Table of contents 目次

682×10113-79

c97

name 名前KTakahashi
date 日付January 8, 2015 13:45:50 UTC 2015 年 1 月 8 日 (木) 22 時 45 分 50 秒 (日本時間)
composite number 合成数
1262126214826303421467188141103856211860495085421568187182622733209921654181723977561567075729257<97>
prime factors 素因数
51580269458788850985175381796948813<35>
24469166758322305760984861251690078405121702467664358823157389<62>
factorization results 素因数分解の結果
Number: 75777_113
N=1262126214826303421467188141103856211860495085421568187182622733209921654181723977561567075729257
  ( 97 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=51580269458788850985175381796948813 (pp35)
 r2=24469166758322305760984861251690078405121702467664358823157389 (pp62)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.80 hours.
Scaled time: 3.14 units (timescale=1.747).
Factorization parameters were as follows:
n: 1262126214826303421467188141103856211860495085421568187182622733209921654181723977561567075729257
m: 100000000000000000000000
c5: 341
c0: -350
skew: 1.01
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, 600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 102256 x 102482
Total sieving time: 1.74 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: 1.80 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)

682×10116-79

c111

name 名前KTakahashi
date 日付January 8, 2015 13:55:35 UTC 2015 年 1 月 8 日 (木) 22 時 55 分 35 秒 (日本時間)
composite number 合成数
503006195878386407161787466001630521873132234553913269827842294222765114891814836102843407732448732771401657963<111>
prime factors 素因数
642360262912636468219153674319075205618212541094613<51>
783059328106037025610762915634301830292760424312744640037951<60>
factorization results 素因数分解の結果
Number: 75777_116
N=503006195878386407161787466001630521873132234553913269827842294222765114891814836102843407732448732771401657963
  ( 111 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=642360262912636468219153674319075205618212541094613 (pp51)
 r2=783059328106037025610762915634301830292760424312744640037951 (pp60)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.32 hours.
Scaled time: 3.92 units (timescale=1.687).
Factorization parameters were as follows:
n: 503006195878386407161787466001630521873132234553913269827842294222765114891814836102843407732448732771401657963
m: 200000000000000000000000
c5: 1705
c0: -56
skew: 0.51
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, 750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 112474 x 112701
Total sieving time: 2.26 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,119.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.32 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)

682×10121-79

c119

name 名前KTakahashi
date 日付January 8, 2015 14:11:54 UTC 2015 年 1 月 8 日 (木) 23 時 11 分 54 秒 (日本時間)
composite number 合成数
35064447632121501910035527174946914894163980277533560583859042977084715088509452490758307240654193594825680337688111507<119>
prime factors 素因数
114860465319609197528160423096138865573<39>
305278648615532228635362129503666989956427866600495363502140170643213262079199959<81>
factorization results 素因数分解の結果
Number: 75777_121
N=35064447632121501910035527174946914894163980277533560583859042977084715088509452490758307240654193594825680337688111507
  ( 119 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=114860465319609197528160423096138865573 (pp39)
 r2=305278648615532228635362129503666989956427866600495363502140170643213262079199959 (pp81)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.97 hours.
Scaled time: 5.38 units (timescale=1.815).
Factorization parameters were as follows:
n: 35064447632121501910035527174946914894163980277533560583859042977084715088509452490758307240654193594825680337688111507
m: 2000000000000000000000000
c5: 1705
c0: -56
skew: 0.51
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, 600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 130259 x 130484
Total sieving time: 2.88 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,124.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.97 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 14:11:31 UTC 2015 年 1 月 8 日 (木) 23 時 11 分 31 秒 (日本時間)

682×10124-79

c126

name 名前KTakahashi
date 日付January 8, 2015 14:31:36 UTC 2015 年 1 月 8 日 (木) 23 時 31 分 36 秒 (日本時間)
composite number 合成数
757777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<126>
prime factors 素因数
3623017234538586973011419360591280100857007<43>
209156547905377362540004594309935390482110768236337822730778790099416189020918950111<84>
factorization results 素因数分解の結果
Number: 75777_124
N=757777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
  ( 126 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=3623017234538586973011419360591280100857007 (pp43)
 r2=209156547905377362540004594309935390482110768236337822730778790099416189020918950111 (pp84)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.59 hours.
Scaled time: 4.46 units (timescale=1.719).
Factorization parameters were as follows:
n: 757777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
m: 10000000000000000000000000
c5: 341
c0: -35
skew: 0.63
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 : 114431 x 114659
Total sieving time: 2.54 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,127.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 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 14:31:02 UTC 2015 年 1 月 8 日 (木) 23 時 31 分 2 秒 (日本時間)

682×10126-79

c120

name 名前KTakahashi
date 日付January 8, 2015 14:37:51 UTC 2015 年 1 月 8 日 (木) 23 時 37 分 51 秒 (日本時間)
composite number 合成数
803576844488313141868566261999860443916986972455792966678586821890471531127578285878945241671028810514531066528832736023<120>
prime factors 素因数
8964854292934920110156040096634188148650146521330224151<55>
89636353055018544722643287209278109542364486345764887322085923073<65>
factorization results 素因数分解の結果
Number: 75777_126
N=803576844488313141868566261999860443916986972455792966678586821890471531127578285878945241671028810514531066528832736023
  ( 120 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=8964854292934920110156040096634188148650146521330224151 (pp55)
 r2=89636353055018544722643287209278109542364486345764887322085923073 (pp65)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 4.43 hours.
Scaled time: 7.49 units (timescale=1.691).
Factorization parameters were as follows:
n: 803576844488313141868566261999860443916986972455792966678586821890471531127578285878945241671028810514531066528832736023
m: 20000000000000000000000000
c5: 1705
c0: -56
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, 1150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 122329 x 122554
Total sieving time: 4.36 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 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: 4.43 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 14:37:19 UTC 2015 年 1 月 8 日 (木) 23 時 37 分 19 秒 (日本時間)

682×10136-79

c126

name 名前KTakahashi
date 日付January 8, 2015 16:29:09 UTC 2015 年 1 月 9 日 (金) 1 時 29 分 9 秒 (日本時間)
composite number 合成数
111442248606237781883621801442048099268759809508631125526478972674760326417490629346959233106902882548487809434068685227585397<126>
prime factors 素因数
1114600941233476370753411877568747<34>
1435522590263731036940525514896632097<37>
69649889176125735506598375279076665538964902731622750783<56>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [P-1]
Input number is 111442248606237781883621801442048099268759809508631125526478972674760326417490629346959233106902882548487809434068685227585397 (126 digits)
Using B1=6000000, B2=33653968, polynomial x^1, x0=2270268000
Step 1 took 1591ms
Step 2 took 78ms
********** Factor found in step 2: 1114600941233476370753411877568747
Found probable prime factor of 34 digits: 1114600941233476370753411877568747
Composite cofactor 99983989321693819495299386341698302175105029078281011136699309010759628867930912709469681951 has 92 digits

GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 99983989321693819495299386341698302175105029078281011136699309010759628867930912709469681951 (92 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1701790597
Step 1 took 2106ms
Step 2 took 1498ms
********** Factor found in step 2: 1435522590263731036940525514896632097
Found probable prime factor of 37 digits: 1435522590263731036940525514896632097
Probable prime cofactor 69649889176125735506598375279076665538964902731622750783 has 56 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)

682×10138-79

c120

name 名前Jo Yeong Uk
date 日付January 11, 2015 14:32:12 UTC 2015 年 1 月 11 日 (日) 23 時 32 分 12 秒 (日本時間)
composite number 合成数
713558945649925640026811597998209358692525877160235478896972490650777918760319804779341230803916249686044017575759716259<120>
prime factors 素因数
131512075637730491677333343682897695838941697340057891<54>
5425805517780203980716248981431551258264087520008385064662187595649<67>
factorization results 素因数分解の結果
Number: 75777_138
N=713558945649925640026811597998209358692525877160235478896972490650777918760319804779341230803916249686044017575759716259
  ( 120 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=131512075637730491677333343682897695838941697340057891
 r2=5425805517780203980716248981431551258264087520008385064662187595649
Version: 
Total time: 2.54 hours.
Scaled time: 12.87 units (timescale=5.075).
Factorization parameters were as follows:
n: 713558945649925640026811597998209358692525877160235478896972490650777918760319804779341230803916249686044017575759716259
m: 2000000000000000000000000000
deg: 5
c5: 42625
c0: -14
skew: 0.20
# Murphy_E = 2.11e-09
type: snfs
lss: 1
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [900000, 1900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4129117
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 292275 x 292523
Total sieving time: 2.20 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,48,48,2.3,2.3,50000
total time: 2.54 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 16:29:28 UTC 2015 年 1 月 9 日 (金) 1 時 29 分 28 秒 (日本時間)

682×10142-79

c131

name 名前Jo Yeong Uk
date 日付January 16, 2015 23:39:29 UTC 2015 年 1 月 17 日 (土) 8 時 39 分 29 秒 (日本時間)
composite number 合成数
13482869882024775838008576569516280173378129251588449691718658600660502451113810749652069749055188944425442500255369013017214613811<131>
prime factors 素因数
2379895225536318058160179995771689422888114449249079<52>
5665320782761082264427687984647410561272309826943721341705796716185282929319909<79>
factorization results 素因数分解の結果
Number: 75777_142
N=13482869882024775838008576569516280173378129251588449691718658600660502451113810749652069749055188944425442500255369013017214613811
  ( 131 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=2379895225536318058160179995771689422888114449249079
 r2=5665320782761082264427687984647410561272309826943721341705796716185282929319909
Version: 
Total time: 3.87 hours.
Scaled time: 20.33 units (timescale=5.256).
Factorization parameters were as follows:
n: 13482869882024775838008576569516280173378129251588449691718658600660502451113810749652069749055188944425442500255369013017214613811
m: 20000000000000000000000000000
deg: 5
c5: 8525
c0: -28
skew: 0.32
# Murphy_E = 1.604e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 2550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4756906
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 355228 x 355476
Total sieving time: 3.36 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,50000
total time: 3.87 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 16:29:43 UTC 2015 年 1 月 9 日 (金) 1 時 29 分 43 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:03:04 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 4 秒 (日本時間)

682×10144-79

c133

name 名前Cyp
date 日付January 16, 2015 11:47:57 UTC 2015 年 1 月 16 日 (金) 20 時 47 分 57 秒 (日本時間)
composite number 合成数
8896989363060341316173896407570838324470792506669532125216650401708951661525830865711810867395256639668957202669349860058708461819669<133>
prime factors 素因数
257687537689537019659046489444348532484425761264297424463497541<63>
34526269461193229426371381414222680183136220703502539765693292880849809<71>
factorization results 素因数分解の結果
01/16/15 11:43:47 v1.34.3, 
01/16/15 11:43:47 v1.34.3, ****************************
01/16/15 11:43:47 v1.34.3, Starting factorization of 8896989363060341316173896407570838324470792506669532125216650401708951661525830865711810867395256639668957202669349860058708461819669
01/16/15 11:43:47 v1.34.3, using pretesting plan: none
01/16/15 11:43:47 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/16/15 11:43:47 v1.34.3, ****************************
01/16/15 11:43:47 v1.34.3, nfs: commencing nfs on c133: 8896989363060341316173896407570838324470792506669532125216650401708951661525830865711810867395256639668957202669349860058708461819669
01/16/15 11:43:47 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/16/15 11:43:47 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 11:44:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
[71 lines snipped]
01/16/15 12:42:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 12:42:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 12:43:42 v1.34.3, nfs: commencing msieve filtering
01/16/15 12:44:31 v1.34.3, nfs: commencing msieve linear algebra
01/16/15 12:47:30 v1.34.3, nfs: commencing msieve sqrt
01/16/15 12:47:56 v1.34.3, prp71 = 34526269461193229426371381414222680183136220703502539765693292880849809
01/16/15 12:47:56 v1.34.3, prp63 = 257687537689537019659046489444348532484425761264297424463497541
01/16/15 12:47:56 v1.34.3, NFS elapsed time = 3849.0396 seconds.
01/16/15 12:47:56 v1.34.3, 
01/16/15 12:47:56 v1.34.3, 
01/16/15 12:47:56 v1.34.3, Total factoring time = 3849.0403 seconds
--
Fri Jan 16 12:43:42 2015  
Fri Jan 16 12:43:42 2015  commencing relation filtering
Fri Jan 16 12:43:42 2015  estimated available RAM is 15987.3 MB
Fri Jan 16 12:43:42 2015  commencing duplicate removal, pass 1
Fri Jan 16 12:43:53 2015  found 680138 hash collisions in 4512837 relations
Fri Jan 16 12:43:57 2015  added 183627 free relations
Fri Jan 16 12:43:57 2015  commencing duplicate removal, pass 2
Fri Jan 16 12:44:01 2015  found 534293 duplicates and 4162171 unique relations
Fri Jan 16 12:44:01 2015  memory use: 20.6 MB
Fri Jan 16 12:44:01 2015  reading ideals above 100000
Fri Jan 16 12:44:01 2015  commencing singleton removal, initial pass
Fri Jan 16 12:44:18 2015  memory use: 94.1 MB
Fri Jan 16 12:44:18 2015  reading all ideals from disk
Fri Jan 16 12:44:18 2015  memory use: 135.9 MB
Fri Jan 16 12:44:18 2015  keeping 4746141 ideals with weight <= 200, target excess is 21672
Fri Jan 16 12:44:19 2015  commencing in-memory singleton removal
Fri Jan 16 12:44:19 2015  begin with 4162171 relations and 4746141 unique ideals
Fri Jan 16 12:44:20 2015  reduce to 1562834 relations and 1471128 ideals in 15 passes
Fri Jan 16 12:44:20 2015  max relations containing the same ideal: 104
Fri Jan 16 12:44:20 2015  removing 224553 relations and 191270 ideals in 33283 cliques
Fri Jan 16 12:44:20 2015  commencing in-memory singleton removal
Fri Jan 16 12:44:20 2015  begin with 1338281 relations and 1471128 unique ideals
Fri Jan 16 12:44:20 2015  reduce to 1312780 relations and 1253671 ideals in 8 passes
Fri Jan 16 12:44:20 2015  max relations containing the same ideal: 92
Fri Jan 16 12:44:21 2015  removing 173143 relations and 139860 ideals in 33283 cliques
Fri Jan 16 12:44:21 2015  commencing in-memory singleton removal
Fri Jan 16 12:44:21 2015  begin with 1139637 relations and 1253671 unique ideals
Fri Jan 16 12:44:21 2015  reduce to 1122094 relations and 1095826 ideals in 11 passes
Fri Jan 16 12:44:21 2015  max relations containing the same ideal: 80
Fri Jan 16 12:44:21 2015  relations with 0 large ideals: 484
Fri Jan 16 12:44:21 2015  relations with 1 large ideals: 110
Fri Jan 16 12:44:21 2015  relations with 2 large ideals: 1955
Fri Jan 16 12:44:21 2015  relations with 3 large ideals: 16841
Fri Jan 16 12:44:21 2015  relations with 4 large ideals: 78813
Fri Jan 16 12:44:21 2015  relations with 5 large ideals: 206453
Fri Jan 16 12:44:21 2015  relations with 6 large ideals: 331562
Fri Jan 16 12:44:21 2015  relations with 7+ large ideals: 485876
Fri Jan 16 12:44:21 2015  commencing 2-way merge
Fri Jan 16 12:44:22 2015  reduce to 679411 relation sets and 653143 unique ideals
Fri Jan 16 12:44:22 2015  commencing full merge
Fri Jan 16 12:44:29 2015  memory use: 85.9 MB
Fri Jan 16 12:44:29 2015  found 339027 cycles, need 335343
Fri Jan 16 12:44:29 2015  weight of 335343 cycles is about 23834854 (71.08/cycle)
Fri Jan 16 12:44:29 2015  distribution of cycle lengths:
Fri Jan 16 12:44:29 2015  1 relations: 32909
Fri Jan 16 12:44:29 2015  2 relations: 35082
Fri Jan 16 12:44:29 2015  3 relations: 35691
Fri Jan 16 12:44:29 2015  4 relations: 32917
Fri Jan 16 12:44:29 2015  5 relations: 30055
Fri Jan 16 12:44:29 2015  6 relations: 27071
Fri Jan 16 12:44:29 2015  7 relations: 23775
Fri Jan 16 12:44:29 2015  8 relations: 21015
Fri Jan 16 12:44:29 2015  9 relations: 18288
Fri Jan 16 12:44:29 2015  10+ relations: 78540
Fri Jan 16 12:44:29 2015  heaviest cycle: 24 relations
Fri Jan 16 12:44:29 2015  commencing cycle optimization
Fri Jan 16 12:44:29 2015  start with 2188981 relations
Fri Jan 16 12:44:31 2015  pruned 60821 relations
Fri Jan 16 12:44:31 2015  memory use: 68.1 MB
Fri Jan 16 12:44:31 2015  distribution of cycle lengths:
Fri Jan 16 12:44:31 2015  1 relations: 32909
Fri Jan 16 12:44:31 2015  2 relations: 35795
Fri Jan 16 12:44:31 2015  3 relations: 36909
Fri Jan 16 12:44:31 2015  4 relations: 33775
Fri Jan 16 12:44:31 2015  5 relations: 30953
Fri Jan 16 12:44:31 2015  6 relations: 27584
Fri Jan 16 12:44:31 2015  7 relations: 24395
Fri Jan 16 12:44:31 2015  8 relations: 21134
Fri Jan 16 12:44:31 2015  9 relations: 18275
Fri Jan 16 12:44:31 2015  10+ relations: 73614
Fri Jan 16 12:44:31 2015  heaviest cycle: 23 relations
Fri Jan 16 12:44:31 2015  RelProcTime: 49
Fri Jan 16 12:44:31 2015  
Fri Jan 16 12:44:31 2015  commencing linear algebra
Fri Jan 16 12:44:31 2015  read 335343 cycles
Fri Jan 16 12:44:32 2015  cycles contain 1095454 unique relations
Fri Jan 16 12:44:37 2015  read 1095454 relations
Fri Jan 16 12:44:37 2015  using 20 quadratic characters above 67106312
Fri Jan 16 12:44:40 2015  building initial matrix
Fri Jan 16 12:44:46 2015  memory use: 134.9 MB
Fri Jan 16 12:44:46 2015  read 335343 cycles
Fri Jan 16 12:44:46 2015  matrix is 335176 x 335343 (100.8 MB) with weight 30456819 (90.82/col)
Fri Jan 16 12:44:46 2015  sparse part has weight 22743577 (67.82/col)
Fri Jan 16 12:44:47 2015  filtering completed in 2 passes
Fri Jan 16 12:44:47 2015  matrix is 335034 x 335209 (100.8 MB) with weight 30451778 (90.84/col)
Fri Jan 16 12:44:47 2015  sparse part has weight 22741659 (67.84/col)
Fri Jan 16 12:44:48 2015  matrix starts at (0, 0)
Fri Jan 16 12:44:48 2015  matrix is 335034 x 335209 (100.8 MB) with weight 30451778 (90.84/col)
Fri Jan 16 12:44:48 2015  sparse part has weight 22741659 (67.84/col)
Fri Jan 16 12:44:48 2015  saving the first 48 matrix rows for later
Fri Jan 16 12:44:48 2015  matrix includes 64 packed rows
Fri Jan 16 12:44:48 2015  matrix is 334986 x 335209 (95.4 MB) with weight 24040101 (71.72/col)
Fri Jan 16 12:44:48 2015  sparse part has weight 21659290 (64.61/col)
Fri Jan 16 12:44:48 2015  using block size 65536 for processor cache size 8192 kB
Fri Jan 16 12:44:48 2015  commencing Lanczos iteration (8 threads)
Fri Jan 16 12:44:48 2015  memory use: 91.5 MB
Fri Jan 16 12:44:54 2015  linear algebra at 3.6%, ETA 0h 2m
Fri Jan 16 12:47:30 2015  lanczos halted after 5298 iterations (dim = 334984)
Fri Jan 16 12:47:30 2015  recovered 35 nontrivial dependencies
Fri Jan 16 12:47:30 2015  BLanczosTime: 179
Fri Jan 16 12:47:30 2015  
Fri Jan 16 12:47:30 2015  commencing square root phase
Fri Jan 16 12:47:30 2015  reading relations for dependency 1
Fri Jan 16 12:47:30 2015  read 167959 cycles
Fri Jan 16 12:47:31 2015  cycles contain 548372 unique relations
Fri Jan 16 12:47:34 2015  read 548372 relations
Fri Jan 16 12:47:35 2015  multiplying 548372 relations
Fri Jan 16 12:47:44 2015  multiply complete, coefficients have about 15.49 million bits
Fri Jan 16 12:47:44 2015  initial square root is modulo 789293381
Fri Jan 16 12:47:56 2015  sqrtTime: 26
--
n: 8896989363060341316173896407570838324470792506669532125216650401708951661525830865711810867395256639668957202669349860058708461819669
m: 100000000000000000000000000000
deg: 5
c5: 341
c0: -35
skew: 0.63
# Murphy_E = 1.557e-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 16:29:58 UTC 2015 年 1 月 9 日 (金) 1 時 29 分 58 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:03:05 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 5 秒 (日本時間)

682×10147-79

c133

name 名前Cyp
date 日付January 16, 2015 10:43:45 UTC 2015 年 1 月 16 日 (金) 19 時 43 分 45 秒 (日本時間)
composite number 合成数
2203405744578946369838367966173559996580064991975745166299572242250701717322739427917740908021593704076030316187272266983770271038501<133>
prime factors 素因数
3737212224853951997605844894872498768109698752891899092633255951<64>
589585394676122290318041854581159152783436363223812790837041901735051<69>
factorization results 素因数分解の結果
01/16/15 10:13:57 v1.34.3, 
01/16/15 10:13:57 v1.34.3, ****************************
01/16/15 10:13:57 v1.34.3, Starting factorization of 2203405744578946369838367966173559996580064991975745166299572242250701717322739427917740908021593704076030316187272266983770271038501
01/16/15 10:13:57 v1.34.3, using pretesting plan: none
01/16/15 10:13:57 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/16/15 10:13:57 v1.34.3, ****************************
01/16/15 10:13:57 v1.34.3, nfs: commencing nfs on c133: 2203405744578946369838367966173559996580064991975745166299572242250701717322739427917740908021593704076030316187272266983770271038501
01/16/15 10:13:57 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/16/15 10:13:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 10:14:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
[92 lines snipped]
01/16/15 11:30:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 11:30:53 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 11:31:42 v1.34.3, nfs: commencing msieve filtering
01/16/15 11:32:20 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 11:33:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
[2 lines snipped]
01/16/15 11:35:33 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 11:36:21 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 11:37:09 v1.34.3, nfs: commencing msieve filtering
01/16/15 11:38:07 v1.34.3, nfs: commencing msieve linear algebra
01/16/15 11:43:01 v1.34.3, nfs: commencing msieve sqrt
01/16/15 11:43:44 v1.34.3, prp64 = 3737212224853951997605844894872498768109698752891899092633255951
01/16/15 11:43:45 v1.34.3, prp69 = 589585394676122290318041854581159152783436363223812790837041901735051
01/16/15 11:43:45 v1.34.3, NFS elapsed time = 5387.8060 seconds.
01/16/15 11:43:45 v1.34.3, 
01/16/15 11:43:45 v1.34.3, 
01/16/15 11:43:45 v1.34.3, Total factoring time = 5387.8066 seconds
--
Fri Jan 16 11:31:42 2015  
Fri Jan 16 11:31:42 2015  commencing relation filtering
Fri Jan 16 11:31:42 2015  estimated available RAM is 15987.3 MB
Fri Jan 16 11:31:42 2015  commencing duplicate removal, pass 1
Fri Jan 16 11:31:54 2015  found 712873 hash collisions in 4485013 relations
Fri Jan 16 11:31:58 2015  added 185000 free relations
Fri Jan 16 11:31:58 2015  commencing duplicate removal, pass 2
Fri Jan 16 11:32:02 2015  found 582461 duplicates and 4087552 unique relations
Fri Jan 16 11:32:02 2015  memory use: 20.6 MB
Fri Jan 16 11:32:02 2015  reading ideals above 100000
Fri Jan 16 11:32:02 2015  commencing singleton removal, initial pass
Fri Jan 16 11:32:19 2015  memory use: 94.1 MB
Fri Jan 16 11:32:19 2015  reading all ideals from disk
Fri Jan 16 11:32:19 2015  memory use: 135.3 MB
Fri Jan 16 11:32:19 2015  keeping 4835001 ideals with weight <= 200, target excess is 21264
Fri Jan 16 11:32:19 2015  commencing in-memory singleton removal
Fri Jan 16 11:32:19 2015  begin with 4087552 relations and 4835001 unique ideals
Fri Jan 16 11:32:20 2015  reduce to 1341119 relations and 1373117 ideals in 16 passes
Fri Jan 16 11:32:20 2015  max relations containing the same ideal: 92
Fri Jan 16 11:37:09 2015  
Fri Jan 16 11:37:09 2015  commencing relation filtering
Fri Jan 16 11:37:09 2015  estimated available RAM is 15987.3 MB
Fri Jan 16 11:37:09 2015  commencing duplicate removal, pass 1
Fri Jan 16 11:37:24 2015  found 794946 hash collisions in 4925658 relations
Fri Jan 16 11:37:28 2015  added 1328 free relations
Fri Jan 16 11:37:28 2015  commencing duplicate removal, pass 2
Fri Jan 16 11:37:31 2015  found 636548 duplicates and 4290438 unique relations
Fri Jan 16 11:37:31 2015  memory use: 20.6 MB
Fri Jan 16 11:37:31 2015  reading ideals above 100000
Fri Jan 16 11:37:31 2015  commencing singleton removal, initial pass
Fri Jan 16 11:37:50 2015  memory use: 94.1 MB
Fri Jan 16 11:37:50 2015  reading all ideals from disk
Fri Jan 16 11:37:50 2015  memory use: 142.0 MB
Fri Jan 16 11:37:50 2015  keeping 4935191 ideals with weight <= 200, target excess is 22244
Fri Jan 16 11:37:51 2015  commencing in-memory singleton removal
Fri Jan 16 11:37:51 2015  begin with 4290438 relations and 4935191 unique ideals
Fri Jan 16 11:37:52 2015  reduce to 1571740 relations and 1536459 ideals in 18 passes
Fri Jan 16 11:37:52 2015  max relations containing the same ideal: 101
Fri Jan 16 11:37:52 2015  relations with 0 large ideals: 509
Fri Jan 16 11:37:52 2015  relations with 1 large ideals: 106
Fri Jan 16 11:37:52 2015  relations with 2 large ideals: 1797
Fri Jan 16 11:37:52 2015  relations with 3 large ideals: 17166
Fri Jan 16 11:37:52 2015  relations with 4 large ideals: 86455
Fri Jan 16 11:37:52 2015  relations with 5 large ideals: 250697
Fri Jan 16 11:37:52 2015  relations with 6 large ideals: 450432
Fri Jan 16 11:37:52 2015  relations with 7+ large ideals: 764578
Fri Jan 16 11:37:52 2015  commencing 2-way merge
Fri Jan 16 11:37:53 2015  reduce to 919851 relation sets and 884644 unique ideals
Fri Jan 16 11:37:53 2015  ignored 74 oversize relation sets
Fri Jan 16 11:37:53 2015  commencing full merge
Fri Jan 16 11:38:04 2015  memory use: 109.7 MB
Fri Jan 16 11:38:04 2015  found 435898 cycles, need 430844
Fri Jan 16 11:38:04 2015  weight of 430844 cycles is about 30468244 (70.72/cycle)
Fri Jan 16 11:38:04 2015  distribution of cycle lengths:
Fri Jan 16 11:38:04 2015  1 relations: 51884
Fri Jan 16 11:38:04 2015  2 relations: 49911
Fri Jan 16 11:38:04 2015  3 relations: 47644
Fri Jan 16 11:38:04 2015  4 relations: 42948
Fri Jan 16 11:38:04 2015  5 relations: 37841
Fri Jan 16 11:38:04 2015  6 relations: 32714
Fri Jan 16 11:38:04 2015  7 relations: 27992
Fri Jan 16 11:38:04 2015  8 relations: 23527
Fri Jan 16 11:38:04 2015  9 relations: 19798
Fri Jan 16 11:38:04 2015  10+ relations: 96585
Fri Jan 16 11:38:04 2015  heaviest cycle: 27 relations
Fri Jan 16 11:38:04 2015  commencing cycle optimization
Fri Jan 16 11:38:04 2015  start with 2778099 relations
Fri Jan 16 11:38:07 2015  pruned 75054 relations
Fri Jan 16 11:38:07 2015  memory use: 88.0 MB
Fri Jan 16 11:38:07 2015  distribution of cycle lengths:
Fri Jan 16 11:38:07 2015  1 relations: 51884
Fri Jan 16 11:38:07 2015  2 relations: 51031
Fri Jan 16 11:38:07 2015  3 relations: 49252
Fri Jan 16 11:38:07 2015  4 relations: 44075
Fri Jan 16 11:38:07 2015  5 relations: 38859
Fri Jan 16 11:38:07 2015  6 relations: 33131
Fri Jan 16 11:38:07 2015  7 relations: 28360
Fri Jan 16 11:38:07 2015  8 relations: 23460
Fri Jan 16 11:38:07 2015  9 relations: 19757
Fri Jan 16 11:38:07 2015  10+ relations: 91035
Fri Jan 16 11:38:07 2015  heaviest cycle: 27 relations
Fri Jan 16 11:38:07 2015  RelProcTime: 58
Fri Jan 16 11:38:07 2015  
Fri Jan 16 11:38:07 2015  commencing linear algebra
Fri Jan 16 11:38:07 2015  read 430844 cycles
Fri Jan 16 11:38:08 2015  cycles contain 1440395 unique relations
Fri Jan 16 11:38:14 2015  read 1440395 relations
Fri Jan 16 11:38:15 2015  using 20 quadratic characters above 67108820
Fri Jan 16 11:38:19 2015  building initial matrix
Fri Jan 16 11:38:26 2015  memory use: 174.0 MB
Fri Jan 16 11:38:26 2015  read 430844 cycles
Fri Jan 16 11:38:26 2015  matrix is 430657 x 430844 (129.3 MB) with weight 38682671 (89.78/col)
Fri Jan 16 11:38:26 2015  sparse part has weight 29145831 (67.65/col)
Fri Jan 16 11:38:28 2015  filtering completed in 2 passes
Fri Jan 16 11:38:28 2015  matrix is 429788 x 429974 (129.1 MB) with weight 38635037 (89.85/col)
Fri Jan 16 11:38:28 2015  sparse part has weight 29120001 (67.73/col)
Fri Jan 16 11:38:29 2015  matrix starts at (0, 0)
Fri Jan 16 11:38:29 2015  matrix is 429788 x 429974 (129.1 MB) with weight 38635037 (89.85/col)
Fri Jan 16 11:38:29 2015  sparse part has weight 29120001 (67.73/col)
Fri Jan 16 11:38:29 2015  saving the first 48 matrix rows for later
Fri Jan 16 11:38:29 2015  matrix includes 64 packed rows
Fri Jan 16 11:38:29 2015  matrix is 429740 x 429974 (122.1 MB) with weight 30625265 (71.23/col)
Fri Jan 16 11:38:29 2015  sparse part has weight 27699869 (64.42/col)
Fri Jan 16 11:38:29 2015  using block size 65536 for processor cache size 8192 kB
Fri Jan 16 11:38:30 2015  commencing Lanczos iteration (8 threads)
Fri Jan 16 11:38:30 2015  memory use: 117.5 MB
Fri Jan 16 11:38:37 2015  linear algebra at 2.8%, ETA 0h 4m
Fri Jan 16 11:43:00 2015  lanczos halted after 6799 iterations (dim = 429740)
Fri Jan 16 11:43:01 2015  recovered 39 nontrivial dependencies
Fri Jan 16 11:43:01 2015  BLanczosTime: 294
Fri Jan 16 11:43:01 2015  
Fri Jan 16 11:43:01 2015  commencing square root phase
Fri Jan 16 11:43:01 2015  reading relations for dependency 1
Fri Jan 16 11:43:01 2015  read 214606 cycles
Fri Jan 16 11:43:01 2015  cycles contain 718878 unique relations
Fri Jan 16 11:43:05 2015  read 718878 relations
Fri Jan 16 11:43:07 2015  multiplying 718878 relations
Fri Jan 16 11:43:23 2015  multiply complete, coefficients have about 25.21 million bits
Fri Jan 16 11:43:23 2015  initial square root is modulo 17363531
Fri Jan 16 11:43:44 2015  sqrtTime: 43
--
n: 2203405744578946369838367966173559996580064991975745166299572242250701717322739427917740908021593704076030316187272266983770271038501
m: 100000000000000000000000000000
deg: 5
c5: 68200
c0: -7
skew: 0.16
# Murphy_E = 1.041e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
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 16:30:17 UTC 2015 年 1 月 9 日 (金) 1 時 30 分 17 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:03:05 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 5 秒 (日本時間)

