Table of contents 目次

10103-71

c102

name 名前KTakahashi
date 日付November 17, 2014 22:26:56 UTC 2014 年 11 月 18 日 (火) 7 時 26 分 56 秒 (日本時間)
composite number 合成数
322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645159<102>
prime factors 素因数
6606114794663912274804729690156863561<37>
48830614542431924654754382306558425076026708356859112727684737519<65>
factorization results 素因数分解の結果
Number: 99929_103
N=322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645159
  ( 102 digits)
SNFS difficulty: 103 digits.
Divisors found:
 r1=6606114794663912274804729690156863561 (pp37)
 r2=48830614542431924654754382306558425076026708356859112727684737519 (pp65)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 0.40 hours.
Scaled time: 0.84 units (timescale=2.075).
Factorization parameters were as follows:
n: 322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645159
m: 50000000000000000000000000
deg: 4
c4: 8
c0: -355
skew: 2.58
# Murphy_E = 2.134e-07
type: snfs
lss: 1
rlim: 370000
alim: 370000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2Factor base limits: 370000/370000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [185000, 285001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 39819 x 40055
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,103.000,4,0,0,0,0,0,0,0,0,370000,370000,25,25,43,43,2.2,2.2,10000
total time: 0.40 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 KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)

10104-71

c99

name 名前KTakahashi
date 日付November 17, 2014 22:30:15 UTC 2014 年 11 月 18 日 (火) 7 時 30 分 15 秒 (日本時間)
composite number 合成数
457211830813334125833840076445818111989465839418060781740788324638688350699762707059807879588692237<99>
prime factors 素因数
1554011753529530398471587634598347<34>
294213882086089301035627695079539424140702748637413609025086356871<66>
factorization results 素因数分解の結果
Number: 99929_104
N=457211830813334125833840076445818111989465839418060781740788324638688350699762707059807879588692237
  ( 99 digits)
SNFS difficulty: 104 digits.
Divisors found:
 r1=1554011753529530398471587634598347 (pp34)
 r2=294213882086089301035627695079539424140702748637413609025086356871 (pp66)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 0.39 hours.
Scaled time: 0.82 units (timescale=2.082).
Factorization parameters were as follows:
n: 457211830813334125833840076445818111989465839418060781740788324638688350699762707059807879588692237
m: 100000000000000000000000000
deg: 4
c4: 1
c0: -71
skew: 2.90
# Murphy_E = 2.835e-07
type: snfs
lss: 1
rlim: 380000
alim: 380000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2Factor base limits: 380000/380000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [190000, 280001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 32961 x 33186
Total sieving time: 0.38 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,104.000,4,0,0,0,0,0,0,0,0,380000,380000,25,25,44,44,2.2,2.2,10000
total time: 0.39 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 KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)

10122-71

c108

name 名前Dmitry Domanov
date 日付November 18, 2014 08:18:13 UTC 2014 年 11 月 18 日 (火) 17 時 18 分 13 秒 (日本時間)
composite number 合成数
974812174095758534167092384866828666740606245255843565575443835919427624534547287183146743547925482569886837<108>
prime factors 素因数
238643738145676242013777655221716361864183120794163<51>
4084800974332291421164995043402276699758359337685359586999<58>
factorization results 素因数分解の結果
N=974812174095758534167092384866828666740606245255843565575443835919427624534547287183146743547925482569886837
  ( 108 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=238643738145676242013777655221716361864183120794163 (pp51)
 r2=4084800974332291421164995043402276699758359337685359586999 (pp58)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 1.38 hours.
Scaled time: 2.84 units (timescale=2.061).
Factorization parameters were as follows:
n: 974812174095758534167092384866828666740606245255843565575443835919427624534547287183146743547925482569886837
m: 1000000000000000000000000
deg: 5
c5: 100
c0: -71
skew: 0.93
# Murphy_E = 1.252e-08
type: snfs
lss: 1
rlim: 760000
alim: 760000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 760000/760000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [380000, 780001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 82689 x 82921
Total sieving time: 1.33 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,122.000,5,0,0,0,0,0,0,0,0,760000,760000,25,25,46,46,2.2,2.2,50000
total time: 1.38 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:26 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 26 秒 (日本時間)

10124-71

c95

name 名前Dmitry Domanov
date 日付November 18, 2014 08:56:42 UTC 2014 年 11 月 18 日 (火) 17 時 56 分 42 秒 (日本時間)
composite number 合成数
32383124528643281021018114473323847538328242710035009796515532262551040155605973321245568933267<95>
prime factors 素因数
32184840029192569971808631690947072076734900819<47>
1006160804256627074730378664032305895623035180993<49>
factorization results 素因数分解の結果
N=32383124528643281021018114473323847538328242710035009796515532262551040155605973321245568933267
  ( 95 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=32184840029192569971808631690947072076734900819 (pp47)
 r2=1006160804256627074730378664032305895623035180993 (pp49)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 1.46 hours.
Scaled time: 3.07 units (timescale=2.106).
Factorization parameters were as follows:
n: 32383124528643281021018114473323847538328242710035009796515532262551040155605973321245568933267
m: 10000000000000000000000000
deg: 5
c5: 1
c0: -710
skew: 3.72
# Murphy_E = 1.054e-08
type: snfs
lss: 1
rlim: 850000
alim: 850000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3

Factor base limits: 850000/850000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [425000, 725001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 117333 x 117562
Total sieving time: 1.35 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,125.000,5,0,0,0,0,0,0,0,0,850000,850000,26,26,46,46,2.3,2.3,50000
total time: 1.46 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
351e6904118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
786KTakahashiNovember 17, 2014 13:17:10 UTC 2014 年 11 月 17 日 (月) 22 時 17 分 10 秒 (日本時間)

10128-71

c97

name 名前Dmitry Domanov
date 日付November 18, 2014 09:53:59 UTC 2014 年 11 月 18 日 (火) 18 時 53 分 59 秒 (日本時間)
composite number 合成数
1398319701885827988057734112224952685635025721893889281065742984214630764509509563250157774701189<97>
prime factors 素因数
811370515702496752918815672261566326258937510111<48>
1723404628124971774251227762143226627777085398299<49>
factorization results 素因数分解の結果
N=1398319701885827988057734112224952685635025721893889281065742984214630764509509563250157774701189
  ( 97 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=811370515702496752918815672261566326258937510111 (pp48)
 r2=1723404628124971774251227762143226627777085398299 (pp49)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 1.65 hours.
Scaled time: 2.99 units (timescale=1.814).
Factorization parameters were as follows:
n: 1398319701885827988057734112224952685635025721893889281065742984214630764509509563250157774701189
m: 10000000000000000000000000
deg: 5
c5: 1000
c0: -71
skew: 0.59
# Murphy_E = 7.949e-09
type: snfs
lss: 1
rlim: 950000
alim: 950000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3

Factor base limits: 950000/950000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [475000, 875001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 115671 x 115896
Total sieving time: 1.57 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,128.000,5,0,0,0,0,0,0,0,0,950000,950000,26,26,47,47,2.3,2.3,50000
total time: 1.65 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
786KTakahashiNovember 17, 2014 19:54:12 UTC 2014 年 11 月 18 日 (火) 4 時 54 分 12 秒 (日本時間)

10130-71

c123

name 名前Serge Batalov
date 日付November 18, 2014 06:34:17 UTC 2014 年 11 月 18 日 (火) 15 時 34 分 17 秒 (日本時間)
composite number 合成数
126281260720884406263333327987426629482560134852222448532272685238287624589249678800456324912490559055096930780682245371233<123>
prime factors 素因数
703180142081627347952353389314837<33>
179585931347625119592574166197592456730530124431192040118884578636974879665065461373742109<90>
factorization results 素因数分解の結果
Input number is 126281260720884406263333327987426629482560134852222448532272685238287624589249678800456324912490559055096930780682245371233 (123 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3656082386
Step 1 took 2657ms
********** Factor found in step 1: 703180142081627347952353389314837
Found probable prime factor of 33 digits: 703180142081627347952353389314837
Probable prime cofactor 179585931347625119592574166197592456730530124431192040118884578636974879665065461373742109 has 90 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:27 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 27 秒 (日本時間)

10131-71

c113

name 名前Serge Batalov
date 日付November 18, 2014 06:37:37 UTC 2014 年 11 月 18 日 (火) 15 時 37 分 37 秒 (日本時間)
composite number 合成数
11501602112070314143888843119732759047601533907033297743714685650397398722556048483258051639878617498826093351987<113>
prime factors 素因数
17955066894038872216860485878213367<35>
640576956908407578194794409369609384267630036550051015969402698457061092029861<78>
factorization results 素因数分解の結果
Input number is 11501602112070314143888843119732759047601533907033297743714685650397398722556048483258051639878617498826093351987 (113 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3502019776
Step 1 took 2084ms
Step 2 took 1793ms
********** Factor found in step 2: 17955066894038872216860485878213367
Found probable prime factor of 35 digits: 17955066894038872216860485878213367
Probable prime cofactor 640576956908407578194794409369609384267630036550051015969402698457061092029861 has 78 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:28 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 28 秒 (日本時間)

10132-71

c132

name 名前Serge Batalov
date 日付November 18, 2014 06:35:55 UTC 2014 年 11 月 18 日 (火) 15 時 35 分 55 秒 (日本時間)
composite number 合成数
142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142847<132>
prime factors 素因数
6676807554767503829570709034389119437<37>
composite cofactor 合成数の残り
21396025223931641544793597422583886860535081646469716150507196282307955524547942129968881231931<95>
factorization results 素因数分解の結果
Input number is 142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142847 (132 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=220346440
Step 1 took 2526ms
Step 2 took 2060ms
********** Factor found in step 2: 6676807554767503829570709034389119437
Found probable prime factor of 37 digits: 6676807554767503829570709034389119437
Composite cofactor 21396025223931641544793597422583886860535081646469716150507196282307955524547942129968881231931 has 95 digits

c95

name 名前Dmitry Domanov
date 日付November 18, 2014 13:48:35 UTC 2014 年 11 月 18 日 (火) 22 時 48 分 35 秒 (日本時間)
composite number 合成数
21396025223931641544793597422583886860535081646469716150507196282307955524547942129968881231931<95>
prime factors 素因数
1953400050784427891975259222442328292454530149<46>
10953222416135204037989301664762092931234690725919<50>
factorization results 素因数分解の結果
N=21396025223931641544793597422583886860535081646469716150507196282307955524547942129968881231931
  ( 95 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=1953400050784427891975259222442328292454530149 (pp46)
 r2=10953222416135204037989301664762092931234690725919 (pp50)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 2.61 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 21396025223931641544793597422583886860535081646469716150507196282307955524547942129968881231931
m: 100000000000000000000000000
deg: 5
c5: 100
c0: -71
skew: 0.93
# Murphy_E = 5.514e-09
type: snfs
lss: 1
rlim: 1110000
alim: 1110000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1110000/1110000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [555000, 1055001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 169018 x 169243
Total sieving time: 2.43 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,132.000,5,0,0,0,0,0,0,0,0,1110000,1110000,26,26,47,47,2.3,2.3,50000
total time: 2.61 hours.
 --------- CPU info (if available) ----------
[    0.074811] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49295964k/51380224k available (5351k kernel code, 1057796k absent, 1026464k reserved, 7000k data, 1344k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.38 BogoMIPS (lpj=2400194)
[    0.709831] Total of 16 processors activated (76642.81 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:28 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 28 秒 (日本時間)

10137-71

c136

name 名前Dmitry Domanov
date 日付November 18, 2014 22:21:25 UTC 2014 年 11 月 19 日 (水) 7 時 21 分 25 秒 (日本時間)
composite number 合成数
5263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157891<136>
prime factors 素因数
17836278669990650928281144913734174148887212489763<50>
295081613834170984301727612582958199314789182565891797836618962125112142049677991437857<87>
factorization results 素因数分解の結果
N=5263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157891
  ( 136 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=17836278669990650928281144913734174148887212489763 (pp50)
 r2=295081613834170984301727612582958199314789182565891797836618962125112142049677991437857 (pp87)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 3.05 hours.
Scaled time: 6.56 units (timescale=2.148).
Factorization parameters were as follows:
n: 5263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157891
m: 1000000000000000000000000000
deg: 5
c5: 100
c0: -71
skew: 0.93
# Murphy_E = 3.628e-09
type: snfs
lss: 1
rlim: 1340000
alim: 1340000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1340000/1340000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [670000, 1420001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 206233 x 206458
Total sieving time: 2.96 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,137.000,5,0,0,0,0,0,0,0,0,1340000,1340000,26,26,48,48,2.3,2.3,75000
total time: 3.05 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:28 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 28 秒 (日本時間)

10140-71

c130

name 名前Serge Batalov
date 日付November 18, 2014 06:23:40 UTC 2014 年 11 月 18 日 (火) 15 時 23 分 40 秒 (日本時間)
composite number 合成数
1575790911954306978003958027774143657698530213704050761362730611017671289455698725637588588233239551401517947778209726456486012791<130>
prime factors 素因数
18290713086195659980621715627623<32>
86152513820993976025633791336555505735399323647004202870184602870241977845797126910865807498978417<98>
factorization results 素因数分解の結果
Input number is 1575790911954306978003958027774143657698530213704050761362730611017671289455698725637588588233239551401517947778209726456486012791 (130 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3245289232
Step 1 took 2516ms
Step 2 took 2028ms
********** Factor found in step 2: 18290713086195659980621715627623
Found probable prime factor of 32 digits: 18290713086195659980621715627623
Probable prime cofactor 86152513820993976025633791336555505735399323647004202870184602870241977845797126910865807498978417 has 98 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:29 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 29 秒 (日本時間)

10143-71

c141

name 名前Dmitry Domanov
date 日付November 19, 2014 22:12:07 UTC 2014 年 11 月 20 日 (木) 7 時 12 分 7 秒 (日本時間)
composite number 合成数
671140939597315436241610738255033557046979865771812080536912751677852348993288590604026845637583892617449664429530201342281879194630872483221<141>
prime factors 素因数
21462376417106995861417017717690745316391250470816824876176867411769<68>
31270579108023180921221040779675978286001732687637858807316163397478331709<74>
factorization results 素因数分解の結果
N=671140939597315436241610738255033557046979865771812080536912751677852348993288590604026845637583892617449664429530201342281879194630872483221
  ( 141 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=21462376417106995861417017717690745316391250470816824876176867411769 (pp68)
 r2=31270579108023180921221040779675978286001732687637858807316163397478331709 (pp74)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 4.54 hours.
Scaled time: 7.48 units (timescale=1.649).
Factorization parameters were as follows:
n: 671140939597315436241610738255033557046979865771812080536912751677852348993288590604026845637583892617449664429530201342281879194630872483221
m: 10000000000000000000000000000
deg: 5
c5: 1000
c0: -71
skew: 0.59
# Murphy_E = 2.26e-09
type: snfs
lss: 1
rlim: 1690000
alim: 1690000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1690000/1690000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [845000, 1845001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 283627 x 283853
Total sieving time: 4.34 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,143.000,5,0,0,0,0,0,0,0,0,1690000,1690000,26,26,48,48,2.3,2.3,100000
total time: 4.54 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:29 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 29 秒 (日本時間)

10146-71

c135

name 名前Dmitry Domanov
date 日付November 20, 2014 11:20:37 UTC 2014 年 11 月 20 日 (木) 20 時 20 分 37 秒 (日本時間)
composite number 合成数
705669650923158353058739903700192820041142696187335841862829789612631084017386716862201453416665530934291742941122885102531672014751207<135>
prime factors 素因数
714124988341396174500855860498325581397684503598654807877<57>
988159863390474660021199997606946001276574364772251789712014469178346912767291<78>
factorization results 素因数分解の結果
N=705669650923158353058739903700192820041142696187335841862829789612631084017386716862201453416665530934291742941122885102531672014751207
  ( 135 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=714124988341396174500855860498325581397684503598654807877 (pp57)
 r2=988159863390474660021199997606946001276574364772251789712014469178346912767291 (pp78)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 5.77 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 705669650923158353058739903700192820041142696187335841862829789612631084017386716862201453416665530934291742941122885102531672014751207
m: 100000000000000000000000000000
deg: 5
c5: 10
c0: -71
skew: 1.48
# Murphy_E = 2.276e-09
type: snfs
lss: 1
rlim: 1900000
alim: 1900000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1900000/1900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [950000, 1950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 285878 x 286103
Total sieving time: 5.63 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1900000,1900000,26,26,49,49,2.3,2.3,100000
total time: 5.77 hours.
 --------- CPU info (if available) ----------
[    0.074811] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49295964k/51380224k available (5351k kernel code, 1057796k absent, 1026464k reserved, 7000k data, 1344k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.38 BogoMIPS (lpj=2400194)
[    0.709831] Total of 16 processors activated (76642.81 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:30 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 30 秒 (日本時間)

10147-71

c114

name 名前Dmitry Domanov
date 日付November 20, 2014 13:11:57 UTC 2014 年 11 月 20 日 (木) 22 時 11 分 57 秒 (日本時間)
composite number 合成数
217196630758784448552132137182069621792672085093711281393958952716029494503534295397644107719592593732522125095623<114>
prime factors 素因数
4526696699908938039080330692883072231306348940381163<52>
47981264298788499915751974216014701022336818565879743542102421<62>
factorization results 素因数分解の結果
N=217196630758784448552132137182069621792672085093711281393958952716029494503534295397644107719592593732522125095623
  ( 114 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=4526696699908938039080330692883072231306348940381163 (pp52)
 r2=47981264298788499915751974216014701022336818565879743542102421 (pp62)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 8.41 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 217196630758784448552132137182069621792672085093711281393958952716029494503534295397644107719592593732522125095623
m: 100000000000000000000000000000
deg: 5
c5: 100
c0: -71
skew: 0.93
# Murphy_E = 1.544e-09
type: snfs
lss: 1
rlim: 1970000
alim: 1970000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3

Factor base limits: 1970000/1970000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [985000, 2485001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 365795 x 366043
Total sieving time: 8.21 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,147.000,5,0,0,0,0,0,0,0,0,1970000,1970000,26,26,49,49,2.3,2.3,100000
total time: 8.41 hours.
 --------- CPU info (if available) ----------
[    0.074811] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49295964k/51380224k available (5351k kernel code, 1057796k absent, 1026464k reserved, 7000k data, 1344k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.38 BogoMIPS (lpj=2400194)
[    0.709831] Total of 16 processors activated (76642.81 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:30 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 30 秒 (日本時間)

10148-71

c138

name 名前Dmitry Domanov
date 日付November 21, 2014 07:55:44 UTC 2014 年 11 月 21 日 (金) 16 時 55 分 44 秒 (日本時間)
composite number 合成数
734763997902754597523791880334509559975397482651327250657517873052139107739951939964205394317664958216514824849086423861284370970219229041<138>
prime factors 素因数
346277507809809147063104716951049809481113538082934189723<57>
2121893514106955323280944244562991578602070009893297439731218565415718514468951267<82>
factorization results 素因数分解の結果
N=734763997902754597523791880334509559975397482651327250657517873052139107739951939964205394317664958216514824849086423861284370970219229041
  ( 138 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=346277507809809147063104716951049809481113538082934189723 (pp57)
 r2=2121893514106955323280944244562991578602070009893297439731218565415718514468951267 (pp82)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 7.60 hours.
Scaled time: 11.55 units (timescale=1.520).
Factorization parameters were as follows:
n: 734763997902754597523791880334509559975397482651327250657517873052139107739951939964205394317664958216514824849086423861284370970219229041
m: 100000000000000000000000000000
deg: 5
c5: 1000
c0: -71
skew: 0.59
# Murphy_E = 1.47e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3

Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 339228 x 339453
Total sieving time: 7.37 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,148.000,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 7.60 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:31 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 31 秒 (日本時間)

10149-71

c120

name 名前Dmitry Domanov
date 日付November 22, 2014 00:06:06 UTC 2014 年 11 月 22 日 (土) 9 時 6 分 6 秒 (日本時間)
composite number 合成数
108016263468668490220595893531381558674678122356846420286592315951212461884980526131007470913680841938456978138995628899<120>
prime factors 素因数
4128889432245022369354782807644629007<37>
26161093737483846733371432896801083117531145385878762246629920440613461440621896557<83>
factorization results 素因数分解の結果
N=108016263468668490220595893531381558674678122356846420286592315951212461884980526131007470913680841938456978138995628899
  ( 120 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=4128889432245022369354782807644629007 (pp37)
 r2=26161093737483846733371432896801083117531145385878762246629920440613461440621896557 (pp83)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 10.72 hours.
Scaled time: 17.60 units (timescale=1.641).
Factorization parameters were as follows:
n: 108016263468668490220595893531381558674678122356846420286592315951212461884980526131007470913680841938456978138995628899
m: 500000000000000000000000000000
deg: 5
c5: 16
c0: -355
skew: 1.86
# Murphy_E = 1.276e-09
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, 3100001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 356713 x 356940
Total sieving time: 10.45 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.04 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: 10.72 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:31 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 31 秒 (日本時間)

10152-71

c150

name 名前Dmitry Domanov
date 日付November 20, 2014 20:20:54 UTC 2014 年 11 月 21 日 (金) 5 時 20 分 54 秒 (日本時間)
composite number 合成数
261096605744125326370757180156657963446475195822454308093994778067885117493472584856396866840731070496083550913838120104438642297650130548302872062663<150>
prime factors 素因数
6987003332667719222578376102208886700017161997737765876629<58>
37368896694720138673771996540896458643612838363916295951509495635717553264961890600308755947<92>
factorization results 素因数分解の結果
N=261096605744125326370757180156657963446475195822454308093994778067885117493472584856396866840731070496083550913838120104438642297650130548302872062663
  ( 150 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=6987003332667719222578376102208886700017161997737765876629 (pp58)
 r2=37368896694720138673771996540896458643612838363916295951509495635717553264961890600308755947 (pp92)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 12.44 hours.
Scaled time: 26.17 units (timescale=2.104).
Factorization parameters were as follows:
n: 261096605744125326370757180156657963446475195822454308093994778067885117493472584856396866840731070496083550913838120104438642297650130548302872062663
m: 1000000000000000000000000000000
deg: 5
c5: 100
c0: -71
skew: 0.93
# Murphy_E = 9.992e-10
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 120000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1200000, 2040001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 459939 x 460164
Total sieving time: 12.04 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,152.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 12.44 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:31 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 31 秒 (日本時間)

10154-71

c118

name 名前Pierre Jammes
date 日付November 24, 2014 18:25:08 UTC 2014 年 11 月 25 日 (火) 3 時 25 分 8 秒 (日本時間)
composite number 合成数
4392285615980392916647991835763208325710389471697746658012337902946844516730151073167937831843641725588284932485227201<118>
prime factors 素因数
9578168772444266040580704966998041686531961<43>
458572585254156000779046428956435090843928727839186506807240063271078568841<75>
factorization results 素因数分解の結果
Using B1=11000000, B2=144269945836, polynomial Dickson(12), sigma=1840208223
Step 1 took 61236ms
Step 2 took 51248ms
********** Factor found in step 2: 9578168772444266040580704966998041686531961
Found probable prime factor of 43 digits: 9578168772444266040580704966998041686531961
Probable prime cofactor 458572585254156000779046428956435090843928727839186506807240063271078568841 has 75 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Debian GNU/Linux Jessie

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:32 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 32 秒 (日本時間)

