000000
deg: 5
c5: 6800
c0: -23
skew: 0.32
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 362627 x 362851
Total sieving time: 0.00 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.38 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,148.000,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 0.58 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.33 BogoMIPS (lpj=1860666)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860571)
Total of 2 processors activated (7442.47 BogoMIPS).

Total time: 9 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 14, 2009 15:00:00 UTC 2009 年 12 月 15 日 (火) 0 時 0 分 0 秒 (日本時間)

68×10148-239

c134

name 名前Sinkiti Sibata
date 日付December 15, 2009 23:40:51 UTC 2009 年 12 月 16 日 (水) 8 時 40 分 51 秒 (日本時間)
composite number 合成数
39896506848092604746137269695445224030913290669912862255101837235764336396056343724509946701322150758800725954828675926061567732101177<134>
prime factors 素因数
33379177452900859040901458273531293497645001<44>
1195251348071351262939369843658738348823063310087712346521340434884593591391504262928936177<91>
factorization results 素因数分解の結果
Number: 75553_148
N=39896506848092604746137269695445224030913290669912862255101837235764336396056343724509946701322150758800725954828675926061567732101177
  ( 134 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=33379177452900859040901458273531293497645001 (pp44)
 r2=1195251348071351262939369843658738348823063310087712346521340434884593591391504262928936177 (pp91)
Version: Msieve-1.40
Total time: 11.69 hours.
Scaled time: 38.84 units (timescale=3.322).
Factorization parameters were as follows:
name: 75553_148
n: 39896506848092604746137269695445224030913290669912862255101837235764336396056343724509946701322150758800725954828675926061567732101177
m: 200000000000000000000000000000
deg: 5
c5: 2125
c0: -23
skew: 0.40
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 2900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 388346 x 388594
Total sieving time: 11.35 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,149.000,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 11.69 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,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 KamadaDecember 14, 2009 15:00:00 UTC 2009 年 12 月 15 日 (火) 0 時 0 分 0 秒 (日本時間)

68×10149-239

c141

name 名前Sinkiti Sibata
date 日付December 17, 2009 05:15:19 UTC 2009 年 12 月 17 日 (木) 14 時 15 分 19 秒 (日本時間)
composite number 合成数
298746815553296382052316567908906005368897905967537402451862449042826513609541950162254094199336945246739671451464771736035835617887685054723<141>
prime factors 素因数
17113117275140880783030116386021552160919406381244764651037<59>
17457182741759537230668434734479558816443041150505523061434504635431445561687384479<83>
factorization results 素因数分解の結果
Number: 75553_149
N=298746815553296382052316567908906005368897905967537402451862449042826513609541950162254094199336945246739671451464771736035835617887685054723
  ( 141 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=17113117275140880783030116386021552160919406381244764651037 (pp59)
 r2=17457182741759537230668434734479558816443041150505523061434504635431445561687384479 (pp83)
Version: Msieve-1.40
Total time: 22.23 hours.
Scaled time: 45.60 units (timescale=2.051).
Factorization parameters were as follows:
name: 75553_149
n: 298746815553296382052316567908906005368897905967537402451862449042826513609541950162254094199336945246739671451464771736035835617887685054723
m: 200000000000000000000000000000
deg: 5
c5: 21250
c0: -23
skew: 0.26
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 2050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 463542 x 463790
Total sieving time: 20.70 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.75 hours.
Time per square root: 0.66 hours.
Prototype def-par.txt line would be:
snfs,150.000,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 22.23 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 14, 2009 15:00:00 UTC 2009 年 12 月 15 日 (火) 0 時 0 分 0 秒 (日本時間)

68×10150-239

c149

name 名前Sinkiti Sibata
date 日付December 17, 2009 05:22:28 UTC 2009 年 12 月 17 日 (木) 14 時 22 分 28 秒 (日本時間)
composite number 合成数
13420169725675942372212354450365107558713242549832247878429050720347345569370436155516084468127096901519636865995658180382869548056048944148411288731<149>
prime factors 素因数
14954759575038077017989758004101<32>
61061284304473599603372195208904250303373<41>
14696456667525975952009223329233872114376566246538367924642568716200666134747<77>
factorization results 素因数分解の結果
Number: 75553_150
N=13420169725675942372212354450365107558713242549832247878429050720347345569370436155516084468127096901519636865995658180382869548056048944148411288731
  ( 149 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=14954759575038077017989758004101 (pp32)
 r2=61061284304473599603372195208904250303373 (pp41)
 r3=14696456667525975952009223329233872114376566246538367924642568716200666134747 (pp77)
Version: Msieve v. 1.42
Total time: 0.63 hours.
Scaled time: 0.50 units (timescale=0.796).
Factorization parameters were as follows:
name: 75553_150
n: 13420169725675942372212354450365107558713242549832247878429050720347345569370436155516084468127096901519636865995658180382869548056048944148411288731
m: 1000000000000000000000000000000
deg: 5
c5: 68
c0: -23
skew: 0.81
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 2000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 398069 x 398296
Total sieving time: 0.00 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.45 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 0.63 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.33 BogoMIPS (lpj=1860666)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860571)
Total of 2 processors activated (7442.47 BogoMIPS).

Total time: 14 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 14, 2009 15:00:00 UTC 2009 年 12 月 15 日 (火) 0 時 0 分 0 秒 (日本時間)

68×10152-239

c148

name 名前Sinkiti Sibata
date 日付January 4, 2010 10:47:02 UTC 2010 年 1 月 4 日 (月) 19 時 47 分 2 秒 (日本時間)
composite number 合成数
7778246760303031342902864568141445129616475241726175973682073314551155126836895884735533890850608476230021058459243702765738653196573453530122976369<148>
prime factors 素因数
2630312139336324536954345711281126727<37>
4255107081445950705250868646957945484715860129187<49>
694966601204488519853928402657283632496136211329333403979205581<63>
factorization results 素因数分解の結果
Number: 75553_152
N=7778246760303031342902864568141445129616475241726175973682073314551155126836895884735533890850608476230021058459243702765738653196573453530122976369
  ( 148 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=2630312139336324536954345711281126727 (pp37)
 r2=4255107081445950705250868646957945484715860129187 (pp49)
 r3=694966601204488519853928402657283632496136211329333403979205581 (pp63)
Version: Msieve v. 1.42
Total time: 0.70 hours.
Scaled time: 0.72 units (timescale=1.023).
Factorization parameters were as follows:
name: 75553_152
n: 7778246760303031342902864568141445129616475241726175973682073314551155126836895884735533890850608476230021058459243702765738653196573453530122976369
m: 1000000000000000000000000000000
deg: 5
c5: 6800
c0: -23
skew: 0.32
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 477440 x 477664
Total sieving time: 0.00 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.51 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 0.70 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 3057976k/3145344k available (3786k kernel code, 496k absent, 86872k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4788.09 BogoMIPS (lpj=2394045)
Calibrating delay using timer specific routine.. 4837.71 BogoMIPS (lpj=2418857)
Calibrating delay using timer specific routine.. 4787.77 BogoMIPS (lpj=2393888)
Calibrating delay using timer specific routine.. 4787.78 BogoMIPS (lpj=2393890)
Total of 4 processors activated (19201.36 BogoMIPS).

Total time: 10 hours 51 min.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)

68×10158-239

c126

name 名前Serge Batalov
date 日付January 3, 2010 18:40:00 UTC 2010 年 1 月 4 日 (月) 3 時 40 分 0 秒 (日本時間)
composite number 合成数
765998026636067426993585062869845254575479417406714462946118236093759544061284633792431883488690842254759391073121238041646527<126>
prime factors 素因数
597075381470583305407179776607623<33>
composite cofactor 合成数の残り
1282916781377640166762385621869297004208265423947814584670422167435999014658603664910481751049<94>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1003479497
Step 1 took 5760ms
Step 2 took 3377ms
********** Factor found in step 2: 597075381470583305407179776607623
Found probable prime factor of 33 digits: 597075381470583305407179776607623
Composite cofactor has 94 digits

c94

name 名前Robert Backstrom
date 日付January 4, 2010 15:53:07 UTC 2010 年 1 月 5 日 (火) 0 時 53 分 7 秒 (日本時間)
composite number 合成数
1282916781377640166762385621869297004208265423947814584670422167435999014658603664910481751049<94>
prime factors 素因数
2874261876934015082882437183<28>
446346518274156653950713964805401210073674458303364742696359256503<66>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 1282916781377640166762385621869297004208265423947814584670422167435999014658603664910481751049 (94 digits)
Using B1=568000, B2=522330282, polynomial Dickson(3), sigma=2653429740
Step 1 took 3469ms
Step 2 took 1968ms
********** Factor found in step 2: 2874261876934015082882437183
Found probable prime factor of 28 digits: 2874261876934015082882437183
Probable prime cofactor 446346518274156653950713964805401210073674458303364742696359256503 has 66 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)

68×10159-239

c124

name 名前Sinkiti Sibata
date 日付January 5, 2010 08:36:41 UTC 2010 年 1 月 5 日 (火) 17 時 36 分 41 秒 (日本時間)
composite number 合成数
1787728368842385727960057115481679991913768011351388062202636217224426137785219273354258864685837007648990203005484674097641<124>
prime factors 素因数
166892592945596854245061430154109248030849382342993<51>
10711849683018251430549057175990157324011231303738524372565459373319213337<74>
factorization results 素因数分解の結果
Number: 75553_159
N=1787728368842385727960057115481679991913768011351388062202636217224426137785219273354258864685837007648990203005484674097641
  ( 124 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=166892592945596854245061430154109248030849382342993 (pp51)
 r2=10711849683018251430549057175990157324011231303738524372565459373319213337 (pp74)
Version: Msieve-1.40
Total time: 31.76 hours.
Scaled time: 106.05 units (timescale=3.339).
Factorization parameters were as follows:
name: 75553_159
n: 1787728368842385727960057115481679991913768011351388062202636217224426137785219273354258864685837007648990203005484674097641
m: 20000000000000000000000000000000
deg: 5
c5: 21250
c0: -23
skew: 0.26
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 3500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 645565 x 645813
Total sieving time: 30.84 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.78 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,160.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 31.76 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,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 KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)

68×10160-239

c148

name 名前Sinkiti Sibata
date 日付January 5, 2010 07:22:52 UTC 2010 年 1 月 5 日 (火) 16 時 22 分 52 秒 (日本時間)
composite number 合成数
1029126655898278429498322348925722904601313828947773026917102666699906894955994045816648947368963663574290835125669649998144230026897351002887668143<148>
prime factors 素因数
1273342611171657500688529240836510792572399<43>
808208762409462266325229191850862280734976356343245180923276687924961470379449034576812025589160927598657<105>
factorization results 素因数分解の結果
Number: 75553_160
N=1029126655898278429498322348925722904601313828947773026917102666699906894955994045816648947368963663574290835125669649998144230026897351002887668143
  ( 148 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=1273342611171657500688529240836510792572399 (pp43)
 r2=808208762409462266325229191850862280734976356343245180923276687924961470379449034576812025589160927598657 (pp105)
Version: Msieve v. 1.42
Total time: 2.00 hours.
Scaled time: 1.70 units (timescale=0.853).
Factorization parameters were as follows:
name: 75553_160
n: 1029126655898278429498322348925722904601313828947773026917102666699906894955994045816648947368963663574290835125669649998144230026897351002887668143
m: 100000000000000000000000000000000
deg: 5
c5: 68
c0: -23
skew: 0.81
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 3250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 733379 x 733606
Total sieving time: 0.00 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.83 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 2.00 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.16 BogoMIPS (lpj=2913583)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11653.70 BogoMIPS).

Total time: 17 hours 24 min.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)

68×10165-239

c154

name 名前Dmitry Domanov
date 日付January 6, 2010 21:28:19 UTC 2010 年 1 月 7 日 (木) 6 時 28 分 19 秒 (日本時間)
composite number 合成数
1877988201910264054018678257051556768176120951442088479262238950528245378550153725913432407306205235589316204424487547656577419079817274720090295920054579<154>
prime factors 素因数
906133801973863673468566886456588366411<39>
8513469989823072849007676015176110552020657<43>
243441109499939027392431736813296959720138009852804749731490188251805577<72>
factorization results 素因数分解の結果
N=1877988201910264054018678257051556768176120951442088479262238950528245378550153725913432407306205235589316204424487547656577419079817274720090295920054579
  ( 154 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=906133801973863673468566886456588366411 (pp39)
 r2=8513469989823072849007676015176110552020657 (pp43)
 r3=243441109499939027392431736813296959720138009852804749731490188251805577 (pp72)
Version: Msieve-1.40
Total time: 39.70 hours.
Scaled time: 73.45 units (timescale=1.850).
Factorization parameters were as follows:
n: 1877988201910264054018678257051556768176120951442088479262238950528245378550153725913432407306205235589316204424487547656577419079817274720090295920054579
m: 1000000000000000000000000000000000
deg: 5
c5: 68
c0: -23
skew: 0.81
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 759276 x 759504
Total sieving time: 38.65 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.75 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,166.000,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 39.70 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
3025e40--
351e6118 / 904Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)

68×10168-239

c129

name 名前Sinkiti Sibata
date 日付January 25, 2010 05:16:30 UTC 2010 年 1 月 25 日 (月) 14 時 16 分 30 秒 (日本時間)
composite number 合成数
154478521441058366112662555021386088323901507684308716749943563766955615905924893404557175440224905395098164678518965765422275977<129>
prime factors 素因数
10514943429395222046771324060893204981644973861<47>
14691331672712894434648373504493960627482619073865542542587344664394947336916631957<83>
factorization results 素因数分解の結果
Number: 75553_168
N=154478521441058366112662555021386088323901507684308716749943563766955615905924893404557175440224905395098164678518965765422275977
  ( 129 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=10514943429395222046771324060893204981644973861 (pp47)
 r2=14691331672712894434648373504493960627482619073865542542587344664394947336916631957 (pp83)
Version: Msieve-1.40
Total time: 60.84 hours.
Scaled time: 197.97 units (timescale=3.254).
Factorization parameters were as follows:
name: 75553_168
n: 154478521441058366112662555021386088323901507684308716749943563766955615905924893404557175440224905395098164678518965765422275977
m: 2000000000000000000000000000000000
deg: 5
c5: 2125
c0: -23
skew: 0.40
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2350000, 5350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 960469 x 960717
Total sieving time: 58.49 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.83 hours.
Time per square root: 0.42 hours.
Prototype def-par.txt line would be:
snfs,169.000,5,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.4,2.4,100000
total time: 60.84 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,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 KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)

