Table of contents 目次

154×10101-19

c103

name 名前Dmitry Domanov
date 日付December 6, 2014 14:59:49 UTC 2014 年 12 月 6 日 (土) 23 時 59 分 49 秒 (日本時間)
composite number 合成数
1711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<103>
prime factors 素因数
1055372057981497923057116551442668477477<40>
1621334484052740731634194125807216118692236660033589759586974843<64>
factorization results 素因数分解の結果
N=1711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
  ( 103 digits)
SNFS difficulty: 103 digits.
Divisors found:
 r1=1055372057981497923057116551442668477477 (pp40)
 r2=1621334484052740731634194125807216118692236660033589759586974843 (pp64)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 0.14 hours.
Scaled time: 0.31 units (timescale=2.136).
Factorization parameters were as follows:
n: 1711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 10000000000000000000000000
deg: 4
c4: 1540
c0: -1
skew: 0.16
# Murphy_E = 2.473e-07
type: snfs
lss: 1
rlim: 370000
alim: 370000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2
Factor base limits: 370000/370000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [185000, 275001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 37531 x 37772
Total sieving time: 0.13 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,103.000,4,0,0,0,0,0,0,0,0,370000,370000,25,25,43,43,2.2,2.2,10000
total time: 0.14 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

154×10108-19

c108

name 名前Dmitry Domanov
date 日付December 6, 2014 17:01:48 UTC 2014 年 12 月 7 日 (日) 2 時 1 分 48 秒 (日本時間)
composite number 合成数
241001564945226917057902973395931142410015649452269170579029733959311424100156494522691705790297339593114241<108>
prime factors 素因数
5170606766591219804567845707348751<34>
11960145391184081985954974058673783<35>
3897103081489698539242931201335087499977<40>
factorization results 素因数分解の結果
N=241001564945226917057902973395931142410015649452269170579029733959311424100156494522691705790297339593114241
  ( 108 digits)
SNFS difficulty: 110 digits.
Divisors found:
 r1=5170606766591219804567845707348751 (pp34)
 r2=11960145391184081985954974058673783 (pp35)
 r3=3897103081489698539242931201335087499977 (pp40)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 0.39 hours.
Scaled time: 0.81 units (timescale=2.069).
Factorization parameters were as follows:
n: 241001564945226917057902973395931142410015649452269170579029733959311424100156494522691705790297339593114241
m: 2000000000000000000000
deg: 5
c5: 9625
c0: -2
skew: 0.18
# Murphy_E = 3.365e-08
type: snfs
lss: 1
rlim: 490000
alim: 490000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 490000/490000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [245000, 495001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 49964 x 50189
Total sieving time: 0.36 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,110.000,5,0,0,0,0,0,0,0,0,490000,490000,25,25,44,44,2.2,2.2,50000
total time: 0.39 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

154×10113-19

c115

name 名前KTakahashi
date 日付December 6, 2014 17:39:59 UTC 2014 年 12 月 7 日 (日) 2 時 39 分 59 秒 (日本時間)
composite number 合成数
1711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<115>
prime factors 素因数
77635262527014240475595473455798237837311<41>
22040385456489012814437251439082155672330793155005021472826510807534175801<74>
factorization results 素因数分解の結果
Number: 17111_113
N=1711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
  ( 115 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=77635262527014240475595473455798237837311 (pp41)
 r2=22040385456489012814437251439082155672330793155005021472826510807534175801 (pp74)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.69 hours.
Scaled time: 2.91 units (timescale=1.719).
Factorization parameters were as follows:
n: 1711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 100000000000000000000000
c5: 77
c0: -50
skew: 0.92
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 82982 x 83216
Total sieving time: 1.64 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,116.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.69 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

154×10117-19

c112

name 名前KTakahashi
date 日付December 6, 2014 17:40:36 UTC 2014 年 12 月 7 日 (日) 2 時 40 分 36 秒 (日本時間)
composite number 合成数
2693398754240113595666524283814340246116132113587481390407292436591752928445891953889223202636858367923831522731<112>
prime factors 素因数
1012896926691066338430200289950269<34>
528092387168045418026089227600444599<36>
5035301669418101973157954984263497407287601<43>
factorization results 素因数分解の結果
Number: 17111_117
N=2693398754240113595666524283814340246116132113587481390407292436591752928445891953889223202636858367923831522731
  ( 112 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=1012896926691066338430200289950269 (pp34)
 r2=528092387168045418026089227600444599 (pp36)
 r3=5035301669418101973157954984263497407287601 (pp43)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.11 hours.
Scaled time: 4.37 units (timescale=2.068).
Factorization parameters were as follows:
n: 2693398754240113595666524283814340246116132113587481390407292436591752928445891953889223202636858367923831522731
m: 1000000000000000000000000
c5: 77
c0: -500
skew: 1.45
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 110133 x 110358
Total sieving time: 2.05 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,121.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.11 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

154×10122-19

c102

name 名前KTakahashi
date 日付December 6, 2014 19:16:42 UTC 2014 年 12 月 7 日 (日) 4 時 16 分 42 秒 (日本時間)
composite number 合成数
161238008199185454719151857945265836238036202725140006501219354480984368738605772124671163844278238163<102>
prime factors 素因数
48633480009038598076554058738933200173842390620229<50>
3315370567132336667826476346470448031031338849550647<52>
factorization results 素因数分解の結果
Number: 17111_122
N=161238008199185454719151857945265836238036202725140006501219354480984368738605772124671163844278238163
  ( 102 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=48633480009038598076554058738933200173842390620229 (pp50)
 r2=3315370567132336667826476346470448031031338849550647 (pp52)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.84 hours.
Scaled time: 5.87 units (timescale=2.068).
Factorization parameters were as follows:
n: 161238008199185454719151857945265836238036202725140006501219354480984368738605772124671163844278238163
m: 5000000000000000000000000
c5: 616
c0: -125
skew: 0.73
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 : 122004 x 122235
Total sieving time: 2.77 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,126.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.84 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 6, 2014 19:15:33 UTC 2014 年 12 月 7 日 (日) 4 時 15 分 33 秒 (日本時間)

154×10123-19

c113

name 名前Dmitry Domanov
date 日付December 7, 2014 00:07:13 UTC 2014 年 12 月 7 日 (日) 9 時 7 分 13 秒 (日本時間)
composite number 合成数
84005394159517010512053042230413494807992128563339917787500162286673034519912376728663677489797094726330498210819<113>
prime factors 素因数
263851963643845340876370443907027550684247818482779<51>
318380780644520079880918248835436929433654045324749777892304761<63>
factorization results 素因数分解の結果
N=84005394159517010512053042230413494807992128563339917787500162286673034519912376728663677489797094726330498210819
  ( 113 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=263851963643845340876370443907027550684247818482779 (pp51)
 r2=318380780644520079880918248835436929433654045324749777892304761 (pp63)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 1.04 hours.
Scaled time: 2.21 units (timescale=2.135).
Factorization parameters were as follows:
n: 84005394159517010512053042230413494807992128563339917787500162286673034519912376728663677489797094726330498210819
m: 2000000000000000000000000
deg: 5
c5: 9625
c0: -2
skew: 0.18
# Murphy_E = 1.018e-08
type: snfs
lss: 1
rlim: 860000
alim: 860000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 860000/860000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [430000, 680001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 130212 x 130460
Total sieving time: 0.95 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,125.000,5,0,0,0,0,0,0,0,0,860000,860000,26,26,46,46,2.3,2.3,50000
total time: 1.04 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

154×10126-19

c110

name 名前Dmitry Domanov
date 日付December 8, 2014 09:11:54 UTC 2014 年 12 月 8 日 (月) 18 時 11 分 54 秒 (日本時間)
composite number 合成数
82328809430947072303798722908579735644945726443506517578238866660242281911768496353092979322795066190256627807<110>
prime factors 素因数
18400703346524907811301691223765908127<38>
4474220788223043768349442596322174440086310495769045051129661286149259841<73>
factorization results 素因数分解の結果
N=82328809430947072303798722908579735644945726443506517578238866660242281911768496353092979322795066190256627807
  ( 110 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=18400703346524907811301691223765908127 (pp38)
 r2=4474220788223043768349442596322174440086310495769045051129661286149259841 (pp73)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 1.91 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 82328809430947072303798722908579735644945726443506517578238866660242281911768496353092979322795066190256627807
m: 10000000000000000000000000
deg: 5
c5: 1540
c0: -1
skew: 0.23
# Murphy_E = 8.94e-09
type: snfs
lss: 1
rlim: 960000
alim: 960000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 960000/960000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [480000, 830001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 128680 x 128910
Total sieving time: 1.76 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,128.000,5,0,0,0,0,0,0,0,0,960000,960000,26,26,47,47,2.3,2.3,50000
total time: 1.91 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

154×10128-19

c104

name 名前Dmitry Domanov
date 日付December 8, 2014 11:19:04 UTC 2014 年 12 月 8 日 (月) 20 時 19 分 4 秒 (日本時間)
composite number 合成数
13416999515537371016434799017291562581596627193519650973064138939049447996308317979370080262624852493943<104>
prime factors 素因数
963656653123079264474188158108240517<36>
13923008233331563377696396497877936857334658563597250630072871314379<68>
factorization results 素因数分解の結果
N=13416999515537371016434799017291562581596627193519650973064138939049447996308317979370080262624852493943
  ( 104 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=963656653123079264474188158108240517 (pp36)
 r2=13923008233331563377696396497877936857334658563597250630072871314379 (pp68)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 1.98 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 13416999515537371016434799017291562581596627193519650973064138939049447996308317979370080262624852493943
m: 20000000000000000000000000
deg: 5
c5: 9625
c0: -2
skew: 0.18
# Murphy_E = 6.747e-09
type: snfs
lss: 1
rlim: 1050000
alim: 1050000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1050000/1050000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [525000, 875001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 169053 x 169277
Total sieving time: 1.78 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,130.000,5,0,0,0,0,0,0,0,0,1050000,1050000,26,26,47,47,2.3,2.3,50000
total time: 1.98 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

154×10134-19

c124

name 名前Dmitry Domanov
date 日付December 9, 2014 14:01:33 UTC 2014 年 12 月 9 日 (火) 23 時 1 分 33 秒 (日本時間)
composite number 合成数
1645287432588087111916150342474107773588428337637944669276201304703541224604649886529742558842825941157848156660807785594737<124>
prime factors 素因数
29969946030307303890067780868962640407<38>
54897911091474086657911314953806763286933469061260281747180202026510859635375702411191<86>
factorization results 素因数分解の結果
N=1645287432588087111916150342474107773588428337637944669276201304703541224604649886529742558842825941157848156660807785594737
  ( 124 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=29969946030307303890067780868962640407 (pp38)
 r2=54897911091474086657911314953806763286933469061260281747180202026510859635375702411191 (pp86)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 2.84 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1645287432588087111916150342474107773588428337637944669276201304703541224604649886529742558842825941157848156660807785594737
m: 1000000000000000000000000000
deg: 5
c5: 77
c0: -5
skew: 0.58
# Murphy_E = 4.712e-09
type: snfs
lss: 1
rlim: 1340000
alim: 1340000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1340000/1340000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [670000, 1195001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 222282 x 222512
Total sieving time: 2.74 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1340000,1340000,26,26,48,48,2.3,2.3,75000
total time: 2.84 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 9, 2014 13:23:18 UTC 2014 年 12 月 9 日 (火) 22 時 23 分 18 秒 (日本時間)
403e6110 / 2126Ignacio SantosDecember 9, 2014 13:23:18 UTC 2014 年 12 月 9 日 (火) 22 時 23 分 18 秒 (日本時間)
4511e632 / 4437Ignacio SantosDecember 9, 2014 13:23:18 UTC 2014 年 12 月 9 日 (火) 22 時 23 分 18 秒 (日本時間)

154×10137-19

c129

name 名前Dmitry Domanov
date 日付December 11, 2014 23:10:10 UTC 2014 年 12 月 12 日 (金) 8 時 10 分 10 秒 (日本時間)
composite number 合成数
426002730156393845946491005972283505031690846139168417032562617683560222275381443167541897035108419957480212178094331908632402873<129>
prime factors 素因数
70500613518692343502801783613935671994145343043468310314552229<62>
6042539332561192891081246633320474780896527286906893851393929077637<67>
factorization results 素因数分解の結果
N=426002730156393845946491005972283505031690846139168417032562617683560222275381443167541897035108419957480212178094331908632402873
  ( 129 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=70500613518692343502801783613935671994145343043468310314552229 (pp62)
 r2=6042539332561192891081246633320474780896527286906893851393929077637 (pp67)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 3.66 hours.
Scaled time: 7.43 units (timescale=2.029).
Factorization parameters were as follows:
n: 426002730156393845946491005972283505031690846139168417032562617683560222275381443167541897035108419957480212178094331908632402873
m: 1000000000000000000000000000
deg: 5
c5: 15400
c0: -1
skew: 0.15
# Murphy_E = 3.012e-09
type: snfs
lss: 1
rlim: 1460000
alim: 1460000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1460000/1460000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [730000, 1630001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 236658 x 236884
Total sieving time: 3.46 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,139.000,5,0,0,0,0,0,0,0,0,1460000,1460000,26,26,48,48,2.3,2.3,75000
total time: 3.66 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 9, 2014 19:51:15 UTC 2014 年 12 月 10 日 (水) 4 時 51 分 15 秒 (日本時間)
403e6110 / 2126Ignacio SantosDecember 9, 2014 19:51:15 UTC 2014 年 12 月 10 日 (水) 4 時 51 分 15 秒 (日本時間)
4511e632 / 4437Ignacio SantosDecember 9, 2014 19:51:15 UTC 2014 年 12 月 10 日 (水) 4 時 51 分 15 秒 (日本時間)

154×10139-19

c118

name 名前Cyp
date 日付December 13, 2014 17:00:38 UTC 2014 年 12 月 14 日 (日) 2 時 0 分 38 秒 (日本時間)
composite number 合成数
2272746295985907843939317938168282674342951386762492560744515142039253978428718615338831443099879359409787168268422073<118>
prime factors 素因数
533969928592401449607780601098936070506375069946003<51>
4256318894168995900908897363276233542713223758675929948731382578691<67>
factorization results 素因数分解の結果
12/13/14 17:15:03 v1.34.3, 
12/13/14 17:15:03 v1.34.3, ****************************
12/13/14 17:15:03 v1.34.3, Starting factorization of 2272746295985907843939317938168282674342951386762492560744515142039253978428718615338831443099879359409787168268422073
12/13/14 17:15:03 v1.34.3, using pretesting plan: none
12/13/14 17:15:03 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/13/14 17:15:03 v1.34.3, ****************************
12/13/14 17:15:03 v1.34.3, nfs: commencing nfs on c118: 2272746295985907843939317938168282674342951386762492560744515142039253978428718615338831443099879359409787168268422073
12/13/14 17:15:03 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/13/14 17:15:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/13/14 17:15:53 v1.34.3, nfs: commencing lattice sieving with 8 threads
[45 lines snipped]
12/13/14 17:56:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/13/14 17:56:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/13/14 17:57:51 v1.34.3, nfs: commencing msieve filtering
12/13/14 17:58:46 v1.34.3, nfs: commencing msieve linear algebra
12/13/14 18:00:22 v1.34.3, nfs: commencing msieve sqrt
12/13/14 18:00:37 v1.34.3, prp51 = 533969928592401449607780601098936070506375069946003
12/13/14 18:00:37 v1.34.3, prp67 = 4256318894168995900908897363276233542713223758675929948731382578691
12/13/14 18:00:37 v1.34.3, NFS elapsed time = 2734.4916 seconds.
12/13/14 18:00:37 v1.34.3, 
12/13/14 18:00:37 v1.34.3, 
12/13/14 18:00:37 v1.34.3, Total factoring time = 2734.4921 seconds
--
Sat Dec 13 17:57:51 2014  
Sat Dec 13 17:57:51 2014  commencing relation filtering
Sat Dec 13 17:57:51 2014  estimated available RAM is 15987.3 MB
Sat Dec 13 17:57:51 2014  commencing duplicate removal, pass 1
Sat Dec 13 17:58:04 2014  found 632830 hash collisions in 4555558 relations
Sat Dec 13 17:58:09 2014  added 180645 free relations
Sat Dec 13 17:58:09 2014  commencing duplicate removal, pass 2
Sat Dec 13 17:58:13 2014  found 464739 duplicates and 4271464 unique relations
Sat Dec 13 17:58:13 2014  memory use: 20.6 MB
Sat Dec 13 17:58:13 2014  reading ideals above 100000
Sat Dec 13 17:58:13 2014  commencing singleton removal, initial pass
Sat Dec 13 17:58:34 2014  memory use: 94.1 MB
Sat Dec 13 17:58:34 2014  reading all ideals from disk
Sat Dec 13 17:58:34 2014  memory use: 135.4 MB
Sat Dec 13 17:58:35 2014  keeping 4566248 ideals with weight <= 200, target excess is 22195
Sat Dec 13 17:58:35 2014  commencing in-memory singleton removal
Sat Dec 13 17:58:35 2014  begin with 4271464 relations and 4566248 unique ideals
Sat Dec 13 17:58:36 2014  reduce to 1872207 relations and 1543360 ideals in 11 passes
Sat Dec 13 17:58:36 2014  max relations containing the same ideal: 114
Sat Dec 13 17:58:37 2014  removing 515025 relations and 363475 ideals in 151550 cliques
Sat Dec 13 17:58:37 2014  commencing in-memory singleton removal
Sat Dec 13 17:58:37 2014  begin with 1357182 relations and 1543360 unique ideals
Sat Dec 13 17:58:38 2014  reduce to 1263560 relations and 1077136 ideals in 8 passes
Sat Dec 13 17:58:38 2014  max relations containing the same ideal: 89
Sat Dec 13 17:58:38 2014  removing 434331 relations and 282781 ideals in 151550 cliques
Sat Dec 13 17:58:38 2014  commencing in-memory singleton removal
Sat Dec 13 17:58:38 2014  begin with 829229 relations and 1077136 unique ideals
Sat Dec 13 17:58:38 2014  reduce to 746445 relations and 701673 ideals in 8 passes
Sat Dec 13 17:58:38 2014  max relations containing the same ideal: 60
Sat Dec 13 17:58:38 2014  removing 82306 relations and 63281 ideals in 19025 cliques
Sat Dec 13 17:58:38 2014  commencing in-memory singleton removal
Sat Dec 13 17:58:38 2014  begin with 664139 relations and 701673 unique ideals
Sat Dec 13 17:58:39 2014  reduce to 657108 relations and 631191 ideals in 6 passes
Sat Dec 13 17:58:39 2014  max relations containing the same ideal: 54
Sat Dec 13 17:58:39 2014  relations with 0 large ideals: 474
Sat Dec 13 17:58:39 2014  relations with 1 large ideals: 219
Sat Dec 13 17:58:39 2014  relations with 2 large ideals: 3186
Sat Dec 13 17:58:39 2014  relations with 3 large ideals: 22577
Sat Dec 13 17:58:39 2014  relations with 4 large ideals: 80750
Sat Dec 13 17:58:39 2014  relations with 5 large ideals: 161972
Sat Dec 13 17:58:39 2014  relations with 6 large ideals: 196568
Sat Dec 13 17:58:39 2014  relations with 7+ large ideals: 191362
Sat Dec 13 17:58:39 2014  commencing 2-way merge
Sat Dec 13 17:58:39 2014  reduce to 417354 relation sets and 391437 unique ideals
Sat Dec 13 17:58:39 2014  commencing full merge
Sat Dec 13 17:58:44 2014  memory use: 52.4 MB
Sat Dec 13 17:58:44 2014  found 210973 cycles, need 207637
Sat Dec 13 17:58:44 2014  weight of 207637 cycles is about 14913057 (71.82/cycle)
Sat Dec 13 17:58:44 2014  distribution of cycle lengths:
Sat Dec 13 17:58:44 2014  1 relations: 12776
Sat Dec 13 17:58:44 2014  2 relations: 17834
Sat Dec 13 17:58:44 2014  3 relations: 20384
Sat Dec 13 17:58:44 2014  4 relations: 20895
Sat Dec 13 17:58:44 2014  5 relations: 20594
Sat Dec 13 17:58:44 2014  6 relations: 19683
Sat Dec 13 17:58:44 2014  7 relations: 18066
Sat Dec 13 17:58:44 2014  8 relations: 15834
Sat Dec 13 17:58:44 2014  9 relations: 13564
Sat Dec 13 17:58:44 2014  10+ relations: 48007
Sat Dec 13 17:58:44 2014  heaviest cycle: 21 relations
Sat Dec 13 17:58:44 2014  commencing cycle optimization
Sat Dec 13 17:58:44 2014  start with 1390256 relations
Sat Dec 13 17:58:46 2014  pruned 47781 relations
Sat Dec 13 17:58:46 2014  memory use: 41.5 MB
Sat Dec 13 17:58:46 2014  distribution of cycle lengths:
Sat Dec 13 17:58:46 2014  1 relations: 12776
Sat Dec 13 17:58:46 2014  2 relations: 18229
Sat Dec 13 17:58:46 2014  3 relations: 21152
Sat Dec 13 17:58:46 2014  4 relations: 21584
Sat Dec 13 17:58:46 2014  5 relations: 21550
Sat Dec 13 17:58:46 2014  6 relations: 20462
Sat Dec 13 17:58:46 2014  7 relations: 18729
Sat Dec 13 17:58:46 2014  8 relations: 16242
Sat Dec 13 17:58:46 2014  9 relations: 13652
Sat Dec 13 17:58:46 2014  10+ relations: 43261
Sat Dec 13 17:58:46 2014  heaviest cycle: 21 relations
Sat Dec 13 17:58:46 2014  RelProcTime: 55
Sat Dec 13 17:58:46 2014  
Sat Dec 13 17:58:46 2014  commencing linear algebra
Sat Dec 13 17:58:46 2014  read 207637 cycles
Sat Dec 13 17:58:47 2014  cycles contain 642317 unique relations
Sat Dec 13 17:58:51 2014  read 642317 relations
Sat Dec 13 17:58:52 2014  using 20 quadratic characters above 67108494
Sat Dec 13 17:58:54 2014  building initial matrix
Sat Dec 13 17:58:58 2014  memory use: 78.5 MB
Sat Dec 13 17:58:58 2014  read 207637 cycles
Sat Dec 13 17:58:58 2014  matrix is 207465 x 207637 (62.6 MB) with weight 18976642 (91.39/col)
Sat Dec 13 17:58:58 2014  sparse part has weight 14129416 (68.05/col)
Sat Dec 13 17:58:59 2014  filtering completed in 2 passes
Sat Dec 13 17:58:59 2014  matrix is 207440 x 207616 (62.6 MB) with weight 18975906 (91.40/col)
Sat Dec 13 17:58:59 2014  sparse part has weight 14129143 (68.05/col)
Sat Dec 13 17:58:59 2014  matrix starts at (0, 0)
Sat Dec 13 17:58:59 2014  matrix is 207440 x 207616 (62.6 MB) with weight 18975906 (91.40/col)
Sat Dec 13 17:58:59 2014  sparse part has weight 14129143 (68.05/col)
Sat Dec 13 17:58:59 2014  saving the first 48 matrix rows for later
Sat Dec 13 17:58:59 2014  matrix includes 64 packed rows
Sat Dec 13 17:58:59 2014  matrix is 207392 x 207616 (59.1 MB) with weight 14942396 (71.97/col)
Sat Dec 13 17:58:59 2014  sparse part has weight 13408387 (64.58/col)
Sat Dec 13 17:58:59 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 13 17:59:00 2014  commencing Lanczos iteration (8 threads)
Sat Dec 13 17:59:00 2014  memory use: 56.2 MB
Sat Dec 13 17:59:04 2014  linear algebra at 5.9%, ETA 0h 1m
Sat Dec 13 18:00:22 2014  lanczos halted after 3281 iterations (dim = 207392)
Sat Dec 13 18:00:22 2014  recovered 37 nontrivial dependencies
Sat Dec 13 18:00:22 2014  BLanczosTime: 96
Sat Dec 13 18:00:22 2014  
Sat Dec 13 18:00:22 2014  commencing square root phase
Sat Dec 13 18:00:22 2014  reading relations for dependency 1
Sat Dec 13 18:00:22 2014  read 103791 cycles
Sat Dec 13 18:00:22 2014  cycles contain 321206 unique relations
Sat Dec 13 18:00:26 2014  read 321206 relations
Sat Dec 13 18:00:27 2014  multiplying 321206 relations
Sat Dec 13 18:00:31 2014  multiply complete, coefficients have about 8.27 million bits
Sat Dec 13 18:00:31 2014  initial square root is modulo 56591
Sat Dec 13 18:00:37 2014  sqrtTime: 15
--
n: 2272746295985907843939317938168282674342951386762492560744515142039253978428718615338831443099879359409787168268422073
m: 10000000000000000000000000000
deg: 5
c5: 77
c0: -5
skew: 0.58
# Murphy_E = 3.081e-09
type: snfs
lss: 1
rlim: 1620000
alim: 1620000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
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
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6580 / 2318280Pierre JammesDecember 10, 2014 14:40:14 UTC 2014 年 12 月 10 日 (水) 23 時 40 分 14 秒 (日本時間)
300Serge BatalovDecember 10, 2014 19:48:50 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 50 秒 (日本時間)

154×10140-19

c105

name 名前Cyp
date 日付December 13, 2014 19:42:45 UTC 2014 年 12 月 14 日 (日) 4 時 42 分 45 秒 (日本時間)
composite number 合成数
443799053594561054306728045006089937841291780159079432371548582834453877248853139742899056241007128734429<105>
prime factors 素因数
131580480623648968624168162487345626986358615133<48>
3372833504567675371316921192288666489143785979348349046913<58>
factorization results 素因数分解の結果
12/13/14 19:51:37 v1.34.3, 
12/13/14 19:51:37 v1.34.3, ****************************
12/13/14 19:51:37 v1.34.3, Starting factorization of 443799053594561054306728045006089937841291780159079432371548582834453877248853139742899056241007128734429
12/13/14 19:51:37 v1.34.3, using pretesting plan: none
12/13/14 19:51:37 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/13/14 19:51:37 v1.34.3, ****************************
12/13/14 19:51:37 v1.34.3, nfs: commencing nfs on c105: 443799053594561054306728045006089937841291780159079432371548582834453877248853139742899056241007128734429
12/13/14 19:51:37 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/13/14 19:51:37 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/13/14 19:51:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
[176 lines snipped]
12/13/14 20:39:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/13/14 20:39:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/13/14 20:39:31 v1.34.3, nfs: commencing msieve filtering
12/13/14 20:40:22 v1.34.3, nfs: commencing msieve linear algebra
12/13/14 20:42:27 v1.34.3, nfs: commencing msieve sqrt
12/13/14 20:42:44 v1.34.3, prp48 = 131580480623648968624168162487345626986358615133
12/13/14 20:42:44 v1.34.3, prp58 = 3372833504567675371316921192288666489143785979348349046913
12/13/14 20:42:44 v1.34.3, NFS elapsed time = 3067.5505 seconds.
12/13/14 20:42:44 v1.34.3, 
12/13/14 20:42:44 v1.34.3, 
12/13/14 20:42:44 v1.34.3, Total factoring time = 3067.5510 seconds
--
Sat Dec 13 20:39:31 2014  
Sat Dec 13 20:39:31 2014  commencing relation filtering
Sat Dec 13 20:39:31 2014  estimated available RAM is 15987.3 MB
Sat Dec 13 20:39:31 2014  commencing duplicate removal, pass 1
Sat Dec 13 20:39:43 2014  found 744450 hash collisions in 4471523 relations
Sat Dec 13 20:39:47 2014  added 177295 free relations
Sat Dec 13 20:39:47 2014  commencing duplicate removal, pass 2
Sat Dec 13 20:39:50 2014  found 628895 duplicates and 4019923 unique relations
Sat Dec 13 20:39:50 2014  memory use: 20.6 MB
Sat Dec 13 20:39:50 2014  reading ideals above 100000
Sat Dec 13 20:39:50 2014  commencing singleton removal, initial pass
Sat Dec 13 20:40:08 2014  memory use: 94.1 MB
Sat Dec 13 20:40:08 2014  reading all ideals from disk
Sat Dec 13 20:40:08 2014  memory use: 124.6 MB
Sat Dec 13 20:40:08 2014  keeping 4485150 ideals with weight <= 200, target excess is 20152
Sat Dec 13 20:40:08 2014  commencing in-memory singleton removal
Sat Dec 13 20:40:09 2014  begin with 4019923 relations and 4485150 unique ideals
Sat Dec 13 20:40:10 2014  reduce to 1580771 relations and 1384427 ideals in 15 passes
Sat Dec 13 20:40:10 2014  max relations containing the same ideal: 110
Sat Dec 13 20:40:11 2014  removing 370146 relations and 283662 ideals in 86484 cliques
Sat Dec 13 20:40:11 2014  commencing in-memory singleton removal
Sat Dec 13 20:40:11 2014  begin with 1210625 relations and 1384427 unique ideals
Sat Dec 13 20:40:11 2014  reduce to 1148183 relations and 1034082 ideals in 8 passes
Sat Dec 13 20:40:11 2014  max relations containing the same ideal: 84
Sat Dec 13 20:40:11 2014  removing 296863 relations and 210379 ideals in 86484 cliques
Sat Dec 13 20:40:11 2014  commencing in-memory singleton removal
Sat Dec 13 20:40:11 2014  begin with 851320 relations and 1034082 unique ideals
Sat Dec 13 20:40:12 2014  reduce to 803066 relations and 771725 ideals in 8 passes
Sat Dec 13 20:40:12 2014  max relations containing the same ideal: 65
Sat Dec 13 20:40:12 2014  relations with 0 large ideals: 480
Sat Dec 13 20:40:12 2014  relations with 1 large ideals: 200
Sat Dec 13 20:40:12 2014  relations with 2 large ideals: 3528
Sat Dec 13 20:40:12 2014  relations with 3 large ideals: 25414
Sat Dec 13 20:40:12 2014  relations with 4 large ideals: 95407
Sat Dec 13 20:40:12 2014  relations with 5 large ideals: 197349
Sat Dec 13 20:40:12 2014  relations with 6 large ideals: 244584
Sat Dec 13 20:40:12 2014  relations with 7+ large ideals: 236104
Sat Dec 13 20:40:12 2014  commencing 2-way merge
Sat Dec 13 20:40:12 2014  reduce to 507509 relation sets and 476168 unique ideals
Sat Dec 13 20:40:12 2014  commencing full merge
Sat Dec 13 20:40:19 2014  memory use: 62.4 MB
Sat Dec 13 20:40:19 2014  found 252601 cycles, need 242368
Sat Dec 13 20:40:19 2014  weight of 242368 cycles is about 17018979 (70.22/cycle)
Sat Dec 13 20:40:19 2014  distribution of cycle lengths:
Sat Dec 13 20:40:19 2014  1 relations: 13122
Sat Dec 13 20:40:19 2014  2 relations: 20894
Sat Dec 13 20:40:19 2014  3 relations: 24674
Sat Dec 13 20:40:19 2014  4 relations: 24421
Sat Dec 13 20:40:19 2014  5 relations: 23894
Sat Dec 13 20:40:19 2014  6 relations: 22634
Sat Dec 13 20:40:19 2014  7 relations: 20492
Sat Dec 13 20:40:19 2014  8 relations: 18217
Sat Dec 13 20:40:19 2014  9 relations: 15860
Sat Dec 13 20:40:19 2014  10+ relations: 58160
Sat Dec 13 20:40:19 2014  heaviest cycle: 20 relations
Sat Dec 13 20:40:19 2014  commencing cycle optimization
Sat Dec 13 20:40:19 2014  start with 1633598 relations
Sat Dec 13 20:40:21 2014  pruned 50646 relations
Sat Dec 13 20:40:21 2014  memory use: 48.8 MB
Sat Dec 13 20:40:21 2014  distribution of cycle lengths:
Sat Dec 13 20:40:21 2014  1 relations: 13122
Sat Dec 13 20:40:21 2014  2 relations: 21333
Sat Dec 13 20:40:21 2014  3 relations: 25646
Sat Dec 13 20:40:21 2014  4 relations: 25293
Sat Dec 13 20:40:21 2014  5 relations: 24856
Sat Dec 13 20:40:21 2014  6 relations: 23309
Sat Dec 13 20:40:21 2014  7 relations: 21136
Sat Dec 13 20:40:21 2014  8 relations: 18643
Sat Dec 13 20:40:21 2014  9 relations: 16073
Sat Dec 13 20:40:21 2014  10+ relations: 52957
Sat Dec 13 20:40:21 2014  heaviest cycle: 20 relations
Sat Dec 13 20:40:22 2014  RelProcTime: 51
Sat Dec 13 20:40:22 2014  
Sat Dec 13 20:40:22 2014  commencing linear algebra
Sat Dec 13 20:40:22 2014  read 242368 cycles
Sat Dec 13 20:40:22 2014  cycles contain 752002 unique relations
Sat Dec 13 20:40:26 2014  read 752002 relations
Sat Dec 13 20:40:27 2014  using 20 quadratic characters above 67099790
Sat Dec 13 20:40:29 2014  building initial matrix
Sat Dec 13 20:40:33 2014  memory use: 90.8 MB
Sat Dec 13 20:40:33 2014  read 242368 cycles
Sat Dec 13 20:40:33 2014  matrix is 242196 x 242368 (72.0 MB) with weight 22053576 (90.99/col)
Sat Dec 13 20:40:33 2014  sparse part has weight 16197508 (66.83/col)
Sat Dec 13 20:40:35 2014  filtering completed in 2 passes
Sat Dec 13 20:40:35 2014  matrix is 242020 x 242196 (71.9 MB) with weight 22045669 (91.02/col)
Sat Dec 13 20:40:35 2014  sparse part has weight 16193826 (66.86/col)
Sat Dec 13 20:40:35 2014  matrix starts at (0, 0)
Sat Dec 13 20:40:35 2014  matrix is 242020 x 242196 (71.9 MB) with weight 22045669 (91.02/col)
Sat Dec 13 20:40:35 2014  sparse part has weight 16193826 (66.86/col)
Sat Dec 13 20:40:35 2014  saving the first 48 matrix rows for later
Sat Dec 13 20:40:35 2014  matrix includes 64 packed rows
Sat Dec 13 20:40:35 2014  matrix is 241972 x 242196 (68.2 MB) with weight 17337801 (71.59/col)
Sat Dec 13 20:40:35 2014  sparse part has weight 15445827 (63.77/col)
Sat Dec 13 20:40:35 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 13 20:40:36 2014  commencing Lanczos iteration (8 threads)
Sat Dec 13 20:40:36 2014  memory use: 64.7 MB
Sat Dec 13 20:40:41 2014  linear algebra at 5.0%, ETA 0h 1m
Sat Dec 13 20:42:27 2014  lanczos halted after 3828 iterations (dim = 241970)
Sat Dec 13 20:42:27 2014  recovered 37 nontrivial dependencies
Sat Dec 13 20:42:27 2014  BLanczosTime: 125
Sat Dec 13 20:42:27 2014  
Sat Dec 13 20:42:27 2014  commencing square root phase
Sat Dec 13 20:42:27 2014  reading relations for dependency 1
Sat Dec 13 20:42:27 2014  read 121250 cycles
Sat Dec 13 20:42:28 2014  cycles contain 375714 unique relations
Sat Dec 13 20:42:31 2014  read 375714 relations
Sat Dec 13 20:42:32 2014  multiplying 375714 relations
Sat Dec 13 20:42:37 2014  multiply complete, coefficients have about 9.65 million bits
Sat Dec 13 20:42:37 2014  initial square root is modulo 353471
Sat Dec 13 20:42:44 2014  sqrtTime: 17
--
n: 443799053594561054306728045006089937841291780159079432371548582834453877248853139742899056241007128734429
m: 10000000000000000000000000000
deg: 5
c5: 154
c0: -1
skew: 0.37
# Murphy_E = 3.452e-09
type: snfs
lss: 1
rlim: 1640000
alim: 1640000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
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
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6273 / 2077Pierre JammesDecember 9, 2014 20:54:30 UTC 2014 年 12 月 10 日 (水) 5 時 54 分 30 秒 (日本時間)
4511e670 / 4415Pierre JammesDecember 10, 2014 13:14:18 UTC 2014 年 12 月 10 日 (水) 22 時 14 分 18 秒 (日本時間)

