Table of contents 目次

664×10103-79

c104

name 名前KTakahashi
date 日付January 8, 2015 13:31:53 UTC 2015 年 1 月 8 日 (木) 22 時 31 分 53 秒 (日本時間)
composite number 合成数
67070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707<104>
prime factors 素因数
73869898331066785474287386678969857<35>
907957213777560578106434737399940131720972073937220856202986458744051<69>
factorization results 素因数分解の結果
Number: 73777_103
N=67070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707
  ( 104 digits)
SNFS difficulty: 107 digits.
Divisors found:
 r1=73869898331066785474287386678969857 (pp35)
 r2=907957213777560578106434737399940131720972073937220856202986458744051 (pp69)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 0.67 hours.
Scaled time: 1.18 units (timescale=1.766).
Factorization parameters were as follows:
n: 67070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707
m: 200000000000000000000000000
c4: 83
c0: -140
skew: 1.14
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 : 50558 x 50791
Total sieving time: 0.65 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,107.000,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 0.67 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)

664×10115-79

c97

name 名前KTakahashi
date 日付January 8, 2015 13:51:12 UTC 2015 年 1 月 8 日 (木) 22 時 51 分 12 秒 (日本時間)
composite number 合成数
2163835341915098384989084610427029628486984154785132511725101307609003814234413369442954387011967<97>
prime factors 素因数
74426720478656968151577616557672547173083577587<47>
29073366769339409196297458781099894503515618460741<50>
factorization results 素因数分解の結果
Number: 73777_115
N=2163835341915098384989084610427029628486984154785132511725101307609003814234413369442954387011967
  ( 97 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=74426720478656968151577616557672547173083577587 (pp47)
 r2=29073366769339409196297458781099894503515618460741 (pp50)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.48 hours.
Scaled time: 2.58 units (timescale=1.744).
Factorization parameters were as follows:
n: 2163835341915098384989084610427029628486984154785132511725101307609003814234413369442954387011967
m: 100000000000000000000000
c5: 664
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 : 94801 x 95026
Total sieving time: 1.42 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,117.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.48 hours.
 --------- CPU info (if available) ----------

ECM

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

664×10117-79

c98

name 名前KTakahashi
date 日付January 8, 2015 13:57:07 UTC 2015 年 1 月 8 日 (木) 22 時 57 分 7 秒 (日本時間)
composite number 合成数
27974063153182575863073320890686137332548734833236851645572567601232690638349641488615996616123753<98>
prime factors 素因数
423236940995341872966535914603367<33>
66095513986550756124959273177060673575850910260465801701766045359<65>
factorization results 素因数分解の結果
Number: 73777_117
N=27974063153182575863073320890686137332548734833236851645572567601232690638349641488615996616123753
  ( 98 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=423236940995341872966535914603367 (pp33)
 r2=66095513986550756124959273177060673575850910260465801701766045359 (pp65)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.84 hours.
Scaled time: 3.21 units (timescale=1.747).
Factorization parameters were as follows:
n: 27974063153182575863073320890686137332548734833236851645572567601232690638349641488615996616123753
m: 1000000000000000000000000
c5: 83
c0: -875
skew: 1.60
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, 450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 97435 x 97664
Total sieving time: 1.79 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
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)

664×10119-79

c97

name 名前KTakahashi
date 日付January 8, 2015 14:03:33 UTC 2015 年 1 月 8 日 (木) 23 時 3 分 33 秒 (日本時間)
composite number 合成数
1063753402970508719698967673138408964030846406098452659708706585093934720234681749877544601899681<97>
prime factors 素因数
86906766003626153330988836206125283<35>
12240167847531272700755884705440948338555211677767094187796907<62>
factorization results 素因数分解の結果
Number: 73777_119
N=1063753402970508719698967673138408964030846406098452659708706585093934720234681749877544601899681
  ( 97 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=86906766003626153330988836206125283 (pp35)
 r2=12240167847531272700755884705440948338555211677767094187796907 (pp62)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.16 hours.
Scaled time: 4.49 units (timescale=2.075).
Factorization parameters were as follows:
n: 1063753402970508719698967673138408964030846406098452659708706585093934720234681749877544601899681
m: 2000000000000000000000000
c5: 83
c0: -280
skew: 1.28
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 : 96216 x 96448
Total sieving time: 2.11 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,123.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.16 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)

664×10124-79

c111

name 名前KTakahashi
date 日付January 8, 2015 14:30:08 UTC 2015 年 1 月 8 日 (木) 23 時 30 分 8 秒 (日本時間)
composite number 合成数
484891219036334812257056907549103848373127111430579623398009294305514524795844122590637317559959484106362582961<111>
prime factors 素因数
383929452363173925550731468674240045303<39>
1262969579571762554420604830399159952315508316667551827707115953868827287<73>
factorization results 素因数分解の結果
Number: 73777_124
N=484891219036334812257056907549103848373127111430579623398009294305514524795844122590637317559959484106362582961
  ( 111 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=383929452363173925550731468674240045303 (pp39)
 r2=1262969579571762554420604830399159952315508316667551827707115953868827287 (pp73)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.59 hours.
Scaled time: 4.50 units (timescale=1.737).
Factorization parameters were as follows:
n: 484891219036334812257056907549103848373127111430579623398009294305514524795844122590637317559959484106362582961
m: 20000000000000000000000000
c5: 83
c0: -280
skew: 1.28
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, 850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 102980 x 103205
Total sieving time: 2.54 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,128.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 2.59 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 14:29:36 UTC 2015 年 1 月 8 日 (木) 23 時 29 分 36 秒 (日本時間)

664×10126-79

c116

name 名前KTakahashi
date 日付January 8, 2015 14:46:13 UTC 2015 年 1 月 8 日 (木) 23 時 46 分 13 秒 (日本時間)
composite number 合成数
56794565316039426632887425070592024156184036862550775427747907961695648109731729451285526728310507270022765027616647<116>
prime factors 素因数
19849833484373447937048431841536269097179859441<47>
2861211171406062018906249082481325321230416609260326931017133265490167<70>
factorization results 素因数分解の結果
Number: 73777_126
N=56794565316039426632887425070592024156184036862550775427747907961695648109731729451285526728310507270022765027616647
  ( 116 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=19849833484373447937048431841536269097179859441 (pp47)
 r2=2861211171406062018906249082481325321230416609260326931017133265490167 (pp70)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.71 hours.
Scaled time: 4.66 units (timescale=1.718).
Factorization parameters were as follows:
n: 56794565316039426632887425070592024156184036862550775427747907961695648109731729451285526728310507270022765027616647
m: 20000000000000000000000000
c5: 415
c0: -14
skew: 0.51
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, 850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 111130 x 111378
Total sieving time: 2.65 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,129.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 2.71 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 14:45:39 UTC 2015 年 1 月 8 日 (木) 23 時 45 分 39 秒 (日本時間)

664×10133-79

c105

name 名前KTakahashi
date 日付January 8, 2015 16:10:55 UTC 2015 年 1 月 9 日 (金) 1 時 10 分 55 秒 (日本時間)
composite number 合成数
116320334268200200071836326212295913459664626340465623397631254941253269987818100657279313364999662514897<105>
prime factors 素因数
29276933843391232414406600523203<32>
3973105069349928803022962432836308565457546654208168051555533969078132699<73>
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 116320334268200200071836326212295913459664626340465623397631254941253269987818100657279313364999662514897 (105 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1226379856
Step 1 took 2558ms
Step 2 took 1654ms
********** Factor found in step 2: 29276933843391232414406600523203
Found probable prime factor of 32 digits: 29276933843391232414406600523203
Probable prime cofactor 3973105069349928803022962432836308565457546654208168051555533969078132699 has 73 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)

664×10134-79

c117

name 名前KTakahashi
date 日付January 8, 2015 16:11:47 UTC 2015 年 1 月 9 日 (金) 1 時 11 分 47 秒 (日本時間)
composite number 合成数
150992887960198827034288201963276553007318761257403958742348396226888232574540355815112692746530416653085859185913873<117>
prime factors 素因数
5841225291525069099115248293663911933<37>
25849523075110927311206302966836639842798388953045447515488890029636943346838181<80>
factorization results 素因数分解の結果
Input number is 150992887960198827034288201963276553007318761257403958742348396226888232574540355815112692746530416653085859185913873 (117 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3470343665
Step 1 took 3386ms
Step 2 took 1887ms
********** Factor found in step 2: 5841225291525069099115248293663911933
Found probable prime factor of 37 digits: 5841225291525069099115248293663911933
Probable prime cofactor 25849523075110927311206302966836639842798388953045447515488890029636943346838181 has 80 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)

664×10135-79

c118

name 名前KTakahashi
date 日付January 8, 2015 16:12:26 UTC 2015 年 1 月 9 日 (金) 1 時 12 分 26 秒 (日本時間)
composite number 合成数
8012622657552520901321264841969252971965641425923614361226810246135362046601040342239697287100120363332494812068557689<118>
prime factors 素因数
1806716168680364357506345357960132799<37>
4434909476348454620596856240543008501789573488426571549307885638347207837328583111<82>
factorization results 素因数分解の結果
Input number is 8012622657552520901321264841969252971965641425923614361226810246135362046601040342239697287100120363332494812068557689 (118 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4176353141
Step 1 took 3525ms
Step 2 took 2200ms
********** Factor found in step 2: 1806716168680364357506345357960132799
Found probable prime factor of 37 digits: 1806716168680364357506345357960132799
Probable prime cofactor 4434909476348454620596856240543008501789573488426571549307885638347207837328583111 has 82 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)

664×10138-79

c133

name 名前Serge Batalov
date 日付January 8, 2015 23:10:28 UTC 2015 年 1 月 9 日 (金) 8 時 10 分 28 秒 (日本時間)
composite number 合成数
6107659961293072926628119789718786502524041069561270687984938657707980469947824854866500212696498667108993703140554152955360980594373<133>
prime factors 素因数
16023152492521488886789651235133220487<38>
composite cofactor 合成数の残り
381177172478618714208178930222421115605906063308270763283328777749456704321569606176050846205779<96>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=92502391
Step 1 took 7581ms
Step 2 took 6855ms
********** Factor found in step 2: 16023152492521488886789651235133220487
Found probable prime factor of 38 digits: 16023152492521488886789651235133220487
Composite cofactor

c96

name 名前Cyp
date 日付January 9, 2015 21:23:39 UTC 2015 年 1 月 10 日 (土) 6 時 23 分 39 秒 (日本時間)
composite number 合成数
381177172478618714208178930222421115605906063308270763283328777749456704321569606176050846205779<96>
prime factors 素因数
28771519751314125410067638230426737418651<41>
13248419818393799968859272810030108400678055188733429929<56>
factorization results 素因数分解の結果
01/09/15 22:01:13 v1.34.3, 
01/09/15 22:01:13 v1.34.3, ****************************
01/09/15 22:01:13 v1.34.3, Starting factorization of 381177172478618714208178930222421115605906063308270763283328777749456704321569606176050846205779
01/09/15 22:01:13 v1.34.3, using pretesting plan: none
01/09/15 22:01:13 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/09/15 22:01:13 v1.34.3, ****************************
01/09/15 22:01:13 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C96
01/09/15 22:01:13 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C96
01/09/15 22:01:13 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C96
01/09/15 22:01:13 v1.34.3, final ECM pretested depth: 0.00
01/09/15 22:01:13 v1.34.3, scheduler: switching to sieve method
01/09/15 22:01:13 v1.34.3, nfs: commencing nfs on c96: 381177172478618714208178930222421115605906063308270763283328777749456704321569606176050846205779
01/09/15 22:01:13 v1.34.3, nfs: commencing poly selection with 8 threads
01/09/15 22:01:13 v1.34.3, nfs: setting deadline of 105 seconds
01/09/15 22:03:00 v1.34.3, nfs: completed 128 ranges of size 250 in 107.0989 seconds
01/09/15 22:03:00 v1.34.3, nfs: best poly = # norm 4.224613e-13 alpha -4.835580 e 2.079e-08 rroots 4
01/09/15 22:03:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 22:04:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
[4 lines snipped]
01/09/15 22:11:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 22:12:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 22:13:40 v1.34.3, nfs: commencing msieve filtering
01/09/15 22:13:58 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 22:15:17 v1.34.3, nfs: commencing msieve filtering
01/09/15 22:15:38 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 22:17:01 v1.34.3, nfs: commencing msieve filtering
01/09/15 22:17:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 22:18:43 v1.34.3, nfs: commencing msieve filtering
01/09/15 22:19:15 v1.34.3, nfs: commencing msieve linear algebra
01/09/15 22:22:46 v1.34.3, nfs: commencing msieve sqrt
01/09/15 22:23:38 v1.34.3, prp41 = 28771519751314125410067638230426737418651
01/09/15 22:23:38 v1.34.3, prp56 = 13248419818393799968859272810030108400678055188733429929
01/09/15 22:23:38 v1.34.3, NFS elapsed time = 1345.3468 seconds.
01/09/15 22:23:38 v1.34.3, 
01/09/15 22:23:38 v1.34.3, 
01/09/15 22:23:38 v1.34.3, Total factoring time = 1345.3671 seconds
--
Fri Jan  9 22:13:40 2015  
Fri Jan  9 22:13:40 2015  commencing relation filtering
Fri Jan  9 22:13:40 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 22:13:40 2015  commencing duplicate removal, pass 1
Fri Jan  9 22:13:46 2015  found 109598 hash collisions in 2072481 relations
Fri Jan  9 22:13:48 2015  added 81908 free relations
Fri Jan  9 22:13:48 2015  commencing duplicate removal, pass 2
Fri Jan  9 22:13:49 2015  found 54952 duplicates and 2099437 unique relations
Fri Jan  9 22:13:49 2015  memory use: 8.2 MB
Fri Jan  9 22:13:49 2015  reading ideals above 100000
Fri Jan  9 22:13:49 2015  commencing singleton removal, initial pass
Fri Jan  9 22:13:57 2015  memory use: 86.1 MB
Fri Jan  9 22:13:57 2015  reading all ideals from disk
Fri Jan  9 22:13:57 2015  memory use: 63.7 MB
Fri Jan  9 22:13:57 2015  keeping 2743481 ideals with weight <= 200, target excess is 20683
Fri Jan  9 22:13:57 2015  commencing in-memory singleton removal
Fri Jan  9 22:13:57 2015  begin with 2099437 relations and 2743481 unique ideals
Fri Jan  9 22:13:58 2015  reduce to 400 relations and 1 ideals in 12 passes
Fri Jan  9 22:13:58 2015  max relations containing the same ideal: 2
Fri Jan  9 22:15:17 2015  
Fri Jan  9 22:15:17 2015  commencing relation filtering
Fri Jan  9 22:15:17 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 22:15:17 2015  commencing duplicate removal, pass 1
Fri Jan  9 22:15:24 2015  found 142090 hash collisions in 2419844 relations
Fri Jan  9 22:15:26 2015  added 1129 free relations
Fri Jan  9 22:15:26 2015  commencing duplicate removal, pass 2
Fri Jan  9 22:15:28 2015  found 68659 duplicates and 2352314 unique relations
Fri Jan  9 22:15:28 2015  memory use: 8.2 MB
Fri Jan  9 22:15:28 2015  reading ideals above 100000
Fri Jan  9 22:15:28 2015  commencing singleton removal, initial pass
Fri Jan  9 22:15:37 2015  memory use: 86.1 MB
Fri Jan  9 22:15:37 2015  reading all ideals from disk
Fri Jan  9 22:15:37 2015  memory use: 71.4 MB
Fri Jan  9 22:15:37 2015  keeping 2874381 ideals with weight <= 200, target excess is 21093
Fri Jan  9 22:15:37 2015  commencing in-memory singleton removal
Fri Jan  9 22:15:37 2015  begin with 2352314 relations and 2874381 unique ideals
Fri Jan  9 22:15:38 2015  reduce to 405 relations and 1 ideals in 66 passes
Fri Jan  9 22:15:38 2015  max relations containing the same ideal: 2
Fri Jan  9 22:17:01 2015  
Fri Jan  9 22:17:01 2015  commencing relation filtering
Fri Jan  9 22:17:01 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 22:17:01 2015  commencing duplicate removal, pass 1
Fri Jan  9 22:17:09 2015  found 171577 hash collisions in 2681959 relations
Fri Jan  9 22:17:11 2015  added 784 free relations
Fri Jan  9 22:17:11 2015  commencing duplicate removal, pass 2
Fri Jan  9 22:17:13 2015  found 83015 duplicates and 2599728 unique relations
Fri Jan  9 22:17:13 2015  memory use: 8.2 MB
Fri Jan  9 22:17:13 2015  reading ideals above 100000
Fri Jan  9 22:17:13 2015  commencing singleton removal, initial pass
Fri Jan  9 22:17:23 2015  memory use: 86.1 MB
Fri Jan  9 22:17:23 2015  reading all ideals from disk
Fri Jan  9 22:17:23 2015  memory use: 78.9 MB
Fri Jan  9 22:17:23 2015  keeping 2987122 ideals with weight <= 200, target excess is 21609
Fri Jan  9 22:17:23 2015  commencing in-memory singleton removal
Fri Jan  9 22:17:23 2015  begin with 2599728 relations and 2987122 unique ideals
Fri Jan  9 22:17:24 2015  reduce to 790368 relations and 805154 ideals in 21 passes
Fri Jan  9 22:17:24 2015  max relations containing the same ideal: 85
Fri Jan  9 22:18:43 2015  
Fri Jan  9 22:18:43 2015  commencing relation filtering
Fri Jan  9 22:18:43 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 22:18:43 2015  commencing duplicate removal, pass 1
Fri Jan  9 22:18:52 2015  found 203388 hash collisions in 2941687 relations
Fri Jan  9 22:18:54 2015  added 597 free relations
Fri Jan  9 22:18:54 2015  commencing duplicate removal, pass 2
Fri Jan  9 22:18:56 2015  found 98566 duplicates and 2843718 unique relations
Fri Jan  9 22:18:56 2015  memory use: 8.2 MB
Fri Jan  9 22:18:56 2015  reading ideals above 100000
Fri Jan  9 22:18:56 2015  commencing singleton removal, initial pass
Fri Jan  9 22:19:08 2015  memory use: 86.1 MB
Fri Jan  9 22:19:08 2015  reading all ideals from disk
Fri Jan  9 22:19:08 2015  memory use: 86.4 MB
Fri Jan  9 22:19:08 2015  keeping 3087431 ideals with weight <= 200, target excess is 22115
Fri Jan  9 22:19:08 2015  commencing in-memory singleton removal
Fri Jan  9 22:19:08 2015  begin with 2843718 relations and 3087431 unique ideals
Fri Jan  9 22:19:09 2015  reduce to 1137093 relations and 1065804 ideals in 17 passes
Fri Jan  9 22:19:09 2015  max relations containing the same ideal: 107
Fri Jan  9 22:19:09 2015  removing 187994 relations and 165176 ideals in 22818 cliques
Fri Jan  9 22:19:09 2015  commencing in-memory singleton removal
Fri Jan  9 22:19:09 2015  begin with 949099 relations and 1065804 unique ideals
Fri Jan  9 22:19:09 2015  reduce to 921568 relations and 872324 ideals in 11 passes
Fri Jan  9 22:19:09 2015  max relations containing the same ideal: 90
Fri Jan  9 22:19:09 2015  removing 141184 relations and 118366 ideals in 22818 cliques
Fri Jan  9 22:19:09 2015  commencing in-memory singleton removal
Fri Jan  9 22:19:09 2015  begin with 780384 relations and 872324 unique ideals
Fri Jan  9 22:19:10 2015  reduce to 760994 relations and 734074 ideals in 8 passes
Fri Jan  9 22:19:10 2015  max relations containing the same ideal: 75
Fri Jan  9 22:19:10 2015  relations with 0 large ideals: 416
Fri Jan  9 22:19:10 2015  relations with 1 large ideals: 706
Fri Jan  9 22:19:10 2015  relations with 2 large ideals: 7403
Fri Jan  9 22:19:10 2015  relations with 3 large ideals: 37814
Fri Jan  9 22:19:10 2015  relations with 4 large ideals: 113692
Fri Jan  9 22:19:10 2015  relations with 5 large ideals: 211128
Fri Jan  9 22:19:10 2015  relations with 6 large ideals: 213444
Fri Jan  9 22:19:10 2015  relations with 7+ large ideals: 176391
Fri Jan  9 22:19:10 2015  commencing 2-way merge
Fri Jan  9 22:19:10 2015  reduce to 436155 relation sets and 409235 unique ideals
Fri Jan  9 22:19:10 2015  commencing full merge
Fri Jan  9 22:19:13 2015  memory use: 42.9 MB
Fri Jan  9 22:19:13 2015  found 200550 cycles, need 197435
Fri Jan  9 22:19:13 2015  weight of 197435 cycles is about 13997994 (70.90/cycle)
Fri Jan  9 22:19:13 2015  distribution of cycle lengths:
Fri Jan  9 22:19:13 2015  1 relations: 18748
Fri Jan  9 22:19:13 2015  2 relations: 18963
Fri Jan  9 22:19:13 2015  3 relations: 19374
Fri Jan  9 22:19:13 2015  4 relations: 18394
Fri Jan  9 22:19:13 2015  5 relations: 16368
Fri Jan  9 22:19:13 2015  6 relations: 15100
Fri Jan  9 22:19:13 2015  7 relations: 13393
Fri Jan  9 22:19:13 2015  8 relations: 11753
Fri Jan  9 22:19:13 2015  9 relations: 10573
Fri Jan  9 22:19:13 2015  10+ relations: 54769
Fri Jan  9 22:19:13 2015  heaviest cycle: 26 relations
Fri Jan  9 22:19:14 2015  commencing cycle optimization
Fri Jan  9 22:19:14 2015  start with 1397104 relations
Fri Jan  9 22:19:15 2015  pruned 35624 relations
Fri Jan  9 22:19:15 2015  memory use: 44.3 MB
Fri Jan  9 22:19:15 2015  distribution of cycle lengths:
Fri Jan  9 22:19:15 2015  1 relations: 18748
Fri Jan  9 22:19:15 2015  2 relations: 19434
Fri Jan  9 22:19:15 2015  3 relations: 20034
Fri Jan  9 22:19:15 2015  4 relations: 18826
Fri Jan  9 22:19:15 2015  5 relations: 16855
Fri Jan  9 22:19:15 2015  6 relations: 15300
Fri Jan  9 22:19:15 2015  7 relations: 13513
Fri Jan  9 22:19:15 2015  8 relations: 11957
Fri Jan  9 22:19:15 2015  9 relations: 10641
Fri Jan  9 22:19:15 2015  10+ relations: 52127
Fri Jan  9 22:19:15 2015  heaviest cycle: 25 relations
Fri Jan  9 22:19:15 2015  RelProcTime: 32
Fri Jan  9 22:19:15 2015  
Fri Jan  9 22:19:15 2015  commencing linear algebra
Fri Jan  9 22:19:15 2015  read 197435 cycles
Fri Jan  9 22:19:15 2015  cycles contain 724938 unique relations
Fri Jan  9 22:19:19 2015  read 724938 relations
Fri Jan  9 22:19:19 2015  using 20 quadratic characters above 33554222
Fri Jan  9 22:19:21 2015  building initial matrix
Fri Jan  9 22:19:25 2015  memory use: 88.0 MB
Fri Jan  9 22:19:25 2015  read 197435 cycles
Fri Jan  9 22:19:25 2015  matrix is 197257 x 197435 (59.2 MB) with weight 19098144 (96.73/col)
Fri Jan  9 22:19:25 2015  sparse part has weight 13344205 (67.59/col)
Fri Jan  9 22:19:26 2015  filtering completed in 2 passes
Fri Jan  9 22:19:26 2015  matrix is 196844 x 197022 (59.1 MB) with weight 19078508 (96.83/col)
Fri Jan  9 22:19:26 2015  sparse part has weight 13337933 (67.70/col)
Fri Jan  9 22:19:26 2015  matrix starts at (0, 0)
Fri Jan  9 22:19:26 2015  matrix is 196844 x 197022 (59.1 MB) with weight 19078508 (96.83/col)
Fri Jan  9 22:19:26 2015  sparse part has weight 13337933 (67.70/col)
Fri Jan  9 22:19:26 2015  saving the first 48 matrix rows for later
Fri Jan  9 22:19:26 2015  matrix includes 64 packed rows
Fri Jan  9 22:19:26 2015  matrix is 196796 x 197022 (56.9 MB) with weight 15062121 (76.45/col)
Fri Jan  9 22:19:26 2015  sparse part has weight 12941863 (65.69/col)
Fri Jan  9 22:19:26 2015  using block size 65536 for processor cache size 8192 kB
Fri Jan  9 22:19:26 2015  commencing Lanczos iteration
Fri Jan  9 22:19:26 2015  memory use: 43.1 MB
Fri Jan  9 22:19:39 2015  linear algebra at 6.2%, ETA 0h 3m
Fri Jan  9 22:22:45 2015  lanczos halted after 3113 iterations (dim = 196796)
Fri Jan  9 22:22:46 2015  recovered 33 nontrivial dependencies
Fri Jan  9 22:22:46 2015  BLanczosTime: 211
Fri Jan  9 22:22:46 2015  
Fri Jan  9 22:22:46 2015  commencing square root phase
Fri Jan  9 22:22:46 2015  reading relations for dependency 1
Fri Jan  9 22:22:46 2015  read 98306 cycles
Fri Jan  9 22:22:46 2015  cycles contain 362848 unique relations
Fri Jan  9 22:22:48 2015  read 362848 relations
Fri Jan  9 22:22:49 2015  multiplying 362848 relations
Fri Jan  9 22:22:55 2015  multiply complete, coefficients have about 15.62 million bits
Fri Jan  9 22:22:55 2015  initial square root is modulo 941363279
Fri Jan  9 22:23:03 2015  GCD is N, no factor found
Fri Jan  9 22:23:03 2015  reading relations for dependency 2
Fri Jan  9 22:23:03 2015  read 98167 cycles
Fri Jan  9 22:23:03 2015  cycles contain 360806 unique relations
Fri Jan  9 22:23:05 2015  read 360806 relations
Fri Jan  9 22:23:06 2015  multiplying 360806 relations
Fri Jan  9 22:23:12 2015  multiply complete, coefficients have about 15.53 million bits
Fri Jan  9 22:23:12 2015  initial square root is modulo 835800533
Fri Jan  9 22:23:21 2015  GCD is 1, no factor found
Fri Jan  9 22:23:21 2015  reading relations for dependency 3
Fri Jan  9 22:23:21 2015  read 98415 cycles
Fri Jan  9 22:23:21 2015  cycles contain 362752 unique relations
Fri Jan  9 22:23:23 2015  read 362752 relations
Fri Jan  9 22:23:24 2015  multiplying 362752 relations
Fri Jan  9 22:23:30 2015  multiply complete, coefficients have about 15.61 million bits
Fri Jan  9 22:23:30 2015  initial square root is modulo 934474213
Fri Jan  9 22:23:38 2015  sqrtTime: 52
--
n: 381177172478618714208178930222421115605906063308270763283328777749456704321569606176050846205779
skew: 296034.37
c0: 52098560618477725825442019
c1: 77342055899214745804
c2: -3967524676747601
c3: -2097464336
c4: 22260
Y0: -64328057773279065803240
Y1: 50940529963
rlim: 1560000
alim: 1560000
lpbr: 25
lpba: 25
mfbr: 50
mfba: 50
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
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 16:12:48 UTC 2015 年 1 月 9 日 (金) 1 時 12 分 48 秒 (日本時間)

664×10139-79

c130

name 名前KTakahashi
date 日付January 8, 2015 16:13:34 UTC 2015 年 1 月 9 日 (金) 1 時 13 分 34 秒 (日本時間)
composite number 合成数
1755901924454644902160408331162359788869720235593077253171141684584474170911718399488123241729476072289756330422210878915069857389<130>
prime factors 素因数
15203325798968755354488853704898147<35>
composite cofactor 合成数の残り
115494592937931257298527365039700951377376464434392682894689521174589631831042829407825757083887<96>
factorization results 素因数分解の結果
Input number is 1755901924454644902160408331162359788869720235593077253171141684584474170911718399488123241729476072289756330422210878915069857389 (130 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3408400235
Step 1 took 3588ms
Step 2 took 2293ms
********** Factor found in step 2: 15203325798968755354488853704898147
Found probable prime factor of 35 digits: 15203325798968755354488853704898147
Composite cofactor 115494592937931257298527365039700951377376464434392682894689521174589631831042829407825757083887 has 96 digits
software ソフトウェア
GMP-ECM 6.4.4

c96

name 名前KTakahashi
date 日付January 9, 2015 15:01:46 UTC 2015 年 1 月 10 日 (土) 0 時 1 分 46 秒 (日本時間)
composite number 合成数
115494592937931257298527365039700951377376464434392682894689521174589631831042829407825757083887<96>
prime factors 素因数
362784136149605631456765759357878839517<39>
318356238405924594298159589286742475746946386672340567611<57>
factorization results 素因数分解の結果
Number: 73777_139
N=115494592937931257298527365039700951377376464434392682894689521174589631831042829407825757083887
  ( 96 digits)
Divisors found:
 r1=362784136149605631456765759357878839517 (pp39)
 r2=318356238405924594298159589286742475746946386672340567611 (pp57)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 4.76 hours.
Scaled time: 9.87 units (timescale=2.075).
Factorization parameters were as follows:
name: 73777_139
n:  115494592937931257298527365039700951377376464434392682894689521174589631831042829407825757083887
m:  7834391670863771739433
deg: 4
c4: 30657768
c3: 399009202285
c2: -98597109884540835
c1: -1488381714656560323
c0: 122878787649598697259088
skew: 1635.250
type: gnfs
# adj. I(F,S) = 55.106
# E(F1,F2) = 3.872662e-005
# GGNFS version 0.77.1-VC8(Sat 01/17/2009) polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1419944887.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 1260001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 182492 x 182720
Polynomial selection time: 0.17 hours.
Total sieving time: 4.46 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,95,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 4.76 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)

664×10141-79

c140

name 名前Jo Yeong Uk
date 日付January 14, 2015 14:27:29 UTC 2015 年 1 月 14 日 (水) 23 時 27 分 29 秒 (日本時間)
composite number 合成数
25502169988862004071129546414717517379114337289242232208011675692284057303068709912816376694703690901409532588239812574413334869608633867189<140>
prime factors 素因数
1885650558291939054297920000907687166717<40>
13524335077206665816753968003865407251787953949866076441690146417827695384689546163229066026293749017<101>
factorization results 素因数分解の結果
Number: 73777_141
N=25502169988862004071129546414717517379114337289242232208011675692284057303068709912816376694703690901409532588239812574413334869608633867189
  ( 140 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=1885650558291939054297920000907687166717
 r2=13524335077206665816753968003865407251787953949866076441690146417827695384689546163229066026293749017
Version: 
Total time: 2.43 hours.
Scaled time: 12.69 units (timescale=5.213).
Factorization parameters were as follows:
n: 25502169988862004071129546414717517379114337289242232208011675692284057303068709912816376694703690901409532588239812574413334869608633867189
m: 20000000000000000000000000000
deg: 5
c5: 415
c0: -14
skew: 0.51
# Murphy_E = 2.338e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 1950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4336331
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 311353 x 311601
Total sieving time: 2.14 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,50000
total time: 2.43 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.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 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
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 16:14:56 UTC 2015 年 1 月 9 日 (金) 1 時 14 分 56 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:01:50 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 50 秒 (日本時間)

664×10142-79

c135

name 名前Jo Yeong Uk
date 日付January 16, 2015 14:50:18 UTC 2015 年 1 月 16 日 (金) 23 時 50 分 18 秒 (日本時間)
composite number 合成数
128447839884862423599723200561395769418975828514697397561498941142040624954266874447846491298506497148762795713407449776249802665936623<135>
prime factors 素因数
1479578682637207807720956384973230105825554216616556736796122132527<67>
86813794624234790000358494915152509723272069350112223732994804016449<68>
factorization results 素因数分解の結果
Number: 73777_142
N=128447839884862423599723200561395769418975828514697397561498941142040624954266874447846491298506497148762795713407449776249802665936623
  ( 135 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=1479578682637207807720956384973230105825554216616556736796122132527
 r2=86813794624234790000358494915152509723272069350112223732994804016449
Version: 
Total time: 2.53 hours.
Scaled time: 13.30 units (timescale=5.256).
Factorization parameters were as follows:
n: 128447839884862423599723200561395769418975828514697397561498941142040624954266874447846491298506497148762795713407449776249802665936623
m: 20000000000000000000000000000
deg: 5
c5: 2075
c0: -7
skew: 0.32
# Murphy_E = 2.37e-09
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 2050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4493562
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 316884 x 317132
Total sieving time: 2.22 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,2300000,2300000,26,26,49,49,2.3,2.3,50000
total time: 2.53 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.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 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
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 16:15:05 UTC 2015 年 1 月 9 日 (金) 1 時 15 分 5 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:01:51 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 51 秒 (日本時間)

664×10145-79

c140

name 名前Cyp
date 日付January 15, 2015 07:31:52 UTC 2015 年 1 月 15 日 (木) 16 時 31 分 52 秒 (日本時間)
composite number 合成数
12200789936101982522342691976815845817088803800506375779107946850940929972910185536769444375493444090193406168705059439924171208562311520649<140>
prime factors 素因数
603458771077202096500801311294519140722147619<45>
20218100259480863184019201777892885673483006561487932228281770830601479636700285383964310166371<95>
factorization results 素因数分解の結果
01/15/15 07:28:24 v1.34.3, 
01/15/15 07:28:24 v1.34.3, ****************************
01/15/15 07:28:24 v1.34.3, Starting factorization of 12200789936101982522342691976815845817088803800506375779107946850940929972910185536769444375493444090193406168705059439924171208562311520649
01/15/15 07:28:24 v1.34.3, using pretesting plan: none
01/15/15 07:28:24 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/15/15 07:28:24 v1.34.3, ****************************
01/15/15 07:28:24 v1.34.3, nfs: commencing nfs on c140: 12200789936101982522342691976815845817088803800506375779107946850940929972910185536769444375493444090193406168705059439924171208562311520649
01/15/15 07:28:24 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/15/15 07:28:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 07:31:40 v1.34.3, nfs: commencing lattice sieving with 8 threads
[14 lines snipped]
01/15/15 08:21:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 08:24:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 08:28:10 v1.34.3, nfs: commencing msieve filtering
01/15/15 08:29:00 v1.34.3, nfs: commencing msieve linear algebra
01/15/15 08:30:36 v1.34.3, nfs: commencing msieve sqrt
01/15/15 08:31:51 v1.34.3, prp95 = 20218100259480863184019201777892885673483006561487932228281770830601479636700285383964310166371
01/15/15 08:31:51 v1.34.3, prp45 = 603458771077202096500801311294519140722147619
01/15/15 08:31:51 v1.34.3, NFS elapsed time = 3807.4710 seconds.
01/15/15 08:31:51 v1.34.3, 
01/15/15 08:31:51 v1.34.3, 
01/15/15 08:31:51 v1.34.3, Total factoring time = 3807.4718 seconds
--
Thu Jan 15 08:28:10 2015  
Thu Jan 15 08:28:10 2015  commencing relation filtering
Thu Jan 15 08:28:10 2015  estimated available RAM is 15987.3 MB
Thu Jan 15 08:28:10 2015  commencing duplicate removal, pass 1
Thu Jan 15 08:28:22 2015  found 521264 hash collisions in 4627925 relations
Thu Jan 15 08:28:28 2015  added 186535 free relations
Thu Jan 15 08:28:28 2015  commencing duplicate removal, pass 2
Thu Jan 15 08:28:31 2015  found 303338 duplicates and 4511122 unique relations
Thu Jan 15 08:28:31 2015  memory use: 20.6 MB
Thu Jan 15 08:28:31 2015  reading ideals above 100000
Thu Jan 15 08:28:31 2015  commencing singleton removal, initial pass
Thu Jan 15 08:28:50 2015  memory use: 94.1 MB
Thu Jan 15 08:28:50 2015  reading all ideals from disk
Thu Jan 15 08:28:50 2015  memory use: 148.0 MB
Thu Jan 15 08:28:50 2015  keeping 4794121 ideals with weight <= 200, target excess is 24367
Thu Jan 15 08:28:50 2015  commencing in-memory singleton removal
Thu Jan 15 08:28:50 2015  begin with 4511122 relations and 4794121 unique ideals
Thu Jan 15 08:28:51 2015  reduce to 2030432 relations and 1707922 ideals in 13 passes
Thu Jan 15 08:28:51 2015  max relations containing the same ideal: 118
Thu Jan 15 08:28:52 2015  removing 529126 relations and 382004 ideals in 147122 cliques
Thu Jan 15 08:28:52 2015  commencing in-memory singleton removal
Thu Jan 15 08:28:52 2015  begin with 1501306 relations and 1707922 unique ideals
Thu Jan 15 08:28:52 2015  reduce to 1404416 relations and 1220630 ideals in 7 passes
Thu Jan 15 08:28:52 2015  max relations containing the same ideal: 89
Thu Jan 15 08:28:53 2015  removing 443133 relations and 296011 ideals in 147122 cliques
Thu Jan 15 08:28:53 2015  commencing in-memory singleton removal
Thu Jan 15 08:28:53 2015  begin with 961283 relations and 1220630 unique ideals
Thu Jan 15 08:28:53 2015  reduce to 872595 relations and 826807 ideals in 8 passes
Thu Jan 15 08:28:53 2015  max relations containing the same ideal: 67
Thu Jan 15 08:28:53 2015  removing 84171 relations and 66649 ideals in 17522 cliques
Thu Jan 15 08:28:53 2015  commencing in-memory singleton removal
Thu Jan 15 08:28:53 2015  begin with 788424 relations and 826807 unique ideals
Thu Jan 15 08:28:53 2015  reduce to 782182 relations and 753787 ideals in 7 passes
Thu Jan 15 08:28:53 2015  max relations containing the same ideal: 62
Thu Jan 15 08:28:53 2015  relations with 0 large ideals: 556
Thu Jan 15 08:28:53 2015  relations with 1 large ideals: 122
Thu Jan 15 08:28:53 2015  relations with 2 large ideals: 2402
Thu Jan 15 08:28:53 2015  relations with 3 large ideals: 19094
Thu Jan 15 08:28:53 2015  relations with 4 large ideals: 75752
Thu Jan 15 08:28:53 2015  relations with 5 large ideals: 170513
Thu Jan 15 08:28:53 2015  relations with 6 large ideals: 232828
Thu Jan 15 08:28:53 2015  relations with 7+ large ideals: 280915
Thu Jan 15 08:28:53 2015  commencing 2-way merge
Thu Jan 15 08:28:54 2015  reduce to 486217 relation sets and 457822 unique ideals
Thu Jan 15 08:28:54 2015  commencing full merge
Thu Jan 15 08:28:58 2015  memory use: 59.2 MB
Thu Jan 15 08:28:58 2015  found 243691 cycles, need 240022
Thu Jan 15 08:28:58 2015  weight of 240022 cycles is about 17147346 (71.44/cycle)
Thu Jan 15 08:28:58 2015  distribution of cycle lengths:
Thu Jan 15 08:28:58 2015  1 relations: 19802
Thu Jan 15 08:28:58 2015  2 relations: 21635
Thu Jan 15 08:28:58 2015  3 relations: 23775
Thu Jan 15 08:28:58 2015  4 relations: 24296
Thu Jan 15 08:28:58 2015  5 relations: 24121
Thu Jan 15 08:28:58 2015  6 relations: 22242
Thu Jan 15 08:28:58 2015  7 relations: 20392
Thu Jan 15 08:28:58 2015  8 relations: 17713
Thu Jan 15 08:28:58 2015  9 relations: 15066
Thu Jan 15 08:28:58 2015  10+ relations: 50980
Thu Jan 15 08:28:58 2015  heaviest cycle: 21 relations
Thu Jan 15 08:28:58 2015  commencing cycle optimization
Thu Jan 15 08:28:58 2015  start with 1537387 relations
Thu Jan 15 08:28:59 2015  pruned 47243 relations
Thu Jan 15 08:28:59 2015  memory use: 47.8 MB
Thu Jan 15 08:28:59 2015  distribution of cycle lengths:
Thu Jan 15 08:28:59 2015  1 relations: 19802
Thu Jan 15 08:28:59 2015  2 relations: 22147
Thu Jan 15 08:28:59 2015  3 relations: 24655
Thu Jan 15 08:28:59 2015  4 relations: 25000
Thu Jan 15 08:28:59 2015  5 relations: 25000
Thu Jan 15 08:28:59 2015  6 relations: 22990
Thu Jan 15 08:28:59 2015  7 relations: 21078
Thu Jan 15 08:28:59 2015  8 relations: 17889
Thu Jan 15 08:28:59 2015  9 relations: 15307
Thu Jan 15 08:28:59 2015  10+ relations: 46154
Thu Jan 15 08:28:59 2015  heaviest cycle: 21 relations
Thu Jan 15 08:29:00 2015  RelProcTime: 50
Thu Jan 15 08:29:00 2015  
Thu Jan 15 08:29:00 2015  commencing linear algebra
Thu Jan 15 08:29:00 2015  read 240022 cycles
Thu Jan 15 08:29:00 2015  cycles contain 764519 unique relations
Thu Jan 15 08:29:04 2015  read 764519 relations
Thu Jan 15 08:29:05 2015  using 20 quadratic characters above 67102224
Thu Jan 15 08:29:07 2015  building initial matrix
Thu Jan 15 08:29:11 2015  memory use: 95.0 MB
Thu Jan 15 08:29:11 2015  read 240022 cycles
Thu Jan 15 08:29:11 2015  matrix is 239852 x 240022 (72.3 MB) with weight 22260270 (92.74/col)
Thu Jan 15 08:29:11 2015  sparse part has weight 16320142 (67.99/col)
Thu Jan 15 08:29:12 2015  filtering completed in 2 passes
Thu Jan 15 08:29:12 2015  matrix is 239799 x 239969 (72.3 MB) with weight 22258505 (92.76/col)
Thu Jan 15 08:29:12 2015  sparse part has weight 16319629 (68.01/col)
Thu Jan 15 08:29:12 2015  matrix starts at (0, 0)
Thu Jan 15 08:29:12 2015  matrix is 239799 x 239969 (72.3 MB) with weight 22258505 (92.76/col)
Thu Jan 15 08:29:12 2015  sparse part has weight 16319629 (68.01/col)
Thu Jan 15 08:29:12 2015  saving the first 48 matrix rows for later
Thu Jan 15 08:29:12 2015  matrix includes 64 packed rows
Thu Jan 15 08:29:12 2015  matrix is 239751 x 239969 (68.9 MB) with weight 17523804 (73.03/col)
Thu Jan 15 08:29:12 2015  sparse part has weight 15660232 (65.26/col)
Thu Jan 15 08:29:12 2015  using block size 65536 for processor cache size 8192 kB
Thu Jan 15 08:29:13 2015  commencing Lanczos iteration (8 threads)
Thu Jan 15 08:29:13 2015  memory use: 65.7 MB
Thu Jan 15 08:29:17 2015  linear algebra at 5.1%, ETA 0h 1m
Thu Jan 15 08:30:36 2015  lanczos halted after 3792 iterations (dim = 239741)
Thu Jan 15 08:30:36 2015  recovered 34 nontrivial dependencies
Thu Jan 15 08:30:36 2015  BLanczosTime: 96
Thu Jan 15 08:30:36 2015  
Thu Jan 15 08:30:36 2015  commencing square root phase
Thu Jan 15 08:30:36 2015  reading relations for dependency 1
Thu Jan 15 08:30:36 2015  read 120377 cycles
Thu Jan 15 08:30:36 2015  cycles contain 382606 unique relations
Thu Jan 15 08:30:39 2015  read 382606 relations
Thu Jan 15 08:30:40 2015  multiplying 382606 relations
Thu Jan 15 08:30:46 2015  multiply complete, coefficients have about 11.31 million bits
Thu Jan 15 08:30:46 2015  initial square root is modulo 3164401
Thu Jan 15 08:30:54 2015  GCD is 1, no factor found
Thu Jan 15 08:30:54 2015  reading relations for dependency 2
Thu Jan 15 08:30:55 2015  read 120407 cycles
Thu Jan 15 08:30:55 2015  cycles contain 383228 unique relations
Thu Jan 15 08:30:58 2015  read 383228 relations
Thu Jan 15 08:30:59 2015  multiplying 383228 relations
Thu Jan 15 08:31:05 2015  multiply complete, coefficients have about 11.33 million bits
Thu Jan 15 08:31:05 2015  initial square root is modulo 3241451
Thu Jan 15 08:31:13 2015  GCD is 1, no factor found
Thu Jan 15 08:31:13 2015  reading relations for dependency 3
Thu Jan 15 08:31:13 2015  read 120045 cycles
Thu Jan 15 08:31:13 2015  cycles contain 382148 unique relations
Thu Jan 15 08:31:17 2015  read 382148 relations
Thu Jan 15 08:31:18 2015  multiplying 382148 relations
Thu Jan 15 08:31:24 2015  multiply complete, coefficients have about 11.30 million bits
Thu Jan 15 08:31:24 2015  initial square root is modulo 3113221
Thu Jan 15 08:31:32 2015  GCD is 1, no factor found
Thu Jan 15 08:31:32 2015  reading relations for dependency 4
Thu Jan 15 08:31:32 2015  read 120254 cycles
Thu Jan 15 08:31:32 2015  cycles contain 382322 unique relations
Thu Jan 15 08:31:36 2015  read 382322 relations
Thu Jan 15 08:31:37 2015  multiplying 382322 relations
Thu Jan 15 08:31:43 2015  multiply complete, coefficients have about 11.30 million bits
Thu Jan 15 08:31:43 2015  initial square root is modulo 3127601
Thu Jan 15 08:31:51 2015  sqrtTime: 75
--
n: 12200789936101982522342691976815845817088803800506375779107946850940929972910185536769444375493444090193406168705059439924171208562311520649
m: 100000000000000000000000000000
deg: 5
c5: 664
c0: -7
skew: 0.40
# Murphy_E = 1.997e-09
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
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 16:15:37 UTC 2015 年 1 月 9 日 (金) 1 時 15 分 37 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:01:52 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 52 秒 (日本時間)

