Table of contents 目次

673×10102-79

c101

name 名前KTakahashi
date 日付January 8, 2015 13:29:42 UTC 2015 年 1 月 8 日 (木) 22 時 29 分 42 秒 (日本時間)
composite number 合成数
14539719575690798712381446194395834683604467777129647633244755546913820295115259144036122453388640439<101>
prime factors 素因数
327778557094967005403752780350197614098174091729<48>
44358361036650173550285879070697068800987769574953991<53>
factorization results 素因数分解の結果
Number: 74777_102
N=14539719575690798712381446194395834683604467777129647633244755546913820295115259144036122453388640439
  ( 101 digits)
SNFS difficulty: 106 digits.
Divisors found:
 r1=327778557094967005403752780350197614098174091729 (pp48)
 r2=44358361036650173550285879070697068800987769574953991 (pp53)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 0.61 hours.
Scaled time: 1.03 units (timescale=1.700).
Factorization parameters were as follows:
n: 14539719575690798712381446194395834683604467777129647633244755546913820295115259144036122453388640439
m: 100000000000000000000000000
c4: 673
c0: -700
skew: 1.01
type: snfs
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [225000, 385001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 46323 x 46548
Total sieving time: 0.59 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,106.000,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 0.61 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

673×10107-79

c109

name 名前KTakahashi
date 日付January 8, 2015 13:34:12 UTC 2015 年 1 月 8 日 (木) 22 時 34 分 12 秒 (日本時間)
composite number 合成数
7477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<109>
prime factors 素因数
22646895053898106369626448425680537315790377<44>
330189977918878646530636903735544506907615360500725512119196456201<66>
factorization results 素因数分解の結果
Number: 74777_107
N=7477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
  ( 109 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=22646895053898106369626448425680537315790377 (pp44)
 r2=330189977918878646530636903735544506907615360500725512119196456201 (pp66)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.84 hours.
Scaled time: 3.12 units (timescale=1.697).
Factorization parameters were as follows:
n: 7477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
m: 5000000000000000000000
c5: 2692
c0: -875
skew: 0.80
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 80415 x 80644
Total sieving time: 1.79 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,111.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.84 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

673×10109-79

c102

name 名前KTakahashi
date 日付January 8, 2015 13:36:30 UTC 2015 年 1 月 8 日 (木) 22 時 36 分 30 秒 (日本時間)
composite number 合成数
344988132038408046273295263448015348780556073469629543691189273054544723796933750680332166980796635519<102>
prime factors 素因数
7728980909397352851722866991299<31>
44635655862333808894115929134375665649454577073133764935963916883269781<71>
factorization results 素因数分解の結果
Input number is 344988132038408046273295263448015348780556073469629543691189273054544723796933750680332166980796635519 (102 digits)
Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=1767699701
Step 1 took 749ms
Step 2 took 453ms
********** Factor found in step 2: 7728980909397352851722866991299
Found probable prime factor of 31 digits: 7728980909397352851722866991299
Probable prime cofactor 44635655862333808894115929134375665649454577073133764935963916883269781 has 71 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

673×10111-79

c106

name 名前KTakahashi
date 日付January 8, 2015 13:39:46 UTC 2015 年 1 月 8 日 (木) 22 時 39 分 46 秒 (日本時間)
composite number 合成数
2627490494487034972199100891492689023315675230759157471006276817117670334655109409621664832713438831878787<106>
prime factors 素因数
11985218453498011249488906173750017<35>
219227584768817827803505187321346044140281434141083470583417369157095811<72>
factorization results 素因数分解の結果
Input number is 2627490494487034972199100891492689023315675230759157471006276817117670334655109409621664832713438831878787 (106 digits)
Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=3108813813
Step 1 took 686ms
Step 2 took 437ms
********** Factor found in step 2: 11985218453498011249488906173750017
Found probable prime factor of 35 digits: 11985218453498011249488906173750017
Probable prime cofactor 219227584768817827803505187321346044140281434141083470583417369157095811 has 72 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

673×10120-79

c120

name 名前KTakahashi
date 日付January 8, 2015 14:05:34 UTC 2015 年 1 月 8 日 (木) 23 時 5 分 34 秒 (日本時間)
composite number 合成数
118883589471824765942413001236530648295354177707118883589471824765942413001236530648295354177707118883589471824765942413<120>
prime factors 素因数
95928775095972817985537736357554556910440027784468351570021<59>
1239290185378543555359846103354773345398268785060962067225353<61>
factorization results 素因数分解の結果
Number: 74777_120
N=118883589471824765942413001236530648295354177707118883589471824765942413001236530648295354177707118883589471824765942413
  ( 120 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=95928775095972817985537736357554556910440027784468351570021 (pp59)
 r2=1239290185378543555359846103354773345398268785060962067225353 (pp61)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.11 hours.
Scaled time: 3.66 units (timescale=1.733).
Factorization parameters were as follows:
n: 118883589471824765942413001236530648295354177707118883589471824765942413001236530648295354177707118883589471824765942413
m: 1000000000000000000000000
c5: 673
c0: -7
skew: 0.40
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 122379 x 122604
Total sieving time: 2.03 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,122.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.11 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
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

673×10122-79

c98

name 名前KTakahashi
date 日付January 8, 2015 14:16:19 UTC 2015 年 1 月 8 日 (木) 23 時 16 分 19 秒 (日本時間)
composite number 合成数
34412305793221278120927377199507769614921823902451650373696422242525441788478724685574667607072829<98>
prime factors 素因数
218075344706193898374893719491061<33>
157800075196872452732651176140716989821543515167325069878329704489<66>
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 34412305793221278120927377199507769614921823902451650373696422242525441788478724685574667607072829 (98 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2634092613
Step 1 took 2605ms
Step 2 took 1592ms
********** Factor found in step 2: 218075344706193898374893719491061
Found probable prime factor of 33 digits: 218075344706193898374893719491061
Probable prime cofactor 157800075196872452732651176140716989821543515167325069878329704489 has 66 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

673×10123-79

c117

name 名前KTakahashi
date 日付January 8, 2015 14:18:40 UTC 2015 年 1 月 8 日 (木) 23 時 18 分 40 秒 (日本時間)
composite number 合成数
259313274895133316690198922522980424299469590031519004542621051402518792449407302886561825431120967296589202520665747<117>
prime factors 素因数
117652281540617094350883804802101208333202826482429<51>
2204064991341545730937648355515786838296143534627961445708678849743<67>
factorization results 素因数分解の結果
Number: 74777_123
N=259313274895133316690198922522980424299469590031519004542621051402518792449407302886561825431120967296589202520665747
  ( 117 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=117652281540617094350883804802101208333202826482429 (pp51)
 r2=2204064991341545730937648355515786838296143534627961445708678849743 (pp67)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 3.15 hours.
Scaled time: 6.51 units (timescale=2.068).
Factorization parameters were as follows:
n: 259313274895133316690198922522980424299469590031519004542621051402518792449407302886561825431120967296589202520665747
m: 10000000000000000000000000
c5: 673
c0: -700
skew: 1.01
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [400000, 1000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 122863 x 123088
Total sieving time: 3.09 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,127.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 3.15 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 14:18:05 UTC 2015 年 1 月 8 日 (木) 23 時 18 分 5 秒 (日本時間)

673×10124-79

c102

name 名前KTakahashi
date 日付January 8, 2015 14:33:30 UTC 2015 年 1 月 8 日 (木) 23 時 33 分 30 秒 (日本時間)
composite number 合成数
809748397574269687672158839041611874200197871826005356384039305551444453509246134756287541595320171561<102>
prime factors 素因数
258651792318868078106199497000342199763<39>
3130650633868429323809121543140625070933312008747647012367692947<64>
factorization results 素因数分解の結果
Number: 74777_124
N=809748397574269687672158839041611874200197871826005356384039305551444453509246134756287541595320171561
  ( 102 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=258651792318868078106199497000342199763 (pp39)
 r2=3130650633868429323809121543140625070933312008747647012367692947 (pp64)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 3.39 hours.
Scaled time: 7.02 units (timescale=2.068).
Factorization parameters were as follows:
n: 809748397574269687672158839041611874200197871826005356384039305551444453509246134756287541595320171561
m: 10000000000000000000000000
c5: 673
c0: -70
skew: 0.64
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [400000, 950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 116746 x 116993
Total sieving time: 3.33 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,127.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 3.39 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
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 14:32:59 UTC 2015 年 1 月 8 日 (木) 23 時 32 分 59 秒 (日本時間)

673×10127-79

c124

name 名前KTakahashi
date 日付January 8, 2015 14:48:38 UTC 2015 年 1 月 8 日 (木) 23 時 48 分 38 秒 (日本時間)
composite number 合成数
3772026138515749750446561935492187758345958131070341841970600615294248865169402086216299076273955588735934069691125425754139<124>
prime factors 素因数
32999653093633338598500742287355745817633013<44>
114305023989585246115162980690650594745448818962119864782439796316172189526442703<81>
factorization results 素因数分解の結果
Number: 74777_127
N=3772026138515749750446561935492187758345958131070341841970600615294248865169402086216299076273955588735934069691125425754139
  ( 124 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=32999653093633338598500742287355745817633013 (pp44)
 r2=114305023989585246115162980690650594745448818962119864782439796316172189526442703 (pp81)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 4.56 hours.
Scaled time: 7.74 units (timescale=1.696).
Factorization parameters were as follows:
n: 3772026138515749750446561935492187758345958131070341841970600615294248865169402086216299076273955588735934069691125425754139
m: 50000000000000000000000000
c5: 2692
c0: -875
skew: 0.80
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [400000, 1300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 133819 x 134057
Total sieving time: 4.44 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,131.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 4.56 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 14:47:56 UTC 2015 年 1 月 8 日 (木) 23 時 47 分 56 秒 (日本時間)

673×10134-79

c127

name 名前KTakahashi
date 日付January 8, 2015 16:20:06 UTC 2015 年 1 月 9 日 (金) 1 時 20 分 6 秒 (日本時間)
composite number 合成数
1965740569391010318053749335344521591019651103728263296401738201781448991126468225348379407125918693313071521707847468681345659<127>
prime factors 素因数
5179154939152698489531633174853501<34>
379548515633440838641137524585646937824610094532634014558876949562376795956551407338743139159<93>
factorization results 素因数分解の結果
Input number is 1965740569391010318053749335344521591019651103728263296401738201781448991126468225348379407125918693313071521707847468681345659 (127 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=380755361
Step 1 took 3588ms
Step 2 took 2246ms
********** Factor found in step 2: 5179154939152698489531633174853501
Found probable prime factor of 34 digits: 5179154939152698489531633174853501
Probable prime cofactor 379548515633440838641137524585646937824610094532634014558876949562376795956551407338743139159 has 93 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

673×10137-79

c99

name 名前KTakahashi
date 日付January 8, 2015 16:21:38 UTC 2015 年 1 月 9 日 (金) 1 時 21 分 38 秒 (日本時間)
composite number 合成数
136915507991122466678454988785547903430379649946953394057932679558954626976561634770844391388776067<99>
prime factors 素因数
216306271886008246480942178502810036149287<42>
632970587479201222011709957865464024456507972614801231941<57>
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 136915507991122466678454988785547903430379649946953394057932679558954626976561634770844391388776067 (99 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3360823994
Step 1 took 2637ms
Step 2 took 1606ms
********** Factor found in step 2: 216306271886008246480942178502810036149287
Found probable prime factor of 42 digits: 216306271886008246480942178502810036149287
Probable prime cofactor 632970587479201222011709957865464024456507972614801231941 has 57 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

673×10138-79

c139

name 名前KTakahashi
date 日付January 8, 2015 16:22:23 UTC 2015 年 1 月 9 日 (金) 1 時 22 分 23 秒 (日本時間)
composite number 合成数
2021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021<139>
prime factors 素因数
440561008790551043473864048323214831321173241<45>
4587380591326553592178231503691719455962203444706681054812468068021180012965901876992471848581<94>
factorization results 素因数分解の結果
Number: 74777_138
N=2021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021
  ( 139 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=440561008790551043473864048323214831321173241 (pp45)
 r2=4587380591326553592178231503691719455962203444706681054812468068021180012965901876992471848581 (pp94)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 11.86 hours.
Scaled time: 20.12 units (timescale=1.696).
Factorization parameters were as follows:
n: 2021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021
m: 10000000000000000000000000000
c5: 673
c0: -700
skew: 1.01
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved rational special-q in [650000, 2650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 247998 x 248244
Total sieving time: 11.61 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,142.000,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 11.86 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 16:21:49 UTC 2015 年 1 月 9 日 (金) 1 時 21 分 49 秒 (日本時間)

673×10143-79

c138

name 名前Cyp
date 日付January 15, 2015 17:46:54 UTC 2015 年 1 月 16 日 (金) 2 時 46 分 54 秒 (日本時間)
composite number 合成数
242425298184287468336437367743806933270592369386013193533976253148867781462101986334554382372005178996844188156597708412371455021258483323<138>
prime factors 素因数
12332955269958977985609165062270424620724919873<47>
19656707810721981649344394516587431504729436553129136273788796081091054637956594593358302651<92>
factorization results 素因数分解の結果
01/15/15 17:27:33 v1.34.3, 
01/15/15 17:27:33 v1.34.3, ****************************
01/15/15 17:27:33 v1.34.3, Starting factorization of 242425298184287468336437367743806933270592369386013193533976253148867781462101986334554382372005178996844188156597708412371455021258483323
01/15/15 17:27:33 v1.34.3, using pretesting plan: none
01/15/15 17:27:33 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/15/15 17:27:33 v1.34.3, ****************************
01/15/15 17:27:33 v1.34.3, nfs: commencing nfs on c138: 242425298184287468336437367743806933270592369386013193533976253148867781462101986334554382372005178996844188156597708412371455021258483323
01/15/15 17:27:33 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/15/15 17:27:33 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 17:28:33 v1.34.3, nfs: commencing lattice sieving with 8 threads
[65 lines snipped]
01/15/15 18:38:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 18:39:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 18:40:12 v1.34.3, nfs: commencing msieve filtering
01/15/15 18:41:05 v1.34.3, nfs: commencing msieve linear algebra
01/15/15 18:45:34 v1.34.3, nfs: commencing msieve sqrt
01/15/15 18:46:54 v1.34.3, prp92 = 19656707810721981649344394516587431504729436553129136273788796081091054637956594593358302651
01/15/15 18:46:54 v1.34.3, prp47 = 12332955269958977985609165062270424620724919873
01/15/15 18:46:54 v1.34.3, NFS elapsed time = 4760.4083 seconds.
01/15/15 18:46:54 v1.34.3, 
01/15/15 18:46:54 v1.34.3, 
01/15/15 18:46:54 v1.34.3, Total factoring time = 4760.4091 seconds
--
Thu Jan 15 18:40:12 2015  
Thu Jan 15 18:40:12 2015  commencing relation filtering
Thu Jan 15 18:40:12 2015  estimated available RAM is 15987.3 MB
Thu Jan 15 18:40:12 2015  commencing duplicate removal, pass 1
Thu Jan 15 18:40:24 2015  found 739629 hash collisions in 4469029 relations
Thu Jan 15 18:40:28 2015  added 182598 free relations
Thu Jan 15 18:40:28 2015  commencing duplicate removal, pass 2
Thu Jan 15 18:40:31 2015  found 622000 duplicates and 4029627 unique relations
Thu Jan 15 18:40:31 2015  memory use: 20.6 MB
Thu Jan 15 18:40:31 2015  reading ideals above 100000
Thu Jan 15 18:40:31 2015  commencing singleton removal, initial pass
Thu Jan 15 18:40:49 2015  memory use: 94.1 MB
Thu Jan 15 18:40:49 2015  reading all ideals from disk
Thu Jan 15 18:40:49 2015  memory use: 131.9 MB
Thu Jan 15 18:40:49 2015  keeping 4684840 ideals with weight <= 200, target excess is 21503
Thu Jan 15 18:40:49 2015  commencing in-memory singleton removal
Thu Jan 15 18:40:49 2015  begin with 4029627 relations and 4684840 unique ideals
Thu Jan 15 18:40:50 2015  reduce to 1423975 relations and 1387040 ideals in 16 passes
Thu Jan 15 18:40:50 2015  max relations containing the same ideal: 99
Thu Jan 15 18:40:51 2015  relations with 0 large ideals: 505
Thu Jan 15 18:40:51 2015  relations with 1 large ideals: 118
Thu Jan 15 18:40:51 2015  relations with 2 large ideals: 1898
Thu Jan 15 18:40:51 2015  relations with 3 large ideals: 17178
Thu Jan 15 18:40:51 2015  relations with 4 large ideals: 83606
Thu Jan 15 18:40:51 2015  relations with 5 large ideals: 237761
Thu Jan 15 18:40:51 2015  relations with 6 large ideals: 414913
Thu Jan 15 18:40:51 2015  relations with 7+ large ideals: 667996
Thu Jan 15 18:40:51 2015  commencing 2-way merge
Thu Jan 15 18:40:51 2015  reduce to 835270 relation sets and 798380 unique ideals
Thu Jan 15 18:40:51 2015  ignored 45 oversize relation sets
Thu Jan 15 18:40:51 2015  commencing full merge
Thu Jan 15 18:41:01 2015  memory use: 99.8 MB
Thu Jan 15 18:41:01 2015  found 396859 cycles, need 388580
Thu Jan 15 18:41:01 2015  weight of 388580 cycles is about 27347463 (70.38/cycle)
Thu Jan 15 18:41:01 2015  distribution of cycle lengths:
Thu Jan 15 18:41:01 2015  1 relations: 44306
Thu Jan 15 18:41:01 2015  2 relations: 44911
Thu Jan 15 18:41:01 2015  3 relations: 43837
Thu Jan 15 18:41:01 2015  4 relations: 39096
Thu Jan 15 18:41:01 2015  5 relations: 35004
Thu Jan 15 18:41:01 2015  6 relations: 29988
Thu Jan 15 18:41:01 2015  7 relations: 25841
Thu Jan 15 18:41:01 2015  8 relations: 21827
Thu Jan 15 18:41:01 2015  9 relations: 18442
Thu Jan 15 18:41:01 2015  10+ relations: 85328
Thu Jan 15 18:41:01 2015  heaviest cycle: 25 relations
Thu Jan 15 18:41:02 2015  commencing cycle optimization
Thu Jan 15 18:41:02 2015  start with 2470484 relations
Thu Jan 15 18:41:04 2015  pruned 67552 relations
Thu Jan 15 18:41:04 2015  memory use: 78.5 MB
Thu Jan 15 18:41:04 2015  distribution of cycle lengths:
Thu Jan 15 18:41:04 2015  1 relations: 44306
Thu Jan 15 18:41:04 2015  2 relations: 45893
Thu Jan 15 18:41:04 2015  3 relations: 45361
Thu Jan 15 18:41:04 2015  4 relations: 40157
Thu Jan 15 18:41:04 2015  5 relations: 36017
Thu Jan 15 18:41:04 2015  6 relations: 30382
Thu Jan 15 18:41:04 2015  7 relations: 26236
Thu Jan 15 18:41:04 2015  8 relations: 21714
Thu Jan 15 18:41:04 2015  9 relations: 18298
Thu Jan 15 18:41:04 2015  10+ relations: 80216
Thu Jan 15 18:41:04 2015  heaviest cycle: 25 relations
Thu Jan 15 18:41:05 2015  RelProcTime: 53
Thu Jan 15 18:41:05 2015  
Thu Jan 15 18:41:05 2015  commencing linear algebra
Thu Jan 15 18:41:05 2015  read 388580 cycles
Thu Jan 15 18:41:05 2015  cycles contain 1282979 unique relations
Thu Jan 15 18:41:11 2015  read 1282979 relations
Thu Jan 15 18:41:12 2015  using 20 quadratic characters above 67107462
Thu Jan 15 18:41:16 2015  building initial matrix
Thu Jan 15 18:41:22 2015  memory use: 155.2 MB
Thu Jan 15 18:41:22 2015  read 388580 cycles
Thu Jan 15 18:41:22 2015  matrix is 388384 x 388580 (115.7 MB) with weight 34320328 (88.32/col)
Thu Jan 15 18:41:22 2015  sparse part has weight 26064489 (67.08/col)
Thu Jan 15 18:41:24 2015  filtering completed in 2 passes
Thu Jan 15 18:41:24 2015  matrix is 387217 x 387417 (115.5 MB) with weight 34256600 (88.42/col)
Thu Jan 15 18:41:24 2015  sparse part has weight 26027863 (67.18/col)
Thu Jan 15 18:41:25 2015  matrix starts at (0, 0)
Thu Jan 15 18:41:25 2015  matrix is 387217 x 387417 (115.5 MB) with weight 34256600 (88.42/col)
Thu Jan 15 18:41:25 2015  sparse part has weight 26027863 (67.18/col)
Thu Jan 15 18:41:25 2015  saving the first 48 matrix rows for later
Thu Jan 15 18:41:25 2015  matrix includes 64 packed rows
Thu Jan 15 18:41:25 2015  matrix is 387169 x 387417 (108.6 MB) with weight 26998982 (69.69/col)
Thu Jan 15 18:41:25 2015  sparse part has weight 24593622 (63.48/col)
Thu Jan 15 18:41:25 2015  using block size 65536 for processor cache size 8192 kB
Thu Jan 15 18:41:26 2015  commencing Lanczos iteration (8 threads)
Thu Jan 15 18:41:26 2015  memory use: 104.6 MB
Thu Jan 15 18:41:34 2015  linear algebra at 3.1%, ETA 0h 4m
Thu Jan 15 18:45:33 2015  lanczos halted after 6122 iterations (dim = 387167)
Thu Jan 15 18:45:34 2015  recovered 36 nontrivial dependencies
Thu Jan 15 18:45:34 2015  BLanczosTime: 269
Thu Jan 15 18:45:34 2015  
Thu Jan 15 18:45:34 2015  commencing square root phase
Thu Jan 15 18:45:34 2015  reading relations for dependency 1
Thu Jan 15 18:45:34 2015  read 193660 cycles
Thu Jan 15 18:45:34 2015  cycles contain 640444 unique relations
Thu Jan 15 18:45:38 2015  read 640444 relations
Thu Jan 15 18:45:39 2015  multiplying 640444 relations
Thu Jan 15 18:45:54 2015  multiply complete, coefficients have about 24.30 million bits
Thu Jan 15 18:45:54 2015  initial square root is modulo 9507881
Thu Jan 15 18:46:14 2015  GCD is 1, no factor found
Thu Jan 15 18:46:14 2015  reading relations for dependency 2
Thu Jan 15 18:46:14 2015  read 193872 cycles
Thu Jan 15 18:46:14 2015  cycles contain 642020 unique relations
Thu Jan 15 18:46:18 2015  read 642020 relations
Thu Jan 15 18:46:19 2015  multiplying 642020 relations
Thu Jan 15 18:46:34 2015  multiply complete, coefficients have about 24.35 million bits
Thu Jan 15 18:46:34 2015  initial square root is modulo 9877211
Thu Jan 15 18:46:54 2015  sqrtTime: 80
--
n: 242425298184287468336437367743806933270592369386013193533976253148867781462101986334554382372005178996844188156597708412371455021258483323
m: 10000000000000000000000000000
deg: 5
c5: 673000
c0: -7
skew: 0.10
# Murphy_E = 1.191e-09
type: snfs
lss: 1
rlim: 1890000
alim: 1890000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
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
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 16:22:41 UTC 2015 年 1 月 9 日 (金) 1 時 22 分 41 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:02:30 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 30 秒 (日本時間)

