Table of contents 目次

68×10106+319

c104

name 名前Dmitry Domanov
date 日付December 14, 2009 16:51:13 UTC 2009 年 12 月 15 日 (火) 1 時 51 分 13 秒 (日本時間)
composite number 合成数
35961711354381511449574276799407689460045480987889364852715638055952192077846528108308213020254905071659<104>
prime factors 素因数
1246448664957339799134281813<28>
28851337696777360109702926354001502481219789662031045816855532298591111394943<77>
factorization results 素因数分解の結果
N=35961711354381511449574276799407689460045480987889364852715638055952192077846528108308213020254905071659
  ( 104 digits)
SNFS difficulty: 107 digits.
Divisors found:
 r1=1246448664957339799134281813 (pp28)
 r2=28851337696777360109702926354001502481219789662031045816855532298591111394943 (pp77)
Version: Msieve-1.40
Total time: 0.40 hours.
Scaled time: 0.74 units (timescale=1.834).
Factorization parameters were as follows:
n: 35961711354381511449574276799407689460045480987889364852715638055952192077846528108308213020254905071659
m: 1000000000000000000000
deg: 5
c5: 680
c0: 31
skew: 0.54
type: snfs
lss: 1
rlim: 440000
alim: 440000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2Factor base limits: 440000/440000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [220000, 320001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 38652 x 38877
Total sieving time: 0.39 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,107.000,5,0,0,0,0,0,0,0,0,440000,440000,25,25,44,44,2.2,2.2,50000
total time: 0.40 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)

68×10108+319

c103

name 名前Dmitry Domanov
date 日付December 14, 2009 17:26:41 UTC 2009 年 12 月 15 日 (火) 2 時 26 分 41 秒 (日本時間)
composite number 合成数
4471422906060599484984139928708422260400283093674929001366216966459133463228168754393748372122598262313<103>
prime factors 素因数
150578119693288207836470725802931710300783336777<48>
29695037467385152935692049177562015039149743749687411169<56>
factorization results 素因数分解の結果
N=4471422906060599484984139928708422260400283093674929001366216966459133463228168754393748372122598262313
  ( 103 digits)
SNFS difficulty: 109 digits.
Divisors found:
 r1=150578119693288207836470725802931710300783336777 (pp48)
 r2=29695037467385152935692049177562015039149743749687411169 (pp56)
Version: Msieve-1.40
Total time: 0.64 hours.
Scaled time: 1.26 units (timescale=1.963).
Factorization parameters were as follows:
n: 4471422906060599484984139928708422260400283093674929001366216966459133463228168754393748372122598262313
m: 2000000000000000000000
deg: 5
c5: 2125
c0: 31
skew: 0.43
type: snfs
lss: 1
rlim: 470000
alim: 470000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2Factor base limits: 470000/470000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [235000, 385001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 44728 x 44959
Total sieving time: 0.62 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,109.000,5,0,0,0,0,0,0,0,0,470000,470000,25,25,44,44,2.2,2.2,50000
total time: 0.64 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+319

c111

name 名前Dmitry Domanov
date 日付December 14, 2009 19:01:21 UTC 2009 年 12 月 15 日 (火) 4 時 1 分 21 秒 (日本時間)
composite number 合成数
117652136545221912976539918304840573257486417659088317570207254929124209859585794047601347460666857922983338097<111>
prime factors 素因数
6634669135672764257553453456120632517947<40>
17732931987917711009328662473632708127743210594667847722218063513552451<71>
factorization results 素因数分解の結果
N=117652136545221912976539918304840573257486417659088317570207254929124209859585794047601347460666857922983338097
  ( 111 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=6634669135672764257553453456120632517947 (pp40)
 r2=17732931987917711009328662473632708127743210594667847722218063513552451 (pp71)
Version: Msieve-1.40
Total time: 1.52 hours.
Scaled time: 2.93 units (timescale=1.922).
Factorization parameters were as follows:
n: 117652136545221912976539918304840573257486417659088317570207254929124209859585794047601347460666857922983338097
m: 200000000000000000000000
deg: 5
c5: 21250
c0: 31
skew: 0.27
type: snfs
lss: 1
rlim: 720000
alim: 720000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 720000/720000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [360000, 710001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 76233 x 76462
Total sieving time: 1.48 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,120.000,5,0,0,0,0,0,0,0,0,720000,720000,25,25,46,46,2.2,2.2,50000
total time: 1.52 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)

68×10123+319

c107

name 名前Dmitry Domanov
date 日付December 14, 2009 19:08:18 UTC 2009 年 12 月 15 日 (火) 4 時 8 分 18 秒 (日本時間)
composite number 合成数
23081563272393504608498474761706374197973657306420442943852972944554259658162200187498273275712430781894219<107>
prime factors 素因数
15805941502604126681615117882084741<35>
1460309293729239363139970762663567667195019351405645904493488161939164559<73>
factorization results 素因数分解の結果
N=23081563272393504608498474761706374197973657306420442943852972944554259658162200187498273275712430781894219
  ( 107 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=15805941502604126681615117882084741 (pp35)
 r2=1460309293729239363139970762663567667195019351405645904493488161939164559 (pp73)
Version: Msieve-1.40
Total time: 1.58 hours.
Scaled time: 3.11 units (timescale=1.963).
Factorization parameters were as follows:
n: 23081563272393504608498474761706374197973657306420442943852972944554259658162200187498273275712430781894219
m: 2000000000000000000000000
deg: 5
c5: 2125
c0: 31
skew: 0.43
type: snfs
lss: 1
rlim: 840000
alim: 840000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 840000/840000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [420000, 770001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 99439 x 99664
Total sieving time: 1.53 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,124.000,5,0,0,0,0,0,0,0,0,840000,840000,25,25,46,46,2.2,2.2,50000
total time: 1.58 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)

68×10129+319

c119

name 名前Dmitry Domanov
date 日付December 14, 2009 21:40:03 UTC 2009 年 12 月 15 日 (火) 6 時 40 分 3 秒 (日本時間)
composite number 合成数
28542763874437913205487855707701668432438723177861207312592884591693426607608310073610917901821200641516476277956668939<119>
prime factors 素因数
15850593937734961158350585904613693897074287<44>
1800737813772841770073771228425346708559403534164709399543295848456867471397<76>
factorization results 素因数分解の結果
N=28542763874437913205487855707701668432438723177861207312592884591693426607608310073610917901821200641516476277956668939
  ( 119 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=15850593937734961158350585904613693897074287 (pp44)
 r2=1800737813772841770073771228425346708559403534164709399543295848456867471397 (pp76)
Version: Msieve-1.40
Total time: 2.51 hours.
Scaled time: 4.56 units (timescale=1.813).
Factorization parameters were as follows:
n: 28542763874437913205487855707701668432438723177861207312592884591693426607608310073610917901821200641516476277956668939
m: 20000000000000000000000000
deg: 5
c5: 21250
c0: 31
skew: 0.27
type: snfs
lss: 1
rlim: 1060000
alim: 1060000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1060000/1060000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [530000, 1030001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 151239 x 151466
Total sieving time: 2.42 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,130.000,5,0,0,0,0,0,0,0,0,1060000,1060000,26,26,47,47,2.3,2.3,50000
total time: 2.51 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)

68×10130+319

c86

name 名前Dmitry Domanov
date 日付December 14, 2009 18:22:25 UTC 2009 年 12 月 15 日 (火) 3 時 22 分 25 秒 (日本時間)
composite number 合成数
10342097971399540079633988595037935069400821487904349185261500024432707324650559828073<86>
prime factors 素因数
6328328267930458654843816832915939<34>
1634254345465820314671612324574857719012196626173507<52>
factorization results 素因数分解の結果
12/14/09 21:58:42 v1.14 @ REPGMAIL, starting SIQS on c86: 10342097971399540079633988595037935069400821487904349185261500024432707324650559828073
12/14/09 21:58:42 v1.14 @ REPGMAIL, random seeds: 0, 3887612160
12/14/09 21:58:43 v1.14 @ REPGMAIL, ==== sieve params ====
12/14/09 21:58:43 v1.14 @ REPGMAIL, n = 86 digits, 284 bits
12/14/09 21:58:43 v1.14 @ REPGMAIL, factor base: 56327 primes (max prime = 1475729)
12/14/09 21:58:43 v1.14 @ REPGMAIL, single large prime cutoff: 162330190 (110 * pmax)
12/14/09 21:58:43 v1.14 @ REPGMAIL, double large prime range from 42 to 50 bits
12/14/09 21:58:43 v1.14 @ REPGMAIL, double large prime cutoff: 600784520801526
12/14/09 21:58:43 v1.14 @ REPGMAIL, allocating 12 large prime slices of factor base
12/14/09 21:58:43 v1.14 @ REPGMAIL, buckets hold 1024 elements
12/14/09 21:58:43 v1.14 @ REPGMAIL, sieve interval: 18 blocks of size 32768
12/14/09 21:58:43 v1.14 @ REPGMAIL, polynomial A has ~ 11 factors
12/14/09 21:58:43 v1.14 @ REPGMAIL, using multiplier of 2
12/14/09 21:58:43 v1.14 @ REPGMAIL, using small prime variation correction of 21 bits
12/14/09 21:58:43 v1.14 @ REPGMAIL, using SSE2 for trial division and x128 sieve scanning
12/14/09 21:58:43 v1.14 @ REPGMAIL, trial factoring cutoff at 92 bits
12/14/09 21:58:43 v1.14 @ REPGMAIL, ==== sieving started ( 8 threads) ====
12/14/09 22:05:23 v1.14 @ REPGMAIL, trial division touched 13815966 sieve locations out of 3668761903104
12/14/09 22:05:23 v1.14 @ REPGMAIL, 58137 relations found: 19063 full + 39074 from 549464 partial, using 3110048 polys (311 A polys)
12/14/09 22:05:23 v1.14 @ REPGMAIL, on average, sieving found 0.18 rels/poly and 1418.23 rels/sec
12/14/09 22:05:23 v1.14 @ REPGMAIL, trial division touched 13815966 sieve locations out of 3668761903104
12/14/09 22:05:23 v1.14 @ REPGMAIL, ==== post processing stage (msieve-1.38) ====
12/14/09 22:05:24 v1.14 @ REPGMAIL, begin with 568527 relations
12/14/09 22:05:24 v1.14 @ REPGMAIL, reduce to 121540 relations in 9 passes
12/14/09 22:05:27 v1.14 @ REPGMAIL, recovered 121540 relations
12/14/09 22:05:27 v1.14 @ REPGMAIL, recovered 84249 polynomials
12/14/09 22:05:28 v1.14 @ REPGMAIL, attempting to build 58137 cycles
12/14/09 22:05:28 v1.14 @ REPGMAIL, found 58137 cycles in 4 passes
12/14/09 22:05:28 v1.14 @ REPGMAIL, distribution of cycle lengths:
12/14/09 22:05:28 v1.14 @ REPGMAIL,    length 1 : 19063
12/14/09 22:05:28 v1.14 @ REPGMAIL,    length 2 : 15070
12/14/09 22:05:28 v1.14 @ REPGMAIL,    length 3 : 10885
12/14/09 22:05:28 v1.14 @ REPGMAIL,    length 4 : 6333
12/14/09 22:05:28 v1.14 @ REPGMAIL,    length 5 : 3437
12/14/09 22:05:28 v1.14 @ REPGMAIL,    length 6 : 1799
12/14/09 22:05:28 v1.14 @ REPGMAIL,    length 7 : 862
12/14/09 22:05:28 v1.14 @ REPGMAIL,    length 9+: 688
12/14/09 22:05:28 v1.14 @ REPGMAIL, largest cycle: 16 relations
12/14/09 22:05:28 v1.14 @ REPGMAIL, matrix is 56327 x 58137 (11.8 MB) with weight 2860361 (49.20/col)
12/14/09 22:05:28 v1.14 @ REPGMAIL, sparse part has weight 2860361 (49.20/col)
12/14/09 22:05:28 v1.14 @ REPGMAIL, filtering completed in 4 passes
12/14/09 22:05:28 v1.14 @ REPGMAIL, matrix is 48817 x 48881 (9.8 MB) with weight 2374448 (48.58/col)
12/14/09 22:05:28 v1.14 @ REPGMAIL, sparse part has weight 2374448 (48.58/col)
12/14/09 22:05:28 v1.14 @ REPGMAIL, saving the first 48 matrix rows for later
12/14/09 22:05:28 v1.14 @ REPGMAIL, matrix is 48769 x 48881 (7.9 MB) with weight 1988288 (40.68/col)
12/14/09 22:05:28 v1.14 @ REPGMAIL, sparse part has weight 1773744 (36.29/col)
12/14/09 22:05:28 v1.14 @ REPGMAIL, matrix includes 64 packed rows
12/14/09 22:05:28 v1.14 @ REPGMAIL, using block size 19552 for processor cache size 6144 kB
12/14/09 22:05:29 v1.14 @ REPGMAIL, commencing Lanczos iteration
12/14/09 22:05:29 v1.14 @ REPGMAIL, memory use: 7.2 MB
12/14/09 22:05:42 v1.14 @ REPGMAIL, lanczos halted after 773 iterations (dim = 48763)
12/14/09 22:05:42 v1.14 @ REPGMAIL, recovered 14 nontrivial dependencies
12/14/09 22:05:43 v1.14 @ REPGMAIL, prp52 = 1634254345465820314671612324574857719012196626173507
12/14/09 22:05:44 v1.14 @ REPGMAIL, prp34 = 6328328267930458654843816832915939
12/14/09 22:05:44 v1.14 @ REPGMAIL, Lanczos elapsed time = 18.6090 seconds.
12/14/09 22:05:44 v1.14 @ REPGMAIL, Sqrt elapsed time = 2.5000 seconds.
12/14/09 22:05:44 v1.14 @ REPGMAIL, SIQS elapsed time = 421.9790 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)

68×10132+319

c101

name 名前Dmitry Domanov
date 日付December 15, 2009 14:57:10 UTC 2009 年 12 月 15 日 (火) 23 時 57 分 10 秒 (日本時間)
composite number 合成数
32556065675099242514509548230892736110901273716548379934378236917526599026909990576685356401273879947<101>
prime factors 素因数
36954238232459266794746422219280310036992683933<47>
880983270993343639800108777244778655265600180659756359<54>
factorization results 素因数分解の結果
N=32556065675099242514509548230892736110901273716548379934378236917526599026909990576685356401273879947
  ( 101 digits)
Divisors found:
 r1=36954238232459266794746422219280310036992683933 (pp47)
 r2=880983270993343639800108777244778655265600180659756359 (pp54)
Version: Msieve-1.40
Total time: 3.88 hours.
Scaled time: 7.39 units (timescale=1.905).
Factorization parameters were as follows:
name: g0
n: 32556065675099242514509548230892736110901273716548379934378236917526599026909990576685356401273879947
skew: 9331.96
# norm 1.42e+014
c5: 77700
c4: -857413225
c3: -17143839924827
c2: 70864659807859085
c1: 721204846229342710248
c0: -1087149978755970537439980
# alpha -6.52
Y1: 25776775063
Y0: -13318154067841040467
# Murphy_E 3.25e-009
# M 27532399991660424287791386334789384309991547594287584614629526678504506374241159243714975923135653028
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 : 195770 x 196001
Polynomial selection time: 0.43 hours.
Total sieving time: 3.28 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.03 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: 3.88 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)

68×10133+319

c122

name 名前Dmitry Domanov
date 日付December 14, 2009 20:26:04 UTC 2009 年 12 月 15 日 (火) 5 時 26 分 4 秒 (日本時間)
composite number 合成数
46569659304886651490438767131553120040397812939779228259856637279984635433151663202704620061831030849474071331459013025813<122>
prime factors 素因数
3775676221594506443793913356406245596727082658528011309483<58>
12334124159941821239867158087321352017654694921147016591540360511<65>
factorization results 素因数分解の結果
N=46569659304886651490438767131553120040397812939779228259856637279984635433151663202704620061831030849474071331459013025813
  ( 122 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=3775676221594506443793913356406245596727082658528011309483 (pp58)
 r2=12334124159941821239867158087321352017654694921147016591540360511 (pp65)
Version: Msieve-1.40
Total time: 4.95 hours.
Scaled time: 4.61 units (timescale=0.932).
Factorization parameters were as follows:
n: 46569659304886651490438767131553120040397812939779228259856637279984635433151663202704620061831030849474071331459013025813
m: 200000000000000000000000000
deg: 5
c5: 2125
c0: 31
skew: 0.43
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 : 160015 x 160240
Total sieving time: 4.77 hours.
Total relation processing time: 0.05 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: 4.95 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+319

c138

name 名前Dmitry Domanov
date 日付December 15, 2009 00:23:33 UTC 2009 年 12 月 15 日 (火) 9 時 23 分 33 秒 (日本時間)
composite number 合成数
125112693418704347666096299976081396846424168828540413239866791779360085371014332762966642748063513090835495207079906533458446026752037681<138>
prime factors 素因数
64577825418450786827092826500152721<35>
121323237318025912960150232176754713404906484098187<51>
15968861963782638135182074151294697288027680707033603<53>
factorization results 素因数分解の結果
N=125112693418704347666096299976081396846424168828540413239866791779360085371014332762966642748063513090835495207079906533458446026752037681
  ( 138 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=64577825418450786827092826500152721 (pp35)
 r2=121323237318025912960150232176754713404906484098187 (pp51)
 r3=15968861963782638135182074151294697288027680707033603 (pp53)
Version: Msieve-1.40
Total time: 5.62 hours.
Scaled time: 5.23 units (timescale=0.930).
Factorization parameters were as follows:
n: 125112693418704347666096299976081396846424168828540413239866791779360085371014332762966642748063513090835495207079906533458446026752037681
m: 10000000000000000000000000000
deg: 5
c5: 68
c0: 31
skew: 0.85
type: snfs
lss: 1
rlim: 1620000
alim: 1620000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor 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, 1510001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 202238 x 202469
Total sieving time: 5.44 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.06 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: 5.62 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)

68×10141+319

c114

name 名前juno1369
date 日付December 16, 2009 02:54:18 UTC 2009 年 12 月 16 日 (水) 11 時 54 分 18 秒 (日本時間)
composite number 合成数
102723954476459774940437404231851091242454241248712021855259577828447262557110513731009155996686407321671608272279<114>
prime factors 素因数
12691592973270826647859080507280059533<38>
8093858248747963723614320594420759566733031650636803553239263136703583574963<76>
factorization results 素因数分解の結果
Number: 75559_141
N=102723954476459774940437404231851091242454241248712021855259577828447262557110513731009155996686407321671608272279
  ( 114 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=12691592973270826647859080507280059533 (pp38)
 r2=8093858248747963723614320594420759566733031650636803553239263136703583574963 (pp76)
Version: Msieve v. 1.43
Total time: 24.33 hours.
Scaled time: 39.86 units (timescale=1.638).
Factorization parameters were as follows:
n: 102723954476459774940437404231851091242454241248712021855259577828447262557110513731009155996686407321671608272279
m: 10000000000000000000000000000
deg: 5
c5: 680
c0: 31
skew: 0.54
type: snfs
lss: 1
rlim: 1680000
alim: 1680000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
qintsize: 5
Factor base limits: 1680000/1680000
Large primes per side: 2
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [840000, 1640001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 253831 x 254056
Total sieving time: 23.80 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.36 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,142.000,5,0,0,0,0,0,0,0,0,1680000,1680000,26,26,48,48,2.3,2.3,100000
total time: 24.33 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GMP-ECM + Msieve v1.43

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)

68×10143+319

c117

name 名前Sinkiti Sibata
date 日付December 15, 2009 12:34:36 UTC 2009 年 12 月 15 日 (火) 21 時 34 分 36 秒 (日本時間)
composite number 合成数
194246026727211654968913305488461548367824105430564236553497494764492736602120625486924694056985227303799150069504743<117>
prime factors 素因数
151840443799935154578099961093885897305133766399969<51>
1279277258851732954711573830325981672571369287299325807035602299847<67>
factorization results 素因数分解の結果
Number: 75559_143
N=194246026727211654968913305488461548367824105430564236553497494764492736602120625486924694056985227303799150069504743
  ( 117 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=151840443799935154578099961093885897305133766399969 (pp51)
 r2=1279277258851732954711573830325981672571369287299325807035602299847 (pp67)
Version: Msieve v. 1.42
Total time: 0.44 hours.
Scaled time: 0.35 units (timescale=0.796).
Factorization parameters were as follows:
name: 75559_143
n: 194246026727211654968913305488461548367824105430564236553497494764492736602120625486924694056985227303799150069504743
m: 20000000000000000000000000000
deg: 5
c5: 2125
c0: 31
skew: 0.43
type: snfs
lss: 1
rlim: 1820000
alim: 1820000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1820000/1820000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [910000, 2010001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 310126 x 310351
Total sieving time: 0.00 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.30 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,144.000,5,0,0,0,0,0,0,0,0,1820000,1820000,26,26,49,49,2.3,2.3,100000
total time: 0.44 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: 6 hours 40 min.