68×10170-239

c157

name 名前Wataru Sakai
date 日付January 17, 2010 05:03:15 UTC 2010 年 1 月 17 日 (日) 14 時 3 分 15 秒 (日本時間)
composite number 合成数
9728233604128192763294721776638110041562382607522079109307539050579544898859388644489768695357850629499930978538881704025189274620463176832742788034561163073<157>
prime factors 素因数
9396197781528470810291290788950086066499<40>
composite cofactor 合成数の残り
1035337253463571729177511713132355866893721344346140930356000875068322262038478011499583998462077625466683400117232427<118>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1229447379
Step 1 took 52138ms
Step 2 took 17264ms
********** Factor found in step 2: 9396197781528470810291290788950086066499
Found probable prime factor of 40 digits: 9396197781528470810291290788950086066499
Composite cofactor 1035337253463571729177511713132355866893721344346140930356000875068322262038478011499583998462077625466683400117232427 has 118 digits
software ソフトウェア
GMP-ECM 6.2.1

c118

name 名前Sinkiti Sibata
date 日付January 20, 2010 09:36:07 UTC 2010 年 1 月 20 日 (水) 18 時 36 分 7 秒 (日本時間)
composite number 合成数
1035337253463571729177511713132355866893721344346140930356000875068322262038478011499583998462077625466683400117232427<118>
prime factors 素因数
4361191125704538366471338640207373628209<40>
237397817160860121412619310443302098713581904000491220990182401712892692434203<78>
factorization results 素因数分解の結果
Number: 75553_170
N=1035337253463571729177511713132355866893721344346140930356000875068322262038478011499583998462077625466683400117232427
  ( 118 digits)
Divisors found:
 r1=4361191125704538366471338640207373628209 (pp40)
 r2=237397817160860121412619310443302098713581904000491220990182401712892692434203 (pp78)
Version: Msieve-1.40
Total time: 32.88 hours.
Scaled time: 104.08 units (timescale=3.165).
Factorization parameters were as follows:
name: 75553_170
n: 1035337253463571729177511713132355866893721344346140930356000875068322262038478011499583998462077625466683400117232427
skew: 24946.61
# norm 1.67e+15
c5: 41280
c4: -1697705752
c3: -122375719772622
c2: 823279148535729955
c1: 24847264565778537282458
c0: 24351111250233087506023937
# alpha -4.43
Y1: 1603982644627
Y0: -30190382839396727591442
# Murphy_E 4.24e-10
# M 391826636789768140254537631994012091642379740801127172535741474305923844400497101726876885877067562331252906606970508
type: gnfs
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1900000, 3300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 617845 x 618092
Polynomial selection time: 4.02 hours.
Total sieving time: 27.92 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.75 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3800000,3800000,27,27,53,53,2.5,2.5,100000
total time: 32.88 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,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 KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)

68×10172-239

c148

name 名前Wataru Sakai
date 日付August 8, 2010 05:58:49 UTC 2010 年 8 月 8 日 (日) 14 時 58 分 49 秒 (日本時間)
composite number 合成数
1900588379334866853976091325080053554200858578433771592003279454478513542874036386447254005091786132849501232864467318975672199901123601499827109133<148>
prime factors 素因数
183458014747150098018233117600864020319661803123<48>
10359800207989502781423451381385394989798401213093609458767150877507728987301217609259136234850143871<101>
factorization results 素因数分解の結果
Number: 75553_172
N=1900588379334866853976091325080053554200858578433771592003279454478513542874036386447254005091786132849501232864467318975672199901123601499827109133
  ( 148 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=183458014747150098018233117600864020319661803123
 r2=10359800207989502781423451381385394989798401213093609458767150877507728987301217609259136234850143871
Version: 
Total time: 113.83 hours.
Scaled time: 229.26 units (timescale=2.014).
Factorization parameters were as follows:
n: 1900588379334866853976091325080053554200858578433771592003279454478513542874036386447254005091786132849501232864467318975672199901123601499827109133
m: 10000000000000000000000000000000000
deg: 5
c5: 6800
c0: -23
skew: 0.32
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2750000, 6350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1022545 x 1022793
Total sieving time: 113.83 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 113.83 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJanuary 21, 2010 13:21:12 UTC 2010 年 1 月 21 日 (木) 22 時 21 分 12 秒 (日本時間)

68×10173-239

c160

name 名前Ignacio Santos
date 日付March 19, 2010 15:51:24 UTC 2010 年 3 月 20 日 (土) 0 時 51 分 24 秒 (日本時間)
composite number 合成数
2018610021703213346802457447397923133962459785659792581196339560578156008731546742896690927873302043788452809580596497905766693182748114173286566600796054951203<160>
prime factors 素因数
71884721669103963085020752316086712492929246305137254053475826678205049603<74>
28081210789062726133620865949744873257699574421951409903526328170098878630710086927201<86>
factorization results 素因数分解の結果
Number: 3
N=2018610021703213346802457447397923133962459785659792581196339560578156008731546742896690927873302043788452809580596497905766693182748114173286566600796054951203
  ( 160 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=71884721669103963085020752316086712492929246305137254053475826678205049603 (pp74)
 r2=28081210789062726133620865949744873257699574421951409903526328170098878630710086927201 (pp86)
Version: Msieve-1.40
Total time: 84.47 hours.
Scaled time: 146.56 units (timescale=1.735).
Factorization parameters were as follows:
n: 2018610021703213346802457447397923133962459785659792581196339560578156008731546742896690927873302043788452809580596497905766693182748114173286566600796054951203
m: 20000000000000000000000000000000000
deg: 5
c5: 2125
c0: -23
skew: 0.40
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2850000, 7250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1120124 x 1120349
Total sieving time: 81.94 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.75 hours.
Time per square root: 0.66 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 84.47 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
351e6118Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiMarch 3, 2010 04:54:08 UTC 2010 年 3 月 3 日 (水) 13 時 54 分 8 秒 (日本時間)

68×10174-239

c160

name 名前Ignacio Santos
date 日付June 19, 2010 16:25:46 UTC 2010 年 6 月 20 日 (日) 1 時 25 分 46 秒 (日本時間)
composite number 合成数
7479452100042098715871380508316492269005770091141443462269890435911949553172099104567529383896458881570885543640655678902230327497186024519750230311038847082143<160>
prime factors 素因数
120324311362283640435310280735187180936787<42>
7329137867640722931526501109722486016703966819409003<52>
8481321166352792148847317064929033697543191779825125960330676496463<67>
factorization results 素因数分解の結果
Number: 10
N=7479452100042098715871380508316492269005770091141443462269890435911949553172099104567529383896458881570885543640655678902230327497186024519750230311038847082143
  ( 160 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=120324311362283640435310280735187180936787 (pp42)
 r2=7329137867640722931526501109722486016703966819409003 (pp52)
 r3=8481321166352792148847317064929033697543191779825125960330676496463 (pp67)
Version: Msieve-1.40
Total time: 107.43 hours.
Scaled time: 186.81 units (timescale=1.739).
Factorization parameters were as follows:
n: 7479452100042098715871380508316492269005770091141443462269890435911949553172099104567529383896458881570885543640655678902230327497186024519750230311038847082143
m: 20000000000000000000000000000000000
deg: 5
c5: 21250
c0: -23
skew: 0.26
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [3000000, 8500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1316829 x 1317054
Total sieving time: 103.98 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 2.38 hours.
Time per square root: 0.90 hours.
Prototype def-par.txt line would be:
snfs,175.000,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,52,52,2.5,2.5,100000
total time: 107.43 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
351e6418118Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 10, 2010 21:33:41 UTC 2010 年 6 月 11 日 (金) 6 時 33 分 41 秒 (日本時間)
403e6110 / 2126Ignacio SantosJune 10, 2010 21:33:41 UTC 2010 年 6 月 11 日 (金) 6 時 33 分 41 秒 (日本時間)
4511e632 / 4437Ignacio SantosJune 10, 2010 21:33:41 UTC 2010 年 6 月 11 日 (金) 6 時 33 分 41 秒 (日本時間)

68×10175-239

c175

name 名前Dmitry Domanov
date 日付January 3, 2010 22:28:36 UTC 2010 年 1 月 4 日 (月) 7 時 28 分 36 秒 (日本時間)
composite number 合成数
1127694859038142620232172470978441127694859038142620232172470978441127694859038142620232172470978441127694859038142620232172470978441127694859038142620232172470978441127694859<175>
prime factors 素因数
296603416032176701234257468924886867<36>
3802029235279629623162086008369447762892066242875966467104153345480323354187633922315482821995039753485706549569133481506254757632313238377<139>
factorization results 素因数分解の結果
Factor=296603416032176701234257468924886867  Method=ECM  B1=11000000  Sigma=3966967513
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
3025e40--
351e6118 / 904Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)

68×10176-239

c105

name 名前Jeff Gilchrist
date 日付January 5, 2010 15:01:54 UTC 2010 年 1 月 6 日 (水) 0 時 1 分 54 秒 (日本時間)
composite number 合成数
181614118878692961912160341691737938586708339591728966451606728174240090168286140258733924489965672069419<105>
prime factors 素因数
638125508426766058342186478924993666899419943<45>
284605640239087472186381557018034774105641790871512332119133<60>
factorization results 素因数分解の結果
Number: 75553_176
N = 181614118878692961912160341691737938586708339591728966451606728174240090168286140258733924489965672069419 (105 digits)
Divisors found:
r1=638125508426766058342186478924993666899419943 (pp45)
r2=284605640239087472186381557018034774105641790871512332119133 (pp60)
Version: Msieve v. 1.43
Total time: 7.85 hours.
Factorization parameters were as follows:
name: 75553_176
n: 181614118878692961912160341691737938586708339591728966451606728174240090168286140258733924489965672069419
skew: 5637.02
# norm 7.51e+13
c5: 103680
c4: 1484903244
c3: -10135525439257
c2: -44814768319171274
c1: 146533215989679456476
c0: 140615427432611055437331
# alpha -5.2
Y1: 85692205049
Y0: -70581261070600386500
# Murphy_E 2.08e-09
# M 170415365909664369899805884044808982928109387033352686297929932141140674614272335536817028177647259225345
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [1250000, 2149999)
Relations: 546964 relations
Max relations in full relation-set: 0
Pruned matrix : 305601 x 305826
Polynomial selection time: 0.87 hours.
Total sieving time: 6.60 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.17 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: gnfs,104,5,59,2000,0.0006,0.25,200,15,15000,2000,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 7.85 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
factmsieve.py + ggnfs + msieve 1.43
execution environment 実行環境
Core2 Duo @ 2.4GHz Windows Vista

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)

68×10177-239

c135

name 名前Ignacio Santos
date 日付November 23, 2010 12:02:15 UTC 2010 年 11 月 23 日 (火) 21 時 2 分 15 秒 (日本時間)
composite number 合成数
196363587301756630063102393879149977520578861695222592802772252422006657768502574892102444656103619960045145598715683546333832822544797<135>
prime factors 素因数
45248064684149572090167925738043<32>
composite cofactor 合成数の残り
4339712398142476325164558549013480766383370364416588677648715166659346124541623948275413829971941135879<103>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1480024698
Step 1 took 5553ms
Step 2 took 4524ms
********** Factor found in step 2: 45248064684149572090167925738043
Found probable prime factor of 32 digits: 45248064684149572090167925738043
Composite cofactor 4339712398142476325164558549013480766383370364416588677648715166659346124541623948275413829971941135879 has 103 digits
software ソフトウェア
GMP-ECM 6.3

c103

name 名前Erik Branger
date 日付November 23, 2010 17:38:58 UTC 2010 年 11 月 24 日 (水) 2 時 38 分 58 秒 (日本時間)
composite number 合成数
4339712398142476325164558549013480766383370364416588677648715166659346124541623948275413829971941135879<103>
prime factors 素因数
9933564632398792192872343422252531307<37>
436873625806822508417838640635362719339623541664454491685320701397<66>
factorization results 素因数分解の結果
Number: 75553_177
N = 4339712398142476325164558549013480766383370364416588677648715166659346124541623948275413829971941135879 (103 digits)
Divisors found:
r1=9933564632398792192872343422252531307 (pp37)
r2=436873625806822508417838640635362719339623541664454491685320701397 (pp66)
Version: Msieve v. 1.47
Total time: 5.24 hours.
Factorization parameters were as follows:
# Murphy_E = 2.473e-09, selected by Erik Branger
n: 4339712398142476325164558549013480766383370364416588677648715166659346124541623948275413829971941135879
Y0: -90370816698009101833
Y1: 24821939999
c0: -264428948067867466464053760
c1: -12000805489582174048146
c2: 206009915088727793
c3: 4597572970330
c4: -75950064
c5: 720
skew: 56952.79
type: gnfs
# selected mechanically
rlim: 1780000
alim: 1780000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.4
alambda: 2.4
Factor base limits: 1780000/1780000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [890000, 1590000)
Relations: 4078476
Relations in full relation-set: 376248 relations
Pruned matrix : 219522 x 219750
Polynomial selection time: 0.00 hours.
Total sieving time: 5.03 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.05 hours.
time per square root: 0.13 hours.
Prototype def-par.txt line would be: gnfs,102,5,59,2000,0.0009,0.35,200,15,15000,2000,1780000,1780000,26,26,48,48,2.4,2.4,100000
total time: 5.24 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
351e6118Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)
403e6300 / 2318Erik BrangerNovember 23, 2010 15:31:53 UTC 2010 年 11 月 24 日 (水) 0 時 31 分 53 秒 (日本時間)

