Table of contents 目次

7×10100-979

c98

name 名前KTakahashi
date 日付January 8, 2015 13:20:48 UTC 2015 年 1 月 8 日 (木) 22 時 20 分 48 秒 (日本時間)
composite number 合成数
83632019115890083632019115890083632019115890083632019115890083632019115890083632019115890083632019<98>
prime factors 素因数
982863619360523323529617193342060136467231<42>
85090156425062567747764553950662026395029388691400596749<56>
factorization results 素因数分解の結果
Number: 77767_100
N=83632019115890083632019115890083632019115890083632019115890083632019115890083632019115890083632019
  ( 98 digits)
SNFS difficulty: 100 digits.
Divisors found:
 r1=982863619360523323529617193342060136467231 (pp42)
 r2=85090156425062567747764553950662026395029388691400596749 (pp56)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 0.22 hours.
Scaled time: 0.43 units (timescale=1.902).
Factorization parameters were as follows:
n: 83632019115890083632019115890083632019115890083632019115890083632019115890083632019115890083632019
m: 10000000000000000000000000
c4: 7
c0: -97
skew: 1.93
type: snfs
Factor base limits: 300000/350000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [150000, 240001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 25191 x 25421
Total sieving time: 0.21 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,100.000,4,0,0,0,0,0,0,0,0,300000,350000,25,25,43,43,2.1,2.1,10000
total time: 0.22 hours.
 --------- CPU info (if available) ----------

ECM

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

7×10108-979

c99

name 名前KTakahashi
date 日付January 8, 2015 13:33:32 UTC 2015 年 1 月 8 日 (木) 22 時 33 分 32 秒 (日本時間)
composite number 合成数
269977596720226009048403828249445935169905356350161802400528178523834855901089765151541436639154273<99>
prime factors 素因数
8542260465476484022405089466455686001952639<43>
31604936165472772426920287940826547399744840822867122207<56>
factorization results 素因数分解の結果
Number: 77767_108
N=269977596720226009048403828249445935169905356350161802400528178523834855901089765151541436639154273
  ( 99 digits)
SNFS difficulty: 109 digits.
Divisors found:
 r1=8542260465476484022405089466455686001952639 (pp43)
 r2=31604936165472772426920287940826547399744840822867122207 (pp56)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.47 hours.
Scaled time: 2.52 units (timescale=1.709).
Factorization parameters were as follows:
n: 269977596720226009048403828249445935169905356350161802400528178523834855901089765151541436639154273
m: 2000000000000000000000
c5: 875
c0: -388
skew: 0.85
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 : 75756 x 75987
Total sieving time: 1.43 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,109.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.47 hours.
 --------- CPU info (if available) ----------

ECM

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

7×10128-979

c110

name 名前KTakahashi
date 日付January 8, 2015 14:39:42 UTC 2015 年 1 月 8 日 (木) 23 時 39 分 42 秒 (日本時間)
composite number 合成数
70225011080557965981305171591137842793946811227253077803339952729971647636073423780510678329007298393661891613<110>
prime factors 素因数
975836472910578908089004123570761<33>
71963913042829111044902405959838329929530646187338260441994736302133526516533<77>
factorization results 素因数分解の結果
Number: 77767_128
N=70225011080557965981305171591137842793946811227253077803339952729971647636073423780510678329007298393661891613
  ( 110 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=975836472910578908089004123570761 (pp33)
 r2=71963913042829111044902405959838329929530646187338260441994736302133526516533 (pp77)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 3.70 hours.
Scaled time: 7.64 units (timescale=2.068).
Factorization parameters were as follows:
n: 70225011080557965981305171591137842793946811227253077803339952729971647636073423780510678329007298393661891613
m: 20000000000000000000000000
c5: 875
c0: -388
skew: 0.85
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [400000, 1100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 123209 x 123457
Total sieving time: 3.62 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,129.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 3.70 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 14:39:10 UTC 2015 年 1 月 8 日 (木) 23 時 39 分 10 秒 (日本時間)

7×10129-979

c105

name 名前KTakahashi
date 日付January 8, 2015 14:52:58 UTC 2015 年 1 月 8 日 (木) 23 時 52 分 58 秒 (日本時間)
composite number 合成数
625786077024685376432698805305094287125654671554394458087700902226713814273728545562049405170099788938287<105>
prime factors 素因数
52790308865977189063861305870165769<35>
11854184801483479569781794341444643683973725678565625699034113565122423<71>
factorization results 素因数分解の結果
Input number is 625786077024685376432698805305094287125654671554394458087700902226713814273728545562049405170099788938287 (105 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3652730458
Step 1 took 3011ms
Step 2 took 1950ms
********** Factor found in step 2: 52790308865977189063861305870165769
Found probable prime factor of 35 digits: 52790308865977189063861305870165769
Probable prime cofactor 11854184801483479569781794341444643683973725678565625699034113565122423 has 71 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

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

7×10130-979

c117

name 名前KTakahashi
date 日付January 8, 2015 14:56:43 UTC 2015 年 1 月 8 日 (木) 23 時 56 分 43 秒 (日本時間)
composite number 合成数
311437071257105561092400602382565805894111618599570954060434728278965121514116777486386919479946987232018092441214609<117>
prime factors 素因数
229579133229499179855349032412198788407<39>
1356556525308321253686060577023074382374079200195507923244940346258991668397687<79>
factorization results 素因数分解の結果
Number: 77767_130
N=311437071257105561092400602382565805894111618599570954060434728278965121514116777486386919479946987232018092441214609
  ( 117 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=229579133229499179855349032412198788407 (pp39)
 r2=1356556525308321253686060577023074382374079200195507923244940346258991668397687 (pp79)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.64 hours.
Scaled time: 4.64 units (timescale=1.761).
Factorization parameters were as follows:
n: 311437071257105561092400602382565805894111618599570954060434728278965121514116777486386919479946987232018092441214609
m: 100000000000000000000000000
c5: 7
c0: -97
skew: 1.69
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [400000, 850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 112735 x 112970
Total sieving time: 2.56 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,130.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 2.64 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 14:56:12 UTC 2015 年 1 月 8 日 (木) 23 時 56 分 12 秒 (日本時間)

7×10138-979

c118

name 名前KTakahashi
date 日付January 8, 2015 15:38:09 UTC 2015 年 1 月 9 日 (金) 0 時 38 分 9 秒 (日本時間)
composite number 合成数
2994713355296785362988680100129640501483133799885280853778558523731025008320333165107339567538109589625273012438042059<118>
prime factors 素因数
21351425367115013951346437902957366568143<41>
140258240553306368332338846699746872305980583918911519092048651520308556793413<78>
factorization results 素因数分解の結果
Number: 77767_138
N=2994713355296785362988680100129640501483133799885280853778558523731025008320333165107339567538109589625273012438042059
  ( 118 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=21351425367115013951346437902957366568143 (pp41)
 r2=140258240553306368332338846699746872305980583918911519092048651520308556793413 (pp78)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 10.39 hours.
Scaled time: 16.51 units (timescale=1.589).
Factorization parameters were as follows:
n: 2994713355296785362988680100129640501483133799885280853778558523731025008320333165107339567538109589625273012438042059
m: 2000000000000000000000000000
c5: 875
c0: -388
skew: 0.85
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [500000, 2675001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 186101 x 186327
Total sieving time: 10.23 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,139.000,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 10.39 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:37:38 UTC 2015 年 1 月 9 日 (金) 0 時 37 分 38 秒 (日本時間)

7×10139-979

c101

name 名前KTakahashi
date 日付January 8, 2015 15:38:56 UTC 2015 年 1 月 9 日 (金) 0 時 38 分 56 秒 (日本時間)
composite number 合成数
17663868310881443771948124227101156945248358542004724030803143069885071324453663686939510018385447281<101>
prime factors 素因数
4556858495921207281305070170150868737729847<43>
3876325834276437014685425227498120599065201193880795126423<58>
factorization results 素因数分解の結果
Number: 77767_139
N=17663868310881443771948124227101156945248358542004724030803143069885071324453663686939510018385447281
  ( 101 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=4556858495921207281305070170150868737729847 (pp43)
 r2=3876325834276437014685425227498120599065201193880795126423 (pp58)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 7.79 hours.
Scaled time: 13.07 units (timescale=1.678).
Factorization parameters were as follows:
n: 17663868310881443771948124227101156945248358542004724030803143069885071324453663686939510018385447281
m: 5000000000000000000000000000
c5: 112
c0: -485
skew: 1.34
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved rational special-q in [650000, 1850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 224677 x 224903
Total sieving time: 7.55 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,140.000,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 7.79 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:38:23 UTC 2015 年 1 月 9 日 (金) 0 時 38 分 23 秒 (日本時間)

7×10140-979

c98

name 名前KTakahashi
date 日付January 8, 2015 15:39:52 UTC 2015 年 1 月 9 日 (金) 0 時 39 分 52 秒 (日本時間)
composite number 合成数
79910839474172660469979110965606477930163940298627250143381234445774354150095864301976171649578337<98>
prime factors 素因数
98686544256388830427609384768572338287860402443<47>
809744024135279650447469876785388063858662081099459<51>
factorization results 素因数分解の結果
Number: 77767_140
N=79910839474172660469979110965606477930163940298627250143381234445774354150095864301976171649578337
  ( 98 digits)
Divisors found:
 r1=98686544256388830427609384768572338287860402443 (pp47)
 r2=809744024135279650447469876785388063858662081099459 (pp51)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 5.73 hours.
Scaled time: 10.01 units (timescale=1.747).
Factorization parameters were as follows:
name: 77767_140
n: 79910839474172660469979110965606477930163940298627250143381234445774354150095864301976171649578337
skew: 1579.60
# norm 1.81e+013
c5: 205920
c4: 1629103416
c3: -3808586381910
c2: -3360630276684866
c1: 2623127130692006643
c0: 1504325156627600243885
# alpha -4.87
Y1: 2334168721
Y0: -3294435019622583084
# Murphy_E 4.16e-009
# M 7586894075431985973453922874367517574721584734812171553567958444361263418220154380857431823531338
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 159279 x 159504
Polynomial selection time: 0.29 hours.
Total sieving time: 5.28 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,97,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 5.73 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:39:12 UTC 2015 年 1 月 9 日 (金) 0 時 39 分 12 秒 (日本時間)

7×10141-979

c118

name 名前Jo Yeong Uk
date 日付January 13, 2015 21:30:18 UTC 2015 年 1 月 14 日 (水) 6 時 30 分 18 秒 (日本時間)
composite number 合成数
8519947027334171957878036986354447033288890074287123572376980334500801232643408070142208247865197422028455627703355643<118>
prime factors 素因数
33560966888984656301851452964573406102295937<44>
253864766635510123375451824225493392682988064920672343079348969579276809339<75>
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 8519947027334171957878036986354447033288890074287123572376980334500801232643408070142208247865197422028455627703355643 (118 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4729537695
Step 1 took 5425ms
Step 2 took 2250ms
********** Factor found in step 2: 33560966888984656301851452964573406102295937
Found probable prime factor of 44 digits: 33560966888984656301851452964573406102295937
Probable prime cofactor 253864766635510123375451824225493392682988064920672343079348969579276809339 has 75 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
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:40:21 UTC 2015 年 1 月 9 日 (金) 0 時 40 分 21 秒 (日本時間)

7×10142-979

c137

name 名前KTakahashi
date 日付January 8, 2015 15:42:26 UTC 2015 年 1 月 9 日 (金) 0 時 42 分 26 秒 (日本時間)
composite number 合成数
69770246578018584800252767636174078758647772883893339233902758217190790726138824849769708350402125799741451400538028272897349029645377771<137>
prime factors 素因数
62043337686411652486920579249671<32>
1124540509581566757601799923934819107017306708910289301851184950678777341359881405535644905183662874191101<106>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [P-1]
Input number is 69770246578018584800252767636174078758647772883893339233902758217190790726138824849769708350402125799741451400538028272897349029645377771 (137 digits)
Using B1=8000000, B2=126228774618, polynomial x^1, x0=2270268000
Step 1 took 2512ms
Step 2 took 5210ms
********** Factor found in step 2: 62043337686411652486920579249671
Found probable prime factor of 32 digits: 62043337686411652486920579249671
Probable prime cofactor 1124540509581566757601799923934819107017306708910289301851184950678777341359881405535644905183662874191101 has 106 digits

ECM

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

7×10143-979

c112

name 名前Jo Yeong Uk
date 日付January 17, 2015 11:00:29 UTC 2015 年 1 月 17 日 (土) 20 時 0 分 29 秒 (日本時間)
composite number 合成数
7841809511404622262386848124683087840766948208354831565292928136777679348091268169958673405858210725228113283269<112>
prime factors 素因数
100588125316223108583443659988378312658239173<45>
77959594999429572703148994771524825174462158329328781864064739082753<68>
factorization results 素因数分解の結果
Number: 77767_143
N=7841809511404622262386848124683087840766948208354831565292928136777679348091268169958673405858210725228113283269
  ( 112 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=100588125316223108583443659988378312658239173
 r2=77959594999429572703148994771524825174462158329328781864064739082753
Version: 
Total time: 3.58 hours.
Scaled time: 18.38 units (timescale=5.132).
Factorization parameters were as follows:
n: 7841809511404622262386848124683087840766948208354831565292928136777679348091268169958673405858210725228113283269
m: 20000000000000000000000000000
deg: 5
c5: 875
c0: -388
skew: 0.85
# Murphy_E = 1.659e-09
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [1150000, 2500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4578473
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 341061 x 341309
Total sieving time: 3.17 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,2300000,2300000,26,26,48,48,2.3,2.3,50000
total time: 3.58 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:42:46 UTC 2015 年 1 月 9 日 (金) 0 時 42 分 46 秒 (日本時間)
403e60 / 1931--
4511e650 / 4439Pierre JammesJanuary 9, 2015 19:00:31 UTC 2015 年 1 月 10 日 (土) 4 時 0 分 31 秒 (日本時間)

