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

name 名前Edwin Hall
date 日付December 22, 2020 02:07:35 UTC 2020 年 12 月 22 日 (火) 11 時 7 分 35 秒 (日本時間)
composite number 合成数
19679080877188396805625360837565901640779402319124101724800464001946992029038565273960216887747971505936617775536458083200637057761809197237407955245398888464568992601435421186209<179>
prime factors 素因数
19888764865115910214368573756758418535028337850155580106453<59>
989457163913919529041984951000655430389115445696199074870522986978771171461342595028301506656929052222408330920751671453<120>
factorization results 素因数分解の結果
p59 factor: 19888764865115910214368573756758418535028337850155580106453
p120 factor: 989457163913919529041984951000655430389115445696199074870522986978771171461342595028301506656929052222408330920751671453


Msieve v. 1.54 (SVN 1032M)
random seeds: 30b9d77a b04d33c3
factoring 19679080877188396805625360837565901640779402319124101724800464001946992029038565273960216887747971505936617775536458083200637057761809197237407955245398888464568992601435421186209 (179 digits)
searching for 15-digit factors
commencing number field sieve (179-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: -23
A1: 0
A2: 0
A3: 0
A4: 0
A5: 680
skew 1.00, size 1.517e-13, alpha 0.252, combined = 2.637e-11 rroots = 1

commencing relation filtering
estimated available RAM is 48213.5 MB
commencing duplicate removal, pass 1
found 1273352 hash collisions in 37838615 relations
added 728151 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 38566766 unique relations
memory use: 126.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1261.2 MB
keeping 40633610 ideals with weight <= 200, target excess is 206339
commencing in-memory singleton removal
begin with 38566766 relations and 40633610 unique ideals
reduce to 15315269 relations and 13500033 ideals in 15 passes
max relations containing the same ideal: 109
removing 2055261 relations and 1655261 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 13260008 relations and 13500033 unique ideals
reduce to 13033901 relations and 11611030 ideals in 9 passes
max relations containing the same ideal: 97
removing 1642342 relations and 1242342 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 11391559 relations and 11611030 unique ideals
reduce to 11220942 relations and 10192786 ideals in 9 passes
max relations containing the same ideal: 94
removing 1541365 relations and 1141365 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9679577 relations and 10192786 unique ideals
reduce to 9501535 relations and 8867323 ideals in 9 passes
max relations containing the same ideal: 85
removing 1501150 relations and 1106292 ideals in 394858 cliques
commencing in-memory singleton removal
begin with 8000385 relations and 8867323 unique ideals
reduce to 7792618 relations and 7545289 ideals in 8 passes
max relations containing the same ideal: 74
relations with 0 large ideals: 4380
relations with 1 large ideals: 11620
relations with 2 large ideals: 97126
relations with 3 large ideals: 434478
relations with 4 large ideals: 1172576
relations with 5 large ideals: 1960329
relations with 6 large ideals: 2133101
relations with 7+ large ideals: 1979008
commencing 2-way merge
reduce to 4810038 relation sets and 4562709 unique ideals
commencing full merge
memory use: 526.7 MB
found 2223851 cycles, need 2194909
weight of 2194909 cycles is about 197951003 (90.19/cycle)
distribution of cycle lengths:
1 relations: 180827
2 relations: 180304
3 relations: 188781
4 relations: 188176
5 relations: 183549
6 relations: 171974
7 relations: 162758
8 relations: 148282
9 relations: 132658
10+ relations: 657600
heaviest cycle: 27 relations
commencing cycle optimization
start with 16283149 relations
pruned 561819 relations
memory use: 481.4 MB
distribution of cycle lengths:
1 relations: 180827
2 relations: 184786
3 relations: 195901
4 relations: 194766
5 relations: 190748
6 relations: 178152
7 relations: 168207
8 relations: 152194
9 relations: 135161
10+ relations: 614167
heaviest cycle: 26 relations
RelProcTime: 704
elapsed time 00:11:47


Msieve v. 1.54 (SVN 1032M)
random seeds: 82753be5 d951c9b1
factoring 19679080877188396805625360837565901640779402319124101724800464001946992029038565273960216887747971505936617775536458083200637057761809197237407955245398888464568992601435421186209 (179 digits)
searching for 15-digit factors
commencing number field sieve (179-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: -23
A1: 0
A2: 0
A3: 0
A4: 0
A5: 680
skew 1.00, size 1.517e-13, alpha 0.252, combined = 2.637e-11 rroots = 1

commencing linear algebra
read 2194909 cycles
cycles contain 7563860 unique relations
read 7563860 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 937.0 MB
read 2194909 cycles
matrix is 2194730 x 2194909 (806.3 MB) with weight 238926945 (108.86/col)
sparse part has weight 187217982 (85.30/col)
filtering completed in 2 passes
matrix is 2193718 x 2193896 (806.2 MB) with weight 238881657 (108.88/col)
sparse part has weight 187197092 (85.33/col)
matrix starts at (0, 0)
matrix is 2193718 x 2193896 (806.2 MB) with weight 238881657 (108.88/col)
sparse part has weight 187197092 (85.33/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2193670 x 2193896 (770.6 MB) with weight 196349525 (89.50/col)
sparse part has weight 180082182 (82.08/col)
using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
commencing Lanczos iteration (8 threads)
memory use: 729.0 MB
linear algebra at 0.1%, ETA 1h36m
checkpointing every 1220000 dimensions
lanczos halted after 34694 iterations (dim = 2193668)
recovered 36 nontrivial dependencies
BLanczosTime: 6471
elapsed time 01:47:53