68×10178-239

c162

name 名前Dmitry Domanov
date 日付January 30, 2013 11:37:01 UTC 2013 年 1 月 30 日 (水) 20 時 37 分 1 秒 (日本時間)
composite number 合成数
338672922184983437360165303702384818234252486175752941407803270232893198828798309916978981353117110951023263378194306842294169776052434033305629318155942495217221<162>
prime factors 素因数
102812284474151843469517189464005475721303307<45>
650785304945415926840088681162070225288084374523<48>
5061715459895800577699102768191650305380313693341269072680074118556061<70>
factorization results 素因数分解の結果
Wed Jan 30 13:51:23 2013  commencing relation filtering
Wed Jan 30 13:51:23 2013  estimated available RAM is 48289.8 MB
Wed Jan 30 13:51:23 2013  commencing duplicate removal, pass 1
Wed Jan 30 13:56:02 2013  found 3172837 hash collisions in 22389485 relations
Wed Jan 30 13:56:30 2013  commencing duplicate removal, pass 2
Wed Jan 30 13:56:40 2013  found 2796833 duplicates and 19592652 unique relations
Wed Jan 30 13:56:40 2013  memory use: 98.6 MB
Wed Jan 30 13:56:40 2013  reading ideals above 720000
Wed Jan 30 13:56:40 2013  commencing singleton removal, initial pass
Wed Jan 30 14:01:24 2013  memory use: 376.5 MB
Wed Jan 30 14:01:25 2013  reading all ideals from disk
Wed Jan 30 14:01:26 2013  memory use: 603.6 MB
Wed Jan 30 14:01:27 2013  keeping 20333970 ideals with weight <= 200, target excess is 115931
Wed Jan 30 14:01:29 2013  commencing in-memory singleton removal
Wed Jan 30 14:01:30 2013  begin with 19592652 relations and 20333970 unique ideals
Wed Jan 30 14:01:44 2013  reduce to 9395549 relations and 8040158 ideals in 15 passes
Wed Jan 30 14:01:44 2013  max relations containing the same ideal: 123
Wed Jan 30 14:01:49 2013  removing 1964787 relations and 1564787 ideals in 400000 cliques
Wed Jan 30 14:01:50 2013  commencing in-memory singleton removal
Wed Jan 30 14:01:50 2013  begin with 7430762 relations and 8040158 unique ideals
Wed Jan 30 14:01:55 2013  reduce to 7182902 relations and 6215308 ideals in 9 passes
Wed Jan 30 14:01:55 2013  max relations containing the same ideal: 103
Wed Jan 30 14:01:59 2013  removing 1506640 relations and 1106640 ideals in 400000 cliques
Wed Jan 30 14:01:59 2013  commencing in-memory singleton removal
Wed Jan 30 14:02:00 2013  begin with 5676262 relations and 6215308 unique ideals
Wed Jan 30 14:02:03 2013  reduce to 5471214 relations and 4892596 ideals in 8 passes
Wed Jan 30 14:02:03 2013  max relations containing the same ideal: 82
Wed Jan 30 14:02:06 2013  removing 1370953 relations and 970953 ideals in 400000 cliques
Wed Jan 30 14:02:06 2013  commencing in-memory singleton removal
Wed Jan 30 14:02:07 2013  begin with 4100261 relations and 4892596 unique ideals
Wed Jan 30 14:02:09 2013  reduce to 3877735 relations and 3684314 ideals in 8 passes
Wed Jan 30 14:02:09 2013  max relations containing the same ideal: 66
Wed Jan 30 14:02:11 2013  removing 310580 relations and 251639 ideals in 58941 cliques
Wed Jan 30 14:02:11 2013  commencing in-memory singleton removal
Wed Jan 30 14:02:11 2013  begin with 3567155 relations and 3684314 unique ideals
Wed Jan 30 14:02:14 2013  reduce to 3551289 relations and 3416567 ideals in 10 passes
Wed Jan 30 14:02:14 2013  max relations containing the same ideal: 59
Wed Jan 30 14:02:16 2013  relations with 0 large ideals: 2833
Wed Jan 30 14:02:16 2013  relations with 1 large ideals: 1532
Wed Jan 30 14:02:16 2013  relations with 2 large ideals: 23342
Wed Jan 30 14:02:16 2013  relations with 3 large ideals: 141066
Wed Jan 30 14:02:16 2013  relations with 4 large ideals: 461359
Wed Jan 30 14:02:16 2013  relations with 5 large ideals: 870467
Wed Jan 30 14:02:16 2013  relations with 6 large ideals: 1025982
Wed Jan 30 14:02:16 2013  relations with 7+ large ideals: 1024708
Wed Jan 30 14:02:16 2013  commencing 2-way merge
Wed Jan 30 14:02:18 2013  reduce to 2304632 relation sets and 2169910 unique ideals
Wed Jan 30 14:02:18 2013  commencing full merge
Wed Jan 30 14:02:55 2013  memory use: 269.7 MB
Wed Jan 30 14:02:55 2013  found 1188133 cycles, need 1170110
Wed Jan 30 14:02:55 2013  weight of 1170110 cycles is about 82052309 (70.12/cycle)
Wed Jan 30 14:02:55 2013  distribution of cycle lengths:
Wed Jan 30 14:02:55 2013  1 relations: 117843
Wed Jan 30 14:02:55 2013  2 relations: 128947
Wed Jan 30 14:02:55 2013  3 relations: 134046
Wed Jan 30 14:02:55 2013  4 relations: 129449
Wed Jan 30 14:02:55 2013  5 relations: 119779
Wed Jan 30 14:02:55 2013  6 relations: 107116
Wed Jan 30 14:02:55 2013  7 relations: 92122
Wed Jan 30 14:02:55 2013  8 relations: 77719
Wed Jan 30 14:02:55 2013  9 relations: 63602
Wed Jan 30 14:02:55 2013  10+ relations: 199487
Wed Jan 30 14:02:55 2013  heaviest cycle: 21 relations
Wed Jan 30 14:02:56 2013  commencing cycle optimization
Wed Jan 30 14:02:58 2013  start with 6820009 relations
Wed Jan 30 14:03:08 2013  pruned 198550 relations
Wed Jan 30 14:03:08 2013  memory use: 215.4 MB
Wed Jan 30 14:03:08 2013  distribution of cycle lengths:
Wed Jan 30 14:03:08 2013  1 relations: 117843
Wed Jan 30 14:03:08 2013  2 relations: 131731
Wed Jan 30 14:03:08 2013  3 relations: 138876
Wed Jan 30 14:03:08 2013  4 relations: 133331
Wed Jan 30 14:03:08 2013  5 relations: 123731
Wed Jan 30 14:03:08 2013  6 relations: 109679
Wed Jan 30 14:03:08 2013  7 relations: 93902
Wed Jan 30 14:03:08 2013  8 relations: 78122
Wed Jan 30 14:03:08 2013  9 relations: 63159
Wed Jan 30 14:03:08 2013  10+ relations: 179736
Wed Jan 30 14:03:08 2013  heaviest cycle: 20 relations
Wed Jan 30 14:03:09 2013  RelProcTime: 706
Wed Jan 30 14:03:10 2013  
Wed Jan 30 14:03:10 2013  commencing linear algebra
Wed Jan 30 14:03:10 2013  read 1170110 cycles
Wed Jan 30 14:03:12 2013  cycles contain 3470913 unique relations
Wed Jan 30 14:03:57 2013  read 3470913 relations
Wed Jan 30 14:04:02 2013  using 20 quadratic characters above 268435244
Wed Jan 30 14:04:22 2013  building initial matrix
Wed Jan 30 14:05:10 2013  memory use: 432.5 MB
Wed Jan 30 14:05:11 2013  read 1170110 cycles
Wed Jan 30 14:05:11 2013  matrix is 1169931 x 1170110 (349.2 MB) with weight 104411858 (89.23/col)
Wed Jan 30 14:05:11 2013  sparse part has weight 78657430 (67.22/col)
Wed Jan 30 14:05:24 2013  filtering completed in 2 passes
Wed Jan 30 14:05:24 2013  matrix is 1169459 x 1169638 (349.1 MB) with weight 104395335 (89.25/col)
Wed Jan 30 14:05:24 2013  sparse part has weight 78651169 (67.24/col)
Wed Jan 30 14:05:27 2013  matrix starts at (0, 0)
Wed Jan 30 14:05:27 2013  matrix is 1169459 x 1169638 (349.1 MB) with weight 104395335 (89.25/col)
Wed Jan 30 14:05:27 2013  sparse part has weight 78651169 (67.24/col)
Wed Jan 30 14:05:27 2013  saving the first 48 matrix rows for later
Wed Jan 30 14:05:27 2013  matrix includes 64 packed rows
Wed Jan 30 14:05:28 2013  matrix is 1169411 x 1169638 (331.4 MB) with weight 82404748 (70.45/col)
Wed Jan 30 14:05:28 2013  sparse part has weight 75190528 (64.29/col)
Wed Jan 30 14:05:28 2013  using block size 65536 for processor cache size 12288 kB
Wed Jan 30 14:05:32 2013  commencing Lanczos iteration (8 threads)
Wed Jan 30 14:05:32 2013  memory use: 325.2 MB
Wed Jan 30 14:05:37 2013  linear algebra at 0.1%, ETA 0h51m
Wed Jan 30 14:05:39 2013  checkpointing every 1220000 dimensions
Wed Jan 30 15:15:48 2013  lanczos halted after 18492 iterations (dim = 1169406)
Wed Jan 30 15:15:50 2013  recovered 34 nontrivial dependencies
Wed Jan 30 15:15:50 2013  BLanczosTime: 4360
Wed Jan 30 15:15:50 2013  
Wed Jan 30 15:15:50 2013  commencing square root phase
Wed Jan 30 15:15:50 2013  reading relations for dependency 1
Wed Jan 30 15:15:50 2013  read 585123 cycles
Wed Jan 30 15:15:51 2013  cycles contain 1736900 unique relations
Wed Jan 30 15:16:15 2013  read 1736900 relations
Wed Jan 30 15:16:23 2013  multiplying 1736900 relations
Wed Jan 30 15:17:44 2013  multiply complete, coefficients have about 56.70 million bits
Wed Jan 30 15:17:45 2013  initial square root is modulo 138063911
Wed Jan 30 15:19:33 2013  GCD is 1, no factor found
Wed Jan 30 15:19:33 2013  reading relations for dependency 2
Wed Jan 30 15:19:33 2013  read 584685 cycles
Wed Jan 30 15:19:34 2013  cycles contain 1735206 unique relations
Wed Jan 30 15:19:58 2013  read 1735206 relations
Wed Jan 30 15:20:06 2013  multiplying 1735206 relations
Wed Jan 30 15:21:27 2013  multiply complete, coefficients have about 56.64 million bits
Wed Jan 30 15:21:28 2013  initial square root is modulo 135421831
Wed Jan 30 15:23:16 2013  sqrtTime: 446

NFS elapsed time = 5513.7704 seconds.
PRP48 = 650785304945415926840088681162070225288084374523
PRP45 = 102812284474151843469517189464005475721303307
PRP70 = 5061715459895800577699102768191650305380313693341269072680074118556061

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 23, 2010 12:03:45 UTC 2010 年 11 月 23 日 (火) 21 時 3 分 45 秒 (日本時間)
403e6110Ignacio SantosNovember 23, 2010 12:03:45 UTC 2010 年 11 月 23 日 (火) 21 時 3 分 45 秒 (日本時間)
4511e6832 / 443732Ignacio SantosNovember 23, 2010 12:03:45 UTC 2010 年 11 月 23 日 (火) 21 時 3 分 45 秒 (日本時間)
800Rich DickersonFebruary 7, 2012 20:28:14 UTC 2012 年 2 月 8 日 (水) 5 時 28 分 14 秒 (日本時間)

68×10179-239

c133

name 名前Robert Backstrom
date 日付April 19, 2012 22:01:38 UTC 2012 年 4 月 20 日 (金) 7 時 1 分 38 秒 (日本時間)
composite number 合成数
1188361772868545952769683955281942539868681771007473392132218984446601337878676334601828029997638756289306949025693849412291600618981<133>
prime factors 素因数
108003566110769003559634759778221063887538512713<48>
11002986435186372542216908644437255268993755769556686029195931401419815753693267362237<86>
factorization results 素因数分解の結果
Number: n
N=1188361772868545952769683955281942539868681771007473392132218984446601337878676334601828029997638756289306949025693849412291600618981
  ( 133 digits)
Divisors found:

Fri Apr 20 04:33:20 2012  prp48 factor: 108003566110769003559634759778221063887538512713
Fri Apr 20 04:33:20 2012  prp86 factor: 11002986435186372542216908644437255268993755769556686029195931401419815753693267362237
Fri Apr 20 04:33:20 2012  elapsed time 04:36:02 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.026).
Factorization parameters were as follows:
name: KA_75553_179
n: 1188361772868545952769683955281942539868681771007473392132218984446601337878676334601828029997638756289306949025693849412291600618981
skew: 116121.97
# norm 5.28e+17
c5: 22920
c4: -117997303214
c3: -4625404432424789
c2: 1489157342398770280188
c1: 95669787328253478003446140
c0: 1073885397140406249361721745910
# alpha -4.82
Y1: 349565157863977
Y0: -34910115822733233392689503
# Murphy_E 5.06e-11
# M 1127783418849529560059357317847196836952063948087342795085205232250119674874721444248109262089953595429429689214135981779865831975312
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 20160000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2637833 hash collisions in 11937705 relations
Msieve: matrix is 1363126 x 1363351 (393.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,132,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 4012828k/4980736k available (3972k kernel code, 787908k absent, 180000k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.52 BogoMIPS (lpj=2400261)
Calibrating delay using timer specific routine.. 4799.90 BogoMIPS (lpj=2399952)
Calibrating delay using timer specific routine.. 4799.86 BogoMIPS (lpj=2399932)
Calibrating delay using timer specific routine.. 4799.90 BogoMIPS (lpj=2399953)
Total of 4 processors activated (19200.19 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 23, 2010 12:04:32 UTC 2010 年 11 月 23 日 (火) 21 時 4 分 32 秒 (日本時間)
403e6880110Ignacio SantosNovember 23, 2010 12:04:32 UTC 2010 年 11 月 23 日 (火) 21 時 4 分 32 秒 (日本時間)
770Ignacio SantosJuly 12, 2011 13:24:04 UTC 2011 年 7 月 12 日 (火) 22 時 24 分 4 秒 (日本時間)
4511e6252 / 405332Ignacio SantosNovember 23, 2010 12:04:32 UTC 2010 年 11 月 23 日 (火) 21 時 4 分 32 秒 (日本時間)
220Ignacio SantosJuly 12, 2011 13:24:04 UTC 2011 年 7 月 12 日 (火) 22 時 24 分 4 秒 (日本時間)
5043e661 / 7461Ignacio SantosJuly 12, 2011 13:24:04 UTC 2011 年 7 月 12 日 (火) 22 時 24 分 4 秒 (日本時間)