154×10143-19

c124

name 名前Serge Batalov
date 日付December 10, 2014 20:19:57 UTC 2014 年 12 月 11 日 (木) 5 時 19 分 57 秒 (日本時間)
composite number 合成数
6480178183819311923476838524969450305561856208404948158543283010577469726285700097224793653438671997863877558379383354178821<124>
prime factors 素因数
13112396406681475789050569051437<32>
325678477865377374055339539436849871<36>
1517454989653037915525418958504669665816949915583137071223<58>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1126935085
Step 1 took 7572ms
Step 2 took 6353ms
********** Factor found in step 2: 325678477865377374055339539436849871
Found probable prime factor of 36 digits: 325678477865377374055339539436849871
--
Input number is 6480178183819311923476838524969450305561856208404948158543283010577469726285700097224793653438671997863877558379383354178821 (124 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3757566776
Step 1 took 9092ms
Step 2 took 7758ms
********** Factor found in step 2: 13112396406681475789050569051437
Found probable prime factor of 32 digits: 13112396406681475789050569051437

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:48:51 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 51 秒 (日本時間)

154×10146-19

c123

name 名前Dmitry Domanov
date 日付December 15, 2014 09:12:49 UTC 2014 年 12 月 15 日 (月) 18 時 12 分 49 秒 (日本時間)
composite number 合成数
134633889947405896227007426099097307698811946062846556479706748453030415847789433038568932713184388478751447120627025542603<123>
prime factors 素因数
111745464147506422644793053749630234945371628051594524139903<60>
1204826441721932067871229092969408259604059873182441879952830901<64>
factorization results 素因数分解の結果
N=134633889947405896227007426099097307698811946062846556479706748453030415847789433038568932713184388478751447120627025542603
  ( 123 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=111745464147506422644793053749630234945371628051594524139903 (pp60)
 r2=1204826441721932067871229092969408259604059873182441879952830901 (pp64)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 8.12 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 134633889947405896227007426099097307698811946062846556479706748453030415847789433038568932713184388478751447120627025542603
m: 100000000000000000000000000000
deg: 5
c5: 1540
c0: -1
skew: 0.23
# Murphy_E = 1.645e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3

Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 365691 x 365916
Total sieving time: 7.88 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,148.000,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 8.12 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:48:51 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 51 秒 (日本時間)

154×10150-19

c152

name 名前Erik Branger
date 日付December 8, 2014 20:26:48 UTC 2014 年 12 月 9 日 (火) 5 時 26 分 48 秒 (日本時間)
composite number 合成数
17111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<152>
prime factors 素因数
7893162166103485341379687440858621784175670383034509<52>
2167839802480344918469645239597176722178967028378345104593205475975141969062987297017036714922326179<100>
factorization results 素因数分解の結果
Number: 17111_150
N = 17111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (152 digits)
SNFS difficulty: 153 digits.
Divisors found:
r1=7893162166103485341379687440858621784175670383034509 (pp52)
r2=2167839802480344918469645239597176722178967028378345104593205475975141969062987297017036714922326179 (pp100)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 4.52 hours.
Factorization parameters were as follows:
n: 17111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 1000000000000000000000000000000
deg: 5
c5: 154
c0: -1
skew: 0.37
# Murphy_E = 1.45e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 7955412
Relations: 618008 relations
Pruned matrix : 359846 x 360071
Polynomial selection time: 0.00 hours.
Total sieving time: 4.39 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.08 hours.
time per square root: 0.01 hours.
Prototype def-par.txt line would be: snfs,153,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 4.52 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 KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 8, 2014 19:27:20 UTC 2014 年 12 月 9 日 (火) 4 時 27 分 20 秒 (日本時間)

154×10152-19

c147

name 名前Serge Batalov
date 日付December 10, 2014 22:41:07 UTC 2014 年 12 月 11 日 (木) 7 時 41 分 7 秒 (日本時間)
composite number 合成数
708262167932547318696497749358988244733645364210252499602062441036599631492113845692945078730008667933168197869685372008494914838602918840376149759<147>
prime factors 素因数
1294366305768237390937611333283<31>
3538341291113398747128310571727818003<37>
154645442221756177328277530024715394357231453222000097375765354459014665680965591<81>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=765247126
Step 1 took 8504ms
Step 2 took 6832ms
********** Factor found in step 2: 1294366305768237390937611333283
Found probable prime factor of 31 digits: 1294366305768237390937611333283
--
Input number is 708262167932547318696497749358988244733645364210252499602062441036599631492113845692945078730008667933168197869685372008494914838602918840376149759 (147 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2533925346
Step 1 took 8520ms
Step 2 took 1637ms
********** Factor found in step 2: 3538341291113398747128310571727818003
Found probable prime factor of 37 digits: 3538341291113398747128310571727818003

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:48:51 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 51 秒 (日本時間)

154×10153-19

c115

name 名前Cyp
date 日付December 20, 2014 01:23:00 UTC 2014 年 12 月 20 日 (土) 10 時 23 分 0 秒 (日本時間)
composite number 合成数
4050613824278109112150566929070512765127248429357887368413388339569994430444181038925016095135819749965856280237609<115>
prime factors 素因数
125738623293423179734506682694120127358731385602305333753<57>
32214555227200252412916876798250267030124222279680195307953<59>
factorization results 素因数分解の結果
12/19/14 22:30:49 v1.34.3, 
12/19/14 22:30:49 v1.34.3, ****************************
12/19/14 22:30:49 v1.34.3, Starting factorization of 4050613824278109112150566929070512765127248429357887368413388339569994430444181038925016095135819749965856280237609
12/19/14 22:30:49 v1.34.3, using pretesting plan: none
12/19/14 22:30:49 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/19/14 22:30:49 v1.34.3, ****************************
12/19/14 22:30:49 v1.34.3, nfs: commencing nfs on c115: 4050613824278109112150566929070512765127248429357887368413388339569994430444181038925016095135819749965856280237609
12/19/14 22:30:49 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/19/14 22:30:49 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/19/14 22:31:37 v1.34.3, nfs: commencing lattice sieving with 8 threads
[149 lines snipped]
12/20/14 01:59:53 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 02:01:38 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 02:03:55 v1.34.3, nfs: commencing msieve filtering
12/20/14 02:08:38 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 02:19:15 v1.34.3, nfs: commencing msieve sqrt
12/20/14 02:22:59 v1.34.3, prp59 = 32214555227200252412916876798250267030124222279680195307953
12/20/14 02:22:59 v1.34.3, prp57 = 125738623293423179734506682694120127358731385602305333753
12/20/14 02:22:59 v1.34.3, NFS elapsed time = 13930.2029 seconds.
12/20/14 02:22:59 v1.34.3, 
12/20/14 02:22:59 v1.34.3, 
12/20/14 02:22:59 v1.34.3, Total factoring time = 13930.2037 seconds
--
Sat Dec 20 02:03:55 2014  
Sat Dec 20 02:03:55 2014  commencing relation filtering
Sat Dec 20 02:03:55 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 02:03:55 2014  commencing duplicate removal, pass 1
Sat Dec 20 02:05:11 2014  found 1645610 hash collisions in 10054132 relations
Sat Dec 20 02:05:27 2014  added 356698 free relations
Sat Dec 20 02:05:27 2014  commencing duplicate removal, pass 2
Sat Dec 20 02:05:42 2014  found 1314887 duplicates and 9095943 unique relations
Sat Dec 20 02:05:42 2014  memory use: 41.3 MB
Sat Dec 20 02:05:42 2014  reading ideals above 100000
Sat Dec 20 02:05:42 2014  commencing singleton removal, initial pass
Sat Dec 20 02:07:30 2014  memory use: 188.2 MB
Sat Dec 20 02:07:30 2014  reading all ideals from disk
Sat Dec 20 02:07:31 2014  memory use: 306.6 MB
Sat Dec 20 02:07:32 2014  keeping 9520568 ideals with weight <= 200, target excess is 46074
Sat Dec 20 02:07:34 2014  commencing in-memory singleton removal
Sat Dec 20 02:07:35 2014  begin with 9095943 relations and 9520568 unique ideals
Sat Dec 20 02:07:48 2014  reduce to 4157109 relations and 3412075 ideals in 14 passes
Sat Dec 20 02:07:48 2014  max relations containing the same ideal: 119
Sat Dec 20 02:07:52 2014  removing 1195027 relations and 849233 ideals in 345794 cliques
Sat Dec 20 02:07:53 2014  commencing in-memory singleton removal
Sat Dec 20 02:07:53 2014  begin with 2962082 relations and 3412075 unique ideals
Sat Dec 20 02:07:57 2014  reduce to 2727950 relations and 2304265 ideals in 9 passes
Sat Dec 20 02:07:57 2014  max relations containing the same ideal: 90
Sat Dec 20 02:08:00 2014  removing 997052 relations and 651258 ideals in 345794 cliques
Sat Dec 20 02:08:00 2014  commencing in-memory singleton removal
Sat Dec 20 02:08:00 2014  begin with 1730898 relations and 2304265 unique ideals
Sat Dec 20 02:08:03 2014  reduce to 1525782 relations and 1421241 ideals in 10 passes
Sat Dec 20 02:08:03 2014  max relations containing the same ideal: 59
Sat Dec 20 02:08:04 2014  removing 213867 relations and 162772 ideals in 51095 cliques
Sat Dec 20 02:08:04 2014  commencing in-memory singleton removal
Sat Dec 20 02:08:04 2014  begin with 1311915 relations and 1421241 unique ideals
Sat Dec 20 02:08:05 2014  reduce to 1289424 relations and 1235160 ideals in 6 passes
Sat Dec 20 02:08:05 2014  max relations containing the same ideal: 54
Sat Dec 20 02:08:07 2014  relations with 0 large ideals: 1054
Sat Dec 20 02:08:07 2014  relations with 1 large ideals: 747
Sat Dec 20 02:08:07 2014  relations with 2 large ideals: 10583
Sat Dec 20 02:08:07 2014  relations with 3 large ideals: 65154
Sat Dec 20 02:08:07 2014  relations with 4 large ideals: 202100
Sat Dec 20 02:08:07 2014  relations with 5 large ideals: 350845
Sat Dec 20 02:08:07 2014  relations with 6 large ideals: 364778
Sat Dec 20 02:08:07 2014  relations with 7+ large ideals: 294163
Sat Dec 20 02:08:07 2014  commencing 2-way merge
Sat Dec 20 02:08:08 2014  reduce to 810275 relation sets and 756011 unique ideals
Sat Dec 20 02:08:08 2014  commencing full merge
Sat Dec 20 02:08:28 2014  memory use: 96.9 MB
Sat Dec 20 02:08:28 2014  found 419960 cycles, need 412211
Sat Dec 20 02:08:28 2014  weight of 412211 cycles is about 29035209 (70.44/cycle)
Sat Dec 20 02:08:28 2014  distribution of cycle lengths:
Sat Dec 20 02:08:28 2014  1 relations: 28866
Sat Dec 20 02:08:28 2014  2 relations: 39029
Sat Dec 20 02:08:28 2014  3 relations: 44222
Sat Dec 20 02:08:28 2014  4 relations: 44309
Sat Dec 20 02:08:28 2014  5 relations: 43199
Sat Dec 20 02:08:28 2014  6 relations: 39816
Sat Dec 20 02:08:28 2014  7 relations: 36145
Sat Dec 20 02:08:28 2014  8 relations: 30983
Sat Dec 20 02:08:28 2014  9 relations: 25829
Sat Dec 20 02:08:28 2014  10+ relations: 79813
Sat Dec 20 02:08:28 2014  heaviest cycle: 20 relations
Sat Dec 20 02:08:29 2014  commencing cycle optimization
Sat Dec 20 02:08:30 2014  start with 2574240 relations
Sat Dec 20 02:08:37 2014  pruned 77942 relations
Sat Dec 20 02:08:37 2014  memory use: 79.5 MB
Sat Dec 20 02:08:37 2014  distribution of cycle lengths:
Sat Dec 20 02:08:37 2014  1 relations: 28866
Sat Dec 20 02:08:37 2014  2 relations: 39880
Sat Dec 20 02:08:37 2014  3 relations: 45867
Sat Dec 20 02:08:37 2014  4 relations: 45772
Sat Dec 20 02:08:37 2014  5 relations: 44774
Sat Dec 20 02:08:37 2014  6 relations: 41127
Sat Dec 20 02:08:37 2014  7 relations: 37107
Sat Dec 20 02:08:37 2014  8 relations: 31553
Sat Dec 20 02:08:37 2014  9 relations: 25784
Sat Dec 20 02:08:37 2014  10+ relations: 71481
Sat Dec 20 02:08:37 2014  heaviest cycle: 19 relations
Sat Dec 20 02:08:38 2014  RelProcTime: 283
Sat Dec 20 02:08:38 2014  
Sat Dec 20 02:08:38 2014  commencing linear algebra
Sat Dec 20 02:08:38 2014  read 412211 cycles
Sat Dec 20 02:08:39 2014  cycles contain 1253591 unique relations
Sat Dec 20 02:08:58 2014  read 1253591 relations
Sat Dec 20 02:08:59 2014  using 20 quadratic characters above 134215058
Sat Dec 20 02:09:04 2014  building initial matrix
Sat Dec 20 02:09:12 2014  memory use: 153.9 MB
Sat Dec 20 02:09:12 2014  read 412211 cycles
Sat Dec 20 02:09:12 2014  matrix is 412034 x 412211 (123.1 MB) with weight 36814245 (89.31/col)
Sat Dec 20 02:09:12 2014  sparse part has weight 27730498 (67.27/col)
Sat Dec 20 02:09:14 2014  filtering completed in 2 passes
Sat Dec 20 02:09:14 2014  matrix is 411935 x 412112 (123.1 MB) with weight 36810827 (89.32/col)
Sat Dec 20 02:09:14 2014  sparse part has weight 27729279 (67.29/col)
Sat Dec 20 02:09:15 2014  matrix starts at (0, 0)
Sat Dec 20 02:09:15 2014  matrix is 411935 x 412112 (123.1 MB) with weight 36810827 (89.32/col)
Sat Dec 20 02:09:15 2014  sparse part has weight 27729279 (67.29/col)
Sat Dec 20 02:09:15 2014  saving the first 48 matrix rows for later
Sat Dec 20 02:09:15 2014  matrix includes 64 packed rows
Sat Dec 20 02:09:15 2014  matrix is 411887 x 412112 (116.3 MB) with weight 29124449 (70.67/col)
Sat Dec 20 02:09:15 2014  sparse part has weight 26372100 (63.99/col)
Sat Dec 20 02:09:15 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 20 02:09:16 2014  commencing Lanczos iteration (8 threads)
Sat Dec 20 02:09:16 2014  memory use: 111.6 MB
Sat Dec 20 02:09:25 2014  linear algebra at 2.9%, ETA 0h 4m
Sat Dec 20 02:19:14 2014  lanczos halted after 6515 iterations (dim = 411882)
Sat Dec 20 02:19:15 2014  recovered 36 nontrivial dependencies
Sat Dec 20 02:19:15 2014  BLanczosTime: 637
Sat Dec 20 02:19:15 2014  
Sat Dec 20 02:19:15 2014  commencing square root phase
Sat Dec 20 02:19:15 2014  reading relations for dependency 1
Sat Dec 20 02:19:15 2014  read 206360 cycles
Sat Dec 20 02:19:15 2014  cycles contain 626364 unique relations
Sat Dec 20 02:19:28 2014  read 626364 relations
Sat Dec 20 02:19:30 2014  multiplying 626364 relations
Sat Dec 20 02:20:00 2014  multiply complete, coefficients have about 22.55 million bits
Sat Dec 20 02:20:00 2014  initial square root is modulo 2990371
Sat Dec 20 02:20:49 2014  GCD is 1, no factor found
Sat Dec 20 02:20:49 2014  reading relations for dependency 2
Sat Dec 20 02:20:49 2014  read 205830 cycles
Sat Dec 20 02:20:49 2014  cycles contain 626124 unique relations
Sat Dec 20 02:21:11 2014  read 626124 relations
Sat Dec 20 02:21:15 2014  multiplying 626124 relations
Sat Dec 20 02:22:01 2014  multiply complete, coefficients have about 22.54 million bits
Sat Dec 20 02:22:01 2014  initial square root is modulo 2975741
Sat Dec 20 02:22:59 2014  sqrtTime: 224
--
n: 4050613824278109112150566929070512765127248429357887368413388339569994430444181038925016095135819749965856280237609
m: 1000000000000000000000000000000
deg: 5
c5: 154000
c0: -1
skew: 0.09
# Murphy_E = 7.959e-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
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6580 / 2318280Pierre JammesDecember 10, 2014 16:53:08 UTC 2014 年 12 月 11 日 (木) 1 時 53 分 8 秒 (日本時間)
300Serge BatalovDecember 10, 2014 19:48:52 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 52 秒 (日本時間)

154×10155-19

c128

name 名前Cyp
date 日付December 18, 2014 23:22:34 UTC 2014 年 12 月 19 日 (金) 8 時 22 分 34 秒 (日本時間)
composite number 合成数
22525008151005452669632949415256459088551572113317747710730341277549057439822580042774037186221179153547332926154817907442480387<128>
prime factors 素因数
14466522924739147352497695308132135196905654264591083<53>
1557043684110541831316382228767768369753663082631158273414273587832481878089<76>
factorization results 素因数分解の結果
12/18/14 22:14:34 v1.34.3, 
12/18/14 22:14:34 v1.34.3, ****************************
12/18/14 22:14:34 v1.34.3, Starting factorization of 22525008151005452669632949415256459088551572113317747710730341277549057439822580042774037186221179153547332926154817907442480387
12/18/14 22:14:34 v1.34.3, using pretesting plan: none
12/18/14 22:14:34 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/18/14 22:14:34 v1.34.3, ****************************
12/18/14 22:14:34 v1.34.3, nfs: commencing nfs on c128: 22525008151005452669632949415256459088551572113317747710730341277549057439822580042774037186221179153547332926154817907442480387
12/18/14 22:14:34 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/18/14 22:14:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/18/14 22:15:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
[116 lines snipped]
12/19/14 00:14:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/19/14 00:15:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/19/14 00:16:03 v1.34.3, nfs: commencing msieve filtering
12/19/14 00:17:43 v1.34.3, nfs: commencing msieve linear algebra
12/19/14 00:22:01 v1.34.3, nfs: commencing msieve sqrt
12/19/14 00:22:33 v1.34.3, prp76 = 1557043684110541831316382228767768369753663082631158273414273587832481878089
12/19/14 00:22:33 v1.34.3, prp53 = 14466522924739147352497695308132135196905654264591083
12/19/14 00:22:33 v1.34.3, NFS elapsed time = 7678.3121 seconds.
12/19/14 00:22:33 v1.34.3, 
12/19/14 00:22:33 v1.34.3, 
12/19/14 00:22:33 v1.34.3, Total factoring time = 7678.3126 seconds
--
Fri Dec 19 00:16:03 2014  
Fri Dec 19 00:16:03 2014  commencing relation filtering
Fri Dec 19 00:16:03 2014  estimated available RAM is 15987.3 MB
Fri Dec 19 00:16:03 2014  commencing duplicate removal, pass 1
Fri Dec 19 00:16:30 2014  found 1547820 hash collisions in 10058232 relations
Fri Dec 19 00:16:38 2014  added 355657 free relations
Fri Dec 19 00:16:38 2014  commencing duplicate removal, pass 2
Fri Dec 19 00:16:45 2014  found 1177909 duplicates and 9235980 unique relations
Fri Dec 19 00:16:45 2014  memory use: 41.3 MB
Fri Dec 19 00:16:45 2014  reading ideals above 100000
Fri Dec 19 00:16:45 2014  commencing singleton removal, initial pass
Fri Dec 19 00:17:24 2014  memory use: 188.2 MB
Fri Dec 19 00:17:24 2014  reading all ideals from disk
Fri Dec 19 00:17:24 2014  memory use: 311.8 MB
Fri Dec 19 00:17:24 2014  keeping 9580733 ideals with weight <= 200, target excess is 46483
Fri Dec 19 00:17:25 2014  commencing in-memory singleton removal
Fri Dec 19 00:17:25 2014  begin with 9235980 relations and 9580733 unique ideals
Fri Dec 19 00:17:27 2014  reduce to 4308080 relations and 3502080 ideals in 12 passes
Fri Dec 19 00:17:27 2014  max relations containing the same ideal: 122
Fri Dec 19 00:17:28 2014  removing 1261871 relations and 885831 ideals in 376040 cliques
Fri Dec 19 00:17:29 2014  commencing in-memory singleton removal
Fri Dec 19 00:17:29 2014  begin with 3046209 relations and 3502080 unique ideals
Fri Dec 19 00:17:30 2014  reduce to 2801395 relations and 2345075 ideals in 9 passes
Fri Dec 19 00:17:30 2014  max relations containing the same ideal: 90
Fri Dec 19 00:17:30 2014  removing 1058949 relations and 682909 ideals in 376040 cliques
Fri Dec 19 00:17:30 2014  commencing in-memory singleton removal
Fri Dec 19 00:17:31 2014  begin with 1742446 relations and 2345075 unique ideals
Fri Dec 19 00:17:31 2014  reduce to 1523797 relations and 1413854 ideals in 9 passes
Fri Dec 19 00:17:31 2014  max relations containing the same ideal: 61
Fri Dec 19 00:17:31 2014  removing 228886 relations and 172864 ideals in 56022 cliques
Fri Dec 19 00:17:31 2014  commencing in-memory singleton removal
Fri Dec 19 00:17:31 2014  begin with 1294911 relations and 1413854 unique ideals
Fri Dec 19 00:17:32 2014  reduce to 1267222 relations and 1212253 ideals in 8 passes
Fri Dec 19 00:17:32 2014  max relations containing the same ideal: 53
Fri Dec 19 00:17:32 2014  relations with 0 large ideals: 1068
Fri Dec 19 00:17:32 2014  relations with 1 large ideals: 707
Fri Dec 19 00:17:32 2014  relations with 2 large ideals: 10530
Fri Dec 19 00:17:32 2014  relations with 3 large ideals: 64619
Fri Dec 19 00:17:32 2014  relations with 4 large ideals: 198872
Fri Dec 19 00:17:32 2014  relations with 5 large ideals: 344585
Fri Dec 19 00:17:32 2014  relations with 6 large ideals: 359478
Fri Dec 19 00:17:32 2014  relations with 7+ large ideals: 287363
Fri Dec 19 00:17:32 2014  commencing 2-way merge
Fri Dec 19 00:17:32 2014  reduce to 795371 relation sets and 740402 unique ideals
Fri Dec 19 00:17:32 2014  commencing full merge
Fri Dec 19 00:17:40 2014  memory use: 95.6 MB
Fri Dec 19 00:17:40 2014  found 408544 cycles, need 400602
Fri Dec 19 00:17:40 2014  weight of 400602 cycles is about 28354644 (70.78/cycle)
Fri Dec 19 00:17:40 2014  distribution of cycle lengths:
Fri Dec 19 00:17:40 2014  1 relations: 28126
Fri Dec 19 00:17:40 2014  2 relations: 37864
Fri Dec 19 00:17:40 2014  3 relations: 42172
Fri Dec 19 00:17:40 2014  4 relations: 41864
Fri Dec 19 00:17:40 2014  5 relations: 41141
Fri Dec 19 00:17:40 2014  6 relations: 38158
Fri Dec 19 00:17:40 2014  7 relations: 34419
Fri Dec 19 00:17:40 2014  8 relations: 29798
Fri Dec 19 00:17:40 2014  9 relations: 25270
Fri Dec 19 00:17:40 2014  10+ relations: 81790
Fri Dec 19 00:17:40 2014  heaviest cycle: 20 relations
Fri Dec 19 00:17:40 2014  commencing cycle optimization
Fri Dec 19 00:17:40 2014  start with 2542504 relations
Fri Dec 19 00:17:43 2014  pruned 80076 relations
Fri Dec 19 00:17:43 2014  memory use: 78.1 MB
Fri Dec 19 00:17:43 2014  distribution of cycle lengths:
Fri Dec 19 00:17:43 2014  1 relations: 28126
Fri Dec 19 00:17:43 2014  2 relations: 38685
Fri Dec 19 00:17:43 2014  3 relations: 43735
Fri Dec 19 00:17:43 2014  4 relations: 43294
Fri Dec 19 00:17:43 2014  5 relations: 42832
Fri Dec 19 00:17:43 2014  6 relations: 39289
Fri Dec 19 00:17:43 2014  7 relations: 35458
Fri Dec 19 00:17:43 2014  8 relations: 30421
Fri Dec 19 00:17:43 2014  9 relations: 25438
Fri Dec 19 00:17:43 2014  10+ relations: 73324
Fri Dec 19 00:17:43 2014  heaviest cycle: 20 relations
Fri Dec 19 00:17:43 2014  RelProcTime: 100
Fri Dec 19 00:17:43 2014  
Fri Dec 19 00:17:43 2014  commencing linear algebra
Fri Dec 19 00:17:43 2014  read 400602 cycles
Fri Dec 19 00:17:43 2014  cycles contain 1229510 unique relations
Fri Dec 19 00:17:52 2014  read 1229510 relations
Fri Dec 19 00:17:53 2014  using 20 quadratic characters above 134216168
Fri Dec 19 00:17:56 2014  building initial matrix
Fri Dec 19 00:18:03 2014  memory use: 152.8 MB
Fri Dec 19 00:18:03 2014  read 400602 cycles
Fri Dec 19 00:18:03 2014  matrix is 400423 x 400602 (119.9 MB) with weight 36516387 (91.15/col)
Fri Dec 19 00:18:03 2014  sparse part has weight 27037469 (67.49/col)
Fri Dec 19 00:18:05 2014  filtering completed in 2 passes
Fri Dec 19 00:18:05 2014  matrix is 400321 x 400500 (119.9 MB) with weight 36512272 (91.17/col)
Fri Dec 19 00:18:05 2014  sparse part has weight 27035670 (67.50/col)
Fri Dec 19 00:18:05 2014  matrix starts at (0, 0)
Fri Dec 19 00:18:05 2014  matrix is 400321 x 400500 (119.9 MB) with weight 36512272 (91.17/col)
Fri Dec 19 00:18:05 2014  sparse part has weight 27035670 (67.50/col)
Fri Dec 19 00:18:05 2014  saving the first 48 matrix rows for later
Fri Dec 19 00:18:05 2014  matrix includes 64 packed rows
Fri Dec 19 00:18:05 2014  matrix is 400273 x 400500 (114.0 MB) with weight 28818620 (71.96/col)
Fri Dec 19 00:18:05 2014  sparse part has weight 25870382 (64.60/col)
Fri Dec 19 00:18:05 2014  using block size 65536 for processor cache size 8192 kB
Fri Dec 19 00:18:06 2014  commencing Lanczos iteration (8 threads)
Fri Dec 19 00:18:06 2014  memory use: 109.4 MB
Fri Dec 19 00:18:13 2014  linear algebra at 3.0%, ETA 0h 3m
Fri Dec 19 00:22:00 2014  lanczos halted after 6330 iterations (dim = 400267)
Fri Dec 19 00:22:01 2014  recovered 33 nontrivial dependencies
Fri Dec 19 00:22:01 2014  BLanczosTime: 258
Fri Dec 19 00:22:01 2014  
Fri Dec 19 00:22:01 2014  commencing square root phase
Fri Dec 19 00:22:01 2014  reading relations for dependency 1
Fri Dec 19 00:22:01 2014  read 200667 cycles
Fri Dec 19 00:22:01 2014  cycles contain 615352 unique relations
Fri Dec 19 00:22:08 2014  read 615352 relations
Fri Dec 19 00:22:09 2014  multiplying 615352 relations
Fri Dec 19 00:22:19 2014  multiply complete, coefficients have about 16.62 million bits
Fri Dec 19 00:22:19 2014  initial square root is modulo 59611
Fri Dec 19 00:22:33 2014  sqrtTime: 32
--
n: 22525008151005452669632949415256459088551572113317747710730341277549057439822580042774037186221179153547332926154817907442480387
m: 10000000000000000000000000000000
deg: 5
c5: 154
c0: -1
skew: 0.37
# Murphy_E = 9.329e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
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 KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:48:52 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 52 秒 (日本時間)