673×10145-79

c100

name 名前KTakahashi
date 日付January 8, 2015 16:23:14 UTC 2015 年 1 月 9 日 (金) 1 時 23 分 14 秒 (日本時間)
composite number 合成数
2402577892653524282196619274017495469764813858546978803793231410543224432068091118191019389302895627<100>
prime factors 素因数
20879034882114482706046012354360360452089878649<47>
115071309867470655210658411416272157203901007922108323<54>
factorization results 素因数分解の結果
Number: 74777_145
N=2402577892653524282196619274017495469764813858546978803793231410543224432068091118191019389302895627
  ( 100 digits)
Divisors found:
 r1=20879034882114482706046012354360360452089878649 (pp47)
 r2=115071309867470655210658411416272157203901007922108323 (pp54)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 5.64 hours.
Scaled time: 9.82 units (timescale=1.742).
Factorization parameters were as follows:
name: 74777_145
n: 2402577892653524282196619274017495469764813858546978803793231410543224432068091118191019389302895627
skew: 9043.51
# norm 6.39e+013
c5: 42840
c4: 65325880
c3: -9393940025980
c2: -4412254365121927
c1: 391651592034190256394
c0: 267068771436270277973016
# alpha -5.76
Y1: 36588565189
Y0: -8907689273853253129
# Murphy_E 3.42e-009
# M 1157951892924475751580208964604907260298754061019731024809945493947918475878035498213479843414746790
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 185964 x 186190
Polynomial selection time: 0.38 hours.
Total sieving time: 5.10 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.01 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: 5.64 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
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

673×10148-79

c104

name 名前KTakahashi
date 日付January 8, 2015 16:24:36 UTC 2015 年 1 月 9 日 (金) 1 時 24 分 36 秒 (日本時間)
composite number 合成数
28185908645406772074550303351860321822389337537296944682419962817806869263864007027818775620918203112829<104>
prime factors 素因数
302735639725998974094772160941963<33>
93104031857357040351704701055414945510896871808776833595157354552207383<71>
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 28185908645406772074550303351860321822389337537296944682419962817806869263864007027818775620918203112829 (104 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1775763282
Step 1 took 2652ms
Step 2 took 1669ms
********** Factor found in step 2: 302735639725998974094772160941963
Found probable prime factor of 33 digits: 302735639725998974094772160941963
Probable prime cofactor 93104031857357040351704701055414945510896871808776833595157354552207383 has 71 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

673×10152-79

c134

name 名前Serge Batalov
date 日付January 8, 2015 23:11:52 UTC 2015 年 1 月 9 日 (金) 8 時 11 分 52 秒 (日本時間)
composite number 合成数
22079257729610151600895318632334427511589188033881107414003561791088477122371149735349262450285043733647089203080825906966745532939311<134>
prime factors 素因数
432630336097853961480348002547406153<36>
composite cofactor 合成数の残り
51034927251648349031770528766118928768995789026654115180264833995518739052787454960744695293468087<98>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=529783481
Step 1 took 7584ms
Step 2 took 6880ms
********** Factor found in step 2: 432630336097853961480348002547406153
Found probable prime factor of 36 digits: 432630336097853961480348002547406153
Composite cofactor 

c98

name 名前Cyp
date 日付January 9, 2015 22:07:12 UTC 2015 年 1 月 10 日 (土) 7 時 7 分 12 秒 (日本時間)
composite number 合成数
51034927251648349031770528766118928768995789026654115180264833995518739052787454960744695293468087<98>
prime factors 素因数
665630723063389998586963902551701039271287<42>
76671531952091311040141250893327590749207054205945086401<56>
factorization results 素因数分解の結果
01/09/15 22:46:06 v1.34.3, 
01/09/15 22:46:06 v1.34.3, ****************************
01/09/15 22:46:06 v1.34.3, Starting factorization of 51034927251648349031770528766118928768995789026654115180264833995518739052787454960744695293468087
01/09/15 22:46:06 v1.34.3, using pretesting plan: none
01/09/15 22:46:06 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/09/15 22:46:06 v1.34.3, ****************************
01/09/15 22:46:06 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C98
01/09/15 22:46:06 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C98
01/09/15 22:46:06 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C98
01/09/15 22:46:06 v1.34.3, final ECM pretested depth: 0.00
01/09/15 22:46:06 v1.34.3, scheduler: switching to sieve method
01/09/15 22:46:06 v1.34.3, nfs: commencing nfs on c98: 51034927251648349031770528766118928768995789026654115180264833995518739052787454960744695293468087
01/09/15 22:46:06 v1.34.3, nfs: commencing poly selection with 8 threads
01/09/15 22:46:06 v1.34.3, nfs: setting deadline of 132 seconds
01/09/15 22:48:26 v1.34.3, nfs: completed 196 ranges of size 250 in 140.4683 seconds
01/09/15 22:48:26 v1.34.3, nfs: best poly = # norm 2.033852e-13 alpha -5.567714 e 1.487e-08 rroots 2
01/09/15 22:48:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 22:49:50 v1.34.3, nfs: commencing lattice sieving with 8 threads
[7 lines snipped]
01/09/15 23:01:31 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 23:03:04 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 23:04:30 v1.34.3, nfs: commencing msieve filtering
01/09/15 23:05:18 v1.34.3, nfs: commencing msieve linear algebra
01/09/15 23:06:49 v1.34.3, nfs: commencing msieve sqrt
01/09/15 23:07:11 v1.34.3, prp56 = 76671531952091311040141250893327590749207054205945086401
01/09/15 23:07:11 v1.34.3, prp42 = 665630723063389998586963902551701039271287
01/09/15 23:07:11 v1.34.3, NFS elapsed time = 1265.5439 seconds.
01/09/15 23:07:11 v1.34.3, 
01/09/15 23:07:11 v1.34.3, 
01/09/15 23:07:11 v1.34.3, Total factoring time = 1265.5704 seconds
--
Fri Jan  9 23:04:30 2015  
Fri Jan  9 23:04:30 2015  commencing relation filtering
Fri Jan  9 23:04:30 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 23:04:30 2015  commencing duplicate removal, pass 1
Fri Jan  9 23:04:44 2015  found 400737 hash collisions in 4617953 relations
Fri Jan  9 23:04:47 2015  added 154146 free relations
Fri Jan  9 23:04:47 2015  commencing duplicate removal, pass 2
Fri Jan  9 23:04:51 2015  found 145974 duplicates and 4626125 unique relations
Fri Jan  9 23:04:51 2015  memory use: 19.6 MB
Fri Jan  9 23:04:51 2015  reading ideals above 100000
Fri Jan  9 23:04:51 2015  commencing singleton removal, initial pass
Fri Jan  9 23:05:09 2015  memory use: 172.2 MB
Fri Jan  9 23:05:09 2015  reading all ideals from disk
Fri Jan  9 23:05:09 2015  memory use: 141.3 MB
Fri Jan  9 23:05:09 2015  keeping 5232299 ideals with weight <= 200, target excess is 37997
Fri Jan  9 23:05:09 2015  commencing in-memory singleton removal
Fri Jan  9 23:05:10 2015  begin with 4626125 relations and 5232299 unique ideals
Fri Jan  9 23:05:11 2015  reduce to 1456112 relations and 1344515 ideals in 20 passes
Fri Jan  9 23:05:11 2015  max relations containing the same ideal: 89
Fri Jan  9 23:05:11 2015  removing 276834 relations and 243074 ideals in 33760 cliques
Fri Jan  9 23:05:11 2015  commencing in-memory singleton removal
Fri Jan  9 23:05:11 2015  begin with 1179278 relations and 1344515 unique ideals
Fri Jan  9 23:05:11 2015  reduce to 1132587 relations and 1053215 ideals in 10 passes
Fri Jan  9 23:05:11 2015  max relations containing the same ideal: 76
Fri Jan  9 23:05:12 2015  removing 206566 relations and 172806 ideals in 33760 cliques
Fri Jan  9 23:05:12 2015  commencing in-memory singleton removal
Fri Jan  9 23:05:12 2015  begin with 926021 relations and 1053215 unique ideals
Fri Jan  9 23:05:12 2015  reduce to 892465 relations and 845697 ideals in 9 passes
Fri Jan  9 23:05:12 2015  max relations containing the same ideal: 65
Fri Jan  9 23:05:12 2015  relations with 0 large ideals: 671
Fri Jan  9 23:05:12 2015  relations with 1 large ideals: 5780
Fri Jan  9 23:05:12 2015  relations with 2 large ideals: 35925
Fri Jan  9 23:05:12 2015  relations with 3 large ideals: 128689
Fri Jan  9 23:05:12 2015  relations with 4 large ideals: 249527
Fri Jan  9 23:05:12 2015  relations with 5 large ideals: 270765
Fri Jan  9 23:05:12 2015  relations with 6 large ideals: 150426
Fri Jan  9 23:05:12 2015  relations with 7+ large ideals: 50682
Fri Jan  9 23:05:12 2015  commencing 2-way merge
Fri Jan  9 23:05:12 2015  reduce to 493529 relation sets and 446761 unique ideals
Fri Jan  9 23:05:12 2015  commencing full merge
Fri Jan  9 23:05:16 2015  memory use: 44.9 MB
Fri Jan  9 23:05:16 2015  found 227608 cycles, need 220961
Fri Jan  9 23:05:16 2015  weight of 220961 cycles is about 15690913 (71.01/cycle)
Fri Jan  9 23:05:16 2015  distribution of cycle lengths:
Fri Jan  9 23:05:16 2015  1 relations: 21392
Fri Jan  9 23:05:16 2015  2 relations: 21550
Fri Jan  9 23:05:16 2015  3 relations: 21330
Fri Jan  9 23:05:16 2015  4 relations: 20010
Fri Jan  9 23:05:16 2015  5 relations: 18373
Fri Jan  9 23:05:16 2015  6 relations: 17101
Fri Jan  9 23:05:16 2015  7 relations: 15129
Fri Jan  9 23:05:16 2015  8 relations: 13218
Fri Jan  9 23:05:16 2015  9 relations: 12022
Fri Jan  9 23:05:16 2015  10+ relations: 60836
Fri Jan  9 23:05:16 2015  heaviest cycle: 24 relations
Fri Jan  9 23:05:16 2015  commencing cycle optimization
Fri Jan  9 23:05:16 2015  start with 1541803 relations
Fri Jan  9 23:05:17 2015  pruned 36085 relations
Fri Jan  9 23:05:17 2015  memory use: 50.0 MB
Fri Jan  9 23:05:17 2015  distribution of cycle lengths:
Fri Jan  9 23:05:17 2015  1 relations: 21392
Fri Jan  9 23:05:17 2015  2 relations: 21991
Fri Jan  9 23:05:17 2015  3 relations: 22060
Fri Jan  9 23:05:17 2015  4 relations: 20395
Fri Jan  9 23:05:17 2015  5 relations: 18910
Fri Jan  9 23:05:17 2015  6 relations: 17426
Fri Jan  9 23:05:17 2015  7 relations: 15371
Fri Jan  9 23:05:17 2015  8 relations: 13290
Fri Jan  9 23:05:17 2015  9 relations: 12143
Fri Jan  9 23:05:17 2015  10+ relations: 57983
Fri Jan  9 23:05:17 2015  heaviest cycle: 24 relations
Fri Jan  9 23:05:18 2015  RelProcTime: 48
Fri Jan  9 23:05:18 2015  
Fri Jan  9 23:05:18 2015  commencing linear algebra
Fri Jan  9 23:05:18 2015  read 220961 cycles
Fri Jan  9 23:05:18 2015  cycles contain 826440 unique relations
Fri Jan  9 23:05:22 2015  read 826440 relations
Fri Jan  9 23:05:23 2015  using 20 quadratic characters above 67106214
Fri Jan  9 23:05:25 2015  building initial matrix
Fri Jan  9 23:05:29 2015  memory use: 99.7 MB
Fri Jan  9 23:05:29 2015  read 220961 cycles
Fri Jan  9 23:05:29 2015  matrix is 220782 x 220961 (67.5 MB) with weight 21462268 (97.13/col)
Fri Jan  9 23:05:29 2015  sparse part has weight 15039622 (68.06/col)
Fri Jan  9 23:05:30 2015  filtering completed in 2 passes
Fri Jan  9 23:05:30 2015  matrix is 219814 x 219995 (67.4 MB) with weight 21411967 (97.33/col)
Fri Jan  9 23:05:30 2015  sparse part has weight 15019564 (68.27/col)
Fri Jan  9 23:05:31 2015  matrix starts at (0, 0)
Fri Jan  9 23:05:31 2015  matrix is 219814 x 219995 (67.4 MB) with weight 21411967 (97.33/col)
Fri Jan  9 23:05:31 2015  sparse part has weight 15019564 (68.27/col)
Fri Jan  9 23:05:31 2015  saving the first 48 matrix rows for later
Fri Jan  9 23:05:31 2015  matrix includes 64 packed rows
Fri Jan  9 23:05:31 2015  matrix is 219766 x 219995 (64.5 MB) with weight 17078380 (77.63/col)
Fri Jan  9 23:05:31 2015  sparse part has weight 14709475 (66.86/col)
Fri Jan  9 23:05:31 2015  using block size 65536 for processor cache size 8192 kB
Fri Jan  9 23:05:31 2015  commencing Lanczos iteration (8 threads)
Fri Jan  9 23:05:31 2015  memory use: 60.3 MB
Fri Jan  9 23:05:36 2015  linear algebra at 5.5%, ETA 0h 1m
Fri Jan  9 23:06:49 2015  lanczos halted after 3477 iterations (dim = 219765)
Fri Jan  9 23:06:49 2015  recovered 32 nontrivial dependencies
Fri Jan  9 23:06:49 2015  BLanczosTime: 91
Fri Jan  9 23:06:49 2015  
Fri Jan  9 23:06:49 2015  commencing square root phase
Fri Jan  9 23:06:49 2015  reading relations for dependency 1
Fri Jan  9 23:06:49 2015  read 109931 cycles
Fri Jan  9 23:06:49 2015  cycles contain 412724 unique relations
Fri Jan  9 23:06:53 2015  read 412724 relations
Fri Jan  9 23:06:54 2015  multiplying 412724 relations
Fri Jan  9 23:07:01 2015  multiply complete, coefficients have about 17.98 million bits
Fri Jan  9 23:07:01 2015  initial square root is modulo 146519
Fri Jan  9 23:07:11 2015  sqrtTime: 22
--
n: 51034927251648349031770528766118928768995789026654115180264833995518739052787454960744695293468087
skew: 541958.93
c0: 268991950730203128839368634
c1: -4887019625083344219479
c2: 9764316767598926
c3: 24794746164
c4: 15480
Y0: -239620551235023799458689
Y1: 100610312747
rlim: 1680000
alim: 1680000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
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
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

673×10156-79

c138

name 名前Cyp
date 日付January 15, 2015 16:27:31 UTC 2015 年 1 月 16 日 (金) 1 時 27 分 31 秒 (日本時間)
composite number 合成数
862575988739336179782467108812414752700958602357311332166685685432741157787297617140663804823601675481669648699603431678109501743842386017<138>
prime factors 素因数
361471701791368272054629577064271304413<39>
2386289118801315744531562074960027046321945253607067916737884504697806981217752438920004363962785109<100>
factorization results 素因数分解の結果
01/15/15 13:28:43 v1.34.3, 
01/15/15 13:28:43 v1.34.3, ****************************
01/15/15 13:28:43 v1.34.3, Starting factorization of 862575988739336179782467108812414752700958602357311332166685685432741157787297617140663804823601675481669648699603431678109501743842386017
01/15/15 13:28:43 v1.34.3, using pretesting plan: none
01/15/15 13:28:43 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/15/15 13:28:43 v1.34.3, ****************************
01/15/15 13:28:43 v1.34.3, nfs: commencing nfs on c138: 862575988739336179782467108812414752700958602357311332166685685432741157787297617140663804823601675481669648699603431678109501743842386017
01/15/15 13:28:43 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/15/15 13:28:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 13:29:58 v1.34.3, nfs: commencing lattice sieving with 8 threads
[166 lines snipped]
01/15/15 17:13:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 17:14:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 17:15:49 v1.34.3, nfs: commencing msieve filtering
01/15/15 17:17:33 v1.34.3, nfs: commencing msieve linear algebra
01/15/15 17:26:37 v1.34.3, nfs: commencing msieve sqrt
01/15/15 17:27:30 v1.34.3, prp100 = 2386289118801315744531562074960027046321945253607067916737884504697806981217752438920004363962785109
01/15/15 17:27:30 v1.34.3, prp39 = 361471701791368272054629577064271304413
01/15/15 17:27:30 v1.34.3, NFS elapsed time = 14326.7049 seconds.
01/15/15 17:27:30 v1.34.3, 
01/15/15 17:27:30 v1.34.3, 
01/15/15 17:27:30 v1.34.3, Total factoring time = 14326.7059 seconds
--
Thu Jan 15 17:15:49 2015  
Thu Jan 15 17:15:49 2015  commencing relation filtering
Thu Jan 15 17:15:49 2015  estimated available RAM is 15987.3 MB
Thu Jan 15 17:15:49 2015  commencing duplicate removal, pass 1
Thu Jan 15 17:16:16 2015  found 1918600 hash collisions in 10050303 relations
Thu Jan 15 17:16:24 2015  added 354254 free relations
Thu Jan 15 17:16:24 2015  commencing duplicate removal, pass 2
Thu Jan 15 17:16:32 2015  found 1700294 duplicates and 8704263 unique relations
Thu Jan 15 17:16:32 2015  memory use: 45.3 MB
Thu Jan 15 17:16:32 2015  reading ideals above 100000
Thu Jan 15 17:16:32 2015  commencing singleton removal, initial pass
Thu Jan 15 17:17:09 2015  memory use: 188.2 MB
Thu Jan 15 17:17:09 2015  reading all ideals from disk
Thu Jan 15 17:17:09 2015  memory use: 300.3 MB
Thu Jan 15 17:17:10 2015  keeping 9455286 ideals with weight <= 200, target excess is 45198
Thu Jan 15 17:17:10 2015  commencing in-memory singleton removal
Thu Jan 15 17:17:11 2015  begin with 8704263 relations and 9455286 unique ideals
Thu Jan 15 17:17:13 2015  reduce to 3728833 relations and 3271547 ideals in 12 passes
Thu Jan 15 17:17:13 2015  max relations containing the same ideal: 116
Thu Jan 15 17:17:14 2015  removing 866643 relations and 664215 ideals in 202428 cliques
Thu Jan 15 17:17:14 2015  commencing in-memory singleton removal
Thu Jan 15 17:17:14 2015  begin with 2862190 relations and 3271547 unique ideals
Thu Jan 15 17:17:15 2015  reduce to 2712279 relations and 2447150 ideals in 8 passes
Thu Jan 15 17:17:15 2015  max relations containing the same ideal: 94
Thu Jan 15 17:17:16 2015  removing 698827 relations and 496399 ideals in 202428 cliques
Thu Jan 15 17:17:16 2015  commencing in-memory singleton removal
Thu Jan 15 17:17:16 2015  begin with 2013452 relations and 2447150 unique ideals
Thu Jan 15 17:17:17 2015  reduce to 1894099 relations and 1822390 ideals in 9 passes
Thu Jan 15 17:17:17 2015  max relations containing the same ideal: 74
Thu Jan 15 17:17:17 2015  removing 106172 relations and 86893 ideals in 19279 cliques
Thu Jan 15 17:17:17 2015  commencing in-memory singleton removal
Thu Jan 15 17:17:17 2015  begin with 1787927 relations and 1822390 unique ideals
Thu Jan 15 17:17:17 2015  reduce to 1784534 relations and 1732078 ideals in 5 passes
Thu Jan 15 17:17:17 2015  max relations containing the same ideal: 69
Thu Jan 15 17:17:18 2015  relations with 0 large ideals: 1026
Thu Jan 15 17:17:18 2015  relations with 1 large ideals: 467
Thu Jan 15 17:17:18 2015  relations with 2 large ideals: 7454
Thu Jan 15 17:17:18 2015  relations with 3 large ideals: 53831
Thu Jan 15 17:17:18 2015  relations with 4 large ideals: 199315
Thu Jan 15 17:17:18 2015  relations with 5 large ideals: 418012
Thu Jan 15 17:17:18 2015  relations with 6 large ideals: 532632
Thu Jan 15 17:17:18 2015  relations with 7+ large ideals: 571797
Thu Jan 15 17:17:18 2015  commencing 2-way merge
Thu Jan 15 17:17:18 2015  reduce to 1128959 relation sets and 1076503 unique ideals
Thu Jan 15 17:17:18 2015  commencing full merge
Thu Jan 15 17:17:29 2015  memory use: 136.4 MB
Thu Jan 15 17:17:29 2015  found 583623 cycles, need 576703
Thu Jan 15 17:17:29 2015  weight of 576703 cycles is about 40534390 (70.29/cycle)
Thu Jan 15 17:17:29 2015  distribution of cycle lengths:
Thu Jan 15 17:17:29 2015  1 relations: 42290
Thu Jan 15 17:17:29 2015  2 relations: 57678
Thu Jan 15 17:17:29 2015  3 relations: 63430
Thu Jan 15 17:17:29 2015  4 relations: 62166
Thu Jan 15 17:17:29 2015  5 relations: 59763
Thu Jan 15 17:17:29 2015  6 relations: 54297
Thu Jan 15 17:17:29 2015  7 relations: 48775
Thu Jan 15 17:17:29 2015  8 relations: 41916
Thu Jan 15 17:17:29 2015  9 relations: 35215
Thu Jan 15 17:17:29 2015  10+ relations: 111173
Thu Jan 15 17:17:29 2015  heaviest cycle: 20 relations
Thu Jan 15 17:17:29 2015  commencing cycle optimization
Thu Jan 15 17:17:29 2015  start with 3575081 relations
Thu Jan 15 17:17:33 2015  pruned 101409 relations
Thu Jan 15 17:17:33 2015  memory use: 111.0 MB
Thu Jan 15 17:17:33 2015  distribution of cycle lengths:
Thu Jan 15 17:17:33 2015  1 relations: 42290
Thu Jan 15 17:17:33 2015  2 relations: 58939
Thu Jan 15 17:17:33 2015  3 relations: 65674
Thu Jan 15 17:17:33 2015  4 relations: 64083
Thu Jan 15 17:17:33 2015  5 relations: 61645
Thu Jan 15 17:17:33 2015  6 relations: 55784
Thu Jan 15 17:17:33 2015  7 relations: 49959
Thu Jan 15 17:17:33 2015  8 relations: 42304
Thu Jan 15 17:17:33 2015  9 relations: 35003
Thu Jan 15 17:17:33 2015  10+ relations: 101022
Thu Jan 15 17:17:33 2015  heaviest cycle: 20 relations
Thu Jan 15 17:17:33 2015  RelProcTime: 104
Thu Jan 15 17:17:33 2015  
Thu Jan 15 17:17:33 2015  commencing linear algebra
Thu Jan 15 17:17:33 2015  read 576703 cycles
Thu Jan 15 17:17:34 2015  cycles contain 1754340 unique relations
Thu Jan 15 17:17:45 2015  read 1754340 relations
Thu Jan 15 17:17:46 2015  using 20 quadratic characters above 134213268
Thu Jan 15 17:17:52 2015  building initial matrix
Thu Jan 15 17:18:01 2015  memory use: 214.3 MB
Thu Jan 15 17:18:02 2015  read 576703 cycles
Thu Jan 15 17:18:02 2015  matrix is 576526 x 576703 (172.4 MB) with weight 51824894 (89.86/col)
Thu Jan 15 17:18:02 2015  sparse part has weight 38854864 (67.37/col)
Thu Jan 15 17:18:04 2015  filtering completed in 2 passes
Thu Jan 15 17:18:04 2015  matrix is 576441 x 576618 (172.4 MB) with weight 51822064 (89.87/col)
Thu Jan 15 17:18:04 2015  sparse part has weight 38854004 (67.38/col)
Thu Jan 15 17:18:05 2015  matrix starts at (0, 0)
Thu Jan 15 17:18:05 2015  matrix is 576441 x 576618 (172.4 MB) with weight 51822064 (89.87/col)
Thu Jan 15 17:18:05 2015  sparse part has weight 38854004 (67.38/col)
Thu Jan 15 17:18:05 2015  saving the first 48 matrix rows for later
Thu Jan 15 17:18:05 2015  matrix includes 64 packed rows
Thu Jan 15 17:18:05 2015  matrix is 576393 x 576618 (163.2 MB) with weight 40816363 (70.79/col)
Thu Jan 15 17:18:05 2015  sparse part has weight 37018135 (64.20/col)
Thu Jan 15 17:18:05 2015  using block size 65536 for processor cache size 8192 kB
Thu Jan 15 17:18:06 2015  commencing Lanczos iteration (8 threads)
Thu Jan 15 17:18:06 2015  memory use: 158.1 MB
Thu Jan 15 17:18:09 2015  linear algebra at 0.5%, ETA 0h 9m
Thu Jan 15 17:26:37 2015  lanczos halted after 9117 iterations (dim = 576391)
Thu Jan 15 17:26:37 2015  recovered 37 nontrivial dependencies
Thu Jan 15 17:26:37 2015  BLanczosTime: 544
Thu Jan 15 17:26:37 2015  
Thu Jan 15 17:26:37 2015  commencing square root phase
Thu Jan 15 17:26:37 2015  reading relations for dependency 1
Thu Jan 15 17:26:37 2015  read 288100 cycles
Thu Jan 15 17:26:37 2015  cycles contain 876068 unique relations
Thu Jan 15 17:26:45 2015  read 876068 relations
Thu Jan 15 17:26:47 2015  multiplying 876068 relations
Thu Jan 15 17:27:05 2015  multiply complete, coefficients have about 28.46 million bits
Thu Jan 15 17:27:05 2015  initial square root is modulo 148649551
Thu Jan 15 17:27:30 2015  sqrtTime: 53
--
n: 862575988739336179782467108812414752700958602357311332166685685432741157787297617140663804823601675481669648699603431678109501743842386017
m: 10000000000000000000000000000000
deg: 5
c5: 6730
c0: -7
skew: 0.25
# Murphy_E = 4.544e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
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
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:02:31 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 31 秒 (日本時間)