682×10150-79

c112

name 名前Jo Yeong Uk
date 日付January 18, 2015 22:01:29 UTC 2015 年 1 月 19 日 (月) 7 時 1 分 29 秒 (日本時間)
composite number 合成数
2136693992280156236560380368768309587218856720079836870056038720638734916325002203458870599539813012667133663869<112>
prime factors 素因数
40607786049658008832856689930251164243195489<44>
52617840077941187662980102625568797594954384463102478842193095467421<68>
factorization results 素因数分解の結果
Number: 75777_150
N=2136693992280156236560380368768309587218856720079836870056038720638734916325002203458870599539813012667133663869
  ( 112 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=40607786049658008832856689930251164243195489
 r2=52617840077941187662980102625568797594954384463102478842193095467421
Version: 
Total time: 4.84 hours.
Scaled time: 25.46 units (timescale=5.257).
Factorization parameters were as follows:
n: 2136693992280156236560380368768309587218856720079836870056038720638734916325002203458870599539813012667133663869
m: 1000000000000000000000000000000
deg: 5
c5: 682
c0: -7
skew: 0.40
# Murphy_E = 1.055e-09
type: snfs
lss: 1
rlim: 1800000
alim: 1800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [900000, 1650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 7168278
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 416470 x 416718
Total sieving time: 4.35 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,1800000,1800000,27,27,50,50,2.4,2.4,50000
total time: 4.84 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 16:30:28 UTC 2015 年 1 月 9 日 (金) 1 時 30 分 28 秒 (日本時間)
403e60--
4511e61150 / 4439Pierre JammesJanuary 17, 2015 08:56:04 UTC 2015 年 1 月 17 日 (土) 17 時 56 分 4 秒 (日本時間)

682×10152-79

c117

name 名前Cyp
date 日付January 18, 2015 03:25:10 UTC 2015 年 1 月 18 日 (日) 12 時 25 分 10 秒 (日本時間)
composite number 合成数
415870726243665418116627488648229012045563459515518288527471011856658813042292792954201275005890640554709687308955207<117>
prime factors 素因数
5825205623788767374314507977589067017809710940159323<52>
71391595954200715161211458547201017340955617823970644576330943109<65>
factorization results 素因数分解の結果
01/18/15 01:36:40 v1.34.3, 
01/18/15 01:36:40 v1.34.3, ****************************
01/18/15 01:36:40 v1.34.3, Starting factorization of 415870726243665418116627488648229012045563459515518288527471011856658813042292792954201275005890640554709687308955207
01/18/15 01:36:40 v1.34.3, using pretesting plan: none
01/18/15 01:36:40 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/18/15 01:36:40 v1.34.3, ****************************
01/18/15 01:36:40 v1.34.3, nfs: commencing nfs on c117: 415870726243665418116627488648229012045563459515518288527471011856658813042292792954201275005890640554709687308955207
01/18/15 01:36:40 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/18/15 01:36:40 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/18/15 01:37:33 v1.34.3, nfs: commencing lattice sieving with 8 threads
[169 lines snipped]
01/18/15 04:14:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/18/15 04:15:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/18/15 04:16:41 v1.34.3, nfs: commencing msieve filtering
01/18/15 04:18:25 v1.34.3, nfs: commencing msieve linear algebra
01/18/15 04:24:22 v1.34.3, nfs: commencing msieve sqrt
01/18/15 04:25:09 v1.34.3, prp52 = 5825205623788767374314507977589067017809710940159323
01/18/15 04:25:09 v1.34.3, prp65 = 71391595954200715161211458547201017340955617823970644576330943109
01/18/15 04:25:09 v1.34.3, NFS elapsed time = 10108.7500 seconds.
01/18/15 04:25:09 v1.34.3, 
01/18/15 04:25:09 v1.34.3, 
01/18/15 04:25:09 v1.34.3, Total factoring time = 10108.7506 seconds
--
Sun Jan 18 04:16:41 2015  
Sun Jan 18 04:16:41 2015  commencing relation filtering
Sun Jan 18 04:16:41 2015  estimated available RAM is 15987.3 MB
Sun Jan 18 04:16:41 2015  commencing duplicate removal, pass 1
Sun Jan 18 04:17:08 2015  found 1774414 hash collisions in 10043222 relations
Sun Jan 18 04:17:16 2015  added 355668 free relations
Sun Jan 18 04:17:16 2015  commencing duplicate removal, pass 2
Sun Jan 18 04:17:25 2015  found 1498111 duplicates and 8900779 unique relations
Sun Jan 18 04:17:25 2015  memory use: 45.3 MB
Sun Jan 18 04:17:25 2015  reading ideals above 100000
Sun Jan 18 04:17:25 2015  commencing singleton removal, initial pass
Sun Jan 18 04:18:04 2015  memory use: 188.2 MB
Sun Jan 18 04:18:04 2015  reading all ideals from disk
Sun Jan 18 04:18:04 2015  memory use: 303.0 MB
Sun Jan 18 04:18:04 2015  keeping 9470313 ideals with weight <= 200, target excess is 46017
Sun Jan 18 04:18:05 2015  commencing in-memory singleton removal
Sun Jan 18 04:18:05 2015  begin with 8900779 relations and 9470313 unique ideals
Sun Jan 18 04:18:07 2015  reduce to 3947038 relations and 3327627 ideals in 12 passes
Sun Jan 18 04:18:07 2015  max relations containing the same ideal: 120
Sun Jan 18 04:18:08 2015  removing 1057513 relations and 774497 ideals in 283016 cliques
Sun Jan 18 04:18:09 2015  commencing in-memory singleton removal
Sun Jan 18 04:18:09 2015  begin with 2889525 relations and 3327627 unique ideals
Sun Jan 18 04:18:09 2015  reduce to 2685572 relations and 2330790 ideals in 9 passes
Sun Jan 18 04:18:09 2015  max relations containing the same ideal: 93
Sun Jan 18 04:18:10 2015  removing 873702 relations and 590686 ideals in 283016 cliques
Sun Jan 18 04:18:10 2015  commencing in-memory singleton removal
Sun Jan 18 04:18:10 2015  begin with 1811870 relations and 2330790 unique ideals
Sun Jan 18 04:18:11 2015  reduce to 1639032 relations and 1548114 ideals in 8 passes
Sun Jan 18 04:18:11 2015  max relations containing the same ideal: 66
Sun Jan 18 04:18:11 2015  removing 173628 relations and 136090 ideals in 37538 cliques
Sun Jan 18 04:18:11 2015  commencing in-memory singleton removal
Sun Jan 18 04:18:11 2015  begin with 1465404 relations and 1548114 unique ideals
Sun Jan 18 04:18:11 2015  reduce to 1453214 relations and 1399545 ideals in 6 passes
Sun Jan 18 04:18:11 2015  max relations containing the same ideal: 61
Sun Jan 18 04:18:12 2015  relations with 0 large ideals: 1041
Sun Jan 18 04:18:12 2015  relations with 1 large ideals: 603
Sun Jan 18 04:18:12 2015  relations with 2 large ideals: 9158
Sun Jan 18 04:18:12 2015  relations with 3 large ideals: 60116
Sun Jan 18 04:18:12 2015  relations with 4 large ideals: 200681
Sun Jan 18 04:18:12 2015  relations with 5 large ideals: 376708
Sun Jan 18 04:18:12 2015  relations with 6 large ideals: 424007
Sun Jan 18 04:18:12 2015  relations with 7+ large ideals: 380900
Sun Jan 18 04:18:12 2015  commencing 2-way merge
Sun Jan 18 04:18:12 2015  reduce to 914113 relation sets and 860444 unique ideals
Sun Jan 18 04:18:12 2015  commencing full merge
Sun Jan 18 04:18:21 2015  memory use: 109.9 MB
Sun Jan 18 04:18:21 2015  found 473902 cycles, need 466644
Sun Jan 18 04:18:21 2015  weight of 466644 cycles is about 32735862 (70.15/cycle)
Sun Jan 18 04:18:21 2015  distribution of cycle lengths:
Sun Jan 18 04:18:21 2015  1 relations: 32564
Sun Jan 18 04:18:21 2015  2 relations: 45108
Sun Jan 18 04:18:21 2015  3 relations: 50672
Sun Jan 18 04:18:21 2015  4 relations: 50598
Sun Jan 18 04:18:21 2015  5 relations: 49022
Sun Jan 18 04:18:21 2015  6 relations: 44908
Sun Jan 18 04:18:21 2015  7 relations: 40176
Sun Jan 18 04:18:21 2015  8 relations: 35088
Sun Jan 18 04:18:21 2015  9 relations: 29431
Sun Jan 18 04:18:21 2015  10+ relations: 89077
Sun Jan 18 04:18:21 2015  heaviest cycle: 20 relations
Sun Jan 18 04:18:21 2015  commencing cycle optimization
Sun Jan 18 04:18:21 2015  start with 2901490 relations
Sun Jan 18 04:18:25 2015  pruned 85923 relations
Sun Jan 18 04:18:25 2015  memory use: 90.0 MB
Sun Jan 18 04:18:25 2015  distribution of cycle lengths:
Sun Jan 18 04:18:25 2015  1 relations: 32564
Sun Jan 18 04:18:25 2015  2 relations: 46046
Sun Jan 18 04:18:25 2015  3 relations: 52574
Sun Jan 18 04:18:25 2015  4 relations: 52228
Sun Jan 18 04:18:25 2015  5 relations: 50745
Sun Jan 18 04:18:25 2015  6 relations: 46243
Sun Jan 18 04:18:25 2015  7 relations: 41387
Sun Jan 18 04:18:25 2015  8 relations: 35452
Sun Jan 18 04:18:25 2015  9 relations: 29488
Sun Jan 18 04:18:25 2015  10+ relations: 79917
Sun Jan 18 04:18:25 2015  heaviest cycle: 20 relations
Sun Jan 18 04:18:25 2015  RelProcTime: 104
Sun Jan 18 04:18:25 2015  
Sun Jan 18 04:18:25 2015  commencing linear algebra
Sun Jan 18 04:18:25 2015  read 466644 cycles
Sun Jan 18 04:18:26 2015  cycles contain 1420315 unique relations
Sun Jan 18 04:18:35 2015  read 1420315 relations
Sun Jan 18 04:18:36 2015  using 20 quadratic characters above 134200944
Sun Jan 18 04:18:40 2015  building initial matrix
Sun Jan 18 04:18:48 2015  memory use: 174.7 MB
Sun Jan 18 04:18:48 2015  read 466644 cycles
Sun Jan 18 04:18:48 2015  matrix is 466467 x 466644 (139.0 MB) with weight 41693965 (89.35/col)
Sun Jan 18 04:18:48 2015  sparse part has weight 31308740 (67.09/col)
Sun Jan 18 04:18:50 2015  filtering completed in 2 passes
Sun Jan 18 04:18:50 2015  matrix is 466380 x 466557 (139.0 MB) with weight 41691081 (89.36/col)
Sun Jan 18 04:18:50 2015  sparse part has weight 31307782 (67.10/col)
Sun Jan 18 04:18:51 2015  matrix starts at (0, 0)
Sun Jan 18 04:18:51 2015  matrix is 466380 x 466557 (139.0 MB) with weight 41691081 (89.36/col)
Sun Jan 18 04:18:51 2015  sparse part has weight 31307782 (67.10/col)
Sun Jan 18 04:18:51 2015  saving the first 48 matrix rows for later
Sun Jan 18 04:18:51 2015  matrix includes 64 packed rows
Sun Jan 18 04:18:51 2015  matrix is 466332 x 466557 (131.7 MB) with weight 32966885 (70.66/col)
Sun Jan 18 04:18:51 2015  sparse part has weight 29858367 (64.00/col)
Sun Jan 18 04:18:51 2015  using block size 65536 for processor cache size 8192 kB
Sun Jan 18 04:18:52 2015  commencing Lanczos iteration (8 threads)
Sun Jan 18 04:18:52 2015  memory use: 126.9 MB
Sun Jan 18 04:19:00 2015  linear algebra at 2.6%, ETA 0h 4m
Sun Jan 18 04:24:22 2015  lanczos halted after 7377 iterations (dim = 466330)
Sun Jan 18 04:24:22 2015  recovered 38 nontrivial dependencies
Sun Jan 18 04:24:22 2015  BLanczosTime: 357
Sun Jan 18 04:24:22 2015  
Sun Jan 18 04:24:22 2015  commencing square root phase
Sun Jan 18 04:24:22 2015  reading relations for dependency 1
Sun Jan 18 04:24:22 2015  read 233754 cycles
Sun Jan 18 04:24:22 2015  cycles contain 711592 unique relations
Sun Jan 18 04:24:31 2015  read 711592 relations
Sun Jan 18 04:24:32 2015  multiplying 711592 relations
Sun Jan 18 04:24:48 2015  multiply complete, coefficients have about 25.11 million bits
Sun Jan 18 04:24:48 2015  initial square root is modulo 16309211
Sun Jan 18 04:25:09 2015  sqrtTime: 47
--
n: 415870726243665418116627488648229012045563459515518288527471011856658813042292792954201275005890640554709687308955207
m: 1000000000000000000000000000000
deg: 5
c5: 68200
c0: -7
skew: 0.16
# Murphy_E = 6.724e-10
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
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
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 22:30:09 UTC 2015 年 1 月 10 日 (土) 7 時 30 分 9 秒 (日本時間)
403e6110 / 1539Ignacio SantosJanuary 9, 2015 22:30:09 UTC 2015 年 1 月 10 日 (土) 7 時 30 分 9 秒 (日本時間)
4511e6202 / 443732Ignacio SantosJanuary 9, 2015 22:30:09 UTC 2015 年 1 月 10 日 (土) 7 時 30 分 9 秒 (日本時間)
170Pierre JammesJanuary 17, 2015 12:03:39 UTC 2015 年 1 月 17 日 (土) 21 時 3 分 39 秒 (日本時間)

682×10153-79

c146

name 名前Cyp
date 日付January 13, 2015 18:15:23 UTC 2015 年 1 月 14 日 (水) 3 時 15 分 23 秒 (日本時間)
composite number 合成数
78285294188721989772694149788325385957769644764479640006695477199972192282946980489834600541924485121129758414505779414770571846367712164968388253<146>
prime factors 素因数
2042927317148531690415272233154378745383<40>
38320156342121217117300590839384323291831066822468519089751799337109766927369204880051532765600709941844891<107>
factorization results 素因数分解の結果
01/13/15 16:23:01 v1.34.3, 
01/13/15 16:23:01 v1.34.3, ****************************
01/13/15 16:23:01 v1.34.3, Starting factorization of 78285294188721989772694149788325385957769644764479640006695477199972192282946980489834600541924485121129758414505779414770571846367712164968388253
01/13/15 16:23:01 v1.34.3, using pretesting plan: none
01/13/15 16:23:01 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/13/15 16:23:01 v1.34.3, ****************************
01/13/15 16:23:01 v1.34.3, nfs: commencing nfs on c146: 78285294188721989772694149788325385957769644764479640006695477199972192282946980489834600541924485121129758414505779414770571846367712164968388253
01/13/15 16:23:01 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/13/15 16:23:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/13/15 16:27:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
[35 lines snipped]
01/13/15 18:58:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/13/15 19:03:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/13/15 19:07:18 v1.34.3, nfs: commencing msieve filtering
01/13/15 19:09:06 v1.34.3, nfs: commencing msieve linear algebra
01/13/15 19:13:17 v1.34.3, nfs: commencing msieve sqrt
01/13/15 19:15:22 v1.34.3, prp40 = 2042927317148531690415272233154378745383
01/13/15 19:15:22 v1.34.3, prp107 = 38320156342121217117300590839384323291831066822468519089751799337109766927369204880051532765600709941844891
01/13/15 19:15:22 v1.34.3, NFS elapsed time = 10341.4907 seconds.
01/13/15 19:15:22 v1.34.3, 
01/13/15 19:15:22 v1.34.3, 
01/13/15 19:15:22 v1.34.3, Total factoring time = 10341.4917 seconds
--
Tue Jan 13 19:07:18 2015  
Tue Jan 13 19:07:18 2015  commencing relation filtering
Tue Jan 13 19:07:18 2015  estimated available RAM is 15987.3 MB
Tue Jan 13 19:07:18 2015  commencing duplicate removal, pass 1
Tue Jan 13 19:07:47 2015  skipped 1 relations with b > 2^32
Tue Jan 13 19:07:47 2015  found 1354521 hash collisions in 10079145 relations
Tue Jan 13 19:07:55 2015  added 359483 free relations
Tue Jan 13 19:07:55 2015  commencing duplicate removal, pass 2
Tue Jan 13 19:08:04 2015  found 909129 duplicates and 9529499 unique relations
Tue Jan 13 19:08:04 2015  memory use: 41.3 MB
Tue Jan 13 19:08:04 2015  reading ideals above 100000
Tue Jan 13 19:08:04 2015  commencing singleton removal, initial pass
Tue Jan 13 19:08:46 2015  memory use: 188.2 MB
Tue Jan 13 19:08:46 2015  reading all ideals from disk
Tue Jan 13 19:08:46 2015  memory use: 329.5 MB
Tue Jan 13 19:08:47 2015  keeping 9709032 ideals with weight <= 200, target excess is 51346
Tue Jan 13 19:08:47 2015  commencing in-memory singleton removal
Tue Jan 13 19:08:47 2015  begin with 9529499 relations and 9709032 unique ideals
Tue Jan 13 19:08:50 2015  reduce to 4620415 relations and 3687687 ideals in 12 passes
Tue Jan 13 19:08:50 2015  max relations containing the same ideal: 124
Tue Jan 13 19:08:51 2015  removing 1305032 relations and 905032 ideals in 400000 cliques
Tue Jan 13 19:08:51 2015  commencing in-memory singleton removal
Tue Jan 13 19:08:52 2015  begin with 3315383 relations and 3687687 unique ideals
Tue Jan 13 19:08:53 2015  reduce to 3075026 relations and 2517208 ideals in 9 passes
Tue Jan 13 19:08:53 2015  max relations containing the same ideal: 94
Tue Jan 13 19:08:53 2015  removing 1103280 relations and 703280 ideals in 400000 cliques
Tue Jan 13 19:08:54 2015  commencing in-memory singleton removal
Tue Jan 13 19:08:54 2015  begin with 1971746 relations and 2517208 unique ideals
Tue Jan 13 19:08:54 2015  reduce to 1756433 relations and 1571460 ideals in 9 passes
Tue Jan 13 19:08:54 2015  max relations containing the same ideal: 65
Tue Jan 13 19:08:55 2015  removing 415452 relations and 290041 ideals in 125411 cliques
Tue Jan 13 19:08:55 2015  commencing in-memory singleton removal
Tue Jan 13 19:08:55 2015  begin with 1340981 relations and 1571460 unique ideals
Tue Jan 13 19:08:55 2015  reduce to 1265045 relations and 1200031 ideals in 7 passes
Tue Jan 13 19:08:55 2015  max relations containing the same ideal: 52
Tue Jan 13 19:08:55 2015  relations with 0 large ideals: 1218
Tue Jan 13 19:08:55 2015  relations with 1 large ideals: 744
Tue Jan 13 19:08:55 2015  relations with 2 large ideals: 10013
Tue Jan 13 19:08:55 2015  relations with 3 large ideals: 62398
Tue Jan 13 19:08:55 2015  relations with 4 large ideals: 194456
Tue Jan 13 19:08:55 2015  relations with 5 large ideals: 337529
Tue Jan 13 19:08:55 2015  relations with 6 large ideals: 357680
Tue Jan 13 19:08:55 2015  relations with 7+ large ideals: 301007
Tue Jan 13 19:08:55 2015  commencing 2-way merge
Tue Jan 13 19:08:56 2015  reduce to 783209 relation sets and 718195 unique ideals
Tue Jan 13 19:08:56 2015  commencing full merge
Tue Jan 13 19:09:03 2015  memory use: 93.5 MB
Tue Jan 13 19:09:03 2015  found 401316 cycles, need 388395
Tue Jan 13 19:09:03 2015  weight of 388395 cycles is about 27362360 (70.45/cycle)
Tue Jan 13 19:09:03 2015  distribution of cycle lengths:
Tue Jan 13 19:09:03 2015  1 relations: 33610
Tue Jan 13 19:09:03 2015  2 relations: 36800
Tue Jan 13 19:09:03 2015  3 relations: 40705
Tue Jan 13 19:09:03 2015  4 relations: 41204
Tue Jan 13 19:09:03 2015  5 relations: 40572
Tue Jan 13 19:09:03 2015  6 relations: 37822
Tue Jan 13 19:09:03 2015  7 relations: 33913
Tue Jan 13 19:09:03 2015  8 relations: 28893
Tue Jan 13 19:09:03 2015  9 relations: 24125
Tue Jan 13 19:09:03 2015  10+ relations: 70751
Tue Jan 13 19:09:03 2015  heaviest cycle: 19 relations
Tue Jan 13 19:09:03 2015  commencing cycle optimization
Tue Jan 13 19:09:03 2015  start with 2355521 relations
Tue Jan 13 19:09:05 2015  pruned 73798 relations
Tue Jan 13 19:09:05 2015  memory use: 74.6 MB
Tue Jan 13 19:09:05 2015  distribution of cycle lengths:
Tue Jan 13 19:09:05 2015  1 relations: 33610
Tue Jan 13 19:09:05 2015  2 relations: 37605
Tue Jan 13 19:09:05 2015  3 relations: 42245
Tue Jan 13 19:09:05 2015  4 relations: 42658
Tue Jan 13 19:09:05 2015  5 relations: 42322
Tue Jan 13 19:09:05 2015  6 relations: 39234
Tue Jan 13 19:09:05 2015  7 relations: 34913
Tue Jan 13 19:09:05 2015  8 relations: 29335
Tue Jan 13 19:09:05 2015  9 relations: 24014
Tue Jan 13 19:09:05 2015  10+ relations: 62459
Tue Jan 13 19:09:05 2015  heaviest cycle: 19 relations
Tue Jan 13 19:09:06 2015  RelProcTime: 108
Tue Jan 13 19:09:06 2015  
Tue Jan 13 19:09:06 2015  commencing linear algebra
Tue Jan 13 19:09:06 2015  read 388395 cycles
Tue Jan 13 19:09:06 2015  cycles contain 1201084 unique relations
Tue Jan 13 19:09:15 2015  read 1201084 relations
Tue Jan 13 19:09:16 2015  using 20 quadratic characters above 134217200
Tue Jan 13 19:09:20 2015  building initial matrix
Tue Jan 13 19:09:26 2015  memory use: 149.9 MB
Tue Jan 13 19:09:26 2015  read 388395 cycles
Tue Jan 13 19:09:26 2015  matrix is 388213 x 388395 (115.8 MB) with weight 34743485 (89.45/col)
Tue Jan 13 19:09:26 2015  sparse part has weight 26079634 (67.15/col)
Tue Jan 13 19:09:27 2015  filtering completed in 2 passes
Tue Jan 13 19:09:27 2015  matrix is 387958 x 388140 (115.7 MB) with weight 34730777 (89.48/col)
Tue Jan 13 19:09:27 2015  sparse part has weight 26072684 (67.17/col)
Tue Jan 13 19:09:28 2015  matrix starts at (0, 0)
Tue Jan 13 19:09:28 2015  matrix is 387958 x 388140 (115.7 MB) with weight 34730777 (89.48/col)
Tue Jan 13 19:09:28 2015  sparse part has weight 26072684 (67.17/col)
Tue Jan 13 19:09:28 2015  saving the first 48 matrix rows for later
Tue Jan 13 19:09:28 2015  matrix includes 64 packed rows
Tue Jan 13 19:09:28 2015  matrix is 387910 x 388140 (109.7 MB) with weight 27453022 (70.73/col)
Tue Jan 13 19:09:28 2015  sparse part has weight 24876140 (64.09/col)
Tue Jan 13 19:09:28 2015  using block size 65536 for processor cache size 8192 kB
Tue Jan 13 19:09:29 2015  commencing Lanczos iteration (8 threads)
Tue Jan 13 19:09:29 2015  memory use: 105.6 MB
Tue Jan 13 19:09:36 2015  linear algebra at 3.1%, ETA 0h 3m
Tue Jan 13 19:13:16 2015  lanczos halted after 6136 iterations (dim = 387908)
Tue Jan 13 19:13:17 2015  recovered 36 nontrivial dependencies
Tue Jan 13 19:13:17 2015  BLanczosTime: 251
Tue Jan 13 19:13:17 2015  
Tue Jan 13 19:13:17 2015  commencing square root phase
Tue Jan 13 19:13:17 2015  reading relations for dependency 1
Tue Jan 13 19:13:17 2015  read 194273 cycles
Tue Jan 13 19:13:17 2015  cycles contain 601890 unique relations
Tue Jan 13 19:13:25 2015  read 601890 relations
Tue Jan 13 19:13:26 2015  multiplying 601890 relations
Tue Jan 13 19:13:40 2015  multiply complete, coefficients have about 23.47 million bits
Tue Jan 13 19:13:40 2015  initial square root is modulo 5499581
Tue Jan 13 19:13:59 2015  GCD is 1, no factor found
Tue Jan 13 19:13:59 2015  reading relations for dependency 2
Tue Jan 13 19:13:59 2015  read 193933 cycles
Tue Jan 13 19:13:59 2015  cycles contain 599882 unique relations
Tue Jan 13 19:14:08 2015  read 599882 relations
Tue Jan 13 19:14:09 2015  multiplying 599882 relations
Tue Jan 13 19:14:23 2015  multiply complete, coefficients have about 23.39 million bits
Tue Jan 13 19:14:23 2015  initial square root is modulo 5217431
Tue Jan 13 19:14:41 2015  GCD is 1, no factor found
Tue Jan 13 19:14:41 2015  reading relations for dependency 3
Tue Jan 13 19:14:41 2015  read 193647 cycles
Tue Jan 13 19:14:41 2015  cycles contain 598722 unique relations
Tue Jan 13 19:14:49 2015  read 598722 relations
Tue Jan 13 19:14:50 2015  multiplying 598722 relations
Tue Jan 13 19:15:04 2015  multiply complete, coefficients have about 23.34 million bits
Tue Jan 13 19:15:04 2015  initial square root is modulo 5067991
Tue Jan 13 19:15:22 2015  sqrtTime: 125
--
n: 78285294188721989772694149788325385957769644764479640006695477199972192282946980489834600541924485121129758414505779414770571846367712164968388253
m: 1000000000000000000000000000000
deg: 5
c5: 682000
c0: -7
skew: 0.10
# Murphy_E = 5.759e-10
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
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 00:03:06 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 6 秒 (日本時間)