68×10180-239

c137

name 名前Andreas Tete
date 日付February 5, 2014 04:31:35 UTC 2014 年 2 月 5 日 (水) 13 時 31 分 35 秒 (日本時間)
composite number 合成数
14016343553388198334544079233398853377926083094750524776236317087491699378042002002755939966398240676751144871915567179478982264925864677<137>
prime factors 素因数
9067647790334906745029788415987836419853855890315293032457687<61>
1545752975576317045820513156460412781511667127997285084389767436431479524771<76>
factorization results 素因数分解の結果
Tue Feb 04 23:09:25 2014 Found 19220895 relations, 121.3% of the estimated minimum (15848931).
Tue Feb 04 23:09:26 2014  
Tue Feb 04 23:09:26 2014  
Tue Feb 04 23:09:26 2014  Msieve v. 1.52 (SVN 927)
Tue Feb 04 23:09:26 2014  random seeds: 974b9f44 a66f9959
Tue Feb 04 23:09:26 2014  factoring 14016343553388198334544079233398853377926083094750524776236317087491699378042002002755939966398240676751144871915567179478982264925864677 (137 digits)
Tue Feb 04 23:09:27 2014  searching for 15-digit factors
Tue Feb 04 23:09:28 2014  commencing number field sieve (137-digit input)
Tue Feb 04 23:09:28 2014  R0: -1000000000000000000000000000000000000
Tue Feb 04 23:09:28 2014  R1: 1
Tue Feb 04 23:09:28 2014  A0: -23
Tue Feb 04 23:09:28 2014  A1: 0
Tue Feb 04 23:09:28 2014  A2: 0
Tue Feb 04 23:09:28 2014  A3: 0
Tue Feb 04 23:09:28 2014  A4: 0
Tue Feb 04 23:09:28 2014  A5: 68
Tue Feb 04 23:09:28 2014  skew 0.81, size 8.087e-013, alpha 1.218, combined = 7.333e-011 rroots = 1
Tue Feb 04 23:09:28 2014  
Tue Feb 04 23:09:28 2014  commencing relation filtering
Tue Feb 04 23:09:28 2014  estimated available RAM is 3884.5 MB
Tue Feb 04 23:09:28 2014  commencing duplicate removal, pass 1
Tue Feb 04 23:09:32 2014  error -11 reading relation 309100
Tue Feb 04 23:09:32 2014  <snip error reading relations>
Tue Feb 04 23:14:04 2014  skipped 2 relations with b > 2^32
Tue Feb 04 23:14:04 2014  found 2893063 hash collisions in 19219336 relations
Tue Feb 04 23:14:48 2014  added 984 free relations
Tue Feb 04 23:14:48 2014  commencing duplicate removal, pass 2
Tue Feb 04 23:15:22 2014  found 2224360 duplicates and 16995960 unique relations
Tue Feb 04 23:15:22 2014  memory use: 82.6 MB
Tue Feb 04 23:15:22 2014  reading ideals above 720000
Tue Feb 04 23:15:22 2014  commencing singleton removal, initial pass
Tue Feb 04 23:20:04 2014  memory use: 376.5 MB
Tue Feb 04 23:20:04 2014  reading all ideals from disk
Tue Feb 04 23:20:04 2014  memory use: 526.8 MB
Tue Feb 04 23:20:06 2014  keeping 19335432 ideals with weight <= 200, target excess is 115903
Tue Feb 04 23:20:08 2014  commencing in-memory singleton removal
Tue Feb 04 23:20:09 2014  begin with 16995960 relations and 19335432 unique ideals
Tue Feb 04 23:20:26 2014  reduce to 6212287 relations and 6019521 ideals in 19 passes
Tue Feb 04 23:20:26 2014  max relations containing the same ideal: 93
Tue Feb 04 23:20:30 2014  removing 384925 relations and 355766 ideals in 29159 cliques
Tue Feb 04 23:20:30 2014  commencing in-memory singleton removal
Tue Feb 04 23:20:30 2014  begin with 5827362 relations and 6019521 unique ideals
Tue Feb 04 23:20:36 2014  reduce to 5806428 relations and 5642657 ideals in 9 passes
Tue Feb 04 23:20:36 2014  max relations containing the same ideal: 89
Tue Feb 04 23:20:40 2014  removing 278721 relations and 249562 ideals in 29159 cliques
Tue Feb 04 23:20:40 2014  commencing in-memory singleton removal
Tue Feb 04 23:20:41 2014  begin with 5527707 relations and 5642657 unique ideals
Tue Feb 04 23:20:46 2014  reduce to 5515656 relations and 5380965 ideals in 8 passes
Tue Feb 04 23:20:46 2014  max relations containing the same ideal: 84
Tue Feb 04 23:20:51 2014  relations with 0 large ideals: 2863
Tue Feb 04 23:20:51 2014  relations with 1 large ideals: 1180
Tue Feb 04 23:20:51 2014  relations with 2 large ideals: 20301
Tue Feb 04 23:20:51 2014  relations with 3 large ideals: 147436
Tue Feb 04 23:20:51 2014  relations with 4 large ideals: 562635
Tue Feb 04 23:20:51 2014  relations with 5 large ideals: 1241244
Tue Feb 04 23:20:51 2014  relations with 6 large ideals: 1663503
Tue Feb 04 23:20:51 2014  relations with 7+ large ideals: 1876494
Tue Feb 04 23:20:51 2014  commencing 2-way merge
Tue Feb 04 23:20:56 2014  reduce to 3173240 relation sets and 3038549 unique ideals
Tue Feb 04 23:20:56 2014  commencing full merge
Tue Feb 04 23:22:09 2014  memory use: 364.9 MB
Tue Feb 04 23:22:10 2014  found 1613977 cycles, need 1598749
Tue Feb 04 23:22:10 2014  weight of 1598749 cycles is about 111974087 (70.04/cycle)
Tue Feb 04 23:22:10 2014  distribution of cycle lengths:
Tue Feb 04 23:22:10 2014  1 relations: 227802
Tue Feb 04 23:22:10 2014  2 relations: 200633
Tue Feb 04 23:22:10 2014  3 relations: 189655
Tue Feb 04 23:22:10 2014  4 relations: 163880
Tue Feb 04 23:22:10 2014  5 relations: 143986
Tue Feb 04 23:22:10 2014  6 relations: 119349
Tue Feb 04 23:22:10 2014  7 relations: 101652
Tue Feb 04 23:22:10 2014  8 relations: 84029
Tue Feb 04 23:22:10 2014  9 relations: 69897
Tue Feb 04 23:22:10 2014  10+ relations: 297866
Tue Feb 04 23:22:10 2014  heaviest cycle: 25 relations
Tue Feb 04 23:22:10 2014  commencing cycle optimization
Tue Feb 04 23:22:13 2014  start with 9308022 relations
Tue Feb 04 23:22:35 2014  pruned 191431 relations
Tue Feb 04 23:22:35 2014  memory use: 315.4 MB
Tue Feb 04 23:22:35 2014  distribution of cycle lengths:
Tue Feb 04 23:22:35 2014  1 relations: 227802
Tue Feb 04 23:22:35 2014  2 relations: 204710
Tue Feb 04 23:22:35 2014  3 relations: 195413
Tue Feb 04 23:22:35 2014  4 relations: 166907
Tue Feb 04 23:22:35 2014  5 relations: 146290
Tue Feb 04 23:22:35 2014  6 relations: 120310
Tue Feb 04 23:22:35 2014  7 relations: 101609
Tue Feb 04 23:22:35 2014  8 relations: 83274
Tue Feb 04 23:22:35 2014  9 relations: 69079
Tue Feb 04 23:22:35 2014  10+ relations: 283355
Tue Feb 04 23:22:35 2014  heaviest cycle: 25 relations
Tue Feb 04 23:22:37 2014  RelProcTime: 789
Tue Feb 04 23:22:37 2014  elapsed time 00:13:11
Tue Feb 04 23:22:37 2014 LatSieveTime: 3605.86
Tue Feb 04 23:22:37 2014 -> Running matrix solving step ...
Tue Feb 04 23:22:37 2014  
Tue Feb 04 23:22:37 2014  
Tue Feb 04 23:22:37 2014  Msieve v. 1.52 (SVN 927)
Tue Feb 04 23:22:37 2014  random seeds: e6145400 024dacdd
Tue Feb 04 23:22:37 2014  factoring 14016343553388198334544079233398853377926083094750524776236317087491699378042002002755939966398240676751144871915567179478982264925864677 (137 digits)
Tue Feb 04 23:22:38 2014  searching for 15-digit factors
Tue Feb 04 23:22:40 2014  commencing number field sieve (137-digit input)
Tue Feb 04 23:22:40 2014  R0: -1000000000000000000000000000000000000
Tue Feb 04 23:22:40 2014  R1: 1
Tue Feb 04 23:22:40 2014  A0: -23
Tue Feb 04 23:22:40 2014  A1: 0
Tue Feb 04 23:22:40 2014  A2: 0
Tue Feb 04 23:22:40 2014  A3: 0
Tue Feb 04 23:22:40 2014  A4: 0
Tue Feb 04 23:22:40 2014  A5: 68
Tue Feb 04 23:22:40 2014  skew 0.81, size 8.087e-013, alpha 1.218, combined = 7.333e-011 rroots = 1
Tue Feb 04 23:22:40 2014  
Tue Feb 04 23:22:40 2014  commencing linear algebra
Tue Feb 04 23:22:40 2014  read 1598749 cycles
Tue Feb 04 23:22:44 2014  cycles contain 5359684 unique relations
Tue Feb 04 23:24:04 2014  read 5359684 relations
Tue Feb 04 23:24:14 2014  using 20 quadratic characters above 268434822
Tue Feb 04 23:24:48 2014  building initial matrix
Tue Feb 04 23:26:08 2014  memory use: 651.2 MB
Tue Feb 04 23:26:10 2014  read 1598749 cycles
Tue Feb 04 23:26:11 2014  matrix is 1598570 x 1598749 (480.2 MB) with weight 140454734 (87.85/col)
Tue Feb 04 23:26:11 2014  sparse part has weight 108285989 (67.73/col)
Tue Feb 04 23:26:33 2014  filtering completed in 2 passes
Tue Feb 04 23:26:34 2014  matrix is 1595870 x 1596049 (479.9 MB) with weight 140361417 (87.94/col)
Tue Feb 04 23:26:34 2014  sparse part has weight 108250218 (67.82/col)
Tue Feb 04 23:26:40 2014  matrix starts at (0, 0)
Tue Feb 04 23:26:41 2014  matrix is 1595870 x 1596049 (479.9 MB) with weight 140361417 (87.94/col)
Tue Feb 04 23:26:41 2014  sparse part has weight 108250218 (67.82/col)
Tue Feb 04 23:26:41 2014  saving the first 48 matrix rows for later
Tue Feb 04 23:26:42 2014  matrix includes 64 packed rows
Tue Feb 04 23:26:42 2014  matrix is 1595822 x 1596049 (454.7 MB) with weight 111852873 (70.08/col)
Tue Feb 04 23:26:42 2014  sparse part has weight 103228791 (64.68/col)
Tue Feb 04 23:26:42 2014  using block size 8192 and superblock size 294912 for processor cache size 3072 kB
Tue Feb 04 23:26:51 2014  commencing Lanczos iteration (4 threads)
Tue Feb 04 23:26:51 2014  memory use: 364.3 MB
Tue Feb 04 23:27:03 2014  linear algebra at 0.1%, ETA 3h12m
Tue Feb 04 23:27:07 2014  checkpointing every 490000 dimensions
Wed Feb 05 03:57:27 2014  lanczos halted after 25240 iterations (dim = 1595815)
Wed Feb 05 03:57:33 2014  recovered 36 nontrivial dependencies
Wed Feb 05 03:57:35 2014  BLanczosTime: 16495
Wed Feb 05 03:57:35 2014  elapsed time 04:34:58
Wed Feb 05 03:57:35 2014 -> Running square root step ...
Wed Feb 05 03:57:35 2014  
Wed Feb 05 03:57:35 2014  
Wed Feb 05 03:57:35 2014  Msieve v. 1.52 (SVN 927)
Wed Feb 05 03:57:35 2014  random seeds: dfe5ce30 f3338025
Wed Feb 05 03:57:35 2014  factoring 14016343553388198334544079233398853377926083094750524776236317087491699378042002002755939966398240676751144871915567179478982264925864677 (137 digits)
Wed Feb 05 03:57:36 2014  searching for 15-digit factors
Wed Feb 05 03:57:37 2014  commencing number field sieve (137-digit input)
Wed Feb 05 03:57:37 2014  R0: -1000000000000000000000000000000000000
Wed Feb 05 03:57:37 2014  R1: 1
Wed Feb 05 03:57:37 2014  A0: -23
Wed Feb 05 03:57:37 2014  A1: 0
Wed Feb 05 03:57:37 2014  A2: 0
Wed Feb 05 03:57:37 2014  A3: 0
Wed Feb 05 03:57:37 2014  A4: 0
Wed Feb 05 03:57:37 2014  A5: 68
Wed Feb 05 03:57:37 2014  skew 0.81, size 8.087e-013, alpha 1.218, combined = 7.333e-011 rroots = 1
Wed Feb 05 03:57:37 2014  
Wed Feb 05 03:57:37 2014  commencing square root phase
Wed Feb 05 03:57:37 2014  reading relations for dependency 1
Wed Feb 05 03:57:38 2014  read 799113 cycles
Wed Feb 05 03:57:40 2014  cycles contain 2680618 unique relations
Wed Feb 05 03:58:26 2014  read 2680618 relations
Wed Feb 05 03:58:45 2014  multiplying 2680618 relations
Wed Feb 05 04:00:58 2014  multiply complete, coefficients have about 75.62 million bits
Wed Feb 05 04:00:59 2014  initial square root is modulo 267781
Wed Feb 05 04:03:55 2014  GCD is N, no factor found
Wed Feb 05 04:03:55 2014  reading relations for dependency 2
Wed Feb 05 04:03:56 2014  read 797698 cycles
Wed Feb 05 04:03:58 2014  cycles contain 2679046 unique relations
Wed Feb 05 04:04:42 2014  read 2679046 relations
Wed Feb 05 04:05:00 2014  multiplying 2679046 relations
Wed Feb 05 04:07:15 2014  multiply complete, coefficients have about 75.57 million bits
Wed Feb 05 04:07:16 2014  initial square root is modulo 265831
Wed Feb 05 04:10:16 2014  GCD is 1, no factor found
Wed Feb 05 04:10:16 2014  reading relations for dependency 3
Wed Feb 05 04:10:17 2014  read 798433 cycles
Wed Feb 05 04:10:19 2014  cycles contain 2680538 unique relations
Wed Feb 05 04:11:02 2014  read 2680538 relations
Wed Feb 05 04:11:21 2014  multiplying 2680538 relations
Wed Feb 05 04:13:35 2014  multiply complete, coefficients have about 75.62 million bits
Wed Feb 05 04:13:36 2014  initial square root is modulo 267781
Wed Feb 05 04:16:32 2014  sqrtTime: 1135
Wed Feb 05 04:16:32 2014  prp61 factor: 9067647790334906745029788415987836419853855890315293032457687
Wed Feb 05 04:16:32 2014  prp76 factor: 1545752975576317045820513156460412781511667127997285084389767436431479524771
Wed Feb 05 04:16:32 2014  elapsed time 00:18:57
Wed Feb 05 04:16:32 2014 -> Computing 1.39157e+09 scale for this machine...
Wed Feb 05 04:16:32 2014 -> procrels -speedtest> PIPE
software ソフトウェア
factmsieve.py via ggnfs
execution environment 実行環境
Core i3 350M @ 2.1GHz Windows 7 Home Premium 64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 23, 2010 12:05:23 UTC 2010 年 11 月 23 日 (火) 21 時 5 分 23 秒 (日本時間)
403e6110Ignacio SantosNovember 23, 2010 12:05:23 UTC 2010 年 11 月 23 日 (火) 21 時 5 分 23 秒 (日本時間)
4511e62332 / 443732Ignacio SantosNovember 23, 2010 12:05:23 UTC 2010 年 11 月 23 日 (火) 21 時 5 分 23 秒 (日本時間)
600Rich DickersonSeptember 10, 2012 00:46:46 UTC 2012 年 9 月 10 日 (月) 9 時 46 分 46 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:44:55 UTC 2013 年 11 月 8 日 (金) 10 時 44 分 55 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:05:49 UTC 2013 年 11 月 9 日 (土) 2 時 5 分 49 秒 (日本時間)

68×10181-239

c169

name 名前matsui
date 日付September 11, 2010 23:03:26 UTC 2010 年 9 月 12 日 (日) 8 時 3 分 26 秒 (日本時間)
composite number 合成数
1121162790018338520311649228360867303766509012027003378158108885254425455682652368827909961513492955195279371639300983184092234176990951600770927093473917922866962075049<169>
prime factors 素因数
38598682883175609390323251425782435277277<41>
29046659271035148761351467154277519523956667361843834345754724201204153127862427126768774462617977911437682974304082928977765437<128>
factorization results 素因数分解の結果
N=1121162790018338520311649228360867303766509012027003378158108885254425455682652368827909961513492955195279371639300983184092234176990951600770927093473917922866962075049
  ( 169 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=38598682883175609390323251425782435277277 (pp41)
 r2=29046659271035148761351467154277519523956667361843834345754724201204153127862427126768774462617977911437682974304082928977765437 (pp128)
Version: Msieve v. 1.47
Total time:
Scaled time: 39.33 units (timescale=1.295).
Factorization parameters were as follows:
n: 1121162790018338520311649228360867303766509012027003378158108885254425455682652368827909961513492955195279371639300983184092234176990951600770927093473917922866962075049
m: 1000000000000000000000000000000000000
deg: 5
c5: 680
c0: -23
skew: 0.51
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3900000, 11100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1563758 x 1563985
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)

68×10182-239

c183

name 名前Dmitry Domanov
date 日付January 6, 2010 13:21:34 UTC 2010 年 1 月 6 日 (水) 22 時 21 分 34 秒 (日本時間)
composite number 合成数
251851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851<183>
prime factors 素因数
11777761523625520660252359292037433875427173727723153586480839903240239111<74>
21383677309703659883015838548013917659824545617725969319273354999568708543887195065630251107479541596707165341<110>
factorization results 素因数分解の結果
N=251851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851
  ( 183 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=11777761523625520660252359292037433875427173727723153586480839903240239111 (pp74)
 r2=21383677309703659883015838548013917659824545617725969319273354999568708543887195065630251107479541596707165341 (pp110)
Version: Msieve-1.40
Total time: 218.56 hours.
Scaled time: 403.24 units (timescale=1.845).
Factorization parameters were as follows:
n: 251851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851
m: 1000000000000000000000000000000000000
deg: 5
c5: 6800
c0: -23
skew: 0.32
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 300000
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4050000, 7650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1388385 x 1388610
Total sieving time: 215.71 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.47 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 218.56 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
3025e40--
351e6118 / 904Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)

68×10183-239

c136

name 名前Ignacio Santos
date 日付November 23, 2010 12:14:59 UTC 2010 年 11 月 23 日 (火) 21 時 14 分 59 秒 (日本時間)
composite number 合成数
4073995991528172253317829030910588494947942023877311730449870015431768631429354910727686755073156393606491126438600488865544503919145649<136>
prime factors 素因数
3203446046525728618564267986845628673633<40>
1271754208548819326705827176503520044669236013827948674565982307593584265837280283454667086300753<97>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2828262676
Step 1 took 21871ms
Step 2 took 11123ms
********** Factor found in step 2: 3203446046525728618564267986845628673633
Found probable prime factor of 40 digits: 3203446046525728618564267986845628673633
Probable prime cofactor 1271754208548819326705827176503520044669236013827948674565982307593584265837280283454667086300753 has 97 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)

68×10185-239

c170

name 名前Ignacio Santos
date 日付November 23, 2010 12:34:19 UTC 2010 年 11 月 23 日 (火) 21 時 34 分 19 秒 (日本時間)
composite number 合成数
22140551484881347535411182257018047287747129896141552852451879227406319942383124127534919835154229104735142106427614666512078364155042238551987075888572843499474386560957<170>
prime factors 素因数
8377049239545571015327734482201443<34>
2643001234893350573533373608321113252401068209153840997409894362520609434265127281466569527915829457415923850136672300654697020027656799<136>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4105481946
Step 1 took 8674ms
Step 2 took 6225ms
********** Factor found in step 2: 8377049239545571015327734482201443
Found probable prime factor of 34 digits: 8377049239545571015327734482201443
Probable prime cofactor 2643001234893350573533373608321113252401068209153840997409894362520609434265127281466569527915829457415923850136672300654697020027656799 has 136 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)