673×10157-79

c112

name 名前Cyp
date 日付January 10, 2015 17:05:30 UTC 2015 年 1 月 11 日 (日) 2 時 5 分 30 秒 (日本時間)
composite number 合成数
2610225555138899215608808902555638216635547170842372412707862382072086217094304911925897591750068036939514617283<112>
prime factors 素因数
2782511832753183191631188595098050247141288672182951<52>
938082463626465999387483954742609018948843246336690782124933<60>
factorization results 素因数分解の結果
01/10/15 15:58:10 v1.34.3, 
01/10/15 15:58:10 v1.34.3, ****************************
01/10/15 15:58:10 v1.34.3, Starting factorization of 2610225555138899215608808902555638216635547170842372412707862382072086217094304911925897591750068036939514617283
01/10/15 15:58:10 v1.34.3, using pretesting plan: none
01/10/15 15:58:10 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/10/15 15:58:10 v1.34.3, ****************************
01/10/15 15:58:10 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C112
01/10/15 15:58:10 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C112
01/10/15 15:58:10 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C112
01/10/15 15:58:10 v1.34.3, final ECM pretested depth: 0.00
01/10/15 15:58:10 v1.34.3, scheduler: switching to sieve method
01/10/15 15:58:10 v1.34.3, nfs: commencing nfs on c112: 2610225555138899215608808902555638216635547170842372412707862382072086217094304911925897591750068036939514617283
01/10/15 15:58:10 v1.34.3, nfs: commencing poly selection with 8 threads
01/10/15 15:58:10 v1.34.3, nfs: setting deadline of 600 seconds
01/10/15 16:08:06 v1.34.3, nfs: completed 145 ranges of size 250 in 595.8208 seconds
01/10/15 16:08:06 v1.34.3, nfs: best poly = # norm 1.373838e-10 alpha -6.415717 e 8.281e-10 rroots 3
01/10/15 16:08:06 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 16:13:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
[12 lines snipped]
01/10/15 17:21:59 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 17:27:21 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 17:32:41 v1.34.3, nfs: commencing msieve filtering
01/10/15 17:33:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 17:38:40 v1.34.3, nfs: commencing msieve filtering
01/10/15 17:39:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 17:44:47 v1.34.3, nfs: commencing msieve filtering
01/10/15 17:45:38 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 17:51:01 v1.34.3, nfs: commencing msieve filtering
01/10/15 17:51:55 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 17:57:29 v1.34.3, nfs: commencing msieve filtering
01/10/15 17:58:40 v1.34.3, nfs: commencing msieve linear algebra
01/10/15 18:04:27 v1.34.3, nfs: commencing msieve sqrt
01/10/15 18:05:29 v1.34.3, prp52 = 2782511832753183191631188595098050247141288672182951
01/10/15 18:05:29 v1.34.3, prp60 = 938082463626465999387483954742609018948843246336690782124933
01/10/15 18:05:29 v1.34.3, NFS elapsed time = 7638.6606 seconds.
01/10/15 18:05:29 v1.34.3, 
01/10/15 18:05:29 v1.34.3, 
01/10/15 18:05:29 v1.34.3, Total factoring time = 7638.6878 seconds
--
Sat Jan 10 17:32:41 2015  
Sat Jan 10 17:32:41 2015  commencing relation filtering
Sat Jan 10 17:32:41 2015  estimated available RAM is 15987.3 MB
Sat Jan 10 17:32:41 2015  commencing duplicate removal, pass 1
Sat Jan 10 17:32:55 2015  found 420144 hash collisions in 4549821 relations
Sat Jan 10 17:33:00 2015  added 32553 free relations
Sat Jan 10 17:33:00 2015  commencing duplicate removal, pass 2
Sat Jan 10 17:33:04 2015  found 181482 duplicates and 4400892 unique relations
Sat Jan 10 17:33:04 2015  memory use: 19.6 MB
Sat Jan 10 17:33:04 2015  reading ideals above 100000
Sat Jan 10 17:33:04 2015  commencing singleton removal, initial pass
Sat Jan 10 17:33:24 2015  memory use: 172.2 MB
Sat Jan 10 17:33:24 2015  reading all ideals from disk
Sat Jan 10 17:33:24 2015  memory use: 149.5 MB
Sat Jan 10 17:33:24 2015  keeping 5417963 ideals with weight <= 200, target excess is 24213
Sat Jan 10 17:33:24 2015  commencing in-memory singleton removal
Sat Jan 10 17:33:25 2015  begin with 4400892 relations and 5417963 unique ideals
Sat Jan 10 17:33:25 2015  reduce to 83 relations and 0 ideals in 25 passes
Sat Jan 10 17:33:25 2015  max relations containing the same ideal: 0
Sat Jan 10 17:38:40 2015  
Sat Jan 10 17:38:40 2015  commencing relation filtering
Sat Jan 10 17:38:40 2015  estimated available RAM is 15987.3 MB
Sat Jan 10 17:38:40 2015  commencing duplicate removal, pass 1
Sat Jan 10 17:38:55 2015  found 472184 hash collisions in 4863891 relations
Sat Jan 10 17:39:00 2015  added 46 free relations
Sat Jan 10 17:39:00 2015  commencing duplicate removal, pass 2
Sat Jan 10 17:39:04 2015  found 202843 duplicates and 4661094 unique relations
Sat Jan 10 17:39:04 2015  memory use: 20.6 MB
Sat Jan 10 17:39:04 2015  reading ideals above 100000
Sat Jan 10 17:39:04 2015  commencing singleton removal, initial pass
Sat Jan 10 17:39:25 2015  memory use: 172.2 MB
Sat Jan 10 17:39:25 2015  reading all ideals from disk
Sat Jan 10 17:39:25 2015  memory use: 158.4 MB
Sat Jan 10 17:39:25 2015  keeping 5545987 ideals with weight <= 200, target excess is 25145
Sat Jan 10 17:39:26 2015  commencing in-memory singleton removal
Sat Jan 10 17:39:26 2015  begin with 4661094 relations and 5545987 unique ideals
Sat Jan 10 17:39:27 2015  reduce to 1012030 relations and 1162178 ideals in 33 passes
Sat Jan 10 17:39:27 2015  max relations containing the same ideal: 70
Sat Jan 10 17:44:47 2015  
Sat Jan 10 17:44:47 2015  commencing relation filtering
Sat Jan 10 17:44:47 2015  estimated available RAM is 15987.3 MB
Sat Jan 10 17:44:47 2015  commencing duplicate removal, pass 1
Sat Jan 10 17:45:03 2015  found 522292 hash collisions in 5143764 relations
Sat Jan 10 17:45:08 2015  added 53 free relations
Sat Jan 10 17:45:08 2015  commencing duplicate removal, pass 2
Sat Jan 10 17:45:13 2015  found 225255 duplicates and 4918562 unique relations
Sat Jan 10 17:45:13 2015  memory use: 20.6 MB
Sat Jan 10 17:45:13 2015  reading ideals above 100000
Sat Jan 10 17:45:13 2015  commencing singleton removal, initial pass
Sat Jan 10 17:45:35 2015  memory use: 172.2 MB
Sat Jan 10 17:45:36 2015  reading all ideals from disk
Sat Jan 10 17:45:36 2015  memory use: 167.2 MB
Sat Jan 10 17:45:36 2015  keeping 5664589 ideals with weight <= 200, target excess is 26152
Sat Jan 10 17:45:36 2015  commencing in-memory singleton removal
Sat Jan 10 17:45:36 2015  begin with 4918562 relations and 5664589 unique ideals
Sat Jan 10 17:45:38 2015  reduce to 1443615 relations and 1528404 ideals in 27 passes
Sat Jan 10 17:45:38 2015  max relations containing the same ideal: 86
Sat Jan 10 17:51:01 2015  
Sat Jan 10 17:51:01 2015  commencing relation filtering
Sat Jan 10 17:51:01 2015  estimated available RAM is 15987.3 MB
Sat Jan 10 17:51:01 2015  commencing duplicate removal, pass 1
Sat Jan 10 17:51:19 2015  found 574445 hash collisions in 5425153 relations
Sat Jan 10 17:51:24 2015  added 47 free relations
Sat Jan 10 17:51:24 2015  commencing duplicate removal, pass 2
Sat Jan 10 17:51:28 2015  found 248678 duplicates and 5176522 unique relations
Sat Jan 10 17:51:28 2015  memory use: 20.6 MB
Sat Jan 10 17:51:28 2015  reading ideals above 100000
Sat Jan 10 17:51:28 2015  commencing singleton removal, initial pass
Sat Jan 10 17:51:51 2015  memory use: 172.2 MB
Sat Jan 10 17:51:52 2015  reading all ideals from disk
Sat Jan 10 17:51:52 2015  memory use: 176.0 MB
Sat Jan 10 17:51:52 2015  keeping 5775631 ideals with weight <= 200, target excess is 27286
Sat Jan 10 17:51:52 2015  commencing in-memory singleton removal
Sat Jan 10 17:51:53 2015  begin with 5176522 relations and 5775631 unique ideals
Sat Jan 10 17:51:54 2015  reduce to 1832881 relations and 1834508 ideals in 21 passes
Sat Jan 10 17:51:54 2015  max relations containing the same ideal: 97
Sat Jan 10 17:57:29 2015  
Sat Jan 10 17:57:29 2015  commencing relation filtering
Sat Jan 10 17:57:29 2015  estimated available RAM is 15987.3 MB
Sat Jan 10 17:57:29 2015  commencing duplicate removal, pass 1
Sat Jan 10 17:57:48 2015  found 631301 hash collisions in 5720574 relations
Sat Jan 10 17:57:53 2015  added 36 free relations
Sat Jan 10 17:57:53 2015  commencing duplicate removal, pass 2
Sat Jan 10 17:57:57 2015  found 274313 duplicates and 5446297 unique relations
Sat Jan 10 17:57:57 2015  memory use: 20.6 MB
Sat Jan 10 17:57:57 2015  reading ideals above 100000
Sat Jan 10 17:57:57 2015  commencing singleton removal, initial pass
Sat Jan 10 17:58:22 2015  memory use: 172.2 MB
Sat Jan 10 17:58:22 2015  reading all ideals from disk
Sat Jan 10 17:58:22 2015  memory use: 185.2 MB
Sat Jan 10 17:58:22 2015  keeping 5884658 ideals with weight <= 200, target excess is 28612
Sat Jan 10 17:58:23 2015  commencing in-memory singleton removal
Sat Jan 10 17:58:23 2015  begin with 5446297 relations and 5884658 unique ideals
Sat Jan 10 17:58:25 2015  reduce to 2218923 relations and 2118569 ideals in 17 passes
Sat Jan 10 17:58:25 2015  max relations containing the same ideal: 111
Sat Jan 10 17:58:25 2015  removing 307261 relations and 273680 ideals in 33582 cliques
Sat Jan 10 17:58:25 2015  commencing in-memory singleton removal
Sat Jan 10 17:58:25 2015  begin with 1911662 relations and 2118569 unique ideals
Sat Jan 10 17:58:26 2015  reduce to 1874733 relations and 1807162 ideals in 10 passes
Sat Jan 10 17:58:26 2015  max relations containing the same ideal: 98
Sat Jan 10 17:58:26 2015  removing 229702 relations and 196120 ideals in 33582 cliques
Sat Jan 10 17:58:27 2015  commencing in-memory singleton removal
Sat Jan 10 17:58:27 2015  begin with 1645031 relations and 1807162 unique ideals
Sat Jan 10 17:58:27 2015  reduce to 1620237 relations and 1585782 ideals in 8 passes
Sat Jan 10 17:58:27 2015  max relations containing the same ideal: 90
Sat Jan 10 17:58:28 2015  relations with 0 large ideals: 87
Sat Jan 10 17:58:28 2015  relations with 1 large ideals: 167
Sat Jan 10 17:58:28 2015  relations with 2 large ideals: 2607
Sat Jan 10 17:58:28 2015  relations with 3 large ideals: 23568
Sat Jan 10 17:58:28 2015  relations with 4 large ideals: 112456
Sat Jan 10 17:58:28 2015  relations with 5 large ideals: 302366
Sat Jan 10 17:58:28 2015  relations with 6 large ideals: 470682
Sat Jan 10 17:58:28 2015  relations with 7+ large ideals: 708304
Sat Jan 10 17:58:28 2015  commencing 2-way merge
Sat Jan 10 17:58:28 2015  reduce to 928132 relation sets and 893677 unique ideals
Sat Jan 10 17:58:28 2015  commencing full merge
Sat Jan 10 17:58:36 2015  memory use: 101.1 MB
Sat Jan 10 17:58:36 2015  found 454508 cycles, need 449877
Sat Jan 10 17:58:37 2015  weight of 449877 cycles is about 31739238 (70.55/cycle)
Sat Jan 10 17:58:37 2015  distribution of cycle lengths:
Sat Jan 10 17:58:37 2015  1 relations: 51577
Sat Jan 10 17:58:37 2015  2 relations: 51069
Sat Jan 10 17:58:37 2015  3 relations: 50568
Sat Jan 10 17:58:37 2015  4 relations: 45396
Sat Jan 10 17:58:37 2015  5 relations: 40920
Sat Jan 10 17:58:37 2015  6 relations: 34879
Sat Jan 10 17:58:37 2015  7 relations: 30794
Sat Jan 10 17:58:37 2015  8 relations: 26251
Sat Jan 10 17:58:37 2015  9 relations: 22732
Sat Jan 10 17:58:37 2015  10+ relations: 95691
Sat Jan 10 17:58:37 2015  heaviest cycle: 24 relations
Sat Jan 10 17:58:37 2015  commencing cycle optimization
Sat Jan 10 17:58:37 2015  start with 2790123 relations
Sat Jan 10 17:58:39 2015  pruned 58201 relations
Sat Jan 10 17:58:39 2015  memory use: 93.5 MB
Sat Jan 10 17:58:39 2015  distribution of cycle lengths:
Sat Jan 10 17:58:39 2015  1 relations: 51577
Sat Jan 10 17:58:39 2015  2 relations: 52149
Sat Jan 10 17:58:39 2015  3 relations: 52117
Sat Jan 10 17:58:39 2015  4 relations: 46401
Sat Jan 10 17:58:39 2015  5 relations: 41633
Sat Jan 10 17:58:39 2015  6 relations: 35120
Sat Jan 10 17:58:39 2015  7 relations: 31045
Sat Jan 10 17:58:39 2015  8 relations: 26157
Sat Jan 10 17:58:39 2015  9 relations: 22680
Sat Jan 10 17:58:39 2015  10+ relations: 90998
Sat Jan 10 17:58:39 2015  heaviest cycle: 23 relations
Sat Jan 10 17:58:40 2015  RelProcTime: 71
Sat Jan 10 17:58:40 2015  
Sat Jan 10 17:58:40 2015  commencing linear algebra
Sat Jan 10 17:58:40 2015  read 449877 cycles
Sat Jan 10 17:58:40 2015  cycles contain 1573307 unique relations
Sat Jan 10 17:58:48 2015  read 1573307 relations
Sat Jan 10 17:58:49 2015  using 20 quadratic characters above 67108668
Sat Jan 10 17:58:54 2015  building initial matrix
Sat Jan 10 17:59:02 2015  memory use: 197.6 MB
Sat Jan 10 17:59:02 2015  read 449877 cycles
Sat Jan 10 17:59:02 2015  matrix is 449706 x 449877 (135.3 MB) with weight 42904907 (95.37/col)
Sat Jan 10 17:59:02 2015  sparse part has weight 30524507 (67.85/col)
Sat Jan 10 17:59:04 2015  filtering completed in 2 passes
Sat Jan 10 17:59:05 2015  matrix is 448927 x 449102 (135.2 MB) with weight 42872703 (95.46/col)
Sat Jan 10 17:59:05 2015  sparse part has weight 30514805 (67.95/col)
Sat Jan 10 17:59:05 2015  matrix starts at (0, 0)
Sat Jan 10 17:59:05 2015  matrix is 448927 x 449102 (135.2 MB) with weight 42872703 (95.46/col)
Sat Jan 10 17:59:05 2015  sparse part has weight 30514805 (67.95/col)
Sat Jan 10 17:59:05 2015  saving the first 48 matrix rows for later
Sat Jan 10 17:59:05 2015  matrix includes 64 packed rows
Sat Jan 10 17:59:05 2015  matrix is 448879 x 449102 (130.6 MB) with weight 33990743 (75.69/col)
Sat Jan 10 17:59:05 2015  sparse part has weight 29749311 (66.24/col)
Sat Jan 10 17:59:05 2015  using block size 65536 for processor cache size 8192 kB
Sat Jan 10 17:59:06 2015  commencing Lanczos iteration (8 threads)
Sat Jan 10 17:59:06 2015  memory use: 124.2 MB
Sat Jan 10 17:59:15 2015  linear algebra at 2.7%, ETA 0h 5m
Sat Jan 10 18:04:27 2015  lanczos halted after 7100 iterations (dim = 448878)
Sat Jan 10 18:04:27 2015  recovered 30 nontrivial dependencies
Sat Jan 10 18:04:27 2015  BLanczosTime: 347
Sat Jan 10 18:04:27 2015  
Sat Jan 10 18:04:27 2015  commencing square root phase
Sat Jan 10 18:04:27 2015  reading relations for dependency 1
Sat Jan 10 18:04:27 2015  read 224367 cycles
Sat Jan 10 18:04:27 2015  cycles contain 784664 unique relations
Sat Jan 10 18:04:33 2015  read 784664 relations
Sat Jan 10 18:04:35 2015  multiplying 784664 relations
Sat Jan 10 18:04:58 2015  multiply complete, coefficients have about 33.21 million bits
Sat Jan 10 18:04:58 2015  initial square root is modulo 58631
Sat Jan 10 18:05:29 2015  sqrtTime: 62
--
n: 2610225555138899215608808902555638216635547170842372412707862382072086217094304911925897591750068036939514617283
skew: 65570.14
c0: -2998340604886250091191132800
c1: 177802315444190324214680
c2: 212927785519441192
c3: -104988977306873
c4: -241368174
c5: 8280
Y0: -3160309654295616916947
Y1: 122020561703
rlim: 3720000
alim: 3720000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
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
351e6418118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 9, 2015 23:38:52 UTC 2015 年 1 月 10 日 (土) 8 時 38 分 52 秒 (日本時間)
403e6110 / 2126Ignacio SantosJanuary 9, 2015 23:38:52 UTC 2015 年 1 月 10 日 (土) 8 時 38 分 52 秒 (日本時間)
4511e632 / 4437Ignacio SantosJanuary 9, 2015 23:38:52 UTC 2015 年 1 月 10 日 (土) 8 時 38 分 52 秒 (日本時間)