682×10154-79

c135

name 名前Cyp
date 日付January 16, 2015 05:41:46 UTC 2015 年 1 月 16 日 (金) 14 時 41 分 46 秒 (日本時間)
composite number 合成数
637512067995949012746769214556034892727559767506506711963660945504940841155061039760139983124406588949780959993596514673913248996488823<135>
prime factors 素因数
898529559008798437024130235568309867201<39>
709505949586357981274924225500859776811955312564475457525817099780965241739611511300375894503223<96>
factorization results 素因数分解の結果
01/16/15 03:46:31 v1.34.3, 
01/16/15 03:46:31 v1.34.3, ****************************
01/16/15 03:46:31 v1.34.3, Starting factorization of 637512067995949012746769214556034892727559767506506711963660945504940841155061039760139983124406588949780959993596514673913248996488823
01/16/15 03:46:31 v1.34.3, using pretesting plan: none
01/16/15 03:46:31 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/16/15 03:46:31 v1.34.3, ****************************
01/16/15 03:46:31 v1.34.3, nfs: commencing nfs on c135: 637512067995949012746769214556034892727559767506506711963660945504940841155061039760139983124406588949780959993596514673913248996488823
01/16/15 03:46:31 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/16/15 03:46:31 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 03:47:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
[167 lines snipped]
01/16/15 06:31:20 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 06:32:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 06:33:15 v1.34.3, nfs: commencing msieve filtering
01/16/15 06:34:59 v1.34.3, nfs: commencing msieve linear algebra
01/16/15 06:41:05 v1.34.3, nfs: commencing msieve sqrt
01/16/15 06:41:45 v1.34.3, prp96 = 709505949586357981274924225500859776811955312564475457525817099780965241739611511300375894503223
01/16/15 06:41:45 v1.34.3, prp39 = 898529559008798437024130235568309867201
01/16/15 06:41:45 v1.34.3, NFS elapsed time = 10513.9647 seconds.
01/16/15 06:41:45 v1.34.3, 
01/16/15 06:41:45 v1.34.3, 
01/16/15 06:41:45 v1.34.3, Total factoring time = 10513.9654 seconds
--
Fri Jan 16 06:33:15 2015  
Fri Jan 16 06:33:15 2015  commencing relation filtering
Fri Jan 16 06:33:15 2015  estimated available RAM is 15987.3 MB
Fri Jan 16 06:33:15 2015  commencing duplicate removal, pass 1
Fri Jan 16 06:33:42 2015  found 1736088 hash collisions in 10081300 relations
Fri Jan 16 06:33:50 2015  added 356138 free relations
Fri Jan 16 06:33:50 2015  commencing duplicate removal, pass 2
Fri Jan 16 06:33:58 2015  found 1437797 duplicates and 8999641 unique relations
Fri Jan 16 06:33:58 2015  memory use: 45.3 MB
Fri Jan 16 06:33:58 2015  reading ideals above 100000
Fri Jan 16 06:33:58 2015  commencing singleton removal, initial pass
Fri Jan 16 06:34:38 2015  memory use: 188.2 MB
Fri Jan 16 06:34:38 2015  reading all ideals from disk
Fri Jan 16 06:34:38 2015  memory use: 307.4 MB
Fri Jan 16 06:34:38 2015  keeping 9536810 ideals with weight <= 200, target excess is 45878
Fri Jan 16 06:34:38 2015  commencing in-memory singleton removal
Fri Jan 16 06:34:39 2015  begin with 8999641 relations and 9536810 unique ideals
Fri Jan 16 06:34:41 2015  reduce to 4048617 relations and 3408890 ideals in 14 passes
Fri Jan 16 06:34:41 2015  max relations containing the same ideal: 122
Fri Jan 16 06:34:43 2015  removing 1083056 relations and 789802 ideals in 293254 cliques
Fri Jan 16 06:34:43 2015  commencing in-memory singleton removal
Fri Jan 16 06:34:43 2015  begin with 2965561 relations and 3408890 unique ideals
Fri Jan 16 06:34:44 2015  reduce to 2756602 relations and 2391307 ideals in 9 passes
Fri Jan 16 06:34:44 2015  max relations containing the same ideal: 93
Fri Jan 16 06:34:44 2015  removing 897967 relations and 604713 ideals in 293254 cliques
Fri Jan 16 06:34:45 2015  commencing in-memory singleton removal
Fri Jan 16 06:34:45 2015  begin with 1858635 relations and 2391307 unique ideals
Fri Jan 16 06:34:45 2015  reduce to 1680290 relations and 1588592 ideals in 9 passes
Fri Jan 16 06:34:45 2015  max relations containing the same ideal: 68
Fri Jan 16 06:34:46 2015  removing 177596 relations and 139117 ideals in 38479 cliques
Fri Jan 16 06:34:46 2015  commencing in-memory singleton removal
Fri Jan 16 06:34:46 2015  begin with 1502694 relations and 1588592 unique ideals
Fri Jan 16 06:34:46 2015  reduce to 1490055 relations and 1436533 ideals in 6 passes
Fri Jan 16 06:34:46 2015  max relations containing the same ideal: 62
Fri Jan 16 06:34:46 2015  relations with 0 large ideals: 1035
Fri Jan 16 06:34:46 2015  relations with 1 large ideals: 562
Fri Jan 16 06:34:46 2015  relations with 2 large ideals: 8933
Fri Jan 16 06:34:46 2015  relations with 3 large ideals: 58747
Fri Jan 16 06:34:46 2015  relations with 4 large ideals: 200248
Fri Jan 16 06:34:46 2015  relations with 5 large ideals: 379708
Fri Jan 16 06:34:46 2015  relations with 6 large ideals: 436483
Fri Jan 16 06:34:46 2015  relations with 7+ large ideals: 404339
Fri Jan 16 06:34:46 2015  commencing 2-way merge
Fri Jan 16 06:34:47 2015  reduce to 939646 relation sets and 886124 unique ideals
Fri Jan 16 06:34:47 2015  commencing full merge
Fri Jan 16 06:34:56 2015  memory use: 114.0 MB
Fri Jan 16 06:34:56 2015  found 485583 cycles, need 478324
Fri Jan 16 06:34:56 2015  weight of 478324 cycles is about 33801557 (70.67/cycle)
Fri Jan 16 06:34:56 2015  distribution of cycle lengths:
Fri Jan 16 06:34:56 2015  1 relations: 33442
Fri Jan 16 06:34:56 2015  2 relations: 45607
Fri Jan 16 06:34:56 2015  3 relations: 50994
Fri Jan 16 06:34:56 2015  4 relations: 50817
Fri Jan 16 06:34:56 2015  5 relations: 49603
Fri Jan 16 06:34:56 2015  6 relations: 45761
Fri Jan 16 06:34:56 2015  7 relations: 41254
Fri Jan 16 06:34:56 2015  8 relations: 35539
Fri Jan 16 06:34:56 2015  9 relations: 30108
Fri Jan 16 06:34:56 2015  10+ relations: 95199
Fri Jan 16 06:34:56 2015  heaviest cycle: 20 relations
Fri Jan 16 06:34:56 2015  commencing cycle optimization
Fri Jan 16 06:34:56 2015  start with 3011179 relations
Fri Jan 16 06:34:59 2015  pruned 90257 relations
Fri Jan 16 06:34:59 2015  memory use: 92.7 MB
Fri Jan 16 06:34:59 2015  distribution of cycle lengths:
Fri Jan 16 06:34:59 2015  1 relations: 33442
Fri Jan 16 06:34:59 2015  2 relations: 46537
Fri Jan 16 06:34:59 2015  3 relations: 52767
Fri Jan 16 06:34:59 2015  4 relations: 52541
Fri Jan 16 06:34:59 2015  5 relations: 51439
Fri Jan 16 06:34:59 2015  6 relations: 46993
Fri Jan 16 06:34:59 2015  7 relations: 42449
Fri Jan 16 06:34:59 2015  8 relations: 36236
Fri Jan 16 06:34:59 2015  9 relations: 30286
Fri Jan 16 06:34:59 2015  10+ relations: 85634
Fri Jan 16 06:34:59 2015  heaviest cycle: 20 relations
Fri Jan 16 06:34:59 2015  RelProcTime: 104
Fri Jan 16 06:34:59 2015  
Fri Jan 16 06:34:59 2015  commencing linear algebra
Fri Jan 16 06:34:59 2015  read 478324 cycles
Fri Jan 16 06:35:00 2015  cycles contain 1457877 unique relations
Fri Jan 16 06:35:09 2015  read 1457877 relations
Fri Jan 16 06:35:10 2015  using 20 quadratic characters above 134216060
Fri Jan 16 06:35:15 2015  building initial matrix
Fri Jan 16 06:35:22 2015  memory use: 180.5 MB
Fri Jan 16 06:35:22 2015  read 478324 cycles
Fri Jan 16 06:35:22 2015  matrix is 478147 x 478324 (143.3 MB) with weight 43417258 (90.77/col)
Fri Jan 16 06:35:22 2015  sparse part has weight 32312382 (67.55/col)
Fri Jan 16 06:35:24 2015  filtering completed in 2 passes
Fri Jan 16 06:35:24 2015  matrix is 478084 x 478261 (143.3 MB) with weight 43414653 (90.78/col)
Fri Jan 16 06:35:24 2015  sparse part has weight 32311261 (67.56/col)
Fri Jan 16 06:35:26 2015  matrix starts at (0, 0)
Fri Jan 16 06:35:26 2015  matrix is 478084 x 478261 (143.3 MB) with weight 43414653 (90.78/col)
Fri Jan 16 06:35:26 2015  sparse part has weight 32311261 (67.56/col)
Fri Jan 16 06:35:26 2015  saving the first 48 matrix rows for later
Fri Jan 16 06:35:26 2015  matrix includes 64 packed rows
Fri Jan 16 06:35:26 2015  matrix is 478036 x 478261 (135.8 MB) with weight 34245075 (71.60/col)
Fri Jan 16 06:35:26 2015  sparse part has weight 30807980 (64.42/col)
Fri Jan 16 06:35:26 2015  using block size 65536 for processor cache size 8192 kB
Fri Jan 16 06:35:27 2015  commencing Lanczos iteration (8 threads)
Fri Jan 16 06:35:27 2015  memory use: 130.9 MB
Fri Jan 16 06:35:36 2015  linear algebra at 2.5%, ETA 0h 5m
Fri Jan 16 06:41:05 2015  lanczos halted after 7560 iterations (dim = 478034)
Fri Jan 16 06:41:05 2015  recovered 36 nontrivial dependencies
Fri Jan 16 06:41:05 2015  BLanczosTime: 366
Fri Jan 16 06:41:05 2015  
Fri Jan 16 06:41:05 2015  commencing square root phase
Fri Jan 16 06:41:05 2015  reading relations for dependency 1
Fri Jan 16 06:41:05 2015  read 239077 cycles
Fri Jan 16 06:41:06 2015  cycles contain 729030 unique relations
Fri Jan 16 06:41:13 2015  read 729030 relations
Fri Jan 16 06:41:15 2015  multiplying 729030 relations
Fri Jan 16 06:41:28 2015  multiply complete, coefficients have about 20.91 million bits
Fri Jan 16 06:41:28 2015  initial square root is modulo 1014301
Fri Jan 16 06:41:45 2015  sqrtTime: 40
--
n: 637512067995949012746769214556034892727559767506506711963660945504940841155061039760139983124406588949780959993596514673913248996488823
m: 10000000000000000000000000000000
deg: 5
c5: 341
c0: -35
skew: 0.63
# Murphy_E = 6.481e-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 00:03:06 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 6 秒 (日本時間)

682×10156-79

c158

name 名前Cyp
date 日付January 12, 2015 00:59:19 UTC 2015 年 1 月 12 日 (月) 9 時 59 分 19 秒 (日本時間)
composite number 合成数
25259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259<158>
prime factors 素因数
431005822913840449289900731274249<33>
1282920540301429822865205823520675186169040852603980781919<58>
45681222149994223383730469557112147208720415675464544214325933099389<68>
factorization results 素因数分解の結果
01/11/15 22:02:27 v1.34.3, 
01/11/15 22:02:27 v1.34.3, ****************************
01/11/15 22:02:27 v1.34.3, Starting factorization of 25259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259
01/11/15 22:02:27 v1.34.3, using pretesting plan: none
01/11/15 22:02:27 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/11/15 22:02:27 v1.34.3, ****************************
01/11/15 22:02:27 v1.34.3, nfs: commencing nfs on c158: 25259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259
01/11/15 22:02:27 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/11/15 22:02:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/11/15 22:06:47 v1.34.3, nfs: commencing lattice sieving with 8 threads
[48 lines snipped]
01/12/15 01:36:38 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/12/15 01:40:51 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/12/15 01:45:10 v1.34.3, nfs: commencing msieve filtering
01/12/15 01:46:56 v1.34.3, nfs: commencing msieve linear algebra
01/12/15 01:52:51 v1.34.3, nfs: commencing msieve sqrt
01/12/15 01:53:33 v1.34.3, prp68 = 45681222149994223383730469557112147208720415675464544214325933099389
01/12/15 01:53:33 v1.34.3, C90 = 552946223205686571531633258634984840104289566735095022004853631224660608605058808249503831
01/12/15 01:53:33 v1.34.3, NFS elapsed time = 13866.3973 seconds.
01/12/15 01:53:33 v1.34.3, 
01/12/15 01:53:33 v1.34.3, 
01/12/15 01:53:33 v1.34.3, 
01/12/15 01:53:33 v1.34.3, ****************************
01/12/15 01:53:33 v1.34.3, Starting factorization of 552946223205686571531633258634984840104289566735095022004853631224660608605058808249503831
01/12/15 01:53:33 v1.34.3, using pretesting plan: normal
01/12/15 01:53:33 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/12/15 01:53:33 v1.34.3, ****************************
01/12/15 01:53:33 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C90
01/12/15 01:53:33 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C90
01/12/15 01:53:33 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C90
01/12/15 01:53:33 v1.34.3, pm1: starting B1 = 150K, B2 = gmp-ecm default on C90
01/12/15 01:53:33 v1.34.3, current ECM pretesting depth: 0.00
01/12/15 01:53:33 v1.34.3, scheduled 30 curves at B1=2000 toward target pretesting depth of 27.69
01/12/15 01:53:33 v1.34.3, Finished 30 curves using Lenstra ECM method on C90 input, B1=2K, B2=gmp-ecm default
01/12/15 01:53:33 v1.34.3, current ECM pretesting depth: 15.18
01/12/15 01:53:33 v1.34.3, scheduled 74 curves at B1=11000 toward target pretesting depth of 27.69
01/12/15 01:53:35 v1.34.3, Finished 74 curves using Lenstra ECM method on C90 input, B1=11K, B2=gmp-ecm default
01/12/15 01:53:35 v1.34.3, current ECM pretesting depth: 20.24
01/12/15 01:53:35 v1.34.3, scheduled 214 curves at B1=50000 toward target pretesting depth of 27.69
01/12/15 01:53:56 v1.34.3, Finished 214 curves using Lenstra ECM method on C90 input, B1=50K, B2=gmp-ecm default
01/12/15 01:53:56 v1.34.3, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C90
01/12/15 01:53:58 v1.34.3, current ECM pretesting depth: 25.33
01/12/15 01:53:58 v1.34.3, scheduled 203 curves at B1=250000 toward target pretesting depth of 27.69
01/12/15 01:55:27 v1.34.3, Finished 203 curves using Lenstra ECM method on C90 input, B1=250K, B2=gmp-ecm default
01/12/15 01:55:27 v1.34.3, final ECM pretested depth: 27.69
01/12/15 01:55:27 v1.34.3, scheduler: switching to sieve method
01/12/15 01:55:27 v1.34.3, starting SIQS on c90: 552946223205686571531633258634984840104289566735095022004853631224660608605058808249503831
01/12/15 01:55:27 v1.34.3, random seeds: 747301270, 450108562
01/12/15 01:55:27 v1.34.3, ==== sieve params ====
01/12/15 01:55:27 v1.34.3, n = 92 digits, 304 bits
01/12/15 01:55:27 v1.34.3, factor base: 72976 primes (max prime = 1951403)
01/12/15 01:55:27 v1.34.3, single large prime cutoff: 234168360 (120 * pmax)
01/12/15 01:55:27 v1.34.3, double large prime range from 42 to 51 bits
01/12/15 01:55:27 v1.34.3, double large prime cutoff: 1161851935646259
01/12/15 01:55:27 v1.34.3, allocating 9 large prime slices of factor base
01/12/15 01:55:27 v1.34.3, buckets hold 2048 elements
01/12/15 01:55:27 v1.34.3, using 32k sieve core
01/12/15 01:55:27 v1.34.3, sieve interval: 16 blocks of size 32768
01/12/15 01:55:27 v1.34.3, polynomial A has ~ 12 factors
01/12/15 01:55:27 v1.34.3, using multiplier of 31
01/12/15 01:55:27 v1.34.3, using SPV correction of 21 bits, starting at offset 32
01/12/15 01:55:27 v1.34.3, using SSE2 for trial division and x128 sieve scanning
01/12/15 01:55:27 v1.34.3, using SSE4.1 enabled 32k sieve core
01/12/15 01:55:27 v1.34.3, using SSE2 for resieving 13-16 bit primes
01/12/15 01:55:27 v1.34.3, trial factoring cutoff at 97 bits
01/12/15 01:55:27 v1.34.3, ==== sieving started ( 8 threads) ====
01/12/15 01:59:07 v1.34.3, 75058 relations found: 22570 full + 52488 from 876556 partial, using 403846 polys (633 A polys)
01/12/15 01:59:07 v1.34.3, on average, sieving found 2.23 rels/poly and 4090.24 rels/sec
01/12/15 01:59:07 v1.34.3, trial division touched 25092946 sieve locations out of 0
01/12/15 01:59:07 v1.34.3, ==== post processing stage (msieve-1.38) ====
01/12/15 01:59:07 v1.34.3, begin with 899126 relations
01/12/15 01:59:07 v1.34.3, reduce to 170918 relations in 11 passes
01/12/15 01:59:08 v1.34.3, recovered 170918 relations
01/12/15 01:59:08 v1.34.3, recovered 139125 polynomials
01/12/15 01:59:08 v1.34.3, freed 59 duplicate relations
01/12/15 01:59:08 v1.34.3, attempting to build 74999 cycles
01/12/15 01:59:08 v1.34.3, found 74999 cycles in 5 passes
01/12/15 01:59:08 v1.34.3, distribution of cycle lengths:
01/12/15 01:59:08 v1.34.3,    length 1 : 22568
01/12/15 01:59:08 v1.34.3,    length 2 : 16522
01/12/15 01:59:08 v1.34.3,    length 3 : 13723
01/12/15 01:59:08 v1.34.3,    length 4 : 9485
01/12/15 01:59:08 v1.34.3,    length 5 : 5842
01/12/15 01:59:08 v1.34.3,    length 6 : 3305
01/12/15 01:59:08 v1.34.3,    length 7 : 1766
01/12/15 01:59:08 v1.34.3,    length 9+: 1788
01/12/15 01:59:08 v1.34.3, largest cycle: 16 relations
01/12/15 01:59:08 v1.34.3, matrix is 72976 x 74999 (18.4 MB) with weight 4224568 (56.33/col)
01/12/15 01:59:08 v1.34.3, sparse part has weight 4224568 (56.33/col)
01/12/15 01:59:08 v1.34.3, filtering completed in 4 passes
01/12/15 01:59:08 v1.34.3, matrix is 65484 x 65548 (15.8 MB) with weight 3630396 (55.39/col)
01/12/15 01:59:08 v1.34.3, sparse part has weight 3630396 (55.39/col)
01/12/15 01:59:08 v1.34.3, saving the first 48 matrix rows for later
01/12/15 01:59:08 v1.34.3, matrix is 65436 x 65548 (13.5 MB) with weight 3127331 (47.71/col)
01/12/15 01:59:08 v1.34.3, sparse part has weight 2884495 (44.01/col)
01/12/15 01:59:08 v1.34.3, matrix includes 64 packed rows
01/12/15 01:59:08 v1.34.3, using block size 26219 for processor cache size 8192 kB
01/12/15 01:59:08 v1.34.3, commencing Lanczos iteration
01/12/15 01:59:08 v1.34.3, memory use: 10.9 MB
01/12/15 01:59:18 v1.34.3, lanczos halted after 1037 iterations (dim = 65432)
01/12/15 01:59:18 v1.34.3, recovered 16 nontrivial dependencies
01/12/15 01:59:18 v1.34.3, prp58 = 1282920540301429822865205823520675186169040852603980781919
01/12/15 01:59:18 v1.34.3, prp33 = 431005822913840449289900731274249
01/12/15 01:59:18 v1.34.3, Lanczos elapsed time = 10.8033 seconds.
01/12/15 01:59:18 v1.34.3, Sqrt elapsed time = 0.1788 seconds.
01/12/15 01:59:18 v1.34.3, SIQS elapsed time = 230.8095 seconds.
01/12/15 01:59:18 v1.34.3, 
01/12/15 01:59:18 v1.34.3, 
01/12/15 01:59:18 v1.34.3, Total factoring time = 344.9166 seconds
01/12/15 01:59:18 v1.34.3, Total factoring time = 14211.3406 seconds
--
Mon Jan 12 01:45:10 2015  
Mon Jan 12 01:45:10 2015  commencing relation filtering
Mon Jan 12 01:45:10 2015  estimated available RAM is 15987.3 MB
Mon Jan 12 01:45:10 2015  commencing duplicate removal, pass 1
Mon Jan 12 01:45:37 2015  found 1482827 hash collisions in 10175276 relations
Mon Jan 12 01:45:46 2015  added 358619 free relations
Mon Jan 12 01:45:46 2015  commencing duplicate removal, pass 2
Mon Jan 12 01:45:54 2015  found 1069610 duplicates and 9464285 unique relations
Mon Jan 12 01:45:54 2015  memory use: 41.3 MB
Mon Jan 12 01:45:54 2015  reading ideals above 100000
Mon Jan 12 01:45:54 2015  commencing singleton removal, initial pass
Mon Jan 12 01:46:35 2015  memory use: 188.2 MB
Mon Jan 12 01:46:35 2015  reading all ideals from disk
Mon Jan 12 01:46:35 2015  memory use: 332.6 MB
Mon Jan 12 01:46:35 2015  keeping 9754110 ideals with weight <= 200, target excess is 51325
Mon Jan 12 01:46:36 2015  commencing in-memory singleton removal
Mon Jan 12 01:46:36 2015  begin with 9464285 relations and 9754110 unique ideals
Mon Jan 12 01:46:39 2015  reduce to 4540423 relations and 3719466 ideals in 13 passes
Mon Jan 12 01:46:39 2015  max relations containing the same ideal: 128
Mon Jan 12 01:46:40 2015  removing 1277487 relations and 896777 ideals in 380710 cliques
Mon Jan 12 01:46:40 2015  commencing in-memory singleton removal
Mon Jan 12 01:46:40 2015  begin with 3262936 relations and 3719466 unique ideals
Mon Jan 12 01:46:41 2015  reduce to 3020104 relations and 2555156 ideals in 8 passes
Mon Jan 12 01:46:41 2015  max relations containing the same ideal: 94
Mon Jan 12 01:46:42 2015  removing 1079897 relations and 699187 ideals in 380710 cliques
Mon Jan 12 01:46:42 2015  commencing in-memory singleton removal
Mon Jan 12 01:46:42 2015  begin with 1940207 relations and 2555156 unique ideals
Mon Jan 12 01:46:43 2015  reduce to 1715308 relations and 1603241 ideals in 8 passes
Mon Jan 12 01:46:43 2015  max relations containing the same ideal: 63
Mon Jan 12 01:46:43 2015  removing 227834 relations and 175304 ideals in 52530 cliques
Mon Jan 12 01:46:43 2015  commencing in-memory singleton removal
Mon Jan 12 01:46:44 2015  begin with 1487474 relations and 1603241 unique ideals
Mon Jan 12 01:46:44 2015  reduce to 1462865 relations and 1402544 ideals in 7 passes
Mon Jan 12 01:46:44 2015  max relations containing the same ideal: 59
Mon Jan 12 01:46:44 2015  relations with 0 large ideals: 1166
Mon Jan 12 01:46:44 2015  relations with 1 large ideals: 540
Mon Jan 12 01:46:44 2015  relations with 2 large ideals: 7967
Mon Jan 12 01:46:44 2015  relations with 3 large ideals: 53331
Mon Jan 12 01:46:44 2015  relations with 4 large ideals: 184052
Mon Jan 12 01:46:44 2015  relations with 5 large ideals: 360334
Mon Jan 12 01:46:44 2015  relations with 6 large ideals: 427374
Mon Jan 12 01:46:44 2015  relations with 7+ large ideals: 428101
Mon Jan 12 01:46:44 2015  commencing 2-way merge
Mon Jan 12 01:46:45 2015  reduce to 911721 relation sets and 851400 unique ideals
Mon Jan 12 01:46:45 2015  commencing full merge
Mon Jan 12 01:46:53 2015  memory use: 111.6 MB
Mon Jan 12 01:46:53 2015  found 472172 cycles, need 463600
Mon Jan 12 01:46:53 2015  weight of 463600 cycles is about 32748423 (70.64/cycle)
Mon Jan 12 01:46:53 2015  distribution of cycle lengths:
Mon Jan 12 01:46:53 2015  1 relations: 41121
Mon Jan 12 01:46:53 2015  2 relations: 45813
Mon Jan 12 01:46:53 2015  3 relations: 49246
Mon Jan 12 01:46:53 2015  4 relations: 48993
Mon Jan 12 01:46:53 2015  5 relations: 48246
Mon Jan 12 01:46:53 2015  6 relations: 44217
Mon Jan 12 01:46:53 2015  7 relations: 39628
Mon Jan 12 01:46:53 2015  8 relations: 33840
Mon Jan 12 01:46:53 2015  9 relations: 27892
Mon Jan 12 01:46:53 2015  10+ relations: 84604
Mon Jan 12 01:46:53 2015  heaviest cycle: 20 relations
Mon Jan 12 01:46:53 2015  commencing cycle optimization
Mon Jan 12 01:46:54 2015  start with 2806343 relations
Mon Jan 12 01:46:56 2015  pruned 86871 relations
Mon Jan 12 01:46:56 2015  memory use: 88.5 MB
Mon Jan 12 01:46:56 2015  distribution of cycle lengths:
Mon Jan 12 01:46:56 2015  1 relations: 41121
Mon Jan 12 01:46:56 2015  2 relations: 46874
Mon Jan 12 01:46:56 2015  3 relations: 50937
Mon Jan 12 01:46:56 2015  4 relations: 50706
Mon Jan 12 01:46:56 2015  5 relations: 50114
Mon Jan 12 01:46:56 2015  6 relations: 45856
Mon Jan 12 01:46:56 2015  7 relations: 40613
Mon Jan 12 01:46:56 2015  8 relations: 34245
Mon Jan 12 01:46:56 2015  9 relations: 27874
Mon Jan 12 01:46:56 2015  10+ relations: 75260
Mon Jan 12 01:46:56 2015  heaviest cycle: 20 relations
Mon Jan 12 01:46:56 2015  RelProcTime: 106
Mon Jan 12 01:46:56 2015  
Mon Jan 12 01:46:56 2015  commencing linear algebra
Mon Jan 12 01:46:57 2015  read 463600 cycles
Mon Jan 12 01:46:57 2015  cycles contain 1422433 unique relations
Mon Jan 12 01:47:06 2015  read 1422433 relations
Mon Jan 12 01:47:07 2015  using 20 quadratic characters above 134203052
Mon Jan 12 01:47:12 2015  building initial matrix
Mon Jan 12 01:47:19 2015  memory use: 175.3 MB
Mon Jan 12 01:47:19 2015  read 463600 cycles
Mon Jan 12 01:47:19 2015  matrix is 463427 x 463600 (138.7 MB) with weight 41186272 (88.84/col)
Mon Jan 12 01:47:19 2015  sparse part has weight 31261059 (67.43/col)
Mon Jan 12 01:47:21 2015  filtering completed in 2 passes
Mon Jan 12 01:47:21 2015  matrix is 463311 x 463487 (138.7 MB) with weight 41181903 (88.85/col)
Mon Jan 12 01:47:21 2015  sparse part has weight 31259205 (67.44/col)
Mon Jan 12 01:47:22 2015  matrix starts at (0, 0)
Mon Jan 12 01:47:22 2015  matrix is 463311 x 463487 (138.7 MB) with weight 41181903 (88.85/col)
Mon Jan 12 01:47:22 2015  sparse part has weight 31259205 (67.44/col)
Mon Jan 12 01:47:22 2015  saving the first 48 matrix rows for later
Mon Jan 12 01:47:22 2015  matrix includes 64 packed rows
Mon Jan 12 01:47:22 2015  matrix is 463263 x 463487 (131.0 MB) with weight 32582040 (70.30/col)
Mon Jan 12 01:47:22 2015  sparse part has weight 29713231 (64.11/col)
Mon Jan 12 01:47:22 2015  using block size 65536 for processor cache size 8192 kB
Mon Jan 12 01:47:23 2015  commencing Lanczos iteration (8 threads)
Mon Jan 12 01:47:23 2015  memory use: 127.2 MB
Mon Jan 12 01:47:32 2015  linear algebra at 2.6%, ETA 0h 5m
Mon Jan 12 01:52:51 2015  lanczos halted after 7327 iterations (dim = 463261)
Mon Jan 12 01:52:51 2015  recovered 37 nontrivial dependencies
Mon Jan 12 01:52:51 2015  BLanczosTime: 355
Mon Jan 12 01:52:51 2015  
Mon Jan 12 01:52:51 2015  commencing square root phase
Mon Jan 12 01:52:51 2015  reading relations for dependency 1
Mon Jan 12 01:52:51 2015  read 231781 cycles
Mon Jan 12 01:52:52 2015  cycles contain 711570 unique relations
Mon Jan 12 01:52:59 2015  read 711570 relations
Mon Jan 12 01:53:01 2015  multiplying 711570 relations
Mon Jan 12 01:53:15 2015  multiply complete, coefficients have about 23.58 million bits
Mon Jan 12 01:53:15 2015  initial square root is modulo 5929591
Mon Jan 12 01:53:33 2015  sqrtTime: 42
--
n: 25259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259
m: 10000000000000000000000000000000
deg: 5
c5: 6820
c0: -7
skew: 0.25
# Murphy_E = 4.517e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:03:07 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 7 秒 (日本時間)