10155-71

c100

name 名前KTakahashi
date 日付November 18, 2014 21:17:13 UTC 2014 年 11 月 19 日 (水) 6 時 17 分 13 秒 (日本時間)
composite number 合成数
5933947086812992267217943595847882310556668838236674227845571004095224816371396434116241543734033589<100>
prime factors 素因数
6888314287293870813309629711309921<34>
861451269399641561687770011059939850583778409618278991396411908309<66>
factorization results 素因数分解の結果
Number: 99929_155
N=5933947086812992267217943595847882310556668838236674227845571004095224816371396434116241543734033589
  ( 100 digits)
Divisors found:
 r1=6888314287293870813309629711309921 (pp34)
 r2=861451269399641561687770011059939850583778409618278991396411908309 (pp66)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 6.62 hours.
Scaled time: 13.75 units (timescale=2.075).
Factorization parameters were as follows:
name: 99929_155
n: 5933947086812992267217943595847882310556668838236674227845571004095224816371396434116241543734033589
skew: 1739.99
# norm 1.55e+014
c5: 510840
c4: -724889598
c3: -28110305727947
c2: 465796355494961
c1: 13030619877588569817
c0: -36051111327827931309
# alpha -5.86
Y1: 13167087229
Y0: -6501476607322129490
# Murphy_E 3.38e-009
# M 838095130832220171915222159841360028746973553850519223116791433144915233969878704608229330821291413
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, 1500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 183601 x 183826
Polynomial selection time: 0.38 hours.
Total sieving time: 6.07 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 6.62 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:32 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 32 秒 (日本時間)

10156-71

c132

name 名前Dmitry Domanov
date 日付November 28, 2014 23:51:46 UTC 2014 年 11 月 29 日 (土) 8 時 51 分 46 秒 (日本時間)
composite number 合成数
591576818050715215759187816990546400265305960418511201633532655499190756602386199277201561442154448147601332196843381775373634888639<132>
prime factors 素因数
158662159518452289077060378517960840789253<42>
3728531237985042548995672819416107049422695288426014141469964236470958364720528896316446963<91>
factorization results 素因数分解の結果
N=591576818050715215759187816990546400265305960418511201633532655499190756602386199277201561442154448147601332196843381775373634888639
  ( 132 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=158662159518452289077060378517960840789253 (pp42)
 r2=3728531237985042548995672819416107049422695288426014141469964236470958364720528896316446963 (pp91)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 10.64 hours.
Scaled time: 17.50 units (timescale=1.645).
Factorization parameters were as follows:
n: 591576818050715215759187816990546400265305960418511201633532655499190756602386199277201561442154448147601332196843381775373634888639
m: 10000000000000000000000000000000
deg: 5
c5: 10
c0: -71
skew: 1.48
# Murphy_E = 9.493e-10
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 160000
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, 2200001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 455209 x 455438
Total sieving time: 10.17 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.27 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 10.64 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:33 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 33 秒 (日本時間)

10157-71

c157

name 名前Serge Batalov
date 日付November 19, 2014 04:06:17 UTC 2014 年 11 月 19 日 (水) 13 時 6 分 17 秒 (日本時間)
composite number 合成数
9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999929<157>
prime factors 素因数
543325170937487231399855320328755724756845628292803677573685809183328649426559<78>
18405184473131209004877535927741710566470768175218977953765765955225179450367431<80>
factorization results 素因数分解の結果
Divisors found:
 r1=543325170937487231399855320328755724756845628292803677573685809183328649426559 (pp78)
 r2=18405184473131209004877535927741710566470768175218977953765765955225179450367431 (pp80)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 14.31 hours.
Scaled time: 34.34 units (timescale=2.400).
Factorization parameters were as follows:
n: 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999929
m: 10000000000000000000000000000000
deg: 5
c5: 100
c0: -71
skew: 0.93
# Murphy_E = 6.434e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2950001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 438231 x 438456
Total sieving time: 14.06 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 14.31 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
800Youcef LemsaferNovember 17, 2014 16:49:54 UTC 2014 年 11 月 18 日 (火) 1 時 49 分 54 秒 (日本時間)
403e62400Youcef LemsaferNovember 17, 2014 17:42:16 UTC 2014 年 11 月 18 日 (火) 2 時 42 分 16 秒 (日本時間)

10159-71

c157

name 名前Dmitry Domanov
date 日付November 24, 2014 10:53:26 UTC 2014 年 11 月 24 日 (月) 19 時 53 分 26 秒 (日本時間)
composite number 合成数
5988023952095808383233532934131736526946107784431137724550898203592814371257485029940119760479041916167664670658682634730538922155688622754491017964071856287<157>
prime factors 素因数
292716197474150104223404829225057768270827<42>
8728121313678379251555713670639020100803205887533336769<55>
2343775445530386683463285967465037117683304444889432653094749<61>
factorization results 素因数分解の結果
N=5988023952095808383233532934131736526946107784431137724550898203592814371257485029940119760479041916167664670658682634730538922155688622754491017964071856287
  ( 157 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=292716197474150104223404829225057768270827 (pp42)
 r2=8728121313678379251555713670639020100803205887533336769 (pp55)
 r3=2343775445530386683463285967465037117683304444889432653094749 (pp61)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 24.43 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 5988023952095808383233532934131736526946107784431137724550898203592814371257485029940119760479041916167664670658682634730538922155688622754491017964071856287
m: 50000000000000000000000000000000
deg: 5
c5: 16
c0: -355
skew: 1.86
# Murphy_E = 5.288e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 120000
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, 3040001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 619854 x 620081
Total sieving time: 23.67 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.39 hours.
Time per square root: 0.28 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: 24.43 hours.
 --------- CPU info (if available) ----------
[    0.074811] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49295964k/51380224k available (5351k kernel code, 1057796k absent, 1026464k reserved, 7000k data, 1344k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.38 BogoMIPS (lpj=2400194)
[    0.709831] Total of 16 processors activated (76642.81 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
800Youcef LemsaferNovember 17, 2014 15:47:50 UTC 2014 年 11 月 18 日 (火) 0 時 47 分 50 秒 (日本時間)
403e621002000Serge BatalovNovember 22, 2014 04:47:18 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 18 秒 (日本時間)
80Serge BatalovNovember 22, 2014 04:55:16 UTC 2014 年 11 月 22 日 (土) 13 時 55 分 16 秒 (日本時間)
20Serge BatalovNovember 22, 2014 05:04:26 UTC 2014 年 11 月 22 日 (土) 14 時 4 分 26 秒 (日本時間)

10160-71

c127

name 名前Dmitry Domanov
date 日付December 4, 2014 13:29:59 UTC 2014 年 12 月 4 日 (木) 22 時 29 分 59 秒 (日本時間)
composite number 合成数
5182700928397571188942869092564338748605461727915867124101753412575327630033294721861087613440422815745844963884422949051446941<127>
prime factors 素因数
84245959430622696657719224594740139532497848772689107<53>
61518688414553245088253562583416584998151501374001507281754717265381267663<74>
factorization results 素因数分解の結果
N=5182700928397571188942869092564338748605461727915867124101753412575327630033294721861087613440422815745844963884422949051446941
  ( 127 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=84245959430622696657719224594740139532497848772689107 (pp53)
 r2=61518688414553245088253562583416584998151501374001507281754717265381267663 (pp74)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 20.94 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 5182700928397571188942869092564338748605461727915867124101753412575327630033294721861087613440422815745844963884422949051446941
m: 100000000000000000000000000000000
deg: 5
c5: 1
c0: -71
skew: 2.35
# Murphy_E = 6.573e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
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: 51/51
Sieved rational special-q in [1600000, 2800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 617337 x 617561
Total sieving time: 20.40 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.39 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,160.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,51,51,2.4,2.4,100000
total time: 20.94 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:34 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 34 秒 (日本時間)

10161-71

c107

name 名前Jane Sullivan
date 日付November 19, 2014 20:45:01 UTC 2014 年 11 月 20 日 (木) 5 時 45 分 1 秒 (日本時間)
composite number 合成数
29377558786869257421505241764655444813155472192692169278992330909497159505822662211843834774232167022643309<107>
prime factors 素因数
2148555272810895797097859122374399362267<40>
13673168737444396710545382543060863686195326952588466898570540746327<68>
factorization results 素因数分解の結果
11/19/14 18:07:49 v1.33 @ JANELT3, nfs: commencing gnfs on c107: 29377558786869257421505241764655444813155472192692169278992330909497159505822662211843834774232167022643309
11/19/14 18:07:49 v1.33 @ JANELT3, nfs: continuing with sieving - could not determine last special q; using default startq
11/19/14 18:07:49 v1.33 @ JANELT3, nfs: commencing lattice sieving with 2 threads
11/19/14 18:21:24 v1.33 @ JANELT3, nfs: commencing lattice sieving with 2 threads
11/19/14 18:35:26 v1.33 @ JANELT3, nfs: commencing lattice sieving with 2 threads
11/19/14 18:49:39 v1.33 @ JANELT3, nfs: commencing lattice sieving with 2 threads
11/19/14 19:03:55 v1.33 @ JANELT3, nfs: commencing lattice sieving with 2 threads
11/19/14 19:18:30 v1.33 @ JANELT3, nfs: commencing lattice sieving with 2 threads
11/19/14 19:33:00 v1.33 @ JANELT3, nfs: commencing lattice sieving with 2 threads
11/19/14 19:47:28 v1.33 @ JANELT3, nfs: commencing msieve filtering
11/19/14 19:48:24 v1.33 @ JANELT3, nfs: commencing lattice sieving with 2 threads
11/19/14 20:03:23 v1.33 @ JANELT3, nfs: commencing msieve filtering
11/19/14 20:04:23 v1.33 @ JANELT3, nfs: commencing lattice sieving with 2 threads
11/19/14 20:19:08 v1.33 @ JANELT3, nfs: commencing msieve filtering
11/19/14 20:20:32 v1.33 @ JANELT3, nfs: commencing msieve linear algebra
11/19/14 20:27:19 v1.33 @ JANELT3, nfs: commencing msieve sqrt
11/19/14 20:28:14 v1.33 @ JANELT3, prp40 = 2148555272810895797097859122374399362267
11/19/14 20:28:14 v1.33 @ JANELT3, prp68 = 13673168737444396710545382543060863686195326952588466898570540746327
11/19/14 20:28:14 v1.33 @ JANELT3, NFS elapsed time = 8424.8547 seconds.
11/19/14 20:28:14 v1.33 @ JANELT3, 
11/19/14 20:28:14 v1.33 @ JANELT3, 
software ソフトウェア
yafu-x64 version 1.33
execution environment 実行環境
Intel(R) Core(TM) i7-4710MQ CPU @ 2.50GHz
Windows 7 Pro

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:34 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 34 秒 (日本時間)

10164-71

c160

name 名前Dmitry Domanov
date 日付December 3, 2014 13:11:12 UTC 2014 年 12 月 3 日 (水) 22 時 11 分 12 秒 (日本時間)
composite number 合成数
4132743728561391908087779476794643964127784436087118237798074141422490391370831094763813695912716452452783402901186097450097119477621192709840062817704674133157<160>
prime factors 素因数
83732439577457303610188908765601893246276764810889<50>
49356542690224225412444021608756574022286340361558155300828366818939578955953240539479106530534014804313124413<110>
factorization results 素因数分解の結果
N=4132743728561391908087779476794643964127784436087118237798074141422490391370831094763813695912716452452783402901186097450097119477621192709840062817704674133157
  ( 160 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=83732439577457303610188908765601893246276764810889 (pp50)
 r2=49356542690224225412444021608756574022286340361558155300828366818939578955953240539479106530534014804313124413 (pp110)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 36.48 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 4132743728561391908087779476794643964127784436087118237798074141422490391370831094763813695912716452452783402901186097450097119477621192709840062817704674133157
m: 500000000000000000000000000000000
deg: 5
c5: 16
c0: -355
skew: 1.86
# Murphy_E = 3.379e-10
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, 4050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 747843 x 748070
Total sieving time: 35.65 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.59 hours.
Time per square root: 0.13 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: 36.48 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:35 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 35 秒 (日本時間)

10165-71

c127

name 名前Kai Inouye
date 日付February 18, 2015 03:50:41 UTC 2015 年 2 月 18 日 (水) 12 時 50 分 41 秒 (日本時間)
composite number 合成数
1870495330078483649546416822880014914270475884523410024795485654761555937141180976704804981617598301973656512152496342594618479<127>
prime factors 素因数
4218792220093280828075781446489261850403073570923602271321621<61>
443372233685669762717635965128729477384187172192518337447132618099<66>
factorization results 素因数分解の結果
-> makeJobFile(): Adjusted to q0=1950000, q1=2050000.
->               client 1 q0: 1950000
-> makeJobFile(): Adjusted to q0=1950000, q1=2050000.
->               client 1 q0: 1950000
-> makeJobFile(): Adjusted to q0=1950000, q1=2050000.
Number: 99929_165
N = 1870495330078483649546416822880014914270475884523410024795485654761555937141180976704804981617598301973656512152496342594618479
factor: 4218792220093280828075781446489261850403073570923602271321621
factor: 443372233685669762717635965128729477384187172192518337447132618099

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:35 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 35 秒 (日本時間)
403e620732018Kai InouyeFebruary 15, 2015 17:41:36 UTC 2015 年 2 月 16 日 (月) 2 時 41 分 36 秒 (日本時間)
55Kai InouyeFebruary 15, 2015 18:00:58 UTC 2015 年 2 月 16 日 (月) 3 時 0 分 58 秒 (日本時間)
4511e63975Kai InouyeFebruary 16, 2015 17:56:56 UTC 2015 年 2 月 17 日 (火) 2 時 56 分 56 秒 (日本時間)

10168-71

c155

name 名前Cyp
date 日付March 21, 2015 22:27:55 UTC 2015 年 3 月 22 日 (日) 7 時 27 分 55 秒 (日本時間)
composite number 合成数
19973296697946535542755951543061585012588088055662355162133100895835779652352166273294718655630818402292958346766082431553237620907053649512339310743557553<155>
prime factors 素因数
41944094597705135147089244019290705980968788148077<50>
476188528790875935627834826039324444279244355025145881974839306473621724892260341000711361642025911423189<105>
factorization results 素因数分解の結果
03/16/15 08:38:19 v1.34.3, 
03/16/15 08:38:19 v1.34.3, ****************************
03/16/15 08:38:19 v1.34.3, Starting factorization of 19973296697946535542755951543061585012588088055662355162133100895835779652352166273294718655630818402292958346766082431553237620907053649512339310743557553
03/16/15 08:38:19 v1.34.3, using pretesting plan: none
03/16/15 08:38:19 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
03/16/15 08:38:19 v1.34.3, ****************************
03/16/15 08:38:19 v1.34.3, nfs: commencing nfs on c155: 19973296697946535542755951543061585012588088055662355162133100895835779652352166273294718655630818402292958346766082431553237620907053649512339310743557553
03/16/15 08:38:19 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
03/16/15 08:38:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/16/15 08:42:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
[54 lines snipped]
03/16/15 13:04:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/16/15 13:08:53 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/16/15 13:13:43 v1.34.3, nfs: commencing msieve filtering
03/21/15 20:46:05 v1.34.3, 
03/21/15 20:46:05 v1.34.3, ****************************
03/21/15 20:46:05 v1.34.3, Starting factorization of 19973296697946535542755951543061585012588088055662355162133100895835779652352166273294718655630818402292958346766082431553237620907053649512339310743557553
03/21/15 20:46:05 v1.34.3, using pretesting plan: none
03/21/15 20:46:05 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
03/21/15 20:46:05 v1.34.3, ****************************
03/21/15 20:46:05 v1.34.3, nfs: commencing nfs on c155: 19973296697946535542755951543061585012588088055662355162133100895835779652352166273294718655630818402292958346766082431553237620907053649512339310743557553
03/21/15 20:46:05 v1.34.3, nfs: resuming with sieving at user specified special-q 4524973
03/21/15 20:46:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/21/15 20:52:11 v1.34.3, c155 cofactor = 19973296697946535542755951543061585012588088055662355162133100895835779652352166273294718655630818402292958346766082431553237620907053649512339310743557553
03/21/15 20:52:11 v1.34.3, Total factoring time = 365.8280 seconds
03/21/15 22:49:34 v1.34.3, 
03/21/15 22:49:34 v1.34.3, ****************************
03/21/15 22:49:34 v1.34.3, Starting factorization of 19973296697946535542755951543061585012588088055662355162133100895835779652352166273294718655630818402292958346766082431553237620907053649512339310743557553
03/21/15 22:49:34 v1.34.3, using pretesting plan: none
03/21/15 22:49:34 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
03/21/15 22:49:34 v1.34.3, ****************************
03/21/15 22:49:34 v1.34.3, nfs: previous data file found - commencing search for last special-q
03/21/15 22:49:42 v1.34.3, nfs: parsing special-q from .dat file
03/21/15 22:49:42 v1.34.3, nfs: commencing nfs on c155: 19973296697946535542755951543061585012588088055662355162133100895835779652352166273294718655630818402292958346766082431553237620907053649512339310743557553
03/21/15 22:49:42 v1.34.3, nfs: resuming with filtering
03/21/15 22:49:42 v1.34.3, nfs: commencing msieve filtering
03/21/15 22:51:56 v1.34.3, nfs: commencing msieve linear algebra
03/21/15 23:20:26 v1.34.3, nfs: commencing msieve sqrt
03/21/15 23:27:54 v1.34.3, prp50 = 41944094597705135147089244019290705980968788148077
03/21/15 23:27:55 v1.34.3, prp105 = 476188528790875935627834826039324444279244355025145881974839306473621724892260341000711361642025911423189
03/21/15 23:27:55 v1.34.3, NFS elapsed time = 2300.8083 seconds.
03/21/15 23:27:55 v1.34.3, 
03/21/15 23:27:55 v1.34.3, 
03/21/15 23:27:55 v1.34.3, Total factoring time = 2300.8093 seconds
--
Mon Mar 16 13:13:43 2015  
Mon Mar 16 13:13:43 2015  commencing relation filtering
Mon Mar 16 13:13:43 2015  estimated available RAM is 15987.3 MB
Mon Mar 16 13:13:43 2015  commencing duplicate removal, pass 1
Mon Mar 16 13:14:14 2015  found 1320251 hash collisions in 10075004 relations
Mon Mar 16 13:14:23 2015  added 370663 free relations
Mon Mar 16 13:14:23 2015  commencing duplicate removal, pass 2
Mon Mar 16 13:14:31 2015  found 865402 duplicates and 9580265 unique relations
Mon Mar 16 13:14:31 2015  memory use: 41.3 MB
Mon Mar 16 13:14:31 2015  reading ideals above 100000
Mon Mar 16 13:14:31 2015  commencing singleton removal, initial pass
Mon Mar 16 13:15:14 2015  memory use: 344.5 MB
Mon Mar 16 13:15:14 2015  reading all ideals from disk
Mon Mar 16 13:15:14 2015  memory use: 345.4 MB
Mon Mar 16 13:15:14 2015  keeping 10810401 ideals with weight <= 200, target excess is 49544
Mon Mar 16 13:15:15 2015  commencing in-memory singleton removal
Mon Mar 16 13:15:15 2015  begin with 9580265 relations and 10810401 unique ideals
Mon Mar 16 13:15:20 2015  reduce to 3570088 relations and 3506932 ideals in 22 passes
Mon Mar 16 13:15:20 2015  max relations containing the same ideal: 106
Mon Mar 16 13:15:21 2015  relations with 0 large ideals: 1147
Mon Mar 16 13:15:21 2015  relations with 1 large ideals: 251
Mon Mar 16 13:15:21 2015  relations with 2 large ideals: 4620
Mon Mar 16 13:15:21 2015  relations with 3 large ideals: 42647
Mon Mar 16 13:15:21 2015  relations with 4 large ideals: 211227
Mon Mar 16 13:15:21 2015  relations with 5 large ideals: 600340
Mon Mar 16 13:15:21 2015  relations with 6 large ideals: 1038678
Mon Mar 16 13:15:21 2015  relations with 7+ large ideals: 1671178
Mon Mar 16 13:15:21 2015  commencing 2-way merge
Mon Mar 16 13:15:22 2015  reduce to 2002651 relation sets and 1940011 unique ideals
Mon Mar 16 13:15:22 2015  ignored 516 oversize relation sets
Mon Mar 16 13:15:22 2015  commencing full merge
Mon Mar 16 13:16:07 2015  memory use: 92.7 MB
Mon Mar 16 13:16:07 2015  found 57984 cycles, need 428191
Mon Mar 16 13:16:07 2015  too few cycles, matrix probably cannot build
Sat Mar 21 22:49:42 2015  
Sat Mar 21 22:49:42 2015  commencing relation filtering
Sat Mar 21 22:49:42 2015  estimated available RAM is 15987.3 MB
Sat Mar 21 22:49:42 2015  commencing duplicate removal, pass 1
Sat Mar 21 22:50:16 2015  found 1407984 hash collisions in 10653014 relations
Sat Mar 21 22:50:24 2015  added 465 free relations
Sat Mar 21 22:50:24 2015  commencing duplicate removal, pass 2
Sat Mar 21 22:50:32 2015  found 896591 duplicates and 9756888 unique relations
Sat Mar 21 22:50:32 2015  memory use: 41.3 MB
Sat Mar 21 22:50:32 2015  reading ideals above 100000
Sat Mar 21 22:50:32 2015  commencing singleton removal, initial pass
Sat Mar 21 22:51:18 2015  memory use: 344.5 MB
Sat Mar 21 22:51:18 2015  reading all ideals from disk
Sat Mar 21 22:51:18 2015  memory use: 351.8 MB
Sat Mar 21 22:51:18 2015  keeping 10881246 ideals with weight <= 200, target excess is 50523
Sat Mar 21 22:51:19 2015  commencing in-memory singleton removal
Sat Mar 21 22:51:19 2015  begin with 9756888 relations and 10881246 unique ideals
Sat Mar 21 22:51:23 2015  reduce to 3813214 relations and 3683220 ideals in 20 passes
Sat Mar 21 22:51:23 2015  max relations containing the same ideal: 109
Sat Mar 21 22:51:25 2015  removing 385032 relations and 349338 ideals in 35694 cliques
Sat Mar 21 22:51:25 2015  commencing in-memory singleton removal
Sat Mar 21 22:51:25 2015  begin with 3428182 relations and 3683220 unique ideals
Sat Mar 21 22:51:27 2015  reduce to 3392696 relations and 3297889 ideals in 11 passes
Sat Mar 21 22:51:27 2015  max relations containing the same ideal: 100
Sat Mar 21 22:51:28 2015  removing 284122 relations and 248428 ideals in 35694 cliques
Sat Mar 21 22:51:28 2015  commencing in-memory singleton removal
Sat Mar 21 22:51:28 2015  begin with 3108574 relations and 3297889 unique ideals
Sat Mar 21 22:51:29 2015  reduce to 3087104 relations and 3027729 ideals in 9 passes
Sat Mar 21 22:51:29 2015  max relations containing the same ideal: 98
Sat Mar 21 22:51:30 2015  relations with 0 large ideals: 1169
Sat Mar 21 22:51:30 2015  relations with 1 large ideals: 277
Sat Mar 21 22:51:30 2015  relations with 2 large ideals: 4876
Sat Mar 21 22:51:30 2015  relations with 3 large ideals: 42888
Sat Mar 21 22:51:30 2015  relations with 4 large ideals: 202815
Sat Mar 21 22:51:30 2015  relations with 5 large ideals: 547957
Sat Mar 21 22:51:30 2015  relations with 6 large ideals: 900197
Sat Mar 21 22:51:30 2015  relations with 7+ large ideals: 1386925
Sat Mar 21 22:51:30 2015  commencing 2-way merge
Sat Mar 21 22:51:32 2015  reduce to 1778645 relation sets and 1719272 unique ideals
Sat Mar 21 22:51:32 2015  ignored 2 oversize relation sets
Sat Mar 21 22:51:32 2015  commencing full merge
Sat Mar 21 22:51:49 2015  memory use: 205.8 MB
Sat Mar 21 22:51:49 2015  found 886222 cycles, need 879472
Sat Mar 21 22:51:50 2015  weight of 879472 cycles is about 61783406 (70.25/cycle)
Sat Mar 21 22:51:50 2015  distribution of cycle lengths:
Sat Mar 21 22:51:50 2015  1 relations: 112528
Sat Mar 21 22:51:50 2015  2 relations: 104684
Sat Mar 21 22:51:50 2015  3 relations: 100642
Sat Mar 21 22:51:50 2015  4 relations: 90146
Sat Mar 21 22:51:50 2015  5 relations: 79064
Sat Mar 21 22:51:50 2015  6 relations: 66448
Sat Mar 21 22:51:50 2015  7 relations: 58236
Sat Mar 21 22:51:50 2015  8 relations: 49087
Sat Mar 21 22:51:50 2015  9 relations: 40585
Sat Mar 21 22:51:50 2015  10+ relations: 178052
Sat Mar 21 22:51:50 2015  heaviest cycle: 25 relations
Sat Mar 21 22:51:50 2015  commencing cycle optimization
Sat Mar 21 22:51:51 2015  start with 5321160 relations
Sat Mar 21 22:51:55 2015  pruned 108186 relations
Sat Mar 21 22:51:55 2015  memory use: 178.6 MB
Sat Mar 21 22:51:55 2015  distribution of cycle lengths:
Sat Mar 21 22:51:55 2015  1 relations: 112528
Sat Mar 21 22:51:55 2015  2 relations: 106734
Sat Mar 21 22:51:55 2015  3 relations: 103666
Sat Mar 21 22:51:55 2015  4 relations: 91890
Sat Mar 21 22:51:55 2015  5 relations: 80419
Sat Mar 21 22:51:55 2015  6 relations: 67028
Sat Mar 21 22:51:55 2015  7 relations: 58457
Sat Mar 21 22:51:55 2015  8 relations: 48822
Sat Mar 21 22:51:55 2015  9 relations: 40193
Sat Mar 21 22:51:55 2015  10+ relations: 169735
Sat Mar 21 22:51:55 2015  heaviest cycle: 25 relations
Sat Mar 21 22:51:56 2015  RelProcTime: 134
Sat Mar 21 22:51:56 2015  
Sat Mar 21 22:51:56 2015  commencing linear algebra
Sat Mar 21 22:51:56 2015  read 879472 cycles
Sat Mar 21 22:51:57 2015  cycles contain 3013545 unique relations
Sat Mar 21 22:52:11 2015  read 3013545 relations
Sat Mar 21 22:52:13 2015  using 20 quadratic characters above 134217222
Sat Mar 21 22:52:22 2015  building initial matrix
Sat Mar 21 22:52:39 2015  memory use: 369.0 MB
Sat Mar 21 22:52:39 2015  read 879472 cycles
Sat Mar 21 22:52:39 2015  matrix is 879295 x 879472 (264.6 MB) with weight 79074960 (89.91/col)
Sat Mar 21 22:52:39 2015  sparse part has weight 59698801 (67.88/col)
Sat Mar 21 22:52:43 2015  filtering completed in 2 passes
Sat Mar 21 22:52:43 2015  matrix is 878006 x 878185 (264.5 MB) with weight 79031827 (89.99/col)
Sat Mar 21 22:52:43 2015  sparse part has weight 59685077 (67.96/col)
Sat Mar 21 22:52:46 2015  matrix starts at (0, 0)
Sat Mar 21 22:52:46 2015  matrix is 878006 x 878185 (264.5 MB) with weight 79031827 (89.99/col)
Sat Mar 21 22:52:46 2015  sparse part has weight 59685077 (67.96/col)
Sat Mar 21 22:52:46 2015  saving the first 48 matrix rows for later
Sat Mar 21 22:52:46 2015  matrix includes 64 packed rows
Sat Mar 21 22:52:46 2015  matrix is 877958 x 878185 (251.1 MB) with weight 62644524 (71.33/col)
Sat Mar 21 22:52:46 2015  sparse part has weight 57052910 (64.97/col)
Sat Mar 21 22:52:46 2015  using block size 65536 for processor cache size 8192 kB
Sat Mar 21 22:52:48 2015  commencing Lanczos iteration (8 threads)
Sat Mar 21 22:52:48 2015  memory use: 244.8 MB
Sat Mar 21 22:52:54 2015  linear algebra at 0.3%, ETA 0h28m
Sat Mar 21 23:20:25 2015  lanczos halted after 13887 iterations (dim = 877956)
Sat Mar 21 23:20:26 2015  recovered 36 nontrivial dependencies
Sat Mar 21 23:20:26 2015  BLanczosTime: 1710
Sat Mar 21 23:20:26 2015  
Sat Mar 21 23:20:26 2015  commencing square root phase
Sat Mar 21 23:20:26 2015  reading relations for dependency 1
Sat Mar 21 23:20:26 2015  read 438635 cycles
Sat Mar 21 23:20:26 2015  cycles contain 1504842 unique relations
Sat Mar 21 23:20:36 2015  read 1504842 relations
Sat Mar 21 23:20:40 2015  multiplying 1504842 relations
Sat Mar 21 23:21:14 2015  multiply complete, coefficients have about 47.09 million bits
Sat Mar 21 23:21:14 2015  initial square root is modulo 5757901
Sat Mar 21 23:21:58 2015  GCD is N, no factor found
Sat Mar 21 23:21:58 2015  reading relations for dependency 2
Sat Mar 21 23:21:58 2015  read 439634 cycles
Sat Mar 21 23:21:58 2015  cycles contain 1507056 unique relations
Sat Mar 21 23:22:08 2015  read 1507056 relations
Sat Mar 21 23:22:12 2015  multiplying 1507056 relations
Sat Mar 21 23:22:43 2015  multiply complete, coefficients have about 47.15 million bits
Sat Mar 21 23:22:43 2015  initial square root is modulo 5889991
Sat Mar 21 23:23:24 2015  GCD is 1, no factor found
Sat Mar 21 23:23:24 2015  reading relations for dependency 3
Sat Mar 21 23:23:24 2015  read 438623 cycles
Sat Mar 21 23:23:25 2015  cycles contain 1505754 unique relations
Sat Mar 21 23:23:35 2015  read 1505754 relations
Sat Mar 21 23:23:38 2015  multiplying 1505754 relations
Sat Mar 21 23:24:12 2015  multiply complete, coefficients have about 47.11 million bits
Sat Mar 21 23:24:12 2015  initial square root is modulo 5812801
Sat Mar 21 23:24:56 2015  GCD is 1, no factor found
Sat Mar 21 23:24:56 2015  reading relations for dependency 4
Sat Mar 21 23:24:56 2015  read 439234 cycles
Sat Mar 21 23:24:56 2015  cycles contain 1507726 unique relations
Sat Mar 21 23:25:06 2015  read 1507726 relations
Sat Mar 21 23:25:10 2015  multiplying 1507726 relations
Sat Mar 21 23:25:42 2015  multiply complete, coefficients have about 47.18 million bits
Sat Mar 21 23:25:42 2015  initial square root is modulo 5933131
Sat Mar 21 23:26:25 2015  GCD is 1, no factor found
Sat Mar 21 23:26:25 2015  reading relations for dependency 5
Sat Mar 21 23:26:25 2015  read 438621 cycles
Sat Mar 21 23:26:26 2015  cycles contain 1504078 unique relations
Sat Mar 21 23:26:36 2015  read 1504078 relations
Sat Mar 21 23:26:39 2015  multiplying 1504078 relations
Sat Mar 21 23:27:13 2015  multiply complete, coefficients have about 47.06 million bits
Sat Mar 21 23:27:13 2015  initial square root is modulo 5712961
Sat Mar 21 23:27:54 2015  sqrtTime: 448
--
n: 19973296697946535542755951543061585012588088055662355162133100895835779652352166273294718655630818402292958346766082431553237620907053649512339310743557553
m: 1000000000000000000000000000000000
deg: 5
c5: 1000
c0: -71
skew: 0.59
# Murphy_E = 2.497e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:35 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 35 秒 (日本時間)
403e62350Ignacio SantosFebruary 19, 2015 21:28:38 UTC 2015 年 2 月 20 日 (金) 6 時 28 分 38 秒 (日本時間)