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)

68×10144+319

c138

name 名前Dmitry Domanov
date 日付December 15, 2009 01:17:22 UTC 2009 年 12 月 15 日 (火) 10 時 17 分 22 秒 (日本時間)
composite number 合成数
134534178286319345832622898895901146596617568992049775936590496402371088128677003335143827037621475929875855995224923013657314268043843193<138>
prime factors 素因数
2799109163358252944851206027149459226073495227890800061<55>
48063212413234688284492794240032724922427393061352740109590143514766355380635138413<83>
factorization results 素因数分解の結果
N=134534178286319345832622898895901146596617568992049775936590496402371088128677003335143827037621475929875855995224923013657314268043843193
  ( 138 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=2799109163358252944851206027149459226073495227890800061 (pp55)
 r2=48063212413234688284492794240032724922427393061352740109590143514766355380635138413 (pp83)
Version: Msieve-1.40
Total time: 8.14 hours.
Scaled time: 15.33 units (timescale=1.883).
Factorization parameters were as follows:
n: 134534178286319345832622898895901146596617568992049775936590496402371088128677003335143827037621475929875855995224923013657314268043843193
m: 20000000000000000000000000000
deg: 5
c5: 21250
c0: 31
skew: 0.27
type: snfs
lss: 1
rlim: 1890000
alim: 1890000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1890000/1890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [945000, 2445001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 296638 x 296867
Total sieving time: 7.81 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,145.000,5,0,0,0,0,0,0,0,0,1890000,1890000,26,26,49,49,2.3,2.3,100000
total time: 8.14 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)

68×10147+319

c102

name 名前Dmitry Domanov
date 日付December 15, 2009 06:18:27 UTC 2009 年 12 月 15 日 (火) 15 時 18 分 27 秒 (日本時間)
composite number 合成数
113129062083031078829244010170332132313320715044935113709770505518972384982973295951897659466799453183<102>
prime factors 素因数
3307593458679400865926471611006730181<37>
34202831604401379070594480213491731602791057229970797659864243443<65>
factorization results 素因数分解の結果
N=113129062083031078829244010170332132313320715044935113709770505518972384982973295951897659466799453183
  ( 102 digits)
Divisors found:
 r1=3307593458679400865926471611006730181 (pp37)
 r2=34202831604401379070594480213491731602791057229970797659864243443 (pp65)
Version: Msieve-1.40
Total time: 5.05 hours.
Scaled time: 9.94 units (timescale=1.969).
Factorization parameters were as follows:
name: g2
n: 113129062083031078829244010170332132313320715044935113709770505518972384982973295951897659466799453183
skew: 9373.09
# norm 1.77e+014
c5: 95040
c4: 993742740
c3: -20272824328200
c2: -64071914268138185
c1: 842627983672225941408
c0: -11947393337441418505264
# alpha -6.12
Y1: 113350393709
Y0: -16410706557440026473
# Murphy_E 2.82e-009
# M 92210185113258973315463136410439353282245099000867708977336273077550890938594157433529679528411226221
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 213563 x 213788
Polynomial selection time: 0.50 hours.
Total sieving time: 4.35 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 5.05 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)

68×10148+319

c141

name 名前Sinkiti Sibata
date 日付December 15, 2009 23:25:21 UTC 2009 年 12 月 16 日 (水) 8 時 25 分 21 秒 (日本時間)
composite number 合成数
668396415648338433890954543438052444688739402620290681217271324456091212669680527046851157307702894290060746844549914253438855080660983466907<141>
prime factors 素因数
92800742277266402244455752296406105709<38>
5095578428923988067283965606586821860079463<43>
1413478385719658305746935999570713543673849123265009091961921<61>
factorization results 素因数分解の結果
Number: 75559_148
N=668396415648338433890954543438052444688739402620290681217271324456091212669680527046851157307702894290060746844549914253438855080660983466907
  ( 141 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=92800742277266402244455752296406105709 (pp38)
 r2=5095578428923988067283965606586821860079463 (pp43)
 r3=1413478385719658305746935999570713543673849123265009091961921 (pp61)
Version: Msieve-1.40
Total time: 15.20 hours.
Scaled time: 30.49 units (timescale=2.006).
Factorization parameters were as follows:
name: 75559_148
n: 668396415648338433890954543438052444688739402620290681217271324456091212669680527046851157307702894290060746844549914253438855080660983466907
m: 200000000000000000000000000000
deg: 5
c5: 2125
c0: 31
skew: 0.43
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, 2800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 361343 x 361575
Total sieving time: 14.29 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.46 hours.
Time per square root: 0.36 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: 15.20 hours.
 --------- CPU info (if available) ----------

ECM

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

68×10151+319

c125

name 名前Sinkiti Sibata
date 日付January 8, 2010 13:07:36 UTC 2010 年 1 月 8 日 (金) 22 時 7 分 36 秒 (日本時間)
composite number 合成数
46135638687820929838812066263191868163179729504358481810942956823229760345836979303232742885784566508003068751093390943801141<125>
prime factors 素因数
15468762660295908772583556219893591874991586413410861061<56>
2982503494364065761066414097914469989180721776314945400119460545063281<70>
factorization results 素因数分解の結果
Number: 75559_151
N=46135638687820929838812066263191868163179729504358481810942956823229760345836979303232742885784566508003068751093390943801141
  ( 125 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=15468762660295908772583556219893591874991586413410861061 (pp56)
 r2=2982503494364065761066414097914469989180721776314945400119460545063281 (pp70)
Version: Msieve v. 1.42
Total time: 0.74 hours.
Scaled time: 0.59 units (timescale=0.796).
Factorization parameters were as follows:
name: 75559_151
n: 46135638687820929838812066263191868163179729504358481810942956823229760345836979303232742885784566508003068751093390943801141
m: 1000000000000000000000000000000
deg: 5
c5: 680
c0: 31
skew: 0.54
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 1950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 448716 x 448944
Total sieving time: 0.00 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.59 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,152.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 0.74 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.. 3721.60 BogoMIPS (lpj=1860802)
Calibrating delay using timer specific routine.. 3721.15 BogoMIPS (lpj=1860575)
Total of 2 processors activated (7442.75 BogoMIPS).

Total time: 12 hours 48 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 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)

68×10152+319

c108

name 名前Jeff Gilchrist
date 日付January 7, 2010 16:30:21 UTC 2010 年 1 月 8 日 (金) 1 時 30 分 21 秒 (日本時間)
composite number 合成数
255939850030986695548288189252788447612628484203239494608773140841770157536175882320879124150942934059212023<108>
prime factors 素因数
3066548507815414054489580896722604363076767117<46>
83461862539822110115227266646498778051925156668551304406870419<62>
factorization results 素因数分解の結果
Number: 75559_152
N = 255939850030986695548288189252788447612628484203239494608773140841770157536175882320879124150942934059212023 (108 digits)
Divisors found:
r1=3066548507815414054489580896722604363076767117 (pp46)
r2=83461862539822110115227266646498778051925156668551304406870419 (pp62)
Version: Msieve v. 1.43
Total time: 2.82 hours.
Factorization parameters were as follows:
n: 255939850030986695548288189252788447612628484203239494608773140841770157536175882320879124150942934059212023
Y0: -800216304290533692855
Y1: 163356992051
c0: 845997905857940790390979088
c1: -13717740524015388769888
c2: -939238414672831673
c3: -1194664705538
c4: 55685724
c5: 780
skew: 75187.910000
type: gnfs
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [1250000, 2599997)
Relations: 544810 relations
Max relations in full relation-set: 0
Pruned matrix : 322571 x 322798
Polynomial selection time: 0.00 hours.
Total sieving time: 2.65 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.09 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: gnfs,107,5,59,2000,0.0006,0.25,200,15,15000,2000,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 2.82 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
facmsieve.py + ggnfs + msieve 1.43
execution environment 実行環境
Core2 Quad @ 3.4GHz Windows7 64bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)

68×10153+319

c147

name 名前Dmitry Domanov
date 日付January 8, 2010 19:19:06 UTC 2010 年 1 月 9 日 (土) 4 時 19 分 6 秒 (日本時間)
composite number 合成数
133898907352819645258592333743688195033415033523846077086030227162430285410817905781825116421112512579777732027671697845253690452273627765255374743<147>
prime factors 素因数
82218149033057374546199124409634989978182904378229<50>
1628580902483988497313313803857300685687348068890318508760551715975257392846938924670363754424667<97>
factorization results 素因数分解の結果
N=133898907352819645258592333743688195033415033523846077086030227162430285410817905781825116421112512579777732027671697845253690452273627765255374743
  ( 147 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=82218149033057374546199124409634989978182904378229 (pp50)
 r2=1628580902483988497313313803857300685687348068890318508760551715975257392846938924670363754424667 (pp97)
Version: Msieve-1.40
Total time: 21.86 hours.
Scaled time: 20.39 units (timescale=0.933).
Factorization parameters were as follows:
n: 133898907352819645258592333743688195033415033523846077086030227162430285410817905781825116421112512579777732027671697845253690452273627765255374743
m: 2000000000000000000000000000000
deg: 5
c5: 2125
c0: 31
skew: 0.43
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1350000, 2250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 558931 x 559172
Total sieving time: 20.84 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.58 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
snfs,154.000,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 21.86 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 KamadaJanuary 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)

68×10154+319

c137

name 名前Sinkiti Sibata
date 日付January 9, 2010 09:08:10 UTC 2010 年 1 月 9 日 (土) 18 時 8 分 10 秒 (日本時間)
composite number 合成数
18344313736334581844672411027210518797116935505951994937738808696405178565439743849566462515848470730058197471467949388054772744631112747<137>
prime factors 素因数
11022465325095066543540297455424510467312797832433061<53>
1664265950972847885387347882940298622784758485773844458928984448734183025721689674127<85>
factorization results 素因数分解の結果
Number: 75559_154
N=18344313736334581844672411027210518797116935505951994937738808696405178565439743849566462515848470730058197471467949388054772744631112747
  ( 137 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=11022465325095066543540297455424510467312797832433061 (pp53)
 r2=1664265950972847885387347882940298622784758485773844458928984448734183025721689674127 (pp85)
Version: Msieve v. 1.42
Total time: 1.29 hours.
Scaled time: 0.88 units (timescale=0.682).
Factorization parameters were as follows:
name: 75559_154
n: 18344313736334581844672411027210518797116935505951994937738808696405178565439743849566462515848470730058197471467949388054772744631112747
m: 2000000000000000000000000000000
deg: 5
c5: 21250
c0: 31
skew: 0.27
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 538941 x 539166
Total sieving time: 0.00 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.88 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
snfs,155.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 1.29 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.. 3721.60 BogoMIPS (lpj=1860802)
Calibrating delay using timer specific routine.. 3721.15 BogoMIPS (lpj=1860575)
Total of 2 processors activated (7442.75 BogoMIPS).

Total time: 19 hours 30 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 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)

68×10157+319

c140

name 名前Jo Yeong Uk
date 日付January 8, 2010 04:18:44 UTC 2010 年 1 月 8 日 (金) 13 時 18 分 44 秒 (日本時間)
composite number 合成数
15945580263882924587942107014628810944272983990706526019380492452889574401932551629985818380998061458531137138325192694162412930697513173511<140>
prime factors 素因数
11697502740342752980980534606010005469862150187512950202204837<62>
1363161062479537155485261537988659688170672775379991179896801901337611497107003<79>
factorization results 素因数分解の結果
Number: 75559_157
N=15945580263882924587942107014628810944272983990706526019380492452889574401932551629985818380998061458531137138325192694162412930697513173511
  ( 140 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=11697502740342752980980534606010005469862150187512950202204837
 r2=1363161062479537155485261537988659688170672775379991179896801901337611497107003
Version: 
Total time: 13.79 hours.
Scaled time: 32.96 units (timescale=2.391).
Factorization parameters were as follows:
n: 15945580263882924587942107014628810944272983990706526019380492452889574401932551629985818380998061458531137138325192694162412930697513173511
m: 20000000000000000000000000000000
deg: 5
c5: 425
c0: 62
skew: 0.68
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1600000, 2800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8580901
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 518765 x 519013
Total sieving time: 12.60 hours.
Total relation processing time: 0.51 hours.
Matrix solve time: 0.55 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 13.79 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673795)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672307)
Calibrating delay using timer specific routine.. 5237.88 BogoMIPS (lpj=2618943)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)

68×10158+319

c145

name 名前Sinkiti Sibata
date 日付January 9, 2010 04:21:07 UTC 2010 年 1 月 9 日 (土) 13 時 21 分 7 秒 (日本時間)
composite number 合成数
9386189103763517006469621987236712026924418927722987455936486310497397186473210344888251208889596115066227642311412902898815314201712761292820541<145>
prime factors 素因数
73328321185444815750224532922188020161<38>
128002236407760732176259025793567865308024528721338109824129676723776183642532446189438654472977861803187581<108>
factorization results 素因数分解の結果
Number: 75559_158
N=9386189103763517006469621987236712026924418927722987455936486310497397186473210344888251208889596115066227642311412902898815314201712761292820541
  ( 145 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=73328321185444815750224532922188020161 (pp38)
 r2=128002236407760732176259025793567865308024528721338109824129676723776183642532446189438654472977861803187581 (pp108)
Version: Msieve-1.40
Total time: 25.02 hours.
Scaled time: 82.28 units (timescale=3.289).
Factorization parameters were as follows:
name: 75559_158
n: 9386189103763517006469621987236712026924418927722987455936486310497397186473210344888251208889596115066227642311412902898815314201712761292820541
m: 20000000000000000000000000000000
deg: 5
c5: 2125
c0: 31
skew: 0.43
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1600000, 3000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 539820 x 540068
Total sieving time: 24.35 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.54 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,159.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 25.02 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 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)

68×10160+319

c148

name 名前Sinkiti Sibata
date 日付January 10, 2010 03:20:03 UTC 2010 年 1 月 10 日 (日) 12 時 20 分 3 秒 (日本時間)
composite number 合成数
2905903977737294604429367676106596707257663422816064580874918581504250072710025033126116197627958793054194305079850513932687865185370349806407284107<148>
prime factors 素因数
1095452786451857479845336990843869<34>
3031367541557656033489094215005778244863223<43>
875082500209732135370222185646509772899320630788491955310134093364613361<72>
factorization results 素因数分解の結果
Number: 75559_160
N=2905903977737294604429367676106596707257663422816064580874918581504250072710025033126116197627958793054194305079850513932687865185370349806407284107
  ( 148 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=1095452786451857479845336990843869 (pp34)
 r2=3031367541557656033489094215005778244863223 (pp43)
 r3=875082500209732135370222185646509772899320630788491955310134093364613361 (pp72)
Version: Msieve-1.40
Total time: 21.26 hours.
Scaled time: 71.81 units (timescale=3.378).
Factorization parameters were as follows:
name: 75559_160
n: 2905903977737294604429367676106596707257663422816064580874918581504250072710025033126116197627958793054194305079850513932687865185370349806407284107
m: 100000000000000000000000000000000
deg: 5
c5: 68
c0: 31
skew: 0.85
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, 2850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 601177 x 601425
Total sieving time: 20.35 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.68 hours.
Time per square root: 0.15 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: 21.26 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 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)

68×10161+319

c147

name 名前Sinkiti Sibata
date 日付January 14, 2010 03:30:18 UTC 2010 年 1 月 14 日 (木) 12 時 30 分 18 秒 (日本時間)
composite number 合成数
553577502400016983116966252870489851648954053573782982915446534323429934236557300057385205000541926886038218662850719203665276945219040612758411713<147>
prime factors 素因数
48071794007779724065612897321655921<35>
11515640591870327886524141669777247519895269606224898627256472886326066731943885383633870183154309518430351439953<113>
factorization results 素因数分解の結果
Number: 75559_161
N=553577502400016983116966252870489851648954053573782982915446534323429934236557300057385205000541926886038218662850719203665276945219040612758411713
  ( 147 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=48071794007779724065612897321655921 (pp35)
 r2=11515640591870327886524141669777247519895269606224898627256472886326066731943885383633870183154309518430351439953 (pp113)
Version: Msieve v. 1.42
Total time: 1.74 hours.
Scaled time: 1.19 units (timescale=0.682).
Factorization parameters were as follows:
name: 75559_161
n: 553577502400016983116966252870489851648954053573782982915446534323429934236557300057385205000541926886038218662850719203665276945219040612758411713
m: 100000000000000000000000000000000
deg: 5
c5: 680
c0: 31
skew: 0.54
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 3200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 663034 x 663260
Total sieving time: 0.00 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.42 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
snfs,162.000,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 1.74 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.. 3721.24 BogoMIPS (lpj=1860624)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860570)
Total of 2 processors activated (7442.38 BogoMIPS).

Total time: 27 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)

68×10163+319

c158

name 名前Sinkiti Sibata
date 日付January 12, 2010 23:09:39 UTC 2010 年 1 月 13 日 (水) 8 時 9 分 39 秒 (日本時間)
composite number 合成数
71225138367924136010267313181437346335691828098966491819426258467019252050157999352898669357301011365541969360411874026611597065566196381742022339345677697241<158>
prime factors 素因数
25778848989417544654934256120521125874420343960707<50>
2762929345571740322128112637154510922635299889284102375928162038568887390516964428650356422420285771265986163<109>
factorization results 素因数分解の結果
Number: 75559_163
N=71225138367924136010267313181437346335691828098966491819426258467019252050157999352898669357301011365541969360411874026611597065566196381742022339345677697241
  ( 158 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=25778848989417544654934256120521125874420343960707 (pp50)
 r2=2762929345571740322128112637154510922635299889284102375928162038568887390516964428650356422420285771265986163 (pp109)
Version: Msieve v. 1.42
Total time: 2.40 hours.
Scaled time: 1.69 units (timescale=0.703).
Factorization parameters were as follows:
name: 75559_163
n: 71225138367924136010267313181437346335691828098966491819426258467019252050157999352898669357301011365541969360411874026611597065566196381742022339345677697241
m: 200000000000000000000000000000000
deg: 5
c5: 2125
c0: 31
skew: 0.43
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 3850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 785034 x 785259
Total sieving time: 0.00 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.93 hours.
Time per square root: 0.36 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 2.40 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.. 3721.24 BogoMIPS (lpj=1860624)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860570)
Total of 2 processors activated (7442.38 BogoMIPS).