682×10161-79

c140

name 名前Serge Batalov
date 日付January 9, 2015 03:49:10 UTC 2015 年 1 月 9 日 (金) 12 時 49 分 10 秒 (日本時間)
composite number 合成数
18669192923443598883147556682349524006762350441765018777830287171153266804248163609163298978511684269030567696983926431560203031490337824581<140>
prime factors 素因数
5709430051701024531262459142377<31>
composite cofactor 合成数の残り
3269887318766860159616299889626048437593848134526557174326303053631624822617175801338315167249750056211001853<109>
factorization results 素因数分解の結果
Input number is 18669192923443598883147556682349524006762350441765018777830287171153266804248163609163298978511684269030567696983926431560203031490337824581 (140 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=72678487
Step 1 took 9873ms
Step 2 took 8603ms
********** Factor found in step 2: 5709430051701024531262459142377
Found probable prime factor of 31 digits: 5709430051701024531262459142377
Composite cofactor 3269887318766860159616299889626048437593848134526557174326303053631624822617175801338315167249750056211001853 has 109 digits

c109

name 名前Cyp
date 日付January 10, 2015 05:53:16 UTC 2015 年 1 月 10 日 (土) 14 時 53 分 16 秒 (日本時間)
composite number 合成数
3269887318766860159616299889626048437593848134526557174326303053631624822617175801338315167249750056211001853<109>
prime factors 素因数
5896570271256003900121868492050815611<37>
554540549564307162337574546088753556635962631229295313108112474859214823<72>
factorization results 素因数分解の結果
01/10/15 05:30:27 v1.34.3, 
01/10/15 05:30:27 v1.34.3, ****************************
01/10/15 05:30:27 v1.34.3, Starting factorization of 3269887318766860159616299889626048437593848134526557174326303053631624822617175801338315167249750056211001853
01/10/15 05:30:27 v1.34.3, using pretesting plan: none
01/10/15 05:30:27 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/10/15 05:30:27 v1.34.3, ****************************
01/10/15 05:30:27 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C109
01/10/15 05:30:27 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C109
01/10/15 05:30:27 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C109
01/10/15 05:30:27 v1.34.3, final ECM pretested depth: 0.00
01/10/15 05:30:27 v1.34.3, scheduler: switching to sieve method
01/10/15 05:30:27 v1.34.3, nfs: commencing nfs on c109: 3269887318766860159616299889626048437593848134526557174326303053631624822617175801338315167249750056211001853
01/10/15 05:30:27 v1.34.3, nfs: commencing poly selection with 8 threads
01/10/15 05:30:27 v1.34.3, nfs: setting deadline of 397 seconds
01/10/15 05:38:01 v1.34.3, nfs: completed 85 ranges of size 250 in 454.1488 seconds
01/10/15 05:38:01 v1.34.3, nfs: best poly = # norm 6.682311e-15 alpha -4.825137 e 3.279e-09 rroots 4
01/10/15 05:38:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 05:42:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
[7 lines snipped]
01/10/15 06:24:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 06:29:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 06:34:40 v1.34.3, nfs: commencing msieve filtering
01/10/15 06:35:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 06:40:42 v1.34.3, nfs: commencing msieve filtering
01/10/15 06:41:31 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 06:46:37 v1.34.3, nfs: commencing msieve filtering
01/10/15 06:47:43 v1.34.3, nfs: commencing msieve linear algebra
01/10/15 06:52:38 v1.34.3, nfs: commencing msieve sqrt
01/10/15 06:53:15 v1.34.3, prp37 = 5896570271256003900121868492050815611
01/10/15 06:53:15 v1.34.3, prp72 = 554540549564307162337574546088753556635962631229295313108112474859214823
01/10/15 06:53:15 v1.34.3, NFS elapsed time = 4968.3461 seconds.
01/10/15 06:53:15 v1.34.3, 
01/10/15 06:53:15 v1.34.3, 
01/10/15 06:53:15 v1.34.3, Total factoring time = 4968.3681 seconds
--
Sat Jan 10 06:34:40 2015  
Sat Jan 10 06:34:40 2015  commencing relation filtering
Sat Jan 10 06:34:40 2015  estimated available RAM is 15987.3 MB
Sat Jan 10 06:34:40 2015  commencing duplicate removal, pass 1
Sat Jan 10 06:34:54 2015  found 445985 hash collisions in 4838013 relations
Sat Jan 10 06:34:59 2015  added 161101 free relations
Sat Jan 10 06:34:59 2015  commencing duplicate removal, pass 2
Sat Jan 10 06:35:03 2015  found 172752 duplicates and 4826362 unique relations
Sat Jan 10 06:35:03 2015  memory use: 20.6 MB
Sat Jan 10 06:35:03 2015  reading ideals above 100000
Sat Jan 10 06:35:03 2015  commencing singleton removal, initial pass
Sat Jan 10 06:35:22 2015  memory use: 172.2 MB
Sat Jan 10 06:35:22 2015  reading all ideals from disk
Sat Jan 10 06:35:22 2015  memory use: 161.1 MB
Sat Jan 10 06:35:22 2015  keeping 5760337 ideals with weight <= 200, target excess is 26286
Sat Jan 10 06:35:23 2015  commencing in-memory singleton removal
Sat Jan 10 06:35:23 2015  begin with 4826362 relations and 5760337 unique ideals
Sat Jan 10 06:35:25 2015  reduce to 1093071 relations and 1232451 ideals in 36 passes
Sat Jan 10 06:35:25 2015  max relations containing the same ideal: 70
Sat Jan 10 06:40:42 2015  
Sat Jan 10 06:40:42 2015  commencing relation filtering
Sat Jan 10 06:40:42 2015  estimated available RAM is 15987.3 MB
Sat Jan 10 06:40:42 2015  commencing duplicate removal, pass 1
Sat Jan 10 06:40:59 2015  found 545565 hash collisions in 5454027 relations
Sat Jan 10 06:41:02 2015  added 967 free relations
Sat Jan 10 06:41:02 2015  commencing duplicate removal, pass 2
Sat Jan 10 06:41:06 2015  found 203925 duplicates and 5251069 unique relations
Sat Jan 10 06:41:06 2015  memory use: 20.6 MB
Sat Jan 10 06:41:06 2015  reading ideals above 100000
Sat Jan 10 06:41:06 2015  commencing singleton removal, initial pass
Sat Jan 10 06:41:28 2015  memory use: 172.2 MB
Sat Jan 10 06:41:28 2015  reading all ideals from disk
Sat Jan 10 06:41:28 2015  memory use: 175.4 MB
Sat Jan 10 06:41:29 2015  keeping 5937129 ideals with weight <= 200, target excess is 29187
Sat Jan 10 06:41:29 2015  commencing in-memory singleton removal
Sat Jan 10 06:41:29 2015  begin with 5251069 relations and 5937129 unique ideals
Sat Jan 10 06:41:31 2015  reduce to 1786102 relations and 1801232 ideals in 21 passes
Sat Jan 10 06:41:31 2015  max relations containing the same ideal: 101
Sat Jan 10 06:46:37 2015  
Sat Jan 10 06:46:37 2015  commencing relation filtering
Sat Jan 10 06:46:37 2015  estimated available RAM is 15987.3 MB
Sat Jan 10 06:46:37 2015  commencing duplicate removal, pass 1
Sat Jan 10 06:46:54 2015  found 627915 hash collisions in 5896742 relations
Sat Jan 10 06:46:59 2015  added 712 free relations
Sat Jan 10 06:46:59 2015  commencing duplicate removal, pass 2
Sat Jan 10 06:47:03 2015  found 236336 duplicates and 5661118 unique relations
Sat Jan 10 06:47:03 2015  memory use: 20.6 MB
Sat Jan 10 06:47:03 2015  reading ideals above 100000
Sat Jan 10 06:47:03 2015  commencing singleton removal, initial pass
Sat Jan 10 06:47:26 2015  memory use: 172.2 MB
Sat Jan 10 06:47:27 2015  reading all ideals from disk
Sat Jan 10 06:47:27 2015  memory use: 189.2 MB
Sat Jan 10 06:47:27 2015  keeping 6090982 ideals with weight <= 200, target excess is 32111
Sat Jan 10 06:47:27 2015  commencing in-memory singleton removal
Sat Jan 10 06:47:28 2015  begin with 5661118 relations and 6090982 unique ideals
Sat Jan 10 06:47:30 2015  reduce to 2388710 relations and 2244112 ideals in 18 passes
Sat Jan 10 06:47:30 2015  max relations containing the same ideal: 112
Sat Jan 10 06:47:30 2015  removing 416894 relations and 363219 ideals in 53675 cliques
Sat Jan 10 06:47:30 2015  commencing in-memory singleton removal
Sat Jan 10 06:47:30 2015  begin with 1971816 relations and 2244112 unique ideals
Sat Jan 10 06:47:31 2015  reduce to 1908864 relations and 1815902 ideals in 10 passes
Sat Jan 10 06:47:31 2015  max relations containing the same ideal: 96
Sat Jan 10 06:47:31 2015  removing 313547 relations and 259872 ideals in 53675 cliques
Sat Jan 10 06:47:31 2015  commencing in-memory singleton removal
Sat Jan 10 06:47:31 2015  begin with 1595317 relations and 1815902 unique ideals
Sat Jan 10 06:47:32 2015  reduce to 1548874 relations and 1508191 ideals in 10 passes
Sat Jan 10 06:47:32 2015  max relations containing the same ideal: 84
Sat Jan 10 06:47:32 2015  relations with 0 large ideals: 513
Sat Jan 10 06:47:32 2015  relations with 1 large ideals: 537
Sat Jan 10 06:47:32 2015  relations with 2 large ideals: 5712
Sat Jan 10 06:47:32 2015  relations with 3 large ideals: 36676
Sat Jan 10 06:47:32 2015  relations with 4 large ideals: 140675
Sat Jan 10 06:47:32 2015  relations with 5 large ideals: 339788
Sat Jan 10 06:47:32 2015  relations with 6 large ideals: 445590
Sat Jan 10 06:47:32 2015  relations with 7+ large ideals: 579383
Sat Jan 10 06:47:32 2015  commencing 2-way merge
Sat Jan 10 06:47:33 2015  reduce to 893828 relation sets and 853147 unique ideals
Sat Jan 10 06:47:33 2015  ignored 2 oversize relation sets
Sat Jan 10 06:47:33 2015  commencing full merge
Sat Jan 10 06:47:40 2015  memory use: 91.7 MB
Sat Jan 10 06:47:40 2015  found 434415 cycles, need 427347
Sat Jan 10 06:47:40 2015  weight of 427347 cycles is about 29919976 (70.01/cycle)
Sat Jan 10 06:47:40 2015  distribution of cycle lengths:
Sat Jan 10 06:47:40 2015  1 relations: 45950
Sat Jan 10 06:47:40 2015  2 relations: 46431
Sat Jan 10 06:47:40 2015  3 relations: 47158
Sat Jan 10 06:47:40 2015  4 relations: 42676
Sat Jan 10 06:47:40 2015  5 relations: 39529
Sat Jan 10 06:47:40 2015  6 relations: 34179
Sat Jan 10 06:47:40 2015  7 relations: 30001
Sat Jan 10 06:47:40 2015  8 relations: 26270
Sat Jan 10 06:47:40 2015  9 relations: 22753
Sat Jan 10 06:47:40 2015  10+ relations: 92400
Sat Jan 10 06:47:40 2015  heaviest cycle: 23 relations
Sat Jan 10 06:47:40 2015  commencing cycle optimization
Sat Jan 10 06:47:41 2015  start with 2674232 relations
Sat Jan 10 06:47:43 2015  pruned 58192 relations
Sat Jan 10 06:47:43 2015  memory use: 88.8 MB
Sat Jan 10 06:47:43 2015  distribution of cycle lengths:
Sat Jan 10 06:47:43 2015  1 relations: 45950
Sat Jan 10 06:47:43 2015  2 relations: 47377
Sat Jan 10 06:47:43 2015  3 relations: 48693
Sat Jan 10 06:47:43 2015  4 relations: 43574
Sat Jan 10 06:47:43 2015  5 relations: 40336
Sat Jan 10 06:47:43 2015  6 relations: 34637
Sat Jan 10 06:47:43 2015  7 relations: 30263
Sat Jan 10 06:47:43 2015  8 relations: 26374
Sat Jan 10 06:47:43 2015  9 relations: 22782
Sat Jan 10 06:47:43 2015  10+ relations: 87361
Sat Jan 10 06:47:43 2015  heaviest cycle: 23 relations
Sat Jan 10 06:47:43 2015  RelProcTime: 66
Sat Jan 10 06:47:43 2015  
Sat Jan 10 06:47:43 2015  commencing linear algebra
Sat Jan 10 06:47:43 2015  read 427347 cycles
Sat Jan 10 06:47:44 2015  cycles contain 1483603 unique relations
Sat Jan 10 06:47:51 2015  read 1483603 relations
Sat Jan 10 06:47:51 2015  using 20 quadratic characters above 67107674
Sat Jan 10 06:47:56 2015  building initial matrix
Sat Jan 10 06:48:03 2015  memory use: 184.5 MB
Sat Jan 10 06:48:03 2015  read 427347 cycles
Sat Jan 10 06:48:03 2015  matrix is 427167 x 427347 (127.8 MB) with weight 40138718 (93.93/col)
Sat Jan 10 06:48:03 2015  sparse part has weight 28803423 (67.40/col)
Sat Jan 10 06:48:05 2015  filtering completed in 2 passes
Sat Jan 10 06:48:05 2015  matrix is 426062 x 426241 (127.7 MB) with weight 40091883 (94.06/col)
Sat Jan 10 06:48:05 2015  sparse part has weight 28787162 (67.54/col)
Sat Jan 10 06:48:06 2015  matrix starts at (0, 0)
Sat Jan 10 06:48:06 2015  matrix is 426062 x 426241 (127.7 MB) with weight 40091883 (94.06/col)
Sat Jan 10 06:48:06 2015  sparse part has weight 28787162 (67.54/col)
Sat Jan 10 06:48:06 2015  saving the first 48 matrix rows for later
Sat Jan 10 06:48:06 2015  matrix includes 64 packed rows
Sat Jan 10 06:48:06 2015  matrix is 426014 x 426241 (122.9 MB) with weight 31945846 (74.95/col)
Sat Jan 10 06:48:06 2015  sparse part has weight 27942545 (65.56/col)
Sat Jan 10 06:48:06 2015  using block size 65536 for processor cache size 8192 kB
Sat Jan 10 06:48:07 2015  commencing Lanczos iteration (8 threads)
Sat Jan 10 06:48:07 2015  memory use: 116.8 MB
Sat Jan 10 06:48:15 2015  linear algebra at 2.8%, ETA 0h 4m
Sat Jan 10 06:52:37 2015  lanczos halted after 6739 iterations (dim = 426014)
Sat Jan 10 06:52:38 2015  recovered 35 nontrivial dependencies
Sat Jan 10 06:52:38 2015  BLanczosTime: 295
Sat Jan 10 06:52:38 2015  
Sat Jan 10 06:52:38 2015  commencing square root phase
Sat Jan 10 06:52:38 2015  reading relations for dependency 1
Sat Jan 10 06:52:38 2015  read 213398 cycles
Sat Jan 10 06:52:38 2015  cycles contain 742986 unique relations
Sat Jan 10 06:52:43 2015  read 742986 relations
Sat Jan 10 06:52:45 2015  multiplying 742986 relations
Sat Jan 10 06:52:58 2015  multiply complete, coefficients have about 32.37 million bits
Sat Jan 10 06:52:58 2015  initial square root is modulo 1977241171
Sat Jan 10 06:53:15 2015  sqrtTime: 37
--
n: 3269887318766860159616299889626048437593848134526557174326303053631624822617175801338315167249750056211001853
skew: 7097884.51
c0: 2170692661970930623156270381693
c1: -6818127805525277193364
c2: -194283404163317217
c3: 300699036
c4: 2340
Y0: -193343342819872321847394892
Y1: 129217176882647
rlim: 3060000
alim: 3060000
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 00:03:07 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 7 秒 (日本時間)

682×10163-79

c122

name 名前Ignacio Santos
date 日付January 13, 2015 15:51:40 UTC 2015 年 1 月 14 日 (水) 0 時 51 分 40 秒 (日本時間)
composite number 合成数
15502577776669056753007142711622953481674449981705912920081423993977465892694540531868733576360112912677921878785208744347<122>
prime factors 素因数
557663071079228407413305682602051<33>
27799183020434522828403508730961625395374732950343448016351169371647936369584159066775497<89>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1312927434
Step 1 took 4609ms
Step 2 took 3859ms
********** Factor found in step 2: 557663071079228407413305682602051
Found probable prime factor of 33 digits: 557663071079228407413305682602051
Probable prime cofactor 27799183020434522828403508730961625395374732950343448016351169371647936369584159066775497 has 89 digits
software ソフトウェア
GMP-ECM 7.0

ECM

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

682×10166-79

c167

name 名前Maksym Voznyy
date 日付February 2, 2015 02:18:52 UTC 2015 年 2 月 2 日 (月) 11 時 18 分 52 秒 (日本時間)
composite number 合成数
39883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883<167>
prime factors 素因数
1441649335448634370277657097047192526198682436386167065109586232783203<70>
27664869642700666350958747533115373496846718687590445619583887311490530499906427902571179254681561<98>
factorization results 素因数分解の結果
Number: example6
N = 39883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883 (167 digits)
SNFS difficulty: 169 digits.
Divisors found:
r1=1441649335448634370277657097047192526198682436386167065109586232783203 (pp70)
r2=27664869642700666350958747533115373496846718687590445619583887311490530499906427902571179254681561 (pp98)
Version: Msieve v. 1.51 (SVN 845)
Total time: 16.57 hours.
Factorization parameters were as follows:
n: 39883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883
m: 1000000000000000000000000000000000
deg: 5
c5: 6820
c0: -7
skew: 0.25
# Murphy_E = 1.84e-10
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 11062972
Relations: 1784638 relations
Pruned matrix : 1037359 x 1037599
Polynomial selection time: 0.00 hours.
Total sieving time: 13.84 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.94 hours.
time per square root: 0.70 hours.
Prototype def-par.txt line would be: snfs,169,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 16.57 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)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:03:08 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 8 秒 (日本時間)

682×10171-79

c129

name 名前Serge Batalov
date 日付January 8, 2015 23:05:19 UTC 2015 年 1 月 9 日 (金) 8 時 5 分 19 秒 (日本時間)
composite number 合成数
812645238499683613220888411436495739811086035783853330992559694101692039836894840482128532073871787419588679280005635850699032953<129>
prime factors 素因数
289318260182715117874462015115719489<36>
2808828028989488146427333258012301225053598702877798685876126215857259799903736792679450910777<94>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2956488492
Step 1 took 7656ms
Step 2 took 6851ms
********** Factor found in step 2: 289318260182715117874462015115719489
Found probable prime factor of 36 digits: 289318260182715117874462015115719489
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)

682×10172-79

c122

name 名前Erik Branger
date 日付January 29, 2015 07:09:00 UTC 2015 年 1 月 29 日 (木) 16 時 9 分 0 秒 (日本時間)
composite number 合成数
54108043601041946446880330993372063440669826878281854854561189616735743659575694176893716815695255375028177046750903305821<122>
prime factors 素因数
7780698149557578885936440033258687482337<40>
6954137348731180843978247793547967554171816949430477695434938000095273261236315133<82>
factorization results 素因数分解の結果
Number: 75777_172
N = 54108043601041946446880330993372063440669826878281854854561189616735743659575694176893716815695255375028177046750903305821 (122 digits)
Divisors found:
r1=7780698149557578885936440033258687482337 (pp40)
r2=6954137348731180843978247793547967554171816949430477695434938000095273261236315133 (pp82)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 17.33 hours.
Factorization parameters were as follows:
# Murphy_E = 2.234e-10, selected by Erik Branger
# expecting poly E from 2.64e-010 to > 3.04e-010
n: 54108043601041946446880330993372063440669826878281854854561189616735743659575694176893716815695255375028177046750903305821
Y0: -322129911988941509296348
Y1: 8367492614147
c0: -12948055846341213194018388447705
c1: 70540016641105795155492894
c2: 1215733885932852268755
c3: -3162883693563208
c4: -24941535476
c5: 15600
skew: 246948.43
type: gnfs
# selected mechanically
rlim: 5900000
alim: 5900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 9924349
Relations: 1340170 relations
Pruned matrix : 777565 x 777793
Polynomial selection time: 0.00 hours.
Total sieving time: 16.91 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.34 hours.
time per square root: 0.03 hours.
Prototype def-par.txt line would be: gnfs,121,5,65,2000,1e-05,0.28,250,20,50000,3600,5900000,5900000,27,27,52,52,2.5,2.5,100000
total time: 17.33 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 11, 2015 00:12:25 UTC 2015 年 1 月 11 日 (日) 9 時 12 分 25 秒 (日本時間)
4511e6600 / 4409Pierre JammesJanuary 18, 2015 18:10:44 UTC 2015 年 1 月 19 日 (月) 3 時 10 分 44 秒 (日本時間)

682×10174-79

c146

name 名前Jo Yeong Uk
date 日付May 17, 2015 22:24:33 UTC 2015 年 5 月 18 日 (月) 7 時 24 分 33 秒 (日本時間)
composite number 合成数
23571635897417652682565145381595807084511060009101940467709675301757883794720677162502528705473366226604682381424263883532153527546277464727038393<146>
prime factors 素因数
693999484044349463263011722605665161807141167814620902523<57>
33964918475229481263442506204316547224759148968880569673813384432808984263910900587865691<89>
factorization results 素因数分解の結果
Number: 75777_174
N=23571635897417652682565145381595807084511060009101940467709675301757883794720677162502528705473366226604682381424263883532153527546277464727038393
  ( 146 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=693999484044349463263011722605665161807141167814620902523
 r2=33964918475229481263442506204316547224759148968880569673813384432808984263910900587865691
Version: 
Total time: 40.86 hours.
Scaled time: 214.35 units (timescale=5.246).
Factorization parameters were as follows:
n: 23571635897417652682565145381595807084511060009101940467709675301757883794720677162502528705473366226604682381424263883532153527546277464727038393
m: 100000000000000000000000000000000000
deg: 5
c5: 341
c0: -35
skew: 0.63
# Murphy_E = 1.059e-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, 8400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18562695
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1423687 x 1423935
Total sieving time: 36.23 hours.
Total relation processing time: 2.13 hours.
Matrix solve time: 2.42 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000
total time: 40.86 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 00:03:09 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 9 秒 (日本時間)
4511e6600 / 4409KTakahashiApril 29, 2015 11:29:21 UTC 2015 年 4 月 29 日 (水) 20 時 29 分 21 秒 (日本時間)

682×10177-79

c167

name 名前Jo Yeong Uk
date 日付November 2, 2015 06:41:37 UTC 2015 年 11 月 2 日 (月) 15 時 41 分 37 秒 (日本時間)
composite number 合成数
57258069707443554267607737657783686064178225309335846459020017147667652960890122200354798705576041643248412363986749414455425136992998110504862220135357518495350958253<167>
prime factors 素因数
1138670105664493544887502571927550002485952390023<49>
115164875804216665493768347319572152241933416543905141651<57>
436635196297682110483701970243049602054629772085024140910980361<63>
factorization results 素因数分解の結果
Number: 75777_177
N=57258069707443554267607737657783686064178225309335846459020017147667652960890122200354798705576041643248412363986749414455425136992998110504862220135357518495350958253
  ( 167 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=1138670105664493544887502571927550002485952390023
 r2=115164875804216665493768347319572152241933416543905141651
 r3=436635196297682110483701970243049602054629772085024140910980361
Version: 
Total time: 62.58 hours.
Scaled time: 328.87 units (timescale=5.255).
Factorization parameters were as follows:
n: 57258069707443554267607737657783686064178225309335846459020017147667652960890122200354798705576041643248412363986749414455425136992998110504862220135357518495350958253
m: 100000000000000000000000000000000000
deg: 5
c5: 68200
c0: -7
skew: 0.16
# Murphy_E = 7.022e-11
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [5000000, 11400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19196425
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1698333 x 1698580
Total sieving time: 55.23 hours.
Total relation processing time: 3.12 hours.
Matrix solve time: 3.92 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,53,53,2.5,2.5,100000
total time: 62.58 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49365480k/51380224k available (5395k kernel code, 1086460k absent, 928284k reserved, 7013k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.95 BogoMIPS (lpj=3399977)
Total of 12 processors activated (81599.44 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:03:10 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 10 秒 (日本時間)
4511e6600 / 4409KTakahashiMay 15, 2015 11:42:55 UTC 2015 年 5 月 15 日 (金) 20 時 42 分 55 秒 (日本時間)

682×10180-79

c154

name 名前Jo Yeong Uk
date 日付October 3, 2015 05:38:13 UTC 2015 年 10 月 3 日 (土) 14 時 38 分 13 秒 (日本時間)
composite number 合成数
4104263720207523938773969192816256213251713166967328768791562951441733135612967090561098911827332960882859827098822389080332354651724812104380394136384103<154>
prime factors 素因数
4063640752410614737260496622083514002216969<43>
1009996692688154342087337189855967624779842326570934086958877214508939205589219225101132619583026038111280706287<112>
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 4104263720207523938773969192816256213251713166967328768791562951441733135612967090561098911827332960882859827098822389080332354651724812104380394136384103 (154 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2948861867
Step 1 took 24713ms
********** Factor found in step 1: 4063640752410614737260496622083514002216969
Found probable prime factor of 43 digits: 4063640752410614737260496622083514002216969
Probable prime cofactor 1009996692688154342087337189855967624779842326570934086958877214508939205589219225101132619583026038111280706287 has 112 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:03:10 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 10 秒 (日本時間)
4511e6585 / 4409CypMay 12, 2015 04:52:38 UTC 2015 年 5 月 12 日 (火) 13 時 52 分 38 秒 (日本時間)

682×10181-79

c151

name 名前Jo Yeong Uk
date 日付February 22, 2016 04:29:37 UTC 2016 年 2 月 22 日 (月) 13 時 29 分 37 秒 (日本時間)
composite number 合成数
3331564704118044042985530502517003610253101982196955754413104627795013957403854190675945206706948300109603881216954626713798509417560886799480446840307<151>
prime factors 素因数
43355294769232620385847034198538784082230749080965575777088745738556755511<74>
76843318027266915955592480675618218021484520250446067537576852313460073062437<77>
factorization results 素因数分解の結果
Number: 75777_181
N=3331564704118044042985530502517003610253101982196955754413104627795013957403854190675945206706948300109603881216954626713798509417560886799480446840307
  ( 151 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=43355294769232620385847034198538784082230749080965575777088745738556755511
 r2=76843318027266915955592480675618218021484520250446067537576852313460073062437
Version: 
Total time: 91.62 hours.
Scaled time: 481.66 units (timescale=5.257).
Factorization parameters were as follows:
n: 3331564704118044042985530502517003610253101982196955754413104627795013957403854190675945206706948300109603881216954626713798509417560886799480446840307
m: 1000000000000000000000000000000000000
deg: 5
c5: 6820
c0: -7
skew: 0.25
# Murphy_E = 4.617e-11
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3300000, 7600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19338094
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1502044 x 1502292
Total sieving time: 85.10 hours.
Total relation processing time: 2.41 hours.
Matrix solve time: 2.91 hours.
Time per square root: 1.20 hours.
Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000
total time: 91.62 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49365468k/51380224k available (5396k kernel code, 1086460k absent, 928296k reserved, 7012k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400121)
Total of 12 processors activated (81602.90 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 00:03:11 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 11 秒 (日本時間)
4511e6600 / 4409KTakahashiMay 22, 2015 09:21:31 UTC 2015 年 5 月 22 日 (金) 18 時 21 分 31 秒 (日本時間)