Msieve v. 1.54 (SVN 1032M)
random seeds: 9c394806 4ef0893f
factoring 19679080877188396805625360837565901640779402319124101724800464001946992029038565273960216887747971505936617775536458083200637057761809197237407955245398888464568992601435421186209 (179 digits)
searching for 15-digit factors
commencing number field sieve (179-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: -23
A1: 0
A2: 0
A3: 0
A4: 0
A5: 680
skew 1.00, size 1.517e-13, alpha 0.252, combined = 2.637e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1096480 cycles
cycles contain 3778302 unique relations
read 3778302 relations
multiplying 3778302 relations
multiply complete, coefficients have about 117.55 million bits
initial square root is modulo 273588131
GCD is N, no factor found
reading relations for dependency 2
read 1097813 cycles
cycles contain 3783150 unique relations
read 3783150 relations
multiplying 3783150 relations
multiply complete, coefficients have about 117.70 million bits
initial square root is modulo 280601341
GCD is 1, no factor found
reading relations for dependency 3
read 1096507 cycles
cycles contain 3779716 unique relations
read 3779716 relations
multiplying 3779716 relations
multiply complete, coefficients have about 117.59 million bits
initial square root is modulo 275547031
GCD is 1, no factor found
reading relations for dependency 4
read 1097191 cycles
cycles contain 3782108 unique relations
read 3782108 relations
multiplying 3782108 relations
multiply complete, coefficients have about 117.66 million bits
initial square root is modulo 278985611
sqrtTime: 1227
p59 factor: 19888764865115910214368573756758418535028337850155580106453
p120 factor: 989457163913919529041984951000655430389115445696199074870522986978771171461342595028301506656929052222408330920751671453
elapsed time 00:20:29
software ソフトウェア
CADO-NFS/Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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)
4511e6103232Ignacio 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)
5043e61120 / 7270Robert BalfourJuly 9, 2020 01:58:28 UTC 2020 年 7 月 9 日 (木) 10 時 58 分 28 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

name 名前Bob Backstrom
date 日付March 19, 2021 01:17:38 UTC 2021 年 3 月 19 日 (金) 10 時 17 分 38 秒 (日本時間)
composite number 合成数
105279580879072546244454023760847509625372558426629928816993090112521649338875123308594293373312912459104074982907810394386821256135271803172127968642686584000688720727741632629<177>
prime factors 素因数
412658374331310198554305715677005650758508656338315685904085071913136016244720591844367<87>
255125274143950707787163520859478207073906826449321467811455617607528954738627659195408187<90>
factorization results 素因数分解の結果
Number: n
N=105279580879072546244454023760847509625372558426629928816993090112521649338875123308594293373312912459104074982907810394386821256135271803172127968642686584000688720727741632629  ( 177 digits)
SNFS difficulty: 198 digits.
Divisors found:

Fri Mar 19 12:11:08 2021  p87 factor: 412658374331310198554305715677005650758508656338315685904085071913136016244720591844367
Fri Mar 19 12:11:08 2021  p90 factor: 255125274143950707787163520859478207073906826449321467811455617607528954738627659195408187
Fri Mar 19 12:11:08 2021  elapsed time 01:18:29 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.342).
Factorization parameters were as follows:
#
# N = 68x10^197-23 = 75(196)3
#
n: 105279580879072546244454023760847509625372558426629928816993090112521649338875123308594293373312912459104074982907810394386821256135271803172127968642686584000688720727741632629
m: 1000000000000000000000000000000000000000
deg: 5
c5: 6800
c0: -23
skew: 0.32
# Murphy_E = 1.503e-11
type: snfs
lss: 1
rlim: 14400000
alim: 14400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14400000/14400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4503250 hash collisions in 30643266 relations (27647701 unique)
Msieve: matrix is 1878570 x 1878795 (655.4 MB)

Sieving start time : 2021/03/19 02:35:22
Sieving end time  : 2021/03/19 10:51:44

Total sieving time: 8hrs 16min 22secs.

Total relation processing time: 1hrs 6min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 53sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14400000,14400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116948] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153521] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798332)
[    0.152037] smpboot: Total of 16 processors activated (102386.65 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 14:41:00 UTC 2010 年 1 月 18 日 (月) 23 時 41 分 0 秒 (日本時間)

68×10198-239

c152

name 名前Eric Jeancolas
date 日付July 12, 2021 09:47:01 UTC 2021 年 7 月 12 日 (月) 18 時 47 分 1 秒 (日本時間)
composite number 合成数
23967027541594212376952923159765941302317048580976825982443552180848656240907785972436767532747919693573886466010608946225812542357393946679416251133687<152>
prime factors 素因数
115921604599063322987268818013388934699218003<45>
206752034053433662137093890897985380297984867321159107509562229630671325726447698232541934239872158154737229<108>
factorization results 素因数分解の結果
23967027541594212376952923159765941302317048580976825982443552180848656240907785972436767532747919693573886466010608946225812542357393946679416251133687=115921604599063322987268818013388934699218003*206752034053433662137093890897985380297984867321159107509562229630671325726447698232541934239872158154737229 115921604599063322987268818013388934699218003