154×10157-19

c151

name 名前Cyp
date 日付December 15, 2014 04:36:02 UTC 2014 年 12 月 15 日 (月) 13 時 36 分 2 秒 (日本時間)
composite number 合成数
1456450544131200046010218436211188154791378463831051464505614099996832030917093324159662059288456742232399558155652679811263340551454942692231826293547<151>
prime factors 素因数
8167178934038349320544691496307872301409212747581581<52>
178329696936251944654623189785579547587106080666085877283491609889133669801208104622361523029416087<99>
factorization results 素因数分解の結果
12/15/14 02:09:53 v1.34.3, 
12/15/14 02:09:53 v1.34.3, ****************************
12/15/14 02:09:53 v1.34.3, Starting factorization of 1456450544131200046010218436211188154791378463831051464505614099996832030917093324159662059288456742232399558155652679811263340551454942692231826293547
12/15/14 02:09:53 v1.34.3, using pretesting plan: none
12/15/14 02:09:53 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/15/14 02:09:53 v1.34.3, ****************************
12/15/14 02:09:53 v1.34.3, nfs: commencing nfs on c151: 1456450544131200046010218436211188154791378463831051464505614099996832030917093324159662059288456742232399558155652679811263340551454942692231826293547
12/15/14 02:09:53 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/15/14 02:09:53 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/15/14 02:14:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
[43 lines snipped]
12/15/14 05:19:35 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/15/14 05:23:49 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/15/14 05:28:05 v1.34.3, nfs: commencing msieve filtering
12/15/14 05:29:51 v1.34.3, nfs: commencing msieve linear algebra
12/15/14 05:35:19 v1.34.3, nfs: commencing msieve sqrt
12/15/14 05:36:01 v1.34.3, prp99 = 178329696936251944654623189785579547587106080666085877283491609889133669801208104622361523029416087
12/15/14 05:36:01 v1.34.3, prp52 = 8167178934038349320544691496307872301409212747581581
12/15/14 05:36:01 v1.34.3, NFS elapsed time = 12367.9047 seconds.
12/15/14 05:36:01 v1.34.3, 
12/15/14 05:36:01 v1.34.3, 
12/15/14 05:36:01 v1.34.3, Total factoring time = 12367.9060 seconds
--
Mon Dec 15 05:28:05 2014  
Mon Dec 15 05:28:05 2014  commencing relation filtering
Mon Dec 15 05:28:05 2014  estimated available RAM is 15987.3 MB
Mon Dec 15 05:28:05 2014  commencing duplicate removal, pass 1
Mon Dec 15 05:28:32 2014  found 1425603 hash collisions in 10136236 relations
Mon Dec 15 05:28:41 2014  added 357831 free relations
Mon Dec 15 05:28:41 2014  commencing duplicate removal, pass 2
Mon Dec 15 05:28:49 2014  found 996418 duplicates and 9497649 unique relations
Mon Dec 15 05:28:49 2014  memory use: 41.3 MB
Mon Dec 15 05:28:49 2014  reading ideals above 100000
Mon Dec 15 05:28:49 2014  commencing singleton removal, initial pass
Mon Dec 15 05:29:30 2014  memory use: 188.2 MB
Mon Dec 15 05:29:30 2014  reading all ideals from disk
Mon Dec 15 05:29:30 2014  memory use: 333.0 MB
Mon Dec 15 05:29:30 2014  keeping 9759692 ideals with weight <= 200, target excess is 51054
Mon Dec 15 05:29:31 2014  commencing in-memory singleton removal
Mon Dec 15 05:29:31 2014  begin with 9497649 relations and 9759692 unique ideals
Mon Dec 15 05:29:34 2014  reduce to 4574912 relations and 3728380 ideals in 12 passes
Mon Dec 15 05:29:34 2014  max relations containing the same ideal: 125
Mon Dec 15 05:29:35 2014  removing 1303735 relations and 910080 ideals in 393655 cliques
Mon Dec 15 05:29:35 2014  commencing in-memory singleton removal
Mon Dec 15 05:29:35 2014  begin with 3271177 relations and 3728380 unique ideals
Mon Dec 15 05:29:36 2014  reduce to 3023830 relations and 2545324 ideals in 9 passes
Mon Dec 15 05:29:36 2014  max relations containing the same ideal: 92
Mon Dec 15 05:29:37 2014  removing 1104621 relations and 710966 ideals in 393655 cliques
Mon Dec 15 05:29:37 2014  commencing in-memory singleton removal
Mon Dec 15 05:29:37 2014  begin with 1919209 relations and 2545324 unique ideals
Mon Dec 15 05:29:38 2014  reduce to 1688632 relations and 1574093 ideals in 9 passes
Mon Dec 15 05:29:38 2014  max relations containing the same ideal: 64
Mon Dec 15 05:29:38 2014  removing 234708 relations and 179392 ideals in 55316 cliques
Mon Dec 15 05:29:38 2014  commencing in-memory singleton removal
Mon Dec 15 05:29:38 2014  begin with 1453924 relations and 1574093 unique ideals
Mon Dec 15 05:29:39 2014  reduce to 1426096 relations and 1365897 ideals in 8 passes
Mon Dec 15 05:29:39 2014  max relations containing the same ideal: 56
Mon Dec 15 05:29:39 2014  relations with 0 large ideals: 1126
Mon Dec 15 05:29:39 2014  relations with 1 large ideals: 497
Mon Dec 15 05:29:39 2014  relations with 2 large ideals: 7864
Mon Dec 15 05:29:39 2014  relations with 3 large ideals: 53982
Mon Dec 15 05:29:39 2014  relations with 4 large ideals: 185039
Mon Dec 15 05:29:39 2014  relations with 5 large ideals: 354735
Mon Dec 15 05:29:39 2014  relations with 6 large ideals: 415105
Mon Dec 15 05:29:39 2014  relations with 7+ large ideals: 407748
Mon Dec 15 05:29:39 2014  commencing 2-way merge
Mon Dec 15 05:29:40 2014  reduce to 887318 relation sets and 827119 unique ideals
Mon Dec 15 05:29:40 2014  commencing full merge
Mon Dec 15 05:29:48 2014  memory use: 107.9 MB
Mon Dec 15 05:29:48 2014  found 458003 cycles, need 449319
Mon Dec 15 05:29:48 2014  weight of 449319 cycles is about 31605434 (70.34/cycle)
Mon Dec 15 05:29:48 2014  distribution of cycle lengths:
Mon Dec 15 05:29:48 2014  1 relations: 39898
Mon Dec 15 05:29:48 2014  2 relations: 44076
Mon Dec 15 05:29:48 2014  3 relations: 47956
Mon Dec 15 05:29:48 2014  4 relations: 47681
Mon Dec 15 05:29:48 2014  5 relations: 46422
Mon Dec 15 05:29:48 2014  6 relations: 43101
Mon Dec 15 05:29:48 2014  7 relations: 38488
Mon Dec 15 05:29:48 2014  8 relations: 32772
Mon Dec 15 05:29:48 2014  9 relations: 27455
Mon Dec 15 05:29:48 2014  10+ relations: 81470
Mon Dec 15 05:29:48 2014  heaviest cycle: 19 relations
Mon Dec 15 05:29:48 2014  commencing cycle optimization
Mon Dec 15 05:29:48 2014  start with 2716926 relations
Mon Dec 15 05:29:50 2014  pruned 82361 relations
Mon Dec 15 05:29:50 2014  memory use: 86.0 MB
Mon Dec 15 05:29:50 2014  distribution of cycle lengths:
Mon Dec 15 05:29:50 2014  1 relations: 39898
Mon Dec 15 05:29:50 2014  2 relations: 45017
Mon Dec 15 05:29:50 2014  3 relations: 49724
Mon Dec 15 05:29:50 2014  4 relations: 49263
Mon Dec 15 05:29:50 2014  5 relations: 48137
Mon Dec 15 05:29:50 2014  6 relations: 44519
Mon Dec 15 05:29:50 2014  7 relations: 39688
Mon Dec 15 05:29:50 2014  8 relations: 33180
Mon Dec 15 05:29:50 2014  9 relations: 27427
Mon Dec 15 05:29:50 2014  10+ relations: 72466
Mon Dec 15 05:29:50 2014  heaviest cycle: 19 relations
Mon Dec 15 05:29:51 2014  RelProcTime: 106
Mon Dec 15 05:29:51 2014  
Mon Dec 15 05:29:51 2014  commencing linear algebra
Mon Dec 15 05:29:51 2014  read 449319 cycles
Mon Dec 15 05:29:51 2014  cycles contain 1384654 unique relations
Mon Dec 15 05:30:01 2014  read 1384654 relations
Mon Dec 15 05:30:02 2014  using 20 quadratic characters above 134216228
Mon Dec 15 05:30:06 2014  building initial matrix
Mon Dec 15 05:30:13 2014  memory use: 171.3 MB
Mon Dec 15 05:30:13 2014  read 449319 cycles
Mon Dec 15 05:30:13 2014  matrix is 449141 x 449319 (133.9 MB) with weight 39701164 (88.36/col)
Mon Dec 15 05:30:13 2014  sparse part has weight 30163496 (67.13/col)
Mon Dec 15 05:30:15 2014  filtering completed in 2 passes
Mon Dec 15 05:30:15 2014  matrix is 449022 x 449200 (133.9 MB) with weight 39696186 (88.37/col)
Mon Dec 15 05:30:15 2014  sparse part has weight 30161092 (67.14/col)
Mon Dec 15 05:30:15 2014  matrix starts at (0, 0)
Mon Dec 15 05:30:15 2014  matrix is 449022 x 449200 (133.9 MB) with weight 39696186 (88.37/col)
Mon Dec 15 05:30:15 2014  sparse part has weight 30161092 (67.14/col)
Mon Dec 15 05:30:15 2014  saving the first 48 matrix rows for later
Mon Dec 15 05:30:15 2014  matrix includes 64 packed rows
Mon Dec 15 05:30:16 2014  matrix is 448974 x 449200 (126.2 MB) with weight 31359454 (69.81/col)
Mon Dec 15 05:30:16 2014  sparse part has weight 28596857 (63.66/col)
Mon Dec 15 05:30:16 2014  using block size 65536 for processor cache size 8192 kB
Mon Dec 15 05:30:16 2014  commencing Lanczos iteration (8 threads)
Mon Dec 15 05:30:16 2014  memory use: 122.4 MB
Mon Dec 15 05:30:25 2014  linear algebra at 2.7%, ETA 0h 5m
Mon Dec 15 05:35:19 2014  lanczos halted after 7102 iterations (dim = 448970)
Mon Dec 15 05:35:19 2014  recovered 35 nontrivial dependencies
Mon Dec 15 05:35:19 2014  BLanczosTime: 328
Mon Dec 15 05:35:19 2014  
Mon Dec 15 05:35:19 2014  commencing square root phase
Mon Dec 15 05:35:19 2014  reading relations for dependency 1
Mon Dec 15 05:35:19 2014  read 224811 cycles
Mon Dec 15 05:35:20 2014  cycles contain 691764 unique relations
Mon Dec 15 05:35:27 2014  read 691764 relations
Mon Dec 15 05:35:29 2014  multiplying 691764 relations
Mon Dec 15 05:35:42 2014  multiply complete, coefficients have about 23.45 million bits
Mon Dec 15 05:35:42 2014  initial square root is modulo 5425831
Mon Dec 15 05:36:01 2014  sqrtTime: 42
--
n: 1456450544131200046010218436211188154791378463831051464505614099996832030917093324159662059288456742232399558155652679811263340551454942692231826293547
m: 10000000000000000000000000000000
deg: 5
c5: 15400
c0: -1
skew: 0.15
# Murphy_E = 5.297e-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 KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:48:53 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 53 秒 (日本時間)

154×10158-19

c112

name 名前Cyp
date 日付December 11, 2014 12:03:10 UTC 2014 年 12 月 11 日 (木) 21 時 3 分 10 秒 (日本時間)
composite number 合成数
1533407567602652776757009174923785548588095967883445587249506625218900397408667329344721648859530713762661998369<112>
prime factors 素因数
17397560323621787507887975498300895345887679<44>
88139229816070625657373619531296079143309359993833795092096362254111<68>
factorization results 素因数分解の結果
12/11/14 11:12:57 v1.34.3, 
12/11/14 11:12:57 v1.34.3, ****************************
12/11/14 11:12:57 v1.34.3, Starting factorization of 1533407567602652776757009174923785548588095967883445587249506625218900397408667329344721648859530713762661998369
12/11/14 11:12:57 v1.34.3, using pretesting plan: none
12/11/14 11:12:57 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/11/14 11:12:57 v1.34.3, ****************************
12/11/14 11:12:57 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C112
12/11/14 11:12:57 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C112
12/11/14 11:12:57 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C112
12/11/14 11:12:57 v1.34.3, final ECM pretested depth: 0.00
12/11/14 11:12:57 v1.34.3, scheduler: switching to sieve method
12/11/14 11:12:57 v1.34.3, nfs: commencing nfs on c112: 1533407567602652776757009174923785548588095967883445587249506625218900397408667329344721648859530713762661998369
12/11/14 11:12:57 v1.34.3, nfs: commencing poly selection with 8 threads
12/11/14 11:12:57 v1.34.3, nfs: setting deadline of 575 seconds
12/11/14 11:22:34 v1.34.3, nfs: completed 151 ranges of size 250 in 576.3425 seconds
12/11/14 11:22:34 v1.34.3, nfs: best poly = # norm 1.389226e-10 alpha -6.459398 e 8.306e-10 rroots 5
12/11/14 11:22:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 11:27:28 v1.34.3, nfs: commencing lattice sieving with 8 threads
[10 lines snipped]
12/11/14 12:25:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 12:31:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 12:36:51 v1.34.3, nfs: commencing msieve filtering
12/11/14 12:37:35 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 12:42:54 v1.34.3, nfs: commencing msieve filtering
12/11/14 12:43:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 12:49:07 v1.34.3, nfs: commencing msieve filtering
12/11/14 12:49:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 12:55:35 v1.34.3, nfs: commencing msieve filtering
12/11/14 12:56:41 v1.34.3, nfs: commencing msieve linear algebra
12/11/14 13:01:38 v1.34.3, nfs: commencing msieve sqrt
12/11/14 13:03:08 v1.34.3, prp68 = 88139229816070625657373619531296079143309359993833795092096362254111
12/11/14 13:03:08 v1.34.3, prp44 = 17397560323621787507887975498300895345887679
12/11/14 13:03:08 v1.34.3, NFS elapsed time = 6611.0866 seconds.
12/11/14 13:03:08 v1.34.3, 
12/11/14 13:03:08 v1.34.3, 
12/11/14 13:03:08 v1.34.3, Total factoring time = 6611.1086 seconds
--
Thu Dec 11 12:36:51 2014  
Thu Dec 11 12:36:51 2014  commencing relation filtering
Thu Dec 11 12:36:51 2014  estimated available RAM is 15987.3 MB
Thu Dec 11 12:36:51 2014  commencing duplicate removal, pass 1
Thu Dec 11 12:37:05 2014  found 444272 hash collisions in 4681782 relations
Thu Dec 11 12:37:10 2014  added 32664 free relations
Thu Dec 11 12:37:10 2014  commencing duplicate removal, pass 2
Thu Dec 11 12:37:13 2014  found 193818 duplicates and 4520628 unique relations
Thu Dec 11 12:37:13 2014  memory use: 20.6 MB
Thu Dec 11 12:37:13 2014  reading ideals above 100000
Thu Dec 11 12:37:13 2014  commencing singleton removal, initial pass
Thu Dec 11 12:37:32 2014  memory use: 172.2 MB
Thu Dec 11 12:37:32 2014  reading all ideals from disk
Thu Dec 11 12:37:32 2014  memory use: 152.4 MB
Thu Dec 11 12:37:33 2014  keeping 5459525 ideals with weight <= 200, target excess is 24561
Thu Dec 11 12:37:33 2014  commencing in-memory singleton removal
Thu Dec 11 12:37:33 2014  begin with 4520628 relations and 5459525 unique ideals
Thu Dec 11 12:37:35 2014  reduce to 769121 relations and 932029 ideals in 66 passes
Thu Dec 11 12:37:35 2014  max relations containing the same ideal: 60
Thu Dec 11 12:42:54 2014  
Thu Dec 11 12:42:54 2014  commencing relation filtering
Thu Dec 11 12:42:54 2014  estimated available RAM is 15987.3 MB
Thu Dec 11 12:42:54 2014  commencing duplicate removal, pass 1
Thu Dec 11 12:43:10 2014  found 506913 hash collisions in 5048201 relations
Thu Dec 11 12:43:15 2014  added 66 free relations
Thu Dec 11 12:43:15 2014  commencing duplicate removal, pass 2
Thu Dec 11 12:43:18 2014  found 220393 duplicates and 4827874 unique relations
Thu Dec 11 12:43:18 2014  memory use: 20.6 MB
Thu Dec 11 12:43:18 2014  reading ideals above 100000
Thu Dec 11 12:43:18 2014  commencing singleton removal, initial pass
Thu Dec 11 12:43:39 2014  memory use: 172.2 MB
Thu Dec 11 12:43:39 2014  reading all ideals from disk
Thu Dec 11 12:43:39 2014  memory use: 162.8 MB
Thu Dec 11 12:43:40 2014  keeping 5605622 ideals with weight <= 200, target excess is 25703
Thu Dec 11 12:43:40 2014  commencing in-memory singleton removal
Thu Dec 11 12:43:40 2014  begin with 4827874 relations and 5605622 unique ideals
Thu Dec 11 12:43:42 2014  reduce to 1328587 relations and 1422925 ideals in 28 passes
Thu Dec 11 12:43:42 2014  max relations containing the same ideal: 81
Thu Dec 11 12:49:07 2014  
Thu Dec 11 12:49:07 2014  commencing relation filtering
Thu Dec 11 12:49:07 2014  estimated available RAM is 15987.3 MB
Thu Dec 11 12:49:07 2014  commencing duplicate removal, pass 1
Thu Dec 11 12:49:23 2014  found 569308 hash collisions in 5386390 relations
Thu Dec 11 12:49:28 2014  added 56 free relations
Thu Dec 11 12:49:28 2014  commencing duplicate removal, pass 2
Thu Dec 11 12:49:32 2014  found 248603 duplicates and 5137843 unique relations
Thu Dec 11 12:49:32 2014  memory use: 20.6 MB
Thu Dec 11 12:49:32 2014  reading ideals above 100000
Thu Dec 11 12:49:32 2014  commencing singleton removal, initial pass
Thu Dec 11 12:49:54 2014  memory use: 172.2 MB
Thu Dec 11 12:49:54 2014  reading all ideals from disk
Thu Dec 11 12:49:55 2014  memory use: 173.3 MB
Thu Dec 11 12:49:55 2014  keeping 5742458 ideals with weight <= 200, target excess is 26996
Thu Dec 11 12:49:55 2014  commencing in-memory singleton removal
Thu Dec 11 12:49:55 2014  begin with 5137843 relations and 5742458 unique ideals
Thu Dec 11 12:49:57 2014  reduce to 1785946 relations and 1784474 ideals in 19 passes
Thu Dec 11 12:49:57 2014  max relations containing the same ideal: 104
Thu Dec 11 12:55:35 2014  
Thu Dec 11 12:55:35 2014  commencing relation filtering
Thu Dec 11 12:55:35 2014  estimated available RAM is 15987.3 MB
Thu Dec 11 12:55:35 2014  commencing duplicate removal, pass 1
Thu Dec 11 12:55:52 2014  found 635205 hash collisions in 5724859 relations
Thu Dec 11 12:55:57 2014  added 29 free relations
Thu Dec 11 12:55:57 2014  commencing duplicate removal, pass 2
Thu Dec 11 12:56:02 2014  found 278925 duplicates and 5445963 unique relations
Thu Dec 11 12:56:02 2014  memory use: 20.6 MB
Thu Dec 11 12:56:02 2014  reading ideals above 100000
Thu Dec 11 12:56:02 2014  commencing singleton removal, initial pass
Thu Dec 11 12:56:25 2014  memory use: 172.2 MB
Thu Dec 11 12:56:25 2014  reading all ideals from disk
Thu Dec 11 12:56:25 2014  memory use: 183.8 MB
Thu Dec 11 12:56:25 2014  keeping 5867913 ideals with weight <= 200, target excess is 28522
Thu Dec 11 12:56:25 2014  commencing in-memory singleton removal
Thu Dec 11 12:56:25 2014  begin with 5445963 relations and 5867913 unique ideals
Thu Dec 11 12:56:27 2014  reduce to 2222242 relations and 2104954 ideals in 17 passes
Thu Dec 11 12:56:27 2014  max relations containing the same ideal: 109
Thu Dec 11 12:56:28 2014  removing 349793 relations and 307692 ideals in 42101 cliques
Thu Dec 11 12:56:28 2014  commencing in-memory singleton removal
Thu Dec 11 12:56:28 2014  begin with 1872449 relations and 2104954 unique ideals
Thu Dec 11 12:56:28 2014  reduce to 1824916 relations and 1748512 ideals in 10 passes
Thu Dec 11 12:56:28 2014  max relations containing the same ideal: 96
Thu Dec 11 12:56:29 2014  removing 263056 relations and 220955 ideals in 42101 cliques
Thu Dec 11 12:56:29 2014  commencing in-memory singleton removal
Thu Dec 11 12:56:29 2014  begin with 1561860 relations and 1748512 unique ideals
Thu Dec 11 12:56:29 2014  reduce to 1528769 relations and 1493662 ideals in 10 passes
Thu Dec 11 12:56:29 2014  max relations containing the same ideal: 86
Thu Dec 11 12:56:30 2014  relations with 0 large ideals: 90
Thu Dec 11 12:56:30 2014  relations with 1 large ideals: 184
Thu Dec 11 12:56:30 2014  relations with 2 large ideals: 2915
Thu Dec 11 12:56:30 2014  relations with 3 large ideals: 25499
Thu Dec 11 12:56:30 2014  relations with 4 large ideals: 116893
Thu Dec 11 12:56:30 2014  relations with 5 large ideals: 299925
Thu Dec 11 12:56:30 2014  relations with 6 large ideals: 450443
Thu Dec 11 12:56:30 2014  relations with 7+ large ideals: 632820
Thu Dec 11 12:56:30 2014  commencing 2-way merge
Thu Dec 11 12:56:30 2014  reduce to 875748 relation sets and 840641 unique ideals
Thu Dec 11 12:56:30 2014  commencing full merge
Thu Dec 11 12:56:38 2014  memory use: 94.3 MB
Thu Dec 11 12:56:38 2014  found 430218 cycles, need 424841
Thu Dec 11 12:56:38 2014  weight of 424841 cycles is about 29773459 (70.08/cycle)
Thu Dec 11 12:56:38 2014  distribution of cycle lengths:
Thu Dec 11 12:56:38 2014  1 relations: 47883
Thu Dec 11 12:56:38 2014  2 relations: 47489
Thu Dec 11 12:56:38 2014  3 relations: 47670
Thu Dec 11 12:56:38 2014  4 relations: 43110
Thu Dec 11 12:56:38 2014  5 relations: 39352
Thu Dec 11 12:56:38 2014  6 relations: 33459
Thu Dec 11 12:56:38 2014  7 relations: 29761
Thu Dec 11 12:56:38 2014  8 relations: 25803
Thu Dec 11 12:56:38 2014  9 relations: 22055
Thu Dec 11 12:56:38 2014  10+ relations: 88259
Thu Dec 11 12:56:38 2014  heaviest cycle: 22 relations
Thu Dec 11 12:56:38 2014  commencing cycle optimization
Thu Dec 11 12:56:38 2014  start with 2611205 relations
Thu Dec 11 12:56:40 2014  pruned 54417 relations
Thu Dec 11 12:56:40 2014  memory use: 87.8 MB
Thu Dec 11 12:56:40 2014  distribution of cycle lengths:
Thu Dec 11 12:56:40 2014  1 relations: 47883
Thu Dec 11 12:56:40 2014  2 relations: 48499
Thu Dec 11 12:56:40 2014  3 relations: 49066
Thu Dec 11 12:56:40 2014  4 relations: 44044
Thu Dec 11 12:56:40 2014  5 relations: 40128
Thu Dec 11 12:56:40 2014  6 relations: 33788
Thu Dec 11 12:56:40 2014  7 relations: 29985
Thu Dec 11 12:56:40 2014  8 relations: 25779
Thu Dec 11 12:56:40 2014  9 relations: 22008
Thu Dec 11 12:56:40 2014  10+ relations: 83661
Thu Dec 11 12:56:40 2014  heaviest cycle: 22 relations
Thu Dec 11 12:56:41 2014  RelProcTime: 66
Thu Dec 11 12:56:41 2014  
Thu Dec 11 12:56:41 2014  commencing linear algebra
Thu Dec 11 12:56:41 2014  read 424841 cycles
Thu Dec 11 12:56:41 2014  cycles contain 1477389 unique relations
Thu Dec 11 12:56:48 2014  read 1477389 relations
Thu Dec 11 12:56:49 2014  using 20 quadratic characters above 67108670
Thu Dec 11 12:56:55 2014  building initial matrix
Thu Dec 11 12:57:02 2014  memory use: 187.6 MB
Thu Dec 11 12:57:02 2014  read 424841 cycles
Thu Dec 11 12:57:02 2014  matrix is 424669 x 424841 (129.0 MB) with weight 40870844 (96.20/col)
Thu Dec 11 12:57:02 2014  sparse part has weight 28723094 (67.61/col)
Thu Dec 11 12:57:04 2014  filtering completed in 2 passes
Thu Dec 11 12:57:04 2014  matrix is 423844 x 424021 (128.9 MB) with weight 40835599 (96.31/col)
Thu Dec 11 12:57:04 2014  sparse part has weight 28712603 (67.72/col)
Thu Dec 11 12:57:05 2014  matrix starts at (0, 0)
Thu Dec 11 12:57:05 2014  matrix is 423844 x 424021 (128.9 MB) with weight 40835599 (96.31/col)
Thu Dec 11 12:57:05 2014  sparse part has weight 28712603 (67.72/col)
Thu Dec 11 12:57:05 2014  saving the first 48 matrix rows for later
Thu Dec 11 12:57:05 2014  matrix includes 64 packed rows
Thu Dec 11 12:57:05 2014  matrix is 423796 x 424021 (123.7 MB) with weight 32517449 (76.69/col)
Thu Dec 11 12:57:05 2014  sparse part has weight 28182467 (66.46/col)
Thu Dec 11 12:57:05 2014  using block size 65536 for processor cache size 8192 kB
Thu Dec 11 12:57:06 2014  commencing Lanczos iteration (8 threads)
Thu Dec 11 12:57:06 2014  memory use: 117.0 MB
Thu Dec 11 12:57:14 2014  linear algebra at 2.9%, ETA 0h 4m
Thu Dec 11 13:01:37 2014  lanczos halted after 6704 iterations (dim = 423793)
Thu Dec 11 13:01:38 2014  recovered 29 nontrivial dependencies
Thu Dec 11 13:01:38 2014  BLanczosTime: 297
Thu Dec 11 13:01:38 2014  
Thu Dec 11 13:01:38 2014  commencing square root phase
Thu Dec 11 13:01:38 2014  reading relations for dependency 1
Thu Dec 11 13:01:38 2014  read 211437 cycles
Thu Dec 11 13:01:38 2014  cycles contain 737528 unique relations
Thu Dec 11 13:01:43 2014  read 737528 relations
Thu Dec 11 13:01:45 2014  multiplying 737528 relations
Thu Dec 11 13:02:01 2014  multiply complete, coefficients have about 25.50 million bits
Thu Dec 11 13:02:01 2014  initial square root is modulo 21064567
Thu Dec 11 13:02:23 2014  GCD is 1, no factor found
Thu Dec 11 13:02:23 2014  reading relations for dependency 2
Thu Dec 11 13:02:23 2014  read 211902 cycles
Thu Dec 11 13:02:23 2014  cycles contain 736628 unique relations
Thu Dec 11 13:02:28 2014  read 736628 relations
Thu Dec 11 13:02:30 2014  multiplying 736628 relations
Thu Dec 11 13:02:47 2014  multiply complete, coefficients have about 25.47 million bits
Thu Dec 11 13:02:47 2014  initial square root is modulo 20653001
Thu Dec 11 13:03:08 2014  sqrtTime: 90
--
n: 1533407567602652776757009174923785548588095967883445587249506625218900397408667329344721648859530713762661998369
skew: 950683.06
c0: 1165914374040645588101424066000
c1: 13326438655728788526760680
c2: 12901034522539120312
c3: -30069864317894
c4: -9005315
c5: 12
Y0: -10502567353106998926697
Y1: 32888133959
rlim: 3720000
alim: 3720000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 8, 2014 22:32:27 UTC 2014 年 12 月 9 日 (火) 7 時 32 分 27 秒 (日本時間)
403e6110 / 1494Ignacio SantosDecember 8, 2014 22:32:27 UTC 2014 年 12 月 9 日 (火) 7 時 32 分 27 秒 (日本時間)
4511e6182 / 439532Ignacio SantosDecember 8, 2014 22:32:27 UTC 2014 年 12 月 9 日 (火) 7 時 32 分 27 秒 (日本時間)
150Pierre JammesDecember 10, 2014 19:17:23 UTC 2014 年 12 月 11 日 (木) 4 時 17 分 23 秒 (日本時間)
5043e612 / 75066Pierre JammesDecember 10, 2014 17:14:00 UTC 2014 年 12 月 11 日 (木) 2 時 14 分 0 秒 (日本時間)
6Pierre JammesDecember 10, 2014 19:17:23 UTC 2014 年 12 月 11 日 (木) 4 時 17 分 23 秒 (日本時間)

154×10159-19

c141

name 名前Serge Batalov
date 日付December 11, 2014 01:35:01 UTC 2014 年 12 月 11 日 (木) 10 時 35 分 1 秒 (日本時間)
composite number 合成数
101364678001576533278194636992402501912696761294385538000332848458816212440401741885580355814632466194945919105949652823079238295938581945819<141>
prime factors 素因数
34739693596601154539431271802187<32>
2917834543350543597498863952808433966636273840993020126866651460621030648405051217642337619385844005781282737<109>
factorization results 素因数分解の結果
Input number is 101364678001576533278194636992402501912696761294385538000332848458816212440401741885580355814632466194945919105949652823079238295938581945819 (141 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2177196353
Step 1 took 8910ms
Step 2 took 6917ms
********** Factor found in step 2: 34739693596601154539431271802187
Found probable prime factor of 32 digits: 34739693596601154539431271802187
Probable prime cofactor 2917834543350543597498863952808433966636273840993020126866651460621030648405051217642337619385844005781282737 has 109 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:48:53 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 53 秒 (日本時間)

154×10160-19

c157

name 名前Jo Yeong Uk
date 日付December 29, 2014 11:31:24 UTC 2014 年 12 月 29 日 (月) 20 時 31 分 24 秒 (日本時間)
composite number 合成数
2743352269589583812083932328268820020058536724401762158483816893705787938869560725171325912031024820212449475111203743785149200954116542592325382955944256507<157>
prime factors 素因数
6142039248375713392504793919063091709350397952938553394387834231<64>
446651699647649465287376763587458197481940055947976635163588573298319119943356515801865623197<93>
factorization results 素因数分解の結果
Number: 17111_160
N=2743352269589583812083932328268820020058536724401762158483816893705787938869560725171325912031024820212449475111203743785149200954116542592325382955944256507
  ( 157 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=6142039248375713392504793919063091709350397952938553394387834231
 r2=446651699647649465287376763587458197481940055947976635163588573298319119943356515801865623197
Version: 
Total time: 7.81 hours.
Scaled time: 40.04 units (timescale=5.127).
Factorization parameters were as follows:
n: 2743352269589583812083932328268820020058536724401762158483816893705787938869560725171325912031024820212449475111203743785149200954116542592325382955944256507
m: 100000000000000000000000000000000
deg: 5
c5: 154
c0: -1
skew: 0.37
# Murphy_E = 5.971e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1500000, 2625001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8679422
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 623524 x 623771
Total sieving time: 7.09 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 0.36 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,51,51,2.4,2.4,75000
total time: 7.81 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.. 6799.88 BogoMIPS (lpj=3399941)
Total of 12 processors activated (81598.58 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 KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:48:54 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 54 秒 (日本時間)