682×10182-79

c120

name 名前Erik Branger
date 日付January 28, 2015 15:23:20 UTC 2015 年 1 月 29 日 (木) 0 時 23 分 20 秒 (日本時間)
composite number 合成数
464045332216560313670820223269870006994874575845964236008602584781088837192320426988804494939672118406449451127204042901<120>
prime factors 素因数
552756115780487699923914161879332096126275528224947699<54>
839511891354348216534682867531146326064122178976818418167705389399<66>
factorization results 素因数分解の結果
Number: 75777_182
N = 464045332216560313670820223269870006994874575845964236008602584781088837192320426988804494939672118406449451127204042901 (120 digits)
Divisors found:
r1=552756115780487699923914161879332096126275528224947699 (pp54)
r2=839511891354348216534682867531146326064122178976818418167705389399 (pp66)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 16.59 hours.
Factorization parameters were as follows:
# Murphy_E = 2.734e-10, selected by Erik Branger
# expecting poly E from 3.44e-010 to > 3.95e-010
n: 464045332216560313670820223269870006994874575845964236008602584781088837192320426988804494939672118406449451127204042901
Y0: -97718747472555721218870
Y1: 1189057031191
c0: 517146396117797406850635112991
c1: 19131328301235951734942688
c2: -25910472419222564443
c3: -1963082869289952
c4: -251322484
c5: 52080
skew: 132130.99
type: gnfs
# selected mechanically
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 9266852
Relations: 1179938 relations
Pruned matrix : 694777 x 695003
Polynomial selection time: 0.00 hours.
Total sieving time: 16.23 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.28 hours.
time per square root: 0.03 hours.
Prototype def-par.txt line would be: gnfs,119,5,63,2000,2.6e-05,0.28,250,20,50000,3600,5100000,5100000,27,27,51,51,2.5,2.5,100000
total time: 16.59 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 11, 2015 00:12:14 UTC 2015 年 1 月 11 日 (日) 9 時 12 分 14 秒 (日本時間)
4511e6800 / 4409100Pierre JammesJanuary 17, 2015 15:45:03 UTC 2015 年 1 月 18 日 (日) 0 時 45 分 3 秒 (日本時間)
700Pierre JammesJanuary 18, 2015 05:53:16 UTC 2015 年 1 月 18 日 (日) 14 時 53 分 16 秒 (日本時間)

682×10183-79

c144

name 名前Jo Yeong Uk
date 日付May 22, 2016 00:31:06 UTC 2016 年 5 月 22 日 (日) 9 時 31 分 6 秒 (日本時間)
composite number 合成数
262152734608897010874075597752074350620151488369279853539270116170709098099916601977571412285804750179721986991556606882800798895590847826902411<144>
prime factors 素因数
1618384582330934114412258583740532842432946285908460754267<58>
161984201697795779258380798273069818812756798123744106365442139213319837809730352594833<87>
factorization results 素因数分解の結果
Number: 75777_183
N=262152734608897010874075597752074350620151488369279853539270116170709098099916601977571412285804750179721986991556606882800798895590847826902411
  ( 144 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=1618384582330934114412258583740532842432946285908460754267
 r2=161984201697795779258380798273069818812756798123744106365442139213319837809730352594833
Version: 
Total time: 96.76 hours.
Scaled time: 508.59 units (timescale=5.256).
Factorization parameters were as follows:
n: 262152734608897010874075597752074350620151488369279853539270116170709098099916601977571412285804750179721986991556606882800798895590847826902411
m: 2000000000000000000000000000000000000
deg: 5
c5: 42625
c0: -14
skew: 0.20
# Murphy_E = 3.764e-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, 8200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20942991
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1702200 x 1702448
Total sieving time: 90.16 hours.
Total relation processing time: 2.55 hours.
Matrix solve time: 3.87 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,54,54,2.5,2.5,100000
total time: 96.76 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
GGMFS / 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 00:03:11 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 11 秒 (日本時間)
1CypJanuary 9, 2015 00:44:01 UTC 2015 年 1 月 9 日 (金) 9 時 44 分 1 秒 (日本時間)
4511e6600 / 4409KTakahashiMay 28, 2015 21:16:26 UTC 2015 年 5 月 29 日 (金) 6 時 16 分 26 秒 (日本時間)

682×10184-79

c177

name 名前KTakahashi
date 日付June 3, 2015 20:25:29 UTC 2015 年 6 月 4 日 (木) 5 時 25 分 29 秒 (日本時間)
composite number 合成数
361258901929250942123925353113140067068226838325648045204236984180417224390488352056592694822999768412226451552756711429728029290492075783046318382479903590652504753892894555403<177>
prime factors 素因数
10601535057002181314520348265392667<35>
composite cofactor 合成数の残り
34076093696510860997471529275588831163697983388109219395456357250063432386199299813341577036593527687334385018516876526369229145573069690464209<143>
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 361258901929250942123925353113140067068226838325648045204236984180417224390488352056592694822999768412226451552756711429728029290492075783046318382479903590652504753892894555403 (177 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=775438900
Step 1 took 59530ms
Step 2 took 23166ms
********** Factor found in step 2: 10601535057002181314520348265392667
Found probable prime factor of 35 digits: 10601535057002181314520348265392667
Composite cofactor 34076093696510860997471529275588831163697983388109219395456357250063432386199299813341577036593527687334385018516876526369229145573069690464209 has 143 digits

c143

name 名前Jo Yeong Uk
date 日付June 26, 2016 01:40:24 UTC 2016 年 6 月 26 日 (日) 10 時 40 分 24 秒 (日本時間)
composite number 合成数
34076093696510860997471529275588831163697983388109219395456357250063432386199299813341577036593527687334385018516876526369229145573069690464209<143>
prime factors 素因数
310484661524279012032734461657075650552855538143<48>
109751295053415087895610824420226080966959012997732658382356176148741362050861514771034858128463<96>
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 34076093696510860997471529275588831163697983388109219395456357250063432386199299813341577036593527687334385018516876526369229145573069690464209 (143 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=417956306
Step 1 took 24760ms
Step 2 took 8604ms
********** Factor found in step 2: 310484661524279012032734461657075650552855538143
Found probable prime factor of 48 digits: 310484661524279012032734461657075650552855538143
Probable prime cofactor 109751295053415087895610824420226080966959012997732658382356176148741362050861514771034858128463 has 96 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:03:12 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 12 秒 (日本時間)
4511e6600 / 4409KTakahashiJune 4, 2015 13:45:12 UTC 2015 年 6 月 4 日 (木) 22 時 45 分 12 秒 (日本時間)

682×10187-79

c189

name 名前Cyp
date 日付March 12, 2015 14:44:04 UTC 2015 年 3 月 12 日 (木) 23 時 44 分 4 秒 (日本時間)
composite number 合成数
757777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<189>
prime factors 素因数
6651961456647793953143408063738002888385093506930248264833510968263688302314639087<82>
113917944762063338992141684335751660516592647759238574774979467770483895918788344219915986622699037483059871<108>
factorization results 素因数分解の結果
03/10/15 23:51:47 v1.34.3, 
03/10/15 23:51:47 v1.34.3, ****************************
03/10/15 23:51:47 v1.34.3, Starting factorization of 757777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
03/10/15 23:51:47 v1.34.3, using pretesting plan: none
03/10/15 23:51:47 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
03/10/15 23:51:47 v1.34.3, ****************************
03/10/15 23:51:47 v1.34.3, nfs: commencing nfs on c189: 757777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
03/10/15 23:51:47 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
03/10/15 23:51:47 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/11/15 00:20:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
[72 lines snipped]
03/12/15 12:21:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/12/15 12:51:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/12/15 13:21:28 v1.34.3, nfs: commencing msieve filtering
03/12/15 13:26:08 v1.34.3, nfs: commencing msieve linear algebra
03/12/15 15:39:25 v1.34.3, nfs: commencing msieve sqrt
03/12/15 15:43:58 v1.34.3, prp82 = 6651961456647793953143408063738002888385093506930248264833510968263688302314639087
03/12/15 15:43:58 v1.34.3, prp108 = 113917944762063338992141684335751660516592647759238574774979467770483895918788344219915986622699037483059871
03/12/15 15:43:58 v1.34.3, NFS elapsed time = 143531.6604 seconds.
03/12/15 15:43:58 v1.34.3, 
03/12/15 15:43:58 v1.34.3, 
03/12/15 15:43:58 v1.34.3, Total factoring time = 143531.6619 seconds
--
Thu Mar 12 13:21:28 2015  
Thu Mar 12 13:21:28 2015  commencing relation filtering
Thu Mar 12 13:21:28 2015  estimated available RAM is 15987.3 MB
Thu Mar 12 13:21:28 2015  commencing duplicate removal, pass 1
Thu Mar 12 13:22:31 2015  skipped 4 relations with b > 2^32
Thu Mar 12 13:22:31 2015  found 2975642 hash collisions in 21188303 relations
Thu Mar 12 13:22:51 2015  added 717563 free relations
Thu Mar 12 13:22:51 2015  commencing duplicate removal, pass 2
Thu Mar 12 13:23:09 2015  found 2033692 duplicates and 19872174 unique relations
Thu Mar 12 13:23:09 2015  memory use: 82.6 MB
Thu Mar 12 13:23:09 2015  reading ideals above 720000
Thu Mar 12 13:23:09 2015  commencing singleton removal, initial pass
Thu Mar 12 13:24:39 2015  memory use: 689.0 MB
Thu Mar 12 13:24:39 2015  reading all ideals from disk
Thu Mar 12 13:24:40 2015  memory use: 649.2 MB
Thu Mar 12 13:24:41 2015  keeping 21695000 ideals with weight <= 200, target excess is 116929
Thu Mar 12 13:24:42 2015  commencing in-memory singleton removal
Thu Mar 12 13:24:43 2015  begin with 19872174 relations and 21695000 unique ideals
Thu Mar 12 13:24:53 2015  reduce to 8624850 relations and 8258371 ideals in 20 passes
Thu Mar 12 13:24:53 2015  max relations containing the same ideal: 113
Thu Mar 12 13:24:56 2015  removing 1028189 relations and 912768 ideals in 115421 cliques
Thu Mar 12 13:24:56 2015  commencing in-memory singleton removal
Thu Mar 12 13:24:57 2015  begin with 7596661 relations and 8258371 unique ideals
Thu Mar 12 13:25:02 2015  reduce to 7487276 relations and 7234212 ideals in 13 passes
Thu Mar 12 13:25:02 2015  max relations containing the same ideal: 103
Thu Mar 12 13:25:04 2015  removing 771318 relations and 655897 ideals in 115421 cliques
Thu Mar 12 13:25:04 2015  commencing in-memory singleton removal
Thu Mar 12 13:25:05 2015  begin with 6715958 relations and 7234212 unique ideals
Thu Mar 12 13:25:09 2015  reduce to 6645342 relations and 6506562 ideals in 9 passes
Thu Mar 12 13:25:09 2015  max relations containing the same ideal: 93
Thu Mar 12 13:25:12 2015  relations with 0 large ideals: 2932
Thu Mar 12 13:25:12 2015  relations with 1 large ideals: 563
Thu Mar 12 13:25:12 2015  relations with 2 large ideals: 10859
Thu Mar 12 13:25:12 2015  relations with 3 large ideals: 92718
Thu Mar 12 13:25:12 2015  relations with 4 large ideals: 423978
Thu Mar 12 13:25:12 2015  relations with 5 large ideals: 1127143
Thu Mar 12 13:25:12 2015  relations with 6 large ideals: 1866472
Thu Mar 12 13:25:12 2015  relations with 7+ large ideals: 3120677
Thu Mar 12 13:25:12 2015  commencing 2-way merge
Thu Mar 12 13:25:15 2015  reduce to 3923816 relation sets and 3785036 unique ideals
Thu Mar 12 13:25:15 2015  commencing full merge
Thu Mar 12 13:25:53 2015  memory use: 457.0 MB
Thu Mar 12 13:25:53 2015  found 2016903 cycles, need 1997236
Thu Mar 12 13:25:54 2015  weight of 1997236 cycles is about 139807646 (70.00/cycle)
Thu Mar 12 13:25:54 2015  distribution of cycle lengths:
Thu Mar 12 13:25:54 2015  1 relations: 262711
Thu Mar 12 13:25:54 2015  2 relations: 246529
Thu Mar 12 13:25:54 2015  3 relations: 244683
Thu Mar 12 13:25:54 2015  4 relations: 218432
Thu Mar 12 13:25:54 2015  5 relations: 188789
Thu Mar 12 13:25:54 2015  6 relations: 161600
Thu Mar 12 13:25:54 2015  7 relations: 136934
Thu Mar 12 13:25:54 2015  8 relations: 113321
Thu Mar 12 13:25:54 2015  9 relations: 93311
Thu Mar 12 13:25:54 2015  10+ relations: 330926
Thu Mar 12 13:25:54 2015  heaviest cycle: 22 relations
Thu Mar 12 13:25:54 2015  commencing cycle optimization
Thu Mar 12 13:25:56 2015  start with 11148498 relations
Thu Mar 12 13:26:06 2015  pruned 224409 relations
Thu Mar 12 13:26:06 2015  memory use: 381.5 MB
Thu Mar 12 13:26:06 2015  distribution of cycle lengths:
Thu Mar 12 13:26:06 2015  1 relations: 262711
Thu Mar 12 13:26:06 2015  2 relations: 251554
Thu Mar 12 13:26:06 2015  3 relations: 252399
Thu Mar 12 13:26:06 2015  4 relations: 222430
Thu Mar 12 13:26:06 2015  5 relations: 192051
Thu Mar 12 13:26:06 2015  6 relations: 162606
Thu Mar 12 13:26:06 2015  7 relations: 137096
Thu Mar 12 13:26:06 2015  8 relations: 112293
Thu Mar 12 13:26:06 2015  9 relations: 92259
Thu Mar 12 13:26:06 2015  10+ relations: 311837
Thu Mar 12 13:26:06 2015  heaviest cycle: 22 relations
Thu Mar 12 13:26:08 2015  RelProcTime: 280
Thu Mar 12 13:26:08 2015  
Thu Mar 12 13:26:08 2015  commencing linear algebra
Thu Mar 12 13:26:08 2015  read 1997236 cycles
Thu Mar 12 13:26:10 2015  cycles contain 6477085 unique relations
Thu Mar 12 13:26:40 2015  read 6477085 relations
Thu Mar 12 13:26:45 2015  using 20 quadratic characters above 268435092
Thu Mar 12 13:27:06 2015  building initial matrix
Thu Mar 12 13:27:41 2015  memory use: 808.4 MB
Thu Mar 12 13:27:42 2015  read 1997236 cycles
Thu Mar 12 13:27:42 2015  matrix is 1997141 x 1997236 (601.0 MB) with weight 177878255 (89.06/col)
Thu Mar 12 13:27:42 2015  sparse part has weight 135567965 (67.88/col)
Thu Mar 12 13:27:55 2015  filtering completed in 2 passes
Thu Mar 12 13:27:55 2015  matrix is 1993759 x 1993909 (600.7 MB) with weight 177771280 (89.16/col)
Thu Mar 12 13:27:55 2015  sparse part has weight 135531244 (67.97/col)
Thu Mar 12 13:28:01 2015  matrix starts at (0, 0)
Thu Mar 12 13:28:01 2015  matrix is 1993759 x 1993909 (600.7 MB) with weight 177771280 (89.16/col)
Thu Mar 12 13:28:01 2015  sparse part has weight 135531244 (67.97/col)
Thu Mar 12 13:28:01 2015  saving the first 48 matrix rows for later
Thu Mar 12 13:28:01 2015  matrix includes 64 packed rows
Thu Mar 12 13:28:01 2015  matrix is 1993711 x 1993909 (572.4 MB) with weight 141691474 (71.06/col)
Thu Mar 12 13:28:01 2015  sparse part has weight 130115558 (65.26/col)
Thu Mar 12 13:28:01 2015  using block size 65536 for processor cache size 8192 kB
Thu Mar 12 13:28:05 2015  commencing Lanczos iteration (8 threads)
Thu Mar 12 13:28:05 2015  memory use: 564.5 MB
Thu Mar 12 13:28:11 2015  linear algebra at 0.1%, ETA 2h12m
Thu Mar 12 13:28:13 2015  checkpointing every 910000 dimensions
Thu Mar 12 15:39:24 2015  lanczos halted after 31527 iterations (dim = 1993703)
Thu Mar 12 15:39:25 2015  recovered 38 nontrivial dependencies
Thu Mar 12 15:39:25 2015  BLanczosTime: 7997
Thu Mar 12 15:39:25 2015  
Thu Mar 12 15:39:25 2015  commencing square root phase
Thu Mar 12 15:39:25 2015  reading relations for dependency 1
Thu Mar 12 15:39:25 2015  read 997176 cycles
Thu Mar 12 15:39:26 2015  cycles contain 3237256 unique relations
Thu Mar 12 15:39:48 2015  read 3237256 relations
Thu Mar 12 15:39:58 2015  multiplying 3237256 relations
Thu Mar 12 15:41:46 2015  multiply complete, coefficients have about 123.35 million bits
Thu Mar 12 15:41:46 2015  initial square root is modulo 713570981
Thu Mar 12 15:43:58 2015  sqrtTime: 273
--
n: 757777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
m: 10000000000000000000000000000000000000
deg: 5
c5: 68200
c0: -7
skew: 0.16
# Murphy_E = 2.754e-11
type: snfs
lss: 1
rlim: 10200000
alim: 10200000
lpbr: 28
lpba: 28
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
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62401300Serge BatalovJanuary 9, 2015 00:03:12 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 12 秒 (日本時間)
1CypJanuary 9, 2015 00:55:28 UTC 2015 年 1 月 9 日 (金) 9 時 55 分 28 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:08:50 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 50 秒 (日本時間)
4511e6436KTakahashiFebruary 18, 2015 09:18:06 UTC 2015 年 2 月 18 日 (水) 18 時 18 分 6 秒 (日本時間)
5043e61000 / 7364Serge BatalovJanuary 11, 2015 21:22:41 UTC 2015 年 1 月 12 日 (月) 6 時 22 分 41 秒 (日本時間)

682×10188-79

c169

name 名前Eric Jeancolas
date 日付July 18, 2020 02:41:53 UTC 2020 年 7 月 18 日 (土) 11 時 41 分 53 秒 (日本時間)
composite number 合成数
8380274965304470736404479008280612292442568631840528779631623253316509377451158936455396068705611238064735263532022466684138135443548718940169519532358040198547066212681<169>
prime factors 素因数
112787687726312758052097358410711098209653258169<48>
74301327868692513972391812793112319311340789263249079092916002883424961698969207073085247131375428432709811751242552069649<122>
factorization results 素因数分解の結果
8380274965304470736404479008280612292442568631840528779631623253316509377451158936455396068705611238064735263532022466684138135443548718940169519532358040198547066212681
=112787687726312758052097358410711098209653258169*74301327868692513972391812793112319311340789263249079092916002883424961698969207073085247131375428432709811751242552069649

n: 8380274965304470736404479008280612292442568631840528779631623253316509377451158936455396068705611238064735263532022466684138135443548718940169519532358040198547066212681
skew: 0.10
type: snfs
c0: -7
c5: 682000
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 682000*x^5-7
# g(x) = -x+10000000000000000000000000000000000000

Info:Square Root: Factors: 112787687726312758052097358410711098209653258169 74301327868692513972391812793112319311340789263249079092916002883424961698969207073085247131375428432709811751242552069649
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: 4.66/2.0324
Info:Generate Free Relations: Total cpu/real time for freerel: 103.43/26.3794
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 27763324
Info:Lattice Sieving: Average J: 1894.97 for 3363621 special-q, max bucket fill -bkmult 1.0,1s:1.073650
Info:Lattice Sieving: Total time: 647244s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 58.1/66.2557
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 65.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 467.81/295.454
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 253.89999999999995s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 383.95/228.271
Info:Filtering - Merging: Total cpu/real time for merge: 314.01/90.8173
Info:Filtering - Merging: Total cpu/real time for replay: 92.23/78.9402
Info:Linear Algebra: Total cpu/real time for bwc: 93630.7/24048
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 15296.09, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (72192 iterations)
Info:Linear Algebra: Lingen CPU time 457.82, WCT time 133.13
Info:Linear Algebra: Mksol: WCT time 8369.02, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36352 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 81.14/34.3285
Info:Square Root: Total cpu/real time for sqrt: 776.7/240.395
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.32944e+06/196545
Info:root: Cleaning up computation data in /tmp/cado._lkwngdn
112787687726312758052097358410711098209653258169 74301327868692513972391812793112319311340789263249079092916002883424961698969207073085247131375428432709811751242552069649
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
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 00:03:13 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 13 秒 (日本時間)
4511e64585585CypJune 27, 2015 18:58:11 UTC 2015 年 6 月 28 日 (日) 3 時 58 分 11 秒 (日本時間)
4000Robert BalfourMarch 27, 2020 01:23:14 UTC 2020 年 3 月 27 日 (金) 10 時 23 分 14 秒 (日本時間)

682×10189-79

c183

name 名前Eric Jeancolas
date 日付September 26, 2020 23:55:42 UTC 2020 年 9 月 27 日 (日) 8 時 55 分 42 秒 (日本時間)
composite number 合成数
109776000106438294625196205948732762361411761539819042643499852514092795414778677811082415841741352828699785831257089703695583820857121025975459352083044212603874117600129346775266763<183>
prime factors 素因数
94042969836361882866474129218805422034641211490698574328551304325963133582840784501<83>
1167296187024425587654423099899180078799651391207024283653057808321709892628685328303438124615443263<100>
factorization results 素因数分解の結果
109776000106438294625196205948732762361411761539819042643499852514092795414778677811082415841741352828699785831257089703695583820857121025975459352083044212603874117600129346775266763=94042969836361882866474129218805422034641211490698574328551304325963133582840784501*1167296187024425587654423099899180078799651391207024283653057808321709892628685328303438124615443263

cado polynomial
n: 109776000106438294625196205948732762361411761539819042643499852514092795414778677811082415841741352828699785831257089703695583820857121025975459352083044212603874117600129346775266763
skew: 0.63
type: snfs
c0: -35
c5: 341
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 341*x^5-35
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11300000
tasks.lim1 = 11300000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 94042969836361882866474129218805422034641211490698574328551304325963133582840784501 1167296187024425587654423099899180078799651391207024283653057808321709892628685328303438124615443263
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: 4.88/2.0128
Info:Generate Free Relations: Total cpu/real time for freerel: 102.32/26.2828
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28242767
Info:Lattice Sieving: Average J: 1894.91 for 2844807 special-q, max bucket fill -bkmult 1.0,1s:1.071790
Info:Lattice Sieving: Total time: 623373s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 57.32/62.8911
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 62.300000000000004s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 483.6/305.833
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 263.90000000000003s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 415.53/246.486
Info:Filtering - Merging: Merged matrix has 2352330 rows and total weight 405214919 (172.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 339.36/97.8427
Info:Filtering - Merging: Total cpu/real time for replay: 92.31/80.8864
Info:Linear Algebra: Total cpu/real time for bwc: 97045.4/24790.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 15808.13, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (73728 iterations)
Info:Linear Algebra: Lingen CPU time 469.48, WCT time 136.66
Info:Linear Algebra: Mksol: WCT time 8619.14, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36864 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 84.11/35.3431
Info:Square Root: Total cpu/real time for sqrt: 665.66/209.151
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.27476e+06/650077
Info:root: Cleaning up computation data in /tmp/cado._l24uoio
94042969836361882866474129218805422034641211490698574328551304325963133582840784501 1167296187024425587654423099899180078799651391207024283653057808321709892628685328303438124615443263
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
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)
403e6301300Serge BatalovJanuary 9, 2015 00:03:14 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 14 秒 (日本時間)
1CypJanuary 9, 2015 00:52:31 UTC 2015 年 1 月 9 日 (金) 9 時 52 分 31 秒 (日本時間)
4511e64585585CypFebruary 7, 2015 14:18:01 UTC 2015 年 2 月 7 日 (土) 23 時 18 分 1 秒 (日本時間)
4000Robert BalfourApril 28, 2020 16:48:36 UTC 2020 年 4 月 29 日 (水) 1 時 48 分 36 秒 (日本時間)

682×10191-79

c185

name 名前Eric Jeancolas
date 日付October 12, 2020 01:34:23 UTC 2020 年 10 月 12 日 (月) 10 時 34 分 23 秒 (日本時間)
composite number 合成数
36376405422625209215602176740845192584213609408445982940241388951306160202219659349780468473281213657014066410881118194231967166810078511531852030526496981477610665691360832691464459043<185>
prime factors 素因数
737223300799711166974577899935120815897268759145978398047553719730896258019048405683441831<90>
49342452121583106838950577441683871329958784251655298041021859861419858852161465191295844982053<95>
factorization results 素因数分解の結果
36376405422625209215602176740845192584213609408445982940241388951306160202219659349780468473281213657014066410881118194231967166810078511531852030526496981477610665691360832691464459043=737223300799711166974577899935120815897268759145978398047553719730896258019048405683441831*49342452121583106838950577441683871329958784251655298041021859861419858852161465191295844982053

cado polynomial
n: 36376405422625209215602176740845192584213609408445982940241388951306160202219659349780468473281213657014066410881118194231967166810078511531852030526496981477610665691360832691464459043
skew: 0.25
type: snfs
c0: -7
c5: 6820
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 6820*x^5-7
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11900000
tasks.lim1 = 11900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 49342452121583106838950577441683871329958784251655298041021859861419858852161465191295844982053 737223300799711166974577899935120815897268759145978398047553719730896258019048405683441831
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: 5.21/2.18203
Info:Generate Free Relations: Total cpu/real time for freerel: 102.74/26.5253
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 30764994
Info:Lattice Sieving: Average J: 1895.48 for 4387238 special-q, max bucket fill -bkmult 1.0,1s:1.084450
Info:Lattice Sieving: Total time: 950208s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 64.03/69.138
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 68.49999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 540.12/345.638
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 298.1s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 476.37/281.03
Info:Filtering - Merging: Merged matrix has 2745352 rows and total weight 466866315 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 376.43/109.521
Info:Filtering - Merging: Total cpu/real time for replay: 106.87/93.7438
Info:Linear Algebra: Total cpu/real time for bwc: 134878/34680.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 22129.05, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (86016 iterations)
Info:Linear Algebra: Lingen CPU time 565.56, WCT time 163.62
Info:Linear Algebra: Mksol: WCT time 12068.25, iteration CPU time 0.27, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (43008 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 96.69/40.9188
Info:Square Root: Total cpu/real time for sqrt: 839.8/260.049
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.9266e+06/987582
Info:root: Cleaning up computation data in /tmp/cado.dw_bpl47
49342452121583106838950577441683871329958784251655298041021859861419858852161465191295844982053 737223300799711166974577899935120815897268759145978398047553719730896258019048405683441831
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
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 00:03:14 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 14 秒 (日本時間)
4511e6585 / 4409CypMay 22, 2015 02:36:28 UTC 2015 年 5 月 22 日 (金) 11 時 36 分 28 秒 (日本時間)

682×10193-79

c148

name 名前Cyp
date 日付July 21, 2015 00:30:48 UTC 2015 年 7 月 21 日 (火) 9 時 30 分 48 秒 (日本時間)
composite number 合成数
2189449555862429679815477208633262576488131296149157870187398972184827660155039347450883113398036982321456108292476033966473109643563981546805365311<148>
prime factors 素因数
53342900031054029531411222134558095712313<41>
41044816734519921654621965384572465143699035821198634384062325279012003341146614478012479657656905371848247<107>
factorization results 素因数分解の結果
Run 426 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2486648281
Step 1 took 42243ms
Step 2 took 15595ms
********** Factor found in step 2: 53342900031054029531411222134558095712313
Found probable prime factor of 41 digits: 53342900031054029531411222134558095712313
Probable prime cofactor 41044816734519921654621965384572465143699035821198634384062325279012003341146614478012479657656905371848247 has 107 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)
403e6301 / 848300Serge BatalovJanuary 9, 2015 00:03:15 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 15 秒 (日本時間)
1CypJanuary 9, 2015 00:12:19 UTC 2015 年 1 月 9 日 (金) 9 時 12 分 19 秒 (日本時間)
4511e6426 / 4409CypJuly 21, 2015 00:30:47 UTC 2015 年 7 月 21 日 (火) 9 時 30 分 47 秒 (日本時間)