cado polynomial
n: 23967027541594212376952923159765941302317048580976825982443552180848656240907785972436767532747919693573886466010608946225812542357393946679416251133687
skew: 0.83
type: snfs
c0: -23
c6: 68
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 68*x^6-23
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15000000
tasks.lim1 = 15000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 206752034053433662137093890897985380297984867321159107509562229630671325726447698232541934239872158154737229 115921604599063322987268818013388934699218003
Info:Square Root: Total cpu/real time for sqrt: 896.92/274.027
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29961421
Info:Lattice Sieving: Average J: 1895.58 for 4640016 special-q, max bucket fill -bkmult 1.0,1s:1.215800
Info:Lattice Sieving: Total time: 963705s
Info:Generate Factor Base: Total cpu/real time for makefb: 9.82/3.89385
Info:Generate Free Relations: Total cpu/real time for freerel: 182.49/47.2707
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 128.56/154.438
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 153.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 562.83/524.229
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 421.0s
Info:Filtering - Merging: Merged matrix has 2944861 rows and total weight 503921198 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 844.56/232.715
Info:Filtering - Merging: Total cpu/real time for replay: 118.23/104.526
Info:Linear Algebra: Total cpu/real time for bwc: 158297/40516.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 101347.21, WCT time 25870.61, iteration CPU time 0.27, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (92160 iterations)
Info:Linear Algebra: Lingen CPU time 638.39, WCT time 162.04
Info:Linear Algebra: Mksol: CPU time 55196.94,  WCT time 14083.25, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (46080 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 102.48/44.3014
Info:Square Root: Total cpu/real time for sqrt: 896.92/274.027
Info:Filtering - Singleton removal: Total cpu/real time for purge: 457.61/500.179
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.02388e+06/123048
Info:root: Cleaning up computation data in /tmp/cado.uke_4099
206752034053433662137093890897985380297984867321159107509562229630671325726447698232541934239872158154737229 115921604599063322987268818013388934699218003
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
4 x Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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

name 名前Bob Backstrom
date 日付August 30, 2021 08:44:23 UTC 2021 年 8 月 30 日 (月) 17 時 44 分 23 秒 (日本時間)
composite number 合成数
56729294713372205437186275536085997101385230170318430821605520978580451258420980552262077024074754624799933804581699298631359952046867005550123691606110905169482050608505003948285418819<185>
prime factors 素因数
1570383743302672249735710951560735270945794201005812348460462922136243<70>
36124479099652987223749956943144271230305942050689302543281183059557682917619554754755169539899633963109206587939633<116>
factorization results 素因数分解の結果
Number: n
N=56729294713372205437186275536085997101385230170318430821605520978580451258420980552262077024074754624799933804581699298631359952046867005550123691606110905169482050608505003948285418819  ( 185 digits)
SNFS difficulty: 202 digits.
Divisors found:

Mon Aug 30 18:39:29 2021  p70 factor: 1570383743302672249735710951560735270945794201005812348460462922136243
Mon Aug 30 18:39:29 2021  p116 factor: 36124479099652987223749956943144271230305942050689302543281183059557682917619554754755169539899633963109206587939633
Mon Aug 30 18:39:29 2021  elapsed time 01:46:00 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 68x10^201-23 = 75(200)3
#
n: 56729294713372205437186275536085997101385230170318430821605520978580451258420980552262077024074754624799933804581699298631359952046867005550123691606110905169482050608505003948285418819
m: 10000000000000000000000000000000000000000
deg: 5
c5: 680
c0: -23
skew: 0.51
# Murphy_E = 1.138e-11
type: snfs
lss: 1
rlim: 16800000
alim: 16800000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16800000/16800000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 50000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 13040919 hash collisions in 84834467 relations (73513973 unique)
Msieve: matrix is 1996424 x 1996651 (675.6 MB)

Sieving start time : 2021/08/29 23:18:32
Sieving end time  : 2021/08/30 16:51:42

Total sieving time: 17hrs 33min 10secs.

Total relation processing time: 1hrs 15min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 11sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16800000,16800000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116939] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239968K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved)
[    0.154077] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.20 BogoMIPS (lpj=12798404)
[    0.152034] smpboot: Total of 16 processors activated (102387.23 BogoMIPS)

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

c158

name 名前Ignacio Santos
date 日付December 10, 2021 07:08:11 UTC 2021 年 12 月 10 日 (金) 16 時 8 分 11 秒 (日本時間)
composite number 合成数
14555078831246876065623638824536107503420418340649272013486626437336704502037286184258974524155733837581285661014163063725412541196035787474058041019885587113<158>
prime factors 素因数
2343578106797210384816798649683716418225375381<46>
6210622461880817443869642869634864575586870982357355054534798652427182929453420122603869642862742903918721970373<112>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1779895235
Step 1 took 26078ms
Step 2 took 11703ms
********** Factor found in step 2: 2343578106797210384816798649683716418225375381
Found prime factor of 46 digits: 2343578106797210384816798649683716418225375381
Prime cofactor 6210622461880817443869642869634864575586870982357355054534798652427182929453420122603869642862742903918721970373 has 112 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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

name 名前Bob Backstrom
date 日付May 14, 2021 15:31:56 UTC 2021 年 5 月 15 日 (土) 0 時 31 分 56 秒 (日本時間)
composite number 合成数
1192782118137948331859060071202702327105003681545135529827502009001548056494035336204154639309486092620140943668028502374880460254078214756996069678023007794298976334871196517032171891317293<190>
prime factors 素因数
1727524204375526949377076145814845457689888013<46>
690457543296257582826102035170652715863724206868650077034553948124902065481288026703549451633844956879626311731067371800856482326598699420934561<144>
factorization results 素因数分解の結果
#
# N = 68x10^203-23 = 75(202)3
#
n: 1192782118137948331859060071202702327105003681545135529827502009001548056494035336204154639309486092620140943668028502374880460254078214756996069678023007794298976334871196517032171891317293
m: 20000000000000000000000000000000000000000
deg: 5
c5: 2125
c0: -23
skew: 0.40
# Murphy_E = 8.623e-12
type: snfs
lss: 1
rlim: 18200000
alim: 18200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1192782118137948331859060071202702327105003681545135529827502009001548056494035336204154639309486092620140943668028502374880460254078214756996069678023007794298976334871196517032171891317293 (190 digits)
Using B1=37320000, B2=192391008826, polynomial Dickson(12), sigma=1:4189233748
Step 1 took 101386ms
Step 2 took 33984ms
********** Factor found in step 2: 1727524204375526949377076145814845457689888013
Found prime factor of 46 digits: 1727524204375526949377076145814845457689888013
Prime cofactor 690457543296257582826102035170652715863724206868650077034553948124902065481288026703549451633844956879626311731067371800856482326598699420934561 has 144 digits