664×10146-79

c129

name 名前Cyp
date 日付January 17, 2015 04:28:39 UTC 2015 年 1 月 17 日 (土) 13 時 28 分 39 秒 (日本時間)
composite number 合成数
380694407858573983649795512572614516571526567387642539458170489770854463240912593355995359170689701971980335358974015780998749893<129>
prime factors 素因数
12091781786273008763674895344893835482344626644540660483271<59>
31483731230640540200585922759171500575925392464560982428159043623230483<71>
factorization results 素因数分解の結果
01/17/15 04:25:43 v1.34.3, 
01/17/15 04:25:43 v1.34.3, ****************************
01/17/15 04:25:43 v1.34.3, Starting factorization of 380694407858573983649795512572614516571526567387642539458170489770854463240912593355995359170689701971980335358974015780998749893
01/17/15 04:25:43 v1.34.3, using pretesting plan: none
01/17/15 04:25:43 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/17/15 04:25:43 v1.34.3, ****************************
01/17/15 04:25:43 v1.34.3, nfs: commencing nfs on c129: 380694407858573983649795512572614516571526567387642539458170489770854463240912593355995359170689701971980335358974015780998749893
01/17/15 04:25:43 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/17/15 04:25:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 04:26:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
[66 lines snipped]
01/17/15 05:22:18 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 05:23:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 05:24:00 v1.34.3, nfs: commencing msieve filtering
01/17/15 05:24:50 v1.34.3, nfs: commencing msieve linear algebra
01/17/15 05:28:08 v1.34.3, nfs: commencing msieve sqrt
01/17/15 05:28:38 v1.34.3, prp59 = 12091781786273008763674895344893835482344626644540660483271
01/17/15 05:28:38 v1.34.3, prp71 = 31483731230640540200585922759171500575925392464560982428159043623230483
01/17/15 05:28:39 v1.34.3, NFS elapsed time = 3775.6376 seconds.
01/17/15 05:28:39 v1.34.3, 
01/17/15 05:28:39 v1.34.3, 
01/17/15 05:28:39 v1.34.3, Total factoring time = 3775.6382 seconds
--
Sat Jan 17 05:24:00 2015  
Sat Jan 17 05:24:00 2015  commencing relation filtering
Sat Jan 17 05:24:00 2015  estimated available RAM is 15987.3 MB
Sat Jan 17 05:24:00 2015  commencing duplicate removal, pass 1
Sat Jan 17 05:24:12 2015  found 651491 hash collisions in 4493854 relations
Sat Jan 17 05:24:16 2015  added 184564 free relations
Sat Jan 17 05:24:16 2015  commencing duplicate removal, pass 2
Sat Jan 17 05:24:19 2015  found 498501 duplicates and 4179917 unique relations
Sat Jan 17 05:24:19 2015  memory use: 20.6 MB
Sat Jan 17 05:24:19 2015  reading ideals above 100000
Sat Jan 17 05:24:19 2015  commencing singleton removal, initial pass
Sat Jan 17 05:24:36 2015  memory use: 94.1 MB
Sat Jan 17 05:24:36 2015  reading all ideals from disk
Sat Jan 17 05:24:36 2015  memory use: 136.4 MB
Sat Jan 17 05:24:37 2015  keeping 4795629 ideals with weight <= 200, target excess is 21660
Sat Jan 17 05:24:37 2015  commencing in-memory singleton removal
Sat Jan 17 05:24:37 2015  begin with 4179917 relations and 4795629 unique ideals
Sat Jan 17 05:24:38 2015  reduce to 1525774 relations and 1457394 ideals in 16 passes
Sat Jan 17 05:24:38 2015  max relations containing the same ideal: 101
Sat Jan 17 05:24:38 2015  removing 177161 relations and 155534 ideals in 21627 cliques
Sat Jan 17 05:24:38 2015  commencing in-memory singleton removal
Sat Jan 17 05:24:38 2015  begin with 1348613 relations and 1457394 unique ideals
Sat Jan 17 05:24:39 2015  reduce to 1332038 relations and 1284973 ideals in 7 passes
Sat Jan 17 05:24:39 2015  max relations containing the same ideal: 93
Sat Jan 17 05:24:39 2015  removing 132851 relations and 111224 ideals in 21627 cliques
Sat Jan 17 05:24:39 2015  commencing in-memory singleton removal
Sat Jan 17 05:24:39 2015  begin with 1199187 relations and 1284973 unique ideals
Sat Jan 17 05:24:39 2015  reduce to 1188608 relations and 1162977 ideals in 8 passes
Sat Jan 17 05:24:39 2015  max relations containing the same ideal: 84
Sat Jan 17 05:24:39 2015  relations with 0 large ideals: 519
Sat Jan 17 05:24:39 2015  relations with 1 large ideals: 102
Sat Jan 17 05:24:39 2015  relations with 2 large ideals: 1987
Sat Jan 17 05:24:39 2015  relations with 3 large ideals: 17389
Sat Jan 17 05:24:39 2015  relations with 4 large ideals: 81015
Sat Jan 17 05:24:39 2015  relations with 5 large ideals: 213715
Sat Jan 17 05:24:39 2015  relations with 6 large ideals: 350212
Sat Jan 17 05:24:39 2015  relations with 7+ large ideals: 523669
Sat Jan 17 05:24:39 2015  commencing 2-way merge
Sat Jan 17 05:24:40 2015  reduce to 710442 relation sets and 684811 unique ideals
Sat Jan 17 05:24:40 2015  commencing full merge
Sat Jan 17 05:24:47 2015  memory use: 88.8 MB
Sat Jan 17 05:24:47 2015  found 353994 cycles, need 351011
Sat Jan 17 05:24:47 2015  weight of 351011 cycles is about 24830907 (70.74/cycle)
Sat Jan 17 05:24:47 2015  distribution of cycle lengths:
Sat Jan 17 05:24:47 2015  1 relations: 39562
Sat Jan 17 05:24:47 2015  2 relations: 38186
Sat Jan 17 05:24:47 2015  3 relations: 37046
Sat Jan 17 05:24:47 2015  4 relations: 33966
Sat Jan 17 05:24:47 2015  5 relations: 30763
Sat Jan 17 05:24:47 2015  6 relations: 27379
Sat Jan 17 05:24:47 2015  7 relations: 23894
Sat Jan 17 05:24:47 2015  8 relations: 20728
Sat Jan 17 05:24:47 2015  9 relations: 17976
Sat Jan 17 05:24:47 2015  10+ relations: 81511
Sat Jan 17 05:24:47 2015  heaviest cycle: 25 relations
Sat Jan 17 05:24:47 2015  commencing cycle optimization
Sat Jan 17 05:24:47 2015  start with 2267274 relations
Sat Jan 17 05:24:49 2015  pruned 60404 relations
Sat Jan 17 05:24:49 2015  memory use: 71.5 MB
Sat Jan 17 05:24:49 2015  distribution of cycle lengths:
Sat Jan 17 05:24:49 2015  1 relations: 39562
Sat Jan 17 05:24:49 2015  2 relations: 38935
Sat Jan 17 05:24:49 2015  3 relations: 38265
Sat Jan 17 05:24:49 2015  4 relations: 34869
Sat Jan 17 05:24:49 2015  5 relations: 31568
Sat Jan 17 05:24:49 2015  6 relations: 27816
Sat Jan 17 05:24:49 2015  7 relations: 24352
Sat Jan 17 05:24:49 2015  8 relations: 20863
Sat Jan 17 05:24:49 2015  9 relations: 18103
Sat Jan 17 05:24:49 2015  10+ relations: 76678
Sat Jan 17 05:24:49 2015  heaviest cycle: 24 relations
Sat Jan 17 05:24:50 2015  RelProcTime: 50
Sat Jan 17 05:24:50 2015  
Sat Jan 17 05:24:50 2015  commencing linear algebra
Sat Jan 17 05:24:50 2015  read 351011 cycles
Sat Jan 17 05:24:50 2015  cycles contain 1163530 unique relations
Sat Jan 17 05:24:55 2015  read 1163530 relations
Sat Jan 17 05:24:56 2015  using 20 quadratic characters above 67107794
Sat Jan 17 05:25:00 2015  building initial matrix
Sat Jan 17 05:25:06 2015  memory use: 141.4 MB
Sat Jan 17 05:25:06 2015  read 351011 cycles
Sat Jan 17 05:25:06 2015  matrix is 350834 x 351011 (105.2 MB) with weight 31631825 (90.12/col)
Sat Jan 17 05:25:06 2015  sparse part has weight 23716628 (67.57/col)
Sat Jan 17 05:25:07 2015  filtering completed in 2 passes
Sat Jan 17 05:25:07 2015  matrix is 350647 x 350824 (105.2 MB) with weight 31624986 (90.14/col)
Sat Jan 17 05:25:07 2015  sparse part has weight 23714334 (67.60/col)
Sat Jan 17 05:25:08 2015  matrix starts at (0, 0)
Sat Jan 17 05:25:08 2015  matrix is 350647 x 350824 (105.2 MB) with weight 31624986 (90.14/col)
Sat Jan 17 05:25:08 2015  sparse part has weight 23714334 (67.60/col)
Sat Jan 17 05:25:08 2015  saving the first 48 matrix rows for later
Sat Jan 17 05:25:08 2015  matrix includes 64 packed rows
Sat Jan 17 05:25:08 2015  matrix is 350599 x 350824 (99.3 MB) with weight 25005093 (71.28/col)
Sat Jan 17 05:25:08 2015  sparse part has weight 22523689 (64.20/col)
Sat Jan 17 05:25:08 2015  using block size 65536 for processor cache size 8192 kB
Sat Jan 17 05:25:09 2015  commencing Lanczos iteration (8 threads)
Sat Jan 17 05:25:09 2015  memory use: 95.3 MB
Sat Jan 17 05:25:15 2015  linear algebra at 3.5%, ETA 0h 2m
Sat Jan 17 05:28:07 2015  lanczos halted after 5545 iterations (dim = 350597)
Sat Jan 17 05:28:08 2015  recovered 37 nontrivial dependencies
Sat Jan 17 05:28:08 2015  BLanczosTime: 198
Sat Jan 17 05:28:08 2015  
Sat Jan 17 05:28:08 2015  commencing square root phase
Sat Jan 17 05:28:08 2015  reading relations for dependency 1
Sat Jan 17 05:28:08 2015  read 175029 cycles
Sat Jan 17 05:28:08 2015  cycles contain 579592 unique relations
Sat Jan 17 05:28:12 2015  read 579592 relations
Sat Jan 17 05:28:13 2015  multiplying 579592 relations
Sat Jan 17 05:28:24 2015  multiply complete, coefficients have about 18.48 million bits
Sat Jan 17 05:28:24 2015  initial square root is modulo 204301
Sat Jan 17 05:28:38 2015  sqrtTime: 30
--
n: 380694407858573983649795512572614516571526567387642539458170489770854463240912593355995359170689701971980335358974015780998749893
m: 100000000000000000000000000000
deg: 5
c5: 6640
c0: -7
skew: 0.25
# Murphy_E = 1.517e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
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 16:15:47 UTC 2015 年 1 月 9 日 (金) 1 時 15 分 47 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:01:52 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 52 秒 (日本時間)

664×10147-79

c121

name 名前KTakahashi
date 日付January 8, 2015 16:16:59 UTC 2015 年 1 月 9 日 (金) 1 時 16 分 59 秒 (日本時間)
composite number 合成数
5568806942007393329554775809949073184723054182978888910107973972514137247543453059789837330199241030936519953243280853193<121>
prime factors 素因数
16086167042380587878475094086101<32>
346186069517730618366370640365936644747444538372780521625944358754060113826526711725465893<90>
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 5568806942007393329554775809949073184723054182978888910107973972514137247543453059789837330199241030936519953243280853193 (121 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1773208112
Step 1 took 3105ms
Step 2 took 1918ms
********** Factor found in step 2: 16086167042380587878475094086101
Found probable prime factor of 32 digits: 16086167042380587878475094086101
Probable prime cofactor 346186069517730618366370640365936644747444538372780521625944358754060113826526711725465893 has 90 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)

664×10148-79

c140

name 名前Cyp
date 日付January 15, 2015 06:28:22 UTC 2015 年 1 月 15 日 (木) 15 時 28 分 22 秒 (日本時間)
composite number 合成数
24734861350327733837611000942766919611925121278046187732719673570134697911743062484574592409323439533074926610414823119454613390074155213901<140>
prime factors 素因数
3068761654470351723501483755363634877<37>
8060209340238517097505108862400616817493631847324032858173750944375880342363557659455712228142524386513<103>
factorization results 素因数分解の結果
01/15/15 05:26:05 v1.34.3, 
01/15/15 05:26:05 v1.34.3, ****************************
01/15/15 05:26:05 v1.34.3, Starting factorization of 24734861350327733837611000942766919611925121278046187732719673570134697911743062484574592409323439533074926610414823119454613390074155213901
01/15/15 05:26:05 v1.34.3, using pretesting plan: none
01/15/15 05:26:05 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/15/15 05:26:05 v1.34.3, ****************************
01/15/15 05:26:05 v1.34.3, nfs: commencing nfs on c140: 24734861350327733837611000942766919611925121278046187732719673570134697911743062484574592409323439533074926610414823119454613390074155213901
01/15/15 05:26:05 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/15/15 05:26:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 05:29:33 v1.34.3, nfs: commencing lattice sieving with 8 threads
[30 lines snipped]
01/15/15 07:15:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 07:18:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 07:21:57 v1.34.3, nfs: commencing msieve filtering
01/15/15 07:23:41 v1.34.3, nfs: commencing msieve linear algebra
01/15/15 07:25:50 v1.34.3, nfs: commencing msieve sqrt
01/15/15 07:28:20 v1.34.3, prp37 = 3068761654470351723501483755363634877
01/15/15 07:28:20 v1.34.3, prp103 = 8060209340238517097505108862400616817493631847324032858173750944375880342363557659455712228142524386513
01/15/15 07:28:20 v1.34.3, NFS elapsed time = 7335.7192 seconds.
01/15/15 07:28:20 v1.34.3, 
01/15/15 07:28:20 v1.34.3, 
01/15/15 07:28:20 v1.34.3, Total factoring time = 7335.7202 seconds
--
Thu Jan 15 07:21:57 2015  
Thu Jan 15 07:21:57 2015  commencing relation filtering
Thu Jan 15 07:21:57 2015  estimated available RAM is 15987.3 MB
Thu Jan 15 07:21:57 2015  commencing duplicate removal, pass 1
Thu Jan 15 07:22:27 2015  found 1302689 hash collisions in 10054197 relations
Thu Jan 15 07:22:35 2015  added 349473 free relations
Thu Jan 15 07:22:35 2015  commencing duplicate removal, pass 2
Thu Jan 15 07:22:42 2015  found 837192 duplicates and 9566478 unique relations
Thu Jan 15 07:22:42 2015  memory use: 41.3 MB
Thu Jan 15 07:22:42 2015  reading ideals above 100000
Thu Jan 15 07:22:42 2015  commencing singleton removal, initial pass
Thu Jan 15 07:23:24 2015  memory use: 188.2 MB
Thu Jan 15 07:23:24 2015  reading all ideals from disk
Thu Jan 15 07:23:24 2015  memory use: 322.4 MB
Thu Jan 15 07:23:25 2015  keeping 9162297 ideals with weight <= 200, target excess is 52510
Thu Jan 15 07:23:25 2015  commencing in-memory singleton removal
Thu Jan 15 07:23:26 2015  begin with 9566478 relations and 9162297 unique ideals
Thu Jan 15 07:23:28 2015  reduce to 5026032 relations and 3553914 ideals in 9 passes
Thu Jan 15 07:23:28 2015  max relations containing the same ideal: 134
Thu Jan 15 07:23:29 2015  removing 1148797 relations and 748797 ideals in 400000 cliques
Thu Jan 15 07:23:30 2015  commencing in-memory singleton removal
Thu Jan 15 07:23:30 2015  begin with 3877235 relations and 3553914 unique ideals
Thu Jan 15 07:23:31 2015  reduce to 3735541 relations and 2650603 ideals in 6 passes
Thu Jan 15 07:23:31 2015  max relations containing the same ideal: 107
Thu Jan 15 07:23:31 2015  removing 993688 relations and 593688 ideals in 400000 cliques
Thu Jan 15 07:23:32 2015  commencing in-memory singleton removal
Thu Jan 15 07:23:32 2015  begin with 2741853 relations and 2650603 unique ideals
Thu Jan 15 07:23:32 2015  reduce to 2636863 relations and 1942190 ideals in 7 passes
Thu Jan 15 07:23:32 2015  max relations containing the same ideal: 90
Thu Jan 15 07:23:33 2015  removing 946944 relations and 546944 ideals in 400000 cliques
Thu Jan 15 07:23:33 2015  commencing in-memory singleton removal
Thu Jan 15 07:23:33 2015  begin with 1689919 relations and 1942190 unique ideals
Thu Jan 15 07:23:33 2015  reduce to 1578602 relations and 1271965 ideals in 7 passes
Thu Jan 15 07:23:33 2015  max relations containing the same ideal: 60
Thu Jan 15 07:23:34 2015  removing 589185 relations and 343460 ideals in 245725 cliques
Thu Jan 15 07:23:34 2015  commencing in-memory singleton removal
Thu Jan 15 07:23:34 2015  begin with 989417 relations and 1271965 unique ideals
Thu Jan 15 07:23:34 2015  reduce to 888264 relations and 815493 ideals in 8 passes
Thu Jan 15 07:23:34 2015  max relations containing the same ideal: 40
Thu Jan 15 07:23:34 2015  removing 57648 relations and 45789 ideals in 11859 cliques
Thu Jan 15 07:23:34 2015  commencing in-memory singleton removal
Thu Jan 15 07:23:34 2015  begin with 830616 relations and 815493 unique ideals
Thu Jan 15 07:23:34 2015  reduce to 826622 relations and 765648 ideals in 5 passes
Thu Jan 15 07:23:34 2015  max relations containing the same ideal: 37
Thu Jan 15 07:23:34 2015  relations with 0 large ideals: 1196
Thu Jan 15 07:23:34 2015  relations with 1 large ideals: 1277
Thu Jan 15 07:23:34 2015  relations with 2 large ideals: 14645
Thu Jan 15 07:23:34 2015  relations with 3 large ideals: 70084
Thu Jan 15 07:23:34 2015  relations with 4 large ideals: 167872
Thu Jan 15 07:23:34 2015  relations with 5 large ideals: 232352
Thu Jan 15 07:23:34 2015  relations with 6 large ideals: 204023
Thu Jan 15 07:23:34 2015  relations with 7+ large ideals: 135173
Thu Jan 15 07:23:34 2015  commencing 2-way merge
Thu Jan 15 07:23:34 2015  reduce to 582114 relation sets and 521140 unique ideals
Thu Jan 15 07:23:34 2015  commencing full merge
Thu Jan 15 07:23:39 2015  memory use: 62.7 MB
Thu Jan 15 07:23:39 2015  found 285182 cycles, need 277340
Thu Jan 15 07:23:39 2015  weight of 277340 cycles is about 19588241 (70.63/cycle)
Thu Jan 15 07:23:39 2015  distribution of cycle lengths:
Thu Jan 15 07:23:39 2015  1 relations: 21619
Thu Jan 15 07:23:39 2015  2 relations: 27912
Thu Jan 15 07:23:39 2015  3 relations: 32810
Thu Jan 15 07:23:39 2015  4 relations: 31715
Thu Jan 15 07:23:39 2015  5 relations: 29374
Thu Jan 15 07:23:39 2015  6 relations: 25323
Thu Jan 15 07:23:39 2015  7 relations: 21604
Thu Jan 15 07:23:39 2015  8 relations: 18015
Thu Jan 15 07:23:39 2015  9 relations: 15036
Thu Jan 15 07:23:39 2015  10+ relations: 53932
Thu Jan 15 07:23:39 2015  heaviest cycle: 20 relations
Thu Jan 15 07:23:39 2015  commencing cycle optimization
Thu Jan 15 07:23:40 2015  start with 1707450 relations
Thu Jan 15 07:23:41 2015  pruned 70903 relations
Thu Jan 15 07:23:41 2015  memory use: 51.0 MB
Thu Jan 15 07:23:41 2015  distribution of cycle lengths:
Thu Jan 15 07:23:41 2015  1 relations: 21619
Thu Jan 15 07:23:41 2015  2 relations: 28640
Thu Jan 15 07:23:41 2015  3 relations: 34341
Thu Jan 15 07:23:41 2015  4 relations: 33376
Thu Jan 15 07:23:41 2015  5 relations: 30741
Thu Jan 15 07:23:41 2015  6 relations: 26291
Thu Jan 15 07:23:41 2015  7 relations: 22267
Thu Jan 15 07:23:41 2015  8 relations: 18236
Thu Jan 15 07:23:41 2015  9 relations: 14781
Thu Jan 15 07:23:41 2015  10+ relations: 47048
Thu Jan 15 07:23:41 2015  heaviest cycle: 20 relations
Thu Jan 15 07:23:41 2015  RelProcTime: 104
Thu Jan 15 07:23:41 2015  
Thu Jan 15 07:23:41 2015  commencing linear algebra
Thu Jan 15 07:23:41 2015  read 277340 cycles
Thu Jan 15 07:23:42 2015  cycles contain 794182 unique relations
Thu Jan 15 07:23:49 2015  read 794182 relations
Thu Jan 15 07:23:50 2015  using 20 quadratic characters above 134128374
Thu Jan 15 07:23:52 2015  building initial matrix
Thu Jan 15 07:23:57 2015  memory use: 100.2 MB
Thu Jan 15 07:23:57 2015  read 277340 cycles
Thu Jan 15 07:23:57 2015  matrix is 277164 x 277340 (81.9 MB) with weight 25058076 (90.35/col)
Thu Jan 15 07:23:57 2015  sparse part has weight 18417573 (66.41/col)
Thu Jan 15 07:23:58 2015  filtering completed in 2 passes
Thu Jan 15 07:23:58 2015  matrix is 276985 x 277165 (81.9 MB) with weight 25050374 (90.38/col)
Thu Jan 15 07:23:58 2015  sparse part has weight 18414367 (66.44/col)
Thu Jan 15 07:23:58 2015  matrix starts at (0, 0)
Thu Jan 15 07:23:58 2015  matrix is 276985 x 277165 (81.9 MB) with weight 25050374 (90.38/col)
Thu Jan 15 07:23:58 2015  sparse part has weight 18414367 (66.44/col)
Thu Jan 15 07:23:58 2015  saving the first 48 matrix rows for later
Thu Jan 15 07:23:58 2015  matrix includes 64 packed rows
Thu Jan 15 07:23:58 2015  matrix is 276937 x 277165 (77.7 MB) with weight 19662601 (70.94/col)
Thu Jan 15 07:23:58 2015  sparse part has weight 17593646 (63.48/col)
Thu Jan 15 07:23:58 2015  using block size 65536 for processor cache size 8192 kB
Thu Jan 15 07:23:59 2015  commencing Lanczos iteration (8 threads)
Thu Jan 15 07:23:59 2015  memory use: 74.5 MB
Thu Jan 15 07:24:04 2015  linear algebra at 4.4%, ETA 0h 1m
Thu Jan 15 07:25:50 2015  lanczos halted after 4381 iterations (dim = 276937)
Thu Jan 15 07:25:50 2015  recovered 37 nontrivial dependencies
Thu Jan 15 07:25:50 2015  BLanczosTime: 129
Thu Jan 15 07:25:50 2015  
Thu Jan 15 07:25:50 2015  commencing square root phase
Thu Jan 15 07:25:50 2015  reading relations for dependency 1
Thu Jan 15 07:25:50 2015  read 138344 cycles
Thu Jan 15 07:25:50 2015  cycles contain 396440 unique relations
Thu Jan 15 07:25:57 2015  read 396440 relations
Thu Jan 15 07:25:58 2015  multiplying 396440 relations
Thu Jan 15 07:26:05 2015  multiply complete, coefficients have about 13.57 million bits
Thu Jan 15 07:26:05 2015  initial square root is modulo 62573801
Thu Jan 15 07:26:14 2015  GCD is N, no factor found
Thu Jan 15 07:26:14 2015  reading relations for dependency 2
Thu Jan 15 07:26:15 2015  read 138555 cycles
Thu Jan 15 07:26:15 2015  cycles contain 397272 unique relations
Thu Jan 15 07:26:22 2015  read 397272 relations
Thu Jan 15 07:26:22 2015  multiplying 397272 relations
Thu Jan 15 07:26:30 2015  multiply complete, coefficients have about 13.60 million bits
Thu Jan 15 07:26:30 2015  initial square root is modulo 65046581
Thu Jan 15 07:26:39 2015  GCD is 1, no factor found
Thu Jan 15 07:26:39 2015  reading relations for dependency 3
Thu Jan 15 07:26:39 2015  read 138561 cycles
Thu Jan 15 07:26:39 2015  cycles contain 397390 unique relations
Thu Jan 15 07:26:46 2015  read 397390 relations
Thu Jan 15 07:26:47 2015  multiplying 397390 relations
Thu Jan 15 07:26:54 2015  multiply complete, coefficients have about 13.60 million bits
Thu Jan 15 07:26:55 2015  initial square root is modulo 65402611
Thu Jan 15 07:27:04 2015  Newton iteration failed to converge
Thu Jan 15 07:27:04 2015  algebraic square root failed
Thu Jan 15 07:27:04 2015  reading relations for dependency 4
Thu Jan 15 07:27:04 2015  read 138412 cycles
Thu Jan 15 07:27:04 2015  cycles contain 397424 unique relations
Thu Jan 15 07:27:11 2015  read 397424 relations
Thu Jan 15 07:27:12 2015  multiplying 397424 relations
Thu Jan 15 07:27:19 2015  multiply complete, coefficients have about 13.60 million bits
Thu Jan 15 07:27:19 2015  initial square root is modulo 65429591
Thu Jan 15 07:27:31 2015  Newton iteration failed to converge
Thu Jan 15 07:27:31 2015  algebraic square root failed
Thu Jan 15 07:27:31 2015  reading relations for dependency 5
Thu Jan 15 07:27:31 2015  read 138706 cycles
Thu Jan 15 07:27:31 2015  cycles contain 397174 unique relations
Thu Jan 15 07:27:38 2015  read 397174 relations
Thu Jan 15 07:27:39 2015  multiplying 397174 relations
Thu Jan 15 07:27:46 2015  multiply complete, coefficients have about 13.59 million bits
Thu Jan 15 07:27:46 2015  initial square root is modulo 64618681
Thu Jan 15 07:27:56 2015  GCD is N, no factor found
Thu Jan 15 07:27:56 2015  reading relations for dependency 6
Thu Jan 15 07:27:56 2015  read 138031 cycles
Thu Jan 15 07:27:56 2015  cycles contain 396624 unique relations
Thu Jan 15 07:28:03 2015  read 396624 relations
Thu Jan 15 07:28:03 2015  multiplying 396624 relations
Thu Jan 15 07:28:11 2015  multiply complete, coefficients have about 13.58 million bits
Thu Jan 15 07:28:11 2015  initial square root is modulo 63241021
Thu Jan 15 07:28:20 2015  sqrtTime: 150
--
n: 24734861350327733837611000942766919611925121278046187732719673570134697911743062484574592409323439533074926610414823119454613390074155213901
m: 200000000000000000000000000000
deg: 5
c5: 20750
c0: -7
skew: 0.20
# Murphy_E = 1.219e-09
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
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
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 16:17:18 UTC 2015 年 1 月 9 日 (金) 1 時 17 分 18 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:01:52 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 52 秒 (日本時間)

664×10149-79

c121

name 名前Cyp
date 日付January 17, 2015 19:27:05 UTC 2015 年 1 月 18 日 (日) 4 時 27 分 5 秒 (日本時間)
composite number 合成数
2586846251280232438790487030860692011490117078752775577829819022260861281854566252086966345299672787800405887054708818993<121>
prime factors 素因数
4521646384740138465192296613641490126638701<43>
572102732316804099858421908077765237630207170469762117931083883452473167159893<78>
factorization results 素因数分解の結果
01/17/15 18:40:18 v1.34.3, 
01/17/15 18:40:18 v1.34.3, ****************************
01/17/15 18:40:18 v1.34.3, Starting factorization of 2586846251280232438790487030860692011490117078752775577829819022260861281854566252086966345299672787800405887054708818993
01/17/15 18:40:18 v1.34.3, using pretesting plan: none
01/17/15 18:40:18 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/17/15 18:40:18 v1.34.3, ****************************
01/17/15 18:40:18 v1.34.3, nfs: commencing nfs on c121: 2586846251280232438790487030860692011490117078752775577829819022260861281854566252086966345299672787800405887054708818993
01/17/15 18:40:18 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/17/15 18:40:18 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 18:41:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
[105 lines snipped]
01/17/15 20:19:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 20:20:04 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 20:21:00 v1.34.3, nfs: commencing msieve filtering
01/17/15 20:22:43 v1.34.3, nfs: commencing msieve linear algebra
01/17/15 20:26:07 v1.34.3, nfs: commencing msieve sqrt
01/17/15 20:27:04 v1.34.3, prp78 = 572102732316804099858421908077765237630207170469762117931083883452473167159893
01/17/15 20:27:04 v1.34.3, prp43 = 4521646384740138465192296613641490126638701
01/17/15 20:27:04 v1.34.3, NFS elapsed time = 6405.6665 seconds.
01/17/15 20:27:04 v1.34.3, 
01/17/15 20:27:04 v1.34.3, 
01/17/15 20:27:04 v1.34.3, Total factoring time = 6405.6671 seconds
--
Sat Jan 17 20:21:00 2015  
Sat Jan 17 20:21:00 2015  commencing relation filtering
Sat Jan 17 20:21:00 2015  estimated available RAM is 15987.3 MB
Sat Jan 17 20:21:00 2015  commencing duplicate removal, pass 1
Sat Jan 17 20:21:27 2015  found 1570472 hash collisions in 10085010 relations
Sat Jan 17 20:21:37 2015  added 356669 free relations
Sat Jan 17 20:21:37 2015  commencing duplicate removal, pass 2
Sat Jan 17 20:21:45 2015  found 1204779 duplicates and 9236900 unique relations
Sat Jan 17 20:21:45 2015  memory use: 41.3 MB
Sat Jan 17 20:21:45 2015  reading ideals above 100000
Sat Jan 17 20:21:45 2015  commencing singleton removal, initial pass
Sat Jan 17 20:22:23 2015  memory use: 188.2 MB
Sat Jan 17 20:22:23 2015  reading all ideals from disk
Sat Jan 17 20:22:23 2015  memory use: 308.0 MB
Sat Jan 17 20:22:24 2015  keeping 9511493 ideals with weight <= 200, target excess is 46591
Sat Jan 17 20:22:24 2015  commencing in-memory singleton removal
Sat Jan 17 20:22:25 2015  begin with 9236900 relations and 9511493 unique ideals
Sat Jan 17 20:22:27 2015  reduce to 4323745 relations and 3443177 ideals in 14 passes
Sat Jan 17 20:22:27 2015  max relations containing the same ideal: 123
Sat Jan 17 20:22:29 2015  removing 1299700 relations and 899700 ideals in 400000 cliques
Sat Jan 17 20:22:29 2015  commencing in-memory singleton removal
Sat Jan 17 20:22:29 2015  begin with 3024045 relations and 3443177 unique ideals
Sat Jan 17 20:22:30 2015  reduce to 2776584 relations and 2267613 ideals in 8 passes
Sat Jan 17 20:22:30 2015  max relations containing the same ideal: 96
Sat Jan 17 20:22:30 2015  removing 1093562 relations and 693562 ideals in 400000 cliques
Sat Jan 17 20:22:31 2015  commencing in-memory singleton removal
Sat Jan 17 20:22:31 2015  begin with 1683022 relations and 2267613 unique ideals
Sat Jan 17 20:22:31 2015  reduce to 1465519 relations and 1325521 ideals in 9 passes
Sat Jan 17 20:22:31 2015  max relations containing the same ideal: 65
Sat Jan 17 20:22:31 2015  removing 302330 relations and 216378 ideals in 85952 cliques
Sat Jan 17 20:22:31 2015  commencing in-memory singleton removal
Sat Jan 17 20:22:31 2015  begin with 1163189 relations and 1325521 unique ideals
Sat Jan 17 20:22:32 2015  reduce to 1113668 relations and 1056515 ideals in 8 passes
Sat Jan 17 20:22:32 2015  max relations containing the same ideal: 51
Sat Jan 17 20:22:32 2015  relations with 0 large ideals: 1046
Sat Jan 17 20:22:32 2015  relations with 1 large ideals: 925
Sat Jan 17 20:22:32 2015  relations with 2 large ideals: 12593
Sat Jan 17 20:22:32 2015  relations with 3 large ideals: 71037
Sat Jan 17 20:22:32 2015  relations with 4 large ideals: 201619
Sat Jan 17 20:22:32 2015  relations with 5 large ideals: 317827
Sat Jan 17 20:22:32 2015  relations with 6 large ideals: 299564
Sat Jan 17 20:22:32 2015  relations with 7+ large ideals: 209057
Sat Jan 17 20:22:32 2015  commencing 2-way merge
Sat Jan 17 20:22:33 2015  reduce to 700301 relation sets and 643148 unique ideals
Sat Jan 17 20:22:33 2015  commencing full merge
Sat Jan 17 20:22:40 2015  memory use: 82.8 MB
Sat Jan 17 20:22:40 2015  found 359307 cycles, need 349348
Sat Jan 17 20:22:40 2015  weight of 349348 cycles is about 24720959 (70.76/cycle)
Sat Jan 17 20:22:40 2015  distribution of cycle lengths:
Sat Jan 17 20:22:40 2015  1 relations: 22721
Sat Jan 17 20:22:40 2015  2 relations: 31893
Sat Jan 17 20:22:40 2015  3 relations: 36266
Sat Jan 17 20:22:40 2015  4 relations: 36881
Sat Jan 17 20:22:40 2015  5 relations: 36697
Sat Jan 17 20:22:40 2015  6 relations: 33998
Sat Jan 17 20:22:40 2015  7 relations: 31237
Sat Jan 17 20:22:40 2015  8 relations: 26901
Sat Jan 17 20:22:40 2015  9 relations: 22602
Sat Jan 17 20:22:40 2015  10+ relations: 70152
Sat Jan 17 20:22:40 2015  heaviest cycle: 19 relations
Sat Jan 17 20:22:40 2015  commencing cycle optimization
Sat Jan 17 20:22:40 2015  start with 2218305 relations
Sat Jan 17 20:22:42 2015  pruned 71324 relations
Sat Jan 17 20:22:42 2015  memory use: 68.0 MB
Sat Jan 17 20:22:42 2015  distribution of cycle lengths:
Sat Jan 17 20:22:42 2015  1 relations: 22721
Sat Jan 17 20:22:42 2015  2 relations: 32592
Sat Jan 17 20:22:42 2015  3 relations: 37636
Sat Jan 17 20:22:42 2015  4 relations: 38287
Sat Jan 17 20:22:42 2015  5 relations: 38270
Sat Jan 17 20:22:42 2015  6 relations: 35202
Sat Jan 17 20:22:42 2015  7 relations: 32312
Sat Jan 17 20:22:42 2015  8 relations: 27333
Sat Jan 17 20:22:42 2015  9 relations: 22627
Sat Jan 17 20:22:42 2015  10+ relations: 62368
Sat Jan 17 20:22:42 2015  heaviest cycle: 19 relations
Sat Jan 17 20:22:43 2015  RelProcTime: 103
Sat Jan 17 20:22:43 2015  
Sat Jan 17 20:22:43 2015  commencing linear algebra
Sat Jan 17 20:22:43 2015  read 349348 cycles
Sat Jan 17 20:22:43 2015  cycles contain 1066796 unique relations
Sat Jan 17 20:22:51 2015  read 1066796 relations
Sat Jan 17 20:22:52 2015  using 20 quadratic characters above 134216948
Sat Jan 17 20:22:55 2015  building initial matrix
Sat Jan 17 20:23:01 2015  memory use: 133.5 MB
Sat Jan 17 20:23:01 2015  read 349348 cycles
Sat Jan 17 20:23:01 2015  matrix is 349171 x 349348 (104.5 MB) with weight 31539450 (90.28/col)
Sat Jan 17 20:23:01 2015  sparse part has weight 23539055 (67.38/col)
Sat Jan 17 20:23:02 2015  filtering completed in 2 passes
Sat Jan 17 20:23:02 2015  matrix is 349042 x 349219 (104.4 MB) with weight 31533601 (90.30/col)
Sat Jan 17 20:23:02 2015  sparse part has weight 23536206 (67.40/col)
Sat Jan 17 20:23:02 2015  matrix starts at (0, 0)
Sat Jan 17 20:23:02 2015  matrix is 349042 x 349219 (104.4 MB) with weight 31533601 (90.30/col)
Sat Jan 17 20:23:02 2015  sparse part has weight 23536206 (67.40/col)
Sat Jan 17 20:23:02 2015  saving the first 48 matrix rows for later
Sat Jan 17 20:23:02 2015  matrix includes 64 packed rows
Sat Jan 17 20:23:03 2015  matrix is 348994 x 349219 (98.6 MB) with weight 24781817 (70.96/col)
Sat Jan 17 20:23:03 2015  sparse part has weight 22351293 (64.00/col)
Sat Jan 17 20:23:03 2015  using block size 65536 for processor cache size 8192 kB
Sat Jan 17 20:23:03 2015  commencing Lanczos iteration (8 threads)
Sat Jan 17 20:23:03 2015  memory use: 94.5 MB
Sat Jan 17 20:23:10 2015  linear algebra at 3.5%, ETA 0h 3m
Sat Jan 17 20:26:06 2015  lanczos halted after 5522 iterations (dim = 348992)
Sat Jan 17 20:26:07 2015  recovered 37 nontrivial dependencies
Sat Jan 17 20:26:07 2015  BLanczosTime: 204
Sat Jan 17 20:26:07 2015  
Sat Jan 17 20:26:07 2015  commencing square root phase
Sat Jan 17 20:26:07 2015  reading relations for dependency 1
Sat Jan 17 20:26:07 2015  read 175135 cycles
Sat Jan 17 20:26:07 2015  cycles contain 534558 unique relations
Sat Jan 17 20:26:14 2015  read 534558 relations
Sat Jan 17 20:26:15 2015  multiplying 534558 relations
Sat Jan 17 20:26:24 2015  multiply complete, coefficients have about 15.17 million bits
Sat Jan 17 20:26:24 2015  initial square root is modulo 520193021
Sat Jan 17 20:26:35 2015  GCD is 1, no factor found
Sat Jan 17 20:26:35 2015  reading relations for dependency 2
Sat Jan 17 20:26:35 2015  read 174297 cycles
Sat Jan 17 20:26:35 2015  cycles contain 532284 unique relations
Sat Jan 17 20:26:43 2015  read 532284 relations
Sat Jan 17 20:26:44 2015  multiplying 532284 relations
Sat Jan 17 20:26:52 2015  multiply complete, coefficients have about 15.11 million bits
Sat Jan 17 20:26:52 2015  initial square root is modulo 477109351
Sat Jan 17 20:27:04 2015  sqrtTime: 57
--
n: 2586846251280232438790487030860692011490117078752775577829819022260861281854566252086966345299672787800405887054708818993
m: 1000000000000000000000000000000
deg: 5
c5: 332
c0: -35
skew: 0.64
# Murphy_E = 1.09e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
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
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 16:17:29 UTC 2015 年 1 月 9 日 (金) 1 時 17 分 29 秒 (日本時間)
403e60--
4511e6610 / 4439Pierre JammesJanuary 14, 2015 20:35:18 UTC 2015 年 1 月 15 日 (木) 5 時 35 分 18 秒 (日本時間)