68×10186-239

c172

name 名前Ignacio Santos
date 日付November 23, 2010 16:35:57 UTC 2010 年 11 月 24 日 (水) 1 時 35 分 57 秒 (日本時間)
composite number 合成数
7114865828192845104931251929329612304273934676643834476233374652374665148794140497049760347348195278046136227906874255602887837513617931449714468461771569595566288630661281<172>
prime factors 素因数
10379560642552507036838575518226695761<38>
685468881893172403139894266959276894509803121870939732729975703483908324789062114778869368963655544196942808741533886075469896101802321<135>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=606520047
Step 1 took 88718ms
Step 2 took 43773ms
********** Factor found in step 2: 10379560642552507036838575518226695761
Found probable prime factor of 38 digits: 10379560642552507036838575518226695761
Probable prime cofactor 685468881893172403139894266959276894509803121870939732729975703483908324789062114778869368963655544196942808741533886075469896101802321 has 135 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)

68×10188-239

c116

name 名前Jeff Gilchrist
date 日付January 8, 2010 14:36:33 UTC 2010 年 1 月 8 日 (金) 23 時 36 分 33 秒 (日本時間)
composite number 合成数
93607562951191867037599030886671263414351549681539484011216639789479697085518090466806569774487188163254735366552831<116>
prime factors 素因数
1209065800307309008374557009533239527027220494573177<52>
77421396691064766196756792148534956490086283327224106760990062903<65>
factorization results 素因数分解の結果
Number: 75553_188
N = 93607562951191867037599030886671263414351549681539484011216639789479697085518090466806569774487188163254735366552831 (116 digits)
Divisors found:
r1=1209065800307309008374557009533239527027220494573177 (pp52)
r2=77421396691064766196756792148534956490086283327224106760990062903 (pp65)
Version: Msieve v. 1.43
Total time: 31.35 hours.
Factorization parameters were as follows:
n: 93607562951191867037599030886671263414351549681539484011216639789479697085518090466806569774487188163254735366552831
Y0: -28231203245168159559634
Y1: 1778885320421
c0: -48329771797454096102003334255
c1: -1973342443515629174314157
c2: 283864575657235627
c3: 452030515989589
c4: -1241357424
c5: 5220
skew: 101800.880000
type: gnfs
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [1700000, 3099999)
Relations: 1051790 relations
Max relations in full relation-set: 0
Pruned matrix : 577398 x 577624
Polynomial selection time: 0.00 hours.
Total sieving time: 29.91 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.01 hours.
time per square root: 0.23 hours.
Prototype def-par.txt line would be: gnfs,115,5,63,2000,2.6e-05,0.28,250,20,50000,3600,3400000,3400000,27,27,53,53,2.5,2.5,100000
total time: 31.35 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
factmsieve.py + ggnfs + msieve 1.43
execution environment 実行環境
PentiumD 3.0GHz Windows XP

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)

68×10190-239

c168

name 名前Dmitry Domanov
date 日付January 24, 2013 15:16:09 UTC 2013 年 1 月 25 日 (金) 0 時 16 分 9 秒 (日本時間)
composite number 合成数
602090840116247330627546548361445907136030792942323594436510377799350575172479206791792754443081793348292785345514790399508612899243362389008496190574654734920301895663<168>
prime factors 素因数
14640286788911168560457543520187076437915910149<47>
138366781520285110543174074322771289422028053797151<51>
297221756746092703074267862377410185325898235504912134103215597337867837<72>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1924363566
Step 1 took 92429ms
Step 2 took 30695ms
********** Factor found in step 2: 14640286788911168560457543520187076437915910149
Found probable prime factor of 47 digits: 14640286788911168560457543520187076437915910149
Composite cofactor 41125617878761936216452484727252854186392800973108607043420756180808922330867889050594699117137700456376656053910045132387 has 122 digits

prp51 = 138366781520285110543174074322771289422028053797151
prp72 = 297221756746092703074267862377410185325898235504912134103215597337867837
NFS elapsed time = 17015.7569 seconds.
software ソフトウェア
ECM 6.3, YAFU 1.33

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 23, 2010 16:36:43 UTC 2010 年 11 月 24 日 (水) 1 時 36 分 43 秒 (日本時間)
403e61310110Ignacio SantosNovember 23, 2010 16:36:43 UTC 2010 年 11 月 24 日 (水) 1 時 36 分 43 秒 (日本時間)
1200Dmitry DomanovJanuary 14, 2013 15:00:19 UTC 2013 年 1 月 15 日 (火) 0 時 0 分 19 秒 (日本時間)
4511e6332 / 417232Ignacio SantosNovember 23, 2010 16:36:43 UTC 2010 年 11 月 24 日 (水) 1 時 36 分 43 秒 (日本時間)
300Dmitry DomanovJanuary 23, 2013 09:50:52 UTC 2013 年 1 月 23 日 (水) 18 時 50 分 52 秒 (日本時間)

68×10191-239

c179

composite cofactor 合成数の残り
19679080877188396805625360837565901640779402319124101724800464001946992029038565273960216887747971505936617775536458083200637057761809197237407955245398888464568992601435421186209<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 23, 2010 16:37:16 UTC 2010 年 11 月 24 日 (水) 1 時 37 分 16 秒 (日本時間)
403e61310110Ignacio SantosNovember 23, 2010 16:37:16 UTC 2010 年 11 月 24 日 (水) 1 時 37 分 16 秒 (日本時間)
1200Dmitry DomanovJanuary 14, 2013 15:00:28 UTC 2013 年 1 月 15 日 (火) 0 時 0 分 28 秒 (日本時間)
4511e61032 / 417232Ignacio SantosNovember 23, 2010 16:37:16 UTC 2010 年 11 月 24 日 (水) 1 時 37 分 16 秒 (日本時間)
1000Dmitry DomanovJanuary 21, 2013 15:42:13 UTC 2013 年 1 月 22 日 (火) 0 時 42 分 13 秒 (日本時間)

68×10192-239

c190

name 名前Wataru Sakai
date 日付January 13, 2010 13:45:31 UTC 2010 年 1 月 13 日 (水) 22 時 45 分 31 秒 (日本時間)
composite number 合成数
1067319615137103482915038219459747924220307325265652713032286418357897380358179906138657374707664296589285994569226664155326395755834942160694385584906844971825901335719106590698623471614007<190>
prime factors 素因数
63613572392957084576508207315349265203004641150729645459<56>
16778174452206534883152067463940700592929852483963382763780876033049909552135548823300625828709641521501569582794433988435378731274573<134>
factorization results 素因数分解の結果
Number: 75553_192
N=1067319615137103482915038219459747924220307325265652713032286418357897380358179906138657374707664296589285994569226664155326395755834942160694385584906844971825901335719106590698623471614007
  ( 190 digits)
SNFS difficulty: 193 digits.
Divisors found:
 r1=63613572392957084576508207315349265203004641150729645459
 r2=16778174452206534883152067463940700592929852483963382763780876033049909552135548823300625828709641521501569582794433988435378731274573
Version: 
Total time: 594.73 hours.
Scaled time: 1198.39 units (timescale=2.015).
Factorization parameters were as follows:
n: 1067319615137103482915038219459747924220307325265652713032286418357897380358179906138657374707664296589285994569226664155326395755834942160694385584906844971825901335719106590698623471614007
m: 100000000000000000000000000000000000000
deg: 5
c5: 6800
c0: -23
skew: 0.32
type: snfs
lss: 1
rlim: 11900000
alim: 11900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11900000/11900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5950000, 12350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2261372 x 2261620
Total sieving time: 594.73 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11900000,11900000,28,28,55,55,2.5,2.5,100000
total time: 594.73 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJanuary 6, 2010 14:42:59 UTC 2010 年 1 月 6 日 (水) 23 時 42 分 59 秒 (日本時間)
4511e6154 / 3963Dmitry DomanovJanuary 4, 2010 12:23:20 UTC 2010 年 1 月 4 日 (月) 21 時 23 分 20 秒 (日本時間)

68×10196-239

c156

name 名前Wataru Sakai
date 日付January 16, 2010 02:48:50 UTC 2010 年 1 月 16 日 (土) 11 時 48 分 50 秒 (日本時間)
composite number 合成数
107989192694668547600736858897153877720863570172105826908182493849407641780365688250822651740589927504995980104833346089483550952058447151147757460337102901<156>
prime factors 素因数
2950439730067025439886860134543<31>
composite cofactor 合成数の残り
36601050207595783056463823476144057320818941944315348837326649296262448052444428612534368883007563163705590874642292693267707<125>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=872032561
Step 1 took 52309ms
Step 2 took 17273ms
********** Factor found in step 2: 2950439730067025439886860134543
Found probable prime factor of 31 digits: 2950439730067025439886860134543
Composite cofactor 36601050207595783056463823476144057320818941944315348837326649296262448052444428612534368883007563163705590874642292693267707 has 125 digits
software ソフトウェア
GMP-ECM 6.2.1

c125

name 名前Erik Branger
date 日付January 27, 2010 05:58:13 UTC 2010 年 1 月 27 日 (水) 14 時 58 分 13 秒 (日本時間)
composite number 合成数
36601050207595783056463823476144057320818941944315348837326649296262448052444428612534368883007563163705590874642292693267707<125>
prime factors 素因数
49048950061795794340457973691105309986065137<44>
746214754066760849729481357929582327434558070834913880105118038570073595210237611<81>
factorization results 素因数分解の結果
Number: 75553_196
N = 36601050207595783056463823476144057320818941944315348837326649296262448052444428612534368883007563163705590874642292693267707 (125 digits)
Divisors found:
r1=49048950061795794340457973691105309986065137 (pp44)
r2=746214754066760849729481357929582327434558070834913880105118038570073595210237611 (pp81)
Version: Msieve v. 1.43
Total time: 47.77 hours.
Factorization parameters were as follows:
n: 36601050207595783056463823476144057320818941944315348837326649296262448052444428612534368883007563163705590874642292693267707
Y0: -1486677086357847150789477
Y1: 21979542601217
c0: -48322279483274302603658344653680
c1: -266292275006214097186940228
c2: 1218361242603675494380
c3: 3232412391882045
c4: -15878307846
c5: 5040
skew: 422443.69 
type: gnfs
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [2750000, 5950000)
Relations: 11130333
Relations in full relation-set: 1676950 relations
Pruned matrix : 968808 x 969034
Polynomial selection time: 0.00 hours.
Total sieving time: 44.70 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.48 hours.
time per square root: 0.37 hours.
Prototype def-par.txt line would be: gnfs,124,5,65,2000,1e-05,0.28,250,20,50000,3600,5500000,5500000,27,27,53,53,2.5,2.5,100000
total time: 47.77 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
351e6118Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJanuary 17, 2010 05:00:04 UTC 2010 年 1 月 17 日 (日) 14 時 0 分 4 秒 (日本時間)

68×10197-239

c177

composite cofactor 合成数の残り
105279580879072546244454023760847509625372558426629928816993090112521649338875123308594293373312912459104074982907810394386821256135271803172127968642686584000688720727741632629<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJanuary 18, 2010 14:41:00 UTC 2010 年 1 月 18 日 (月) 23 時 41 分 0 秒 (日本時間)

68×10198-239

c152

composite cofactor 合成数の残り
23967027541594212376952923159765941302317048580976825982443552180848656240907785972436767532747919693573886466010608946225812542357393946679416251133687<152>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJanuary 17, 2010 05:51:05 UTC 2010 年 1 月 17 日 (日) 14 時 51 分 5 秒 (日本時間)

68×10200-239

c173

name 名前Robert Backstrom
date 日付October 15, 2012 01:09:59 UTC 2012 年 10 月 15 日 (月) 10 時 9 分 59 秒 (日本時間)
composite number 合成数
53959270049839849726066886178281928311276943581882465706652550373893182605195459813213807490036025490325586019873693532502080833574983594464811582312737392546657364480928367<173>
prime factors 素因数
101469760028937033974448547266378775699520110485371<51>
531776856813811373493148756985684670591494477346675998700738944933108756720469401402110067187769235770290316919431235998877<123>
factorization results 素因数分解の結果
Number: n
N=53959270049839849726066886178281928311276943581882465706652550373893182605195459813213807490036025490325586019873693532502080833574983594464811582312737392546657364480928367
  ( 173 digits)
SNFS difficulty: 201 digits.
Divisors found:

Mon Oct 15 10:33:43 2012  prp51 factor: 101469760028937033974448547266378775699520110485371
Mon Oct 15 10:33:43 2012  prp123 factor: 531776856813811373493148756985684670591494477346675998700738944933108756720469401402110067187769235770290316919431235998877
Mon Oct 15 10:33:43 2012  elapsed time 07:39:25 (Msieve 1.44 - dependency 4)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.089).
Factorization parameters were as follows:
name: KA_75553_200
n: 53959270049839849726066886178281928311276943581882465706652550373893182605195459813213807490036025490325586019873693532502080833574983594464811582312737392546657364480928367
m: 10000000000000000000000000000000000000000
#  c173, diff: 201.83
skew: 0.805
deg: 5
c5: 68
c0: -23
# Murphy_E = 1.236e-11
type: snfs
lss: 1
rlim: 16200000
alim: 16200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16200000/16200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34700000)
Primes: RFBsize:1043113, AFBsize:1043890,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9077932 hash collisions in 61713964 relations (54969043 unique)
Msieve: matrix is 2129616 x 2129841 (601.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16200000,16200000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 3, 2010 15:00:00 UTC 2010 年 1 月 4 日 (月) 0 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJanuary 18, 2010 14:40:36 UTC 2010 年 1 月 18 日 (月) 23 時 40 分 36 秒 (日本時間)

68×10201-239

c185

composite cofactor 合成数の残り
56729294713372205437186275536085997101385230170318430821605520978580451258420980552262077024074754624799933804581699298631359952046867005550123691606110905169482050608505003948285418819<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 13, 2013 11:10:22 UTC 2013 年 1 月 13 日 (日) 20 時 10 分 22 秒 (日本時間)
403e61200Dmitry DomanovJanuary 14, 2013 15:00:51 UTC 2013 年 1 月 15 日 (火) 0 時 0 分 51 秒 (日本時間)
4511e61000 / 4150Dmitry DomanovJanuary 19, 2013 23:46:48 UTC 2013 年 1 月 20 日 (日) 8 時 46 分 48 秒 (日本時間)

68×10202-239

c194

name 名前Dmitry Domanov
date 日付January 21, 2013 13:30:18 UTC 2013 年 1 月 21 日 (月) 22 時 30 分 18 秒 (日本時間)
composite number 合成数
43157175641225680637279911142736537101557850262060521949763235840766462990736371970526022935568866603206286598035037685273851020764431319727899544393841113770742507744234504656290606901909676989<194>
prime factors 素因数
2965093912688109845518628461040120053<37>
composite cofactor 合成数の残り
14555078831246876065623638824536107503420418340649272013486626437336704502037286184258974524155733837581285661014163063725412541196035787474058041019885587113<158>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1168572739
Step 1 took 116261ms
Step 2 took 33335ms
********** Factor found in step 2: 2965093912688109845518628461040120053
Found probable prime factor of 37 digits: 2965093912688109845518628461040120053

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 13, 2013 11:10:33 UTC 2013 年 1 月 13 日 (日) 20 時 10 分 33 秒 (日本時間)
403e61200Dmitry DomanovJanuary 14, 2013 15:01:03 UTC 2013 年 1 月 15 日 (火) 0 時 1 分 3 秒 (日本時間)
4511e61200 / 4150Dmitry DomanovJanuary 19, 2013 22:50:21 UTC 2013 年 1 月 20 日 (日) 7 時 50 分 21 秒 (日本時間)