10169-71

c163

name 名前Cyp
date 日付March 21, 2015 18:12:32 UTC 2015 年 3 月 22 日 (日) 3 時 12 分 32 秒 (日本時間)
composite number 合成数
8497497911739888189922477326551197000043337239349873429768604634365411104700221019920684354491819883635263596633971127201595490207908281406539844342833252748728137<163>
prime factors 素因数
332947135895251678982857125007618753490049371513420798637839638661<66>
25522063401720570679862454677705778063668464078583013588633094616748568055082692276055156191516917<98>
factorization results 素因数分解の結果
03/21/15 12:37:28 v1.34.3, 
03/21/15 12:37:28 v1.34.3, ****************************
03/21/15 12:37:28 v1.34.3, Starting factorization of 8497497911739888189922477326551197000043337239349873429768604634365411104700221019920684354491819883635263596633971127201595490207908281406539844342833252748728137
03/21/15 12:37:28 v1.34.3, using pretesting plan: none
03/21/15 12:37:28 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
03/21/15 12:37:28 v1.34.3, ****************************
03/21/15 12:37:28 v1.34.3, nfs: commencing nfs on c163: 8497497911739888189922477326551197000043337239349873429768604634365411104700221019920684354491819883635263596633971127201595490207908281406539844342833252748728137
03/21/15 12:37:28 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
03/21/15 12:37:28 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/21/15 12:42:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
[66 lines snipped]
03/21/15 18:07:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/21/15 18:11:50 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/21/15 18:16:43 v1.34.3, nfs: commencing msieve filtering
03/21/15 18:18:18 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/21/15 18:23:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/21/15 18:28:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/21/15 18:32:55 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/21/15 18:37:47 v1.34.3, nfs: commencing msieve filtering
03/21/15 18:39:57 v1.34.3, nfs: commencing msieve linear algebra
03/21/15 19:11:02 v1.34.3, nfs: commencing msieve sqrt
03/21/15 19:12:30 v1.34.3, prp66 = 332947135895251678982857125007618753490049371513420798637839638661
03/21/15 19:12:31 v1.34.3, prp98 = 25522063401720570679862454677705778063668464078583013588633094616748568055082692276055156191516917
03/21/15 19:12:31 v1.34.3, NFS elapsed time = 23703.0335 seconds.
03/21/15 19:12:31 v1.34.3, 
03/21/15 19:12:31 v1.34.3, 
03/21/15 19:12:31 v1.34.3, Total factoring time = 23703.0346 seconds
--
Sat Mar 21 18:16:43 2015  
Sat Mar 21 18:16:43 2015  commencing relation filtering
Sat Mar 21 18:16:43 2015  estimated available RAM is 15987.3 MB
Sat Mar 21 18:16:43 2015  commencing duplicate removal, pass 1
Sat Mar 21 18:17:11 2015  found 1396700 hash collisions in 10143114 relations
Sat Mar 21 18:17:21 2015  added 371208 free relations
Sat Mar 21 18:17:21 2015  commencing duplicate removal, pass 2
Sat Mar 21 18:17:29 2015  found 959192 duplicates and 9555130 unique relations
Sat Mar 21 18:17:29 2015  memory use: 41.3 MB
Sat Mar 21 18:17:29 2015  reading ideals above 100000
Sat Mar 21 18:17:29 2015  commencing singleton removal, initial pass
Sat Mar 21 18:18:12 2015  memory use: 344.5 MB
Sat Mar 21 18:18:12 2015  reading all ideals from disk
Sat Mar 21 18:18:12 2015  memory use: 348.5 MB
Sat Mar 21 18:18:13 2015  keeping 10889052 ideals with weight <= 200, target excess is 50057
Sat Mar 21 18:18:13 2015  commencing in-memory singleton removal
Sat Mar 21 18:18:14 2015  begin with 9555130 relations and 10889052 unique ideals
Sat Mar 21 18:18:18 2015  reduce to 3465345 relations and 3495530 ideals in 21 passes
Sat Mar 21 18:18:18 2015  max relations containing the same ideal: 105
Sat Mar 21 18:37:47 2015  
Sat Mar 21 18:37:47 2015  commencing relation filtering
Sat Mar 21 18:37:47 2015  estimated available RAM is 15987.3 MB
Sat Mar 21 18:37:47 2015  commencing duplicate removal, pass 1
Sat Mar 21 18:38:21 2015  found 1564591 hash collisions in 11052717 relations
Sat Mar 21 18:38:29 2015  added 1187 free relations
Sat Mar 21 18:38:29 2015  commencing duplicate removal, pass 2
Sat Mar 21 18:38:38 2015  found 1048397 duplicates and 10005507 unique relations
Sat Mar 21 18:38:38 2015  memory use: 41.3 MB
Sat Mar 21 18:38:38 2015  reading ideals above 720000
Sat Mar 21 18:38:38 2015  commencing singleton removal, initial pass
Sat Mar 21 18:39:20 2015  memory use: 344.5 MB
Sat Mar 21 18:39:20 2015  reading all ideals from disk
Sat Mar 21 18:39:20 2015  memory use: 293.5 MB
Sat Mar 21 18:39:21 2015  commencing in-memory singleton removal
Sat Mar 21 18:39:21 2015  begin with 10005507 relations and 11001888 unique ideals
Sat Mar 21 18:39:25 2015  reduce to 4095896 relations and 3889690 ideals in 19 passes
Sat Mar 21 18:39:25 2015  max relations containing the same ideal: 67
Sat Mar 21 18:39:26 2015  removing 382212 relations and 346480 ideals in 35732 cliques
Sat Mar 21 18:39:26 2015  commencing in-memory singleton removal
Sat Mar 21 18:39:26 2015  begin with 3713684 relations and 3889690 unique ideals
Sat Mar 21 18:39:27 2015  reduce to 3681258 relations and 3510367 ideals in 8 passes
Sat Mar 21 18:39:27 2015  max relations containing the same ideal: 63
Sat Mar 21 18:39:28 2015  removing 281158 relations and 245426 ideals in 35732 cliques
Sat Mar 21 18:39:28 2015  commencing in-memory singleton removal
Sat Mar 21 18:39:28 2015  begin with 3400100 relations and 3510367 unique ideals
Sat Mar 21 18:39:29 2015  reduce to 3380813 relations and 3245449 ideals in 9 passes
Sat Mar 21 18:39:29 2015  max relations containing the same ideal: 62
Sat Mar 21 18:39:31 2015  relations with 0 large ideals: 2914
Sat Mar 21 18:39:31 2015  relations with 1 large ideals: 2265
Sat Mar 21 18:39:31 2015  relations with 2 large ideals: 31453
Sat Mar 21 18:39:31 2015  relations with 3 large ideals: 182051
Sat Mar 21 18:39:31 2015  relations with 4 large ideals: 553283
Sat Mar 21 18:39:31 2015  relations with 5 large ideals: 945895
Sat Mar 21 18:39:31 2015  relations with 6 large ideals: 958721
Sat Mar 21 18:39:31 2015  relations with 7+ large ideals: 704231
Sat Mar 21 18:39:31 2015  commencing 2-way merge
Sat Mar 21 18:39:32 2015  reduce to 1970583 relation sets and 1835219 unique ideals
Sat Mar 21 18:39:32 2015  ignored 1 oversize relation sets
Sat Mar 21 18:39:32 2015  commencing full merge
Sat Mar 21 18:39:49 2015  memory use: 210.5 MB
Sat Mar 21 18:39:49 2015  found 974122 cycles, need 957419
Sat Mar 21 18:39:50 2015  weight of 957419 cycles is about 67288278 (70.28/cycle)
Sat Mar 21 18:39:50 2015  distribution of cycle lengths:
Sat Mar 21 18:39:50 2015  1 relations: 125551
Sat Mar 21 18:39:50 2015  2 relations: 112781
Sat Mar 21 18:39:50 2015  3 relations: 107337
Sat Mar 21 18:39:50 2015  4 relations: 95418
Sat Mar 21 18:39:50 2015  5 relations: 86347
Sat Mar 21 18:39:50 2015  6 relations: 72613
Sat Mar 21 18:39:50 2015  7 relations: 63152
Sat Mar 21 18:39:50 2015  8 relations: 54149
Sat Mar 21 18:39:50 2015  9 relations: 45275
Sat Mar 21 18:39:50 2015  10+ relations: 194796
Sat Mar 21 18:39:50 2015  heaviest cycle: 23 relations
Sat Mar 21 18:39:50 2015  commencing cycle optimization
Sat Mar 21 18:39:51 2015  start with 5757040 relations
Sat Mar 21 18:39:55 2015  pruned 127563 relations
Sat Mar 21 18:39:56 2015  memory use: 192.3 MB
Sat Mar 21 18:39:56 2015  distribution of cycle lengths:
Sat Mar 21 18:39:56 2015  1 relations: 125551
Sat Mar 21 18:39:56 2015  2 relations: 115080
Sat Mar 21 18:39:56 2015  3 relations: 110865
Sat Mar 21 18:39:56 2015  4 relations: 97590
Sat Mar 21 18:39:56 2015  5 relations: 88047
Sat Mar 21 18:39:56 2015  6 relations: 73289
Sat Mar 21 18:39:56 2015  7 relations: 63725
Sat Mar 21 18:39:56 2015  8 relations: 54044
Sat Mar 21 18:39:56 2015  9 relations: 44931
Sat Mar 21 18:39:56 2015  10+ relations: 184297
Sat Mar 21 18:39:56 2015  heaviest cycle: 23 relations
Sat Mar 21 18:39:56 2015  RelProcTime: 129
Sat Mar 21 18:39:57 2015  
Sat Mar 21 18:39:57 2015  commencing linear algebra
Sat Mar 21 18:39:57 2015  read 957419 cycles
Sat Mar 21 18:39:58 2015  cycles contain 3240446 unique relations
Sat Mar 21 18:40:12 2015  read 3240446 relations
Sat Mar 21 18:40:14 2015  using 20 quadratic characters above 134217542
Sat Mar 21 18:40:24 2015  building initial matrix
Sat Mar 21 18:40:41 2015  memory use: 387.9 MB
Sat Mar 21 18:40:41 2015  read 957419 cycles
Sat Mar 21 18:40:41 2015  matrix is 957237 x 957419 (287.7 MB) with weight 84532196 (88.29/col)
Sat Mar 21 18:40:41 2015  sparse part has weight 64881642 (67.77/col)
Sat Mar 21 18:40:47 2015  filtering completed in 2 passes
Sat Mar 21 18:40:47 2015  matrix is 954704 x 954885 (287.4 MB) with weight 84435529 (88.42/col)
Sat Mar 21 18:40:47 2015  sparse part has weight 64839398 (67.90/col)
Sat Mar 21 18:40:49 2015  matrix starts at (0, 0)
Sat Mar 21 18:40:49 2015  matrix is 954704 x 954885 (287.4 MB) with weight 84435529 (88.42/col)
Sat Mar 21 18:40:49 2015  sparse part has weight 64839398 (67.90/col)
Sat Mar 21 18:40:49 2015  saving the first 48 matrix rows for later
Sat Mar 21 18:40:50 2015  matrix includes 64 packed rows
Sat Mar 21 18:40:50 2015  matrix is 954656 x 954885 (272.0 MB) with weight 67213919 (70.39/col)
Sat Mar 21 18:40:50 2015  sparse part has weight 61742472 (64.66/col)
Sat Mar 21 18:40:50 2015  using block size 65536 for processor cache size 8192 kB
Sat Mar 21 18:40:52 2015  commencing Lanczos iteration (8 threads)
Sat Mar 21 18:40:52 2015  memory use: 266.2 MB
Sat Mar 21 18:40:58 2015  linear algebra at 0.3%, ETA 0h31m
Sat Mar 21 19:11:01 2015  lanczos halted after 15099 iterations (dim = 954655)
Sat Mar 21 19:11:02 2015  recovered 37 nontrivial dependencies
Sat Mar 21 19:11:02 2015  BLanczosTime: 1865
Sat Mar 21 19:11:02 2015  
Sat Mar 21 19:11:02 2015  commencing square root phase
Sat Mar 21 19:11:02 2015  reading relations for dependency 1
Sat Mar 21 19:11:02 2015  read 477666 cycles
Sat Mar 21 19:11:02 2015  cycles contain 1620962 unique relations
Sat Mar 21 19:11:13 2015  read 1620962 relations
Sat Mar 21 19:11:16 2015  multiplying 1620962 relations
Sat Mar 21 19:11:52 2015  multiply complete, coefficients have about 42.51 million bits
Sat Mar 21 19:11:52 2015  initial square root is modulo 1270441
Sat Mar 21 19:12:30 2015  sqrtTime: 88
--
n: 8497497911739888189922477326551197000043337239349873429768604634365411104700221019920684354491819883635263596633971127201595490207908281406539844342833252748728137
m: 5000000000000000000000000000000000
deg: 5
c5: 16
c0: -355
skew: 1.86
# Murphy_E = 2.148e-10
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:36 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 36 秒 (日本時間)
403e62350Ignacio SantosFebruary 18, 2015 12:49:19 UTC 2015 年 2 月 18 日 (水) 21 時 49 分 19 秒 (日本時間)

10171-71

c156

name 名前Cyp
date 日付November 29, 2014 22:06:28 UTC 2014 年 11 月 30 日 (日) 7 時 6 分 28 秒 (日本時間)
composite number 合成数
457125482234245293204841577822717846113591383498669593697502765765080028810733567138097641052760267452824254879297494858772173351796973603703676220389327673<156>
prime factors 素因数
22786615955498312314305378219888170233<38>
20061139535901243934187484655046168812166746695625308680960070953313824944769480268882549929796423451843038091025903681<119>
factorization results 素因数分解の結果
Run 393 out of 601:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=218984284
Step 1 took 50185ms
Step 2 took 16781ms
********** Factor found in step 2: 22786615955498312314305378219888170233
Found probable prime factor of 38 digits: 22786615955498312314305378219888170233
Probable prime cofactor 20061139535901243934187484655046168812166746695625308680960070953313824944769480268882549929796423451843038091025903681 has 119 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:36 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 36 秒 (日本時間)
403e60 / 717--
4511e6393 / 4434CypNovember 29, 2014 22:06:28 UTC 2014 年 11 月 30 日 (日) 7 時 6 分 28 秒 (日本時間)

10172-71

c172

name 名前Erik Branger
date 日付November 19, 2014 19:34:28 UTC 2014 年 11 月 20 日 (木) 4 時 34 分 28 秒 (日本時間)
composite number 合成数
9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999929<172>
prime factors 素因数
39935878022302281107748259943103525983541419320934862832418803948111972190147<77>
250401405834009144792423818260570112902175529588608217331433437410204941440674512380422638378707<96>
factorization results 素因数分解の結果
Number: 99929_172
N = 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999929 (172 digits)
SNFS difficulty: 172 digits.
Divisors found:
r1=39935878022302281107748259943103525983541419320934862832418803948111972190147 (pp77)
r2=250401405834009144792423818260570112902175529588608217331433437410204941440674512380422638378707 (pp96)
Version: Msieve v. 1.51 (SVN 845)
Total time: 46.52 hours.
Factorization parameters were as follows:
n: 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999929
m: 10000000000000000000000000000000000
deg: 5
c5: 100
c0: -71
skew: 0.93
# Murphy_E = 1.668e-10
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
Sieved rational special-q in [0, 0)
Total raw relations: 11632263
Relations: 1491094 relations
Pruned matrix : 928904 x 929130
Polynomial selection time: 0.00 hours.
Total sieving time: 45.73 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.65 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: snfs,172,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 46.52 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:37 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 37 秒 (日本時間)