Total time: 31 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)

68×10164+319

c139

name 名前Sinkiti Sibata
date 日付January 18, 2010 09:18:10 UTC 2010 年 1 月 18 日 (月) 18 時 18 分 10 秒 (日本時間)
composite number 合成数
1608804460096264378397138672011294778460135931245695716306215962284303423588589631099121957471146989732262216127192715757819174215713855657<139>
prime factors 素因数
12456433658200646576551030208059675421152951528393<50>
129154499934827973065985174702694429705210617787771915035493438889553045978062114376250849<90>
factorization results 素因数分解の結果
Number: 75559_164
N=1608804460096264378397138672011294778460135931245695716306215962284303423588589631099121957471146989732262216127192715757819174215713855657
  ( 139 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=12456433658200646576551030208059675421152951528393 (pp50)
 r2=129154499934827973065985174702694429705210617787771915035493438889553045978062114376250849 (pp90)
Version: Msieve v. 1.42
Total time: 3.09 hours.
Scaled time: 2.46 units (timescale=0.796).
Factorization parameters were as follows:
name: 75559_164
n: 1608804460096264378397138672011294778460135931245695716306215962284303423588589631099121957471146989732262216127192715757819174215713855657
m: 200000000000000000000000000000000
deg: 5
c5: 21250
c0: 31
skew: 0.27
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 4350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 764544 x 764770
Total sieving time: 0.00 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.92 hours.
Time per square root: 1.07 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 3.09 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.. 3721.24 BogoMIPS (lpj=1860624)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860570)
Total of 2 processors activated (7442.38 BogoMIPS).

Total time: 44 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)

68×10165+319

c152

name 名前Sinkiti Sibata
date 日付January 18, 2010 11:19:23 UTC 2010 年 1 月 18 日 (月) 20 時 19 分 23 秒 (日本時間)
composite number 合成数
35489120224403338841925407137637722809784841962769431290083937930657358910066076154232663077276975153524038822211799334563878024169679019089293701650309<152>
prime factors 素因数
355674358958133667312286015130322307809<39>
99779810747000611292804702833771932629254341695881031817521506471158875969541001472182835108014909843805173982501<113>
factorization results 素因数分解の結果
Number: 75559_165
N=35489120224403338841925407137637722809784841962769431290083937930657358910066076154232663077276975153524038822211799334563878024169679019089293701650309
  ( 152 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=355674358958133667312286015130322307809 (pp39)
 r2=99779810747000611292804702833771932629254341695881031817521506471158875969541001472182835108014909843805173982501 (pp113)
Version: Msieve-1.40
Total time: 35.20 hours.
Scaled time: 114.64 units (timescale=3.257).
Factorization parameters were as follows:
name: 75559_165
n: 35489120224403338841925407137637722809784841962769431290083937930657358910066076154232663077276975153524038822211799334563878024169679019089293701650309
m: 1000000000000000000000000000000000
deg: 5
c5: 68
c0: 31
skew: 0.85
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor 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, 3900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 693578 x 693826
Total sieving time: 33.81 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.92 hours.
Time per square root: 0.37 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: 35.20 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 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)

68×10166+319

c143

name 名前Sinkiti Sibata
date 日付January 21, 2010 05:29:00 UTC 2010 年 1 月 21 日 (木) 14 時 29 分 0 秒 (日本時間)
composite number 合成数
40275426073432054519455343303999221015666221031711393090432303957020471302864549638642554687143352774795306095896437787770386278095668353828113<143>
prime factors 素因数
80578744760952371427373514535631543928015879732632635221<56>
499826923252707587090953960357185439895492244316199608904802281442000101723938708213453<87>
factorization results 素因数分解の結果
Number: 75559_166
N=40275426073432054519455343303999221015666221031711393090432303957020471302864549638642554687143352774795306095896437787770386278095668353828113
  ( 143 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=80578744760952371427373514535631543928015879732632635221 (pp56)
 r2=499826923252707587090953960357185439895492244316199608904802281442000101723938708213453 (pp87)
Version: Msieve-1.40
Total time: 42.54 hours.
Scaled time: 135.06 units (timescale=3.175).
Factorization parameters were as follows:
name: 75559_166
n: 40275426073432054519455343303999221015666221031711393090432303957020471302864549638642554687143352774795306095896437787770386278095668353828113
m: 1000000000000000000000000000000000
deg: 5
c5: 680
c0: 31
skew: 0.54
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2200000, 4300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 819350 x 819597
Total sieving time: 41.03 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.33 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,167.000,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 42.54 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 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)

68×10169+319

c154

name 名前Sinkiti Sibata
date 日付January 30, 2010 05:31:04 UTC 2010 年 1 月 30 日 (土) 14 時 31 分 4 秒 (日本時間)
composite number 合成数
1808655750876390784791849659204339265925239910396022260759891764309537335793691228107320268698942387056203487507308088940610084794488998308108346734625877<154>
prime factors 素因数
283457397852751160484971888415241693410618565899738552068007784484183<69>
6380696939213211166173503335703558581536931090717054727194131090693849301100761760819<85>
factorization results 素因数分解の結果
Number: 75559_169
N=1808655750876390784791849659204339265925239910396022260759891764309537335793691228107320268698942387056203487507308088940610084794488998308108346734625877
  ( 154 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=283457397852751160484971888415241693410618565899738552068007784484183 (pp69)
 r2=6380696939213211166173503335703558581536931090717054727194131090693849301100761760819 (pp85)
Version: Msieve-1.40
Total time: 86.51 hours.
Scaled time: 178.39 units (timescale=2.062).
Factorization parameters were as follows:
name: 75559_169
n: 1808655750876390784791849659204339265925239910396022260759891764309537335793691228107320268698942387056203487507308088940610084794488998308108346734625877
m: 2000000000000000000000000000000000
deg: 5
c5: 21250
c0: 31
skew: 0.27
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2450000, 5950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 952597 x 952845
Total sieving time: 84.07 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.16 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,170.000,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 86.51 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
351e6118Makoto KamadaJanuary 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJanuary 19, 2010 13:12:46 UTC 2010 年 1 月 19 日 (火) 22 時 12 分 46 秒 (日本時間)

68×10170+319

c157

name 名前Wataru Sakai
date 日付January 14, 2010 09:26:32 UTC 2010 年 1 月 14 日 (木) 18 時 26 分 32 秒 (日本時間)
composite number 合成数
3649977317895785454994504472337118641446834205868785185896094136059214636230315655472536070994030281765296982479747955225070883834749334416128257412365672061<157>
prime factors 素因数
15840405386799905351321705220166339554928888871637832480189<59>
230421963880885093215892007161547800242304721770828964323069609751493065355934583868511037346445249<99>
factorization results 素因数分解の結果
Number: 75559_170
N=3649977317895785454994504472337118641446834205868785185896094136059214636230315655472536070994030281765296982479747955225070883834749334416128257412365672061
  ( 157 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=15840405386799905351321705220166339554928888871637832480189
 r2=230421963880885093215892007161547800242304721770828964323069609751493065355934583868511037346445249
Version: 
Total time: 68.71 hours.
Scaled time: 138.31 units (timescale=2.013).
Factorization parameters were as follows:
n: 3649977317895785454994504472337118641446834205868785185896094136059214636230315655472536070994030281765296982479747955225070883834749334416128257412365672061
m: 10000000000000000000000000000000000
deg: 5
c5: 68
c0: 31
skew: 0.85
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 4750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 671541 x 671789
Total sieving time: 68.71 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,171,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 68.71 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 KamadaJanuary 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)

68×10171+319

c89

name 名前Max Dettweiler
date 日付January 6, 2010 23:24:46 UTC 2010 年 1 月 7 日 (木) 8 時 24 分 46 秒 (日本時間)
composite number 合成数
39040707289273632778460620598250163172596246131130887288115703980282481446207369953449209<89>
prime factors 素因数
17998619623946360963314395459037<32>
2169094525300802085514298231855791592637762096538512529357<58>
factorization results 素因数分解の結果
Number: test
N=39040707289273632778460620598250163172596246131130887288115703980282481446207369953449209
  ( 89 digits)
Divisors found:
 r1=17998619623946360963314395459037 (pp32)
 r2=2169094525300802085514298231855791592637762096538512529357 (pp58)
Version: Msieve v. 1.43
Total time: 0.70 hours.
Scaled time: 0.75 units (timescale=1.076).
Factorization parameters were as follows:
n: 39040707289273632778460620598250163172596246131130887288115703980282481446207369953449209
Y0: -1746073688868271112858
Y1:  252961618559
c0: -256162282805196755758395
c1: -22214361751002378816
c2:  151155225501513
c3:  1209185578
c4:  4200
skew: 144860.53
type: gnfs
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [300000, 590001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 69676 x 69908
Total sieving time: 0.65 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:
gnfs,88,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,600000,600000,25,25,43,43,2.2,2.2,10000
total time: 0.70 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS via factMsieve.pl and msieve v1.43
execution environment 実行環境
Core 2 Duo 2.2Ghz, Windows XP 32-bit with 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 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)

68×10172+319

c157

name 名前Robert Backstrom
date 日付June 6, 2010 01:54:33 UTC 2010 年 6 月 6 日 (日) 10 時 54 分 33 秒 (日本時間)
composite number 合成数
2418331539984909683027852728858694391948257474501067715741912069182647900443863585938543383112829491682320590625286900433966320110454138825506895220568843923<157>
prime factors 素因数
1511713810285513565157963808758171631103<40>
1599728416536834785902972522070621068904029913664440014278464647023235611831792121484768285183895203711350218917592941<118>
factorization results 素因数分解の結果
Number: n
N=2418331539984909683027852728858694391948257474501067715741912069182647900443863585938543383112829491682320590625286900433966320110454138825506895220568843923
  ( 157 digits)
SNFS difficulty: 173 digits.
Divisors found:

Sun Jun  6 06:28:19 2010  prp40 factor: 1511713810285513565157963808758171631103
Sun Jun  6 06:28:19 2010  prp118 factor: 1599728416536834785902972522070621068904029913664440014278464647023235611831792121484768285183895203711350218917592941
Sun Jun  6 06:28:19 2010  elapsed time 02:19:23 (Msieve 1.42 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=0.884).
Factorization parameters were as follows:
name: KA_7_5_171_9
n: 2418331539984909683027852728858694391948257474501067715741912069182647900443863585938543383112829491682320590625286900433966320110454138825506895220568843923
m: 10000000000000000000000000000000000
deg: 5
c5: 6800
c0: 31
skew: 0.34
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1282185 hash collisions in 11369508 relations
Msieve: matrix is 1016458 x 1016686 (288.3 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,173,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2034788k/2097088k available (3786k kernel code, 388k absent, 61912k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6026.89 BogoMIPS (lpj=3013446)
Calibrating delay using timer specific routine.. 6026.96 BogoMIPS (lpj=3013483)
Total of 2 processors activated (12053.85 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)
786Wataru SakaiJanuary 15, 2010 11:53:13 UTC 2010 年 1 月 15 日 (金) 20 時 53 分 13 秒 (日本時間)
403e62104Wataru SakaiJune 3, 2010 06:59:12 UTC 2010 年 6 月 3 日 (木) 15 時 59 分 12 秒 (日本時間)

68×10175+319

c176

name 名前Serge Batalov
date 日付January 6, 2010 20:25:48 UTC 2010 年 1 月 7 日 (木) 5 時 25 分 48 秒 (日本時間)
composite number 合成数
75555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559<176>
prime factors 素因数
2395077095051138005564156368083<31>
composite cofactor 合成数の残り
31546189353016357224564862995555330888487788293584943389741151999434894927794867842480812908434983535500345668123938555034082331612238410469068573<146>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1622233251
Step 1 took 9197ms
Step 2 took 4668ms
********** Factor found in step 2: 2395077095051138005564156368083
Found probable prime factor of 31 digits: 2395077095051138005564156368083
Composite cofactor has 146 digits

c146

name 名前Ignacio Santos
date 日付October 21, 2010 05:33:05 UTC 2010 年 10 月 21 日 (木) 14 時 33 分 5 秒 (日本時間)
composite number 合成数
31546189353016357224564862995555330888487788293584943389741151999434894927794867842480812908434983535500345668123938555034082331612238410469068573<146>
prime factors 素因数
53565072385075251328810654692779057<35>
588932077347589293342933613425803116120293162351120862757686128076219759138379641631844208351380356322309372589<111>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1539116561
Step 1 took 6896ms
Step 2 took 4945ms
********** Factor found in step 2: 53565072385075251328810654692779057
Found probable prime factor of 35 digits: 53565072385075251328810654692779057
Probable prime cofactor 588932077347589293342933613425803116120293162351120862757686128076219759138379641631844208351380356322309372589 has 111 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 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)

68×10178+319

c164

name 名前Dmitry Domanov
date 日付April 1, 2012 07:49:53 UTC 2012 年 4 月 1 日 (日) 16 時 49 分 53 秒 (日本時間)
composite number 合成数
50520805675637463215076112469216980572057037216131090958719557212455038440370001832918831962796947061961777129603383868387639267948419146898640599235563198927055791<164>
prime factors 素因数
13865253947605103475050470618663265121820537<44>
3643698547934907763120275866088448875539173984364806564306268112236016643991096264265112066755084102622553968840760087143<121>
factorization results 素因数分解の結果
N=50520805675637463215076112469216980572057037216131090958719557212455038440370001832918831962796947061961777129603383868387639267948419146898640599235563198927055791
  ( 164 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=13865253947605103475050470618663265121820537 (pp44)
 r2=3643698547934907763120275866088448875539173984364806564306268112236016643991096264265112066755084102622553968840760087143 (pp121)
Version: Msieve-1.40
Total time: 111.15 hours.
Scaled time: 216.31 units (timescale=1.946).
Factorization parameters were as follows:
n: 50520805675637463215076112469216980572057037216131090958719557212455038440370001832918831962796947061961777129603383868387639267948419146898640599235563198927055791
m: 200000000000000000000000000000000000
deg: 5
c5: 2125
c0: 31
skew: 0.43
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 320000Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3500000, 8940001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1351014 x 1351242
Total sieving time: 108.94 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.89 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,100000
total time: 111.15 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
351e6418118Makoto KamadaJanuary 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 21, 2010 05:36:01 UTC 2010 年 10 月 21 日 (木) 14 時 36 分 1 秒 (日本時間)
403e6110Ignacio SantosOctober 21, 2010 05:36:01 UTC 2010 年 10 月 21 日 (木) 14 時 36 分 1 秒 (日本時間)
4511e61432 / 443732Ignacio SantosOctober 21, 2010 05:36:01 UTC 2010 年 10 月 21 日 (木) 14 時 36 分 1 秒 (日本時間)
400Dmitry DomanovMarch 9, 2012 16:17:50 UTC 2012 年 3 月 10 日 (土) 1 時 17 分 50 秒 (日本時間)
600Dmitry DomanovMarch 23, 2012 21:51:37 UTC 2012 年 3 月 24 日 (土) 6 時 51 分 37 秒 (日本時間)
400Dmitry DomanovMarch 26, 2012 12:10:23 UTC 2012 年 3 月 26 日 (月) 21 時 10 分 23 秒 (日本時間)

68×10180+319

c118

name 名前Serge Batalov
date 日付January 6, 2010 20:21:44 UTC 2010 年 1 月 7 日 (木) 5 時 21 分 44 秒 (日本時間)
composite number 合成数
7575330619941617806684816115543271291132602999530081977393338178577326307991330775310172257039105276549847622160165769<118>
prime factors 素因数
258066863061368673931477613551<30>
29354139195082141211917678319243515801342895038289724444976007355651453496395322481293319<89>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3068496294
Step 1 took 5717ms
Step 2 took 3392ms
********** Factor found in step 2: 258066863061368673931477613551
Found probable prime factor of 30 digits: 258066863061368673931477613551
Probable prime cofactor has 89 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 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)

68×10181+319

c170

name 名前Robert Backstrom
date 日付February 20, 2012 10:48:26 UTC 2012 年 2 月 20 日 (月) 19 時 48 分 26 秒 (日本時間)
composite number 合成数
11287671460626862405496713235084650013229867168718448839445354684844867480404556273347211186306879547699631449931855971964170732585447984294869035560172687818249190178341<170>
prime factors 素因数
30892551616236923436025340800976589698117921459723521<53>
365384886326260469256168517135197155830225315971710619255638776419688734963343780011567192402808738784999893201456421<117>
factorization results 素因数分解の結果
Number: n
N=11287671460626862405496713235084650013229867168718448839445354684844867480404556273347211186306879547699631449931855971964170732585447984294869035560172687818249190178341
  ( 170 digits)
SNFS difficulty: 182 digits.
Divisors found:

Mon Feb 20 20:36:43 2012  prp53 factor: 30892551616236923436025340800976589698117921459723521
Mon Feb 20 20:36:43 2012  prp117 factor: 365384886326260469256168517135197155830225315971710619255638776419688734963343780011567192402808738784999893201456421
Mon Feb 20 20:36:43 2012  elapsed time 02:27:04 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.658).
Factorization parameters were as follows:
name: KA_75559_181
n: 11287671460626862405496713235084650013229867168718448839445354684844867480404556273347211186306879547699631449931855971964170732585447984294869035560172687818249190178341
m: 1000000000000000000000000000000000000
#  c170, diff: 182.83
skew: 0.54
deg: 5
c5: 680
c0: 31
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6116160 hash collisions in 78978229 relations (75776953 unique)
Msieve: matrix is 1096763 x 1097011 (301.8 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.76 BogoMIPS (lpj=2797881)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797552)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44761.52 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJanuary 16, 2010 02:49:49 UTC 2010 年 1 月 16 日 (土) 11 時 49 分 49 秒 (日本時間)

68×10182+319

c172

name 名前matsui
date 日付September 13, 2010 10:11:43 UTC 2010 年 9 月 13 日 (月) 19 時 11 分 43 秒 (日本時間)
composite number 合成数
1297228881395028315072575789234915533477727010100526215941983256199374077724182953515593161656326603550174158562250539520216095919920657891693196728152214563827037573484547<172>
prime factors 素因数
126020574435796071528498255528304630987754278467012391916801053328594136540377<78>
10293786448782852072549026342962091672293802694667999893350815531640258168509886632408754545211<95>
factorization results 素因数分解の結果
N=1297228881395028315072575789234915533477727010100526215941983256199374077724182953515593161656326603550174158562250539520216095919920657891693196728152214563827037573484547
  ( 172 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=126020574435796071528498255528304630987754278467012391916801053328594136540377 (pp78)
 r2=10293786448782852072549026342962091672293802694667999893350815531640258168509886632408754545211 (pp95)
Version: Msieve v. 1.47
Total time:
Scaled time: 34.34 units (timescale=1.351).
Factorization parameters were as follows:
n: 1297228881395028315072575789234915533477727010100526215941983256199374077724182953515593161656326603550174158562250539520216095919920657891693196728152214563827037573484547
m: 1000000000000000000000000000000000000
deg: 5
c5: 6800
c0: 31
skew: 0.34
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
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, 11250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1508762 x 1508990
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
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:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJanuary 15, 2010 11:54:26 UTC 2010 年 1 月 15 日 (金) 20 時 54 分 26 秒 (日本時間)