68×10203-239

c190

composite cofactor 合成数の残り
1192782118137948331859060071202702327105003681545135529827502009001548056494035336204154639309486092620140943668028502374880460254078214756996069678023007794298976334871196517032171891317293<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 13, 2013 11:10:41 UTC 2013 年 1 月 13 日 (日) 20 時 10 分 41 秒 (日本時間)
403e61200Dmitry DomanovJanuary 14, 2013 15:01:19 UTC 2013 年 1 月 15 日 (火) 0 時 1 分 19 秒 (日本時間)
4511e61200 / 4150Dmitry DomanovJanuary 19, 2013 22:50:09 UTC 2013 年 1 月 20 日 (日) 7 時 50 分 9 秒 (日本時間)

68×10204-239

c163

composite cofactor 合成数の残り
1821224744830951369250261889126015766085846990726260281118291113995611322775697222662751873481786330470820398198919951976168532548334789778906275959335677885794353<163>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 12, 2013 05:44:41 UTC 2013 年 1 月 12 日 (土) 14 時 44 分 41 秒 (日本時間)
403e63000Warut RoonguthaiJanuary 12, 2013 05:44:41 UTC 2013 年 1 月 12 日 (土) 14 時 44 分 41 秒 (日本時間)

68×10205-239

c172

name 名前Warut Roonguthai
date 日付January 10, 2013 14:32:10 UTC 2013 年 1 月 10 日 (木) 23 時 32 分 10 秒 (日本時間)
composite number 合成数
1947106852628695955034461909850288232365666934435111460486125198950739370779019676191899510303611490370323789312119528402562061140507299272287687028567165346157066467626051<172>
prime factors 素因数
43445153045306809262680928840453<32>
composite cofactor 合成数の残り
44817585303431988513838052909420836049098438957224885976543268045496338228497314623026640384029764810346943721638759904698194899374044236967<140>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=477520588
Step 1 took 7800ms
Step 2 took 5834ms
********** Factor found in step 2: 43445153045306809262680928840453
Found probable prime factor of 32 digits: 43445153045306809262680928840453
Composite cofactor 44817585303431988513838052909420836049098438957224885976543268045496338228497314623026640384029764810346943721638759904698194899374044236967 has 140 digits
software ソフトウェア
GMP-ECM 6.3

c140

name 名前Erik Branger
date 日付August 29, 2016 20:12:40 UTC 2016 年 8 月 30 日 (火) 5 時 12 分 40 秒 (日本時間)
composite number 合成数
44817585303431988513838052909420836049098438957224885976543268045496338228497314623026640384029764810346943721638759904698194899374044236967<140>
prime factors 素因数
14496137039347268388071883468790180293001065327696624667655137611481<68>
3091691612860886238137093218168605909751925285326449128385454933184628607<73>
factorization results 素因数分解の結果
Number: 75553_205
N = 44817585303431988513838052909420836049098438957224885976543268045496338228497314623026640384029764810346943721638759904698194899374044236967 (140 digits)
Divisors found:
r1=14496137039347268388071883468790180293001065327696624667655137611481 (pp68)
r2=3091691612860886238137093218168605909751925285326449128385454933184628607 (pp73)
Version: Msieve v. 1.51 (SVN 845)
Total time: 360.76 hours.
Factorization parameters were as follows:
# Murphy_E = 2.01252328e-11, selected by Maksym Voznyy
# selected by cado-nfs-2.2.0
n: 44817585303431988513838052909420836049098438957224885976543268045496338228497314623026640384029764810346943721638759904698194899374044236967
Y0: -1079234617449848775805788799
Y1: 138978739530602424641
c0: -12526385747084243563201924572360
c1: 1673824800948729944560742925
c2: 3142576511923806882900
c3: -321623209041424697
c4: -204001935616
c5: 276480
skew: 236375.46219
type: gnfs
# selected mechanically
rlim: 17800000
alim: 17800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 17800000/17800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23167510
Relations: 3389714 relations
Pruned matrix : 2137728 x 2137953
Polynomial selection time: 0.00 hours.
Total sieving time: 355.44 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 4.24 hours.
time per square root: 0.90 hours.
Prototype def-par.txt line would be: gnfs,139,5,65,2000,1e-05,0.28,250,20,50000,3600,17800000,17800000,28,28,55,55,2.6,2.6,100000
total time: 360.76 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 11, 2013 18:18:10 UTC 2013 年 1 月 12 日 (土) 3 時 18 分 10 秒 (日本時間)
403e64700Warut RoonguthaiJanuary 11, 2013 18:18:10 UTC 2013 年 1 月 12 日 (土) 3 時 18 分 10 秒 (日本時間)
4511e63900850Serge BatalovNovember 8, 2013 01:46:12 UTC 2013 年 11 月 8 日 (金) 10 時 46 分 12 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:09:19 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 19 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:28 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 28 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:21 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 21 秒 (日本時間)

68×10206-239

c163

name 名前Warut Roonguthai
date 日付January 12, 2013 09:45:50 UTC 2013 年 1 月 12 日 (土) 18 時 45 分 50 秒 (日本時間)
composite number 合成数
3591657921999308362706460325875160323882470745039198403945619071641108491375108923288963580648202827114452275154999774682904956454003693700395104621055828980779081<163>
prime factors 素因数
13365619631726277656254421212341113518919<41>
268723637284552646808692668455881003172491531060425160037034080441232115360314163888950852425526639049063511977541696341999<123>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1806155371
Step 1 took 23541ms
********** Factor found in step 1: 13365619631726277656254421212341113518919
Found probable prime factor of 41 digits: 13365619631726277656254421212341113518919
Probable prime cofactor 268723637284552646808692668455881003172491531060425160037034080441232115360314163888950852425526639049063511977541696341999 has 123 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)

68×10207-239

c144

name 名前Maksym Voznyy
date 日付January 7, 2017 03:54:30 UTC 2017 年 1 月 7 日 (土) 12 時 54 分 30 秒 (日本時間)
composite number 合成数
519578121218195779164590917196535317615044884850091362761216267025807894107426802986271699250789553914407482039808319171380975967463493699731047<144>
prime factors 素因数
5162426362465100542667738090179296099873521<43>
100646107999900458379931354867459142973209563154263183668555978214725646182515452555937744564258248407<102>
factorization results 素因数分解の結果
# Murphy_E = 1.31844783e-11, selected by Maksym Voznyy
# selected by cado-nfs-2.2.0
n: 519578121218195779164590917196535317615044884850091362761216267025807894107426802986271699250789553914407482039808319171380975967463493699731047
Y0: -7787337683214383252689876207
Y1: 14752614123057987187
c0: -9487465188987026647026084177335700
c1: -5429592320567878366644325110
c2: 20701991141922589434565
c3: -128272621548140131
c4: 262683642642
c5: 108360
skew: 800314.92031
type: gnfs

Msieve v. 1.52 (SVN 939)
random seeds: a32214c0 8d8c35e3
factoring 519578121218195779164590917196535317615044884850091362761216267025807894107426802986271699250789553914407482039808319171380975967463493699731047 (144 digits)
searching for 15-digit factors
commencing number field sieve (144-digit input)
R0: -7787337683214383252689876207
R1: 14752614123057987187
A0: -9487465188987026647026084177335700
A1: -5429592320567878366644325110
A2: 20701991141922589434565
A3: -128272621548140131
A4: 262683642642
A5: 108360
skew 800314.92, size 6.453e-014, alpha -7.033, combined = 1.318e-011 rroots = 3

commencing relation filtering
estimated available RAM is 7934.2 MB
commencing duplicate removal, pass 1
found 5577579 hash collisions in 42046822 relations
added 12 free relations
commencing duplicate removal, pass 2
found 3601635 duplicates and 38445198 unique relations
memory use: 165.2 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 1378.0 MB
reading all ideals from disk
memory use: 1298.0 MB
keeping 41129920 ideals with weight <= 200, target excess is 207433
commencing in-memory singleton removal
begin with 38445198 relations and 41129920 unique ideals
reduce to 15499168 relations and 14371245 ideals in 21 passes
max relations containing the same ideal: 113
removing 2930546 relations and 2530546 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 12568622 relations and 14371245 unique ideals
reduce to 12109492 relations and 11365754 ideals in 12 passes
max relations containing the same ideal: 95
removing 2206083 relations and 1806083 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9903409 relations and 11365754 unique ideals
reduce to 9566146 relations and 9210843 ideals in 12 passes
max relations containing the same ideal: 81
removing 784392 relations and 669712 ideals in 114680 cliques
commencing in-memory singleton removal
begin with 8781754 relations and 9210843 unique ideals
reduce to 8734396 relations and 8493213 ideals in 9 passes
max relations containing the same ideal: 74
relations with 0 large ideals: 643
relations with 1 large ideals: 2611
relations with 2 large ideals: 38379
relations with 3 large ideals: 268948
relations with 4 large ideals: 984420
relations with 5 large ideals: 2050197
relations with 6 large ideals: 2527128
relations with 7+ large ideals: 2862070
commencing 2-way merge
reduce to 5014329 relation sets and 4773146 unique ideals
commencing full merge
memory use: 563.7 MB
found 2642260 cycles, need 2609346
weight of 2609346 cycles is about 182744736 (70.03/cycle)
distribution of cycle lengths:
1 relations: 342361
2 relations: 318842
3 relations: 317068
4 relations: 287561
5 relations: 250478
6 relations: 221073
7 relations: 190257
8 relations: 159290
9 relations: 131510
10+ relations: 390906
heaviest cycle: 19 relations
commencing cycle optimization
start with 14128797 relations
pruned 262081 relations
memory use: 496.2 MB
distribution of cycle lengths:
1 relations: 342361
2 relations: 325396
3 relations: 326449
4 relations: 292561
5 relations: 254644
6 relations: 222650
7 relations: 190774
8 relations: 158449
9 relations: 130084
10+ relations: 365978
heaviest cycle: 19 relations
RelProcTime: 1300
elapsed time 00:21:42

commencing linear algebra
read 2605483 cycles
cycles contain 8511363 unique relations
read 8511363 relations
using 20 quadratic characters above 536870570
building initial matrix
memory use: 1046.6 MB
read 2605483 cycles
matrix is 2605303 x 2605483 (756.6 MB) with weight 248269238 (95.29/col)
sparse part has weight 177506496 (68.13/col)
filtering completed in 1 passes
matrix is 2605303 x 2605483 (756.6 MB) with weight 248269238 (95.29/col)
sparse part has weight 177506496 (68.13/col)
matrix starts at (0, 0)
matrix is 2605303 x 2605483 (756.6 MB) with weight 248269238 (95.29/col)
sparse part has weight 177506496 (68.13/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2605255 x 2605483 (724.4 MB) with weight 198559924 (76.21/col)
sparse part has weight 174267251 (66.88/col)
using block size 8192 and superblock size 589824 for processor cache size 6144 kB
commencing Lanczos iteration (6 threads)
memory use: 608.5 MB
linear algebra at 0.1%, ETA 6h39m
checkpointing every 390000 dimensions
lanczos halted after 41200 iterations (dim = 2605255)
recovered 31 nontrivial dependencies
BLanczosTime: 23225
elapsed time 06:27:09

commencing square root phase
reading relations for dependency 1
read 1302851 cycles
cycles contain 4257020 unique relations
read 4257020 relations
multiplying 4257020 relations
multiply complete, coefficients have about 217.00 million bits
initial square root is modulo 61310261
sqrtTime: 1751
prp43 factor: 5162426362465100542667738090179296099873521
prp102 factor: 100646107999900458379931354867459142973209563154263183668555978214725646182515452555937744564258248407
elapsed time 00:29:14

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 11, 2013 14:44:33 UTC 2013 年 1 月 11 日 (金) 23 時 44 分 33 秒 (日本時間)
403e63000Warut RoonguthaiJanuary 11, 2013 14:44:33 UTC 2013 年 1 月 11 日 (金) 23 時 44 分 33 秒 (日本時間)
4511e63760850Serge BatalovNovember 8, 2013 17:09:55 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 55 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:08 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 8 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:51 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 51 秒 (日本時間)
710Ignacio SantosDecember 25, 2015 21:51:33 UTC 2015 年 12 月 26 日 (土) 6 時 51 分 33 秒 (日本時間)

68×10208-239

c174

name 名前Warut Roonguthai
date 日付January 12, 2013 17:30:53 UTC 2013 年 1 月 13 日 (日) 2 時 30 分 53 秒 (日本時間)
composite number 合成数
636471627846552870121612115849386713059801878196829322192997450112083658986643220613568544992812922965754189161929859152865414272709074534609775780653582837933109564292738517<174>
prime factors 素因数
931294436134934134502529925369254580813<39>
composite cofactor 合成数の残り
683426855300502685389020223505596947613902478994569737987170665150649301081159327371277448641641291945967801910005266237041721870122409<135>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=355955282
Step 1 took 27550ms
Step 2 took 12355ms
********** Factor found in step 2: 931294436134934134502529925369254580813
Found probable prime factor of 39 digits: 931294436134934134502529925369254580813
Composite cofactor 683426855300502685389020223505596947613902478994569737987170665150649301081159327371277448641641291945967801910005266237041721870122409 has 135 digits
software ソフトウェア
GMP-ECM 6.3

c135

name 名前Warut Roonguthai
date 日付January 15, 2013 17:27:42 UTC 2013 年 1 月 16 日 (水) 2 時 27 分 42 秒 (日本時間)
composite number 合成数
683426855300502685389020223505596947613902478994569737987170665150649301081159327371277448641641291945967801910005266237041721870122409<135>
prime factors 素因数
683916990314251910023882607482221483833<39>
999283341369361195002117085424141910218833966240305672271224706576049865534501212291647522892273<96>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=290615349
Step 1 took 14430ms
Step 2 took 8611ms
********** Factor found in step 2: 683916990314251910023882607482221483833
Found probable prime factor of 39 digits: 683916990314251910023882607482221483833
Probable prime cofactor 999283341369361195002117085424141910218833966240305672271224706576049865534501212291647522892273 has 96 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 12, 2013 17:29:20 UTC 2013 年 1 月 13 日 (日) 2 時 29 分 20 秒 (日本時間)
403e61200 / 1964Dmitry DomanovJanuary 14, 2013 15:01:48 UTC 2013 年 1 月 15 日 (火) 0 時 1 分 48 秒 (日本時間)

68×10210-239

c200

name 名前Warut Roonguthai
date 日付January 10, 2013 15:40:53 UTC 2013 年 1 月 11 日 (金) 0 時 40 分 53 秒 (日本時間)
composite number 合成数
42598199914540617302103413499483937729620970780211985196222249902606447096449400906103375992663475174812789241500570584104241663663715506180887321533003995641542140140728836506179939760283219673856939<200>
prime factors 素因数
1671175119887072648423044324614306634003981<43>
25489967752403549337285700955917146259689912160905148107850265258067619132909330139315341409409590594640962189850529759951011892323106392366272892635741127319<158>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=774114090
Step 1 took 12184ms
Step 2 took 6973ms
********** Factor found in step 2: 1671175119887072648423044324614306634003981
Found probable prime factor of 43 digits: 1671175119887072648423044324614306634003981
Probable prime cofactor 25489967752403549337285700955917146259689912160905148107850265258067619132909330139315341409409590594640962189850529759951011892323106392366272892635741127319 has 158 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)

68×10211-239

c180

composite cofactor 合成数の残り
280412804824023066822022776359087908242624298115371312042085766974978331617253693837829352455121121893623270287116596812576731041889678903679011534492939375593348812577768841184937<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 13, 2013 11:11:12 UTC 2013 年 1 月 13 日 (日) 20 時 11 分 12 秒 (日本時間)
403e61200Dmitry DomanovJanuary 14, 2013 15:01:57 UTC 2013 年 1 月 15 日 (火) 0 時 1 分 57 秒 (日本時間)
4511e61200 / 4150Dmitry DomanovJanuary 19, 2013 22:49:52 UTC 2013 年 1 月 20 日 (日) 7 時 49 分 52 秒 (日本時間)