673×10158-79

c116

name 名前Ignacio Santos
date 日付January 13, 2015 15:52:46 UTC 2015 年 1 月 14 日 (水) 0 時 52 分 46 秒 (日本時間)
composite number 合成数
33160013576918510953632691149304807185342250696869756969829537925908068728737148984373428526578361314146386192408643<116>
prime factors 素因数
11965388134608588614796820835555537900627<41>
2771327867000550102331264521160391452652258214939618566493585148904566589009<76>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:1390125708
Step 1 took 53359ms
Step 2 took 33641ms
********** Factor found in step 2: 11965388134608588614796820835555537900627
Found probable prime factor of 41 digits: 11965388134608588614796820835555537900627
Probable prime cofactor 2771327867000550102331264521160391452652258214939618566493585148904566589009 has 76 digits
software ソフトウェア
GMP-ECM 7.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

673×10164-79

c124

name 名前Jo Yeong Uk
date 日付February 22, 2015 02:26:12 UTC 2015 年 2 月 22 日 (日) 11 時 26 分 12 秒 (日本時間)
composite number 合成数
5278286949987537170655847304798942025774911399089362792903282543936496218526922939409872977439334852379791376853831116718843<124>
prime factors 素因数
1528580250536383528067311111174608512397400381982339435041<58>
3453064991606014789091049072930890046291710247713574602715308736923<67>
factorization results 素因数分解の結果
Number: 74777_164
N=5278286949987537170655847304798942025774911399089362792903282543936496218526922939409872977439334852379791376853831116718843
  ( 124 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=1528580250536383528067311111174608512397400381982339435041
 r2=3453064991606014789091049072930890046291710247713574602715308736923
Version: 
Total time: 21.63 hours.
Scaled time: 112.62 units (timescale=5.207).
Factorization parameters were as follows:
n: 5278286949987537170655847304798942025774911399089362792903282543936496218526922939409872977439334852379791376853831116718843
m: 1000000000000000000000000000000000
deg: 5
c5: 673
c0: -70
skew: 0.64
# Murphy_E = 2.166e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4

Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2200000, 5300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10387200
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 839027 x 839275
Total sieving time: 20.11 hours.
Total relation processing time: 0.77 hours.
Matrix solve time: 0.68 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 21.63 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.42 BogoMIPS (lpj=3400210)
Total of 12 processors activated (81605.04 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:02:31 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 31 秒 (日本時間)
4511e6590 / 4409Pierre JammesJanuary 15, 2015 20:52:53 UTC 2015 年 1 月 16 日 (金) 5 時 52 分 53 秒 (日本時間)

673×10166-79

c143

name 名前Ignacio Santos
date 日付February 18, 2015 18:35:24 UTC 2015 年 2 月 19 日 (木) 3 時 35 分 24 秒 (日本時間)
composite number 合成数
60731744752150256870380814190990442213992861024026580326156117175657772227614325745540811497203274058957427002257895704970028867437398434126361<143>
prime factors 素因数
329637305831432917799825863526522591317<39>
184238081302626386182524504299483863631739258969962569706412336316723367233393224859463303116650683223733<105>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:731618584
Step 1 took 10140ms
Step 2 took 6516ms
********** Factor found in step 2: 329637305831432917799825863526522591317
Found probable prime factor of 39 digits: 329637305831432917799825863526522591317
Probable prime cofactor 184238081302626386182524504299483863631739258969962569706412336316723367233393224859463303116650683223733 has 105 digits
software ソフトウェア
GMP-ECM 7.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:02:32 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 32 秒 (日本時間)

673×10168-79

c159

name 名前Jo Yeong Uk
date 日付March 26, 2015 13:10:33 UTC 2015 年 3 月 26 日 (木) 22 時 10 分 33 秒 (日本時間)
composite number 合成数
650766230133609614938462551515986080216165761987428250383088593842462720884749373686770512919118494365036961725771298305288707627352046714198648960124367217373<159>
prime factors 素因数
817353255523163971042085470602718189292011<42>
796187236957994543446813888830434520533666607232280701359772403369635192040252581854691848350892727963562278008441943<117>
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 650766230133609614938462551515986080216165761987428250383088593842462720884749373686770512919118494365036961725771298305288707627352046714198648960124367217373 (159 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2579959433
Step 1 took 30004ms
Step 2 took 9766ms
********** Factor found in step 2: 817353255523163971042085470602718189292011
Found probable prime factor of 42 digits: 817353255523163971042085470602718189292011
Probable prime cofactor 796187236957994543446813888830434520533666607232280701359772403369635192040252581854691848350892727963562278008441943 has 117 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
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovJanuary 9, 2015 00:02:33 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 33 秒 (日本時間)
2350Ignacio SantosFebruary 12, 2015 23:16:26 UTC 2015 年 2 月 13 日 (金) 8 時 16 分 26 秒 (日本時間)

673×10175-79

c163

name 名前Serge Batalov
date 日付January 9, 2015 03:48:21 UTC 2015 年 1 月 9 日 (金) 12 時 48 分 21 秒 (日本時間)
composite number 合成数
7370264122772917509179781279321460793727855974688460444492611716642042694308211771540146819284007643016870404156016851441104079458556951864805915437293564901416263<163>
prime factors 素因数
596943877053519589069743764813<30>
12346661731672522452085620308746596764172795839848715618249627070097861341383652657297365211870576957373212618886218272340274917671651<134>
factorization results 素因数分解の結果
Input number is 7370264122772917509179781279321460793727855974688460444492611716642042694308211771540146819284007643016870404156016851441104079458556951864805915437293564901416263 (163 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1768322591
Step 1 took 11735ms
Step 2 took 9811ms
********** Factor found in step 2: 596943877053519589069743764813
Found probable prime factor of 30 digits: 596943877053519589069743764813
Probable prime cofactor 12346661731672522452085620308746596764172795839848715618249627070097861341383652657297365211870576957373212618886218272340274917671651 has 134 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:02:33 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 33 秒 (日本時間)

673×10176-79

c149

name 名前Serge Batalov
date 日付January 9, 2015 03:48:25 UTC 2015 年 1 月 9 日 (金) 12 時 48 分 25 秒 (日本時間)
composite number 合成数
58615200211632224465258305544780938382489978872283778514518712246027887200028269634933334610998744555254901955375642264235969501211604259989003272753<149>
prime factors 素因数
3749445106902426988684413245520751<34>
15633033299707829700547644835985438294757246107656967928513735831674390120328164390663873363727832693906319117585503<116>
factorization results 素因数分解の結果
Input number is 58615200211632224465258305544780938382489978872283778514518712246027887200028269634933334610998744555254901955375642264235969501211604259989003272753 (149 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1787639139
Step 1 took 9223ms
Step 2 took 7774ms
********** Factor found in step 2: 3749445106902426988684413245520751
Found probable prime factor of 34 digits: 3749445106902426988684413245520751
Probable prime cofactor 15633033299707829700547644835985438294757246107656967928513735831674390120328164390663873363727832693906319117585503 has 116 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:02:34 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 34 秒 (日本時間)

673×10177-79

c140

name 名前Jo Yeong Uk
date 日付October 29, 2015 23:09:53 UTC 2015 年 10 月 30 日 (金) 8 時 9 分 53 秒 (日本時間)
composite number 合成数
71061759019925017168683552976623595896116488280201320587185639944810637293439385109444596709199449935605403775646634068552468075630233103149<140>
prime factors 素因数
48555655334894262496828970990800012522817441983277928507659946497<65>
1463511480378617470851625246652138175550127497800785336830280943977401379117<76>
factorization results 素因数分解の結果
Number: 74777_177
N=71061759019925017168683552976623595896116488280201320587185639944810637293439385109444596709199449935605403775646634068552468075630233103149
  ( 140 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=48555655334894262496828970990800012522817441983277928507659946497
 r2=1463511480378617470851625246652138175550127497800785336830280943977401379117
Version: 
Total time: 62.90 hours.
Scaled time: 330.73 units (timescale=5.258).
Factorization parameters were as follows:
n: 71061759019925017168683552976623595896116488280201320587185639944810637293439385109444596709199449935605403775646634068552468075630233103149
m: 100000000000000000000000000000000000
deg: 5
c5: 67300
c0: -7
skew: 0.16
# Murphy_E = 6.783e-11
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5

Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [5000000, 11500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19312548
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1664295 x 1664542
Total sieving time: 55.95 hours.
Total relation processing time: 3.18 hours.
Matrix solve time: 3.61 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,53,53,2.5,2.5,100000
total time: 62.90 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
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62412300Serge BatalovJanuary 9, 2015 00:02:34 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 34 秒 (日本時間)
1792Youcef LemsaferJanuary 20, 2015 07:21:26 UTC 2015 年 1 月 20 日 (火) 16 時 21 分 26 秒 (日本時間)
320Youcef LemsaferJanuary 20, 2015 07:53:30 UTC 2015 年 1 月 20 日 (火) 16 時 53 分 30 秒 (日本時間)

673×10178-79

c136

name 名前Jo Yeong Uk
date 日付November 27, 2015 00:23:33 UTC 2015 年 11 月 27 日 (金) 9 時 23 分 33 秒 (日本時間)
composite number 合成数
8255567555208171520036280483764063604180595400359893297934148796463812877996551696814638319281728280103941785542703762143295625272399273<136>
prime factors 素因数
1183998933485458574187560560059450509135191730226414018129659<61>
6972614013177709732647896667468458245504625285877307356440583247231045016747<76>
factorization results 素因数分解の結果
Number: 74777_178
N=8255567555208171520036280483764063604180595400359893297934148796463812877996551696814638319281728280103941785542703762143295625272399273
  ( 136 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=1183998933485458574187560560059450509135191730226414018129659
 r2=6972614013177709732647896667468458245504625285877307356440583247231045016747
Version: 
Total time: 80.20 hours.
Scaled time: 418.26 units (timescale=5.215).
Factorization parameters were as follows:
n: 8255567555208171520036280483764063604180595400359893297934148796463812877996551696814638319281728280103941785542703762143295625272399273
m: 200000000000000000000000000000000000
deg: 5
c5: 84125
c0: -28
skew: 0.20
# Murphy_E = 5.197e-11
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [2900000, 6800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18796982
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1472006 x 1472254
Total sieving time: 75.56 hours.
Total relation processing time: 1.89 hours.
Matrix solve time: 2.62 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,53,53,2.5,2.5,100000
total time: 80.20 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
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:02:35 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 35 秒 (日本時間)
4511e6585 / 4409560CypMay 13, 2015 18:43:46 UTC 2015 年 5 月 14 日 (木) 3 時 43 分 46 秒 (日本時間)
25KTakahashiMay 13, 2015 21:14:13 UTC 2015 年 5 月 14 日 (木) 6 時 14 分 13 秒 (日本時間)