7×10144-979

c134

name 名前Cyp
date 日付January 16, 2015 07:44:57 UTC 2015 年 1 月 16 日 (金) 16 時 44 分 57 秒 (日本時間)
composite number 合成数
57959056779032481971743958469877558948731291850099057147890046413794742886150266440927464056056721504201742289008346639875182755492867<134>
prime factors 素因数
7402420707891042426672960415944698604006239776714599343577<58>
7829743683339646229041831294835340827470706866617175428649936601797473235771<76>
factorization results 素因数分解の結果
01/16/15 07:42:56 v1.34.3, 
01/16/15 07:42:56 v1.34.3, ****************************
01/16/15 07:42:56 v1.34.3, Starting factorization of 57959056779032481971743958469877558948731291850099057147890046413794742886150266440927464056056721504201742289008346639875182755492867
01/16/15 07:42:56 v1.34.3, using pretesting plan: none
01/16/15 07:42:56 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/16/15 07:42:56 v1.34.3, ****************************
01/16/15 07:42:56 v1.34.3, nfs: commencing nfs on c134: 57959056779032481971743958469877558948731291850099057147890046413794742886150266440927464056056721504201742289008346639875182755492867
01/16/15 07:42:56 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/16/15 07:42:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 07:43:40 v1.34.3, nfs: commencing lattice sieving with 8 threads
[70 lines snipped]
01/16/15 08:38:36 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 08:39:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 08:40:10 v1.34.3, nfs: commencing msieve filtering
01/16/15 08:40:58 v1.34.3, nfs: commencing msieve linear algebra
01/16/15 08:43:28 v1.34.3, nfs: commencing msieve sqrt
01/16/15 08:44:56 v1.34.3, prp76 = 7829743683339646229041831294835340827470706866617175428649936601797473235771
01/16/15 08:44:56 v1.34.3, prp58 = 7402420707891042426672960415944698604006239776714599343577
01/16/15 08:44:56 v1.34.3, NFS elapsed time = 3720.4224 seconds.
01/16/15 08:44:56 v1.34.3, 
01/16/15 08:44:56 v1.34.3, 
01/16/15 08:44:56 v1.34.3, Total factoring time = 3720.4231 seconds
--
Fri Jan 16 08:40:10 2015  
Fri Jan 16 08:40:10 2015  commencing relation filtering
Fri Jan 16 08:40:10 2015  estimated available RAM is 15987.3 MB
Fri Jan 16 08:40:10 2015  commencing duplicate removal, pass 1
Fri Jan 16 08:40:22 2015  found 686883 hash collisions in 4504480 relations
Fri Jan 16 08:40:26 2015  added 182025 free relations
Fri Jan 16 08:40:26 2015  commencing duplicate removal, pass 2
Fri Jan 16 08:40:29 2015  found 545312 duplicates and 4141193 unique relations
Fri Jan 16 08:40:29 2015  memory use: 20.6 MB
Fri Jan 16 08:40:29 2015  reading ideals above 100000
Fri Jan 16 08:40:29 2015  commencing singleton removal, initial pass
Fri Jan 16 08:40:46 2015  memory use: 94.1 MB
Fri Jan 16 08:40:46 2015  reading all ideals from disk
Fri Jan 16 08:40:46 2015  memory use: 134.3 MB
Fri Jan 16 08:40:46 2015  keeping 4676251 ideals with weight <= 200, target excess is 21788
Fri Jan 16 08:40:47 2015  commencing in-memory singleton removal
Fri Jan 16 08:40:47 2015  begin with 4141193 relations and 4676251 unique ideals
Fri Jan 16 08:40:48 2015  reduce to 1599277 relations and 1469947 ideals in 15 passes
Fri Jan 16 08:40:48 2015  max relations containing the same ideal: 105
Fri Jan 16 08:40:48 2015  removing 288649 relations and 236621 ideals in 52028 cliques
Fri Jan 16 08:40:48 2015  commencing in-memory singleton removal
Fri Jan 16 08:40:48 2015  begin with 1310628 relations and 1469947 unique ideals
Fri Jan 16 08:40:48 2015  reduce to 1270246 relations and 1191271 ideals in 8 passes
Fri Jan 16 08:40:48 2015  max relations containing the same ideal: 87
Fri Jan 16 08:40:49 2015  removing 226473 relations and 174445 ideals in 52028 cliques
Fri Jan 16 08:40:49 2015  commencing in-memory singleton removal
Fri Jan 16 08:40:49 2015  begin with 1043773 relations and 1191271 unique ideals
Fri Jan 16 08:40:49 2015  reduce to 1014434 relations and 986316 ideals in 7 passes
Fri Jan 16 08:40:49 2015  max relations containing the same ideal: 75
Fri Jan 16 08:40:49 2015  relations with 0 large ideals: 501
Fri Jan 16 08:40:49 2015  relations with 1 large ideals: 136
Fri Jan 16 08:40:49 2015  relations with 2 large ideals: 2243
Fri Jan 16 08:40:49 2015  relations with 3 large ideals: 18203
Fri Jan 16 08:40:49 2015  relations with 4 large ideals: 80117
Fri Jan 16 08:40:49 2015  relations with 5 large ideals: 199184
Fri Jan 16 08:40:49 2015  relations with 6 large ideals: 301615
Fri Jan 16 08:40:49 2015  relations with 7+ large ideals: 412435
Fri Jan 16 08:40:49 2015  commencing 2-way merge
Fri Jan 16 08:40:49 2015  reduce to 620644 relation sets and 592526 unique ideals
Fri Jan 16 08:40:49 2015  commencing full merge
Fri Jan 16 08:40:56 2015  memory use: 78.6 MB
Fri Jan 16 08:40:56 2015  found 312239 cycles, need 306726
Fri Jan 16 08:40:56 2015  weight of 306726 cycles is about 21846406 (71.22/cycle)
Fri Jan 16 08:40:56 2015  distribution of cycle lengths:
Fri Jan 16 08:40:56 2015  1 relations: 27828
Fri Jan 16 08:40:56 2015  2 relations: 31270
Fri Jan 16 08:40:56 2015  3 relations: 32225
Fri Jan 16 08:40:56 2015  4 relations: 30181
Fri Jan 16 08:40:56 2015  5 relations: 28620
Fri Jan 16 08:40:56 2015  6 relations: 25989
Fri Jan 16 08:40:56 2015  7 relations: 23547
Fri Jan 16 08:40:56 2015  8 relations: 20251
Fri Jan 16 08:40:56 2015  9 relations: 17767
Fri Jan 16 08:40:56 2015  10+ relations: 69048
Fri Jan 16 08:40:56 2015  heaviest cycle: 23 relations
Fri Jan 16 08:40:56 2015  commencing cycle optimization
Fri Jan 16 08:40:56 2015  start with 1977964 relations
Fri Jan 16 08:40:58 2015  pruned 57357 relations
Fri Jan 16 08:40:58 2015  memory use: 61.3 MB
Fri Jan 16 08:40:58 2015  distribution of cycle lengths:
Fri Jan 16 08:40:58 2015  1 relations: 27828
Fri Jan 16 08:40:58 2015  2 relations: 31908
Fri Jan 16 08:40:58 2015  3 relations: 33362
Fri Jan 16 08:40:58 2015  4 relations: 30968
Fri Jan 16 08:40:58 2015  5 relations: 29692
Fri Jan 16 08:40:58 2015  6 relations: 26557
Fri Jan 16 08:40:58 2015  7 relations: 24159
Fri Jan 16 08:40:58 2015  8 relations: 20678
Fri Jan 16 08:40:58 2015  9 relations: 17672
Fri Jan 16 08:40:58 2015  10+ relations: 63902
Fri Jan 16 08:40:58 2015  heaviest cycle: 21 relations
Fri Jan 16 08:40:58 2015  RelProcTime: 48
Fri Jan 16 08:40:58 2015  
Fri Jan 16 08:40:58 2015  commencing linear algebra
Fri Jan 16 08:40:58 2015  read 306726 cycles
Fri Jan 16 08:40:58 2015  cycles contain 980176 unique relations
Fri Jan 16 08:41:03 2015  read 980176 relations
Fri Jan 16 08:41:04 2015  using 20 quadratic characters above 67108352
Fri Jan 16 08:41:07 2015  building initial matrix
Fri Jan 16 08:41:11 2015  memory use: 115.6 MB
Fri Jan 16 08:41:11 2015  read 306726 cycles
Fri Jan 16 08:41:11 2015  matrix is 306561 x 306726 (92.2 MB) with weight 27285617 (88.96/col)
Fri Jan 16 08:41:11 2015  sparse part has weight 20808251 (67.84/col)
Fri Jan 16 08:41:13 2015  filtering completed in 2 passes
Fri Jan 16 08:41:13 2015  matrix is 306416 x 306589 (92.2 MB) with weight 27279964 (88.98/col)
Fri Jan 16 08:41:13 2015  sparse part has weight 20805668 (67.86/col)
Fri Jan 16 08:41:13 2015  matrix starts at (0, 0)
Fri Jan 16 08:41:13 2015  matrix is 306416 x 306589 (92.2 MB) with weight 27279964 (88.98/col)
Fri Jan 16 08:41:13 2015  sparse part has weight 20805668 (67.86/col)
Fri Jan 16 08:41:13 2015  saving the first 48 matrix rows for later
Fri Jan 16 08:41:13 2015  matrix includes 64 packed rows
Fri Jan 16 08:41:13 2015  matrix is 306368 x 306589 (86.6 MB) with weight 21603480 (70.46/col)
Fri Jan 16 08:41:13 2015  sparse part has weight 19645504 (64.08/col)
Fri Jan 16 08:41:13 2015  using block size 65536 for processor cache size 8192 kB
Fri Jan 16 08:41:14 2015  commencing Lanczos iteration (8 threads)
Fri Jan 16 08:41:14 2015  memory use: 83.0 MB
Fri Jan 16 08:41:19 2015  linear algebra at 4.0%, ETA 0h 2m
Fri Jan 16 08:43:28 2015  lanczos halted after 4846 iterations (dim = 306361)
Fri Jan 16 08:43:28 2015  recovered 34 nontrivial dependencies
Fri Jan 16 08:43:28 2015  BLanczosTime: 150
Fri Jan 16 08:43:28 2015  
Fri Jan 16 08:43:28 2015  commencing square root phase
Fri Jan 16 08:43:28 2015  reading relations for dependency 1
Fri Jan 16 08:43:28 2015  read 153528 cycles
Fri Jan 16 08:43:28 2015  cycles contain 491436 unique relations
Fri Jan 16 08:43:32 2015  read 491436 relations
Fri Jan 16 08:43:33 2015  multiplying 491436 relations
Fri Jan 16 08:43:40 2015  multiply complete, coefficients have about 13.32 million bits
Fri Jan 16 08:43:40 2015  initial square root is modulo 45138871
Fri Jan 16 08:43:50 2015  GCD is N, no factor found
Fri Jan 16 08:43:50 2015  reading relations for dependency 2
Fri Jan 16 08:43:50 2015  read 152952 cycles
Fri Jan 16 08:43:50 2015  cycles contain 489682 unique relations
Fri Jan 16 08:43:54 2015  read 489682 relations
Fri Jan 16 08:43:55 2015  multiplying 489682 relations
Fri Jan 16 08:44:02 2015  multiply complete, coefficients have about 13.28 million bits
Fri Jan 16 08:44:02 2015  initial square root is modulo 42540331
Fri Jan 16 08:44:12 2015  Newton iteration failed to converge
Fri Jan 16 08:44:12 2015  algebraic square root failed
Fri Jan 16 08:44:12 2015  reading relations for dependency 3
Fri Jan 16 08:44:13 2015  read 153256 cycles
Fri Jan 16 08:44:13 2015  cycles contain 490616 unique relations
Fri Jan 16 08:44:16 2015  read 490616 relations
Fri Jan 16 08:44:17 2015  multiplying 490616 relations
Fri Jan 16 08:44:24 2015  multiply complete, coefficients have about 13.30 million bits
Fri Jan 16 08:44:25 2015  initial square root is modulo 43928111
Fri Jan 16 08:44:34 2015  GCD is N, no factor found
Fri Jan 16 08:44:34 2015  reading relations for dependency 4
Fri Jan 16 08:44:34 2015  read 153827 cycles
Fri Jan 16 08:44:34 2015  cycles contain 490922 unique relations
Fri Jan 16 08:44:38 2015  read 490922 relations
Fri Jan 16 08:44:39 2015  multiplying 490922 relations
Fri Jan 16 08:44:46 2015  multiply complete, coefficients have about 13.31 million bits
Fri Jan 16 08:44:46 2015  initial square root is modulo 44449211
Fri Jan 16 08:44:56 2015  sqrtTime: 88
--
n: 57959056779032481971743958469877558948731291850099057147890046413794742886150266440927464056056721504201742289008346639875182755492867
m: 50000000000000000000000000000
deg: 5
c5: 112
c0: -485
skew: 1.34
# Murphy_E = 1.643e-09
type: snfs
lss: 1
rlim: 1870000
alim: 1870000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:42:58 UTC 2015 年 1 月 9 日 (金) 0 時 42 分 58 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:07:17 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 17 秒 (日本時間)

7×10147-979

c129

name 名前Serge Batalov
date 日付January 8, 2015 23:04:28 UTC 2015 年 1 月 9 日 (金) 8 時 4 分 28 秒 (日本時間)
composite number 合成数
481298655028002212481722304104866255931061999369728280156444119802813228745001174936500296760932560541286144142624377378564626503<129>
prime factors 素因数
146151929046070373196862575636635167104449<42>
3293139257000747885595537447016770142996173521407991795854203986765291836261305418352647<88>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3542152609
Step 1 took 7582ms
Step 2 took 6860ms
********** Factor found in step 2: 146151929046070373196862575636635167104449
Found probable prime factor of 42 digits: 146151929046070373196862575636635167104449
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:43:17 UTC 2015 年 1 月 9 日 (金) 0 時 43 分 17 秒 (日本時間)

7×10148-979

c140

name 名前KTakahashi
date 日付January 8, 2015 15:45:02 UTC 2015 年 1 月 9 日 (金) 0 時 45 分 2 秒 (日本時間)
composite number 合成数
14853144159632286023221837169100840141130323561840852778198105843412343294785645174837793231443043294945486224772807532318657722652395694463<140>
prime factors 素因数
20515649578102999731160103116839153221<38>
32632436616998335942424482078481473733<38>
22186235605743758104852354931254012624526614699214407726483272791<65>
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 14853144159632286023221837169100840141130323561840852778198105843412343294785645174837793231443043294945486224772807532318657722652395694463 (140 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=492926430
Step 1 took 3682ms
Step 2 took 2215ms
********** Factor found in step 2: 20515649578102999731160103116839153221
Found probable prime factor of 38 digits: 20515649578102999731160103116839153221
Composite cofactor 723990927174224868326542549094315303750932414072559254485546445337523505041406262444018484010740098803 has 102 digits

Number: 77767_148
N=723990927174224868326542549094315303750932414072559254485546445337523505041406262444018484010740098803
  ( 102 digits)
Divisors found:
 r1=32632436616998335942424482078481473733 (pp38)
 r2=22186235605743758104852354931254012624526614699214407726483272791 (pp65)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 7.71 hours.
Scaled time: 15.95 units (timescale=2.068).
Factorization parameters were as follows:
name: 77767_148
n: 723990927174224868326542549094315303750932414072559254485546445337523505041406262444018484010740098803
skew: 5013.43
# norm 3.94e+014
c5: 316500
c4: 5400115148
c3: 24460787644771
c2: -150494117041407043
c1: -183995141965256463651
c0: 624211016463936724998735
# alpha -7.20
Y1: 4925466899
Y0: -18701286844196639738
# Murphy_E 2.91e-009
# M 618587227784493458840711958303771287912603672292015809865794551382959753717618486787693866487657224872
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 205393 x 205618
Polynomial selection time: 0.50 hours.
Total sieving time: 7.04 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 7.71 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:43:28 UTC 2015 年 1 月 9 日 (金) 0 時 43 分 28 秒 (日本時間)