10174-71

c151

name 名前Cyp
date 日付May 7, 2015 16:28:21 UTC 2015 年 5 月 8 日 (金) 1 時 28 分 21 秒 (日本時間)
composite number 合成数
4927962472448859601614310472809574210770068997434645689552729853744672001420970047056213585662838238605340911372333481766399573777030381746340694029999<151>
prime factors 素因数
6237970476223052435899021658018711104011179<43>
2708260520761496611366999139051383573115220404519<49>
291698125341920594925145190912508683419060675265658673737899<60>
factorization results 素因数分解の結果
05/07/15 08:22:51 v1.34.3, 
05/07/15 08:22:51 v1.34.3, ****************************
05/07/15 08:22:51 v1.34.3, Starting factorization of 4927962472448859601614310472809574210770068997434645689552729853744672001420970047056213585662838238605340911372333481766399573777030381746340694029999
05/07/15 08:22:51 v1.34.3, using pretesting plan: none
05/07/15 08:22:51 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
05/07/15 08:22:51 v1.34.3, ****************************
05/07/15 08:22:51 v1.34.3, nfs: commencing nfs on c151: 4927962472448859601614310472809574210770068997434645689552729853744672001420970047056213585662838238605340911372333481766399573777030381746340694029999
05/07/15 08:22:51 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
05/07/15 08:22:51 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/07/15 08:27:39 v1.34.3, nfs: commencing lattice sieving with 8 threads
[93 lines snipped]
05/07/15 16:26:51 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/07/15 16:31:55 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/07/15 16:37:11 v1.34.3, nfs: commencing msieve filtering
05/07/15 16:38:51 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/07/15 16:44:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
[2 lines snipped]
05/07/15 16:59:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/07/15 17:04:39 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/07/15 17:09:57 v1.34.3, nfs: commencing msieve filtering
05/07/15 17:11:41 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/07/15 17:16:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
[2 lines snipped]
05/07/15 17:32:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/07/15 17:37:33 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/07/15 17:42:35 v1.34.3, nfs: commencing msieve filtering
05/07/15 17:44:58 v1.34.3, nfs: commencing msieve linear algebra
05/07/15 18:25:06 v1.34.3, nfs: commencing msieve sqrt
05/07/15 18:28:20 v1.34.3, prp49 = 2708260520761496611366999139051383573115220404519
05/07/15 18:28:20 v1.34.3, prp60 = 291698125341920594925145190912508683419060675265658673737899
05/07/15 18:28:20 v1.34.3, prp43 = 6237970476223052435899021658018711104011179
05/07/15 18:28:20 v1.34.3, NFS elapsed time = 36329.3228 seconds.
05/07/15 18:28:20 v1.34.3, 
05/07/15 18:28:20 v1.34.3, 
05/07/15 18:28:20 v1.34.3, Total factoring time = 36329.3234 seconds
--
Thu May  7 16:37:11 2015  
Thu May  7 16:37:11 2015  commencing relation filtering
Thu May  7 16:37:11 2015  estimated available RAM is 15987.3 MB
Thu May  7 16:37:11 2015  commencing duplicate removal, pass 1
Thu May  7 16:37:42 2015  found 1481020 hash collisions in 10114860 relations
Thu May  7 16:37:51 2015  added 371091 free relations
Thu May  7 16:37:51 2015  commencing duplicate removal, pass 2
Thu May  7 16:38:00 2015  found 1083552 duplicates and 9402399 unique relations
Thu May  7 16:38:00 2015  memory use: 41.3 MB
Thu May  7 16:38:00 2015  reading ideals above 100000
Thu May  7 16:38:00 2015  commencing singleton removal, initial pass
Thu May  7 16:38:44 2015  memory use: 344.5 MB
Thu May  7 16:38:44 2015  reading all ideals from disk
Thu May  7 16:38:45 2015  memory use: 348.4 MB
Thu May  7 16:38:45 2015  keeping 10963685 ideals with weight <= 200, target excess is 48994
Thu May  7 16:38:46 2015  commencing in-memory singleton removal
Thu May  7 16:38:46 2015  begin with 9402399 relations and 10963685 unique ideals
Thu May  7 16:38:51 2015  reduce to 3129929 relations and 3348017 ideals in 24 passes
Thu May  7 16:38:51 2015  max relations containing the same ideal: 99
Thu May  7 17:09:57 2015  
Thu May  7 17:09:57 2015  commencing relation filtering
Thu May  7 17:09:57 2015  estimated available RAM is 15987.3 MB
Thu May  7 17:09:57 2015  commencing duplicate removal, pass 1
Thu May  7 17:10:31 2015  found 1661634 hash collisions in 11055310 relations
Thu May  7 17:10:40 2015  added 1202 free relations
Thu May  7 17:10:40 2015  commencing duplicate removal, pass 2
Thu May  7 17:10:49 2015  found 1190764 duplicates and 9865748 unique relations
Thu May  7 17:10:49 2015  memory use: 41.3 MB
Thu May  7 17:10:49 2015  reading ideals above 100000
Thu May  7 17:10:49 2015  commencing singleton removal, initial pass
Thu May  7 17:11:35 2015  memory use: 344.5 MB
Thu May  7 17:11:35 2015  reading all ideals from disk
Thu May  7 17:11:35 2015  memory use: 365.8 MB
Thu May  7 17:11:36 2015  keeping 11145334 ideals with weight <= 200, target excess is 51591
Thu May  7 17:11:36 2015  commencing in-memory singleton removal
Thu May  7 17:11:37 2015  begin with 9865748 relations and 11145334 unique ideals
Thu May  7 17:11:41 2015  reduce to 3829717 relations and 3881336 ideals in 20 passes
Thu May  7 17:11:41 2015  max relations containing the same ideal: 107
Thu May  7 17:42:35 2015  
Thu May  7 17:42:35 2015  commencing relation filtering
Thu May  7 17:42:35 2015  estimated available RAM is 15987.3 MB
Thu May  7 17:42:35 2015  commencing duplicate removal, pass 1
Thu May  7 17:43:11 2015  found 1805812 hash collisions in 11616471 relations
Thu May  7 17:43:19 2015  added 1032 free relations
Thu May  7 17:43:19 2015  commencing duplicate removal, pass 2
Thu May  7 17:43:29 2015  found 1300976 duplicates and 10316527 unique relations
Thu May  7 17:43:29 2015  memory use: 45.3 MB
Thu May  7 17:43:29 2015  reading ideals above 720000
Thu May  7 17:43:29 2015  commencing singleton removal, initial pass
Thu May  7 17:44:13 2015  memory use: 344.5 MB
Thu May  7 17:44:13 2015  reading all ideals from disk
Thu May  7 17:44:14 2015  memory use: 308.8 MB
Thu May  7 17:44:14 2015  commencing in-memory singleton removal
Thu May  7 17:44:14 2015  begin with 10316527 relations and 11249435 unique ideals
Thu May  7 17:44:18 2015  reduce to 4480961 relations and 4284970 ideals in 17 passes
Thu May  7 17:44:18 2015  max relations containing the same ideal: 74
Thu May  7 17:44:20 2015  removing 342356 relations and 311732 ideals in 30624 cliques
Thu May  7 17:44:20 2015  commencing in-memory singleton removal
Thu May  7 17:44:20 2015  begin with 4138605 relations and 4284970 unique ideals
Thu May  7 17:44:22 2015  reduce to 4115054 relations and 3949467 ideals in 10 passes
Thu May  7 17:44:22 2015  max relations containing the same ideal: 70
Thu May  7 17:44:23 2015  removing 250032 relations and 219408 ideals in 30624 cliques
Thu May  7 17:44:23 2015  commencing in-memory singleton removal
Thu May  7 17:44:23 2015  begin with 3865022 relations and 3949467 unique ideals
Thu May  7 17:44:24 2015  reduce to 3851251 relations and 3716181 ideals in 8 passes
Thu May  7 17:44:24 2015  max relations containing the same ideal: 65
Thu May  7 17:44:25 2015  relations with 0 large ideals: 2914
Thu May  7 17:44:25 2015  relations with 1 large ideals: 1932
Thu May  7 17:44:25 2015  relations with 2 large ideals: 26814
Thu May  7 17:44:25 2015  relations with 3 large ideals: 165016
Thu May  7 17:44:25 2015  relations with 4 large ideals: 536060
Thu May  7 17:44:25 2015  relations with 5 large ideals: 999942
Thu May  7 17:44:25 2015  relations with 6 large ideals: 1128740
Thu May  7 17:44:25 2015  relations with 7+ large ideals: 989833
Thu May  7 17:44:25 2015  commencing 2-way merge
Thu May  7 17:44:27 2015  reduce to 2288067 relation sets and 2152997 unique ideals
Thu May  7 17:44:27 2015  commencing full merge
Thu May  7 17:44:49 2015  memory use: 255.5 MB
Thu May  7 17:44:49 2015  found 1143588 cycles, need 1127197
Thu May  7 17:44:49 2015  weight of 1127197 cycles is about 79018911 (70.10/cycle)
Thu May  7 17:44:49 2015  distribution of cycle lengths:
Thu May  7 17:44:49 2015  1 relations: 151750
Thu May  7 17:44:49 2015  2 relations: 136665
Thu May  7 17:44:49 2015  3 relations: 129567
Thu May  7 17:44:49 2015  4 relations: 114072
Thu May  7 17:44:49 2015  5 relations: 101749
Thu May  7 17:44:49 2015  6 relations: 84805
Thu May  7 17:44:49 2015  7 relations: 73421
Thu May  7 17:44:49 2015  8 relations: 62180
Thu May  7 17:44:49 2015  9 relations: 51868
Thu May  7 17:44:49 2015  10+ relations: 221120
Thu May  7 17:44:49 2015  heaviest cycle: 23 relations
Thu May  7 17:44:50 2015  commencing cycle optimization
Thu May  7 17:44:51 2015  start with 6688354 relations
Thu May  7 17:44:57 2015  pruned 157204 relations
Thu May  7 17:44:57 2015  memory use: 221.4 MB
Thu May  7 17:44:57 2015  distribution of cycle lengths:
Thu May  7 17:44:57 2015  1 relations: 151750
Thu May  7 17:44:57 2015  2 relations: 139811
Thu May  7 17:44:57 2015  3 relations: 133961
Thu May  7 17:44:57 2015  4 relations: 116453
Thu May  7 17:44:57 2015  5 relations: 103969
Thu May  7 17:44:57 2015  6 relations: 85612
Thu May  7 17:44:57 2015  7 relations: 73841
Thu May  7 17:44:57 2015  8 relations: 61920
Thu May  7 17:44:57 2015  9 relations: 51313
Thu May  7 17:44:57 2015  10+ relations: 208567
Thu May  7 17:44:57 2015  heaviest cycle: 23 relations
Thu May  7 17:44:58 2015  RelProcTime: 143
Thu May  7 17:44:58 2015  
Thu May  7 17:44:58 2015  commencing linear algebra
Thu May  7 17:44:58 2015  read 1127197 cycles
Thu May  7 17:44:59 2015  cycles contain 3715550 unique relations
Thu May  7 17:45:15 2015  read 3715550 relations
Thu May  7 17:45:18 2015  using 20 quadratic characters above 134217174
Thu May  7 17:45:29 2015  building initial matrix
Thu May  7 17:45:50 2015  memory use: 445.8 MB
Thu May  7 17:45:50 2015  read 1127197 cycles
Thu May  7 17:45:50 2015  matrix is 1127019 x 1127197 (337.6 MB) with weight 99240001 (88.04/col)
Thu May  7 17:45:50 2015  sparse part has weight 76107661 (67.52/col)
Thu May  7 17:45:56 2015  filtering completed in 2 passes
Thu May  7 17:45:56 2015  matrix is 1124765 x 1124943 (337.4 MB) with weight 99161027 (88.15/col)
Thu May  7 17:45:56 2015  sparse part has weight 76077386 (67.63/col)
Thu May  7 17:45:59 2015  matrix starts at (0, 0)
Thu May  7 17:45:59 2015  matrix is 1124765 x 1124943 (337.4 MB) with weight 99161027 (88.15/col)
Thu May  7 17:45:59 2015  sparse part has weight 76077386 (67.63/col)
Thu May  7 17:45:59 2015  saving the first 48 matrix rows for later
Thu May  7 17:45:59 2015  matrix includes 64 packed rows
Thu May  7 17:46:00 2015  matrix is 1124717 x 1124943 (319.1 MB) with weight 78829362 (70.07/col)
Thu May  7 17:46:00 2015  sparse part has weight 72401754 (64.36/col)
Thu May  7 17:46:00 2015  using block size 65536 for processor cache size 8192 kB
Thu May  7 17:46:02 2015  commencing Lanczos iteration (8 threads)
Thu May  7 17:46:02 2015  memory use: 313.4 MB
Thu May  7 17:46:05 2015  linear algebra at 0.1%, ETA 0h37m
Thu May  7 17:46:06 2015  checkpointing every 1820000 dimensions
Thu May  7 18:25:05 2015  lanczos halted after 17790 iterations (dim = 1124715)
Thu May  7 18:25:06 2015  recovered 39 nontrivial dependencies
Thu May  7 18:25:06 2015  BLanczosTime: 2408
Thu May  7 18:25:06 2015  
Thu May  7 18:25:06 2015  commencing square root phase
Thu May  7 18:25:06 2015  reading relations for dependency 1
Thu May  7 18:25:06 2015  read 562162 cycles
Thu May  7 18:25:07 2015  cycles contain 1856882 unique relations
Thu May  7 18:25:19 2015  read 1856882 relations
Thu May  7 18:25:23 2015  multiplying 1856882 relations
Thu May  7 18:25:59 2015  multiply complete, coefficients have about 49.09 million bits
Thu May  7 18:25:59 2015  initial square root is modulo 11183351
Thu May  7 18:26:43 2015  found factor: 6237970476223052435899021658018711104011179
Thu May  7 18:26:43 2015  reading relations for dependency 2
Thu May  7 18:26:43 2015  read 562008 cycles
Thu May  7 18:26:44 2015  cycles contain 1858120 unique relations
Thu May  7 18:26:56 2015  read 1858120 relations
Thu May  7 18:27:00 2015  multiplying 1858120 relations
Thu May  7 18:27:36 2015  multiply complete, coefficients have about 49.13 million bits
Thu May  7 18:27:36 2015  initial square root is modulo 11308261
Thu May  7 18:28:20 2015  sqrtTime: 194
--
n: 4927962472448859601614310472809574210770068997434645689552729853744672001420970047056213585662838238605340911372333481766399573777030381746340694029999
m: 50000000000000000000000000000000000
deg: 5
c5: 16
c0: -355
skew: 1.86
# Murphy_E = 1.36e-10
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:37 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 37 秒 (日本時間)
403e62350Ignacio SantosMarch 8, 2015 22:58:02 UTC 2015 年 3 月 9 日 (月) 7 時 58 分 2 秒 (日本時間)

10177-71

c153

name 名前Jo Yeong Uk
date 日付October 9, 2015 10:13:57 UTC 2015 年 10 月 9 日 (金) 19 時 13 分 57 秒 (日本時間)
composite number 合成数
200762733756573303885065609942288229183238329668349541638606577499859399593712818334917220359196940233190851858203593888437999337922600731425913964947633<153>
prime factors 素因数
1127429438122541588840519136692584519974239248523<49>
178071218444406251036812923299259772921785934180200771778229506283429452376132104781422894928840661067571<105>
factorization results 素因数分解の結果
Number: 99929_177
N=200762733756573303885065609942288229183238329668349541638606577499859399593712818334917220359196940233190851858203593888437999337922600731425913964947633
  ( 153 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=1127429438122541588840519136692584519974239248523
 r2=178071218444406251036812923299259772921785934180200771778229506283429452376132104781422894928840661067571
Version: 
Total time: 43.06 hours.
Scaled time: 225.87 units (timescale=5.246).
Factorization parameters were as follows:
n: 200762733756573303885065609942288229183238329668349541638606577499859399593712818334917220359196940233190851858203593888437999337922600731425913964947633
m: 100000000000000000000000000000000000
deg: 5
c5: 100
c0: -71
skew: 0.93
# Murphy_E = 1.053e-10
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
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: 53/53
Sieved rational special-q in [4200000, 8900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18566571
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1512859 x 1513107
Total sieving time: 38.03 hours.
Total relation processing time: 2.15 hours.
Matrix solve time: 2.79 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,53,53,2.5,2.5,100000
total time: 43.06 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49365480k/51380224k available (5395k kernel code, 1086460k absent, 928284k reserved, 7013k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.95 BogoMIPS (lpj=3399977)
Total of 12 processors activated (81599.44 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:38 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 38 秒 (日本時間)
403e60--
4511e6601 / 4434KTakahashiMay 2, 2015 07:58:13 UTC 2015 年 5 月 2 日 (土) 16 時 58 分 13 秒 (日本時間)

10178-71

c106

name 名前Serge Batalov
date 日付November 18, 2014 06:33:17 UTC 2014 年 11 月 18 日 (火) 15 時 33 分 17 秒 (日本時間)
composite number 合成数
1920896880921649951397544276566048884836276043698637707423034198453807852076250277208616352768660556730077<106>
prime factors 素因数
4833051159164610259547381268273592049<37>
397450144362567791303795267447895969906362017769623427504299410214573<69>
factorization results 素因数分解の結果
Input number is 1920896880921649951397544276566048884836276043698637707423034198453807852076250277208616352768660556730077 (106 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2441884309
Step 1 took 2308ms
Step 2 took 2053ms
********** Factor found in step 2: 4833051159164610259547381268273592049
Found probable prime factor of 37 digits: 4833051159164610259547381268273592049
Probable prime cofactor 397450144362567791303795267447895969906362017769623427504299410214573 has 69 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:38 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 38 秒 (日本時間)

10179-71

c135

name 名前Cyp
date 日付December 3, 2014 21:48:24 UTC 2014 年 12 月 4 日 (木) 6 時 48 分 24 秒 (日本時間)
composite number 合成数
120391137653999895587259230425793970830978311131490217996776735864314207317800503506744202264519347977509824765654543102302201907220443<135>
prime factors 素因数
16802598940834574566094105305510216849<38>
7165030723992281588060831191083403195399171822993914221645146078005486017274014524236114333422507<97>
factorization results 素因数分解の結果
Run 335 out of 601:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4160733182
Step 1 took 34766ms
Step 2 took 6407ms
********** Factor found in step 2: 16802598940834574566094105305510216849
Found probable prime factor of 38 digits: 16802598940834574566094105305510216849
Probable prime cofactor 7165030723992281588060831191083403195399171822993914221645146078005486017274014524236114333422507 has 97 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:39 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 39 秒 (日本時間)
403e60 / 917--
4511e6335 / 4434CypDecember 3, 2014 21:48:23 UTC 2014 年 12 月 4 日 (木) 6 時 48 分 23 秒 (日本時間)

10181-71

c104

name 名前Dmitry Domanov
date 日付November 19, 2014 14:29:27 UTC 2014 年 11 月 19 日 (水) 23 時 29 分 27 秒 (日本時間)
composite number 合成数
89994686846298219169088194783482869685515298123916229399175284055846099627387645715295909620728118403047<104>
prime factors 素因数
3000458583483275552583137619519874799000227<43>
29993644085505786916467304624509305706262650460240887775239661<62>
factorization results 素因数分解の結果
N=89994686846298219169088194783482869685515298123916229399175284055846099627387645715295909620728118403047
  ( 104 digits)
Divisors found:
 r1=3000458583483275552583137619519874799000227 (pp43)
 r2=29993644085505786916467304624509305706262650460240887775239661 (pp62)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 5.11 hours.
Scaled time: 7.94 units (timescale=1.555).
Factorization parameters were as follows:
n: 89994686846298219169088194783482869685515298123916229399175284055846099627387645715295909620728118403047
skew: 2934715.91
c0: 67944696880057927507691527287
c1: -19055369440403125897099
c2: -43340889334873591
c3: 5214917031
c4: 2772
Y0: -13423168673582693203733248
Y1: 56750955561235
rlim: 2360000
alim: 2360000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 96000
Factor base limits: 2360000/2360000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1180000, 1756001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 276857 x 277084
Total sieving time: 4.87 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,103,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2360000,2360000,26,26,52,52,2.5,2.5,100000
total time: 5.11 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:39 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 39 秒 (日本時間)

10182-71

c182

name 名前Dmitry Domanov
date 日付November 27, 2014 07:51:19 UTC 2014 年 11 月 27 日 (木) 16 時 51 分 19 秒 (日本時間)
composite number 合成数
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999929<182>
prime factors 素因数
418417644597139731678520987061737975176817<42>
98874762432315126911258505436683898921290883902751<50>
2417155312733943785429250963532274876533222561252144310487089380707779976930134372045988887<91>
factorization results 素因数分解の結果
N=99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999929
  ( 182 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=418417644597139731678520987061737975176817 (pp42)
 r2=98874762432315126911258505436683898921290883902751 (pp50)
 r3=2417155312733943785429250963532274876533222561252144310487089380707779976930134372045988887 (pp91)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 149.38 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999929
m: 1000000000000000000000000000000000000
deg: 5
c5: 100
c0: -71
skew: 0.93
# Murphy_E = 6.621e-11
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 160000
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3800000, 11160001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1698965 x 1699194
Total sieving time: 145.45 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 3.08 hours.
Time per square root: 0.63 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000
total time: 149.38 hours.
 --------- CPU info (if available) ----------
[    0.074811] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49295964k/51380224k available (5351k kernel code, 1057796k absent, 1026464k reserved, 7000k data, 1344k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.38 BogoMIPS (lpj=2400194)
[    0.709831] Total of 16 processors activated (76642.81 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
800Youcef LemsaferNovember 17, 2014 18:05:34 UTC 2014 年 11 月 18 日 (火) 3 時 5 分 34 秒 (日本時間)
403e62400Youcef LemsaferNovember 17, 2014 18:05:34 UTC 2014 年 11 月 18 日 (火) 3 時 5 分 34 秒 (日本時間)

10183-71

c151

name 名前Jo Yeong Uk
date 日付April 12, 2016 23:14:49 UTC 2016 年 4 月 13 日 (水) 8 時 14 分 49 秒 (日本時間)
composite number 合成数
3478668763664226391714164133314166483315515757560533236934639919734403624974968499066041325432406642691018073973413957489410962310159104017842160444213<151>
prime factors 素因数
8427390890505422009187468344911808755180801485263805204073<58>
412781228361367449744684930021732071518826583117571137948387480443837039275827283896613459181<93>
factorization results 素因数分解の結果
Number: 99929_183
N=3478668763664226391714164133314166483315515757560533236934639919734403624974968499066041325432406642691018073973413957489410962310159104017842160444213
  ( 151 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=8427390890505422009187468344911808755180801485263805204073
 r2=412781228361367449744684930021732071518826583117571137948387480443837039275827283896613459181
Version: 
Total time: 67.05 hours.
Scaled time: 352.34 units (timescale=5.255).
Factorization parameters were as follows:
n: 3478668763664226391714164133314166483315515757560533236934639919734403624974968499066041325432406642691018073973413957489410962310159104017842160444213
m: 2000000000000000000000000000000000000
deg: 5
c5: 125
c0: -284
skew: 1.18
# Murphy_E = 6.281e-11
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor 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, 6600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18291917
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1521392 x 1521639
Total sieving time: 62.68 hours.
Total relation processing time: 1.48 hours.
Matrix solve time: 2.79 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,100000
total time: 67.05 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49365468k/51380224k available (5397k kernel code, 1086460k absent, 928296k reserved, 7011k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.82 BogoMIPS (lpj=3399914)
Total of 12 processors activated (81597.93 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:40 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 40 秒 (日本時間)
403e60--
4511e6601 / 4434CypMay 19, 2015 16:12:40 UTC 2015 年 5 月 20 日 (水) 1 時 12 分 40 秒 (日本時間)