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

name 名前Erik Branger
date 日付April 11, 2021 17:30:53 UTC 2021 年 4 月 12 日 (月) 2 時 30 分 53 秒 (日本時間)
composite number 合成数
862975738180475374368533637038828758175305349803853520877150560555852466499289849742636567161227294553250017436551781326490488056653042433817376811847379884076172372495983384794916826594147482141<195>
prime factors 素因数
19284498157874317448330346053481981973894929328914512589901<59>
44749711976720635405411619544705883075981982122905862170105960716293138263909233374867871013197845353063698402982341373064401970664916241<137>
factorization results 素因数分解の結果
Number: 75553_219
N = 862975738180475374368533637038828758175305349803853520877150560555852466499289849742636567161227294553250017436551781326490488056653042433817376811847379884076172372495983384794916826594147482141 (195 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=19284498157874317448330346053481981973894929328914512589901 (pp59)
r2=44749711976720635405411619544705883075981982122905862170105960716293138263909233374867871013197845353063698402982341373064401970664916241 (pp137)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 61.72 hours.
Factorization parameters were as follows:
n: 862975738180475374368533637038828758175305349803853520877150560555852466499289849742636567161227294553250017436551781326490488056653042433817376811847379884076172372495983384794916826594147482141
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 34
c0: -115
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 7277390 relations
Pruned matrix : 6313057 x 6313282
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 32.91 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 28.26 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 61.72 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-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 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

name 名前Erik Branger
date 日付May 22, 2022 06:40:20 UTC 2022 年 5 月 22 日 (日) 15 時 40 分 20 秒 (日本時間)
composite number 合成数
27083674491113398136142059508605725434772587007384009533634791025889763740432500693702629492198962224138741461876377484923377176026240185722159002067814670072277150589041356613900442898531<188>
prime factors 素因数
1156232278275068686314824156506373065331471928508708402219<58>
23424077497229469242375289685195034024818874537531171449384828548430779451273213105499097870061598917399080593464724119109538734249<131>
factorization results 素因数分解の結果
Number: 75553_221
N = 27083674491113398136142059508605725434772587007384009533634791025889763740432500693702629492198962224138741461876377484923377176026240185722159002067814670072277150589041356613900442898531 (188 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=1156232278275068686314824156506373065331471928508708402219 (pp58)
r2=23424077497229469242375289685195034024818874537531171449384828548430779451273213105499097870061598917399080593464724119109538734249 (pp131)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 67.79 hours.
Factorization parameters were as follows:
n: 27083674491113398136142059508605725434772587007384009533634791025889763740432500693702629492198962224138741461876377484923377176026240185722159002067814670072277150589041356613900442898531
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 680
c0: -23
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30972599
Relations: 7982594 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 21.53 hours.
Total relation processing time: 0.43 hours.
Pruned matrix : 6851940 x 6852165
Matrix solve time: 45.60 hours.
time per square root: 0.23 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 67.79 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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)

68×10252-239

c237

composite cofactor 合成数の残り
348349444927007351295904964238485381172823419441018115051269242328793083308638408117538660715485223085804361752463363659160936869739375747383176257966310809658673500110986608720121881995949801584410178908226040052781938150178153122708493<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 17, 2021 18:28:49 UTC 2021 年 5 月 18 日 (火) 3 時 28 分 49 秒 (日本時間)
403e62205ebinaNovember 24, 2021 09:08:31 UTC 2021 年 11 月 24 日 (水) 18 時 8 分 31 秒 (日本時間)

68×10253-239

c247

composite cofactor 合成数の残り
2624675167981816126922096425787218919628196698514513753122258577447133551527983790654611703452048819313227572742206462282979746937234702996524864460712875902551971279847077469939276866249320928022301586995558999438161261578527739336901062008803863<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 17, 2021 18:28:30 UTC 2021 年 5 月 18 日 (火) 3 時 28 分 30 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 23, 2022 17:44:16 UTC 2022 年 2 月 24 日 (木) 2 時 44 分 16 秒 (日本時間)

68×10254-239

c208

composite cofactor 合成数の残り
7059915711777503384265889421250786601750798670841386697098509642478393143103956309309543140813882173886361994782553674280660144598643888119903099958954037337620529923475541347660167261549024124087415869860233<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 17, 2021 18:28:08 UTC 2021 年 5 月 18 日 (火) 3 時 28 分 8 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 17, 2022 15:23:42 UTC 2022 年 2 月 18 日 (金) 0 時 23 分 42 秒 (日本時間)

68×10255-239

c242

composite cofactor 合成数の残り
47385530893718946566771674748413391524838238978359073261566349864649751843845206353956210663126763457605890474282555363924009650564343154760563955943980738269396124860373649368938101701899211972730377448986323469852100061773734346577487403411<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 17, 2021 18:27:50 UTC 2021 年 5 月 18 日 (火) 3 時 27 分 50 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 21, 2022 01:19:26 UTC 2022 年 2 月 21 日 (月) 10 時 19 分 26 秒 (日本時間)