68×10184+319

c165

name 名前Dmitry Domanov
date 日付March 9, 2012 16:33:29 UTC 2012 年 3 月 10 日 (土) 1 時 33 分 29 秒 (日本時間)
composite number 合成数
247520864288237795126511852360532502615574007465478813144522948238437263311885199506689003825879230018636443642127548122938854741851999617020002039612320369071967079<165>
prime factors 素因数
1500547032025407294835021149944478071268263<43>
composite cofactor 合成数の残り
164953752868471747104318270340806560705451109772340985479966979342909432581542259172270549461316299403442890142954323808833<123>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1915929502
Step 1 took 73466ms
Step 2 took 27270ms
********** Factor found in step 2: 1500547032025407294835021149944478071268263
Found probable prime factor of 43 digits: 1500547032025407294835021149944478071268263

c123

name 名前Warut Roonguthai
date 日付March 10, 2012 18:18:19 UTC 2012 年 3 月 11 日 (日) 3 時 18 分 19 秒 (日本時間)
composite number 合成数
164953752868471747104318270340806560705451109772340985479966979342909432581542259172270549461316299403442890142954323808833<123>
prime factors 素因数
661655977199274612098656251197749970613985041419185441<54>
249304409773043896424002985083997763054764804947150081971644028494113<69>
factorization results 素因数分解の結果
N = 164953752868471747104318270340806560705451109772340985479966979342909432581542259172270549461316299403442890142954323808833 (123 digits)
Divisors found:
r1=661655977199274612098656251197749970613985041419185441 (pp54)
r2=249304409773043896424002985083997763054764804947150081971644028494113 (pp69)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 11.03 hours.
Factorization parameters were as follows:
n: 164953752868471747104318270340806560705451109772340985479966979342909432581542259172270549461316299403442890142954323808833
Y0: -593289117606489728854431
Y1: 12741606542119
c0: 6130540005631334960981650016800
c1: -99377686030782141741399430
c2: -887566980659514889923
c3: 803364749131690
c4: 1789084994
c5: 2244
skew: 416805.40 
type: gnfs
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10592704
Relations: 1577584 relations
Pruned matrix : 883848 x 884096
Polynomial selection time: 0.00 hours.
Total sieving time: 10.29 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.63 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: gnfs,122,5,65,2000,1e-05,0.28,250,20,50000,3600,4900000,4900000,27,27,53,53,2.5,2.5,100000
total time: 11.03 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
351e6118Makoto KamadaJanuary 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJanuary 15, 2010 11:54:09 UTC 2010 年 1 月 15 日 (金) 20 時 54 分 9 秒 (日本時間)
4511e6400 / 3963Dmitry DomanovMarch 9, 2012 16:18:09 UTC 2012 年 3 月 10 日 (土) 1 時 18 分 9 秒 (日本時間)

68×10185+319

c151

name 名前Jo Yeong Uk
date 日付December 7, 2014 00:50:12 UTC 2014 年 12 月 7 日 (日) 9 時 50 分 12 秒 (日本時間)
composite number 合成数
5379007919154410815903965494819684165029618594960603180375501337746178963098066874353226235212765599994897642423893769280138941228775664843516058897669<151>
prime factors 素因数
68768150972992151848173316123639116791968840996837<50>
78219464142157177178903629144634491379771133337371455585528827916519136730339016775088288954156863137<101>
factorization results 素因数分解の結果
Number: 75559_185
N=5379007919154410815903965494819684165029618594960603180375501337746178963098066874353226235212765599994897642423893769280138941228775664843516058897669
  ( 151 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=68768150972992151848173316123639116791968840996837
 r2=78219464142157177178903629144634491379771133337371455585528827916519136730339016775088288954156863137
Version: 
Total time: 64.88 hours.
Scaled time: 327.76 units (timescale=5.052).
Factorization parameters were as follows:
n: 5379007919154410815903965494819684165029618594960603180375501337746178963098066874353226235212765599994897642423893769280138941228775664843516058897669
m: 10000000000000000000000000000000000000
deg: 5
c5: 68
c0: 31
skew: 0.85
# Murphy_E = 6.895e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 7000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20085959
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1571768 x 1572016
Total sieving time: 60.05 hours.
Total relation processing time: 1.50 hours.
Matrix solve time: 3.03 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 64.88 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJanuary 15, 2010 11:53:53 UTC 2010 年 1 月 15 日 (金) 20 時 53 分 53 秒 (日本時間)
4511e63261400Dmitry DomanovMarch 9, 2012 16:18:20 UTC 2012 年 3 月 10 日 (土) 1 時 18 分 20 秒 (日本時間)
2861Jo Yeong UkNovember 16, 2014 08:05:30 UTC 2014 年 11 月 16 日 (日) 17 時 5 分 30 秒 (日本時間)
5043e6200 / 6733Dmitry DomanovMarch 19, 2012 20:54:54 UTC 2012 年 3 月 20 日 (火) 5 時 54 分 54 秒 (日本時間)

68×10186+319

c107

name 名前Serge Batalov
date 日付January 6, 2010 21:31:03 UTC 2010 年 1 月 7 日 (木) 6 時 31 分 3 秒 (日本時間)
composite number 合成数
16866493280973647886543309738143535031438560474548646476789321908928980473777026572060905104820072607357811<107>
prime factors 素因数
326568730824902543653264769<27>
51647606426890308730412703024277866243030127704629761779578541731368384143448819<80>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=2767676763
Step 1 took 4700ms
Step 2 took 2968ms
********** Factor found in step 2: 326568730824902543653264769
Found probable prime factor of 27 digits: 326568730824902543653264769
Probable prime cofactor has 80 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 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)

68×10189+319

c136

name 名前Wataru Sakai
date 日付January 13, 2010 08:41:06 UTC 2010 年 1 月 13 日 (水) 17 時 41 分 6 秒 (日本時間)
composite number 合成数
1458067692074731551683857307288969235192900655356974776451969984423449675471489633759660377712328965813757436930299998594523077375424351<136>
prime factors 素因数
2298683100260253561818652847193363<34>
634305656099203602881285405986852933105811520273616902778259645317827011454304564091556554076892815877<102>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=673779193
Step 1 took 42962ms
Step 2 took 14876ms
********** Factor found in step 2: 2298683100260253561818652847193363
Found probable prime factor of 34 digits: 2298683100260253561818652847193363
Probable prime cofactor 634305656099203602881285405986852933105811520273616902778259645317827011454304564091556554076892815877 has 102 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)

68×10190+319

c190

name 名前Robert Backstrom
date 日付January 8, 2010 05:55:10 UTC 2010 年 1 月 8 日 (金) 14 時 55 分 10 秒 (日本時間)
composite number 合成数
6868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686869<190>
prime factors 素因数
218985330959504053823593525734323<33>
5092956660505740788098893431776280424952779030055428423082471986482123<70>
6158695238130640583240273510772375788386683943292063284132921579018168346394759313282661<88>
factorization results 素因数分解の結果
Number: n
N=6868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686869
  ( 190 digits)
SNFS difficulty: 191 digits.
Divisors found:

Fri Jan  8 12:46:00 2010  prp33 factor: 218985330959504053823593525734323
Fri Jan  8 12:46:00 2010  prp70 factor: 5092956660505740788098893431776280424952779030055428423082471986482123
Fri Jan  8 12:46:00 2010  prp88 factor: 6158695238130640583240273510772375788386683943292063284132921579018168346394759313282661
Fri Jan  8 12:46:00 2010  elapsed time 05:23:48 (Msieve 1.42 - dependency 2)

Version: GGNFS-0.77.1-20050930-k8
Total time: ~ 24.00 hours.
Scaled time: 0.00 units (timescale=0.841).
Factorization parameters were as follows:
name: KA_7_5_189_9
n: 6868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686869
m: 100000000000000000000000000000000000000
deg: 5
c5: 68
c0: 31
skew: 0.85
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 100000)
Primes: RFBsize:726517, AFBsize:726114, 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2791575 hash collisions in 26655960 relations
Msieve: matrix is 1441119 x 1441344 (390.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,56,56,2.5,2.5,100000
total time: 0.00 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 KamadaJanuary 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)

68×10192+319

c176

name 名前Edwin Hall
date 日付January 6, 2021 01:11:27 UTC 2021 年 1 月 6 日 (水) 10 時 11 分 27 秒 (日本時間)
composite number 合成数
29343828855744357847982591658999282279410103336181655290044363550721035503408648742637175690348293349915006694791106200084378489412943265538939177546423708064183266167800280037<176>
prime factors 素因数
34508866264391124116877179510727595410622151870379860940394065654521<68>
850327235642150169447984689466405561558206606138513910026306757404975863572845491770987099854314354228811597<108>
factorization results 素因数分解の結果
p68 factor: 34508866264391124116877179510727595410622151870379860940394065654521
p108 factor: 850327235642150169447984689466405561558206606138513910026306757404975863572845491770987099854314354228811597


Msieve v. 1.54 (SVN 1032M)
random seeds: d836d303 0b838dca
factoring 29343828855744357847982591658999282279410103336181655290044363550721035503408648742637175690348293349915006694791106200084378489412943265538939177546423708064183266167800280037 (176 digits)
searching for 15-digit factors
commencing number field sieve (176-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 31
A1: 0
A2: 0
A3: 0
A4: 0
A5: 6800
skew 1.00, size 1.308e-13, alpha -0.806, combined = 2.359e-11 rroots = 1

commencing relation filtering
estimated available RAM is 48213.5 MB
commencing duplicate removal, pass 1
found 2429691 hash collisions in 37813039 relations
added 726577 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 38539616 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1258.9 MB
keeping 40571943 ideals with weight <= 200, target excess is 205848
commencing in-memory singleton removal
begin with 38539616 relations and 40571943 unique ideals
reduce to 15333035 relations and 13488205 ideals in 17 passes
max relations containing the same ideal: 111
removing 2049252 relations and 1649252 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 13283783 relations and 13488205 unique ideals
reduce to 13058034 relations and 11605482 ideals in 8 passes
max relations containing the same ideal: 100
removing 1639146 relations and 1239146 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 11418888 relations and 11605482 unique ideals
reduce to 11251128 relations and 10193243 ideals in 9 passes
max relations containing the same ideal: 94
removing 1534602 relations and 1134602 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9716526 relations and 10193243 unique ideals
reduce to 9540317 relations and 8876623 ideals in 8 passes
max relations containing the same ideal: 84
removing 1512289 relations and 1112289 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 8028028 relations and 8876623 unique ideals
reduce to 7819061 relations and 7547205 ideals in 9 passes
max relations containing the same ideal: 73
removing 216301 relations and 183229 ideals in 33072 cliques
commencing in-memory singleton removal
begin with 7602760 relations and 7547205 unique ideals
reduce to 7598398 relations and 7359587 ideals in 6 passes
max relations containing the same ideal: 72
relations with 0 large ideals: 4434
relations with 1 large ideals: 11854
relations with 2 large ideals: 97121
relations with 3 large ideals: 434747
relations with 4 large ideals: 1158965
relations with 5 large ideals: 1921075
relations with 6 large ideals: 2067230
relations with 7+ large ideals: 1902972
commencing 2-way merge
reduce to 4702179 relation sets and 4463368 unique ideals
commencing full merge
memory use: 518.0 MB
found 2192790 cycles, need 2165568
weight of 2165568 cycles is about 195162717 (90.12/cycle)
distribution of cycle lengths:
1 relations: 178273
2 relations: 178280
3 relations: 186155
4 relations: 185010
5 relations: 180963
6 relations: 169704
7 relations: 161084
8 relations: 145975
9 relations: 131556
10+ relations: 648568
heaviest cycle: 26 relations
commencing cycle optimization
start with 16004428 relations
pruned 543509 relations
memory use: 473.7 MB
distribution of cycle lengths:
1 relations: 178273
2 relations: 182542
3 relations: 193314
4 relations: 191244
5 relations: 188012
6 relations: 175449
7 relations: 166431
8 relations: 149804
9 relations: 134544
10+ relations: 605955
heaviest cycle: 25 relations
RelProcTime: 714
elapsed time 00:11:56


Msieve v. 1.54 (SVN 1032M)
random seeds: 917a2cc3 0760843e
factoring 29343828855744357847982591658999282279410103336181655290044363550721035503408648742637175690348293349915006694791106200084378489412943265538939177546423708064183266167800280037 (176 digits)
searching for 15-digit factors
commencing number field sieve (176-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 31
A1: 0
A2: 0
A3: 0
A4: 0
A5: 6800
skew 1.00, size 1.308e-13, alpha -0.806, combined = 2.359e-11 rroots = 1

commencing linear algebra
read 2165568 cycles
cycles contain 7444626 unique relations
read 7444626 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 915.6 MB
read 2165568 cycles
matrix is 2165390 x 2165568 (795.7 MB) with weight 234821731 (108.43/col)
sparse part has weight 184758890 (85.32/col)
filtering completed in 2 passes
matrix is 2164785 x 2164963 (795.6 MB) with weight 234797526 (108.45/col)
sparse part has weight 184749318 (85.34/col)
matrix starts at (0, 0)
matrix is 2164785 x 2164963 (795.6 MB) with weight 234797526 (108.45/col)
sparse part has weight 184749318 (85.34/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2164737 x 2164963 (757.9 MB) with weight 193303886 (89.29/col)
sparse part has weight 177023046 (81.77/col)
using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
commencing Lanczos iteration (12 threads)
memory use: 718.2 MB
linear algebra at 0.1%, ETA 1h34m
checkpointing every 1460000 dimensions
lanczos halted after 34235 iterations (dim = 2164737)
recovered 40 nontrivial dependencies
BLanczosTime: 4923
elapsed time 01:22:05


Msieve v. 1.54 (SVN 1032M)
random seeds: b90cc6f7 842a5a20
factoring 29343828855744357847982591658999282279410103336181655290044363550721035503408648742637175690348293349915006694791106200084378489412943265538939177546423708064183266167800280037 (176 digits)
searching for 15-digit factors
commencing number field sieve (176-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 31
A1: 0
A2: 0
A3: 0
A4: 0
A5: 6800
skew 1.00, size 1.308e-13, alpha -0.806, combined = 2.359e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1082059 cycles
cycles contain 3721680 unique relations
read 3721680 relations
multiplying 3721680 relations
multiply complete, coefficients have about 127.12 million bits
initial square root is modulo 1331811311
Newton iteration failed to converge
algebraic square root failed
reading relations for dependency 2
read 1082968 cycles
cycles contain 3723242 unique relations
read 3723242 relations
multiplying 3723242 relations
multiply complete, coefficients have about 127.18 million bits
initial square root is modulo 1343854481
GCD is N, no factor found
reading relations for dependency 3
read 1082271 cycles
cycles contain 3722238 unique relations
read 3722238 relations
multiplying 3722238 relations
multiply complete, coefficients have about 127.14 million bits
initial square root is modulo 1335945151
Newton iteration failed to converge
algebraic square root failed
reading relations for dependency 4
read 1083213 cycles
cycles contain 3725992 unique relations
read 3725992 relations
multiplying 3725992 relations
multiply complete, coefficients have about 127.27 million bits
initial square root is modulo 1364483531
GCD is N, no factor found
reading relations for dependency 5
read 1082495 cycles
cycles contain 3723200 unique relations
read 3723200 relations
multiplying 3723200 relations
multiply complete, coefficients have about 127.18 million bits
initial square root is modulo 1343586341
sqrtTime: 1554
p68 factor: 34508866264391124116877179510727595410622151870379860940394065654521
p108 factor: 850327235642150169447984689466405561558206606138513910026306757404975863572845491770987099854314354228811597
elapsed time 00:25:56
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
351e6118Makoto KamadaJanuary 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJanuary 16, 2010 02:49:32 UTC 2010 年 1 月 16 日 (土) 11 時 49 分 32 秒 (日本時間)
4511e62100 / 3963400Dmitry DomanovMarch 9, 2012 16:18:31 UTC 2012 年 3 月 10 日 (土) 1 時 18 分 31 秒 (日本時間)
1700Eric JeancolasOctober 14, 2020 06:16:04 UTC 2020 年 10 月 14 日 (水) 15 時 16 分 4 秒 (日本時間)

68×10193+319

c177

name 名前Bob Backstrom
date 日付March 3, 2021 09:40:09 UTC 2021 年 3 月 3 日 (水) 18 時 40 分 9 秒 (日本時間)
composite number 合成数
170359402372581128034248972804731396957457319053198295167383665799428615626965773182371376003415209309623827022070239577024389692469131508338517023202295173415272101254789881499<177>
prime factors 素因数
27906495474028538916684736116640487533160323<44>
6104650529520190798909971573960106956476339607287843374548626632161411659445449294419935455387549798224348223872693070971098575055113<133>
factorization results 素因数分解の結果
Number: n
N=170359402372581128034248972804731396957457319053198295167383665799428615626965773182371376003415209309623827022070239577024389692469131508338517023202295173415272101254789881499  ( 177 digits)
SNFS difficulty: 194 digits.
Divisors found:

Wed Mar  3 20:36:02 2021  p44 factor: 27906495474028538916684736116640487533160323
Wed Mar  3 20:36:02 2021  p133 factor: 6104650529520190798909971573960106956476339607287843374548626632161411659445449294419935455387549798224348223872693070971098575055113
Wed Mar  3 20:36:02 2021  elapsed time 01:05:07 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.324).
Factorization parameters were as follows:
#
# N = 68x10^193+31 = 75(192)9
#
n: 170359402372581128034248972804731396957457319053198295167383665799428615626965773182371376003415209309623827022070239577024389692469131508338517023202295173415272101254789881499
m: 200000000000000000000000000000000000000
deg: 5
c5: 2125
c0: 31
skew: 0.43
# Murphy_E = 2.44e-11
type: snfs
lss: 1
rlim: 12400000
alim: 12400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12400000/12400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4020369 hash collisions in 30271818 relations (27877394 unique)
Msieve: matrix is 1551341 x 1551566 (541.0 MB)

Sieving start time : 2021/03/03 13:45:39
Sieving end time  : 2021/03/03 19:30:17

Total sieving time: 5hrs 44min 38secs.

Total relation processing time: 0hrs 45min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 40sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12400000,12400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116378] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.154161] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.20 BogoMIPS (lpj=12798400)
[    0.152017] smpboot: Total of 16 processors activated (102387.20 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJanuary 16, 2010 02:49:19 UTC 2010 年 1 月 16 日 (土) 11 時 49 分 19 秒 (日本時間)
4511e6400 / 3261Dmitry DomanovMarch 9, 2012 16:18:42 UTC 2012 年 3 月 10 日 (土) 1 時 18 分 42 秒 (日本時間)
5043e6200 / 7375Dmitry DomanovMarch 19, 2012 20:55:42 UTC 2012 年 3 月 20 日 (火) 5 時 55 分 42 秒 (日本時間)

68×10197+319

c154

name 名前Wataru Sakai
date 日付January 13, 2010 08:40:22 UTC 2010 年 1 月 13 日 (水) 17 時 40 分 22 秒 (日本時間)
composite number 合成数
1144198972255625777802569458283838372054636760595104541815606235111829824992517576919481837673651599014431846812593758858432062521082978095994356216323411<154>
prime factors 素因数
6527104180074790823823263960329<31>
175299633756192776714347977273494435251825486807154468473423752435178471398852792874539132883424617670373803966197520616059<123>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3448174446
Step 1 took 47125ms
Step 2 took 16866ms
********** Factor found in step 2: 6527104180074790823823263960329
Found probable prime factor of 31 digits: 6527104180074790823823263960329
Probable prime cofactor 175299633756192776714347977273494435251825486807154468473423752435178471398852792874539132883424617670373803966197520616059 has 123 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)

68×10199+319

c174

name 名前Wataru Sakai
date 日付January 13, 2010 13:27:14 UTC 2010 年 1 月 13 日 (水) 22 時 27 分 14 秒 (日本時間)
composite number 合成数
120935496963785019774303334295070639552439545271439107226968797166556179518283074189803370735646030669949527175401624242335062004973030751300760943684371594461589215168425289<174>
prime factors 素因数
62146349179330161928178310321817404451<38>
1945979105141192956330896863670466005854757882918468505318882787757048386297364595435342072045757868991865991904369775520394807761336739<136>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2788420066
Step 1 took 58891ms
Step 2 took 19956ms
********** Factor found in step 2: 62146349179330161928178310321817404451
Found probable prime factor of 38 digits: 62146349179330161928178310321817404451
Probable prime cofactor 1945979105141192956330896863670466005854757882918468505318882787757048386297364595435342072045757868991865991904369775520394807761336739 has 136 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)

68×10200+319

c164

name 名前Wataru Sakai
date 日付January 14, 2010 08:54:22 UTC 2010 年 1 月 14 日 (木) 17 時 54 分 22 秒 (日本時間)
composite number 合成数
19382059238445599065536022078849480292680008661390309612290516925899136888362004689705713722169686880984949565220120596154370436132583084088364977369161843662807241<164>
prime factors 素因数
1340227008008916101931664086641<31>
14461773358261301670590673741839234912055357277569670725076394154519032743625390671444785993327859751783665576767627807733906861296601<134>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=271035998
Step 1 took 52071ms
Step 2 took 17873ms
********** Factor found in step 2: 1340227008008916101931664086641
Found probable prime factor of 31 digits: 1340227008008916101931664086641
Probable prime cofactor 14461773358261301670590673741839234912055357277569670725076394154519032743625390671444785993327859751783665576767627807733906861296601 has 134 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 6, 2010 15:00:00 UTC 2010 年 1 月 7 日 (木) 0 時 0 分 0 秒 (日本時間)

68×10201+319

c167

name 名前Bob Backstrom
date 日付January 28, 2022 00:59:57 UTC 2022 年 1 月 28 日 (金) 9 時 59 分 57 秒 (日本時間)
composite number 合成数
34287908015777116393717952221698653708866497645532631313489428350205008045711306965214838742057462283089563277965532668965858786053833443818876660769342171507222463663<167>
prime factors 素因数
218563302490443932224093787071223077371684269515264422298452229895599<69>
156878614227913485448318288537670691621141524530235480702340710447761529242155611842008289730273537<99>
factorization results 素因数分解の結果
Number: n
N=34287908015777116393717952221698653708866497645532631313489428350205008045711306965214838742057462283089563277965532668965858786053833443818876660769342171507222463663  ( 167 digits)
SNFS difficulty: 202 digits.
Divisors found:

Fri Jan 28 11:54:14 2022  p69 factor: 218563302490443932224093787071223077371684269515264422298452229895599
Fri Jan 28 11:54:14 2022  p99 factor: 156878614227913485448318288537670691621141524530235480702340710447761529242155611842008289730273537
Fri Jan 28 11:54:14 2022  elapsed time 01:32:27 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 68x10^201+31 = 75(200)9
#
n: 34287908015777116393717952221698653708866497645532631313489428350205008045711306965214838742057462283089563277965532668965858786053833443818876660769342171507222463663
m: 10000000000000000000000000000000000000000
deg: 5
c5: 680
c0: 31
skew: 0.54
# Murphy_E = 1.306e-11
type: snfs
lss: 1
rlim: 16800000
alim: 16800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16800000/16800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 28400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4866651 hash collisions in 32125042 relations (28816733 unique)
Msieve: matrix is 2006643 x 2006869 (700.0 MB)

Sieving start time : 2022/01/27 23:52:25
Sieving end time  : 2022/01/28 10:21:08

Total sieving time: 10hrs 28min 43secs.