10184-71

c138

name 名前Jo Yeong Uk
date 日付May 21, 2016 08:11:32 UTC 2016 年 5 月 21 日 (土) 17 時 11 分 32 秒 (日本時間)
composite number 合成数
887188403804139636219844335425719616719230197841871007309312874466311045700401584058460729816357263362403181014448362958777004697486510739<138>
prime factors 素因数
97784335839309610974629191489030964780284952351<47>
9072909236322563472705863976047839039016021365524191629867074471203799776365409394405976589<91>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 887188403804139636219844335425719616719230197841871007309312874466311045700401584058460729816357263362403181014448362958777004697486510739 (138 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=6183055753
Step 1 took 24458ms
********** Factor found in step 1: 97784335839309610974629191489030964780284952351
Found probable prime factor of 47 digits: 97784335839309610974629191489030964780284952351
Probable prime cofactor 9072909236322563472705863976047839039016021365524191629867074471203799776365409394405976589 has 91 digits
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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:40 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 40 秒 (日本時間)
403e60--
4511e6616 / 4434Pierre JammesMarch 25, 2015 15:06:00 UTC 2015 年 3 月 26 日 (木) 0 時 6 分 0 秒 (日本時間)

10185-71

c146

name 名前Jo Yeong Uk
date 日付August 2, 2016 23:42:05 UTC 2016 年 8 月 3 日 (水) 8 時 42 分 5 秒 (日本時間)
composite number 合成数
13814402706005186440375767172079983810139083609494996757829332545838039886669909014420502747374786891275355383616541216813799828407974695116831989<146>
prime factors 素因数
1112809442654026932516440667146702180796913089604992370361<58>
12413987675246652122526921248172779201465093347859207473763231379954182384475229165816349<89>
factorization results 素因数分解の結果
Number: 99929_185
N=13814402706005186440375767172079983810139083609494996757829332545838039886669909014420502747374786891275355383616541216813799828407974695116831989
  ( 146 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=1112809442654026932516440667146702180796913089604992370361
 r2=12413987675246652122526921248172779201465093347859207473763231379954182384475229165816349
Version: 
Total time: 68.69 hours.
Scaled time: 360.48 units (timescale=5.248).
Factorization parameters were as follows:
n: 13814402706005186440375767172079983810139083609494996757829332545838039886669909014420502747374786891275355383616541216813799828407974695116831989
m: 10000000000000000000000000000000000000
deg: 5
c5: 1
c0: -71
skew: 2.35
# Murphy_E = 6.639e-11
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3600000, 6700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20199449
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1591649 x 1591897
Total sieving time: 63.49 hours.
Total relation processing time: 1.63 hours.
Matrix solve time: 3.21 hours.
Time per square root: 0.35 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,54,54,2.5,2.5,100000
total time: 68.69 hours.
 --------- CPU info (if available) ----------
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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:41 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 41 秒 (日本時間)
403e60--
4511e6718 / 4434Pierre JammesApril 26, 2015 06:03:31 UTC 2015 年 4 月 26 日 (日) 15 時 3 分 31 秒 (日本時間)

10188-71

c158

name 名前Cyp
date 日付February 9, 2015 03:30:45 UTC 2015 年 2 月 9 日 (月) 12 時 30 分 45 秒 (日本時間)
composite number 合成数
23556668595904866109748935991939142302885667681057967031076453017219646726347026842287331278414000825959997968722579235987991827976227222890561906807383513749<158>
prime factors 素因数
7005850377137383955371382499247972669<37>
3362428160438420169448586601087090501970310789148489457852142747142394149997575472296069966007497248011219919304634123321<121>
factorization results 素因数分解の結果
Run 350 out of 601:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2226237048
Step 1 took 50129ms
Step 2 took 16715ms
********** Factor found in step 2: 7005850377137383955371382499247972669
Found probable prime factor of 37 digits: 7005850377137383955371382499247972669
Probable prime cofactor 3362428160438420169448586601087090501970310789148489457852142747142394149997575472296069966007497248011219919304634123321 has 121 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:41 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 41 秒 (日本時間)
403e60 / 865--
4511e6350 / 4434CypFebruary 9, 2015 03:30:45 UTC 2015 年 2 月 9 日 (月) 12 時 30 分 45 秒 (日本時間)

10189-71

c181

name 名前Kenji Ibusuki
date 日付March 28, 2018 14:09:36 UTC 2018 年 3 月 28 日 (水) 23 時 9 分 36 秒 (日本時間)
composite number 合成数
2680250311042378533890268263332159392631264475010084508801554725293225481597493833018759948368837318216478569692783893205147610484078909774736459630722456030433341717781698013136609<181>
prime factors 素因数
2863851305836000867946197676814508019151351431<46>
1168267084226617754464263859071400427607826012158912880949351<61>
801092653866618684960064851232918952937207246559425191891670056258408204689<75>
factorization results 素因数分解の結果
Number: 99929_189
N=2680250311042378533890268263332159392631264475010084508801554725293225481597493833018759948368837318216478569692783893205147610484078909774736459630722456030433341717781698013136609
  ( 181 digits)
SNFS difficulty: 189 digits.
Divisors found: (Total dependency: 4 (3, 4))
 r1=2863851305836000867946197676814508019151351431 (pp46)
 r2=1168267084226617754464263859071400427607826012158912880949351 (pp61)
 r3=801092653866618684960064851232918952937207246559425191891670056258408204689 (pp75)
Msieve version: Msieve v. 1.49 (SVN unknown)
GGNFS version: GGNFS-0.77.1-VC8(UTE)
Total time: 378.67 hours (19.03 calendar hours).
Scaled time: 1709.71 units (timescale=4.515).
Factorization parameters were as follows:
n: 2680250311042378533890268263332159392631264475010084508801554725293225481597493833018759948368837318216478569692783893205147610484078909774736459630722456030433341717781698013136609
m: 50000000000000000000000000000000000000
deg: 5
c5: 16
c0: -355
skew: 1.86
# Murphy_E = 3.355e-11
type: snfs
lss: 1
rlim: 10200000
alim: 10200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
relslim: 29100000
qintsize: 5000

Polynomial score was as follows:
skew 1.86, size 2.698e-013, alpha 0.943, combined = 3.771e-011 rroots = 1
Factor base limits: 10200000/10200000
Large primes per side: 3
Large prime bits: 28/28
Sieved special-q in [5100000, 26150001)
Relations: raw-rels:29271197 rels:24848400, finalFF:1699290
Pruned matrix : 1698878 x 1699103
Total sieving time: 366.25 hours (16.97 calendar hours).
Total relation processing time: 0.11 hours.
Total matrix build processing time: 0.04 hours.
Matrix pruned processing time: (N/A)
Matrix solve time: 12.09 hours (1.73 calendar hours).
Total time of square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,10200000,10200000,28,28,54,54,2.5,2.5,100000
total time: 378.67 hours (19.03 calendar hours).
 --------- CPU info (if available) ----------
software ソフトウェア
Msieve v. 1.49 (SVN unknown) + GGNFS-0.77.1-VC8 with 
factMsieve.pl (decomposed + modified) snfs
(without procrels.exe, matbuild.exe for "finalFF" calculation)
execution environment 実行環境
[Envilonment]
  PC #1   (Master) --- Intel Core i7 2600, 16GB RAM, Windows 7 64bit
  PC #2,3 (Slave)  --- Intel Core i7 4770, 16GB RAM, Windows 7 64bit
  PC #4   (Slave)  --- Intel Core 2 Quad Q6600, 4GB RAM, Windows Vista 32bit

[Threads used]
  (Sieving)
    PC #1   --- 7 threads used
    PC #2,3 --- 7 threads used x 2
    PC #4   --- 4 threads used
  (Relation processing and Matrix build processing)
    PC #1   --- 1 thread used
  (Matrix solve)
    PC #1   --- 7 threads used
  (Square root processing)
    PC #1   --- 1 thread used

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:42 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 42 秒 (日本時間)
403e60--
4511e6601 / 4434CypDecember 1, 2014 02:16:45 UTC 2014 年 12 月 1 日 (月) 11 時 16 分 45 秒 (日本時間)

10190-71

c172

name 名前Serge Batalov
date 日付November 18, 2014 06:33:14 UTC 2014 年 11 月 18 日 (火) 15 時 33 分 14 秒 (日本時間)
composite number 合成数
1744046179264180978411198684110753029048150386977853510738839853461713502848928480268930892531555562433641147989528139903597314743287478808998060209237812340177170287099307<172>
prime factors 素因数
1458206017122639198602019316708649<34>
composite cofactor 合成数の残り
1196021795812890150666658409273980820726750700905931196873647424775952517831654603557902004586682507590746383146328031970970128307012862643<139>
factorization results 素因数分解の結果
Input number is 1744046179264180978411198684110753029048150386977853510738839853461713502848928480268930892531555562433641147989528139903597314743287478808998060209237812340177170287099307 (172 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=4029706468
Step 1 took 4101ms
Step 2 took 3112ms
********** Factor found in step 2: 1458206017122639198602019316708649
Found probable prime factor of 34 digits: 1458206017122639198602019316708649
Composite cofactor 1196021795812890150666658409273980820726750700905931196873647424775952517831654603557902004586682507590746383146328031970970128307012862643 has 139 digits

c139

name 名前Pierre Jammes
date 日付March 26, 2015 06:44:35 UTC 2015 年 3 月 26 日 (木) 15 時 44 分 35 秒 (日本時間)
composite number 合成数
1196021795812890150666658409273980820726750700905931196873647424775952517831654603557902004586682507590746383146328031970970128307012862643<139>
prime factors 素因数
2073537813380190882436977853010476133<37>
576802500583863284955596801399196214007088588442064520707800202994368061825056703380718078574183388471<102>
factorization results 素因数分解の結果
Using B1=11000000, B2=144269945836, polynomial Dickson(12), sigma=502211903
Step 1 took 79468ms
Step 2 took 58728ms
********** Factor found in step 2: 2073537813380190882436977853010476133
Found probable prime factor of 37 digits: 2073537813380190882436977853010476133
Probable prime cofactor 576802500583863284955596801399196214007088588442064520707800202994368061825056703380718078574183388471 has 102 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
debian 8

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:42 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 42 秒 (日本時間)

10191-71

c173

name 名前Youcef Lemsafer
date 日付November 17, 2014 18:16:07 UTC 2014 年 11 月 18 日 (火) 3 時 16 分 7 秒 (日本時間)
composite number 合成数
39564619301277988718626265354701049796017129251405484940066730829496662420671714582854284101943138626918982391345562757632360525334351205112985325096646673231829727300918801<173>
prime factors 素因数
87307202491485396905041997954558899<35>
453165582818170285465489572432557168786354918948311750867203159666743754329181230773957998712057037635745299761371185697744262489540992299<138>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Running on node001
Input number is (10^191-71)/(19*2687*49507584955693) (173 digits)
[Mon Nov 17 18:10:53 2014]
Using MODMULN [mulredc:0, sqrredc:2]
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1596733427
dF=4096, k=6, d=39270, d2=13, i0=13
Expected number of curves to find a factor of n digits:
35 40      45      50      55      60      65      70      75      80
910     8615    97096   1281819 1.9e+07 3.1e+08 6.2e+09 1.7e+11 2.3e+16 3.1e+21
Step 1 took 5356ms
Using 21 small primes for NTT
Estimated memory usage: 14M
Initializing tables of differences for F took 12ms
Computing roots of F took 132ms
Building F from its roots took 152ms
Computing 1/F took 92ms
Initializing table of differences for G took 12ms
Computing roots of G took 112ms
Building G from its roots took 172ms
Computing roots of G took 112ms
Building G from its roots took 172ms
Computing G * H took 48ms
Reducing  G * H mod F took 56ms
Computing roots of G took 112ms
Building G from its roots took 172ms
Computing G * H took 48ms
Reducing  G * H mod F took 56ms
Computing roots of G took 112ms
Building G from its roots took 168ms
Computing G * H took 48ms
Reducing  G * H mod F took 52ms
Computing roots of G took 108ms
Building G from its roots took 172ms
Computing G * H took 48ms
Reducing  G * H mod F took 52ms
Computing roots of G took 108ms
Building G from its roots took 168ms
Computing G * H took 48ms
Reducing  G * H mod F took 56ms
Computing polyeval(F,G) took 312ms
Computing product of all F(g_i) took 4ms
Step 2 took 2932ms
********** Factor found in step 2: 87307202491485396905041997954558899
Found probable prime factor of 35 digits: 87307202491485396905041997954558899
Probable prime cofactor ((10^191-71)/(19*2687*49507584955693))/87307202491485396905041997954558899 has 138 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
800Youcef LemsaferNovember 17, 2014 18:15:33 UTC 2014 年 11 月 18 日 (火) 3 時 15 分 33 秒 (日本時間)

10192-71

c192

name 名前Serge Batalov
date 日付December 2, 2014 03:27:26 UTC 2014 年 12 月 2 日 (火) 12 時 27 分 26 秒 (日本時間)
composite number 合成数
142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142847<192>
prime factors 素因数
1046525299026768741068753217116023171164585525047394200222311<61>
136506153257828465809508145718369455308983869750098551160254283876356602000971065383615288017350808966812012625246906645736036495977<132>
factorization results 素因数分解の結果
Mon Dec  1 19:26:55 2014  prp61 factor: 1046525299026768741068753217116023171164585525047394200222311
Mon Dec  1 19:26:55 2014  prp132 factor: 136506153257828465809508145718369455308983869750098551160254283876356602000971065383615288017350808966812012625246906645736036495977
software ソフトウェア
Msieve v. 1.52 (SVN 923M)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:43 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 43 秒 (日本時間)
403e620802000Serge BatalovNovember 22, 2014 04:47:24 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 24 秒 (日本時間)
80Serge BatalovNovember 22, 2014 04:55:23 UTC 2014 年 11 月 22 日 (土) 13 時 55 分 23 秒 (日本時間)

10194-71

c121

name 名前Erik Branger
date 日付November 25, 2014 07:34:11 UTC 2014 年 11 月 25 日 (火) 16 時 34 分 11 秒 (日本時間)
composite number 合成数
7101486070606161834261889394748475154033416861472971174825964617311811021268742381686372555248029160685716966352959078763<121>
prime factors 素因数
165219352356508911565800939591979269610608560144538931746829<60>
42982168670426910189251452327782739686212626724687811621628247<62>
factorization results 素因数分解の結果
Number: 99929_194
N = 7101486070606161834261889394748475154033416861472971174825964617311811021268742381686372555248029160685716966352959078763 (121 digits)
Divisors found:
r1=165219352356508911565800939591979269610608560144538931746829 (pp60)
r2=42982168670426910189251452327782739686212626724687811621628247 (pp62)
Version: Msieve v. 1.51 (SVN 845)
Total time: 27.52 hours.
Factorization parameters were as follows:
n: 7101486070606161834261889394748475154033416861472971174825964617311811021268742381686372555248029160685716966352959078763
Y0: -195541515984888950945993
Y1: 3585655215979
c0: 727974351754648140674064771000
c1: -22267698416135360085467244
c2: -131671574483956137854
c3: 2704674818325479
c4: 8605197054
c5: 24840
skew: 134504.81 
type: gnfs
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10543629
Relations: 1331204 relations
Pruned matrix : 757127 x 757354
Polynomial selection time: 0.00 hours.
Total sieving time: 26.74 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.44 hours.
time per square root: 0.27 hours.
Prototype def-par.txt line would be: gnfs,120,5,65,2000,1e-05,0.28,250,20,50000,3600,4400000,4400000,27,27,53,53,2.5,2.5,100000
total time: 27.52 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:43 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 43 秒 (日本時間)
403e620802000Serge BatalovNovember 22, 2014 04:47:01 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 1 秒 (日本時間)
80Serge BatalovNovember 22, 2014 04:54:56 UTC 2014 年 11 月 22 日 (土) 13 時 54 分 56 秒 (日本時間)

10196-71

c116

name 名前Erik Branger
date 日付November 23, 2014 20:24:59 UTC 2014 年 11 月 24 日 (月) 5 時 24 分 59 秒 (日本時間)
composite number 合成数
72799237717189554036022463027094890634219142739541203031117849146304702679476621237006052883500403532015592427022949<116>
prime factors 素因数
646958608068503438281334461389905242185737167<45>
112525340584820198129559615902402294218327135335218195915976316031678347<72>
factorization results 素因数分解の結果
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 72799237717189554036022463027094890634219142739541203031117849146304702679476621237006052883500403532015592427022949 (116 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2677699941
Step 1 took 26925ms
Step 2 took 18970ms
********** Factor found in step 2: 646958608068503438281334461389905242185737167
Found probable prime factor of 45 digits: 646958608068503438281334461389905242185737167
Probable prime cofactor 112525340584820198129559615902402294218327135335218195915976316031678347 has 72 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:43 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 43 秒 (日本時間)

10197-71

c155

name 名前Cyp
date 日付February 5, 2015 01:07:06 UTC 2015 年 2 月 5 日 (木) 10 時 7 分 6 秒 (日本時間)
composite number 合成数
57386818513113287297815095702800763021960175847826787449765327401304136582635483363975545326260246394335893566620875478975944989958852502280345985504678239<155>
prime factors 素因数
1565700712935249496695672712258684223<37>
composite cofactor 合成数の残り
36652482839794525921663171883919797068248389723295835388734288720011626928076532105096092475916434646612738884540058593<119>
factorization results 素因数分解の結果
Run 63 out of 601:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1750409296
Step 1 took 51679ms
Step 2 took 16992ms
********** Factor found in step 2: 1565700712935249496695672712258684223
Found probable prime factor of 37 digits: 1565700712935249496695672712258684223
Composite cofactor 36652482839794525921663171883919797068248389723295835388734288720011626928076532105096092475916434646612738884540058593 has 119 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c119

name 名前Erik Branger
date 日付February 10, 2015 22:35:30 UTC 2015 年 2 月 11 日 (水) 7 時 35 分 30 秒 (日本時間)
composite number 合成数
36652482839794525921663171883919797068248389723295835388734288720011626928076532105096092475916434646612738884540058593<119>
prime factors 素因数
32272572030694500895316207582623175054603<41>
1135716199035338244300697878488313616427424461038791316321118241432618289995331<79>
factorization results 素因数分解の結果
Number: 99929_197
N = 36652482839794525921663171883919797068248389723295835388734288720011626928076532105096092475916434646612738884540058593 (119 digits)
Divisors found:
r1=32272572030694500895316207582623175054603 (pp41)
r2=1135716199035338244300697878488313616427424461038791316321118241432618289995331 (pp79)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 14.20 hours.
Factorization parameters were as follows:
# Murphy_E = 2.939e-10, selected by Maksym Voznyy
n: 36652482839794525921663171883919797068248389723295835388734288720011626928076532105096092475916434646612738884540058593
Y0: -134264974247017184880866
Y1: 567204725459
c0: 8796430956566126011941618759
c1: 111381028081715120970390
c2: -49909191956523786986
c3: -65465116910401
c4: 4783895338
c5: 840
skew: 99511.31
type: gnfs
# selected mechanically
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 9058277
Relations: 1141940 relations
Pruned matrix : 667916 x 668142
Polynomial selection time: 0.00 hours.
Total sieving time: 13.84 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.27 hours.
time per square root: 0.03 hours.
Prototype def-par.txt line would be: gnfs,118,5,63,2000,2.6e-05,0.28,250,20,50000,3600,4800000,4800000,27,27,51,51,2.5,2.5,100000
total time: 14.20 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:44 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 44 秒 (日本時間)
403e60--
4511e6601 / 4434CypFebruary 5, 2015 01:07:05 UTC 2015 年 2 月 5 日 (木) 10 時 7 分 5 秒 (日本時間)

10198-71

c154

name 名前Cyp
date 日付June 25, 2015 15:05:33 UTC 2015 年 6 月 26 日 (金) 0 時 5 分 33 秒 (日本時間)
composite number 合成数
2356098198301888389437778296898803063315885097486444741247187335701655666908023852482832275466022501591778288603228369065117475849835020305825273837646177<154>
prime factors 素因数
335132616742764352812960269284108963<36>
composite cofactor 合成数の残り
7030345841002828894439881121243099433614142630292081900134597065003762899071491994864428883952360527700508997376628779<118>
factorization results 素因数分解の結果
Run 82 out of 601:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1820145769
Step 1 took 42069ms
Step 2 took 15350ms
********** Factor found in step 2: 335132616742764352812960269284108963
Found probable prime factor of 36 digits: 335132616742764352812960269284108963
Composite cofactor 7030345841002828894439881121243099433614142630292081900134597065003762899071491994864428883952360527700508997376628779 has 118 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c118

name 名前Dmitry Domanov
date 日付June 27, 2015 12:07:42 UTC 2015 年 6 月 27 日 (土) 21 時 7 分 42 秒 (日本時間)
composite number 合成数
7030345841002828894439881121243099433614142630292081900134597065003762899071491994864428883952360527700508997376628779<118>
prime factors 素因数
2404480981774458134748290511443877885435462757259341<52>
2923851714482921979643991243199583072859825511883789589397012639319<67>
factorization results 素因数分解の結果
N=7030345841002828894439881121243099433614142630292081900134597065003762899071491994864428883952360527700508997376628779
  ( 118 digits)
Divisors found:
 r1=2404480981774458134748290511443877885435462757259341 (pp52)
 r2=2923851714482921979643991243199583072859825511883789589397012639319 (pp67)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 26.92 hours.
Scaled time: 50.67 units (timescale=1.882).
Factorization parameters were as follows:
n: 7030345841002828894439881121243099433614142630292081900134597065003762899071491994864428883952360527700508997376628779
skew: 54881.01
c0: -382422488372880217825568880
c1: 516761106255287134588154
c2: 21999873204236025912
c3: -361622144434125
c4: -6014066788
c5: 43956
Y0: -43731241719774376091599
Y1: 382862289661
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 100000
type: gnfs
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2550000, 3950001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 700195 x 700420
Total sieving time: 26.26 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.47 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5100000,5100000,27,27,54,54,2.5,2.5,100000
total time: 26.92 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:44 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 44 秒 (日本時間)
403e60--
4511e6601 / 4434CypJune 25, 2015 15:05:32 UTC 2015 年 6 月 26 日 (金) 0 時 5 分 32 秒 (日本時間)