68×10256-239

c188

composite cofactor 合成数の残り
11959097470536802287417903980057876828204588018397352091067890266747819064607010145106549362741976529681275842568617030667168679476884915594052306529549731748653776339912620423849191110267<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 17, 2021 18:27:29 UTC 2021 年 5 月 18 日 (火) 3 時 27 分 29 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 17, 2022 16:27:58 UTC 2022 年 2 月 18 日 (金) 1 時 27 分 58 秒 (日本時間)

68×10261-239

c239

composite cofactor 合成数の残り
32908431325731379749381336703084291598219681729216727434705471303095290026608752272872615073804995610559996578654713760495407839532169311640739755280347625242853446050199736580290931448473092268744932791562662401176075417532600702231210427<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 17, 2021 18:27:02 UTC 2021 年 5 月 18 日 (火) 3 時 27 分 2 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 19, 2022 15:32:17 UTC 2022 年 2 月 20 日 (日) 0 時 32 分 17 秒 (日本時間)

68×10263-239

c260

composite cofactor 合成数の残り
81531839382276416915458676546407203577808951716365118760716041389398462885028116494610505617303933911250194837116170881143364147572629281920314616980204548997038475834202606620864956896034914811217821900890855245015167320120379362852655180269294869489107106459<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 17, 2021 18:25:02 UTC 2021 年 5 月 18 日 (火) 3 時 25 分 2 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 6, 2022 02:35:05 UTC 2022 年 3 月 6 日 (日) 11 時 35 分 5 秒 (日本時間)

68×10265-239

c203

name 名前Marlon Trifunovic
date 日付February 20, 2022 00:47:55 UTC 2022 年 2 月 20 日 (日) 9 時 47 分 55 秒 (日本時間)
composite number 合成数
15276364962172381901733163843095778401832492129306484810106035324013319282683466300028666590282326310600914821555413595212812950383820122740761172158872670450014974468195466054462888525510735195546118459<203>
prime factors 素因数
5066255199217902516164694908204551<34>
composite cofactor 合成数の残り
3015316907946258543865690957712670953709089389946059745602130002189651805118227126677385804000434722567271596449024352218368902574132683905110667368888107964793515902509<169>
factorization results 素因数分解の結果
Run 117 out of 587:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1349921422
Step 1 took 18947ms
Step 2 took 7711ms
********** Factor found in step 2: 5066255199217902516164694908204551
Found prime factor of 34 digits: 5066255199217902516164694908204551
Composite cofactor 3015316907946258543865690957712670953709089389946059745602130002189651805118227126677385804000434722567271596449024352218368902574132683905110667368888107964793515902509 has 169 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 17, 2021 18:24:07 UTC 2021 年 5 月 18 日 (火) 3 時 24 分 7 秒 (日本時間)
403e62937587Marlon TrifunovicFebruary 20, 2022 00:41:01 UTC 2022 年 2 月 20 日 (日) 9 時 41 分 1 秒 (日本時間)
2350Ignacio SantosFebruary 20, 2022 18:50:44 UTC 2022 年 2 月 21 日 (月) 3 時 50 分 44 秒 (日本時間)
4511e64480Ignacio SantosMarch 3, 2022 19:45:18 UTC 2022 年 3 月 4 日 (金) 4 時 45 分 18 秒 (日本時間)

68×10266-239

c249

composite cofactor 合成数の残り
317404544364469071906994589598005326566792612768638383275966309163233392531292098241686044596575435282432578595931083416336213724447256541921544390785460994759068406521292860022279717418176321660057940848182495859654945538035303641483951850749763251<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 17, 2021 18:23:25 UTC 2021 年 5 月 18 日 (火) 3 時 23 分 25 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 2, 2022 03:52:37 UTC 2022 年 3 月 2 日 (水) 12 時 52 分 37 秒 (日本時間)

68×10267-239

c258

composite cofactor 合成数の残り
245000546411585911882555879770085766196373132803560149588010791651523041927578624492929381782213018331515866370743011772236828003476860300431628702733947374854223693531814781610574119019773198861531989847586896734902049049117671176788585717473984580166152177<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 17, 2021 18:22:54 UTC 2021 年 5 月 18 日 (火) 3 時 22 分 54 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 6, 2022 03:52:55 UTC 2022 年 3 月 6 日 (日) 12 時 52 分 55 秒 (日本時間)

68×10268-239

c244

composite cofactor 合成数の残り
8360370164056056676271203094544402563566961587541158101266902386603207218048269409074627786561831870343474070024327716784964086820189828486650502752854310480494081741299737509122127874297879046802071908059025946256181879413830951774261775896031<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 17, 2021 18:22:06 UTC 2021 年 5 月 18 日 (火) 3 時 22 分 6 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 22, 2022 08:40:20 UTC 2022 年 2 月 22 日 (火) 17 時 40 分 20 秒 (日本時間)

68×10269-239

c269

composite cofactor 合成数の残り
83950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 17, 2021 18:21:35 UTC 2021 年 5 月 18 日 (火) 3 時 21 分 35 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 23, 2022 23:27:54 UTC 2022 年 2 月 24 日 (木) 8 時 27 分 54 秒 (日本時間)