154×10161-19

c142

name 名前Jo Yeong Uk
date 日付January 1, 2015 01:00:13 UTC 2015 年 1 月 1 日 (木) 10 時 0 分 13 秒 (日本時間)
composite number 合成数
3355441489034945549338865319953172311886334607920054012029077041039471364450726951095898160018338295482462210771956177266138684441360721489177<142>
prime factors 素因数
718064461420566644742287744210269386279059089208526567473<57>
4672897308407080192646983284567575941014039038307960112810365763635023335438726771049<85>
factorization results 素因数分解の結果
Number: 17111_161
N=3355441489034945549338865319953172311886334607920054012029077041039471364450726951095898160018338295482462210771956177266138684441360721489177
  ( 142 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=718064461420566644742287744210269386279059089208526567473
 r2=4672897308407080192646983284567575941014039038307960112810365763635023335438726771049
Version: 
Total time: 11.46 hours.
Scaled time: 60.19 units (timescale=5.254).
Factorization parameters were as follows:
n: 3355441489034945549338865319953172311886334607920054012029077041039471364450726951095898160018338295482462210771956177266138684441360721489177
m: 100000000000000000000000000000000
deg: 5
c5: 1540
c0: -1
skew: 0.23
# Murphy_E = 4.373e-10
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 3400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9695967
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 643076 x 643324
Total sieving time: 10.63 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 0.38 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 11.46 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.. 6799.88 BogoMIPS (lpj=3399941)
Total of 12 processors activated (81598.58 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 KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:48:54 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 54 秒 (日本時間)

154×10163-19

c136

name 名前Serge Batalov
date 日付December 17, 2014 20:43:54 UTC 2014 年 12 月 18 日 (木) 5 時 43 分 54 秒 (日本時間)
composite number 合成数
2072121437470469231700976187347182869036322256738619671994869202548726541501468472095253628492597301645821125011546902828112197067625661<136>
prime factors 素因数
161849515363618500694385616669247<33>
12802765784099796236925566414620341553314002074681103534284167990767020681297419743071774197544852687363<104>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2459738901
Step 1 took 10405ms
Step 2 took 8543ms
********** Factor found in step 2: 161849515363618500694385616669247
Found probable prime factor of 33 digits: 161849515363618500694385616669247
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:48:54 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 54 秒 (日本時間)

154×10164-19

c108

name 名前Erik Branger
date 日付December 9, 2014 21:46:34 UTC 2014 年 12 月 10 日 (水) 6 時 46 分 34 秒 (日本時間)
composite number 合成数
564806841873028020488259481640411656372846385332051576900039319298124363291544872271105713769237563939672439<108>
prime factors 素因数
3518637144771240255950305589809089495453358778483<49>
160518637936947096890242448316872870472298467733777379927533<60>
factorization results 素因数分解の結果
Number: 17111_164
N = 564806841873028020488259481640411656372846385332051576900039319298124363291544872271105713769237563939672439 (108 digits)
Divisors found:
r1=3518637144771240255950305589809089495453358778483 (pp49)
r2=160518637936947096890242448316872870472298467733777379927533 (pp60)
Version: Msieve v. 1.51 (SVN 845)
Total time: 5.62 hours.
Factorization parameters were as follows:
n: 564806841873028020488259481640411656372846385332051576900039319298124363291544872271105713769237563939672439
Y0: -149988853024023347580382136
Y1: 29018026374521
c0: 1663091131698973478698886221815
c1: 73652848585082728954316
c2: -192716169820978799
c3: -2415411304
c4: 1116
skew: 8814431.19
type: gnfs
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [0, 0)
Total raw relations: 5025242
Relations: 629148 relations
Pruned matrix : 365608 x 365837
Polynomial selection time: 0.00 hours.
Total sieving time: 5.39 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.10 hours.
time per square root: 0.10 hours.
Prototype def-par.txt line would be: gnfs,107,4,59,2000,0.0006,0.25,200,15,15000,2000,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 5.62 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 8, 2014 17:06:58 UTC 2014 年 12 月 9 日 (火) 2 時 6 分 58 秒 (日本時間)
403e6110 / 2126Ignacio SantosDecember 8, 2014 17:06:58 UTC 2014 年 12 月 9 日 (火) 2 時 6 分 58 秒 (日本時間)
4511e632 / 4437Ignacio SantosDecember 8, 2014 17:06:58 UTC 2014 年 12 月 9 日 (火) 2 時 6 分 58 秒 (日本時間)

154×10165-19

c136

name 名前Serge Batalov
date 日付December 11, 2014 01:35:05 UTC 2014 年 12 月 11 日 (木) 10 時 35 分 5 秒 (日本時間)
composite number 合成数
4226002680062982547572133741265781013111394353862978658833191246577989640424725449831432761740703981879222043661697133621471497019598741<136>
prime factors 素因数
23240107754399049627533892346129<32>
composite cofactor 合成数の残り
181840924522523149501357610940395587680545155530478661354487744221374299022116138320635794464294181609029<105>
factorization results 素因数分解の結果
Input number is 4226002680062982547572133741265781013111394353862978658833191246577989640424725449831432761740703981879222043661697133621471497019598741 (136 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2399690507
Step 1 took 8934ms
Step 2 took 6488ms
********** Factor found in step 2: 23240107754399049627533892346129
Found probable prime factor of 32 digits: 23240107754399049627533892346129
Composite cofactor 181840924522523149501357610940395587680545155530478661354487744221374299022116138320635794464294181609029 has 105 digits

c105

name 名前Cyp
date 日付December 11, 2014 20:34:48 UTC 2014 年 12 月 12 日 (金) 5 時 34 分 48 秒 (日本時間)
composite number 合成数
181840924522523149501357610940395587680545155530478661354487744221374299022116138320635794464294181609029<105>
prime factors 素因数
55014084736981549239533361106659995459682402421559<50>
3305352172846131262950010010366350836001113137345247331<55>
factorization results 素因数分解の結果
12/11/14 20:40:35 v1.34.3, 
12/11/14 20:40:35 v1.34.3, ****************************
12/11/14 20:40:35 v1.34.3, Starting factorization of 181840924522523149501357610940395587680545155530478661354487744221374299022116138320635794464294181609029
12/11/14 20:40:35 v1.34.3, using pretesting plan: none
12/11/14 20:40:35 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/11/14 20:40:35 v1.34.3, ****************************
12/11/14 20:40:35 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C105
12/11/14 20:40:35 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C105
12/11/14 20:40:35 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C105
12/11/14 20:40:35 v1.34.3, final ECM pretested depth: 0.00
12/11/14 20:40:35 v1.34.3, scheduler: switching to sieve method
12/11/14 20:40:35 v1.34.3, nfs: commencing nfs on c105: 181840924522523149501357610940395587680545155530478661354487744221374299022116138320635794464294181609029
12/11/14 20:40:35 v1.34.3, nfs: commencing poly selection with 8 threads
12/11/14 20:40:35 v1.34.3, nfs: setting deadline of 220 seconds
12/11/14 20:45:12 v1.34.3, nfs: completed 53 ranges of size 250 in 276.6474 seconds
12/11/14 20:45:12 v1.34.3, nfs: best poly = # norm 2.666231e-14 alpha -5.528566 e 6.153e-09 rroots 2
12/11/14 20:45:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 20:46:40 v1.34.3, nfs: commencing lattice sieving with 8 threads
[20 lines snipped]
12/11/14 21:17:14 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 21:18:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 21:20:12 v1.34.3, nfs: commencing msieve filtering
12/11/14 21:20:59 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 21:22:31 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 21:24:03 v1.34.3, nfs: commencing msieve filtering
12/11/14 21:24:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 21:26:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 21:27:56 v1.34.3, nfs: commencing msieve filtering
12/11/14 21:29:15 v1.34.3, nfs: commencing msieve linear algebra
12/11/14 21:33:32 v1.34.3, nfs: commencing msieve sqrt
12/11/14 21:34:47 v1.34.3, prp50 = 55014084736981549239533361106659995459682402421559
12/11/14 21:34:47 v1.34.3, prp55 = 3305352172846131262950010010366350836001113137345247331
12/11/14 21:34:47 v1.34.3, NFS elapsed time = 3252.0571 seconds.
12/11/14 21:34:47 v1.34.3, 
12/11/14 21:34:47 v1.34.3, 
12/11/14 21:34:47 v1.34.3, Total factoring time = 3252.0798 seconds
--
Thu Dec 11 21:20:12 2014  
Thu Dec 11 21:20:12 2014  commencing relation filtering
Thu Dec 11 21:20:12 2014  estimated available RAM is 15987.3 MB
Thu Dec 11 21:20:12 2014  commencing duplicate removal, pass 1
Thu Dec 11 21:20:28 2014  found 457525 hash collisions in 4607234 relations
Thu Dec 11 21:20:32 2014  added 158599 free relations
Thu Dec 11 21:20:32 2014  commencing duplicate removal, pass 2
Thu Dec 11 21:20:36 2014  found 222322 duplicates and 4543511 unique relations
Thu Dec 11 21:20:36 2014  memory use: 20.6 MB
Thu Dec 11 21:20:36 2014  reading ideals above 100000
Thu Dec 11 21:20:36 2014  commencing singleton removal, initial pass
Thu Dec 11 21:20:56 2014  memory use: 172.2 MB
Thu Dec 11 21:20:56 2014  reading all ideals from disk
Thu Dec 11 21:20:56 2014  memory use: 145.2 MB
Thu Dec 11 21:20:57 2014  keeping 5491514 ideals with weight <= 200, target excess is 21581
Thu Dec 11 21:20:57 2014  commencing in-memory singleton removal
Thu Dec 11 21:20:57 2014  begin with 4543511 relations and 5491514 unique ideals
Thu Dec 11 21:20:59 2014  reduce to 925471 relations and 1030199 ideals in 36 passes
Thu Dec 11 21:20:59 2014  max relations containing the same ideal: 65
Thu Dec 11 21:24:03 2014  
Thu Dec 11 21:24:03 2014  commencing relation filtering
Thu Dec 11 21:24:03 2014  estimated available RAM is 15987.3 MB
Thu Dec 11 21:24:03 2014  commencing duplicate removal, pass 1
Thu Dec 11 21:24:20 2014  found 546856 hash collisions in 5156216 relations
Thu Dec 11 21:24:24 2014  added 1313 free relations
Thu Dec 11 21:24:24 2014  commencing duplicate removal, pass 2
Thu Dec 11 21:24:28 2014  found 256918 duplicates and 4900611 unique relations
Thu Dec 11 21:24:28 2014  memory use: 20.6 MB
Thu Dec 11 21:24:28 2014  reading ideals above 100000
Thu Dec 11 21:24:28 2014  commencing singleton removal, initial pass
Thu Dec 11 21:24:51 2014  memory use: 172.2 MB
Thu Dec 11 21:24:51 2014  reading all ideals from disk
Thu Dec 11 21:24:51 2014  memory use: 156.7 MB
Thu Dec 11 21:24:52 2014  keeping 5658144 ideals with weight <= 200, target excess is 23074
Thu Dec 11 21:24:52 2014  commencing in-memory singleton removal
Thu Dec 11 21:24:52 2014  begin with 4900611 relations and 5658144 unique ideals
Thu Dec 11 21:24:56 2014  reduce to 1451339 relations and 1466508 ideals in 29 passes
Thu Dec 11 21:24:56 2014  max relations containing the same ideal: 86
Thu Dec 11 21:27:56 2014  
Thu Dec 11 21:27:56 2014  commencing relation filtering
Thu Dec 11 21:27:56 2014  estimated available RAM is 15987.3 MB
Thu Dec 11 21:27:56 2014  commencing duplicate removal, pass 1
Thu Dec 11 21:28:15 2014  found 622713 hash collisions in 5548816 relations
Thu Dec 11 21:28:20 2014  added 1005 free relations
Thu Dec 11 21:28:20 2014  commencing duplicate removal, pass 2
Thu Dec 11 21:28:25 2014  found 293944 duplicates and 5255877 unique relations
Thu Dec 11 21:28:25 2014  memory use: 20.6 MB
Thu Dec 11 21:28:25 2014  reading ideals above 100000
Thu Dec 11 21:28:25 2014  commencing singleton removal, initial pass
Thu Dec 11 21:28:54 2014  memory use: 172.2 MB
Thu Dec 11 21:28:54 2014  reading all ideals from disk
Thu Dec 11 21:28:54 2014  memory use: 168.2 MB
Thu Dec 11 21:28:55 2014  keeping 5808581 ideals with weight <= 200, target excess is 24770
Thu Dec 11 21:28:55 2014  commencing in-memory singleton removal
Thu Dec 11 21:28:56 2014  begin with 5255877 relations and 5808581 unique ideals
Thu Dec 11 21:28:59 2014  reduce to 1934118 relations and 1831026 ideals in 19 passes
Thu Dec 11 21:28:59 2014  max relations containing the same ideal: 103
Thu Dec 11 21:29:00 2014  removing 324719 relations and 287540 ideals in 37179 cliques
Thu Dec 11 21:29:00 2014  commencing in-memory singleton removal
Thu Dec 11 21:29:00 2014  begin with 1609399 relations and 1831026 unique ideals
Thu Dec 11 21:29:01 2014  reduce to 1562174 relations and 1494989 ideals in 10 passes
Thu Dec 11 21:29:01 2014  max relations containing the same ideal: 89
Thu Dec 11 21:29:02 2014  removing 240643 relations and 203464 ideals in 37179 cliques
Thu Dec 11 21:29:02 2014  commencing in-memory singleton removal
Thu Dec 11 21:29:02 2014  begin with 1321531 relations and 1494989 unique ideals
Thu Dec 11 21:29:02 2014  reduce to 1288369 relations and 1257502 ideals in 11 passes
Thu Dec 11 21:29:02 2014  max relations containing the same ideal: 78
Thu Dec 11 21:29:03 2014  relations with 0 large ideals: 465
Thu Dec 11 21:29:03 2014  relations with 1 large ideals: 222
Thu Dec 11 21:29:03 2014  relations with 2 large ideals: 3390
Thu Dec 11 21:29:03 2014  relations with 3 large ideals: 28542
Thu Dec 11 21:29:03 2014  relations with 4 large ideals: 122899
Thu Dec 11 21:29:03 2014  relations with 5 large ideals: 306420
Thu Dec 11 21:29:03 2014  relations with 6 large ideals: 392303
Thu Dec 11 21:29:03 2014  relations with 7+ large ideals: 434128
Thu Dec 11 21:29:03 2014  commencing 2-way merge
Thu Dec 11 21:29:04 2014  reduce to 728797 relation sets and 697930 unique ideals
Thu Dec 11 21:29:04 2014  commencing full merge
Thu Dec 11 21:29:12 2014  memory use: 77.3 MB
Thu Dec 11 21:29:12 2014  found 348357 cycles, need 344130
Thu Dec 11 21:29:12 2014  weight of 344130 cycles is about 24093896 (70.01/cycle)
Thu Dec 11 21:29:12 2014  distribution of cycle lengths:
Thu Dec 11 21:29:12 2014  1 relations: 38039
Thu Dec 11 21:29:12 2014  2 relations: 36507
Thu Dec 11 21:29:12 2014  3 relations: 35517
Thu Dec 11 21:29:12 2014  4 relations: 32400
Thu Dec 11 21:29:12 2014  5 relations: 29858
Thu Dec 11 21:29:12 2014  6 relations: 26143
Thu Dec 11 21:29:12 2014  7 relations: 23025
Thu Dec 11 21:29:12 2014  8 relations: 20494
Thu Dec 11 21:29:12 2014  9 relations: 17573
Thu Dec 11 21:29:12 2014  10+ relations: 84574
Thu Dec 11 21:29:12 2014  heaviest cycle: 26 relations
Thu Dec 11 21:29:12 2014  commencing cycle optimization
Thu Dec 11 21:29:12 2014  start with 2281840 relations
Thu Dec 11 21:29:15 2014  pruned 50914 relations
Thu Dec 11 21:29:15 2014  memory use: 74.5 MB
Thu Dec 11 21:29:15 2014  distribution of cycle lengths:
Thu Dec 11 21:29:15 2014  1 relations: 38039
Thu Dec 11 21:29:15 2014  2 relations: 37245
Thu Dec 11 21:29:15 2014  3 relations: 36566
Thu Dec 11 21:29:15 2014  4 relations: 33276
Thu Dec 11 21:29:15 2014  5 relations: 30498
Thu Dec 11 21:29:15 2014  6 relations: 26483
Thu Dec 11 21:29:15 2014  7 relations: 23221
Thu Dec 11 21:29:15 2014  8 relations: 20494
Thu Dec 11 21:29:15 2014  9 relations: 17617
Thu Dec 11 21:29:15 2014  10+ relations: 80691
Thu Dec 11 21:29:15 2014  heaviest cycle: 25 relations
Thu Dec 11 21:29:15 2014  RelProcTime: 79
Thu Dec 11 21:29:15 2014  
Thu Dec 11 21:29:15 2014  commencing linear algebra
Thu Dec 11 21:29:15 2014  read 344130 cycles
Thu Dec 11 21:29:16 2014  cycles contain 1238721 unique relations
Thu Dec 11 21:29:22 2014  read 1238721 relations
Thu Dec 11 21:29:23 2014  using 20 quadratic characters above 67106984
Thu Dec 11 21:29:27 2014  building initial matrix
Thu Dec 11 21:29:34 2014  memory use: 154.1 MB
Thu Dec 11 21:29:34 2014  read 344130 cycles
Thu Dec 11 21:29:34 2014  matrix is 343971 x 344130 (102.9 MB) with weight 32991039 (95.87/col)
Thu Dec 11 21:29:34 2014  sparse part has weight 23177705 (67.35/col)
Thu Dec 11 21:29:36 2014  filtering completed in 2 passes
Thu Dec 11 21:29:36 2014  matrix is 343277 x 343452 (102.8 MB) with weight 32960204 (95.97/col)
Thu Dec 11 21:29:36 2014  sparse part has weight 23167653 (67.46/col)
Thu Dec 11 21:29:36 2014  matrix starts at (0, 0)
Thu Dec 11 21:29:36 2014  matrix is 343277 x 343452 (102.8 MB) with weight 32960204 (95.97/col)
Thu Dec 11 21:29:36 2014  sparse part has weight 23167653 (67.46/col)
Thu Dec 11 21:29:36 2014  saving the first 48 matrix rows for later
Thu Dec 11 21:29:37 2014  matrix includes 64 packed rows
Thu Dec 11 21:29:37 2014  matrix is 343229 x 343452 (99.2 MB) with weight 26160393 (76.17/col)
Thu Dec 11 21:29:37 2014  sparse part has weight 22575287 (65.73/col)
Thu Dec 11 21:29:37 2014  using block size 65536 for processor cache size 8192 kB
Thu Dec 11 21:29:37 2014  commencing Lanczos iteration (8 threads)
Thu Dec 11 21:29:37 2014  memory use: 93.8 MB
Thu Dec 11 21:29:46 2014  linear algebra at 3.5%, ETA 0h 4m
Thu Dec 11 21:33:32 2014  lanczos halted after 5429 iterations (dim = 343229)
Thu Dec 11 21:33:32 2014  recovered 34 nontrivial dependencies
Thu Dec 11 21:33:32 2014  BLanczosTime: 257
Thu Dec 11 21:33:32 2014  
Thu Dec 11 21:33:32 2014  commencing square root phase
Thu Dec 11 21:33:32 2014  reading relations for dependency 1
Thu Dec 11 21:33:32 2014  read 171968 cycles
Thu Dec 11 21:33:32 2014  cycles contain 621296 unique relations
Thu Dec 11 21:33:37 2014  read 621296 relations
Thu Dec 11 21:33:39 2014  multiplying 621296 relations
Thu Dec 11 21:33:52 2014  multiply complete, coefficients have about 26.49 million bits
Thu Dec 11 21:33:52 2014  initial square root is modulo 40654181
Thu Dec 11 21:34:09 2014  GCD is N, no factor found
Thu Dec 11 21:34:09 2014  reading relations for dependency 2
Thu Dec 11 21:34:09 2014  read 171555 cycles
Thu Dec 11 21:34:09 2014  cycles contain 618470 unique relations
Thu Dec 11 21:34:14 2014  read 618470 relations
Thu Dec 11 21:34:16 2014  multiplying 618470 relations
Thu Dec 11 21:34:31 2014  multiply complete, coefficients have about 26.37 million bits
Thu Dec 11 21:34:31 2014  initial square root is modulo 37535153
Thu Dec 11 21:34:47 2014  sqrtTime: 75
--
n: 181840924522523149501357610940395587680545155530478661354487744221374299022116138320635794464294181609029
skew: 4000559.51
c0: -102293470231035248990461273345
c1: -12102859766624479626661
c2: -42296607267839211
c3: -9134030059
c4: 2940
Y0: -15770183449504531694497074
Y1: 31336127728559
rlim: 2500000
alim: 2500000
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 KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:48:55 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 55 秒 (日本時間)

154×10169-19

c150

name 名前Ignacio Santos
date 日付February 15, 2015 19:23:08 UTC 2015 年 2 月 16 日 (月) 4 時 23 分 8 秒 (日本時間)
composite number 合成数
140648851446287678620462584599658990247192881200794983439616613148293426116527046746054276195110140689747561958229650915061241365396790777948902543937<150>
prime factors 素因数
19716029343205405824564118208755942939<38>
7133731087429045966409755802756296377302539302334845942009279939443338035500034601122068705526225690049429520083<112>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3762731141
Step 1 took 10141ms
Step 2 took 6515ms
********** Factor found in step 2: 19716029343205405824564118208755942939
Found probable prime factor of 38 digits: 19716029343205405824564118208755942939
Probable prime cofactor 7133731087429045966409755802756296377302539302334845942009279939443338035500034601122068705526225690049429520083 has 112 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 KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280 / 2318CypDecember 10, 2014 03:32:58 UTC 2014 年 12 月 10 日 (水) 12 時 32 分 58 秒 (日本時間)

154×10170-19

c166

name 名前Cyp
date 日付April 9, 2015 16:21:04 UTC 2015 年 4 月 10 日 (金) 1 時 21 分 4 秒 (日本時間)
composite number 合成数
8884781119955506862339547487712751564788804714241784894833615165513664389508804298849420844965761861327028600341198672359849789505688856119046836065980461558609843299<166>
prime factors 素因数
1502666860014720324252378285138721412927475754826333545537298068351<67>
5912675228538992578685370512237182599653572841058601844986930938593141092470078376697548748457509149<100>
factorization results 素因数分解の結果
04/09/15 07:53:06 v1.34.3, 
04/09/15 07:53:06 v1.34.3, ****************************
04/09/15 07:53:06 v1.34.3, Starting factorization of 8884781119955506862339547487712751564788804714241784894833615165513664389508804298849420844965761861327028600341198672359849789505688856119046836065980461558609843299
04/09/15 07:53:06 v1.34.3, using pretesting plan: none
04/09/15 07:53:06 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
04/09/15 07:53:06 v1.34.3, ****************************
04/09/15 07:53:06 v1.34.3, nfs: commencing nfs on c166: 8884781119955506862339547487712751564788804714241784894833615165513664389508804298849420844965761861327028600341198672359849789505688856119046836065980461558609843299
04/09/15 07:53:06 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
04/09/15 07:53:06 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/09/15 07:58:14 v1.34.3, nfs: commencing lattice sieving with 8 threads
[54 lines snipped]
04/09/15 12:36:14 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/09/15 12:41:22 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/09/15 12:46:31 v1.34.3, nfs: commencing msieve filtering
04/09/15 16:27:46 v1.34.3, 
04/09/15 16:27:46 v1.34.3, ****************************
04/09/15 16:27:46 v1.34.3, Starting factorization of 8884781119955506862339547487712751564788804714241784894833615165513664389508804298849420844965761861327028600341198672359849789505688856119046836065980461558609843299
04/09/15 16:27:46 v1.34.3, using pretesting plan: none
04/09/15 16:27:46 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
04/09/15 16:27:46 v1.34.3, ****************************
04/09/15 16:27:46 v1.34.3, nfs: commencing nfs on c166: 8884781119955506862339547487712751564788804714241784894833615165513664389508804298849420844965761861327028600341198672359849789505688856119046836065980461558609843299
04/09/15 16:27:46 v1.34.3, nfs: resuming with sieving at user specified special-q 4919983
04/09/15 16:27:46 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/09/15 16:38:46 v1.34.3, c166 cofactor = 8884781119955506862339547487712751564788804714241784894833615165513664389508804298849420844965761861327028600341198672359849789505688856119046836065980461558609843299
04/09/15 16:38:46 v1.34.3, Total factoring time = 659.2622 seconds
04/09/15 17:53:13 v1.34.3, 
04/09/15 17:53:13 v1.34.3, ****************************
04/09/15 17:53:13 v1.34.3, Starting factorization of 8884781119955506862339547487712751564788804714241784894833615165513664389508804298849420844965761861327028600341198672359849789505688856119046836065980461558609843299
04/09/15 17:53:13 v1.34.3, using pretesting plan: none
04/09/15 17:53:13 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
04/09/15 17:53:13 v1.34.3, ****************************
04/09/15 17:53:13 v1.34.3, nfs: previous data file found - commencing search for last special-q
04/09/15 17:53:22 v1.34.3, nfs: parsing special-q from .dat file
04/09/15 17:53:22 v1.34.3, nfs: commencing nfs on c166: 8884781119955506862339547487712751564788804714241784894833615165513664389508804298849420844965761861327028600341198672359849789505688856119046836065980461558609843299
04/09/15 17:53:22 v1.34.3, nfs: resuming with filtering
04/09/15 17:53:22 v1.34.3, nfs: commencing msieve filtering
04/09/15 17:55:30 v1.34.3, nfs: commencing msieve linear algebra
04/09/15 18:19:38 v1.34.3, nfs: commencing msieve sqrt
04/09/15 18:21:03 v1.34.3, prp100 = 5912675228538992578685370512237182599653572841058601844986930938593141092470078376697548748457509149
04/09/15 18:21:03 v1.34.3, prp67 = 1502666860014720324252378285138721412927475754826333545537298068351
04/09/15 18:21:03 v1.34.3, NFS elapsed time = 1669.8780 seconds.
04/09/15 18:21:03 v1.34.3, 
04/09/15 18:21:03 v1.34.3, 
04/09/15 18:21:03 v1.34.3, Total factoring time = 1669.8791 seconds
--
Thu Apr  9 12:46:31 2015  
Thu Apr  9 12:46:31 2015  commencing relation filtering
Thu Apr  9 12:46:31 2015  estimated available RAM is 15987.3 MB
Thu Apr  9 12:46:31 2015  commencing duplicate removal, pass 1
Thu Apr  9 12:47:00 2015  found 1279878 hash collisions in 10174203 relations
Thu Apr  9 12:47:09 2015  added 370515 free relations
Thu Apr  9 12:47:09 2015  commencing duplicate removal, pass 2
Thu Apr  9 12:47:17 2015  found 794553 duplicates and 9750165 unique relations
Thu Apr  9 12:47:17 2015  memory use: 41.3 MB
Thu Apr  9 12:47:17 2015  reading ideals above 100000
Thu Apr  9 12:47:17 2015  commencing singleton removal, initial pass
Thu Apr  9 12:48:00 2015  memory use: 344.5 MB
Thu Apr  9 12:48:00 2015  reading all ideals from disk
Thu Apr  9 12:48:01 2015  memory use: 353.1 MB
Thu Apr  9 12:48:02 2015  keeping 10954896 ideals with weight <= 200, target excess is 49862
Thu Apr  9 12:48:02 2015  commencing in-memory singleton removal
Thu Apr  9 12:48:03 2015  begin with 9750165 relations and 10954896 unique ideals
Thu Apr  9 12:48:07 2015  reduce to 3733802 relations and 3671644 ideals in 22 passes
Thu Apr  9 12:48:07 2015  max relations containing the same ideal: 108
Thu Apr  9 12:48:09 2015  relations with 0 large ideals: 1127
Thu Apr  9 12:48:09 2015  relations with 1 large ideals: 249
Thu Apr  9 12:48:09 2015  relations with 2 large ideals: 4527
Thu Apr  9 12:48:09 2015  relations with 3 large ideals: 41894
Thu Apr  9 12:48:09 2015  relations with 4 large ideals: 208793
Thu Apr  9 12:48:09 2015  relations with 5 large ideals: 602677
Thu Apr  9 12:48:09 2015  relations with 6 large ideals: 1070089
Thu Apr  9 12:48:09 2015  relations with 7+ large ideals: 1804446
Thu Apr  9 12:48:09 2015  commencing 2-way merge
Thu Apr  9 12:48:10 2015  reduce to 2107322 relation sets and 2045691 unique ideals
Thu Apr  9 12:48:10 2015  ignored 527 oversize relation sets
Thu Apr  9 12:48:10 2015  commencing full merge
Thu Apr  9 12:48:58 2015  memory use: 97.6 MB
Thu Apr  9 12:48:58 2015  found 60337 cycles, need 449562
Thu Apr  9 12:48:58 2015  too few cycles, matrix probably cannot build
Thu Apr  9 17:53:22 2015  
Thu Apr  9 17:53:22 2015  commencing relation filtering
Thu Apr  9 17:53:22 2015  estimated available RAM is 15987.3 MB
Thu Apr  9 17:53:22 2015  commencing duplicate removal, pass 1
Thu Apr  9 17:53:56 2015  found 1395661 hash collisions in 10882474 relations
Thu Apr  9 17:54:05 2015  added 776 free relations
Thu Apr  9 17:54:05 2015  commencing duplicate removal, pass 2
Thu Apr  9 17:54:14 2015  found 840908 duplicates and 10042342 unique relations
Thu Apr  9 17:54:14 2015  memory use: 41.3 MB
Thu Apr  9 17:54:14 2015  reading ideals above 720000
Thu Apr  9 17:54:14 2015  commencing singleton removal, initial pass
Thu Apr  9 17:54:56 2015  memory use: 344.5 MB
Thu Apr  9 17:54:56 2015  reading all ideals from disk
Thu Apr  9 17:54:56 2015  memory use: 293.5 MB
Thu Apr  9 17:54:56 2015  commencing in-memory singleton removal
Thu Apr  9 17:54:57 2015  begin with 10042342 relations and 11002083 unique ideals
Thu Apr  9 17:55:00 2015  reduce to 4138880 relations and 3895041 ideals in 19 passes
Thu Apr  9 17:55:00 2015  max relations containing the same ideal: 70
Thu Apr  9 17:55:02 2015  removing 498519 relations and 444002 ideals in 54517 cliques
Thu Apr  9 17:55:02 2015  commencing in-memory singleton removal
Thu Apr  9 17:55:02 2015  begin with 3640361 relations and 3895041 unique ideals
Thu Apr  9 17:55:03 2015  reduce to 3585916 relations and 3395546 ideals in 9 passes
Thu Apr  9 17:55:03 2015  max relations containing the same ideal: 64
Thu Apr  9 17:55:04 2015  removing 373232 relations and 318715 ideals in 54517 cliques
Thu Apr  9 17:55:04 2015  commencing in-memory singleton removal
Thu Apr  9 17:55:04 2015  begin with 3212684 relations and 3395546 unique ideals
Thu Apr  9 17:55:05 2015  reduce to 3177460 relations and 3041066 ideals in 9 passes
Thu Apr  9 17:55:05 2015  max relations containing the same ideal: 56
Thu Apr  9 17:55:06 2015  relations with 0 large ideals: 2923
Thu Apr  9 17:55:06 2015  relations with 1 large ideals: 2580
Thu Apr  9 17:55:06 2015  relations with 2 large ideals: 33766
Thu Apr  9 17:55:06 2015  relations with 3 large ideals: 187264
Thu Apr  9 17:55:06 2015  relations with 4 large ideals: 547410
Thu Apr  9 17:55:06 2015  relations with 5 large ideals: 900788
Thu Apr  9 17:55:06 2015  relations with 6 large ideals: 880558
Thu Apr  9 17:55:06 2015  relations with 7+ large ideals: 622171
Thu Apr  9 17:55:06 2015  commencing 2-way merge
Thu Apr  9 17:55:07 2015  reduce to 1856546 relation sets and 1720152 unique ideals
Thu Apr  9 17:55:07 2015  commencing full merge
Thu Apr  9 17:55:23 2015  memory use: 195.0 MB
Thu Apr  9 17:55:24 2015  found 916086 cycles, need 898352
Thu Apr  9 17:55:24 2015  weight of 898352 cycles is about 63209498 (70.36/cycle)
Thu Apr  9 17:55:24 2015  distribution of cycle lengths:
Thu Apr  9 17:55:24 2015  1 relations: 113152
Thu Apr  9 17:55:24 2015  2 relations: 102870
Thu Apr  9 17:55:24 2015  3 relations: 99487
Thu Apr  9 17:55:24 2015  4 relations: 89497
Thu Apr  9 17:55:24 2015  5 relations: 81325
Thu Apr  9 17:55:24 2015  6 relations: 69046
Thu Apr  9 17:55:24 2015  7 relations: 60786
Thu Apr  9 17:55:24 2015  8 relations: 52057
Thu Apr  9 17:55:24 2015  9 relations: 44685
Thu Apr  9 17:55:24 2015  10+ relations: 185447
Thu Apr  9 17:55:24 2015  heaviest cycle: 22 relations
Thu Apr  9 17:55:24 2015  commencing cycle optimization
Thu Apr  9 17:55:25 2015  start with 5436999 relations
Thu Apr  9 17:55:29 2015  pruned 122831 relations
Thu Apr  9 17:55:29 2015  memory use: 180.8 MB
Thu Apr  9 17:55:29 2015  distribution of cycle lengths:
Thu Apr  9 17:55:29 2015  1 relations: 113152
Thu Apr  9 17:55:29 2015  2 relations: 104996
Thu Apr  9 17:55:29 2015  3 relations: 102872
Thu Apr  9 17:55:29 2015  4 relations: 91420
Thu Apr  9 17:55:29 2015  5 relations: 82989
Thu Apr  9 17:55:29 2015  6 relations: 70054
Thu Apr  9 17:55:29 2015  7 relations: 61241
Thu Apr  9 17:55:29 2015  8 relations: 52076
Thu Apr  9 17:55:29 2015  9 relations: 44322
Thu Apr  9 17:55:29 2015  10+ relations: 175230
Thu Apr  9 17:55:29 2015  heaviest cycle: 22 relations
Thu Apr  9 17:55:30 2015  RelProcTime: 128
Thu Apr  9 17:55:30 2015  
Thu Apr  9 17:55:30 2015  commencing linear algebra
Thu Apr  9 17:55:30 2015  read 898352 cycles
Thu Apr  9 17:55:31 2015  cycles contain 3034596 unique relations
Thu Apr  9 17:55:45 2015  read 3034596 relations
Thu Apr  9 17:55:47 2015  using 20 quadratic characters above 134217324
Thu Apr  9 17:55:57 2015  building initial matrix
Thu Apr  9 17:56:13 2015  memory use: 374.0 MB
Thu Apr  9 17:56:14 2015  read 898352 cycles
Thu Apr  9 17:56:14 2015  matrix is 898170 x 898352 (270.0 MB) with weight 81582402 (90.81/col)
Thu Apr  9 17:56:14 2015  sparse part has weight 60896973 (67.79/col)
Thu Apr  9 17:56:19 2015  filtering completed in 2 passes
Thu Apr  9 17:56:19 2015  matrix is 895750 x 895932 (269.8 MB) with weight 81488178 (90.95/col)
Thu Apr  9 17:56:19 2015  sparse part has weight 60860841 (67.93/col)
Thu Apr  9 17:56:21 2015  matrix starts at (0, 0)
Thu Apr  9 17:56:21 2015  matrix is 895750 x 895932 (269.8 MB) with weight 81488178 (90.95/col)
Thu Apr  9 17:56:21 2015  sparse part has weight 60860841 (67.93/col)
Thu Apr  9 17:56:21 2015  saving the first 48 matrix rows for later
Thu Apr  9 17:56:21 2015  matrix includes 64 packed rows
Thu Apr  9 17:56:21 2015  matrix is 895702 x 895932 (256.7 MB) with weight 64532260 (72.03/col)
Thu Apr  9 17:56:21 2015  sparse part has weight 58345824 (65.12/col)
Thu Apr  9 17:56:21 2015  using block size 65536 for processor cache size 8192 kB
Thu Apr  9 17:56:23 2015  commencing Lanczos iteration (8 threads)
Thu Apr  9 17:56:23 2015  memory use: 250.1 MB
Thu Apr  9 17:56:28 2015  linear algebra at 0.3%, ETA 0h24m
Thu Apr  9 18:19:37 2015  lanczos halted after 14166 iterations (dim = 895702)
Thu Apr  9 18:19:38 2015  recovered 37 nontrivial dependencies
Thu Apr  9 18:19:38 2015  BLanczosTime: 1448
Thu Apr  9 18:19:38 2015  
Thu Apr  9 18:19:38 2015  commencing square root phase
Thu Apr  9 18:19:38 2015  reading relations for dependency 1
Thu Apr  9 18:19:38 2015  read 447961 cycles
Thu Apr  9 18:19:39 2015  cycles contain 1517092 unique relations
Thu Apr  9 18:19:50 2015  read 1517092 relations
Thu Apr  9 18:19:53 2015  multiplying 1517092 relations
Thu Apr  9 18:20:26 2015  multiply complete, coefficients have about 43.01 million bits
Thu Apr  9 18:20:26 2015  initial square root is modulo 1497511
Thu Apr  9 18:21:03 2015  sqrtTime: 85
--
n: 8884781119955506862339547487712751564788804714241784894833615165513664389508804298849420844965761861327028600341198672359849789505688856119046836065980461558609843299
m: 10000000000000000000000000000000000
deg: 5
c5: 154
c0: -1
skew: 0.37
# Murphy_E = 2.411e-10
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovDecember 10, 2014 19:48:55 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 55 秒 (日本時間)
2350Ignacio SantosFebruary 22, 2015 13:31:56 UTC 2015 年 2 月 22 日 (日) 22 時 31 分 56 秒 (日本時間)