664×10150-79

c136

name 名前Cyp
date 日付January 16, 2015 01:07:24 UTC 2015 年 1 月 16 日 (金) 10 時 7 分 24 秒 (日本時間)
composite number 合成数
1316051682415317299087167542726639825941029582450417272870596009540683189464459391985449131256754058912921728479114359226688334255271559<136>
prime factors 素因数
302645298685670978530926040392941060512254117575780450947<57>
4348495377693527617028557452568875022885047758075329558202466638171800431105197<79>
factorization results 素因数分解の結果
01/16/15 00:33:59 v1.34.3, 
01/16/15 00:33:59 v1.34.3, ****************************
01/16/15 00:33:59 v1.34.3, Starting factorization of 1316051682415317299087167542726639825941029582450417272870596009540683189464459391985449131256754058912921728479114359226688334255271559
01/16/15 00:33:59 v1.34.3, using pretesting plan: none
01/16/15 00:33:59 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/16/15 00:33:59 v1.34.3, ****************************
01/16/15 00:33:59 v1.34.3, nfs: commencing nfs on c136: 1316051682415317299087167542726639825941029582450417272870596009540683189464459391985449131256754058912921728479114359226688334255271559
01/16/15 00:33:59 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/16/15 00:33:59 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 00:35:04 v1.34.3, nfs: commencing lattice sieving with 8 threads
[73 lines snipped]
01/16/15 02:00:04 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 02:01:13 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 02:02:25 v1.34.3, nfs: commencing msieve filtering
01/16/15 02:04:04 v1.34.3, nfs: commencing msieve linear algebra
01/16/15 02:06:56 v1.34.3, nfs: commencing msieve sqrt
01/16/15 02:07:23 v1.34.3, prp57 = 302645298685670978530926040392941060512254117575780450947
01/16/15 02:07:23 v1.34.3, prp79 = 4348495377693527617028557452568875022885047758075329558202466638171800431105197
01/16/15 02:07:23 v1.34.3, NFS elapsed time = 5604.6919 seconds.
01/16/15 02:07:23 v1.34.3, 
01/16/15 02:07:23 v1.34.3, 
01/16/15 02:07:23 v1.34.3, Total factoring time = 5604.6926 seconds
--
Fri Jan 16 02:02:25 2015  
Fri Jan 16 02:02:25 2015  commencing relation filtering
Fri Jan 16 02:02:25 2015  estimated available RAM is 15987.3 MB
Fri Jan 16 02:02:25 2015  commencing duplicate removal, pass 1
Fri Jan 16 02:02:52 2015  found 1475165 hash collisions in 10121815 relations
Fri Jan 16 02:03:00 2015  added 357976 free relations
Fri Jan 16 02:03:00 2015  commencing duplicate removal, pass 2
Fri Jan 16 02:03:08 2015  found 1068142 duplicates and 9411649 unique relations
Fri Jan 16 02:03:08 2015  memory use: 41.3 MB
Fri Jan 16 02:03:08 2015  reading ideals above 100000
Fri Jan 16 02:03:08 2015  commencing singleton removal, initial pass
Fri Jan 16 02:03:47 2015  memory use: 188.2 MB
Fri Jan 16 02:03:47 2015  reading all ideals from disk
Fri Jan 16 02:03:47 2015  memory use: 312.6 MB
Fri Jan 16 02:03:47 2015  keeping 9568568 ideals with weight <= 200, target excess is 47024
Fri Jan 16 02:03:48 2015  commencing in-memory singleton removal
Fri Jan 16 02:03:48 2015  begin with 9411649 relations and 9568568 unique ideals
Fri Jan 16 02:03:51 2015  reduce to 4511620 relations and 3532462 ideals in 12 passes
Fri Jan 16 02:03:51 2015  max relations containing the same ideal: 127
Fri Jan 16 02:03:52 2015  removing 1290461 relations and 890461 ideals in 400000 cliques
Fri Jan 16 02:03:52 2015  commencing in-memory singleton removal
Fri Jan 16 02:03:52 2015  begin with 3221159 relations and 3532462 unique ideals
Fri Jan 16 02:03:53 2015  reduce to 2987421 relations and 2382798 ideals in 7 passes
Fri Jan 16 02:03:53 2015  max relations containing the same ideal: 94
Fri Jan 16 02:03:53 2015  removing 1085630 relations and 685630 ideals in 400000 cliques
Fri Jan 16 02:03:54 2015  commencing in-memory singleton removal
Fri Jan 16 02:03:54 2015  begin with 1901791 relations and 2382798 unique ideals
Fri Jan 16 02:03:54 2015  reduce to 1701939 relations and 1471235 ideals in 9 passes
Fri Jan 16 02:03:54 2015  max relations containing the same ideal: 63
Fri Jan 16 02:03:55 2015  removing 517591 relations and 341435 ideals in 176156 cliques
Fri Jan 16 02:03:55 2015  commencing in-memory singleton removal
Fri Jan 16 02:03:55 2015  begin with 1184348 relations and 1471235 unique ideals
Fri Jan 16 02:03:55 2015  reduce to 1082175 relations and 1017118 ideals in 7 passes
Fri Jan 16 02:03:55 2015  max relations containing the same ideal: 45
Fri Jan 16 02:03:55 2015  removing 55279 relations and 44770 ideals in 10509 cliques
Fri Jan 16 02:03:55 2015  commencing in-memory singleton removal
Fri Jan 16 02:03:55 2015  begin with 1026896 relations and 1017118 unique ideals
Fri Jan 16 02:03:55 2015  reduce to 1024787 relations and 970218 ideals in 5 passes
Fri Jan 16 02:03:55 2015  max relations containing the same ideal: 43
Fri Jan 16 02:03:55 2015  relations with 0 large ideals: 1062
Fri Jan 16 02:03:55 2015  relations with 1 large ideals: 1018
Fri Jan 16 02:03:55 2015  relations with 2 large ideals: 13090
Fri Jan 16 02:03:55 2015  relations with 3 large ideals: 72094
Fri Jan 16 02:03:55 2015  relations with 4 large ideals: 197447
Fri Jan 16 02:03:55 2015  relations with 5 large ideals: 296781
Fri Jan 16 02:03:55 2015  relations with 6 large ideals: 267856
Fri Jan 16 02:03:55 2015  relations with 7+ large ideals: 175439
Fri Jan 16 02:03:55 2015  commencing 2-way merge
Fri Jan 16 02:03:56 2015  reduce to 648204 relation sets and 593635 unique ideals
Fri Jan 16 02:03:56 2015  commencing full merge
Fri Jan 16 02:04:01 2015  memory use: 76.0 MB
Fri Jan 16 02:04:01 2015  found 333035 cycles, need 325835
Fri Jan 16 02:04:01 2015  weight of 325835 cycles is about 22929472 (70.37/cycle)
Fri Jan 16 02:04:01 2015  distribution of cycle lengths:
Fri Jan 16 02:04:01 2015  1 relations: 21488
Fri Jan 16 02:04:01 2015  2 relations: 29623
Fri Jan 16 02:04:01 2015  3 relations: 33531
Fri Jan 16 02:04:01 2015  4 relations: 34630
Fri Jan 16 02:04:01 2015  5 relations: 34367
Fri Jan 16 02:04:01 2015  6 relations: 31802
Fri Jan 16 02:04:01 2015  7 relations: 28758
Fri Jan 16 02:04:01 2015  8 relations: 24491
Fri Jan 16 02:04:01 2015  9 relations: 20592
Fri Jan 16 02:04:01 2015  10+ relations: 66553
Fri Jan 16 02:04:01 2015  heaviest cycle: 20 relations
Fri Jan 16 02:04:01 2015  commencing cycle optimization
Fri Jan 16 02:04:02 2015  start with 2078283 relations
Fri Jan 16 02:04:04 2015  pruned 67760 relations
Fri Jan 16 02:04:04 2015  memory use: 63.5 MB
Fri Jan 16 02:04:04 2015  distribution of cycle lengths:
Fri Jan 16 02:04:04 2015  1 relations: 21488
Fri Jan 16 02:04:04 2015  2 relations: 30287
Fri Jan 16 02:04:04 2015  3 relations: 34865
Fri Jan 16 02:04:04 2015  4 relations: 35888
Fri Jan 16 02:04:04 2015  5 relations: 35721
Fri Jan 16 02:04:04 2015  6 relations: 32884
Fri Jan 16 02:04:04 2015  7 relations: 29717
Fri Jan 16 02:04:04 2015  8 relations: 24965
Fri Jan 16 02:04:04 2015  9 relations: 20714
Fri Jan 16 02:04:04 2015  10+ relations: 59306
Fri Jan 16 02:04:04 2015  heaviest cycle: 19 relations
Fri Jan 16 02:04:04 2015  RelProcTime: 99
Fri Jan 16 02:04:04 2015  
Fri Jan 16 02:04:04 2015  commencing linear algebra
Fri Jan 16 02:04:04 2015  read 325835 cycles
Fri Jan 16 02:04:04 2015  cycles contain 995717 unique relations
Fri Jan 16 02:04:12 2015  read 995717 relations
Fri Jan 16 02:04:13 2015  using 20 quadratic characters above 134174064
Fri Jan 16 02:04:16 2015  building initial matrix
Fri Jan 16 02:04:21 2015  memory use: 126.7 MB
Fri Jan 16 02:04:21 2015  read 325835 cycles
Fri Jan 16 02:04:21 2015  matrix is 325658 x 325835 (96.9 MB) with weight 29893195 (91.74/col)
Fri Jan 16 02:04:21 2015  sparse part has weight 21814863 (66.95/col)
Fri Jan 16 02:04:22 2015  filtering completed in 2 passes
Fri Jan 16 02:04:23 2015  matrix is 325598 x 325775 (96.9 MB) with weight 29890984 (91.75/col)
Fri Jan 16 02:04:23 2015  sparse part has weight 21814079 (66.96/col)
Fri Jan 16 02:04:23 2015  matrix starts at (0, 0)
Fri Jan 16 02:04:23 2015  matrix is 325598 x 325775 (96.9 MB) with weight 29890984 (91.75/col)
Fri Jan 16 02:04:23 2015  sparse part has weight 21814079 (66.96/col)
Fri Jan 16 02:04:23 2015  saving the first 48 matrix rows for later
Fri Jan 16 02:04:23 2015  matrix includes 64 packed rows
Fri Jan 16 02:04:23 2015  matrix is 325550 x 325775 (92.1 MB) with weight 23496275 (72.12/col)
Fri Jan 16 02:04:23 2015  sparse part has weight 20888616 (64.12/col)
Fri Jan 16 02:04:23 2015  using block size 65536 for processor cache size 8192 kB
Fri Jan 16 02:04:24 2015  commencing Lanczos iteration (8 threads)
Fri Jan 16 02:04:24 2015  memory use: 88.2 MB
Fri Jan 16 02:04:29 2015  linear algebra at 3.7%, ETA 0h 2m
Fri Jan 16 02:06:55 2015  lanczos halted after 5149 iterations (dim = 325549)
Fri Jan 16 02:06:56 2015  recovered 37 nontrivial dependencies
Fri Jan 16 02:06:56 2015  BLanczosTime: 172
Fri Jan 16 02:06:56 2015  
Fri Jan 16 02:06:56 2015  commencing square root phase
Fri Jan 16 02:06:56 2015  reading relations for dependency 1
Fri Jan 16 02:06:56 2015  read 162817 cycles
Fri Jan 16 02:06:56 2015  cycles contain 497364 unique relations
Fri Jan 16 02:07:03 2015  read 497364 relations
Fri Jan 16 02:07:04 2015  multiplying 497364 relations
Fri Jan 16 02:07:12 2015  multiply complete, coefficients have about 14.43 million bits
Fri Jan 16 02:07:12 2015  initial square root is modulo 196350871
Fri Jan 16 02:07:23 2015  sqrtTime: 27
--
n: 1316051682415317299087167542726639825941029582450417272870596009540683189464459391985449131256754058912921728479114359226688334255271559
m: 1000000000000000000000000000000
deg: 5
c5: 664
c0: -7
skew: 0.40
# Murphy_E = 1.291e-09
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
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
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 16:17:42 UTC 2015 年 1 月 9 日 (金) 1 時 17 分 42 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:01:53 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 53 秒 (日本時間)

664×10153-79

c103

name 名前Cyp
date 日付January 9, 2015 09:03:40 UTC 2015 年 1 月 9 日 (金) 18 時 3 分 40 秒 (日本時間)
composite number 合成数
2761008291926573933737237449666129276749809720356657883515780052328904392558376989673192517409613049633<103>
prime factors 素因数
19411876566772946063932907406381009850307<41>
142232940871494903875488279303570208341113401498531566838553419<63>
factorization results 素因数分解の結果
01/09/15 09:25:23 v1.34.3, 
01/09/15 09:25:23 v1.34.3, ****************************
01/09/15 09:25:23 v1.34.3, Starting factorization of 2761008291926573933737237449666129276749809720356657883515780052328904392558376989673192517409613049633
01/09/15 09:25:23 v1.34.3, using pretesting plan: none
01/09/15 09:25:23 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/09/15 09:25:23 v1.34.3, ****************************
01/09/15 09:25:23 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C103
01/09/15 09:25:23 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C103
01/09/15 09:25:23 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C103
01/09/15 09:25:23 v1.34.3, final ECM pretested depth: 0.00
01/09/15 09:25:23 v1.34.3, scheduler: switching to sieve method
01/09/15 09:25:23 v1.34.3, nfs: commencing nfs on c103: 2761008291926573933737237449666129276749809720356657883515780052328904392558376989673192517409613049633
01/09/15 09:25:23 v1.34.3, nfs: commencing poly selection with 8 threads
01/09/15 09:25:23 v1.34.3, nfs: setting deadline of 196 seconds
01/09/15 09:29:47 v1.34.3, nfs: completed 53 ranges of size 250 in 263.2863 seconds
01/09/15 09:29:47 v1.34.3, nfs: best poly = # norm 5.077630e-14 alpha -4.921494 e 8.209e-09 rroots 4
01/09/15 09:29:47 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 09:31:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
[15 lines snipped]
01/09/15 09:52:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 09:53:36 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 09:54:56 v1.34.3, nfs: commencing msieve filtering
01/09/15 09:55:37 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 09:56:55 v1.34.3, nfs: commencing msieve filtering
01/09/15 09:57:39 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 09:59:00 v1.34.3, nfs: commencing msieve filtering
01/09/15 09:59:57 v1.34.3, nfs: commencing msieve linear algebra
01/09/15 10:03:04 v1.34.3, nfs: commencing msieve sqrt
01/09/15 10:03:39 v1.34.3, prp63 = 142232940871494903875488279303570208341113401498531566838553419
01/09/15 10:03:39 v1.34.3, prp41 = 19411876566772946063932907406381009850307
01/09/15 10:03:39 v1.34.3, NFS elapsed time = 2295.8752 seconds.
01/09/15 10:03:39 v1.34.3, 
01/09/15 10:03:39 v1.34.3, 
01/09/15 10:03:39 v1.34.3, Total factoring time = 2295.8969 seconds
--
Fri Jan  9 09:54:56 2015  
Fri Jan  9 09:54:56 2015  commencing relation filtering
Fri Jan  9 09:54:56 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 09:54:56 2015  commencing duplicate removal, pass 1
Fri Jan  9 09:55:09 2015  found 434929 hash collisions in 4589927 relations
Fri Jan  9 09:55:12 2015  added 157675 free relations
Fri Jan  9 09:55:12 2015  commencing duplicate removal, pass 2
Fri Jan  9 09:55:16 2015  found 195000 duplicates and 4552602 unique relations
Fri Jan  9 09:55:16 2015  memory use: 20.6 MB
Fri Jan  9 09:55:16 2015  reading ideals above 100000
Fri Jan  9 09:55:16 2015  commencing singleton removal, initial pass
Fri Jan  9 09:55:35 2015  memory use: 172.2 MB
Fri Jan  9 09:55:35 2015  reading all ideals from disk
Fri Jan  9 09:55:35 2015  memory use: 144.1 MB
Fri Jan  9 09:55:35 2015  keeping 5436503 ideals with weight <= 200, target excess is 23065
Fri Jan  9 09:55:35 2015  commencing in-memory singleton removal
Fri Jan  9 09:55:36 2015  begin with 4552602 relations and 5436503 unique ideals
Fri Jan  9 09:55:37 2015  reduce to 1040775 relations and 1107763 ideals in 28 passes
Fri Jan  9 09:55:37 2015  max relations containing the same ideal: 72
Fri Jan  9 09:56:55 2015  
Fri Jan  9 09:56:55 2015  commencing relation filtering
Fri Jan  9 09:56:55 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 09:56:55 2015  commencing duplicate removal, pass 1
Fri Jan  9 09:57:10 2015  found 493732 hash collisions in 4982727 relations
Fri Jan  9 09:57:13 2015  added 900 free relations
Fri Jan  9 09:57:13 2015  commencing duplicate removal, pass 2
Fri Jan  9 09:57:16 2015  found 213459 duplicates and 4770168 unique relations
Fri Jan  9 09:57:16 2015  memory use: 20.6 MB
Fri Jan  9 09:57:16 2015  reading ideals above 100000
Fri Jan  9 09:57:16 2015  commencing singleton removal, initial pass
Fri Jan  9 09:57:36 2015  memory use: 172.2 MB
Fri Jan  9 09:57:37 2015  reading all ideals from disk
Fri Jan  9 09:57:37 2015  memory use: 151.0 MB
Fri Jan  9 09:57:37 2015  keeping 5538873 ideals with weight <= 200, target excess is 24096
Fri Jan  9 09:57:37 2015  commencing in-memory singleton removal
Fri Jan  9 09:57:37 2015  begin with 4770168 relations and 5538873 unique ideals
Fri Jan  9 09:57:39 2015  reduce to 1347043 relations and 1357785 ideals in 27 passes
Fri Jan  9 09:57:39 2015  max relations containing the same ideal: 85
Fri Jan  9 09:59:00 2015  
Fri Jan  9 09:59:00 2015  commencing relation filtering
Fri Jan  9 09:59:00 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 09:59:00 2015  commencing duplicate removal, pass 1
Fri Jan  9 09:59:15 2015  found 538035 hash collisions in 5227282 relations
Fri Jan  9 09:59:19 2015  added 748 free relations
Fri Jan  9 09:59:19 2015  commencing duplicate removal, pass 2
Fri Jan  9 09:59:22 2015  found 233366 duplicates and 4994664 unique relations
Fri Jan  9 09:59:22 2015  memory use: 20.6 MB
Fri Jan  9 09:59:22 2015  reading ideals above 100000
Fri Jan  9 09:59:22 2015  commencing singleton removal, initial pass
Fri Jan  9 09:59:44 2015  memory use: 172.2 MB
Fri Jan  9 09:59:44 2015  reading all ideals from disk
Fri Jan  9 09:59:44 2015  memory use: 158.2 MB
Fri Jan  9 09:59:44 2015  keeping 5638756 ideals with weight <= 200, target excess is 25381
Fri Jan  9 09:59:44 2015  commencing in-memory singleton removal
Fri Jan  9 09:59:44 2015  begin with 4994664 relations and 5638756 unique ideals
Fri Jan  9 09:59:46 2015  reduce to 1648805 relations and 1590481 ideals in 21 passes
Fri Jan  9 09:59:46 2015  max relations containing the same ideal: 94
Fri Jan  9 09:59:46 2015  removing 182552 relations and 168111 ideals in 14441 cliques
Fri Jan  9 09:59:46 2015  commencing in-memory singleton removal
Fri Jan  9 09:59:46 2015  begin with 1466253 relations and 1590481 unique ideals
Fri Jan  9 09:59:47 2015  reduce to 1447885 relations and 1403737 ideals in 10 passes
Fri Jan  9 09:59:47 2015  max relations containing the same ideal: 85
Fri Jan  9 09:59:47 2015  removing 131548 relations and 117107 ideals in 14441 cliques
Fri Jan  9 09:59:47 2015  commencing in-memory singleton removal
Fri Jan  9 09:59:47 2015  begin with 1316337 relations and 1403737 unique ideals
Fri Jan  9 09:59:47 2015  reduce to 1305073 relations and 1275218 ideals in 10 passes
Fri Jan  9 09:59:47 2015  max relations containing the same ideal: 80
Fri Jan  9 09:59:48 2015  relations with 0 large ideals: 475
Fri Jan  9 09:59:48 2015  relations with 1 large ideals: 432
Fri Jan  9 09:59:48 2015  relations with 2 large ideals: 5040
Fri Jan  9 09:59:48 2015  relations with 3 large ideals: 34753
Fri Jan  9 09:59:48 2015  relations with 4 large ideals: 136473
Fri Jan  9 09:59:48 2015  relations with 5 large ideals: 321663
Fri Jan  9 09:59:48 2015  relations with 6 large ideals: 395133
Fri Jan  9 09:59:48 2015  relations with 7+ large ideals: 411104
Fri Jan  9 09:59:48 2015  commencing 2-way merge
Fri Jan  9 09:59:48 2015  reduce to 720430 relation sets and 690575 unique ideals
Fri Jan  9 09:59:48 2015  ignored 1 oversize relation sets
Fri Jan  9 09:59:48 2015  commencing full merge
Fri Jan  9 09:59:54 2015  memory use: 72.7 MB
Fri Jan  9 09:59:54 2015  found 340959 cycles, need 338775
Fri Jan  9 09:59:54 2015  weight of 338775 cycles is about 23837334 (70.36/cycle)
Fri Jan  9 09:59:54 2015  distribution of cycle lengths:
Fri Jan  9 09:59:54 2015  1 relations: 39147
Fri Jan  9 09:59:54 2015  2 relations: 37287
Fri Jan  9 09:59:54 2015  3 relations: 35435
Fri Jan  9 09:59:54 2015  4 relations: 31818
Fri Jan  9 09:59:54 2015  5 relations: 28983
Fri Jan  9 09:59:54 2015  6 relations: 24808
Fri Jan  9 09:59:54 2015  7 relations: 21616
Fri Jan  9 09:59:54 2015  8 relations: 19008
Fri Jan  9 09:59:54 2015  9 relations: 16530
Fri Jan  9 09:59:54 2015  10+ relations: 84143
Fri Jan  9 09:59:54 2015  heaviest cycle: 28 relations
Fri Jan  9 09:59:54 2015  commencing cycle optimization
Fri Jan  9 09:59:54 2015  start with 2286445 relations
Fri Jan  9 09:59:56 2015  pruned 46771 relations
Fri Jan  9 09:59:56 2015  memory use: 75.4 MB
Fri Jan  9 09:59:56 2015  distribution of cycle lengths:
Fri Jan  9 09:59:56 2015  1 relations: 39147
Fri Jan  9 09:59:56 2015  2 relations: 37983
Fri Jan  9 09:59:56 2015  3 relations: 36478
Fri Jan  9 09:59:56 2015  4 relations: 32532
Fri Jan  9 09:59:56 2015  5 relations: 29470
Fri Jan  9 09:59:56 2015  6 relations: 25053
Fri Jan  9 09:59:56 2015  7 relations: 21753
Fri Jan  9 09:59:56 2015  8 relations: 19107
Fri Jan  9 09:59:56 2015  9 relations: 16380
Fri Jan  9 09:59:56 2015  10+ relations: 80872
Fri Jan  9 09:59:56 2015  heaviest cycle: 28 relations
Fri Jan  9 09:59:57 2015  RelProcTime: 57
Fri Jan  9 09:59:57 2015  
Fri Jan  9 09:59:57 2015  commencing linear algebra
Fri Jan  9 09:59:57 2015  read 338775 cycles
Fri Jan  9 09:59:57 2015  cycles contain 1263173 unique relations
Fri Jan  9 10:00:03 2015  read 1263173 relations
Fri Jan  9 10:00:04 2015  using 20 quadratic characters above 67108580
Fri Jan  9 10:00:07 2015  building initial matrix
Fri Jan  9 10:00:13 2015  memory use: 153.2 MB
Fri Jan  9 10:00:13 2015  read 338775 cycles
Fri Jan  9 10:00:13 2015  matrix is 338597 x 338775 (101.5 MB) with weight 31958031 (94.33/col)
Fri Jan  9 10:00:13 2015  sparse part has weight 22879817 (67.54/col)
Fri Jan  9 10:00:15 2015  filtering completed in 2 passes
Fri Jan  9 10:00:15 2015  matrix is 338026 x 338204 (101.4 MB) with weight 31932576 (94.42/col)
Fri Jan  9 10:00:15 2015  sparse part has weight 22871186 (67.63/col)
Fri Jan  9 10:00:15 2015  matrix starts at (0, 0)
Fri Jan  9 10:00:15 2015  matrix is 338026 x 338204 (101.4 MB) with weight 31932576 (94.42/col)
Fri Jan  9 10:00:15 2015  sparse part has weight 22871186 (67.63/col)
Fri Jan  9 10:00:15 2015  saving the first 48 matrix rows for later
Fri Jan  9 10:00:15 2015  matrix includes 64 packed rows
Fri Jan  9 10:00:15 2015  matrix is 337978 x 338204 (97.5 MB) with weight 25432751 (75.20/col)
Fri Jan  9 10:00:15 2015  sparse part has weight 22187271 (65.60/col)
Fri Jan  9 10:00:15 2015  using block size 65536 for processor cache size 8192 kB
Fri Jan  9 10:00:16 2015  commencing Lanczos iteration (8 threads)
Fri Jan  9 10:00:16 2015  memory use: 92.4 MB
Fri Jan  9 10:00:22 2015  linear algebra at 3.6%, ETA 0h 2m
Fri Jan  9 10:03:03 2015  lanczos halted after 5348 iterations (dim = 337977)
Fri Jan  9 10:03:04 2015  recovered 32 nontrivial dependencies
Fri Jan  9 10:03:04 2015  BLanczosTime: 187
Fri Jan  9 10:03:04 2015  
Fri Jan  9 10:03:04 2015  commencing square root phase
Fri Jan  9 10:03:04 2015  reading relations for dependency 1
Fri Jan  9 10:03:04 2015  read 169248 cycles
Fri Jan  9 10:03:04 2015  cycles contain 630878 unique relations
Fri Jan  9 10:03:08 2015  read 630878 relations
Fri Jan  9 10:03:09 2015  multiplying 630878 relations
Fri Jan  9 10:03:21 2015  multiply complete, coefficients have about 27.33 million bits
Fri Jan  9 10:03:21 2015  initial square root is modulo 70394693
Fri Jan  9 10:03:39 2015  sqrtTime: 35
--
n: 2761008291926573933737237449666129276749809720356657883515780052328904392558376989673192517409613049633
skew: 1050718.05
c0: 1869397933160735847249888633
c1: -2974137151366887645422
c2: -29405562574135537
c3: 6996497418
c4: 9540
Y0: -4124580940045758904762270
Y1: 182006476613
rlim: 2220000
alim: 2220000
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)

664×10154-79

c104

name 名前Cyp
date 日付January 9, 2015 09:46:52 UTC 2015 年 1 月 9 日 (金) 18 時 46 分 52 秒 (日本時間)
composite number 合成数
43011661003442972371906983764029131496908603160587442522547606554032433963300682743751099060920667973149<104>
prime factors 素因数
15486478733906093487447336464368457159347<41>
2777368680284514920042603929125096065924625851149306107284982767<64>
factorization results 素因数分解の結果
01/09/15 10:03:46 v1.34.3, 
01/09/15 10:03:46 v1.34.3, ****************************
01/09/15 10:03:46 v1.34.3, Starting factorization of 43011661003442972371906983764029131496908603160587442522547606554032433963300682743751099060920667973149
01/09/15 10:03:46 v1.34.3, using pretesting plan: none
01/09/15 10:03:46 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/09/15 10:03:46 v1.34.3, ****************************
01/09/15 10:03:46 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C104
01/09/15 10:03:46 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C104
01/09/15 10:03:46 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C104
01/09/15 10:03:46 v1.34.3, final ECM pretested depth: 0.00
01/09/15 10:03:46 v1.34.3, scheduler: switching to sieve method
01/09/15 10:03:46 v1.34.3, nfs: commencing nfs on c104: 43011661003442972371906983764029131496908603160587442522547606554032433963300682743751099060920667973149
01/09/15 10:03:46 v1.34.3, nfs: commencing poly selection with 8 threads
01/09/15 10:03:46 v1.34.3, nfs: setting deadline of 212 seconds
01/09/15 10:07:21 v1.34.3, nfs: completed 61 ranges of size 250 in 215.7694 seconds
01/09/15 10:07:22 v1.34.3, nfs: best poly = # norm 3.490544e-14 alpha -5.308087 e 6.697e-09 rroots 2
01/09/15 10:07:22 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 10:08:38 v1.34.3, nfs: commencing lattice sieving with 8 threads
[18 lines snipped]
01/09/15 10:33:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 10:34:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 10:35:31 v1.34.3, nfs: commencing msieve filtering
01/09/15 10:36:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 10:37:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 10:38:43 v1.34.3, nfs: commencing msieve filtering
01/09/15 10:39:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 10:40:46 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 10:42:01 v1.34.3, nfs: commencing msieve filtering
01/09/15 10:43:00 v1.34.3, nfs: commencing msieve linear algebra
01/09/15 10:46:15 v1.34.3, nfs: commencing msieve sqrt
01/09/15 10:46:51 v1.34.3, prp64 = 2777368680284514920042603929125096065924625851149306107284982767
01/09/15 10:46:51 v1.34.3, prp41 = 15486478733906093487447336464368457159347
01/09/15 10:46:51 v1.34.3, NFS elapsed time = 2585.2465 seconds.
01/09/15 10:46:51 v1.34.3, 
01/09/15 10:46:51 v1.34.3, 
01/09/15 10:46:51 v1.34.3, Total factoring time = 2585.2682 seconds
--
Fri Jan  9 10:35:31 2015  
Fri Jan  9 10:35:31 2015  commencing relation filtering
Fri Jan  9 10:35:31 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 10:35:31 2015  commencing duplicate removal, pass 1
Fri Jan  9 10:35:45 2015  found 439496 hash collisions in 4497839 relations
Fri Jan  9 10:35:48 2015  added 157459 free relations
Fri Jan  9 10:35:48 2015  commencing duplicate removal, pass 2
Fri Jan  9 10:35:52 2015  found 213800 duplicates and 4441498 unique relations
Fri Jan  9 10:35:52 2015  memory use: 20.6 MB
Fri Jan  9 10:35:52 2015  reading ideals above 100000
Fri Jan  9 10:35:52 2015  commencing singleton removal, initial pass
Fri Jan  9 10:36:09 2015  memory use: 172.2 MB
Fri Jan  9 10:36:09 2015  reading all ideals from disk
Fri Jan  9 10:36:09 2015  memory use: 141.9 MB
Fri Jan  9 10:36:10 2015  keeping 5429650 ideals with weight <= 200, target excess is 21186
Fri Jan  9 10:36:10 2015  commencing in-memory singleton removal
Fri Jan  9 10:36:10 2015  begin with 4441498 relations and 5429650 unique ideals
Fri Jan  9 10:36:11 2015  reduce to 754595 relations and 873613 ideals in 41 passes
Fri Jan  9 10:36:11 2015  max relations containing the same ideal: 65
Fri Jan  9 10:38:43 2015  
Fri Jan  9 10:38:43 2015  commencing relation filtering
Fri Jan  9 10:38:43 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 10:38:43 2015  commencing duplicate removal, pass 1
Fri Jan  9 10:38:58 2015  found 530336 hash collisions in 5058991 relations
Fri Jan  9 10:39:01 2015  added 1496 free relations
Fri Jan  9 10:39:01 2015  commencing duplicate removal, pass 2
Fri Jan  9 10:39:05 2015  found 249814 duplicates and 4810673 unique relations
Fri Jan  9 10:39:05 2015  memory use: 20.6 MB
Fri Jan  9 10:39:05 2015  reading ideals above 100000
Fri Jan  9 10:39:05 2015  commencing singleton removal, initial pass
Fri Jan  9 10:39:24 2015  memory use: 172.2 MB
Fri Jan  9 10:39:24 2015  reading all ideals from disk
Fri Jan  9 10:39:24 2015  memory use: 153.8 MB
Fri Jan  9 10:39:25 2015  keeping 5606106 ideals with weight <= 200, target excess is 22627
Fri Jan  9 10:39:25 2015  commencing in-memory singleton removal
Fri Jan  9 10:39:25 2015  begin with 4810673 relations and 5606106 unique ideals
Fri Jan  9 10:39:26 2015  reduce to 1336372 relations and 1371679 ideals in 24 passes
Fri Jan  9 10:39:26 2015  max relations containing the same ideal: 88
Fri Jan  9 10:42:01 2015  
Fri Jan  9 10:42:01 2015  commencing relation filtering
Fri Jan  9 10:42:01 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 10:42:01 2015  commencing duplicate removal, pass 1
Fri Jan  9 10:42:17 2015  found 610360 hash collisions in 5474140 relations
Fri Jan  9 10:42:21 2015  added 1190 free relations
Fri Jan  9 10:42:21 2015  commencing duplicate removal, pass 2
Fri Jan  9 10:42:25 2015  found 289064 duplicates and 5186266 unique relations
Fri Jan  9 10:42:25 2015  memory use: 20.6 MB
Fri Jan  9 10:42:25 2015  reading ideals above 100000
Fri Jan  9 10:42:25 2015  commencing singleton removal, initial pass
Fri Jan  9 10:42:45 2015  memory use: 172.2 MB
Fri Jan  9 10:42:46 2015  reading all ideals from disk
Fri Jan  9 10:42:46 2015  memory use: 166.0 MB
Fri Jan  9 10:42:46 2015  keeping 5769224 ideals with weight <= 200, target excess is 24481
Fri Jan  9 10:42:46 2015  commencing in-memory singleton removal
Fri Jan  9 10:42:46 2015  begin with 5186266 relations and 5769224 unique ideals
Fri Jan  9 10:42:48 2015  reduce to 1853131 relations and 1768851 ideals in 20 passes
Fri Jan  9 10:42:48 2015  max relations containing the same ideal: 104
Fri Jan  9 10:42:49 2015  removing 274011 relations and 246070 ideals in 27941 cliques
Fri Jan  9 10:42:49 2015  commencing in-memory singleton removal
Fri Jan  9 10:42:49 2015  begin with 1579120 relations and 1768851 unique ideals
Fri Jan  9 10:42:49 2015  reduce to 1542491 relations and 1485407 ideals in 13 passes
Fri Jan  9 10:42:49 2015  max relations containing the same ideal: 90
Fri Jan  9 10:42:49 2015  removing 202944 relations and 175003 ideals in 27941 cliques
Fri Jan  9 10:42:49 2015  commencing in-memory singleton removal
Fri Jan  9 10:42:49 2015  begin with 1339547 relations and 1485407 unique ideals
Fri Jan  9 10:42:50 2015  reduce to 1315157 relations and 1285524 ideals in 8 passes
Fri Jan  9 10:42:50 2015  max relations containing the same ideal: 83
Fri Jan  9 10:42:50 2015  relations with 0 large ideals: 437
Fri Jan  9 10:42:50 2015  relations with 1 large ideals: 219
Fri Jan  9 10:42:50 2015  relations with 2 large ideals: 3201
Fri Jan  9 10:42:50 2015  relations with 3 large ideals: 27328
Fri Jan  9 10:42:50 2015  relations with 4 large ideals: 120493
Fri Jan  9 10:42:50 2015  relations with 5 large ideals: 310440
Fri Jan  9 10:42:50 2015  relations with 6 large ideals: 403013
Fri Jan  9 10:42:50 2015  relations with 7+ large ideals: 450026
Fri Jan  9 10:42:50 2015  commencing 2-way merge
Fri Jan  9 10:42:50 2015  reduce to 737579 relation sets and 707947 unique ideals
Fri Jan  9 10:42:50 2015  ignored 1 oversize relation sets
Fri Jan  9 10:42:50 2015  commencing full merge
Fri Jan  9 10:42:57 2015  memory use: 77.2 MB
Fri Jan  9 10:42:57 2015  found 349199 cycles, need 346147
Fri Jan  9 10:42:57 2015  weight of 346147 cycles is about 24504399 (70.79/cycle)
Fri Jan  9 10:42:57 2015  distribution of cycle lengths:
Fri Jan  9 10:42:57 2015  1 relations: 37644
Fri Jan  9 10:42:57 2015  2 relations: 36256
Fri Jan  9 10:42:57 2015  3 relations: 35398
Fri Jan  9 10:42:57 2015  4 relations: 32549
Fri Jan  9 10:42:57 2015  5 relations: 29719
Fri Jan  9 10:42:57 2015  6 relations: 26002
Fri Jan  9 10:42:57 2015  7 relations: 22682
Fri Jan  9 10:42:57 2015  8 relations: 20385
Fri Jan  9 10:42:57 2015  9 relations: 17538
Fri Jan  9 10:42:57 2015  10+ relations: 87974
Fri Jan  9 10:42:57 2015  heaviest cycle: 27 relations
Fri Jan  9 10:42:57 2015  commencing cycle optimization
Fri Jan  9 10:42:57 2015  start with 2348864 relations
Fri Jan  9 10:42:59 2015  pruned 51423 relations
Fri Jan  9 10:42:59 2015  memory use: 76.5 MB
Fri Jan  9 10:42:59 2015  distribution of cycle lengths:
Fri Jan  9 10:42:59 2015  1 relations: 37644
Fri Jan  9 10:42:59 2015  2 relations: 36997
Fri Jan  9 10:42:59 2015  3 relations: 36481
Fri Jan  9 10:42:59 2015  4 relations: 33252
Fri Jan  9 10:42:59 2015  5 relations: 30375
Fri Jan  9 10:42:59 2015  6 relations: 26381
Fri Jan  9 10:42:59 2015  7 relations: 22970
Fri Jan  9 10:42:59 2015  8 relations: 20314
Fri Jan  9 10:42:59 2015  9 relations: 17517
Fri Jan  9 10:42:59 2015  10+ relations: 84216
Fri Jan  9 10:42:59 2015  heaviest cycle: 27 relations
Fri Jan  9 10:43:00 2015  RelProcTime: 59
Fri Jan  9 10:43:00 2015  
Fri Jan  9 10:43:00 2015  commencing linear algebra
Fri Jan  9 10:43:00 2015  read 346147 cycles
Fri Jan  9 10:43:00 2015  cycles contain 1270384 unique relations
Fri Jan  9 10:43:06 2015  read 1270384 relations
Fri Jan  9 10:43:07 2015  using 20 quadratic characters above 67108710
Fri Jan  9 10:43:11 2015  building initial matrix
Fri Jan  9 10:43:17 2015  memory use: 155.7 MB
Fri Jan  9 10:43:17 2015  read 346147 cycles
Fri Jan  9 10:43:17 2015  matrix is 345975 x 346147 (104.2 MB) with weight 33135385 (95.73/col)
Fri Jan  9 10:43:17 2015  sparse part has weight 23495743 (67.88/col)
Fri Jan  9 10:43:18 2015  filtering completed in 2 passes
Fri Jan  9 10:43:18 2015  matrix is 345411 x 345588 (104.1 MB) with weight 33108649 (95.80/col)
Fri Jan  9 10:43:18 2015  sparse part has weight 23486206 (67.96/col)
Fri Jan  9 10:43:19 2015  matrix starts at (0, 0)
Fri Jan  9 10:43:19 2015  matrix is 345411 x 345588 (104.1 MB) with weight 33108649 (95.80/col)
Fri Jan  9 10:43:19 2015  sparse part has weight 23486206 (67.96/col)
Fri Jan  9 10:43:19 2015  saving the first 48 matrix rows for later
Fri Jan  9 10:43:19 2015  matrix includes 64 packed rows
Fri Jan  9 10:43:19 2015  matrix is 345363 x 345588 (100.2 MB) with weight 26223556 (75.88/col)
Fri Jan  9 10:43:19 2015  sparse part has weight 22808951 (66.00/col)
Fri Jan  9 10:43:19 2015  using block size 65536 for processor cache size 8192 kB
Fri Jan  9 10:43:20 2015  commencing Lanczos iteration (8 threads)
Fri Jan  9 10:43:20 2015  memory use: 95.1 MB
Fri Jan  9 10:43:26 2015  linear algebra at 3.5%, ETA 0h 2m
Fri Jan  9 10:46:15 2015  lanczos halted after 5465 iterations (dim = 345363)
Fri Jan  9 10:46:15 2015  recovered 35 nontrivial dependencies
Fri Jan  9 10:46:15 2015  BLanczosTime: 195
Fri Jan  9 10:46:15 2015  
Fri Jan  9 10:46:15 2015  commencing square root phase
Fri Jan  9 10:46:15 2015  reading relations for dependency 1
Fri Jan  9 10:46:15 2015  read 172902 cycles
Fri Jan  9 10:46:15 2015  cycles contain 634664 unique relations
Fri Jan  9 10:46:20 2015  read 634664 relations
Fri Jan  9 10:46:21 2015  multiplying 634664 relations
Fri Jan  9 10:46:33 2015  multiply complete, coefficients have about 27.63 million bits
Fri Jan  9 10:46:33 2015  initial square root is modulo 85893023
Fri Jan  9 10:46:51 2015  sqrtTime: 36
--
n: 43011661003442972371906983764029131496908603160587442522547606554032433963300682743751099060920667973149
skew: 1491987.45
c0: -673524390384321191188958539
c1: 8521988185366259245171
c2: -2967960907011974
c3: 30905935076
c4: 1320
Y0: -13435327133998110970979928
Y1: 25503016571843
rlim: 2360000
alim: 2360000
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)

664×10155-79

c148

name 名前Cyp
date 日付January 13, 2015 02:32:18 UTC 2015 年 1 月 13 日 (火) 11 時 32 分 18 秒 (日本時間)
composite number 合成数
7146258227495303673623940480970293594437478903679339182023283841910140133809180153683854158912835232847461162922166675207252431305274658718844510607<148>
prime factors 素因数
3831004046270111703478386000103225583229942336173<49>
1865374753245939046810159892037696478747945855969042499676305741126062142857668027164257402785906859<100>
factorization results 素因数分解の結果
01/13/15 01:13:54 v1.34.3, 
01/13/15 01:13:54 v1.34.3, ****************************
01/13/15 01:13:54 v1.34.3, Starting factorization of 7146258227495303673623940480970293594437478903679339182023283841910140133809180153683854158912835232847461162922166675207252431305274658718844510607
01/13/15 01:13:54 v1.34.3, using pretesting plan: none
01/13/15 01:13:54 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/13/15 01:13:54 v1.34.3, ****************************
01/13/15 01:13:54 v1.34.3, nfs: commencing nfs on c148: 7146258227495303673623940480970293594437478903679339182023283841910140133809180153683854158912835232847461162922166675207252431305274658718844510607
01/13/15 01:13:54 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/13/15 01:13:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/13/15 01:18:31 v1.34.3, nfs: commencing lattice sieving with 8 threads
[25 lines snipped]
01/13/15 03:16:51 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/13/15 03:21:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/13/15 03:26:05 v1.34.3, nfs: commencing msieve filtering
01/13/15 03:27:52 v1.34.3, nfs: commencing msieve linear algebra
01/13/15 03:31:43 v1.34.3, nfs: commencing msieve sqrt
01/13/15 03:32:17 v1.34.3, prp49 = 3831004046270111703478386000103225583229942336173
01/13/15 03:32:17 v1.34.3, prp100 = 1865374753245939046810159892037696478747945855969042499676305741126062142857668027164257402785906859
01/13/15 03:32:17 v1.34.3, NFS elapsed time = 8302.6985 seconds.
01/13/15 03:32:17 v1.34.3, 
01/13/15 03:32:17 v1.34.3, 
01/13/15 03:32:17 v1.34.3, Total factoring time = 8302.6995 seconds
--
Tue Jan 13 03:26:05 2015  
Tue Jan 13 03:26:05 2015  commencing relation filtering
Tue Jan 13 03:26:05 2015  estimated available RAM is 15987.3 MB
Tue Jan 13 03:26:05 2015  commencing duplicate removal, pass 1
Tue Jan 13 03:26:33 2015  found 1213604 hash collisions in 10113982 relations
Tue Jan 13 03:26:41 2015  added 360448 free relations
Tue Jan 13 03:26:41 2015  commencing duplicate removal, pass 2
Tue Jan 13 03:26:49 2015  found 710470 duplicates and 9763960 unique relations
Tue Jan 13 03:26:49 2015  memory use: 41.3 MB
Tue Jan 13 03:26:49 2015  reading ideals above 100000
Tue Jan 13 03:26:49 2015  commencing singleton removal, initial pass
Tue Jan 13 03:27:33 2015  memory use: 188.2 MB
Tue Jan 13 03:27:33 2015  reading all ideals from disk
Tue Jan 13 03:27:33 2015  memory use: 335.6 MB
Tue Jan 13 03:27:34 2015  keeping 9791800 ideals with weight <= 200, target excess is 51486
Tue Jan 13 03:27:34 2015  commencing in-memory singleton removal
Tue Jan 13 03:27:35 2015  begin with 9763960 relations and 9791800 unique ideals
Tue Jan 13 03:27:37 2015  reduce to 4862587 relations and 3800613 ideals in 12 passes
Tue Jan 13 03:27:37 2015  max relations containing the same ideal: 131
Tue Jan 13 03:27:39 2015  removing 1289536 relations and 889536 ideals in 400000 cliques
Tue Jan 13 03:27:39 2015  commencing in-memory singleton removal
Tue Jan 13 03:27:39 2015  begin with 3573051 relations and 3800613 unique ideals
Tue Jan 13 03:27:40 2015  reduce to 3350972 relations and 2667270 ideals in 8 passes
Tue Jan 13 03:27:40 2015  max relations containing the same ideal: 101
Tue Jan 13 03:27:41 2015  removing 1091963 relations and 691963 ideals in 400000 cliques
Tue Jan 13 03:27:41 2015  commencing in-memory singleton removal
Tue Jan 13 03:27:41 2015  begin with 2259009 relations and 2667270 unique ideals
Tue Jan 13 03:27:42 2015  reduce to 2068929 relations and 1763560 ideals in 8 passes
Tue Jan 13 03:27:42 2015  max relations containing the same ideal: 71
Tue Jan 13 03:27:42 2015  removing 690411 relations and 444766 ideals in 245645 cliques
Tue Jan 13 03:27:42 2015  commencing in-memory singleton removal
Tue Jan 13 03:27:42 2015  begin with 1378518 relations and 1763560 unique ideals
Tue Jan 13 03:27:43 2015  reduce to 1237613 relations and 1161707 ideals in 9 passes
Tue Jan 13 03:27:43 2015  max relations containing the same ideal: 49
Tue Jan 13 03:27:43 2015  removing 84787 relations and 68605 ideals in 16182 cliques
Tue Jan 13 03:27:43 2015  commencing in-memory singleton removal
Tue Jan 13 03:27:43 2015  begin with 1152826 relations and 1161707 unique ideals
Tue Jan 13 03:27:43 2015  reduce to 1148010 relations and 1088212 ideals in 7 passes
Tue Jan 13 03:27:43 2015  max relations containing the same ideal: 47
Tue Jan 13 03:27:43 2015  relations with 0 large ideals: 1173
Tue Jan 13 03:27:43 2015  relations with 1 large ideals: 694
Tue Jan 13 03:27:43 2015  relations with 2 large ideals: 10695
Tue Jan 13 03:27:43 2015  relations with 3 large ideals: 63582
Tue Jan 13 03:27:43 2015  relations with 4 large ideals: 189318
Tue Jan 13 03:27:43 2015  relations with 5 large ideals: 315038
Tue Jan 13 03:27:43 2015  relations with 6 large ideals: 317390
Tue Jan 13 03:27:43 2015  relations with 7+ large ideals: 250120
Tue Jan 13 03:27:43 2015  commencing 2-way merge
Tue Jan 13 03:27:43 2015  reduce to 716966 relation sets and 657168 unique ideals
Tue Jan 13 03:27:43 2015  commencing full merge
Tue Jan 13 03:27:50 2015  memory use: 83.4 MB
Tue Jan 13 03:27:50 2015  found 365313 cycles, need 357368
Tue Jan 13 03:27:50 2015  weight of 357368 cycles is about 25186385 (70.48/cycle)
Tue Jan 13 03:27:50 2015  distribution of cycle lengths:
Tue Jan 13 03:27:50 2015  1 relations: 30827
Tue Jan 13 03:27:50 2015  2 relations: 34053
Tue Jan 13 03:27:50 2015  3 relations: 37272
Tue Jan 13 03:27:50 2015  4 relations: 37507
Tue Jan 13 03:27:50 2015  5 relations: 37121
Tue Jan 13 03:27:50 2015  6 relations: 34086
Tue Jan 13 03:27:50 2015  7 relations: 30585
Tue Jan 13 03:27:50 2015  8 relations: 25819
Tue Jan 13 03:27:50 2015  9 relations: 22054
Tue Jan 13 03:27:50 2015  10+ relations: 68044
Tue Jan 13 03:27:50 2015  heaviest cycle: 20 relations
Tue Jan 13 03:27:50 2015  commencing cycle optimization
Tue Jan 13 03:27:50 2015  start with 2197671 relations
Tue Jan 13 03:27:52 2015  pruned 69266 relations
Tue Jan 13 03:27:52 2015  memory use: 69.2 MB
Tue Jan 13 03:27:52 2015  distribution of cycle lengths:
Tue Jan 13 03:27:52 2015  1 relations: 30827
Tue Jan 13 03:27:52 2015  2 relations: 34814
Tue Jan 13 03:27:52 2015  3 relations: 38689
Tue Jan 13 03:27:52 2015  4 relations: 38862
Tue Jan 13 03:27:52 2015  5 relations: 38716
Tue Jan 13 03:27:52 2015  6 relations: 35065
Tue Jan 13 03:27:52 2015  7 relations: 31299
Tue Jan 13 03:27:52 2015  8 relations: 26346
Tue Jan 13 03:27:52 2015  9 relations: 22083
Tue Jan 13 03:27:52 2015  10+ relations: 60667
Tue Jan 13 03:27:52 2015  heaviest cycle: 20 relations
Tue Jan 13 03:27:52 2015  RelProcTime: 107
Tue Jan 13 03:27:52 2015  
Tue Jan 13 03:27:52 2015  commencing linear algebra
Tue Jan 13 03:27:52 2015  read 357368 cycles
Tue Jan 13 03:27:53 2015  cycles contain 1113229 unique relations
Tue Jan 13 03:28:03 2015  read 1113229 relations
Tue Jan 13 03:28:03 2015  using 20 quadratic characters above 134215484
Tue Jan 13 03:28:07 2015  building initial matrix
Tue Jan 13 03:28:12 2015  memory use: 141.9 MB
Tue Jan 13 03:28:13 2015  read 357368 cycles
Tue Jan 13 03:28:13 2015  matrix is 357198 x 357368 (106.4 MB) with weight 32686435 (91.46/col)
Tue Jan 13 03:28:13 2015  sparse part has weight 23970202 (67.07/col)
Tue Jan 13 03:28:14 2015  filtering completed in 2 passes
Tue Jan 13 03:28:14 2015  matrix is 357067 x 357243 (106.4 MB) with weight 32680965 (91.48/col)
Tue Jan 13 03:28:14 2015  sparse part has weight 23967788 (67.09/col)
Tue Jan 13 03:28:14 2015  matrix starts at (0, 0)
Tue Jan 13 03:28:14 2015  matrix is 357067 x 357243 (106.4 MB) with weight 32680965 (91.48/col)
Tue Jan 13 03:28:14 2015  sparse part has weight 23967788 (67.09/col)
Tue Jan 13 03:28:14 2015  saving the first 48 matrix rows for later
Tue Jan 13 03:28:14 2015  matrix includes 64 packed rows
Tue Jan 13 03:28:14 2015  matrix is 357019 x 357243 (101.2 MB) with weight 25680746 (71.89/col)
Tue Jan 13 03:28:14 2015  sparse part has weight 22969364 (64.30/col)
Tue Jan 13 03:28:14 2015  using block size 65536 for processor cache size 8192 kB
Tue Jan 13 03:28:15 2015  commencing Lanczos iteration (8 threads)
Tue Jan 13 03:28:15 2015  memory use: 97.4 MB
Tue Jan 13 03:28:22 2015  linear algebra at 3.4%, ETA 0h 3m
Tue Jan 13 03:31:42 2015  lanczos halted after 5649 iterations (dim = 357017)
Tue Jan 13 03:31:43 2015  recovered 36 nontrivial dependencies
Tue Jan 13 03:31:43 2015  BLanczosTime: 231
Tue Jan 13 03:31:43 2015  
Tue Jan 13 03:31:43 2015  commencing square root phase
Tue Jan 13 03:31:43 2015  reading relations for dependency 1
Tue Jan 13 03:31:43 2015  read 178900 cycles
Tue Jan 13 03:31:43 2015  cycles contain 557108 unique relations
Tue Jan 13 03:31:50 2015  read 557108 relations
Tue Jan 13 03:31:52 2015  multiplying 557108 relations
Tue Jan 13 03:32:03 2015  multiply complete, coefficients have about 16.69 million bits
Tue Jan 13 03:32:03 2015  initial square root is modulo 62191
Tue Jan 13 03:32:17 2015  sqrtTime: 34
--
n: 7146258227495303673623940480970293594437478903679339182023283841910140133809180153683854158912835232847461162922166675207252431305274658718844510607
m: 10000000000000000000000000000000
deg: 5
c5: 664
c0: -7
skew: 0.40
# Murphy_E = 8.305e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
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 00:01:53 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 53 秒 (日本時間)