7×10149-979

c147

name 名前Cyp
date 日付January 13, 2015 04:40:15 UTC 2015 年 1 月 13 日 (火) 13 時 40 分 15 秒 (日本時間)
composite number 合成数
141157491429723734623916112119378907037709215567654769106674732809034079451502319015930631175640250050413389796329905222827182899778181084896148417<147>
prime factors 素因数
2332717402674467205810505613195421341363<40>
60512041136181461607197899374855358367946774679983455650288842223245527891276201028362998239568071810416059<107>
factorization results 素因数分解の結果
01/13/15 03:32:20 v1.34.3, 
01/13/15 03:32:20 v1.34.3, ****************************
01/13/15 03:32:20 v1.34.3, Starting factorization of 141157491429723734623916112119378907037709215567654769106674732809034079451502319015930631175640250050413389796329905222827182899778181084896148417
01/13/15 03:32:20 v1.34.3, using pretesting plan: none
01/13/15 03:32:20 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/13/15 03:32:20 v1.34.3, ****************************
01/13/15 03:32:20 v1.34.3, nfs: commencing nfs on c147: 141157491429723734623916112119378907037709215567654769106674732809034079451502319015930631175640250050413389796329905222827182899778181084896148417
01/13/15 03:32:20 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/13/15 03:32:20 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/13/15 03:36:31 v1.34.3, nfs: commencing lattice sieving with 8 threads
[26 lines snipped]
01/13/15 05:27:47 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/13/15 05:31:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/13/15 05:35:57 v1.34.3, nfs: commencing msieve filtering
01/13/15 05:37:39 v1.34.3, nfs: commencing msieve linear algebra
01/13/15 05:39:50 v1.34.3, nfs: commencing msieve sqrt
01/13/15 05:40:14 v1.34.3, prp107 = 60512041136181461607197899374855358367946774679983455650288842223245527891276201028362998239568071810416059
01/13/15 05:40:14 v1.34.3, prp40 = 2332717402674467205810505613195421341363
01/13/15 05:40:14 v1.34.3, NFS elapsed time = 7674.4763 seconds.
01/13/15 05:40:14 v1.34.3, 
01/13/15 05:40:14 v1.34.3, 
01/13/15 05:40:14 v1.34.3, Total factoring time = 7674.4773 seconds
--
Tue Jan 13 05:35:57 2015  
Tue Jan 13 05:35:57 2015  commencing relation filtering
Tue Jan 13 05:35:57 2015  estimated available RAM is 15987.3 MB
Tue Jan 13 05:35:57 2015  commencing duplicate removal, pass 1
Tue Jan 13 05:36:25 2015  found 1352176 hash collisions in 10117295 relations
Tue Jan 13 05:36:32 2015  added 349977 free relations
Tue Jan 13 05:36:32 2015  commencing duplicate removal, pass 2
Tue Jan 13 05:36:40 2015  found 897073 duplicates and 9570199 unique relations
Tue Jan 13 05:36:40 2015  memory use: 41.3 MB
Tue Jan 13 05:36:40 2015  reading ideals above 100000
Tue Jan 13 05:36:40 2015  commencing singleton removal, initial pass
Tue Jan 13 05:37:22 2015  memory use: 188.2 MB
Tue Jan 13 05:37:22 2015  reading all ideals from disk
Tue Jan 13 05:37:22 2015  memory use: 322.9 MB
Tue Jan 13 05:37:23 2015  keeping 9171010 ideals with weight <= 200, target excess is 52474
Tue Jan 13 05:37:23 2015  commencing in-memory singleton removal
Tue Jan 13 05:37:23 2015  begin with 9570199 relations and 9171010 unique ideals
Tue Jan 13 05:37:26 2015  reduce to 5027984 relations and 3561483 ideals in 10 passes
Tue Jan 13 05:37:26 2015  max relations containing the same ideal: 132
Tue Jan 13 05:37:27 2015  removing 1150205 relations and 750205 ideals in 400000 cliques
Tue Jan 13 05:37:27 2015  commencing in-memory singleton removal
Tue Jan 13 05:37:27 2015  begin with 3877779 relations and 3561483 unique ideals
Tue Jan 13 05:37:28 2015  reduce to 3735491 relations and 2656306 ideals in 7 passes
Tue Jan 13 05:37:28 2015  max relations containing the same ideal: 109
Tue Jan 13 05:37:29 2015  removing 993582 relations and 593582 ideals in 400000 cliques
Tue Jan 13 05:37:29 2015  commencing in-memory singleton removal
Tue Jan 13 05:37:29 2015  begin with 2741909 relations and 2656306 unique ideals
Tue Jan 13 05:37:30 2015  reduce to 2635537 relations and 1946765 ideals in 6 passes
Tue Jan 13 05:37:30 2015  max relations containing the same ideal: 84
Tue Jan 13 05:37:30 2015  removing 947793 relations and 547793 ideals in 400000 cliques
Tue Jan 13 05:37:30 2015  commencing in-memory singleton removal
Tue Jan 13 05:37:30 2015  begin with 1687744 relations and 1946765 unique ideals
Tue Jan 13 05:37:31 2015  reduce to 1575639 relations and 1274660 ideals in 7 passes
Tue Jan 13 05:37:31 2015  max relations containing the same ideal: 58
Tue Jan 13 05:37:31 2015  removing 578124 relations and 338015 ideals in 240109 cliques
Tue Jan 13 05:37:31 2015  commencing in-memory singleton removal
Tue Jan 13 05:37:31 2015  begin with 997515 relations and 1274660 unique ideals
Tue Jan 13 05:37:31 2015  reduce to 897995 relations and 825327 ideals in 9 passes
Tue Jan 13 05:37:31 2015  max relations containing the same ideal: 41
Tue Jan 13 05:37:31 2015  removing 56845 relations and 45047 ideals in 11798 cliques
Tue Jan 13 05:37:31 2015  commencing in-memory singleton removal
Tue Jan 13 05:37:31 2015  begin with 841150 relations and 825327 unique ideals
Tue Jan 13 05:37:31 2015  reduce to 837286 relations and 776360 ideals in 6 passes
Tue Jan 13 05:37:31 2015  max relations containing the same ideal: 40
Tue Jan 13 05:37:32 2015  relations with 0 large ideals: 1189
Tue Jan 13 05:37:32 2015  relations with 1 large ideals: 1279
Tue Jan 13 05:37:32 2015  relations with 2 large ideals: 14725
Tue Jan 13 05:37:32 2015  relations with 3 large ideals: 70456
Tue Jan 13 05:37:32 2015  relations with 4 large ideals: 169678
Tue Jan 13 05:37:32 2015  relations with 5 large ideals: 235062
Tue Jan 13 05:37:32 2015  relations with 6 large ideals: 206528
Tue Jan 13 05:37:32 2015  relations with 7+ large ideals: 138369
Tue Jan 13 05:37:32 2015  commencing 2-way merge
Tue Jan 13 05:37:32 2015  reduce to 588509 relation sets and 527583 unique ideals
Tue Jan 13 05:37:32 2015  commencing full merge
Tue Jan 13 05:37:37 2015  memory use: 64.0 MB
Tue Jan 13 05:37:37 2015  found 291696 cycles, need 283783
Tue Jan 13 05:37:37 2015  weight of 283783 cycles is about 20018146 (70.54/cycle)
Tue Jan 13 05:37:37 2015  distribution of cycle lengths:
Tue Jan 13 05:37:37 2015  1 relations: 21885
Tue Jan 13 05:37:37 2015  2 relations: 28707
Tue Jan 13 05:37:37 2015  3 relations: 33858
Tue Jan 13 05:37:37 2015  4 relations: 33593
Tue Jan 13 05:37:37 2015  5 relations: 30515
Tue Jan 13 05:37:37 2015  6 relations: 26672
Tue Jan 13 05:37:37 2015  7 relations: 22240
Tue Jan 13 05:37:37 2015  8 relations: 18138
Tue Jan 13 05:37:37 2015  9 relations: 15049
Tue Jan 13 05:37:37 2015  10+ relations: 53126
Tue Jan 13 05:37:37 2015  heaviest cycle: 20 relations
Tue Jan 13 05:37:37 2015  commencing cycle optimization
Tue Jan 13 05:37:37 2015  start with 1724705 relations
Tue Jan 13 05:37:38 2015  pruned 71144 relations
Tue Jan 13 05:37:38 2015  memory use: 51.7 MB
Tue Jan 13 05:37:38 2015  distribution of cycle lengths:
Tue Jan 13 05:37:38 2015  1 relations: 21885
Tue Jan 13 05:37:38 2015  2 relations: 29466
Tue Jan 13 05:37:38 2015  3 relations: 35647
Tue Jan 13 05:37:38 2015  4 relations: 34976
Tue Jan 13 05:37:38 2015  5 relations: 32138
Tue Jan 13 05:37:38 2015  6 relations: 27623
Tue Jan 13 05:37:38 2015  7 relations: 22662
Tue Jan 13 05:37:38 2015  8 relations: 18315
Tue Jan 13 05:37:38 2015  9 relations: 14975
Tue Jan 13 05:37:38 2015  10+ relations: 46096
Tue Jan 13 05:37:38 2015  heaviest cycle: 20 relations
Tue Jan 13 05:37:39 2015  RelProcTime: 102
Tue Jan 13 05:37:39 2015  
Tue Jan 13 05:37:39 2015  commencing linear algebra
Tue Jan 13 05:37:39 2015  read 283783 cycles
Tue Jan 13 05:37:39 2015  cycles contain 805115 unique relations
Tue Jan 13 05:37:47 2015  read 805115 relations
Tue Jan 13 05:37:47 2015  using 20 quadratic characters above 134203674
Tue Jan 13 05:37:50 2015  building initial matrix
Tue Jan 13 05:37:54 2015  memory use: 99.6 MB
Tue Jan 13 05:37:54 2015  read 283783 cycles
Tue Jan 13 05:37:54 2015  matrix is 283606 x 283783 (83.8 MB) with weight 24896120 (87.73/col)
Tue Jan 13 05:37:54 2015  sparse part has weight 18839926 (66.39/col)
Tue Jan 13 05:37:55 2015  filtering completed in 2 passes
Tue Jan 13 05:37:55 2015  matrix is 283459 x 283636 (83.8 MB) with weight 24889990 (87.75/col)
Tue Jan 13 05:37:55 2015  sparse part has weight 18837033 (66.41/col)
Tue Jan 13 05:37:55 2015  matrix starts at (0, 0)
Tue Jan 13 05:37:55 2015  matrix is 283459 x 283636 (83.8 MB) with weight 24889990 (87.75/col)
Tue Jan 13 05:37:55 2015  sparse part has weight 18837033 (66.41/col)
Tue Jan 13 05:37:55 2015  saving the first 48 matrix rows for later
Tue Jan 13 05:37:55 2015  matrix includes 64 packed rows
Tue Jan 13 05:37:55 2015  matrix is 283411 x 283636 (78.7 MB) with weight 19551873 (68.93/col)
Tue Jan 13 05:37:55 2015  sparse part has weight 17802165 (62.76/col)
Tue Jan 13 05:37:55 2015  using block size 65536 for processor cache size 8192 kB
Tue Jan 13 05:37:56 2015  commencing Lanczos iteration (8 threads)
Tue Jan 13 05:37:56 2015  memory use: 75.6 MB
Tue Jan 13 05:38:01 2015  linear algebra at 4.3%, ETA 0h 1m
Tue Jan 13 05:39:50 2015  lanczos halted after 4481 iterations (dim = 283411)
Tue Jan 13 05:39:50 2015  recovered 38 nontrivial dependencies
Tue Jan 13 05:39:50 2015  BLanczosTime: 131
Tue Jan 13 05:39:50 2015  
Tue Jan 13 05:39:50 2015  commencing square root phase
Tue Jan 13 05:39:50 2015  reading relations for dependency 1
Tue Jan 13 05:39:50 2015  read 141976 cycles
Tue Jan 13 05:39:50 2015  cycles contain 402412 unique relations
Tue Jan 13 05:39:57 2015  read 402412 relations
Tue Jan 13 05:39:58 2015  multiplying 402412 relations
Tue Jan 13 05:40:06 2015  multiply complete, coefficients have about 11.29 million bits
Tue Jan 13 05:40:06 2015  initial square root is modulo 3092171
Tue Jan 13 05:40:14 2015  sqrtTime: 24
--
n: 141157491429723734623916112119378907037709215567654769106674732809034079451502319015930631175640250050413389796329905222827182899778181084896148417
m: 500000000000000000000000000000
deg: 5
c5: 112
c0: -485
skew: 1.34
# Murphy_E = 1.065e-09
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:45:19 UTC 2015 年 1 月 9 日 (金) 0 時 45 分 19 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:07:18 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 18 秒 (日本時間)