154×10172-19

c156

name 名前Jo Yeong Uk
date 日付May 3, 2015 01:11:36 UTC 2015 年 5 月 3 日 (日) 10 時 11 分 36 秒 (日本時間)
composite number 合成数
145265073749543089545682704084297922159803322747757354453981933828163354830416613105140425198769714068675556578723837194129991867225579703682427171190389071<156>
prime factors 素因数
1117809726631562548943744720973168024575051525448766428106183<61>
129955099055443641700778944344446370777911268029772351700756181034543388522740761164118208174137<96>
factorization results 素因数分解の結果
Number: 17111_172
N=145265073749543089545682704084297922159803322747757354453981933828163354830416613105140425198769714068675556578723837194129991867225579703682427171190389071
  ( 156 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=1117809726631562548943744720973168024575051525448766428106183
 r2=129955099055443641700778944344446370777911268029772351700756181034543388522740761164118208174137
Version: 
Total time: 33.70 hours.
Scaled time: 175.77 units (timescale=5.216).
Factorization parameters were as follows:
n: 145265073749543089545682704084297922159803322747757354453981933828163354830416613105140425198769714068675556578723837194129991867225579703682427171190389071
m: 20000000000000000000000000000000000
deg: 5
c5: 1925
c0: -4
skew: 0.29
# Murphy_E = 1.365e-10
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [3200000, 7400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 16352982
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1233877 x 1234125
Total sieving time: 30.25 hours.
Total relation processing time: 1.66 hours.
Matrix solve time: 1.70 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,52,52,2.4,2.4,100000
total time: 33.70 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.. 6800.18 BogoMIPS (lpj=3400094)
Total of 12 processors activated (81602.25 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 KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 7, 2014 10:33:39 UTC 2014 年 12 月 7 日 (日) 19 時 33 分 39 秒 (日本時間)
4511e6591 / 4413CypJanuary 25, 2015 23:03:07 UTC 2015 年 1 月 26 日 (月) 8 時 3 分 7 秒 (日本時間)

154×10177-19

c170

name 名前Jo Yeong Uk
date 日付July 25, 2015 12:53:34 UTC 2015 年 7 月 25 日 (土) 21 時 53 分 34 秒 (日本時間)
composite number 合成数
17087490884499068319483337778982508021465451181822514848787968166047533778646017156489506944277459991113335245554493433738226988823962870172080672105172737678917429080801<170>
prime factors 素因数
1482139829142138204061154551713639918239<40>
11528933065910049488828373551323702810514761644516061086867872790189322965287539139914523086355569277281229056307102202882050847359<131>
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 17087490884499068319483337778982508021465451181822514848787968166047533778646017156489506944277459991113335245554493433738226988823962870172080672105172737678917429080801 (170 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1009963719
Step 1 took 29361ms
Step 2 took 10009ms
********** Factor found in step 2: 1482139829142138204061154551713639918239
Found probable prime factor of 40 digits: 1482139829142138204061154551713639918239
Probable prime cofactor 11528933065910049488828373551323702810514761644516061086867872790189322965287539139914523086355569277281229056307102202882050847359 has 131 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 KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 6, 2014 22:43:06 UTC 2014 年 12 月 7 日 (日) 7 時 43 分 6 秒 (日本時間)
4511e6591 / 4413CypFebruary 7, 2015 16:45:05 UTC 2015 年 2 月 8 日 (日) 1 時 45 分 5 秒 (日本時間)

154×10178-19

c127

name 名前Cyp
date 日付December 8, 2014 19:09:00 UTC 2014 年 12 月 9 日 (火) 4 時 9 分 0 秒 (日本時間)
composite number 合成数
6638097974511811378314594081686863406110126337561891720721094966156963805652007795573114677333016142085568326491775940524228347<127>
prime factors 素因数
2204350912908091600147925818567<31>
3011361728135424514473979208725546181169093839428453965604714042809143787847889315863953441591341<97>
factorization results 素因数分解の結果
Run 34 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4290472685
Step 1 took 9578ms
Step 2 took 3777ms
********** Factor found in step 2: 2204350912908091600147925818567
Found probable prime factor of 31 digits: 2204350912908091600147925818567
Probable prime cofactor 3011361728135424514473979208725546181169093839428453965604714042809143787847889315863953441591341 has 97 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 809Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e634 / 2318CypDecember 8, 2014 19:08:59 UTC 2014 年 12 月 9 日 (火) 4 時 8 分 59 秒 (日本時間)

154×10179-19

c154

name 名前Jo Yeong Uk
date 日付December 28, 2015 01:39:06 UTC 2015 年 12 月 28 日 (月) 10 時 39 分 6 秒 (日本時間)
composite number 合成数
6299262103222589131292603323963182371507106369285460363859010123811611234692999353825953927529337881602970199309513002066894027438785159286077476562053747<154>
prime factors 素因数
696868722854805553433932649214272208352481606758223899853943986830286189<72>
9039381301856844989605546308642385227428868718400407346531308797636659086098422623<82>
factorization results 素因数分解の結果
Number: 17111_179
N=6299262103222589131292603323963182371507106369285460363859010123811611234692999353825953927529337881602970199309513002066894027438785159286077476562053747
  ( 154 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=696868722854805553433932649214272208352481606758223899853943986830286189
 r2=9039381301856844989605546308642385227428868718400407346531308797636659086098422623
Version: 
Total time: 53.20 hours.
Scaled time: 279.56 units (timescale=5.255).
Factorization parameters were as follows:
n: 6299262103222589131292603323963182371507106369285460363859010123811611234692999353825953927529337881602970199309513002066894027438785159286077476562053747
m: 1000000000000000000000000000000000000
deg: 5
c5: 77
c0: -5
skew: 0.58
# Murphy_E = 8.559e-11
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [2900000, 5400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17915535
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1370104 x 1370352
Total sieving time: 49.35 hours.
Total relation processing time: 1.16 hours.
Matrix solve time: 2.10 hours.
Time per square root: 0.58 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,53,53,2.5,2.5,100000
total time: 53.20 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 7, 2014 04:17:09 UTC 2014 年 12 月 7 日 (日) 13 時 17 分 9 秒 (日本時間)
4511e6600 / 4413KTakahashiMay 17, 2015 10:47:15 UTC 2015 年 5 月 17 日 (日) 19 時 47 分 15 秒 (日本時間)

154×10180-19

c172

name 名前Cyp
date 日付December 7, 2014 05:13:30 UTC 2014 年 12 月 7 日 (日) 14 時 13 分 30 秒 (日本時間)
composite number 合成数
1194933867519940114071067524972141980859216264926237623786418577461769657882122963992544157960003325839569632529507502495606327274926731489100340377625243720039431432435989<172>
prime factors 素因数
8900005186943387888733032512367<31>
134262154057275043032567696639331969384935709331480680527957366025254887322487377838203027857091244773784696371789916013810221735573210702267<141>
factorization results 素因数分解の結果
Run 44 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3110760632
Step 1 took 13528ms
Step 2 took 5078ms
********** Factor found in step 2: 8900005186943387888733032512367
Found probable prime factor of 31 digits: 8900005186943387888733032512367
Probable prime cofactor 134262154057275043032567696639331969384935709331480680527957366025254887322487377838203027857091244773784696371789916013810221735573210702267 has 141 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 781Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e644 / 2318CypDecember 7, 2014 05:13:29 UTC 2014 年 12 月 7 日 (日) 14 時 13 分 29 秒 (日本時間)

154×10182-19

c161

name 名前Jo Yeong Uk
date 日付March 29, 2016 02:02:39 UTC 2016 年 3 月 29 日 (火) 11 時 2 分 39 秒 (日本時間)
composite number 合成数
15730171304715246777525978904283144392810260515732834636732006480684449569933614702799115337791322111928395988064596908239224650763381187077538847670785413381139<161>
prime factors 素因数
54006258556582441135221848221529089051837470777796332412568740270027<68>
291265711144102341805557181241222831447187678766010756613944400197974402080806998444271184857<93>
factorization results 素因数分解の結果
Number: 17111_182
N=15730171304715246777525978904283144392810260515732834636732006480684449569933614702799115337791322111928395988064596908239224650763381187077538847670785413381139
  ( 161 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=54006258556582441135221848221529089051837470777796332412568740270027
 r2=291265711144102341805557181241222831447187678766010756613944400197974402080806998444271184857
Version: 
Total time: 80.74 hours.
Scaled time: 419.51 units (timescale=5.196).
Factorization parameters were as follows:
n: 15730171304715246777525978904283144392810260515732834636732006480684449569933614702799115337791322111928395988064596908239224650763381187077538847670785413381139
m: 2000000000000000000000000000000000000
deg: 5
c5: 1925
c0: -4
skew: 0.29
# Murphy_E = 5.4e-11
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
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: 54/54
Sieved rational special-q in [3300000, 7100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20553835
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1622730 x 1622977
Total sieving time: 75.31 hours.
Total relation processing time: 2.02 hours.
Matrix solve time: 3.27 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,54,54,2.5,2.5,100000
total time: 80.74 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49365468k/51380224k available (5397k kernel code, 1086460k absent, 928296k reserved, 7011k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.82 BogoMIPS (lpj=3399914)
Total of 12 processors activated (81597.93 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:48:56 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 56 秒 (日本時間)
4511e6600 / 4409KTakahashiMay 25, 2015 22:23:17 UTC 2015 年 5 月 26 日 (火) 7 時 23 分 17 秒 (日本時間)

154×10183-19

c129

name 名前Serge Batalov
date 日付December 9, 2014 01:37:04 UTC 2014 年 12 月 9 日 (火) 10 時 37 分 4 秒 (日本時間)
composite number 合成数
158922810524203946153445294448476602652545825248553349283013191769061258945576024023952683880377844840880335023208549211217375321<129>
prime factors 素因数
49418433532985624920961192355461<32>
composite cofactor 合成数の残り
3215860948286164576934865649446262140796868692955732367543178945299088195074778265627549776600261<97>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=240664646
Step 1 took 7650ms
Step 2 took 6846ms
********** Factor found in step 2: 49418433532985624920961192355461
Found probable prime factor of 32 digits: 49418433532985624920961192355461
Composite cofactor 

c97

name 名前Dmitry Domanov
date 日付December 9, 2014 15:57:02 UTC 2014 年 12 月 10 日 (水) 0 時 57 分 2 秒 (日本時間)
composite number 合成数
3215860948286164576934865649446262140796868692955732367543178945299088195074778265627549776600261<97>
prime factors 素因数
328714041553831347212869076639310868722327493<45>
9783156609571009386427971036120308435494245824338177<52>
factorization results 素因数分解の結果
N=3215860948286164576934865649446262140796868692955732367543178945299088195074778265627549776600261
  ( 97 digits)
Divisors found:
 r1=328714041553831347212869076639310868722327493 (pp45)
 r2=9783156609571009386427971036120308435494245824338177 (pp52)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 1.96 hours.
Scaled time: 4.11 units (timescale=2.097).
Factorization parameters were as follows:
n: 3215860948286164576934865649446262140796868692955732367543178945299088195074778265627549776600261
skew: 537069.66
c0: 152996174881285647206540505
c1: 287415242912014792853
c2: -6948202538863918
c3: -2510313226
c4: 9180
Y0: -136808737468179366541916
Y1: 874953711973
rlim: 1620000
alim: 1620000
lpbr: 25
lpba: 25
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 1620000/1620000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 50/50
Sieved algebraic special-q in [810000, 1050001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 187842 x 188074
Total sieving time: 1.79 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,96,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1620000,1620000,25,25,50,50,2.5,2.5,60000
total time: 1.96 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:23 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 23 秒 (日本時間)

154×10185-19

c185

name 名前Serge Batalov
date 日付December 8, 2014 19:39:27 UTC 2014 年 12 月 9 日 (火) 4 時 39 分 27 秒 (日本時間)
composite number 合成数
28051001821493624772313296903460837887067395264116575591985428051001821493624772313296903460837887067395264116575591985428051001821493624772313296903460837887067395264116575591985428051<185>
prime factors 素因数
20576758692664787658433969649834510743<38>
composite cofactor 合成数の残り
1363237147330364462109975324238980585867142170961687234257325212936967234085973394832254953223202747248345819860903681885375605427050603441389729957<148>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3220932110
Step 1 took 13815ms
Step 2 took 5280ms
********** Factor found in step 2: 20576758692664787658433969649834510743
Found probable prime factor of 38 digits: 20576758692664787658433969649834510743
Composite cofactor 

c148

name 名前Jo Yeong Uk
date 日付September 14, 2016 02:17:48 UTC 2016 年 9 月 14 日 (水) 11 時 17 分 48 秒 (日本時間)
composite number 合成数
1363237147330364462109975324238980585867142170961687234257325212936967234085973394832254953223202747248345819860903681885375605427050603441389729957<148>
prime factors 素因数
661053766512312183771258833173424436674931445060853344528163<60>
2062218258769990764331502821915087172128941593768439389061331624709807495783190993273239<88>
factorization results 素因数分解の結果
Number: 17111_185
N=1363237147330364462109975324238980585867142170961687234257325212936967234085973394832254953223202747248345819860903681885375605427050603441389729957
  ( 148 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=661053766512312183771258833173424436674931445060853344528163
 r2=2062218258769990764331502821915087172128941593768439389061331624709807495783190993273239
Version: 
Total time: 67.37 hours.
Scaled time: 353.78 units (timescale=5.251).
Factorization parameters were as follows:
n: 1363237147330364462109975324238980585867142170961687234257325212936967234085973394832254953223202747248345819860903681885375605427050603441389729957
m: 10000000000000000000000000000000000000
deg: 5
c5: 154
c0: -1
skew: 0.37
# Murphy_E = 5.976e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3700000, 6700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20043440
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1572633 x 1572881
Total sieving time: 62.35 hours.
Total relation processing time: 1.59 hours.
Matrix solve time: 3.11 hours.
Time per square root: 0.31 hours.
Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,54,54,2.5,2.5,100000
total time: 67.37 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49368528k/51380224k available (5398k kernel code, 1086460k absent, 925236k reserved, 7010k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62600280CypDecember 7, 2014 18:58:26 UTC 2014 年 12 月 8 日 (月) 3 時 58 分 26 秒 (日本時間)
2320Serge BatalovDecember 8, 2014 19:27:37 UTC 2014 年 12 月 9 日 (火) 4 時 27 分 37 秒 (日本時間)

154×10186-19

c179

name 名前Jo Yeong Uk
date 日付October 12, 2016 00:17:54 UTC 2016 年 10 月 12 日 (水) 9 時 17 分 54 秒 (日本時間)
composite number 合成数
54476201420348165617156646298435908064008414600656462493786737187142330684947685631803075363322596120019786506287993902700924724923190315861608217857237345305668582088466436983611<179>
prime factors 素因数
644056880253530563173737764870429723119907<42>
84582904228744228728948282454234841617913850804712480500188258370430218463962891909836149427968511963673608798596237311476591260793707273<137>
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 54476201420348165617156646298435908064008414600656462493786737187142330684947685631803075363322596120019786506287993902700924724923190315861608217857237345305668582088466436983611 (179 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1415851834
Step 1 took 34081ms
********** Factor found in step 1: 644056880253530563173737764870429723119907
Found probable prime factor of 42 digits: 644056880253530563173737764870429723119907
Probable prime cofactor 84582904228744228728948282454234841617913850804712480500188258370430218463962891909836149427968511963673608798596237311476591260793707273 has 137 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 KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:48:56 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 56 秒 (日本時間)
4511e6585 / 4409CypMay 23, 2015 00:29:02 UTC 2015 年 5 月 23 日 (土) 9 時 29 分 2 秒 (日本時間)

154×10188-19

c167

name 名前Cyp
date 日付December 9, 2014 03:46:08 UTC 2014 年 12 月 9 日 (火) 12 時 46 分 8 秒 (日本時間)
composite number 合成数
94272612990076758464802155959178946957469152651130621968206254110362436350326283077358249949695941408874636509485462209699541813381671580055995752823841445340010210799<167>
prime factors 素因数
27132352561153096440706326960719<32>
composite cofactor 合成数の残り
3474546218489439810935154495324455812437880851161841185650416112525900716137731394192391209676178152170164772424976927913137391905780321<136>
factorization results 素因数分解の結果
Run 223 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2220251567
Step 1 took 13535ms
Step 2 took 5060ms
********** Factor found in step 2: 27132352561153096440706326960719
Found probable prime factor of 32 digits: 27132352561153096440706326960719
Composite cofactor 3474546218489439810935154495324455812437880851161841185650416112525900716137731394192391209676178152170164772424976927913137391905780321 has 136 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

c136

name 名前Jo Yeong Uk
date 日付November 2, 2016 01:15:13 UTC 2016 年 11 月 2 日 (水) 10 時 15 分 13 秒 (日本時間)
composite number 合成数
3474546218489439810935154495324455812437880851161841185650416112525900716137731394192391209676178152170164772424976927913137391905780321<136>
prime factors 素因数
2861265178571378351289851810476148435051<40>
1214339112820109514066584348986464660938410700987617202428529292188340201346604773336167874556771<97>
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 3474546218489439810935154495324455812437880851161841185650416112525900716137731394192391209676178152170164772424976927913137391905780321 (136 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3602049938
Step 1 took 26051ms
Step 2 took 8501ms
********** Factor found in step 2: 2861265178571378351289851810476148435051
Found probable prime factor of 40 digits: 2861265178571378351289851810476148435051
Probable prime cofactor 1214339112820109514066584348986464660938410700987617202428529292188340201346604773336167874556771 has 97 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 KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 9, 2014 03:46:07 UTC 2014 年 12 月 9 日 (火) 12 時 46 分 7 秒 (日本時間)
4511e6591 / 4413CypMay 21, 2015 18:09:17 UTC 2015 年 5 月 22 日 (金) 3 時 9 分 17 秒 (日本時間)

154×10189-19

c160

name 名前Cyp
date 日付June 19, 2015 15:12:20 UTC 2015 年 6 月 20 日 (土) 0 時 12 分 20 秒 (日本時間)
composite number 合成数
5963376540099141820884823797830512470428043439407575630589160997999565441308525481140549414241834152495039058182512471474717459908295325122152099862507959288389<160>
prime factors 素因数
457793939105770325454415044467520470059<39>
composite cofactor 合成数の残り
13026333532828494445488483934474911028928359263336560461901935766952928134276207260102575489929339016155670574869974913871<122>
factorization results 素因数分解の結果
Run 163 out of 591:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1913136775
Step 1 took 50477ms
Step 2 took 16920ms
********** Factor found in step 2: 457793939105770325454415044467520470059
Found probable prime factor of 39 digits: 457793939105770325454415044467520470059
Composite cofactor 13026333532828494445488483934474911028928359263336560461901935766952928134276207260102575489929339016155670574869974913871 has 122 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

c122

name 名前Dmitry Domanov
date 日付June 21, 2015 15:02:08 UTC 2015 年 6 月 22 日 (月) 0 時 2 分 8 秒 (日本時間)
composite number 合成数
13026333532828494445488483934474911028928359263336560461901935766952928134276207260102575489929339016155670574869974913871<122>
prime factors 素因数
933201802851145050831100437167067856630271<42>
13958753072518789298309455697287998818496221407602535465851599495855422365351601<80>
factorization results 素因数分解の結果
N=13026333532828494445488483934474911028928359263336560461901935766952928134276207260102575489929339016155670574869974913871
  ( 122 digits)
Divisors found:
 r1=933201802851145050831100437167067856630271 (pp42)
 r2=13958753072518789298309455697287998818496221407602535465851599495855422365351601 (pp80)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 45.58 hours.
Scaled time: 58.66 units (timescale=1.287).
Factorization parameters were as follows:
n: 13026333532828494445488483934474911028928359263336560461901935766952928134276207260102575489929339016155670574869974913871
skew: 118174.36
c0: 8871470945152125141970575937
c1: 945256725129710097155223
c2: -4948772071281493049
c3: -366890459753739
c4: 459345544
c5: 3108
Y0: -334555472061804148490460
Y1: 2581676426603
rlim: 6100000
alim: 6100000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 160000
type: gnfs
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [3050000, 5450001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 655130 x 655358
Total sieving time: 44.92 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.44 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
gnfs,121,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6100000,6100000,27,27,54,54,2.5,2.5,100000
total time: 45.58 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 KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 9, 2014 12:16:54 UTC 2014 年 12 月 9 日 (火) 21 時 16 分 54 秒 (日本時間)
4511e6591 / 4413CypJune 19, 2015 15:12:19 UTC 2015 年 6 月 20 日 (土) 0 時 12 分 19 秒 (日本時間)

154×10190-19

c151

name 名前Jo Yeong Uk
date 日付November 7, 2016 02:14:22 UTC 2016 年 11 月 7 日 (月) 11 時 14 分 22 秒 (日本時間)
composite number 合成数
2398202314016560352623648054472074459389991288491793931487445233556070957040703224587827445132957718093516229902609630036992522197262424572012813689507<151>
prime factors 素因数
685010503879242074387959076910153820578979<42>
3500971591582091155276338264978384758575219759166365850670636680647487816787133454014583021378188807196600833<109>
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 2398202314016560352623648054472074459389991288491793931487445233556070957040703224587827445132957718093516229902609630036992522197262424572012813689507 (151 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1841622499
Step 1 took 24842ms
Step 2 took 8970ms
********** Factor found in step 2: 685010503879242074387959076910153820578979
Found probable prime factor of 42 digits: 685010503879242074387959076910153820578979
Probable prime cofactor 3500971591582091155276338264978384758575219759166365850670636680647487816787133454014583021378188807196600833 has 109 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 KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:48:57 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 57 秒 (日本時間)
4511e6585 / 4409CypFebruary 8, 2015 11:14:52 UTC 2015 年 2 月 8 日 (日) 20 時 14 分 52 秒 (日本時間)

154×10193-19

c141

name 名前Jo Yeong Uk
date 日付July 9, 2017 10:31:48 UTC 2017 年 7 月 9 日 (日) 19 時 31 分 48 秒 (日本時間)
composite number 合成数
159651162204548484934432024416655808050823239115462670353580997805936568821132042334444782566721664393303058997318982690389475622453484981651<141>
prime factors 素因数
233449533590104903181146484412525117598628409212771<51>
683878694248612244074207751852169475878767009450381615702545428481581101508962923942283281<90>
factorization results 素因数分解の結果
Number: 17111_193
N=159651162204548484934432024416655808050823239115462670353580997805936568821132042334444782566721664393303058997318982690389475622453484981651
  ( 141 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=233449533590104903181146484412525117598628409212771
 r2=683878694248612244074207751852169475878767009450381615702545428481581101508962923942283281
Version: 
Total time: 170.39 hours.
Scaled time: 869.00 units (timescale=5.100).
Factorization parameters were as follows:
n: 159651162204548484934432024416655808050823239115462670353580997805936568821132042334444782566721664393303058997318982690389475622453484981651
m: 200000000000000000000000000000000000000
deg: 5
c5: 9625
c0: -2
skew: 0.18
# Murphy_E = 2.02e-11
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6000000, 13100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 23581014
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2299543 x 2299789
Total sieving time: 157.12 hours.
Total relation processing time: 4.61 hours.
Matrix solve time: 8.46 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000
total time: 170.39 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367836k/51380224k available (5467k kernel code, 1086464k absent, 925924k reserved, 6954k data, 1316k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.09 BogoMIPS (lpj=3400049)
Total of 12 processors activated (81601.17 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 KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:48:57 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 57 秒 (日本時間)
4511e6585 / 4409CypJuly 29, 2015 16:08:38 UTC 2015 年 7 月 30 日 (木) 1 時 8 分 38 秒 (日本時間)

154×10195-19

c162

name 名前Serge Batalov
date 日付December 11, 2014 01:35:09 UTC 2014 年 12 月 11 日 (木) 10 時 35 分 9 秒 (日本時間)
composite number 合成数
486896123599470319010218570717241454536260956698403731179679419304730364008253005703322188755249511254807860717642781625556877715876639588164937057638899747790689<162>
prime factors 素因数
14808775364058079150987685314931<32>
composite cofactor 合成数の残り
32878891848221349040260716801257098503383418924394424341842770624448295478392175993162328149906178681670717893315055560938323597019<131>
factorization results 素因数分解の結果
Input number is 486896123599470319010218570717241454536260956698403731179679419304730364008253005703322188755249511254807860717642781625556877715876639588164937057638899747790689 (162 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2909011616
Step 1 took 10352ms
Step 2 took 7522ms
********** Factor found in step 2: 14808775364058079150987685314931
Found probable prime factor of 32 digits: 14808775364058079150987685314931
Composite cofactor 32878891848221349040260716801257098503383418924394424341842770624448295478392175993162328149906178681670717893315055560938323597019 has 131 digits

c131

name 名前Serge Batalov
date 日付December 18, 2014 04:26:02 UTC 2014 年 12 月 18 日 (木) 13 時 26 分 2 秒 (日本時間)
composite number 合成数
32878891848221349040260716801257098503383418924394424341842770624448295478392175993162328149906178681670717893315055560938323597019<131>
prime factors 素因数
61957044798378433796660151663003769385777<41>
530672370756486910778637873985220374712214103046468472362802440284506493822808736149401547<90>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=4205508892
Step 1 took 27922ms
********** Factor found in step 1: 61957044798378433796660151663003769385777
Found probable prime factor of 41 digits: 61957044798378433796660151663003769385777
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:48:58 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 58 秒 (日本時間)
4511e61000 / 4409Serge BatalovDecember 18, 2014 00:18:23 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 23 秒 (日本時間)