10199-71

c194

name 名前Jo Yeong Uk
date 日付August 10, 2019 12:02:48 UTC 2019 年 8 月 10 日 (土) 21 時 2 分 48 秒 (日本時間)
composite number 合成数
71093922180592781123141782609004756183393881657057138185256542418188669050682857122544593662687776821959490683141498233316033812269389089926702166231808842662040822130116096374920908011574090531<194>
prime factors 素因数
89532750587103739106600243287204247497439944598916095317967229509007968638272201199<83>
794054932015381650634811966270116960640053493898577331473722097986425994929463065732873978880949886993766432269<111>
factorization results 素因数分解の結果
Number: 99929_199
N=71093922180592781123141782609004756183393881657057138185256542418188669050682857122544593662687776821959490683141498233316033812269389089926702166231808842662040822130116096374920908011574090531
  ( 194 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=89532750587103739106600243287204247497439944598916095317967229509007968638272201199
 r2=794054932015381650634811966270116960640053493898577331473722097986425994929463065732873978880949886993766432269
Version: 
Total time: 254.60 hours.
Scaled time: 1335.63 units (timescale=5.246).
Factorization parameters were as follows:
n: 71093922180592781123141782609004756183393881657057138185256542418188669050682857122544593662687776821959490683141498233316033812269389089926702166231808842662040822130116096374920908011574090531
m: 10000000000000000000000000000000000000000
deg: 5
c5: 1
c0: -710
skew: 3.72
# Murphy_E = 1.292e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8000000, 17400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 38910091
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3287297 x 3287544
Total sieving time: 224.08 hours.
Total relation processing time: 9.56 hours.
Matrix solve time: 20.38 hours.
Time per square root: 0.57 hours.
Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.5,2.5,100000
total time: 254.60 hours.
 --------- CPU info (if available) ----------
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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:45 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 45 秒 (日本時間)
403e620802000Serge BatalovNovember 22, 2014 04:47:27 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 27 秒 (日本時間)
80Serge BatalovNovember 22, 2014 04:55:26 UTC 2014 年 11 月 22 日 (土) 13 時 55 分 26 秒 (日本時間)

10200-71

c165

name 名前Jo Yeong Uk
date 日付October 20, 2019 15:26:46 UTC 2019 年 10 月 21 日 (月) 0 時 26 分 46 秒 (日本時間)
composite number 合成数
671552182680335128327134443187817524522967005685494522808966940843186299489022199645284438772033726483793395960438389875811187345284007458861039014706798390837446039<165>
prime factors 素因数
13255869028571527011099965196352883909033154954339470313803<59>
50660743647427439332890992543714826256965720199790329612648135912789976837017195379580183026121390411002213<107>
factorization results 素因数分解の結果
Number: 99929_200
N=671552182680335128327134443187817524522967005685494522808966940843186299489022199645284438772033726483793395960438389875811187345284007458861039014706798390837446039
  ( 165 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=13255869028571527011099965196352883909033154954339470313803
 r2=50660743647427439332890992543714826256965720199790329612648135912789976837017195379580183026121390411002213
Version: 
Total time: 218.01 hours.
Scaled time: 1145.44 units (timescale=5.254).
Factorization parameters were as follows:
n: 671552182680335128327134443187817524522967005685494522808966940843186299489022199645284438772033726483793395960438389875811187345284007458861039014706798390837446039
m: 10000000000000000000000000000000000000000
deg: 5
c5: 1
c0: -71
skew: 2.35
# Murphy_E = 1.591e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8000000, 15900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 37978409
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3225961 x 3226204
Total sieving time: 190.93 hours.
Total relation processing time: 7.79 hours.
Matrix solve time: 19.09 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000
total time: 218.01 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367580k/51380224k available (5540k kernel code, 1086464k absent, 926180k reserved, 6889k data, 1348k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.92 BogoMIPS (lpj=3399964)
Total of 12 processors activated (81599.13 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:45 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 45 秒 (日本時間)
403e60--
4511e6601 / 4434CypAugust 3, 2015 17:20:36 UTC 2015 年 8 月 4 日 (火) 2 時 20 分 36 秒 (日本時間)

10201-71

c128

name 名前Erik Branger
date 日付December 5, 2014 07:25:29 UTC 2014 年 12 月 5 日 (金) 16 時 25 分 29 秒 (日本時間)
composite number 合成数
79435089660059853181570816057283452316378408939789110301819366471535425404745695544463486486981656154415291655886967641873874931<128>
prime factors 素因数
26172796492737581430408578871556463049791440194812368952263<59>
3035024922999782409248366290319153902812502139412702359225005767672437<70>
factorization results 素因数分解の結果
Number: 99929_201
N = 79435089660059853181570816057283452316378408939789110301819366471535425404745695544463486486981656154415291655886967641873874931 (128 digits)
Divisors found:
r1=26172796492737581430408578871556463049791440194812368952263 (pp59)
r2=3035024922999782409248366290319153902812502139412702359225005767672437 (pp70)
Version: Msieve v. 1.51 (SVN 845)
Total time: 55.61 hours.
Factorization parameters were as follows:
n: 79435089660059853181570816057283452316378408939789110301819366471535425404745695544463486486981656154415291655886967641873874931
Y0: -6700792348216183225312280
Y1: 37923824069147
c0: 500145625384203958890278594193
c1: -174492166796113179973984479
c2: -3022035327742432733291
c3: 5268717603394991
c4: 10203785986
c5: 5880
skew: 376742.94 
type: gnfs
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 18953740
Relations: 2370906 relations
Pruned matrix : 1306174 x 1306408
Polynomial selection time: 0.00 hours.
Total sieving time: 53.85 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.41 hours.
time per square root: 0.20 hours.
Prototype def-par.txt line would be: gnfs,127,5,65,2000,1e-05,0.28,250,20,50000,3600,6400000,6400000,28,28,55,55,2.5,2.5,100000
total time: 55.61 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:45 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 45 秒 (日本時間)
403e620802000Serge BatalovNovember 22, 2014 04:47:08 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 8 秒 (日本時間)
80Serge BatalovNovember 22, 2014 04:55:03 UTC 2014 年 11 月 22 日 (土) 13 時 55 分 3 秒 (日本時間)

10202-71

c174

name 名前Cyp
date 日付May 15, 2015 12:20:04 UTC 2015 年 5 月 15 日 (金) 21 時 20 分 4 秒 (日本時間)
composite number 合成数
610365452298280983462976567935440653881556917037239285230854241770340939813506600239898783743284198223210834896852209007711236270514931000368400923087047297188176936877673637<174>
prime factors 素因数
4064929948658201074727647423303741<34>
150153990353451834107151941241615562927900235137220953504321590144292489544104786767587973803202418059589969984242249324260044279019406904457<141>
factorization results 素因数分解の結果
Run 291 out of 601:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4171952136
Step 1 took 61353ms
Step 2 took 19231ms
********** Factor found in step 2: 4064929948658201074727647423303741
Found probable prime factor of 34 digits: 4064929948658201074727647423303741
Probable prime cofactor 150153990353451834107151941241615562927900235137220953504321590144292489544104786767587973803202418059589969984242249324260044279019406904457 has 141 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:46 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 46 秒 (日本時間)
403e60 / 1069--
4511e6291 / 4434CypMay 15, 2015 12:20:04 UTC 2015 年 5 月 15 日 (金) 21 時 20 分 4 秒 (日本時間)

10204-71

c179

name 名前Cyp
date 日付August 3, 2015 05:45:14 UTC 2015 年 8 月 3 日 (月) 14 時 45 分 14 秒 (日本時間)
composite number 合成数
25904144947989822716133123494880405579998963832270015180661861153886299551575218053081447299391441731471193172703128551116718840272279885394755006441977585162440745677864671557919<179>
prime factors 素因数
45469100051868479293797108975319013<35>
5057043754616482895758448591070300683941<40>
112656483728909959867320814025734762810224394928457405875023184621733905317015647380276780438607143796343<105>
factorization results 素因数分解の結果
Run 25 out of 601:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1791397632
Step 1 took 59357ms
Step 2 took 18714ms
********** Factor found in step 2: 5057043754616482895758448591070300683941
Found probable prime factor of 40 digits: 5057043754616482895758448591070300683941
Composite cofactor 5122388930161500349808153998165321652197043532465285825752481667795013707724747969205666511327674555858052569451932732002740958242327769459 has 139 digits
--
Run 258 out of 601:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1694434381
Step 1 took 42480ms
Step 2 took 15193ms
********** Factor found in step 2: 45469100051868479293797108975319013
Found probable prime factor of 35 digits: 45469100051868479293797108975319013
Probable prime cofactor 112656483728909959867320814025734762810224394928457405875023184621733905317015647380276780438607143796343 has 105 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:46 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 46 秒 (日本時間)

10207-71

c187

name 名前Bob Backstrom
date 日付June 7, 2022 20:24:41 UTC 2022 年 6 月 8 日 (水) 5 時 24 分 41 秒 (日本時間)
composite number 合成数
6581574509216873141086023340062292228664463803278410092335878224324891767919987898090793160418079097541330201847619470795325718433981505275251796739908474334883699983968969014563492666783<187>
prime factors 素因数
152382865935947025846084534362009061599926193<45>
25443473384265284399207179431307974941754874677932278846672020923<65>
1697529251769441877381518373660260000092155568929472395351196389250572211676797<79>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 6581574509216873141086023340062292228664463803278410092335878224324891767919987898090793160418079097541330201847619470795325718433981505275251796739908474334883699983968969014563492666783 (187 digits)
Using B1=50630000, B2=288592384096, polynomial Dickson(12), sigma=1:1096165127
Step 1 took 127119ms
Step 2 took 41669ms
********** Factor found in step 2: 152382865935947025846084534362009061599926193
Found prime factor of 45 digits: 152382865935947025846084534362009061599926193
Composite cofactor 43191040336407557339383923573748624950112881871123155837438717280338270518587000891549317535245574495987443333015496936769717848105454497623631 has 143 digits


CADO


STA:Sun 05 Jun 2022 23:35:54 AEST (43,191,040,336,407,557,339,383,923,573,748,624,950,112,881,871,123,155,837,438,717,280,338,270,518,587,000,891,549,317,535,245,574,495,987,443,333,015,496,936,769,717,848,105,454,497,623,631 - C143)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 43191040336407557339383923573748624950112881871123155837438717280338270518587000891549317535245574495987443333015496936769717848105454497623631 2>&1 | tee -a log162

Debug:root: Looking for parameter file for c143 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c145
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c145
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.fa15db7y
Info:Database: Opened connection to database /tmp/cado.fa15db7y/c145.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 43191040336407557339383923573748624950112881871123155837438717280338270518587000891549317535245574495987443333015496936769717848105454497623631
Debug:root: Root parameter dictionary:
N = 43191040336407557339383923573748624950112881871123155837438717280338270518587000891549317535245574495987443333015496936769717848105454497623631
lim0 = 10000000
lim1 = 20000000
lpb0 = 29
lpb1 = 29
name = c145
===
Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 43191040336407557339383923573748624950112881871123155837438717280338270518587000891549317535245574495987443333015496936769717848105454497623631
skew: 259647.985
c0: -61750313932534185108480482938032
c1: -6348906854788707124167691048
c2: 7060202441053800694362
c3: 41601564905847757
c4: 46984297794
c5: 388080
Y0: -4716316315811910848287847275
Y1: 60100574820943861867
# MurphyE (Bf=2.00e+07,Bg=1.00e+07,area=6.71e+14) = 3.88e-10
# f(x) = 388080*x^5+46984297794*x^4+41601564905847757*x^3+7060202441053800694362*x^2-6348906854788707124167691048*x-61750313932534185108480482938032
# g(x) = 60100574820943861867*x-4716316315811910848287847275
===

Info:Square Root: finished
Info:Square Root: Factors: 1697529251769441877381518373660260000092155568929472395351196389250572211676797 25443473384265284399207179431307974941754874677932278846672020923
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 4439.81/624.416
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78293/42.580/51.406/56.330/0.942
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 78293/41.540/45.978/52.090/1.226
Info:Polynomial Selection (size optimized): Total time: 50991.5
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1894.34
Info:Polynomial Selection (root optimized): Rootsieve time: 1893.39
Info:Generate Factor Base: Total cpu/real time for makefb: 24.84/2.42859
Info:Generate Free Relations: Total cpu/real time for freerel: 605.45/42.6613
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 48630876
Info:Lattice Sieving: Average J: 3782.42 for 951725 special-q, max bucket fill: 0.688737
Info:Lattice Sieving: Total CPU time: 2.4432e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 133/184.874
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 184.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 844.84/267.73
Info:Filtering - Singleton removal: Total cpu/real time for purge: 414.44/184.631
Info:Filtering - Merging: Total cpu/real time for merge: 1526.71/1261.63
Info:Filtering - Merging: Total cpu/real time for replay: 132.1/104.09
Info:Linear Algebra: Total cpu/real time for bwc: 338423/0.00018239
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 14673.78
Info:Linear Algebra: Lingen CPU time 823.59, WCT time 79.53
Info:Linear Algebra: Mksol: WCT time 8068.35
Info:Quadratic Characters: Total cpu/real time for characters: 139.11/33.3874
Info:Square Root: Total cpu/real time for sqrt: 4439.81/624.416
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 2.84277e+06/185908
Info:root: Cleaning up computation data in /tmp/cado.fa15db7y
1697529251769441877381518373660260000092155568929472395351196389250572211676797 25443473384265284399207179431307974941754874677932278846672020923

END:Wed 08 Jun 2022 03:14:23 AEST (43,191,040,336,407,557,339,383,923,573,748,624,950,112,881,871,123,155,837,438,717,280,338,270,518,587,000,891,549,317,535,245,574,495,987,443,333,015,496,936,769,717,848,105,454,497,623,631 - C143)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:47 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 47 秒 (日本時間)
403e60--
4511e6601 / 4434CypDecember 3, 2014 06:52:10 UTC 2014 年 12 月 3 日 (水) 15 時 52 分 10 秒 (日本時間)

10208-71

c179

name 名前Bob Backstrom
date 日付August 23, 2024 16:20:38 UTC 2024 年 8 月 24 日 (土) 1 時 20 分 38 秒 (日本時間)
composite number 合成数
14451448158021422959746900989541403935015177002220598012019234656971074680019359020408999812686797533317009052565941930190518171064185670827007900612246625968235601028700712941511<179>
prime factors 素因数
377210770325458635106570413564485178591155828429729<51>
38311334921727362628089401847241599458605965245722760525388827064012152603226703486770956725430787348450302436573883278456787559<128>
factorization results 素因数分解の結果
Number: n
N=14451448158021422959746900989541403935015177002220598012019234656971074680019359020408999812686797533317009052565941930190518171064185670827007900612246625968235601028700712941511  ( 179 digits)
SNFS difficulty: 208 digits.
Divisors found:

Fri Aug 23 23:48:55 2024  prp51 factor: 377210770325458635106570413564485178591155828429729
Fri Aug 23 23:48:55 2024  prp128 factor: 38311334921727362628089401847241599458605965245722760525388827064012152603226703486770956725430787348450302436573883278456787559
Fri Aug 23 23:48:55 2024  elapsed time 03:41:01 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.110).
Factorization parameters were as follows:
#
# N = 10^208-71 = 9(206)29
#
n: 14451448158021422959746900989541403935015177002220598012019234656971074680019359020408999812686797533317009052565941930190518171064185670827007900612246625968235601028700712941511
m: 100000000000000000000000000000000000000000
deg: 5
c5: 1000
c0: -71
skew: 0.59
# Murphy_E = 5.774e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 27
lpba: 27
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
q0:       50000
qintsize: 50000
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 57/57
Sieved  special-q in [50000, 56050000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 7431278 hash collisions in 24721109 relations (15645177 unique)
Msieve: matrix is 2598663 x 2598888 (735.3 MB)

Sieving start time: 2024/08/22 13:52:25
Sieving end time  : 2024/08/23 20:00:26

Total sieving time: 30hrs 8min 1secs.

Total relation processing time: 3hrs 31min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 39sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,27,27,57,57,2.6,2.6,100000
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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:47 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 47 秒 (日本時間)
403e60--
4511e65081601CypAugust 3, 2015 05:45:15 UTC 2015 年 8 月 3 日 (月) 14 時 45 分 15 秒 (日本時間)
4480Ignacio SantosAugust 20, 2024 14:05:10 UTC 2024 年 8 月 20 日 (火) 23 時 5 分 10 秒 (日本時間)

10209-71

c205

name 名前Serge Batalov
date 日付November 22, 2014 05:55:36 UTC 2014 年 11 月 22 日 (土) 14 時 55 分 36 秒 (日本時間)
composite number 合成数
7962417389919579584361812246197945696313400748467234652440480930010351142606895453459670355920057329405207420973007405048172625209013456485388964089497571462696074528226769647264909626562624412771717493431<205>
prime factors 素因数
2386045247084746161194925890467059430051<40>
3337077282858741653623276836729637201754040186437230258040136411336091755883839283327888319595969451560912224783676964981540694015184130711372976708300951248532444381<166>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1159257796
Step 1 took 16146ms
Step 2 took 11074ms
********** Factor found in step 2: 2386045247084746161194925890467059430051
Found probable prime factor of 40 digits: 2386045247084746161194925890467059430051
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:48 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 48 秒 (日本時間)
403e620802000Serge BatalovNovember 22, 2014 04:47:33 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 33 秒 (日本時間)
80Serge BatalovNovember 22, 2014 04:55:32 UTC 2014 年 11 月 22 日 (土) 13 時 55 分 32 秒 (日本時間)

10210-71

c198

name 名前Serge Batalov
date 日付November 18, 2014 06:38:58 UTC 2014 年 11 月 18 日 (火) 15 時 38 分 58 秒 (日本時間)
composite number 合成数
359882325708564738182780867250146972271289567355994941795457199722414087721358068478597854613049789644593518443105379433484800871942784960311721256118094005706246140215341800501675608129460143224233<198>
prime factors 素因数
4844035472363179043529942997900207<34>
composite cofactor 合成数の残り
74293907995061591022352615333607627439231637165636158961531951468254407919741696703071822524094134869111741261166330348578486254358022551275987767397726888914362919<164>
factorization results 素因数分解の結果
Input number is 359882325708564738182780867250146972271289567355994941795457199722414087721358068478597854613049789644593518443105379433484800871942784960311721256118094005706246140215341800501675608129460143224233 (198 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=4121426318
Step 1 took 5366ms
Step 2 took 3166ms
********** Factor found in step 2: 4844035472363179043529942997900207
Found probable prime factor of 34 digits: 4844035472363179043529942997900207
Composite cofactor 74293907995061591022352615333607627439231637165636158961531951468254407919741696703071822524094134869111741261166330348578486254358022551275987767397726888914362919 has 164 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:48 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 48 秒 (日本時間)
403e60--
4511e6601 / 4434CypMay 14, 2015 20:18:01 UTC 2015 年 5 月 15 日 (金) 5 時 18 分 1 秒 (日本時間)

10213-71

c183

composite cofactor 合成数の残り
108650021841581367570913548019257825735481008566145058825825031275644743523681203474679441985268140409793382043293696963087133939654478652667589689224033231329943466082500435886935839<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:49 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 49 秒 (日本時間)
403e60--
4511e6601 / 4434CypDecember 6, 2014 08:07:21 UTC 2014 年 12 月 6 日 (土) 17 時 7 分 21 秒 (日本時間)

10214-71

c193

composite cofactor 合成数の残り
1537250664386288882549232156976697132835970709947117122580208791761406298257636422196227715068552617746377131094461336808016113313538984477382212599915206070716576757502615497941353837816426947<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:49 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 49 秒 (日本時間)
403e60--
4511e6601 / 4434CypMay 19, 2015 07:17:09 UTC 2015 年 5 月 19 日 (火) 16 時 17 分 9 秒 (日本時間)

10216-71

c208

name 名前Serge Batalov
date 日付June 10, 2015 06:05:29 UTC 2015 年 6 月 10 日 (水) 15 時 5 分 29 秒 (日本時間)
composite number 合成数
1073430548921650401916388689034309363978756461645342687931344446934075770570626480506945095114807803639573833859857637067787872317467136368244454605991246768554068043566694511920258932144140885286361981899769<208>
prime factors 素因数
1460243901430852705993872501942911419<37>
composite cofactor 合成数の残り
735103600069704401142038466259848830164140406696875781859799907204851481722127198948182069525787544157852571987879096289321239632402854253107563359609627593578874019314651<171>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=44990593
Step 1 took 9424ms
Step 2 took 4952ms
********** Factor found in step 2: 1460243901430852705993872501942911419
Found probable prime factor of 37 digits: 1460243901430852705993872501942911419
Composite cofactor 

c171

name 名前Serge Batalov
date 日付June 20, 2015 16:55:35 UTC 2015 年 6 月 21 日 (日) 1 時 55 分 35 秒 (日本時間)
composite number 合成数
735103600069704401142038466259848830164140406696875781859799907204851481722127198948182069525787544157852571987879096289321239632402854253107563359609627593578874019314651<171>
prime factors 素因数
262556173940204693800472937904295287<36>
composite cofactor 合成数の残り
2799795521994158216503200042823126770948231039397765070114519097360552296443328023811740424434227375569120351598990605729437359289290173<136>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=762141367
Step 1 took 12353ms
Step 2 took 10636ms
********** Factor found in step 2: 262556173940204693800472937904295287
Found probable prime factor of 36 digits: 262556173940204693800472937904295287
Composite cofactor

c136

name 名前KTakahashi
date 日付June 25, 2015 09:31:22 UTC 2015 年 6 月 25 日 (木) 18 時 31 分 22 秒 (日本時間)
composite number 合成数
2799795521994158216503200042823126770948231039397765070114519097360552296443328023811740424434227375569120351598990605729437359289290173<136>
prime factors 素因数
581310909254474564312400270783407293<36>
4816347805316208519954633500619086330924172448777892999578680492794144905480301027690865958892412161<100>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 2799795521994158216503200042823126770948231039397765070114519097360552296443328023811740424434227375569120351598990605729437359289290173 (136 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3075415144
Step 1 took 38157ms
Step 2 took 15039ms
********** Factor found in step 2: 581310909254474564312400270783407293
Found probable prime factor of 36 digits: 581310909254474564312400270783407293
Probable prime cofactor 4816347805316208519954633500619086330924172448777892999578680492794144905480301027690865958892412161 has 100 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:49 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 49 秒 (日本時間)

10217-71

c208

name 名前Serge Batalov
date 日付November 18, 2014 06:39:12 UTC 2014 年 11 月 18 日 (火) 15 時 39 分 12 秒 (日本時間)
composite number 合成数
4690482831205943816241850942162065687550671080816893945786818755147198076032236069344205119557224874838534643125460419846797414097602719694292415563793712176711584167109535410738454340042482556670107512625477<208>
prime factors 素因数
39215289495336507613809947963<29>
composite cofactor 合成数の残り
119608522379102601032187671875001131174129691670259544492832299839007040778211501927012014883855718957218778700005699354901151907660343766486904390866354231789309717679025555882879<180>
factorization results 素因数分解の結果
Input number is 4690482831205943816241850942162065687550671080816893945786818755147198076032236069344205119557224874838534643125460419846797414097602719694292415563793712176711584167109535410738454340042482556670107512625477 (208 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1232598705
Step 1 took 5353ms
********** Factor found in step 1: 39215289495336507613809947963
Found probable prime factor of 29 digits: 39215289495336507613809947963
Composite cofactor 119608522379102601032187671875001131174129691670259544492832299839007040778211501927012014883855718957218778700005699354901151907660343766486904390866354231789309717679025555882879 has 180 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:50 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 50 秒 (日本時間)
403e60--
4511e6601 / 4434CypJuly 7, 2015 18:48:32 UTC 2015 年 7 月 8 日 (水) 3 時 48 分 32 秒 (日本時間)