664×10157-79

c129

name 名前Serge Batalov
date 日付January 8, 2015 23:04:47 UTC 2015 年 1 月 9 日 (金) 8 時 4 分 47 秒 (日本時間)
composite number 合成数
281378020429164842730522039190968455959579842240844772352046830826831778677620068366193906805952115965468043262771549132501568197<129>
prime factors 素因数
6877172508931955585830243084647931<34>
40914782937859391883172469546362772051674232617472816263836037485391749248776515203568059252287<95>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3095452581
Step 1 took 7965ms
Step 2 took 7820ms
********** Factor found in step 2: 6877172508931955585830243084647931
Found probable prime factor of 34 digits: 6877172508931955585830243084647931
Probable prime cofactor 

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)

664×10160-79

c161

name 名前Jo Yeong Uk
date 日付January 23, 2015 12:59:19 UTC 2015 年 1 月 23 日 (金) 21 時 59 分 19 秒 (日本時間)
composite number 合成数
10106544901065449010654490106544901065449010654490106544901065449010654490106544901065449010654490106544901065449010654490106544901065449010654490106544901065449<161>
prime factors 素因数
2105704137999569025751280131046740724087809<43>
4799603476425099524668785964589059505887916770625988161843771886512212169380076344638038238008010289080637127353609961<118>
factorization results 素因数分解の結果
Number: 73777_160
N=10106544901065449010654490106544901065449010654490106544901065449010654490106544901065449010654490106544901065449010654490106544901065449010654490106544901065449
  ( 161 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=2105704137999569025751280131046740724087809
 r2=4799603476425099524668785964589059505887916770625988161843771886512212169380076344638038238008010289080637127353609961
Version: 
Total time: 9.17 hours.
Scaled time: 48.19 units (timescale=5.255).
Factorization parameters were as follows:
n: 10106544901065449010654490106544901065449010654490106544901065449010654490106544901065449010654490106544901065449010654490106544901065449010654490106544901065449
m: 200000000000000000000000000000000
deg: 5
c5: 83
c0: -28
skew: 0.80
# Murphy_E = 5.316e-10
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 3000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9038404
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 663068 x 663316
Total sieving time: 8.39 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 0.41 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 9.17 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.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 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)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:01:54 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 54 秒 (日本時間)

664×10164-79

c166

name 名前Cyp
date 日付January 19, 2015 12:17:30 UTC 2015 年 1 月 19 日 (月) 21 時 17 分 30 秒 (日本時間)
composite number 合成数
2459259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259<166>
prime factors 素因数
34560619383111335598323069722329497808726809430387086527<56>
71157846796606320468697537647748603994793597399188621741093315436192212044250573646303703376192128510039182917<110>
factorization results 素因数分解の結果
01/19/15 08:12:39 v1.34.3, 
01/19/15 08:12:39 v1.34.3, ****************************
01/19/15 08:12:39 v1.34.3, Starting factorization of 2459259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259
01/19/15 08:12:39 v1.34.3, using pretesting plan: none
01/19/15 08:12:39 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/19/15 08:12:39 v1.34.3, ****************************
01/19/15 08:12:39 v1.34.3, nfs: commencing nfs on c166: 2459259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259
01/19/15 08:12:39 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/19/15 08:12:39 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/19/15 08:17:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
[57 lines snipped]
01/19/15 12:48:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/19/15 12:53:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/19/15 12:58:21 v1.34.3, nfs: commencing msieve filtering
01/19/15 13:00:21 v1.34.3, nfs: commencing msieve linear algebra
01/19/15 13:14:05 v1.34.3, nfs: commencing msieve sqrt
01/19/15 13:17:28 v1.34.3, prp110 = 71157846796606320468697537647748603994793597399188621741093315436192212044250573646303703376192128510039182917
01/19/15 13:17:28 v1.34.3, prp56 = 34560619383111335598323069722329497808726809430387086527
01/19/15 13:17:29 v1.34.3, NFS elapsed time = 18289.1845 seconds.
01/19/15 13:17:29 v1.34.3, 
01/19/15 13:17:29 v1.34.3, 
01/19/15 13:17:29 v1.34.3, Total factoring time = 18289.1856 seconds
--
Mon Jan 19 12:58:21 2015  
Mon Jan 19 12:58:21 2015  commencing relation filtering
Mon Jan 19 12:58:21 2015  estimated available RAM is 15987.3 MB
Mon Jan 19 12:58:21 2015  commencing duplicate removal, pass 1
Mon Jan 19 12:58:49 2015  found 1397782 hash collisions in 10171608 relations
Mon Jan 19 12:58:59 2015  added 366258 free relations
Mon Jan 19 12:58:59 2015  commencing duplicate removal, pass 2
Mon Jan 19 12:59:07 2015  found 955378 duplicates and 9582488 unique relations
Mon Jan 19 12:59:07 2015  memory use: 41.3 MB
Mon Jan 19 12:59:07 2015  reading ideals above 100000
Mon Jan 19 12:59:07 2015  commencing singleton removal, initial pass
Mon Jan 19 12:59:49 2015  memory use: 344.5 MB
Mon Jan 19 12:59:49 2015  reading all ideals from disk
Mon Jan 19 12:59:49 2015  memory use: 344.6 MB
Mon Jan 19 12:59:50 2015  keeping 10395679 ideals with weight <= 200, target excess is 50081
Mon Jan 19 12:59:50 2015  commencing in-memory singleton removal
Mon Jan 19 12:59:51 2015  begin with 9582488 relations and 10395679 unique ideals
Mon Jan 19 12:59:55 2015  reduce to 4162980 relations and 3807339 ideals in 18 passes
Mon Jan 19 12:59:55 2015  max relations containing the same ideal: 121
Mon Jan 19 12:59:57 2015  removing 823158 relations and 674384 ideals in 148774 cliques
Mon Jan 19 12:59:57 2015  commencing in-memory singleton removal
Mon Jan 19 12:59:57 2015  begin with 3339822 relations and 3807339 unique ideals
Mon Jan 19 12:59:58 2015  reduce to 3202528 relations and 2989471 ideals in 9 passes
Mon Jan 19 12:59:58 2015  max relations containing the same ideal: 98
Mon Jan 19 12:59:59 2015  removing 652427 relations and 503653 ideals in 148774 cliques
Mon Jan 19 12:59:59 2015  commencing in-memory singleton removal
Mon Jan 19 12:59:59 2015  begin with 2550101 relations and 2989471 unique ideals
Mon Jan 19 13:00:00 2015  reduce to 2440805 relations and 2371452 ideals in 9 passes
Mon Jan 19 13:00:00 2015  max relations containing the same ideal: 79
Mon Jan 19 13:00:01 2015  removing 85001 relations and 73742 ideals in 11259 cliques
Mon Jan 19 13:00:01 2015  commencing in-memory singleton removal
Mon Jan 19 13:00:01 2015  begin with 2355804 relations and 2371452 unique ideals
Mon Jan 19 13:00:01 2015  reduce to 2353949 relations and 2295847 ideals in 5 passes
Mon Jan 19 13:00:01 2015  max relations containing the same ideal: 78
Mon Jan 19 13:00:02 2015  relations with 0 large ideals: 1117
Mon Jan 19 13:00:02 2015  relations with 1 large ideals: 292
Mon Jan 19 13:00:02 2015  relations with 2 large ideals: 5054
Mon Jan 19 13:00:02 2015  relations with 3 large ideals: 42267
Mon Jan 19 13:00:02 2015  relations with 4 large ideals: 183434
Mon Jan 19 13:00:02 2015  relations with 5 large ideals: 455533
Mon Jan 19 13:00:02 2015  relations with 6 large ideals: 690608
Mon Jan 19 13:00:02 2015  relations with 7+ large ideals: 975644
Mon Jan 19 13:00:02 2015  commencing 2-way merge
Mon Jan 19 13:00:02 2015  reduce to 1410615 relation sets and 1352513 unique ideals
Mon Jan 19 13:00:02 2015  commencing full merge
Mon Jan 19 13:00:16 2015  memory use: 171.6 MB
Mon Jan 19 13:00:16 2015  found 718283 cycles, need 710713
Mon Jan 19 13:00:16 2015  weight of 710713 cycles is about 49999930 (70.35/cycle)
Mon Jan 19 13:00:16 2015  distribution of cycle lengths:
Mon Jan 19 13:00:16 2015  1 relations: 82752
Mon Jan 19 13:00:16 2015  2 relations: 76679
Mon Jan 19 13:00:16 2015  3 relations: 76281
Mon Jan 19 13:00:16 2015  4 relations: 72176
Mon Jan 19 13:00:16 2015  5 relations: 66762
Mon Jan 19 13:00:16 2015  6 relations: 59827
Mon Jan 19 13:00:16 2015  7 relations: 52814
Mon Jan 19 13:00:16 2015  8 relations: 46206
Mon Jan 19 13:00:16 2015  9 relations: 39127
Mon Jan 19 13:00:16 2015  10+ relations: 138089
Mon Jan 19 13:00:16 2015  heaviest cycle: 22 relations
Mon Jan 19 13:00:16 2015  commencing cycle optimization
Mon Jan 19 13:00:17 2015  start with 4270211 relations
Mon Jan 19 13:00:20 2015  pruned 103729 relations
Mon Jan 19 13:00:20 2015  memory use: 139.5 MB
Mon Jan 19 13:00:20 2015  distribution of cycle lengths:
Mon Jan 19 13:00:20 2015  1 relations: 82752
Mon Jan 19 13:00:20 2015  2 relations: 78196
Mon Jan 19 13:00:20 2015  3 relations: 78854
Mon Jan 19 13:00:20 2015  4 relations: 73765
Mon Jan 19 13:00:20 2015  5 relations: 68494
Mon Jan 19 13:00:20 2015  6 relations: 61052
Mon Jan 19 13:00:20 2015  7 relations: 53484
Mon Jan 19 13:00:20 2015  8 relations: 46714
Mon Jan 19 13:00:20 2015  9 relations: 39005
Mon Jan 19 13:00:20 2015  10+ relations: 128397
Mon Jan 19 13:00:20 2015  heaviest cycle: 22 relations
Mon Jan 19 13:00:21 2015  RelProcTime: 120
Mon Jan 19 13:00:21 2015  
Mon Jan 19 13:00:21 2015  commencing linear algebra
Mon Jan 19 13:00:21 2015  read 710713 cycles
Mon Jan 19 13:00:22 2015  cycles contain 2311256 unique relations
Mon Jan 19 13:00:33 2015  read 2311256 relations
Mon Jan 19 13:00:35 2015  using 20 quadratic characters above 134215142
Mon Jan 19 13:00:42 2015  building initial matrix
Mon Jan 19 13:00:55 2015  memory use: 288.2 MB
Mon Jan 19 13:00:55 2015  read 710713 cycles
Mon Jan 19 13:00:55 2015  matrix is 710535 x 710713 (213.2 MB) with weight 63786300 (89.75/col)
Mon Jan 19 13:00:55 2015  sparse part has weight 48083257 (67.65/col)
Mon Jan 19 13:00:58 2015  filtering completed in 2 passes
Mon Jan 19 13:00:58 2015  matrix is 710234 x 710412 (213.2 MB) with weight 63776270 (89.77/col)
Mon Jan 19 13:00:58 2015  sparse part has weight 48080006 (67.68/col)
Mon Jan 19 13:01:00 2015  matrix starts at (0, 0)
Mon Jan 19 13:01:00 2015  matrix is 710234 x 710412 (213.2 MB) with weight 63776270 (89.77/col)
Mon Jan 19 13:01:00 2015  sparse part has weight 48080006 (67.68/col)
Mon Jan 19 13:01:00 2015  saving the first 48 matrix rows for later
Mon Jan 19 13:01:00 2015  matrix includes 64 packed rows
Mon Jan 19 13:01:00 2015  matrix is 710186 x 710412 (202.2 MB) with weight 50419123 (70.97/col)
Mon Jan 19 13:01:00 2015  sparse part has weight 45891699 (64.60/col)
Mon Jan 19 13:01:00 2015  using block size 65536 for processor cache size 8192 kB
Mon Jan 19 13:01:01 2015  commencing Lanczos iteration (8 threads)
Mon Jan 19 13:01:01 2015  memory use: 196.5 MB
Mon Jan 19 13:01:05 2015  linear algebra at 0.4%, ETA 0h11m
Mon Jan 19 13:14:04 2015  lanczos halted after 11234 iterations (dim = 710186)
Mon Jan 19 13:14:05 2015  recovered 38 nontrivial dependencies
Mon Jan 19 13:14:05 2015  BLanczosTime: 824
Mon Jan 19 13:14:05 2015  
Mon Jan 19 13:14:05 2015  commencing square root phase
Mon Jan 19 13:14:05 2015  reading relations for dependency 1
Mon Jan 19 13:14:05 2015  read 354924 cycles
Mon Jan 19 13:14:05 2015  cycles contain 1155650 unique relations
Mon Jan 19 13:14:14 2015  read 1155650 relations
Mon Jan 19 13:14:17 2015  multiplying 1155650 relations
Mon Jan 19 13:14:41 2015  multiply complete, coefficients have about 34.34 million bits
Mon Jan 19 13:14:41 2015  initial square root is modulo 85331
Mon Jan 19 13:15:13 2015  GCD is 1, no factor found
Mon Jan 19 13:15:13 2015  reading relations for dependency 2
Mon Jan 19 13:15:13 2015  read 355231 cycles
Mon Jan 19 13:15:13 2015  cycles contain 1155492 unique relations
Mon Jan 19 13:15:22 2015  read 1155492 relations
Mon Jan 19 13:15:25 2015  multiplying 1155492 relations
Mon Jan 19 13:15:48 2015  multiply complete, coefficients have about 34.33 million bits
Mon Jan 19 13:15:49 2015  initial square root is modulo 85091
Mon Jan 19 13:16:20 2015  GCD is 1, no factor found
Mon Jan 19 13:16:20 2015  reading relations for dependency 3
Mon Jan 19 13:16:21 2015  read 355124 cycles
Mon Jan 19 13:16:21 2015  cycles contain 1155570 unique relations
Mon Jan 19 13:16:30 2015  read 1155570 relations
Mon Jan 19 13:16:32 2015  multiplying 1155570 relations
Mon Jan 19 13:16:57 2015  multiply complete, coefficients have about 34.34 million bits
Mon Jan 19 13:16:57 2015  initial square root is modulo 85201
Mon Jan 19 13:17:28 2015  sqrtTime: 203
--
n: 2459259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259
m: 1000000000000000000000000000000000
deg: 5
c5: 332
c0: -35
skew: 0.64
# Murphy_E = 2.864e-10
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
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 00:01:55 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 55 秒 (日本時間)

664×10166-79

c165

name 名前Ignacio Santos
date 日付February 8, 2015 10:16:43 UTC 2015 年 2 月 8 日 (日) 19 時 16 分 43 秒 (日本時間)
composite number 合成数
478765592328214002451510563126397000504722762996611147162737039440478765592328214002451510563126397000504722762996611147162737039440478765592328214002451510563126397<165>
prime factors 素因数
26214376531616127618869021170014548701<38>
18263474309632871409862519831105354715548155635820430585324521306692533669475886079176098246017550552098995038581341472561022497<128>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4282806994
Step 1 took 12375ms
Step 2 took 7422ms
********** Factor found in step 2: 26214376531616127618869021170014548701
Found probable prime factor of 38 digits: 26214376531616127618869021170014548701
Probable prime cofactor 18263474309632871409862519831105354715548155635820430585324521306692533669475886079176098246017550552098995038581341472561022497 has 128 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 00:01:56 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 56 秒 (日本時間)

664×10167-79

c156

name 名前Jo Yeong Uk
date 日付March 22, 2015 01:30:15 UTC 2015 年 3 月 22 日 (日) 10 時 30 分 15 秒 (日本時間)
composite number 合成数
164766501489605264055831696315298687205627020138521034988952182212447188236519209359637990002256967568144852097433102891370589294019982125939913797265679673<156>
prime factors 素因数
121944137780069252242931025625318395231725469337867<51>
1351163774570022573280894713362757908175226972696110010824650092033907808846649009852219751381532404620619<106>
factorization results 素因数分解の結果
Number: 73777_167
N=164766501489605264055831696315298687205627020138521034988952182212447188236519209359637990002256967568144852097433102891370589294019982125939913797265679673
  ( 156 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=121944137780069252242931025625318395231725469337867
 r2=1351163774570022573280894713362757908175226972696110010824650092033907808846649009852219751381532404620619
Version: 
Total time: 17.99 hours.
Scaled time: 92.29 units (timescale=5.129).
Factorization parameters were as follows:
n: 164766501489605264055831696315298687205627020138521034988952182212447188236519209359637990002256967568144852097433102891370589294019982125939913797265679673
m: 2000000000000000000000000000000000
deg: 5
c5: 2075
c0: -7
skew: 0.32
# Murphy_E = 2.59e-10
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2600000, 4900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10925842
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 865503 x 865751
Total sieving time: 16.32 hours.
Total relation processing time: 0.62 hours.
Matrix solve time: 0.73 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 17.99 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=3399946)
Total of 12 processors activated (81598.70 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)
403e62650300Serge BatalovJanuary 9, 2015 00:01:56 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 56 秒 (日本時間)
2350Ignacio SantosFebruary 14, 2015 23:45:12 UTC 2015 年 2 月 15 日 (日) 8 時 45 分 12 秒 (日本時間)

664×10168-79

c138

name 名前Jo Yeong Uk
date 日付April 2, 2015 22:10:26 UTC 2015 年 4 月 3 日 (金) 7 時 10 分 26 秒 (日本時間)
composite number 合成数
690344752629980102584202081612888188678430586858328309382523103669687356230645655404193088579965957027058965318512852690830825221788154509<138>
prime factors 素因数
2888964780855888427184409911930654592738052427309505317483318731<64>
238959213765651264517352692208670008232145011087064417704166066210109804039<75>
factorization results 素因数分解の結果
Number: 73777_168
N=690344752629980102584202081612888188678430586858328309382523103669687356230645655404193088579965957027058965318512852690830825221788154509
  ( 138 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=2888964780855888427184409911930654592738052427309505317483318731
 r2=238959213765651264517352692208670008232145011087064417704166066210109804039
Version: 
Total time: 22.56 hours.
Scaled time: 118.26 units (timescale=5.243).
Factorization parameters were as follows:
n: 690344752629980102584202081612888188678430586858328309382523103669687356230645655404193088579965957027058965318512852690830825221788154509
m: 2000000000000000000000000000000000
deg: 5
c5: 20750
c0: -7
skew: 0.20
# Murphy_E = 2.049e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2800000, 5700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11126873
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 971451 x 971699
Total sieving time: 20.66 hours.
Total relation processing time: 0.80 hours.
Matrix solve time: 0.94 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 22.56 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.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 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)
403e62650300Serge BatalovJanuary 9, 2015 00:01:57 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 57 秒 (日本時間)
2350Ignacio SantosFebruary 13, 2015 18:53:37 UTC 2015 年 2 月 14 日 (土) 3 時 53 分 37 秒 (日本時間)

664×10169-79

c159

name 名前Ignacio Santos
date 日付February 22, 2015 14:10:57 UTC 2015 年 2 月 22 日 (日) 23 時 10 分 57 秒 (日本時間)
composite number 合成数
564497426364461098014059956518089481139707881271643057870193711632270024821586834789303467380861390150307417974821862689799749332968419414359311514856730188307<159>
prime factors 素因数
131387378612688421810390397615460477772991<42>
4296435717988714856230426530049837699876409911652957645840541349070106843132895208645747654280091330512526680829148077<118>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3446445203
Step 1 took 12516ms
Step 2 took 7172ms
********** Factor found in step 2: 131387378612688421810390397615460477772991
Found probable prime factor of 42 digits: 131387378612688421810390397615460477772991
Probable prime cofactor 4296435717988714856230426530049837699876409911652957645840541349070106843132895208645747654280091330512526680829148077 has 118 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)
403e6301 / 2318300Serge BatalovJanuary 9, 2015 00:01:57 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 57 秒 (日本時間)
1CypJanuary 9, 2015 00:16:48 UTC 2015 年 1 月 9 日 (金) 9 時 16 分 48 秒 (日本時間)

664×10172-79

c167

name 名前Cyp
date 日付April 29, 2015 15:07:35 UTC 2015 年 4 月 30 日 (木) 0 時 7 分 35 秒 (日本時間)
composite number 合成数
69584366396565097699541894886883119527507899947699593768774482968508473672896448098503964417321632135267648772449512114559592842589798913023031702186708625201237935221<167>
prime factors 素因数
539093641718620651193633028574955000168195006985443331692022477501365841103309057<81>
129076585238014332211255957679066835351249204132886167926480654652858933856567240353653<87>
factorization results 素因数分解の結果
04/29/15 08:39:57 v1.34.3, 
04/29/15 08:39:57 v1.34.3, ****************************
04/29/15 08:39:57 v1.34.3, Starting factorization of 69584366396565097699541894886883119527507899947699593768774482968508473672896448098503964417321632135267648772449512114559592842589798913023031702186708625201237935221
04/29/15 08:39:57 v1.34.3, using pretesting plan: none
04/29/15 08:39:57 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
04/29/15 08:39:57 v1.34.3, ****************************
04/29/15 08:39:57 v1.34.3, nfs: commencing nfs on c167: 69584366396565097699541894886883119527507899947699593768774482968508473672896448098503964417321632135267648772449512114559592842589798913023031702186708625201237935221
04/29/15 08:39:57 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
04/29/15 08:39:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/29/15 08:44:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
[76 lines snipped]
04/29/15 15:22:55 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/29/15 15:28:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/29/15 15:33:25 v1.34.3, nfs: commencing msieve filtering
04/29/15 15:35:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/29/15 15:40:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/29/15 15:45:40 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/29/15 15:50:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/29/15 15:56:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/29/15 16:01:28 v1.34.3, nfs: commencing msieve filtering
04/29/15 16:03:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/29/15 16:08:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/29/15 16:13:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/29/15 16:18:58 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/29/15 16:24:04 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/29/15 16:29:17 v1.34.3, nfs: commencing msieve filtering
04/29/15 16:31:40 v1.34.3, nfs: commencing msieve linear algebra
04/29/15 17:03:54 v1.34.3, nfs: commencing msieve sqrt
04/29/15 17:07:33 v1.34.3, prp87 = 129076585238014332211255957679066835351249204132886167926480654652858933856567240353653
04/29/15 17:07:33 v1.34.3, prp81 = 539093641718620651193633028574955000168195006985443331692022477501365841103309057
04/29/15 17:07:33 v1.34.3, NFS elapsed time = 30455.7539 seconds.
04/29/15 17:07:33 v1.34.3, 
04/29/15 17:07:33 v1.34.3, 
04/29/15 17:07:33 v1.34.3, Total factoring time = 30455.7625 seconds
--
Wed Apr 29 15:33:25 2015  
Wed Apr 29 15:33:25 2015  commencing relation filtering
Wed Apr 29 15:33:25 2015  estimated available RAM is 15987.3 MB
Wed Apr 29 15:33:25 2015  commencing duplicate removal, pass 1
Wed Apr 29 15:33:56 2015  found 1382448 hash collisions in 10106276 relations
Wed Apr 29 15:34:05 2015  added 371472 free relations
Wed Apr 29 15:34:05 2015  commencing duplicate removal, pass 2
Wed Apr 29 15:34:13 2015  found 948051 duplicates and 9529697 unique relations
Wed Apr 29 15:34:13 2015  memory use: 41.3 MB
Wed Apr 29 15:34:13 2015  reading ideals above 100000
Wed Apr 29 15:34:13 2015  commencing singleton removal, initial pass
Wed Apr 29 15:34:57 2015  memory use: 344.5 MB
Wed Apr 29 15:34:57 2015  reading all ideals from disk
Wed Apr 29 15:34:57 2015  memory use: 350.3 MB
Wed Apr 29 15:34:58 2015  keeping 10972903 ideals with weight <= 200, target excess is 48948
Wed Apr 29 15:34:58 2015  commencing in-memory singleton removal
Wed Apr 29 15:34:58 2015  begin with 9529697 relations and 10972903 unique ideals
Wed Apr 29 15:35:03 2015  reduce to 3350777 relations and 3477747 ideals in 23 passes
Wed Apr 29 15:35:03 2015  max relations containing the same ideal: 98
Wed Apr 29 16:01:28 2015  
Wed Apr 29 16:01:28 2015  commencing relation filtering
Wed Apr 29 16:01:28 2015  estimated available RAM is 15987.3 MB
Wed Apr 29 16:01:28 2015  commencing duplicate removal, pass 1
Wed Apr 29 16:02:04 2015  found 1563289 hash collisions in 11067019 relations
Wed Apr 29 16:02:12 2015  added 1249 free relations
Wed Apr 29 16:02:12 2015  commencing duplicate removal, pass 2
Wed Apr 29 16:02:23 2015  found 1046629 duplicates and 10021639 unique relations
Wed Apr 29 16:02:23 2015  memory use: 41.3 MB
Wed Apr 29 16:02:23 2015  reading ideals above 720000
Wed Apr 29 16:02:23 2015  commencing singleton removal, initial pass
Wed Apr 29 16:03:06 2015  memory use: 344.5 MB
Wed Apr 29 16:03:06 2015  reading all ideals from disk
Wed Apr 29 16:03:06 2015  memory use: 297.8 MB
Wed Apr 29 16:03:06 2015  commencing in-memory singleton removal
Wed Apr 29 16:03:06 2015  begin with 10021639 relations and 11097867 unique ideals
Wed Apr 29 16:03:10 2015  reduce to 4072706 relations and 3947718 ideals in 18 passes
Wed Apr 29 16:03:10 2015  max relations containing the same ideal: 66
Wed Apr 29 16:29:17 2015  
Wed Apr 29 16:29:17 2015  commencing relation filtering
Wed Apr 29 16:29:17 2015  estimated available RAM is 15987.3 MB
Wed Apr 29 16:29:17 2015  commencing duplicate removal, pass 1
Wed Apr 29 16:29:55 2015  found 1705121 hash collisions in 11648388 relations
Wed Apr 29 16:30:04 2015  added 1070 free relations
Wed Apr 29 16:30:04 2015  commencing duplicate removal, pass 2
Wed Apr 29 16:30:13 2015  found 1146967 duplicates and 10502491 unique relations
Wed Apr 29 16:30:13 2015  memory use: 45.3 MB
Wed Apr 29 16:30:13 2015  reading ideals above 720000
Wed Apr 29 16:30:13 2015  commencing singleton removal, initial pass
Wed Apr 29 16:31:01 2015  memory use: 344.5 MB
Wed Apr 29 16:31:01 2015  reading all ideals from disk
Wed Apr 29 16:31:01 2015  memory use: 312.2 MB
Wed Apr 29 16:31:02 2015  commencing in-memory singleton removal
Wed Apr 29 16:31:02 2015  begin with 10502491 relations and 11275254 unique ideals
Wed Apr 29 16:31:06 2015  reduce to 4745964 relations and 4417046 ideals in 16 passes
Wed Apr 29 16:31:06 2015  max relations containing the same ideal: 73
Wed Apr 29 16:31:07 2015  removing 704801 relations and 607747 ideals in 97054 cliques
Wed Apr 29 16:31:07 2015  commencing in-memory singleton removal
Wed Apr 29 16:31:07 2015  begin with 4041163 relations and 4417046 unique ideals
Wed Apr 29 16:31:09 2015  reduce to 3949457 relations and 3714996 ideals in 12 passes
Wed Apr 29 16:31:09 2015  max relations containing the same ideal: 66
Wed Apr 29 16:31:10 2015  removing 540571 relations and 443517 ideals in 97054 cliques
Wed Apr 29 16:31:10 2015  commencing in-memory singleton removal
Wed Apr 29 16:31:11 2015  begin with 3408886 relations and 3714996 unique ideals
Wed Apr 29 16:31:12 2015  reduce to 3345102 relations and 3206082 ideals in 10 passes
Wed Apr 29 16:31:12 2015  max relations containing the same ideal: 59
Wed Apr 29 16:31:13 2015  relations with 0 large ideals: 2924
Wed Apr 29 16:31:13 2015  relations with 1 large ideals: 2046
Wed Apr 29 16:31:13 2015  relations with 2 large ideals: 29306
Wed Apr 29 16:31:13 2015  relations with 3 large ideals: 170447
Wed Apr 29 16:31:13 2015  relations with 4 large ideals: 521852
Wed Apr 29 16:31:13 2015  relations with 5 large ideals: 906840
Wed Apr 29 16:31:13 2015  relations with 6 large ideals: 951415
Wed Apr 29 16:31:13 2015  relations with 7+ large ideals: 760272
Wed Apr 29 16:31:13 2015  commencing 2-way merge
Wed Apr 29 16:31:14 2015  reduce to 2003668 relation sets and 1864648 unique ideals
Wed Apr 29 16:31:14 2015  commencing full merge
Wed Apr 29 16:31:32 2015  memory use: 222.9 MB
Wed Apr 29 16:31:32 2015  found 1003602 cycles, need 982848
Wed Apr 29 16:31:33 2015  weight of 982848 cycles is about 68979473 (70.18/cycle)
Wed Apr 29 16:31:33 2015  distribution of cycle lengths:
Wed Apr 29 16:31:33 2015  1 relations: 124870
Wed Apr 29 16:31:33 2015  2 relations: 110692
Wed Apr 29 16:31:33 2015  3 relations: 108440
Wed Apr 29 16:31:33 2015  4 relations: 98602
Wed Apr 29 16:31:33 2015  5 relations: 90334
Wed Apr 29 16:31:33 2015  6 relations: 78664
Wed Apr 29 16:31:33 2015  7 relations: 68094
Wed Apr 29 16:31:33 2015  8 relations: 59008
Wed Apr 29 16:31:33 2015  9 relations: 51012
Wed Apr 29 16:31:33 2015  10+ relations: 193132
Wed Apr 29 16:31:33 2015  heaviest cycle: 21 relations
Wed Apr 29 16:31:33 2015  commencing cycle optimization
Wed Apr 29 16:31:34 2015  start with 5836705 relations
Wed Apr 29 16:31:38 2015  pruned 145083 relations
Wed Apr 29 16:31:38 2015  memory use: 191.8 MB
Wed Apr 29 16:31:38 2015  distribution of cycle lengths:
Wed Apr 29 16:31:38 2015  1 relations: 124870
Wed Apr 29 16:31:38 2015  2 relations: 113120
Wed Apr 29 16:31:38 2015  3 relations: 112215
Wed Apr 29 16:31:38 2015  4 relations: 100900
Wed Apr 29 16:31:38 2015  5 relations: 92592
Wed Apr 29 16:31:38 2015  6 relations: 80030
Wed Apr 29 16:31:38 2015  7 relations: 68995
Wed Apr 29 16:31:38 2015  8 relations: 59408
Wed Apr 29 16:31:38 2015  9 relations: 50713
Wed Apr 29 16:31:38 2015  10+ relations: 180005
Wed Apr 29 16:31:38 2015  heaviest cycle: 21 relations
Wed Apr 29 16:31:39 2015  RelProcTime: 142
Wed Apr 29 16:31:40 2015  
Wed Apr 29 16:31:40 2015  commencing linear algebra
Wed Apr 29 16:31:40 2015  read 982848 cycles
Wed Apr 29 16:31:41 2015  cycles contain 3198986 unique relations
Wed Apr 29 16:31:55 2015  read 3198986 relations
Wed Apr 29 16:31:58 2015  using 20 quadratic characters above 134216988
Wed Apr 29 16:32:08 2015  building initial matrix
Wed Apr 29 16:32:27 2015  memory use: 393.9 MB
Wed Apr 29 16:32:27 2015  read 982848 cycles
Wed Apr 29 16:32:27 2015  matrix is 982665 x 982848 (294.1 MB) with weight 88561879 (90.11/col)
Wed Apr 29 16:32:27 2015  sparse part has weight 66296946 (67.45/col)
Wed Apr 29 16:32:33 2015  filtering completed in 2 passes
Wed Apr 29 16:32:33 2015  matrix is 980806 x 980989 (293.9 MB) with weight 88486613 (90.20/col)
Wed Apr 29 16:32:33 2015  sparse part has weight 66265997 (67.55/col)
Wed Apr 29 16:32:36 2015  matrix starts at (0, 0)
Wed Apr 29 16:32:36 2015  matrix is 980806 x 980989 (293.9 MB) with weight 88486613 (90.20/col)
Wed Apr 29 16:32:36 2015  sparse part has weight 66265997 (67.55/col)
Wed Apr 29 16:32:36 2015  saving the first 48 matrix rows for later
Wed Apr 29 16:32:36 2015  matrix includes 64 packed rows
Wed Apr 29 16:32:36 2015  matrix is 980758 x 980989 (279.9 MB) with weight 70224411 (71.59/col)
Wed Apr 29 16:32:36 2015  sparse part has weight 63560201 (64.79/col)
Wed Apr 29 16:32:36 2015  using block size 65536 for processor cache size 8192 kB
Wed Apr 29 16:32:39 2015  commencing Lanczos iteration (8 threads)
Wed Apr 29 16:32:39 2015  memory use: 273.2 MB
Wed Apr 29 16:32:44 2015  linear algebra at 0.3%, ETA 0h26m
Wed Apr 29 17:03:53 2015  lanczos halted after 15510 iterations (dim = 980758)
Wed Apr 29 17:03:54 2015  recovered 37 nontrivial dependencies
Wed Apr 29 17:03:54 2015  BLanczosTime: 1934
Wed Apr 29 17:03:54 2015  
Wed Apr 29 17:03:54 2015  commencing square root phase
Wed Apr 29 17:03:54 2015  reading relations for dependency 1
Wed Apr 29 17:03:54 2015  read 490716 cycles
Wed Apr 29 17:03:55 2015  cycles contain 1598906 unique relations
Wed Apr 29 17:04:07 2015  read 1598906 relations
Wed Apr 29 17:04:10 2015  multiplying 1598906 relations
Wed Apr 29 17:04:49 2015  multiply complete, coefficients have about 51.40 million bits
Wed Apr 29 17:04:49 2015  initial square root is modulo 23955961
Wed Apr 29 17:05:44 2015  Newton iteration failed to converge
Wed Apr 29 17:05:44 2015  algebraic square root failed
Wed Apr 29 17:05:44 2015  reading relations for dependency 2
Wed Apr 29 17:05:44 2015  read 490832 cycles
Wed Apr 29 17:05:44 2015  cycles contain 1599404 unique relations
Wed Apr 29 17:05:55 2015  read 1599404 relations
Wed Apr 29 17:05:59 2015  multiplying 1599404 relations
Wed Apr 29 17:06:38 2015  multiply complete, coefficients have about 51.42 million bits
Wed Apr 29 17:06:38 2015  initial square root is modulo 24082801
Wed Apr 29 17:07:33 2015  sqrtTime: 219
--
n: 69584366396565097699541894886883119527507899947699593768774482968508473672896448098503964417321632135267648772449512114559592842589798913023031702186708625201237935221
m: 20000000000000000000000000000000000
deg: 5
c5: 2075
c0: -7
skew: 0.32
# Murphy_E = 1.639e-10
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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)
403e62318300Serge BatalovJanuary 9, 2015 00:01:58 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 58 秒 (日本時間)
2018Kai InouyeMarch 15, 2015 16:11:23 UTC 2015 年 3 月 16 日 (月) 1 時 11 分 23 秒 (日本時間)