154×10196-19

c156

name 名前Cyp
date 日付January 23, 2015 15:46:41 UTC 2015 年 1 月 24 日 (土) 0 時 46 分 41 秒 (日本時間)
composite number 合成数
584144325827201547027152160049557120468570028399099165893332508653855029048740891776341796809910744798898290510768843189707604962068889932749818585202635729<156>
prime factors 素因数
3007548242642213688165878273374447<34>
composite cofactor 合成数の残り
194226086732366002569588585393033139314071264385160797856908894875600186193003696833939975478835384461029924229119992831807<123>
factorization results 素因数分解の結果
Run 192 out of 591:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2448577289
Step 1 took 50378ms
Step 2 took 16564ms
********** Factor found in step 2: 3007548242642213688165878273374447
Found probable prime factor of 34 digits: 3007548242642213688165878273374447
Composite cofactor 194226086732366002569588585393033139314071264385160797856908894875600186193003696833939975478835384461029924229119992831807 has 123 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

c123

name 名前Erik Branger
date 日付January 29, 2015 13:23:25 UTC 2015 年 1 月 29 日 (木) 22 時 23 分 25 秒 (日本時間)
composite number 合成数
194226086732366002569588585393033139314071264385160797856908894875600186193003696833939975478835384461029924229119992831807<123>
prime factors 素因数
5257228761749803906591396956707711049601<40>
36944575846785149106869331708592955947643591527052015566825078854854492535315324607<83>
factorization results 素因数分解の結果
Number: 17111_196
N = 194226086732366002569588585393033139314071264385160797856908894875600186193003696833939975478835384461029924229119992831807 (123 digits)
Divisors found:
r1=5257228761749803906591396956707711049601 (pp40)
r2=36944575846785149106869331708592955947643591527052015566825078854854492535315324607 (pp83)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 22.18 hours.
Factorization parameters were as follows:
# Murphy_E = 2.139e-10, selected by Erik Branger
# expecting poly E from 2.44e-010 to > 2.81e-010
n: 194226086732366002569588585393033139314071264385160797856908894875600186193003696833939975478835384461029924229119992831807
Y0: -344617138627996098626409
Y1: 4051757166857
c0: -11152076757120401042373779248
c1: -2293593697989742124321568
c2: 13350272341749289166
c3: 9901679562317853
c4: -17844594988
c5: 39960
skew: 45648.31
type: gnfs
# selected mechanically
rlim: 6100000
alim: 6100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10206136
Relations: 1496758 relations
Pruned matrix : 865590 x 865817
Polynomial selection time: 0.00 hours.
Total sieving time: 21.63 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.46 hours.
time per square root: 0.04 hours.
Prototype def-par.txt line would be: gnfs,122,5,65,2000,1e-05,0.28,250,20,50000,3600,6100000,6100000,27,27,52,52,2.5,2.5,100000
total time: 22.18 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 KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 9, 2014 22:32:38 UTC 2014 年 12 月 10 日 (水) 7 時 32 分 38 秒 (日本時間)
4511e6591 / 4413CypJanuary 23, 2015 15:46:40 UTC 2015 年 1 月 24 日 (土) 0 時 46 分 40 秒 (日本時間)

154×10198-19

c167

name 名前Serge Batalov
date 日付December 11, 2014 01:35:13 UTC 2014 年 12 月 11 日 (木) 10 時 35 分 13 秒 (日本時間)
composite number 合成数
38989841466346774008407227261343386403565507428175414874103865094978348055380651227445595332047847742787754573245679089722863108860230810924275445869549075876730499227<167>
prime factors 素因数
2465565899387407752574011123070919309<37>
composite cofactor 合成数の残り
15813749482840492863862228995638391373604417752793165058849944037303874278654075269161996677026437907294501711222750831275593525703<131>
factorization results 素因数分解の結果
Input number is 38989841466346774008407227261343386403565507428175414874103865094978348055380651227445595332047847742787754573245679089722863108860230810924275445869549075876730499227 (167 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1541219371
Step 1 took 11003ms
Step 2 took 8295ms
********** Factor found in step 2: 2465565899387407752574011123070919309
Found probable prime factor of 37 digits: 2465565899387407752574011123070919309
Composite cofactor 15813749482840492863862228995638391373604417752793165058849944037303874278654075269161996677026437907294501711222750831275593525703 has 131 digits

c131

name 名前Erik Branger
date 日付February 27, 2015 23:34:56 UTC 2015 年 2 月 28 日 (土) 8 時 34 分 56 秒 (日本時間)
composite number 合成数
15813749482840492863862228995638391373604417752793165058849944037303874278654075269161996677026437907294501711222750831275593525703<131>
prime factors 素因数
2422722557577078515482063944919018086537249133<46>
6527263897132134186814171663549643557782417474477421938699221751407154452910816316291<85>
factorization results 素因数分解の結果
Number: 17111_198
N = 15813749482840492863862228995638391373604417752793165058849944037303874278654075269161996677026437907294501711222750831275593525703 (131 digits)
Divisors found:
r1=2422722557577078515482063944919018086537249133 (pp46)
r2=6527263897132134186814171663549643557782417474477421938699221751407154452910816316291 (pp85)
Version: Msieve v. 1.52 (SVN 958)
Total time: 53.84 hours.
Factorization parameters were as follows:
# Murphy_E = 7.315e-11, selected by Erik Branger
# expecting poly E from 8.08e-011 to > 9.30e-011
n: 15813749482840492863862228995638391373604417752793165058849944037303874278654075269161996677026437907294501711222750831275593525703
Y0: -22188989706852902718266040
Y1: 8821586493289
c0: -87155315875247631370838759912513
c1: -16073397634859908559494554
c2: 5617395300015281735329
c3: -2652761507757519
c4: -2032425233
c5: 2940
skew: 723345.6
type: gnfs
# selected mechanically
rlim: 9900000
alim: 9900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19154172
Relations: 2697676 relations
Pruned matrix : 1554292 x 1554523
Polynomial selection time: 0.00 hours.
Total sieving time: 52.28 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.03 hours.
time per square root: 0.44 hours.
Prototype def-par.txt line would be: gnfs,130,5,65,2000,1e-05,0.28,250,20,50000,3600,9900000,9900000,28,28,54,54,2.6,2.6,100000
total time: 53.84 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 KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:48:58 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 58 秒 (日本時間)
4511e61000 / 4409Serge BatalovDecember 18, 2014 00:18:23 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 23 秒 (日本時間)

154×10199-19

c181

name 名前Cyp
date 日付May 22, 2015 19:27:21 UTC 2015 年 5 月 23 日 (土) 4 時 27 分 21 秒 (日本時間)
composite number 合成数
1747593714137532704865556762736119800419556308750987912623464324317548427831081531340770672776859665509155425868522033054851714273026189150217732196804315470855643305118591964208823<181>
prime factors 素因数
4453841896111212170510982656536015961<37>
392378929225891720446371699561479425038277622834585832304660418704878131694309562411517317742050959452207204276550728259559730501687952252422543<144>
factorization results 素因数分解の結果
Run 125 out of 591:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1219159085
Step 1 took 59332ms
Step 2 took 18797ms
********** Factor found in step 2: 4453841896111212170510982656536015961
Found probable prime factor of 37 digits: 4453841896111212170510982656536015961
Probable prime cofactor 392378929225891720446371699561479425038277622834585832304660418704878131694309562411517317742050959452207204276550728259559730501687952252422543 has 144 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 KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280 / 1887CypDecember 9, 2014 10:30:05 UTC 2014 年 12 月 9 日 (火) 19 時 30 分 5 秒 (日本時間)
4511e6125 / 4413CypMay 22, 2015 19:27:21 UTC 2015 年 5 月 23 日 (土) 4 時 27 分 21 秒 (日本時間)

154×10200-19

c183

name 名前Jo Yeong Uk
date 日付July 24, 2018 02:58:27 UTC 2018 年 7 月 24 日 (火) 11 時 58 分 27 秒 (日本時間)
composite number 合成数
830762827811387556253070282036542947750296656952723469758640746097836891662456871591962763227808517258250868232275546776709559204620573313805855607800795903398664136018014608853446419<183>
prime factors 素因数
119984949504906986204759672370120459131439160141887709<54>
6923891965111941926491535876072566975016657085308297625484878229568008624769352819437043047880509715914098717328921293326714966191<130>
factorization results 素因数分解の結果
Number: 17111_200
N=830762827811387556253070282036542947750296656952723469758640746097836891662456871591962763227808517258250868232275546776709559204620573313805855607800795903398664136018014608853446419
  ( 183 digits)
SNFS difficulty: 202 digits.
Divisors found:
 r1=119984949504906986204759672370120459131439160141887709
 r2=6923891965111941926491535876072566975016657085308297625484878229568008624769352819437043047880509715914098717328921293326714966191
Version: 
Total time: 215.35 hours.
Scaled time: 1131.25 units (timescale=5.253).
Factorization parameters were as follows:
n: 830762827811387556253070282036542947750296656952723469758640746097836891662456871591962763227808517258250868232275546776709559204620573313805855607800795903398664136018014608853446419
m: 10000000000000000000000000000000000000000
deg: 5
c5: 154
c0: -1
skew: 0.37
# Murphy_E = 1.425e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8000000, 16000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 37980850
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3163504 x 3163749
Total sieving time: 194.01 hours.
Total relation processing time: 2.79 hours.
Matrix solve time: 18.30 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000
total time: 215.35 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 8, 2014 08:25:23 UTC 2014 年 12 月 8 日 (月) 17 時 25 分 23 秒 (日本時間)
4511e6591 / 4413CypJuly 3, 2015 09:32:54 UTC 2015 年 7 月 3 日 (金) 18 時 32 分 54 秒 (日本時間)

154×10202-19

c179

name 名前Bob Backstrom
date 日付October 8, 2021 08:03:56 UTC 2021 年 10 月 8 日 (金) 17 時 3 分 56 秒 (日本時間)
composite number 合成数
10381896826967856898616291699939928056933102916416088726600768329239982808175670399614563529800824140952184001173112313851612895120684743115422182085598719941524243117282203561337<179>
prime factors 素因数
34425660203597160431367870128163764058318478217<47>
301574371139672304777992722658777146584383638515492820655463054980659723114986570221131733481957998530783094114693677211099457525361<132>
factorization results 素因数分解の結果
Number: n
N=10381896826967856898616291699939928056933102916416088726600768329239982808175670399614563529800824140952184001173112313851612895120684743115422182085598719941524243117282203561337  ( 179 digits)
SNFS difficulty: 204 digits.
Divisors found:

Fri Oct  8 18:53:24 2021  p47 factor: 34425660203597160431367870128163764058318478217
Fri Oct  8 18:53:24 2021  p132 factor: 301574371139672304777992722658777146584383638515492820655463054980659723114986570221131733481957998530783094114693677211099457525361
Fri Oct  8 18:53:24 2021  elapsed time 02:17:30 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 154x10^202-1 = 171(202)
#
n: 10381896826967856898616291699939928056933102916416088726600768329239982808175670399614563529800824140952184001173112313851612895120684743115422182085598719941524243117282203561337
m: 10000000000000000000000000000000000000000
deg: 5
c5: 15400
c0: -1
skew: 0.15
# Murphy_E = 8.027e-12
type: snfs
lss: 1
rlim: 17700000
alim: 17700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17700000/17700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 43250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10287982 hash collisions in 68183294 relations (59140260 unique)
Msieve: matrix is 2463584 x 2463811 (843.7 MB)

Sieving start time : 2021/10/07 23:30:13
Sieving end time  : 2021/10/08 16:34:17

Total sieving time: 17hrs 4min 4secs.

Total relation processing time: 1hrs 57min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 28sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,17700000,17700000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118347] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239960K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487276K reserved, 0K cma-reserved)
[    0.154098] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.48 BogoMIPS (lpj=12798968)
[    0.150212] smpboot: Total of 16 processors activated (102391.74 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:48:58 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 58 秒 (日本時間)
4511e6585 / 4409CypJuly 29, 2015 18:43:12 UTC 2015 年 7 月 30 日 (木) 3 時 43 分 12 秒 (日本時間)

154×10204-19

c143

name 名前Cyp
date 日付December 8, 2014 20:06:43 UTC 2014 年 12 月 9 日 (火) 5 時 6 分 43 秒 (日本時間)
composite number 合成数
13831058180271090910663642607083285021560118270250652676668332607071903241375801279961456736782798565834448465501561300544033421624805380449297<143>
prime factors 素因数
85288554163535880134283272052197<32>
composite cofactor 合成数の残り
162167811565322529877549815666897803954864920651110706646754776521236499481368232851213369934156699834995354301<111>
factorization results 素因数分解の結果
Run 80 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1342771289
Step 1 took 11424ms
Step 2 took 4359ms
********** Factor found in step 2: 85288554163535880134283272052197
Found probable prime factor of 32 digits: 85288554163535880134283272052197
Composite cofactor 162167811565322529877549815666897803954864920651110706646754776521236499481368232851213369934156699834995354301 has 111 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

c111

name 名前Cyp
date 日付December 11, 2014 06:28:13 UTC 2014 年 12 月 11 日 (木) 15 時 28 分 13 秒 (日本時間)
composite number 合成数
162167811565322529877549815666897803954864920651110706646754776521236499481368232851213369934156699834995354301<111>
prime factors 素因数
734161427852153690892565884034227907779703461535238041<54>
220888493202042859600864789252948616219579005754278961861<57>
factorization results 素因数分解の結果
12/11/14 05:40:39 v1.34.3, 
12/11/14 05:40:39 v1.34.3, ****************************
12/11/14 05:40:39 v1.34.3, Starting factorization of 162167811565322529877549815666897803954864920651110706646754776521236499481368232851213369934156699834995354301
12/11/14 05:40:39 v1.34.3, using pretesting plan: none
12/11/14 05:40:39 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/11/14 05:40:39 v1.34.3, ****************************
12/11/14 05:40:39 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C111
12/11/14 05:40:39 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C111
12/11/14 05:40:39 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C111
12/11/14 05:40:39 v1.34.3, final ECM pretested depth: 0.00
12/11/14 05:40:39 v1.34.3, scheduler: switching to sieve method
12/11/14 05:40:39 v1.34.3, nfs: commencing nfs on c111: 162167811565322529877549815666897803954864920651110706646754776521236499481368232851213369934156699834995354301
12/11/14 05:40:39 v1.34.3, nfs: commencing poly selection with 8 threads
12/11/14 05:40:39 v1.34.3, nfs: setting deadline of 500 seconds
12/11/14 05:48:57 v1.34.3, nfs: completed 155 ranges of size 250 in 497.6809 seconds
12/11/14 05:48:57 v1.34.3, nfs: best poly = # norm 1.782501e-10 alpha -7.486526 e 9.495e-10 rroots 5
12/11/14 05:48:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 05:54:18 v1.34.3, nfs: commencing lattice sieving with 8 threads
[9 lines snipped]
12/11/14 06:47:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 06:53:21 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 06:59:23 v1.34.3, nfs: commencing msieve filtering
12/11/14 07:00:20 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 07:06:23 v1.34.3, nfs: commencing msieve filtering
12/11/14 07:07:17 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 07:13:19 v1.34.3, nfs: commencing msieve filtering
12/11/14 07:14:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 07:20:08 v1.34.3, nfs: commencing msieve filtering
12/11/14 07:21:25 v1.34.3, nfs: commencing msieve linear algebra
12/11/14 07:27:12 v1.34.3, nfs: commencing msieve sqrt
12/11/14 07:28:12 v1.34.3, prp57 = 220888493202042859600864789252948616219579005754278961861
12/11/14 07:28:12 v1.34.3, prp54 = 734161427852153690892565884034227907779703461535238041
12/11/14 07:28:12 v1.34.3, NFS elapsed time = 6452.4546 seconds.
12/11/14 07:28:12 v1.34.3, 
12/11/14 07:28:12 v1.34.3, 
12/11/14 07:28:12 v1.34.3, Total factoring time = 6452.4772 seconds
--
Thu Dec 11 06:59:23 2014  
Thu Dec 11 06:59:23 2014  commencing relation filtering
Thu Dec 11 06:59:23 2014  estimated available RAM is 15987.3 MB
Thu Dec 11 06:59:23 2014  commencing duplicate removal, pass 1
Thu Dec 11 06:59:38 2014  found 404575 hash collisions in 4546281 relations
Thu Dec 11 06:59:44 2014  added 32670 free relations
Thu Dec 11 06:59:44 2014  commencing duplicate removal, pass 2
Thu Dec 11 06:59:48 2014  found 161030 duplicates and 4417921 unique relations
Thu Dec 11 06:59:48 2014  memory use: 19.6 MB
Thu Dec 11 06:59:48 2014  reading ideals above 100000
Thu Dec 11 06:59:48 2014  commencing singleton removal, initial pass
Thu Dec 11 07:00:14 2014  memory use: 172.2 MB
Thu Dec 11 07:00:14 2014  reading all ideals from disk
Thu Dec 11 07:00:14 2014  memory use: 147.8 MB
Thu Dec 11 07:00:14 2014  keeping 5374748 ideals with weight <= 200, target excess is 23872
Thu Dec 11 07:00:14 2014  commencing in-memory singleton removal
Thu Dec 11 07:00:15 2014  begin with 4417921 relations and 5374748 unique ideals
Thu Dec 11 07:00:20 2014  reduce to 73 relations and 0 ideals in 160 passes
Thu Dec 11 07:00:20 2014  max relations containing the same ideal: 0
Thu Dec 11 07:06:23 2014  
Thu Dec 11 07:06:23 2014  commencing relation filtering
Thu Dec 11 07:06:23 2014  estimated available RAM is 15987.3 MB
Thu Dec 11 07:06:23 2014  commencing duplicate removal, pass 1
Thu Dec 11 07:06:40 2014  found 466610 hash collisions in 4928380 relations
Thu Dec 11 07:06:45 2014  added 71 free relations
Thu Dec 11 07:06:45 2014  commencing duplicate removal, pass 2
Thu Dec 11 07:06:49 2014  found 184873 duplicates and 4743578 unique relations
Thu Dec 11 07:06:49 2014  memory use: 20.6 MB
Thu Dec 11 07:06:49 2014  reading ideals above 100000
Thu Dec 11 07:06:49 2014  commencing singleton removal, initial pass
Thu Dec 11 07:07:12 2014  memory use: 172.2 MB
Thu Dec 11 07:07:12 2014  reading all ideals from disk
Thu Dec 11 07:07:12 2014  memory use: 158.8 MB
Thu Dec 11 07:07:13 2014  keeping 5532501 ideals with weight <= 200, target excess is 24994
Thu Dec 11 07:07:13 2014  commencing in-memory singleton removal
Thu Dec 11 07:07:14 2014  begin with 4743578 relations and 5532501 unique ideals
Thu Dec 11 07:07:17 2014  reduce to 1246111 relations and 1337961 ideals in 26 passes
Thu Dec 11 07:07:17 2014  max relations containing the same ideal: 77
Thu Dec 11 07:13:19 2014  
Thu Dec 11 07:13:19 2014  commencing relation filtering
Thu Dec 11 07:13:19 2014  estimated available RAM is 15987.3 MB
Thu Dec 11 07:13:19 2014  commencing duplicate removal, pass 1
Thu Dec 11 07:13:38 2014  found 526512 hash collisions in 5270879 relations
Thu Dec 11 07:13:43 2014  added 56 free relations
Thu Dec 11 07:13:43 2014  commencing duplicate removal, pass 2
Thu Dec 11 07:13:48 2014  found 209419 duplicates and 5061516 unique relations
Thu Dec 11 07:13:48 2014  memory use: 20.6 MB
Thu Dec 11 07:13:48 2014  reading ideals above 100000
Thu Dec 11 07:13:48 2014  commencing singleton removal, initial pass
Thu Dec 11 07:14:15 2014  memory use: 172.2 MB
Thu Dec 11 07:14:16 2014  reading all ideals from disk
Thu Dec 11 07:14:16 2014  memory use: 169.5 MB
Thu Dec 11 07:14:16 2014  keeping 5675154 ideals with weight <= 200, target excess is 26299
Thu Dec 11 07:14:17 2014  commencing in-memory singleton removal
Thu Dec 11 07:14:17 2014  begin with 5061516 relations and 5675154 unique ideals
Thu Dec 11 07:14:19 2014  reduce to 1710314 relations and 1707075 ideals in 20 passes
Thu Dec 11 07:14:19 2014  max relations containing the same ideal: 96
Thu Dec 11 07:20:08 2014  
Thu Dec 11 07:20:08 2014  commencing relation filtering
Thu Dec 11 07:20:08 2014  estimated available RAM is 15987.3 MB
Thu Dec 11 07:20:08 2014  commencing duplicate removal, pass 1
Thu Dec 11 07:20:28 2014  found 588895 hash collisions in 5612146 relations
Thu Dec 11 07:20:33 2014  added 44 free relations
Thu Dec 11 07:20:33 2014  commencing duplicate removal, pass 2
Thu Dec 11 07:20:38 2014  found 235002 duplicates and 5377188 unique relations
Thu Dec 11 07:20:38 2014  memory use: 20.6 MB
Thu Dec 11 07:20:38 2014  reading ideals above 100000
Thu Dec 11 07:20:38 2014  commencing singleton removal, initial pass
Thu Dec 11 07:21:05 2014  memory use: 172.2 MB
Thu Dec 11 07:21:05 2014  reading all ideals from disk
Thu Dec 11 07:21:05 2014  memory use: 180.1 MB
Thu Dec 11 07:21:06 2014  keeping 5806016 ideals with weight <= 200, target excess is 27761
Thu Dec 11 07:21:06 2014  commencing in-memory singleton removal
Thu Dec 11 07:21:06 2014  begin with 5377188 relations and 5806016 unique ideals
Thu Dec 11 07:21:09 2014  reduce to 2148855 relations and 2029665 ideals in 21 passes
Thu Dec 11 07:21:09 2014  max relations containing the same ideal: 111
Thu Dec 11 07:21:10 2014  removing 354934 relations and 311440 ideals in 43494 cliques
Thu Dec 11 07:21:10 2014  commencing in-memory singleton removal
Thu Dec 11 07:21:10 2014  begin with 1793921 relations and 2029665 unique ideals
Thu Dec 11 07:21:11 2014  reduce to 1744283 relations and 1667213 ideals in 9 passes
Thu Dec 11 07:21:11 2014  max relations containing the same ideal: 94
Thu Dec 11 07:21:11 2014  removing 267772 relations and 224278 ideals in 43494 cliques
Thu Dec 11 07:21:11 2014  commencing in-memory singleton removal
Thu Dec 11 07:21:12 2014  begin with 1476511 relations and 1667213 unique ideals
Thu Dec 11 07:21:12 2014  reduce to 1440811 relations and 1406297 ideals in 9 passes
Thu Dec 11 07:21:12 2014  max relations containing the same ideal: 83
Thu Dec 11 07:21:13 2014  relations with 0 large ideals: 79
Thu Dec 11 07:21:13 2014  relations with 1 large ideals: 195
Thu Dec 11 07:21:13 2014  relations with 2 large ideals: 3028
Thu Dec 11 07:21:13 2014  relations with 3 large ideals: 26379
Thu Dec 11 07:21:13 2014  relations with 4 large ideals: 117084
Thu Dec 11 07:21:13 2014  relations with 5 large ideals: 292977
Thu Dec 11 07:21:13 2014  relations with 6 large ideals: 427542
Thu Dec 11 07:21:13 2014  relations with 7+ large ideals: 573527
Thu Dec 11 07:21:13 2014  commencing 2-way merge
Thu Dec 11 07:21:13 2014  reduce to 821836 relation sets and 787323 unique ideals
Thu Dec 11 07:21:13 2014  ignored 1 oversize relation sets
Thu Dec 11 07:21:13 2014  commencing full merge
Thu Dec 11 07:21:22 2014  memory use: 88.2 MB
Thu Dec 11 07:21:22 2014  found 398870 cycles, need 393523
Thu Dec 11 07:21:22 2014  weight of 393523 cycles is about 27840773 (70.75/cycle)
Thu Dec 11 07:21:22 2014  distribution of cycle lengths:
Thu Dec 11 07:21:22 2014  1 relations: 43473
Thu Dec 11 07:21:22 2014  2 relations: 42547
Thu Dec 11 07:21:22 2014  3 relations: 42555
Thu Dec 11 07:21:22 2014  4 relations: 39344
Thu Dec 11 07:21:22 2014  5 relations: 35961
Thu Dec 11 07:21:22 2014  6 relations: 30644
Thu Dec 11 07:21:22 2014  7 relations: 27161
Thu Dec 11 07:21:22 2014  8 relations: 24007
Thu Dec 11 07:21:22 2014  9 relations: 20574
Thu Dec 11 07:21:22 2014  10+ relations: 87257
Thu Dec 11 07:21:22 2014  heaviest cycle: 22 relations
Thu Dec 11 07:21:22 2014  commencing cycle optimization
Thu Dec 11 07:21:22 2014  start with 2485987 relations
Thu Dec 11 07:21:25 2014  pruned 53190 relations
Thu Dec 11 07:21:25 2014  memory use: 82.8 MB
Thu Dec 11 07:21:25 2014  distribution of cycle lengths:
Thu Dec 11 07:21:25 2014  1 relations: 43473
Thu Dec 11 07:21:25 2014  2 relations: 43443
Thu Dec 11 07:21:25 2014  3 relations: 43892
Thu Dec 11 07:21:25 2014  4 relations: 40213
Thu Dec 11 07:21:25 2014  5 relations: 36579
Thu Dec 11 07:21:25 2014  6 relations: 31115
Thu Dec 11 07:21:25 2014  7 relations: 27417
Thu Dec 11 07:21:25 2014  8 relations: 24054
Thu Dec 11 07:21:25 2014  9 relations: 20484
Thu Dec 11 07:21:25 2014  10+ relations: 82853
Thu Dec 11 07:21:25 2014  heaviest cycle: 22 relations
Thu Dec 11 07:21:25 2014  RelProcTime: 77
Thu Dec 11 07:21:25 2014  
Thu Dec 11 07:21:25 2014  commencing linear algebra
Thu Dec 11 07:21:25 2014  read 393523 cycles
Thu Dec 11 07:21:26 2014  cycles contain 1388073 unique relations
Thu Dec 11 07:21:33 2014  read 1388073 relations
Thu Dec 11 07:21:34 2014  using 20 quadratic characters above 67108670
Thu Dec 11 07:21:38 2014  building initial matrix
Thu Dec 11 07:21:48 2014  memory use: 174.9 MB
Thu Dec 11 07:21:48 2014  read 393523 cycles
Thu Dec 11 07:21:48 2014  matrix is 393345 x 393523 (120.2 MB) with weight 38517447 (97.88/col)
Thu Dec 11 07:21:48 2014  sparse part has weight 26794871 (68.09/col)
Thu Dec 11 07:21:50 2014  filtering completed in 2 passes
Thu Dec 11 07:21:50 2014  matrix is 392580 x 392758 (120.1 MB) with weight 38481607 (97.98/col)
Thu Dec 11 07:21:50 2014  sparse part has weight 26783088 (68.19/col)
Thu Dec 11 07:21:51 2014  matrix starts at (0, 0)
Thu Dec 11 07:21:51 2014  matrix is 392580 x 392758 (120.1 MB) with weight 38481607 (97.98/col)
Thu Dec 11 07:21:51 2014  sparse part has weight 26783088 (68.19/col)
Thu Dec 11 07:21:51 2014  saving the first 48 matrix rows for later
Thu Dec 11 07:21:51 2014  matrix includes 64 packed rows
Thu Dec 11 07:21:51 2014  matrix is 392532 x 392758 (115.9 MB) with weight 30745010 (78.28/col)
Thu Dec 11 07:21:51 2014  sparse part has weight 26442689 (67.33/col)
Thu Dec 11 07:21:51 2014  using block size 65536 for processor cache size 8192 kB
Thu Dec 11 07:21:52 2014  commencing Lanczos iteration (8 threads)
Thu Dec 11 07:21:52 2014  memory use: 109.2 MB
Thu Dec 11 07:22:02 2014  linear algebra at 3.1%, ETA 0h 5m
Thu Dec 11 07:27:11 2014  lanczos halted after 6209 iterations (dim = 392529)
Thu Dec 11 07:27:12 2014  recovered 26 nontrivial dependencies
Thu Dec 11 07:27:12 2014  BLanczosTime: 347
Thu Dec 11 07:27:12 2014  
Thu Dec 11 07:27:12 2014  commencing square root phase
Thu Dec 11 07:27:12 2014  reading relations for dependency 1
Thu Dec 11 07:27:12 2014  read 197195 cycles
Thu Dec 11 07:27:12 2014  cycles contain 695858 unique relations
Thu Dec 11 07:27:18 2014  read 695858 relations
Thu Dec 11 07:27:20 2014  multiplying 695858 relations
Thu Dec 11 07:27:42 2014  multiply complete, coefficients have about 28.72 million bits
Thu Dec 11 07:27:42 2014  initial square root is modulo 177306757
Thu Dec 11 07:28:12 2014  sqrtTime: 60
--
n: 162167811565322529877549815666897803954864920651110706646754776521236499481368232851213369934156699834995354301
skew: 132996.51
c0: 6590040690228294971272305600
c1: 1052084424534614198178840
c2: -3215348849570699250
c3: -225767496860581
c4: 207830896
c5: 2280
Y0: -2346419858987181349217
Y1: 69986796139
rlim: 3460000
alim: 3460000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280 / 2318CypDecember 8, 2014 20:06:42 UTC 2014 年 12 月 9 日 (火) 5 時 6 分 42 秒 (日本時間)

154×10205-19

c184

name 名前Bob Backstrom
date 日付October 24, 2021 14:39:08 UTC 2021 年 10 月 24 日 (日) 23 時 39 分 8 秒 (日本時間)
composite number 合成数
1103850798325273334798118039375842206355736432966491204033603175493437087291725192613161903977360369002688534009181220705420832527973559039538885286669514657684427356413372801023828527<184>
prime factors 素因数
17598493307099316310298116721628585359541801911571467678574603649447079906959<77>
62724165021557535667598543925594812498204586155108286966326002410775512956509786859582410972020139279008353<107>
factorization results 素因数分解の結果
Number: n
N=1103850798325273334798118039375842206355736432966491204033603175493437087291725192613161903977360369002688534009181220705420832527973559039538885286669514657684427356413372801023828527  ( 184 digits)
SNFS difficulty: 207 digits.
Divisors found:

Mon Oct 25 01:30:49 2021  p77 factor: 17598493307099316310298116721628585359541801911571467678574603649447079906959
Mon Oct 25 01:30:49 2021  p107 factor: 62724165021557535667598543925594812498204586155108286966326002410775512956509786859582410972020139279008353
Mon Oct 25 01:30:49 2021  elapsed time 01:51:50 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 154×10205-1 = 17(1)205
#
n: 1103850798325273334798118039375842206355736432966491204033603175493437087291725192613161903977360369002688534009181220705420832527973559039538885286669514657684427356413372801023828527
m: 100000000000000000000000000000000000000000
deg: 5
c5: 154
c0: -1
skew: 0.37
# Murphy_E = 8.765e-12
type: snfs
lss: 1
rlim: 19900000
alim: 19900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19900000/19900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 37150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9280572 hash collisions in 63764218 relations (56991765 unique)
Msieve: matrix is 2186937 x 2187163 (760.5 MB)

Sieving start time : 2021/10/24 10:10:27
Sieving end time  : 2021/10/24 23:37:47

Total sieving time: 13hrs 27min 20secs.