673×10179-79

c179

name 名前Cyp
date 日付February 21, 2015 10:14:52 UTC 2015 年 2 月 21 日 (土) 19 時 14 分 52 秒 (日本時間)
composite number 合成数
66175024582104228121927236971484759095378564405113077679449360865290068829891838741396263520157325467059980334316617502458210422812192723697148475909537856440511307767944936086529<179>
prime factors 素因数
722724600377361333363332679853831398891830121519917151336701708050627771039<75>
91563265658249064866519446992217493519230111604845005032041139562713871385028921231030666973552574530911<104>
factorization results 素因数分解の結果
02/20/15 08:35:59 v1.34.3, 
02/20/15 08:35:59 v1.34.3, ****************************
02/20/15 08:35:59 v1.34.3, Starting factorization of 66175024582104228121927236971484759095378564405113077679449360865290068829891838741396263520157325467059980334316617502458210422812192723697148475909537856440511307767944936086529
02/20/15 08:35:59 v1.34.3, using pretesting plan: none
02/20/15 08:35:59 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
02/20/15 08:35:59 v1.34.3, ****************************
02/20/15 08:35:59 v1.34.3, nfs: commencing nfs on c179: 66175024582104228121927236971484759095378564405113077679449360865290068829891838741396263520157325467059980334316617502458210422812192723697148475909537856440511307767944936086529
02/20/15 08:35:59 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
02/20/15 08:35:59 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/20/15 08:46:21 v1.34.3, nfs: commencing lattice sieving with 8 threads
[118 lines snipped]
02/21/15 06:24:16 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/21/15 06:34:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/21/15 06:45:46 v1.34.3, nfs: commencing msieve filtering
02/21/15 06:49:55 v1.34.3, nfs: commencing msieve linear algebra
02/21/15 08:53:22 v1.34.3, 
02/21/15 08:53:22 v1.34.3, ****************************
02/21/15 08:53:22 v1.34.3, Starting factorization of 66175024582104228121927236971484759095378564405113077679449360865290068829891838741396263520157325467059980334316617502458210422812192723697148475909537856440511307767944936086529
02/21/15 08:53:22 v1.34.3, using pretesting plan: none
02/21/15 08:53:22 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
02/21/15 08:53:22 v1.34.3, ****************************
02/21/15 08:53:22 v1.34.3, nfs: commencing nfs on c179: 66175024582104228121927236971484759095378564405113077679449360865290068829891838741396263520157325467059980334316617502458210422812192723697148475909537856440511307767944936086529
02/21/15 08:53:22 v1.34.3, nfs: resuming with sieving at user specified special-q 13619853
02/21/15 08:53:22 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/21/15 09:34:17 v1.34.3, c179 cofactor = 66175024582104228121927236971484759095378564405113077679449360865290068829891838741396263520157325467059980334316617502458210422812192723697148475909537856440511307767944936086529
02/21/15 09:34:17 v1.34.3, Total factoring time = 2454.6639 seconds
02/21/15 10:03:56 v1.34.3, 
02/21/15 10:03:56 v1.34.3, ****************************
02/21/15 10:03:56 v1.34.3, Starting factorization of 66175024582104228121927236971484759095378564405113077679449360865290068829891838741396263520157325467059980334316617502458210422812192723697148475909537856440511307767944936086529
02/21/15 10:03:56 v1.34.3, using pretesting plan: none
02/21/15 10:03:56 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
02/21/15 10:03:56 v1.34.3, ****************************
02/21/15 10:03:56 v1.34.3, nfs: previous data file found - commencing search for last special-q
02/21/15 10:04:12 v1.34.3, nfs: parsing special-q from .dat file
02/21/15 10:04:12 v1.34.3, nfs: commencing nfs on c179: 66175024582104228121927236971484759095378564405113077679449360865290068829891838741396263520157325467059980334316617502458210422812192723697148475909537856440511307767944936086529
02/21/15 10:04:12 v1.34.3, nfs: resuming with filtering
02/21/15 10:04:12 v1.34.3, nfs: commencing msieve filtering
02/21/15 10:08:46 v1.34.3, nfs: commencing msieve linear algebra
02/21/15 11:11:59 v1.34.3, nfs: commencing msieve sqrt
02/21/15 11:14:51 v1.34.3, prp104 = 91563265658249064866519446992217493519230111604845005032041139562713871385028921231030666973552574530911
02/21/15 11:14:51 v1.34.3, prp75 = 722724600377361333363332679853831398891830121519917151336701708050627771039
02/21/15 11:14:52 v1.34.3, NFS elapsed time = 4255.4867 seconds.
02/21/15 11:14:52 v1.34.3, 
02/21/15 11:14:52 v1.34.3, 
02/21/15 11:14:52 v1.34.3, Total factoring time = 4255.4878 seconds
--
Sat Feb 21 06:45:46 2015  
Sat Feb 21 06:45:46 2015  commencing relation filtering
Sat Feb 21 06:45:46 2015  estimated available RAM is 15987.3 MB
Sat Feb 21 06:45:46 2015  commencing duplicate removal, pass 1
Sat Feb 21 06:46:48 2015  found 3798453 hash collisions in 21154187 relations
Sat Feb 21 06:47:06 2015  added 704966 free relations
Sat Feb 21 06:47:06 2015  commencing duplicate removal, pass 2
Sat Feb 21 06:47:24 2015  found 3200847 duplicates and 18658306 unique relations
Sat Feb 21 06:47:24 2015  memory use: 90.6 MB
Sat Feb 21 06:47:24 2015  reading ideals above 720000
Sat Feb 21 06:47:25 2015  commencing singleton removal, initial pass
Sat Feb 21 06:48:49 2015  memory use: 376.5 MB
Sat Feb 21 06:48:49 2015  reading all ideals from disk
Sat Feb 21 06:48:49 2015  memory use: 583.6 MB
Sat Feb 21 06:48:50 2015  keeping 20107338 ideals with weight <= 200, target excess is 115950
Sat Feb 21 06:48:51 2015  commencing in-memory singleton removal
Sat Feb 21 06:48:51 2015  begin with 18658306 relations and 20107338 unique ideals
Sat Feb 21 06:49:00 2015  reduce to 8276183 relations and 7508010 ideals in 18 passes
Sat Feb 21 06:49:00 2015  max relations containing the same ideal: 111
Sat Feb 21 06:49:03 2015  removing 1669460 relations and 1352625 ideals in 316835 cliques
Sat Feb 21 06:49:03 2015  commencing in-memory singleton removal
Sat Feb 21 06:49:04 2015  begin with 6606723 relations and 7508010 unique ideals
Sat Feb 21 06:49:07 2015  reduce to 6331440 relations and 5866755 ideals in 10 passes
Sat Feb 21 06:49:07 2015  max relations containing the same ideal: 93
Sat Feb 21 06:49:09 2015  removing 1322065 relations and 1005230 ideals in 316835 cliques
Sat Feb 21 06:49:09 2015  commencing in-memory singleton removal
Sat Feb 21 06:49:09 2015  begin with 5009375 relations and 5866755 unique ideals
Sat Feb 21 06:49:11 2015  reduce to 4798439 relations and 4639848 ideals in 8 passes
Sat Feb 21 06:49:11 2015  max relations containing the same ideal: 80
Sat Feb 21 06:49:12 2015  removing 167899 relations and 143811 ideals in 24088 cliques
Sat Feb 21 06:49:12 2015  commencing in-memory singleton removal
Sat Feb 21 06:49:12 2015  begin with 4630540 relations and 4639848 unique ideals
Sat Feb 21 06:49:14 2015  reduce to 4627311 relations and 4492787 ideals in 7 passes
Sat Feb 21 06:49:14 2015  max relations containing the same ideal: 73
Sat Feb 21 06:49:15 2015  relations with 0 large ideals: 2864
Sat Feb 21 06:49:15 2015  relations with 1 large ideals: 1113
Sat Feb 21 06:49:15 2015  relations with 2 large ideals: 19699
Sat Feb 21 06:49:15 2015  relations with 3 large ideals: 137349
Sat Feb 21 06:49:15 2015  relations with 4 large ideals: 503658
Sat Feb 21 06:49:15 2015  relations with 5 large ideals: 1055311
Sat Feb 21 06:49:15 2015  relations with 6 large ideals: 1362989
Sat Feb 21 06:49:15 2015  relations with 7+ large ideals: 1544328
Sat Feb 21 06:49:15 2015  commencing 2-way merge
Sat Feb 21 06:49:16 2015  reduce to 2837886 relation sets and 2703362 unique ideals
Sat Feb 21 06:49:16 2015  commencing full merge
Sat Feb 21 06:49:44 2015  memory use: 340.1 MB
Sat Feb 21 06:49:44 2015  found 1485656 cycles, need 1467562
Sat Feb 21 06:49:44 2015  weight of 1467562 cycles is about 103112720 (70.26/cycle)
Sat Feb 21 06:49:44 2015  distribution of cycle lengths:
Sat Feb 21 06:49:44 2015  1 relations: 157561
Sat Feb 21 06:49:44 2015  2 relations: 165997
Sat Feb 21 06:49:44 2015  3 relations: 169117
Sat Feb 21 06:49:44 2015  4 relations: 157177
Sat Feb 21 06:49:44 2015  5 relations: 144527
Sat Feb 21 06:49:44 2015  6 relations: 129292
Sat Feb 21 06:49:44 2015  7 relations: 112216
Sat Feb 21 06:49:44 2015  8 relations: 96298
Sat Feb 21 06:49:44 2015  9 relations: 80566
Sat Feb 21 06:49:44 2015  10+ relations: 254811
Sat Feb 21 06:49:44 2015  heaviest cycle: 21 relations
Sat Feb 21 06:49:45 2015  commencing cycle optimization
Sat Feb 21 06:49:46 2015  start with 8521749 relations
Sat Feb 21 06:49:53 2015  pruned 216295 relations
Sat Feb 21 06:49:53 2015  memory use: 276.9 MB
Sat Feb 21 06:49:53 2015  distribution of cycle lengths:
Sat Feb 21 06:49:53 2015  1 relations: 157561
Sat Feb 21 06:49:53 2015  2 relations: 169431
Sat Feb 21 06:49:53 2015  3 relations: 174818
Sat Feb 21 06:49:53 2015  4 relations: 161312
Sat Feb 21 06:49:53 2015  5 relations: 148490
Sat Feb 21 06:49:53 2015  6 relations: 131843
Sat Feb 21 06:49:53 2015  7 relations: 114065
Sat Feb 21 06:49:53 2015  8 relations: 96528
Sat Feb 21 06:49:53 2015  9 relations: 80000
Sat Feb 21 06:49:53 2015  10+ relations: 233514
Sat Feb 21 06:49:53 2015  heaviest cycle: 20 relations
Sat Feb 21 06:49:55 2015  RelProcTime: 249
Sat Feb 21 06:49:55 2015  
Sat Feb 21 06:49:55 2015  commencing linear algebra
Sat Feb 21 06:49:55 2015  read 1467562 cycles
Sat Feb 21 06:49:57 2015  cycles contain 4535946 unique relations
Sat Feb 21 06:50:21 2015  read 4535946 relations
Sat Feb 21 06:50:25 2015  using 20 quadratic characters above 268434624
Sat Feb 21 06:50:39 2015  building initial matrix
Sat Feb 21 06:51:08 2015  memory use: 573.2 MB
Sat Feb 21 06:51:08 2015  read 1467562 cycles
Sat Feb 21 06:51:08 2015  matrix is 1469175 x 1467562 (440.3 MB) with weight 131523452 (89.62/col)
Sat Feb 21 06:51:08 2015  sparse part has weight 99279312 (67.65/col)
Sat Feb 21 06:51:17 2015  filtering completed in 2 passes
Sat Feb 21 06:51:17 2015  matrix is 1467203 x 1466702 (440.1 MB) with weight 131470131 (89.64/col)
Sat Feb 21 06:51:17 2015  sparse part has weight 99244932 (67.67/col)
Sat Feb 21 06:51:22 2015  matrix starts at (0, 0)
Sat Feb 21 06:51:22 2015  matrix is 1467203 x 1466702 (440.1 MB) with weight 131470131 (89.64/col)
Sat Feb 21 06:51:22 2015  sparse part has weight 99244932 (67.67/col)
Sat Feb 21 06:51:22 2015  matrix needs more columns than rows; try adding 2-3% more relations
Sat Feb 21 10:04:12 2015  
Sat Feb 21 10:04:12 2015  commencing relation filtering
Sat Feb 21 10:04:12 2015  estimated available RAM is 15987.3 MB
Sat Feb 21 10:04:12 2015  commencing duplicate removal, pass 1
Sat Feb 21 10:05:27 2015  found 4027412 hash collisions in 22413847 relations
Sat Feb 21 10:05:43 2015  added 1487 free relations
Sat Feb 21 10:05:43 2015  commencing duplicate removal, pass 2
Sat Feb 21 10:06:03 2015  found 3340066 duplicates and 19075268 unique relations
Sat Feb 21 10:06:03 2015  memory use: 149.2 MB
Sat Feb 21 10:06:03 2015  reading ideals above 720000
Sat Feb 21 10:06:03 2015  commencing singleton removal, initial pass
Sat Feb 21 10:07:34 2015  memory use: 376.5 MB
Sat Feb 21 10:07:34 2015  reading all ideals from disk
Sat Feb 21 10:07:34 2015  memory use: 596.7 MB
Sat Feb 21 10:07:35 2015  keeping 20269627 ideals with weight <= 200, target excess is 116019
Sat Feb 21 10:07:36 2015  commencing in-memory singleton removal
Sat Feb 21 10:07:37 2015  begin with 19075268 relations and 20269627 unique ideals
Sat Feb 21 10:07:46 2015  reduce to 8785710 relations and 7830018 ideals in 16 passes
Sat Feb 21 10:07:46 2015  max relations containing the same ideal: 117
Sat Feb 21 10:07:49 2015  removing 1901747 relations and 1501747 ideals in 400000 cliques
Sat Feb 21 10:07:49 2015  commencing in-memory singleton removal
Sat Feb 21 10:07:49 2015  begin with 6883963 relations and 7830018 unique ideals
Sat Feb 21 10:07:52 2015  reduce to 6551613 relations and 5976883 ideals in 9 passes
Sat Feb 21 10:07:52 2015  max relations containing the same ideal: 98
Sat Feb 21 10:07:54 2015  removing 1525141 relations and 1125141 ideals in 400000 cliques
Sat Feb 21 10:07:55 2015  commencing in-memory singleton removal
Sat Feb 21 10:07:55 2015  begin with 5026472 relations and 5976883 unique ideals
Sat Feb 21 10:07:57 2015  reduce to 4762158 relations and 4571095 ideals in 9 passes
Sat Feb 21 10:07:57 2015  max relations containing the same ideal: 76
Sat Feb 21 10:07:59 2015  removing 321331 relations and 264851 ideals in 56480 cliques
Sat Feb 21 10:07:59 2015  commencing in-memory singleton removal
Sat Feb 21 10:07:59 2015  begin with 4440827 relations and 4571095 unique ideals
Sat Feb 21 10:08:02 2015  reduce to 4428041 relations and 4293309 ideals in 7 passes
Sat Feb 21 10:08:02 2015  max relations containing the same ideal: 70
Sat Feb 21 10:08:04 2015  relations with 0 large ideals: 2864
Sat Feb 21 10:08:04 2015  relations with 1 large ideals: 1140
Sat Feb 21 10:08:04 2015  relations with 2 large ideals: 20023
Sat Feb 21 10:08:04 2015  relations with 3 large ideals: 137783
Sat Feb 21 10:08:04 2015  relations with 4 large ideals: 497616
Sat Feb 21 10:08:04 2015  relations with 5 large ideals: 1024125
Sat Feb 21 10:08:04 2015  relations with 6 large ideals: 1299181
Sat Feb 21 10:08:04 2015  relations with 7+ large ideals: 1445309
Sat Feb 21 10:08:04 2015  commencing 2-way merge
Sat Feb 21 10:08:06 2015  reduce to 2747652 relation sets and 2612920 unique ideals
Sat Feb 21 10:08:06 2015  commencing full merge
Sat Feb 21 10:08:34 2015  memory use: 329.2 MB
Sat Feb 21 10:08:34 2015  found 1445398 cycles, need 1427120
Sat Feb 21 10:08:35 2015  weight of 1427120 cycles is about 99945638 (70.03/cycle)
Sat Feb 21 10:08:35 2015  distribution of cycle lengths:
Sat Feb 21 10:08:35 2015  1 relations: 144388
Sat Feb 21 10:08:35 2015  2 relations: 159408
Sat Feb 21 10:08:35 2015  3 relations: 164773
Sat Feb 21 10:08:35 2015  4 relations: 155135
Sat Feb 21 10:08:35 2015  5 relations: 143681
Sat Feb 21 10:08:35 2015  6 relations: 129727
Sat Feb 21 10:08:35 2015  7 relations: 113113
Sat Feb 21 10:08:35 2015  8 relations: 97704
Sat Feb 21 10:08:35 2015  9 relations: 80795
Sat Feb 21 10:08:35 2015  10+ relations: 238396
Sat Feb 21 10:08:35 2015  heaviest cycle: 20 relations
Sat Feb 21 10:08:35 2015  commencing cycle optimization
Sat Feb 21 10:08:37 2015  start with 8247312 relations
Sat Feb 21 10:08:44 2015  pruned 214850 relations
Sat Feb 21 10:08:44 2015  memory use: 266.5 MB
Sat Feb 21 10:08:44 2015  distribution of cycle lengths:
Sat Feb 21 10:08:44 2015  1 relations: 144388
Sat Feb 21 10:08:44 2015  2 relations: 162615
Sat Feb 21 10:08:44 2015  3 relations: 170626
Sat Feb 21 10:08:44 2015  4 relations: 159339
Sat Feb 21 10:08:44 2015  5 relations: 148007
Sat Feb 21 10:08:44 2015  6 relations: 132287
Sat Feb 21 10:08:44 2015  7 relations: 115337
Sat Feb 21 10:08:44 2015  8 relations: 98141
Sat Feb 21 10:08:44 2015  9 relations: 80158
Sat Feb 21 10:08:44 2015  10+ relations: 216222
Sat Feb 21 10:08:44 2015  heaviest cycle: 19 relations
Sat Feb 21 10:08:45 2015  RelProcTime: 273
Sat Feb 21 10:08:46 2015  
Sat Feb 21 10:08:46 2015  commencing linear algebra
Sat Feb 21 10:08:46 2015  read 1427120 cycles
Sat Feb 21 10:08:48 2015  cycles contain 4340820 unique relations
Sat Feb 21 10:09:14 2015  read 4340820 relations
Sat Feb 21 10:09:17 2015  using 20 quadratic characters above 268434624
Sat Feb 21 10:09:32 2015  building initial matrix
Sat Feb 21 10:10:01 2015  memory use: 552.0 MB
Sat Feb 21 10:10:02 2015  read 1427120 cycles
Sat Feb 21 10:10:02 2015  matrix is 1426975 x 1427120 (426.9 MB) with weight 127587343 (89.40/col)
Sat Feb 21 10:10:02 2015  sparse part has weight 96200076 (67.41/col)
Sat Feb 21 10:10:10 2015  filtering completed in 2 passes
Sat Feb 21 10:10:10 2015  matrix is 1426595 x 1426758 (426.8 MB) with weight 127574921 (89.42/col)
Sat Feb 21 10:10:10 2015  sparse part has weight 96195419 (67.42/col)
Sat Feb 21 10:10:14 2015  matrix starts at (0, 0)
Sat Feb 21 10:10:14 2015  matrix is 1426595 x 1426758 (426.8 MB) with weight 127574921 (89.42/col)
Sat Feb 21 10:10:14 2015  sparse part has weight 96195419 (67.42/col)
Sat Feb 21 10:10:14 2015  saving the first 48 matrix rows for later
Sat Feb 21 10:10:14 2015  matrix includes 64 packed rows
Sat Feb 21 10:10:14 2015  matrix is 1426547 x 1426758 (406.2 MB) with weight 101586918 (71.20/col)
Sat Feb 21 10:10:14 2015  sparse part has weight 92209997 (64.63/col)
Sat Feb 21 10:10:14 2015  using block size 65536 for processor cache size 8192 kB
Sat Feb 21 10:10:17 2015  commencing Lanczos iteration (8 threads)
Sat Feb 21 10:10:17 2015  memory use: 399.3 MB
Sat Feb 21 10:10:22 2015  linear algebra at 0.1%, ETA 1h 2m
Sat Feb 21 10:10:23 2015  checkpointing every 1460000 dimensions
Sat Feb 21 11:11:58 2015  lanczos halted after 22557 iterations (dim = 1426539)
Sat Feb 21 11:11:59 2015  recovered 36 nontrivial dependencies
Sat Feb 21 11:11:59 2015  BLanczosTime: 3793
Sat Feb 21 11:11:59 2015  
Sat Feb 21 11:11:59 2015  commencing square root phase
Sat Feb 21 11:11:59 2015  reading relations for dependency 1
Sat Feb 21 11:12:00 2015  read 713719 cycles
Sat Feb 21 11:12:00 2015  cycles contain 2170026 unique relations
Sat Feb 21 11:12:20 2015  read 2170026 relations
Sat Feb 21 11:12:26 2015  multiplying 2170026 relations
Sat Feb 21 11:13:31 2015  multiply complete, coefficients have about 75.90 million bits
Sat Feb 21 11:13:31 2015  initial square root is modulo 280591
Sat Feb 21 11:14:51 2015  sqrtTime: 172
--
n: 66175024582104228121927236971484759095378564405113077679449360865290068829891838741396263520157325467059980334316617502458210422812192723697148475909537856440511307767944936086529
m: 500000000000000000000000000000000000
deg: 5
c5: 10768
c0: -35
skew: 0.32
# Murphy_E = 5.462e-11
type: snfs
lss: 1
rlim: 7700000
alim: 7700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
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
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62401300Serge BatalovJanuary 9, 2015 00:02:36 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 36 秒 (日本時間)
1CypJanuary 9, 2015 00:54:08 UTC 2015 年 1 月 9 日 (金) 9 時 54 分 8 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:08:45 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 45 秒 (日本時間)

673×10183-79

c175

name 名前Serge Batalov
date 日付January 9, 2015 03:48:29 UTC 2015 年 1 月 9 日 (金) 12 時 48 分 29 秒 (日本時間)
composite number 合成数
1384188983149974995869629898913634802732565156952711048502037750540074836656472044609080629932567363961214626103299396704062391405105792549914608462367567167495405200286265537<175>
prime factors 素因数
379954158868269802622889256154549<33>
3643042064002972648113211986321823685013350373609353213753810051227311906096978254685332166473645893851236938062333423951650597424030046123613<142>
factorization results 素因数分解の結果
Input number is 1384188983149974995869629898913634802732565156952711048502037750540074836656472044609080629932567363961214626103299396704062391405105792549914608462367567167495405200286265537 (175 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2435331557
Step 1 took 15771ms
Step 2 took 11578ms
********** Factor found in step 2: 379954158868269802622889256154549
Found probable prime factor of 33 digits: 379954158868269802622889256154549
Probable prime cofactor 3643042064002972648113211986321823685013350373609353213753810051227311906096978254685332166473645893851236938062333423951650597424030046123613 has 142 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:02:36 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 36 秒 (日本時間)

673×10184-79

c180

name 名前Jo Yeong Uk
date 日付July 16, 2016 03:14:11 UTC 2016 年 7 月 16 日 (土) 12 時 14 分 11 秒 (日本時間)
composite number 合成数
429614385660046328134360909661542382033666830277613241213284647107530182644842766560884497502140252052781159474966535720457260358638003663021200288971530610088813996823917660604763<180>
prime factors 素因数
3087200470495558669676398235858653699644505865054090905751417692787132093434926259639<85>
139159860127607603330395331181133474647303476587761868431867944849392259818599539957529426293117<96>
factorization results 素因数分解の結果
Number: 74777_184
N=429614385660046328134360909661542382033666830277613241213284647107530182644842766560884497502140252052781159474966535720457260358638003663021200288971530610088813996823917660604763
  ( 180 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=3087200470495558669676398235858653699644505865054090905751417692787132093434926259639
 r2=139159860127607603330395331181133474647303476587761868431867944849392259818599539957529426293117
Version: 
Total time: 112.09 hours.
Scaled time: 586.67 units (timescale=5.234).
Factorization parameters were as follows:
n: 429614385660046328134360909661542382033666830277613241213284647107530182644842766560884497502140252052781159474966535720457260358638003663021200288971530610088813996823917660604763
m: 10000000000000000000000000000000000000
deg: 5
c5: 673
c0: -70
skew: 0.64
# Murphy_E = 3.42e-11
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3900000, 9000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 21146385
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1867261 x 1867509
Total sieving time: 104.15 hours.
Total relation processing time: 2.85 hours.
Matrix solve time: 4.92 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,54,54,2.5,2.5,100000
total time: 112.09 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49368528k/51380224k available (5398k kernel code, 1086460k absent, 925236k reserved, 7010k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.81 BogoMIPS (lpj=3399905)
Total of 12 processors activated (81597.72 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:02:37 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 37 秒 (日本時間)
1CypJanuary 9, 2015 00:23:39 UTC 2015 年 1 月 9 日 (金) 9 時 23 分 39 秒 (日本時間)
4511e6600 / 4409KTakahashiJune 4, 2015 08:54:30 UTC 2015 年 6 月 4 日 (木) 17 時 54 分 30 秒 (日本時間)

673×10185-79

c140

name 名前Serge Batalov
date 日付January 9, 2015 03:48:32 UTC 2015 年 1 月 9 日 (金) 12 時 48 分 32 秒 (日本時間)
composite number 合成数
15649757378189090549797300410179694481451980904112026539470261670488447597734116456638725923353631193233621593452753519593244646022998692431<140>
prime factors 素因数
21990528245752026073689986009339<32>
711659001698251583994362986977461340921274646239572385904040103743935790578790632389645617525071217866474429<108>
factorization results 素因数分解の結果
Input number is 15649757378189090549797300410179694481451980904112026539470261670488447597734116456638725923353631193233621593452753519593244646022998692431 (140 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3731799167
Step 1 took 9818ms
Step 2 took 8612ms
********** Factor found in step 2: 21990528245752026073689986009339
Found probable prime factor of 32 digits: 21990528245752026073689986009339
Probable prime cofactor 711659001698251583994362986977461340921274646239572385904040103743935790578790632389645617525071217866474429 has 108 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301 / 2318300Serge BatalovJanuary 9, 2015 00:02:38 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 38 秒 (日本時間)
1CypJanuary 9, 2015 00:38:52 UTC 2015 年 1 月 9 日 (金) 9 時 38 分 52 秒 (日本時間)

673×10187-79

c146

name 名前Jo Yeong Uk
date 日付November 10, 2017 12:34:32 UTC 2017 年 11 月 10 日 (金) 21 時 34 分 32 秒 (日本時間)
composite number 合成数
54485472370107915887712669581500748574256889472754775975002365787454760383942168430896759000213788379496709585396270195855510652983635032780813719<146>
prime factors 素因数
4567804061727078134334144618730946888484974465351<49>
11928154455361437098266759691005052825589778840757931313406213349809627646849750757772895242379569<98>
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 54485472370107915887712669581500748574256889472754775975002365787454760383942168430896759000213788379496709585396270195855510652983635032780813719 (146 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=7280389594
Step 1 took 24920ms
Step 2 took 8972ms
********** Factor found in step 2: 4567804061727078134334144618730946888484974465351
Found probable prime factor of 49 digits: 4567804061727078134334144618730946888484974465351
Probable prime cofactor 11928154455361437098266759691005052825589778840757931313406213349809627646849750757772895242379569 has 98 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
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:02:38 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 38 秒 (日本時間)
4511e6585 / 4409CypJune 3, 2015 05:21:55 UTC 2015 年 6 月 3 日 (水) 14 時 21 分 55 秒 (日本時間)

673×10188-79

c179

composite cofactor 合成数の残り
37177462733014542998731673903620063777702752450405533116933662739373123108488052404042861542906269337053426407177729792114345654095109229478415689903395851739054392854654859954343<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:02:39 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 39 秒 (日本時間)
4511e6585 / 4409CypJuly 21, 2015 15:53:49 UTC 2015 年 7 月 22 日 (水) 0 時 53 分 49 秒 (日本時間)

673×10189-79

c190

name 名前Serge Batalov
date 日付January 11, 2015 22:03:02 UTC 2015 年 1 月 12 日 (月) 7 時 3 分 2 秒 (日本時間)
composite number 合成数
2021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021<190>
prime factors 素因数
15303841730896982171823507260323418328518886247<47>
composite cofactor 合成数の残り
132059717851157221062850760778421100020760061944112841878904953147632283426585662080213358481569510257796225725996460915934018125738320381529243<144>
factorization results 素因数分解の結果
Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=2833680509
Step 1 took 218564ms
********** Factor found in step 1: 15303841730896982171823507260323418328518886247
Found probable prime factor of 47 digits: 15303841730896982171823507260323418328518886247
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:02:39 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 39 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:08:51 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 51 秒 (日本時間)
4511e60 / 436--
5043e61000 / 7462Serge BatalovJanuary 11, 2015 21:22:48 UTC 2015 年 1 月 12 日 (月) 6 時 22 分 48 秒 (日本時間)

673×10190-79

c149

name 名前Serge Batalov
date 日付January 9, 2015 03:48:36 UTC 2015 年 1 月 9 日 (金) 12 時 48 分 36 秒 (日本時間)
composite number 合成数
11599899787295999018321081765178040679792574766084323399922375560984198918705810618970881559798579259577932111920571610467467813731395899324523813803<149>
prime factors 素因数
999309229338121640363086636159<30>
11607918196631716163681545914228390050719697132180893473677782729926264287158587141859367190113834073662560935422984917<119>
factorization results 素因数分解の結果
Input number is 11599899787295999018321081765178040679792574766084323399922375560984198918705810618970881559798579259577932111920571610467467813731395899324523813803 (149 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=920260583
Step 1 took 9794ms
Step 2 took 8963ms
********** Factor found in step 2: 999309229338121640363086636159
Found probable prime factor of 30 digits: 999309229338121640363086636159
Probable prime cofactor 11607918196631716163681545914228390050719697132180893473677782729926264287158587141859367190113834073662560935422984917 has 119 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:02:40 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 40 秒 (日本時間)

673×10195-79

c160

name 名前Serge Batalov
date 日付January 9, 2015 03:48:40 UTC 2015 年 1 月 9 日 (金) 12 時 48 分 40 秒 (日本時間)
composite number 合成数
3677532648917231736520149672053166330834014641010898054516456119506343619066801747918440135218775492422929854244180283033088177852503278344637016318621922412397<160>
prime factors 素因数
2858401991791945682259462626669169551783<40>
composite cofactor 合成数の残り
1286569439665051864935688688828486214638686213502874084270532068811792005253644171678362279115484603737066347106774368459<121>
factorization results 素因数分解の結果
Input number is 3677532648917231736520149672053166330834014641010898054516456119506343619066801747918440135218775492422929854244180283033088177852503278344637016318621922412397 (160 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2292368845
Step 1 took 11093ms
Step 2 took 8584ms
********** Factor found in step 2: 2858401991791945682259462626669169551783
Found probable prime factor of 40 digits: 2858401991791945682259462626669169551783
Composite cofactor 1286569439665051864935688688828486214638686213502874084270532068811792005253644171678362279115484603737066347106774368459 has 121 digits

c121

name 名前Erik Branger
date 日付January 28, 2015 20:00:06 UTC 2015 年 1 月 29 日 (木) 5 時 0 分 6 秒 (日本時間)
composite number 合成数
1286569439665051864935688688828486214638686213502874084270532068811792005253644171678362279115484603737066347106774368459<121>
prime factors 素因数
141878557443076181826213752767408447659689957511223<51>
9068103474207107992922281232125004529335177647932538547645903516254733<70>
factorization results 素因数分解の結果
Number: 74777_195
N = 1286569439665051864935688688828486214638686213502874084270532068811792005253644171678362279115484603737066347106774368459 (121 digits)
Divisors found:
r1=141878557443076181826213752767408447659689957511223 (pp51)
r2=9068103474207107992922281232125004529335177647932538547645903516254733 (pp70)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 13.89 hours.
Factorization parameters were as follows:
# Murphy_E = 2.982e-10, selected by Erik Branger
# expecting poly E from 3.26e-010 to > 3.75e-010
n: 1286569439665051864935688688828486214638686213502874084270532068811792005253644171678362279115484603737066347106774368459
Y0: -204468504503284046836554
Y1: 1964144379253
c0: -8503680543574013007443479387375
c1: 107766014781300283528393041
c2: 49076057557458137633
c3: -1939513606361937
c4: -1184104258
c5: 3600
skew: 381344.04
type: gnfs
# selected mechanically
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 9754502
Relations: 1187886 relations
Pruned matrix : 684930 x 685156
Polynomial selection time: 0.00 hours.
Total sieving time: 13.48 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.28 hours.
time per square root: 0.08 hours.
Prototype def-par.txt line would be: gnfs,120,5,65,2000,1e-05,0.28,250,20,50000,3600,5300000,5300000,27,27,52,52,2.5,2.5,100000
total time: 13.89 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
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:02:41 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 41 秒 (日本時間)
4511e6600 / 4409Pierre JammesJanuary 16, 2015 07:52:57 UTC 2015 年 1 月 16 日 (金) 16 時 52 分 57 秒 (日本時間)