682×10194-79

c154

name 名前Eric Jeancolas
date 日付August 1, 2021 19:41:48 UTC 2021 年 8 月 2 日 (月) 4 時 41 分 48 秒 (日本時間)
composite number 合成数
1350313725717410740146446178375049172509124772911556118349199011076367791417354339973059288785619553992580182714155297978679476170352957859607930851521039<154>
prime factors 素因数
9038943876606749628927619908226495735110191717<46>
149388440082263584082514638268324611465205057094610746578814851329298197057652153264076233787109814531828067<108>
factorization results 素因数分解の結果
1350313725717410740146446178375049172509124772911556118349199011076367791417354339973059288785619553992580182714155297978679476170352957859607930851521039=9038943876606749628927619908226495735110191717*149388440082263584082514638268324611465205057094610746578814851329298197057652153264076233787109814531828067

cado polynomial
n: 1350313725717410740146446178375049172509124772911556118349199011076367791417354339973059288785619553992580182714155297978679476170352957859607930851521039
skew: 1.01
type: snfs
c0: -35
c5: 341
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 341*x^5-35
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13400000
tasks.lim1 = 13400000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 149388440082263584082514638268324611465205057094610746578814851329298197057652153264076233787109814531828067 9038943876606749628927619908226495735110191717
Info:Square Root: Total cpu/real time for sqrt: 1805.69/247.876
Info:Generate Free Relations: Total cpu/real time for freerel: 147.35/15.0377
Info:Filtering - Merging: Merged matrix has 2954902 rows and total weight 504775939 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1124.19/273.448
Info:Filtering - Merging: Total cpu/real time for replay: 153.01/119.338
Info:Generate Factor Base: Total cpu/real time for makefb: 7.27/1.38316
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1214.17/1174.43
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 930.0000000000002s
Info:Quadratic Characters: Total cpu/real time for characters: 119.29/33.4059
Info:Square Root: Total cpu/real time for sqrt: 1805.69/247.876
Info:Linear Algebra: Total cpu/real time for bwc: 228747/48389.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 142118.83, WCT time 30605.64, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.07, comm-wait 0.0 (92672 iterations)
Info:Linear Algebra: Lingen CPU time 8825.16, WCT time 872.85
Info:Linear Algebra: Mksol: CPU time 76685.61,  WCT time 16618.98, iteration CPU time 0.28, COMM 0.01, cpu-wait 0.07, comm-wait 0.0 (46592 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 933.07/1052.54
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 31287752
Info:Lattice Sieving: Average J: 1893.71 for 4811980 special-q, max bucket fill -bkmult 1.0,1s:1.138980
Info:Lattice Sieving: Total time: 2.57859e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 300.93/269.315
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 267.2s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 4.83831e+06/510879
Info:root: Cleaning up computation data in /tmp/cado.xauieded
149388440082263584082514638268324611465205057094610746578814851329298197057652153264076233787109814531828067 9038943876606749628927619908226495735110191717
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
3 x Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:03:16 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 16 秒 (日本時間)
4511e6585 / 4409CypJune 23, 2015 06:17:19 UTC 2015 年 6 月 23 日 (火) 15 時 17 分 19 秒 (日本時間)

682×10199-79

c186

name 名前Cyp
date 日付February 5, 2015 10:06:39 UTC 2015 年 2 月 5 日 (木) 19 時 6 分 39 秒 (日本時間)
composite number 合成数
126134404462780029501316123979320319830397460481016540411978965704618244909003473478735236105395440813542899735399362319263718903985822872835203000551632711190017722094236491165481760461<186>
prime factors 素因数
26866537084633682423265766455759346087300363<44>
4694851594213182393112839466133017770861466188366345044953346237270600459703807371477200614443382801269810561215041302453921784878834471731847<142>
factorization results 素因数分解の結果
Run 528 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2346290080
Step 1 took 59037ms
Step 2 took 19425ms
********** Factor found in step 2: 26866537084633682423265766455759346087300363
Found probable prime factor of 44 digits: 26866537084633682423265766455759346087300363
Probable prime cofactor 4694851594213182393112839466133017770861466188366345044953346237270600459703807371477200614443382801269810561215041302453921784878834471731847 has 142 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 / 496Serge BatalovJanuary 9, 2015 00:03:17 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 17 秒 (日本時間)
4511e6528 / 4409CypFebruary 5, 2015 10:06:39 UTC 2015 年 2 月 5 日 (木) 19 時 6 分 39 秒 (日本時間)

682×10200-79

c199

name 名前Eric Jeancolas
date 日付October 11, 2020 05:52:09 UTC 2020 年 10 月 11 日 (日) 14 時 52 分 9 秒 (日本時間)
composite number 合成数
3662531550400085924493851028408785779496267654798345953493367703130873744696847645131840395252671714730680414585682831212072391386069491434402019225605499167606465818162289887761129907094141023575533<199>
prime factors 素因数
181943545906825954616930417460968595307407662399<48>
1019733335658669712244888175582003060489373464787<49>
19740497939998541488391756546095091325058369254932151256009357948618370633727505160816148877783680567041<104>
factorization results 素因数分解の結果
3662531550400085924493851028408785779496267654798345953493367703130873744696847645131840395252671714730680414585682831212072391386069491434402019225605499167606465818162289887761129907094141023575533=181943545906825954616930417460968595307407662399*1019733335658669712244888175582003060489373464787*19740497939998541488391756546095091325058369254932151256009357948618370633727505160816148877783680567041

cado polynomial
n: 3662531550400085924493851028408785779496267654798345953493367703130873744696847645131840395252671714730680414585682831212072391386069491434402019225605499167606465818162289887761129907094141023575533
skew: 0.40
type: snfs
c0: -7
c5: 682
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 682*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: 181943545906825954616930417460968595307407662399 1019733335658669712244888175582003060489373464787 19740497939998541488391756546095091325058369254932151256009357948618370633727505160816148877783680567041
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: 7.29/2.71879
Info:Generate Free Relations: Total cpu/real time for freerel: 204.13/52.377
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 49856295
Info:Lattice Sieving: Average J: 1893.71 for 5338861 special-q, max bucket fill -bkmult 1.0,1s:1.070720
Info:Lattice Sieving: Total time: 1.73777e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 102.56/221.303
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 220.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 858.96/781.331
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 677.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 664.83/694.636
Info:Filtering - Merging: Merged matrix has 3840460 rows and total weight 658614165 (171.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 555.74/167.912
Info:Filtering - Merging: Total cpu/real time for replay: 155.55/136.595
Info:Linear Algebra: Total cpu/real time for bwc: 280037/71514.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 45805.4, iteration CPU time 0.36, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (120320 iterations)
Info:Linear Algebra: Lingen CPU time 856.66, WCT time 246.39
Info:Linear Algebra: Mksol: WCT time 24927.17, iteration CPU time 0.39, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (60416 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 142.35/58.1405
Info:Square Root: Total cpu/real time for sqrt: 1156.4/367.022
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.35931e+06/943557
Info:root: Cleaning up computation data in /tmp/cado.se5rlvnu
181943545906825954616930417460968595307407662399 1019733335658669712244888175582003060489373464787 19740497939998541488391756546095091325058369254932151256009357948618370633727505160816148877783680567041
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
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)
403e62401300Serge BatalovJanuary 9, 2015 00:03:17 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 17 秒 (日本時間)
1CypJanuary 9, 2015 00:54:45 UTC 2015 年 1 月 9 日 (金) 9 時 54 分 45 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:08:58 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 58 秒 (日本時間)

682×10201-79

c139

name 名前Erik Branger
date 日付February 6, 2015 23:27:06 UTC 2015 年 2 月 7 日 (土) 8 時 27 分 6 秒 (日本時間)
composite number 合成数
2724268481343578646515406989098951495472053059051737345620281569111234278141812523227734674093624241242035952508936820329326779460715385017<139>
prime factors 素因数
2440726687838740374717606152558993239749002171839439<52>
1116171054677127360744332092091411805194645214392026910169461827983308930495347035565303<88>
factorization results 素因数分解の結果
Number: 75777_201
N = 2724268481343578646515406989098951495472053059051737345620281569111234278141812523227734674093624241242035952508936820329326779460715385017 (139 digits)
Divisors found:
r1=2440726687838740374717606152558993239749002171839439 (pp52)
r2=1116171054677127360744332092091411805194645214392026910169461827983308930495347035565303 (pp88)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 169.17 hours.
Factorization parameters were as follows:
# Murphy_E = 2.453e-11, selected by Erik Branger
# expecting poly E from 2.56e-011 to > 2.94e-011
n: 2724268481343578646515406989098951495472053059051737345620281569111234278141812523227734674093624241242035952508936820329326779460715385017
Y0: -857378423709189637982240509
Y1: 663714303173267
c0: 1696797895072469156520486700852800
c1: -7848429197428138451499215880
c2: -67117044654000534141672
c3: -45282079203369764
c4: 171912597191
c5: 5880
skew: 735177.24
type: gnfs
# selected mechanically
rlim: 16500000
alim: 16500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16500000/16500000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23265099
Relations: 4042284 relations
Pruned matrix : 2482574 x 2482800
Polynomial selection time: 0.00 hours.
Total sieving time: 164.71 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 4.18 hours.
time per square root: 0.13 hours.
Prototype def-par.txt line would be: gnfs,138,5,65,2000,1e-05,0.28,250,20,50000,3600,16500000,16500000,28,28,55,55,2.6,2.6,100000
total time: 169.17 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)
403e6301 / 2318300Serge BatalovJanuary 9, 2015 00:03:18 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 18 秒 (日本時間)
1CypJanuary 9, 2015 01:06:24 UTC 2015 年 1 月 9 日 (金) 10 時 6 分 24 秒 (日本時間)

682×10202-79

c134

name 名前Ignacio Santos
date 日付February 5, 2015 23:03:20 UTC 2015 年 2 月 6 日 (金) 8 時 3 分 20 秒 (日本時間)
composite number 合成数
31466406092436504543939189361495964196402519482934203992886694368924412094237302792966051164555706198024038192009418013860471923792069<134>
prime factors 素因数
409013073710186085036635324008443447473<39>
76932519068406647272961804778006355645892905442510324217608080441469553088834055341611201812053<95>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2778538164
Step 1 took 7735ms
Step 2 took 6031ms
********** Factor found in step 2: 409013073710186085036635324008443447473
Found probable prime factor of 39 digits: 409013073710186085036635324008443447473
Probable prime cofactor 76932519068406647272961804778006355645892905442510324217608080441469553088834055341611201812053 has 95 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 00:03:18 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 18 秒 (日本時間)

682×10203-79

c196

name 名前Bob Backstrom
date 日付April 29, 2021 08:19:28 UTC 2021 年 4 月 29 日 (木) 17 時 19 分 28 秒 (日本時間)
composite number 合成数
1383874683522502672663124480288893633635135560494525976175250338273876156197908501016570916073957050884730223026489686615877448369710000130017867315409700149107771278379686573697069764450000412349<196>
prime factors 素因数
217543197217410858092767615191161011754605903<45>
989918925593475673578928144645155593543787263<45>
6426161414398218779916917436542176810649298075226826389342995513695100111406929577897238103278106295553741<106>
factorization results 素因数分解の結果
#
# N = 682x10^203 - 7
#
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1383874683522502672663124480288893633635135560494525976175250338273876156197908501016570916073957050884730223026489686615877448369710000130017867315409700149107771278379686573697069764450
000412349 (196 digits)
Using B1=36600000, B2=192389627446, polynomial Dickson(12), sigma=1:1649383591
Step 1 took 118904ms
Step 2 took 37979ms
********** Factor found in step 2: 217543197217410858092767615191161011754605903
Found prime factor of 45 digits: 217543197217410858092767615191161011754605903
Composite cofactor 6361378803031334730467066983335868501972696666189646593292560413859752677651842834789564278634580069767901910455094397143402043852623788505650887800883 has 151 digits




Number: n
N=6361378803031334730467066983335868501972696666189646593292560413859752677651842834789564278634580069767901910455094397143402043852623788505650887800883  ( 151 digits)
SNFS difficulty: 205 digits.
Divisors found:

Thu Apr 29 18:10:26 2021  p45 factor: 989918925593475673578928144645155593543787263
Thu Apr 29 18:10:26 2021  p106 factor: 6426161414398218779916917436542176810649298075226826389342995513695100111406929577897238103278106295553741
Thu Apr 29 18:10:26 2021  elapsed time 02:58:00 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.334).
Factorization parameters were as follows:
#
# N = 682x10^203-7 = 757(203)
#
# Input number is 13838746835225026726631244802888936336351355604945259761752503382738761561979085010165709160739570508847302230264896866158774483697100001300178673154097001491077712783796865736970697644
50000412349 (196 digits)
#
# Found prime factor of 45 digits: 217543197217410858092767615191161011754605903
#
# Composite cofactor 6361378803031334730467066983335868501972696666189646593292560413859752677651842834789564278634580069767901910455094397143402043852623788505650887800883 has 151 digits

n: 6361378803031334730467066983335868501972696666189646593292560413859752677651842834789564278634580069767901910455094397143402043852623788505650887800883
m: 10000000000000000000000000000000000000000
deg: 5
c5: 682000
c0: -7
skew: 0.10
# Murphy_E = 5.587e-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 7967345 hash collisions in 52713418 relations (46473030 unique)
Msieve: matrix is 2719764 x 2719989 (953.9 MB)

Sieving start time : 2021/04/29 00:20:10
Sieving end time  : 2021/04/29 15:10:01

Total sieving time: 14hrs 49min 51secs.

Total relation processing time: 2hrs 34min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 1sec.

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) ----------
[    0.118393] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241108K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486128K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.30 BogoMIPS (lpj=12798612)
[    0.152049] smpboot: Total of 16 processors activated (102388.89 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 00:03:19 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 19 秒 (日本時間)
1CypJanuary 9, 2015 00:28:08 UTC 2015 年 1 月 9 日 (金) 9 時 28 分 8 秒 (日本時間)
4511e6585 / 4409CypJune 23, 2015 06:04:39 UTC 2015 年 6 月 23 日 (火) 15 時 4 分 39 秒 (日本時間)

682×10204-79

c162

composite cofactor 合成数の残り
146908180327191167969502578250319478597157715529594161264394441044848106715434674044385730409243572752782239422036092267719489265558553785178452633803666773899431<162>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:03:20 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 20 秒 (日本時間)
4511e6585 / 4409CypJuly 21, 2015 03:02:37 UTC 2015 年 7 月 21 日 (火) 12 時 2 分 37 秒 (日本時間)

682×10207-79

c174

name 名前Serge Batalov
date 日付January 9, 2015 03:49:13 UTC 2015 年 1 月 9 日 (金) 12 時 49 分 13 秒 (日本時間)
composite number 合成数
674143589357780319983480787650181953579976380293917244422776612814438621581448302386347949088731462870536558877959611574910340563868008346763661998426457376349686969095878091<174>
prime factors 素因数
1368544209029701879814683938384268081<37>
composite cofactor 合成数の残り
492599058846442571838610826707739231327496861135489067084033016543168247772735313346454748845422010404955218010213128225219939657373473211<138>
factorization results 素因数分解の結果
Input number is 674143589357780319983480787650181953579976380293917244422776612814438621581448302386347949088731462870536558877959611574910340563868008346763661998426457376349686969095878091 (174 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=526436652
Step 1 took 15747ms
Step 2 took 11372ms
********** Factor found in step 2: 1368544209029701879814683938384268081
Found probable prime factor of 37 digits: 1368544209029701879814683938384268081
Composite cofactor 492599058846442571838610826707739231327496861135489067084033016543168247772735313346454748845422010404955218010213128225219939657373473211 has 138 digits

c138

name 名前Ignacio Santos
date 日付February 6, 2015 21:00:09 UTC 2015 年 2 月 7 日 (土) 6 時 0 分 9 秒 (日本時間)
composite number 合成数
492599058846442571838610826707739231327496861135489067084033016543168247772735313346454748845422010404955218010213128225219939657373473211<138>
prime factors 素因数
646766095688474735399291189084746793<36>
composite cofactor 合成数の残り
761634015960711104110923945407296130867403462525177461682818232759095864670069887345246744770328738627<102>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1981293902
Step 1 took 5875ms
********** Factor found in step 2: 646766095688474735399291189084746793
Found probable prime factor of 36 digits: 646766095688474735399291189084746793
Composite cofactor 761634015960711104110923945407296130867403462525177461682818232759095864670069887345246744770328738627 has 102 digits
software ソフトウェア
GMP-ECM 7.0

c102

name 名前KTakahashi
date 日付February 8, 2015 06:13:01 UTC 2015 年 2 月 8 日 (日) 15 時 13 分 1 秒 (日本時間)
composite number 合成数
761634015960711104110923945407296130867403462525177461682818232759095864670069887345246744770328738627<102>
prime factors 素因数
1702950128171444506357250092756932613<37>
447243876001537021270030556859868934894282787211676213522266509479<66>
factorization results 素因数分解の結果
Number: 75777_207
N=761634015960711104110923945407296130867403462525177461682818232759095864670069887345246744770328738627
  ( 102 digits)
Divisors found:
 r1=1702950128171444506357250092756932613 (pp37)
 r2=447243876001537021270030556859868934894282787211676213522266509479 (pp66)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 8.22 hours.
Scaled time: 16.89 units (timescale=2.055).
Factorization parameters were as follows:
name: 75777_207
n: 761634015960711104110923945407296130867403462525177461682818232759095864670069887345246744770328738627
skew: 6224.00
# norm 2.57e+014
c5: 367920
c4: -2730422610
c3: -26925857330779
c2: 172350702914103136
c1: 554642077390788292916
c0: -1130013745205032432383639
# alpha -6.87
Y1: 42308399947
Y0: -18331587447324603850
# Murphy_E 2.76e-009
# M 337786366732421682870856758645024223663927736481703279246020761505475751257429402452852761211042508126
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 286049 x 286297
Polynomial selection time: 0.50 hours.
Total sieving time: 7.34 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 8.22 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)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:03:20 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 20 秒 (日本時間)

682×10208-79

c195

name 名前Bob Backstrom
date 日付June 22, 2021 02:31:32 UTC 2021 年 6 月 22 日 (火) 11 時 31 分 32 秒 (日本時間)
composite number 合成数
356561338998873350690888503876527411833685991813768225720634245599181817320535832775513205815713823775467725228903595340300937570788645625583546985591971097982887793303466093841825112513593420329<195>
prime factors 素因数
610206835065503813620382350136652072527953687<45>
49677443706142819247985188649194227255296852988853<50>
11762454165670173956640604349864960201656679873219896292278285889794557890841136790380017189051611939<101>
factorization results 素因数分解の結果
#
# N = 682x10^208-7 = 757(208)
#
n: 356561338998873350690888503876527411833685991813768225720634245599181817320535832775513205815713823775467725228903595340300937570788645625583546985591971097982887793303466093841825112513593420329
m: 100000000000000000000000000000000000000000
deg: 5
c5: 682000
c0: -7
skew: 0.10
# Murphy_E = 3.433e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6


GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 3565613389988733506908885038765274118336859918137682257206342455991818173205358327755132058157138237754677252289035953403009375707886456255835469855919710979828877933034660938418251125135
93420329 (195 digits)
Using B1=41140000, B2=192394462276, polynomial Dickson(12), sigma=1:870390435
Step 1 took 132815ms
Step 2 took 37344ms
********** Factor found in step 2: 610206835065503813620382350136652072527953687
Found prime factor of 45 digits: 610206835065503813620382350136652072527953687
Composite cofactor 584328654661165169352642171289767320930693654884713578833575437905497216867746530734390953477229483079449893846247673406366518491492683997569648715967 has 150 digits



Number: n
N=584328654661165169352642171289767320930693654884713578833575437905497216867746530734390953477229483079449893846247673406366518491492683997569648715967
  ( 150 digits)
SNFS difficulty: 210 digits.
Divisors found:

Tue Jun 22 12:23:57 2021  p50 factor: 49677443706142819247985188649194227255296852988853
Tue Jun 22 12:23:57 2021  p101 factor: 11762454165670173956640604349864960201656679873219896292278285889794557890841136790380017189051611939
Tue Jun 22 12:23:57 2021  elapsed time 05:28:01 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 682x10^208-7 = 757(208)
#
# n: 356561338998873350690888503876527411833685991813768225720634245599181817320535832775513205815713823775467725228903595340300937570788645625583546985591971097982887793303466093841825112513593420329
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 35656133899887335069088850387652741183368599181376822572063424559918181732053583277551320581571382377546772522890359534030093757078864562558354698559197109798288779330346609384182511251
3593420329 (195 digits)
# Using B1=41140000, B2=192394462276, polynomial Dickson(12), sigma=1:870390435
# Step 1 took 132815ms
# Step 2 took 37344ms
# ********** Factor found in step 2: 610206835065503813620382350136652072527953687
# Found prime factor of 45 digits: 610206835065503813620382350136652072527953687
# Composite cofactor 584328654661165169352642171289767320930693654884713578833575437905497216867746530734390953477229483079449893846247673406366518491492683997569648715967 has 150 digits
#
n: 584328654661165169352642171289767320930693654884713578833575437905497216867746530734390953477229483079449893846247673406366518491492683997569648715967
m: 100000000000000000000000000000000000000000
deg: 5
c5: 682000
c0: -7
skew: 0.10
# Murphy_E = 3.433e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 53100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8127699 hash collisions in 52526241 relations (46028093 unique)
Msieve: matrix is 3674778 x 3675004 (1293.9 MB)

Sieving start time : 2021/06/21 09:40:42
Sieving end time  : 2021/06/22 06:54:31

Total sieving time: 21hrs 13min 49secs.

Total relation processing time: 5hrs 5min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 21sec.

Prototype def-par.txt line would be:
snfs,210,5,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118509] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239976K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487260K reserved, 0K cma-reserved)
[    0.154060] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798688)
[    0.150212] smpboot: Total of 16 processors activated (102389.50 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:03:21 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 21 秒 (日本時間)
1CypJanuary 9, 2015 00:45:38 UTC 2015 年 1 月 9 日 (金) 9 時 45 分 38 秒 (日本時間)
4511e6585 / 4409CypJune 17, 2015 10:18:06 UTC 2015 年 6 月 17 日 (水) 19 時 18 分 6 秒 (日本時間)

682×10209-79

c190

name 名前Bob Backstrom
date 日付May 15, 2021 22:43:01 UTC 2021 年 5 月 16 日 (日) 7 時 43 分 1 秒 (日本時間)
composite number 合成数
8012978466027152422602485018014073084203456545905321434518832199706864257601060442986919886407519049447296172357575706512637979157362920093751421375589226732565389853594040847992801476426147<190>
prime factors 素因数
460773311510533024350215438642792155416237642629<48>
17390283390673290208978121664272719761917647345084261747672837227163839173744500126287189715591491506613308529873573705206992224584557592263943<143>
factorization results 素因数分解の結果
#
# N = 682x10^209-7 = 757(209)
#
n: 8012978466027152422602485018014073084203456545905321434518832199706864257601060442986919886407519049447296172357575706512637979157362920093751421375589226732565389853594040847992801476426147
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 341
c0: -35
skew: 0.63
# Murphy_E = 3.752e-12
type: snfs
lss: 1
rlim: 24000000
alim: 24000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 8012978466027152422602485018014073084203456545905321434518832199706864257601060442986919886407519049447296172357575706512637979157362920093751421375589226732565389853594040847992801476426147 (190 digits)
Using B1=44440000, B2=240492041806, polynomial Dickson(12), sigma=1:3186438131
Step 1 took 119395ms
Step 2 took 39672ms
********** Factor found in step 2: 460773311510533024350215438642792155416237642629
Found prime factor of 48 digits: 460773311510533024350215438642792155416237642629
Prime cofactor 17390283390673290208978121664272719761917647345084261747672837227163839173744500126287189715591491506613308529873573705206992224584557592263943 has 143 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)
403e6301300Serge BatalovJanuary 9, 2015 00:03:21 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 21 秒 (日本時間)
1CypJanuary 9, 2015 00:40:11 UTC 2015 年 1 月 9 日 (金) 9 時 40 分 11 秒 (日本時間)
4511e6585 / 4409CypJune 30, 2015 18:11:25 UTC 2015 年 7 月 1 日 (水) 3 時 11 分 25 秒 (日本時間)

682×10211-79

c174

name 名前Serge Batalov
date 日付January 9, 2015 02:01:34 UTC 2015 年 1 月 9 日 (金) 11 時 1 分 34 秒 (日本時間)
composite number 合成数
859903944417003699508417171997911019932873277250223474910880403848454874229196032804916771535227999094907110292953522613725300841689362281778100594026611134535135592320083969<174>
prime factors 素因数
669720583320449100212097267051077341<36>
1112188819986748793513442450073575121<37>
composite cofactor 合成数の残り
1154457020518958886249477466611373585822802605408163000492620082510951794940888339564574515013821315429<103>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2021416355
Step 1 took 15652ms
Step 2 took 11366ms
********** Factor found in step 2: 1112188819986748793513442450073575121
Found probable prime factor of 37 digits: 1112188819986748793513442450073575121

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1875145004
Step 1 took 16854ms
Step 2 took 11508ms
********** Factor found in step 2: 669720583320449100212097267051077341
Found composite factor of 72 digits: 669720583320449100212097267051077341