Total relation processing time: 1hrs 33min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 38sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,19900000,19900000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118892] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487280K reserved, 0K cma-reserved)
[    0.152618] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.150210] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 10, 2014 20:11:38 UTC 2014 年 12 月 11 日 (木) 5 時 11 分 38 秒 (日本時間)
4511e6591 / 4413CypJuly 29, 2015 17:31:40 UTC 2015 年 7 月 30 日 (木) 2 時 31 分 40 秒 (日本時間)

154×10206-19

c175

name 名前Serge Batalov
date 日付December 11, 2014 01:35:16 UTC 2014 年 12 月 11 日 (木) 10 時 35 分 16 秒 (日本時間)
composite number 合成数
1298669993964874191184382613945577172892342152655773723610725562114913684557857033314791365611926111043243886995365053208739406246737058479698081329760041394382035019089249527<175>
prime factors 素因数
98697975686710186565600843003<29>
13158020566573199025399337766493853185074569307320289819674873783728277586980890850548600654678232564621663383516830382998313758051238848006387509<146>
factorization results 素因数分解の結果
Input number is 1298669993964874191184382613945577172892342152655773723610725562114913684557857033314791365611926111043243886995365053208739406246737058479698081329760041394382035019089249527 (175 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1092560519
Step 1 took 16645ms
Step 2 took 11517ms
********** Factor found in step 2: 98697975686710186565600843003
Found probable prime factor of 29 digits: 98697975686710186565600843003
Probable prime cofactor 13158020566573199025399337766493853185074569307320289819674873783728277586980890850548600654678232564621663383516830382998313758051238848006387509 has 146 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:48:59 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 59 秒 (日本時間)

154×10207-19

c161

name 名前Serge Batalov
date 日付December 11, 2014 01:35:20 UTC 2014 年 12 月 11 日 (木) 10 時 35 分 20 秒 (日本時間)
composite number 合成数
16238499287342261729450262922132099927150591555548548470853526922343969247320048816589561392924097966637622795951271921297931943402432367504544237839519848004233<161>
prime factors 素因数
3881235273232640330772351240409579<34>
4183848219491570588889273743881303189977066590363687088056473175900715240818997765110917696880814934295373166007929837857166427<127>
factorization results 素因数分解の結果
Input number is 16238499287342261729450262922132099927150591555548548470853526922343969247320048816589561392924097966637622795951271921297931943402432367504544237839519848004233 (161 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2975654153
Step 1 took 11016ms
Step 2 took 8085ms
********** Factor found in step 2: 3881235273232640330772351240409579
Found probable prime factor of 34 digits: 3881235273232640330772351240409579
Probable prime cofactor 4183848219491570588889273743881303189977066590363687088056473175900715240818997765110917696880814934295373166007929837857166427 has 127 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:48:59 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 59 秒 (日本時間)

154×10208-19

c202

name 名前Serge Batalov
date 日付December 11, 2014 01:35:23 UTC 2014 年 12 月 11 日 (木) 10 時 35 分 23 秒 (日本時間)
composite number 合成数
9928651869532588791466248930888891506442563583844115729990879759596649678292015538701217704666280055278349529511167273755374664544539825908310305469351969851300450631206628352514876263499122413553146207<202>
prime factors 素因数
3715790008360203808516356733877<31>
composite cofactor 合成数の残り
2672016407599457193284624023360839886035127671958969993712420930790194206748642034278644467401503952996539197270058449898937049814465917337208527415269525177880371289044291<172>
factorization results 素因数分解の結果
Input number is 9928651869532588791466248930888891506442563583844115729990879759596649678292015538701217704666280055278349529511167273755374664544539825908310305469351969851300450631206628352514876263499122413553146207 (202 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3422876931
Step 1 took 16014ms
Step 2 took 10566ms
********** Factor found in step 2: 3715790008360203808516356733877
Found probable prime factor of 31 digits: 3715790008360203808516356733877
Composite cofactor 2672016407599457193284624023360839886035127671958969993712420930790194206748642034278644467401503952996539197270058449898937049814465917337208527415269525177880371289044291 has 172 digits

c172

name 名前Bob Backstrom
date 日付August 5, 2021 02:00:55 UTC 2021 年 8 月 5 日 (木) 11 時 0 分 55 秒 (日本時間)
composite number 合成数
2672016407599457193284624023360839886035127671958969993712420930790194206748642034278644467401503952996539197270058449898937049814465917337208527415269525177880371289044291<172>
prime factors 素因数
9572360387096921056766676499345384333618998083<46>
279138718095194797406486565856195768268178348596395492601898899554368203001660380180671279920581409497212055429568490262949377<126>
factorization results 素因数分解の結果
#
# N = 154x10^208-1 = 171(208)
#
n: 2672016407599457193284624023360839886035127671958969993712420930790194206748642034278644467401503952996539197270058449898937049814465917337208527415269525177880371289044291
m: 100000000000000000000000000000000000000000
deg: 5
c5: 154000
c0: -1
skew: 0.09
# Murphy_E = 4.739e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
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 2672016407599457193284624023360839886035127671958969993712420930790194206748642034278644467401503952996539197270058449898937049814465917337208527415269525177880371289044291 (172 digits)
Using B1=40540000, B2=192393771586, polynomial Dickson(12), sigma=1:3544825135
Step 1 took 93276ms
Step 2 took 30271ms
********** Factor found in step 2: 9572360387096921056766676499345384333618998083
Found prime factor of 46 digits: 9572360387096921056766676499345384333618998083
Prime cofactor 279138718095194797406486565856195768268178348596395492601898899554368203001660380180671279920581409497212055429568490262949377 has 126 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:00 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 0 秒 (日本時間)
4511e6585 / 4409CypMay 12, 2015 04:52:37 UTC 2015 年 5 月 12 日 (火) 13 時 52 分 37 秒 (日本時間)

154×10209-19

c178

name 名前Bob Backstrom
date 日付July 9, 2021 15:11:55 UTC 2021 年 7 月 10 日 (土) 0 時 11 分 55 秒 (日本時間)
composite number 合成数
3879844991025720674029418958367714765268184297754964504906503592342831598130598039603902787573909342623308357667388984544822920448499392429651041735747492521827882780931131393217<178>
prime factors 素因数
133735655318608247500044861558014881208307379<45>
29011298309209176580705187446302237546599772785510307957383365155733193601836716045114741866297521883743649637909896518129644536846523<134>
factorization results 素因数分解の結果
#
# N = 154x10^209-1 = 171(209)
#
n: 3879844991025720674029418958367714765268184297754964504906503592342831598130598039603902787573909342623308357667388984544822920448499392429651041735747492521827882780931131393217
m: 100000000000000000000000000000000000
deg: 6
c6: 77
c0: -5
skew: 0.63
# Murphy_E = 4.979e-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 3879844991025720674029418958367714765268184297754964504906503592342831598130598039603902787573909342623308357667388984544822920448499392429651041735747492521827882780931131393217 (178 digits)
Using B1=36420000, B2=192389627446, polynomial Dickson(12), sigma=1:1390025030
Step 1 took 97148ms
Step 2 took 32494ms
********** Factor found in step 2: 133735655318608247500044861558014881208307379
Found prime factor of 45 digits: 133735655318608247500044861558014881208307379
Prime cofactor 29011298309209176580705187446302237546599772785510307957383365155733193601836716045114741866297521883743649637909896518129644536846523 has 134 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 7, 2014 18:15:25 UTC 2014 年 12 月 8 日 (月) 3 時 15 分 25 秒 (日本時間)
4511e6591 / 4413CypMay 18, 2015 17:57:55 UTC 2015 年 5 月 19 日 (火) 2 時 57 分 55 秒 (日本時間)

154×10210-19

c201

name 名前Serge Batalov
date 日付December 11, 2014 01:35:27 UTC 2014 年 12 月 11 日 (木) 10 時 35 分 27 秒 (日本時間)
composite number 合成数
479726419693985481648782502514308553414037787855254296921446357758254511355857063057713310796271656627905175455153308333467364923234890605272957046369008378589646641271912712144947946703287424491211883<201>
prime factors 素因数
484378845349583406989785368230093<33>
990395068446393028075804491068213165225320400036661118895481308752486313827215346184020911897118174569000196021184664985326246092952800082224954285002284571620810603031<168>
factorization results 素因数分解の結果
Input number is 479726419693985481648782502514308553414037787855254296921446357758254511355857063057713310796271656627905175455153308333467364923234890605272957046369008378589646641271912712144947946703287424491211883 (201 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=802540485
Step 1 took 15994ms
Step 2 took 10277ms
********** Factor found in step 2: 484378845349583406989785368230093
Found probable prime factor of 33 digits: 484378845349583406989785368230093
Probable prime cofactor 990395068446393028075804491068213165225320400036661118895481308752486313827215346184020911897118174569000196021184664985326246092952800082224954285002284571620810603031 has 168 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:49:00 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 0 秒 (日本時間)

154×10211-19

c164

composite cofactor 合成数の残り
50942172461751359504179679340489182850842530241292814783746065987267553752109001638259219280302628901022494406414170997332454620135799522674045917234807859021569143<164>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 10, 2014 20:15:08 UTC 2014 年 12 月 11 日 (木) 5 時 15 分 8 秒 (日本時間)
4511e6591 / 4413CypJune 22, 2015 07:30:38 UTC 2015 年 6 月 22 日 (月) 16 時 30 分 38 秒 (日本時間)

154×10212-19

c202

name 名前Cyp
date 日付July 28, 2015 20:27:36 UTC 2015 年 7 月 29 日 (水) 5 時 27 分 36 秒 (日本時間)
composite number 合成数
2781625988036869778203121708002949282235446068892810837317357150055533971475326677005752171584673834935868133189668766636757832923575736143508419474376820781632107480019661711220938284556479156452157821<202>
prime factors 素因数
3906708420124432175101524516386602141<37>
712012694294772193403705917832180360550201883417211452595891799514189736712250181790283342075464219503946587139277360840695844612744725007679449238377428258403408481<165>
factorization results 素因数分解の結果
Input number is 2781625988036869778203121708002949282235446068892810837317357150055533971475326677005752171584673834935868133189668766636757832923575736143508419474376820781632107480019661711220938284556479156452157821 (202 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=132263768
Step 1 took 69777ms
Step 2 took 21682ms
********** Factor found in step 2: 3906708420124432175101524516386602141
Found probable prime factor of 37 digits: 3906708420124432175101524516386602141
Probable prime cofactor 712012694294772193403705917832180360550201883417211452595891799514189736712250181790283342075464219503946587139277360840695844612744725007679449238377428258403408481 has 165 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 KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280 / 2315CypDecember 8, 2014 20:52:59 UTC 2014 年 12 月 9 日 (火) 5 時 52 分 59 秒 (日本時間)
4511e61 / 4413CypJuly 28, 2015 20:27:35 UTC 2015 年 7 月 29 日 (水) 5 時 27 分 35 秒 (日本時間)

154×10216-19

c185

composite cofactor 合成数の残り
55243340291642215714598920062692486557257261688846003059965233294041953005780540179026307902245381011745468462082332292179895509344148939389649747700200619381968426041091984721968008577<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:01 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 1 秒 (日本時間)
4511e6585 / 4409CypJanuary 26, 2015 10:55:53 UTC 2015 年 1 月 26 日 (月) 19 時 55 分 53 秒 (日本時間)

154×10217-19

c186

name 名前Cyp
date 日付July 29, 2015 09:30:05 UTC 2015 年 7 月 29 日 (水) 18 時 30 分 5 秒 (日本時間)
composite number 合成数
280193327321285956379662459956251692510014267475653112710649276795870304278738651306416938249140369416813637450688466587531601164425729203570341021846561730197874539873154878340133433779<186>
prime factors 素因数
3104771730144935227281845915117316308449<40>
90246031487862757399779741017310108165529129082513444308980573741293845656456467536959237337669808011145241191854750727068412482487250257435761171<146>
factorization results 素因数分解の結果
Run 296 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3737144859
Step 1 took 59464ms
Step 2 took 19544ms
********** Factor found in step 2: 3104771730144935227281845915117316308449
Found probable prime factor of 40 digits: 3104771730144935227281845915117316308449
Probable prime cofactor 90246031487862757399779741017310108165529129082513444308980573741293845656456467536959237337669808011145241191854750727068412482487250257435761171 has 146 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 1297Serge BatalovDecember 10, 2014 19:49:01 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 1 秒 (日本時間)
4511e6296 / 4409CypJuly 29, 2015 09:30:04 UTC 2015 年 7 月 29 日 (水) 18 時 30 分 4 秒 (日本時間)

154×10218-19

c183

name 名前Erik Branger
date 日付December 6, 2019 17:40:31 UTC 2019 年 12 月 7 日 (土) 2 時 40 分 31 秒 (日本時間)
composite number 合成数
403275090701888843678671780453713576499989630585190583946778862752630883582982842479063800015795049819573504755158536829946387058647846729595056013635727563604735895164876381407413833<183>
prime factors 素因数
696595610281744563580896984863246557613613292776474195471408584381<66>
578922813680638165651367573182836500484478928730395543006584932277496481202725570228815672178137821218093498913594493<117>
factorization results 素因数分解の結果
Number: 17111_218
N = 403275090701888843678671780453713576499989630585190583946778862752630883582982842479063800015795049819573504755158536829946387058647846729595056013635727563604735895164876381407413833 (183 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=696595610281744563580896984863246557613613292776474195471408584381 (pp66)
r2=578922813680638165651367573182836500484478928730395543006584932277496481202725570228815672178137821218093498913594493 (pp117)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 74.79 hours.
Factorization parameters were as follows:
n: 403275090701888843678671780453713576499989630585190583946778862752630883582982842479063800015795049819573504755158536829946387058647846729595056013635727563604735895164876381407413833
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 77
c0: -50
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: 7777726 relations
Pruned matrix : 6925365 x 6925590
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 33.11 hours.
Total relation processing time: 0.42 hours.
Matrix solve time: 40.83 hours.
time per square root: 0.42 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 74.79 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 KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:02 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 2 秒 (日本時間)
4511e6585 / 4409CypMay 15, 2015 07:30:52 UTC 2015 年 5 月 15 日 (金) 16 時 30 分 52 秒 (日本時間)

154×10220-19

c217

name 名前Erik Branger
date 日付March 3, 2018 14:25:09 UTC 2018 年 3 月 3 日 (土) 23 時 25 分 9 秒 (日本時間)
composite number 合成数
1013649381311859763582737156107928646982122252697525049974889140326592564947609465905508131245215607830902220352894791751000320550161492776431730385061704260552649541257833567986582968189181201674759406370062326272673<217>
prime factors 素因数
743987176437508991054484758214966067167878888813575400332698467<63>
1362455447371546166874421145802224028619859713947973057430462099861107096683269396282436234835112908635295042659735348092246190193071706673694907963845419<154>
factorization results 素因数分解の結果
Number: 17111_220
N = 1013649381311859763582737156107928646982122252697525049974889140326592564947609465905508131245215607830902220352894791751000320550161492776431730385061704260552649541257833567986582968189181201674759406370062326272673 (217 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=743987176437508991054484758214966067167878888813575400332698467 (pp63)
r2=1362455447371546166874421145802224028619859713947973057430462099861107096683269396282436234835112908635295042659735348092246190193071706673694907963845419 (pp154)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 78.85 hours.
Factorization parameters were as follows:
n: 1013649381311859763582737156107928646982122252697525049974889140326592564947609465905508131245215607830902220352894791751000320550161492776431730385061704260552649541257833567986582968189181201674759406370062326272673
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 154
c0: -1
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 27
mfbr: 58
mfba: 54
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/27
Total raw relations: 30540994
Relations: 8192076 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 41.20 hours.
Total relation processing time: 0.28 hours.
Pruned matrix : 7295603 x 7295829
Matrix solve time: 37.20 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,536870912,29,27,58,54,2.8,2.8,100000
total time: 78.85 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.16299-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_Factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:02 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 2 秒 (日本時間)
4511e6585 / 4409CypJuly 29, 2015 18:24:19 UTC 2015 年 7 月 30 日 (木) 3 時 24 分 19 秒 (日本時間)

154×10221-19

c167

name 名前Cyp
date 日付January 8, 2015 05:11:18 UTC 2015 年 1 月 8 日 (木) 14 時 11 分 18 秒 (日本時間)
composite number 合成数
37932455555562041567936874423765127639440517855142824946965469317772390715926850461208679755966084098075073398273525519561293319446023684003238084912743949774393480283<167>
prime factors 素因数
149020474637096081337802114756710157<36>
composite cofactor 合成数の残り
254545260629034460714904834798505635935722245215375418650803536343104950810973267279185311855018336355817564872546289797975487878919<132>
factorization results 素因数分解の結果
Run 74 out of 329:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=239378157
Step 1 took 50085ms
Step 2 took 17370ms
********** Factor found in step 2: 149020474637096081337802114756710157
Found probable prime factor of 36 digits: 149020474637096081337802114756710157
Composite cofactor 254545260629034460714904834798505635935722245215375418650803536343104950810973267279185311855018336355817564872546289797975487878919 has 132 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

c132

name 名前Erik Branger
date 日付March 5, 2015 17:02:29 UTC 2015 年 3 月 6 日 (金) 2 時 2 分 29 秒 (日本時間)
composite number 合成数
254545260629034460714904834798505635935722245215375418650803536343104950810973267279185311855018336355817564872546289797975487878919<132>
prime factors 素因数
59112671676520137808441693589283441080057<41>
4306103131693524331597863399145939816771016857556841028030407737231150272661385355605114367<91>
factorization results 素因数分解の結果
Number: 17111_221
N = 254545260629034460714904834798505635935722245215375418650803536343104950810973267279185311855018336355817564872546289797975487878919 (132 digits)
Divisors found:
r1=59112671676520137808441693589283441080057 (pp41)
r2=4306103131693524331597863399145939816771016857556841028030407737231150272661385355605114367 (pp91)
Version: Msieve v. 1.52 (SVN 958)
Total time: 63.29 hours.
Factorization parameters were as follows:
# Murphy_E = 6.176e-11, selected by Erik Branger
# expecting poly E from 6.83e-011 to > 7.85e-011
n: 254545260629034460714904834798505635935722245215375418650803536343104950810973267279185311855018336355817564872546289797975487878919
Y0: -31444640508940177440482437
Y1: 67859807816579
c0: 59152388351932036490257837094400
c1: -122103053597772709987803266
c2: -3775400028531801624481
c3: 4080435656315031
c4: 13326400851
c5: 8280
skew: 448506.55
type: gnfs
# selected mechanically
rlim: 10700000
alim: 10700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 10700000/10700000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19705935
Relations: 2830050 relations
Pruned matrix : 1653195 x 1653421
Polynomial selection time: 0.00 hours.
Total sieving time: 61.54 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.10 hours.
time per square root: 0.56 hours.
Prototype def-par.txt line would be: gnfs,131,5,65,2000,1e-05,0.28,250,20,50000,3600,10700000,10700000,28,28,54,54,2.6,2.6,100000
total time: 63.29 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 KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovDecember 10, 2014 19:49:02 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 2 秒 (日本時間)
2350Ignacio SantosFebruary 4, 2015 00:21:54 UTC 2015 年 2 月 4 日 (水) 9 時 21 分 54 秒 (日本時間)
4511e6329 / 3889CypJanuary 8, 2015 05:11:17 UTC 2015 年 1 月 8 日 (木) 14 時 11 分 17 秒 (日本時間)

154×10222-19

c216

name 名前Cyp
date 日付July 29, 2015 05:53:12 UTC 2015 年 7 月 29 日 (水) 14 時 53 分 12 秒 (日本時間)
composite number 合成数
558950252806847637118926636650529954345487782801107254318071272900931377717387921373222883456741745626828572632440349691037888555402472147681306121849289524685364634228090372339956200585599113496188135308891462310371<216>
prime factors 素因数
3904779240338027097029182443484644367<37>
143145160943454691669441353746068861308962060929695252023968185460044079065561703485339645722962225377513597033817213721159590026515705220027770505655599861954782388153801047320813<180>
factorization results 素因数分解の結果
Run 211 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2208835471
Step 1 took 80064ms
Step 2 took 23480ms
********** Factor found in step 2: 3904779240338027097029182443484644367
Found probable prime factor of 37 digits: 3904779240338027097029182443484644367
Probable prime cofactor 143145160943454691669441353746068861308962060929695252023968185460044079065561703485339645722962225377513597033817213721159590026515705220027770505655599861954782388153801047320813 has 180 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 KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 1590Serge BatalovDecember 10, 2014 19:49:03 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 3 秒 (日本時間)
4511e6211 / 4409CypJuly 29, 2015 05:53:12 UTC 2015 年 7 月 29 日 (水) 14 時 53 分 12 秒 (日本時間)

154×10224-19

c202

name 名前Cyp
date 日付December 7, 2014 06:10:57 UTC 2014 年 12 月 7 日 (日) 15 時 10 分 57 秒 (日本時間)
composite number 合成数
1677095665245044984456551298227674830248232361384456485211464920613194115169526753953771006261160907727077796676808803299934692955261910508348484640746724363447174588354349486239265297683445562028529103<202>
prime factors 素因数
513462395690489705663459730003314003<36>
3266248277032506290990586669832294731508141217036840187914750925885346710856445851216370431669982272663020215091841180670442942674213013962845183330468901496270471701<166>
factorization results 素因数分解の結果
Run 135 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2712390067
Step 1 took 18967ms
Step 2 took 6205ms
********** Factor found in step 2: 513462395690489705663459730003314003
Found probable prime factor of 36 digits: 513462395690489705663459730003314003
Probable prime cofactor 3266248277032506290990586669832294731508141217036840187914750925885346710856445851216370431669982272663020215091841180670442942674213013962845183330468901496270471701 has 166 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
3025e40--
351e6118 / 525Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6135 / 2318CypDecember 7, 2014 06:10:57 UTC 2014 年 12 月 7 日 (日) 15 時 10 分 57 秒 (日本時間)

154×10226-19

c190

name 名前Cyp
date 日付July 29, 2015 10:59:54 UTC 2015 年 7 月 29 日 (水) 19 時 59 分 54 秒 (日本時間)
composite number 合成数
3428279986123425853815221339707388968817881617589541881311810914347578404601445500870691370962302532214743847717265906561300163445447224486178261853780278898393524637494736719363876319912247<190>
prime factors 素因数
29484015027253736420168610712957<32>
composite cofactor 合成数の残り
116275886542401823156282193505497809130338969573288046373953841358996419971805890052929377220124486153669451251390418910423259759913302783975088358248224683971<159>
factorization results 素因数分解の結果
Run 95 out of 591:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=44644830
Step 1 took 59088ms
Step 2 took 19454ms
********** Factor found in step 2: 29484015027253736420168610712957
Found probable prime factor of 32 digits: 29484015027253736420168610712957
Composite cofactor 116275886542401823156282193505497809130338969573288046373953841358996419971805890052929377220124486153669451251390418910423259759913302783975088358248224683971 has 159 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 KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 8, 2014 01:54:05 UTC 2014 年 12 月 8 日 (月) 10 時 54 分 5 秒 (日本時間)
4511e6591CypJuly 29, 2015 10:59:54 UTC 2015 年 7 月 29 日 (水) 19 時 59 分 54 秒 (日本時間)
5043e61200 / 7410Erik BrangerOctober 24, 2015 08:46:51 UTC 2015 年 10 月 24 日 (土) 17 時 46 分 51 秒 (日本時間)

154×10228-19

c227

name 名前Bob Backstrom
date 日付November 22, 2018 12:18:25 UTC 2018 年 11 月 22 日 (木) 21 時 18 分 25 秒 (日本時間)
composite number 合成数
26611370312770001728011059270779332987731121479177466735787109037497839986175911525833765336098151028166580266113703127700017280110592707793329877311214791774667357871090374978399861759115258337653360981510281665802661137031277<227>
prime factors 素因数
99449738555356065538887595274378861453229766997902858787351<59>
267586126412564539594240115664584118432981911254890311243087905690123182788160954461015423802720433586946202777478063511532485503196027656114123712195298267657023692827<168>
factorization results 素因数分解の結果
Number: n
N=26611370312770001728011059270779332987731121479177466735787109037497839986175911525833765336098151028166580266113703127700017280110592707793329877311214791774667357871090374978399861759115258337653360981510281665802661137031277
  ( 227 digits)
SNFS difficulty: 230 digits.
Divisors found:

Thu Nov 22 23:13:56 2018  p59 factor: 99449738555356065538887595274378861453229766997902858787351
Thu Nov 22 23:13:56 2018  p168 factor: 267586126412564539594240115664584118432981911254890311243087905690123182788160954461015423802720433586946202777478063511532485503196027656114123712195298267657023692827
Thu Nov 22 23:13:56 2018  elapsed time 15:52:28 (Msieve 1.54 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.124).
Factorization parameters were as follows:
#
# N = 154x10^228-1 = 171(228)
#
n: 26611370312770001728011059270779332987731121479177466735787109037497839986175911525833765336098151028166580266113703127700017280110592707793329877311214791774667357871090374978399861759115258337653360981510281665802661137031277
m: 100000000000000000000000000000000000000
deg: 6
c6: 154
c0: -1
skew: 0.43
# Murphy_E = 1.371e-12
type: snfs
lss: 1
rlim: 48000000
alim: 48000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 48000000/48000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved  special-q in [100000, 71200000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 18676034 hash collisions in 114216818 relations (98703463 unique)
Msieve: matrix is 5677073 x 5677299 (1990.4 MB)

Sieving start time: 2018/11/20 22:18:55
Sieving end time  : 2018/11/22 07:18:09

Total sieving time: 32hrs 59min 14secs.
Total relation processing time: 14hrs 39min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 32min 59sec.

Prototype def-par.txt line would be:
snfs,230,6,0,0,0,0,0,0,0,0,48000000,48000000,30,30,59,59,2.7,2.7,100000
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: 16285108K/16703460K available (12300K kernel code, 2472K rwdata, 4248K rodata, 2408K init, 2416K bss, 418352K reserved, 0K cma-reserved)
[    0.076577] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.57 BogoMIPS (lpj=11977156)
[    0.074209] smpboot: Total of 16 processors activated (95817.24 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:52 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 52 秒 (日本時間)
4511e62000 / 39621000Serge BatalovDecember 18, 2014 00:18:47 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 47 秒 (日本時間)
1000Serge BatalovDecember 21, 2014 10:24:44 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 44 秒 (日本時間)

154×10229-19

c209

composite cofactor 合成数の残り
18613035488068623231675857112041934990780316696664696476628370716776111346163532090509153229259886939392258771182838076469207632786959613335474638364287092817539616468221705545917752680588152090017322880651581<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 10, 2014 08:35:47 UTC 2014 年 12 月 10 日 (水) 17 時 35 分 47 秒 (日本時間)
4511e6591 / 4413CypJuly 29, 2015 14:33:31 UTC 2015 年 7 月 29 日 (水) 23 時 33 分 31 秒 (日本時間)

154×10232-19

c178

composite cofactor 合成数の残り
2047444668299064341907529236910595417479930005651154572731787975958599667513637098393665110336020136645506889803090030292907195741379901592121288523401441389762896791845451079741<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 10, 2014 03:08:52 UTC 2014 年 12 月 10 日 (水) 12 時 8 分 52 秒 (日本時間)
4511e6591 / 4413CypJune 28, 2015 19:19:42 UTC 2015 年 6 月 29 日 (月) 4 時 19 分 42 秒 (日本時間)

154×10233-19

c202

name 名前Cyp
date 日付December 9, 2014 16:49:50 UTC 2014 年 12 月 10 日 (水) 1 時 49 分 50 秒 (日本時間)
composite number 合成数
2525656889338219356634721198553946111624115371793886176882435417920640788514213368456919621096858040912939680783606539039778655228682494329492599546724171275593678313403793644957481572556097618542567707<202>
prime factors 素因数
15703443691680752288617738484737<32>
160834587554591107367065176232884252912109256160733626794650519575790579272768716421280050860498153399094530244264722036501427009430171267904546947588547924355632939158811<171>
factorization results 素因数分解の結果
Run 17 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=76562791
Step 1 took 18960ms
********** Factor found in step 1: 15703443691680752288617738484737
Found probable prime factor of 32 digits: 15703443691680752288617738484737
Probable prime cofactor 160834587554591107367065176232884252912109256160733626794650519575790579272768716421280050860498153399094530244264722036501427009430171267904546947588547924355632939158811 has 171 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
3025e40--
351e6118 / 857Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e617 / 2318CypDecember 9, 2014 16:49:50 UTC 2014 年 12 月 10 日 (水) 1 時 49 分 50 秒 (日本時間)

154×10234-19

c215

composite cofactor 合成数の残り
66942564791902320245747699609677482649214050764711397983950564594991672751199870163488727763607605599368241272827629770009439930380492268824825441133141525438870100344556388851086814417266547732954313921635527148889<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:03 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 3 秒 (日本時間)
4511e6585 / 4409CypMay 29, 2015 03:00:06 UTC 2015 年 5 月 29 日 (金) 12 時 0 分 6 秒 (日本時間)

154×10236-19

c198

name 名前Cyp
date 日付January 25, 2015 02:28:10 UTC 2015 年 1 月 25 日 (日) 11 時 28 分 10 秒 (日本時間)
composite number 合成数
461924558563288900053056438986814203641119156035602999055109830715495175631679002583457235826832583810273643580390334830814441931978576599499518962907024259808478524896941732259506206618469809214427<198>
prime factors 素因数
10899516099663734928832490762991640225093<41>
42380281320703761185091689676013858428358600981561416395746540538341321116318439210370221784745827791734384660870172083008916870814745485561298421316808660639<158>
factorization results 素因数分解の結果
Run 125 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=230498473
Step 1 took 69089ms
Step 2 took 20934ms
********** Factor found in step 2: 10899516099663734928832490762991640225093
Found probable prime factor of 41 digits: 10899516099663734928832490762991640225093
Probable prime cofactor 42380281320703761185091689676013858428358600981561416395746540538341321116318439210370221784745827791734384660870172083008916870814745485561298421316808660639 has 158 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 KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 1887Serge BatalovDecember 10, 2014 19:49:04 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 4 秒 (日本時間)
4511e6125 / 4409CypJanuary 25, 2015 02:28:10 UTC 2015 年 1 月 25 日 (日) 11 時 28 分 10 秒 (日本時間)

154×10237-19

c170

composite cofactor 合成数の残り
19160237101100764153035463032802492020806057422084990732989079166869692058377056580492376052862696469988097462287926847045511206817291071538023196702163173448748457803977<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:04 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 4 秒 (日本時間)
4511e6585 / 4409CypJuly 29, 2015 10:35:40 UTC 2015 年 7 月 29 日 (水) 19 時 35 分 40 秒 (日本時間)

154×10239-19

c241

name 名前Bob Backstrom
date 日付February 28, 2019 07:06:29 UTC 2019 年 2 月 28 日 (木) 16 時 6 分 29 秒 (日本時間)
composite number 合成数
1711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<241>
prime factors 素因数
1336909370645585569236872787960737403227329186606657886659036593039383413579036677215251<88>
1279900604096166781334676354657739045525983023262097330776139554250568775628584358204003391509813666003645846875160985005684043016836336208130613383780861<154>
factorization results 素因数分解の結果
Number: n
N=17111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
11111111111111111111111111111111111
  ( 241 digits)
SNFS difficulty: 241 digits.
Divisors found:

Thu Feb 28 18:01:00 2019  p88 factor: 1336909370645585569236872787960737403227329186606657886659036593039383413579036677215251
Thu Feb 28 18:01:00 2019  p154 factor: 1279900604096166781334676354657739045525983023262097330776139554250568775628584358204003391509813666003645846875160985005684043016836336208130613383780861
Thu Feb 28 18:01:00 2019  elapsed time 57:54:49 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.761).
Factorization parameters were as follows:
#
# N = 154x10^239-1 = 171(239)
#
n: 1711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
111111111111111111111111111111111111
m: 10000000000000000000000000000000000000000
deg: 6
c6: 77
c0: -5
skew: 0.63
# Murphy_E = 4.675e-13
type: snfs
lss: 1
rlim: 75000000
alim: 75000000
lpbr: 30
lpba: 30
mfbr: 61
mfba: 61
rlambda: 2.7
alambda: 2.7
Factor base limits: 75000000/75000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 61/61
Sieved  special-q in [100000, 149500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 24985567 hash collisions in 125413274 relations (102254352 unique)
Msieve: matrix is 9593854 x 9594079 (3349.5 MB)

Sieving start time: 2019/02/22 06:50:47
Sieving end time  : 2019/02/26 08:00:35

Total sieving time: 97hrs 9min 48secs.

Total relation processing time: 56hrs 34min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 32min 56sec.