Total relation processing time: 1hrs 18min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 8sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16800000,16800000,28,28,55,55,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119028] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153529] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.152048] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 2, 2012 09:46:34 UTC 2012 年 3 月 2 日 (金) 18 時 46 分 34 秒 (日本時間)
4511e64880400Dmitry DomanovMarch 9, 2012 16:18:52 UTC 2012 年 3 月 10 日 (土) 1 時 18 分 52 秒 (日本時間)
4480Ignacio SantosSeptember 5, 2021 18:19:33 UTC 2021 年 9 月 6 日 (月) 3 時 19 分 33 秒 (日本時間)
5043e6200 / 6420Dmitry DomanovMarch 11, 2012 17:20:11 UTC 2012 年 3 月 12 日 (月) 2 時 20 分 11 秒 (日本時間)

68×10204+319

c172

name 名前Dmitry Domanov
date 日付March 9, 2012 16:33:58 UTC 2012 年 3 月 10 日 (土) 1 時 33 分 58 秒 (日本時間)
composite number 合成数
3716136787774028192327429290730089590221643432037847589908338219528157362171911703519865636586315465366665717768772483725683994759254864513897914463478014290136634944246223<172>
prime factors 素因数
125242781615706258349746620827256651899<39>
29671464812851142395589950545945711498995215843851539123755549290033242316267794074253425535663937100120364370037895633508534922950077<134>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1584736896
Step 1 took 71751ms
Step 2 took 27138ms
********** Factor found in step 2: 125242781615706258349746620827256651899
Found probable prime factor of 39 digits: 125242781615706258349746620827256651899

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 2, 2012 09:46:42 UTC 2012 年 3 月 2 日 (金) 18 時 46 分 42 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 9, 2012 16:19:03 UTC 2012 年 3 月 10 日 (土) 1 時 19 分 3 秒 (日本時間)

68×10205+319

c172

composite cofactor 合成数の残り
4516617422050387406720776589524300263357157265371935300614302913443027484858674521842540474036945316688322374215939585266522777354318436642026436499063923087185034593619751<172>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 2, 2012 09:46:50 UTC 2012 年 3 月 2 日 (金) 18 時 46 分 50 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovMarch 9, 2012 16:19:13 UTC 2012 年 3 月 10 日 (土) 1 時 19 分 13 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 11, 2012 17:48:34 UTC 2012 年 3 月 12 日 (月) 2 時 48 分 34 秒 (日本時間)

68×10207+319

c163

name 名前Dmitry Domanov
date 日付March 9, 2012 16:37:31 UTC 2012 年 3 月 10 日 (土) 1 時 37 分 31 秒 (日本時間)
composite number 合成数
4716562985735679064030650090552952647698227279726103417276329550885956432743135527540975559499133120640556974818261091159899591134720534547213224768055357495289977<163>
prime factors 素因数
856543340247482334484147613225001320901521<42>
5506508268890299868293198396243308409971461395319311606720474017958794394050923493817346377461255793627936766808595589737<121>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3166810939
Step 1 took 73781ms
Step 2 took 26441ms
********** Factor found in step 2: 856543340247482334484147613225001320901521
Found probable prime factor of 42 digits: 856543340247482334484147613225001320901521

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 2, 2012 09:46:58 UTC 2012 年 3 月 2 日 (金) 18 時 46 分 58 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 9, 2012 16:19:22 UTC 2012 年 3 月 10 日 (土) 1 時 19 分 22 秒 (日本時間)

68×10208+319

c172

composite cofactor 合成数の残り
2816154828011071282892770976615156157101694422526160215299081049480112465299559507403130806741092211392071299876508884649507514100766697153252716183524223140905907490781397<172>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 2, 2012 09:47:13 UTC 2012 年 3 月 2 日 (金) 18 時 47 分 13 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovMarch 9, 2012 16:19:31 UTC 2012 年 3 月 10 日 (土) 1 時 19 分 31 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 11, 2012 17:48:58 UTC 2012 年 3 月 12 日 (月) 2 時 48 分 58 秒 (日本時間)

68×10209+319

c195

name 名前Bob Backstrom
date 日付June 23, 2021 02:38:22 UTC 2021 年 6 月 23 日 (水) 11 時 38 分 22 秒 (日本時間)
composite number 合成数
685508243714428981249610666241719543139033972799376284483321491425490322841412438532403217320637100798282821039473770150148916585065562464396470371014096870168126052482485996201506843050256488027<195>
prime factors 素因数
2893638462690794326901107009819952360666801025391<49>
236901828805860869110200790432691112459278044363487450226347794077234930387891761711085003697399563438459340661950610583663194206156352397201546197<147>
factorization results 素因数分解の結果
Number: n
N=685508243714428981249610666241719543139033972799376284483321491425490322841412438532403217320637100798282821039473770150148916585065562464396470371014096870168126052482485996201506843050256488027
  ( 195 digits)
SNFS difficulty: 211 digits.
Divisors found:

Wed Jun 23 11:58:55 2021  p49 factor: 2893638462690794326901107009819952360666801025391
Wed Jun 23 11:58:55 2021  p147 factor: 236901828805860869110200790432691112459278044363487450226347794077234930387891761711085003697399563438459340661950610583663194206156352397201546197
Wed Jun 23 11:58:55 2021  elapsed time 04:26:12 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 68x10^209+31 = 75(208)9
#
n: 685508243714428981249610666241719543139033972799376284483321491425490322841412438532403217320637100798282821039473770150148916585065562464396470371014096870168126052482485996201506843050256488027
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 34
c0: 155
skew: 1.35
# Murphy_E = 5.06e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 53100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7848020 hash collisions in 53834889 relations (47841772 unique)
Msieve: matrix is 3275898 x 3276123 (1150.5 MB)

Sieving start time : 2021/06/22 12:26:01
Sieving end time  : 2021/06/23 07:31:26

Total sieving time: 19hrs 5min 25secs.

Total relation processing time: 4hrs 2min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 24sec.

Prototype def-par.txt line would be:
snfs,211,5,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118509] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239976K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487260K reserved, 0K cma-reserved)
[    0.154060] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798688)
[    0.150212] smpboot: Total of 16 processors activated (102389.50 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 2, 2012 09:47:23 UTC 2012 年 3 月 2 日 (金) 18 時 47 分 23 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 9, 2012 16:19:42 UTC 2012 年 3 月 10 日 (土) 1 時 19 分 42 秒 (日本時間)

68×10210+319

c210

name 名前Warut Roonguthai
date 日付February 28, 2012 17:12:27 UTC 2012 年 2 月 29 日 (水) 2 時 12 分 27 秒 (日本時間)
composite number 合成数
686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686869<210>
prime factors 素因数
93574258329777841897333804073837<32>
7340359401492651820031713928026584460098396728956461934638744548622488879634850950446168286419708258953564813669600062677146746455491682710170624898027369808072448809362613937737<178>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=73811111
Step 1 took 9204ms
********** Factor found in step 1: 93574258329777841897333804073837
Found probable prime factor of 32 digits: 93574258329777841897333804073837
Probable prime cofactor 7340359401492651820031713928026584460098396728956461934638744548622488879634850950446168286419708258953564813669600062677146746455491682710170624898027369808072448809362613937737 has 178 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 KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)

68×10212+319

c185

composite cofactor 合成数の残り
60593608667146090236026776648246622840353882083017521048079689985595840122728184925312186713274221406438791964703790035375299053787355953043227661596590034169598794721921913387258832811<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 2, 2012 09:47:32 UTC 2012 年 3 月 2 日 (金) 18 時 47 分 32 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovMarch 9, 2012 16:19:52 UTC 2012 年 3 月 10 日 (土) 1 時 19 分 52 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 19, 2012 20:56:21 UTC 2012 年 3 月 20 日 (火) 5 時 56 分 21 秒 (日本時間)

68×10214+319

c210

name 名前Dmitry Domanov
date 日付March 9, 2012 16:33:04 UTC 2012 年 3 月 10 日 (土) 1 時 33 分 4 秒 (日本時間)
composite number 合成数
192244027783785403646021071641715936266581400786108446552343666732538517363169606445376827979195803652127646641906766735337364238257070410223311228097256253655817035704522060143544092157263530657692263110830661<210>
prime factors 素因数
953440241444864836930387935604696298599<39>
201631963312618806454382643871984408140349256938795995132149061225787384237462209086353179125452196402806085199060189206569128816609733638172581889255963006969444926234739<171>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2360541409
Step 1 took 100583ms
Step 2 took 33534ms
********** Factor found in step 2: 953440241444864836930387935604696298599
Found probable prime factor of 39 digits: 953440241444864836930387935604696298599

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 2, 2012 09:47:39 UTC 2012 年 3 月 2 日 (金) 18 時 47 分 39 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 9, 2012 16:20:01 UTC 2012 年 3 月 10 日 (土) 1 時 20 分 1 秒 (日本時間)

68×10215+319

c195

name 名前Warut Roonguthai
date 日付February 28, 2012 17:21:49 UTC 2012 年 2 月 29 日 (水) 2 時 21 分 49 秒 (日本時間)
composite number 合成数
251125033562732051589584128327663104546899501947377307208485371909305298226865905668006751125160919021442827443642851778205161584575245723597720481462159524730759923719831272934340157697500503411<195>
prime factors 素因数
4209185862184268273127253828897<31>
59661189071944665603977146804191874640959536474974579105778380174577994479495775439038801365131606139407441846899279972013303204769499286481828359386402678774815763<164>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3354158668
Step 1 took 9797ms
Step 2 took 5834ms
********** Factor found in step 2: 4209185862184268273127253828897
Found probable prime factor of 31 digits: 4209185862184268273127253828897
Probable prime cofactor 59661189071944665603977146804191874640959536474974579105778380174577994479495775439038801365131606139407441846899279972013303204769499286481828359386402678774815763 has 164 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 KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)

68×10216+319

c207

name 名前Bob Backstrom
date 日付October 3, 2018 14:46:51 UTC 2018 年 10 月 3 日 (水) 23 時 46 分 51 秒 (日本時間)
composite number 合成数
301467845593787552965487785976705275026377076669972002730256896872356510021786193245257232633566045563879824427633697315281726215368212361172931975077543133531135899911286099030036242413990088016068033335489<207>
prime factors 素因数
307431973408652964276900587399259782126761<42>
10514061419137463315030637163337705419480317743424375568642884992173<68>
93265592769378089472857955037426922545884343684628274129151017419994021904751083118646316968898013<98>
factorization results 素因数分解の結果
Number: n
N=301467845593787552965487785976705275026377076669972002730256896872356510021786193245257232633566045563879824427633697315281726215368212361172931975077543133531135899911286099030036242413990088016068033335489
  ( 207 digits)
SNFS difficulty: 217 digits.
Divisors found:

Thu Oct  4 00:15:16 2018  found factor: 93265592769378089472857955037426922545884343684628274129151017419994021904751083118646316968898013
Thu Oct  4 00:42:13 2018  p42 factor: 307431973408652964276900587399259782126761
Thu Oct  4 00:42:13 2018  p68 factor: 10514061419137463315030637163337705419480317743424375568642884992173
Thu Oct  4 00:42:13 2018  p98 factor: 93265592769378089472857955037426922545884343684628274129151017419994021904751083118646316968898013
Thu Oct  4 00:42:13 2018  elapsed time 07:56:14 (Msieve 1.54 - dependency 5)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.777).
Factorization parameters were as follows:
#
# N = 68x10^216+31 = 75(215)9
#
n: 301467845593787552965487785976705275026377076669972002730256896872356510021786193245257232633566045563879824427633697315281726215368212361172931975077543133531135899911286099030036242413990088016068033335489
m: 1000000000000000000000000000000000000
deg: 6
c6: 68
c0: 31
skew: 0.88
# Murphy_E = 3.224e-12
type: snfs
lss: 1
rlim: 30000000
alim: 30000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 30000000/30000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 33400000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8224938 hash collisions in 53114716 relations (47035976 unique)
Msieve: matrix is 4055740 x 4055966 (1436.6 MB)

Sieving start time: 2018/10/03 03:39:13
Sieving end time  : 2018/10/03 16:45:05

Total sieving time: 13hrs 5min 52secs.

Total relation processing time: 6hrs 42min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 43min 26sec.

Prototype def-par.txt line would be:
snfs,217,6,0,0,0,0,0,0,0,0,30000000,30000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.044000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285120K/16703460K available (12300K kernel code, 2472K rwdata, 4248K rodata, 2408K init, 2416K bss, 418340K reserved, 0K cma-reserved)
[    0.076570] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5989.19 BogoMIPS (lpj=11978392)
[    0.074211] smpboot: Total of 16 processors activated (95827.13 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 2, 2012 09:47:49 UTC 2012 年 3 月 2 日 (金) 18 時 47 分 49 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 9, 2012 16:20:13 UTC 2012 年 3 月 10 日 (土) 1 時 20 分 13 秒 (日本時間)

68×10217+319

c135

name 名前Erik Branger
date 日付May 1, 2012 07:12:59 UTC 2012 年 5 月 1 日 (火) 16 時 12 分 59 秒 (日本時間)
composite number 合成数
725459371152871911852287259115397281686381815584412222606325690061415503958444872737923609666393661005623636681921099312386490913142841<135>
prime factors 素因数
11270547510807593876972231970957246987735659849431843874366677037<65>
64367713321576596654538039581328450968537439353544611808983371367183293<71>
factorization results 素因数分解の結果
Number: 75559_217
N = 725459371152871911852287259115397281686381815584412222606325690061415503958444872737923609666393661005623636681921099312386490913142841 (135 digits)
Divisors found:
r1=11270547510807593876972231970957246987735659849431843874366677037 (pp65)
r2=64367713321576596654538039581328450968537439353544611808983371367183293 (pp71)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 195.89 hours.
Factorization parameters were as follows:
# Murphy_E = 4.607e-11, selected by Erik Branger
n: 725459371152871911852287259115397281686381815584412222606325690061415503958444872737923609666393661005623636681921099312386490913142841
Y0: -141706355774978129497535492
Y1: 98021070938093
c0: -5565317361344513069288055168994515
c1: 22611493371709838565352916832
c2: 12397966700336779724264
c3: -57051926954244512
c4: -19709551261
c5: 12696
skew: 1065541.3
type: gnfs
# selected mechanically
rlim: 13200000
alim: 13200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 13200000/13200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [6600000, 14800000)
Relations: 20641539
Relations in full relation-set: 3126764 relations
Pruned matrix : 1892202 x 1892430
Polynomial selection time: 0.00 hours.
Total sieving time: 191.86 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 3.63 hours.
time per square root: 0.30 hours.
Prototype def-par.txt line would be: gnfs,134,5,65,2000,1e-05,0.28,250,20,50000,3600,13200000,13200000,28,28,54,54,2.6,2.6,100000
total time: 195.89 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 KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 2, 2012 09:47:56 UTC 2012 年 3 月 2 日 (金) 18 時 47 分 56 秒 (日本時間)
4511e63700400Dmitry DomanovMarch 9, 2012 16:20:28 UTC 2012 年 3 月 10 日 (土) 1 時 20 分 28 秒 (日本時間)
3300Wataru SakaiApril 12, 2012 05:59:10 UTC 2012 年 4 月 12 日 (木) 14 時 59 分 10 秒 (日本時間)
5043e6200 / 6685Dmitry DomanovMarch 11, 2012 17:49:15 UTC 2012 年 3 月 12 日 (月) 2 時 49 分 15 秒 (日本時間)

68×10218+319

c191

name 名前Warut Roonguthai
date 日付February 28, 2012 18:54:49 UTC 2012 年 2 月 29 日 (水) 3 時 54 分 49 秒 (日本時間)
composite number 合成数
10694757399191058868219487348968309479659809424226277711320978321053677344692336456638683409646958521174002212792507003593137736183765202709719636415224317591141561303641429932552515431061777<191>
prime factors 素因数
2696032965234204163014416932279<31>
3966849640602226897599600448450143692340510074664155779775823351549753005880266496659473122501279145758806202245301249342026705268088534526150045890915588095863<160>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4182567758
Step 1 took 8612ms
Step 2 took 5413ms
********** Factor found in step 2: 2696032965234204163014416932279
Found probable prime factor of 31 digits: 2696032965234204163014416932279
Probable prime cofactor 3966849640602226897599600448450143692340510074664155779775823351549753005880266496659473122501279145758806202245301249342026705268088534526150045890915588095863 has 160 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 KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)