c103

name 名前Cyp
date 日付January 9, 2015 23:18:39 UTC 2015 年 1 月 10 日 (土) 8 時 18 分 39 秒 (日本時間)
composite number 合成数
1154457020518958886249477466611373585822802605408163000492620082510951794940888339564574515013821315429<103>
prime factors 素因数
1599395496968780885435758662581630767<37>
721808347408078956058631441403168056388590929400977229560671286187<66>
factorization results 素因数分解の結果
01/09/15 23:38:39 v1.34.3, 
01/09/15 23:38:39 v1.34.3, ****************************
01/09/15 23:38:39 v1.34.3, Starting factorization of 1154457020518958886249477466611373585822802605408163000492620082510951794940888339564574515013821315429
01/09/15 23:38:39 v1.34.3, using pretesting plan: none
01/09/15 23:38:39 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/09/15 23:38:39 v1.34.3, ****************************
01/09/15 23:38:39 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C103
01/09/15 23:38:39 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C103
01/09/15 23:38:39 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C103
01/09/15 23:38:39 v1.34.3, final ECM pretested depth: 0.00
01/09/15 23:38:39 v1.34.3, scheduler: switching to sieve method
01/09/15 23:38:39 v1.34.3, nfs: commencing nfs on c103: 1154457020518958886249477466611373585822802605408163000492620082510951794940888339564574515013821315429
01/09/15 23:38:39 v1.34.3, nfs: commencing poly selection with 8 threads
01/09/15 23:38:39 v1.34.3, nfs: setting deadline of 192 seconds
01/09/15 23:42:15 v1.34.3, nfs: completed 48 ranges of size 250 in 215.9144 seconds
01/09/15 23:42:15 v1.34.3, nfs: best poly = # norm 5.224884e-14 alpha -5.945064 e 8.185e-09 rroots 2
01/09/15 23:42:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 23:43:35 v1.34.3, nfs: commencing lattice sieving with 8 threads
[17 lines snipped]
01/10/15 00:07:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 00:08:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 00:10:06 v1.34.3, nfs: commencing msieve filtering
01/10/15 00:10:46 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 00:12:04 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 00:13:25 v1.34.3, nfs: commencing msieve filtering
01/10/15 00:14:22 v1.34.3, nfs: commencing msieve linear algebra
01/10/15 00:17:33 v1.34.3, nfs: commencing msieve sqrt
01/10/15 00:18:38 v1.34.3, prp66 = 721808347408078956058631441403168056388590929400977229560671286187
01/10/15 00:18:38 v1.34.3, prp37 = 1599395496968780885435758662581630767
01/10/15 00:18:38 v1.34.3, NFS elapsed time = 2398.8605 seconds.
01/10/15 00:18:38 v1.34.3, 
01/10/15 00:18:38 v1.34.3, 
01/10/15 00:18:38 v1.34.3, Total factoring time = 2398.8825 seconds
--
Sat Jan 10 00:10:06 2015  
Sat Jan 10 00:10:06 2015  commencing relation filtering
Sat Jan 10 00:10:06 2015  estimated available RAM is 15987.3 MB
Sat Jan 10 00:10:06 2015  commencing duplicate removal, pass 1
Sat Jan 10 00:10:19 2015  found 457154 hash collisions in 4631498 relations
Sat Jan 10 00:10:22 2015  added 158068 free relations
Sat Jan 10 00:10:22 2015  commencing duplicate removal, pass 2
Sat Jan 10 00:10:26 2015  found 217998 duplicates and 4571568 unique relations
Sat Jan 10 00:10:26 2015  memory use: 20.6 MB
Sat Jan 10 00:10:26 2015  reading ideals above 100000
Sat Jan 10 00:10:26 2015  commencing singleton removal, initial pass
Sat Jan 10 00:10:44 2015  memory use: 172.2 MB
Sat Jan 10 00:10:44 2015  reading all ideals from disk
Sat Jan 10 00:10:44 2015  memory use: 144.4 MB
Sat Jan 10 00:10:45 2015  keeping 5435490 ideals with weight <= 200, target excess is 21738
Sat Jan 10 00:10:45 2015  commencing in-memory singleton removal
Sat Jan 10 00:10:45 2015  begin with 4571568 relations and 5435490 unique ideals
Sat Jan 10 00:10:46 2015  reduce to 1098037 relations and 1154540 ideals in 25 passes
Sat Jan 10 00:10:46 2015  max relations containing the same ideal: 74
Sat Jan 10 00:13:25 2015  
Sat Jan 10 00:13:25 2015  commencing relation filtering
Sat Jan 10 00:13:25 2015  estimated available RAM is 15987.3 MB
Sat Jan 10 00:13:25 2015  commencing duplicate removal, pass 1
Sat Jan 10 00:13:41 2015  found 554720 hash collisions in 5226984 relations
Sat Jan 10 00:13:44 2015  added 1606 free relations
Sat Jan 10 00:13:44 2015  commencing duplicate removal, pass 2
Sat Jan 10 00:13:48 2015  found 255675 duplicates and 4972915 unique relations
Sat Jan 10 00:13:48 2015  memory use: 20.6 MB
Sat Jan 10 00:13:48 2015  reading ideals above 100000
Sat Jan 10 00:13:48 2015  commencing singleton removal, initial pass
Sat Jan 10 00:14:08 2015  memory use: 172.2 MB
Sat Jan 10 00:14:08 2015  reading all ideals from disk
Sat Jan 10 00:14:09 2015  memory use: 157.2 MB
Sat Jan 10 00:14:09 2015  keeping 5619828 ideals with weight <= 200, target excess is 23382
Sat Jan 10 00:14:09 2015  commencing in-memory singleton removal
Sat Jan 10 00:14:09 2015  begin with 4972915 relations and 5619828 unique ideals
Sat Jan 10 00:14:11 2015  reduce to 1640111 relations and 1582137 ideals in 22 passes
Sat Jan 10 00:14:11 2015  max relations containing the same ideal: 95
Sat Jan 10 00:14:11 2015  removing 189898 relations and 174473 ideals in 15425 cliques
Sat Jan 10 00:14:11 2015  commencing in-memory singleton removal
Sat Jan 10 00:14:11 2015  begin with 1450213 relations and 1582137 unique ideals
Sat Jan 10 00:14:11 2015  reduce to 1429458 relations and 1386616 ideals in 10 passes
Sat Jan 10 00:14:11 2015  max relations containing the same ideal: 86
Sat Jan 10 00:14:12 2015  removing 136951 relations and 121526 ideals in 15425 cliques
Sat Jan 10 00:14:12 2015  commencing in-memory singleton removal
Sat Jan 10 00:14:12 2015  begin with 1292507 relations and 1386616 unique ideals
Sat Jan 10 00:14:12 2015  reduce to 1280291 relations and 1252732 ideals in 8 passes
Sat Jan 10 00:14:12 2015  max relations containing the same ideal: 79
Sat Jan 10 00:14:12 2015  relations with 0 large ideals: 435
Sat Jan 10 00:14:12 2015  relations with 1 large ideals: 244
Sat Jan 10 00:14:12 2015  relations with 2 large ideals: 3410
Sat Jan 10 00:14:12 2015  relations with 3 large ideals: 28698
Sat Jan 10 00:14:12 2015  relations with 4 large ideals: 123362
Sat Jan 10 00:14:12 2015  relations with 5 large ideals: 308804
Sat Jan 10 00:14:12 2015  relations with 6 large ideals: 392041
Sat Jan 10 00:14:12 2015  relations with 7+ large ideals: 423297
Sat Jan 10 00:14:12 2015  commencing 2-way merge
Sat Jan 10 00:14:13 2015  reduce to 707456 relation sets and 679901 unique ideals
Sat Jan 10 00:14:13 2015  ignored 4 oversize relation sets
Sat Jan 10 00:14:13 2015  commencing full merge
Sat Jan 10 00:14:19 2015  memory use: 72.8 MB
Sat Jan 10 00:14:19 2015  found 336002 cycles, need 334101
Sat Jan 10 00:14:19 2015  weight of 334101 cycles is about 23402019 (70.04/cycle)
Sat Jan 10 00:14:19 2015  distribution of cycle lengths:
Sat Jan 10 00:14:19 2015  1 relations: 39251
Sat Jan 10 00:14:19 2015  2 relations: 36693
Sat Jan 10 00:14:19 2015  3 relations: 35443
Sat Jan 10 00:14:19 2015  4 relations: 31170
Sat Jan 10 00:14:19 2015  5 relations: 28280
Sat Jan 10 00:14:19 2015  6 relations: 24378
Sat Jan 10 00:14:19 2015  7 relations: 21228
Sat Jan 10 00:14:19 2015  8 relations: 18535
Sat Jan 10 00:14:19 2015  9 relations: 15887
Sat Jan 10 00:14:19 2015  10+ relations: 83236
Sat Jan 10 00:14:19 2015  heaviest cycle: 28 relations
Sat Jan 10 00:14:19 2015  commencing cycle optimization
Sat Jan 10 00:14:19 2015  start with 2250510 relations
Sat Jan 10 00:14:21 2015  pruned 46382 relations
Sat Jan 10 00:14:21 2015  memory use: 74.1 MB
Sat Jan 10 00:14:21 2015  distribution of cycle lengths:
Sat Jan 10 00:14:21 2015  1 relations: 39251
Sat Jan 10 00:14:21 2015  2 relations: 37420
Sat Jan 10 00:14:21 2015  3 relations: 36552
Sat Jan 10 00:14:21 2015  4 relations: 31741
Sat Jan 10 00:14:21 2015  5 relations: 28746
Sat Jan 10 00:14:21 2015  6 relations: 24716
Sat Jan 10 00:14:21 2015  7 relations: 21412
Sat Jan 10 00:14:21 2015  8 relations: 18530
Sat Jan 10 00:14:21 2015  9 relations: 15713
Sat Jan 10 00:14:21 2015  10+ relations: 80020
Sat Jan 10 00:14:21 2015  heaviest cycle: 28 relations
Sat Jan 10 00:14:21 2015  RelProcTime: 56
Sat Jan 10 00:14:22 2015  
Sat Jan 10 00:14:22 2015  commencing linear algebra
Sat Jan 10 00:14:22 2015  read 334101 cycles
Sat Jan 10 00:14:22 2015  cycles contain 1240889 unique relations
Sat Jan 10 00:14:28 2015  read 1240889 relations
Sat Jan 10 00:14:29 2015  using 20 quadratic characters above 67108778
Sat Jan 10 00:14:32 2015  building initial matrix
Sat Jan 10 00:14:38 2015  memory use: 154.6 MB
Sat Jan 10 00:14:39 2015  read 334101 cycles
Sat Jan 10 00:14:39 2015  matrix is 333938 x 334101 (101.3 MB) with weight 32370294 (96.89/col)
Sat Jan 10 00:14:39 2015  sparse part has weight 22548507 (67.49/col)
Sat Jan 10 00:14:40 2015  filtering completed in 2 passes
Sat Jan 10 00:14:40 2015  matrix is 333449 x 333621 (101.3 MB) with weight 32347680 (96.96/col)
Sat Jan 10 00:14:40 2015  sparse part has weight 22541533 (67.57/col)
Sat Jan 10 00:14:41 2015  matrix starts at (0, 0)
Sat Jan 10 00:14:41 2015  matrix is 333449 x 333621 (101.3 MB) with weight 32347680 (96.96/col)
Sat Jan 10 00:14:41 2015  sparse part has weight 22541533 (67.57/col)
Sat Jan 10 00:14:41 2015  saving the first 48 matrix rows for later
Sat Jan 10 00:14:41 2015  matrix includes 64 packed rows
Sat Jan 10 00:14:41 2015  matrix is 333401 x 333621 (97.1 MB) with weight 25632664 (76.83/col)
Sat Jan 10 00:14:41 2015  sparse part has weight 22123414 (66.31/col)
Sat Jan 10 00:14:41 2015  using block size 65536 for processor cache size 8192 kB
Sat Jan 10 00:14:41 2015  commencing Lanczos iteration (8 threads)
Sat Jan 10 00:14:41 2015  memory use: 91.5 MB
Sat Jan 10 00:14:48 2015  linear algebra at 3.6%, ETA 0h 3m
Sat Jan 10 00:17:33 2015  lanczos halted after 5273 iterations (dim = 333397)
Sat Jan 10 00:17:33 2015  recovered 35 nontrivial dependencies
Sat Jan 10 00:17:33 2015  BLanczosTime: 191
Sat Jan 10 00:17:33 2015  
Sat Jan 10 00:17:33 2015  commencing square root phase
Sat Jan 10 00:17:33 2015  reading relations for dependency 1
Sat Jan 10 00:17:33 2015  read 167284 cycles
Sat Jan 10 00:17:33 2015  cycles contain 620738 unique relations
Sat Jan 10 00:17:38 2015  read 620738 relations
Sat Jan 10 00:17:39 2015  multiplying 620738 relations
Sat Jan 10 00:17:50 2015  multiply complete, coefficients have about 25.76 million bits
Sat Jan 10 00:17:50 2015  initial square root is modulo 25073803
Sat Jan 10 00:18:06 2015  GCD is N, no factor found
Sat Jan 10 00:18:06 2015  reading relations for dependency 2
Sat Jan 10 00:18:06 2015  read 166832 cycles
Sat Jan 10 00:18:06 2015  cycles contain 619462 unique relations
Sat Jan 10 00:18:10 2015  read 619462 relations
Sat Jan 10 00:18:11 2015  multiplying 619462 relations
Sat Jan 10 00:18:22 2015  multiply complete, coefficients have about 25.71 million bits
Sat Jan 10 00:18:22 2015  initial square root is modulo 24205723
Sat Jan 10 00:18:38 2015  sqrtTime: 65
--
n: 1154457020518958886249477466611373585822802605408163000492620082510951794940888339564574515013821315429
skew: 6809349.81
c0: 461174403668078882850127815140
c1: -385841684261629346278383
c2: 15511027508778850
c3: 12012405036
c4: 792
Y0: -6178863346571990888871417
Y1: 17097089416771
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
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:03:22 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 22 秒 (日本時間)

682×10213-79

c191

composite cofactor 合成数の残り
33433229721793809913896942305051953070941512254703892465041793711586782829515758149935812521618290488566728563268431573275230639095685584618505596398020591731491627183581262017062230514727651<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:03:23 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 23 秒 (日本時間)
4511e6585 / 4409CypJuly 7, 2015 18:32:45 UTC 2015 年 7 月 8 日 (水) 3 時 32 分 45 秒 (日本時間)

682×10214-79

c201

composite cofactor 合成数の残り
288810090879981487374677819414577444513932405629945190807527826145205305040978828877445241622698309752591760090901423966692504237132796237608925645478034570725435861991233594444295539973403796396014453<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:03:23 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 23 秒 (日本時間)
1CypJanuary 9, 2015 00:45:24 UTC 2015 年 1 月 9 日 (金) 9 時 45 分 24 秒 (日本時間)
4511e6585 / 4409CypJune 14, 2015 22:32:42 UTC 2015 年 6 月 15 日 (月) 7 時 32 分 42 秒 (日本時間)

682×10215-79

c214

name 名前Bob Backstrom
date 日付November 5, 2017 03:55:38 UTC 2017 年 11 月 5 日 (日) 12 時 55 分 38 秒 (日本時間)
composite number 合成数
5116662915447520444144346912746642658864130842523820241578513016730437392152449546102483307074799309775677095055893165278715582564333408357716257783779728411733813489384049816190261835096406332057918823617675744617<214>
prime factors 素因数
67169639489878931759229921750455847467651512583291<50>
76175232654307980499063646205445291036483553701988446406307719466275752571544327269255635133886622405817963843293821563944231190057056912366045383818425595045921387<164>
factorization results 素因数分解の結果
Number: n
N=5116662915447520444144346912746642658864130842523820241578513016730437392152449546102483307074799309775677095055893165278715582564333408357716257783779728411733813489384049816190261835096406332057918823617675744617
  ( 214 digits)
SNFS difficulty: 218 digits.
Divisors found:

Sun Nov  5 14:12:56 2017  p50 factor: 67169639489878931759229921750455847467651512583291
Sun Nov  5 14:12:56 2017  p164 factor: 76175232654307980499063646205445291036483553701988446406307719466275752571544327269255635133886622405817963843293821563944231190057056912366045383818425595045921387
Sun Nov  5 14:12:56 2017  elapsed time 11:48:11 (Msieve 1.53 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.125).
Factorization parameters were as follows:
#
# 682x10^215-7 757(215)
#
n: 5116662915447520444144346912746642658864130842523820241578513016730437392152449546102483307074799309775677095055893165278715582564333408357716257783779728411733813489384049816190261835096406332057918823617675744617
m: 1000000000000000000000000000000000000
deg: 6
c6: 341
c0: -35
skew: 0.68
# Murphy_E = 1.814e-12
type: snfs
lss: 1
rlim: 31000000
alim: 31000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 31000000/31000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 52300000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 15385544 hash collisions in 69405084 relations (55030942 unique)
Msieve: matrix is 5110796 x 5111021 (1455.2 MB)

Sieving start time: 2017/11/02 05:50:22
Sieving end time  : 2017/11/05 02:22:55

Total sieving time: 68hrs 32min 33secs.

Total relation processing time: 11hrs 17min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 13sec.

Prototype def-par.txt line would be:
snfs,218,6,0,0,0,0,0,0,0,0,31000000,31000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.068000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16297368K/16703460K available (9281K kernel code, 2477K rwdata, 3992K rodata, 2324K init, 2384K bss, 406092K reserved, 0K cma-reserved)
[    0.100635] x86/mm: Memory block size: 128MB
[    0.008000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.86 BogoMIPS (lpj=11977728)
[    0.098232] smpboot: Total of 16 processors activated (95821.82 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 00:03:24 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 24 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:09:07 UTC 2015 年 1 月 11 日 (日) 5 時 9 分 7 秒 (日本時間)

682×10217-79

c170

composite cofactor 合成数の残り
13982335822671069826320953924490535235682051017338730271822967878705939084414930832926171440248067782632734144695415906194578889150313125174250772558330422707435306229653<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:03:24 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 24 秒 (日本時間)
4511e6585 / 4409CypJuly 21, 2015 02:51:43 UTC 2015 年 7 月 21 日 (火) 11 時 51 分 43 秒 (日本時間)

682×10218-79

c200

name 名前Erik Branger
date 日付January 28, 2020 20:28:41 UTC 2020 年 1 月 29 日 (水) 5 時 28 分 41 秒 (日本時間)
composite number 合成数
15150461399817390491380393363659858671906095089777317235429577894056460161938117966460088305897987921267504094085658280743892925913208756040828867839326915397172144781231995712996701411625572072511793<200>
prime factors 素因数
298756617472315873950289344023034700933894893472783005699505859969567784818570086613919502912513<96>
50711718213978306574627009031103191947261802732058115377113077538795448353688159997364038635087887584561<104>
factorization results 素因数分解の結果
Number: 75777_218
N = 15150461399817390491380393363659858671906095089777317235429577894056460161938117966460088305897987921267504094085658280743892925913208756040828867839326915397172144781231995712996701411625572072511793 (200 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=298756617472315873950289344023034700933894893472783005699505859969567784818570086613919502912513 (pp96)
r2=50711718213978306574627009031103191947261802732058115377113077538795448353688159997364038635087887584561 (pp104)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 100.24 hours.
Factorization parameters were as follows:
n: 15150461399817390491380393363659858671906095089777317235429577894056460161938117966460088305897987921267504094085658280743892925913208756040828867839326915397172144781231995712996701411625572072511793
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 341
c0: -350
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: 9522300 relations
Pruned matrix : 8086748 x 8086973
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 49.70 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 49.44 hours.
time per square root: 0.79 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: 100.24 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)
403e6301300Serge BatalovJanuary 9, 2015 00:03:25 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 25 秒 (日本時間)
1CypJanuary 9, 2015 01:07:21 UTC 2015 年 1 月 9 日 (金) 10 時 7 分 21 秒 (日本時間)
4511e6585 / 4409CypJune 15, 2015 06:50:42 UTC 2015 年 6 月 15 日 (月) 15 時 50 分 42 秒 (日本時間)

682×10219-79

c185

name 名前Erik Branger
date 日付January 29, 2020 16:01:18 UTC 2020 年 1 月 30 日 (木) 1 時 1 分 18 秒 (日本時間)
composite number 合成数
27169321580996218171717275307387016443617659334387063274726412990672046581146238087935679459788184827195379034685117113337195486431759448658333450619253575379684814459736691385022520489<185>
prime factors 素因数
7889334784225962149416371843498097018992231290136831173758484188822806080225271455335583<88>
3443803859777748385812891580036912177759103685483047964631350692244033671443746665756643708473783<97>
factorization results 素因数分解の結果
eNumber: 75777_219
N = 27169321580996218171717275307387016443617659334387063274726412990672046581146238087935679459788184827195379034685117113337195486431759448658333450619253575379684814459736691385022520489 (185 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=7889334784225962149416371843498097018992231290136831173758484188822806080225271455335583 (pp88)
r2=3443803859777748385812891580036912177759103685483047964631350692244033671443746665756643708473783 (pp97)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 61.86 hours.
Factorization parameters were as follows:
n: 27169321580996218171717275307387016443617659334387063274726412990672046581146238087935679459788184827195379034685117113337195486431759448658333450619253575379684814459736691385022520489
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 341
c0: -35
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: 7305284 relations
Pruned matrix : 6471721 x 6471946
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 31.37 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 29.99 hours.
time per square root: 0.21 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: 61.86 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)
403e6581300Serge BatalovJanuary 9, 2015 00:03:25 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 25 秒 (日本時間)
281CypJanuary 9, 2015 01:06:08 UTC 2015 年 1 月 9 日 (金) 10 時 6 分 8 秒 (日本時間)
4511e6504 / 4347CypJuly 2, 2015 05:14:06 UTC 2015 年 7 月 2 日 (木) 14 時 14 分 6 秒 (日本時間)

682×10221-79

c216

name 名前Bob Backstrom
date 日付July 5, 2019 10:37:02 UTC 2019 年 7 月 5 日 (金) 19 時 37 分 2 秒 (日本時間)
composite number 合成数
132252432265244268099594233830409917557925406669005750667355566095802921164187444536999815992653295941886280023500675457966757272963146403421186587942650078542722161548025346399710749580665254439513930269889574668169<216>
prime factors 素因数
2238296217037969007867137117545946869592657<43>
59086206400446605170640106197682726562321333265377088403189690854204214414591241156491924688637114114917403750589710906034667691887593395961567556589295345502512106460249017<173>
factorization results 素因数分解の結果
Number: n
N=132252432265244268099594233830409917557925406669005750667355566095802921164187444536999815992653295941886280023500675457966757272963146403421186587942650078542722161548025346399710749580665254439513930269889574668169
  ( 216 digits)
SNFS difficulty: 224 digits.
Divisors found:

Fri Jul  5 20:33:39 2019  p43 factor: 2238296217037969007867137117545946869592657
Fri Jul  5 20:33:39 2019  p173 factor: 59086206400446605170640106197682726562321333265377088403189690854204214414591241156491924688637114114917403750589710906034667691887593395961567556589295345502512106460249017
Fri Jul  5 20:33:39 2019  elapsed time 21:36:17 (Msieve 1.54 - dependency 5)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.755).
Factorization parameters were as follows:
#
# N = 682x10^221-7 = 757(221)
#
n: 132252432265244268099594233830409917557925406669005750667355566095802921164187444536999815992653295941886280023500675457966757272963146403421186587942650078542722161548025346399710749580665254439513930269889574668169
m: 10000000000000000000000000000000000000
deg: 6
c6: 341
c0: -35
skew: 0.68
# Murphy_E = 1.135e-12
type: snfs
lss: 1
rlim: 39000000
alim: 39000000
lpbr: 29
lpba: 29
mfbr: 59
mfba: 59
rlambda: 2.6
alambda: 2.6
Factor base limits: 39000000/39000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 59/59
Sieved  special-q in [100000, 138700000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 15287150 hash collisions in 67671178 relations (53145755 unique)
Msieve: matrix is 6248014 x 6248239 (2184.9 MB)

Sieving start time: 2019/07/01 19:18:26
Sieving end time  : 2019/07/04 22:54:55

Total sieving time: 75hrs 36min 29secs.

Total relation processing time: 19hrs 11min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 2hrs 2min 21sec.

Prototype def-par.txt line would be:
snfs,224,6,0,0,0,0,0,0,0,0,39000000,39000000,29,29,59,59,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284124K/16703460K available (12300K kernel code, 2473K rwdata, 4272K rodata, 2408K init, 2416K bss, 419336K reserved, 0K cma-reserved)
[    0.080566] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.41 BogoMIPS (lpj=11976828)
[    0.078213] smpboot: Total of 16 processors activated (95814.62 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 00:03:26 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 26 秒 (日本時間)
4511e6585 / 4409CypJune 5, 2015 21:30:07 UTC 2015 年 6 月 6 日 (土) 6 時 30 分 7 秒 (日本時間)

682×10222-79

c186

name 名前Serge Batalov
date 日付January 9, 2015 03:49:17 UTC 2015 年 1 月 9 日 (金) 12 時 49 分 17 秒 (日本時間)
composite number 合成数
268507724997874528002217419767900544747588387810260679687991902444499348536613059796723775286948282855513722113684908625377324486603409684699958280680380645031137954529651732083451211119<186>
prime factors 素因数
18606264302847473068825718124347<32>
composite cofactor 合成数の残り
14431038956959379170868856570468706051433682521768255163813004810753780838110886155693642347760960852316748623782841321013812504068082857015773925644861277<155>
factorization results 素因数分解の結果
Input number is 268507724997874528002217419767900544747588387810260679687991902444499348536613059796723775286948282855513722113684908625377324486603409684699958280680380645031137954529651732083451211119 (186 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3083202136
Step 1 took 15123ms
Step 2 took 11651ms
********** Factor found in step 2: 18606264302847473068825718124347
Found probable prime factor of 32 digits: 18606264302847473068825718124347
Composite cofactor 14431038956959379170868856570468706051433682521768255163813004810753780838110886155693642347760960852316748623782841321013812504068082857015773925644861277 has 155 digits

c155

name 名前Erik Branger
date 日付October 7, 2018 07:54:23 UTC 2018 年 10 月 7 日 (日) 16 時 54 分 23 秒 (日本時間)
composite number 合成数
14431038956959379170868856570468706051433682521768255163813004810753780838110886155693642347760960852316748623782841321013812504068082857015773925644861277<155>
prime factors 素因数
105791311797198280455751485696449184413690699<45>
136410435902559277605786490707176837171612757123125528595860961671552182833856143093083969834016814719751384823<111>
factorization results 素因数分解の結果
Number: 75777_222
N = 14431038956959379170868856570468706051433682521768255163813004810753780838110886155693642347760960852316748623782841321013812504068082857015773925644861277 (155 digits)
SNFS difficulty: 225 digits.
Divisors found:
r1=105791311797198280455751485696449184413690699 (pp45)
r2=136410435902559277605786490707176837171612757123125528595860961671552182833856143093083969834016814719751384823 (pp111)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 113.73 hours.
Factorization parameters were as follows:
n: 14431038956959379170868856570468706051433682521768255163813004810753780838110886155693642347760960852316748623782841321013812504068082857015773925644861277
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 68200
c0: -7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/29
Total raw relations: 44304934
Relations: 15568444 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 33.51 hours.
Total relation processing time: 0.37 hours.
Pruned matrix : 12826365 x 12826590
Matrix solve time: 78.47 hours.
time per square root: 1.38 hours.
Prototype def-par.txt line would be: snfs,225,4,0,0,0,0,0,0,0,0,536870912,536870912,29,29,58,58,2.8,2.8,100000
total time: 113.73 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, 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)
403e62400300Serge BatalovJanuary 9, 2015 00:03:26 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 26 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 23:39:20 UTC 2015 年 1 月 11 日 (日) 8 時 39 分 20 秒 (日本時間)
4511e64000800Dmitry DomanovMarch 1, 2016 13:12:08 UTC 2016 年 3 月 1 日 (火) 22 時 12 分 8 秒 (日本時間)
3200Lionel DebrouxJanuary 3, 2018 15:47:45 UTC 2018 年 1 月 4 日 (木) 0 時 47 分 45 秒 (日本時間)

682×10223-79

c193

composite cofactor 合成数の残り
4280580573767168764165493472913659789618507509244439900871623833268754775523128974976642332157556622667322804794335071000571599159152871089218629949339678457711588586094992716508260700760434139<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:03:27 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 27 秒 (日本時間)
4511e6585 / 4409CypJuly 21, 2015 04:46:14 UTC 2015 年 7 月 21 日 (火) 13 時 46 分 14 秒 (日本時間)

682×10224-79

c221

composite cofactor 合成数の残り
33243011777872340010694306134992949264437435140788054352811691011567300769804816727181621391341901451530275268710283252882320225740522207745426770568138669177927615047873348999468209298392100836485813959042854726576228127<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:03:28 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 28 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 08:39:51 UTC 2015 年 1 月 10 日 (土) 17 時 39 分 51 秒 (日本時間)

682×10225-79

c206

composite cofactor 合成数の残り
35453627977763349538356927647080527620474927880061875896957925249707906999818167558949953257138117110267052441635753183105364033771764328333811709319377540621998782924550750797001486942957327859312296752363<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:03:28 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 28 秒 (日本時間)
4511e6585 / 4409CypJune 16, 2015 21:28:30 UTC 2015 年 6 月 17 日 (水) 6 時 28 分 30 秒 (日本時間)

682×10226-79

c228

name 名前Serge Batalov
date 日付January 9, 2015 00:40:27 UTC 2015 年 1 月 9 日 (金) 9 時 40 分 27 秒 (日本時間)
composite number 合成数
757777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<228>
prime factors 素因数
188556277537997981695284352121<30>
218358072893033575383162727618633<33>
496731365060611579148190317035567<33>
37051861597970319264455094916443899053760161023855974134456317494732502948030464839975849214476071588615052805696956444620453702886367<134>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1723803226
Step 1 took 21391ms
Step 2 took 14501ms
********** Factor found in step 2: 496731365060611579148190317035567
Found probable prime factor of 33 digits: 496731365060611579148190317035567

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3620679502
Step 1 took 20025ms
Step 2 took 14393ms
********** Factor found in step 2: 188556277537997981695284352121
Found composite factor of 62 digits: 188556277537997981695284352121

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3364412539
Step 1 took 18199ms
Step 2 took 12129ms
********** Factor found in step 2: 218358072893033575383162727618633
Found probable prime factor of 33 digits: 218358072893033575383162727618633

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:03:29 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 29 秒 (日本時間)

682×10227-79

c228

name 名前Bob Backstrom
date 日付November 1, 2018 12:54:05 UTC 2018 年 11 月 1 日 (木) 21 時 54 分 5 秒 (日本時間)
composite number 合成数
261302681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337164750957854406130268199233716475095785440613<228>
prime factors 素因数
8026761139443566299887082626448592864380130360591495409514874327<64>
32553937690794580284905804957939503756940778604155935374390045200296709218780025280345425413811182038834928552441480985007314728636342852698013443039329333342269219<164>
factorization results 素因数分解の結果
Number: n
N=261302681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337164750957854406130268199233716475095785440613
  ( 228 digits)
SNFS difficulty: 230 digits.
Divisors found:

Thu Nov  1 23:49:22 2018  p64 factor: 8026761139443566299887082626448592864380130360591495409514874327
Thu Nov  1 23:49:22 2018  p164 factor: 32553937690794580284905804957939503756940778604155935374390045200296709218780025280345425413811182038834928552441480985007314728636342852698013443039329333342269219
Thu Nov  1 23:49:22 2018  elapsed time 38:48:10 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.124).
Factorization parameters were as follows:
#
# N = 682x10^227-7 = 757(227)
#
n: 261302681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337164750957854406130268199233716475095785440613
m: 100000000000000000000000000000000000000
deg: 6
c6: 341
c0: -35
skew: 0.68
# Murphy_E = 7.073e-13
type: snfs
lss: 1
rlim: 49000000
alim: 49000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 49000000/49000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved  special-q in [100000, 143700000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 21236487 hash collisions in 106778447 relations (86848534 unique)
Msieve: matrix is 8455364 x 8455589 (2981.2 MB)

Sieving start time: 2018/10/28 00:03:18
Sieving end time  : 2018/10/31 08:57:41

Total sieving time: 80hrs 54min 23secs.

Total relation processing time: 37hrs 27min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 42min 35sec.