7×10150-979

c149

name 名前Cyp
date 日付January 12, 2015 22:12:43 UTC 2015 年 1 月 13 日 (火) 7 時 12 分 43 秒 (日本時間)
composite number 合成数
45751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751<149>
prime factors 素因数
10461424467240949455569296448502392150504443969544521<53>
4373365609071251205990492589895233351289414537439972550742117566037937429587464078552337898093631<97>
factorization results 素因数分解の結果
01/12/15 21:27:34 v1.34.3, 
01/12/15 21:27:34 v1.34.3, ****************************
01/12/15 21:27:34 v1.34.3, Starting factorization of 45751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751
01/12/15 21:27:34 v1.34.3, using pretesting plan: none
01/12/15 21:27:34 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/12/15 21:27:34 v1.34.3, ****************************
01/12/15 21:27:34 v1.34.3, nfs: commencing nfs on c149: 45751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751
01/12/15 21:27:34 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/12/15 21:27:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/12/15 21:31:58 v1.34.3, nfs: commencing lattice sieving with 8 threads
[19 lines snipped]
01/12/15 22:59:35 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/12/15 23:03:59 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/12/15 23:08:15 v1.34.3, nfs: commencing msieve filtering
01/12/15 23:09:57 v1.34.3, nfs: commencing msieve linear algebra
01/12/15 23:12:03 v1.34.3, nfs: commencing msieve sqrt
01/12/15 23:12:42 v1.34.3, prp97 = 4373365609071251205990492589895233351289414537439972550742117566037937429587464078552337898093631
01/12/15 23:12:42 v1.34.3, prp53 = 10461424467240949455569296448502392150504443969544521
01/12/15 23:12:43 v1.34.3, NFS elapsed time = 6308.8984 seconds.
01/12/15 23:12:43 v1.34.3, 
01/12/15 23:12:43 v1.34.3, 
01/12/15 23:12:43 v1.34.3, Total factoring time = 6308.8995 seconds
--
Mon Jan 12 23:08:15 2015  
Mon Jan 12 23:08:15 2015  commencing relation filtering
Mon Jan 12 23:08:15 2015  estimated available RAM is 15987.3 MB
Mon Jan 12 23:08:15 2015  commencing duplicate removal, pass 1
Mon Jan 12 23:08:43 2015  found 1245269 hash collisions in 10144494 relations
Mon Jan 12 23:08:50 2015  added 351470 free relations
Mon Jan 12 23:08:50 2015  commencing duplicate removal, pass 2
Mon Jan 12 23:08:58 2015  found 745720 duplicates and 9750244 unique relations
Mon Jan 12 23:08:58 2015  memory use: 41.3 MB
Mon Jan 12 23:08:58 2015  reading ideals above 100000
Mon Jan 12 23:08:58 2015  commencing singleton removal, initial pass
Mon Jan 12 23:09:39 2015  memory use: 188.2 MB
Mon Jan 12 23:09:39 2015  reading all ideals from disk
Mon Jan 12 23:09:40 2015  memory use: 326.7 MB
Mon Jan 12 23:09:40 2015  keeping 9221327 ideals with weight <= 200, target excess is 60926
Mon Jan 12 23:09:40 2015  commencing in-memory singleton removal
Mon Jan 12 23:09:41 2015  begin with 9750244 relations and 9221327 unique ideals
Mon Jan 12 23:09:43 2015  reduce to 5198946 relations and 3611618 ideals in 9 passes
Mon Jan 12 23:09:43 2015  max relations containing the same ideal: 133
Mon Jan 12 23:09:44 2015  removing 1141737 relations and 741737 ideals in 400000 cliques
Mon Jan 12 23:09:44 2015  commencing in-memory singleton removal
Mon Jan 12 23:09:44 2015  begin with 4057209 relations and 3611618 unique ideals
Mon Jan 12 23:09:45 2015  reduce to 3922550 relations and 2723577 ideals in 6 passes
Mon Jan 12 23:09:45 2015  max relations containing the same ideal: 109
Mon Jan 12 23:09:46 2015  removing 987639 relations and 587639 ideals in 400000 cliques
Mon Jan 12 23:09:46 2015  commencing in-memory singleton removal
Mon Jan 12 23:09:46 2015  begin with 2934911 relations and 2723577 unique ideals
Mon Jan 12 23:09:47 2015  reduce to 2837980 relations and 2030572 ideals in 6 passes
Mon Jan 12 23:09:47 2015  max relations containing the same ideal: 91
Mon Jan 12 23:09:48 2015  removing 942843 relations and 542843 ideals in 400000 cliques
Mon Jan 12 23:09:48 2015  commencing in-memory singleton removal
Mon Jan 12 23:09:48 2015  begin with 1895137 relations and 2030572 unique ideals
Mon Jan 12 23:09:48 2015  reduce to 1795974 relations and 1378722 ideals in 7 passes
Mon Jan 12 23:09:48 2015  max relations containing the same ideal: 67
Mon Jan 12 23:09:48 2015  removing 767110 relations and 434302 ideals in 332808 cliques
Mon Jan 12 23:09:49 2015  commencing in-memory singleton removal
Mon Jan 12 23:09:49 2015  begin with 1028864 relations and 1378722 unique ideals
Mon Jan 12 23:09:49 2015  reduce to 927380 relations and 831570 ideals in 10 passes
Mon Jan 12 23:09:49 2015  max relations containing the same ideal: 41
Mon Jan 12 23:09:49 2015  removing 98735 relations and 73600 ideals in 25135 cliques
Mon Jan 12 23:09:49 2015  commencing in-memory singleton removal
Mon Jan 12 23:09:49 2015  begin with 828645 relations and 831570 unique ideals
Mon Jan 12 23:09:49 2015  reduce to 817394 relations and 746360 ideals in 7 passes
Mon Jan 12 23:09:49 2015  max relations containing the same ideal: 38
Mon Jan 12 23:09:49 2015  relations with 0 large ideals: 1443
Mon Jan 12 23:09:49 2015  relations with 1 large ideals: 3526
Mon Jan 12 23:09:49 2015  relations with 2 large ideals: 22623
Mon Jan 12 23:09:49 2015  relations with 3 large ideals: 81642
Mon Jan 12 23:09:49 2015  relations with 4 large ideals: 174077
Mon Jan 12 23:09:49 2015  relations with 5 large ideals: 227323
Mon Jan 12 23:09:49 2015  relations with 6 large ideals: 189535
Mon Jan 12 23:09:49 2015  relations with 7+ large ideals: 117225
Mon Jan 12 23:09:49 2015  commencing 2-way merge
Mon Jan 12 23:09:49 2015  reduce to 605388 relation sets and 534354 unique ideals
Mon Jan 12 23:09:49 2015  commencing full merge
Mon Jan 12 23:09:54 2015  memory use: 60.3 MB
Mon Jan 12 23:09:54 2015  found 283918 cycles, need 274554
Mon Jan 12 23:09:54 2015  weight of 274554 cycles is about 19649516 (71.57/cycle)
Mon Jan 12 23:09:54 2015  distribution of cycle lengths:
Mon Jan 12 23:09:54 2015  1 relations: 23896
Mon Jan 12 23:09:54 2015  2 relations: 27448
Mon Jan 12 23:09:54 2015  3 relations: 29386
Mon Jan 12 23:09:54 2015  4 relations: 28545
Mon Jan 12 23:09:54 2015  5 relations: 26609
Mon Jan 12 23:09:54 2015  6 relations: 24086
Mon Jan 12 23:09:54 2015  7 relations: 21459
Mon Jan 12 23:09:54 2015  8 relations: 18510
Mon Jan 12 23:09:54 2015  9 relations: 16100
Mon Jan 12 23:09:54 2015  10+ relations: 58515
Mon Jan 12 23:09:54 2015  heaviest cycle: 20 relations
Mon Jan 12 23:09:54 2015  commencing cycle optimization
Mon Jan 12 23:09:55 2015  start with 1730347 relations
Mon Jan 12 23:09:56 2015  pruned 81100 relations
Mon Jan 12 23:09:56 2015  memory use: 50.3 MB
Mon Jan 12 23:09:56 2015  distribution of cycle lengths:
Mon Jan 12 23:09:56 2015  1 relations: 23896
Mon Jan 12 23:09:56 2015  2 relations: 28377
Mon Jan 12 23:09:56 2015  3 relations: 31159
Mon Jan 12 23:09:56 2015  4 relations: 30086
Mon Jan 12 23:09:56 2015  5 relations: 28304
Mon Jan 12 23:09:56 2015  6 relations: 25231
Mon Jan 12 23:09:56 2015  7 relations: 22260
Mon Jan 12 23:09:56 2015  8 relations: 18884
Mon Jan 12 23:09:56 2015  9 relations: 15893
Mon Jan 12 23:09:56 2015  10+ relations: 50464
Mon Jan 12 23:09:56 2015  heaviest cycle: 20 relations
Mon Jan 12 23:09:57 2015  RelProcTime: 102
Mon Jan 12 23:09:57 2015  
Mon Jan 12 23:09:57 2015  commencing linear algebra
Mon Jan 12 23:09:57 2015  read 274554 cycles
Mon Jan 12 23:09:57 2015  cycles contain 778377 unique relations
Mon Jan 12 23:10:05 2015  read 778377 relations
Mon Jan 12 23:10:05 2015  using 20 quadratic characters above 133923482
Mon Jan 12 23:10:08 2015  building initial matrix
Mon Jan 12 23:10:12 2015  memory use: 97.0 MB
Mon Jan 12 23:10:12 2015  read 274554 cycles
Mon Jan 12 23:10:12 2015  matrix is 274375 x 274554 (81.6 MB) with weight 24769302 (90.22/col)
Mon Jan 12 23:10:12 2015  sparse part has weight 18359049 (66.87/col)
Mon Jan 12 23:10:13 2015  filtering completed in 2 passes
Mon Jan 12 23:10:13 2015  matrix is 274177 x 274356 (81.5 MB) with weight 24759571 (90.25/col)
Mon Jan 12 23:10:13 2015  sparse part has weight 18354108 (66.90/col)
Mon Jan 12 23:10:13 2015  matrix starts at (0, 0)
Mon Jan 12 23:10:13 2015  matrix is 274177 x 274356 (81.5 MB) with weight 24759571 (90.25/col)
Mon Jan 12 23:10:13 2015  sparse part has weight 18354108 (66.90/col)
Mon Jan 12 23:10:13 2015  saving the first 48 matrix rows for later
Mon Jan 12 23:10:13 2015  matrix includes 64 packed rows
Mon Jan 12 23:10:13 2015  matrix is 274129 x 274356 (77.4 MB) with weight 19513148 (71.12/col)
Mon Jan 12 23:10:13 2015  sparse part has weight 17537317 (63.92/col)
Mon Jan 12 23:10:13 2015  using block size 65536 for processor cache size 8192 kB
Mon Jan 12 23:10:14 2015  commencing Lanczos iteration (8 threads)
Mon Jan 12 23:10:14 2015  memory use: 74.2 MB
Mon Jan 12 23:10:19 2015  linear algebra at 4.4%, ETA 0h 1m
Mon Jan 12 23:12:03 2015  lanczos halted after 4336 iterations (dim = 274128)
Mon Jan 12 23:12:03 2015  recovered 35 nontrivial dependencies
Mon Jan 12 23:12:03 2015  BLanczosTime: 126
Mon Jan 12 23:12:03 2015  
Mon Jan 12 23:12:03 2015  commencing square root phase
Mon Jan 12 23:12:03 2015  reading relations for dependency 1
Mon Jan 12 23:12:04 2015  read 136831 cycles
Mon Jan 12 23:12:04 2015  cycles contain 388106 unique relations
Mon Jan 12 23:12:11 2015  read 388106 relations
Mon Jan 12 23:12:11 2015  multiplying 388106 relations
Mon Jan 12 23:12:16 2015  multiply complete, coefficients have about 9.39 million bits
Mon Jan 12 23:12:16 2015  initial square root is modulo 249911
Mon Jan 12 23:12:23 2015  GCD is 1, no factor found
Mon Jan 12 23:12:23 2015  reading relations for dependency 2
Mon Jan 12 23:12:23 2015  read 137691 cycles
Mon Jan 12 23:12:23 2015  cycles contain 389882 unique relations
Mon Jan 12 23:12:30 2015  read 389882 relations
Mon Jan 12 23:12:31 2015  multiplying 389882 relations
Mon Jan 12 23:12:36 2015  multiply complete, coefficients have about 9.44 million bits
Mon Jan 12 23:12:36 2015  initial square root is modulo 264961
Mon Jan 12 23:12:42 2015  sqrtTime: 39
--
n: 45751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751
m: 1000000000000000000000000000000
deg: 5
c5: 7
c0: -97
skew: 1.69
# Murphy_E = 1.462e-09
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:45:32 UTC 2015 年 1 月 9 日 (金) 0 時 45 分 32 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:07:18 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 18 秒 (日本時間)