664×10173-79

c113

name 名前Cyp
date 日付January 11, 2015 00:21:22 UTC 2015 年 1 月 11 日 (日) 9 時 21 分 22 秒 (日本時間)
composite number 合成数
16886384658055712749283225178582288283346106856536033316707187849184917819878491210652650725232011078200678442393<113>
prime factors 素因数
23304685374772672626416333581601197231488700469<47>
724591831492186892793720997146660301380087434572198238982649050197<66>
factorization results 素因数分解の結果
01/10/15 22:44:38 v1.34.3, 
01/10/15 22:44:38 v1.34.3, ****************************
01/10/15 22:44:38 v1.34.3, Starting factorization of 16886384658055712749283225178582288283346106856536033316707187849184917819878491210652650725232011078200678442393
01/10/15 22:44:38 v1.34.3, using pretesting plan: none
01/10/15 22:44:38 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/10/15 22:44:38 v1.34.3, ****************************
01/10/15 22:44:38 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C113
01/10/15 22:44:38 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C113
01/10/15 22:44:38 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C113
01/10/15 22:44:38 v1.34.3, final ECM pretested depth: 0.00
01/10/15 22:44:38 v1.34.3, scheduler: switching to sieve method
01/10/15 22:44:38 v1.34.3, nfs: commencing nfs on c113: 16886384658055712749283225178582288283346106856536033316707187849184917819878491210652650725232011078200678442393
01/10/15 22:44:38 v1.34.3, nfs: commencing poly selection with 8 threads
01/10/15 22:44:38 v1.34.3, nfs: setting deadline of 650 seconds
01/10/15 22:55:23 v1.34.3, nfs: completed 138 ranges of size 250 in 645.1815 seconds
01/10/15 22:55:23 v1.34.3, nfs: best poly = # norm 9.288092e-11 alpha -5.612393 e 6.701e-10 rroots 3
01/10/15 22:55:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 23:00:55 v1.34.3, nfs: commencing lattice sieving with 8 threads
[20 lines snipped]
01/11/15 01:01:33 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/11/15 01:07:16 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/11/15 01:13:14 v1.34.3, nfs: commencing msieve filtering
01/11/15 01:15:05 v1.34.3, nfs: commencing msieve linear algebra
01/11/15 01:20:23 v1.34.3, nfs: commencing msieve sqrt
01/11/15 01:21:21 v1.34.3, prp66 = 724591831492186892793720997146660301380087434572198238982649050197
01/11/15 01:21:21 v1.34.3, prp47 = 23304685374772672626416333581601197231488700469
01/11/15 01:21:21 v1.34.3, NFS elapsed time = 9403.0704 seconds.
01/11/15 01:21:21 v1.34.3, 
01/11/15 01:21:21 v1.34.3, 
01/11/15 01:21:21 v1.34.3, Total factoring time = 9403.0936 seconds
--
Sun Jan 11 01:13:14 2015  
Sun Jan 11 01:13:14 2015  commencing relation filtering
Sun Jan 11 01:13:14 2015  estimated available RAM is 15987.3 MB
Sun Jan 11 01:13:14 2015  commencing duplicate removal, pass 1
Sun Jan 11 01:13:47 2015  found 1087731 hash collisions in 10464693 relations
Sun Jan 11 01:13:57 2015  added 62808 free relations
Sun Jan 11 01:13:57 2015  commencing duplicate removal, pass 2
Sun Jan 11 01:14:05 2015  found 480935 duplicates and 10046566 unique relations
Sun Jan 11 01:14:05 2015  memory use: 41.3 MB
Sun Jan 11 01:14:05 2015  reading ideals above 720000
Sun Jan 11 01:14:05 2015  commencing singleton removal, initial pass
Sun Jan 11 01:14:47 2015  memory use: 344.5 MB
Sun Jan 11 01:14:47 2015  reading all ideals from disk
Sun Jan 11 01:14:47 2015  memory use: 275.0 MB
Sun Jan 11 01:14:47 2015  keeping 10576947 ideals with weight <= 200, target excess is 126135
Sun Jan 11 01:14:48 2015  commencing in-memory singleton removal
Sun Jan 11 01:14:48 2015  begin with 10046566 relations and 10576947 unique ideals
Sun Jan 11 01:14:51 2015  reduce to 4034073 relations and 3493435 ideals in 18 passes
Sun Jan 11 01:14:51 2015  max relations containing the same ideal: 107
Sun Jan 11 01:14:52 2015  removing 1033737 relations and 836576 ideals in 197161 cliques
Sun Jan 11 01:14:52 2015  commencing in-memory singleton removal
Sun Jan 11 01:14:52 2015  begin with 3000336 relations and 3493435 unique ideals
Sun Jan 11 01:14:53 2015  reduce to 2785067 relations and 2427637 ideals in 12 passes
Sun Jan 11 01:14:53 2015  max relations containing the same ideal: 82
Sun Jan 11 01:14:54 2015  removing 792962 relations and 595802 ideals in 197161 cliques
Sun Jan 11 01:14:54 2015  commencing in-memory singleton removal
Sun Jan 11 01:14:54 2015  begin with 1992105 relations and 2427637 unique ideals
Sun Jan 11 01:14:55 2015  reduce to 1808966 relations and 1634704 ideals in 10 passes
Sun Jan 11 01:14:55 2015  max relations containing the same ideal: 61
Sun Jan 11 01:14:55 2015  removing 176280 relations and 148335 ideals in 27945 cliques
Sun Jan 11 01:14:55 2015  commencing in-memory singleton removal
Sun Jan 11 01:14:55 2015  begin with 1632686 relations and 1634704 unique ideals
Sun Jan 11 01:14:56 2015  reduce to 1620389 relations and 1473877 ideals in 9 passes
Sun Jan 11 01:14:56 2015  max relations containing the same ideal: 54
Sun Jan 11 01:14:56 2015  relations with 0 large ideals: 1663
Sun Jan 11 01:14:56 2015  relations with 1 large ideals: 16220
Sun Jan 11 01:14:56 2015  relations with 2 large ideals: 94962
Sun Jan 11 01:14:56 2015  relations with 3 large ideals: 287485
Sun Jan 11 01:14:56 2015  relations with 4 large ideals: 474393
Sun Jan 11 01:14:56 2015  relations with 5 large ideals: 436394
Sun Jan 11 01:14:56 2015  relations with 6 large ideals: 229214
Sun Jan 11 01:14:56 2015  relations with 7+ large ideals: 80058
Sun Jan 11 01:14:56 2015  commencing 2-way merge
Sun Jan 11 01:14:57 2015  reduce to 918318 relation sets and 771806 unique ideals
Sun Jan 11 01:14:57 2015  commencing full merge
Sun Jan 11 01:15:02 2015  memory use: 80.8 MB
Sun Jan 11 01:15:02 2015  found 457815 cycles, need 438006
Sun Jan 11 01:15:02 2015  weight of 438006 cycles is about 30774824 (70.26/cycle)
Sun Jan 11 01:15:02 2015  distribution of cycle lengths:
Sun Jan 11 01:15:02 2015  1 relations: 45705
Sun Jan 11 01:15:02 2015  2 relations: 43924
Sun Jan 11 01:15:02 2015  3 relations: 45784
Sun Jan 11 01:15:02 2015  4 relations: 44436
Sun Jan 11 01:15:02 2015  5 relations: 41566
Sun Jan 11 01:15:02 2015  6 relations: 38552
Sun Jan 11 01:15:02 2015  7 relations: 34366
Sun Jan 11 01:15:02 2015  8 relations: 30677
Sun Jan 11 01:15:02 2015  9 relations: 26592
Sun Jan 11 01:15:02 2015  10+ relations: 86404
Sun Jan 11 01:15:02 2015  heaviest cycle: 18 relations
Sun Jan 11 01:15:02 2015  commencing cycle optimization
Sun Jan 11 01:15:03 2015  start with 2646061 relations
Sun Jan 11 01:15:04 2015  pruned 60661 relations
Sun Jan 11 01:15:04 2015  memory use: 89.6 MB
Sun Jan 11 01:15:04 2015  distribution of cycle lengths:
Sun Jan 11 01:15:04 2015  1 relations: 45705
Sun Jan 11 01:15:04 2015  2 relations: 44929
Sun Jan 11 01:15:04 2015  3 relations: 47327
Sun Jan 11 01:15:04 2015  4 relations: 45549
Sun Jan 11 01:15:04 2015  5 relations: 42671
Sun Jan 11 01:15:04 2015  6 relations: 39280
Sun Jan 11 01:15:04 2015  7 relations: 35124
Sun Jan 11 01:15:04 2015  8 relations: 30864
Sun Jan 11 01:15:04 2015  9 relations: 26743
Sun Jan 11 01:15:04 2015  10+ relations: 79814
Sun Jan 11 01:15:04 2015  heaviest cycle: 18 relations
Sun Jan 11 01:15:05 2015  RelProcTime: 111
Sun Jan 11 01:15:05 2015  
Sun Jan 11 01:15:05 2015  commencing linear algebra
Sun Jan 11 01:15:05 2015  read 438006 cycles
Sun Jan 11 01:15:05 2015  cycles contain 1506451 unique relations
Sun Jan 11 01:15:16 2015  read 1506451 relations
Sun Jan 11 01:15:17 2015  using 20 quadratic characters above 134217468
Sun Jan 11 01:15:22 2015  building initial matrix
Sun Jan 11 01:15:30 2015  memory use: 193.3 MB
Sun Jan 11 01:15:30 2015  read 438006 cycles
Sun Jan 11 01:15:30 2015  matrix is 437828 x 438006 (131.1 MB) with weight 42200308 (96.35/col)
Sun Jan 11 01:15:30 2015  sparse part has weight 29546340 (67.46/col)
Sun Jan 11 01:15:32 2015  filtering completed in 2 passes
Sun Jan 11 01:15:32 2015  matrix is 436712 x 436895 (131.0 MB) with weight 42145036 (96.46/col)
Sun Jan 11 01:15:32 2015  sparse part has weight 29524164 (67.58/col)
Sun Jan 11 01:15:33 2015  matrix starts at (0, 0)
Sun Jan 11 01:15:33 2015  matrix is 436712 x 436895 (131.0 MB) with weight 42145036 (96.46/col)
Sun Jan 11 01:15:33 2015  sparse part has weight 29524164 (67.58/col)
Sun Jan 11 01:15:33 2015  saving the first 48 matrix rows for later
Sun Jan 11 01:15:33 2015  matrix includes 64 packed rows
Sun Jan 11 01:15:33 2015  matrix is 436664 x 436895 (126.7 MB) with weight 33341226 (76.31/col)
Sun Jan 11 01:15:33 2015  sparse part has weight 28842309 (66.02/col)
Sun Jan 11 01:15:33 2015  using block size 65536 for processor cache size 8192 kB
Sun Jan 11 01:15:34 2015  commencing Lanczos iteration (8 threads)
Sun Jan 11 01:15:34 2015  memory use: 119.9 MB
Sun Jan 11 01:15:42 2015  linear algebra at 2.8%, ETA 0h 4m
Sun Jan 11 01:20:23 2015  lanczos halted after 6907 iterations (dim = 436663)
Sun Jan 11 01:20:23 2015  recovered 33 nontrivial dependencies
Sun Jan 11 01:20:23 2015  BLanczosTime: 318
Sun Jan 11 01:20:23 2015  
Sun Jan 11 01:20:23 2015  commencing square root phase
Sun Jan 11 01:20:23 2015  reading relations for dependency 1
Sun Jan 11 01:20:23 2015  read 218275 cycles
Sun Jan 11 01:20:23 2015  cycles contain 752134 unique relations
Sun Jan 11 01:20:32 2015  read 752134 relations
Sun Jan 11 01:20:33 2015  multiplying 752134 relations
Sun Jan 11 01:20:55 2015  multiply complete, coefficients have about 32.73 million bits
Sun Jan 11 01:20:55 2015  initial square root is modulo 2503483687
Sun Jan 11 01:21:21 2015  sqrtTime: 58
--
n: 16886384658055712749283225178582288283346106856536033316707187849184917819878491210652650725232011078200678442393
skew: 37728.70
c0: -109690200914257885730171660
c1: 20159723799576844103087
c2: -1019465462709124962
c3: -117326144233877
c4: 1055872193
c5: 14136
Y0: -4125167817405535325529
Y1: 259010432389
rlim: 3980000
alim: 3980000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
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 10, 2015 12:05:29 UTC 2015 年 1 月 10 日 (土) 21 時 5 分 29 秒 (日本時間)
403e6110 / 2126Ignacio SantosJanuary 10, 2015 12:05:29 UTC 2015 年 1 月 10 日 (土) 21 時 5 分 29 秒 (日本時間)
4511e632 / 4437Ignacio SantosJanuary 10, 2015 12:05:29 UTC 2015 年 1 月 10 日 (土) 21 時 5 分 29 秒 (日本時間)

664×10174-79

c135

name 名前Jo Yeong Uk
date 日付May 17, 2015 13:18:39 UTC 2015 年 5 月 17 日 (日) 22 時 18 分 39 秒 (日本時間)
composite number 合成数
101727812952121603144316656914189712689714197222501725397741698855945781965274524645110828410875729889973827943213413263860941932768781<135>
prime factors 素因数
510202470715266998195805864836113836061254900938744378477567<60>
199387142930739947106504994124951458644122834068422009145852338093456160243<75>
factorization results 素因数分解の結果
Number: 73777_174
N=101727812952121603144316656914189712689714197222501725397741698855945781965274524645110828410875729889973827943213413263860941932768781
  ( 135 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=510202470715266998195805864836113836061254900938744378477567
 r2=199387142930739947106504994124951458644122834068422009145852338093456160243
Version: 
Total time: 37.77 hours.
Scaled time: 198.48 units (timescale=5.255).
Factorization parameters were as follows:
n: 101727812952121603144316656914189712689714197222501725397741698855945781965274524645110828410875729889973827943213413263860941932768781
m: 100000000000000000000000000000000000
deg: 5
c5: 332
c0: -35
skew: 0.64
# Murphy_E = 1.147e-10
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3800000, 8000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18390894
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1379705 x 1379953
Total sieving time: 33.35 hours.
Total relation processing time: 1.93 hours.
Matrix solve time: 2.23 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000
total time: 37.77 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.. 6799.77 BogoMIPS (lpj=3399888)
Total of 12 processors activated (81597.31 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 00:01:58 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 58 秒 (日本時間)
1CypJanuary 9, 2015 07:18:48 UTC 2015 年 1 月 9 日 (金) 16 時 18 分 48 秒 (日本時間)
4511e6600 / 4409KTakahashiApril 27, 2015 20:25:57 UTC 2015 年 4 月 28 日 (火) 5 時 25 分 57 秒 (日本時間)

664×10176-79

c116

name 名前Dmitry Domanov
date 日付January 13, 2015 06:33:21 UTC 2015 年 1 月 13 日 (火) 15 時 33 分 21 秒 (日本時間)
composite number 合成数
52107953283641549777614771004180641038977189654092956623492248776686494724736107293953281944980815266007052368488177<116>
prime factors 素因数
227370236335050901286697121039394510168688306321769<51>
229176668518986365640425172078581638298549477941476180844956764233<66>
factorization results 素因数分解の結果
N=52107953283641549777614771004180641038977189654092956623492248776686494724736107293953281944980815266007052368488177
  ( 116 digits)
Divisors found:
 r1=227370236335050901286697121039394510168688306321769 (pp51)
 r2=229176668518986365640425172078581638298549477941476180844956764233 (pp66)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 24.56 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 52107953283641549777614771004180641038977189654092956623492248776686494724736107293953281944980815266007052368488177
skew: 131507.23
c0: -48542943017322118594627332725
c1: -1191783832844360597278185
c2: 24991708779429282553
c3: -127169124004035
c4: -2534878244
c5: 6204
Y0: -24257602215728158137324
Y1: 973913861287
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2350000, 3450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 608089 x 608318
Total sieving time: 23.98 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.37 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4700000,4700000,27,27,54,54,2.5,2.5,100000
total time: 24.56 hours.

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 10, 2015 13:24:44 UTC 2015 年 1 月 10 日 (土) 22 時 24 分 44 秒 (日本時間)
403e6410 / 2126110Ignacio SantosJanuary 10, 2015 13:24:44 UTC 2015 年 1 月 10 日 (土) 22 時 24 分 44 秒 (日本時間)
300Serge BatalovJanuary 11, 2015 00:11:34 UTC 2015 年 1 月 11 日 (日) 9 時 11 分 34 秒 (日本時間)
4511e632 / 4371Ignacio SantosJanuary 10, 2015 13:24:44 UTC 2015 年 1 月 10 日 (土) 22 時 24 分 44 秒 (日本時間)

664×10177-79

c178

name 名前Maksym Voznyy
date 日付February 11, 2015 12:07:52 UTC 2015 年 2 月 11 日 (水) 21 時 7 分 52 秒 (日本時間)
composite number 合成数
6707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707<178>
prime factors 素因数
97683253449379432801359182798057420208065865712241126003371949898934966413354925307<83>
68661418106291750406435690463002567954315667233381674936481287402370733078524590899049486212201<95>
factorization results 素因数分解の結果
Number: example10
N = 6707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707 (178 digits)
SNFS difficulty: 180 digits.
Divisors found:
r1=97683253449379432801359182798057420208065865712241126003371949898934966413354925307 (pp83)
r2=68661418106291750406435690463002567954315667233381674936481287402370733078524590899049486212201 (pp95)
Version: Msieve v. 1.51 (SVN 845)
Total time: 31.68 hours.
Factorization parameters were as follows:
n: 6707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707
m: 200000000000000000000000000000000000
deg: 5
c5: 2075
c0: -7
skew: 0.32
# Murphy_E = 1.033e-10
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 18435314
Relations: 2349014 relations
Pruned matrix : 1377990 x 1378215
Polynomial selection time: 0.00 hours.
Total sieving time: 27.62 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 3.69 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: snfs,180,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,100000
total time: 31.68 hours.
x86 Family 6 Model 15 Stepping 6, GenuineIntel
Windows-XP-5.1.2600-SP3
processors: 4, speed: 2.66GHz

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 00:01:59 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 59 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:08:44 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 44 秒 (日本時間)
4511e60 / 436--
5043e61000 / 7462Serge BatalovJanuary 11, 2015 21:22:46 UTC 2015 年 1 月 12 日 (月) 6 時 22 分 46 秒 (日本時間)

664×10178-79

c125

name 名前Erik Branger
date 日付January 31, 2015 09:38:36 UTC 2015 年 1 月 31 日 (土) 18 時 38 分 36 秒 (日本時間)
composite number 合成数
14362308875690692376654356127272917011305559919853585633123530286081193755806365091554965398792704714916910409352093629018501<125>
prime factors 素因数
44747584987346810567290950962302883550867381739099<50>
320962771057966482877188376351036976899418867363096245525925575482391082399<75>
factorization results 素因数分解の結果
Number: 73777_178
N = 14362308875690692376654356127272917011305559919853585633123530286081193755806365091554965398792704714916910409352093629018501 (125 digits)
Divisors found:
r1=44747584987346810567290950962302883550867381739099 (pp50)
r2=320962771057966482877188376351036976899418867363096245525925575482391082399 (pp75)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 25.62 hours.
Factorization parameters were as follows:
# Murphy_E = 1.834e-10, selected by Erik Branger
# expecting poly E from 1.88e-010 to > 2.16e-010
n: 14362308875690692376654356127272917011305559919853585633123530286081193755806365091554965398792704714916910409352093629018501
Y0: -906987072354495547886925
Y1: 17690399868023
c0: -121819282204681611175792506368
c1: 8148936657278148721681072
c2: -140502352154371306078
c3: -1231261803736243
c4: 8067379650
c5: 23400
skew: 135930.89
type: gnfs
# selected mechanically
rlim: 6800000
alim: 6800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10660871
Relations: 1494630 relations
Pruned matrix : 892248 x 892475
Polynomial selection time: 0.00 hours.
Total sieving time: 24.99 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.47 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: gnfs,124,5,65,2000,1e-05,0.28,250,20,50000,3600,6800000,6800000,27,27,52,52,2.5,2.5,100000
total time: 25.62 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 00:01:59 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 59 秒 (日本時間)
4511e6660 / 4409Pierre JammesJanuary 15, 2015 08:44:53 UTC 2015 年 1 月 15 日 (木) 17 時 44 分 53 秒 (日本時間)

664×10179-79

c140

name 名前Serge Batalov
date 日付January 9, 2015 03:47:45 UTC 2015 年 1 月 9 日 (金) 12 時 47 分 45 秒 (日本時間)
composite number 合成数
21910003276478700152813993267029516029022105694318974088659059833520570689411899439275708045652653523000803169147112472793819557608189491789<140>
prime factors 素因数
659885598912029300920782685833451<33>
composite cofactor 合成数の残り
33202729855905777252120976884993730199474201039554608887649109941677069299167947560398841508715218658147239<107>
factorization results 素因数分解の結果
Input number is 21910003276478700152813993267029516029022105694318974088659059833520570689411899439275708045652653523000803169147112472793819557608189491789 (140 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2026568931
Step 1 took 9992ms
Step 2 took 8700ms
********** Factor found in step 2: 659885598912029300920782685833451
Found probable prime factor of 33 digits: 659885598912029300920782685833451
Composite cofactor 33202729855905777252120976884993730199474201039554608887649109941677069299167947560398841508715218658147239 has 107 digits

c107

name 名前Cyp
date 日付January 10, 2015 00:54:30 UTC 2015 年 1 月 10 日 (土) 9 時 54 分 30 秒 (日本時間)
composite number 合成数
33202729855905777252120976884993730199474201039554608887649109941677069299167947560398841508715218658147239<107>
prime factors 素因数
226816439238336022304289640811015544215849<42>
146385905569290516889408157500320004124562196703550464526340012111<66>
factorization results 素因数分解の結果
01/10/15 00:53:58 v1.34.3, 
01/10/15 00:53:58 v1.34.3, ****************************
01/10/15 00:53:58 v1.34.3, Starting factorization of 33202729855905777252120976884993730199474201039554608887649109941677069299167947560398841508715218658147239
01/10/15 00:53:58 v1.34.3, using pretesting plan: none
01/10/15 00:53:58 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/10/15 00:53:58 v1.34.3, ****************************
01/10/15 00:53:58 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C107
01/10/15 00:53:58 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C107
01/10/15 00:53:58 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C107
01/10/15 00:53:58 v1.34.3, final ECM pretested depth: 0.00
01/10/15 00:53:58 v1.34.3, scheduler: switching to sieve method
01/10/15 00:53:58 v1.34.3, nfs: commencing nfs on c107: 33202729855905777252120976884993730199474201039554608887649109941677069299167947560398841508715218658147239
01/10/15 00:53:58 v1.34.3, nfs: commencing poly selection with 8 threads
01/10/15 00:53:58 v1.34.3, nfs: setting deadline of 304 seconds
01/10/15 00:59:42 v1.34.3, nfs: completed 60 ranges of size 250 in 344.2363 seconds
01/10/15 00:59:42 v1.34.3, nfs: best poly = # norm 1.405991e-14 alpha -5.795668 e 4.611e-09 rroots 4
01/10/15 00:59:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 01:01:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
[18 lines snipped]
01/10/15 01:35:17 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 01:37:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 01:38:57 v1.34.3, nfs: commencing msieve filtering
01/10/15 01:39:38 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 01:41:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 01:43:18 v1.34.3, nfs: commencing msieve filtering
01/10/15 01:44:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 01:45:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 01:47:49 v1.34.3, nfs: commencing msieve filtering
01/10/15 01:48:52 v1.34.3, nfs: commencing msieve linear algebra
01/10/15 01:53:12 v1.34.3, nfs: commencing msieve sqrt
01/10/15 01:54:29 v1.34.3, prp42 = 226816439238336022304289640811015544215849
01/10/15 01:54:29 v1.34.3, prp66 = 146385905569290516889408157500320004124562196703550464526340012111
01/10/15 01:54:29 v1.34.3, NFS elapsed time = 3630.8650 seconds.
01/10/15 01:54:29 v1.34.3, 
01/10/15 01:54:29 v1.34.3, 
01/10/15 01:54:29 v1.34.3, Total factoring time = 3630.8870 seconds
--
Sat Jan 10 01:38:57 2015  
Sat Jan 10 01:38:57 2015  commencing relation filtering
Sat Jan 10 01:38:57 2015  estimated available RAM is 15987.3 MB
Sat Jan 10 01:38:57 2015  commencing duplicate removal, pass 1
Sat Jan 10 01:39:10 2015  found 488203 hash collisions in 4662348 relations
Sat Jan 10 01:39:14 2015  added 159205 free relations
Sat Jan 10 01:39:14 2015  commencing duplicate removal, pass 2
Sat Jan 10 01:39:17 2015  found 255136 duplicates and 4566417 unique relations
Sat Jan 10 01:39:17 2015  memory use: 20.6 MB
Sat Jan 10 01:39:17 2015  reading ideals above 100000
Sat Jan 10 01:39:17 2015  commencing singleton removal, initial pass
Sat Jan 10 01:39:36 2015  memory use: 172.2 MB
Sat Jan 10 01:39:36 2015  reading all ideals from disk
Sat Jan 10 01:39:36 2015  memory use: 147.9 MB
Sat Jan 10 01:39:36 2015  keeping 5571895 ideals with weight <= 200, target excess is 21785
Sat Jan 10 01:39:36 2015  commencing in-memory singleton removal
Sat Jan 10 01:39:36 2015  begin with 4566417 relations and 5571895 unique ideals
Sat Jan 10 01:39:38 2015  reduce to 788936 relations and 930851 ideals in 50 passes
Sat Jan 10 01:39:38 2015  max relations containing the same ideal: 60
Sat Jan 10 01:43:18 2015  
Sat Jan 10 01:43:18 2015  commencing relation filtering
Sat Jan 10 01:43:18 2015  estimated available RAM is 15987.3 MB
Sat Jan 10 01:43:18 2015  commencing duplicate removal, pass 1
Sat Jan 10 01:43:33 2015  found 587682 hash collisions in 5245878 relations
Sat Jan 10 01:43:37 2015  added 1111 free relations
Sat Jan 10 01:43:37 2015  commencing duplicate removal, pass 2
Sat Jan 10 01:43:40 2015  found 298206 duplicates and 4948783 unique relations
Sat Jan 10 01:43:40 2015  memory use: 20.6 MB
Sat Jan 10 01:43:40 2015  reading ideals above 100000
Sat Jan 10 01:43:40 2015  commencing singleton removal, initial pass
Sat Jan 10 01:44:02 2015  memory use: 172.2 MB
Sat Jan 10 01:44:02 2015  reading all ideals from disk
Sat Jan 10 01:44:02 2015  memory use: 160.4 MB
Sat Jan 10 01:44:03 2015  keeping 5746278 ideals with weight <= 200, target excess is 23484
Sat Jan 10 01:44:03 2015  commencing in-memory singleton removal
Sat Jan 10 01:44:03 2015  begin with 4948783 relations and 5746278 unique ideals
Sat Jan 10 01:44:05 2015  reduce to 1425955 relations and 1477466 ideals in 24 passes
Sat Jan 10 01:44:05 2015  max relations containing the same ideal: 82
Sat Jan 10 01:47:49 2015  
Sat Jan 10 01:47:49 2015  commencing relation filtering
Sat Jan 10 01:47:49 2015  estimated available RAM is 15987.3 MB
Sat Jan 10 01:47:49 2015  commencing duplicate removal, pass 1
Sat Jan 10 01:48:06 2015  found 676540 hash collisions in 5686448 relations
Sat Jan 10 01:48:10 2015  added 1038 free relations
Sat Jan 10 01:48:10 2015  commencing duplicate removal, pass 2
Sat Jan 10 01:48:14 2015  found 344952 duplicates and 5342534 unique relations
Sat Jan 10 01:48:14 2015  memory use: 20.6 MB
Sat Jan 10 01:48:14 2015  reading ideals above 100000
Sat Jan 10 01:48:14 2015  commencing singleton removal, initial pass
Sat Jan 10 01:48:35 2015  memory use: 172.2 MB
Sat Jan 10 01:48:36 2015  reading all ideals from disk
Sat Jan 10 01:48:36 2015  memory use: 173.3 MB
Sat Jan 10 01:48:36 2015  keeping 5909921 ideals with weight <= 200, target excess is 25449
Sat Jan 10 01:48:36 2015  commencing in-memory singleton removal
Sat Jan 10 01:48:36 2015  begin with 5342534 relations and 5909921 unique ideals
Sat Jan 10 01:48:38 2015  reduce to 1990689 relations and 1911199 ideals in 17 passes
Sat Jan 10 01:48:38 2015  max relations containing the same ideal: 107
Sat Jan 10 01:48:38 2015  removing 261155 relations and 236170 ideals in 24985 cliques
Sat Jan 10 01:48:38 2015  commencing in-memory singleton removal
Sat Jan 10 01:48:39 2015  begin with 1729534 relations and 1911199 unique ideals
Sat Jan 10 01:48:39 2015  reduce to 1698994 relations and 1643899 ideals in 10 passes
Sat Jan 10 01:48:39 2015  max relations containing the same ideal: 97
Sat Jan 10 01:48:39 2015  removing 191274 relations and 166289 ideals in 24985 cliques
Sat Jan 10 01:48:39 2015  commencing in-memory singleton removal
Sat Jan 10 01:48:39 2015  begin with 1507720 relations and 1643899 unique ideals
Sat Jan 10 01:48:40 2015  reduce to 1488179 relations and 1457705 ideals in 8 passes
Sat Jan 10 01:48:40 2015  max relations containing the same ideal: 87
Sat Jan 10 01:48:40 2015  relations with 0 large ideals: 473
Sat Jan 10 01:48:40 2015  relations with 1 large ideals: 215
Sat Jan 10 01:48:40 2015  relations with 2 large ideals: 2996
Sat Jan 10 01:48:40 2015  relations with 3 large ideals: 26825
Sat Jan 10 01:48:40 2015  relations with 4 large ideals: 121618
Sat Jan 10 01:48:40 2015  relations with 5 large ideals: 327998
Sat Jan 10 01:48:40 2015  relations with 6 large ideals: 450400
Sat Jan 10 01:48:40 2015  relations with 7+ large ideals: 557654
Sat Jan 10 01:48:40 2015  commencing 2-way merge
Sat Jan 10 01:48:41 2015  reduce to 843486 relation sets and 813015 unique ideals
Sat Jan 10 01:48:41 2015  ignored 3 oversize relation sets
Sat Jan 10 01:48:41 2015  commencing full merge
Sat Jan 10 01:48:48 2015  memory use: 91.2 MB
Sat Jan 10 01:48:48 2015  found 404148 cycles, need 401215
Sat Jan 10 01:48:48 2015  weight of 401215 cycles is about 28178775 (70.23/cycle)
Sat Jan 10 01:48:48 2015  distribution of cycle lengths:
Sat Jan 10 01:48:48 2015  1 relations: 45809
Sat Jan 10 01:48:48 2015  2 relations: 44515
Sat Jan 10 01:48:48 2015  3 relations: 42618
Sat Jan 10 01:48:48 2015  4 relations: 38234
Sat Jan 10 01:48:48 2015  5 relations: 34498
Sat Jan 10 01:48:48 2015  6 relations: 29746
Sat Jan 10 01:48:48 2015  7 relations: 25892
Sat Jan 10 01:48:48 2015  8 relations: 22876
Sat Jan 10 01:48:48 2015  9 relations: 19674
Sat Jan 10 01:48:48 2015  10+ relations: 97353
Sat Jan 10 01:48:48 2015  heaviest cycle: 27 relations
Sat Jan 10 01:48:48 2015  commencing cycle optimization
Sat Jan 10 01:48:49 2015  start with 2654356 relations
Sat Jan 10 01:48:51 2015  pruned 57840 relations
Sat Jan 10 01:48:51 2015  memory use: 86.7 MB
Sat Jan 10 01:48:51 2015  distribution of cycle lengths:
Sat Jan 10 01:48:51 2015  1 relations: 45809
Sat Jan 10 01:48:51 2015  2 relations: 45395
Sat Jan 10 01:48:51 2015  3 relations: 43906
Sat Jan 10 01:48:51 2015  4 relations: 39076
Sat Jan 10 01:48:51 2015  5 relations: 35212
Sat Jan 10 01:48:51 2015  6 relations: 30121
Sat Jan 10 01:48:51 2015  7 relations: 26160
Sat Jan 10 01:48:51 2015  8 relations: 22881
Sat Jan 10 01:48:51 2015  9 relations: 19590
Sat Jan 10 01:48:51 2015  10+ relations: 93065
Sat Jan 10 01:48:51 2015  heaviest cycle: 27 relations
Sat Jan 10 01:48:52 2015  RelProcTime: 63
Sat Jan 10 01:48:52 2015  
Sat Jan 10 01:48:52 2015  commencing linear algebra
Sat Jan 10 01:48:52 2015  read 401215 cycles
Sat Jan 10 01:48:52 2015  cycles contain 1444330 unique relations
Sat Jan 10 01:48:59 2015  read 1444330 relations
Sat Jan 10 01:49:00 2015  using 20 quadratic characters above 67108034
Sat Jan 10 01:49:04 2015  building initial matrix
Sat Jan 10 01:49:11 2015  memory use: 176.5 MB
Sat Jan 10 01:49:11 2015  read 401215 cycles
Sat Jan 10 01:49:11 2015  matrix is 401035 x 401215 (120.0 MB) with weight 38197128 (95.20/col)
Sat Jan 10 01:49:11 2015  sparse part has weight 27031006 (67.37/col)
Sat Jan 10 01:49:12 2015  filtering completed in 2 passes
Sat Jan 10 01:49:13 2015  matrix is 400479 x 400659 (119.9 MB) with weight 38174450 (95.28/col)
Sat Jan 10 01:49:13 2015  sparse part has weight 27025077 (67.45/col)
Sat Jan 10 01:49:13 2015  matrix starts at (0, 0)
Sat Jan 10 01:49:13 2015  matrix is 400479 x 400659 (119.9 MB) with weight 38174450 (95.28/col)
Sat Jan 10 01:49:13 2015  sparse part has weight 27025077 (67.45/col)
Sat Jan 10 01:49:13 2015  saving the first 48 matrix rows for later
Sat Jan 10 01:49:13 2015  matrix includes 64 packed rows
Sat Jan 10 01:49:13 2015  matrix is 400431 x 400659 (116.0 MB) with weight 30346180 (75.74/col)
Sat Jan 10 01:49:13 2015  sparse part has weight 26390183 (65.87/col)
Sat Jan 10 01:49:13 2015  using block size 65536 for processor cache size 8192 kB
Sat Jan 10 01:49:14 2015  commencing Lanczos iteration (8 threads)
Sat Jan 10 01:49:14 2015  memory use: 110.1 MB
Sat Jan 10 01:49:21 2015  linear algebra at 3.0%, ETA 0h 3m
Sat Jan 10 01:53:12 2015  lanczos halted after 6333 iterations (dim = 400430)
Sat Jan 10 01:53:12 2015  recovered 31 nontrivial dependencies
Sat Jan 10 01:53:12 2015  BLanczosTime: 260
Sat Jan 10 01:53:12 2015  
Sat Jan 10 01:53:12 2015  commencing square root phase
Sat Jan 10 01:53:12 2015  reading relations for dependency 1
Sat Jan 10 01:53:12 2015  read 200130 cycles
Sat Jan 10 01:53:12 2015  cycles contain 722280 unique relations
Sat Jan 10 01:53:17 2015  read 722280 relations
Sat Jan 10 01:53:19 2015  multiplying 722280 relations
Sat Jan 10 01:53:32 2015  multiply complete, coefficients have about 31.50 million bits
Sat Jan 10 01:53:32 2015  initial square root is modulo 1112463673
Sat Jan 10 01:53:51 2015  GCD is N, no factor found
Sat Jan 10 01:53:51 2015  reading relations for dependency 2
Sat Jan 10 01:53:51 2015  read 199776 cycles
Sat Jan 10 01:53:51 2015  cycles contain 722348 unique relations
Sat Jan 10 01:53:56 2015  read 722348 relations
Sat Jan 10 01:53:57 2015  multiplying 722348 relations
Sat Jan 10 01:54:10 2015  multiply complete, coefficients have about 31.50 million bits
Sat Jan 10 01:54:10 2015  initial square root is modulo 1114080293
Sat Jan 10 01:54:29 2015  sqrtTime: 77
--
n: 33202729855905777252120976884993730199474201039554608887649109941677069299167947560398841508715218658147239
skew: 5373230.26
c0: 972077129110783786440262690470
c1: -10424066397240151933535
c2: -279340593586702604
c3: 905317356
c4: 4464
Y0: -52223067146362255830390343
Y1: 62715736250167
rlim: 2780000
alim: 2780000
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 00:02:00 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 0 秒 (日本時間)
1CypJanuary 9, 2015 00:58:56 UTC 2015 年 1 月 9 日 (金) 9 時 58 分 56 秒 (日本時間)

664×10182-79

c161

name 名前KTakahashi
date 日付May 26, 2015 09:46:04 UTC 2015 年 5 月 26 日 (火) 18 時 46 分 4 秒 (日本時間)
composite number 合成数
35772353871056943878993487060383400076856891170516837085310272652235527199992369537169481852519290711440899628650823552599913733158838518511183544633548856608211<161>
prime factors 素因数
608402752495059428683648913481619783<36>
composite cofactor 合成数の残り
58797159816181856344024718827363999669614841147005090123306114764243337940782989544209710758502500728771031270462865585239317<125>
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 35772353871056943878993487060383400076856891170516837085310272652235527199992369537169481852519290711440899628650823552599913733158838518511183544633548856608211 (161 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1896416811
Step 1 took 52026ms
Step 2 took 20374ms
********** Factor found in step 2: 608402752495059428683648913481619783
Found probable prime factor of 36 digits: 608402752495059428683648913481619783
Composite cofactor 58797159816181856344024718827363999669614841147005090123306114764243337940782989544209710758502500728771031270462865585239317 has 125 digits

c125

name 名前Jo Yeong Uk
date 日付May 28, 2015 13:45:59 UTC 2015 年 5 月 28 日 (木) 22 時 45 分 59 秒 (日本時間)
composite number 合成数
58797159816181856344024718827363999669614841147005090123306114764243337940782989544209710758502500728771031270462865585239317<125>
prime factors 素因数
1678180940922043762318487057707898036976698406343766261298251<61>
35036245724419265850299892491672646086830890029189393739170881567<65>
factorization results 素因数分解の結果
Number: 73777_182
N=58797159816181856344024718827363999669614841147005090123306114764243337940782989544209710758502500728771031270462865585239317
  ( 125 digits)
Divisors found:
 r1=1678180940922043762318487057707898036976698406343766261298251
 r2=35036245724419265850299892491672646086830890029189393739170881567
Version: 
Total time: 32.17 hours.
Scaled time: 167.96 units (timescale=5.221).
Factorization parameters were as follows:
name: 73777_182
n: 58797159816181856344024718827363999669614841147005090123306114764243337940782989544209710758502500728771031270462865585239317
skew: 34665.89
# norm 1.85e+17
c5: 161280
c4: 232332274704
c3: 391069939397377
c2: -155862665686137116133
c1: -1740000896146101721944489
c0: 8243807538716640725893567901
# alpha -6.60
Y1: 52317942596953
Y0: -817235373965596781252832
# Murphy_E 1.53e-10
# M 58133980026599543331307419554354254469883262142789167481855165256105091842076829920901620185178300240816270477269229167207947
type: gnfs
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved algebraic special-q in [3400000, 6300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17647016
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1149007 x 1149253
Polynomial selection time: 5.20 hours.
Total sieving time: 23.88 hours.
Total relation processing time: 1.25 hours.
Matrix solve time: 1.51 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
gnfs,124,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6800000,6800000,28,28,54,54,2.5,2.5,100000
total time: 32.17 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.. 6799.77 BogoMIPS (lpj=3399888)
Total of 12 processors activated (81597.31 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 00:02:01 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 1 秒 (日本時間)
4511e6600 / 4409KTakahashiMay 26, 2015 13:26:14 UTC 2015 年 5 月 26 日 (火) 22 時 26 分 14 秒 (日本時間)

664×10183-79

c169

name 名前Jo Yeong Uk
date 日付May 17, 2016 13:05:49 UTC 2016 年 5 月 17 日 (火) 22 時 5 分 49 秒 (日本時間)
composite number 合成数
2290531497609519280126220443961818737962394227818721764231267741372165340684009923345073482804866487393990071278898359802969534338283122268457545134604434559452067297277<169>
prime factors 素因数
306962699353299295939947419965670460176579491046748106441501456447104205479057611801<84>
7461921277194750449252473767354515866685261725528509675508182085519609017374709708677<85>
factorization results 素因数分解の結果
Number: 73777_183
N=2290531497609519280126220443961818737962394227818721764231267741372165340684009923345073482804866487393990071278898359802969534338283122268457545134604434559452067297277
  ( 169 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=306962699353299295939947419965670460176579491046748106441501456447104205479057611801
 r2=7461921277194750449252473767354515866685261725528509675508182085519609017374709708677
Version: 
Total time: 76.41 hours.
Scaled time: 399.18 units (timescale=5.224).
Factorization parameters were as follows:
n: 2290531497609519280126220443961818737962394227818721764231267741372165340684009923345073482804866487393990071278898359802969534338283122268457545134604434559452067297277
m: 2000000000000000000000000000000000000
deg: 5
c5: 20750
c0: -7
skew: 0.20
# Murphy_E = 5.116e-11
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3800000, 7200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20223425
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1663042 x 1663290
Total sieving time: 70.89 hours.
Total relation processing time: 1.82 hours.
Matrix solve time: 3.54 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,54,54,2.5,2.5,100000
total time: 76.41 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49365464k/51380224k available (5398k kernel code, 1086460k absent, 928300k reserved, 7010k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.03 BogoMIPS (lpj=3400017)
Total of 12 processors activated (81600.40 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 00:02:01 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 1 秒 (日本時間)
4511e6585 / 4409CypMay 29, 2015 02:40:19 UTC 2015 年 5 月 29 日 (金) 11 時 40 分 19 秒 (日本時間)

664×10184-79

c145

name 名前Serge Batalov
date 日付January 9, 2015 03:47:49 UTC 2015 年 1 月 9 日 (金) 12 時 47 分 49 秒 (日本時間)
composite number 合成数
8370037636519779793754294399256152735633675568860272366242844142491230822500051728901703835977350200781409425620547663182047794885237329485528781<145>
prime factors 素因数
13405401700673125164441816122609059<35>
composite cofactor 合成数の残り
624377980116738707144774755958750913463187197704350298371563091192833468093824292983426502583048820269903767759<111>
factorization results 素因数分解の結果
Input number is 8370037636519779793754294399256152735633675568860272366242844142491230822500051728901703835977350200781409425620547663182047794885237329485528781 (145 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2035914289
Step 1 took 9123ms
Step 2 took 7509ms
********** Factor found in step 2: 13405401700673125164441816122609059
Found probable prime factor of 35 digits: 13405401700673125164441816122609059
Composite cofactor 624377980116738707144774755958750913463187197704350298371563091192833468093824292983426502583048820269903767759 has 111 digits

c111

name 名前Cyp
date 日付January 10, 2015 14:58:07 UTC 2015 年 1 月 10 日 (土) 23 時 58 分 7 秒 (日本時間)
composite number 合成数
624377980116738707144774755958750913463187197704350298371563091192833468093824292983426502583048820269903767759<111>
prime factors 素因数
446551813773081660260543570068372286557680829<45>
1398220678673630070930068791665986584260560100345490352789771074171<67>
factorization results 素因数分解の結果
01/10/15 14:10:28 v1.34.3, 
01/10/15 14:10:28 v1.34.3, ****************************
01/10/15 14:10:28 v1.34.3, Starting factorization of 624377980116738707144774755958750913463187197704350298371563091192833468093824292983426502583048820269903767759
01/10/15 14:10:28 v1.34.3, using pretesting plan: none
01/10/15 14:10:28 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/10/15 14:10:28 v1.34.3, ****************************
01/10/15 14:10:29 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C111
01/10/15 14:10:29 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C111
01/10/15 14:10:29 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C111
01/10/15 14:10:29 v1.34.3, final ECM pretested depth: 0.00
01/10/15 14:10:29 v1.34.3, scheduler: switching to sieve method
01/10/15 14:10:29 v1.34.3, nfs: commencing nfs on c111: 624377980116738707144774755958750913463187197704350298371563091192833468093824292983426502583048820269903767759
01/10/15 14:10:29 v1.34.3, nfs: commencing poly selection with 8 threads
01/10/15 14:10:29 v1.34.3, nfs: setting deadline of 550 seconds
01/10/15 14:19:41 v1.34.3, nfs: completed 153 ranges of size 250 in 552.8909 seconds
01/10/15 14:19:41 v1.34.3, nfs: best poly = # norm 1.595124e-10 alpha -6.657229 e 9.056e-10 rroots 3
01/10/15 14:19:41 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 14:25:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
[9 lines snipped]
01/10/15 15:20:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 15:26:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 15:31:43 v1.34.3, nfs: commencing msieve filtering
01/10/15 15:32:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 15:37:58 v1.34.3, nfs: commencing msieve filtering
01/10/15 15:38:47 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 15:44:39 v1.34.3, nfs: commencing msieve filtering
01/10/15 15:45:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 15:51:08 v1.34.3, nfs: commencing msieve filtering
01/10/15 15:52:17 v1.34.3, nfs: commencing msieve linear algebra
01/10/15 15:57:12 v1.34.3, nfs: commencing msieve sqrt
01/10/15 15:58:06 v1.34.3, prp67 = 1398220678673630070930068791665986584260560100345490352789771074171
01/10/15 15:58:06 v1.34.3, prp45 = 446551813773081660260543570068372286557680829
01/10/15 15:58:06 v1.34.3, NFS elapsed time = 6457.5442 seconds.
01/10/15 15:58:06 v1.34.3, 
01/10/15 15:58:06 v1.34.3, 
01/10/15 15:58:06 v1.34.3, Total factoring time = 6457.5666 seconds
--
Sat Jan 10 15:31:43 2015  
Sat Jan 10 15:31:43 2015  commencing relation filtering
Sat Jan 10 15:31:43 2015  estimated available RAM is 15987.3 MB
Sat Jan 10 15:31:43 2015  commencing duplicate removal, pass 1
Sat Jan 10 15:31:57 2015  found 397028 hash collisions in 4507054 relations
Sat Jan 10 15:32:02 2015  added 32767 free relations
Sat Jan 10 15:32:02 2015  commencing duplicate removal, pass 2
Sat Jan 10 15:32:06 2015  found 156361 duplicates and 4383460 unique relations
Sat Jan 10 15:32:06 2015  memory use: 19.6 MB
Sat Jan 10 15:32:06 2015  reading ideals above 100000
Sat Jan 10 15:32:06 2015  commencing singleton removal, initial pass
Sat Jan 10 15:32:27 2015  memory use: 172.2 MB
Sat Jan 10 15:32:27 2015  reading all ideals from disk
Sat Jan 10 15:32:28 2015  memory use: 147.0 MB
Sat Jan 10 15:32:28 2015  keeping 5372082 ideals with weight <= 200, target excess is 23965
Sat Jan 10 15:32:28 2015  commencing in-memory singleton removal
Sat Jan 10 15:32:28 2015  begin with 4383460 relations and 5372082 unique ideals
Sat Jan 10 15:32:29 2015  reduce to 85 relations and 0 ideals in 32 passes
Sat Jan 10 15:32:29 2015  max relations containing the same ideal: 0
Sat Jan 10 15:37:58 2015  
Sat Jan 10 15:37:58 2015  commencing relation filtering
Sat Jan 10 15:37:58 2015  estimated available RAM is 15987.3 MB
Sat Jan 10 15:37:58 2015  commencing duplicate removal, pass 1
Sat Jan 10 15:38:14 2015  found 455195 hash collisions in 4871747 relations
Sat Jan 10 15:38:19 2015  added 91 free relations
Sat Jan 10 15:38:19 2015  commencing duplicate removal, pass 2
Sat Jan 10 15:38:23 2015  found 178267 duplicates and 4693571 unique relations
Sat Jan 10 15:38:23 2015  memory use: 20.6 MB
Sat Jan 10 15:38:23 2015  reading ideals above 100000
Sat Jan 10 15:38:23 2015  commencing singleton removal, initial pass
Sat Jan 10 15:38:44 2015  memory use: 172.2 MB
Sat Jan 10 15:38:44 2015  reading all ideals from disk
Sat Jan 10 15:38:45 2015  memory use: 157.5 MB
Sat Jan 10 15:38:45 2015  keeping 5524520 ideals with weight <= 200, target excess is 25095
Sat Jan 10 15:38:45 2015  commencing in-memory singleton removal
Sat Jan 10 15:38:45 2015  begin with 4693571 relations and 5524520 unique ideals
Sat Jan 10 15:38:47 2015  reduce to 1133209 relations and 1243979 ideals in 32 passes
Sat Jan 10 15:38:47 2015  max relations containing the same ideal: 82
Sat Jan 10 15:44:39 2015  
Sat Jan 10 15:44:39 2015  commencing relation filtering
Sat Jan 10 15:44:39 2015  estimated available RAM is 15987.3 MB
Sat Jan 10 15:44:39 2015  commencing duplicate removal, pass 1
Sat Jan 10 15:44:57 2015  found 515654 hash collisions in 5219407 relations
Sat Jan 10 15:45:02 2015  added 61 free relations
Sat Jan 10 15:45:02 2015  commencing duplicate removal, pass 2
Sat Jan 10 15:45:06 2015  found 202756 duplicates and 5016712 unique relations
Sat Jan 10 15:45:06 2015  memory use: 20.6 MB
Sat Jan 10 15:45:06 2015  reading ideals above 100000
Sat Jan 10 15:45:06 2015  commencing singleton removal, initial pass
Sat Jan 10 15:45:30 2015  memory use: 172.2 MB
Sat Jan 10 15:45:30 2015  reading all ideals from disk
Sat Jan 10 15:45:30 2015  memory use: 168.4 MB
Sat Jan 10 15:45:30 2015  keeping 5671156 ideals with weight <= 200, target excess is 26374
Sat Jan 10 15:45:30 2015  commencing in-memory singleton removal
Sat Jan 10 15:45:31 2015  begin with 5016712 relations and 5671156 unique ideals
Sat Jan 10 15:45:32 2015  reduce to 1624065 relations and 1643909 ideals in 23 passes
Sat Jan 10 15:45:32 2015  max relations containing the same ideal: 102
Sat Jan 10 15:51:08 2015  
Sat Jan 10 15:51:08 2015  commencing relation filtering
Sat Jan 10 15:51:08 2015  estimated available RAM is 15987.3 MB
Sat Jan 10 15:51:08 2015  commencing duplicate removal, pass 1
Sat Jan 10 15:51:27 2015  found 578478 hash collisions in 5565198 relations
Sat Jan 10 15:51:32 2015  added 42 free relations
Sat Jan 10 15:51:32 2015  commencing duplicate removal, pass 2
Sat Jan 10 15:51:36 2015  found 228685 duplicates and 5336555 unique relations
Sat Jan 10 15:51:36 2015  memory use: 20.6 MB
Sat Jan 10 15:51:36 2015  reading ideals above 100000
Sat Jan 10 15:51:36 2015  commencing singleton removal, initial pass
Sat Jan 10 15:52:00 2015  memory use: 172.2 MB
Sat Jan 10 15:52:01 2015  reading all ideals from disk
Sat Jan 10 15:52:01 2015  memory use: 179.2 MB
Sat Jan 10 15:52:01 2015  keeping 5805014 ideals with weight <= 200, target excess is 27929
Sat Jan 10 15:52:01 2015  commencing in-memory singleton removal
Sat Jan 10 15:52:01 2015  begin with 5336555 relations and 5805014 unique ideals
Sat Jan 10 15:52:03 2015  reduce to 2077753 relations and 1983703 ideals in 18 passes
Sat Jan 10 15:52:03 2015  max relations containing the same ideal: 109
Sat Jan 10 15:52:04 2015  removing 292112 relations and 261286 ideals in 30826 cliques
Sat Jan 10 15:52:04 2015  commencing in-memory singleton removal
Sat Jan 10 15:52:04 2015  begin with 1785641 relations and 1983703 unique ideals
Sat Jan 10 15:52:04 2015  reduce to 1750568 relations and 1686660 ideals in 10 passes
Sat Jan 10 15:52:04 2015  max relations containing the same ideal: 99
Sat Jan 10 15:52:05 2015  removing 216802 relations and 185976 ideals in 30826 cliques
Sat Jan 10 15:52:05 2015  commencing in-memory singleton removal
Sat Jan 10 15:52:05 2015  begin with 1533766 relations and 1686660 unique ideals
Sat Jan 10 15:52:05 2015  reduce to 1510424 relations and 1476879 ideals in 9 passes
Sat Jan 10 15:52:05 2015  max relations containing the same ideal: 87
Sat Jan 10 15:52:05 2015  relations with 0 large ideals: 92
Sat Jan 10 15:52:06 2015  relations with 1 large ideals: 174
Sat Jan 10 15:52:06 2015  relations with 2 large ideals: 2976
Sat Jan 10 15:52:06 2015  relations with 3 large ideals: 25406
Sat Jan 10 15:52:06 2015  relations with 4 large ideals: 117037
Sat Jan 10 15:52:06 2015  relations with 5 large ideals: 300509
Sat Jan 10 15:52:06 2015  relations with 6 large ideals: 444891
Sat Jan 10 15:52:06 2015  relations with 7+ large ideals: 619339
Sat Jan 10 15:52:06 2015  commencing 2-way merge
Sat Jan 10 15:52:06 2015  reduce to 856742 relation sets and 823197 unique ideals
Sat Jan 10 15:52:06 2015  commencing full merge
Sat Jan 10 15:52:14 2015  memory use: 91.2 MB
Sat Jan 10 15:52:14 2015  found 419743 cycles, need 415397
Sat Jan 10 15:52:14 2015  weight of 415397 cycles is about 29338800 (70.63/cycle)
Sat Jan 10 15:52:14 2015  distribution of cycle lengths:
Sat Jan 10 15:52:14 2015  1 relations: 47982
Sat Jan 10 15:52:14 2015  2 relations: 47414
Sat Jan 10 15:52:14 2015  3 relations: 46866
Sat Jan 10 15:52:14 2015  4 relations: 41464
Sat Jan 10 15:52:14 2015  5 relations: 37815
Sat Jan 10 15:52:14 2015  6 relations: 31582
Sat Jan 10 15:52:14 2015  7 relations: 28576
Sat Jan 10 15:52:14 2015  8 relations: 24305
Sat Jan 10 15:52:14 2015  9 relations: 20703
Sat Jan 10 15:52:14 2015  10+ relations: 88690
Sat Jan 10 15:52:14 2015  heaviest cycle: 23 relations
Sat Jan 10 15:52:14 2015  commencing cycle optimization
Sat Jan 10 15:52:15 2015  start with 2575972 relations
Sat Jan 10 15:52:17 2015  pruned 51620 relations
Sat Jan 10 15:52:17 2015  memory use: 86.8 MB
Sat Jan 10 15:52:17 2015  distribution of cycle lengths:
Sat Jan 10 15:52:17 2015  1 relations: 47982
Sat Jan 10 15:52:17 2015  2 relations: 48355
Sat Jan 10 15:52:17 2015  3 relations: 48297
Sat Jan 10 15:52:17 2015  4 relations: 42306
Sat Jan 10 15:52:17 2015  5 relations: 38394
Sat Jan 10 15:52:17 2015  6 relations: 31970
Sat Jan 10 15:52:17 2015  7 relations: 28751
Sat Jan 10 15:52:17 2015  8 relations: 24139
Sat Jan 10 15:52:17 2015  9 relations: 20580
Sat Jan 10 15:52:17 2015  10+ relations: 84623
Sat Jan 10 15:52:17 2015  heaviest cycle: 23 relations
Sat Jan 10 15:52:17 2015  RelProcTime: 69
Sat Jan 10 15:52:17 2015  
Sat Jan 10 15:52:17 2015  commencing linear algebra
Sat Jan 10 15:52:17 2015  read 415397 cycles
Sat Jan 10 15:52:18 2015  cycles contain 1464048 unique relations
Sat Jan 10 15:52:25 2015  read 1464048 relations
Sat Jan 10 15:52:26 2015  using 20 quadratic characters above 67108512
Sat Jan 10 15:52:30 2015  building initial matrix
Sat Jan 10 15:52:38 2015  memory use: 181.6 MB
Sat Jan 10 15:52:38 2015  read 415397 cycles
Sat Jan 10 15:52:38 2015  matrix is 415223 x 415397 (125.0 MB) with weight 39331799 (94.68/col)
Sat Jan 10 15:52:38 2015  sparse part has weight 28190700 (67.86/col)
Sat Jan 10 15:52:40 2015  filtering completed in 2 passes
Sat Jan 10 15:52:40 2015  matrix is 414418 x 414592 (124.9 MB) with weight 39298159 (94.79/col)
Sat Jan 10 15:52:40 2015  sparse part has weight 28179967 (67.97/col)
Sat Jan 10 15:52:40 2015  matrix starts at (0, 0)
Sat Jan 10 15:52:40 2015  matrix is 414418 x 414592 (124.9 MB) with weight 39298159 (94.79/col)
Sat Jan 10 15:52:40 2015  sparse part has weight 28179967 (67.97/col)
Sat Jan 10 15:52:40 2015  saving the first 48 matrix rows for later
Sat Jan 10 15:52:41 2015  matrix includes 64 packed rows
Sat Jan 10 15:52:41 2015  matrix is 414370 x 414592 (120.4 MB) with weight 31161905 (75.16/col)
Sat Jan 10 15:52:41 2015  sparse part has weight 27428014 (66.16/col)
Sat Jan 10 15:52:41 2015  using block size 65536 for processor cache size 8192 kB
Sat Jan 10 15:52:42 2015  commencing Lanczos iteration (8 threads)
Sat Jan 10 15:52:42 2015  memory use: 114.1 MB
Sat Jan 10 15:52:49 2015  linear algebra at 2.9%, ETA 0h 3m
Sat Jan 10 15:57:12 2015  lanczos halted after 6553 iterations (dim = 414366)
Sat Jan 10 15:57:12 2015  recovered 28 nontrivial dependencies
Sat Jan 10 15:57:12 2015  BLanczosTime: 295
Sat Jan 10 15:57:12 2015  
Sat Jan 10 15:57:12 2015  commencing square root phase
Sat Jan 10 15:57:12 2015  reading relations for dependency 1
Sat Jan 10 15:57:12 2015  read 207436 cycles
Sat Jan 10 15:57:12 2015  cycles contain 732506 unique relations
Sat Jan 10 15:57:18 2015  read 732506 relations
Sat Jan 10 15:57:20 2015  multiplying 732506 relations
Sat Jan 10 15:57:40 2015  multiply complete, coefficients have about 31.50 million bits
Sat Jan 10 15:57:40 2015  initial square root is modulo 1114327999
Sat Jan 10 15:58:06 2015  sqrtTime: 54
--
n: 624377980116738707144774755958750913463187197704350298371563091192833468093824292983426502583048820269903767759
skew: 46187.69
c0: 1040661887914043205953258655
c1: 26280033043428256990761
c2: -1753652237755378401
c3: -70210112367121
c4: 862647274
c5: 17808
Y0: -2036884875536306795134
Y1: 1385374379
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)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:02:02 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 2 秒 (日本時間)