68×10271-239

c272

composite cofactor 合成数の残り
75555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e635501200Dmitry DomanovFebruary 27, 2021 22:45:01 UTC 2021 年 2 月 28 日 (日) 7 時 45 分 1 秒 (日本時間)
2350Ignacio SantosApril 3, 2021 17:16:31 UTC 2021 年 4 月 4 日 (日) 2 時 16 分 31 秒 (日本時間)
4511e640001000Dmitry DomanovApril 11, 2021 00:18:03 UTC 2021 年 4 月 11 日 (日) 9 時 18 分 3 秒 (日本時間)
1000Dmitry DomanovMay 28, 2021 07:59:19 UTC 2021 年 5 月 28 日 (金) 16 時 59 分 19 秒 (日本時間)
1000Ignacio SantosJune 29, 2021 20:09:28 UTC 2021 年 6 月 30 日 (水) 5 時 9 分 28 秒 (日本時間)
1000Ignacio SantosJuly 3, 2021 17:58:20 UTC 2021 年 7 月 4 日 (日) 2 時 58 分 20 秒 (日本時間)
5043e672001800NFSathomeNovember 25, 2021 21:18:20 UTC 2021 年 11 月 26 日 (金) 6 時 18 分 20 秒 (日本時間)
1800Dmitry DomanovJanuary 27, 2022 23:07:08 UTC 2022 年 1 月 28 日 (金) 8 時 7 分 8 秒 (日本時間)
1800Dmitry DomanovApril 6, 2022 23:59:40 UTC 2022 年 4 月 7 日 (木) 8 時 59 分 40 秒 (日本時間)
1800Dmitry DomanovApril 29, 2022 23:16:22 UTC 2022 年 4 月 30 日 (土) 8 時 16 分 22 秒 (日本時間)

68×10274-239

c228

name 名前Eric Jeancolas
date 日付May 15, 2021 16:37:58 UTC 2021 年 5 月 16 日 (日) 1 時 37 分 58 秒 (日本時間)
composite number 合成数
396702784897868043497112192059577622382820359682733073156207924706478606043714213823828205782474196905045458471400735240466190383198500052254916256985992912200898342781086700714464643778791982186810040477287969862768069383559791<228>
prime factors 素因数
3586389095981909560625877366851591<34>
composite cofactor 合成数の残り
110613426006208526843636574349748616545317353777401179995410279091586169737655727606991035421129602979735433347630014323024181469881760007087274688572863880612256278743592355099862740786035290201<195>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 396702784897868043497112192059577622382820359682733073156207924706478606043714213823828205782474196905045458471400735240466190383198500052254916256985992912200898342781086700714464643778791982186810040477287969862768069383559791 (228 digits)
Run 240 out of 1200:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2635914758
Step 1 took 3843ms
Step 2 took 2069ms
********** Factor found in step 2: 3586389095981909560625877366851591
Found prime factor of 34 digits: 3586389095981909560625877366851591
Composite cofactor 110613426006208526843636574349748616545317353777401179995410279091586169737655727606991035421129602979735433347630014323024181469881760007087274688572863880612256278743592355099862740786035290201 has 195 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200240Eric JeancolasMay 15, 2021 16:36:12 UTC 2021 年 5 月 16 日 (日) 1 時 36 分 12 秒 (日本時間)
960Eric JeancolasMay 17, 2021 18:19:08 UTC 2021 年 5 月 18 日 (火) 3 時 19 分 8 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 16, 2022 08:29:58 UTC 2022 年 2 月 16 日 (水) 17 時 29 分 58 秒 (日本時間)

68×10277-239

c278

composite cofactor 合成数の残り
75555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e635501200Dmitry DomanovFebruary 26, 2021 22:47:56 UTC 2021 年 2 月 27 日 (土) 7 時 47 分 56 秒 (日本時間)
2350Ignacio SantosApril 7, 2021 16:25:31 UTC 2021 年 4 月 8 日 (木) 1 時 25 分 31 秒 (日本時間)
4511e640001000Dmitry DomanovApril 9, 2021 20:51:39 UTC 2021 年 4 月 10 日 (土) 5 時 51 分 39 秒 (日本時間)
1000Dmitry DomanovMay 26, 2021 14:08:51 UTC 2021 年 5 月 26 日 (水) 23 時 8 分 51 秒 (日本時間)
1000Ignacio SantosJune 29, 2021 21:30:19 UTC 2021 年 6 月 30 日 (水) 6 時 30 分 19 秒 (日本時間)
1000Ignacio SantosJuly 3, 2021 20:16:59 UTC 2021 年 7 月 4 日 (日) 5 時 16 分 59 秒 (日本時間)
5043e672001800NFSathomeNovember 24, 2021 23:16:02 UTC 2021 年 11 月 25 日 (木) 8 時 16 分 2 秒 (日本時間)
1800Dmitry DomanovJanuary 27, 2022 17:03:00 UTC 2022 年 1 月 28 日 (金) 2 時 3 分 0 秒 (日本時間)
1800Dmitry DomanovApril 6, 2022 23:59:03 UTC 2022 年 4 月 7 日 (木) 8 時 59 分 3 秒 (日本時間)
1800Dmitry DomanovApril 21, 2022 17:45:27 UTC 2022 年 4 月 22 日 (金) 2 時 45 分 27 秒 (日本時間)

68×10278-239

c208

composite cofactor 合成数の残り
1373106651997693304109321209735187371852977783560052942958578071814553372640591937234795803579633353002855865623353369989882694934928953821130760521482476219752099406426723320083829595174135912908717901668109<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 17, 2021 18:17:30 UTC 2021 年 5 月 18 日 (火) 3 時 17 分 30 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 16, 2022 08:29:52 UTC 2022 年 2 月 16 日 (水) 17 時 29 分 52 秒 (日本時間)

68×10279-239

c260

composite cofactor 合成数の残り
12316230424593459994939902749939353173625696415963379190926131888596165890087495234267917234431318034741644317332103644436703798638571323218750515482730333016321492910487546150351623169129608724440081413226345184060178439405818057706445617233049174896169063521<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 17, 2021 18:17:03 UTC 2021 年 5 月 18 日 (火) 3 時 17 分 3 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 03:39:27 UTC 2022 年 3 月 5 日 (土) 12 時 39 分 27 秒 (日本時間)