7×10153-979

c107

name 名前Cyp
date 日付January 9, 2015 16:16:21 UTC 2015 年 1 月 10 日 (土) 1 時 16 分 21 秒 (日本時間)
composite number 合成数
27761670821515843247412787632530950362354590547519536812361463820030331430799045833314839603233152337025241<107>
prime factors 素因数
3629164898851357372633544105687<31>
7649603034103659322511365517740827980394721785164895628059237695413767176143<76>
factorization results 素因数分解の結果
01/09/15 16:17:19 v1.34.3, 
01/09/15 16:17:19 v1.34.3, ****************************
01/09/15 16:17:19 v1.34.3, Starting factorization of 27761670821515843247412787632530950362354590547519536812361463820030331430799045833314839603233152337025241
01/09/15 16:17:19 v1.34.3, using pretesting plan: none
01/09/15 16:17:19 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/09/15 16:17:19 v1.34.3, ****************************
01/09/15 16:17:19 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C107
01/09/15 16:17:19 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C107
01/09/15 16:17:19 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C107
01/09/15 16:17:19 v1.34.3, final ECM pretested depth: 0.00
01/09/15 16:17:19 v1.34.3, scheduler: switching to sieve method
01/09/15 16:17:19 v1.34.3, nfs: commencing nfs on c107: 27761670821515843247412787632530950362354590547519536812361463820030331430799045833314839603233152337025241
01/09/15 16:17:19 v1.34.3, nfs: commencing poly selection with 8 threads
01/09/15 16:17:19 v1.34.3, nfs: setting deadline of 304 seconds
01/09/15 16:22:38 v1.34.3, nfs: completed 61 ranges of size 250 in 318.4044 seconds
01/09/15 16:22:38 v1.34.3, nfs: best poly = # norm 1.340221e-14 alpha -5.271630 e 4.494e-09 rroots 4
01/09/15 16:22:38 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 16:24:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
[17 lines snipped]
01/09/15 16:56:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 16:58:53 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 17:00:42 v1.34.3, nfs: commencing msieve filtering
01/09/15 17:01:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 17:03:17 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 17:05:05 v1.34.3, nfs: commencing msieve filtering
01/09/15 17:05:49 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 17:07:37 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 17:09:29 v1.34.3, nfs: commencing msieve filtering
01/09/15 17:10:32 v1.34.3, nfs: commencing msieve linear algebra
01/09/15 17:15:34 v1.34.3, nfs: commencing msieve sqrt
01/09/15 17:16:20 v1.34.3, prp76 = 7649603034103659322511365517740827980394721785164895628059237695413767176143
01/09/15 17:16:20 v1.34.3, prp31 = 3629164898851357372633544105687
01/09/15 17:16:20 v1.34.3, NFS elapsed time = 3541.0336 seconds.
01/09/15 17:16:20 v1.34.3, 
01/09/15 17:16:20 v1.34.3, 
01/09/15 17:16:20 v1.34.3, Total factoring time = 3541.0556 seconds
--
Fri Jan  9 17:00:42 2015  
Fri Jan  9 17:00:42 2015  commencing relation filtering
Fri Jan  9 17:00:42 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 17:00:42 2015  commencing duplicate removal, pass 1
Fri Jan  9 17:00:55 2015  found 471329 hash collisions in 4587536 relations
Fri Jan  9 17:00:59 2015  added 159634 free relations
Fri Jan  9 17:00:59 2015  commencing duplicate removal, pass 2
Fri Jan  9 17:01:02 2015  found 244691 duplicates and 4502479 unique relations
Fri Jan  9 17:01:02 2015  memory use: 20.6 MB
Fri Jan  9 17:01:02 2015  reading ideals above 100000
Fri Jan  9 17:01:02 2015  commencing singleton removal, initial pass
Fri Jan  9 17:01:20 2015  memory use: 172.2 MB
Fri Jan  9 17:01:20 2015  reading all ideals from disk
Fri Jan  9 17:01:20 2015  memory use: 145.8 MB
Fri Jan  9 17:01:20 2015  keeping 5540067 ideals with weight <= 200, target excess is 21398
Fri Jan  9 17:01:20 2015  commencing in-memory singleton removal
Fri Jan  9 17:01:21 2015  begin with 4502479 relations and 5540067 unique ideals
Fri Jan  9 17:01:23 2015  reduce to 589010 relations and 741550 ideals in 108 passes
Fri Jan  9 17:01:23 2015  max relations containing the same ideal: 51
Fri Jan  9 17:05:05 2015  
Fri Jan  9 17:05:05 2015  commencing relation filtering
Fri Jan  9 17:05:05 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 17:05:05 2015  commencing duplicate removal, pass 1
Fri Jan  9 17:05:20 2015  found 569771 hash collisions in 5170260 relations
Fri Jan  9 17:05:23 2015  added 1299 free relations
Fri Jan  9 17:05:23 2015  commencing duplicate removal, pass 2
Fri Jan  9 17:05:27 2015  found 287681 duplicates and 4883878 unique relations
Fri Jan  9 17:05:27 2015  memory use: 20.6 MB
Fri Jan  9 17:05:27 2015  reading ideals above 100000
Fri Jan  9 17:05:27 2015  commencing singleton removal, initial pass
Fri Jan  9 17:05:47 2015  memory use: 172.2 MB
Fri Jan  9 17:05:47 2015  reading all ideals from disk
Fri Jan  9 17:05:47 2015  memory use: 158.3 MB
Fri Jan  9 17:05:47 2015  keeping 5717599 ideals with weight <= 200, target excess is 23097
Fri Jan  9 17:05:47 2015  commencing in-memory singleton removal
Fri Jan  9 17:05:47 2015  begin with 4883878 relations and 5717599 unique ideals
Fri Jan  9 17:05:49 2015  reduce to 1336255 relations and 1407108 ideals in 26 passes
Fri Jan  9 17:05:49 2015  max relations containing the same ideal: 82
Fri Jan  9 17:09:29 2015  
Fri Jan  9 17:09:29 2015  commencing relation filtering
Fri Jan  9 17:09:29 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 17:09:29 2015  commencing duplicate removal, pass 1
Fri Jan  9 17:09:47 2015  found 654976 hash collisions in 5591707 relations
Fri Jan  9 17:09:50 2015  added 959 free relations
Fri Jan  9 17:09:50 2015  commencing duplicate removal, pass 2
Fri Jan  9 17:09:54 2015  found 332941 duplicates and 5259725 unique relations
Fri Jan  9 17:09:54 2015  memory use: 20.6 MB
Fri Jan  9 17:09:54 2015  reading ideals above 100000
Fri Jan  9 17:09:54 2015  commencing singleton removal, initial pass
Fri Jan  9 17:10:15 2015  memory use: 172.2 MB
Fri Jan  9 17:10:15 2015  reading all ideals from disk
Fri Jan  9 17:10:15 2015  memory use: 170.6 MB
Fri Jan  9 17:10:16 2015  keeping 5876207 ideals with weight <= 200, target excess is 24943
Fri Jan  9 17:10:16 2015  commencing in-memory singleton removal
Fri Jan  9 17:10:16 2015  begin with 5259725 relations and 5876207 unique ideals
Fri Jan  9 17:10:18 2015  reduce to 1877522 relations and 1829292 ideals in 20 passes
Fri Jan  9 17:10:18 2015  max relations containing the same ideal: 99
Fri Jan  9 17:10:18 2015  removing 143171 relations and 133523 ideals in 9648 cliques
Fri Jan  9 17:10:18 2015  commencing in-memory singleton removal
Fri Jan  9 17:10:18 2015  begin with 1734351 relations and 1829292 unique ideals
Fri Jan  9 17:10:19 2015  reduce to 1723673 relations and 1685002 ideals in 11 passes
Fri Jan  9 17:10:19 2015  max relations containing the same ideal: 93
Fri Jan  9 17:10:19 2015  removing 102797 relations and 93149 ideals in 9648 cliques
Fri Jan  9 17:10:19 2015  commencing in-memory singleton removal
Fri Jan  9 17:10:19 2015  begin with 1620876 relations and 1685002 unique ideals
Fri Jan  9 17:10:19 2015  reduce to 1615319 relations and 1586255 ideals in 7 passes
Fri Jan  9 17:10:19 2015  max relations containing the same ideal: 89
Fri Jan  9 17:10:20 2015  relations with 0 large ideals: 493
Fri Jan  9 17:10:20 2015  relations with 1 large ideals: 165
Fri Jan  9 17:10:20 2015  relations with 2 large ideals: 2934
Fri Jan  9 17:10:20 2015  relations with 3 large ideals: 26407
Fri Jan  9 17:10:20 2015  relations with 4 large ideals: 123587
Fri Jan  9 17:10:20 2015  relations with 5 large ideals: 346709
Fri Jan  9 17:10:20 2015  relations with 6 large ideals: 488809
Fri Jan  9 17:10:20 2015  relations with 7+ large ideals: 626215
Fri Jan  9 17:10:20 2015  commencing 2-way merge
Fri Jan  9 17:10:20 2015  reduce to 901365 relation sets and 872303 unique ideals
Fri Jan  9 17:10:20 2015  ignored 2 oversize relation sets
Fri Jan  9 17:10:20 2015  commencing full merge
Fri Jan  9 17:10:28 2015  memory use: 95.2 MB
Fri Jan  9 17:10:28 2015  found 431895 cycles, need 430503
Fri Jan  9 17:10:29 2015  weight of 430503 cycles is about 30411418 (70.64/cycle)
Fri Jan  9 17:10:29 2015  distribution of cycle lengths:
Fri Jan  9 17:10:29 2015  1 relations: 53423
Fri Jan  9 17:10:29 2015  2 relations: 49749
Fri Jan  9 17:10:29 2015  3 relations: 47470
Fri Jan  9 17:10:29 2015  4 relations: 41250
Fri Jan  9 17:10:29 2015  5 relations: 36733
Fri Jan  9 17:10:29 2015  6 relations: 31369
Fri Jan  9 17:10:29 2015  7 relations: 26948
Fri Jan  9 17:10:29 2015  8 relations: 23207
Fri Jan  9 17:10:29 2015  9 relations: 19877
Fri Jan  9 17:10:29 2015  10+ relations: 100477
Fri Jan  9 17:10:29 2015  heaviest cycle: 28 relations
Fri Jan  9 17:10:29 2015  commencing cycle optimization
Fri Jan  9 17:10:29 2015  start with 2833443 relations
Fri Jan  9 17:10:32 2015  pruned 58598 relations
Fri Jan  9 17:10:32 2015  memory use: 93.7 MB
Fri Jan  9 17:10:32 2015  distribution of cycle lengths:
Fri Jan  9 17:10:32 2015  1 relations: 53423
Fri Jan  9 17:10:32 2015  2 relations: 50755
Fri Jan  9 17:10:32 2015  3 relations: 48963
Fri Jan  9 17:10:32 2015  4 relations: 41975
Fri Jan  9 17:10:32 2015  5 relations: 37461
Fri Jan  9 17:10:32 2015  6 relations: 31518
Fri Jan  9 17:10:32 2015  7 relations: 27134
Fri Jan  9 17:10:32 2015  8 relations: 23131
Fri Jan  9 17:10:32 2015  9 relations: 19690
Fri Jan  9 17:10:32 2015  10+ relations: 96453
Fri Jan  9 17:10:32 2015  heaviest cycle: 28 relations
Fri Jan  9 17:10:32 2015  RelProcTime: 63
Fri Jan  9 17:10:32 2015  
Fri Jan  9 17:10:32 2015  commencing linear algebra
Fri Jan  9 17:10:32 2015  read 430503 cycles
Fri Jan  9 17:10:33 2015  cycles contain 1574752 unique relations
Fri Jan  9 17:10:40 2015  read 1574752 relations
Fri Jan  9 17:10:41 2015  using 20 quadratic characters above 67108598
Fri Jan  9 17:10:46 2015  building initial matrix
Fri Jan  9 17:10:53 2015  memory use: 192.1 MB
Fri Jan  9 17:10:53 2015  read 430503 cycles
Fri Jan  9 17:10:53 2015  matrix is 430334 x 430503 (129.4 MB) with weight 40865587 (94.93/col)
Fri Jan  9 17:10:53 2015  sparse part has weight 29178468 (67.78/col)
Fri Jan  9 17:10:55 2015  filtering completed in 2 passes
Fri Jan  9 17:10:55 2015  matrix is 429857 x 430033 (129.3 MB) with weight 40844332 (94.98/col)
Fri Jan  9 17:10:55 2015  sparse part has weight 29171785 (67.84/col)
Fri Jan  9 17:10:56 2015  matrix starts at (0, 0)
Fri Jan  9 17:10:56 2015  matrix is 429857 x 430033 (129.3 MB) with weight 40844332 (94.98/col)
Fri Jan  9 17:10:56 2015  sparse part has weight 29171785 (67.84/col)
Fri Jan  9 17:10:56 2015  saving the first 48 matrix rows for later
Fri Jan  9 17:10:56 2015  matrix includes 64 packed rows
Fri Jan  9 17:10:56 2015  matrix is 429809 x 430033 (124.9 MB) with weight 32610736 (75.83/col)
Fri Jan  9 17:10:56 2015  sparse part has weight 28443826 (66.14/col)
Fri Jan  9 17:10:56 2015  using block size 65536 for processor cache size 8192 kB
Fri Jan  9 17:10:57 2015  commencing Lanczos iteration (8 threads)
Fri Jan  9 17:10:57 2015  memory use: 118.3 MB
Fri Jan  9 17:11:05 2015  linear algebra at 2.8%, ETA 0h 4m
Fri Jan  9 17:15:34 2015  lanczos halted after 6799 iterations (dim = 429807)
Fri Jan  9 17:15:34 2015  recovered 32 nontrivial dependencies
Fri Jan  9 17:15:34 2015  BLanczosTime: 302
Fri Jan  9 17:15:34 2015  
Fri Jan  9 17:15:34 2015  commencing square root phase
Fri Jan  9 17:15:34 2015  reading relations for dependency 1
Fri Jan  9 17:15:34 2015  read 214989 cycles
Fri Jan  9 17:15:35 2015  cycles contain 786956 unique relations
Fri Jan  9 17:15:40 2015  read 786956 relations
Fri Jan  9 17:15:42 2015  multiplying 786956 relations
Fri Jan  9 17:15:58 2015  multiply complete, coefficients have about 35.42 million bits
Fri Jan  9 17:15:58 2015  initial square root is modulo 121993
Fri Jan  9 17:16:20 2015  sqrtTime: 46
--
n: 27761670821515843247412787632530950362354590547519536812361463820030331430799045833314839603233152337025241
skew: 2141774.12
c0: 68109296990284881111237377085
c1: -106527506896977461855172
c2: -123549868118688623
c3: 60740965214
c4: 12780
Y0: -38390900412032908292504738
Y1: 28906552293439
rlim: 2780000
alim: 2780000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

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

7×10154-979

c154

name 名前Serge Batalov
date 日付January 9, 2015 03:53:30 UTC 2015 年 1 月 9 日 (金) 12 時 53 分 30 秒 (日本時間)
composite number 合成数
2592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592589<154>
prime factors 素因数
10426349008001348030359819943147759<35>
composite cofactor 合成数の残り
248657760315043675582136534891523123439510070773306704957527449875791932996993741046280209675752562164683993117622586371<120>
factorization results 素因数分解の結果
Input number is 2592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592589 (154 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2310284169
Step 1 took 9854ms
Step 2 took 8927ms
********** Factor found in step 2: 10426349008001348030359819943147759
Found probable prime factor of 35 digits: 10426349008001348030359819943147759
Composite cofactor 248657760315043675582136534891523123439510070773306704957527449875791932996993741046280209675752562164683993117622586371 has 120 digits