664×10185-79

c170

name 名前Jo Yeong Uk
date 日付September 12, 2016 12:59:15 UTC 2016 年 9 月 12 日 (月) 21 時 59 分 15 秒 (日本時間)
composite number 合成数
18000722295919406729947978213740037372990375388667040683291450069796132741445943077711856724966422370385880028038192254472768060504602676385044933819419181858283174751999<170>
prime factors 素因数
9117040942986049143359471122611374722009511423<46>
1974404020831756766784664185487515901054507388676299844540867500038908603167860956232546557902972114124368731614273903904513<124>
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 18000722295919406729947978213740037372990375388667040683291450069796132741445943077711856724966422370385880028038192254472768060504602676385044933819419181858283174751999 (170 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=6281764057
Step 1 took 29763ms
Step 2 took 10133ms
********** Factor found in step 2: 9117040942986049143359471122611374722009511423
Found probable prime factor of 46 digits: 9117040942986049143359471122611374722009511423
Probable prime cofactor 1974404020831756766784664185487515901054507388676299844540867500038908603167860956232546557902972114124368731614273903904513 has 124 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)
403e6301300Serge BatalovJanuary 9, 2015 00:02:03 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 3 秒 (日本時間)
1CypJanuary 9, 2015 00:27:40 UTC 2015 年 1 月 9 日 (金) 9 時 27 分 40 秒 (日本時間)
4511e6600 / 4409KTakahashiJune 27, 2015 10:06:59 UTC 2015 年 6 月 27 日 (土) 19 時 6 分 59 秒 (日本時間)

664×10187-79

c172

name 名前Serge Batalov
date 日付January 9, 2015 03:47:52 UTC 2015 年 1 月 9 日 (金) 12 時 47 分 52 秒 (日本時間)
composite number 合成数
4310650771008270719038325858145178250200569727013016861791728672625079657192950480983063402792385699415855807397673647753719513084581467021652599429660258123481045974626377<172>
prime factors 素因数
245009339456486513183233584895825237079<39>
17593822262329878539616847922418455860036999158448757604557829839571754682461402456793436170058907316936639404835671157505101879917663<134>
factorization results 素因数分解の結果
Input number is 4310650771008270719038325858145178250200569727013016861791728672625079657192950480983063402792385699415855807397673647753719513084581467021652599429660258123481045974626377 (172 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=147584303
Step 1 took 12940ms
Step 2 took 10277ms
********** Factor found in step 2: 245009339456486513183233584895825237079
Found probable prime factor of 39 digits: 245009339456486513183233584895825237079
Probable prime cofactor 17593822262329878539616847922418455860036999158448757604557829839571754682461402456793436170058907316936639404835671157505101879917663 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 00:02:03 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 3 秒 (日本時間)

664×10189-79

c139

name 名前Cyp
date 日付February 3, 2015 08:11:01 UTC 2015 年 2 月 3 日 (火) 17 時 11 分 1 秒 (日本時間)
composite number 合成数
6661679904904440854285164199991638009123912880685214202314668503673680858059256466443392853043449787715033296294025909331445271539460156063<139>
prime factors 素因数
2598429356929844648630477855707553471569667<43>
composite cofactor 合成数の残り
2563733313410336621941581459779308676260249440959410998662695634476716306630298466911157897467189<97>
factorization results 素因数分解の結果
Run 104 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1499463120
Step 1 took 42054ms
Step 2 took 14847ms
********** Factor found in step 2: 2598429356929844648630477855707553471569667
Found probable prime factor of 43 digits: 2598429356929844648630477855707553471569667
Composite cofactor 2563733313410336621941581459779308676260249440959410998662695634476716306630298466911157897467189 has 97 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c97

name 名前KTakahashi
date 日付February 4, 2015 10:00:40 UTC 2015 年 2 月 4 日 (水) 19 時 0 分 40 秒 (日本時間)
composite number 合成数
2563733313410336621941581459779308676260249440959410998662695634476716306630298466911157897467189<97>
prime factors 素因数
98598421358046597641388404126804300852811680861<47>
26001768366052149311976571686814274170754712805049<50>
factorization results 素因数分解の結果
// 本来は以下のログファイルに記載されている多項式よりももっと# Murphy_Eの値が
// 良いものがあったのですが、運の悪いことに篩いの途中でggnfsのバグ(?)が
// 発生しプログラムが停止しました。やむなくbest.polyファイルにあった# Murphy_Eの
// あまり良くない多項式でGNFS法による素因数分解を行った為、桁数の割に時間が
// 掛かっていますがご容赦下さい。
//
// There was a polynomial whose value of # Murphy_E is better than the one 
// described in the log file below actually, but unfortunately it has resulted 
// in the program stop while sieving probably because of a bug of ggnfs.
// Reluctantly I factored this number by GNFS with the polynomial in the file
// best.poly whose value of # Murphy_E is not so good, so it has cost so much
// time for the number of digits. Please understand.

Number: 73777_189
N=2563733313410336621941581459779308676260249440959410998662695634476716306630298466911157897467189
  ( 97 digits)
Divisors found:
 r1=98598421358046597641388404126804300852811680861 (pp47)
 r2=26001768366052149311976571686814274170754712805049 (pp50)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 12.94 hours.
Scaled time: 26.67 units (timescale=2.061).
Factorization parameters were as follows:
name: 73777_189
n:  2563733313410336621941581459779308676260249440959410998662695634476716306630298466911157897467189
m:  11451254918084421139523
deg: 4
c4: 149094120
c3: 832990839
c2: 1402450302596655041
c1: 145587735080110466881
c0: -4081370949488431550796
skew: 1635.250
type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 2940001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 243735 x 243971
Total sieving time: 12.74 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,96,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 12.94 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 00:02:04 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 4 秒 (日本時間)
4511e6585 / 4409CypFebruary 3, 2015 08:11:00 UTC 2015 年 2 月 3 日 (火) 17 時 11 分 0 秒 (日本時間)

664×10192-79

c178

name 名前Bob Backstrom
date 日付March 2, 2021 14:30:35 UTC 2021 年 3 月 2 日 (火) 23 時 30 分 35 秒 (日本時間)
composite number 合成数
4316535844885995726066429732186507643477703484256815548960656736221525498743335900855886978640923641452639866010860727544594685654054665540888732170158359566643163909638519334733<178>
prime factors 素因数
9072650461407644842728916812396295045763<40>
475774511896744469982932606200264723757770048537688713041617212976305663195148735386390781107830826884470722516680026317193240893598238191<138>
factorization results 素因数分解の結果
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 4316535844885995726066429732186507643477703484256815548960656736221525498743335900855886978640923641452639866010860727544594685654054665540888732170158359566643163909638519334733 (178 digits)
Using B1=30020000, B2=144289285156, polynomial Dickson(12), sigma=1:4098772732
Step 1 took 406469ms
Step 2 took 110531ms
********** Factor found in step 2: 9072650461407644842728916812396295045763
Found probable prime factor of 40 digits: 9072650461407644842728916812396295045763
Probable prime cofactor 475774511896744469982932606200264723757770048537688713041617212976305663195148735386390781107830826884470722516680026317193240893598238191 has 138 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 00:02:04 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 4 秒 (日本時間)
4511e6585 / 4409CypJuly 22, 2015 19:44:04 UTC 2015 年 7 月 23 日 (木) 4 時 44 分 4 秒 (日本時間)

664×10193-79

c163

name 名前Serge Batalov
date 日付January 9, 2015 03:47:56 UTC 2015 年 1 月 9 日 (金) 12 時 47 分 56 秒 (日本時間)
composite number 合成数
8345046129474694321381812322876794345352290827407999564796336358484116318948983401015426267833232684054207165341305246649999337407612587547767548354243815783191143<163>
prime factors 素因数
840396841947413368860739417118316407<36>
composite cofactor 合成数の残り
9929887539959215666234009097967016034667778234032712865026045562292844572176577075963994963311537417021286210337876435801749649<127>
factorization results 素因数分解の結果
Input number is 8345046129474694321381812322876794345352290827407999564796336358484116318948983401015426267833232684054207165341305246649999337407612587547767548354243815783191143 (163 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1133526721
Step 1 took 12189ms
Step 2 took 10314ms
********** Factor found in step 2: 840396841947413368860739417118316407
Found probable prime factor of 36 digits: 840396841947413368860739417118316407
Composite cofactor 9929887539959215666234009097967016034667778234032712865026045562292844572176577075963994963311537417021286210337876435801749649 has 127 digits

c127

name 名前Pierre Jammes
date 日付January 28, 2015 12:47:21 UTC 2015 年 1 月 28 日 (水) 21 時 47 分 21 秒 (日本時間)
composite number 合成数
9929887539959215666234009097967016034667778234032712865026045562292844572176577075963994963311537417021286210337876435801749649<127>
prime factors 素因数
74395912327451221413424696574950093<35>
133473563658351741422354456324285912638196189058724244526480297867871194456888838629448187093<93>
factorization results 素因数分解の結果
Using B1=11000000, B2=144269945836, polynomial Dickson(12), sigma=2072872945
Step 1 took 63460ms
Step 2 took 56132ms
********** Factor found in step 2: 74395912327451221413424696574950093
Found probable prime factor of 35 digits: 74395912327451221413424696574950093
Probable prime cofactor 133473563658351741422354456324285912638196189058724244526480297867871194456888838629448187093 has 93 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Debian 8

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 00:02:05 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 5 秒 (日本時間)

664×10195-79

c152

name 名前Cyp
date 日付February 5, 2015 02:36:46 UTC 2015 年 2 月 5 日 (木) 11 時 36 分 46 秒 (日本時間)
composite number 合成数
35555486409153387990466437993553345770007770844917632881127313029939459371811477978694637485546358462080444235138314118805481108062124538952005341518351<152>
prime factors 素因数
18478208611314019070868735544220565523<38>
1924184706269801799285670160868991159091278004499020227252545318170474231663428059738106759360360134073554772678037<115>
factorization results 素因数分解の結果
Run 45 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=751084148
Step 1 took 42164ms
Step 2 took 15421ms
********** Factor found in step 2: 18478208611314019070868735544220565523
Found probable prime factor of 38 digits: 18478208611314019070868735544220565523
Probable prime cofactor 1924184706269801799285670160868991159091278004499020227252545318170474231663428059738106759360360134073554772678037 has 115 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 / 2163Serge BatalovJanuary 9, 2015 00:02:05 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 5 秒 (日本時間)
4511e645 / 4409CypFebruary 5, 2015 02:36:46 UTC 2015 年 2 月 5 日 (木) 11 時 36 分 46 秒 (日本時間)

664×10196-79

c133

name 名前Ignacio Santos
date 日付February 5, 2015 19:37:31 UTC 2015 年 2 月 6 日 (金) 4 時 37 分 31 秒 (日本時間)
composite number 合成数
1266439490586407397154578855181009391633398505272803540492625836151965567224569513053999318783286558436951815249991806595122397045449<133>
prime factors 素因数
1228165452083970623370644476015577581<37>
1031163585034486011679576622412627938238685062340779590887156643947336993115284563016018893287629<97>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3714945426
Step 1 took 7516ms
Step 2 took 5828ms
********** Factor found in step 2: 1228165452083970623370644476015577581
Found probable prime factor of 37 digits: 1228165452083970623370644476015577581
Probable prime cofactor 1031163585034486011679576622412627938238685062340779590887156643947336993115284563016018893287629 has 97 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 00:02:06 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 6 秒 (日本時間)

664×10197-79

c186

name 名前Bob Backstrom
date 日付March 31, 2021 03:33:50 UTC 2021 年 3 月 31 日 (水) 12 時 33 分 50 秒 (日本時間)
composite number 合成数
293809121210325623548952260091119876087337904028839884512678493616759398375412334962085456458921494428612030204908916682513980676040006938786536582750314207724640192514250214638444498357<186>
prime factors 素因数
20841705692270815792967082971992061038284603577<47>
5174820754680105083075721989700142105291259501855803943753086838759<67>
2724185669445072975331725060557006410178352181603744876519710412919315099<73>
factorization results 素因数分解の結果
Number: n
N=293809121210325623548952260091119876087337904028839884512678493616759398375412334962085456458921494428612030204908916682513980676040006938786536582750314207724640192514250214638444498357  ( 186 digits)
SNFS difficulty: 199 digits.
Divisors found:

Wed Mar 31 14:14:24 2021  found factor: 20841705692270815792967082971992061038284603577
Wed Mar 31 14:19:00 2021  found factor: 20841705692270815792967082971992061038284603577
Wed Mar 31 14:21:18 2021  p47 factor: 20841705692270815792967082971992061038284603577
Wed Mar 31 14:21:18 2021  p67 factor: 5174820754680105083075721989700142105291259501855803943753086838759
Wed Mar 31 14:21:18 2021  p73 factor: 2724185669445072975331725060557006410178352181603744876519710412919315099
Wed Mar 31 14:21:18 2021  elapsed time 01:16:22 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 664x10^197-7 = 737(197)
#
n: 293809121210325623548952260091119876087337904028839884512678493616759398375412334962085456458921494428612030204908916682513980676040006938786536582750314207724640192514250214638444498357
m: 2000000000000000000000000000000000000000
deg: 5
c5: 2075
c0: -7
skew: 0.32
# Murphy_E = 1.558e-11
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4171798 hash collisions in 32969985 relations (29942228 unique)
Msieve: matrix is 1698821 x 1699049 (592.9 MB)

Sieving start time : 2021/03/31 05:31:58
Sieving end time  : 2021/03/31 13:04:18

Total sieving time: 7hrs 32min 20secs.

Total relation processing time: 0hrs 55min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 31sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,15000000,15000000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119391] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.47 BogoMIPS (lpj=12798944)
[    0.152034] smpboot: Total of 16 processors activated (102391.55 BogoMIPS)

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 00:02:06 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 6 秒 (日本時間)
1CypJanuary 9, 2015 00:50:26 UTC 2015 年 1 月 9 日 (金) 9 時 50 分 26 秒 (日本時間)
4511e61085 / 4409585CypJuly 22, 2015 19:21:27 UTC 2015 年 7 月 23 日 (木) 4 時 21 分 27 秒 (日本時間)
500Dmitry DomanovJanuary 13, 2019 23:32:03 UTC 2019 年 1 月 14 日 (月) 8 時 32 分 3 秒 (日本時間)

664×10199-79

c111

name 名前Cyp
date 日付January 10, 2015 11:16:50 UTC 2015 年 1 月 10 日 (土) 20 時 16 分 50 秒 (日本時間)
composite number 合成数
245497526643912253984926110537568991554490674583578903067805179193655377138965807783151810708848302897896115251<111>
prime factors 素因数
1912763799465291773817936775176272236780156636637<49>
128347016350131918762403081540019938390151522528075869518399823<63>
factorization results 素因数分解の結果
01/10/15 10:30:50 v1.34.3, 
01/10/15 10:30:50 v1.34.3, ****************************
01/10/15 10:30:50 v1.34.3, Starting factorization of 245497526643912253984926110537568991554490674583578903067805179193655377138965807783151810708848302897896115251
01/10/15 10:30:50 v1.34.3, using pretesting plan: none
01/10/15 10:30:50 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/10/15 10:30:50 v1.34.3, ****************************
01/10/15 10:30:50 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C111
01/10/15 10:30:50 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C111
01/10/15 10:30:50 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C111
01/10/15 10:30:50 v1.34.3, final ECM pretested depth: 0.00
01/10/15 10:30:50 v1.34.3, scheduler: switching to sieve method
01/10/15 10:30:50 v1.34.3, nfs: commencing nfs on c111: 245497526643912253984926110537568991554490674583578903067805179193655377138965807783151810708848302897896115251
01/10/15 10:30:50 v1.34.3, nfs: commencing poly selection with 8 threads
01/10/15 10:30:50 v1.34.3, nfs: setting deadline of 500 seconds
01/10/15 10:39:08 v1.34.3, nfs: completed 151 ranges of size 250 in 498.4515 seconds
01/10/15 10:39:08 v1.34.3, nfs: best poly = # norm 1.521875e-10 alpha -5.381086 e 8.798e-10 rroots 3
01/10/15 10:39:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 10:44:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
[10 lines snipped]
01/10/15 11:40:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 11:45:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 11:51:09 v1.34.3, nfs: commencing msieve filtering
01/10/15 11:51:53 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 11:56:59 v1.34.3, nfs: commencing msieve filtering
01/10/15 11:57:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 12:03:19 v1.34.3, nfs: commencing msieve filtering
01/10/15 12:04:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 12:09:28 v1.34.3, nfs: commencing msieve filtering
01/10/15 12:10:33 v1.34.3, nfs: commencing msieve linear algebra
01/10/15 12:15:02 v1.34.3, nfs: commencing msieve sqrt
01/10/15 12:16:49 v1.34.3, prp63 = 128347016350131918762403081540019938390151522528075869518399823
01/10/15 12:16:49 v1.34.3, prp49 = 1912763799465291773817936775176272236780156636637
01/10/15 12:16:49 v1.34.3, NFS elapsed time = 6359.1910 seconds.
01/10/15 12:16:49 v1.34.3, 
01/10/15 12:16:49 v1.34.3, 
01/10/15 12:16:49 v1.34.3, Total factoring time = 6359.2132 seconds
--
Sat Jan 10 11:51:09 2015  
Sat Jan 10 11:51:09 2015  commencing relation filtering
Sat Jan 10 11:51:09 2015  estimated available RAM is 15987.3 MB
Sat Jan 10 11:51:09 2015  commencing duplicate removal, pass 1
Sat Jan 10 11:51:23 2015  found 421932 hash collisions in 4632612 relations
Sat Jan 10 11:51:28 2015  added 32670 free relations
Sat Jan 10 11:51:28 2015  commencing duplicate removal, pass 2
Sat Jan 10 11:51:31 2015  found 171972 duplicates and 4493310 unique relations
Sat Jan 10 11:51:31 2015  memory use: 19.6 MB
Sat Jan 10 11:51:31 2015  reading ideals above 100000
Sat Jan 10 11:51:31 2015  commencing singleton removal, initial pass
Sat Jan 10 11:51:50 2015  memory use: 172.2 MB
Sat Jan 10 11:51:50 2015  reading all ideals from disk
Sat Jan 10 11:51:50 2015  memory use: 151.2 MB
Sat Jan 10 11:51:50 2015  keeping 5426755 ideals with weight <= 200, target excess is 24460
Sat Jan 10 11:51:51 2015  commencing in-memory singleton removal
Sat Jan 10 11:51:51 2015  begin with 4493310 relations and 5426755 unique ideals
Sat Jan 10 11:51:53 2015  reduce to 755620 relations and 911048 ideals in 59 passes
Sat Jan 10 11:51:53 2015  max relations containing the same ideal: 54
Sat Jan 10 11:56:59 2015  
Sat Jan 10 11:56:59 2015  commencing relation filtering
Sat Jan 10 11:56:59 2015  estimated available RAM is 15987.3 MB
Sat Jan 10 11:56:59 2015  commencing duplicate removal, pass 1
Sat Jan 10 11:57:14 2015  found 479238 hash collisions in 4981018 relations
Sat Jan 10 11:57:18 2015  added 65 free relations
Sat Jan 10 11:57:18 2015  commencing duplicate removal, pass 2
Sat Jan 10 11:57:22 2015  found 194337 duplicates and 4786746 unique relations
Sat Jan 10 11:57:22 2015  memory use: 20.6 MB
Sat Jan 10 11:57:22 2015  reading ideals above 100000
Sat Jan 10 11:57:22 2015  commencing singleton removal, initial pass
Sat Jan 10 11:57:42 2015  memory use: 172.2 MB
Sat Jan 10 11:57:43 2015  reading all ideals from disk
Sat Jan 10 11:57:43 2015  memory use: 161.1 MB
Sat Jan 10 11:57:43 2015  keeping 5567558 ideals with weight <= 200, target excess is 25498
Sat Jan 10 11:57:43 2015  commencing in-memory singleton removal
Sat Jan 10 11:57:43 2015  begin with 4786746 relations and 5567558 unique ideals
Sat Jan 10 11:57:45 2015  reduce to 1295341 relations and 1385493 ideals in 25 passes
Sat Jan 10 11:57:45 2015  max relations containing the same ideal: 80
Sat Jan 10 12:03:19 2015  
Sat Jan 10 12:03:19 2015  commencing relation filtering
Sat Jan 10 12:03:19 2015  estimated available RAM is 15987.3 MB
Sat Jan 10 12:03:19 2015  commencing duplicate removal, pass 1
Sat Jan 10 12:03:35 2015  found 539651 hash collisions in 5320342 relations
Sat Jan 10 12:03:40 2015  added 63 free relations
Sat Jan 10 12:03:40 2015  commencing duplicate removal, pass 2
Sat Jan 10 12:03:44 2015  found 219619 duplicates and 5100786 unique relations
Sat Jan 10 12:03:44 2015  memory use: 20.6 MB
Sat Jan 10 12:03:44 2015  reading ideals above 100000
Sat Jan 10 12:03:44 2015  commencing singleton removal, initial pass
Sat Jan 10 12:04:05 2015  memory use: 172.2 MB
Sat Jan 10 12:04:06 2015  reading all ideals from disk
Sat Jan 10 12:04:06 2015  memory use: 171.7 MB
Sat Jan 10 12:04:06 2015  keeping 5707808 ideals with weight <= 200, target excess is 26778
Sat Jan 10 12:04:07 2015  commencing in-memory singleton removal
Sat Jan 10 12:04:07 2015  begin with 5100786 relations and 5707808 unique ideals
Sat Jan 10 12:04:09 2015  reduce to 1754448 relations and 1748911 ideals in 27 passes
Sat Jan 10 12:04:09 2015  max relations containing the same ideal: 96
Sat Jan 10 12:09:28 2015  
Sat Jan 10 12:09:28 2015  commencing relation filtering
Sat Jan 10 12:09:28 2015  estimated available RAM is 15987.3 MB
Sat Jan 10 12:09:28 2015  commencing duplicate removal, pass 1
Sat Jan 10 12:09:44 2015  found 602238 hash collisions in 5654107 relations
Sat Jan 10 12:09:49 2015  added 52 free relations
Sat Jan 10 12:09:49 2015  commencing duplicate removal, pass 2
Sat Jan 10 12:09:54 2015  found 246039 duplicates and 5408120 unique relations
Sat Jan 10 12:09:54 2015  memory use: 20.6 MB
Sat Jan 10 12:09:54 2015  reading ideals above 100000
Sat Jan 10 12:09:54 2015  commencing singleton removal, initial pass
Sat Jan 10 12:10:17 2015  memory use: 172.2 MB
Sat Jan 10 12:10:17 2015  reading all ideals from disk
Sat Jan 10 12:10:17 2015  memory use: 182.1 MB
Sat Jan 10 12:10:18 2015  keeping 5833998 ideals with weight <= 200, target excess is 28276
Sat Jan 10 12:10:18 2015  commencing in-memory singleton removal
Sat Jan 10 12:10:18 2015  begin with 5408120 relations and 5833998 unique ideals
Sat Jan 10 12:10:20 2015  reduce to 2185314 relations and 2065345 ideals in 19 passes
Sat Jan 10 12:10:20 2015  max relations containing the same ideal: 110
Sat Jan 10 12:10:20 2015  removing 357184 relations and 313600 ideals in 43584 cliques
Sat Jan 10 12:10:20 2015  commencing in-memory singleton removal
Sat Jan 10 12:10:20 2015  begin with 1828130 relations and 2065345 unique ideals
Sat Jan 10 12:10:21 2015  reduce to 1778618 relations and 1700889 ideals in 9 passes
Sat Jan 10 12:10:21 2015  max relations containing the same ideal: 95
Sat Jan 10 12:10:21 2015  removing 269469 relations and 225885 ideals in 43584 cliques
Sat Jan 10 12:10:21 2015  commencing in-memory singleton removal
Sat Jan 10 12:10:21 2015  begin with 1509149 relations and 1700889 unique ideals
Sat Jan 10 12:10:22 2015  reduce to 1473929 relations and 1438933 ideals in 8 passes
Sat Jan 10 12:10:22 2015  max relations containing the same ideal: 83
Sat Jan 10 12:10:22 2015  relations with 0 large ideals: 82
Sat Jan 10 12:10:22 2015  relations with 1 large ideals: 191
Sat Jan 10 12:10:22 2015  relations with 2 large ideals: 2933
Sat Jan 10 12:10:22 2015  relations with 3 large ideals: 25886
Sat Jan 10 12:10:22 2015  relations with 4 large ideals: 116189
Sat Jan 10 12:10:22 2015  relations with 5 large ideals: 295498
Sat Jan 10 12:10:22 2015  relations with 6 large ideals: 434669
Sat Jan 10 12:10:22 2015  relations with 7+ large ideals: 598481
Sat Jan 10 12:10:22 2015  commencing 2-way merge
Sat Jan 10 12:10:23 2015  reduce to 842111 relation sets and 807115 unique ideals
Sat Jan 10 12:10:23 2015  commencing full merge
Sat Jan 10 12:10:30 2015  memory use: 90.7 MB
Sat Jan 10 12:10:30 2015  found 412798 cycles, need 407315
Sat Jan 10 12:10:30 2015  weight of 407315 cycles is about 28800948 (70.71/cycle)
Sat Jan 10 12:10:30 2015  distribution of cycle lengths:
Sat Jan 10 12:10:30 2015  1 relations: 46198
Sat Jan 10 12:10:30 2015  2 relations: 45279
Sat Jan 10 12:10:30 2015  3 relations: 45095
Sat Jan 10 12:10:30 2015  4 relations: 40917
Sat Jan 10 12:10:30 2015  5 relations: 37451
Sat Jan 10 12:10:30 2015  6 relations: 32031
Sat Jan 10 12:10:30 2015  7 relations: 28717
Sat Jan 10 12:10:30 2015  8 relations: 24747
Sat Jan 10 12:10:30 2015  9 relations: 21107
Sat Jan 10 12:10:30 2015  10+ relations: 85773
Sat Jan 10 12:10:30 2015  heaviest cycle: 22 relations
Sat Jan 10 12:10:30 2015  commencing cycle optimization
Sat Jan 10 12:10:30 2015  start with 2515328 relations
Sat Jan 10 12:10:32 2015  pruned 52797 relations
Sat Jan 10 12:10:32 2015  memory use: 84.5 MB
Sat Jan 10 12:10:32 2015  distribution of cycle lengths:
Sat Jan 10 12:10:32 2015  1 relations: 46198
Sat Jan 10 12:10:32 2015  2 relations: 46211
Sat Jan 10 12:10:32 2015  3 relations: 46502
Sat Jan 10 12:10:32 2015  4 relations: 41696
Sat Jan 10 12:10:32 2015  5 relations: 38165
Sat Jan 10 12:10:32 2015  6 relations: 32424
Sat Jan 10 12:10:32 2015  7 relations: 28980
Sat Jan 10 12:10:32 2015  8 relations: 24759
Sat Jan 10 12:10:32 2015  9 relations: 21089
Sat Jan 10 12:10:32 2015  10+ relations: 81291
Sat Jan 10 12:10:32 2015  heaviest cycle: 22 relations
Sat Jan 10 12:10:33 2015  RelProcTime: 65
Sat Jan 10 12:10:33 2015  
Sat Jan 10 12:10:33 2015  commencing linear algebra
Sat Jan 10 12:10:33 2015  read 407315 cycles
Sat Jan 10 12:10:33 2015  cycles contain 1421298 unique relations
Sat Jan 10 12:10:40 2015  read 1421298 relations
Sat Jan 10 12:10:41 2015  using 20 quadratic characters above 67108710
Sat Jan 10 12:10:45 2015  building initial matrix
Sat Jan 10 12:10:52 2015  memory use: 179.9 MB
Sat Jan 10 12:10:52 2015  read 407315 cycles
Sat Jan 10 12:10:52 2015  matrix is 407145 x 407315 (124.2 MB) with weight 39350648 (96.61/col)
Sat Jan 10 12:10:52 2015  sparse part has weight 27667403 (67.93/col)
Sat Jan 10 12:10:54 2015  filtering completed in 2 passes
Sat Jan 10 12:10:54 2015  matrix is 406278 x 406452 (124.1 MB) with weight 39311377 (96.72/col)
Sat Jan 10 12:10:54 2015  sparse part has weight 27654294 (68.04/col)
Sat Jan 10 12:10:55 2015  matrix starts at (0, 0)
Sat Jan 10 12:10:55 2015  matrix is 406278 x 406452 (124.1 MB) with weight 39311377 (96.72/col)
Sat Jan 10 12:10:55 2015  sparse part has weight 27654294 (68.04/col)
Sat Jan 10 12:10:55 2015  saving the first 48 matrix rows for later
Sat Jan 10 12:10:55 2015  matrix includes 64 packed rows
Sat Jan 10 12:10:55 2015  matrix is 406230 x 406452 (119.1 MB) with weight 31414886 (77.29/col)
Sat Jan 10 12:10:55 2015  sparse part has weight 27151239 (66.80/col)
Sat Jan 10 12:10:55 2015  using block size 65536 for processor cache size 8192 kB
Sat Jan 10 12:10:56 2015  commencing Lanczos iteration (8 threads)
Sat Jan 10 12:10:56 2015  memory use: 112.3 MB
Sat Jan 10 12:11:03 2015  linear algebra at 3.0%, ETA 0h 3m
Sat Jan 10 12:15:02 2015  lanczos halted after 6427 iterations (dim = 406226)
Sat Jan 10 12:15:02 2015  recovered 34 nontrivial dependencies
Sat Jan 10 12:15:02 2015  BLanczosTime: 269
Sat Jan 10 12:15:02 2015  
Sat Jan 10 12:15:02 2015  commencing square root phase
Sat Jan 10 12:15:02 2015  reading relations for dependency 1
Sat Jan 10 12:15:02 2015  read 203307 cycles
Sat Jan 10 12:15:02 2015  cycles contain 711108 unique relations
Sat Jan 10 12:15:08 2015  read 711108 relations
Sat Jan 10 12:15:10 2015  multiplying 711108 relations
Sat Jan 10 12:15:30 2015  multiply complete, coefficients have about 30.16 million bits
Sat Jan 10 12:15:30 2015  initial square root is modulo 457595503
Sat Jan 10 12:15:56 2015  GCD is N, no factor found
Sat Jan 10 12:15:56 2015  reading relations for dependency 2
Sat Jan 10 12:15:56 2015  read 203585 cycles
Sat Jan 10 12:15:56 2015  cycles contain 711028 unique relations
Sat Jan 10 12:16:01 2015  read 711028 relations
Sat Jan 10 12:16:03 2015  multiplying 711028 relations
Sat Jan 10 12:16:22 2015  multiply complete, coefficients have about 30.15 million bits
Sat Jan 10 12:16:23 2015  initial square root is modulo 457023233
Sat Jan 10 12:16:49 2015  sqrtTime: 107
--
n: 245497526643912253984926110537568991554490674583578903067805179193655377138965807783151810708848302897896115251
skew: 26528.17
c0: 39409440867466474410766875
c1: 931513164954718560599
c2: -305651928567317707
c3: -12535851680140
c4: -695876625
c5: 7308
Y0: -2019529342330850490994
Y1: 110141129531
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
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 23:38:22 UTC 2015 年 1 月 10 日 (土) 8 時 38 分 22 秒 (日本時間)
403e6110 / 2126Ignacio SantosJanuary 9, 2015 23:38:22 UTC 2015 年 1 月 10 日 (土) 8 時 38 分 22 秒 (日本時間)
4511e632 / 4437Ignacio SantosJanuary 9, 2015 23:38:22 UTC 2015 年 1 月 10 日 (土) 8 時 38 分 22 秒 (日本時間)

664×10200-79

c183

name 名前Eric Jeancolas
date 日付March 13, 2021 12:33:41 UTC 2021 年 3 月 13 日 (土) 21 時 33 分 41 秒 (日本時間)
composite number 合成数
181231927116147385881320956229387234368888908141867080902297567803866144233719416284558231505724572189931145002220605171670218771775993024591193946924837371846362921531857467693478121<183>
prime factors 素因数
205201131758447229877318196306535884008400461841374108158059963<63>
883191654758925874919514229354785919606855543503854091122870978085883830305749913595848281403932567481312053595585636267<120>
factorization results 素因数分解の結果
181231927116147385881320956229387234368888908141867080902297567803866144233719416284558231505724572189931145002220605171670218771775993024591193946924837371846362921531857467693478121=205201131758447229877318196306535884008400461841374108158059963*883191654758925874919514229354785919606855543503854091122870978085883830305749913595848281403932567481312053595585636267

cado polynomial
n: 181231927116147385881320956229387234368888908141867080902297567803866144233719416284558231505724572189931145002220605171670218771775993024591193946924837371846362921531857467693478121
skew: 0.40
type: snfs
c0: -7
c5: 664
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 664*x^5-7
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16800000
tasks.lim1 = 16800000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 205201131758447229877318196306535884008400461841374108158059963 883191654758925874919514229354785919606855543503854091122870978085883830305749913595848281403932567481312053595585636267
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 7.08/2.65279
Info:Generate Free Relations: Total cpu/real time for freerel: 204.99/52.8265
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 48196431
Info:Lattice Sieving: Average J: 1894.69 for 4323162 special-q, max bucket fill -bkmult 1.0,1s:1.115150
Info:Lattice Sieving: Total time: 1.45282e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.7/246.045
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 245.19999999999996s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 822.26/802.673
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 701.8000000000002s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 634.88/738.373
Info:Filtering - Merging: Merged matrix has 3486148 rows and total weight 597126063 (171.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 505.8/146.716
Info:Filtering - Merging: Total cpu/real time for replay: 140.45/124.373
Info:Linear Algebra: Total cpu/real time for bwc: 223916/57249.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 36626.95, iteration CPU time 0.32, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (109056 iterations)
Info:Linear Algebra: Lingen CPU time 768.62, WCT time 221.68
Info:Linear Algebra: Mksol: WCT time 19954.36, iteration CPU time 0.35, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (54784 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 126.51/54.5749
Info:Square Root: Total cpu/real time for sqrt: 1025.29/324.464
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.80022e+06/246869
Info:root: Cleaning up computation data in /tmp/cado.ljrhajsw
205201131758447229877318196306535884008400461841374108158059963 883191654758925874919514229354785919606855543503854091122870978085883830305749913595848281403932567481312053595585636267
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
4 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 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 00:02:07 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 7 秒 (日本時間)
4511e61385585CypMay 24, 2015 15:49:31 UTC 2015 年 5 月 25 日 (月) 0 時 49 分 31 秒 (日本時間)
800Dmitry DomanovJanuary 6, 2019 13:57:13 UTC 2019 年 1 月 6 日 (日) 22 時 57 分 13 秒 (日本時間)
5043e6900 / 7231300Dmitry DomanovJanuary 27, 2019 00:46:53 UTC 2019 年 1 月 27 日 (日) 9 時 46 分 53 秒 (日本時間)
600Dmitry DomanovFebruary 21, 2019 22:32:14 UTC 2019 年 2 月 22 日 (金) 7 時 32 分 14 秒 (日本時間)

664×10201-79

c190

name 名前Serge Batalov
date 日付January 9, 2015 03:48:00 UTC 2015 年 1 月 9 日 (金) 12 時 48 分 0 秒 (日本時間)
composite number 合成数
1303240617786078951707356138673333729021996278549656961353124410678390674555054228894325448512552246411208384731994170572316832825998969855623217259810712564611542204436736406496126885064201<190>
prime factors 素因数
3268373493310184241322997590237<31>
398742867194828029393631978651658563676534146388878788748052670711683247762902912543094934407248144487366551074907800992390997445554830823077478645205738303773<159>
factorization results 素因数分解の結果
Input number is 1303240617786078951707356138673333729021996278549656961353124410678390674555054228894325448512552246411208384731994170572316832825998969855623217259810712564611542204436736406496126885064201 (190 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1779685583
Step 1 took 15114ms
Step 2 took 11747ms
********** Factor found in step 2: 3268373493310184241322997590237
Found probable prime factor of 31 digits: 3268373493310184241322997590237
Probable prime cofactor 398742867194828029393631978651658563676534146388878788748052670711683247762902912543094934407248144487366551074907800992390997445554830823077478645205738303773 has 159 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 00:02:07 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 7 秒 (日本時間)
1CypJanuary 9, 2015 00:38:33 UTC 2015 年 1 月 9 日 (金) 9 時 38 分 33 秒 (日本時間)

664×10203-79

c179

name 名前Bob Backstrom
date 日付October 5, 2021 17:31:34 UTC 2021 年 10 月 6 日 (水) 2 時 31 分 34 秒 (日本時間)
composite number 合成数
19799408647811158910746329783233713894580841800796961308058096561184582093342025739580591817281935699389775022692631313810901404654281124471995987325503547353263389137655534868313<179>
prime factors 素因数
276621554444437520913594318272510677297066352654624100644200022785728991<72>
71575798522193930188576525875041861548965904384525517233932110586507870724008731807854278787338372199308743<107>
factorization results 素因数分解の結果
Number: n
N=19799408647811158910746329783233713894580841800796961308058096561184582093342025739580591817281935699389775022692631313810901404654281124471995987325503547353263389137655534868313  ( 179 digits)
SNFS difficulty: 205 digits.
Divisors found:

Wed Oct  6 04:20:19 2021  p72 factor: 276621554444437520913594318272510677297066352654624100644200022785728991
Wed Oct  6 04:20:19 2021  p107 factor: 71575798522193930188576525875041861548965904384525517233932110586507870724008731807854278787338372199308743
Wed Oct  6 04:20:19 2021  elapsed time 02:10:28 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 664x10^203-7 = 737(203)
#
n: 19799408647811158910746329783233713894580841800796961308058096561184582093342025739580591817281935699389775022692631313810901404654281124471995987325503547353263389137655534868313
m: 20000000000000000000000000000000000000000
deg: 5
c5: 20750
c0: -7
skew: 0.20
# Murphy_E = 7.576e-12
type: snfs
lss: 1
rlim: 18900000
alim: 18900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18900000/18900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 43850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9843934 hash collisions in 63498772 relations (55935779 unique)
Msieve: matrix is 2386851 x 2387076 (828.3 MB)

Sieving start time : 2021/10/05 11:06:27
Sieving end time  : 2021/10/06 02:08:52

Total sieving time: 15hrs 2min 25secs.