68×10215-239

c193

name 名前Warut Roonguthai
date 日付January 10, 2013 23:09:35 UTC 2013 年 1 月 11 日 (金) 8 時 9 分 35 秒 (日本時間)
composite number 合成数
5546761183522679010409627605541942050651243428152544800730277543653425819744708516727945589491848909841723956791119075110452745634696525790927317363559841181704241867827294244059126313497027501<193>
prime factors 素因数
2258400379795902719540474372969<31>
composite cofactor 合成数の残り
2456057496777410950557016514150458846006708669503529036519184539897290036822253132091472078893120812155678392493307326317126845877416875499441404134583859909470629<163>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3143944784
Step 1 took 12464ms
Step 2 took 7129ms
********** Factor found in step 2: 2258400379795902719540474372969
Found probable prime factor of 31 digits: 2258400379795902719540474372969
Composite cofactor 2456057496777410950557016514150458846006708669503529036519184539897290036822253132091472078893120812155678392493307326317126845877416875499441404134583859909470629 has 163 digits
software ソフトウェア
GMP-ECM 6.3

c163

name 名前Warut Roonguthai
date 日付January 12, 2013 21:22:44 UTC 2013 年 1 月 13 日 (日) 6 時 22 分 44 秒 (日本時間)
composite number 合成数
2456057496777410950557016514150458846006708669503529036519184539897290036822253132091472078893120812155678392493307326317126845877416875499441404134583859909470629<163>
prime factors 素因数
269178950935079935343225017239650393412994271<45>
32651270156189600017366720680615726540385166195696037931<56>
279445649644862521892100853489332048695021353734279219936194929<63>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1092738438
Step 1 took 23681ms
Step 2 took 13276ms
********** Factor found in step 2: 269178950935079935343225017239650393412994271
Found probable prime factor of 45 digits: 269178950935079935343225017239650393412994271
Composite cofactor 9124255400526314559804169726624629025533683897496016428711334436560899231252973477467899325663134835601908225393851899 has 118 digits

N = 9124255400526314559804169726624629025533683897496016428711334436560899231252973477467899325663134835601908225393851899 (118 digits)
Divisors found:
r1=32651270156189600017366720680615726540385166195696037931 (pp56)
r2=279445649644862521892100853489332048695021353734279219936194929 (pp63)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 6.92 hours.
Factorization parameters were as follows:
n: 9124255400526314559804169726624629025533683897496016428711334436560899231252973477467899325663134835601908225393851899
Y0: -55115614521681410936766
Y1: 3286097885359
c0: 3729090341822003441524220749
c1: -449759471928291749993362
c2: -14770024950038861337
c3: 143306670407854
c4: 1194763796
c5: 17940
skew: 60736.82  
type: gnfs
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10354414
Relations: 952652 relations
Pruned matrix : 558542 x 558768
Polynomial selection time: 0.00 hours.
Total sieving time: 6.63 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.22 hours.
time per square root: 0.03 hours.
Prototype def-par.txt line would be: gnfs,117,5,63,2000,2.6e-05,0.28,250,20,50000,3600,3800000,3800000,27,27,53,53,2.5,2.5,100000
total time: 6.92 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)

68×10216-239

c171

name 名前Dmitry Domanov
date 日付January 14, 2013 06:12:27 UTC 2013 年 1 月 14 日 (月) 15 時 12 分 27 秒 (日本時間)
composite number 合成数
173899444649813940389260327274506279775417433085597328666461521087808138491484037883005733414460484163335798310264091386523179776611463322393545796540611078675693891127677<171>
prime factors 素因数
33935764099138690227987114987024259829<38>
5124370977526556155770282775731456553165490506398036125303303843232646752922476130052697223775655672730694619902076276625866525323113<133>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=999125157
Step 1 took 19508ms
Step 2 took 8250ms
********** Factor found in step 2: 33935764099138690227987114987024259829
Found probable prime factor of 38 digits: 33935764099138690227987114987024259829

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 12, 2013 14:18:34 UTC 2013 年 1 月 12 日 (土) 23 時 18 分 34 秒 (日本時間)
403e63000Warut RoonguthaiJanuary 12, 2013 14:18:34 UTC 2013 年 1 月 12 日 (土) 23 時 18 分 34 秒 (日本時間)

68×10219-239

c195

composite cofactor 合成数の残り
862975738180475374368533637038828758175305349803853520877150560555852466499289849742636567161227294553250017436551781326490488056653042433817376811847379884076172372495983384794916826594147482141<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 13, 2013 11:11:23 UTC 2013 年 1 月 13 日 (日) 20 時 11 分 23 秒 (日本時間)
403e61200Dmitry DomanovJanuary 14, 2013 15:02:09 UTC 2013 年 1 月 15 日 (火) 0 時 2 分 9 秒 (日本時間)
4511e61000 / 4150Dmitry DomanovJanuary 18, 2013 09:29:08 UTC 2013 年 1 月 18 日 (金) 18 時 29 分 8 秒 (日本時間)

68×10220-239

c153

name 名前Erik Branger
date 日付November 12, 2017 08:50:53 UTC 2017 年 11 月 12 日 (日) 17 時 50 分 53 秒 (日本時間)
composite number 合成数
118969465660728390114791989522216324142883714280523500332017172682375137632794684310715857521033071596250736733873913134834157379221569758497816254738323<153>
prime factors 素因数
49164360064635483331368687100739152753184162352911128193951156607347<68>
2419831469469376058290654800405094128095729134301756170263319112117683265477014112609<85>
factorization results 素因数分解の結果
Number: 75553_220
N = 118969465660728390114791989522216324142883714280523500332017172682375137632794684310715857521033071596250736733873913134834157379221569758497816254738323 (153 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=49164360064635483331368687100739152753184162352911128193951156607347 (pp68)
r2=2419831469469376058290654800405094128095729134301756170263319112117683265477014112609 (pp85)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 76.32 hours.
Factorization parameters were as follows:
n: 118969465660728390114791989522216324142883714280523500332017172682375137632794684310715857521033071596250736733873913134834157379221569758497816254738323
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 68
c0: -23
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 67108864
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/67108864
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 25656856
Relations: 8282400 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 41.96 hours.
Total relation processing time: 0.24 hours.
Pruned matrix : 7023530 x 7023755
Matrix solve time: 33.94 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,67108864,29,26,58,52,2.8,2.8,100000
total time: 76.32 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.15063-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 11, 2013 23:21:20 UTC 2013 年 1 月 12 日 (土) 8 時 21 分 20 秒 (日本時間)
403e67100Warut RoonguthaiJanuary 11, 2013 23:21:20 UTC 2013 年 1 月 12 日 (土) 8 時 21 分 20 秒 (日本時間)
4511e62850850Serge BatalovNovember 8, 2013 17:11:29 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 29 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:25 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 25 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:27 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 27 秒 (日本時間)
700Ignacio SantosDecember 25, 2015 10:14:11 UTC 2015 年 12 月 25 日 (金) 19 時 14 分 11 秒 (日本時間)

68×10221-239

c188

composite cofactor 合成数の残り
27083674491113398136142059508605725434772587007384009533634791025889763740432500693702629492198962224138741461876377484923377176026240185722159002067814670072277150589041356613900442898531<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 13, 2013 11:11:47 UTC 2013 年 1 月 13 日 (日) 20 時 11 分 47 秒 (日本時間)
403e61200Dmitry DomanovJanuary 14, 2013 15:02:24 UTC 2013 年 1 月 15 日 (火) 0 時 2 分 24 秒 (日本時間)
4511e61000 / 4150Dmitry DomanovJanuary 18, 2013 09:28:45 UTC 2013 年 1 月 18 日 (金) 18 時 28 分 45 秒 (日本時間)

68×10224-239

c127

name 名前Warut Roonguthai
date 日付January 14, 2013 16:28:40 UTC 2013 年 1 月 15 日 (火) 1 時 28 分 40 秒 (日本時間)
composite number 合成数
2729248620180006040416215641634085651782671133711553416042611713792041323935690040830767596427570624811670614341146832771404997<127>
prime factors 素因数
3035181671485508672989574691544157535209759<43>
899204369155349488930534024474042642119856437779956971995311266710834044750027805083<84>
factorization results 素因数分解の結果
N = 2729248620180006040416215641634085651782671133711553416042611713792041323935690040830767596427570624811670614341146832771404997 (127 digits)
Divisors found:
r1=3035181671485508672989574691544157535209759 (pp43)
r2=899204369155349488930534024474042642119856437779956971995311266710834044750027805083 (pp84)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 19.08 hours.
Factorization parameters were as follows:
n: 2729248620180006040416215641634085651782671133711553416042611713792041323935690040830767596427570624811670614341146832771404997
Y0: -4303962513623944685390157
Y1: 35411310040643
c0: -5658143173518110347211448403952
c1: 163670863353390711479695020
c2: 204385946644965064400
c3: -1081242864903417
c4: -655723518
c5: 1848
skew: 522614.26 
type: gnfs
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 18877599
Relations: 2289792 relations
Pruned matrix : 1257336 x 1257571
Polynomial selection time: 0.00 hours.
Total sieving time: 17.71 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 1.23 hours.
time per square root: 0.08 hours.
Prototype def-par.txt line would be: gnfs,126,5,65,2000,1e-05,0.28,250,20,50000,3600,6100000,6100000,28,28,55,55,2.5,2.5,100000
total time: 19.08 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)

68×10225-239

c220

name 名前Warut Roonguthai
date 日付January 11, 2013 01:29:43 UTC 2013 年 1 月 11 日 (金) 10 時 29 分 43 秒 (日本時間)
composite number 合成数
1665257687239676449247439439781845365591529774525823383602320203535631041196736457371448045147878678434846829720373112739586194729699412906055638561304539362663272087849395857980065445116890192002007321207465614693998737<220>
prime factors 素因数
519681803532177802606797211776979<33>
3204379441268173169948277829551782670536538884929168656779321721881880648491924804119603601083554617656704629709296644375885332912238690733869202092712692218411100627259193369403725368203<187>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4284076386
Step 1 took 13993ms
Step 2 took 7863ms
********** Factor found in step 2: 519681803532177802606797211776979
Found probable prime factor of 33 digits: 519681803532177802606797211776979
Probable prime cofactor 3204379441268173169948277829551782670536538884929168656779321721881880648491924804119603601083554617656704629709296644375885332912238690733869202092712692218411100627259193369403725368203 has 187 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)

68×10226-239

c187

composite cofactor 合成数の残り
6012150512931018638683329813153948643593318613255292004358366905846784462383018435477221401072709744305986820946675187017470625096396554596238232499706853560988588280332185301596588777117<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 13, 2013 11:11:54 UTC 2013 年 1 月 13 日 (日) 20 時 11 分 54 秒 (日本時間)
403e61200Dmitry DomanovJanuary 14, 2013 15:02:35 UTC 2013 年 1 月 15 日 (火) 0 時 2 分 35 秒 (日本時間)
4511e61000 / 4150Dmitry DomanovJanuary 16, 2013 16:23:58 UTC 2013 年 1 月 17 日 (木) 1 時 23 分 58 秒 (日本時間)

68×10227-239

c210

composite cofactor 合成数の残り
302565889832650971536699304769667689503201352129758961726976679479727722284506660174082706739411953604122011503498935260229676454879040551828877590323798005561838157656528016323366797883557615194047718615524941<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 13, 2013 11:12:01 UTC 2013 年 1 月 13 日 (日) 20 時 12 分 1 秒 (日本時間)
403e61200Dmitry DomanovJanuary 14, 2013 15:02:44 UTC 2013 年 1 月 15 日 (火) 0 時 2 分 44 秒 (日本時間)
4511e61000 / 4150Dmitry DomanovJanuary 16, 2013 16:23:46 UTC 2013 年 1 月 17 日 (木) 1 時 23 分 46 秒 (日本時間)

68×10228-239

c222

name 名前Warut Roonguthai
date 日付January 11, 2013 02:07:40 UTC 2013 年 1 月 11 日 (金) 11 時 7 分 40 秒 (日本時間)
composite number 合成数
384857167648089231986789981468391621394588015127852352626489151750862123917929503301584937464700320467733668448843995753055877689494373351421167439655117719968948591781306136971446999618714080481115831327675672624351836151<222>
prime factors 素因数
308403691993818669291129702940673<33>
1247900649826860433937943755283574904488666930529530545051049075417840175621881200480651487384258280243940511194498941298001722505697170222376565318087975720983694512322996410367261439031287<190>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1089544991
Step 1 took 14165ms
Step 2 took 8049ms
********** Factor found in step 2: 308403691993818669291129702940673
Found probable prime factor of 33 digits: 308403691993818669291129702940673
Probable prime cofactor 1247900649826860433937943755283574904488666930529530545051049075417840175621881200480651487384258280243940511194498941298001722505697170222376565318087975720983694512322996410367261439031287 has 190 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)

68×10229-239

c161

composite cofactor 合成数の残り
30954885702929650731265200505079108717309256549450582759593593285314992027341462513760909976985699845958777681308288554991525489240778872379098864193308390297371<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 12, 2013 01:50:04 UTC 2013 年 1 月 12 日 (土) 10 時 50 分 4 秒 (日本時間)
403e63000Warut RoonguthaiJanuary 12, 2013 01:50:04 UTC 2013 年 1 月 12 日 (土) 10 時 50 分 4 秒 (日本時間)

68×10231-239

c176

composite cofactor 合成数の残り
66931914277839300600359183437779020664210174905459683605744383008356133336098812023407624764296411101819207395659207435887677164140700836078707324949423600069032172468457235269<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 12, 2013 21:10:49 UTC 2013 年 1 月 13 日 (日) 6 時 10 分 49 秒 (日本時間)
403e63700Warut RoonguthaiJanuary 12, 2013 21:10:49 UTC 2013 年 1 月 13 日 (日) 6 時 10 分 49 秒 (日本時間)

68×10232-239

c233

name 名前matsui
date 日付October 29, 2016 02:10:41 UTC 2016 年 10 月 29 日 (土) 11 時 10 分 41 秒 (日本時間)
composite number 合成数
75555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553<233>
prime factors 素因数
503044791355423095605676658508480271421508195968934297772104646671764087193<75>
150196477240079916990570314755346219618701854745421174171046229251218021424469201619278949314688456942829462161991339321991468663665365680904325538079449296521<159>
factorization results 素因数分解の結果
N=75555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553
  ( 233 digits)
SNFS difficulty: 235 digits.
Divisors found:
 r1=503044791355423095605676658508480271421508195968934297772104646671764087193 (pp75)
 r2=150196477240079916990570314755346219618701854745421174171046229251218021424469201619278949314688456942829462161991339321991468663665365680904325538079449296521 (pp159)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 
Scaled time: 81.50 units (timescale=2.039).
Factorization parameters were as follows:
n: 75555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553
m: 1000000000000000000000000000000000000000
deg: 6
c6: 17
c0: -575
skew: 1.80
# Murphy_E = 8.685e-13
type: snfs
lss: 1
rlim: 58000000
alim: 58000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
#qintsize: 400000
Factor base limits: 58000000/58000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved rational special-q in [29000000, 60100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 7475583 x 7475809
Total sieving time: 
Total relation processing time:
Matrix solve time: 
Time per square root:
Prototype def-par.txt line would be:
snfs,235.000,6,0,0,0,0,0,0,0,0,58000000,58000000,30,30,60,60,2.7,2.7,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 13, 2013 11:12:23 UTC 2013 年 1 月 13 日 (日) 20 時 12 分 23 秒 (日本時間)
403e61200Dmitry DomanovJanuary 14, 2013 15:03:57 UTC 2013 年 1 月 15 日 (火) 0 時 3 分 57 秒 (日本時間)
4511e628502000Dmitry DomanovJanuary 16, 2013 16:23:24 UTC 2013 年 1 月 17 日 (木) 1 時 23 分 24 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:16:27 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 27 秒 (日本時間)
5043e6420 / 6860Dmitry DomanovMarch 15, 2013 20:44:49 UTC 2013 年 3 月 16 日 (土) 5 時 44 分 49 秒 (日本時間)