Prototype def-par.txt line would be:
snfs,230,6,0,0,0,0,0,0,0,0,49000000,49000000,30,30,59,59,2.7,2.7,100000
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: 16285120K/16703460K available (12300K kernel code, 2472K rwdata, 4248K rodata, 2408K init, 2416K bss, 418340K reserved, 0K cma-reserved)
[    0.076570] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5989.19 BogoMIPS (lpj=11978392)
[    0.074211] smpboot: Total of 16 processors activated (95827.13 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:03:29 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 29 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 08:39:55 UTC 2015 年 1 月 10 日 (土) 17 時 39 分 55 秒 (日本時間)
4511e6320 / 3944jafarismMay 6, 2017 07:32:25 UTC 2017 年 5 月 6 日 (土) 16 時 32 分 25 秒 (日本時間)

682×10228-79

c196

name 名前Serge Batalov
date 日付January 9, 2015 03:49:21 UTC 2015 年 1 月 9 日 (金) 12 時 49 分 21 秒 (日本時間)
composite number 合成数
4784986343104948667379105457292282139294641584655716771141794389480942983065531139982633431069662844196633727317438745107828312146412660575401142050181824160337438224473998287732887790009115016443<196>
prime factors 素因数
1352340397237881078703285740905087<34>
composite cofactor 合成数の残り
3538300233342252210406728578545966976847729597142644962651843562263639686112236391237659643285725101358454280843444709622966573567154373822389145584278780525965189<163>
factorization results 素因数分解の結果
Input number is 4784986343104948667379105457292282139294641584655716771141794389480942983065531139982633431069662844196633727317438745107828312146412660575401142050181824160337438224473998287732887790009115016443 (196 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1444009846
Step 1 took 16200ms
Step 2 took 5608ms
********** Factor found in step 2: 1352340397237881078703285740905087
Found probable prime factor of 34 digits: 1352340397237881078703285740905087
Composite cofactor 3538300233342252210406728578545966976847729597142644962651843562263639686112236391237659643285725101358454280843444709622966573567154373822389145584278780525965189 has 163 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 00:03:30 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 30 秒 (日本時間)
4511e6585 / 4409CypFebruary 10, 2015 03:22:50 UTC 2015 年 2 月 10 日 (火) 12 時 22 分 50 秒 (日本時間)

682×10229-79

c214

name 名前Serge Batalov
date 日付January 9, 2015 03:49:25 UTC 2015 年 1 月 9 日 (金) 12 時 49 分 25 秒 (日本時間)
composite number 合成数
2911715407353033164720444934865767178545468499632330934403015300792636739573243320612127678495465393153652587067090932548727435483613215454019253362407312858414386619509124867024145965168244227440600023849069862787<214>
prime factors 素因数
248147884594506784446531223274311<33>
composite cofactor 合成数の残り
11733790969489849956090248513167438492485020705167862858255003890371355283258817407012229575315168668818778907632728482954746566498200207976680087462556946465204691307891645981804517<182>
factorization results 素因数分解の結果
Input number is 2911715407353033164720444934865767178545468499632330934403015300792636739573243320612127678495465393153652587067090932548727435483613215454019253362407312858414386619509124867024145965168244227440600023849069862787 (214 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3987112308
Step 1 took 20244ms
Step 2 took 14012ms
********** Factor found in step 2: 248147884594506784446531223274311
Found probable prime factor of 33 digits: 248147884594506784446531223274311
Composite cofactor 11733790969489849956090248513167438492485020705167862858255003890371355283258817407012229575315168668818778907632728482954746566498200207976680087462556946465204691307891645981804517 has 182 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 00:03:31 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 31 秒 (日本時間)
4511e6585 / 4409CypJuly 21, 2015 00:16:10 UTC 2015 年 7 月 21 日 (火) 9 時 16 分 10 秒 (日本時間)

682×10230-79

c223

composite cofactor 合成数の残り
3680179448062338474195592383514924900002858792534505586310666808679935025598677733929157343068962498524784284483382322999874180006866721641284392657751407239334079681387944094415373268908213363315947399905930717281776627121<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)
403e6300Serge BatalovJanuary 9, 2015 00:03:31 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 31 秒 (日本時間)
4511e6585 / 4409CypJuly 21, 2015 02:35:00 UTC 2015 年 7 月 21 日 (火) 11 時 35 分 0 秒 (日本時間)

682×10232-79

c197

composite cofactor 合成数の残り
66531572679942097750291968611082383491456379133774188064027726262927098712526310972703383819628994555395753190800067729936142358144746580498898239570502053564969576254225641127451713367559992844767<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 00:03:32 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 32 秒 (日本時間)
4511e6585 / 4409CypJune 26, 2015 21:17:58 UTC 2015 年 6 月 27 日 (土) 6 時 17 分 58 秒 (日本時間)

682×10233-79

c210

composite cofactor 合成数の残り
295701207438535644056230128142277524988050776476586804810142213293863330921626445021823201172905784627412715036767940306249375580501950127377272253177238293660811114082097469888569939207726442495388361610799141<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:03:32 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 32 秒 (日本時間)
4511e6585 / 4409CypJanuary 27, 2015 04:57:38 UTC 2015 年 1 月 27 日 (火) 13 時 57 分 38 秒 (日本時間)

682×10234-79

c169

name 名前Cyp
date 日付July 20, 2015 17:33:02 UTC 2015 年 7 月 21 日 (火) 2 時 33 分 2 秒 (日本時間)
composite number 合成数
7974257546344666672810327000325195183585631122247236849724038244244457501027971331380048365089199868993148610932957780603628352664221212108673340217500881545467599517809<169>
prime factors 素因数
518904332688873103740565470619003<33>
161682019704837853623489316044633260755513<42>
composite cofactor 合成数の残り
95047617566192699887337664125758725634082659645698320047265005121652403898211143828466899067931<95>
factorization results 素因数分解の結果
Run 3 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=552770502
Step 1 took 50359ms
Step 2 took 17478ms
********** Factor found in step 2: 518904332688873103740565470619003
Found probable prime factor of 33 digits: 518904332688873103740565470619003
Composite cofactor 15367490776235060618227348111478318011792035737616718266679392329031502208504731549558711305319880529774479564390891139965234300569753603 has 137 digits
--
Run 392 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=490384268
Step 1 took 42636ms
Step 2 took 15148ms
********** Factor found in step 2: 161682019704837853623489316044633260755513
Found probable prime factor of 42 digits: 161682019704837853623489316044633260755513
Composite cofactor 95047617566192699887337664125758725634082659645698320047265005121652403898211143828466899067931 has 95 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

c95

name 名前Cyp
date 日付July 21, 2015 23:03:10 UTC 2015 年 7 月 22 日 (水) 8 時 3 分 10 秒 (日本時間)
composite number 合成数
95047617566192699887337664125758725634082659645698320047265005121652403898211143828466899067931<95>
prime factors 素因数
11737013137705854952145645191440977137098194191<47>
8098109497794337281340460288014253167272752857141<49>
factorization results 素因数分解の結果
07/21/15 23:07:21 v1.34.3, 
07/21/15 23:07:21 v1.34.3, ****************************
07/21/15 23:07:21 v1.34.3, Starting factorization of 95047617566192699887337664125758725634082659645698320047265005121652403898211143828466899067931
07/21/15 23:07:21 v1.34.3, using pretesting plan: none
07/21/15 23:07:21 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
07/21/15 23:07:21 v1.34.3, ****************************
07/21/15 23:07:21 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C95
07/21/15 23:07:21 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C95
07/21/15 23:07:21 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C95
07/21/15 23:07:21 v1.34.3, final ECM pretested depth: 0.00
07/21/15 23:07:21 v1.34.3, scheduler: switching to sieve method
07/21/15 23:07:21 v1.34.3, starting SIQS on c95: 95047617566192699887337664125758725634082659645698320047265005121652403898211143828466899067931
07/21/15 23:07:21 v1.34.3, random seeds: 3234284070, 4282385024
07/21/15 23:07:23 v1.34.3, ==== sieve params ====
07/21/15 23:07:23 v1.34.3, n = 97 digits, 319 bits
07/21/15 23:07:23 v1.34.3, factor base: 94288 primes (max prime = 2582357)
07/21/15 23:07:23 v1.34.3, single large prime cutoff: 335706410 (130 * pmax)
07/21/15 23:07:23 v1.34.3, double large prime range from 43 to 51 bits
07/21/15 23:07:23 v1.34.3, double large prime cutoff: 2221914488036374
07/21/15 23:07:23 v1.34.3, allocating 9 large prime slices of factor base
07/21/15 23:07:23 v1.34.3, buckets hold 2048 elements
07/21/15 23:07:23 v1.34.3, using 32k sieve core
07/21/15 23:07:23 v1.34.3, sieve interval: 18 blocks of size 32768
07/21/15 23:07:23 v1.34.3, polynomial A has ~ 12 factors
07/21/15 23:07:23 v1.34.3, using multiplier of 11
07/21/15 23:07:23 v1.34.3, using SPV correction of 19 bits, starting at offset 32
07/21/15 23:07:23 v1.34.3, using SSE2 for trial division and x128 sieve scanning
07/21/15 23:07:23 v1.34.3, using SSE4.1 enabled 32k sieve core
07/21/15 23:07:23 v1.34.3, using SSE2 for resieving 13-16 bit primes
07/21/15 23:07:23 v1.34.3, trial factoring cutoff at 102 bits
07/21/15 23:07:23 v1.34.3, ==== sieving started ( 8 threads) ====
07/22/15 00:58:51 v1.34.3, 95451 relations found: 25011 full + 70440 from 1266937 partial, using 1547804 polys (1507 A polys)
07/22/15 00:58:51 v1.34.3, on average, sieving found 0.83 rels/poly and 193.12 rels/sec
07/22/15 00:58:51 v1.34.3, trial division touched 66846558 sieve locations out of 0
07/22/15 00:58:51 v1.34.3, ==== post processing stage (msieve-1.38) ====
07/22/15 00:58:54 v1.34.3, begin with 1291948 relations
07/22/15 00:58:57 v1.34.3, reduce to 237825 relations in 13 passes
07/22/15 00:59:06 v1.34.3, recovered 237825 relations
07/22/15 00:59:06 v1.34.3, recovered 220499 polynomials
07/22/15 00:59:06 v1.34.3, freed 52 duplicate relations
07/22/15 00:59:06 v1.34.3, attempting to build 95399 cycles
07/22/15 00:59:07 v1.34.3, found 95399 cycles in 5 passes
07/22/15 00:59:07 v1.34.3, distribution of cycle lengths:
07/22/15 00:59:07 v1.34.3,    length 1 : 25008
07/22/15 00:59:07 v1.34.3,    length 2 : 18191
07/22/15 00:59:07 v1.34.3,    length 3 : 16391
07/22/15 00:59:07 v1.34.3,    length 4 : 12685
07/22/15 00:59:07 v1.34.3,    length 5 : 9206
07/22/15 00:59:07 v1.34.3,    length 6 : 5923
07/22/15 00:59:07 v1.34.3,    length 7 : 3588
07/22/15 00:59:07 v1.34.3,    length 9+: 4407
07/22/15 00:59:07 v1.34.3, largest cycle: 20 relations
07/22/15 00:59:08 v1.34.3, matrix is 94288 x 95399 (26.8 MB) with weight 6262232 (65.64/col)
07/22/15 00:59:08 v1.34.3, sparse part has weight 6262232 (65.64/col)
07/22/15 00:59:10 v1.34.3, filtering completed in 4 passes
07/22/15 00:59:10 v1.34.3, matrix is 88648 x 88712 (24.8 MB) with weight 5789862 (65.27/col)
07/22/15 00:59:10 v1.34.3, sparse part has weight 5789862 (65.27/col)
07/22/15 00:59:12 v1.34.3, saving the first 48 matrix rows for later
07/22/15 00:59:13 v1.34.3, matrix is 88600 x 88712 (21.6 MB) with weight 5125358 (57.78/col)
07/22/15 00:59:13 v1.34.3, sparse part has weight 4777111 (53.85/col)
07/22/15 00:59:13 v1.34.3, matrix includes 64 packed rows
07/22/15 00:59:13 v1.34.3, using block size 35484 for processor cache size 8192 kB
07/22/15 00:59:16 v1.34.3, commencing Lanczos iteration
07/22/15 00:59:16 v1.34.3, memory use: 16.9 MB
07/22/15 01:03:06 v1.34.3, lanczos halted after 1403 iterations (dim = 88596)
07/22/15 01:03:06 v1.34.3, recovered 15 nontrivial dependencies
07/22/15 01:03:08 v1.34.3, prp49 = 8098109497794337281340460288014253167272752857141
07/22/15 01:03:08 v1.34.3, prp47 = 11737013137705854952145645191440977137098194191
07/22/15 01:03:08 v1.34.3, Lanczos elapsed time = 34.4313 seconds.
07/22/15 01:03:08 v1.34.3, Sqrt elapsed time = 0.1681 seconds.
07/22/15 01:03:08 v1.34.3, SIQS elapsed time = 6946.5886 seconds.
07/22/15 01:03:08 v1.34.3, 
07/22/15 01:03:08 v1.34.3, 
07/22/15 01:03:09 v1.34.3, Total factoring time = 6947.7760 seconds
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)
403e6300Serge BatalovJanuary 9, 2015 00:03:33 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 33 秒 (日本時間)
4511e6585 / 4409CypJuly 20, 2015 17:33:02 UTC 2015 年 7 月 21 日 (火) 2 時 33 分 2 秒 (日本時間)

682×10235-79

c227

composite cofactor 合成数の残り
22985482145597570415345343836823108998161942526938203391306373962488502935120403104243492214191056912021912781752206544842784019860619949260955670492724665508856782631334990190915448094487851301190822072643619489417622858208557<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:03:34 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 34 秒 (日本時間)
1CypJanuary 9, 2015 01:21:41 UTC 2015 年 1 月 9 日 (金) 10 時 21 分 41 秒 (日本時間)
4511e6585 / 4409CypJuly 20, 2015 23:35:10 UTC 2015 年 7 月 21 日 (火) 8 時 35 分 10 秒 (日本時間)

682×10236-79

c238

name 名前Serge Batalov
date 日付January 9, 2015 03:49:28 UTC 2015 年 1 月 9 日 (金) 12 時 49 分 28 秒 (日本時間)
composite number 合成数
7577777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<238>
prime factors 素因数
1793884515237552024248668216516001869<37>
composite cofactor 合成数の残り
4224228323178487210877212296073922912042775807270312225890056045747062188762241708170763576374257329598739776007336314565068173240941591386150210730185073511189323792796649583784338098962781163291786933<202>
factorization results 素因数分解の結果
Input number is 7577777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (238 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=882407810
Step 1 took 22889ms
Step 2 took 15473ms
********** Factor found in step 2: 1793884515237552024248668216516001869
Found probable prime factor of 37 digits: 1793884515237552024248668216516001869
Composite cofactor 4224228323178487210877212296073922912042775807270312225890056045747062188762241708170763576374257329598739776007336314565068173240941591386150210730185073511189323792796649583784338098962781163291786933 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)
403e6300Serge BatalovJanuary 9, 2015 00:03:34 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 34 秒 (日本時間)
4511e6585 / 4409CypJuly 20, 2015 15:54:53 UTC 2015 年 7 月 21 日 (火) 0 時 54 分 53 秒 (日本時間)

682×10238-79

c209

name 名前Serge Batalov
date 日付January 9, 2015 02:47:01 UTC 2015 年 1 月 9 日 (金) 11 時 47 分 1 秒 (日本時間)
composite number 合成数
20754410839551684709297721414043167749384940565159759653586746311636085354157982808122192506623974559748018816757058242237030819909039861050748098093904085063803150596988983511512266895185836461385560037205059<209>
prime factors 素因数
38997052730679417131581488193159<32>
279301299522089758828233310725287<33>
1905485583669528208526153597443788896803668256242429984241451750133051494247477824540913381685479500798740602415566638167124219465991061405237523<145>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1428735454
Step 1 took 16281ms
Step 2 took 5675ms
********** Factor found in step 2: 38997052730679417131581488193159
Found probable prime factor of 32 digits: 38997052730679417131581488193159

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3001181751
Step 1 took 16128ms
Step 2 took 11089ms
********** Factor found in step 2: 279301299522089758828233310725287
Found probable prime factor of 33 digits: 279301299522089758828233310725287

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:03:35 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 35 秒 (日本時間)

682×10239-79

c227

composite cofactor 合成数の残り
31349790408674040079745781847418332199060245062626833747689158183404869978174054238824391912593893734641038006925503060892693554002592842061060913876214267313699170856806137492437373968792804571798020656001331274654626437104847<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:03:35 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 35 秒 (日本時間)
4511e6585 / 4409CypJuly 20, 2015 17:45:18 UTC 2015 年 7 月 21 日 (火) 2 時 45 分 18 秒 (日本時間)

682×10240-79

c198

name 名前Serge Batalov
date 日付January 9, 2015 03:49:32 UTC 2015 年 1 月 9 日 (金) 12 時 49 分 32 秒 (日本時間)
composite number 合成数
584023829254240239315161803737308534992955813112329347947520854306041368497596061019140754205221525040201809732017798697354510693061217536976257939042031671091157323458355183546543555859960027466981<198>
prime factors 素因数
79704972215619598105120964955116863<35>
7327319902632002263572658867895628535066568404229446714094027175620347354171578690947259838911744452925276516419316333085880017749056203278933258929762000118407387<163>
factorization results 素因数分解の結果
Input number is 584023829254240239315161803737308534992955813112329347947520854306041368497596061019140754205221525040201809732017798697354510693061217536976257939042031671091157323458355183546543555859960027466981 (198 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=540737445
Step 1 took 16204ms
Step 2 took 10862ms
********** Factor found in step 2: 79704972215619598105120964955116863
Found probable prime factor of 35 digits: 79704972215619598105120964955116863
Probable prime cofactor 7327319902632002263572658867895628535066568404229446714094027175620347354171578690947259838911744452925276516419316333085880017749056203278933258929762000118407387 has 163 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:03:36 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 36 秒 (日本時間)

682×10241-79

c232

name 名前Serge Batalov
date 日付January 9, 2015 03:49:36 UTC 2015 年 1 月 9 日 (金) 12 時 49 分 36 秒 (日本時間)
composite number 合成数
6598632203138935154441721953998203432306528145163941509788136822938905993332250779904513452732951665546208232079147080149385913948302235568216160403259994238075695426184511078513775337140686300076952529773007705679792430981253732289<232>
prime factors 素因数
53468048210363784541978563052597117<35>
composite cofactor 合成数の残り
123412625371649778967058433968805883351690682162950398530718560131577903340165202743563913952906789086531655871604310559297107966278493164913111744847056462362233867837214974045423621200186413728917<198>
factorization results 素因数分解の結果
Input number is 6598632203138935154441721953998203432306528145163941509788136822938905993332250779904513452732951665546208232079147080149385913948302235568216160403259994238075695426184511078513775337140686300076952529773007705679792430981253732289 (232 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3567390586
Step 1 took 23399ms
Step 2 took 15591ms
********** Factor found in step 2: 53468048210363784541978563052597117
Found probable prime factor of 35 digits: 53468048210363784541978563052597117
Composite cofactor 123412625371649778967058433968805883351690682162950398530718560131577903340165202743563913952906789086531655871604310559297107966278493164913111744847056462362233867837214974045423621200186413728917 has 198 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)
403e6301300Serge BatalovJanuary 9, 2015 00:03:37 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 37 秒 (日本時間)
1CypJanuary 9, 2015 00:46:53 UTC 2015 年 1 月 9 日 (金) 9 時 46 分 53 秒 (日本時間)
4511e6585 / 4409CypJuly 20, 2015 15:24:36 UTC 2015 年 7 月 21 日 (火) 0 時 24 分 36 秒 (日本時間)

682×10246-79

c232

name 名前Serge Batalov
date 日付January 9, 2015 03:49:39 UTC 2015 年 1 月 9 日 (金) 12 時 49 分 39 秒 (日本時間)
composite number 合成数
1180856650267964713416928853356898480157968586584917934714948777920608602290505708283755907554807992247745800582437761942622529294648299721915809837018380611194440279341783097977468664872800355910768612440955493996065877553221688881<232>
prime factors 素因数
556217902166392810669436541013194493<36>
composite cofactor 合成数の残り
2123010866188753069494025722553671963639742925446437715603360535027798529517787678083471597816261970726995099429962464325417088275861912753342184442178956494184505708807256651269354898556280552517<196>
factorization results 素因数分解の結果
Input number is 1180856650267964713416928853356898480157968586584917934714948777920608602290505708283755907554807992247745800582437761942622529294648299721915809837018380611194440279341783097977468664872800355910768612440955493996065877553221688881 (232 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3720843398
Step 1 took 21857ms
Step 2 took 14106ms
********** Factor found in step 2: 556217902166392810669436541013194493
Found probable prime factor of 36 digits: 556217902166392810669436541013194493
Composite cofactor 2123010866188753069494025722553671963639742925446437715603360535027798529517787678083471597816261970726995099429962464325417088275861912753342184442178956494184505708807256651269354898556280552517 has 196 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)
403e6301300Serge BatalovJanuary 9, 2015 00:03:37 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 37 秒 (日本時間)
1CypJanuary 9, 2015 00:55:22 UTC 2015 年 1 月 9 日 (金) 9 時 55 分 22 秒 (日本時間)
4511e6585 / 4409CypFebruary 2, 2015 00:40:42 UTC 2015 年 2 月 2 日 (月) 9 時 40 分 42 秒 (日本時間)

682×10249-79

c228

composite cofactor 合成数の残り
210437907909910708115703432101757574510899673226146123844163426715437046907407150605929875819984764587284932116894700739014141161901501537007026299856310803073820756163159860503738359502528653481343306758418775146430600448909271<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:03:38 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 38 秒 (日本時間)
1CypJanuary 9, 2015 00:54:41 UTC 2015 年 1 月 9 日 (金) 9 時 54 分 41 秒 (日本時間)
4511e6585 / 4409CypJuly 20, 2015 15:36:45 UTC 2015 年 7 月 21 日 (火) 0 時 36 分 45 秒 (日本時間)

682×10250-79

c216

composite cofactor 合成数の残り
116759999597860261943492142453152685133201048170970837533597245350214111793071775548361048375347383573206519918530747453199543998841826536321992828918130911672562956092001284913918639263440945317391073016332276920511<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:03:38 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 38 秒 (日本時間)
1CypJanuary 9, 2015 00:58:08 UTC 2015 年 1 月 9 日 (金) 9 時 58 分 8 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovApril 29, 2015 14:48:13 UTC 2015 年 4 月 29 日 (水) 23 時 48 分 13 秒 (日本時間)

682×10251-79

c245

composite cofactor 合成数の残り
35340789845127284780055488055942434861163300311598863135708139166979060853031910016342156419060288905847596996594792086586307296683693708937963140759436605854665828215236878813142647551985901557781130913991057052512388901725316684322474445034703<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

682×10252-79

c201

composite cofactor 合成数の残り
738673563518881936057974033288095716301633366413950823333771112366470894211989109058820986834094136995645308739106783710322846420993296062841762486508311219101529750614167766886216540413986707458452563<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

682×10253-79

c173

composite cofactor 合成数の残り
70032127020510469414815868507261676022748624342917638247978500767074215800781659810111289146950412276170190471759034892227396174749381679205128288236896471493072004102536949<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik 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 DomanovDecember 22, 2018 06:04:07 UTC 2018 年 12 月 22 日 (土) 15 時 4 分 7 秒 (日本時間)
5043e6550 / 6996Dmitry DomanovJanuary 6, 2019 10:05:29 UTC 2019 年 1 月 6 日 (日) 19 時 5 分 29 秒 (日本時間)

682×10254-79

c243

composite cofactor 合成数の残り
428885543579753695180681345136661430791938579480401867720833811328068082830891881850046614018672460420633861520699076802877094955365669604442394978598277977765677726911431003871683805943665166637314897775191316239855544131651001250222876464869<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

682×10255-79

c201

composite cofactor 合成数の残り
910007931142187754668540087383441592178456277551469187790986714133227235312229058369596857296997637907329844564254110296038512102336778183437089455027212859731324950034580459233541907258516899523596787<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

682×10257-79

c232

composite cofactor 合成数の残り
1044516229585528155212067254251817489684464375753855627903003107995914308884100407158338166276278172722700144952550215603342998642962725714405007450819287039765377470459700858761214601220409889326603580339117096073176065503666143057<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

682×10259-79

c201

composite cofactor 合成数の残り
267946545123908440090715020563491027414728994182657828021456093260881074186300822685260060664164095216163481774773154186274194689201150009986897525852859936319465099085210653639904677449578491362912523<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

682×10262-79

c257

composite cofactor 合成数の残り
22628987226305012449078515952926676430776031818691935640466085334620889526176912141374391978274871593686673156673475304214797186988607078033318436359147124885475176762501389799730509997547940197930840579179836645986459948811173713441125020870844322120500943<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

682×10263-79

c265

composite cofactor 合成数の残り
7577777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik 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 1, 2019 00:07:13 UTC 2019 年 1 月 1 日 (火) 9 時 7 分 13 秒 (日本時間)
5043e64940540Dmitry DomanovJanuary 5, 2019 16:39:58 UTC 2019 年 1 月 6 日 (日) 1 時 39 分 58 秒 (日本時間)
2000Dmitry DomanovJuly 28, 2020 08:41:22 UTC 2020 年 7 月 28 日 (火) 17 時 41 分 22 秒 (日本時間)
2400Dmitry DomanovAugust 1, 2020 12:51:48 UTC 2020 年 8 月 1 日 (土) 21 時 51 分 48 秒 (日本時間)
5511e7854 / 15859Dmitry DomanovAugust 26, 2020 22:59:08 UTC 2020 年 8 月 27 日 (木) 7 時 59 分 8 秒 (日本時間)

682×10264-79

c245

composite cofactor 合成数の残り
44511586448784366171824372536784400955653169768433610704463455100962458914056946121735094243884103493966967259452110957761745546077684341629738312904320452291646429758658426743065312768174695397100609996752580486726011104710029872132788555471879<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

682×10266-79

c232

composite cofactor 合成数の残り
1047625540021218292872804561582697130479050334831269070134178778500207142088458409909237646444134840217709316414553724854674352825871915639129291446983512038236554078604340258247659817927600763125706752121108744908620032953802314413<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

682×10269-79

c246

composite cofactor 合成数の残り
360303257558023094453745260723955058498882988289382183357318487690032184537294270416172432916855497534571883903880235670393733888195168436929999030753206772838995781056415421122966607633319150290592257437834324020732435386304636974222236751032643<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

682×10270-79

c254

composite cofactor 合成数の残り
15809030330689445701443908136757847010884292773466767453749716893854823541396630180753361439492586678434600597901165133723961138546064717590143410552901626457733441118182178621784461386217848479885855455962601763355856537768412178539984107784782084305627<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

682×10271-79

c150

composite cofactor 合成数の残り
150481809921701296621683650808659179182545786762156911694296143634872730742049296337307226172557828665926760717427881593036820059617057918657220738463<150>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e650001000Dmitry DomanovApril 29, 2019 04:45:13 UTC 2019 年 4 月 29 日 (月) 13 時 45 分 13 秒 (日本時間)
4000Robert BalfourApril 12, 2020 11:27:00 UTC 2020 年 4 月 12 日 (日) 20 時 27 分 0 秒 (日本時間)

682×10274-79

c211

composite cofactor 合成数の残り
6881295754964991726610042506111501041164086951397386704416744349005194838180331554280435901831079172799391918006449617938683113847836893191700089233372373740206919796832232299167811203603606704531823334068881651<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

682×10277-79

c223

composite cofactor 合成数の残り
2598732983002921749026402248764332990314948374048146585765275333218507499739957223476433539939763387694998771205650443132796350643856662204834931706206575269753616803205751891645073188356180587229493279061387527198956637087<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

682×10281-79

c207

composite cofactor 合成数の残り
325662309809185510563805790896266985952703140233652765957904323059508103209273970995513703738301998219714833789314509636681808366842820364377600905688622312721383015843857079196611092750705579345238246466743<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

682×10283-79

c281

composite cofactor 合成数の残り
43048217791159335214325840923579945337600282780081677996806099970333339645388727931476326636242559664703617438946644195749461897277610508309820926988455250683279996465248979025039923750370833254432640900856545917046968004191204782013166947553131726284029868646127238412644309366459<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

682×10286-79

c275

composite cofactor 合成数の残り
93073796063015941407283641450448056269280264720895000759356388208257095786838591191540663125631882825265239609115858694905738922445527762055327627266837092922860398218284381821636629177770979629749598159678717374919780484760127182156956510062239150764043641711244761589230789<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

682×10287-79

c288

composite cofactor 合成数の残り
445751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281<288>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

682×10288-79

c232

composite cofactor 合成数の残り
5412572160890501074844031106082617481976366327447860056957613805085906733060984359282446147021600441451326901760792508780172049537853669028460314390429097654256550317938195646840080495890920119658511906365883136379655253272397947589<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

682×10289-79

c256

composite cofactor 合成数の残り
2210989081171405540645588509206065759768994429126448111434895962109093194093223485830692417556167883608458475916868199494992875416716152241378330962212560147681566376181909164982821870610718190680627718213590044784672665653047844743231399579170843117140231<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

682×10290-79

c283

composite cofactor 合成数の残り
2013946693717693906977758107873438344882613478711760992325675134156384321332867588020944179440405656993306521981695780140246451486248097701808327895181894374927609782395945121097061267059846367218099938962623598258813139424293568440187574295056447064628426944713073262450475541448837<283>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

682×10291-79

c224

composite cofactor 合成数の残り
22887918440582399355439379573264299138561257882190060115297233665915679023570121930978088038045890661134281871402872026229522916937136851698165108394441358437413311486739873807328459654110178564953087891744666285581280077003<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

682×10292-79

c219

composite cofactor 合成数の残り
461017628996735600714017088519168789871660059279980199991745434962418370266611444627235047745073956635053268683166691912826692581922577253681032775073337243600628996335367920885514170755223750613776156241530367028585311<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

682×10293-79

c271

composite cofactor 合成数の残り
4947018845238797985858287694429733081973553391163500778344629218201123215149080783906593942380653856943191727932839861355580329860991932230567081110737537886236884081339018478270206013774456509143233330242200313069293939806249515844195787597551415107157446076233085361651<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

682×10297-79

c292

composite cofactor 合成数の残り
7663170788828935251971066968325924047213087374315993184632088529892933705943214803295338725800996016690565759202296730939657665036579898561417218266082211687272562119241117320414351015448221949426825724877808663052773751523125421284780472011544016213651358966145223850713432773199370321076631<292>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

682×10298-79

c254

composite cofactor 合成数の残り
35891226250977956562679631530567503238288112255729510347437767894073677326423681076302723030754287991881571717422802984015570400089833136843306794188441858521944834984269050280743969242224651065723555471863433574358946928259596351410774921803742482850603<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

682×10299-79

c296

composite cofactor 合成数の残り
57284592712425464933345764593921953522204499276383040736736978884495950180883241064821464419296340253681711011829016410103927018420944322231713657671641690752234057118282604550681325474760761229922044236808794612896424920645719992574841648418752052627909691931523912957657278545072139109165786819<296>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)