c120

name 名前Cyp
date 日付January 17, 2015 22:10:23 UTC 2015 年 1 月 18 日 (日) 7 時 10 分 23 秒 (日本時間)
composite number 合成数
248657760315043675582136534891523123439510070773306704957527449875791932996993741046280209675752562164683993117622586371<120>
prime factors 素因数
44842719327851825494597076364763934720463403768935569111<56>
5545108861420058243999515662894591031973091325484783873505364661<64>
factorization results 素因数分解の結果
01/17/15 20:27:07 v1.34.3, 
01/17/15 20:27:07 v1.34.3, ****************************
01/17/15 20:27:07 v1.34.3, Starting factorization of 248657760315043675582136534891523123439510070773306704957527449875791932996993741046280209675752562164683993117622586371
01/17/15 20:27:07 v1.34.3, using pretesting plan: none
01/17/15 20:27:07 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/17/15 20:27:07 v1.34.3, ****************************
01/17/15 20:27:07 v1.34.3, nfs: commencing nfs on c120: 248657760315043675582136534891523123439510070773306704957527449875791932996993741046280209675752562164683993117622586371
01/17/15 20:27:07 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/17/15 20:27:07 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 20:27:59 v1.34.3, nfs: commencing lattice sieving with 8 threads
[161 lines snipped]
01/17/15 22:59:50 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 23:00:49 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 23:01:47 v1.34.3, nfs: commencing msieve filtering
01/17/15 23:03:34 v1.34.3, nfs: commencing msieve linear algebra
01/17/15 23:09:46 v1.34.3, nfs: commencing msieve sqrt
01/17/15 23:10:22 v1.34.3, prp64 = 5545108861420058243999515662894591031973091325484783873505364661
01/17/15 23:10:22 v1.34.3, prp56 = 44842719327851825494597076364763934720463403768935569111
01/17/15 23:10:22 v1.34.3, NFS elapsed time = 9795.6090 seconds.
01/17/15 23:10:22 v1.34.3, 
01/17/15 23:10:22 v1.34.3, 
01/17/15 23:10:22 v1.34.3, Total factoring time = 9795.6095 seconds
--
Sat Jan 17 23:01:47 2015  
Sat Jan 17 23:01:47 2015  commencing relation filtering
Sat Jan 17 23:01:47 2015  estimated available RAM is 15987.3 MB
Sat Jan 17 23:01:47 2015  commencing duplicate removal, pass 1
Sat Jan 17 23:02:16 2015  found 1748473 hash collisions in 10043474 relations
Sat Jan 17 23:02:24 2015  added 355107 free relations
Sat Jan 17 23:02:24 2015  commencing duplicate removal, pass 2
Sat Jan 17 23:02:32 2015  found 1461662 duplicates and 8936919 unique relations
Sat Jan 17 23:02:32 2015  memory use: 45.3 MB
Sat Jan 17 23:02:32 2015  reading ideals above 100000
Sat Jan 17 23:02:32 2015  commencing singleton removal, initial pass
Sat Jan 17 23:03:12 2015  memory use: 188.2 MB
Sat Jan 17 23:03:12 2015  reading all ideals from disk
Sat Jan 17 23:03:12 2015  memory use: 303.6 MB
Sat Jan 17 23:03:12 2015  keeping 9478070 ideals with weight <= 200, target excess is 45995
Sat Jan 17 23:03:13 2015  commencing in-memory singleton removal
Sat Jan 17 23:03:13 2015  begin with 8936919 relations and 9478070 unique ideals
Sat Jan 17 23:03:16 2015  reduce to 3981143 relations and 3339071 ideals in 15 passes
Sat Jan 17 23:03:16 2015  max relations containing the same ideal: 120
Sat Jan 17 23:03:17 2015  removing 1080461 relations and 786102 ideals in 294359 cliques
Sat Jan 17 23:03:17 2015  commencing in-memory singleton removal
Sat Jan 17 23:03:18 2015  begin with 2900682 relations and 3339071 unique ideals
Sat Jan 17 23:03:18 2015  reduce to 2690981 relations and 2323780 ideals in 8 passes
Sat Jan 17 23:03:18 2015  max relations containing the same ideal: 89
Sat Jan 17 23:03:19 2015  removing 895052 relations and 600693 ideals in 294359 cliques
Sat Jan 17 23:03:19 2015  commencing in-memory singleton removal
Sat Jan 17 23:03:19 2015  begin with 1795929 relations and 2323780 unique ideals
Sat Jan 17 23:03:20 2015  reduce to 1617337 relations and 1524080 ideals in 9 passes
Sat Jan 17 23:03:20 2015  max relations containing the same ideal: 69
Sat Jan 17 23:03:20 2015  removing 182042 relations and 142140 ideals in 39902 cliques
Sat Jan 17 23:03:20 2015  commencing in-memory singleton removal
Sat Jan 17 23:03:20 2015  begin with 1435295 relations and 1524080 unique ideals
Sat Jan 17 23:03:21 2015  reduce to 1421523 relations and 1367857 ideals in 7 passes
Sat Jan 17 23:03:21 2015  max relations containing the same ideal: 59
Sat Jan 17 23:03:21 2015  relations with 0 large ideals: 1049
Sat Jan 17 23:03:21 2015  relations with 1 large ideals: 665
Sat Jan 17 23:03:21 2015  relations with 2 large ideals: 9485
Sat Jan 17 23:03:21 2015  relations with 3 large ideals: 61782
Sat Jan 17 23:03:21 2015  relations with 4 large ideals: 202354
Sat Jan 17 23:03:21 2015  relations with 5 large ideals: 371211
Sat Jan 17 23:03:21 2015  relations with 6 large ideals: 412535
Sat Jan 17 23:03:21 2015  relations with 7+ large ideals: 362442
Sat Jan 17 23:03:21 2015  commencing 2-way merge
Sat Jan 17 23:03:22 2015  reduce to 893937 relation sets and 840271 unique ideals
Sat Jan 17 23:03:22 2015  commencing full merge
Sat Jan 17 23:03:30 2015  memory use: 107.4 MB
Sat Jan 17 23:03:30 2015  found 463771 cycles, need 456471
Sat Jan 17 23:03:30 2015  weight of 456471 cycles is about 32243714 (70.64/cycle)
Sat Jan 17 23:03:30 2015  distribution of cycle lengths:
Sat Jan 17 23:03:30 2015  1 relations: 32547
Sat Jan 17 23:03:30 2015  2 relations: 44088
Sat Jan 17 23:03:30 2015  3 relations: 49607
Sat Jan 17 23:03:30 2015  4 relations: 48576
Sat Jan 17 23:03:30 2015  5 relations: 47621
Sat Jan 17 23:03:30 2015  6 relations: 44069
Sat Jan 17 23:03:30 2015  7 relations: 39785
Sat Jan 17 23:03:30 2015  8 relations: 34279
Sat Jan 17 23:03:30 2015  9 relations: 28629
Sat Jan 17 23:03:30 2015  10+ relations: 87270
Sat Jan 17 23:03:30 2015  heaviest cycle: 20 relations
Sat Jan 17 23:03:30 2015  commencing cycle optimization
Sat Jan 17 23:03:31 2015  start with 2837817 relations
Sat Jan 17 23:03:33 2015  pruned 84871 relations
Sat Jan 17 23:03:33 2015  memory use: 88.0 MB
Sat Jan 17 23:03:33 2015  distribution of cycle lengths:
Sat Jan 17 23:03:33 2015  1 relations: 32547
Sat Jan 17 23:03:33 2015  2 relations: 45051
Sat Jan 17 23:03:33 2015  3 relations: 51415
Sat Jan 17 23:03:33 2015  4 relations: 50194
Sat Jan 17 23:03:33 2015  5 relations: 49319
Sat Jan 17 23:03:33 2015  6 relations: 45468
Sat Jan 17 23:03:33 2015  7 relations: 40724
Sat Jan 17 23:03:33 2015  8 relations: 34774
Sat Jan 17 23:03:33 2015  9 relations: 28752
Sat Jan 17 23:03:33 2015  10+ relations: 78227
Sat Jan 17 23:03:33 2015  heaviest cycle: 20 relations
Sat Jan 17 23:03:34 2015  RelProcTime: 107
Sat Jan 17 23:03:34 2015  
Sat Jan 17 23:03:34 2015  commencing linear algebra
Sat Jan 17 23:03:34 2015  read 456471 cycles
Sat Jan 17 23:03:34 2015  cycles contain 1388954 unique relations
Sat Jan 17 23:03:43 2015  read 1388954 relations
Sat Jan 17 23:03:44 2015  using 20 quadratic characters above 134209740
Sat Jan 17 23:03:49 2015  building initial matrix
Sat Jan 17 23:03:56 2015  memory use: 169.8 MB
Sat Jan 17 23:03:57 2015  read 456471 cycles
Sat Jan 17 23:03:57 2015  matrix is 456294 x 456471 (136.7 MB) with weight 40418357 (88.55/col)
Sat Jan 17 23:03:57 2015  sparse part has weight 30807628 (67.49/col)
Sat Jan 17 23:03:58 2015  filtering completed in 2 passes
Sat Jan 17 23:03:59 2015  matrix is 456226 x 456403 (136.7 MB) with weight 40416113 (88.55/col)
Sat Jan 17 23:03:59 2015  sparse part has weight 30806851 (67.50/col)
Sat Jan 17 23:03:59 2015  matrix starts at (0, 0)
Sat Jan 17 23:03:59 2015  matrix is 456226 x 456403 (136.7 MB) with weight 40416113 (88.55/col)
Sat Jan 17 23:03:59 2015  sparse part has weight 30806851 (67.50/col)
Sat Jan 17 23:03:59 2015  saving the first 48 matrix rows for later
Sat Jan 17 23:03:59 2015  matrix includes 64 packed rows
Sat Jan 17 23:03:59 2015  matrix is 456178 x 456403 (128.6 MB) with weight 31965099 (70.04/col)
Sat Jan 17 23:03:59 2015  sparse part has weight 29139429 (63.85/col)
Sat Jan 17 23:03:59 2015  using block size 65536 for processor cache size 8192 kB
Sat Jan 17 23:04:01 2015  commencing Lanczos iteration (8 threads)
Sat Jan 17 23:04:01 2015  memory use: 123.9 MB
Sat Jan 17 23:04:10 2015  linear algebra at 2.7%, ETA 0h 5m
Sat Jan 17 23:09:46 2015  lanczos halted after 7217 iterations (dim = 456177)
Sat Jan 17 23:09:46 2015  recovered 38 nontrivial dependencies
Sat Jan 17 23:09:46 2015  BLanczosTime: 372
Sat Jan 17 23:09:46 2015  
Sat Jan 17 23:09:46 2015  commencing square root phase
Sat Jan 17 23:09:46 2015  reading relations for dependency 1
Sat Jan 17 23:09:46 2015  read 228339 cycles
Sat Jan 17 23:09:46 2015  cycles contain 695162 unique relations
Sat Jan 17 23:09:54 2015  read 695162 relations
Sat Jan 17 23:09:55 2015  multiplying 695162 relations
Sat Jan 17 23:10:07 2015  multiply complete, coefficients have about 19.15 million bits
Sat Jan 17 23:10:07 2015  initial square root is modulo 317321
Sat Jan 17 23:10:22 2015  sqrtTime: 36
--
n: 248657760315043675582136534891523123439510070773306704957527449875791932996993741046280209675752562164683993117622586371
m: 5000000000000000000000000000000
deg: 5
c5: 112
c0: -485
skew: 1.34
# Murphy_E = 6.872e-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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:07:19 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 19 秒 (日本時間)

7×10155-979

c154

name 名前Cyp
date 日付January 12, 2015 06:38:27 UTC 2015 年 1 月 12 日 (月) 15 時 38 分 27 秒 (日本時間)
composite number 合成数
1275045537340619307832422586520947176684881602914389799635701275045537340619307832422586520947176684881602914389799635701275045537340619307832422586520947<154>
prime factors 素因数
132591476117513538188972757837594035532408165877<48>
9616346198684510017634371964196355170710830704635189413030640644091096449548931011999672474281905163891911<106>
factorization results 素因数分解の結果
01/12/15 05:28:16 v1.34.3, 
01/12/15 05:28:16 v1.34.3, ****************************
01/12/15 05:28:16 v1.34.3, Starting factorization of 1275045537340619307832422586520947176684881602914389799635701275045537340619307832422586520947176684881602914389799635701275045537340619307832422586520947
01/12/15 05:28:16 v1.34.3, using pretesting plan: none
01/12/15 05:28:16 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/12/15 05:28:16 v1.34.3, ****************************
01/12/15 05:28:16 v1.34.3, nfs: commencing nfs on c154: 1275045537340619307832422586520947176684881602914389799635701275045537340619307832422586520947176684881602914389799635701275045537340619307832422586520947
01/12/15 05:28:16 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/12/15 05:28:16 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/12/15 05:32:39 v1.34.3, nfs: commencing lattice sieving with 8 threads
[24 lines snipped]
01/12/15 07:24:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/12/15 07:28:39 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/12/15 07:33:05 v1.34.3, nfs: commencing msieve filtering
01/12/15 07:34:52 v1.34.3, nfs: commencing msieve linear algebra
01/12/15 07:38:00 v1.34.3, nfs: commencing msieve sqrt
01/12/15 07:38:26 v1.34.3, prp106 = 9616346198684510017634371964196355170710830704635189413030640644091096449548931011999672474281905163891911
01/12/15 07:38:26 v1.34.3, prp48 = 132591476117513538188972757837594035532408165877
01/12/15 07:38:26 v1.34.3, NFS elapsed time = 7809.4088 seconds.
01/12/15 07:38:26 v1.34.3, 
01/12/15 07:38:26 v1.34.3, 
01/12/15 07:38:26 v1.34.3, Total factoring time = 7809.4098 seconds
--
Mon Jan 12 07:33:05 2015  
Mon Jan 12 07:33:05 2015  commencing relation filtering
Mon Jan 12 07:33:05 2015  estimated available RAM is 15987.3 MB
Mon Jan 12 07:33:05 2015  commencing duplicate removal, pass 1
Mon Jan 12 07:33:35 2015  found 1262620 hash collisions in 10337142 relations
Mon Jan 12 07:33:43 2015  added 361166 free relations
Mon Jan 12 07:33:43 2015  commencing duplicate removal, pass 2
Mon Jan 12 07:33:51 2015  found 739897 duplicates and 9958411 unique relations
Mon Jan 12 07:33:51 2015  memory use: 41.3 MB
Mon Jan 12 07:33:51 2015  reading ideals above 100000
Mon Jan 12 07:33:51 2015  commencing singleton removal, initial pass
Mon Jan 12 07:34:32 2015  memory use: 188.2 MB
Mon Jan 12 07:34:32 2015  reading all ideals from disk
Mon Jan 12 07:34:32 2015  memory use: 341.1 MB
Mon Jan 12 07:34:33 2015  keeping 9838183 ideals with weight <= 200, target excess is 52936
Mon Jan 12 07:34:33 2015  commencing in-memory singleton removal
Mon Jan 12 07:34:34 2015  begin with 9958411 relations and 9838183 unique ideals
Mon Jan 12 07:34:37 2015  reduce to 5075808 relations and 3885823 ideals in 12 passes
Mon Jan 12 07:34:37 2015  max relations containing the same ideal: 131
Mon Jan 12 07:34:38 2015  removing 1274501 relations and 874501 ideals in 400000 cliques
Mon Jan 12 07:34:38 2015  commencing in-memory singleton removal
Mon Jan 12 07:34:38 2015  begin with 3801307 relations and 3885823 unique ideals
Mon Jan 12 07:34:39 2015  reduce to 3598202 relations and 2789082 ideals in 7 passes
Mon Jan 12 07:34:39 2015  max relations containing the same ideal: 102
Mon Jan 12 07:34:40 2015  removing 1078993 relations and 678993 ideals in 400000 cliques
Mon Jan 12 07:34:40 2015  commencing in-memory singleton removal
Mon Jan 12 07:34:41 2015  begin with 2519209 relations and 2789082 unique ideals
Mon Jan 12 07:34:41 2015  reduce to 2350983 relations and 1924548 ideals in 8 passes
Mon Jan 12 07:34:41 2015  max relations containing the same ideal: 75
Mon Jan 12 07:34:42 2015  removing 947350 relations and 582321 ideals in 365029 cliques
Mon Jan 12 07:34:42 2015  commencing in-memory singleton removal
Mon Jan 12 07:34:42 2015  begin with 1403633 relations and 1924548 unique ideals
Mon Jan 12 07:34:42 2015  reduce to 1218232 relations and 1131317 ideals in 9 passes
Mon Jan 12 07:34:42 2015  max relations containing the same ideal: 49
Mon Jan 12 07:34:43 2015  removing 121535 relations and 96026 ideals in 25509 cliques
Mon Jan 12 07:34:43 2015  commencing in-memory singleton removal
Mon Jan 12 07:34:43 2015  begin with 1096697 relations and 1131317 unique ideals
Mon Jan 12 07:34:43 2015  reduce to 1084472 relations and 1022762 ideals in 8 passes
Mon Jan 12 07:34:43 2015  max relations containing the same ideal: 46
Mon Jan 12 07:34:43 2015  relations with 0 large ideals: 1241
Mon Jan 12 07:34:43 2015  relations with 1 large ideals: 895
Mon Jan 12 07:34:43 2015  relations with 2 large ideals: 12013
Mon Jan 12 07:34:43 2015  relations with 3 large ideals: 67363
Mon Jan 12 07:34:43 2015  relations with 4 large ideals: 190051
Mon Jan 12 07:34:43 2015  relations with 5 large ideals: 300865
Mon Jan 12 07:34:43 2015  relations with 6 large ideals: 293283
Mon Jan 12 07:34:43 2015  relations with 7+ large ideals: 218761
Mon Jan 12 07:34:43 2015  commencing 2-way merge
Mon Jan 12 07:34:43 2015  reduce to 691238 relation sets and 629528 unique ideals
Mon Jan 12 07:34:43 2015  commencing full merge
Mon Jan 12 07:34:49 2015  memory use: 78.7 MB
Mon Jan 12 07:34:49 2015  found 347953 cycles, need 339728
Mon Jan 12 07:34:49 2015  weight of 339728 cycles is about 23990601 (70.62/cycle)
Mon Jan 12 07:34:49 2015  distribution of cycle lengths:
Mon Jan 12 07:34:49 2015  1 relations: 28981
Mon Jan 12 07:34:49 2015  2 relations: 32383
Mon Jan 12 07:34:49 2015  3 relations: 36079
Mon Jan 12 07:34:49 2015  4 relations: 36596
Mon Jan 12 07:34:49 2015  5 relations: 35688
Mon Jan 12 07:34:49 2015  6 relations: 32111
Mon Jan 12 07:34:49 2015  7 relations: 28474
Mon Jan 12 07:34:49 2015  8 relations: 23928
Mon Jan 12 07:34:49 2015  9 relations: 19860
Mon Jan 12 07:34:49 2015  10+ relations: 65628
Mon Jan 12 07:34:49 2015  heaviest cycle: 21 relations
Mon Jan 12 07:34:49 2015  commencing cycle optimization
Mon Jan 12 07:34:50 2015  start with 2096821 relations
Mon Jan 12 07:34:51 2015  pruned 70248 relations
Mon Jan 12 07:34:51 2015  memory use: 65.4 MB
Mon Jan 12 07:34:51 2015  distribution of cycle lengths:
Mon Jan 12 07:34:51 2015  1 relations: 28981
Mon Jan 12 07:34:51 2015  2 relations: 33110
Mon Jan 12 07:34:51 2015  3 relations: 37495
Mon Jan 12 07:34:51 2015  4 relations: 37990
Mon Jan 12 07:34:51 2015  5 relations: 37256
Mon Jan 12 07:34:51 2015  6 relations: 33154
Mon Jan 12 07:34:51 2015  7 relations: 29194
Mon Jan 12 07:34:51 2015  8 relations: 24240
Mon Jan 12 07:34:51 2015  9 relations: 19910
Mon Jan 12 07:34:51 2015  10+ relations: 58398
Mon Jan 12 07:34:51 2015  heaviest cycle: 20 relations
Mon Jan 12 07:34:52 2015  RelProcTime: 107
Mon Jan 12 07:34:52 2015  
Mon Jan 12 07:34:52 2015  commencing linear algebra
Mon Jan 12 07:34:52 2015  read 339728 cycles
Mon Jan 12 07:34:52 2015  cycles contain 1045686 unique relations
Mon Jan 12 07:35:01 2015  read 1045686 relations
Mon Jan 12 07:35:01 2015  using 20 quadratic characters above 134216142
Mon Jan 12 07:35:04 2015  building initial matrix
Mon Jan 12 07:35:10 2015  memory use: 131.9 MB
Mon Jan 12 07:35:10 2015  read 339728 cycles
Mon Jan 12 07:35:10 2015  matrix is 339551 x 339728 (101.2 MB) with weight 30706993 (90.39/col)
Mon Jan 12 07:35:10 2015  sparse part has weight 22795013 (67.10/col)
Mon Jan 12 07:35:11 2015  filtering completed in 2 passes
Mon Jan 12 07:35:11 2015  matrix is 339399 x 339576 (101.2 MB) with weight 30701840 (90.41/col)
Mon Jan 12 07:35:11 2015  sparse part has weight 22793275 (67.12/col)
Mon Jan 12 07:35:12 2015  matrix starts at (0, 0)
Mon Jan 12 07:35:12 2015  matrix is 339399 x 339576 (101.2 MB) with weight 30701840 (90.41/col)
Mon Jan 12 07:35:12 2015  sparse part has weight 22793275 (67.12/col)
Mon Jan 12 07:35:12 2015  saving the first 48 matrix rows for later
Mon Jan 12 07:35:12 2015  matrix includes 64 packed rows
Mon Jan 12 07:35:12 2015  matrix is 339351 x 339576 (96.1 MB) with weight 24278660 (71.50/col)
Mon Jan 12 07:35:12 2015  sparse part has weight 21791903 (64.17/col)
Mon Jan 12 07:35:12 2015  using block size 65536 for processor cache size 8192 kB
Mon Jan 12 07:35:12 2015  commencing Lanczos iteration (8 threads)
Mon Jan 12 07:35:12 2015  memory use: 92.4 MB
Mon Jan 12 07:35:18 2015  linear algebra at 3.6%, ETA 0h 2m
Mon Jan 12 07:38:00 2015  lanczos halted after 5368 iterations (dim = 339349)
Mon Jan 12 07:38:00 2015  recovered 34 nontrivial dependencies
Mon Jan 12 07:38:00 2015  BLanczosTime: 188
Mon Jan 12 07:38:00 2015  
Mon Jan 12 07:38:00 2015  commencing square root phase
Mon Jan 12 07:38:00 2015  reading relations for dependency 1
Mon Jan 12 07:38:00 2015  read 169246 cycles
Mon Jan 12 07:38:00 2015  cycles contain 520826 unique relations
Mon Jan 12 07:38:08 2015  read 520826 relations
Mon Jan 12 07:38:09 2015  multiplying 520826 relations
Mon Jan 12 07:38:16 2015  multiply complete, coefficients have about 12.69 million bits
Mon Jan 12 07:38:16 2015  initial square root is modulo 19503251
Mon Jan 12 07:38:26 2015  sqrtTime: 26
--
n: 1275045537340619307832422586520947176684881602914389799635701275045537340619307832422586520947176684881602914389799635701275045537340619307832422586520947
m: 10000000000000000000000000000000
deg: 5
c5: 7
c0: -97
skew: 1.69
# Murphy_E = 9.418e-10
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:07:19 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 19 秒 (日本時間)