Prototype def-par.txt line would be:
snfs,241,6,0,0,0,0,0,0,0,0,75000000,75000000,30,30,61,61,2.7,2.7,100000
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: 16285116K/16703460K available (12300K kernel code, 2473K rwdata, 4252K rodata, 2408K init, 2416K bss, 418344K reserved, 0K cma-reserved)
[    0.080546] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.39 BogoMIPS (lpj=11976796)
[    0.078209] smpboot: Total of 16 processors activated (95814.36 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62600280CypDecember 7, 2014 01:34:49 UTC 2014 年 12 月 7 日 (日) 10 時 34 分 49 秒 (日本時間)
2320Serge BatalovDecember 9, 2014 19:26:05 UTC 2014 年 12 月 10 日 (水) 4 時 26 分 5 秒 (日本時間)
4511e640001000Serge BatalovDecember 18, 2014 00:19:00 UTC 2014 年 12 月 18 日 (木) 9 時 19 分 0 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 01:48:50 UTC 2014 年 12 月 18 日 (木) 10 時 48 分 50 秒 (日本時間)
2000Serge BatalovDecember 20, 2014 04:02:06 UTC 2014 年 12 月 20 日 (土) 13 時 2 分 6 秒 (日本時間)
5043e6500 / 1561Serge BatalovJanuary 11, 2015 01:24:50 UTC 2015 年 1 月 11 日 (日) 10 時 24 分 50 秒 (日本時間)
5511e70 / 14995--
6026e71000 / 41892Serge BatalovMay 17, 2017 00:23:42 UTC 2017 年 5 月 17 日 (水) 9 時 23 分 42 秒 (日本時間)

154×10240-19

c200

composite cofactor 合成数の残り
41969216993527854636132813018233111609823100098159464813962185212479942324354618788766362866188552213591693180856136689139130634399547238007421779190592386926540884531931947659880997727281497830872497<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:05 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 5 秒 (日本時間)
4511e6585 / 4409209CypDecember 29, 2014 09:41:17 UTC 2014 年 12 月 29 日 (月) 18 時 41 分 17 秒 (日本時間)
376CypJuly 28, 2015 20:25:57 UTC 2015 年 7 月 29 日 (水) 5 時 25 分 57 秒 (日本時間)

154×10242-19

c244

name 名前NFS@Home + Greg Childers
date 日付March 5, 2022 14:04:30 UTC 2022 年 3 月 5 日 (土) 23 時 4 分 30 秒 (日本時間)
composite number 合成数
1711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<244>
prime factors 素因数
9500072628064393928473311267325568100690701768006203647511<58>
269543774427868738032824388191238541328371244261264435350209882283963907822521466509<84>
668223862533325711373326905642747968125374175385066681251314649018497228858500415924681325515280168789<102>
factorization results 素因数分解の結果
p58 factor: 9500072628064393928473311267325568100690701768006203647511
p84 factor: 269543774427868738032824388191238541328371244261264435350209882283963907822521466509
p102 factor: 668223862533325711373326905642747968125374175385066681251314649018497228858500415924681325515280168789

Complete log at: https://pastebin.com/bArwPHEW
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 KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:58 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 58 秒 (日本時間)
4511e640001000Serge BatalovDecember 18, 2014 00:19:03 UTC 2014 年 12 月 18 日 (木) 9 時 19 分 3 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 01:48:53 UTC 2014 年 12 月 18 日 (木) 10 時 48 分 53 秒 (日本時間)
2000Serge BatalovDecember 20, 2014 04:02:08 UTC 2014 年 12 月 20 日 (土) 13 時 2 分 8 秒 (日本時間)
5043e6500Serge BatalovJanuary 11, 2015 01:24:52 UTC 2015 年 1 月 11 日 (日) 10 時 24 分 52 秒 (日本時間)
5511e7500Dmitry DomanovMay 31, 2019 09:48:04 UTC 2019 年 5 月 31 日 (金) 18 時 48 分 4 秒 (日本時間)
6026e710000 / 417031000Serge BatalovMay 17, 2017 00:24:02 UTC 2017 年 5 月 17 日 (水) 9 時 24 分 2 秒 (日本時間)
9000yoyo@HomeFebruary 23, 2022 22:22:56 UTC 2022 年 2 月 24 日 (木) 7 時 22 分 56 秒 (日本時間)

154×10243-19

c195

name 名前Cyp
date 日付December 7, 2014 08:26:22 UTC 2014 年 12 月 7 日 (日) 17 時 26 分 22 秒 (日本時間)
composite number 合成数
982281475164464092413710351330684924875744410872903036725158701753679116557541710795393960336180373202086084405672540144966635044350113373044233666229290989355570141142874818626515194566755245081<195>
prime factors 素因数
610635553869113872543996477<27>
46449838289016715347801197143<29>
composite cofactor 合成数の残り
34631369027801650054013499628003838783532906945486179713898054983632341964216857767836188087826848173795680200052720183165007113308167354171<140>
factorization results 素因数分解の結果
Run 2 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1469019814
Step 1 took 18853ms
Step 2 took 6263ms
********** Factor found in step 2: 610635553869113872543996477
Found probable prime factor of 27 digits: 610635553869113872543996477
Composite cofactor 1608621491068648665554426484294818741349257870395905035046868611890183376712657840806202132626713809104437316050326836719765817694878487936478594385435221125064674333453 has 169 digits
--
Run 12 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1022203673
Step 1 took 13464ms
Step 2 took 5086ms
********** Factor found in step 2: 46449838289016715347801197143
Found probable prime factor of 29 digits: 46449838289016715347801197143
Composite cofactor 34631369027801650054013499628003838783532906945486179713898054983632341964216857767836188087826848173795680200052720183165007113308167354171 has 140 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

c140

name 名前Erik Branger
date 日付July 5, 2016 06:53:07 UTC 2016 年 7 月 5 日 (火) 15 時 53 分 7 秒 (日本時間)
composite number 合成数
34631369027801650054013499628003838783532906945486179713898054983632341964216857767836188087826848173795680200052720183165007113308167354171<140>
prime factors 素因数
5739962807639401563061526557368345727993175396350213<52>
6033378645190914443104055026387480319667453766018547558030932361564106644555811572802367<88>
factorization results 素因数分解の結果
Number: 17111_243
N = 34631369027801650054013499628003838783532906945486179713898054983632341964216857767836188087826848173795680200052720183165007113308167354171 (140 digits)
Divisors found:
r1=5739962807639401563061526557368345727993175396350213 (pp52)
r2=6033378645190914443104055026387480319667453766018547558030932361564106644555811572802367 (pp88)
Version: Msieve v. 1.51 (SVN 845)
Total time: 305.53 hours.
Factorization parameters were as follows:
# Murphy_E = 2.15e-11, selected by Erik Branger
# expecting poly E from 2.19e-011 to > 2.52e-011
n: 34631369027801650054013499628003838783532906945486179713898054983632341964216857767836188087826848173795680200052720183165007113308167354171
Y0: -2330276784921790694112807983
Y1: 448725170770283
c0: 423448962099538127415294489159990660
c1: -286854713407471618580839420786
c2: -253592940321223832799922
c3: 60437580595124783
c4: 9526733558
c5: 504
skew: 4469504.24
type: gnfs
# selected mechanically
rlim: 17700000
alim: 17700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 17700000/17700000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23165532
Relations: 3262826 relations
Pruned matrix : 2057884 x 2058109
Polynomial selection time: 0.00 hours.
Total sieving time: 301.30 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 3.80 hours.
time per square root: 0.24 hours.
Prototype def-par.txt line would be: gnfs,139,5,65,2000,1e-05,0.28,250,20,50000,3600,17700000,17700000,28,28,55,55,2.6,2.6,100000
total time: 305.53 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS; Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62600280CypDecember 7, 2014 08:26:21 UTC 2014 年 12 月 7 日 (日) 17 時 26 分 21 秒 (日本時間)
2320Serge BatalovDecember 9, 2014 19:25:55 UTC 2014 年 12 月 10 日 (水) 4 時 25 分 55 秒 (日本時間)
4511e63988Ignacio SantosDecember 20, 2015 19:07:53 UTC 2015 年 12 月 21 日 (月) 4 時 7 分 53 秒 (日本時間)

154×10244-19

c229

name 名前Serge Batalov
date 日付December 10, 2014 22:40:33 UTC 2014 年 12 月 11 日 (木) 7 時 40 分 33 秒 (日本時間)
composite number 合成数
6521040764224739111409285191159922609791635285656759784401722126371271130163666038019354109824271481828748005175656145009924272231906646163442868806473929058776595177769891541763037449130967837539691552988851887165541830345823799<229>
prime factors 素因数
127207898753030805996971983<27>
12131834538532329206059843232477145575663<41>
4225482989019066228716262075170134462242986790764860698559607824754979213876931580601896346958644344215889036596343677957928340066380422862331563509891802663731831<163>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3469138806
Step 1 took 18089ms
Step 2 took 11532ms
********** Factor found in step 2: 127207898753030805996971983
Found probable prime factor of 27 digits: 127207898753030805996971983
--
Input number is 6521040764224739111409285191159922609791635285656759784401722126371271130163666038019354109824271481828748005175656145009924272231906646163442868806473929058776595177769891541763037449130967837539691552988851887165541830345823799 (229 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2731943887
Step 1 took 16897ms
Step 2 took 10749ms
********** Factor found in step 2: 12131834538532329206059843232477145575663
Found probable prime factor of 41 digits: 12131834538532329206059843232477145575663

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:49:05 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 5 秒 (日本時間)

154×10245-19

c245

name 名前Serge Batalov
date 日付December 18, 2014 02:02:24 UTC 2014 年 12 月 18 日 (木) 11 時 2 分 24 秒 (日本時間)
composite number 合成数
28051001821493624772313296903460837887067395264116575591985428051001821493624772313296903460837887067395264116575591985428051001821493624772313296903460837887067395264116575591985428051001821493624772313296903460837887067395264116575591985428051<245>
prime factors 素因数
14636071385694437032832159358434256198127<41>
composite cofactor 合成数の残り
1916566343678207615368461242648730129410733668213621765892214332687409131229894718118637751342536518544243515822239053544595102186399783511702101070474821344828716569636929083484234693231830831612077301213<205>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2530593836
Step 1 took 79926ms
Step 2 took 32353ms
********** Factor found in step 2: 14636071385694437032832159358434256198127
Found probable prime factor of 41 digits: 14636071385694437032832159358434256198127
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:58:00 UTC 2014 年 12 月 9 日 (火) 9 時 58 分 0 秒 (日本時間)
4511e62000 / 39621000Serge BatalovDecember 18, 2014 00:19:05 UTC 2014 年 12 月 18 日 (木) 9 時 19 分 5 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 01:48:54 UTC 2014 年 12 月 18 日 (木) 10 時 48 分 54 秒 (日本時間)

154×10246-19

c237

composite cofactor 合成数の残り
560559802184208363959322020736760712370318504637766587559847490649935781841543927956478895737990297111410689637472928825276639268197846104657183524435810073233825283335901234673147348538740655421400955725334726354231510578621416733250263<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:06 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 6 秒 (日本時間)
4511e6585 / 4409427CypJuly 11, 2015 07:22:25 UTC 2015 年 7 月 11 日 (土) 16 時 22 分 25 秒 (日本時間)
158CypJuly 28, 2015 15:30:29 UTC 2015 年 7 月 29 日 (水) 0 時 30 分 29 秒 (日本時間)

154×10248-19

c203

name 名前Cyp
date 日付December 9, 2014 04:57:07 UTC 2014 年 12 月 9 日 (火) 13 時 57 分 7 秒 (日本時間)
composite number 合成数
16429233279392465528401230134161650098901702060885749842001849521385845301389186107685314080691892989878113297538589002940449176557747658544770094297252911079006983718855253451320787046499274299026245141<203>
prime factors 素因数
1427687133083916272823314154404399<34>
composite cofactor 合成数の残り
11507586570388171842004427628227920627804740251704034217742406347642977014186868548333650956637501089748335743751566220445157241750487308597950836407672694964099730974459<170>
factorization results 素因数分解の結果
Run 50 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3376802831
Step 1 took 18746ms
Step 2 took 6341ms
********** Factor found in step 2: 1427687133083916272823314154404399
Found probable prime factor of 34 digits: 1427687133083916272823314154404399
Composite cofactor 11507586570388171842004427628227920627804740251704034217742406347642977014186868548333650956637501089748335743751566220445157241750487308597950836407672694964099730974459 has 170 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 KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62600280CypDecember 9, 2014 04:57:07 UTC 2014 年 12 月 9 日 (火) 13 時 57 分 7 秒 (日本時間)
2320Serge BatalovDecember 9, 2014 19:26:01 UTC 2014 年 12 月 10 日 (水) 4 時 26 分 1 秒 (日本時間)
4511e62000Serge BatalovDecember 22, 2014 02:52:46 UTC 2014 年 12 月 22 日 (月) 11 時 52 分 46 秒 (日本時間)
5043e62000 / 7006Serge BatalovFebruary 5, 2015 02:55:45 UTC 2015 年 2 月 5 日 (木) 11 時 55 分 45 秒 (日本時間)

154×10250-19

c247

name 名前Serge Batalov
date 日付December 9, 2014 01:36:25 UTC 2014 年 12 月 9 日 (火) 10 時 36 分 25 秒 (日本時間)
composite number 合成数
8680115208801862279262979308634460057378943393248674027855278806427794405271197235890585456861518343788926653026485624263740227824842038812515147928327048704464622894085685137275458383356724552889520169994983569781926196474971395074880084772034247<247>
prime factors 素因数
1042842054567810136030114310317<31>
composite cofactor 合成数の残り
8323518571946355422560410505118726888606556442009459186591972574963982812279500661914120306947970886979351560211626159836652177791042369670077780265471154137220457331990792175816084105985458579054673739415734096996291<217>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3187353333
Step 1 took 20973ms
********** Factor found in step 1: 1042842054567810136030114310317
Found probable prime factor of 31 digits: 1042842054567810136030114310317
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:58:01 UTC 2014 年 12 月 9 日 (火) 9 時 58 分 1 秒 (日本時間)

154×10251-19

c222

composite cofactor 合成数の残り
502173380514283874835560936005105650582095699027555383159002961055519645991993576772121626616719413638946923337271668517913904499828886642945625302916847508719773500820653134860345744884242120213706669473112039377440621649<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 16, 2022 10:57:24 UTC 2022 年 1 月 16 日 (日) 19 時 57 分 24 秒 (日本時間)

154×10252-19

c243

name 名前Ignacio Santos
date 日付January 16, 2022 10:58:10 UTC 2022 年 1 月 16 日 (日) 19 時 58 分 10 秒 (日本時間)
composite number 合成数
328981337358262802647210084695520198109826625010583431361362013629121632018033349865072570451869794500115266529526109700187177403070341241314364083217818955355948901528881701045888599973353336690815049096578465948329808173237225290003645224153<243>
prime factors 素因数
98700279854093037092149032080028387791<38>
3333134798043028631652732801062875655781788389878164533799929113266449561064649614999405304846366491689247378922330267122107652697546691868978965024431221908359661654188575950205579971926226037203903162583<205>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3332135289
Step 1 took 13875ms
Step 2 took 5485ms
********** Factor found in step 2: 98700279854093037092149032080028387791
Found prime factor of 38 digits: 98700279854093037092149032080028387791
Prime cofactor 3333134798043028631652732801062875655781788389878164533799929113266449561064649614999405304846366491689247378922330267122107652697546691868978965024431221908359661654188575950205579971926226037203903162583 has 205 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)

154×10253-19

c230

composite cofactor 合成数の残り
27083738670378290543135585665484777093692040157945285774022473054716427044750934533523738653284645460006536549675623743243084538537155310853753646797156489472065893339111681287469833675413120996425974998204131624738523363647303833<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 16, 2022 12:07:53 UTC 2022 年 1 月 16 日 (日) 21 時 7 分 53 秒 (日本時間)

154×10254-19

c219

composite cofactor 合成数の残り
981468314374552132556118061790139787005521621327760092086388790669596730234773912796152807905897519610944638179418807613290945027816625656019758069534250103815823482709267010321987558352404276044839548773935545961983593<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 16, 2022 12:08:16 UTC 2022 年 1 月 16 日 (日) 21 時 8 分 16 秒 (日本時間)

154×10255-19

c229

composite cofactor 合成数の残り
8758432879366289029445640079362858155867982217417775506061894855750903981969862188033890324452775725164158443644666895828692392696643402370366418749719266144461729488196678445543932667528770762644122688386064078509760685692747561<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 16, 2022 12:08:41 UTC 2022 年 1 月 16 日 (日) 21 時 8 分 41 秒 (日本時間)

154×10256-19

c208

composite cofactor 合成数の残り
9470475489853064983329390844467393740881742910599518623283808787990530782372689907218684344703470545952268961350200259642188803201489715851349908163297820242395098034353251591844012106760668923102634106802847<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 16, 2022 12:09:04 UTC 2022 年 1 月 16 日 (日) 21 時 9 分 4 秒 (日本時間)

154×10260-19

c235

composite cofactor 合成数の残り
1014749977311182175547658997861502201116018045835122802840691786831648839774861693037637124562710854669698699399488331456160416552543741767238152551066896605818949552774277880292554844402185416944293100810880119426175288869429408344253<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 16, 2022 12:09:52 UTC 2022 年 1 月 16 日 (日) 21 時 9 分 52 秒 (日本時間)

154×10261-19

c190

composite cofactor 合成数の残り
2524752700393575961337070779047324529954486635222084275687889103104447852656643761632145667200016047352120255744825860461668235792064570316183947982938826865909456821387359420416192764651897<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6900Dmitry DomanovJanuary 10, 2017 10:11:24 UTC 2017 年 1 月 10 日 (火) 19 時 11 分 24 秒 (日本時間)
4511e6360 / 4240Dmitry DomanovJanuary 10, 2017 10:25:57 UTC 2017 年 1 月 10 日 (火) 19 時 25 分 57 秒 (日本時間)

154×10262-19

c229

name 名前KTakahashi
date 日付December 19, 2015 20:25:57 UTC 2015 年 12 月 20 日 (日) 5 時 25 分 57 秒 (日本時間)
composite number 合成数
1073746478809078286422867361282365982565310997407277963387051895818638304447693617165193825105282130665416205823992033352689665102119026147740151486783031132773031814832328865600095993142243592690045504679081977508296422520794003<229>
prime factors 素因数
7140378796015882472932953696142409<34>
150376683014099569182736753933687175348447923078901429400471270939173215572301939657727091219372057284256389978422213417556344547964599426020092499663269567500646280701215937261090763684701321467<195>
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 1073746478809078286422867361282365982565310997407277963387051895818638304447693617165193825105282130665416205823992033352689665102119026147740151486783031132773031814832328865600095993142243592690045504679081977508296422520794003 (229 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2924937575
Step 1 took 6989ms
Step 2 took 1466ms
********** Factor found in step 2: 7140378796015882472932953696142409
Found probable prime factor of 34 digits: 7140378796015882472932953696142409
Probable prime cofactor 150376683014099569182736753933687175348447923078901429400471270939173215572301939657727091219372057284256389978422213417556344547964599426020092499663269567500646280701215937261090763684701321467 has 195 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)

154×10264-19

c243

composite cofactor 合成数の残り
118656901044957846090756191894358233121096795667724403087832643785422316699687709623351334080210885385501250732244889006205986512083172245129718386963258594087363658713196838440158738410595024986733248811462548622182861104874644627776846700897<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 16, 2022 12:28:09 UTC 2022 年 1 月 16 日 (日) 21 時 28 分 9 秒 (日本時間)

154×10266-19

c257

composite cofactor 合成数の残り
14492277047112642674658946759262163106140797529104709894945471536435214405668922874121393794590183368812418962332176589131940164304810735767113466964209580305574203850882833408554989646146380638051701779376018082705469988653476017658951195025384693089575019<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 16, 2022 12:57:28 UTC 2022 年 1 月 16 日 (日) 21 時 57 分 28 秒 (日本時間)

154×10267-19

c228

composite cofactor 合成数の残り
103664303470882497226816948231087129610681673770338115691992348659728256154678156793479342484264905000079691871353060370344727935159995882361931352084251540057195698784449225116117754996637268172911034002239504720491778926833809<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 16, 2022 13:11:35 UTC 2022 年 1 月 16 日 (日) 22 時 11 分 35 秒 (日本時間)

154×10268-19

c220

composite cofactor 合成数の残り
3425678209368385667871384958008800646439831494255693837777200229699202433969924109499837946852353547343599271161805161317342388360781760903661721686589912797261487591796499573421097644725334405310606804978645532745719647<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 16, 2022 13:13:22 UTC 2022 年 1 月 16 日 (日) 22 時 13 分 22 秒 (日本時間)

154×10269-19

c268

name 名前KTakahashi
date 日付December 19, 2015 20:28:00 UTC 2015 年 12 月 20 日 (日) 5 時 28 分 0 秒 (日本時間)
composite number 合成数
3128173877716839325614462725980093438959983749746089782652853950842981921592524883201300020312817387771683932561446272598009343895998374974608978265285395084298192159252488320130002031281738777168393256144627259800934389599837497460897826528539508429819215925248832013<268>
prime factors 素因数
91529334923227541910499068676577588707<38>
34176735582539426575763126109717503258732190660042827908686658341764901857830869138300772680234806975542870112723661975360388748207173985095162634681826636527024820582370464636350114437221363128684676625754045238766291084203866959<230>
factorization results 素因数分解の結果
Input number is 3128173877716839325614462725980093438959983749746089782652853950842981921592524883201300020312817387771683932561446272598009343895998374974608978265285395084298192159252488320130002031281738777168393256144627259800934389599837497460897826528539508429819215925248832013 (268 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1697079074
Step 1 took 8736ms
Step 2 took 4461ms
********** Factor found in step 2: 91529334923227541910499068676577588707
Found probable prime factor of 38 digits: 91529334923227541910499068676577588707
Probable prime cofactor
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovDecember 19, 2015 17:02:11 UTC 2015 年 12 月 20 日 (日) 2 時 2 分 11 秒 (日本時間)

154×10271-19

c248

composite cofactor 合成数の残り
91600380387406490999740034028438047609494692685877937714749682168576520903106223827753565403850026136987551287658215681415304144553546208700283002742522731084325908482419263489466001927879488721463532321452346300392081615978386545098675446307925119<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 16, 2022 13:30:58 UTC 2022 年 1 月 16 日 (日) 22 時 30 分 58 秒 (日本時間)

154×10274-19

c258

composite cofactor 合成数の残り
372403174109940585872512477136915438748967778701552653355108306233877249334831986099225100674691037495272968861520315460893965285673312551629218743441451268628817359195780964784715416095528085760372933463458881662579596976323686912850244642843574826214342491<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 16, 2022 13:50:54 UTC 2022 年 1 月 16 日 (日) 22 時 50 分 54 秒 (日本時間)

154×10275-19

c233

composite cofactor 合成数の残り
18343152606579555957254382320768772371098494714989299881980685151725790232618411018022071584268601630674543578627975557252152574598566285073381587324064226975979372945932335864356193319115176021295954995176781455077322711900081447747<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 16, 2022 14:17:56 UTC 2022 年 1 月 16 日 (日) 23 時 17 分 56 秒 (日本時間)

154×10277-19

c271

composite cofactor 合成数の残り
1933645233574104685310419476596915324315392057513781312451130020328299335323639394706311426454998257528243723184476288241508733775157959698863081517891267861409051626129156685745580058343827408079939264554785298021671615235225450270920585229181138949663421360812400904841<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 16, 2022 14:58:22 UTC 2022 年 1 月 16 日 (日) 23 時 58 分 22 秒 (日本時間)

154×10278-19

c228

composite cofactor 合成数の残り
157189926289332105221045034516167541875836564575502818989441393410100583975175136841952489052946987197451982983813207424759367676365129598499369822908311559510724881855003649554476501688503344539674909818687037512972023855860569<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 16, 2022 14:58:35 UTC 2022 年 1 月 16 日 (日) 23 時 58 分 35 秒 (日本時間)

154×10280-19

c259

composite cofactor 合成数の残り
7799950769558445042358532741894481986453564676958173868416720367573731463480627225021162205491360282431866680852884955740922471970584797741041710970908830660559714297166571949322036115252384793336063037619221653721955409915693640388123991059939922525500009953<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 16, 2022 14:59:05 UTC 2022 年 1 月 16 日 (日) 23 時 59 分 5 秒 (日本時間)

154×10281-19

c215

composite cofactor 合成数の残り
28816745784358175153697559296702537068255196920872687976957594854544535101195171549727116438665278120048250859048933296176631295377973383158646045964700251037967859016387081195091404807264476757758877614794182058853<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 16, 2022 15:12:50 UTC 2022 年 1 月 17 日 (月) 0 時 12 分 50 秒 (日本時間)

154×10283-19

c241

composite cofactor 合成数の残り
1362245698199965130494827912980832236846705432639963049429359280160535787315129795633762547350249977367150562795803635726393227456043147420968454430136555486068241432566649145383280388808091714279835051279433911988324331179458715260481075463<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 16, 2022 15:40:55 UTC 2022 年 1 月 17 日 (月) 0 時 40 分 55 秒 (日本時間)

154×10285-19

c241

name 名前Ignacio Santos
date 日付January 16, 2022 15:40:27 UTC 2022 年 1 月 17 日 (月) 0 時 40 分 27 秒 (日本時間)
composite number 合成数
4670412783058006764619916177142196711775726836649005524791007227621079335897347309892787405549055996624603546493899390388238705930974585127362789384416251526932208447962622583573555753068748578841098868956951209771539046301073504278269778201<241>
prime factors 素因数
1311170588401197600101814297395304251<37>
composite cofactor 合成数の残り
3562017653822580887839440747431964010810846207677513025703416720004850186441982167707791099152225142296286634520545588643924173208679131040246520381980527712116273240065283059157484091150221783791240811451<205>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:933446836
Step 1 took 9969ms
Step 2 took 4656ms
********** Factor found in step 2: 1311170588401197600101814297395304251
Found prime factor of 37 digits: 1311170588401197600101814297395304251
Composite cofactor 3562017653822580887839440747431964010810846207677513025703416720004850186441982167707791099152225142296286634520545588643924173208679131040246520381980527712116273240065283059157484091150221783791240811451 has 205 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 17, 2022 17:11:44 UTC 2022 年 1 月 18 日 (火) 2 時 11 分 44 秒 (日本時間)

154×10286-19

c244

composite cofactor 合成数の残り
2647210907796263147700039103619616049772177148360162917819868669592358516068197535053146556539640689439378178557570482191585385792791793040922853281461657399627765039076129963325964407302686592867107283810377339590005040633442915509148988018267<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 16, 2022 15:55:27 UTC 2022 年 1 月 17 日 (月) 0 時 55 分 27 秒 (日本時間)

154×10287-19

c286

composite cofactor 合成数の残り
7673143996013951170901843547583457897359242650722471350274040857000498256103637269556552067762830094668659691081215744892874937717987045341305430991529646238166417538614848031888390632785251619332336821126058794220229197807673143996013951170901843547583457897359242650722471350274040857<286>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 19, 2015 17:00:18 UTC 2015 年 12 月 20 日 (日) 2 時 0 分 18 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovJanuary 20, 2016 17:13:25 UTC 2016 年 1 月 21 日 (木) 2 時 13 分 25 秒 (日本時間)

154×10288-19

c272

name 名前KTakahashi
date 日付December 19, 2015 20:33:24 UTC 2015 年 12 月 20 日 (日) 5 時 33 分 24 秒 (日本時間)
composite number 合成数
24371437088145034244108907904084296110253697708497370894698752592392483041025279862981573374575659034443255994516104087117969388209596045508088088115524562147180725148821595635000922263729821785194781058202278380170842976809029360166182375886201372726383107400764120745203<272>
prime factors 素因数
52448861539597430225760568122281063<35>
composite cofactor 合成数の残り
464670468962329673665111242722111205693941600552631942502471406311244980843210315473648109200115550840830827268914360669315717745832892759624550422940136640125207543571360728325133920110207464844675798870088387564163864184491041367845781<237>
factorization results 素因数分解の結果
Input number is 24371437088145034244108907904084296110253697708497370894698752592392483041025279862981573374575659034443255994516104087117969388209596045508088088115524562147180725148821595635000922263729821785194781058202278380170842976809029360166182375886201372726383107400764120745203 (272 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=643125480
Step 1 took 10639ms
Step 2 took 5164ms
********** Factor found in step 2: 52448861539597430225760568122281063
Found probable prime factor of 35 digits: 52448861539597430225760568122281063
Composite cofactor
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 16, 2022 16:38:31 UTC 2022 年 1 月 17 日 (月) 1 時 38 分 31 秒 (日本時間)

154×10289-19

c201

composite cofactor 合成数の残り
240267122077889510670117051896615427750398002513764878612471331220695339383912117343416969927780027974926166796505648574558424817786725222321538176156854317490283041923106914237430566925078016377399069<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 16, 2022 16:38:45 UTC 2022 年 1 月 17 日 (月) 1 時 38 分 45 秒 (日本時間)

154×10290-19

c281

composite cofactor 合成数の残り
40126039295136637287277511745867148765443218730260471384049568308570840801006258982793590461786329353465167293537238520521120827711179222035643667040585147780870295508578539566338746390076726552744230834305699585794683347180162333542031034161282675346207847388996445967268553832613<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 16, 2022 16:44:24 UTC 2022 年 1 月 17 日 (月) 1 時 44 分 24 秒 (日本時間)

154×10292-19

c277

composite cofactor 合成数の残り
5480800670181974127434660585943592290637088180169593412700437379085591973899114048430529268332906713542177808265708791200039260815626367433777562108649399685473087328666805150219046966996748200346728079611726957119518770917528047368136253479745873054450387600193321330619872653<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 16, 2022 17:03:29 UTC 2022 年 1 月 17 日 (月) 2 時 3 分 29 秒 (日本時間)

154×10293-19

c240

composite cofactor 合成数の残り
957120807349108822677523929308756698946315225473270007477265813715327707364553353741285456600909463611998596563452803908908475995450674887095442820868335850185216850284630048049092735025431164386613760489427430306918792044847412099581281233<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 16, 2022 17:24:45 UTC 2022 年 1 月 17 日 (月) 2 時 24 分 45 秒 (日本時間)

154×10294-19

c292

composite cofactor 合成数の残り
2624001090493959685801427865528463596244611426332021332788086353490432619400569101535211027620167322666939290156588117023633048782565727819523249671999863688255039274821516808942050469423571708497333401489205813695922574928862308098621547479084666632588730426485372045868902179284022559593791<292>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 19, 2015 16:59:44 UTC 2015 年 12 月 20 日 (日) 1 時 59 分 44 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovDecember 31, 2015 00:24:59 UTC 2015 年 12 月 31 日 (木) 9 時 24 分 59 秒 (日本時間)

154×10295-19

c296

composite cofactor 合成数の残り
57037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<296>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 19, 2015 16:59:29 UTC 2015 年 12 月 20 日 (日) 1 時 59 分 29 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovDecember 31, 2015 00:23:46 UTC 2015 年 12 月 31 日 (木) 9 時 23 分 46 秒 (日本時間)

154×10296-19

c241

composite cofactor 合成数の残り
4471849919014106903196238380985785035217532236274533812908509762796520836983866382466848657310070319852090082768074901314136962109167998880983126552372037821512147891694334591262970761780474004498568593951082933294307118558501303532671131169<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 16, 2022 17:51:06 UTC 2022 年 1 月 17 日 (月) 2 時 51 分 6 秒 (日本時間)

154×10297-19

c268

composite cofactor 合成数の残り
6387059744980326589661684411699179382915466930702965808180327017688708204611401159620099465892636035795117051150440955389176740831903359147035039866105181601299348575641243436615613006064236747909958926969771310061010080847821065264676725424179676558849670377137904487<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 16, 2022 18:09:58 UTC 2022 年 1 月 17 日 (月) 3 時 9 分 58 秒 (日本時間)

154×10298-19

c271

name 名前Ignacio Santos
date 日付January 16, 2022 18:14:50 UTC 2022 年 1 月 17 日 (月) 3 時 14 分 50 秒 (日本時間)
composite number 合成数
6184600926111443357059366987977493236400509181788712453174709333619350229047610579800547999077999212886934146125103763709787499625913332296118584713918041396971519491242489349885623694793618889926971535815078257066687988276559607906729452442013868882913402671234515682127<271>
prime factors 素因数
195363544711464292690955736484108692007<39>
31656883249357420068378395017910131603747202559246872382685161408768777478430796944087189776518086707696946456727323336278439248232997360267966109761811941064046624558707084586586654094005994638220565384602087797892925829841407467161<233>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4100948681
Step 1 took 17125ms
Step 2 took 6141ms
********** Factor found in step 2: 195363544711464292690955736484108692007
Found prime factor of 39 digits: 195363544711464292690955736484108692007
Prime cofactor 31656883249357420068378395017910131603747202559246872382685161408768777478430796944087189776518086707696946456727323336278439248232997360267966109761811941064046624558707084586586654094005994638220565384602087797892925829841407467161 has 233 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)

154×10299-19

c251

composite cofactor 合成数の残り
46499342877591818923034461398236669878039376990937077296303874434417404497565795500830598924569712938222295494758719539284931225854240397944152847807033892062497616501900945284133973316825311713418714686418296355713117888339948069178939016195818514257<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 16, 2022 18:29:49 UTC 2022 年 1 月 17 日 (月) 3 時 29 分 49 秒 (日本時間)