Total relation processing time: 1hrs 51min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 31sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18900000,18900000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118347] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239960K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487276K reserved, 0K cma-reserved)
[    0.154098] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.48 BogoMIPS (lpj=12798968)
[    0.150212] smpboot: Total of 16 processors activated (102391.74 BogoMIPS)

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 00:02:08 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 8 秒 (日本時間)
4511e61385585CypJuly 22, 2015 18:16:06 UTC 2015 年 7 月 23 日 (木) 3 時 16 分 6 秒 (日本時間)
800Dmitry DomanovAugust 30, 2018 14:41:47 UTC 2018 年 8 月 30 日 (木) 23 時 41 分 47 秒 (日本時間)
5043e6900 / 7231300Dmitry DomanovJanuary 27, 2019 00:47:30 UTC 2019 年 1 月 27 日 (日) 9 時 47 分 30 秒 (日本時間)
600Dmitry DomanovFebruary 21, 2019 22:32:53 UTC 2019 年 2 月 22 日 (金) 7 時 32 分 53 秒 (日本時間)

664×10205-79

c173

composite cofactor 合成数の残り
10915042633791113352653416232997589390879939710177644916228675026560820553971614801297656803504303168295747133413022671125227711794327449931633960417673990059888117731005441<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 00:02:08 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 8 秒 (日本時間)
4511e61385585CypJuly 22, 2015 16:00:27 UTC 2015 年 7 月 23 日 (木) 1 時 0 分 27 秒 (日本時間)
800Dmitry DomanovJanuary 6, 2019 13:58:36 UTC 2019 年 1 月 6 日 (日) 22 時 58 分 36 秒 (日本時間)
5043e6900 / 7231300Dmitry DomanovJanuary 27, 2019 02:06:06 UTC 2019 年 1 月 27 日 (日) 11 時 6 分 6 秒 (日本時間)
600Dmitry DomanovFebruary 21, 2019 23:10:28 UTC 2019 年 2 月 22 日 (金) 8 時 10 分 28 秒 (日本時間)

664×10206-79

c202

name 名前Bob Backstrom
date 日付September 8, 2020 18:42:53 UTC 2020 年 9 月 9 日 (水) 3 時 42 分 53 秒 (日本時間)
composite number 合成数
1019398555773237063421650861613621633369102861873936722400593940900706481580120573662852688296001161991534478385043015932385750177623289768936890278955497833647573684821955363945472801118550417710072519<202>
prime factors 素因数
199420311889065518128727093800958754069137452114802255735825257267751759900558243282293<87>
5111809053534691853257173962586999523967833889372590361088910814189092415921187683016442021744130534182175141825483<115>
factorization results 素因数分解の結果
Number: n
N=1019398555773237063421650861613621633369102861873936722400593940900706481580120573662852688296001161991534478385043015932385750177623289768936890278955497833647573684821955363945472801118550417710072519  ( 202 digits)
SNFS difficulty: 208 digits.
Divisors found:

Wed Sep  9 04:37:30 2020  p87 factor: 199420311889065518128727093800958754069137452114802255735825257267751759900558243282293
Wed Sep  9 04:37:30 2020  p115 factor: 5111809053534691853257173962586999523967833889372590361088910814189092415921187683016442021744130534182175141825483
Wed Sep  9 04:37:30 2020  elapsed time 03:12:02 (Msieve 1.54 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.127).
Factorization parameters were as follows:
#
# N = 664x10^206-7 = 737(206)
#
n: 1019398555773237063421650861613621633369102861873936722400593940900706481580120573662852688296001161991534478385043015932385750177623289768936890278955497833647573684821955363945472801118550417710072519
m: 100000000000000000000000000000000000000000
deg: 5
c5: 6640
c0: -7
skew: 0.25
# Murphy_E = 5.902e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 50500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9981979 hash collisions in 65043067 relations (57451368 unique)
Msieve: matrix is 2668818 x 2669045 (929.0 MB)

Sieving start time: 2020/09/08 04:02:19
Sieving end time  : 2020/09/09 01:24:05

Total sieving time: 21hrs 21min 46secs.

Total relation processing time: 2hrs 39min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 39sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149587] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283124K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2724K bss, 420336K reserved, 0K cma-reserved)
[    0.184717] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.39 BogoMIPS (lpj=11976780)
[    0.182223] smpboot: Total of 16 processors activated (95814.24 BogoMIPS)

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 00:02:09 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 9 秒 (日本時間)
1CypJanuary 9, 2015 00:51:36 UTC 2015 年 1 月 9 日 (金) 9 時 51 分 36 秒 (日本時間)
4511e61385 / 3356585CypMay 11, 2015 06:11:18 UTC 2015 年 5 月 11 日 (月) 15 時 11 分 18 秒 (日本時間)
800Dmitry DomanovJanuary 9, 2019 00:18:58 UTC 2019 年 1 月 9 日 (水) 9 時 18 分 58 秒 (日本時間)
5043e6300 / 7231Dmitry DomanovJanuary 30, 2019 09:53:30 UTC 2019 年 1 月 30 日 (水) 18 時 53 分 30 秒 (日本時間)

664×10207-79

c186

composite cofactor 合成数の残り
112291265371913879506787808677217807759674748399372481216527480593339998313620712297013694238209164937198143023149940425555693319062508306762059812175225151716309062338778829630260406793<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)
403e6300Serge BatalovJanuary 9, 2015 00:02:09 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 9 秒 (日本時間)
4511e61385 / 3356585CypJuly 22, 2015 16:39:25 UTC 2015 年 7 月 23 日 (木) 1 時 39 分 25 秒 (日本時間)
800Dmitry DomanovJanuary 7, 2019 09:35:31 UTC 2019 年 1 月 7 日 (月) 18 時 35 分 31 秒 (日本時間)
5043e6300 / 7231Dmitry DomanovJanuary 27, 2019 02:10:52 UTC 2019 年 1 月 27 日 (日) 11 時 10 分 52 秒 (日本時間)

664×10209-79

c210

name 名前Serge Batalov
date 日付January 11, 2015 21:37:35 UTC 2015 年 1 月 12 日 (月) 6 時 37 分 35 秒 (日本時間)
composite number 合成数
223569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569<210>
prime factors 素因数
384945507009536068539583462299030503039<39>
composite cofactor 合成数の残り
580780966391394203028261787586716535135777019246533659160625959429481621176679252663296902659465626021636950499158316671892433989059925377731687916991765275149826369300271<171>
factorization results 素因数分解の結果
Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=4220003258
Step 1 took 233792ms
Step 2 took 126535ms
********** Factor found in step 2: 384945507009536068539583462299030503039
Found probable prime factor of 39 digits: 384945507009536068539583462299030503039
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 00:02:10 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 10 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:09:04 UTC 2015 年 1 月 11 日 (日) 5 時 9 分 4 秒 (日本時間)
4511e60 / 436--
5043e61000 / 7462Serge BatalovJanuary 11, 2015 21:31:15 UTC 2015 年 1 月 12 日 (月) 6 時 31 分 15 秒 (日本時間)

664×10210-79

c195

name 名前Cyp
date 日付July 22, 2015 13:20:09 UTC 2015 年 7 月 22 日 (水) 22 時 20 分 9 秒 (日本時間)
composite number 合成数
128807537575501659956704785972837738055908193849790883798380763457766315239618596174630739851742761255431817944644571281814798954512494517642094948083599892746857741084434553890999580307992557003<195>
prime factors 素因数
1564681444645788316205071929501563090920013<43>
82321892431376685807127767767321369352322886568712547313405340172474674412450965049005495769084397587006061715912149358229976620222240375558043494618231<152>
factorization results 素因数分解の結果
Run 474 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2920257538
Step 1 took 69001ms
Step 2 took 20930ms
********** Factor found in step 2: 1564681444645788316205071929501563090920013
Found probable prime factor of 43 digits: 1564681444645788316205071929501563090920013
Probable prime cofactor 82321892431376685807127767767321369352322886568712547313405340172474674412450965049005495769084397587006061715912149358229976620222240375558043494618231 has 152 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 / 683Serge BatalovJanuary 9, 2015 00:02:10 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 10 秒 (日本時間)
4511e6474 / 4409CypJuly 22, 2015 13:20:09 UTC 2015 年 7 月 22 日 (水) 22 時 20 分 9 秒 (日本時間)

664×10211-79

c198

name 名前Cyp
date 日付July 22, 2015 13:53:31 UTC 2015 年 7 月 22 日 (水) 22 時 53 分 31 秒 (日本時間)
composite number 合成数
386237380920548439221845347490580412346276298672010535770117431885168107053833821981811906204542113644459100848434436647062710726707320296576176406465054752980686384762980224594839499787179885419503<198>
prime factors 素因数
9887559150726147776747961521264811274610011699<46>
composite cofactor 合成数の残り
39062965392442982629230623963196380303378859949954542818875511174240115695146172259060810298160638181107212424522387901926229724017247309031909471725397<152>
factorization results 素因数分解の結果
Run 389 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2128562015
Step 1 took 69552ms
Step 2 took 21082ms
********** Factor found in step 2: 9887559150726147776747961521264811274610011699
Found probable prime factor of 46 digits: 9887559150726147776747961521264811274610011699
Composite cofactor 39062965392442982629230623963196380303378859949954542818875511174240115695146172259060810298160638181107212424522387901926229724017247309031909471725397 has 152 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 00:02:11 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 11 秒 (日本時間)
4511e61385 / 3356585CypJuly 22, 2015 13:53:30 UTC 2015 年 7 月 22 日 (水) 22 時 53 分 30 秒 (日本時間)
800Dmitry DomanovJanuary 7, 2019 21:44:39 UTC 2019 年 1 月 8 日 (火) 6 時 44 分 39 秒 (日本時間)
5043e6300 / 7231Dmitry DomanovJanuary 27, 2019 09:55:12 UTC 2019 年 1 月 27 日 (日) 18 時 55 分 12 秒 (日本時間)

664×10212-79

c208

name 名前Bob Backstrom
date 日付September 6, 2017 10:23:44 UTC 2017 年 9 月 6 日 (水) 19 時 23 分 44 秒 (日本時間)
composite number 合成数
5255400180915568276156716349985274590306335218708148236793452404555323890550592605731093044881513282984383467555779068358430639362963184576223603980902318969074106920325204796375800053551261482040263488669191<208>
prime factors 素因数
109354057487731525262530793680206395317434799519684755846500201159547026283798973<81>
48058575069381158447771236122339394199471972086070173667011886969107178384260758106806012964067146324153749479933382829971106067<128>
factorization results 素因数分解の結果
Number: n
N=5255400180915568276156716349985274590306335218708148236793452404555323890550592605731093044881513282984383467555779068358430639362963184576223603980902318969074106920325204796375800053551261482040263488669191
  ( 208 digits)
SNFS difficulty: 215 digits.
Divisors found:

Wed Sep  6 20:11:43 2017  prp81 factor: 109354057487731525262530793680206395317434799519684755846500201159547026283798973
Wed Sep  6 20:11:43 2017  prp128 factor: 48058575069381158447771236122339394199471972086070173667011886969107178384260758106806012964067146324153749479933382829971106067
Wed Sep  6 20:11:43 2017  elapsed time 19:22:03 (Msieve 1.44 - dependency 3)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=3.827).
Factorization parameters were as follows:
#
# 664x10^212-7 737(212)
#
n: 5255400180915568276156716349985274590306335218708148236793452404555323890550592605731093044881513282984383467555779068358430639362963184576223603980902318969074106920325204796375800053551261482040263488669191
m: 200000000000000000000000000000000000
deg: 6
c6: 2075
c0: -14
skew: 0.43
# Murphy_E = 2.594e-12
type: snfs
lss: 1
rlim: 27000000
alim: 27000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 27000000/27000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 47100000)
Primes: RFBsize:1683065, AFBsize:1683496,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 13422782 hash collisions in 67376403 relations (55718897 unique)
Msieve: matrix is 3870983 x 3871208 (1095.9 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 18hrs 39min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 23min 50sec.

Prototype def-par.txt line would be:
snfs,215,6,0,0,0,0,0,0,0,0,27000000,27000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 00:02:11 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 11 秒 (日本時間)
4511e6585 / 4409CypMay 28, 2015 02:03:35 UTC 2015 年 5 月 28 日 (木) 11 時 3 分 35 秒 (日本時間)

664×10213-79

c175

name 名前Cyp
date 日付June 29, 2015 13:17:46 UTC 2015 年 6 月 29 日 (月) 22 時 17 分 46 秒 (日本時間)
composite number 合成数
1023544764910292740823447982646401037950281412609841149428437928121681654659075540111006073219576234448490431279274489382482352740457050663567184599101784220021475287145192319<175>
prime factors 素因数
448408266898652941515667004588845446487898559821<48>
composite cofactor 合成数の残り
2282617963289310535941387547727090676592550075554642134221102211070933086232465905114511989565001625675053623322624871944953339<127>
factorization results 素因数分解の結果
Run 33 out of 504:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2081976130
Step 1 took 60799ms
Step 2 took 19190ms
********** Factor found in step 2: 448408266898652941515667004588845446487898559821
Found probable prime factor of 48 digits: 448408266898652941515667004588845446487898559821
Composite cofactor 2282617963289310535941387547727090676592550075554642134221102211070933086232465905114511989565001625675053623322624871944953339 has 127 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

c127

name 名前Erik Branger
date 日付July 5, 2015 09:29:59 UTC 2015 年 7 月 5 日 (日) 18 時 29 分 59 秒 (日本時間)
composite number 合成数
2282617963289310535941387547727090676592550075554642134221102211070933086232465905114511989565001625675053623322624871944953339<127>
prime factors 素因数
225887054522347599208995260408595131873501377813469563<54>
10105129610530581111501012331783924615055700345699655760071075503250695553<74>
factorization results 素因数分解の結果
Number: 73777_213
N = 2282617963289310535941387547727090676592550075554642134221102211070933086232465905114511989565001625675053623322624871944953339 (127 digits)
Divisors found:
r1=225887054522347599208995260408595131873501377813469563 (pp54)
r2=10105129610530581111501012331783924615055700345699655760071075503250695553 (pp74)
Version: Msieve v. 1.51 (SVN 845)
Total time: 47.65 hours.
Factorization parameters were as follows:
# Murphy_E = 1.235e-10, selected by Erik Branger
# expecting poly E from 1.38e-010 to > 1.59e-010
n: 2282617963289310535941387547727090676592550075554642134221102211070933086232465905114511989565001625675053623322624871944953339
Y0: -3219432496703324162262623
Y1: 29465570226557
c0: -522263172543607036105822145103840
c1: 3090417396374108056638050784
c2: 4841931471120049395082
c3: -20851175081283515
c4: -12157887306
c5: 6600
skew: 748586.99
type: gnfs
# selected mechanically
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 17105781
Relations: 1660632 relations
Pruned matrix : 984382 x 984609
Polynomial selection time: 0.00 hours.
Total sieving time: 46.66 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.75 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: gnfs,126,5,65,2000,1e-05,0.28,250,20,50000,3600,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time: 47.65 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 21:03:17 UTC 2015 年 1 月 9 日 (金) 6 時 3 分 17 秒 (日本時間)
300Serge BatalovJanuary 9, 2015 00:02:12 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 12 秒 (日本時間)
4511e64347504CypJune 29, 2015 13:17:46 UTC 2015 年 6 月 29 日 (月) 22 時 17 分 46 秒 (日本時間)
3843KTakahashiJuly 2, 2015 19:01:02 UTC 2015 年 7 月 3 日 (金) 4 時 1 分 2 秒 (日本時間)

664×10214-79

c172

composite cofactor 合成数の残り
3709324273940826068356594134434630639521857257761034297457388104120474194689684883493451441258045579712855162012179025653619766064061867401234796152592881691868547377502571<172>

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 00:02:13 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 13 秒 (日本時間)
1CypJanuary 9, 2015 00:22:12 UTC 2015 年 1 月 9 日 (金) 9 時 22 分 12 秒 (日本時間)
4511e61385 / 3356585CypJune 30, 2015 13:46:29 UTC 2015 年 6 月 30 日 (火) 22 時 46 分 29 秒 (日本時間)
800Dmitry DomanovJanuary 7, 2019 09:37:02 UTC 2019 年 1 月 7 日 (月) 18 時 37 分 2 秒 (日本時間)
5043e6300 / 7231Dmitry DomanovJanuary 27, 2019 09:56:22 UTC 2019 年 1 月 27 日 (日) 18 時 56 分 22 秒 (日本時間)

664×10215-79

c157

name 名前Bob Backstrom
date 日付July 10, 2022 10:36:36 UTC 2022 年 7 月 10 日 (日) 19 時 36 分 36 秒 (日本時間)
composite number 合成数
9451320004042921493547028868846736351704766047750374629485171176617272815622063550598050000919922660848713651459810022304518046517686598824033044752134590757<157>
prime factors 素因数
5682848751946974734802910394189450143703<40>
1663130661502269986496835381458204060679491318488623493798055474294005303731792051935271857118418750386246782077566819<118>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 9451320004042921493547028868846736351704766047750374629485171176617272815622063550598050000919922660848713651459810022304518046517686598824033044752134590757 (157 digits)
Using B1=16080000, B2=58558467250, polynomial Dickson(12), sigma=1:2473778111
Step 1 took 40461ms
Step 2 took 14207ms
********** Factor found in step 2: 5682848751946974734802910394189450143703
Found prime factor of 40 digits: 5682848751946974734802910394189450143703
Prime cofactor 1663130661502269986496835381458204060679491318488623493798055474294005303731792051935271857118418750386246782077566819 has 118 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 00:02:13 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 13 秒 (日本時間)
4511e61385 / 3356585CypJune 11, 2015 06:03:28 UTC 2015 年 6 月 11 日 (木) 15 時 3 分 28 秒 (日本時間)
800Dmitry DomanovJanuary 7, 2019 21:45:11 UTC 2019 年 1 月 8 日 (火) 6 時 45 分 11 秒 (日本時間)
5043e6300 / 7231Dmitry DomanovJanuary 27, 2019 09:55:46 UTC 2019 年 1 月 27 日 (日) 18 時 55 分 46 秒 (日本時間)

664×10216-79

c172

name 名前Serge Batalov
date 日付January 9, 2015 03:48:03 UTC 2015 年 1 月 9 日 (金) 12 時 48 分 3 秒 (日本時間)
composite number 合成数
1776386861508046772021033624569618099567985813041372075475777894745249876700317046243886212977455416255382142862009579716328180266119616007238715870043538101480076626776191<172>
prime factors 素因数
21309475234420326604870454528309<32>
83361361176962325852277312479674366659720526416295126539924578942989458295612708423697092550534162864118102674127163899474601359187401350499<140>
factorization results 素因数分解の結果
Input number is 1776386861508046772021033624569618099567985813041372075475777894745249876700317046243886212977455416255382142862009579716328180266119616007238715870043538101480076626776191 (172 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3972508100
Step 1 took 11679ms
********** Factor found in step 1: 21309475234420326604870454528309
Found probable prime factor of 32 digits: 21309475234420326604870454528309
Probable prime cofactor 83361361176962325852277312479674366659720526416295126539924578942989458295612708423697092550534162864118102674127163899474601359187401350499 has 140 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 00:02:14 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 14 秒 (日本時間)
1CypJanuary 9, 2015 01:00:38 UTC 2015 年 1 月 9 日 (金) 10 時 0 分 38 秒 (日本時間)

664×10217-79

c166

composite cofactor 合成数の残り
2412793881084316815352464866476438571053133745017098875819549177549734162889042382707774358179354206622867416660515827473056110770133508817788766704322413668000594901<166>

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 00:02:14 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 14 秒 (日本時間)
1CypJanuary 9, 2015 01:06:44 UTC 2015 年 1 月 9 日 (金) 10 時 6 分 44 秒 (日本時間)
4511e61385 / 3356585CypMay 19, 2015 19:15:02 UTC 2015 年 5 月 20 日 (水) 4 時 15 分 2 秒 (日本時間)
800Dmitry DomanovJanuary 7, 2019 21:48:55 UTC 2019 年 1 月 8 日 (火) 6 時 48 分 55 秒 (日本時間)
5043e6300 / 7231Dmitry DomanovJanuary 27, 2019 09:56:03 UTC 2019 年 1 月 27 日 (日) 18 時 56 分 3 秒 (日本時間)

664×10218-79

c214

name 名前Serge Batalov
date 日付January 9, 2015 03:48:07 UTC 2015 年 1 月 9 日 (金) 12 時 48 分 7 秒 (日本時間)
composite number 合成数
1445702096405207305733617500885764691822362141799817680418450633660591081833901849150958100962304166968489638224154411783116555311680417274912076165160229841377086984738110520920648351232279235792291886556540309473<214>
prime factors 素因数
9909044979435488808696551836528279<34>
composite cofactor 合成数の残り
145897218087667608722888825556868200040520664773241063253870569945523968480537693997415302110611693531333165953775313072481864854201751557003619584899336044471520744264679698594887<180>
factorization results 素因数分解の結果
Input number is 1445702096405207305733617500885764691822362141799817680418450633660591081833901849150958100962304166968489638224154411783116555311680417274912076165160229841377086984738110520920648351232279235792291886556540309473 (214 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1030301762
Step 1 took 20134ms
Step 2 took 13992ms
********** Factor found in step 2: 9909044979435488808696551836528279
Found probable prime factor of 34 digits: 9909044979435488808696551836528279
Composite cofactor 145897218087667608722888825556868200040520664773241063253870569945523968480537693997415302110611693531333165953775313072481864854201751557003619584899336044471520744264679698594887 has 180 digits

c180

name 名前Erik Branger
date 日付January 22, 2020 18:01:27 UTC 2020 年 1 月 23 日 (木) 3 時 1 分 27 秒 (日本時間)
composite number 合成数
145897218087667608722888825556868200040520664773241063253870569945523968480537693997415302110611693531333165953775313072481864854201751557003619584899336044471520744264679698594887<180>
prime factors 素因数
8900351952172783270308330604538535021561792951115658759030451832038267390074097088877<85>
16392297616056710959706000567613397102799937352568111539355520524709947719713638976097868976131<95>
factorization results 素因数分解の結果
Number: 73777_218
N = 145897218087667608722888825556868200040520664773241063253870569945523968480537693997415302110611693531333165953775313072481864854201751557003619584899336044471520744264679698594887 (180 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=8900351952172783270308330604538535021561792951115658759030451832038267390074097088877 (pp85)
r2=16392297616056710959706000567613397102799937352568111539355520524709947719713638976097868976131 (pp95)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 70.19 hours.
Factorization parameters were as follows:
n: 145897218087667608722888825556868200040520664773241063253870569945523968480537693997415302110611693531333165953775313072481864854201751557003619584899336044471520744264679698594887
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 166
c0: -175
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 9052676 relations
Pruned matrix : 7745069 x 7745294
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 49.49 hours.
Total relation processing time: 0.44 hours.
Matrix solve time: 19.99 hours.
time per square root: 0.28 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 70.19 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 00:02:15 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 15 秒 (日本時間)
4511e61385 / 3356585CypJuly 22, 2015 09:44:21 UTC 2015 年 7 月 22 日 (水) 18 時 44 分 21 秒 (日本時間)
800Dmitry DomanovJanuary 7, 2019 21:49:30 UTC 2019 年 1 月 8 日 (火) 6 時 49 分 30 秒 (日本時間)
5043e6300 / 7231Dmitry DomanovJanuary 27, 2019 18:40:58 UTC 2019 年 1 月 28 日 (月) 3 時 40 分 58 秒 (日本時間)

664×10219-79

c219

name 名前Bob Backstrom
date 日付May 24, 2019 22:26:41 UTC 2019 年 5 月 25 日 (土) 7 時 26 分 41 秒 (日本時間)
composite number 合成数
353003721424774056353003721424774056353003721424774056353003721424774056353003721424774056353003721424774056353003721424774056353003721424774056353003721424774056353003721424774056353003721424774056353003721424774056353<219>
prime factors 素因数
65615142122914336738662989359410633574641013357<47>
216847967957448046167494879288391010874422986926252498744064403827057563185607268161<84>
24809605190915420390951665032806395275515237144230364601523891045006790126422735224958789<89>
factorization results 素因数分解の結果
Number: n
N=353003721424774056353003721424774056353003721424774056353003721424774056353003721424774056353003721424774056353003721424774056353003721424774056353003721424774056353003721424774056353003721424774056353003721424774056353
  ( 219 digits)
SNFS difficulty: 221 digits.
Divisors found:

Sat May 25 07:33:04 2019  found factor: 216847967957448046167494879288391010874422986926252498744064403827057563185607268161
Sat May 25 07:42:52 2019  found factor: 216847967957448046167494879288391010874422986926252498744064403827057563185607268161
Sat May 25 08:03:19 2019  found factor: 216847967957448046167494879288391010874422986926252498744064403827057563185607268161
Sat May 25 08:20:33 2019  p47 factor: 65615142122914336738662989359410633574641013357
Sat May 25 08:20:33 2019  p84 factor: 216847967957448046167494879288391010874422986926252498744064403827057563185607268161
Sat May 25 08:20:33 2019  p89 factor: 24809605190915420390951665032806395275515237144230364601523891045006790126422735224958789
Sat May 25 08:20:33 2019  elapsed time 08:46:50 (Msieve 1.54 - dependency 5)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.740).
Factorization parameters were as follows:
#
# N = 664x10^219-7 = 737(219)
#
n: 353003721424774056353003721424774056353003721424774056353003721424774056353003721424774056353003721424774056353003721424774056353003721424774056353003721424774056353003721424774056353003721424774056353003721424774056353
m: 2000000000000000000000000000000000000
deg: 6
c6: 10375
c0: -7
skew: 0.30
# Murphy_E = 2.051e-12
type: snfs
lss: 1
rlim: 35000000
alim: 35000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 35000000/35000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 71900000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 13217785 hash collisions in 69679851 relations (58613123 unique)
Msieve: matrix is 4159730 x 4159955 (1443.2 MB)

Sieving start time: 2019/05/23 14:02:12
Sieving end time  : 2019/05/24 23:31:30

Total sieving time: 33hrs 29min 18secs.

Total relation processing time: 7hrs 28min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 57min 17sec.

Prototype def-par.txt line would be:
snfs,221,6,0,0,0,0,0,0,0,0,35000000,35000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284432K/16703460K available (12300K kernel code, 2474K rwdata, 4276K rodata, 2412K init, 2416K bss, 419028K reserved, 0K cma-reserved)
[    0.080563] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.52 BogoMIPS (lpj=11977044)
[    0.078215] smpboot: Total of 16 processors activated (95816.35 BogoMIPS)

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 00:02:15 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 15 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:09:10 UTC 2015 年 1 月 11 日 (日) 5 時 9 分 10 秒 (日本時間)
4511e6900 / 1840Dmitry DomanovJanuary 9, 2019 09:13:26 UTC 2019 年 1 月 9 日 (水) 18 時 13 分 26 秒 (日本時間)
5043e6600 / 7260Dmitry DomanovJanuary 30, 2019 16:05:23 UTC 2019 年 1 月 31 日 (木) 1 時 5 分 23 秒 (日本時間)

664×10221-79

c216

name 名前Serge Batalov
date 日付January 9, 2015 03:48:10 UTC 2015 年 1 月 9 日 (金) 12 時 48 分 10 秒 (日本時間)
composite number 合成数
460880584403799635580888995196826098656889168360211937602571524866516940169100279265176160810175871267501497705727427573431725230047606673847935796724786831797681308391669952696646657161282252244566531988891917235259<216>
prime factors 素因数
228253307073624776979974634549496073<36>
composite cofactor 合成数の残り
2019162790290434764476347513373958124758618321239004135032731443573196469779928351734486148005317714440592979457523784701368852795808450350652900225795722629434060818796960148584483<181>
factorization results 素因数分解の結果
Input number is 460880584403799635580888995196826098656889168360211937602571524866516940169100279265176160810175871267501497705727427573431725230047606673847935796724786831797681308391669952696646657161282252244566531988891917235259 (216 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2701571366
Step 1 took 26557ms
Step 2 took 18727ms
********** Factor found in step 2: 228253307073624776979974634549496073
Found probable prime factor of 36 digits: 228253307073624776979974634549496073
Composite cofactor 2019162790290434764476347513373958124758618321239004135032731443573196469779928351734486148005317714440592979457523784701368852795808450350652900225795722629434060818796960148584483 has 181 digits

c181

name 名前Erik Branger
date 日付February 16, 2020 21:26:58 UTC 2020 年 2 月 17 日 (月) 6 時 26 分 58 秒 (日本時間)
composite number 合成数
2019162790290434764476347513373958124758618321239004135032731443573196469779928351734486148005317714440592979457523784701368852795808450350652900225795722629434060818796960148584483<181>
prime factors 素因数
163101993149972637693766618346952194988228802835044013931835420564597<69>
12379755460338306130235954561438642118635145671256922623956542991869258090247032176402085979074381600520544931639<113>
factorization results 素因数分解の結果
Number: 73777_221
N = 2019162790290434764476347513373958124758618321239004135032731443573196469779928351734486148005317714440592979457523784701368852795808450350652900225795722629434060818796960148584483 (181 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=163101993149972637693766618346952194988228802835044013931835420564597 (pp69)
r2=12379755460338306130235954561438642118635145671256922623956542991869258090247032176402085979074381600520544931639 (pp113)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 66.26 hours.
Factorization parameters were as follows:
n: 2019162790290434764476347513373958124758618321239004135032731443573196469779928351734486148005317714440592979457523784701368852795808450350652900225795722629434060818796960148584483
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 6640
c0: -7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 90000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/90000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 0
Relations: 10107452 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 29.56 hours.
Total relation processing time: 0.30 hours.
Pruned matrix : 8598343 x 8598568
Matrix solve time: 35.93 hours.
time per square root: 0.48 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,90000000,29,28,58,56,2.8,2.8,100000
total time: 66.26 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 00:02:16 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 16 秒 (日本時間)
1CypJanuary 9, 2015 00:40:45 UTC 2015 年 1 月 9 日 (金) 9 時 40 分 45 秒 (日本時間)
4511e61385 / 3356585CypJune 17, 2015 20:10:21 UTC 2015 年 6 月 18 日 (木) 5 時 10 分 21 秒 (日本時間)
800Dmitry DomanovJanuary 7, 2019 21:49:58 UTC 2019 年 1 月 8 日 (火) 6 時 49 分 58 秒 (日本時間)
5043e6300 / 7231Dmitry DomanovJanuary 27, 2019 18:41:29 UTC 2019 年 1 月 28 日 (月) 3 時 41 分 29 秒 (日本時間)

664×10222-79

c158

composite cofactor 合成数の残り
15417322059426811960387801662088771978118925139572145505692845841198094478173435960620530551595813778991438087344946504938025588749946459326398506205289600787<158>

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 00:02:17 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 17 秒 (日本時間)
4511e61385 / 3356585CypJanuary 29, 2015 17:06:22 UTC 2015 年 1 月 30 日 (金) 2 時 6 分 22 秒 (日本時間)
800Dmitry DomanovJanuary 8, 2019 13:05:31 UTC 2019 年 1 月 8 日 (火) 22 時 5 分 31 秒 (日本時間)
5043e6300 / 7231Dmitry DomanovJanuary 27, 2019 23:05:30 UTC 2019 年 1 月 28 日 (月) 8 時 5 分 30 秒 (日本時間)

664×10225-79

c183

composite cofactor 合成数の残り
129099455577907932837287032386419533097113991993051223248209669883213282388128287267954493631289301848276548226245385108298651459367106743124151998194416472065141074605595350365257513<183>

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 00:02:17 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 17 秒 (日本時間)
4511e61385 / 3356585CypJuly 22, 2015 05:13:29 UTC 2015 年 7 月 22 日 (水) 14 時 13 分 29 秒 (日本時間)
800Dmitry DomanovJanuary 8, 2019 00:46:11 UTC 2019 年 1 月 8 日 (火) 9 時 46 分 11 秒 (日本時間)
5043e6300 / 7231Dmitry DomanovJanuary 28, 2019 11:53:12 UTC 2019 年 1 月 28 日 (月) 20 時 53 分 12 秒 (日本時間)

664×10226-79

c199

composite cofactor 合成数の残り
3845425171398432977192074095475209874296574953843024260804613714822599160053790541574438016607024295039336517990049439633510320666784988803468494961071663552542366694588975726631215217611395214101863<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)
403e6301300Serge BatalovJanuary 9, 2015 00:02:18 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 18 秒 (日本時間)
1CypJanuary 9, 2015 01:00:39 UTC 2015 年 1 月 9 日 (金) 10 時 0 分 39 秒 (日本時間)
4511e61385 / 3356585CypJune 13, 2015 23:19:03 UTC 2015 年 6 月 14 日 (日) 8 時 19 分 3 秒 (日本時間)
800Dmitry DomanovJanuary 8, 2019 00:13:59 UTC 2019 年 1 月 8 日 (火) 9 時 13 分 59 秒 (日本時間)
5043e6300 / 7231Dmitry DomanovJanuary 28, 2019 16:56:59 UTC 2019 年 1 月 29 日 (火) 1 時 56 分 59 秒 (日本時間)

664×10227-79

c200

composite cofactor 合成数の残り
51341427872729209936300837128376107836155981791534536336647554382008822361812018144698213252821890769049631372353464773846587244020900638916228809412987440035046098989934826982232175981882275390132079<200>

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 00:02:19 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 19 秒 (日本時間)
4511e61385 / 3356585CypJuly 22, 2015 06:42:53 UTC 2015 年 7 月 22 日 (水) 15 時 42 分 53 秒 (日本時間)
800Dmitry DomanovJanuary 8, 2019 00:14:28 UTC 2019 年 1 月 8 日 (火) 9 時 14 分 28 秒 (日本時間)
5043e6300 / 7231Dmitry DomanovJanuary 28, 2019 16:56:27 UTC 2019 年 1 月 29 日 (火) 1 時 56 分 27 秒 (日本時間)

664×10228-79

c192

composite cofactor 合成数の残り
244075025622438597671086437492992581999129607716167320581427465825603097339792230746259535358767379058884279780723249815502000856697847601861946446518251167278448728795714332107189610521448047<192>

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 00:02:19 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 19 秒 (日本時間)
4511e61385 / 3356585CypMay 25, 2015 04:58:31 UTC 2015 年 5 月 25 日 (月) 13 時 58 分 31 秒 (日本時間)
800Dmitry DomanovJanuary 8, 2019 00:45:46 UTC 2019 年 1 月 8 日 (火) 9 時 45 分 46 秒 (日本時間)
5043e6300 / 7231Dmitry DomanovJanuary 28, 2019 21:34:56 UTC 2019 年 1 月 29 日 (火) 6 時 34 分 56 秒 (日本時間)

664×10229-79

c230

name 名前Bob Backstrom
date 日付December 17, 2018 16:55:04 UTC 2018 年 12 月 18 日 (火) 1 時 55 分 4 秒 (日本時間)
composite number 合成数
67070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707<230>
prime factors 素因数
42605242918885917274419182990368478264099824387<47>
1574235997161189283919601699027291403347559525357436873789907508279320173972170404470499755632848438398324498979548029223731120263681523565015322612810859000912093709872807379603841361<184>
factorization results 素因数分解の結果
Number: n
N=67070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707
  ( 230 digits)
SNFS difficulty: 231 digits.
Divisors found:

Tue Dec 18 03:50:26 2018  p47 factor: 42605242918885917274419182990368478264099824387
Tue Dec 18 03:50:26 2018  p184 factor: 1574235997161189283919601699027291403347559525357436873789907508279320173972170404470499755632848438398324498979548029223731120263681523565015322612810859000912093709872
807379603841361
Tue Dec 18 03:50:26 2018  elapsed time 26:45:51 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.126).
Factorization parameters were as follows:
#
# N = 664x10^229-7 = 737(229)
#
n: 67070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707
m: 100000000000000000000000000000000000000
deg: 6
c6: 6640
c0: -7
skew: 0.32
# Murphy_E = 8.229e-13
type: snfs
lss: 1
rlim: 51000000
alim: 51000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 51000000/51000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved  special-q in [100000, 94300000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 19348436 hash collisions in 108231220 relations (91135170 unique)
Msieve: matrix is 7136605 x 7136830 (2518.6 MB)

Sieving start time: 2018/12/15 01:58:19
Sieving end time  : 2018/12/17 01:01:15

Total sieving time: 47hrs 2min 56secs.

Total relation processing time: 25hrs 47min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 18min 31sec.

Prototype def-par.txt line would be:
snfs,231,6,0,0,0,0,0,0,0,0,51000000,51000000,30,30,59,59,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.044000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285112K/16703460K available (12300K kernel code, 2472K rwdata, 4252K rodata, 2408K init, 2416K bss, 418348K reserved, 0K cma-reserved)
[    0.076563] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.75 BogoMIPS (lpj=11977512)
[    0.074212] smpboot: Total of 16 processors activated (95820.09 BogoMIPS)

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 00:02:20 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 20 秒 (日本時間)
1CypJanuary 9, 2015 00:16:10 UTC 2015 年 1 月 9 日 (金) 9 時 16 分 10 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 08:39:57 UTC 2015 年 1 月 10 日 (土) 17 時 39 分 57 秒 (日本時間)
4511e6436KTakahashiMarch 14, 2015 01:28:15 UTC 2015 年 3 月 14 日 (土) 10 時 28 分 15 秒 (日本時間)
5043e61000 / 7364Serge BatalovJanuary 11, 2015 21:22:47 UTC 2015 年 1 月 12 日 (月) 6 時 22 分 47 秒 (日本時間)

664×10230-79

c218

name 名前Dmitry Domanov
date 日付January 31, 2019 06:09:37 UTC 2019 年 1 月 31 日 (木) 15 時 9 分 37 秒 (日本時間)
composite number 合成数
27765099447194393972955453351570189723963406090516793708413764905392608804325201490925319869533756933395970487633051757785374899433774336695829411897286414732620735606485122591829586751965497931776653684353810903596267<218>
prime factors 素因数
172938636076821490914162418284570219717801497<45>
composite cofactor 合成数の残り
160548851760695000602074908185351809144981992369587691980330119457782434321537668085243309517855176437251129945738148612542716010351948139189626936881607259541211562890773411<174>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=239254246
Step 1 took 412620ms
Step 2 took 105619ms
********** Factor found in step 2: 172938636076821490914162418284570219717801497
Found probable prime factor of 45 digits: 172938636076821490914162418284570219717801497

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 00:02:20 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 20 秒 (日本時間)
1CypJanuary 9, 2015 00:41:51 UTC 2015 年 1 月 9 日 (金) 9 時 41 分 51 秒 (日本時間)
4511e61385 / 3356585CypJanuary 29, 2015 14:18:56 UTC 2015 年 1 月 29 日 (木) 23 時 18 分 56 秒 (日本時間)
800Dmitry DomanovJanuary 9, 2019 09:14:02 UTC 2019 年 1 月 9 日 (水) 18 時 14 分 2 秒 (日本時間)
5043e6300 / 7231Dmitry DomanovJanuary 30, 2019 20:50:58 UTC 2019 年 1 月 31 日 (木) 5 時 50 分 58 秒 (日本時間)

664×10232-79

c185

name 名前Serge Batalov
date 日付January 9, 2015 03:48:14 UTC 2015 年 1 月 9 日 (金) 12 時 48 分 14 秒 (日本時間)
composite number 合成数
23868354138583736809667382559747637002599428217663790350700164961159601601456661309380619109911137982138612066420698770908848165500047794322491265610671540277579775769588114453476467269<185>
prime factors 素因数
1944497637301758540347605508353794563<37>
12274817763062010714314347098716697933842538507552088699694722079497798006340871225838319789162220441295481482929819256271747810896097353090287344663<149>
factorization results 素因数分解の結果
Input number is 23868354138583736809667382559747637002599428217663790350700164961159601601456661309380619109911137982138612066420698770908848165500047794322491265610671540277579775769588114453476467269 (185 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3498639772
Step 1 took 16146ms
Step 2 took 11757ms
********** Factor found in step 2: 1944497637301758540347605508353794563
Found probable prime factor of 37 digits: 1944497637301758540347605508353794563
Probable prime cofactor 12274817763062010714314347098716697933842538507552088699694722079497798006340871225838319789162220441295481482929819256271747810896097353090287344663 has 149 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 00:02:21 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 21 秒 (日本時間)

664×10233-79

c215

composite cofactor 合成数の残り
49067512623644531286180416737614948463965506098742693383726776138453495042810594868952812213124454790612205966044144655359558953812315550144102869092181275967402881882186407690394453287642675503647059451798970291741<215>

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 00:02:21 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 21 秒 (日本時間)
1CypJanuary 9, 2015 00:22:45 UTC 2015 年 1 月 9 日 (金) 9 時 22 分 45 秒 (日本時間)
4511e61385 / 3356585CypJuly 22, 2015 06:14:23 UTC 2015 年 7 月 22 日 (水) 15 時 14 分 23 秒 (日本時間)
800Dmitry DomanovJanuary 9, 2019 09:15:30 UTC 2019 年 1 月 9 日 (水) 18 時 15 分 30 秒 (日本時間)
5043e6300 / 7231Dmitry DomanovJanuary 30, 2019 20:51:31 UTC 2019 年 1 月 31 日 (木) 5 時 51 分 31 秒 (日本時間)

664×10234-79

c189

composite cofactor 合成数の残り
737726686517912695684360711205782886657836907685249456498045696526687979691664710506510133447197933410802617672672890687883788169373943605156193957031099130784382113565484746746246523764257<189>

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 00:02:22 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 22 秒 (日本時間)
4511e61385 / 3356585CypJune 13, 2015 08:09:38 UTC 2015 年 6 月 13 日 (土) 17 時 9 分 38 秒 (日本時間)
800Dmitry DomanovJanuary 8, 2019 15:04:15 UTC 2019 年 1 月 9 日 (水) 0 時 4 分 15 秒 (日本時間)
5043e6300 / 7231Dmitry DomanovJanuary 28, 2019 23:47:07 UTC 2019 年 1 月 29 日 (火) 8 時 47 分 7 秒 (日本時間)

664×10235-79

c233

name 名前Serge Batalov
date 日付January 9, 2015 03:48:18 UTC 2015 年 1 月 9 日 (金) 12 時 48 分 18 秒 (日本時間)
composite number 合成数
73623169122620275199858075818558804288771357926132898690527669671467695616982115335573074321702203151160341061548525873443546330483761877834325693820754193970439854084200955770659393052367805386466198760380977724556209737329386067037<233>
prime factors 素因数
18795854581155889174406726201407<32>
3916989717319502117011271358418849539502355883329772212710038667332356026001192988209661660784500187759584056248252406467205728747061761151392312656720096475559378276684755113450440063148153791016277091<202>
factorization results 素因数分解の結果
Input number is 73623169122620275199858075818558804288771357926132898690527669671467695616982115335573074321702203151160341061548525873443546330483761877834325693820754193970439854084200955770659393052367805386466198760380977724556209737329386067037 (233 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=214388497
Step 1 took 32490ms
Step 2 took 21919ms
********** Factor found in step 2: 18795854581155889174406726201407
Found probable prime factor of 32 digits: 18795854581155889174406726201407
Probable prime cofactor 3916989717319502117011271358418849539502355883329772212710038667332356026001192988209661660784500187759584056248252406467205728747061761151392312656720096475559378276684755113450440063148153791016277091 has 202 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 00:02:22 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 22 秒 (日本時間)
1CypJanuary 9, 2015 01:05:51 UTC 2015 年 1 月 9 日 (金) 10 時 5 分 51 秒 (日本時間)

664×10236-79

c223

composite cofactor 合成数の残り
8032679651687487842183549341547348252182878439256184340946392540681048689275333111058265275976265916070674158361474208460870814480102901123569804011671544683644044931177429741574363288552234515161471537926814952542883985657<223>

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 00:02:23 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 23 秒 (日本時間)
1CypJanuary 9, 2015 01:07:40 UTC 2015 年 1 月 9 日 (金) 10 時 7 分 40 秒 (日本時間)
4511e61385 / 3356585CypJuly 6, 2015 06:04:06 UTC 2015 年 7 月 6 日 (月) 15 時 4 分 6 秒 (日本時間)
800Dmitry DomanovJanuary 9, 2019 09:15:47 UTC 2019 年 1 月 9 日 (水) 18 時 15 分 47 秒 (日本時間)
5043e6300 / 7231Dmitry DomanovFebruary 3, 2019 01:00:09 UTC 2019 年 2 月 3 日 (日) 10 時 0 分 9 秒 (日本時間)