68×10219+319

c204

name 名前Dmitry Domanov
date 日付March 2, 2012 07:23:56 UTC 2012 年 3 月 2 日 (金) 16 時 23 分 56 秒 (日本時間)
composite number 合成数
253504464528224498003758207650279099019690925824444239631269640351949734395830473281310375762898087994578005394270375267003500900239378920356327878634496623892339596492241015474521331944216691561497859519<204>
prime factors 素因数
1861554584742532977945775215953024521<37>
composite cofactor 合成数の残り
136178904774519988132746439007827777284220854985173881347653413446380019078108799962608708903542430718427160647109001197290917168322260957886265692733807988587967119239<168>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2778974419
Step 1 took 27322ms
Step 2 took 10249ms
********** Factor found in step 2: 1861554584742532977945775215953024521
Found probable prime factor of 37 digits: 1861554584742532977945775215953024521

c168

name 名前Dmitry Domanov
date 日付March 9, 2012 16:32:03 UTC 2012 年 3 月 10 日 (土) 1 時 32 分 3 秒 (日本時間)
composite number 合成数
136178904774519988132746439007827777284220854985173881347653413446380019078108799962608708903542430718427160647109001197290917168322260957886265692733807988587967119239<168>
prime factors 素因数
336189279927854584362283035997970003333<39>
composite cofactor 合成数の残り
405066172257912731456138665827636951090933360917421229792431184769901315328174795921820953200716472254578668626534605547351472283<129>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2386361934
Step 1 took 71796ms
Step 2 took 27127ms
********** Factor found in step 2: 336189279927854584362283035997970003333
Found probable prime factor of 39 digits: 336189279927854584362283035997970003333

c129

name 名前Warut Roonguthai
date 日付March 14, 2012 03:56:34 UTC 2012 年 3 月 14 日 (水) 12 時 56 分 34 秒 (日本時間)
composite number 合成数
405066172257912731456138665827636951090933360917421229792431184769901315328174795921820953200716472254578668626534605547351472283<129>
prime factors 素因数
349811986409332693803939069863659775889013144888697694065149<60>
1157953952395228449437068691053309874458922763434454996580895083547767<70>
factorization results 素因数分解の結果
N = 405066172257912731456138665827636951090933360917421229792431184769901315328174795921820953200716472254578668626534605547351472283 (129 digits)
Divisors found:
r1=349811986409332693803939069863659775889013144888697694065149 (pp60)
r2=1157953952395228449437068691053309874458922763434454996580895083547767 (pp70)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 22.72 hours.
Factorization parameters were as follows:
n: 405066172257912731456138665827636951090933360917421229792431184769901315328174795921820953200716472254578668626534605547351472283
Y0: -10120074287096818584257980
Y1: 67456005778291
c0: 5733562640805888450261123381153
c1: 633888636599645077717054606
c2: 566187282556646518559
c3: -9072410386125722
c4: -1176315012
c5: 3816
skew: 579531.37 
type: gnfs
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19494565
Relations: 2366738 relations
Pruned matrix : 1331033 x 1331267
Polynomial selection time: 0.00 hours.
Total sieving time: 20.84 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.58 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: gnfs,128,5,65,2000,1e-05,0.28,250,20,50000,3600,6800000,6800000,28,28,55,55,2.5,2.5,100000
total time: 22.72 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
351e6118Makoto KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 2, 2012 07:23:47 UTC 2012 年 3 月 2 日 (金) 16 時 23 分 47 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 9, 2012 16:20:44 UTC 2012 年 3 月 10 日 (土) 1 時 20 分 44 秒 (日本時間)

68×10220+319

c214

name 名前Bob Backstrom
date 日付May 15, 2018 13:11:17 UTC 2018 年 5 月 15 日 (火) 22 時 11 分 17 秒 (日本時間)
composite number 合成数
1976841171943194433989716408266925351451036160282782245685931515890097898785575012062437726050879536901000808693745128885291270525501915394843368521891116152230526728487199646710574227794309548146058316936671337797<214>
prime factors 素因数
1879114006394138303282092514213398621284089<43>
1052007044392472141720633027005121810642309508819720680619215479069142288964125193437489299699591830809985574565947419375323307239809122264802213911220343026785417834233773<172>
factorization results 素因数分解の結果
Number: n
N=1976841171943194433989716408266925351451036160282782245685931515890097898785575012062437726050879536901000808693745128885291270525501915394843368521891116152230526728487199646710574227794309548146058316936671337797
  ( 214 digits)
SNFS difficulty: 223 digits.
Divisors found:

Tue May 15 22:48:29 2018  p43 factor: 1879114006394138303282092514213398621284089
Tue May 15 22:48:29 2018  p172 factor: 1052007044392472141720633027005121810642309508819720680619215479069142288964125193437489299699591830809985574565947419375323307239809122264802213911220343026785417834233773
Tue May 15 22:48:29 2018  elapsed time 08:53:34 (Msieve 1.53 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.125).
Factorization parameters were as follows:
#
# 68x10^220+31 = 75(219)9
#
n: 1976841171943194433989716408266925351451036160282782245685931515890097898785575012062437726050879536901000808693745128885291270525501915394843368521891116152230526728487199646710574227794309548146058316936671337797
m: 10000000000000000000000000000000000000
deg: 6
c6: 17
c0: 775
skew: 1.89
# Murphy_E = 1.889e-12
type: snfs
lss: 1
rlim: 37000000
alim: 37000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 37000000/37000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 83300000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 14644450 hash collisions in 75629200 relations (61819191 unique)
Msieve: matrix is 4617205 x 4617430 (1312.8 MB)

Sieving start time: 2018/05/13 09:46:52
Sieving end time  : 2018/05/15 13:52:41

Total sieving time: 52hrs 5min 49secs.

Total relation processing time: 8hrs 24min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 30sec.

Prototype def-par.txt line would be:
snfs,223,6,0,0,0,0,0,0,0,0,37000000,37000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.036000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16286848K/16703460K available (12300K kernel code, 2470K rwdata, 4240K rodata, 2404K init, 2416K bss, 416612K reserved, 0K cma-reserved)
[    0.068639] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.28 BogoMIPS (lpj=11976564)
[    0.066207] smpboot: Total of 16 processors activated (95812.51 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 2, 2012 09:48:04 UTC 2012 年 3 月 2 日 (金) 18 時 48 分 4 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 9, 2012 16:21:42 UTC 2012 年 3 月 10 日 (土) 1 時 21 分 42 秒 (日本時間)

68×10221+319

c212

name 名前Bob Backstrom
date 日付September 28, 2018 06:19:14 UTC 2018 年 9 月 28 日 (金) 15 時 19 分 14 秒 (日本時間)
composite number 合成数
18761200212306263051708838502532678324738898298221635217165895531536610815691388313570331780945444883137862149804884311970173851373672114042654697486164836535535455961724283707758769989371811063298852598756071031<212>
prime factors 素因数
43015763437670960038447145098165131730770549684548784136925478138263742766618916993<83>
436147093832029569631620097329706334471492920010289490066927037165530289095875030085963510872829322068164548645404365938050552567<129>
factorization results 素因数分解の結果
Number: n
N=18761200212306263051708838502532678324738898298221635217165895531536610815691388313570331780945444883137862149804884311970173851373672114042654697486164836535535455961724283707758769989371811063298852598756071031
  ( 212 digits)
SNFS difficulty: 223 digits.
Divisors found:

Fri Sep 28 16:14:49 2018  p83 factor: 43015763437670960038447145098165131730770549684548784136925478138263742766618916993
Fri Sep 28 16:14:49 2018  p129 factor: 436147093832029569631620097329706334471492920010289490066927037165530289095875030085963510872829322068164548645404365938050552567
Fri Sep 28 16:14:49 2018  elapsed time 12:28:51 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.121).
Factorization parameters were as follows:
#
# N = 68x10^221+31 = 75(220)9
#
n: 18761200212306263051708838502532678324738898298221635217165895531536610815691388313570331780945444883137862149804884311970173851373672114042654697486164836535535455961724283707758769989371811063298852598756071031
m: 10000000000000000000000000000000000000
deg: 6
c6: 34
c0: 155
skew: 1.29
# Murphy_E = 2.152e-12
type: snfs
lss: 1
rlim: 37000000
alim: 37000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 37000000/37000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 51300000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8486327 hash collisions in 52383182 relations (45874677 unique)
Msieve: matrix is 5141101 x 5141326 (1817.1 MB)

Sieving start time: 2018/09/27 08:14:11
Sieving end time  : 2018/09/28 03:45:07

Total sieving time: 19hrs 30min 56secs.

Total relation processing time: 11hrs 59min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 52sec.

Prototype def-par.txt line would be:
snfs,223,6,0,0,0,0,0,0,0,0,37000000,37000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.044000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285124K/16703460K available (12300K kernel code, 2471K rwdata, 4244K rodata, 2408K init, 2416K bss, 418336K reserved, 0K cma-reserved)
[    0.076545] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.34 BogoMIPS (lpj=11976684)
[    0.074210] smpboot: Total of 16 processors activated (95813.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 2, 2012 09:48:11 UTC 2012 年 3 月 2 日 (金) 18 時 48 分 11 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 9, 2012 16:21:55 UTC 2012 年 3 月 10 日 (土) 1 時 21 分 55 秒 (日本時間)

68×10222+319

c195

name 名前Serge Batalov
date 日付February 29, 2012 19:55:47 UTC 2012 年 3 月 1 日 (木) 4 時 55 分 47 秒 (日本時間)
composite number 合成数
575682923975392850600172884980186650129335263283309618688755712069391305450742179768015050051124519071746298770854268591721162107529932424549461632053244771339495993065376833308318402302818899417<195>
prime factors 素因数
17035708014372115977581422565617749583<38>
composite cofactor 合成数の残り
33792720765683466079469430821890032850028966722968790867846913245044299507783363704786191672888385310068581241019398912928685086771185073940520544790311302999<158>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1005499260
Step 1 took 11965ms
********** Factor found in step 1: 17035708014372115977581422565617749583
Found probable prime factor of 38 digits: 17035708014372115977581422565617749583
Composite cofactor 337927207656... has 158 digits

c158

name 名前Dmitry Domanov
date 日付March 9, 2012 20:57:16 UTC 2012 年 3 月 10 日 (土) 5 時 57 分 16 秒 (日本時間)
composite number 合成数
33792720765683466079469430821890032850028966722968790867846913245044299507783363704786191672888385310068581241019398912928685086771185073940520544790311302999<158>
prime factors 素因数
96530413221287010858171929817030681163817771<44>
157900610777374205340664796836963934682387203<45>
2217048452383563083357219954272619297792718968752142772923984127358423<70>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3078898549
Step 1 took 71826ms
Step 2 took 26336ms
********** Factor found in step 2: 157900610777374205340664796836963934682387203
Found probable prime factor of 45 digits: 157900610777374205340664796836963934682387203
Composite cofactor 214012603240200203803720665460140607363009598829138438399779564496717057950057424387495333650976306959299973935133 has 114 digits

N=214012603240200203803720665460140607363009598829138438399779564496717057950057424387495333650976306959299973935133
  ( 114 digits)
Divisors found:
 r1=96530413221287010858171929817030681163817771 (pp44)
 r2=2217048452383563083357219954272619297792718968752142772923984127358423 (pp70)
Version: Msieve v. 1.48
Total time: 0.53 hours.
Scaled time: 0.57 units (timescale=1.076).
Factorization parameters were as follows:
n: 214012603240200203803720665460140607363009598829138438399779564496717057950057424387495333650976306959299973935133
skew: 127852.78
c0: -35405696245308474856663711280
c1:  1022088075381399789132344
c2:  48110546309860398860
c3: -227936677832033
c4: -831264066
c5:  5940
Y0: -8153272876631678029149
Y1:  936828578231
rlim: 4240000
alim: 4240000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.500000
alambda: 2.500000
type: gnfs
Factor base limits: 4240000/4240000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2120000, 3120001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 525511 x 525747
Total sieving time: 0.00 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.33 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4240000,4240000,27,27,54,54,2.500000,2.500000,100000
total time: 0.53 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 2, 2012 09:48:19 UTC 2012 年 3 月 2 日 (金) 18 時 48 分 19 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 9, 2012 16:22:07 UTC 2012 年 3 月 10 日 (土) 1 時 22 分 7 秒 (日本時間)

68×10223+319

c210

name 名前Bob Backstrom
date 日付October 1, 2018 03:58:33 UTC 2018 年 10 月 1 日 (月) 12 時 58 分 33 秒 (日本時間)
composite number 合成数
218438011859703282321613103910789909485114316759397094288320275263968736486261275362307278670100101126394699172712107867517979345336954798201293606491397676851089593159475744481586815172288536283812479602101273<210>
prime factors 素因数
2423294515881306904389432474690970189627012552809893171119229453<64>
90140926093855934711691580232185151732263517951886514700584028100383110856123112094659621179996803198417169169005254951425590991125459768988762941<146>
factorization results 素因数分解の結果
Number: n
N=218438011859703282321613103910789909485114316759397094288320275263968736486261275362307278670100101126394699172712107867517979345336954798201293606491397676851089593159475744481586815172288536283812479602101273
  ( 210 digits)
SNFS difficulty: 224 digits.
Divisors found:

Mon Oct  1 13:54:25 2018  p64 factor: 2423294515881306904389432474690970189627012552809893171119229453
Mon Oct  1 13:54:25 2018  p146 factor: 90140926093855934711691580232185151732263517951886514700584028100383110856123112094659621179996803198417169169005254951425590991125459768988762941
Mon Oct  1 13:54:25 2018  elapsed time 21:56:21 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.123).
Factorization parameters were as follows:
#
# 68x10^223+31 = 75(222)9
#
n: 218438011859703282321613103910789909485114316759397094288320275263968736486261275362307278670100101126394699172712107867517979345336954798201293606491397676851089593159475744481586815172288536283812479602101273
m: 10000000000000000000000000000000000000
deg: 6
c6: 680
c0: 31
skew: 0.60
# Murphy_E = 1.249e-12
type: snfs
lss: 1
rlim: 39000000
alim: 39000000
lpbr: 29
lpba: 29
mfbr: 59
mfba: 59
rlambda: 2.6
alambda: 2.6
Factor base limits: 39000000/39000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 59/59
Sieved  special-q in [100000, 95500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10842721 hash collisions in 55168803 relations (45680467 unique)
Msieve: matrix is 6578104 x 6578329 (2311.0 MB)

Sieving start time: 2018/09/28 16:25:38
Sieving end time  : 2018/09/30 15:56:12

Total sieving time: 47hrs 30min 34secs.

Total relation processing time: 21hrs 7min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 16min 2sec.

Prototype def-par.txt line would be:
snfs,224,6,0,0,0,0,0,0,0,0,39000000,39000000,29,29,59,59,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.044000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285124K/16703460K available (12300K kernel code, 2471K rwdata, 4244K rodata, 2408K init, 2416K bss, 418336K reserved, 0K cma-reserved)
[    0.076545] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.34 BogoMIPS (lpj=11976684)
[    0.074210] smpboot: Total of 16 processors activated (95813.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 2, 2012 09:48:26 UTC 2012 年 3 月 2 日 (金) 18 時 48 分 26 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 9, 2012 16:22:18 UTC 2012 年 3 月 10 日 (土) 1 時 22 分 18 秒 (日本時間)

68×10224+319

c147

name 名前ebina
date 日付October 22, 2022 08:30:50 UTC 2022 年 10 月 22 日 (土) 17 時 30 分 50 秒 (日本時間)
composite number 合成数
765541062761547373012609375876567617915883742516466816845066960333375095694346394875716662149153576514188747045671505366682441124613413833727038981<147>
prime factors 素因数
721290928360792665766410351100253615994590266945320113213<57>
1061348524791955527611561301908641870032380040534680776395895424427826714886307827877477737<91>
factorization results 素因数分解の結果
Number: 75559_224
N = 765541062761547373012609375876567617915883742516466816845066960333375095694346394875716662149153576514188747045671505366682441124613413833727038981 (147 digits)
Divisors found:
r1=721290928360792665766410351100253615994590266945320113213 (pp57)
r2=1061348524791955527611561301908641870032380040534680776395895424427826714886307827877477737 (pp91)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 117.34 hours.
Factorization parameters were as follows:
n: 765541062761547373012609375876567617915883742516466816845066960333375095694346394875716662149153576514188747045671505366682441124613413833727038981
# norm 3.097767e-14 alpha -6.676711 e 7.520e-12 rroots 5
skew: 12039873.18
c0: 22985470725184130684718096362512341301
c1: 22307919556432172236881142091931
c2: -6019597706122364868381434
c3: -260439856703597793
c4: 38777470363
c5: 912
Y0: -60924862964644100642223626130
Y1: 2795515191473251
type: gnfs
Factor base limits: 17700000/17700000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [0, 0)
Total raw relations: 42939578
Relations: 6436754 relations
Pruned matrix : 3751353 x 3751591
Polynomial selection time: 0.80 hours.
Total sieving time: 107.58 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 8.27 hours.
time per square root: 0.28 hours.
Prototype def-par.txt line would be: gnfs,146,5,65,2000,1e-05,0.28,250,20,50000,3600,17700000,17700000,29,29,58,58,2.6,2.6,100000
total time: 117.34 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
processors: 8, speed: 2.19GHz
Windows-7-6.1.7601-SP1
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 2, 2012 09:48:35 UTC 2012 年 3 月 2 日 (金) 18 時 48 分 35 秒 (日本時間)
4511e63598400Dmitry DomanovMarch 9, 2012 16:22:35 UTC 2012 年 3 月 10 日 (土) 1 時 22 分 35 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:10:33 UTC 2013 年 11 月 9 日 (土) 2 時 10 分 33 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:41 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 41 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:01:45 UTC 2014 年 5 月 25 日 (日) 4 時 1 分 45 秒 (日本時間)
1048Ignacio SantosJanuary 5, 2016 23:20:36 UTC 2016 年 1 月 6 日 (水) 8 時 20 分 36 秒 (日本時間)
5043e66751200Dmitry DomanovMarch 11, 2012 17:49:51 UTC 2012 年 3 月 12 日 (月) 2 時 49 分 51 秒 (日本時間)
6551Ignacio SantosJune 19, 2021 21:03:50 UTC 2021 年 6 月 20 日 (日) 6 時 3 分 50 秒 (日本時間)

68×10225+319

c224

name 名前Bob Backstrom
date 日付September 21, 2018 18:41:05 UTC 2018 年 9 月 22 日 (土) 3 時 41 分 5 秒 (日本時間)
composite number 合成数
19423021993716081119680091402456441016852327906312482147957726363896029705798343330477006569551556698086261068266209654384461582405027135104255926878034847186518137674950014281633818908883176235361325335618394744358754641531<224>
prime factors 素因数
147783898121335615698509082490496723920568515069<48>
310012787261507380102974241581547767222488675471233126449727258320323987858033<78>
423945545444273196008034990957795503940573742191724476372081148997558934674617728188917586971708103<99>
factorization results 素因数分解の結果
Number: n
N=19423021993716081119680091402456441016852327906312482147957726363896029705798343330477006569551556698086261068266209654384461582405027135104255926878034847186518137674950014281633818908883176235361325335618394744358754641531
  ( 224 digits)
SNFS difficulty: 227 digits.
Divisors found:

Sat Sep 22 04:05:43 2018  found factor: 423945545444273196008034990957795503940573742191724476372081148997558934674617728188917586971708103
Sat Sep 22 04:26:11 2018  p48 factor: 147783898121335615698509082490496723920568515069
Sat Sep 22 04:26:11 2018  p78 factor: 310012787261507380102974241581547767222488675471233126449727258320323987858033
Sat Sep 22 04:26:11 2018  p99 factor: 423945545444273196008034990957795503940573742191724476372081148997558934674617728188917586971708103
Sat Sep 22 04:26:11 2018  elapsed time 28:24:16 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.125).
Factorization parameters were as follows:
#
# N = 68x10^225+31 = 75(224)9
#
n: 19423021993716081119680091402456441016852327906312482147957726363896029705798343330477006569551556698086261068266209654384461582405027135104255926878034847186518137674950014281633818908883176235361325335618394744358754641531
m: 20000000000000000000000000000000000000
deg: 6
c6: 2125
c0: 62
skew: 0.55
# Murphy_E = 8.833e-13
type: snfs
lss: 1
rlim: 43000000
alim: 43000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 43000000/43000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved  special-q in [100000, 104700000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 18450890 hash collisions in 100046239 relations (83323135 unique)
Msieve: matrix is 7411705 x 7411930 (2623.4 MB)