7×10157-979

c142

name 名前Serge Batalov
date 日付January 9, 2015 03:53:33 UTC 2015 年 1 月 9 日 (金) 12 時 53 分 33 秒 (日本時間)
composite number 合成数
6303887994095946048863993431307954001768379525121099463908330793662038053940592207536451572968313771872309317467186922841100260016188322243037<142>
prime factors 素因数
79752702625878333604750234799<29>
79042938816351115216935577784562749255907597970356048803570581741490357908465066506181231251659348681302390189363<113>
factorization results 素因数分解の結果
Input number is 6303887994095946048863993431307954001768379525121099463908330793662038053940592207536451572968313771872309317467186922841100260016188322243037 (142 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3644741740
Step 1 took 9811ms
Step 2 took 8645ms
********** Factor found in step 2: 79752702625878333604750234799
Found probable prime factor of 29 digits: 79752702625878333604750234799
Probable prime cofactor 79042938816351115216935577784562749255907597970356048803570581741490357908465066506181231251659348681302390189363 has 113 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:07:20 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 20 秒 (日本時間)

7×10158-979

c152

name 名前Serge Batalov
date 日付January 9, 2015 03:53:37 UTC 2015 年 1 月 9 日 (金) 12 時 53 分 37 秒 (日本時間)
composite number 合成数
20463813502392497521612929715600059087799787193879986691505058815484897515614108957470144100035539797249797941767178340936078559761483144702285571172661<152>
prime factors 素因数
546168229834414564362624550536837731<36>
37467967531902482222061948308559559904858749667332161087951345571113929048638015091540497916465891668535886217713031<116>
factorization results 素因数分解の結果
Input number is 20463813502392497521612929715600059087799787193879986691505058815484897515614108957470144100035539797249797941767178340936078559761483144702285571172661 (152 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1755635998
Step 1 took 9204ms
Step 2 took 7747ms
********** Factor found in step 2: 546168229834414564362624550536837731
Found probable prime factor of 36 digits: 546168229834414564362624550536837731
Probable prime cofactor 37467967531902482222061948308559559904858749667332161087951345571113929048638015091540497916465891668535886217713031 has 116 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:07:20 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 20 秒 (日本時間)

7×10162-979

c134

name 名前Jo Yeong Uk
date 日付February 1, 2015 09:24:39 UTC 2015 年 2 月 1 日 (日) 18 時 24 分 39 秒 (日本時間)
composite number 合成数
69024323614649007990831242721736752469419071375650557482133310209214298059000156746206568980153392619876202525765748939293972945522421<134>
prime factors 素因数
23411533098114089661367641020730489915712278982132505081<56>
2948304296236338556766175846576831214827350088253428390390584019368488594226141<79>
factorization results 素因数分解の結果
Number: 77767_162
N=69024323614649007990831242721736752469419071375650557482133310209214298059000156746206568980153392619876202525765748939293972945522421
  ( 134 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=23411533098114089661367641020730489915712278982132505081
 r2=2948304296236338556766175846576831214827350088253428390390584019368488594226141
Version: 
Total time: 16.10 hours.
Scaled time: 83.64 units (timescale=5.195).
Factorization parameters were as follows:
n: 69024323614649007990831242721736752469419071375650557482133310209214298059000156746206568980153392619876202525765748939293972945522421
m: 100000000000000000000000000000000
deg: 5
c5: 700
c0: -97
skew: 0.67
# Murphy_E = 3.183e-10
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 4200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10030810
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 739236 x 739484
Total sieving time: 14.82 hours.
Total relation processing time: 0.57 hours.
Matrix solve time: 0.51 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 16.10 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:07:21 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 21 秒 (日本時間)

7×10163-979

c125

name 名前Pierre Jammes
date 日付January 23, 2015 04:43:18 UTC 2015 年 1 月 23 日 (金) 13 時 43 分 18 秒 (日本時間)
composite number 合成数
42742884987837988122136515707996009982956373656226361847994466053049904703636819206164088439180952757025639150326233183530541<125>
prime factors 素因数
1004353420240547129376733278908915655461<40>
42557613810486030193336207942636284198894528042205699711877619825657429638059572786281<86>
factorization results 素因数分解の結果
Using B1=11000000, B2=144269945836, polynomial Dickson(12), sigma=2266381394
Step 1 took 60304ms
Step 2 took 51856ms
********** Factor found in step 2: 1004353420240547129376733278908915655461
Found probable prime factor of 40 digits: 1004353420240547129376733278908915655461
Probable prime cofactor 42557613810486030193336207942636284198894528042205699711877619825657429638059572786281 has 86 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
debian 8

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:07:22 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 22 秒 (日本時間)

7×10165-979

c148

name 名前Serge Batalov
date 日付January 9, 2015 03:53:42 UTC 2015 年 1 月 9 日 (金) 12 時 53 分 42 秒 (日本時間)
composite number 合成数
1581100575896784670898255208163598275454742918315611833248651730545327472280958838167026821235881134735353789017666869115955408102626969833589203157<148>
prime factors 素因数
2717526670467501161015494672282728803<37>
581816028920439261735203219910054102871585069006842355083316617336242078030819280897944069278899271279544905319<111>
factorization results 素因数分解の結果
Input number is 1581100575896784670898255208163598275454742918315611833248651730545327472280958838167026821235881134735353789017666869115955408102626969833589203157 (148 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3475455985
Step 1 took 9807ms
Step 2 took 8982ms
********** Factor found in step 2: 2717526670467501161015494672282728803
Found probable prime factor of 37 digits: 2717526670467501161015494672282728803
Probable prime cofactor 581816028920439261735203219910054102871585069006842355083316617336242078030819280897944069278899271279544905319 has 111 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:07:22 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 22 秒 (日本時間)