673×10198-79

c169

composite cofactor 合成数の残り
7435405569935297253460103097904572730883789729834383207105675190754574733637686553466046444415835930754916054325496228200569998143099826363630310688211851823157774717179<169>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:02:41 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 41 秒 (日本時間)
1CypJanuary 9, 2015 00:21:50 UTC 2015 年 1 月 9 日 (金) 9 時 21 分 50 秒 (日本時間)
4511e6585 / 4409CypJune 15, 2015 18:09:35 UTC 2015 年 6 月 16 日 (火) 3 時 9 分 35 秒 (日本時間)

673×10201-79

c181

name 名前Serge Batalov
date 日付January 9, 2015 03:48:43 UTC 2015 年 1 月 9 日 (金) 12 時 48 分 43 秒 (日本時間)
composite number 合成数
3423875742182489374271697032225159941272511970730584343053759262597861191538218952537394375500738389321052959555334512560258413890487965607048613330025438632116175092234673469289637<181>
prime factors 素因数
2056750940739287485274258312749907<34>
composite cofactor 合成数の残り
1664701191750420017549362651403580332121956655311166661530483142716228687012626563776764104997109743700960869887734990462820375772728327014987268391<148>
factorization results 素因数分解の結果
Input number is 3423875742182489374271697032225159941272511970730584343053759262597861191538218952537394375500738389321052959555334512560258413890487965607048613330025438632116175092234673469289637 (181 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1068318777
Step 1 took 15039ms
********** Factor found in step 1: 2056750940739287485274258312749907
Found probable prime factor of 34 digits: 2056750940739287485274258312749907
Composite cofactor 1664701191750420017549362651403580332121956655311166661530483142716228687012626563776764104997109743700960869887734990462820375772728327014987268391 has 148 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:02:42 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 42 秒 (日本時間)
4511e6585 / 4409CypJuly 21, 2015 12:11:14 UTC 2015 年 7 月 21 日 (火) 21 時 11 分 14 秒 (日本時間)

673×10203-79

c205

name 名前Jo Yeong Uk
date 日付July 18, 2015 11:18:40 UTC 2015 年 7 月 18 日 (土) 20 時 18 分 40 秒 (日本時間)
composite number 合成数
7477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<205>
prime factors 素因数
601297162122725474801142580770523436947825824192038710395100230689<66>
12436076949672272575046185232497024099679556465697611700443554323840781230992645298228820517247390898161982836160966025203359518156965453393<140>
factorization results 素因数分解の結果
Number: 74777_203
N=7477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
  ( 205 digits)
SNFS difficulty: 206 digits.
Divisors found:
 r1=601297162122725474801142580770523436947825824192038710395100230689
 r2=12436076949672272575046185232497024099679556465697611700443554323840781230992645298228820517247390898161982836160966025203359518156965453393
Version: 
Total time: 575.97 hours.
Scaled time: 3017.53 units (timescale=5.239).
Factorization parameters were as follows:
n: 7477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
m: 10000000000000000000000000000000000
deg: 6
c6: 673
c0: -70
skew: 0.69
# Murphy_E = 4.84e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [11000000, 31900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 42036163
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 4134595 x 4134843
Total sieving time: 524.86 hours.
Total relation processing time: 14.20 hours.
Matrix solve time: 34.98 hours.
Time per square root: 1.93 hours.
Prototype def-par.txt line would be:
snfs,206,6,0,0,0,0,0,0,0,0,22000000,22000000,29,29,56,56,2.6,2.6,100000
total time: 575.97 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.89 BogoMIPS (lpj=3399945)
Total of 12 processors activated (81598.68 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:02:43 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 43 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:09:00 UTC 2015 年 1 月 11 日 (日) 5 時 9 分 0 秒 (日本時間)
4511e6436KTakahashiMarch 9, 2015 01:19:18 UTC 2015 年 3 月 9 日 (月) 10 時 19 分 18 秒 (日本時間)
5043e61000 / 7364Serge BatalovJanuary 11, 2015 21:22:42 UTC 2015 年 1 月 12 日 (月) 6 時 22 分 42 秒 (日本時間)

673×10204-79

c205

composite cofactor 合成数の残り
2021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62401300Serge BatalovJanuary 9, 2015 00:02:43 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 43 秒 (日本時間)
1CypJanuary 9, 2015 00:09:59 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 59 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:09:01 UTC 2015 年 1 月 11 日 (日) 5 時 9 分 1 秒 (日本時間)
4511e60--
5043e63000 / 74621000Serge BatalovJanuary 11, 2015 21:22:48 UTC 2015 年 1 月 12 日 (月) 6 時 22 分 48 秒 (日本時間)
2000Serge BatalovFebruary 5, 2015 02:36:36 UTC 2015 年 2 月 5 日 (木) 11 時 36 分 36 秒 (日本時間)

673×10205-79

c173

composite cofactor 合成数の残り
11361689658488429965606330693681796629896034791372517853606581354376272319391734456195637162046398413189632887453458426151780579277614573286618593655636588396205691898540751<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:02:44 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 44 秒 (日本時間)
4511e6585 / 4409CypJune 5, 2015 19:12:29 UTC 2015 年 6 月 6 日 (土) 4 時 12 分 29 秒 (日本時間)

673×10206-79

c205

composite cofactor 合成数の残り
3106679591930942159442367169828740248349720721968333102525042699533767252919724876517564510917232146978719475603563680007385865300281586114573235470618104602317315237963347643447352628906430318977057655911<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:02:45 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 45 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:09:01 UTC 2015 年 1 月 11 日 (日) 5 時 9 分 1 秒 (日本時間)

673×10207-79

c161

composite cofactor 合成数の残り
31886240778289992467706125641228484901070201235513155636782013024013197019076909297258637832751168799630312206892555127941084478246783246457114659434748199190177<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:02:45 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 45 秒 (日本時間)
1CypJanuary 9, 2015 00:42:42 UTC 2015 年 1 月 9 日 (金) 9 時 42 分 42 秒 (日本時間)
4511e6585 / 4409CypJuly 21, 2015 11:40:19 UTC 2015 年 7 月 21 日 (火) 20 時 40 分 19 秒 (日本時間)

673×10208-79

c191

composite cofactor 合成数の残り
38273562416782183878203495102422911572504591484528417632392892753284719513650378777076209893379153030614108897553099746256467363190800814608053467910931654652886097481434639009635881165054957<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:02:46 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 46 秒 (日本時間)
1CypJanuary 9, 2015 00:30:16 UTC 2015 年 1 月 9 日 (金) 9 時 30 分 16 秒 (日本時間)
4511e6585 / 4409CypMay 22, 2015 14:25:14 UTC 2015 年 5 月 22 日 (金) 23 時 25 分 14 秒 (日本時間)

673×10210-79

c146

name 名前Serge Batalov
date 日付January 9, 2015 03:48:47 UTC 2015 年 1 月 9 日 (金) 12 時 48 分 47 秒 (日本時間)
composite number 合成数
14191012471034725564940927019652061098843886531174006302106283212028932647564030953673916050296248533219015461305694563524892435850243628267581263<146>
prime factors 素因数
41060775338202772281172817556277763<35>
composite cofactor 合成数の残り
345609949012128550449529179565114527721523354193025844068812250398209338765470445176574610503535508557652994501<111>
factorization results 素因数分解の結果
Input number is 14191012471034725564940927019652061098843886531174006302106283212028932647564030953673916050296248533219015461305694563524892435850243628267581263 (146 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2566626223
Step 1 took 9295ms
Step 2 took 7500ms
********** Factor found in step 2: 41060775338202772281172817556277763
Found probable prime factor of 35 digits: 41060775338202772281172817556277763
Composite cofactor 345609949012128550449529179565114527721523354193025844068812250398209338765470445176574610503535508557652994501 has 111 digits

c111

name 名前Cyp
date 日付January 10, 2015 13:10:26 UTC 2015 年 1 月 10 日 (土) 22 時 10 分 26 秒 (日本時間)
composite number 合成数
345609949012128550449529179565114527721523354193025844068812250398209338765470445176574610503535508557652994501<111>
prime factors 素因数
112723693662724900764326865676923281<36>
3065992053509276626018445670207093644582875140481570091554707948165111077621<76>
factorization results 素因数分解の結果
01/10/15 12:16:52 v1.34.3, 
01/10/15 12:16:52 v1.34.3, ****************************
01/10/15 12:16:52 v1.34.3, Starting factorization of 345609949012128550449529179565114527721523354193025844068812250398209338765470445176574610503535508557652994501
01/10/15 12:16:52 v1.34.3, using pretesting plan: none
01/10/15 12:16:52 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/10/15 12:16:52 v1.34.3, ****************************
01/10/15 12:16:52 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C111
01/10/15 12:16:52 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C111
01/10/15 12:16:52 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C111
01/10/15 12:16:52 v1.34.3, final ECM pretested depth: 0.00
01/10/15 12:16:52 v1.34.3, scheduler: switching to sieve method
01/10/15 12:16:52 v1.34.3, nfs: commencing nfs on c111: 345609949012128550449529179565114527721523354193025844068812250398209338765470445176574610503535508557652994501
01/10/15 12:16:52 v1.34.3, nfs: commencing poly selection with 8 threads
01/10/15 12:16:52 v1.34.3, nfs: setting deadline of 525 seconds
01/10/15 12:25:44 v1.34.3, nfs: completed 153 ranges of size 250 in 531.5109 seconds
01/10/15 12:25:44 v1.34.3, nfs: best poly = # norm 1.608741e-10 alpha -5.379128 e 9.162e-10 rroots 3
01/10/15 12:25:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 12:30:41 v1.34.3, nfs: commencing lattice sieving with 8 threads
[11 lines snipped]
01/10/15 13:32:31 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 13:38:06 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 13:43:28 v1.34.3, nfs: commencing msieve filtering
01/10/15 13:44:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 13:49:41 v1.34.3, nfs: commencing msieve filtering
01/10/15 13:50:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 13:55:51 v1.34.3, nfs: commencing msieve filtering
01/10/15 13:56:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 14:02:17 v1.34.3, nfs: commencing msieve filtering
01/10/15 14:03:25 v1.34.3, nfs: commencing msieve linear algebra
01/10/15 14:08:41 v1.34.3, nfs: commencing msieve sqrt
01/10/15 14:10:25 v1.34.3, prp76 = 3065992053509276626018445670207093644582875140481570091554707948165111077621
01/10/15 14:10:25 v1.34.3, prp36 = 112723693662724900764326865676923281
01/10/15 14:10:25 v1.34.3, NFS elapsed time = 6812.3549 seconds.
01/10/15 14:10:25 v1.34.3, 
01/10/15 14:10:25 v1.34.3, 
01/10/15 14:10:25 v1.34.3, Total factoring time = 6812.3772 seconds
--
Sat Jan 10 13:43:28 2015  
Sat Jan 10 13:43:28 2015  commencing relation filtering
Sat Jan 10 13:43:28 2015  estimated available RAM is 15987.3 MB
Sat Jan 10 13:43:28 2015  commencing duplicate removal, pass 1
Sat Jan 10 13:43:42 2015  found 438444 hash collisions in 4695093 relations
Sat Jan 10 13:43:47 2015  added 32393 free relations
Sat Jan 10 13:43:47 2015  commencing duplicate removal, pass 2
Sat Jan 10 13:43:51 2015  found 184319 duplicates and 4543167 unique relations
Sat Jan 10 13:43:51 2015  memory use: 20.6 MB
Sat Jan 10 13:43:51 2015  reading ideals above 100000
Sat Jan 10 13:43:51 2015  commencing singleton removal, initial pass
Sat Jan 10 13:44:12 2015  memory use: 172.2 MB
Sat Jan 10 13:44:12 2015  reading all ideals from disk
Sat Jan 10 13:44:12 2015  memory use: 153.4 MB
Sat Jan 10 13:44:13 2015  keeping 5468109 ideals with weight <= 200, target excess is 24756
Sat Jan 10 13:44:13 2015  commencing in-memory singleton removal
Sat Jan 10 13:44:13 2015  begin with 4543167 relations and 5468109 unique ideals
Sat Jan 10 13:44:15 2015  reduce to 816445 relations and 972704 ideals in 51 passes
Sat Jan 10 13:44:15 2015  max relations containing the same ideal: 57
Sat Jan 10 13:49:41 2015  
Sat Jan 10 13:49:41 2015  commencing relation filtering
Sat Jan 10 13:49:41 2015  estimated available RAM is 15987.3 MB
Sat Jan 10 13:49:41 2015  commencing duplicate removal, pass 1
Sat Jan 10 13:49:57 2015  found 495547 hash collisions in 5033991 relations
Sat Jan 10 13:50:02 2015  added 68 free relations
Sat Jan 10 13:50:02 2015  commencing duplicate removal, pass 2
Sat Jan 10 13:50:06 2015  found 207200 duplicates and 4826859 unique relations
Sat Jan 10 13:50:06 2015  memory use: 20.6 MB
Sat Jan 10 13:50:06 2015  reading ideals above 100000
Sat Jan 10 13:50:06 2015  commencing singleton removal, initial pass
Sat Jan 10 13:50:27 2015  memory use: 172.2 MB
Sat Jan 10 13:50:27 2015  reading all ideals from disk
Sat Jan 10 13:50:27 2015  memory use: 163.0 MB
Sat Jan 10 13:50:28 2015  keeping 5602712 ideals with weight <= 200, target excess is 25841
Sat Jan 10 13:50:28 2015  commencing in-memory singleton removal
Sat Jan 10 13:50:28 2015  begin with 4826859 relations and 5602712 unique ideals
Sat Jan 10 13:50:30 2015  reduce to 1325916 relations and 1417737 ideals in 30 passes
Sat Jan 10 13:50:30 2015  max relations containing the same ideal: 82
Sat Jan 10 13:55:51 2015  
Sat Jan 10 13:55:51 2015  commencing relation filtering
Sat Jan 10 13:55:51 2015  estimated available RAM is 15987.3 MB
Sat Jan 10 13:55:51 2015  commencing duplicate removal, pass 1
Sat Jan 10 13:56:08 2015  found 550590 hash collisions in 5337178 relations
Sat Jan 10 13:56:13 2015  added 52 free relations
Sat Jan 10 13:56:13 2015  commencing duplicate removal, pass 2
Sat Jan 10 13:56:17 2015  found 230774 duplicates and 5106456 unique relations
Sat Jan 10 13:56:17 2015  memory use: 20.6 MB
Sat Jan 10 13:56:17 2015  reading ideals above 100000
Sat Jan 10 13:56:17 2015  commencing singleton removal, initial pass
Sat Jan 10 13:56:39 2015  memory use: 172.2 MB
Sat Jan 10 13:56:40 2015  reading all ideals from disk
Sat Jan 10 13:56:40 2015  memory use: 172.5 MB
Sat Jan 10 13:56:40 2015  keeping 5726202 ideals with weight <= 200, target excess is 27036
Sat Jan 10 13:56:40 2015  commencing in-memory singleton removal
Sat Jan 10 13:56:40 2015  begin with 5106456 relations and 5726202 unique ideals
Sat Jan 10 13:56:42 2015  reduce to 1739264 relations and 1745761 ideals in 18 passes
Sat Jan 10 13:56:42 2015  max relations containing the same ideal: 102
Sat Jan 10 14:02:17 2015  
Sat Jan 10 14:02:17 2015  commencing relation filtering
Sat Jan 10 14:02:17 2015  estimated available RAM is 15987.3 MB
Sat Jan 10 14:02:17 2015  commencing duplicate removal, pass 1
Sat Jan 10 14:02:34 2015  found 610426 hash collisions in 5655278 relations
Sat Jan 10 14:02:39 2015  added 44 free relations
Sat Jan 10 14:02:39 2015  commencing duplicate removal, pass 2
Sat Jan 10 14:02:44 2015  found 256905 duplicates and 5398417 unique relations
Sat Jan 10 14:02:44 2015  memory use: 20.6 MB
Sat Jan 10 14:02:44 2015  reading ideals above 100000
Sat Jan 10 14:02:44 2015  commencing singleton removal, initial pass
Sat Jan 10 14:03:07 2015  memory use: 172.2 MB
Sat Jan 10 14:03:08 2015  reading all ideals from disk
Sat Jan 10 14:03:08 2015  memory use: 182.5 MB
Sat Jan 10 14:03:08 2015  keeping 5846121 ideals with weight <= 200, target excess is 28381
Sat Jan 10 14:03:08 2015  commencing in-memory singleton removal
Sat Jan 10 14:03:09 2015  begin with 5398417 relations and 5846121 unique ideals
Sat Jan 10 14:03:10 2015  reduce to 2155369 relations and 2054414 ideals in 17 passes
Sat Jan 10 14:03:10 2015  max relations containing the same ideal: 116
Sat Jan 10 14:03:11 2015  removing 308884 relations and 274867 ideals in 34017 cliques
Sat Jan 10 14:03:11 2015  commencing in-memory singleton removal
Sat Jan 10 14:03:11 2015  begin with 1846485 relations and 2054414 unique ideals
Sat Jan 10 14:03:12 2015  reduce to 1808083 relations and 1740287 ideals in 12 passes
Sat Jan 10 14:03:12 2015  max relations containing the same ideal: 99
Sat Jan 10 14:03:12 2015  removing 230253 relations and 196236 ideals in 34017 cliques
Sat Jan 10 14:03:12 2015  commencing in-memory singleton removal
Sat Jan 10 14:03:12 2015  begin with 1577830 relations and 1740287 unique ideals
Sat Jan 10 14:03:13 2015  reduce to 1551756 relations and 1517486 ideals in 9 passes
Sat Jan 10 14:03:13 2015  max relations containing the same ideal: 90
Sat Jan 10 14:03:13 2015  relations with 0 large ideals: 95
Sat Jan 10 14:03:13 2015  relations with 1 large ideals: 180
Sat Jan 10 14:03:13 2015  relations with 2 large ideals: 2836
Sat Jan 10 14:03:13 2015  relations with 3 large ideals: 24576
Sat Jan 10 14:03:13 2015  relations with 4 large ideals: 114263
Sat Jan 10 14:03:13 2015  relations with 5 large ideals: 300390
Sat Jan 10 14:03:13 2015  relations with 6 large ideals: 455887
Sat Jan 10 14:03:13 2015  relations with 7+ large ideals: 653529
Sat Jan 10 14:03:13 2015  commencing 2-way merge
Sat Jan 10 14:03:14 2015  reduce to 884728 relation sets and 850459 unique ideals
Sat Jan 10 14:03:14 2015  ignored 1 oversize relation sets
Sat Jan 10 14:03:14 2015  commencing full merge
Sat Jan 10 14:03:21 2015  memory use: 95.1 MB
Sat Jan 10 14:03:21 2015  found 433259 cycles, need 428659
Sat Jan 10 14:03:21 2015  weight of 428659 cycles is about 30042273 (70.08/cycle)
Sat Jan 10 14:03:21 2015  distribution of cycle lengths:
Sat Jan 10 14:03:21 2015  1 relations: 48587
Sat Jan 10 14:03:21 2015  2 relations: 48649
Sat Jan 10 14:03:21 2015  3 relations: 48629
Sat Jan 10 14:03:21 2015  4 relations: 43132
Sat Jan 10 14:03:21 2015  5 relations: 39457
Sat Jan 10 14:03:21 2015  6 relations: 33158
Sat Jan 10 14:03:21 2015  7 relations: 29729
Sat Jan 10 14:03:21 2015  8 relations: 25191
Sat Jan 10 14:03:21 2015  9 relations: 21417
Sat Jan 10 14:03:21 2015  10+ relations: 90710
Sat Jan 10 14:03:21 2015  heaviest cycle: 23 relations
Sat Jan 10 14:03:22 2015  commencing cycle optimization
Sat Jan 10 14:03:22 2015  start with 2650853 relations
Sat Jan 10 14:03:24 2015  pruned 53980 relations
Sat Jan 10 14:03:24 2015  memory use: 89.2 MB
Sat Jan 10 14:03:24 2015  distribution of cycle lengths:
Sat Jan 10 14:03:24 2015  1 relations: 48587
Sat Jan 10 14:03:24 2015  2 relations: 49610
Sat Jan 10 14:03:24 2015  3 relations: 50249
Sat Jan 10 14:03:24 2015  4 relations: 43885
Sat Jan 10 14:03:24 2015  5 relations: 40201
Sat Jan 10 14:03:24 2015  6 relations: 33523
Sat Jan 10 14:03:24 2015  7 relations: 29902
Sat Jan 10 14:03:24 2015  8 relations: 25031
Sat Jan 10 14:03:24 2015  9 relations: 21315
Sat Jan 10 14:03:24 2015  10+ relations: 86356
Sat Jan 10 14:03:24 2015  heaviest cycle: 23 relations
Sat Jan 10 14:03:25 2015  RelProcTime: 68
Sat Jan 10 14:03:25 2015  
Sat Jan 10 14:03:25 2015  commencing linear algebra
Sat Jan 10 14:03:25 2015  read 428659 cycles
Sat Jan 10 14:03:25 2015  cycles contain 1503763 unique relations
Sat Jan 10 14:03:32 2015  read 1503763 relations
Sat Jan 10 14:03:33 2015  using 20 quadratic characters above 67107810
Sat Jan 10 14:03:38 2015  building initial matrix
Sat Jan 10 14:03:46 2015  memory use: 189.9 MB
Sat Jan 10 14:03:46 2015  read 428659 cycles
Sat Jan 10 14:03:46 2015  matrix is 428489 x 428659 (129.8 MB) with weight 41075016 (95.82/col)
Sat Jan 10 14:03:46 2015  sparse part has weight 28876415 (67.36/col)
Sat Jan 10 14:03:48 2015  filtering completed in 2 passes
Sat Jan 10 14:03:48 2015  matrix is 427716 x 427889 (129.7 MB) with weight 41043021 (95.92/col)
Sat Jan 10 14:03:48 2015  sparse part has weight 28867423 (67.46/col)
Sat Jan 10 14:03:49 2015  matrix starts at (0, 0)
Sat Jan 10 14:03:49 2015  matrix is 427716 x 427889 (129.7 MB) with weight 41043021 (95.92/col)
Sat Jan 10 14:03:49 2015  sparse part has weight 28867423 (67.46/col)
Sat Jan 10 14:03:49 2015  saving the first 48 matrix rows for later
Sat Jan 10 14:03:49 2015  matrix includes 64 packed rows
Sat Jan 10 14:03:49 2015  matrix is 427668 x 427889 (124.2 MB) with weight 32762300 (76.57/col)
Sat Jan 10 14:03:49 2015  sparse part has weight 28285719 (66.11/col)
Sat Jan 10 14:03:49 2015  using block size 65536 for processor cache size 8192 kB
Sat Jan 10 14:03:50 2015  commencing Lanczos iteration (8 threads)
Sat Jan 10 14:03:50 2015  memory use: 118.0 MB
Sat Jan 10 14:03:59 2015  linear algebra at 2.8%, ETA 0h 5m
Sat Jan 10 14:08:40 2015  lanczos halted after 6767 iterations (dim = 427664)
Sat Jan 10 14:08:41 2015  recovered 34 nontrivial dependencies
Sat Jan 10 14:08:41 2015  BLanczosTime: 316
Sat Jan 10 14:08:41 2015  
Sat Jan 10 14:08:41 2015  commencing square root phase
Sat Jan 10 14:08:41 2015  reading relations for dependency 1
Sat Jan 10 14:08:41 2015  read 213745 cycles
Sat Jan 10 14:08:41 2015  cycles contain 749638 unique relations
Sat Jan 10 14:08:46 2015  read 749638 relations
Sat Jan 10 14:08:48 2015  multiplying 749638 relations
Sat Jan 10 14:09:08 2015  multiply complete, coefficients have about 28.58 million bits
Sat Jan 10 14:09:08 2015  initial square root is modulo 161307187
Sat Jan 10 14:09:32 2015  GCD is N, no factor found
Sat Jan 10 14:09:32 2015  reading relations for dependency 2
Sat Jan 10 14:09:32 2015  read 213996 cycles
Sat Jan 10 14:09:33 2015  cycles contain 751682 unique relations
Sat Jan 10 14:09:38 2015  read 751682 relations
Sat Jan 10 14:09:40 2015  multiplying 751682 relations
Sat Jan 10 14:09:58 2015  multiply complete, coefficients have about 28.66 million bits
Sat Jan 10 14:09:58 2015  initial square root is modulo 169933927
Sat Jan 10 14:10:25 2015  sqrtTime: 104
--
n: 345609949012128550449529179565114527721523354193025844068812250398209338765470445176574610503535508557652994501
skew: 92384.65
c0: -180863013759816192512912145
c1: -35616190457808188800995
c2: -184256468925638938
c3: 539508571409
c4: -68496771
c5: 360
Y0: -3948724856138693486548
Y1: 30219490159
rlim: 3460000
alim: 3460000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
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
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301 / 2318300Serge BatalovJanuary 9, 2015 00:02:46 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 46 秒 (日本時間)
1CypJanuary 9, 2015 00:28:28 UTC 2015 年 1 月 9 日 (金) 9 時 28 分 28 秒 (日本時間)