Sieving start time: 2018/09/18 17:10:04
Sieving end time  : 2018/09/20 23:58:54

Number: n
N=19423021993716081119680091402456441016852327906312482147957726363896029705798343330477006569551556698086261068266209654384461582405027135104255926878034847186518137674950014281633818908883176235361325335618
394744358754641531
  ( 224 digits)
SNFS difficulty: 227 digits.
Divisors found:

Sat Sep 22 04:05:43 2018  found factor: 423945545444273196008034990957795503940573742191724476372081148997558934674617728188917586971708103
Sat Sep 22 04:26:11 2018  p48 factor: 147783898121335615698509082490496723920568515069
Sat Sep 22 04:26:11 2018  p78 factor: 310012787261507380102974241581547767222488675471233126449727258320323987858033
Sat Sep 22 04:26:11 2018  p99 factor: 423945545444273196008034990957795503940573742191724476372081148997558934674617728188917586971708103
Sat Sep 22 04:26:11 2018  elapsed time 28:24:16 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.125).
Factorization parameters were as follows:
#
# N = 68x10^225+31 = 75(224)9
#
n: 1942302199371608111968009140245644101685232790631248214795772636389602970579834333047700656955155669808626106826620965438446158240502713510425592687803484718651813767495001428163381890888317623536132533561
8394744358754641531
m: 20000000000000000000000000000000000000
deg: 6
c6: 2125
c0: 62
skew: 0.55
# Murphy_E = 8.833e-13
type: snfs
lss: 1
rlim: 43000000
alim: 43000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 43000000/43000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved  special-q in [100000, 104700000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 18450890 hash collisions in 100046239 relations (83323135 unique)
Msieve: matrix is 7411705 x 7411930 (2623.4 MB)

Sieving start time: 2018/09/18 17:10:04
Sieving end time  : 2018/09/20 23:58:54

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 2, 2012 09:48:42 UTC 2012 年 3 月 2 日 (金) 18 時 48 分 42 秒 (日本時間)
4511e64350400Dmitry DomanovMarch 9, 2012 16:22:51 UTC 2012 年 3 月 10 日 (土) 1 時 22 分 51 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:15:38 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 38 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:34 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 34 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:36 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 36 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:49 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 49 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 00:18:45 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 45 秒 (日本時間)

68×10226+319

c160

name 名前Dmitry Domanov
date 日付March 13, 2012 08:52:28 UTC 2012 年 3 月 13 日 (火) 17 時 52 分 28 秒 (日本時間)
composite number 合成数
5312393763804892466443411697040798236373218324273650588073099954074190081454075748606933701364106546746136803850306024727067915633512076495067666074590624829739<160>
prime factors 素因数
25640067531124115956860547934081752390436689<44>
207191098750276405618295048932161139903556496028536386361555823143090277745194718491929290656087468090453948821547451<117>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1630386795
Step 1 took 311567ms
Step 2 took 82433ms
********** Factor found in step 2: 25640067531124115956860547934081752390436689
Found probable prime factor of 44 digits: 25640067531124115956860547934081752390436689

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 2, 2012 09:48:50 UTC 2012 年 3 月 2 日 (金) 18 時 48 分 50 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovMarch 9, 2012 16:23:02 UTC 2012 年 3 月 10 日 (土) 1 時 23 分 2 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 11, 2012 17:50:10 UTC 2012 年 3 月 12 日 (月) 2 時 50 分 10 秒 (日本時間)

68×10228+319

c158

composite cofactor 合成数の残り
51632010151398586378472022031147480941838489541032281268465126747122668664075495499380490606991812499637878904187046001237599931771552861899993004163854446951<158>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 2, 2012 09:49:00 UTC 2012 年 3 月 2 日 (金) 18 時 49 分 0 秒 (日本時間)
4511e63558400Dmitry DomanovMarch 9, 2012 16:23:13 UTC 2012 年 3 月 10 日 (土) 1 時 23 分 13 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:12:31 UTC 2013 年 11 月 9 日 (土) 2 時 12 分 31 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:19 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 19 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:10 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 10 秒 (日本時間)
1008Ignacio SantosJanuary 7, 2016 23:19:27 UTC 2016 年 1 月 8 日 (金) 8 時 19 分 27 秒 (日本時間)
5043e6200 / 6716Dmitry DomanovMarch 11, 2012 17:50:25 UTC 2012 年 3 月 12 日 (月) 2 時 50 分 25 秒 (日本時間)

68×10229+319

c204

composite cofactor 合成数の残り
420667009077417020584971736649941623931184951010015923962140956857773489512785596120298323151821447311302448300311250165417632074124563487433107153999878138092798949309053257397120697230733416855545130291<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 2, 2012 09:49:08 UTC 2012 年 3 月 2 日 (金) 18 時 49 分 8 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 9, 2012 16:23:24 UTC 2012 年 3 月 10 日 (土) 1 時 23 分 24 秒 (日本時間)

68×10231+319

c232

name 名前Serge Batalov
date 日付March 1, 2012 00:56:32 UTC 2012 年 3 月 1 日 (木) 9 時 56 分 32 秒 (日本時間)
composite number 合成数
7555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559<232>
prime factors 素因数
47770187463812576551017858368901585507427<41>
composite cofactor 合成数の残り
158164662034854419511666808270566597966839977109278781810817083213027220177574006639667644322783970431141661105782646034494094501070422674052490824920814186717210175706820300053552100963935917<192>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2088005588
Step 1 took 59395ms
Step 2 took 4859ms
********** Factor found in step 2: 47770187463812576551017858368901585507427
Found probable prime factor of 41 digits: 47770187463812576551017858368901585507427
Composite cofactor 158164662034... has 192 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)
403e6500Serge BatalovFebruary 28, 2012 22:45:15 UTC 2012 年 2 月 29 日 (水) 7 時 45 分 15 秒 (日本時間)
4511e6930 / 4365530Serge BatalovFebruary 29, 2012 23:13:07 UTC 2012 年 3 月 1 日 (木) 8 時 13 分 7 秒 (日本時間)
400Dmitry DomanovMarch 9, 2012 16:23:53 UTC 2012 年 3 月 10 日 (土) 1 時 23 分 53 秒 (日本時間)

68×10232+319

c214

composite cofactor 合成数の残り
1894103442647825274287644700731652949432042013921207663874469143347153211008505518102359726243569332374296768326972672359229900090094900151667156084426086073987045175539261078415735758884599508531659534708274049027<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 2, 2012 09:49:55 UTC 2012 年 3 月 2 日 (金) 18 時 49 分 55 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 9, 2012 16:24:07 UTC 2012 年 3 月 10 日 (土) 1 時 24 分 7 秒 (日本時間)

68×10233+319

c196

composite cofactor 合成数の残り
1965210304623446448089075087453762912557476826393432328972917489118251147667782166223767536590373454770307411570670425163917685957078862710347590739119337230324858889260144012898700980957300919611<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 3, 2012 14:01:41 UTC 2012 年 3 月 3 日 (土) 23 時 1 分 41 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 9, 2012 16:24:17 UTC 2012 年 3 月 10 日 (土) 1 時 24 分 17 秒 (日本時間)

68×10234+319

c183

composite cofactor 合成数の残り
952224715272822852917618998934413218577196758384912350722144521970472832280616613381945463065593453026818151184871436629484927714664871870413673254717563689640594997552316983833088641<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 3, 2012 14:01:55 UTC 2012 年 3 月 3 日 (土) 23 時 1 分 55 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovMarch 9, 2012 16:24:30 UTC 2012 年 3 月 10 日 (土) 1 時 24 分 30 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 19, 2012 20:57:14 UTC 2012 年 3 月 20 日 (火) 5 時 57 分 14 秒 (日本時間)

68×10235+319

c208

composite cofactor 合成数の残り
5593253227129597048741771933299907521009984273423488125310227896548160339497816004749259730903372171604701877184217686577303772536929478001320703309371645666002604516239193892389480832685751915721495055256253<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 3, 2012 14:02:05 UTC 2012 年 3 月 3 日 (土) 23 時 2 分 5 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 9, 2012 16:24:40 UTC 2012 年 3 月 10 日 (土) 1 時 24 分 40 秒 (日本時間)

68×10236+319

c214

name 名前Dmitry Domanov
date 日付March 9, 2012 16:32:31 UTC 2012 年 3 月 10 日 (土) 1 時 32 分 31 秒 (日本時間)
composite number 合成数
1475006902439088914572447866763572541174173788417902930001332139636306916762346272848961084527795022779432315539220059454809286984933378532074225672783181391180438071976808223365357994503255522400823832436956291371<214>
prime factors 素因数
318054315905380983120945000727955677<36>
4637594362586463168272889388154933860656518178697449474745602568074881193772737234724329214510570855072658568353483695477849455645106546625261977931131067690628149150534427520423<178>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3383254891
Step 1 took 113558ms
Step 2 took 36262ms
********** Factor found in step 2: 318054315905380983120945000727955677
Found probable prime factor of 36 digits: 318054315905380983120945000727955677

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 3, 2012 14:02:15 UTC 2012 年 3 月 3 日 (土) 23 時 2 分 15 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 9, 2012 16:24:51 UTC 2012 年 3 月 10 日 (土) 1 時 24 分 51 秒 (日本時間)

68×10238+319

c189

composite cofactor 合成数の残り
148744023762950809300277037944494249625451015575043460686467626873293494350731439735040865861736170899291750533161876561502782880410533877379502627830050992627949435665433695650424904359483<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 3, 2012 14:02:24 UTC 2012 年 3 月 3 日 (土) 23 時 2 分 24 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 9, 2012 16:25:03 UTC 2012 年 3 月 10 日 (土) 1 時 25 分 3 秒 (日本時間)

68×10240+319

c201

composite cofactor 合成数の残り
214044817406346131731705960556787574878639332561527381165868236202083588283057563389670272195842130856763363033737524607587759284834834184525837006015430022576044461476444402624162499124407091671013667<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 2, 2012 09:50:10 UTC 2012 年 3 月 2 日 (金) 18 時 50 分 10 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 9, 2012 16:25:16 UTC 2012 年 3 月 10 日 (土) 1 時 25 分 16 秒 (日本時間)

68×10242+319

c205

composite cofactor 合成数の残り
3324484259991402190802638876579560179899857181706506358599142410952004787152531205965785618411112470457678644174193303253683862510378387584080356673717737595651907614319625705185772121966488112038821654251<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 2, 2012 09:50:19 UTC 2012 年 3 月 2 日 (金) 18 時 50 分 19 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 9, 2012 16:25:49 UTC 2012 年 3 月 10 日 (土) 1 時 25 分 49 秒 (日本時間)

68×10244+319

c217

composite cofactor 合成数の残り
3230267642319744090974670393610833927667901477582412920590581152264208274445363263695469848289695367007877949252787744341396885359142729978660007788524956298925979581228200347258132674790575447179509100872912160983447<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 2, 2012 09:50:28 UTC 2012 年 3 月 2 日 (金) 18 時 50 分 28 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 9, 2012 16:26:04 UTC 2012 年 3 月 10 日 (土) 1 時 26 分 4 秒 (日本時間)

68×10245+319

c215

name 名前Dmitry Domanov
date 日付March 3, 2012 17:09:33 UTC 2012 年 3 月 4 日 (日) 2 時 9 分 33 秒 (日本時間)
composite number 合成数
12006712288087946271165044005809181019376410805394456861567081800597426857605649418307351942286712252503202992875526156390087129941359905823364070719147641986132009667389211439356441255428628749615791026579853730561<215>
prime factors 素因数
19967299346242043054983429443356464837<38>
composite cofactor 合成数の残り
601318790282356156255832715867481026919512965660398011027472295783984468776097407304298270259102861450683388466100957588921143864559520631608856164767576582509210458172830416653<177>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4111271297
Step 1 took 30747ms
Step 2 took 10941ms
********** Factor found in step 2: 19967299346242043054983429443356464837
Found probable prime factor of 38 digits: 19967299346242043054983429443356464837

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 2, 2012 09:50:35 UTC 2012 年 3 月 2 日 (金) 18 時 50 分 35 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovMarch 9, 2012 16:26:16 UTC 2012 年 3 月 10 日 (土) 1 時 26 分 16 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 19, 2012 20:57:41 UTC 2012 年 3 月 20 日 (火) 5 時 57 分 41 秒 (日本時間)

68×10246+319

c225

composite cofactor 合成数の残り
153879814341524146337838733128435636867883024710572844665530298857414931393988328365673149769683696679842274041846006648447651301469062942927650019866004346686506746841104197109186430755806478576392255366991495196555375592823<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 2, 2012 09:50:45 UTC 2012 年 3 月 2 日 (金) 18 時 50 分 45 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 9, 2012 16:26:28 UTC 2012 年 3 月 10 日 (土) 1 時 26 分 28 秒 (日本時間)

68×10247+319

c196

composite cofactor 合成数の残り
2991977096359878375009169413647111213942390811546848633379360475266263268574610920127448517772598041107132579352725897310742249047137174416452193976521627992594164981006154863740888817081950052507<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 2, 2012 09:51:07 UTC 2012 年 3 月 2 日 (金) 18 時 51 分 7 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 9, 2012 16:26:39 UTC 2012 年 3 月 10 日 (土) 1 時 26 分 39 秒 (日本時間)

68×10248+319

c196

name 名前Dmitry Domanov
date 日付March 3, 2012 13:42:05 UTC 2012 年 3 月 3 日 (土) 22 時 42 分 5 秒 (日本時間)
composite number 合成数
1758133728495188767406953983822372696376589668480296458983127451857675984941690163054814181612277222785850713137356622457622260372762329047696347861490815973761398175320921942911143264549255009603<196>
prime factors 素因数
16612443436872673340839930817863584176786531<44>
105832337980628878479721908799553596229060231290547987923714965982960633739118857767964529966613651831465828267157489545245884229530768185879150036023713<153>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=114133189
Step 1 took 27356ms
Step 2 took 9920ms
********** Factor found in step 2: 16612443436872673340839930817863584176786531
Found probable prime factor of 44 digits: 16612443436872673340839930817863584176786531

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000 / 2318Dmitry DomanovMarch 2, 2012 09:51:18 UTC 2012 年 3 月 2 日 (金) 18 時 51 分 18 秒 (日本時間)

68×10249+319

c230

name 名前Serge Batalov
date 日付February 28, 2012 23:34:41 UTC 2012 年 2 月 29 日 (水) 8 時 34 分 41 秒 (日本時間)
composite number 合成数
18555425349551325755211706614879577042401712655105359310503792184262440806453711905409911761833478018323845270901021423958583626962628602976288243570807029330493751505101300271942137871670847503957922230238113045049561326620537853<230>
prime factors 素因数
1057559764140190548096714666139<31>
composite cofactor 合成数の残り
17545509935920378964662157540029926674431352754079999674743420897332241483443969877815174865649735487239012637975813618699516921895156169605484229774991972225145323888418552061353914429178010091993927<200>
factorization results 素因数分解の結果
Using B1=200000000, B2=12721007621976, polynomial x^1, x0=1990078017
Step 1 took 264929ms
Step 2 took 68796ms
********** Factor found in step 2: 1057559764140190548096714666139
Found probable prime factor of 31 digits: 1057559764140190548096714666139
Composite cofactor 175455099359... has 200 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 2, 2012 09:51:26 UTC 2012 年 3 月 2 日 (金) 18 時 51 分 26 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 9, 2012 16:26:53 UTC 2012 年 3 月 10 日 (土) 1 時 26 分 53 秒 (日本時間)

68×10250+319

c243

name 名前Dmitry Domanov
date 日付March 3, 2012 06:41:41 UTC 2012 年 3 月 3 日 (土) 15 時 41 分 41 秒 (日本時間)
composite number 合成数
789681326086673998602294246524349160009179859608386741310457881840728729726480831355039352717912588062779214841016286374894954819027447268562028895064498795864300933311236656274146865427737724502205824396582347014679598687805585697285318660181<243>
prime factors 素因数
43456379610079055194922832704491208338547<41>
18171815810986685693701645221454001569286847461220115910419870140581657684050472893202232773096015793617348304267348038879617076221582618872752268764721715603014285500958391650578753561800168570523788823<203>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=787811884
Step 1 took 35151ms
Step 2 took 12403ms
********** Factor found in step 2: 43456379610079055194922832704491208338547
Found probable prime factor of 41 digits: 43456379610079055194922832704491208338547

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 28, 2012 01:00:00 UTC 2012 年 2 月 28 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61000 / 2318Dmitry DomanovMarch 2, 2012 09:51:33 UTC 2012 年 3 月 2 日 (金) 18 時 51 分 33 秒 (日本時間)

68×10251+319

c214

composite cofactor 合成数の残り
1370355004697854029325726592533913819069741786823480858833695107193899277514310270996766906091749211965633607698019162246582235747347510149122872452551785316584105933326143539577684255266634713054744993428373090123<214>

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 9, 2021 20:25:23 UTC 2021 年 5 月 10 日 (月) 5 時 25 分 23 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 18, 2022 08:07:43 UTC 2022 年 2 月 18 日 (金) 17 時 7 分 43 秒 (日本時間)

68×10252+319

c238

composite cofactor 合成数の残り
6675061225752471769400430516851969155359335280471751889634494295734448232561778254245775446984515458757394142561537010812555415074970687193275281181656177377088859581996921381865044645471686840647969962688614784361285515160417370339113911<238>

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 9, 2021 20:25:09 UTC 2021 年 5 月 10 日 (月) 5 時 25 分 9 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 19, 2022 09:06:57 UTC 2022 年 2 月 19 日 (土) 18 時 6 分 57 秒 (日本時間)

68×10253+319

c247

composite cofactor 合成数の残り
1657952189569317100001607482174386839358869205607349372416454856569495478590050248069023924072109441365517510989912855521606302492640661096537345640049114688030804517618359384285027513850684976973616350941002583243115743029669710298723803249087443<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 9, 2021 20:24:22 UTC 2021 年 5 月 10 日 (月) 5 時 24 分 22 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 22, 2022 18:55:00 UTC 2022 年 2 月 23 日 (水) 3 時 55 分 0 秒 (日本時間)

68×10255+319

c216

composite cofactor 合成数の残り
143054976236747180600585543078917111668214823980973025861095499684165922995934857520137470513330438784604560999655951464706190380085569328845788474274221500472215169149690864810784566964324635875298260903842988691899<216>

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 9, 2021 20:24:08 UTC 2021 年 5 月 10 日 (月) 5 時 24 分 8 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 18, 2022 09:48:07 UTC 2022 年 2 月 18 日 (金) 18 時 48 分 7 秒 (日本時間)

68×10256+319

c251

composite cofactor 合成数の残り
67392263308708398532870427769418163939410787459766571039027157000881748480378792090804335582153696183189614376514034091962095023289477817985191342988067902462384463149761763393890237229686410915009535509726834380242411953246815542122691777816825647989<251>

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 12, 2021 09:13:49 UTC 2021 年 5 月 12 日 (水) 18 時 13 分 49 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 04:24:08 UTC 2022 年 3 月 5 日 (土) 13 時 24 分 8 秒 (日本時間)

68×10257+319

c216

composite cofactor 合成数の残り
621511857829877899167855090604035568047734381806013085017171469873580972271772858654156454090998711592419192098210797166454062550837975406752585416330478623941027853440888496974885281137495995215158870486873842428551<216>

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 9, 2021 20:23:53 UTC 2021 年 5 月 10 日 (月) 5 時 23 分 53 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 18, 2022 13:24:27 UTC 2022 年 2 月 18 日 (金) 22 時 24 分 27 秒 (日本時間)

68×10258+319

c239

composite cofactor 合成数の残り
38786320302827860540579205112177152317136721375076961708371999329473155855213954499547271987292925979998828766524396685399253195229158306407097595803714174047238692499564142188807672886090476758985403407945506963204491507089849334838359661<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 9, 2021 20:23:37 UTC 2021 年 5 月 10 日 (月) 5 時 23 分 37 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 19, 2022 13:52:41 UTC 2022 年 2 月 19 日 (土) 22 時 52 分 41 秒 (日本時間)