10220-71

c142

name 名前Serge Batalov
date 日付November 22, 2014 05:56:58 UTC 2014 年 11 月 22 日 (土) 14 時 56 分 58 秒 (日本時間)
composite number 合成数
1228862916546118431082713053976704635103917536990403084358173502050624982968759142594472028606097911761089578072311833113571471818964612111921<142>
prime factors 素因数
521881208539485916263749194788725015018323<42>
2354679372313789218489466379819540051501056589570319676113584957118054723956361530503999836628456427<100>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3311031906
Step 1 took 9207ms
Step 2 took 7483ms
********** Factor found in step 2: 521881208539485916263749194788725015018323
Found probable prime factor of 42 digits: 521881208539485916263749194788725015018323
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:50 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 50 秒 (日本時間)
403e620802000Serge BatalovNovember 22, 2014 04:47:15 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 15 秒 (日本時間)
80Serge BatalovNovember 22, 2014 04:55:13 UTC 2014 年 11 月 22 日 (土) 13 時 55 分 13 秒 (日本時間)

10221-71

c178

name 名前Erik Branger
date 日付October 1, 2019 18:15:36 UTC 2019 年 10 月 2 日 (水) 3 時 15 分 36 秒 (日本時間)
composite number 合成数
3374562482133232094307570745869163866377777863094822921429512900655606553686092524947755959801257531808759889832976961209108831248721662339192135719013292935821445920541914668487<178>
prime factors 素因数
13676621600214176946438343058321357667857880899257<50>
246739478562482578754922138032358406358464248723407439248240489337603382243332039910233864181026527546253934452778129484546187391<129>
factorization results 素因数分解の結果
Number: 99929_221
N = 3374562482133232094307570745869163866377777863094822921429512900655606553686092524947755959801257531808759889832976961209108831248721662339192135719013292935821445920541914668487 (178 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=13676621600214176946438343058321357667857880899257 (pp50)
r2=246739478562482578754922138032358406358464248723407439248240489337603382243332039910233864181026527546253934452778129484546187391 (pp129)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 95.07 hours.
Factorization parameters were as follows:
n: 3374562482133232094307570745869163866377777863094822921429512900655606553686092524947755959801257531808759889832976961209108831248721662339192135719013292935821445920541914668487
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 10
c0: -71
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 22369622
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/22369622
Large primes per side: 3
Large prime bits: 29/28
Relations: 8594458 relations
Pruned matrix : 7434838 x 7435063
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 44.87 hours.
Total relation processing time: 0.42 hours.
Matrix solve time: 49.12 hours.
time per square root: 0.66 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,22369622,29,28,58,56,2.8,2.8,100000
total time: 95.07 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:51 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 51 秒 (日本時間)
403e60--
4511e6601 / 4434CypDecember 4, 2014 06:18:44 UTC 2014 年 12 月 4 日 (木) 15 時 18 分 44 秒 (日本時間)

10224-71

c205

name 名前Bob Backstrom
date 日付August 2, 2020 07:24:26 UTC 2020 年 8 月 2 日 (日) 16 時 24 分 26 秒 (日本時間)
composite number 合成数
2559426259650678871667061914378051269331792471073658495797291313499396196756221444448844369340232628111587628653400117853853489288188417919825928640237448606978125928680748470842161420185606552020554146969<205>
prime factors 素因数
5903472247346206837800505052990777896269151<43>
64634731889638881832017974419681777760220530137<47>
6707630701950496606846657146742459332388854705961225908015049125289261387070671416350386289564992988865080662622687<115>
factorization results 素因数分解の結果
#
# N = 10^224-71 = 9(222)29
#
# n: 2559426259650678871667061914378051269331792471073658495797291313499396196756221444448844369340232628111587628653400117853853489288188417919825928640237448606978125928680748470842161420185606552020554146969
#
# Found probable prime factor of 43 digits: 5903472247346206837800505052990777896269151
# Composite cofactor 433545912035280600925300071430403800522058085071496812231290416923819278735796562799204403161046719414886327819004511595807889512426191025664519981085351943418119 has 162 digits
#
n: 433545912035280600925300071430403800522058085071496812231290416923819278735796562799204403161046719414886327819004511595807889512426191025664519981085351943418119
m: 500000000000000000000000000000000000000000000
deg: 5
c5: 16
c0: -355
skew: 1.86
# Murphy_E = 1.108e-12
type: snfs
lss: 1
rlim: 39000000
alim: 39000000
lpbr: 29
lpba: 29
mfbr: 59
mfba: 59
rlambda: 2.6
alambda: 2.6



GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM]
Input number is 2559426259650678871667061914378051269331792471073658495797291313499396196756221444448844369340232628111587628653400117853853489288188417919825928640237448606978125928680748470842161420185606552020554146969 (205 digits)
Using B1=12720000, B2=35135665120, polynomial Dickson(12), sigma=3841328912
Step 1 took 66686ms
Step 2 took 19826ms
********** Factor found in step 2: 5903472247346206837800505052990777896269151
Found probable prime factor of 43 digits: 5903472247346206837800505052990777896269151
Composite cofactor 433545912035280600925300071430403800522058085071496812231290416923819278735796562799204403161046719414886327819004511595807889512426191025664519981085351943418119 has 162 digits



GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM]
Input number is 433545912035280600925300071430403800522058085071496812231290416923819278735796562799204403161046719414886327819004511595807889512426191025664519981085351943418119 (162 digits)
Using B1=51240000, B2=288593074786, polynomial Dickson(12), sigma=3073750419
Step 1 took 199905ms
Step 2 took 53009ms
********** Factor found in step 2: 64634731889638881832017974419681777760220530137
Found probable prime factor of 47 digits: 64634731889638881832017974419681777760220530137
Probable prime cofactor 6707630701950496606846657146742459332388854705961225908015049125289261387070671416350386289564992988865080662622687 has 115 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:51 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 51 秒 (日本時間)
403e60--
4511e6601 / 4434CypDecember 6, 2014 06:31:23 UTC 2014 年 12 月 6 日 (土) 15 時 31 分 23 秒 (日本時間)

10225-71

c182

composite cofactor 合成数の残り
51484961960171109154449530008294328326380933565379700494341680763237459182144368241647510355199318175166662696426705581704746356543173159977387685814495757682894381381447829888474447<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:52 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 52 秒 (日本時間)
403e60--
4511e6601 / 4434CypMay 24, 2015 12:19:22 UTC 2015 年 5 月 24 日 (日) 21 時 19 分 22 秒 (日本時間)

10227-71

c216

name 名前Serge Batalov
date 日付November 18, 2014 06:38:54 UTC 2014 年 11 月 18 日 (火) 15 時 38 分 54 秒 (日本時間)
composite number 合成数
876238858084875932981220138087988250688189414189649471191496912950003055025617848368765171583107676739927771762188644617958772784604183814076412499679121439699175693951768808084695963596516372547427137355857729414823<216>
prime factors 素因数
146970805125469816600235621207<30>
5961992637495765299663912235910671341377534261370936322567147838115716254674586749422387757777434663403950950463274963726170652729247453871599896725805368757764730198844924847852313898289<187>
factorization results 素因数分解の結果
Input number is 876238858084875932981220138087988250688189414189649471191496912950003055025617848368765171583107676739927771762188644617958772784604183814076412499679121439699175693951768808084695963596516372547427137355857729414823 (216 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1402595651
Step 1 took 6818ms
Step 2 took 4130ms
********** Factor found in step 2: 146970805125469816600235621207
Found probable prime factor of 30 digits: 146970805125469816600235621207
Probable prime cofactor 5961992637495765299663912235910671341377534261370936322567147838115716254674586749422387757777434663403950950463274963726170652729247453871599896725805368757764730198844924847852313898289 has 187 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:52 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 52 秒 (日本時間)

10231-71

c231

name 名前Serge Batalov
date 日付November 17, 2014 22:23:58 UTC 2014 年 11 月 18 日 (火) 7 時 23 分 58 秒 (日本時間)
composite number 合成数
999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999929<231>
prime factors 素因数
162291133316234158246235008932881<33>
composite cofactor 合成数の残り
6161766077826563026510584814646322440539460332476464380811339629881180842151871033189467145533084894316592933603917995964942226457420495280319264134000759369067966180092383546467204225480506909684009<199>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=48923644
Step 1 took 6151ms
Step 2 took 3586ms
********** Factor found in step 2: 162291133316234158246235008932881
Found probable prime factor of 33 digits: 162291133316234158246235008932881
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:52 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 52 秒 (日本時間)
403e60--
4511e6601 / 4434345CypJanuary 1, 2015 15:24:08 UTC 2015 年 1 月 2 日 (金) 0 時 24 分 8 秒 (日本時間)
256CypMay 30, 2015 04:54:56 UTC 2015 年 5 月 30 日 (土) 13 時 54 分 56 秒 (日本時間)

10233-71

c229

composite cofactor 合成数の残り
3238027393711750801411779943658323349415536055435028980345173720169672635430495741993977269047696143509374089304795518570087102936890846096557976880484408898099277919891202279571285173072564193893080335459637988537383026260402163<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:53 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 53 秒 (日本時間)
403e620802000Serge BatalovNovember 22, 2014 04:47:41 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 41 秒 (日本時間)
80Serge BatalovNovember 22, 2014 04:55:42 UTC 2014 年 11 月 22 日 (土) 13 時 55 分 42 秒 (日本時間)
4511e62000 / 39741000Serge BatalovDecember 18, 2014 00:18:51 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 51 秒 (日本時間)
1000Serge BatalovDecember 21, 2014 10:24:49 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 49 秒 (日本時間)

10234-71

c176

composite cofactor 合成数の残り
40562497659003025325872795659036013143565608264687670968073283272971843734461918992305618985591695326697599956748897283434150316041265052098874876439831212918979954259315518687<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:53 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 53 秒 (日本時間)
403e60--
4511e6601 / 4434CypJanuary 27, 2015 07:16:38 UTC 2015 年 1 月 27 日 (火) 16 時 16 分 38 秒 (日本時間)

10235-71

c170

name 名前Serge Batalov
date 日付November 17, 2014 23:01:35 UTC 2014 年 11 月 18 日 (火) 8 時 1 分 35 秒 (日本時間)
composite number 合成数
19786597777930996083468251785348569893983462539076496851596833050710902074913728626540991413896348903710268388241528570326993357091842463188718188651685162070994075546709<170>
prime factors 素因数
2539807359059527157630623561373270011877<40>
composite cofactor 合成数の残り
7790589986028638956051771793266563966694559879477780852195154790443151763869991568036210952128155977994306529433104289847890922417<130>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3113001047
Step 1 took 3648ms
Step 2 took 2757ms
********** Factor found in step 2: 2539807359059527157630623561373270011877
Found probable prime factor of 40 digits: 2539807359059527157630623561373270011877
Composite cofactor 

c130

name 名前Erik Branger
date 日付February 26, 2015 15:55:55 UTC 2015 年 2 月 27 日 (金) 0 時 55 分 55 秒 (日本時間)
composite number 合成数
7790589986028638956051771793266563966694559879477780852195154790443151763869991568036210952128155977994306529433104289847890922417<130>
prime factors 素因数
34880908553969547581291809772643890322586791180064500046429<59>
223348252926801914936370941486205775706100943473676382191975352981743973<72>
factorization results 素因数分解の結果
Number: 99929_235
N = 7790589986028638956051771793266563966694559879477780852195154790443151763869991568036210952128155977994306529433104289847890922417 (130 digits)
Divisors found:
r1=34880908553969547581291809772643890322586791180064500046429 (pp59)
r2=223348252926801914936370941486205775706100943473676382191975352981743973 (pp72)
Version: Msieve v. 1.52 (SVN 958)
Total time: 49.98 hours.
Factorization parameters were as follows:
# Murphy_E = 7.63e-11, selected by Erik Branger
# expecting poly E from 8.44e-011 to > 9.70e-011
n: 7790589986028638956051771793266563966694559879477780852195154790443151763869991568036210952128155977994306529433104289847890922417
Y0: -20484513579827175758889664
Y1: 93277361931229
c0: 2820630712043242254369551206869
c1: -359557950045709825955527120
c2: -1461341337188950055939
c3: 2993502847698014
c4: -12759047376
c5: 2160
skew: 474782.51
type: gnfs
# selected mechanically
rlim: 9700000
alim: 9700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9700000/9700000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 17784023
Relations: 2319484 relations
Pruned matrix : 1370580 x 1370807
Polynomial selection time: 0.00 hours.
Total sieving time: 48.94 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.73 hours.
time per square root: 0.23 hours.
Prototype def-par.txt line would be: gnfs,129,5,65,2000,1e-05,0.28,250,20,50000,3600,9700000,9700000,28,28,53,53,2.5,2.5,100000
total time: 49.98 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:54 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 54 秒 (日本時間)
403e620802000Serge BatalovNovember 22, 2014 04:47:10 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 10 秒 (日本時間)
80Serge BatalovNovember 22, 2014 04:55:06 UTC 2014 年 11 月 22 日 (土) 13 時 55 分 6 秒 (日本時間)

10237-71

c230

composite cofactor 合成数の残り
17437002333785829356229186867070599475596104413258210774892188322345377251027636654789917513737349956120655477144649716517062708360189949636183049256375495522552696233975416651503740053912072555645702920176524539346220870637547547<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:54 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 54 秒 (日本時間)
403e60--
4511e6601 / 4434CypDecember 5, 2014 09:06:43 UTC 2014 年 12 月 5 日 (金) 18 時 6 分 43 秒 (日本時間)

10238-71

c237

composite cofactor 合成数の残り
322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645159<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:55 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 55 秒 (日本時間)
403e620802000Serge BatalovNovember 22, 2014 04:47:44 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 44 秒 (日本時間)
80Serge BatalovNovember 22, 2014 04:55:44 UTC 2014 年 11 月 22 日 (土) 13 時 55 分 44 秒 (日本時間)
4511e63000 / 39741000Serge BatalovDecember 18, 2014 00:18:59 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 59 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 01:48:48 UTC 2014 年 12 月 18 日 (木) 10 時 48 分 48 秒 (日本時間)
1000Serge BatalovDecember 21, 2014 10:24:54 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 54 秒 (日本時間)

10239-71

c221

composite cofactor 合成数の残り
22877383897041854527674251674011577532338024354837978956502519429473880571001917560567112290761409403362545555408858921260219019858496690556169015070961032721688338455715567881130573625662640933949938445139721007627345609<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:55 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 55 秒 (日本時間)
403e60--
4511e6601 / 4434CypDecember 3, 2014 17:28:33 UTC 2014 年 12 月 4 日 (木) 2 時 28 分 33 秒 (日本時間)

10240-71

c211

name 名前Serge Batalov
date 日付June 10, 2015 16:54:25 UTC 2015 年 6 月 11 日 (木) 1 時 54 分 25 秒 (日本時間)
composite number 合成数
5106745863570349718823477780916774799260142815860109960447910259008463811085785665207759029493281370983613119154900531782189902615580191124187619903720667446487969934708004007548432918178901629000593093458595747<211>
prime factors 素因数
334397959353045900534968578646911121<36>
composite cofactor 合成数の残り
15271462402014309311673823948289023101005701122567513171937703108888957369193736106954331761380034522033874389881268611199784394556575300273110597738852778375681749588343729907<176>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3275835781
Step 1 took 13893ms
Step 2 took 5024ms
********** Factor found in step 2: 334397959353045900534968578646911121
Found probable prime factor of 36 digits: 334397959353045900534968578646911121
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:55 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 55 秒 (日本時間)
403e60--
4511e6601 / 4434CypAugust 3, 2015 05:45:16 UTC 2015 年 8 月 3 日 (月) 14 時 45 分 16 秒 (日本時間)

10242-71

c215

name 名前Serge Batalov
date 日付November 18, 2014 06:40:10 UTC 2014 年 11 月 18 日 (火) 15 時 40 分 10 秒 (日本時間)
composite number 合成数
17420924003194884477880295708788997293556249143512477296821600204325482615712626513687887060697581474336313663513853121231808377942437264879716369800524258006787992606593138996881399145951085461490611264076297022677<215>
prime factors 素因数
639078891667638519631429646070499<33>
composite cofactor 合成数の残り
27259426387462141037221556019457436442577756290709615789405250541666866330296781750461979266887301533058943119590760183490460086306068343774189001027539361097498928853845329277998823<182>
factorization results 素因数分解の結果
Input number is 17420924003194884477880295708788997293556249143512477296821600204325482615712626513687887060697581474336313663513853121231808377942437264879716369800524258006787992606593138996881399145951085461490611264076297022677 (215 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=561845933
Step 1 took 6674ms
Step 2 took 4375ms
********** Factor found in step 2: 639078891667638519631429646070499
Found probable prime factor of 33 digits: 639078891667638519631429646070499
Composite cofactor 27259426387462141037221556019457436442577756290709615789405250541666866330296781750461979266887301533058943119590760183490460086306068343774189001027539361097498928853845329277998823 has 182 digits

c182

name 名前Cyp
date 日付January 29, 2015 20:22:32 UTC 2015 年 1 月 30 日 (金) 5 時 22 分 32 秒 (日本時間)
composite number 合成数
27259426387462141037221556019457436442577756290709615789405250541666866330296781750461979266887301533058943119590760183490460086306068343774189001027539361097498928853845329277998823<182>
prime factors 素因数
93326146824715498067772706929418957045870001<44>
292087772986712939576204803716298661901700947421033426744880185578255573396779987417183899387418601803685758584365044846618371940966988823<138>
factorization results 素因数分解の結果
Run 507 out of 601:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3883664398
Step 1 took 58642ms
Step 2 took 18620ms
********** Factor found in step 2: 93326146824715498067772706929418957045870001
Found probable prime factor of 44 digits: 93326146824715498067772706929418957045870001
Probable prime cofactor 292087772986712939576204803716298661901700947421033426744880185578255573396779987417183899387418601803685758584365044846618371940966988823 has 138 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:56 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 56 秒 (日本時間)
403e60 / 323--
4511e6507 / 4434CypJanuary 29, 2015 20:22:31 UTC 2015 年 1 月 30 日 (金) 5 時 22 分 31 秒 (日本時間)

10243-71

c235

composite cofactor 合成数の残り
7939907666337353702933547363601695834063043930818345877606688559162344187549702333258584395926544706456015940603265768186185816753965819126251431674525971037011252333925933635282199285187580596513988303039184659139247790139093605072121<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:56 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 56 秒 (日本時間)
403e60--
4511e6601 / 4434CypAugust 3, 2015 06:41:07 UTC 2015 年 8 月 3 日 (月) 15 時 41 分 7 秒 (日本時間)

10244-71

c244

name 名前Ordi
date 日付December 27, 2018 15:23:44 UTC 2018 年 12 月 28 日 (金) 0 時 23 分 44 秒 (日本時間)
composite number 合成数
9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999929<244>
prime factors 素因数
11545312107054243352663406604235364309473519952073781<53>
composite cofactor 合成数の残り
866152418165460426293973076510530802372522320343102759405690739762847462089223220718784319489448069729239521014667876204409107054291377381933909775171849048439124872077394166195211829349393909<192>
factorization results 素因数分解の結果
via yoyo@home
11545312107054243352663406604235364309473519952073781
software ソフトウェア
GMP-ECM 7.0.5-dev

c192

name 名前NFS@home + Dylan Delgado
date 日付January 17, 2020 23:29:08 UTC 2020 年 1 月 18 日 (土) 8 時 29 分 8 秒 (日本時間)
composite number 合成数
866152418165460426293973076510530802372522320343102759405690739762847462089223220718784319489448069729239521014667876204409107054291377381933909775171849048439124872077394166195211829349393909<192>
prime factors 素因数
5407777697339861522289785291714026523330442577719101105678061642464054885554991391398327813339<94>
160167903830723150873651671365877461124958925381039763105149856457827427553471804938782258210443631<99>
factorization results 素因数分解の結果
p94 factor: 5407777697339861522289785291714026523330442577719101105678061642464054885554991391398327813339
p99 factor: 160167903830723150873651671365877461124958925381039763105149856457827427553471804938782258210443631
Full post-processing log at: https://pastebin.com/c91FVscj
software ソフトウェア
GGNFS-lasieve4I14e + Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:57 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 57 秒 (日本時間)
403e62400Youcef LemsaferNovember 18, 2014 20:42:52 UTC 2014 年 11 月 19 日 (水) 5 時 42 分 52 秒 (日本時間)
4511e64000Serge BatalovNovember 19, 2014 00:36:32 UTC 2014 年 11 月 19 日 (水) 9 時 36 分 32 秒 (日本時間)
5043e6500Serge BatalovJanuary 11, 2015 01:24:54 UTC 2015 年 1 月 11 日 (日) 10 時 24 分 54 秒 (日本時間)
5511e717500yoyo@homeJanuary 20, 2019 12:34:18 UTC 2019 年 1 月 20 日 (日) 21 時 34 分 18 秒 (日本時間)

10245-71

c244

name 名前Serge Batalov
date 日付November 19, 2014 01:02:51 UTC 2014 年 11 月 19 日 (水) 10 時 2 分 51 秒 (日本時間)
composite number 合成数
5263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157891<244>
prime factors 素因数
185484756804049828283559319645831396969205981<45>
28375150526773247051585095379420089556001817799240381197723800890412878571216986228203680717990616195429651613544386151023390923499399840751646444699073863971379841686228398535116733678796846092774111<200>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1686567942
Step 1 took 91347ms
Step 2 took 27951ms
********** Factor found in step 2: 185484756804049828283559319645831396969205981
Found probable prime factor of 45 digits: 185484756804049828283559319645831396969205981
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:57 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 57 秒 (日本時間)
403e62100Serge BatalovNovember 19, 2014 00:24:56 UTC 2014 年 11 月 19 日 (水) 9 時 24 分 56 秒 (日本時間)
4511e64440Serge BatalovNovember 19, 2014 00:30:32 UTC 2014 年 11 月 19 日 (水) 9 時 30 分 32 秒 (日本時間)

10246-71

c237

composite cofactor 合成数の残り
526951680648703318432838345505294475082413438043950977194030284765694700269312304444048632301049446983629328617772022020406485225318502413883708065369028374816154397027917061660644389723592148899062802366356407827788594845735008784703443<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:58 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 58 秒 (日本時間)
403e60--
4511e6601 / 4434345CypJanuary 1, 2015 09:38:12 UTC 2015 年 1 月 1 日 (木) 18 時 38 分 12 秒 (日本時間)
256CypJuly 3, 2015 15:20:50 UTC 2015 年 7 月 4 日 (土) 0 時 20 分 50 秒 (日本時間)

10247-71

c227

composite cofactor 合成数の残り
66499390395753198561706102441525884962241701636772482550994401874613120561311811215850046463265342990347749007457124721022632790969386504097549573942063477803060456202412023442383711229629522639100183566497065210911712442776763<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:58 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 58 秒 (日本時間)
403e60--
4511e6601 / 4434CypDecember 1, 2014 11:40:14 UTC 2014 年 12 月 1 日 (月) 20 時 40 分 14 秒 (日本時間)

10248-71

c241

composite cofactor 合成数の残り
2453391149622046506531700058506018745036943041261451295193029012895980704961829036468162870530451871224737032656279973539685773096304017754308529000886631027561911386995491084143490114268900845681475883569808754970478466966155395489229379781<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:58 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 58 秒 (日本時間)
403e60--
4511e6601 / 4434CypDecember 2, 2014 12:29:29 UTC 2014 年 12 月 2 日 (火) 21 時 29 分 29 秒 (日本時間)