68×10280-239

c267

name 名前Marlon Trifunovic
date 日付April 15, 2022 00:53:39 UTC 2022 年 4 月 15 日 (金) 9 時 53 分 39 秒 (日本時間)
composite number 合成数
449519869595419877350514118041392356436487999427420189512228638026589293729336420957083862852985224390689859602786631622019915755459783710860240606475503869589174419967214725391494881599130636330167617649906572640200886973659752782888834728178912385746055357600323411<267>
prime factors 素因数
76072953684283318293516581442256194052519<41>
5909062916907494002025764352439548324909096507016611276466631640184704949966531047768127501392329153091109979136293536331664916891907492009326554503692797660793404551109504479818836123888811646808130352472451904336568053668469<226>
factorization results 素因数分解の結果
Run 278 out of 587:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:701236300
Step 1 took 26373ms
********** Factor found in step 1: 76072953684283318293516581442256194052519
Found prime factor of 41 digits: 76072953684283318293516581442256194052519
Prime cofactor 5909062916907494002025764352439548324909096507016611276466631640184704949966531047768127501392329153091109979136293536331664916891907492009326554503692797660793404551109504479818836123888811646808130352472451904336568053668469 has 226 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 17, 2021 18:16:41 UTC 2021 年 5 月 18 日 (火) 3 時 16 分 41 秒 (日本時間)

68×10282-239

c262

composite cofactor 合成数の残り
6871716882057176905114599283026191649458873492515657866947310482862063532472422878762594932642077630319922521944095761919592097653241993046330178357291718408760722168166213624123042348462858330222625951946602640658736328478567409188194153141759472047815616658679<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 17, 2021 18:16:18 UTC 2021 年 5 月 18 日 (火) 3 時 16 分 18 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 24, 2022 01:13:52 UTC 2022 年 2 月 24 日 (木) 10 時 13 分 52 秒 (日本時間)

68×10284-239

c231

composite cofactor 合成数の残り
556139479163257438960662348466524007015649554940037318326673558158782269333247229311527090095134017688623003488185233021702787042999256677339384564286432164928335621785645181129291626284114028547399753060212769528557075595206832751<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 17, 2021 18:15:50 UTC 2021 年 5 月 18 日 (火) 3 時 15 分 50 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 23, 2022 21:50:35 UTC 2022 年 2 月 24 日 (木) 6 時 50 分 35 秒 (日本時間)

68×10285-239

c254

name 名前Eric Jeancolas
date 日付May 16, 2021 07:28:57 UTC 2021 年 5 月 16 日 (日) 16 時 28 分 57 秒 (日本時間)
composite number 合成数
28665120733405059444930632122744149567086213265663903828533820535529592464056906783695924047769368892213107267261564571123816802159644597823890220971625257255566425518233375917902008939609528182608181247581433592003954427216999340257268673376211801313787<254>
prime factors 素因数
109634598328842787516381437448309791637<39>
composite cofactor 合成数の残り
261460534998501552315620055786759982383711061534694436542014936524020666039820079672420785755638861986852785704736282956504168601153281248873530834482955636416360389137826730991764621188057462155413058343788236591951<216>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 28665120733405059444930632122744149567086213265663903828533820535529592464056906783695924047769368892213107267261564571123816802159644597823890220971625257255566425518233375917902008939609528182608181247581433592003954427216999340257268673376211801313787 (254 digits)
Run 446 out of 1200:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:299195067
Step 1 took 5134ms
Step 2 took 2492ms
********** Factor found in step 2: 109634598328842787516381437448309791637
Found prime factor of 39 digits: 109634598328842787516381437448309791637
Composite cofactor 261460534998501552315620055786759982383711061534694436542014936524020666039820079672420785755638861986852785704736282956504168601153281248873530834482955636416360389137826730991764621188057462155413058343788236591951 has 216 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200446Eric JeancolasMay 16, 2021 07:25:49 UTC 2021 年 5 月 16 日 (日) 16 時 25 分 49 秒 (日本時間)
754Eric JeancolasMay 17, 2021 18:15:01 UTC 2021 年 5 月 18 日 (火) 3 時 15 分 1 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 22, 2022 15:11:22 UTC 2022 年 2 月 23 日 (水) 0 時 11 分 22 秒 (日本時間)

68×10287-239

c243

composite cofactor 合成数の残り
257192203578826989070498154100873527651774946638103921132395678810618799560346985976803908588797165806301917651127654360850345930623136415245245848786002110191312921099506746018380718536208552926993410938800844273273825699888579163672647720771<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 17, 2021 18:12:02 UTC 2021 年 5 月 18 日 (火) 3 時 12 分 2 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 23, 2022 22:25:15 UTC 2022 年 2 月 24 日 (木) 7 時 25 分 15 秒 (日本時間)

68×10288-239

c271

name 名前Marlon Trifunovic
date 日付April 15, 2022 00:53:44 UTC 2022 年 4 月 15 日 (金) 9 時 53 分 44 秒 (日本時間)
composite number 合成数
1276149565831820512730089852417235923453930546276052630686126191750328059898173395624875742193361561971701734907693787252747758141263934563132645363875918593961280477307752709082294920164611195526633771129715625767101346713776867107020739866649375246977968770134186851767<271>
prime factors 素因数
5323733328257291468309322611507117<34>
composite cofactor 合成数の残り
239709520959338573788671423744885916917454939185862507658248609689852186986015447691808257549784566057070605302741896998077353097796970648563861311349387755362067244284251148711574602772139268048807695185339843893225845156921295881326451<237>
factorization results 素因数分解の結果
Run 7 out of 587:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:568631511
Step 1 took 31357ms
Step 2 took 11029ms
********** Factor found in step 2: 5323733328257291468309322611507117
Found prime factor of 34 digits: 5323733328257291468309322611507117
Composite cofactor 239709520959338573788671423744885916917454939185862507658248609689852186986015447691808257549784566057070605302741896998077353097796970648563861311349387755362067244284251148711574602772139268048807695185339843893225845156921295881326451 has 237 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 17, 2021 18:11:34 UTC 2021 年 5 月 18 日 (火) 3 時 11 分 34 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 9, 2022 08:05:03 UTC 2022 年 3 月 9 日 (水) 17 時 5 分 3 秒 (日本時間)