673×10211-79

c152

composite cofactor 合成数の残り
55314487935012751736069416016483118470611736496825182891544797625258765637112336053581426486407736955073759350349470159462413206449019239065717660314417<152>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:02:47 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 47 秒 (日本時間)
1CypJanuary 9, 2015 00:15:40 UTC 2015 年 1 月 9 日 (金) 9 時 15 分 40 秒 (日本時間)
4511e6585 / 4409CypJuly 6, 2015 06:04:05 UTC 2015 年 7 月 6 日 (月) 15 時 4 分 5 秒 (日本時間)

673×10214-79

c197

composite cofactor 合成数の残り
13742914166894001847658317566708404832078202630094777927114587852085598064620804198621422408109645343430000504703289518331274550822755885553319687927424254074560486839578563709110676722298166362569<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:02:47 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 47 秒 (日本時間)
1CypJanuary 9, 2015 00:23:14 UTC 2015 年 1 月 9 日 (金) 9 時 23 分 14 秒 (日本時間)
4511e6585 / 4409CypJanuary 26, 2015 17:43:55 UTC 2015 年 1 月 27 日 (火) 2 時 43 分 55 秒 (日本時間)

673×10215-79

c217

name 名前Alfred Reich
date 日付February 25, 2017 15:39:04 UTC 2017 年 2 月 26 日 (日) 0 時 39 分 4 秒 (日本時間)
composite number 合成数
7477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<217>
prime factors 素因数
2899708525743448138750513834273051718459701701632174373080214267013049817300144137674371511<91>
2578803252599525084828617275190913720452916922012049839314915483801266096903330520458763162421202434048621007185106449704125207<127>
factorization results 素因数分解の結果
# siever: 14e
# qrange: 10M .. 50M
# params: lim: 31000000, lpb: 30, mfb: 58, lambda: 2.6
Mon Feb 20 10:34:16 2017  
Mon Feb 20 10:34:16 2017  
Mon Feb 20 10:34:16 2017  Msieve v. 1.53 (SVN 988)
Mon Feb 20 10:34:16 2017  random seeds: 55abfb38 d33b91b7
Mon Feb 20 10:34:16 2017  factoring 7477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (217 digits)
Mon Feb 20 10:34:18 2017  searching for 15-digit factors
Mon Feb 20 10:34:19 2017  commencing number field sieve (217-digit input)
Mon Feb 20 10:34:19 2017  R0: -1000000000000000000000000000000000000
Mon Feb 20 10:34:19 2017  R1: 1
Mon Feb 20 10:34:19 2017  A0: -70
Mon Feb 20 10:34:19 2017  A1: 0
Mon Feb 20 10:34:19 2017  A2: 0
Mon Feb 20 10:34:19 2017  A3: 0
Mon Feb 20 10:34:19 2017  A4: 0
Mon Feb 20 10:34:19 2017  A5: 0
Mon Feb 20 10:34:19 2017  A6: 673
Mon Feb 20 10:34:19 2017  skew 0.69, size 4.419e-011, alpha 0.167, combined = 1.884e-012 rroots = 2
Mon Feb 20 10:34:19 2017  
Mon Feb 20 10:34:19 2017  commencing relation filtering
Mon Feb 20 10:34:19 2017  estimated available RAM is 24567.3 MB
Mon Feb 20 10:34:19 2017  commencing duplicate removal, pass 1
Mon Feb 20 10:50:34 2017  skipped 3 relations with b > 2^32
Mon Feb 20 10:50:34 2017  skipped 9 relations with composite factors
Mon Feb 20 10:50:34 2017  found 15984555 hash collisions in 84325912 relations
Mon Feb 20 10:50:53 2017  added 1219867 free relations
Mon Feb 20 10:50:54 2017  commencing duplicate removal, pass 2
Mon Feb 20 10:51:46 2017  found 17694674 duplicates and 67851105 unique relations
Mon Feb 20 10:51:46 2017  memory use: 426.4 MB
Mon Feb 20 10:51:47 2017  reading ideals above 720000
Mon Feb 20 10:51:48 2017  commencing singleton removal, initial pass
Mon Feb 20 11:04:13 2017  memory use: 1506.0 MB
Mon Feb 20 11:04:13 2017  reading all ideals from disk
Mon Feb 20 11:04:15 2017  memory use: 2469.7 MB
Mon Feb 20 11:04:23 2017  keeping 72888662 ideals with weight <= 200, target excess is 361534
Mon Feb 20 11:04:32 2017  commencing in-memory singleton removal
Mon Feb 20 11:04:39 2017  begin with 67851105 relations and 72888662 unique ideals
Mon Feb 20 11:05:46 2017  reduce to 26948270 relations and 25769225 ideals in 19 passes
Mon Feb 20 11:05:47 2017  max relations containing the same ideal: 112
Mon Feb 20 11:06:04 2017  removing 3492705 relations and 3112872 ideals in 379833 cliques
Mon Feb 20 11:06:05 2017  commencing in-memory singleton removal
Mon Feb 20 11:06:08 2017  begin with 23455565 relations and 25769225 unique ideals
Mon Feb 20 11:06:38 2017  reduce to 23020975 relations and 22212777 ideals in 12 passes
Mon Feb 20 11:06:38 2017  max relations containing the same ideal: 101
Mon Feb 20 11:06:53 2017  removing 2608011 relations and 2228178 ideals in 379833 cliques
Mon Feb 20 11:06:54 2017  commencing in-memory singleton removal
Mon Feb 20 11:06:56 2017  begin with 20412964 relations and 22212777 unique ideals
Mon Feb 20 11:07:18 2017  reduce to 20148766 relations and 19715737 ideals in 10 passes
Mon Feb 20 11:07:18 2017  max relations containing the same ideal: 90
Mon Feb 20 11:07:30 2017  removing 157700 relations and 144051 ideals in 13649 cliques
Mon Feb 20 11:07:31 2017  commencing in-memory singleton removal
Mon Feb 20 11:07:33 2017  begin with 19991066 relations and 19715737 unique ideals
Mon Feb 20 11:07:45 2017  reduce to 19990196 relations and 19570814 ideals in 6 passes
Mon Feb 20 11:07:45 2017  max relations containing the same ideal: 90
Mon Feb 20 11:07:50 2017  relations with 0 large ideals: 12756
Mon Feb 20 11:07:50 2017  relations with 1 large ideals: 7069
Mon Feb 20 11:07:50 2017  relations with 2 large ideals: 66449
Mon Feb 20 11:07:50 2017  relations with 3 large ideals: 469743
Mon Feb 20 11:07:50 2017  relations with 4 large ideals: 1807222
Mon Feb 20 11:07:50 2017  relations with 5 large ideals: 4067704
Mon Feb 20 11:07:50 2017  relations with 6 large ideals: 5515230
Mon Feb 20 11:07:50 2017  relations with 7+ large ideals: 8044023
Mon Feb 20 11:07:50 2017  commencing 2-way merge
Mon Feb 20 11:08:08 2017  reduce to 11690852 relation sets and 11271470 unique ideals
Mon Feb 20 11:08:08 2017  commencing full merge
Mon Feb 20 11:11:54 2017  memory use: 1402.7 MB
Mon Feb 20 11:11:56 2017  found 6206229 cycles, need 6151670
Mon Feb 20 11:11:56 2017  weight of 6151670 cycles is about 430844188 (70.04/cycle)
Mon Feb 20 11:11:57 2017  distribution of cycle lengths:
Mon Feb 20 11:11:57 2017  1 relations: 915239
Mon Feb 20 11:11:57 2017  2 relations: 808919
Mon Feb 20 11:11:57 2017  3 relations: 752640
Mon Feb 20 11:11:57 2017  4 relations: 647389
Mon Feb 20 11:11:57 2017  5 relations: 553166
Mon Feb 20 11:11:57 2017  6 relations: 464541
Mon Feb 20 11:11:57 2017  7 relations: 392944
Mon Feb 20 11:11:57 2017  8 relations: 328268
Mon Feb 20 11:11:57 2017  9 relations: 271453
Mon Feb 20 11:11:57 2017  10+ relations: 1017111
Mon Feb 20 11:11:57 2017  heaviest cycle: 23 relations
Mon Feb 20 11:11:58 2017  commencing cycle optimization
Mon Feb 20 11:12:07 2017  start with 33740778 relations
Mon Feb 20 11:13:09 2017  pruned 660308 relations
Mon Feb 20 11:13:10 2017  memory use: 1151.0 MB
Mon Feb 20 11:13:10 2017  distribution of cycle lengths:
Mon Feb 20 11:13:10 2017  1 relations: 915239
Mon Feb 20 11:13:10 2017  2 relations: 823672
Mon Feb 20 11:13:10 2017  3 relations: 774373
Mon Feb 20 11:13:10 2017  4 relations: 657676
Mon Feb 20 11:13:10 2017  5 relations: 561825
Mon Feb 20 11:13:10 2017  6 relations: 467811
Mon Feb 20 11:13:10 2017  7 relations: 393975
Mon Feb 20 11:13:10 2017  8 relations: 325971
Mon Feb 20 11:13:10 2017  9 relations: 268523
Mon Feb 20 11:13:10 2017  10+ relations: 962605
Mon Feb 20 11:13:10 2017  heaviest cycle: 23 relations
Mon Feb 20 11:13:23 2017  RelProcTime: 2344
Mon Feb 20 11:13:23 2017  
Mon Feb 20 11:13:23 2017  commencing linear algebra
Mon Feb 20 11:13:24 2017  read 6151670 cycles
Mon Feb 20 11:13:36 2017  cycles contain 19568900 unique relations
Mon Feb 20 11:16:50 2017  read 19568900 relations
Mon Feb 20 11:17:25 2017  using 20 quadratic characters above 4294917295
Mon Feb 20 11:19:02 2017  building initial matrix
Mon Feb 20 11:22:11 2017  memory use: 2510.8 MB
Mon Feb 20 11:22:20 2017  read 6151670 cycles
Mon Feb 20 11:22:21 2017  matrix is 6151403 x 6151670 (1854.0 MB) with weight 551016810 (89.57/col)
Mon Feb 20 11:22:21 2017  sparse part has weight 418353218 (68.01/col)
Mon Feb 20 11:23:53 2017  filtering completed in 3 passes
Mon Feb 20 11:23:54 2017  matrix is 6143428 x 6143628 (1853.3 MB) with weight 550754483 (89.65/col)
Mon Feb 20 11:23:54 2017  sparse part has weight 418264277 (68.08/col)
Mon Feb 20 11:25:10 2017  matrix starts at (0, 0)
Mon Feb 20 11:25:11 2017  matrix is 6143428 x 6143628 (1853.3 MB) with weight 550754483 (89.65/col)
Mon Feb 20 11:25:11 2017  sparse part has weight 418264277 (68.08/col)
Mon Feb 20 11:25:11 2017  saving the first 48 matrix rows for later
Mon Feb 20 11:25:12 2017  matrix includes 64 packed rows
Mon Feb 20 11:25:13 2017  matrix is 6143380 x 6143628 (1777.6 MB) with weight 440992957 (71.78/col)
Mon Feb 20 11:25:13 2017  sparse part has weight 404551053 (65.85/col)
Mon Feb 20 11:25:13 2017  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Mon Feb 20 11:25:40 2017  commencing Lanczos iteration (12 threads)
Mon Feb 20 11:25:40 2017  memory use: 1462.1 MB
Mon Feb 20 11:25:54 2017  linear algebra at 0.0%, ETA 14h36m
Mon Feb 20 11:25:59 2017  checkpointing every 410000 dimensions
Tue Feb 21 04:38:27 2017  lanczos halted after 97155 iterations (dim = 6143378)
Tue Feb 21 04:38:48 2017  recovered 33 nontrivial dependencies
Tue Feb 21 04:39:09 2017  BLanczosTime: 62746
Tue Feb 21 04:39:09 2017  
Tue Feb 21 04:39:09 2017  commencing square root phase
Tue Feb 21 04:39:09 2017  reading relations for dependency 1
Tue Feb 21 04:39:14 2017  read 3071840 cycles
Tue Feb 21 04:39:20 2017  cycles contain 9782372 unique relations
Tue Feb 21 04:43:43 2017  read 9782372 relations
Tue Feb 21 04:44:41 2017  multiplying 9782372 relations
Tue Feb 21 04:57:20 2017  multiply complete, coefficients have about 324.40 million bits
Tue Feb 21 04:57:21 2017  initial square root is modulo 661939
Tue Feb 21 05:10:38 2017  sqrtTime: 1889
Tue Feb 21 05:10:39 2017  p91 factor: 2899708525743448138750513834273051718459701701632174373080214267013049817300144137674371511
Tue Feb 21 05:10:39 2017  p127 factor: 2578803252599525084828617275190913720452916922012049839314915483801266096903330520458763162421202434048621007185106449704125207
Tue Feb 21 05:10:39 2017  elapsed time 18:36:23

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:02:48 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 48 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:09:08 UTC 2015 年 1 月 11 日 (日) 5 時 9 分 8 秒 (日本時間)
4511e60--
5043e63000 / 74621000Serge BatalovJanuary 11, 2015 21:22:44 UTC 2015 年 1 月 12 日 (月) 6 時 22 分 44 秒 (日本時間)
2000Serge BatalovFebruary 5, 2015 02:30:34 UTC 2015 年 2 月 5 日 (木) 11 時 30 分 34 秒 (日本時間)

673×10216-79

c209

composite cofactor 合成数の残り
75122819366179680132556052099420133732877296385024978208513762369294103783159253071390023511637504720998981894586013860778792175942021287638604379767996719052276612986352322544852931271253376487345580109625431<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:02:48 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 48 秒 (日本時間)
1CypJanuary 9, 2015 00:52:48 UTC 2015 年 1 月 9 日 (金) 9 時 52 分 48 秒 (日本時間)
4511e6585 / 4409CypJanuary 27, 2015 12:25:53 UTC 2015 年 1 月 27 日 (火) 21 時 25 分 53 秒 (日本時間)

673×10217-79

c218

composite cofactor 合成数の残り
83086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:02:49 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 49 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:09:08 UTC 2015 年 1 月 11 日 (日) 5 時 9 分 8 秒 (日本時間)

673×10218-79

c208

composite cofactor 合成数の残り
1191777986231853165301794044558128209918981243767625174431215899838927898483314624366423629645131425768726101837097146226818290764248249153209402944691191840068249430217154322163611487901554467848783922859183<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:02:49 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 49 秒 (日本時間)
4511e6585 / 4409CypJuly 21, 2015 15:22:23 UTC 2015 年 7 月 22 日 (水) 0 時 22 分 23 秒 (日本時間)

673×10219-79

c220

name 名前Serge Batalov
date 日付January 10, 2015 21:11:56 UTC 2015 年 1 月 11 日 (日) 6 時 11 分 56 秒 (日本時間)
composite number 合成数
2021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021<220>
prime factors 素因数
23795579650592914516599934627830748267<38>
84932624071238509849717347323373452690920654896017306553756788840386579921021795052218313377073956425589657707011727548473272908583600955938475707745282207006199186769143052856760663<182>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=114782505
Step 1 took 21364ms
Step 2 took 14069ms
********** Factor found in step 2: 23795579650592914516599934627830748267
Found probable prime factor of 38 digits: 23795579650592914516599934627830748267
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62401300Serge BatalovJanuary 9, 2015 00:02:50 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 50 秒 (日本時間)
1CypJanuary 9, 2015 00:28:59 UTC 2015 年 1 月 9 日 (金) 9 時 28 分 59 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:09:11 UTC 2015 年 1 月 11 日 (日) 5 時 9 分 11 秒 (日本時間)

673×10220-79

c222

name 名前Serge Batalov
date 日付January 10, 2015 09:15:32 UTC 2015 年 1 月 10 日 (土) 18 時 15 分 32 秒 (日本時間)
composite number 合成数
249259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259<222>
prime factors 素因数
52199121336591164915651669157661884133<38>
composite cofactor 合成数の残り
4775161973550894236721754822272219132214799313059150117768271273345770536569003021176342607370937456842857477433001943982459587910188022096205456898355814632193695372331996014471987423<184>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3906828515
Step 1 took 18132ms
Step 2 took 12165ms
********** Factor found in step 2: 52199121336591164915651669157661884133
Found probable prime factor of 38 digits: 52199121336591164915651669157661884133
Composite cofactor

c184

name 名前Erik Branger
date 日付March 29, 2018 08:31:45 UTC 2018 年 3 月 29 日 (木) 17 時 31 分 45 秒 (日本時間)
composite number 合成数
4775161973550894236721754822272219132214799313059150117768271273345770536569003021176342607370937456842857477433001943982459587910188022096205456898355814632193695372331996014471987423<184>
prime factors 素因数
555252157080072604293363631567560520851827<42>
8599988154322957071039416126435138381870737359498770923517278401587490900726620410695978306831901689210540097165257142185275788742971510347749<142>
factorization results 素因数分解の結果
Number: 74777_220
N = 4775161973550894236721754822272219132214799313059150117768271273345770536569003021176342607370937456842857477433001943982459587910188022096205456898355814632193695372331996014471987423 (184 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=555252157080072604293363631567560520851827 (pp42)
r2=8599988154322957071039416126435138381870737359498770923517278401587490900726620410695978306831901689210540097165257142185275788742971510347749 (pp142)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 100.68 hours.
Factorization parameters were as follows:
n: 4775161973550894236721754822272219132214799313059150117768271273345770536569003021176342607370937456842857477433001943982459587910188022096205456898355814632193695372331996014471987423
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 673
c0: -7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 27
mfbr: 58
mfba: 54
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/27
Total raw relations: 30779550
Relations: 9430846 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 52.95 hours.
Total relation processing time: 0.31 hours.
Pruned matrix : 8094042 x 8094267
Matrix solve time: 47.23 hours.
time per square root: 0.20 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,536870912,29,27,58,54,2.8,2.8,100000
total time: 100.68 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.16299-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
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62401300Serge BatalovJanuary 9, 2015 00:02:51 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 51 秒 (日本時間)
1CypJanuary 9, 2015 00:43:13 UTC 2015 年 1 月 9 日 (金) 9 時 43 分 13 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 08:39:49 UTC 2015 年 1 月 10 日 (土) 17 時 39 分 49 秒 (日本時間)

673×10221-79

c216

composite cofactor 合成数の残り
115489931602349302709631811045100463979341572886139432271162136107334907816322705474482395791645736690633538827674677616334007700151331794283272753544463651981672259236573696121975599050436634225888088873143818748653<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6581281CypJanuary 8, 2015 20:02:57 UTC 2015 年 1 月 9 日 (金) 5 時 2 分 57 秒 (日本時間)
300Serge BatalovJanuary 9, 2015 00:02:51 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 51 秒 (日本時間)
4511e6504 / 4347CypJuly 2, 2015 08:39:47 UTC 2015 年 7 月 2 日 (木) 17 時 39 分 47 秒 (日本時間)