68×10233-239

c204

composite cofactor 合成数の残り
462070516602369034286489721145871850037375044470315420031877086480157980617901605331191198793443878896869927823502240777797267274481998209689014873526082805418107876035767380155327303317616243029255581919<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 13, 2013 11:12:32 UTC 2013 年 1 月 13 日 (日) 20 時 12 分 32 秒 (日本時間)
403e61200Dmitry DomanovJanuary 14, 2013 15:04:05 UTC 2013 年 1 月 15 日 (火) 0 時 4 分 5 秒 (日本時間)
4511e61000 / 4150Dmitry DomanovJanuary 16, 2013 16:23:12 UTC 2013 年 1 月 17 日 (木) 1 時 23 分 12 秒 (日本時間)

68×10234-239

c219

name 名前Warut Roonguthai
date 日付January 11, 2013 09:05:35 UTC 2013 年 1 月 11 日 (金) 18 時 5 分 35 秒 (日本時間)
composite number 合成数
331975243348276783199649261450585216834281673372460346935795863308640166493415546050947233647858445180487183569038282721780531286613897805923106154015638353094426790688903106631419132405344132160051344240465590370448553<219>
prime factors 素因数
15971337645311882479038272447172132317<38>
20785688132122266660432033602684351481967703205929183885656906524127303220329449921645582916908261738775580148912962566618627989091095609331543977367323640882943137250937472906978109<182>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3659232123
Step 1 took 14149ms
Step 2 took 7831ms
********** Factor found in step 2: 15971337645311882479038272447172132317
Found probable prime factor of 38 digits: 15971337645311882479038272447172132317
Probable prime cofactor 20785688132122266660432033602684351481967703205929183885656906524127303220329449921645582916908261738775580148912962566618627989091095609331543977367323640882943137250937472906978109 has 182 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)

68×10235-239

c236

name 名前Dmitry Domanov
date 日付January 17, 2013 14:50:03 UTC 2013 年 1 月 17 日 (木) 23 時 50 分 3 秒 (日本時間)
composite number 合成数
75555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553<236>
prime factors 素因数
6991374423869739468325974707458998405906239<43>
10806967410813538896836515881730624994425668298481660892273901594504532176140470870132725675225850210974930871615851424766661065578338274774251448077822561604569151140029792597902725947179048927<194>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1300444670
Step 1 took 180220ms
Step 2 took 52186ms
********** Factor found in step 2: 6991374423869739468325974707458998405906239
Found probable prime factor of 43 digits: 6991374423869739468325974707458998405906239

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 13, 2013 11:12:39 UTC 2013 年 1 月 13 日 (日) 20 時 12 分 39 秒 (日本時間)
403e61200Dmitry DomanovJanuary 14, 2013 15:04:15 UTC 2013 年 1 月 15 日 (火) 0 時 4 分 15 秒 (日本時間)
4511e62000 / 4150Dmitry DomanovJanuary 16, 2013 16:22:58 UTC 2013 年 1 月 17 日 (木) 1 時 22 分 58 秒 (日本時間)

68×10236-239

c208

composite cofactor 合成数の残り
1828206563533733676184358182481331565801470573981737129801977769785664545434209339462211753176992162602930226045650858499641172267197402886914222971878624677350160563722917677182167366943676130998838397244881<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 13, 2013 11:12:59 UTC 2013 年 1 月 13 日 (日) 20 時 12 分 59 秒 (日本時間)
403e61200Dmitry DomanovJanuary 14, 2013 15:04:30 UTC 2013 年 1 月 15 日 (火) 0 時 4 分 30 秒 (日本時間)
4511e61000 / 4150Dmitry DomanovJanuary 16, 2013 16:22:40 UTC 2013 年 1 月 17 日 (木) 1 時 22 分 40 秒 (日本時間)

68×10237-239

c209

composite cofactor 合成数の残り
34332747293869130595280252091916265340447202681592754893175584153704682614707262436925101371143546798151310106729857206632882732807987796924938446480743588963713148114444682684003760575309801950068328848830159<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 13, 2013 11:13:05 UTC 2013 年 1 月 13 日 (日) 20 時 13 分 5 秒 (日本時間)
403e61200Dmitry DomanovJanuary 14, 2013 15:04:39 UTC 2013 年 1 月 15 日 (火) 0 時 4 分 39 秒 (日本時間)
4511e61000 / 4150Dmitry DomanovJanuary 15, 2013 14:57:40 UTC 2013 年 1 月 15 日 (火) 23 時 57 分 40 秒 (日本時間)

68×10238-239

c228

name 名前Warut Roonguthai
date 日付January 11, 2013 02:03:07 UTC 2013 年 1 月 11 日 (金) 11 時 3 分 7 秒 (日本時間)
composite number 合成数
103093931390545067327487901507413853424909449827814596340753631723954258689957928283867160494814067917964127843476880346157475674613787293949109068822414277914642695480905262028146691344878853423565158783578423432654514868010869<228>
prime factors 素因数
2844760390684308798513605561157158189<37>
composite cofactor 合成数の残り
36239934909156184156371764522418845498400822555742035972726067224165232776774320493250731625153872794061000823449185849053320726730669239807041688761493022361957257802718410956479830495830121<191>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3479217978
Step 1 took 11529ms
Step 2 took 6568ms
********** Factor found in step 2: 2844760390684308798513605561157158189
Found probable prime factor of 37 digits: 2844760390684308798513605561157158189
Composite cofactor 36239934909156184156371764522418845498400822555742035972726067224165232776774320493250731625153872794061000823449185849053320726730669239807041688761493022361957257802718410956479830495830121 has 191 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 13, 2013 11:13:12 UTC 2013 年 1 月 13 日 (日) 20 時 13 分 12 秒 (日本時間)
403e61200Dmitry DomanovJanuary 14, 2013 15:04:48 UTC 2013 年 1 月 15 日 (火) 0 時 4 分 48 秒 (日本時間)
4511e61000 / 4150Dmitry DomanovJanuary 15, 2013 14:57:27 UTC 2013 年 1 月 15 日 (火) 23 時 57 分 27 秒 (日本時間)

68×10239-239

c219

composite cofactor 合成数の残り
757671041623340673689263400409431950090106243838930976853306809177818552407414685075241922581397179496642435863586000281610724475952874589910635703816449454422832634167744327887893371157805103660750562004438046559256429<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 13, 2013 11:13:19 UTC 2013 年 1 月 13 日 (日) 20 時 13 分 19 秒 (日本時間)
403e61200Dmitry DomanovJanuary 14, 2013 15:04:57 UTC 2013 年 1 月 15 日 (火) 0 時 4 分 57 秒 (日本時間)
4511e61000 / 4150Dmitry DomanovJanuary 15, 2013 14:57:16 UTC 2013 年 1 月 15 日 (火) 23 時 57 分 16 秒 (日本時間)

68×10240-239

c230

composite cofactor 合成数の残り
13901045076755220954270288018662088544132235208246631165842763082632280263426822399121107102738984073679621445856248855746591509946638544234174260011282485382126349589121202933655187828076537948694802898895377829214568851031124251<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 13, 2013 11:13:25 UTC 2013 年 1 月 13 日 (日) 20 時 13 分 25 秒 (日本時間)
403e61200Dmitry DomanovJanuary 14, 2013 15:05:06 UTC 2013 年 1 月 15 日 (火) 0 時 5 分 6 秒 (日本時間)
4511e61000 / 4150Dmitry DomanovJanuary 15, 2013 14:57:03 UTC 2013 年 1 月 15 日 (火) 23 時 57 分 3 秒 (日本時間)

68×10241-239

c234

composite cofactor 合成数の残り
126905902399175363355995295443671463765578627285627160999779427650434899165113371547473812945111336734502218026183070136641094920178009797002414018818916951313013191221147665716168891766920663922046214541258902628914424853511859002829<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 13, 2013 11:13:47 UTC 2013 年 1 月 13 日 (日) 20 時 13 分 47 秒 (日本時間)
403e61200Dmitry DomanovJanuary 14, 2013 15:05:17 UTC 2013 年 1 月 15 日 (火) 0 時 5 分 17 秒 (日本時間)
4511e61000 / 4150Dmitry DomanovJanuary 15, 2013 14:56:40 UTC 2013 年 1 月 15 日 (火) 23 時 56 分 40 秒 (日本時間)

68×10242-239

c218

composite cofactor 合成数の残り
20945457396156529332179163925490057697321164325558991658219651027151946450903941579616590892254560895653133893715667736408672665570971883732232140043486367161637432091726094636878160194457608469552988092204901963900953<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 13, 2013 11:13:54 UTC 2013 年 1 月 13 日 (日) 20 時 13 分 54 秒 (日本時間)
403e61200Dmitry DomanovJanuary 14, 2013 15:05:26 UTC 2013 年 1 月 15 日 (火) 0 時 5 分 26 秒 (日本時間)
4511e61000 / 4150Dmitry DomanovJanuary 15, 2013 14:56:28 UTC 2013 年 1 月 15 日 (火) 23 時 56 分 28 秒 (日本時間)

68×10243-239

c242

name 名前Dmitry Domanov
date 日付January 16, 2013 12:54:30 UTC 2013 年 1 月 16 日 (水) 21 時 54 分 30 秒 (日本時間)
composite number 合成数
83028083028083028083028083028083028083028083028083028083028083028083028083028083028083028083028083028083028083028083028083028083028083028083028083028083028083028083028083028083028083028083028083028083028083028083028083028083028083028083028083<242>
prime factors 素因数
5764769714591813114772870408432121531933<40>
14402671249455453677093437105175473098762652490665411584127851956472880921569315615389700235974264402118168229192768026963166018498901734695944794226461483126619903652188718340875511042143004533439001551<203>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2181141009
Step 1 took 171760ms
Step 2 took 45450ms
********** Factor found in step 2: 5764769714591813114772870408432121531933
Found probable prime factor of 40 digits: 5764769714591813114772870408432121531933

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 13, 2013 11:14:06 UTC 2013 年 1 月 13 日 (日) 20 時 14 分 6 秒 (日本時間)
403e61200Dmitry DomanovJanuary 14, 2013 15:05:36 UTC 2013 年 1 月 15 日 (火) 0 時 5 分 36 秒 (日本時間)
4511e61000 / 4150Dmitry DomanovJanuary 15, 2013 14:56:17 UTC 2013 年 1 月 15 日 (火) 23 時 56 分 17 秒 (日本時間)

68×10245-239

c246

name 名前Warut Roonguthai
date 日付January 10, 2013 18:15:01 UTC 2013 年 1 月 11 日 (金) 3 時 15 分 1 秒 (日本時間)
composite number 合成数
251851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851<246>
prime factors 素因数
105878379650971858135584140036437321<36>
composite cofactor 合成数の残り
2378690084624279594753662431936079226169754148623429713719573363335060641273419735912205388348643214755819975250826613586659662590429416500803539076229051597975420156843710639326331352786475008255380366547186931<211>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3839795585
Step 1 took 13011ms
Step 2 took 4461ms
********** Factor found in step 2: 105878379650971858135584140036437321
Found probable prime factor of 36 digits: 105878379650971858135584140036437321
Composite cofactor 2378690084624279594753662431936079226169754148623429713719573363335060641273419735912205388348643214755819975250826613586659662590429416500803539076229051597975420156843710639326331352786475008255380366547186931 has 211 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 13, 2013 11:14:13 UTC 2013 年 1 月 13 日 (日) 20 時 14 分 13 秒 (日本時間)
403e61200Dmitry DomanovJanuary 14, 2013 15:05:46 UTC 2013 年 1 月 15 日 (火) 0 時 5 分 46 秒 (日本時間)
4511e61000 / 4150Dmitry DomanovJanuary 15, 2013 14:56:02 UTC 2013 年 1 月 15 日 (火) 23 時 56 分 2 秒 (日本時間)

68×10246-239

c183

composite cofactor 合成数の残り
353183369434932531747921396107747506807913462889113173047833004546581569272707047022290468912141351072029258805057960713525518096619798065363441363735998029644418636363203628276954607<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 13, 2013 11:14:19 UTC 2013 年 1 月 13 日 (日) 20 時 14 分 19 秒 (日本時間)
403e61200Dmitry DomanovJanuary 14, 2013 15:05:55 UTC 2013 年 1 月 15 日 (火) 0 時 5 分 55 秒 (日本時間)
4511e61000 / 4150Dmitry DomanovJanuary 15, 2013 14:55:50 UTC 2013 年 1 月 15 日 (火) 23 時 55 分 50 秒 (日本時間)

68×10247-239

c211

composite cofactor 合成数の残り
7385730998402515317440449402221247592343306401721164515758137282795009139815693479934465450383777632813901531615666881500905041437432022645194142333428697458318466031172211777680034155404589607330291261093089773<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 13, 2013 11:14:26 UTC 2013 年 1 月 13 日 (日) 20 時 14 分 26 秒 (日本時間)
403e61200Dmitry DomanovJanuary 14, 2013 15:06:04 UTC 2013 年 1 月 15 日 (火) 0 時 6 分 4 秒 (日本時間)
4511e61000 / 4150Dmitry DomanovJanuary 15, 2013 14:55:37 UTC 2013 年 1 月 15 日 (火) 23 時 55 分 37 秒 (日本時間)

68×10250-239

c246

name 名前Warut Roonguthai
date 日付January 10, 2013 14:37:14 UTC 2013 年 1 月 10 日 (木) 23 時 37 分 14 秒 (日本時間)
composite number 合成数
910669971862976310527746640900063345131866351146305827082521430876801084232954735684736769505412459840123851116173364778231773543162408614937933823755897592483222914599244947455681844053124200652736094538256843751799577609839521201870087571631559<246>
prime factors 素因数
3093555579252015426118202824729<31>
composite cofactor 合成数の残り
294376470224325295351349773087509640050180432923819184675592782367815786795827783997108100588471378177230655857987510063482646412426756554806953464978225404834971984068709892043409589162868965182091216460519411970271<216>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=930766238
Step 1 took 13026ms
Step 2 took 7192ms
********** Factor found in step 2: 3093555579252015426118202824729
Found probable prime factor of 31 digits: 3093555579252015426118202824729
Composite cofactor 294376470224325295351349773087509640050180432923819184675592782367815786795827783997108100588471378177230655857987510063482646412426756554806953464978225404834971984068709892043409589162868965182091216460519411970271 has 216 digits
software ソフトウェア
GMP-ECM 6.3

c216

name 名前Dmitry Domanov
date 日付January 14, 2013 06:11:57 UTC 2013 年 1 月 14 日 (月) 15 時 11 分 57 秒 (日本時間)
composite number 合成数
294376470224325295351349773087509640050180432923819184675592782367815786795827783997108100588471378177230655857987510063482646412426756554806953464978225404834971984068709892043409589162868965182091216460519411970271<216>
prime factors 素因数
6874145388438642195968524376184737652773<40>
77918920735107900914539205433113865849541<41>
549593328024156032430947769664356595948032024217244804866223376090953643153685076805442805612287431094956676920997023343375643146855447<135>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1377887094
Step 1 took 30390ms
Step 2 took 11084ms
********** Factor found in step 2: 77918920735107900914539205433113865849541
Found probable prime factor of 41 digits: 77918920735107900914539205433113865849541


Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1970678024
Step 1 took 23019ms
Step 2 took 8952ms
********** Factor found in step 2: 6874145388438642195968524376184737652773
Found probable prime factor of 40 digits: 6874145388438642195968524376184737652773

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 10, 2013 01:00:00 UTC 2013 年 1 月 10 日 (木) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 13, 2013 11:14:33 UTC 2013 年 1 月 13 日 (日) 20 時 14 分 33 秒 (日本時間)