68×10289-239

c259

composite cofactor 合成数の残り
2309786278543914014237091558672836042370143869332198883942566621752055743510095330484738304254798149886258045340757806979705088237953424921868940365045508489534655240434090838407767386416595668569836103795131767740907297259650549951016819651715369584605343473<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 17, 2021 18:11:03 UTC 2021 年 5 月 18 日 (火) 3 時 11 分 3 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 23:38:55 UTC 2022 年 3 月 6 日 (日) 8 時 38 分 55 秒 (日本時間)

68×10290-239

c289

composite cofactor 合成数の残り
3034359660865684962070504239178937974118697010263275323516287371709058456046407853636769299419901829540383757251227130745203034359660865684962070504239178937974118697010263275323516287371709058456046407853636769299419901829540383757251227130745203034359660865684962070504239178937974118697<289>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 17, 2021 18:10:41 UTC 2021 年 5 月 18 日 (火) 3 時 10 分 41 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 9, 2022 13:38:05 UTC 2022 年 3 月 9 日 (水) 22 時 38 分 5 秒 (日本時間)

68×10291-239

c274

composite cofactor 合成数の残り
1247846165552659542567465348141504254544293713038390768720384192268715133994042655914015081620119085713445960334629443891228900248111532133445546252891524484841502073507566201756686208413297129821257898324219308080111202579801460589836365845172599940610898983044635306483971<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 17, 2021 18:10:20 UTC 2021 年 5 月 18 日 (火) 3 時 10 分 20 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 24, 2022 04:06:42 UTC 2022 年 2 月 24 日 (木) 13 時 6 分 42 秒 (日本時間)

68×10293-239

c237

composite cofactor 合成数の残り
290735981308716619648604175402761762999727110351045644487863600644562951539332463856419039296267654398440461242783268154060141305497742192684779516264000326405301758888369569248644812290573974387757650723072159821861880577445037676934003<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 17, 2021 18:06:20 UTC 2021 年 5 月 18 日 (火) 3 時 6 分 20 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 23, 2022 17:50:12 UTC 2022 年 2 月 24 日 (木) 2 時 50 分 12 秒 (日本時間)

68×10294-239

c256

composite cofactor 合成数の残り
2538070102850592097843309874133308660821136711902270013595100583022135737041411268683343858663705839895425226275472997656375340707328886119210433950485448520069270205440915737106235357681033682418275733361183591135121042353089675124293706771498877823250383<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 17, 2021 18:05:14 UTC 2021 年 5 月 18 日 (火) 3 時 5 分 14 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 03:36:46 UTC 2022 年 3 月 5 日 (土) 12 時 36 分 46 秒 (日本時間)

68×10295-239

c275

composite cofactor 合成数の残り
95130153329882494719763557168499405501927985323572569445116801442372195228854853397128219260395048279773031615942196670436712316114678455796982768766080287450217390283652323550081186173046255602972127889736378589247215378318117376479290107120631260916873305311491857093997749<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 17, 2021 18:04:42 UTC 2021 年 5 月 18 日 (火) 3 時 4 分 42 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 2, 2022 11:06:36 UTC 2022 年 3 月 2 日 (水) 20 時 6 分 36 秒 (日本時間)

68×10297-239

c243

composite cofactor 合成数の残り
109052444092686432699386160681768607162973943572696076284338420469853317886053417029324663441777022734112724403082248433756434279715760524243068414074038851693716055417352509325301038962342983421515257574008331428312215444886496123810515729773<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 17, 2021 17:50:19 UTC 2021 年 5 月 18 日 (火) 2 時 50 分 19 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 23, 2022 23:05:57 UTC 2022 年 2 月 24 日 (木) 8 時 5 分 57 秒 (日本時間)

68×10299-239

c222

composite cofactor 合成数の残り
491972552776052722940147185905243373802428028777566830089399683886751345861003211025001506497748346971182205122524681707952639849800803922709371432898875728447026704307177227355827474657871423173369771376132196736512050949<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 17, 2021 17:49:57 UTC 2021 年 5 月 18 日 (火) 2 時 49 分 57 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 3, 2022 02:29:45 UTC 2022 年 3 月 3 日 (木) 11 時 29 分 45 秒 (日本時間)

68×10300-239

c228

composite cofactor 合成数の残り
128979576630716870504730091683467636029561113270247353287726792207854772811632089460531533388600712591408663411246722656419120261612000051663012589042274412746254777959756816186986807031162012306296715747405834306522363704528797<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 21, 2021 21:17:11 UTC 2021 年 1 月 22 日 (金) 6 時 17 分 11 秒 (日本時間)
4511e62000Dmitry DomanovMarch 19, 2021 13:52:15 UTC 2021 年 3 月 19 日 (金) 22 時 52 分 15 秒 (日本時間)
5043e6640 / 7059Dmitry DomanovMay 15, 2021 11:27:53 UTC 2021 年 5 月 15 日 (土) 20 時 27 分 53 秒 (日本時間)