10249-71

c210

composite cofactor 合成数の残り
189902267703290031521877995332200803454574871392682501959687992441413503515825713862247185923783223005517825643296724517887514387122017598241835554481546538520420887199226284900834626419421238457502334211964139<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:59 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 59 秒 (日本時間)
403e60--
4511e6601 / 4434CypFebruary 8, 2015 00:17:56 UTC 2015 年 2 月 8 日 (日) 9 時 17 分 56 秒 (日本時間)

10250-71

c204

name 名前Serge Batalov
date 日付November 17, 2014 22:00:33 UTC 2014 年 11 月 18 日 (火) 7 時 0 分 33 秒 (日本時間)
composite number 合成数
216326870357923150468135603802715366432313312892910751423857714058226525320445031432581723175785691119120117110375573484177739088885496457825287510736137712510502504780987290549965293480670117540262952127<204>
prime factors 素因数
649204352913494093509452471289219<33>
333218453306871950118955451095469197364223807600538878610021907646609405407699497317903212688835712280426828895942996950290362385483680623770571077883072636743090267194133<171>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=416966934
Step 1 took 5353ms
Step 2 took 3277ms
********** Factor found in step 2: 649204352913494093509452471289219
Found probable prime factor of 33 digits: 649204352913494093509452471289219

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:59 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 59 秒 (日本時間)

10251-71

c240

composite cofactor 合成数の残り
288350727053538621484707607493864762784346144199193620934007300729122851714518909359020494061866933628158087073684567521756219961488128278893226989472662311211635433822924373724212845052715182183127574310979183594402007163775480215942918659<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e623601000Erik BrangerMay 3, 2018 00:00:00 UTC 2018 年 5 月 3 日 (木) 9 時 0 分 0 秒 (日本時間)
1360ebinaJune 2, 2023 08:25:06 UTC 2023 年 6 月 2 日 (金) 17 時 25 分 6 秒 (日本時間)

10253-71

c216

composite cofactor 合成数の残り
418263954619816915692916211641489796356409050024742945866094530731844483514007261871272030827804374374657378224914078079932103476470825553040006295321046511763378429788531696597117933316426137015203339697958417604237<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e623601000Erik BrangerMay 3, 2018 00:00:00 UTC 2018 年 5 月 3 日 (木) 9 時 0 分 0 秒 (日本時間)
1360ebinaJune 2, 2023 13:07:16 UTC 2023 年 6 月 2 日 (金) 22 時 7 分 16 秒 (日本時間)

10254-71

c244

composite cofactor 合成数の残り
1986544658600702077807340659762333351768024103507427791921411016513773249958702155165813250157165118120794350257598556457426596499290529284591259652290406913976656906864603542799997525265964637492587975660987782392751701687509103828843069486069<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e623601000Erik BrangerMay 3, 2018 00:00:00 UTC 2018 年 5 月 3 日 (木) 9 時 0 分 0 秒 (日本時間)
1360ebinaJune 2, 2023 19:55:53 UTC 2023 年 6 月 3 日 (土) 4 時 55 分 53 秒 (日本時間)

10255-71

c251

composite cofactor 合成数の残り
85785365016728146178261988504761087758428412112893540362014240370592776872265591490091790340567899116410740327700094363901518400960796088187355237196534271253324182894398215664407652054559492150639100969374624689028051814360470103800291670241056875697<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e623601000Erik BrangerMay 3, 2018 00:00:00 UTC 2018 年 5 月 3 日 (木) 9 時 0 分 0 秒 (日本時間)
1360ebinaJune 3, 2023 00:20:12 UTC 2023 年 6 月 3 日 (土) 9 時 20 分 12 秒 (日本時間)

10257-71

c227

composite cofactor 合成数の残り
40716229152070773613064821024755767489520646951582507531520626219183054805013665902379297829610372914503231945777561465607730470651460545848581574909809949389614704069082527365423883521888397964293438221938409927937719011140351<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e623601000Erik BrangerMay 3, 2018 00:00:00 UTC 2018 年 5 月 3 日 (木) 9 時 0 分 0 秒 (日本時間)
1360ebinaJune 3, 2023 03:43:35 UTC 2023 年 6 月 3 日 (土) 12 時 43 分 35 秒 (日本時間)

10258-71

c256

composite cofactor 合成数の残り
1310615989515072083879423328964613368283093053735255570117955439056356487549148099606815203145478374836173001310615989515072083879423328964613368283093053735255570117955439056356487549148099606815203145478374836173001310615989515072083879423328964613368283<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e623601000Erik BrangerMay 3, 2018 00:00:00 UTC 2018 年 5 月 3 日 (木) 9 時 0 分 0 秒 (日本時間)
1360ebinaJune 3, 2023 05:36:38 UTC 2023 年 6 月 3 日 (土) 14 時 36 分 38 秒 (日本時間)

10259-71

c257

name 名前ebina
date 日付June 3, 2023 07:01:28 UTC 2023 年 6 月 3 日 (土) 16 時 1 分 28 秒 (日本時間)
composite number 合成数
88495575221238938053097345132743362831858407079646017699115044247787610619469026548672566371681415929203539823008849557522123893805309734513274336283185840707964601769911504424778761061946902654867256637168141592920353982300884955752212389380530973451327433<257>
prime factors 素因数
178551663951795784911387850579152887297<39>
495630078502827041486621734996191862974772164231916071355938116065449182314684682477583516210323166468448939438946836326733974749874631661160249803351022632983694464571357215019352632049433055148078272881630507852614089<219>
factorization results 素因数分解の結果
Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:835838718 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 88495575221238938053097345132743362831858407079646017699115044247787610619469026548672566371681415929203539823008849557522123893805309734513274336283185840707964601769911504424778761061946902654867256637168141592920353982300884955752212389380530973451327433 (257 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:835838718
Step 1 took 7625ms
Step 2 took 5375ms
********** Factor found in step 2: 178551663951795784911387850579152887297
Found probable prime factor of 39 digits: 178551663951795784911387850579152887297
Probable prime cofactor 495630078502827041486621734996191862974772164231916071355938116065449182314684682477583516210323166468448939438946836326733974749874631661160249803351022632983694464571357215019352632049433055148078272881630507852614089 has 219 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e60--
403e61000 / 2350Erik BrangerMay 3, 2018 00:00:00 UTC 2018 年 5 月 3 日 (木) 9 時 0 分 0 秒 (日本時間)

10260-71

c210

composite cofactor 合成数の残り
384890956555481754486093255023411906768317727843225130572896014664351435267635244605813040147253590972667181788592525519943558337845942506996154598159733553804220774813621800449345471915785935344168933688280737<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e633501000Erik BrangerMay 3, 2018 00:00:00 UTC 2018 年 5 月 3 日 (木) 9 時 0 分 0 秒 (日本時間)
2350Ignacio SantosSeptember 9, 2023 15:23:40 UTC 2023 年 9 月 10 日 (日) 0 時 23 分 40 秒 (日本時間)

10261-71

c232

composite cofactor 合成数の残り
1606364242936248032943177516856382370542042782194169254797464728431936085915022310949294211350873422858471931784484457639802145516732395451328438397517339303433112594979309887252568572583279983917062318412819440804484511226690155247<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e633501000Erik BrangerMay 3, 2018 00:00:00 UTC 2018 年 5 月 3 日 (木) 9 時 0 分 0 秒 (日本時間)
2350Ignacio SantosSeptember 9, 2023 15:38:27 UTC 2023 年 9 月 10 日 (日) 0 時 38 分 27 秒 (日本時間)

10262-71

c250

composite cofactor 合成数の残り
6600949457952934784376926207963716157537701003694644980734919027461627619963982439846755964433390267679400595220979150211516723029712385043839972570543895416559347274938073150430640385066467583728602981420185940186396516976744092892224262297545200021<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e633501000Erik BrangerMay 3, 2018 00:00:00 UTC 2018 年 5 月 3 日 (木) 9 時 0 分 0 秒 (日本時間)
2350Ignacio SantosSeptember 9, 2023 15:54:33 UTC 2023 年 9 月 10 日 (日) 0 時 54 分 33 秒 (日本時間)

10263-71

c206

composite cofactor 合成数の残り
88366296125212245394229470845748774665360229366467901294741278880165592112175229332120791309864308315070933684692373935548857437975957371838279810744837067828506580353726336751773973661403288222045271989287<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e633501000Erik BrangerMay 3, 2018 00:00:00 UTC 2018 年 5 月 3 日 (木) 9 時 0 分 0 秒 (日本時間)
2350Ignacio SantosSeptember 10, 2023 06:08:57 UTC 2023 年 9 月 10 日 (日) 15 時 8 分 57 秒 (日本時間)

10264-71

c253

composite cofactor 合成数の残り
3864334197793991310662195848675613711827852622439511680742859739178085926917093458321078436790620235728097449283715255528532955349421454420123675025855881122863147213942959228630672485025374380096826900742385658871653046224989935685410980798351757177081<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e633501000Erik BrangerMay 3, 2018 00:00:00 UTC 2018 年 5 月 3 日 (木) 9 時 0 分 0 秒 (日本時間)
2350Ignacio SantosSeptember 10, 2023 06:22:29 UTC 2023 年 9 月 10 日 (日) 15 時 22 分 29 秒 (日本時間)

10266-71

c264

composite cofactor 合成数の残り
636942675159235668789808917197452229299363057324840764331210191082802547770700636942675159235668789808917197452229299363057324840764331210191082802547770700636942675159235668789808917197452229299363057324840764331210191082802547770700636942675159235668789808917197<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e633501000Erik BrangerMay 3, 2018 00:00:00 UTC 2018 年 5 月 3 日 (木) 9 時 0 分 0 秒 (日本時間)
2350Ignacio SantosSeptember 10, 2023 06:46:12 UTC 2023 年 9 月 10 日 (日) 15 時 46 分 12 秒 (日本時間)

10268-71

c206

composite cofactor 合成数の残り
65924734782361298358279995681634387277491286037037884164318979310514182127285217843888831899479544619099356350180736194877099297016471866691733239741346030690900186947440556435562457437057676193792263618351<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e633501000Erik BrangerMay 3, 2018 00:00:00 UTC 2018 年 5 月 3 日 (木) 9 時 0 分 0 秒 (日本時間)
2350Ignacio SantosSeptember 10, 2023 06:46:26 UTC 2023 年 9 月 10 日 (日) 15 時 46 分 26 秒 (日本時間)

10269-71

c227

composite cofactor 合成数の残り
14698314027681288224649414633734954460474431725331342103538638117593902472921898409742187618935124634319327231250184611068867122418386465363522571412681085849808092703885658877664621508688297762670574199970456989267637498946529<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e633501000Erik BrangerMay 3, 2018 00:00:00 UTC 2018 年 5 月 3 日 (木) 9 時 0 分 0 秒 (日本時間)
2350Ignacio SantosSeptember 10, 2023 06:59:02 UTC 2023 年 9 月 10 日 (日) 15 時 59 分 2 秒 (日本時間)

10270-71

c244

name 名前Ignacio Santos
date 日付September 10, 2023 07:09:35 UTC 2023 年 9 月 10 日 (日) 16 時 9 分 35 秒 (日本時間)
composite number 合成数
2684593214381697861309267015432723793213750803204147400212695900988986367009032125301318573800426999664418089309649706017570567657618210402268149325867585985839050095799350356636937080419475189463243139576159576808007922968487615317125436345273<244>
prime factors 素因数
4330066502441363208276688926383482627361099<43>
composite cofactor 合成数の残り
619988910763398147587795134039566679432607766337436397133556227938495751862567526095952984053518816072552218155575679660993068162606312663319357871356148215090842643429256142659297579232188193055244427<201>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3255319595
Step 1 took 11656ms
Step 2 took 4750ms
********** Factor found in step 2: 4330066502441363208276688926383482627361099
Found prime factor of 43 digits: 4330066502441363208276688926383482627361099
Composite cofactor 619988910763398147587795134039566679432607766337436397133556227938495751862567526095952984053518816072552218155575679660993068162606312663319357871356148215090842643429256142659297579232188193055244427 has 201 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e633501000Erik BrangerMay 3, 2018 00:00:00 UTC 2018 年 5 月 3 日 (木) 9 時 0 分 0 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 06:50:34 UTC 2023 年 9 月 13 日 (水) 15 時 50 分 34 秒 (日本時間)

10271-71

c233

composite cofactor 合成数の残り
17045934278883837733240511878194978451936479599067783354352292275109913228590090674433059294522256285788040965167418929377621864857534723884377613706526449204602966446992061934265971521885012195501421401628125562058616481469005458327<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e633501000Erik BrangerMay 3, 2018 00:00:00 UTC 2018 年 5 月 3 日 (木) 9 時 0 分 0 秒 (日本時間)
2350Ignacio SantosSeptember 10, 2023 07:39:09 UTC 2023 年 9 月 10 日 (日) 16 時 39 分 9 秒 (日本時間)

10272-71

c271

composite cofactor 合成数の残り
4347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347823<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e633501000Erik BrangerMay 3, 2018 00:00:00 UTC 2018 年 5 月 3 日 (木) 9 時 0 分 0 秒 (日本時間)
2350Ignacio SantosSeptember 10, 2023 07:43:45 UTC 2023 年 9 月 10 日 (日) 16 時 43 分 45 秒 (日本時間)

10273-71

c236

composite cofactor 合成数の残り
24230855672491574270952957188076224751710313029657273985577607240581727835276569796757506079693011573421085041416507965912971044796727288977589118597054712000207033453346020753077799163814623345344153599512666599936234176336739181942213<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e633501000Erik BrangerMay 3, 2018 00:00:00 UTC 2018 年 5 月 3 日 (木) 9 時 0 分 0 秒 (日本時間)
2350Ignacio SantosSeptember 10, 2023 07:55:41 UTC 2023 年 9 月 10 日 (日) 16 時 55 分 41 秒 (日本時間)

10275-71

c209

composite cofactor 合成数の残り
75832799572990858319649041551061953571742409158449277189061035885661101579079069999957828991624577132561128095352426395443819712103843313281466845925427858361972760743746668932611727824866387889866590620926899<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e633501000Erik BrangerMay 3, 2018 00:00:00 UTC 2018 年 5 月 3 日 (木) 9 時 0 分 0 秒 (日本時間)
2350Ignacio SantosSeptember 11, 2023 06:34:39 UTC 2023 年 9 月 11 日 (月) 15 時 34 分 39 秒 (日本時間)

10277-71

c255

composite cofactor 合成数の残り
201630069535791240072563878663678316265221846947712398335311050823364828845418614939784127721560138906423507774016864299972193514972263350744374919313939246724606302127851669725955939091067493232693969788849223896831584822041806318991320069442866293273213<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e633501000Erik BrangerMay 3, 2018 00:00:00 UTC 2018 年 5 月 3 日 (木) 9 時 0 分 0 秒 (日本時間)
2350Ignacio SantosSeptember 11, 2023 07:01:32 UTC 2023 年 9 月 11 日 (月) 16 時 1 分 32 秒 (日本時間)

10279-71

c273

composite cofactor 合成数の残り
424811182049858389192463679705962692232370017336544339454720862944442768800337470003020407504374493147158416762709394741772150823262830253523065335534988086170399411721475097356102646276296343182863796613999992353398723102548994535653765292671539817339687942201889815024467<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e633501000Erik BrangerMay 3, 2018 00:00:00 UTC 2018 年 5 月 3 日 (木) 9 時 0 分 0 秒 (日本時間)
2350Ignacio SantosSeptember 11, 2023 07:01:55 UTC 2023 年 9 月 11 日 (月) 16 時 1 分 55 秒 (日本時間)

10281-71

c265

composite cofactor 合成数の残り
1136895358583147910140711573292923055235651804211810919279662750197730698244594988055182562256895902391288357719230606733047978917306410750248977908944785335498903184072458089136818930599030140080655058732081519493828434979247957623670832704027530081507828629076679<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e633501000Erik BrangerMay 3, 2018 00:00:00 UTC 2018 年 5 月 3 日 (木) 9 時 0 分 0 秒 (日本時間)
2350Ignacio SantosSeptember 11, 2023 07:23:00 UTC 2023 年 9 月 11 日 (月) 16 時 23 分 0 秒 (日本時間)

10282-71

c265

name 名前Ignacio Santos
date 日付September 11, 2023 07:34:55 UTC 2023 年 9 月 11 日 (月) 16 時 34 分 55 秒 (日本時間)
composite number 合成数
1090531436520444865162258132298244017440079802152085033132518069911840518145198211669645405496930301745102305043757882615486439671269188674837473309307008956460538374597473648960334231197456691096777865202645052190765181450095437023598765222662101295456721744751191<265>
prime factors 素因数
261228453500943578845760176673948177077<39>
composite cofactor 合成数の残り
4174627311478938013703832329355475365274785533468374365704273674232081305626750606582607922160553504317683315575361601281608186976258323229018966933732300652428360826148934470415064136859469688969638763446388600924458579899483<226>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3986020828
Step 1 took 12593ms
Step 2 took 4532ms
********** Factor found in step 2: 261228453500943578845760176673948177077
Found prime factor of 39 digits: 261228453500943578845760176673948177077
Composite cofactor 4174627311478938013703832329355475365274785533468374365704273674232081305626750606582607922160553504317683315575361601281608186976258323229018966933732300652428360826148934470415064136859469688969638763446388600924458579899483 has 226 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e633501000Erik BrangerMay 3, 2018 00:00:00 UTC 2018 年 5 月 3 日 (木) 9 時 0 分 0 秒 (日本時間)
2350Ignacio SantosSeptember 11, 2023 07:27:42 UTC 2023 年 9 月 11 日 (月) 16 時 27 分 42 秒 (日本時間)

10283-71

c186

composite cofactor 合成数の残り
456975429991647467732779045700232926836317019739599206790385227846693412723517859702245373801948937254927416572834368350797281280822208262731081317150723811502676784589569677072509740919<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e61000Erik BrangerMay 3, 2018 00:00:00 UTC 2018 年 5 月 3 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e60--
5043e63092 / 75161300Erik BrangerMay 12, 2018 18:44:33 UTC 2018 年 5 月 13 日 (日) 3 時 44 分 33 秒 (日本時間)
1792Dmitry DomanovApril 15, 2024 21:42:19 UTC 2024 年 4 月 16 日 (火) 6 時 42 分 19 秒 (日本時間)

10284-71

c258

composite cofactor 合成数の残り
339298366721807829922286233220420868696388061107585031532310740326127420446897812630084081931412100435447411469865503567516713811176374690881726439109713330780809863294364876317447343701773743247383186658126257598556633432438670751041516464205029910607459929<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e633501000Erik BrangerMay 3, 2018 00:00:00 UTC 2018 年 5 月 3 日 (木) 9 時 0 分 0 秒 (日本時間)
2350Ignacio SantosSeptember 9, 2023 13:52:53 UTC 2023 年 9 月 9 日 (土) 22 時 52 分 53 秒 (日本時間)

10287-71

c276

composite cofactor 合成数の残り
138518739643609350810428537980215291319943165583654017851970180912545674805719596080049843010697808962827386724473694688640409051652851823676519080052500571673553205080014757919111767727098213652178608691799303596310880595735574790980279785682521289801165878098069474406842369<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e633501000Erik BrangerMay 3, 2018 00:00:00 UTC 2018 年 5 月 3 日 (木) 9 時 0 分 0 秒 (日本時間)
2350Ignacio SantosSeptember 9, 2023 14:07:35 UTC 2023 年 9 月 9 日 (土) 23 時 7 分 35 秒 (日本時間)

10288-71

c280

composite cofactor 合成数の残り
3888517433940436802062886496030926094639336138927177715874049224921068053950737406975046034310854639709592141533355424519344540146864092866568817828600458687183397153560909256853339910423567999307346166527057873322142154235003196614084332245179687826787359663259989685863047170349<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e633501000Erik BrangerMay 3, 2018 00:00:00 UTC 2018 年 5 月 3 日 (木) 9 時 0 分 0 秒 (日本時間)
2350Ignacio SantosSeptember 9, 2023 14:27:56 UTC 2023 年 9 月 9 日 (土) 23 時 27 分 56 秒 (日本時間)

10289-71

c235

composite cofactor 合成数の残り
2061932719612711316407704583960700605095973982149604996772765886061482431488194030566359516284577601921886137706815342478429033796754052201430358802818492971030329750744374473462179961991234877494796090060345160375728229476132423332839<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e633501000Erik BrangerMay 3, 2018 00:00:00 UTC 2018 年 5 月 3 日 (木) 9 時 0 分 0 秒 (日本時間)
2350Ignacio SantosSeptember 9, 2023 14:38:36 UTC 2023 年 9 月 9 日 (土) 23 時 38 分 36 秒 (日本時間)

10291-71

c289

composite cofactor 合成数の残り
6711409395973154362416107382550335570469798657718120805369127516778523489932885906040268456375838926174496644295302013422818791946308724832214765100671140939597315436241610738255033557046979865771812080536912751677852348993288590604026845637583892617449664429530201342281879194630872483221<289>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e61000Erik BrangerMay 3, 2018 00:00:00 UTC 2018 年 5 月 3 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e61680Serge BatalovMay 13, 2018 01:33:43 UTC 2018 年 5 月 13 日 (日) 10 時 33 分 43 秒 (日本時間)
5043e63300 / 7139Serge BatalovMay 13, 2018 01:33:43 UTC 2018 年 5 月 13 日 (日) 10 時 33 分 43 秒 (日本時間)

10292-71

c208

composite cofactor 合成数の残り
3432175301290124616984318370326171621517189099637246768158304943079127941101184447343867961650593672308997632244902277219425141294448084128188630091314159898084494206117811496450320910627016242878925780147523<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e623501000Erik BrangerMay 3, 2018 00:00:00 UTC 2018 年 5 月 3 日 (木) 9 時 0 分 0 秒 (日本時間)
1350ebinaOctober 25, 2021 21:40:44 UTC 2021 年 10 月 26 日 (火) 6 時 40 分 44 秒 (日本時間)

10295-71

c273

composite cofactor 合成数の残り
387519097776366265901621710554291497932052621933324907355235977712763326582735352733710377798287268161078395478681482248643440563869640988258313804961721054949142770141739230937128681765194595517472911733123087729229978046022205076009182963394719867734432293369037327487211<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e623501000Erik BrangerMay 3, 2018 00:00:00 UTC 2018 年 5 月 3 日 (木) 9 時 0 分 0 秒 (日本時間)
1350ebinaOctober 26, 2021 03:24:01 UTC 2021 年 10 月 26 日 (火) 12 時 24 分 1 秒 (日本時間)

10297-71

c285

composite cofactor 合成数の残り
197814324956480513219238843981209560544774319629474765302663137664423790832375003260162633177943069806693353858472716551068546093972183711917203952876128023504481808613917362595884624854323716572506769896707013138062151438656732996600384003551904606482704566184294622417283114843420083<285>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e623501000Erik BrangerMay 3, 2018 00:00:00 UTC 2018 年 5 月 3 日 (木) 9 時 0 分 0 秒 (日本時間)
1350ebinaOctober 26, 2021 03:24:53 UTC 2021 年 10 月 26 日 (火) 12 時 24 分 53 秒 (日本時間)

10299-71

c260

composite cofactor 合成数の残り
16104300512918406551177403561009192948842042093716013594124798111400005709436353322458920840969345889922365294719334581000064951066468734687600627494463887517021714495409955445513994132396532449448043576971268929182806152839225281596200682703627461912372487359<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e623501000Erik BrangerMay 3, 2018 00:00:00 UTC 2018 年 5 月 3 日 (木) 9 時 0 分 0 秒 (日本時間)
1350ebinaOctober 25, 2021 22:01:56 UTC 2021 年 10 月 26 日 (火) 7 時 1 分 56 秒 (日本時間)