673×10224-79

c205

name 名前Serge Batalov
date 日付January 9, 2015 03:48:51 UTC 2015 年 1 月 9 日 (金) 12 時 48 分 51 秒 (日本時間)
composite number 合成数
1777132100357196428866803503620719057603932527391774120048836540020834273860891128466852513914810520644456799486928371446269538620445069833354087852109442297966380832704005744048192936919247055464936692069<205>
prime factors 素因数
8582642156698497677140723729293659<34>
composite cofactor 合成数の残り
207061190238509189973411182680886417240652871273311983968332548558148510676398424957593643348475649193674751129955429445046850113696249098911528380142332173433765837564991<171>
factorization results 素因数分解の結果
Input number is 1777132100357196428866803503620719057603932527391774120048836540020834273860891128466852513914810520644456799486928371446269538620445069833354087852109442297966380832704005744048192936919247055464936692069 (205 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4234683406
Step 1 took 16126ms
Step 2 took 11054ms
********** Factor found in step 2: 8582642156698497677140723729293659
Found probable prime factor of 34 digits: 8582642156698497677140723729293659
Composite cofactor 207061190238509189973411182680886417240652871273311983968332548558148510676398424957593643348475649193674751129955429445046850113696249098911528380142332173433765837564991 has 171 digits

c171

name 名前Cyp
date 日付June 12, 2015 06:48:27 UTC 2015 年 6 月 12 日 (金) 15 時 48 分 27 秒 (日本時間)
composite number 合成数
207061190238509189973411182680886417240652871273311983968332548558148510676398424957593643348475649193674751129955429445046850113696249098911528380142332173433765837564991<171>
prime factors 素因数
2640759364184679698971429108802423692369<40>
78409715420033442824972212552622244951155374737807007977164752897468651645728779295243685450894444209001253691416521514017997335439<131>
factorization results 素因数分解の結果
Run 63 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2786387952
Step 1 took 50340ms
Step 2 took 17291ms
********** Factor found in step 2: 2640759364184679698971429108802423692369
Found probable prime factor of 40 digits: 2640759364184679698971429108802423692369
Probable prime cofactor 78409715420033442824972212552622244951155374737807007977164752897468651645728779295243685450894444209001253691416521514017997335439 has 131 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2101Serge BatalovJanuary 9, 2015 00:02:52 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 52 秒 (日本時間)
4511e663 / 4409CypJune 12, 2015 06:48:27 UTC 2015 年 6 月 12 日 (金) 15 時 48 分 27 秒 (日本時間)

673×10226-79

c227

composite cofactor 合成数の残り
27695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:02:52 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 52 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 08:39:55 UTC 2015 年 1 月 10 日 (土) 17 時 39 分 55 秒 (日本時間)

673×10227-79

c133

name 名前Erik Branger
date 日付March 12, 2015 15:13:04 UTC 2015 年 3 月 13 日 (金) 0 時 13 分 4 秒 (日本時間)
composite number 合成数
2910250550703336252661994696419122055447238691202488380879504332357811255189503688732169269119237687274881587080927175549904729050371<133>
prime factors 素因数
1116088374820347184703863246337111540404247497<46>
2607544900888147889827843020891816272598018901217589636625485005318344070297619997864043<88>
factorization results 素因数分解の結果
Number: 74777_227
N = 2910250550703336252661994696419122055447238691202488380879504332357811255189503688732169269119237687274881587080927175549904729050371 (133 digits)
Divisors found:
r1=1116088374820347184703863246337111540404247497 (pp46)
r2=2607544900888147889827843020891816272598018901217589636625485005318344070297619997864043 (pp88)
Version: Msieve v. 1.52 (SVN 958)
Total time: 65.04 hours.
Factorization parameters were as follows:
# Murphy_E = 5.912e-11, selected by Erik Branger
# expecting poly E from 5.89e-011 to > 6.77e-011
n: 2910250550703336252661994696419122055447238691202488380879504332357811255189503688732169269119237687274881587080927175549904729050371
Y0: -59507706900482377101685048
Y1: 105613070611883
c0: -655252473035839600083699494005455
c1: 25476822057603496309742652777
c2: 2750931979586554309791
c3: -51988305162922541
c4: -1534452280
c5: 3900
skew: 1467054.33
type: gnfs
# selected mechanically
rlim: 11400000
alim: 11400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 11400000/11400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19792256
Relations: 2836802 relations
Pruned matrix : 1661333 x 1661560
Polynomial selection time: 0.00 hours.
Total sieving time: 63.42 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.11 hours.
time per square root: 0.42 hours.
Prototype def-par.txt line would be: gnfs,132,5,65,2000,1e-05,0.28,250,20,50000,3600,11400000,11400000,28,28,54,54,2.6,2.6,100000
total time: 65.04 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
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovJanuary 9, 2015 00:02:53 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 53 秒 (日本時間)
2350Ignacio SantosFebruary 5, 2015 21:21:36 UTC 2015 年 2 月 6 日 (金) 6 時 21 分 36 秒 (日本時間)

673×10228-79

c229

composite cofactor 合成数の残り
2021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62401300Serge BatalovJanuary 9, 2015 00:02:53 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 53 秒 (日本時間)
1CypJanuary 9, 2015 00:53:03 UTC 2015 年 1 月 9 日 (金) 9 時 53 分 3 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 08:39:56 UTC 2015 年 1 月 10 日 (土) 17 時 39 分 56 秒 (日本時間)
4511e6436KTakahashiMarch 11, 2015 02:50:53 UTC 2015 年 3 月 11 日 (水) 11 時 50 分 53 秒 (日本時間)
5043e61000 / 7364Serge BatalovJanuary 11, 2015 21:22:49 UTC 2015 年 1 月 12 日 (月) 6 時 22 分 49 秒 (日本時間)

673×10233-79

c186

composite cofactor 合成数の残り
741610937656189882695713681965645177211820610033034924051120812366840130902605554545286869353785302789755254943300617406155260403026125991739386449212900186244668307060808887001957340941<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:02:54 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 54 秒 (日本時間)
1CypJanuary 9, 2015 01:07:03 UTC 2015 年 1 月 9 日 (金) 10 時 7 分 3 秒 (日本時間)
4511e6585 / 4409CypJuly 21, 2015 12:40:05 UTC 2015 年 7 月 21 日 (火) 21 時 40 分 5 秒 (日本時間)

673×10234-79

c218

name 名前Serge Batalov
date 日付January 9, 2015 03:48:54 UTC 2015 年 1 月 9 日 (金) 12 時 48 分 54 秒 (日本時間)
composite number 合成数
20442183723703667832032410419394775856186836206803586411348787802975119043460250490574447010687503691666823095429580992953928791422830016334458578734253619728054780490364485602492569158359177620039978632116813163746369<218>
prime factors 素因数
10713735157855943400386876893510423<35>
composite cofactor 合成数の残り
1908035192443062338931668497901503341249390986395520135231208272320317620322535071093447773529879760473079548029873822541693826520440598839093211531136607827312924693232947542094553703<184>
factorization results 素因数分解の結果
Input number is 20442183723703667832032410419394775856186836206803586411348787802975119043460250490574447010687503691666823095429580992953928791422830016334458578734253619728054780490364485602492569158359177620039978632116813163746369 (218 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=257686143
Step 1 took 19910ms
Step 2 took 13964ms
********** Factor found in step 2: 10713735157855943400386876893510423
Found probable prime factor of 35 digits: 10713735157855943400386876893510423
Composite cofactor 1908035192443062338931668497901503341249390986395520135231208272320317620322535071093447773529879760473079548029873822541693826520440598839093211531136607827312924693232947542094553703 has 184 digits

c184

name 名前Cyp
date 日付June 29, 2015 06:11:57 UTC 2015 年 6 月 29 日 (月) 15 時 11 分 57 秒 (日本時間)
composite number 合成数
1908035192443062338931668497901503341249390986395520135231208272320317620322535071093447773529879760473079548029873822541693826520440598839093211531136607827312924693232947542094553703<184>
prime factors 素因数
64056164708818778504262564891647898841<38>
composite cofactor 合成数の残り
29786909677100573899374331086665010238651375591554170655979878780968334266892182644660407799825060371028442000304984291532395640873621976690673983<146>
factorization results 素因数分解の結果
Run 265 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3130090853
Step 1 took 55761ms
Step 2 took 14431ms
********** Factor found in step 2: 64056164708818778504262564891647898841
Found probable prime factor of 38 digits: 64056164708818778504262564891647898841
Composite cofactor 29786909677100573899374331086665010238651375591554170655979878780968334266892182644660407799825060371028442000304984291532395640873621976690673983 has 146 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:02:55 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 55 秒 (日本時間)
1CypJanuary 9, 2015 00:35:59 UTC 2015 年 1 月 9 日 (金) 9 時 35 分 59 秒 (日本時間)
4511e61385 / 4409585CypJune 29, 2015 06:11:57 UTC 2015 年 6 月 29 日 (月) 15 時 11 分 57 秒 (日本時間)
800Dmitry DomanovMarch 1, 2016 13:20:02 UTC 2016 年 3 月 1 日 (火) 22 時 20 分 2 秒 (日本時間)

673×10235-79

c225

name 名前Cyp
date 日付January 28, 2015 16:22:35 UTC 2015 年 1 月 29 日 (木) 1 時 22 分 35 秒 (日本時間)
composite number 合成数
205736079047757713416738326007661049016497209314235118828397844474709472761720192662121639627019407627207353288935454019634025867884351316379452467594212877702385876995785268048676030737057663037016106179161063741671625351747<225>
prime factors 素因数
2070650563215808971324980120807501241709<40>
99358183704468597002360825399816998871810055527107579788888225676642356316879985111531863834894415658272819451525317034760264256670555096975000024247897114385534243326925791109391491183<185>
factorization results 素因数分解の結果
Run 571 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2143241433
Step 1 took 79855ms
Step 2 took 23671ms
********** Factor found in step 2: 2070650563215808971324980120807501241709
Found probable prime factor of 40 digits: 2070650563215808971324980120807501241709
Probable prime cofactor 99358183704468597002360825399816998871810055527107579788888225676642356316879985111531863834894415658272819451525317034760264256670555096975000024247897114385534243326925791109391491183 has 185 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 348Serge BatalovJanuary 9, 2015 00:02:55 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 55 秒 (日本時間)
4511e6571 / 4409CypJanuary 28, 2015 16:22:34 UTC 2015 年 1 月 29 日 (木) 1 時 22 分 34 秒 (日本時間)

673×10236-79

c202

composite cofactor 合成数の残り
3906783248127632528649371878421367138193145454175568011727908789367141259661379199683831738079675517001358064676255879340548460604029629490349347136312967915320018169686127026378059618226401661710665297<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:02:56 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 56 秒 (日本時間)
4511e6585 / 4409CypJune 23, 2015 21:20:22 UTC 2015 年 6 月 24 日 (水) 6 時 20 分 22 秒 (日本時間)

673×10237-79

c194

name 名前Serge Batalov
date 日付January 9, 2015 03:48:58 UTC 2015 年 1 月 9 日 (金) 12 時 48 分 58 秒 (日本時間)
composite number 合成数
16090428234099911773858000614091690402908457818940697815522087142324395564295597308756212328473037970538250537025569917717637112866899861635179506442125309443460255218051944187702940897036900451<194>
prime factors 素因数
277396597694536878046077179351<30>
composite cofactor 合成数の残り
58005139096256482033611857530414866028779307457671781544688198039624554209231157993226059245892261565782331820774960700642566928595294127307087406182634955257686101<164>
factorization results 素因数分解の結果
Input number is 16090428234099911773858000614091690402908457818940697815522087142324395564295597308756212328473037970538250537025569917717637112866899861635179506442125309443460255218051944187702940897036900451 (194 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=821290766
Step 1 took 17327ms
Step 2 took 11006ms
********** Factor found in step 2: 277396597694536878046077179351
Found probable prime factor of 30 digits: 277396597694536878046077179351
Composite cofactor 58005139096256482033611857530414866028779307457671781544688198039624554209231157993226059245892261565782331820774960700642566928595294127307087406182634955257686101 has 164 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:02:57 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 57 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 23:39:25 UTC 2015 年 1 月 11 日 (日) 8 時 39 分 25 秒 (日本時間)
4511e62200600Dmitry DomanovJune 9, 2015 14:56:20 UTC 2015 年 6 月 9 日 (火) 23 時 56 分 20 秒 (日本時間)
800Serge BatalovJune 17, 2015 19:21:33 UTC 2015 年 6 月 18 日 (木) 4 時 21 分 33 秒 (日本時間)
800Serge BatalovJune 18, 2015 02:03:20 UTC 2015 年 6 月 18 日 (木) 11 時 3 分 20 秒 (日本時間)
5043e6800 / 6968Serge BatalovJune 18, 2015 02:03:20 UTC 2015 年 6 月 18 日 (木) 11 時 3 分 20 秒 (日本時間)

673×10238-79

c236

composite cofactor 合成数の残り
88735941352530886172751605289875136795749113299843096923908600661893648721701409490658333662961644449718497422306607069868016824228999380298775101195891512730245375314795037116147831704969476418390622733805361074851996888308743061324051<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:02:57 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 57 秒 (日本時間)
2100Serge BatalovJanuary 9, 2015 21:35:11 UTC 2015 年 1 月 10 日 (土) 6 時 35 分 11 秒 (日本時間)

673×10239-79

c216

name 名前Serge Batalov
date 日付January 9, 2015 03:49:02 UTC 2015 年 1 月 9 日 (金) 12 時 49 分 2 秒 (日本時間)
composite number 合成数
195910306088745219220592595009677019683906125097399207374437807533586327326892788559406536527468621024893021843678028672039532415454429504897152115916956910713479041934801053908751206276174265117068685233686710060179<216>
prime factors 素因数
12477926297439016693649374923159696929<38>
composite cofactor 合成数の残り
15700550028810000724631450377423097634603453050000862238869434016223179146666225306383739699141978044641584450930095232619468960637935294081911858067702322362017312881385257139251<179>
factorization results 素因数分解の結果
Input number is 195910306088745219220592595009677019683906125097399207374437807533586327326892788559406536527468621024893021843678028672039532415454429504897152115916956910713479041934801053908751206276174265117068685233686710060179 (216 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1697313941
Step 1 took 21266ms
********** Factor found in step 1: 12477926297439016693649374923159696929
Found probable prime factor of 38 digits: 12477926297439016693649374923159696929
Composite cofactor 15700550028810000724631450377423097634603453050000862238869434016223179146666225306383739699141978044641584450930095232619468960637935294081911858067702322362017312881385257139251 has 179 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:02:58 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 58 秒 (日本時間)
4511e6585 / 4409CypMay 24, 2015 08:52:02 UTC 2015 年 5 月 24 日 (日) 17 時 52 分 2 秒 (日本時間)

673×10240-79

c239

composite cofactor 合成数の残り
14539719575690798712381446194395834683604467777129647633244755546913820295115259144036122453388640439000151230367057705187201590079287921014539719575690798712381446194395834683604467777129647633244755546913820295115259144036122453388640439<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:02:58 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 58 秒 (日本時間)
2100Serge BatalovJanuary 9, 2015 21:35:12 UTC 2015 年 1 月 10 日 (土) 6 時 35 分 12 秒 (日本時間)

673×10241-79

c211

name 名前Cyp
date 日付February 6, 2015 07:11:26 UTC 2015 年 2 月 6 日 (金) 16 時 11 分 26 秒 (日本時間)
composite number 合成数
6313528378044873369209029267529223873514538409397303666083794621128965051469943085434149297582614550361752722628437858453119605270104055977702562259201840788177683533548359045262015627877581722403469302626540361<211>
prime factors 素因数
30478877193399190575985479809997217<35>
composite cofactor 合成数の残り
207144388488569191809864363408462582735471251196901333914556004028422893639543672526880895252690834806167275319528355236353568311634979225573443962400850599212420438076995006633<177>
factorization results 素因数分解の結果
Run 40 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1320580411
Step 1 took 69405ms
Step 2 took 22056ms
********** Factor found in step 2: 30478877193399190575985479809997217
Found probable prime factor of 35 digits: 30478877193399190575985479809997217
Composite cofactor 207144388488569191809864363408462582735471251196901333914556004028422893639543672526880895252690834806167275319528355236353568311634979225573443962400850599212420438076995006633 has 177 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:02:59 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 59 秒 (日本時間)
4511e6585 / 4409CypFebruary 6, 2015 07:11:25 UTC 2015 年 2 月 6 日 (金) 16 時 11 分 25 秒 (日本時間)

673×10243-79

c228

composite cofactor 合成数の残り
591626624598056470591170837751293194706670645724957231593355607819486081514691649743969197986542474037363527204369737137781813309835057839943232937847870729429329126403986328771165031253556033270622597252034053031389984418967947<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:02:59 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 59 秒 (日本時間)
1CypJanuary 9, 2015 01:03:32 UTC 2015 年 1 月 9 日 (金) 10 時 3 分 32 秒 (日本時間)
4511e6585 / 4409CypJuly 21, 2015 11:04:15 UTC 2015 年 7 月 21 日 (火) 20 時 4 分 15 秒 (日本時間)

673×10244-79

c199

composite cofactor 合成数の残り
4574781233465475984432468401482774152558019909366795099882473393139032948826539928235263391590138032245602642929112063814154348533768812763369386701678911821984506921558907717621866726335343229841777<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:03:00 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 0 秒 (日本時間)
4511e6585 / 4409CypFebruary 5, 2015 21:32:37 UTC 2015 年 2 月 6 日 (金) 6 時 32 分 37 秒 (日本時間)

673×10245-79

c242

composite cofactor 合成数の残り
99173456290735902412140127820291213349660850357127594830012569830344130419726234105353745676818315112236943512390787625864083735995249105154809323189052900860436569512045964612906695902942637070831657110353679364700438691499818010076494711977<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62401300Serge BatalovJanuary 9, 2015 00:03:01 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 1 秒 (日本時間)
1CypJanuary 9, 2015 00:34:02 UTC 2015 年 1 月 9 日 (金) 9 時 34 分 2 秒 (日本時間)
2100Serge BatalovJanuary 9, 2015 18:41:18 UTC 2015 年 1 月 10 日 (土) 3 時 41 分 18 秒 (日本時間)
4511e639502100Serge BatalovJanuary 9, 2015 20:57:04 UTC 2015 年 1 月 10 日 (土) 5 時 57 分 4 秒 (日本時間)
1850Serge BatalovMarch 18, 2015 22:33:53 UTC 2015 年 3 月 19 日 (木) 7 時 33 分 53 秒 (日本時間)

673×10246-79

c212

composite cofactor 合成数の残り
29043272290998737592679829024903753009215972456893806008870099005950080827833056476652156452094659789646592308052565266994576092511094447024213690977822222853386552774330258872416761913791397584475297619556331181<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:03:01 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 1 秒 (日本時間)
1CypJanuary 9, 2015 00:51:07 UTC 2015 年 1 月 9 日 (金) 9 時 51 分 7 秒 (日本時間)
4511e6585 / 4409CypMay 28, 2015 09:20:06 UTC 2015 年 5 月 28 日 (木) 18 時 20 分 6 秒 (日本時間)

673×10247-79

c247

composite cofactor 合成数の残り
3003123605533244087460954930834448906738063364569388665774207942882641677822400713966979027219991075412762159750111557340473003123605533244087460954930834448906738063364569388665774207942882641677822400713966979027219991075412762159750111557340473<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:03:02 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 2 秒 (日本時間)
2100Serge BatalovJanuary 9, 2015 18:41:19 UTC 2015 年 1 月 10 日 (土) 3 時 41 分 19 秒 (日本時間)
4511e639502100Serge BatalovJanuary 9, 2015 20:57:05 UTC 2015 年 1 月 10 日 (土) 5 時 57 分 5 秒 (日本時間)
1850Serge BatalovMarch 18, 2015 22:33:12 UTC 2015 年 3 月 19 日 (木) 7 時 33 分 12 秒 (日本時間)

673×10248-79

c206

name 名前Serge Batalov
date 日付January 9, 2015 03:49:06 UTC 2015 年 1 月 9 日 (金) 12 時 49 分 6 秒 (日本時間)
composite number 合成数
31079456443821768083339958857183996847202499452336057870175979745435231801640858322036789051793287549230870503960034918230641383602030364347404138826534983349373040831619443896478185332528081412784882752977<206>
prime factors 素因数
1796837584757082699035551805701<31>
17296753311192257097150304895444519650760446131643275571498880453513395071246164014800633712533449075628800144245128564103886740361226599619939809353100672700010219163883914077<176>
factorization results 素因数分解の結果
Input number is 31079456443821768083339958857183996847202499452336057870175979745435231801640858322036789051793287549230870503960034918230641383602030364347404138826534983349373040831619443896478185332528081412784882752977 (206 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3261986087
Step 1 took 16170ms
Step 2 took 11069ms
********** Factor found in step 2: 1796837584757082699035551805701
Found probable prime factor of 31 digits: 1796837584757082699035551805701
Probable prime cofactor 17296753311192257097150304895444519650760446131643275571498880453513395071246164014800633712533449075628800144245128564103886740361226599619939809353100672700010219163883914077 has 176 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:03:03 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 3 秒 (日本時間)

673×10249-79

c244

composite cofactor 合成数の残り
1549018151162227513235514241100918916925680109251030320907098216402729049591074974474056722922563710293713336532780838837889019883346596312149603261581316491560982486559108508337111453050538411204489746021165622901179664324912582955935085257211<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:03:03 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 3 秒 (日本時間)
1CypJanuary 9, 2015 01:05:04 UTC 2015 年 1 月 9 日 (金) 10 時 5 分 4 秒 (日本時間)
4511e6585 / 4409CypJune 14, 2015 17:43:45 UTC 2015 年 6 月 15 日 (月) 2 時 43 分 45 秒 (日本時間)

673×10250-79

c206

composite cofactor 合成数の残り
33183684332957142824373177781596842589682755873040155328518426265550954502188680039866082510673876194273369746734715304307614480943193180048107695256132018242013617270437331012884743846195043440692346356307<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:03:04 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 4 秒 (日本時間)
1CypJanuary 9, 2015 00:39:03 UTC 2015 年 1 月 9 日 (金) 9 時 39 分 3 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovApril 27, 2015 14:08:08 UTC 2015 年 4 月 27 日 (月) 23 時 8 分 8 秒 (日本時間)