68×10263+319

c246

composite cofactor 合成数の残り
208324648499464815418609072850200292429629591462038711018332545498753236163421495474349558583971397249367192306730475309921576609163325714868627414463832635398634349837974180864664866680335588527418591096911491678099840405712493710179882536155053<246>

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 9, 2021 20:23:11 UTC 2021 年 5 月 10 日 (月) 5 時 23 分 11 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 23, 2022 19:25:19 UTC 2022 年 2 月 24 日 (木) 4 時 25 分 19 秒 (日本時間)

68×10265+319

c214

name 名前Eric Jeancolas
date 日付May 9, 2021 20:22:42 UTC 2021 年 5 月 10 日 (月) 5 時 22 分 42 秒 (日本時間)
composite number 合成数
3238894338735743745177761512032104013194670073882034858792013816673801692595353910641778841246308286127032098897122225134375139978719841220215049221541619770911759767254780014878232362167734573300786721337439955777<214>
prime factors 素因数
5905896796647006680852081476192896797<37>
composite cofactor 合成数の残り
548417022893895192860122983529861913078247622283504234630987051316119981178273528422046686605738058439766597551958792126164661404414943340676003306621721230318748349069649684341<177>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 3238894338735743745177761512032104013194670073882034858792013816673801692595353910641778841246308286127032098897122225134375139978719841220215049221541619770911759767254780014878232362167734573300786721337439955777 (214 digits)
Run 552 out of 1200:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2774661877
Step 1 took 7314ms
Step 2 took 3683ms
********** Factor found in step 2: 5905896796647006680852081476192896797
Found prime factor of 37 digits: 5905896796647006680852081476192896797
Composite cofactor 548417022893895192860122983529861913078247622283504234630987051316119981178273528422046686605738058439766597551958792126164661404414943340676003306621721230318748349069649684341 has 177 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--
351e61200552Eric JeancolasMay 9, 2021 20:19:33 UTC 2021 年 5 月 10 日 (月) 5 時 19 分 33 秒 (日本時間)
648Eric JeancolasMay 9, 2021 20:21:05 UTC 2021 年 5 月 10 日 (月) 5 時 21 分 5 秒 (日本時間)
403e62350Ignacio SantosMay 11, 2021 18:53:23 UTC 2021 年 5 月 12 日 (水) 3 時 53 分 23 秒 (日本時間)
4511e64480Ignacio SantosMay 13, 2021 09:28:09 UTC 2021 年 5 月 13 日 (木) 18 時 28 分 9 秒 (日本時間)

68×10266+319

c263

composite cofactor 合成数の残り
36868957963966015495806156031598865737352049751405629022376204340777609698704706756236546896772339606478092790492146369763116945081518350439445447496977287637513080347218833531232887110503857685822259091180186188237718028378253821087959574271973627851244598426563<263>

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 12, 2021 09:06:07 UTC 2021 年 5 月 12 日 (水) 18 時 6 分 7 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 10:45:52 UTC 2022 年 3 月 5 日 (土) 19 時 45 分 52 秒 (日本時間)

68×10267+319

c254

composite cofactor 合成数の残り
42572232249444713162850958032183114620936324760737150006415866286705246591320823470631937387692723679943593587393169705580580856708601686135458554324138827767010400293225707314411211404460954038813650956124094581111451293471384964052219720031026264736553<254>

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 12, 2021 09:06:16 UTC 2021 年 5 月 12 日 (水) 18 時 6 分 16 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 06:36:17 UTC 2022 年 3 月 5 日 (土) 15 時 36 分 17 秒 (日本時間)

68×10268+319

c208

composite cofactor 合成数の残り
5689204283554379507532966833033053246877368639074880340979114784790148698246902971916121478091549331931380016253130039158575651660515728076933897000600691777496572913336097210687810948555891812230598782097883<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 12, 2021 09:05:34 UTC 2021 年 5 月 12 日 (水) 18 時 5 分 34 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 01:22:07 UTC 2022 年 2 月 20 日 (日) 10 時 22 分 7 秒 (日本時間)

68×10269+319

c251

composite cofactor 合成数の残り
14335379255907018207282885299842284752721103163052375950340600793962716332524552293893785537242845566236181249909323701851152587417596338782923592344697013441975227210894757932529835274191646852656175525529070851599398998632655515973143764165877531603<251>

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 12, 2021 09:05:12 UTC 2021 年 5 月 12 日 (水) 18 時 5 分 12 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 4, 2022 06:56:45 UTC 2022 年 3 月 4 日 (金) 15 時 56 分 45 秒 (日本時間)

68×10271+319

c260

composite cofactor 合成数の残り
41945531302768337878673139347752320359125245994884065303650985259618015614915573190458110658646382926078923062361396563383264117630497266099939145484950738538731998535780478623188272821922546925524249310211421977733408479378464896006003772507643557072340295193<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 12, 2021 09:05:03 UTC 2021 年 5 月 12 日 (水) 18 時 5 分 3 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 16:54:13 UTC 2022 年 3 月 6 日 (日) 1 時 54 分 13 秒 (日本時間)

68×10273+319

c215

composite cofactor 合成数の残り
35318783637181520480883195933705990523688002103532742975304408904309360381234528888491690704776539244799497526977771139963498773439643347570875456178171763541340983401491858313950341892816765283454428813144655994337<215>

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 12, 2021 09:04:48 UTC 2021 年 5 月 12 日 (水) 18 時 4 分 48 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 15:08:23 UTC 2022 年 2 月 21 日 (月) 0 時 8 分 23 秒 (日本時間)

68×10274+319

c236

composite cofactor 合成数の残り
66324727253384894110139709880900380475173445819666091920387700225606172206151977691571956386896623705879384175405530627785695341384592694332305628944669459345947345351505185269120561772759394136794289192834443283199569646006325917368933<236>

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 12, 2021 09:04:35 UTC 2021 年 5 月 12 日 (水) 18 時 4 分 35 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 18:17:25 UTC 2022 年 2 月 21 日 (月) 3 時 17 分 25 秒 (日本時間)

68×10275+319

c247

composite cofactor 合成数の残り
2115619388977457083159034752314385100253371002273249384167708105534297950628864445575692586773914679374137829834145693681894289602466613266101697726028642198409317317414780772554602976971065729004319207452558347305316508406224168452115946602750401<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 12, 2021 09:04:22 UTC 2021 年 5 月 12 日 (水) 18 時 4 分 22 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 2, 2022 12:18:14 UTC 2022 年 3 月 2 日 (水) 21 時 18 分 14 秒 (日本時間)

68×10277+319

c237

composite cofactor 合成数の残り
202978416151463250688578028839526725125325011598621850066946282740592314605982643215837645394627895529953506327334290087784314553831001645082447067177514764293630764283810204710872518425677352240239701263682962855183255850726411202834913<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 12, 2021 09:04:10 UTC 2021 年 5 月 12 日 (水) 18 時 4 分 10 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 21, 2022 10:32:53 UTC 2022 年 2 月 21 日 (月) 19 時 32 分 53 秒 (日本時間)

68×10278+319

c249

composite cofactor 合成数の残り
614010035469241274281798147670037411859328570013096473222320020981839146656693095459779703900838733912217454407253361797287705624956559383392533101252899129169717592815645793115530679906773329398665846750306573214703099545770463307267889252989059361<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 12, 2021 09:03:53 UTC 2021 年 5 月 12 日 (水) 18 時 3 分 53 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 3, 2022 23:40:41 UTC 2022 年 3 月 4 日 (金) 8 時 40 分 41 秒 (日本時間)

68×10279+319

c226

name 名前Eric Jeancolas
date 日付May 12, 2021 01:08:53 UTC 2021 年 5 月 12 日 (水) 10 時 8 分 53 秒 (日本時間)
composite number 合成数
2572608349766356138956267722178284440254640241510379248715714753245565456321325564687099646811034471739640727897132340239182537267952917212038080957782891601813834985679149213695369689810797318750595257272412758189987126558653<226>
prime factors 素因数
83406982723209441846000840831275725103<38>
30844040460061902893925977815856439091234206503696976701796149919093984237958099229590600590348985348591179696155718198992168672547837297102140750009264323481551926554847513036150080432851<188>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 2572608349766356138956267722178284440254640241510379248715714753245565456321325564687099646811034471739640727897132340239182537267952917212038080957782891601813834985679149213695369689810797318750595257272412758189987126558653 (226 digits)
Run 703 out of 1200:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3714776954
Step 1 took 7252ms
Step 2 took 3739ms
********** Factor found in step 2: 83406982723209441846000840831275725103
Found prime factor of 38 digits: 83406982723209441846000840831275725103
Prime cofactor 30844040460061902893925977815856439091234206503696976701796149919093984237958099229590600590348985348591179696155718198992168672547837297102140750009264323481551926554847513036150080432851 has 188 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--
351e6703 / 902Eric JeancolasMay 12, 2021 01:07:23 UTC 2021 年 5 月 12 日 (水) 10 時 7 分 23 秒 (日本時間)

68×10280+319

c195

composite cofactor 合成数の残り
917212623778236755240380447970509112297633548312569166623496839351492016822377044305694987582861347210230830765927943895654746460144719195002095646463321956438501639128956062797941805590079650467<195>

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 12, 2021 14:13:44 UTC 2021 年 5 月 12 日 (水) 23 時 13 分 44 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 16, 2022 22:12:57 UTC 2022 年 2 月 17 日 (木) 7 時 12 分 57 秒 (日本時間)

68×10281+319

c254

composite cofactor 合成数の残り
14199677777617034277275725289527075879659165610432646188649401443113382575493065715059713157487427669213443751638177465309033520614508084525949103892458235781777438931984573514485506985589672839738515947053992885134198757467560742471764195359361050916943<254>

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 12, 2021 14:13:32 UTC 2021 年 5 月 12 日 (水) 23 時 13 分 32 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 04:54:34 UTC 2022 年 3 月 5 日 (土) 13 時 54 分 34 秒 (日本時間)

68×10282+319

c247

composite cofactor 合成数の残り
2893431348846530659117335278905320996745605292927912550216612555116229872574415507167729757428005447653487088208504818099728745446124662971498967045427189314896013117502514657874386917324069642338478022461861809693358704088036228321307179994399389<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 12, 2021 14:13:09 UTC 2021 年 5 月 12 日 (水) 23 時 13 分 9 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 23:50:54 UTC 2022 年 2 月 21 日 (月) 8 時 50 分 54 秒 (日本時間)

68×10283+319

c197

composite cofactor 合成数の残り
23734178220046385572027012755988062720050748907818226290539381147251494172372150893591073085199774924393976990934585698287726711973755169884744127038911303181153892272801206972584533136923859268599<197>

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 12, 2021 14:12:08 UTC 2021 年 5 月 12 日 (水) 23 時 12 分 8 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 17, 2022 00:41:34 UTC 2022 年 2 月 17 日 (木) 9 時 41 分 34 秒 (日本時間)

68×10286+319

c264

name 名前Eric Jeancolas
date 日付May 12, 2021 14:16:16 UTC 2021 年 5 月 12 日 (水) 23 時 16 分 16 秒 (日本時間)
composite number 合成数
295328222796974593257454540113810362799869964398588166887554190139507855959651634087351172851492303864520610456198852985289583295449025541899774919694219849805313780097527570934690660545439564389838869853222804132236977094396308808706794762126289751452513198253211<264>
prime factors 素因数
9010802908459820936568122204674661347<37>
32774906498033016910327960752410580859871412846867005435632657922679413262830336703934793551860332759945559928691445943699905025603093093008311958484291933168156036691981339715570601965393301814426060682319107834300239618843113<227>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 295328222796974593257454540113810362799869964398588166887554190139507855959651634087351172851492303864520610456198852985289583295449025541899774919694219849805313780097527570934690660545439564389838869853222804132236977094396308808706794762126289751452513198253211 (264 digits)
Run 465 out of 1200:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3549643931
Step 1 took 9363ms
Step 2 took 4605ms
********** Factor found in step 2: 9010802908459820936568122204674661347
Found prime factor of 37 digits: 9010802908459820936568122204674661347
Prime cofactor 32774906498033016910327960752410580859871412846867005435632657922679413262830336703934793551860332759945559928691445943699905025603093093008311958484291933168156036691981339715570601965393301814426060682319107834300239618843113 has 227 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--
351e6465 / 902Eric JeancolasMay 12, 2021 14:11:51 UTC 2021 年 5 月 12 日 (水) 23 時 11 分 51 秒 (日本時間)

68×10287+319

c239

composite cofactor 合成数の残り
82363785314324610562457145707399855163560872700845585111112310843915568074413035074877916906451029779876886034083272177181049441926609334837141600571917065533843503305745351726146687448460102697934062868454289940135594147800734511948300909<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 14, 2021 18:29:18 UTC 2021 年 5 月 15 日 (土) 3 時 29 分 18 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 17:58:00 UTC 2022 年 2 月 21 日 (月) 2 時 58 分 0 秒 (日本時間)

68×10288+319

c243

composite cofactor 合成数の残り
251555378326302237790325212584328313711098686373431971664601888307579083430733246116293504351131947006552484411094007303816093211909557886103864426677415762049464367120885752204887786271969503099805891508225138715823492408532979741076648319843<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 14, 2021 18:29:04 UTC 2021 年 5 月 15 日 (土) 3 時 29 分 4 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 1, 2022 20:04:48 UTC 2022 年 3 月 2 日 (水) 5 時 4 分 48 秒 (日本時間)

68×10289+319

c259

composite cofactor 合成数の残り
3273116785239319687357210463337482597153669871255828291714277823314601569357210434065317497568962914402573880958358771580965990958342476413268861178490638936728230243086098329366175882319496293281190794165476546122647489617902962831892601582558074195564261277<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 14, 2021 18:28:51 UTC 2021 年 5 月 15 日 (土) 3 時 28 分 51 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 23:31:06 UTC 2022 年 3 月 6 日 (日) 8 時 31 分 6 秒 (日本時間)

68×10290+319

c253

composite cofactor 合成数の残り
4175321428404959815639380624148278771851505254585045678376862047081029484203207244645538356683437613010924334520770707757355405052095365515106567530011803816522948245453255526453830235776884383450384432988812111264760671497222429180663119058882913515011<253>

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 14, 2021 18:28:41 UTC 2021 年 5 月 15 日 (土) 3 時 28 分 41 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 05:08:06 UTC 2022 年 3 月 5 日 (土) 14 時 8 分 6 秒 (日本時間)

68×10291+319

c285

name 名前Marlon Trifunovic
date 日付February 21, 2022 18:01:38 UTC 2022 年 2 月 22 日 (火) 3 時 1 分 38 秒 (日本時間)
composite number 合成数
161185264273421522010678651758176981197357292688496797674280577365521812534554535473277257406559486003706317670418388803807958253623368296384562611210573085839712637204185840039037364339518621108988609328929495913257846623701928548264792867110218647265801443605093514084402762598807367<285>
prime factors 素因数
9922561393461999746843319054763543<34>
16244320179225788560483489490037047331567863535468098135538465777631756959566699098327914547005874183820926723267565490190798609404013276450595798923459391738578471373759816364936014055657948074818825950377418464013800889005748285460498549294121420369<251>
factorization results 素因数分解の結果
Run 115 out of 587:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1877172252
Step 1 took 31330ms
Step 2 took 11236ms
********** Factor found in step 2: 9922561393461999746843319054763543
Found prime factor of 34 digits: 9922561393461999746843319054763543
Prime cofactor 16244320179225788560483489490037047331567863535468098135538465777631756959566699098327914547005874183820926723267565490190798609404013276450595798923459391738578471373759816364936014055657948074818825950377418464013800889005748285460498549294121420369 has 251 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 14, 2021 18:28:30 UTC 2021 年 5 月 15 日 (土) 3 時 28 分 30 秒 (日本時間)

68×10293+319

c238

composite cofactor 合成数の残り
1727421537724477135365322362318150405870453431486541730113184686350751969300221720311854729766107460113085262164026541137284019783564845964750422769533595557466456587407795720773934809819123610870806408772629047256910919479230203536908299<238>

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 14, 2021 18:28:16 UTC 2021 年 5 月 15 日 (土) 3 時 28 分 16 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 22, 2022 09:56:51 UTC 2022 年 2 月 22 日 (火) 18 時 56 分 51 秒 (日本時間)

68×10294+319

c242

composite cofactor 合成数の残り
11220201492005010105772563076231572669636642378606896596596813029835995618439180447523589333126659371484455574955623632172036132001540006172222066643591636662671446234538715314254608300037302651152860737489904364510293525574816194680767189957<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 14, 2021 18:28:05 UTC 2021 年 5 月 15 日 (土) 3 時 28 分 5 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 21, 2022 18:33:45 UTC 2022 年 2 月 22 日 (火) 3 時 33 分 45 秒 (日本時間)

68×10295+319

c272

composite cofactor 合成数の残り
85700068082979527668836927557778879714117246092704292187887983172659245429961157035292209369225874731140938131350756231136777520883985186019386111167242171328595431503217922582990356684563241396709731460429047252843415750612938823804383940196152577819559976748601477760261<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--
351e61200Eric JeancolasMay 14, 2021 18:27:52 UTC 2021 年 5 月 15 日 (土) 3 時 27 分 52 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 8, 2022 20:12:42 UTC 2022 年 3 月 9 日 (水) 5 時 12 分 42 秒 (日本時間)

68×10296+319

c269

composite cofactor 合成数の残り
21667728032406432115030872826899036043778755873631336255341408020040048745243061526079218851736563693057269337310551157013311820857091387992431857461485750349519087834044143918320507731823886313916927624720787398366632084837360796276406799296889033443514900276141846269<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 14, 2021 18:27:34 UTC 2021 年 5 月 15 日 (土) 3 時 27 分 34 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 6, 2022 11:03:28 UTC 2022 年 3 月 6 日 (日) 20 時 3 分 28 秒 (日本時間)

68×10298+319

c217

name 名前Marlon Trifunovic
date 日付February 28, 2022 23:29:42 UTC 2022 年 3 月 1 日 (火) 8 時 29 分 42 秒 (日本時間)
composite number 合成数
8173010620834638254319204020279499155560322205222975901481758284329847990808404385932145431242485321465669324304346972756911735789834632320161180860562080761107752245555181806586497789842496924067743489080380301762189<217>
prime factors 素因数
312500217561701515335606685298852731<36>
26153615778590363794786625099573026115128574457468893615948761609948887370880213048618142895978373691077114046206311672449354644389464270418611180633162405193027064457467918596711319<182>
factorization results 素因数分解の結果
Run 281 out of 587:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:417875525
Step 1 took 20567ms
Step 2 took 8172ms
********** Factor found in step 2: 312500217561701515335606685298852731
Found prime factor of 36 digits: 312500217561701515335606685298852731
Prime cofactor 26153615778590363794786625099573026115128574457468893615948761609948887370880213048618142895978373691077114046206311672449354644389464270418611180633162405193027064457467918596711319 has 182 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 14, 2021 18:27:22 UTC 2021 年 5 月 15 日 (土) 3 時 27 分 22 秒 (日本時間)

68×10300+319

c261

composite cofactor 合成数の残り
162881084509146482066830067888960015964131025484133294357306604416010765253542252289650097362942850734113341573096055401006338732597194422681289033590561390805892304555695654070901963725046696583824805398695223574843657264094552566525456789256769329124616795997<261>

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 21:17:52 UTC 2021 年 1 月 22 日 (金) 6 時 17 分 52 秒 (日本時間)
4511e62000Dmitry DomanovMarch 19, 2021 13:51:54 UTC 2021 年 3 月 19 日 (金) 22 時 51 分 54 秒 (日本時間)
5043e6640 / 7059Dmitry DomanovMay 15, 2021 11:27:49 UTC 2021 年 5 月 15 日 (土) 20 時 27 分 49 秒 (日本時間)