664×10237-79

c197

composite cofactor 合成数の残り
14666908091225012315382319424045734483406103022189334614658392048780398139579605714015980495697692723288418754389479304704865647340807883536497467037939511946209502575402135738738578806412208934657<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)
403e6300Serge BatalovJanuary 9, 2015 00:02:24 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 24 秒 (日本時間)
4511e61385 / 3356585CypJuly 22, 2015 03:31:04 UTC 2015 年 7 月 22 日 (水) 12 時 31 分 4 秒 (日本時間)
800Dmitry DomanovJanuary 8, 2019 15:04:50 UTC 2019 年 1 月 9 日 (水) 0 時 4 分 50 秒 (日本時間)
5043e6300 / 7231Dmitry DomanovJanuary 28, 2019 23:47:33 UTC 2019 年 1 月 29 日 (火) 8 時 47 分 33 秒 (日本時間)

664×10239-79

c228

name 名前Cyp
date 日付January 29, 2015 11:49:51 UTC 2015 年 1 月 29 日 (木) 20 時 49 分 51 秒 (日本時間)
composite number 合成数
645116222051983731583932993922215140480705209927503010788034019088288389992604567241147975929953246341410515253392531210070262774393522079734288131197925322200067114054013892640459337745886664898232674169352143923043429511986931<228>
prime factors 素因数
883725194179716801871564871563431317<36>
8652404137470397912451420706251734037<37>
84369199780100832941597926982486871434966986788042645808890182426338501840827473025736045220036280892914926764755653213321299263904243741945601149253510539<155>
factorization results 素因数分解の結果
Run 126 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2264886886
Step 1 took 79995ms
Step 2 took 23374ms
********** Factor found in step 2: 8652404137470397912451420706251734037
Found probable prime factor of 37 digits: 8652404137470397912451420706251734037
Composite cofactor 74559187458456928691818074616548504502918052803089063899514053382753406349355119694010187352044624377381961815615098826300013609465010882560628316371413252538657786168871596101294478862149863 has 191 digits
--
Run 191 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1334756546
Step 1 took 59190ms
Step 2 took 19417ms
********** Factor found in step 2: 883725194179716801871564871563431317
Found probable prime factor of 36 digits: 883725194179716801871564871563431317
Probable prime cofactor 84369199780100832941597926982486871434966986788042645808890182426338501840827473025736045220036280892914926764755653213321299263904243741945601149253510539 has 155 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 / 1659Serge BatalovJanuary 9, 2015 00:02:24 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 24 秒 (日本時間)
4511e6191 / 4409CypJanuary 29, 2015 11:49:50 UTC 2015 年 1 月 29 日 (木) 20 時 49 分 50 秒 (日本時間)

664×10240-79

c217

composite cofactor 合成数の残り
3000329144661489761006511147467657108442992163353022005624132895583911797228307042343504618874496766233165399195983789164314467651251447227567827102754885318964513977731572341007579332486370011652718165318131278394457<217>

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 00:02:25 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 25 秒 (日本時間)
4511e61385 / 3356585CypFebruary 6, 2015 21:55:24 UTC 2015 年 2 月 7 日 (土) 6 時 55 分 24 秒 (日本時間)
800Dmitry DomanovJanuary 9, 2019 09:16:03 UTC 2019 年 1 月 9 日 (水) 18 時 16 分 3 秒 (日本時間)
5043e6300 / 7231Dmitry DomanovJanuary 31, 2019 00:20:15 UTC 2019 年 1 月 31 日 (木) 9 時 20 分 15 秒 (日本時間)

664×10241-79

c189

composite cofactor 合成数の残り
558556314831016168672016437765049122430777919713344802181179202263531800365818102678188696295448095781001845917068273578112797553448477456249178672324160277602085796867165815427547933298207<189>

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 00:02:25 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 25 秒 (日本時間)
4511e61385 / 3356585CypJuly 22, 2015 01:04:38 UTC 2015 年 7 月 22 日 (水) 10 時 4 分 38 秒 (日本時間)
800Dmitry DomanovJanuary 8, 2019 16:54:36 UTC 2019 年 1 月 9 日 (水) 1 時 54 分 36 秒 (日本時間)
5043e6300 / 7231Dmitry DomanovJanuary 28, 2019 23:43:18 UTC 2019 年 1 月 29 日 (火) 8 時 43 分 18 秒 (日本時間)

664×10243-79

c230

name 名前Dmitry Domanov
date 日付January 12, 2019 23:21:15 UTC 2019 年 1 月 13 日 (日) 8 時 21 分 15 秒 (日本時間)
composite number 合成数
10722251801603282824666709635686170952087595291042948858819854414013399404249083034321482430856198844294426056785072064985111840741794967290537198157851716273887386584777738793023545961198321133133047825149935785182420802699926247<230>
prime factors 素因数
55925176221585625695150568836949242949<38>
composite cofactor 合成数の残り
191724953339794390231240790916905900244940259268379773297806527752458057763772548910663044623953115848456900606794330685559751264028898195117159602298675324511870896646968643515775169840972603<192>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1054647543
Step 1 took 136448ms
Step 2 took 42112ms
********** Factor found in step 2: 55925176221585625695150568836949242949
Found probable prime factor of 38 digits: 55925176221585625695150568836949242949

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 00:02:26 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 26 秒 (日本時間)
4511e61385 / 3356585CypJuly 22, 2015 04:43:22 UTC 2015 年 7 月 22 日 (水) 13 時 43 分 22 秒 (日本時間)
800Dmitry DomanovJanuary 11, 2019 15:39:10 UTC 2019 年 1 月 12 日 (土) 0 時 39 分 10 秒 (日本時間)
5043e6300 / 7231Dmitry DomanovJanuary 29, 2019 12:08:03 UTC 2019 年 1 月 29 日 (火) 21 時 8 分 3 秒 (日本時間)

664×10244-79

c230

composite cofactor 合成数の残り
15934681225289787325579025420295503236183174913107477507927809458190855362570461307298704974225140073014603528828051063823073319973496919892257746467734855935903612544910772966662893422569461585076363386471940698591534028901072621<230>

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 00:02:27 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 27 秒 (日本時間)
4511e61385 / 3356585CypJune 8, 2015 05:55:09 UTC 2015 年 6 月 8 日 (月) 14 時 55 分 9 秒 (日本時間)
800Dmitry DomanovJanuary 11, 2019 15:39:31 UTC 2019 年 1 月 12 日 (土) 0 時 39 分 31 秒 (日本時間)
5043e6300 / 7231Dmitry DomanovFebruary 3, 2019 20:35:53 UTC 2019 年 2 月 4 日 (月) 5 時 35 分 53 秒 (日本時間)

664×10246-79

c235

composite cofactor 合成数の残り
3889181542491550824824948058191561005918751265056809304988472309925781358462404484913965815240168609990722941324750065966779446179204001005334298857496964610890466758398387200668866321316634252638011136812976285044935878281960907404263<235>

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 00:02:27 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 27 秒 (日本時間)
1CypJanuary 9, 2015 00:17:17 UTC 2015 年 1 月 9 日 (金) 9 時 17 分 17 秒 (日本時間)
4511e61385585CypJuly 22, 2015 00:39:10 UTC 2015 年 7 月 22 日 (水) 9 時 39 分 10 秒 (日本時間)
800Dmitry DomanovJanuary 11, 2019 15:39:47 UTC 2019 年 1 月 12 日 (土) 0 時 39 分 47 秒 (日本時間)
5043e6900 / 7231300Dmitry DomanovFebruary 3, 2019 20:36:15 UTC 2019 年 2 月 4 日 (月) 5 時 36 分 15 秒 (日本時間)
600Dmitry DomanovFebruary 22, 2019 16:48:44 UTC 2019 年 2 月 23 日 (土) 1 時 48 分 44 秒 (日本時間)

664×10247-79

c231

name 名前Dmitry Domanov
date 日付February 25, 2019 05:49:13 UTC 2019 年 2 月 25 日 (月) 14 時 49 分 13 秒 (日本時間)
composite number 合成数
437903104512163664206754717715533153509096617075895023804591053917399451024389616786518352709774335634990627318321362249999360242462533691486325718668609369646019455517320468226260443443805218865909560387397608691047099091389308589<231>
prime factors 素因数
44918386662132179347389521437499000545499<41>
9748860924280073960328476829859607169555427176880437871230070790030567801278381898842650261411812437674706423061935140387109435277509742342375969921659360880081415831650108757987371523141911<190>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:378267353
Step 1 took 222413ms
Step 2 took 64925ms
********** Factor found in step 2: 44918386662132179347389521437499000545499
Found prime factor of 41 digits: 44918386662132179347389521437499000545499

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 00:02:28 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 28 秒 (日本時間)
4511e61385585CypJuly 21, 2015 20:25:57 UTC 2015 年 7 月 22 日 (水) 5 時 25 分 57 秒 (日本時間)
800Dmitry DomanovJanuary 11, 2019 15:40:00 UTC 2019 年 1 月 12 日 (土) 0 時 40 分 0 秒 (日本時間)
5043e6900 / 7231300Dmitry DomanovFebruary 3, 2019 20:36:24 UTC 2019 年 2 月 4 日 (月) 5 時 36 分 24 秒 (日本時間)
600Dmitry DomanovFebruary 22, 2019 16:48:29 UTC 2019 年 2 月 23 日 (土) 1 時 48 分 29 秒 (日本時間)

664×10248-79

c235

name 名前Dmitry Domanov
date 日付February 5, 2019 13:31:15 UTC 2019 年 2 月 5 日 (火) 22 時 31 分 15 秒 (日本時間)
composite number 合成数
9039354815663915609457833821273034671266409528055977298426166328659998618097444118460088295291433827361852483127052087217096853495019520487092151672110267774750493317928554663160547070039835117012784702173634719236849870780950128487489<235>
prime factors 素因数
248918206354171848028597211014909233631171<42>
composite cofactor 合成数の残り
36314558698058113294547939680828115698080644424940861262108767065956244853850021482899216290368829547290919342327203110108097226258916707231772834579194845974909431902350224632508648457411180459<194>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=661205465
Step 1 took 653640ms
Step 2 took 152976ms
********** Factor found in step 2: 248918206354171848028597211014909233631171
Found probable prime factor of 42 digits: 248918206354171848028597211014909233631171

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 00:02:28 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 28 秒 (日本時間)
4511e61385 / 3356585CypJune 13, 2015 07:28:24 UTC 2015 年 6 月 13 日 (土) 16 時 28 分 24 秒 (日本時間)
800Dmitry DomanovJanuary 11, 2019 15:40:15 UTC 2019 年 1 月 12 日 (土) 0 時 40 分 15 秒 (日本時間)
5043e6300 / 7231Dmitry DomanovFebruary 3, 2019 20:36:38 UTC 2019 年 2 月 4 日 (月) 5 時 36 分 38 秒 (日本時間)

664×10249-79

c246

composite cofactor 合成数の残り
133333413654666860241080466514337257632886124228588892724232564798733814498281826274192534654137341849804327191361761864515179426814915751957280295550378845609746351252822039852634449378182356334752812100087610494544474625185517180030429737206669<246>

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 00:02:29 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 29 秒 (日本時間)
2100Serge BatalovJanuary 9, 2015 18:41:21 UTC 2015 年 1 月 10 日 (土) 3 時 41 分 21 秒 (日本時間)
4511e639502100Serge BatalovJanuary 9, 2015 20:57:07 UTC 2015 年 1 月 10 日 (土) 5 時 57 分 7 秒 (日本時間)
1850Serge BatalovMarch 18, 2015 21:19:50 UTC 2015 年 3 月 19 日 (木) 6 時 19 分 50 秒 (日本時間)

664×10250-79

c249

name 名前Serge Batalov
date 日付January 8, 2015 22:38:07 UTC 2015 年 1 月 9 日 (金) 7 時 38 分 7 秒 (日本時間)
composite number 合成数
858879834432803000905445608588798344328030009054456085887983443280300090544560858879834432803000905445608588798344328030009054456085887983443280300090544560858879834432803000905445608588798344328030009054456085887983443280300090544560858879834432803<249>
prime factors 素因数
284040004649923906650925686613<30>
3023798832461514297069050565015615556336164546671699883448216910969576230897944082997743611356343702244704983193502732588225087272635575675949274068757027891148730193307182516501893385508529784573085628708535285803860631<220>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3680987852
Step 1 took 7980ms
Step 2 took 3060ms
********** Factor found in step 2: 284040004649923906650925686613
Found probable prime factor of 30 digits: 284040004649923906650925686613
Probable prime cofactor has 220 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 8, 2015 22:27:06 UTC 2015 年 1 月 9 日 (金) 7 時 27 分 6 秒 (日本時間)

664×10251-79

c201

composite cofactor 合成数の残り
138547360640017700467726876534877359726142554912367553176220586071675378239200848746508744816778077345699922214568938275960735448492615164786881119007311604222945835103248288369426049821164111258294019<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e6900 / 2875Dmitry DomanovJanuary 8, 2019 18:14:33 UTC 2019 年 1 月 9 日 (水) 3 時 14 分 33 秒 (日本時間)
5043e6300 / 7257Dmitry DomanovJanuary 31, 2019 23:30:28 UTC 2019 年 2 月 1 日 (金) 8 時 30 分 28 秒 (日本時間)

664×10252-79

c217

name 名前Dmitry Domanov
date 日付February 1, 2019 19:24:02 UTC 2019 年 2 月 2 日 (土) 4 時 24 分 2 秒 (日本時間)
composite number 合成数
1010793985697489195055785321768157870249459000395443800929969166230979507503388702483967482836706586962554232988175363974721173957296491173572759304816042525771033586776773617157287802951983682362159870945475833597821<217>
prime factors 素因数
21410952463162343367281578296879278672448578317<47>
47209202273302207284063703843457794734290714538873521804752321882387302256770312123916539026630506669623088916729688041020371507806486472709969056814239165133333089944113<170>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4153774154
Step 1 took 395968ms
Step 2 took 95646ms
********** Factor found in step 2: 21410952463162343367281578296879278672448578317
Found probable prime factor of 47 digits: 21410952463162343367281578296879278672448578317
Probable prime cofactor 47209202273302207284063703843457794734290714538873521804752321882387302256770312123916539026630506669623088916729688041020371507806486472709969056814239165133333089944113 has 170 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e6900 / 2875Dmitry DomanovJanuary 9, 2019 09:16:37 UTC 2019 年 1 月 9 日 (水) 18 時 16 分 37 秒 (日本時間)
5043e6300 / 7257Dmitry DomanovJanuary 31, 2019 23:31:07 UTC 2019 年 2 月 1 日 (金) 8 時 31 分 7 秒 (日本時間)

664×10253-79

c244

composite cofactor 合成数の残り
7237322921780098501765641888911095405510648191302816029383919994417083145498111797522195527697891171089342562197720768137491281055613172372182131621290488041761247144004471815494124773862015457493778252076533306091163065703470240136096340845341<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 11, 2019 16:08:17 UTC 2019 年 1 月 12 日 (土) 1 時 8 分 17 秒 (日本時間)
5043e6900 / 7257300Dmitry DomanovFebruary 3, 2019 20:47:17 UTC 2019 年 2 月 4 日 (月) 5 時 47 分 17 秒 (日本時間)
600Dmitry DomanovFebruary 22, 2019 16:48:07 UTC 2019 年 2 月 23 日 (土) 1 時 48 分 7 秒 (日本時間)

664×10254-79

c199

composite cofactor 合成数の残り
9271633713468352621236991718169078943811037059161743362993639643653966087705226960615304147478871239587845661667463497548876921173853366748947235233521691158218923541912259402349328785625463061417727<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e6900 / 2875Dmitry DomanovJanuary 8, 2019 16:55:43 UTC 2019 年 1 月 9 日 (水) 1 時 55 分 43 秒 (日本時間)
5043e6300 / 7257Dmitry DomanovJanuary 29, 2019 12:08:38 UTC 2019 年 1 月 29 日 (火) 21 時 8 分 38 秒 (日本時間)

664×10255-79

c246

name 名前Dmitry Domanov
date 日付January 12, 2019 10:36:44 UTC 2019 年 1 月 12 日 (土) 19 時 36 分 44 秒 (日本時間)
composite number 合成数
167344403212980971764329003200381540625862181772935205173831506983554179508203203920442884284582090520017576188425703622465138491918898773658793322865304504620251026447024291112869263181500829303451038081556824757795412108761294726384198497576371<246>
prime factors 素因数
38747145913567414844327634358090384843<38>
composite cofactor 合成数の残り
4318883346563724316459678103527209509407468859194815414385397786027861618786164121840585630957024448645559450393831479763338883567284446624032929750503336937608822833427235449115286283603240568970087003546297<208>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=137501977
Step 1 took 135436ms
Step 2 took 40069ms
********** Factor found in step 2: 38747145913567414844327634358090384843
Found probable prime factor of 38 digits: 38747145913567414844327634358090384843

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 11, 2019 16:07:49 UTC 2019 年 1 月 12 日 (土) 1 時 7 分 49 秒 (日本時間)
5043e6900 / 7257300Dmitry DomanovFebruary 1, 2019 00:42:53 UTC 2019 年 2 月 1 日 (金) 9 時 42 分 53 秒 (日本時間)
600Dmitry DomanovFebruary 22, 2019 16:47:51 UTC 2019 年 2 月 23 日 (土) 1 時 47 分 51 秒 (日本時間)

664×10257-79

c257

composite cofactor 合成数の残り
74523007856341189674523007856341189674523007856341189674523007856341189674523007856341189674523007856341189674523007856341189674523007856341189674523007856341189674523007856341189674523007856341189674523007856341189674523007856341189674523007856341189674523<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovJanuary 12, 2019 22:20:06 UTC 2019 年 1 月 13 日 (日) 7 時 20 分 6 秒 (日本時間)
5043e6550 / 7010Dmitry DomanovFebruary 4, 2019 14:29:38 UTC 2019 年 2 月 4 日 (月) 23 時 29 分 38 秒 (日本時間)

664×10259-79

c212

composite cofactor 合成数の残り
15204503642022013390562560583990363614517549692840425487564876375063829011672736200941481807867686559645488053285372199955610758046330408694532914887586390996460682247577734349558803478915081046105759903662357357<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 9, 2019 11:20:30 UTC 2019 年 1 月 9 日 (水) 20 時 20 分 30 秒 (日本時間)
5043e6900 / 7257300Dmitry DomanovFebruary 1, 2019 00:43:24 UTC 2019 年 2 月 1 日 (金) 9 時 43 分 24 秒 (日本時間)
600Dmitry DomanovFebruary 22, 2019 16:47:30 UTC 2019 年 2 月 23 日 (土) 1 時 47 分 30 秒 (日本時間)

664×10260-79

c232

composite cofactor 合成数の残り
6616813183606386647482806580984631986433143367294195712188490163620782940326160166120653458627344212393993531802793298083492453511638365757523759033377178102328457799630985133297001929820490640698464816017884035256398181827280394947<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 12, 2019 11:48:36 UTC 2019 年 1 月 12 日 (土) 20 時 48 分 36 秒 (日本時間)
5043e6900 / 7257300Dmitry DomanovFebruary 3, 2019 20:37:05 UTC 2019 年 2 月 4 日 (月) 5 時 37 分 5 秒 (日本時間)
600Dmitry DomanovFebruary 22, 2019 16:47:19 UTC 2019 年 2 月 23 日 (土) 1 時 47 分 19 秒 (日本時間)

664×10261-79

c233

composite cofactor 合成数の残り
55318888395476436523093606658805188609291579064443752866055795475248076538300616810740139886405040341289318208859224528512766195956752610553069753480920913640772444789863321820364688511758577275268666842179571827606295464692808853869<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 12, 2019 11:49:29 UTC 2019 年 1 月 12 日 (土) 20 時 49 分 29 秒 (日本時間)
5043e6900 / 7257300Dmitry DomanovFebruary 3, 2019 20:37:20 UTC 2019 年 2 月 4 日 (月) 5 時 37 分 20 秒 (日本時間)
600Dmitry DomanovFebruary 22, 2019 16:47:03 UTC 2019 年 2 月 23 日 (土) 1 時 47 分 3 秒 (日本時間)

664×10262-79

c216

composite cofactor 合成数の残り
467056246739007768883104558107792128145261799771723418404520749741107673232037757579704175710001839304464671644544832752727792935782357383208554975581983109035915493543126805344133923664216766368703387778066483320823<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 9, 2019 11:20:54 UTC 2019 年 1 月 9 日 (水) 20 時 20 分 54 秒 (日本時間)
5043e6900 / 7257300Dmitry DomanovFebruary 1, 2019 11:15:39 UTC 2019 年 2 月 1 日 (金) 20 時 15 分 39 秒 (日本時間)
600Dmitry DomanovFebruary 22, 2019 16:46:48 UTC 2019 年 2 月 23 日 (土) 1 時 46 分 48 秒 (日本時間)

664×10263-79

c233

name 名前Dmitry Domanov
date 日付February 24, 2019 18:41:05 UTC 2019 年 2 月 25 日 (月) 3 時 41 分 5 秒 (日本時間)
composite number 合成数
50926943801491899581872107521369689139133701036410822795871633470786015022244892941380585880673594676678859698332965845258548032463244950613827113989885022668659188438951360203098312384254371174869747342281406399903296927012579748849<233>
prime factors 素因数
10405076288949600682950153629337046824219095360557<50>
composite cofactor 合成数の残り
4894432523822754995123835396220183467291400383726148216170096629380999415082685604238225919226736721252459125713474048473985029286399772632011136878851589298201196350966494214328790357<184>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:1053598477
Step 1 took 250091ms
Step 2 took 67563ms
********** Factor found in step 2: 10405076288949600682950153629337046824219095360557
Found prime factor of 50 digits: 10405076288949600682950153629337046824219095360557

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 13, 2019 00:49:33 UTC 2019 年 1 月 13 日 (日) 9 時 49 分 33 秒 (日本時間)
5043e6900 / 7257600Dmitry DomanovFebruary 22, 2019 16:46:31 UTC 2019 年 2 月 23 日 (土) 1 時 46 分 31 秒 (日本時間)
300Dmitry DomanovFebruary 25, 2019 15:04:56 UTC 2019 年 2 月 26 日 (火) 0 時 4 分 56 秒 (日本時間)

664×10264-79

c200

composite cofactor 合成数の残り
73301196704320562422617285363204411583830175767261293804812819046762131666896099011103427483496107018259035503504120665609852902161377924551833207367980019440992578163310924787463072065887233186607421<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e6900 / 2875Dmitry DomanovJanuary 8, 2019 18:13:53 UTC 2019 年 1 月 9 日 (水) 3 時 13 分 53 秒 (日本時間)
5043e6300 / 7257Dmitry DomanovJanuary 30, 2019 05:32:23 UTC 2019 年 1 月 30 日 (水) 14 時 32 分 23 秒 (日本時間)

664×10266-79

c231

composite cofactor 合成数の残り
204485057686245053805872029247404622060101766163825608830866526173903079665324623437269687144878853706996730794442876101791589518410425459803986272845125790129972219867297413564398653940029729298430058555961374817963576132643134891<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 10, 2019 18:23:30 UTC 2019 年 1 月 11 日 (金) 3 時 23 分 30 秒 (日本時間)
5043e6900 / 7257300Dmitry DomanovFebruary 3, 2019 20:48:57 UTC 2019 年 2 月 4 日 (月) 5 時 48 分 57 秒 (日本時間)
600Dmitry DomanovFebruary 22, 2019 16:46:14 UTC 2019 年 2 月 23 日 (土) 1 時 46 分 14 秒 (日本時間)

664×10267-79

c247

composite cofactor 合成数の残り
2094832873900028699141335000632589120519528813472494449878412663418483053730726526357412561902101816292660884480396884887419929032672964360458691916734349889750878302775183439693397398302119631650736717294032049651217852958097652561182965165903463<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 13, 2019 01:18:05 UTC 2019 年 1 月 13 日 (日) 10 時 18 分 5 秒 (日本時間)
5043e6900 / 7257300Dmitry DomanovFebruary 3, 2019 20:52:43 UTC 2019 年 2 月 4 日 (月) 5 時 52 分 43 秒 (日本時間)
600Dmitry DomanovFebruary 22, 2019 16:46:02 UTC 2019 年 2 月 23 日 (土) 1 時 46 分 2 秒 (日本時間)

664×10268-79

c232

composite cofactor 合成数の残り
3102784652435533881124542942224815358485129814375639582080219566545033683269864430696045549157720339146862259075764822394793869266905150055391952212191872630816809576637509465867314015710971293570656655399013684290222696705678934133<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 13, 2019 00:50:16 UTC 2019 年 1 月 13 日 (日) 9 時 50 分 16 秒 (日本時間)
5043e6900 / 7257300Dmitry DomanovFebruary 3, 2019 20:49:07 UTC 2019 年 2 月 4 日 (月) 5 時 49 分 7 秒 (日本時間)
600Dmitry DomanovFebruary 22, 2019 16:45:50 UTC 2019 年 2 月 23 日 (土) 1 時 45 分 50 秒 (日本時間)

664×10270-79

c239

name 名前Dmitry Domanov
date 日付February 5, 2019 13:32:23 UTC 2019 年 2 月 5 日 (火) 22 時 32 分 23 秒 (日本時間)
composite number 合成数
20245035151259392400292873466756440511232486137930275428887639239813277447022865848455641819641276149053843075346579576278783504098092026341907973125174236138272972992640555861532073268113210941796746992219430297973531922614402948565089119<239>
prime factors 素因数
309806491353959493064068847362639208548617<42>
composite cofactor 合成数の残り
65347356224789606870726347678773358797118238932211776619554878847572836440965532869966078805336901776584382879025106823756067976777820891349214176497701056799431808539597128796542025908128977306407<197>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3460127782
Step 1 took 529505ms
Step 2 took 123416ms
********** Factor found in step 2: 309806491353959493064068847362639208548617
Found probable prime factor of 42 digits: 309806491353959493064068847362639208548617

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e6900 / 2875Dmitry DomanovJanuary 13, 2019 00:50:30 UTC 2019 年 1 月 13 日 (日) 9 時 50 分 30 秒 (日本時間)
5043e6300 / 7257Dmitry DomanovFebruary 3, 2019 20:49:20 UTC 2019 年 2 月 4 日 (月) 5 時 49 分 20 秒 (日本時間)

664×10271-79

c224

composite cofactor 合成数の残り
14305095974189491811250224375857645725997138650681814845413129429259413825475423911360194066867836546888350493725434792594348044274627737301507398069595642382912760464979526509141782893405260808735954876316490545041232844341<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 11, 2019 15:41:13 UTC 2019 年 1 月 12 日 (土) 0 時 41 分 13 秒 (日本時間)
5043e6900 / 7257300Dmitry DomanovFebruary 3, 2019 20:49:32 UTC 2019 年 2 月 4 日 (月) 5 時 49 分 32 秒 (日本時間)
600Dmitry DomanovFebruary 22, 2019 16:45:30 UTC 2019 年 2 月 23 日 (土) 1 時 45 分 30 秒 (日本時間)

664×10272-79

c237

name 名前Dmitry Domanov
date 日付February 24, 2019 18:41:38 UTC 2019 年 2 月 25 日 (月) 3 時 41 分 38 秒 (日本時間)
composite number 合成数
248536322656891267288065602767485558479633739552019573737579600569105548335324014724235470386913797049151817549542282781019743551854227828884018835519037145949807862349406200124660931972536451259963166090555970623280522489610076117278141<237>
prime factors 素因数
13981764065412323061247059271393291588168731712157<50>
composite cofactor 合成数の残り
17775748574653259693651290362096891839193935794614777737166768874713819976511076548407695049146549270174388578048488369859628456754670870868260023554621879026324121680323652162347454289313<188>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:393546447
Step 1 took 251555ms
********** Factor found in step 1: 13981764065412323061247059271393291588168731712157
Found prime factor of 50 digits: 13981764065412323061247059271393291588168731712157

c188

name 名前Dmitry Domanov
date 日付August 18, 2021 08:27:32 UTC 2021 年 8 月 18 日 (水) 17 時 27 分 32 秒 (日本時間)
composite number 合成数
17775748574653259693651290362096891839193935794614777737166768874713819976511076548407695049146549270174388578048488369859628456754670870868260023554621879026324121680323652162347454289313<188>
prime factors 素因数
105189447370326247561007319252181429009241<42>
168987945264819084377218406250911710603981986739644133393338047583603648943404578541605901459576216155640227337667449671278653634743007747320793993<147>
factorization results 素因数分解の結果
Input number is 17775748574653259693651290362096891839193935794614777737166768874713819976511076548407695049146549270174388578048488369859628456754670870868260023554621879026324121680323652162347454289313
 (188 digits)
Using mpz_mod
Using lmax = 8388608 with NTT which takes about 2304MB of memory
Using B1=1000000000-1000000000, B2=205702371522480, polynomial x^1
P = 24249225, l = 8388608, s_1 = 4147200, k = s_2 = 2, m_1 = 17
Probability of finding a factor of n digits:
20      25      30      35      40      45      50      55      60      65
0.7     0.4     0.18    0.069   0.022   0.0064  0.0016  0.00038 8.2e-05 1.6e-05
Step 1 took 0ms
Computing F from factored S_1 took 42198ms
Computing h took 5278ms
Computing DCT-I of h took 14522ms
Multi-point evaluation 1 of 2:
Computing g_i took 17171ms
Computing g*h took 27170ms
Computing gcd of coefficients and N took 5661ms
Step 2 took 112324ms
********** Factor found in step 2: 105189447370326247561007319252181429009241
Found prime factor of 42 digits: 105189447370326247561007319252181429009241
Prime cofactor 168987945264819084377218406250911710603981986739644133393338047583603648943404578541605901459576216155640227337667449671278653634743007747320793993 has 147 digits
software ソフトウェア
ECM/P-1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 13, 2019 00:50:44 UTC 2019 年 1 月 13 日 (日) 9 時 50 分 44 秒 (日本時間)
5043e6900 / 7257300Dmitry DomanovFebruary 3, 2019 20:49:45 UTC 2019 年 2 月 4 日 (月) 5 時 49 分 45 秒 (日本時間)
600Dmitry DomanovFebruary 22, 2019 16:45:04 UTC 2019 年 2 月 23 日 (土) 1 時 45 分 4 秒 (日本時間)

664×10273-79

c255

composite cofactor 合成数の残り
178201988642821291499908639932783880440391024637529500517629713321290912007844363457528493871305918179065108010982809125563974548219803964515906817386902800487283199953623388976464903235715926264437102646805352595756491570405903419146739909348019923227489<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovJanuary 13, 2019 13:32:25 UTC 2019 年 1 月 13 日 (日) 22 時 32 分 25 秒 (日本時間)
5043e6550 / 7010Dmitry DomanovFebruary 5, 2019 22:45:50 UTC 2019 年 2 月 6 日 (水) 7 時 45 分 50 秒 (日本時間)

664×10274-79

c223

composite cofactor 合成数の残り
5493227159103122922346109688353431779206796705767122815739504034516100818266649950656314425998379060862875850932777097086009909862889243777595812679303672414716349687826556461317660604042826135981033017904764854541568202001<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 10, 2019 18:21:17 UTC 2019 年 1 月 11 日 (金) 3 時 21 分 17 秒 (日本時間)
5043e6900 / 7257300Dmitry DomanovFebruary 4, 2019 23:02:23 UTC 2019 年 2 月 5 日 (火) 8 時 2 分 23 秒 (日本時間)
600Dmitry DomanovFebruary 22, 2019 16:44:37 UTC 2019 年 2 月 23 日 (土) 1 時 44 分 37 秒 (日本時間)

664×10275-79

c224

composite cofactor 合成数の残り
35975508822125746519018027051059713688616550831982449427068895461628757431006928928883877035223858558050321336184025267495137591513755902939254044265260073324567277819675267517361967544105611259392319243134559490529691352697<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 10, 2019 16:58:13 UTC 2019 年 1 月 11 日 (金) 1 時 58 分 13 秒 (日本時間)
5043e6900 / 7257300Dmitry DomanovFebruary 5, 2019 09:27:36 UTC 2019 年 2 月 5 日 (火) 18 時 27 分 36 秒 (日本時間)
600Dmitry DomanovFebruary 22, 2019 16:44:49 UTC 2019 年 2 月 23 日 (土) 1 時 44 分 49 秒 (日本時間)

664×10277-79

c270

composite cofactor 合成数の残り
148239006841895298996064522560394244824941661583116339730027781117525580152545650487193335129298463059519731207367563797100584571765324028558047938854940980902861397679709971235041618155755857847427182169735601416187001256577165118812857504355661697041990365014959565161<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovJanuary 13, 2019 14:00:48 UTC 2019 年 1 月 13 日 (日) 23 時 0 分 48 秒 (日本時間)
5043e6600 / 7010Dmitry DomanovFebruary 6, 2019 14:25:10 UTC 2019 年 2 月 6 日 (水) 23 時 25 分 10 秒 (日本時間)

664×10279-79

c226

name 名前Dmitry Domanov
date 日付February 25, 2019 05:46:44 UTC 2019 年 2 月 25 日 (月) 14 時 46 分 44 秒 (日本時間)
composite number 合成数
2249640263759883211240010246793516037960728180391766164933862110352073415876106925200941221206328723439621038830384516671127256985717604447182218622799884527148526715816146182382490316964062175682195527295388263939548012792369<226>
prime factors 素因数
38238048805784303881892172706842134456339333<44>
58832506731347079461136938397537487230155726096589965313468442194814796879634324655117926205517040209752117467345137207278818231233587888022633217201983268912541329620468797022696893<182>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1143519404
Step 1 took 396073ms
Step 2 took 93659ms
********** Factor found in step 2: 38238048805784303881892172706842134456339333
Found probable prime factor of 44 digits: 38238048805784303881892172706842134456339333

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 10, 2019 16:57:33 UTC 2019 年 1 月 11 日 (金) 1 時 57 分 33 秒 (日本時間)
5043e6900 / 7257300Dmitry DomanovFebruary 5, 2019 09:29:00 UTC 2019 年 2 月 5 日 (火) 18 時 29 分 0 秒 (日本時間)
600Dmitry DomanovFebruary 22, 2019 16:44:11 UTC 2019 年 2 月 23 日 (土) 1 時 44 分 11 秒 (日本時間)

664×10280-79

c259

composite cofactor 合成数の残り
9813143538578817487340351616906422391024033260660817510787567162024036397048013966362605378147317071645110221473878250075375126498446496518370811662982970199849876217148237327661968767640471009399867159543923455218463220506903219240321613963228332658951493927<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 13, 2019 23:31:10 UTC 2019 年 1 月 14 日 (月) 8 時 31 分 10 秒 (日本時間)
5043e6900 / 7257300Dmitry DomanovFebruary 5, 2019 22:44:35 UTC 2019 年 2 月 6 日 (水) 7 時 44 分 35 秒 (日本時間)
600Dmitry DomanovFebruary 22, 2019 16:44:23 UTC 2019 年 2 月 23 日 (土) 1 時 44 分 23 秒 (日本時間)

664×10281-79

c281

composite cofactor 合成数の残り
13151119033471974648445236680530798177857001386413151119033471974648445236680530798177857001386413151119033471974648445236680530798177857001386413151119033471974648445236680530798177857001386413151119033471974648445236680530798177857001386413151119033471974648445236680530798177857<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovJanuary 9, 2019 12:28:30 UTC 2019 年 1 月 9 日 (水) 21 時 28 分 30 秒 (日本時間)
5043e61000 / 7010Dmitry DomanovFebruary 7, 2019 11:29:57 UTC 2019 年 2 月 7 日 (木) 20 時 29 分 57 秒 (日本時間)

664×10282-79

c211

composite cofactor 合成数の残り
7099424052958623897842610391223594314481595586462650617883130889547647521176732592213363203668052590015702112497831662401451817571675186825202156669232215077287933373367664966708212936405769932765247053664175959<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 9, 2019 00:21:07 UTC 2019 年 1 月 9 日 (水) 9 時 21 分 7 秒 (日本時間)
5043e6900 / 7257300Dmitry DomanovFebruary 2, 2019 22:01:54 UTC 2019 年 2 月 3 日 (日) 7 時 1 分 54 秒 (日本時間)
600Dmitry DomanovFebruary 22, 2019 16:43:21 UTC 2019 年 2 月 23 日 (土) 1 時 43 分 21 秒 (日本時間)

664×10284-79

c107

name 名前Erik Branger
date 日付December 17, 2018 18:16:46 UTC 2018 年 12 月 18 日 (火) 3 時 16 分 46 秒 (日本時間)
composite number 合成数
50227528195193432907033829895806818517013568427642443934551850648514574227873686480076205101589412319198039<107>
prime factors 素因数
190670791047253436398971370859950621796863<42>
263425393681540230358771490084588112721461619792864592245273706153<66>
factorization results 素因数分解の結果
Number: 73777_284
N = 50227528195193432907033829895806818517013568427642443934551850648514574227873686480076205101589412319198039 (107 digits)
Divisors found:
r1=190670791047253436398971370859950621796863 (pp42)
r2=263425393681540230358771490084588112721461619792864592245273706153 (pp66)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 5.99 hours.
Factorization parameters were as follows:
n: 50227528195193432907033829895806818517013568427642443934551850648514574227873686480076205101589412319198039
deg: 4
Y0: -146852260316618863812510372
Y1: 51224721779039
c0: 87720252314529474898419120812135
c1: 2170249933978546571271480
c2: -233086606077295259
c3: -3201806664
c4: 108
skew: 37915597.54
type: gnfs
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [0, 0)
Total raw relations: 5184723
Relations: 662194 relations
Pruned matrix : 389073 x 389300
Polynomial selection time: 0.00 hours.
Total sieving time: 5.88 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.06 hours.
time per square root: 0.01 hours.
Prototype def-par.txt line would be: gnfs,106,4,59,2000,0.0006,0.25,200,15,15000,2000,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 5.99 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz
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
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

664×10285-79

c227

composite cofactor 合成数の残り
43647823690636796162058761215791376348169180724017644893388141964851699590372526836981648326045648320655551562457235975010871534280501684045947086040403643454632164103108267401006003299881535071379443594157801446838246629638561<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 9, 2019 11:22:12 UTC 2019 年 1 月 9 日 (水) 20 時 22 分 12 秒 (日本時間)
5043e6900 / 7257300Dmitry DomanovFebruary 3, 2019 20:50:33 UTC 2019 年 2 月 4 日 (月) 5 時 50 分 33 秒 (日本時間)
600Dmitry DomanovFebruary 22, 2019 16:43:34 UTC 2019 年 2 月 23 日 (土) 1 時 43 分 34 秒 (日本時間)

664×10288-79

c247

composite cofactor 合成数の残り
5475317873946162914115112435736705444481179384719194770432781463239284717056061774259690587373366160255658724247633888848532825431460685584362467951354092258452187670396075618360452398476296876573615465672189995072399082300740724985644819244045929<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovFebruary 7, 2019 00:27:36 UTC 2019 年 2 月 7 日 (木) 9 時 27 分 36 秒 (日本時間)
5043e6900 / 7257300Dmitry DomanovFebruary 8, 2019 16:40:06 UTC 2019 年 2 月 9 日 (土) 1 時 40 分 6 秒 (日本時間)
600Dmitry DomanovFebruary 22, 2019 16:43:46 UTC 2019 年 2 月 23 日 (土) 1 時 43 分 46 秒 (日本時間)

664×10289-79

c248

composite cofactor 合成数の残り
82920642191135805233771162979273035206589339950758312420108612626876568654614042515098489319735095288838780595125162676396727574200874658111970390239032338517556947452892689823885478604729189470638896204323440666053506183105155519808222800619802899<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovFebruary 7, 2019 00:27:58 UTC 2019 年 2 月 7 日 (木) 9 時 27 分 58 秒 (日本時間)
5043e6900 / 7257300Dmitry DomanovFebruary 8, 2019 16:40:45 UTC 2019 年 2 月 9 日 (土) 1 時 40 分 45 秒 (日本時間)
600Dmitry DomanovFebruary 22, 2019 16:43:56 UTC 2019 年 2 月 23 日 (土) 1 時 43 分 56 秒 (日本時間)

664×10291-79

c280

composite cofactor 合成数の残り
2120255152546420882188351171287296462621487484486478645995641565527637239668390936936748626909314845220563763169414712934186221131977363832778965371822705840946161906151833547889475834750613793865322220782025644529794416917063491734857908999084877834394851661250370021677531600081<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovJanuary 11, 2019 12:47:25 UTC 2019 年 1 月 11 日 (金) 21 時 47 分 25 秒 (日本時間)
5043e6600 / 7010Dmitry DomanovFebruary 7, 2019 22:30:32 UTC 2019 年 2 月 8 日 (金) 7 時 30 分 32 秒 (日本時間)

664×10293-79

c272

composite cofactor 合成数の残り
16888118082492109186760439852799385744933191274665263702759502883116983175406639139834285100934383999482804025696995746225994874336285800784497307389880768073568146171993443931355537402377299419313033059765381235119553918241150147265836971401846447063651995885954814629471<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 9, 2019 23:55:54 UTC 2019 年 1 月 10 日 (木) 8 時 55 分 54 秒 (日本時間)
5043e6900 / 7257300Dmitry DomanovFebruary 7, 2019 20:08:42 UTC 2019 年 2 月 8 日 (金) 5 時 8 分 42 秒 (日本時間)
600Dmitry DomanovFebruary 22, 2019 16:43:04 UTC 2019 年 2 月 23 日 (土) 1 時 43 分 4 秒 (日本時間)

664×10295-79

c296

composite cofactor 合成数の残り
67070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707<296>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovJanuary 7, 2019 00:42:40 UTC 2019 年 1 月 7 日 (月) 9 時 42 分 40 秒 (日本時間)
5043e6600 / 7010Dmitry DomanovJanuary 24, 2019 00:25:17 UTC 2019 年 1 月 24 日 (木) 9 時 25 分 17 秒 (日本時間)

664×10297-79

c214

composite cofactor 合成数の残り
6547411645908611439384835123949754450979957756374078025236448132525674425713090666755873915203723714591925038960097118183742248732445955772527938628749398031492020716732059337992431767109209028687223880014173345307<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 9, 2019 11:21:44 UTC 2019 年 1 月 9 日 (水) 20 時 21 分 44 秒 (日本時間)
5043e6900 / 7257300Dmitry DomanovFebruary 2, 2019 07:06:52 UTC 2019 年 2 月 2 日 (土) 16 時 6 分 52 秒 (日本時間)
600Dmitry DomanovFebruary 22, 2019 16:42:47 UTC 2019 年 2 月 23 日 (土) 1 時 42 分 47 秒 (日本時間)

664×10298-79

c284

composite cofactor 合成数の残り
28318156824795561861415386405396188632723043891388954336046367228758681721242337805445903738405685173286820030951752776562081094773021164360407545202297389244345326782164005087824376382390718140590470696970627791310601209679001981432655736135701405393674050305255343642720604386142253<284>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e6900 / 1823Dmitry DomanovJanuary 9, 2019 23:47:28 UTC 2019 年 1 月 10 日 (木) 8 時 47 分 28 秒 (日本時間)
5043e6600 / 7257Dmitry DomanovFebruary 2, 2019 23:58:51 UTC 2019 年 2 月 3 日 (日) 8 時 58 分 51 秒 (日本時間)

664×10299-79

c203

composite cofactor 合成数の残り
17643013358385754677891536609874392798275377430455245726379682197893631220609925508036809171572184480011016776157453260534995095659654925697491417535087360292443837987379674047541631374434728218381908933<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e640002000Dmitry DomanovDecember 24, 2018 15:43:01 UTC 2018 年 12 月 25 日 (火) 0 時 43 分 1 秒 (日本時間)
2000Serge BatalovDecember 25, 2018 03:21:54 UTC 2018 年 12 月 25 日 (火) 12 時 21 分 54 秒 (日本時間)
5043e60--
5511e7178802880Erik BrangerMay 3, 2019 14:37:25 UTC 2019 年 5 月 3 日 (金) 23 時 37 分 25 秒 (日本時間)
15000SyjApril 22, 2022 10:31:05 UTC 2022 年 4 月 22 日 (金) 19 時 31 分 5 秒 (日本時間)

664×10300-79

c267

composite cofactor 合成数の残り
909098999307094016792442879605413826136357791843487602729740351901473771317334753281971063908826927865764455517275553194704581047223938376445404416433245813280828167860142825210270766900162503356918611270934765988881494480715688601807264635470868752630823251886664941<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62100Dmitry DomanovDecember 19, 2018 22:46:05 UTC 2018 年 12 月 20 日 (木) 7 時 46 分 5 秒 (日本時間)
5043e6520 / 6985Dmitry DomanovDecember 27, 2018 14:47:03 UTC 2018 年 12 月 27 日 (木) 23 時 47 分 3 秒 (日本時間)
5511e71 / 17433Dmitry DomanovDecember 27, 2018 14:47:03 UTC 2018 年 12 月 27 日 (木) 23 時 47 分 3 秒 (日本時間)