7×10166-979

c150

name 名前Cyp
date 日付February 28, 2015 00:21:08 UTC 2015 年 2 月 28 日 (土) 9 時 21 分 8 秒 (日本時間)
composite number 合成数
231541321997543907153119772162175622382212714664601169169741310580158472519770313527235412032323374824784457236299070721482195368649848644101640212403<150>
prime factors 素因数
162890171449247949053707031419568891018518115018122561<54>
1421456678064125857318399658464794087554064902411318008411115523441409829072915158053973821633523<97>
factorization results 素因数分解の結果
02/27/15 20:15:56 v1.34.3, 
02/27/15 20:15:56 v1.34.3, ****************************
02/27/15 20:15:56 v1.34.3, Starting factorization of 231541321997543907153119772162175622382212714664601169169741310580158472519770313527235412032323374824784457236299070721482195368649848644101640212403
02/27/15 20:15:56 v1.34.3, using pretesting plan: none
02/27/15 20:15:56 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
02/27/15 20:15:56 v1.34.3, ****************************
02/27/15 20:15:56 v1.34.3, nfs: commencing nfs on c150: 231541321997543907153119772162175622382212714664601169169741310580158472519770313527235412032323374824784457236299070721482195368649848644101640212403
02/27/15 20:15:56 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
02/27/15 20:15:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/27/15 20:20:28 v1.34.3, nfs: commencing lattice sieving with 8 threads
[57 lines snipped]
02/28/15 00:46:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/28/15 00:51:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/28/15 00:55:37 v1.34.3, nfs: commencing msieve filtering
02/28/15 00:57:35 v1.34.3, nfs: commencing msieve linear algebra
02/28/15 01:16:23 v1.34.3, nfs: commencing msieve sqrt
02/28/15 01:21:07 v1.34.3, prp97 = 1421456678064125857318399658464794087554064902411318008411115523441409829072915158053973821633523
02/28/15 01:21:07 v1.34.3, prp54 = 162890171449247949053707031419568891018518115018122561
02/28/15 01:21:07 v1.34.3, NFS elapsed time = 18310.4250 seconds.
02/28/15 01:21:07 v1.34.3, 
02/28/15 01:21:07 v1.34.3, 
02/28/15 01:21:07 v1.34.3, Total factoring time = 18310.4258 seconds
--
Sat Feb 28 00:55:37 2015  
Sat Feb 28 00:55:37 2015  commencing relation filtering
Sat Feb 28 00:55:37 2015  estimated available RAM is 15987.3 MB
Sat Feb 28 00:55:37 2015  commencing duplicate removal, pass 1
Sat Feb 28 00:56:05 2015  found 1397577 hash collisions in 10133793 relations
Sat Feb 28 00:56:14 2015  added 366057 free relations
Sat Feb 28 00:56:14 2015  commencing duplicate removal, pass 2
Sat Feb 28 00:56:22 2015  found 961649 duplicates and 9538201 unique relations
Sat Feb 28 00:56:22 2015  memory use: 41.3 MB
Sat Feb 28 00:56:22 2015  reading ideals above 100000
Sat Feb 28 00:56:22 2015  commencing singleton removal, initial pass
Sat Feb 28 00:57:03 2015  memory use: 344.5 MB
Sat Feb 28 00:57:03 2015  reading all ideals from disk
Sat Feb 28 00:57:03 2015  memory use: 342.2 MB
Sat Feb 28 00:57:04 2015  keeping 10369562 ideals with weight <= 200, target excess is 49883
Sat Feb 28 00:57:04 2015  commencing in-memory singleton removal
Sat Feb 28 00:57:05 2015  begin with 9538201 relations and 10369562 unique ideals
Sat Feb 28 00:57:09 2015  reduce to 4108813 relations and 3763835 ideals in 18 passes
Sat Feb 28 00:57:09 2015  max relations containing the same ideal: 121
Sat Feb 28 00:57:10 2015  removing 804966 relations and 661409 ideals in 143557 cliques
Sat Feb 28 00:57:10 2015  commencing in-memory singleton removal
Sat Feb 28 00:57:10 2015  begin with 3303847 relations and 3763835 unique ideals
Sat Feb 28 00:57:12 2015  reduce to 3170074 relations and 2962657 ideals in 11 passes
Sat Feb 28 00:57:12 2015  max relations containing the same ideal: 100
Sat Feb 28 00:57:13 2015  removing 638677 relations and 495120 ideals in 143557 cliques
Sat Feb 28 00:57:13 2015  commencing in-memory singleton removal
Sat Feb 28 00:57:13 2015  begin with 2531397 relations and 2962657 unique ideals
Sat Feb 28 00:57:14 2015  reduce to 2424633 relations and 2355981 ideals in 10 passes
Sat Feb 28 00:57:14 2015  max relations containing the same ideal: 79
Sat Feb 28 00:57:14 2015  removing 82200 relations and 71413 ideals in 10787 cliques
Sat Feb 28 00:57:15 2015  commencing in-memory singleton removal
Sat Feb 28 00:57:15 2015  begin with 2342433 relations and 2355981 unique ideals
Sat Feb 28 00:57:15 2015  reduce to 2340736 relations and 2282863 ideals in 5 passes
Sat Feb 28 00:57:15 2015  max relations containing the same ideal: 78
Sat Feb 28 00:57:15 2015  relations with 0 large ideals: 1111
Sat Feb 28 00:57:15 2015  relations with 1 large ideals: 338
Sat Feb 28 00:57:15 2015  relations with 2 large ideals: 5285
Sat Feb 28 00:57:15 2015  relations with 3 large ideals: 43808
Sat Feb 28 00:57:15 2015  relations with 4 large ideals: 186325
Sat Feb 28 00:57:15 2015  relations with 5 large ideals: 457030
Sat Feb 28 00:57:15 2015  relations with 6 large ideals: 688173
Sat Feb 28 00:57:15 2015  relations with 7+ large ideals: 958666
Sat Feb 28 00:57:15 2015  commencing 2-way merge
Sat Feb 28 00:57:16 2015  reduce to 1398657 relation sets and 1340784 unique ideals
Sat Feb 28 00:57:16 2015  commencing full merge
Sat Feb 28 00:57:29 2015  memory use: 170.0 MB
Sat Feb 28 00:57:29 2015  found 710528 cycles, need 702984
Sat Feb 28 00:57:30 2015  weight of 702984 cycles is about 49602323 (70.56/cycle)
Sat Feb 28 00:57:30 2015  distribution of cycle lengths:
Sat Feb 28 00:57:30 2015  1 relations: 81446
Sat Feb 28 00:57:30 2015  2 relations: 75156
Sat Feb 28 00:57:30 2015  3 relations: 75512
Sat Feb 28 00:57:30 2015  4 relations: 70911
Sat Feb 28 00:57:30 2015  5 relations: 66075
Sat Feb 28 00:57:30 2015  6 relations: 59072
Sat Feb 28 00:57:30 2015  7 relations: 52061
Sat Feb 28 00:57:30 2015  8 relations: 45585
Sat Feb 28 00:57:30 2015  9 relations: 38578
Sat Feb 28 00:57:30 2015  10+ relations: 138588
Sat Feb 28 00:57:30 2015  heaviest cycle: 22 relations
Sat Feb 28 00:57:30 2015  commencing cycle optimization
Sat Feb 28 00:57:30 2015  start with 4251150 relations
Sat Feb 28 00:57:34 2015  pruned 103869 relations
Sat Feb 28 00:57:34 2015  memory use: 138.8 MB
Sat Feb 28 00:57:34 2015  distribution of cycle lengths:
Sat Feb 28 00:57:34 2015  1 relations: 81446
Sat Feb 28 00:57:34 2015  2 relations: 76644
Sat Feb 28 00:57:34 2015  3 relations: 77929
Sat Feb 28 00:57:34 2015  4 relations: 72559
Sat Feb 28 00:57:34 2015  5 relations: 67920
Sat Feb 28 00:57:34 2015  6 relations: 60067
Sat Feb 28 00:57:34 2015  7 relations: 53137
Sat Feb 28 00:57:34 2015  8 relations: 45829
Sat Feb 28 00:57:34 2015  9 relations: 38508
Sat Feb 28 00:57:34 2015  10+ relations: 128945
Sat Feb 28 00:57:34 2015  heaviest cycle: 22 relations
Sat Feb 28 00:57:35 2015  RelProcTime: 118
Sat Feb 28 00:57:35 2015  
Sat Feb 28 00:57:35 2015  commencing linear algebra
Sat Feb 28 00:57:35 2015  read 702984 cycles
Sat Feb 28 00:57:35 2015  cycles contain 2297742 unique relations
Sat Feb 28 00:57:47 2015  read 2297742 relations
Sat Feb 28 00:57:48 2015  using 20 quadratic characters above 134216948
Sat Feb 28 00:57:55 2015  building initial matrix
Sat Feb 28 00:58:07 2015  memory use: 288.2 MB
Sat Feb 28 00:58:08 2015  read 702984 cycles
Sat Feb 28 00:58:08 2015  matrix is 702817 x 702984 (211.4 MB) with weight 63741263 (90.67/col)
Sat Feb 28 00:58:08 2015  sparse part has weight 47674273 (67.82/col)
Sat Feb 28 00:58:11 2015  filtering completed in 2 passes
Sat Feb 28 00:58:11 2015  matrix is 702477 x 702648 (211.3 MB) with weight 63730056 (90.70/col)
Sat Feb 28 00:58:11 2015  sparse part has weight 47670840 (67.84/col)
Sat Feb 28 00:58:12 2015  matrix starts at (0, 0)
Sat Feb 28 00:58:13 2015  matrix is 702477 x 702648 (211.3 MB) with weight 63730056 (90.70/col)
Sat Feb 28 00:58:13 2015  sparse part has weight 47670840 (67.84/col)
Sat Feb 28 00:58:13 2015  saving the first 48 matrix rows for later
Sat Feb 28 00:58:13 2015  matrix includes 64 packed rows
Sat Feb 28 00:58:13 2015  matrix is 702429 x 702648 (201.1 MB) with weight 50525641 (71.91/col)
Sat Feb 28 00:58:13 2015  sparse part has weight 45699683 (65.04/col)
Sat Feb 28 00:58:13 2015  using block size 65536 for processor cache size 8192 kB
Sat Feb 28 00:58:14 2015  commencing Lanczos iteration (8 threads)
Sat Feb 28 00:58:14 2015  memory use: 195.1 MB
Sat Feb 28 00:58:19 2015  linear algebra at 0.4%, ETA 0h19m
Sat Feb 28 01:16:22 2015  lanczos halted after 11110 iterations (dim = 702425)
Sat Feb 28 01:16:22 2015  recovered 38 nontrivial dependencies
Sat Feb 28 01:16:23 2015  BLanczosTime: 1128
Sat Feb 28 01:16:23 2015  
Sat Feb 28 01:16:23 2015  commencing square root phase
Sat Feb 28 01:16:23 2015  reading relations for dependency 1
Sat Feb 28 01:16:23 2015  read 350979 cycles
Sat Feb 28 01:16:23 2015  cycles contain 1147594 unique relations
Sat Feb 28 01:16:32 2015  read 1147594 relations
Sat Feb 28 01:16:34 2015  multiplying 1147594 relations
Sat Feb 28 01:16:55 2015  multiply complete, coefficients have about 31.93 million bits
Sat Feb 28 01:16:55 2015  initial square root is modulo 1475061241
Sat Feb 28 01:17:19 2015  Newton iteration failed to converge
Sat Feb 28 01:17:19 2015  algebraic square root failed
Sat Feb 28 01:17:19 2015  reading relations for dependency 2
Sat Feb 28 01:17:19 2015  read 351218 cycles
Sat Feb 28 01:17:20 2015  cycles contain 1147972 unique relations
Sat Feb 28 01:17:29 2015  read 1147972 relations
Sat Feb 28 01:17:31 2015  multiplying 1147972 relations
Sat Feb 28 01:17:52 2015  multiply complete, coefficients have about 31.94 million bits
Sat Feb 28 01:17:52 2015  initial square root is modulo 1484282341
Sat Feb 28 01:18:16 2015  Newton iteration failed to converge
Sat Feb 28 01:18:16 2015  algebraic square root failed
Sat Feb 28 01:18:16 2015  reading relations for dependency 3
Sat Feb 28 01:18:16 2015  read 351321 cycles
Sat Feb 28 01:18:17 2015  cycles contain 1149108 unique relations
Sat Feb 28 01:18:26 2015  read 1149108 relations
Sat Feb 28 01:18:28 2015  multiplying 1149108 relations
Sat Feb 28 01:18:49 2015  multiply complete, coefficients have about 31.97 million bits
Sat Feb 28 01:18:49 2015  initial square root is modulo 1517793911
Sat Feb 28 01:19:13 2015  GCD is 1, no factor found
Sat Feb 28 01:19:13 2015  reading relations for dependency 4
Sat Feb 28 01:19:13 2015  read 351701 cycles
Sat Feb 28 01:19:14 2015  cycles contain 1150376 unique relations
Sat Feb 28 01:19:23 2015  read 1150376 relations
Sat Feb 28 01:19:25 2015  multiplying 1150376 relations
Sat Feb 28 01:19:45 2015  multiply complete, coefficients have about 32.01 million bits
Sat Feb 28 01:19:45 2015  initial square root is modulo 1553236651
Sat Feb 28 01:20:10 2015  GCD is N, no factor found
Sat Feb 28 01:20:10 2015  reading relations for dependency 5
Sat Feb 28 01:20:10 2015  read 350987 cycles
Sat Feb 28 01:20:10 2015  cycles contain 1148008 unique relations
Sat Feb 28 01:20:19 2015  read 1148008 relations
Sat Feb 28 01:20:21 2015  multiplying 1148008 relations
Sat Feb 28 01:20:42 2015  multiply complete, coefficients have about 31.94 million bits
Sat Feb 28 01:20:42 2015  initial square root is modulo 1487369431
Sat Feb 28 01:21:07 2015  sqrtTime: 284
--
n: 231541321997543907153119772162175622382212714664601169169741310580158472519770313527235412032323374824784457236299070721482195368649848644101640212403
m: 1000000000000000000000000000000000
deg: 5
c5: 70
c0: -97
skew: 1.07
# Murphy_E = 2.843e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovJanuary 9, 2015 00:07:23 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 23 秒 (日本時間)
2350Ignacio SantosFebruary 22, 2015 10:04:42 UTC 2015 年 2 月 22 日 (日) 19 時 4 分 42 秒 (日本時間)

7×10167-979

c107

name 名前Cyp
date 日付January 9, 2015 18:46:26 UTC 2015 年 1 月 10 日 (土) 3 時 46 分 26 秒 (日本時間)
composite number 合成数
71824624316750814847205488900382720546387409426046670580059963382845957506947851439292193205725940317307023<107>
prime factors 素因数
182935628375804590661908984216426332951919<42>
392622393759194446670785044153462114442547569557268074904124667617<66>
factorization results 素因数分解の結果
01/09/15 18:38:55 v1.34.3, 
01/09/15 18:38:55 v1.34.3, ****************************
01/09/15 18:38:55 v1.34.3, Starting factorization of 71824624316750814847205488900382720546387409426046670580059963382845957506947851439292193205725940317307023
01/09/15 18:38:55 v1.34.3, using pretesting plan: none
01/09/15 18:38:55 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/09/15 18:38:55 v1.34.3, ****************************
01/09/15 18:38:55 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C107
01/09/15 18:38:55 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C107
01/09/15 18:38:55 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C107
01/09/15 18:38:55 v1.34.3, final ECM pretested depth: 0.00
01/09/15 18:38:55 v1.34.3, scheduler: switching to sieve method
01/09/15 18:38:55 v1.34.3, nfs: commencing nfs on c107: 71824624316750814847205488900382720546387409426046670580059963382845957506947851439292193205725940317307023
01/09/15 18:38:55 v1.34.3, nfs: commencing poly selection with 8 threads
01/09/15 18:38:55 v1.34.3, nfs: setting deadline of 317 seconds
01/09/15 18:45:15 v1.34.3, nfs: completed 63 ranges of size 250 in 379.9901 seconds
01/09/15 18:45:15 v1.34.3, nfs: best poly = # norm 1.095629e-14 alpha -5.240969 e 4.140e-09 rroots 2
01/09/15 18:45:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 18:46:50 v1.34.3, nfs: commencing lattice sieving with 8 threads
[20 lines snipped]
01/09/15 19:23:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 19:24:58 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 19:26:43 v1.34.3, nfs: commencing msieve filtering
01/09/15 19:27:22 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 19:29:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 19:30:48 v1.34.3, nfs: commencing msieve filtering
01/09/15 19:31:31 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 19:33:18 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 19:35:05 v1.34.3, nfs: commencing msieve filtering
01/09/15 19:35:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 19:37:37 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 19:39:27 v1.34.3, nfs: commencing msieve filtering
01/09/15 19:40:31 v1.34.3, nfs: commencing msieve linear algebra
01/09/15 19:45:38 v1.34.3, nfs: commencing msieve sqrt
01/09/15 19:46:25 v1.34.3, prp66 = 392622393759194446670785044153462114442547569557268074904124667617
01/09/15 19:46:25 v1.34.3, prp42 = 182935628375804590661908984216426332951919
01/09/15 19:46:25 v1.34.3, NFS elapsed time = 4049.9055 seconds.
01/09/15 19:46:25 v1.34.3, 
01/09/15 19:46:25 v1.34.3, 
01/09/15 19:46:25 v1.34.3, Total factoring time = 4049.9338 seconds
--
Fri Jan  9 19:26:43 2015  
Fri Jan  9 19:26:43 2015  commencing relation filtering
Fri Jan  9 19:26:43 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 19:26:43 2015  commencing duplicate removal, pass 1
Fri Jan  9 19:26:56 2015  found 476501 hash collisions in 4487769 relations
Fri Jan  9 19:27:00 2015  added 159098 free relations
Fri Jan  9 19:27:00 2015  commencing duplicate removal, pass 2
Fri Jan  9 19:27:03 2015  found 265795 duplicates and 4381072 unique relations
Fri Jan  9 19:27:03 2015  memory use: 20.6 MB
Fri Jan  9 19:27:03 2015  reading ideals above 100000
Fri Jan  9 19:27:03 2015  commencing singleton removal, initial pass
Fri Jan  9 19:27:21 2015  memory use: 172.2 MB
Fri Jan  9 19:27:21 2015  reading all ideals from disk
Fri Jan  9 19:27:21 2015  memory use: 142.8 MB
Fri Jan  9 19:27:21 2015  keeping 5502712 ideals with weight <= 200, target excess is 21036
Fri Jan  9 19:27:21 2015  commencing in-memory singleton removal
Fri Jan  9 19:27:21 2015  begin with 4381072 relations and 5502712 unique ideals
Fri Jan  9 19:27:22 2015  reduce to 407 relations and 0 ideals in 21 passes
Fri Jan  9 19:27:22 2015  max relations containing the same ideal: 0
Fri Jan  9 19:30:48 2015  
Fri Jan  9 19:30:48 2015  commencing relation filtering
Fri Jan  9 19:30:48 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 19:30:48 2015  commencing duplicate removal, pass 1
Fri Jan  9 19:31:03 2015  found 563726 hash collisions in 5011476 relations
Fri Jan  9 19:31:06 2015  added 1221 free relations
Fri Jan  9 19:31:06 2015  commencing duplicate removal, pass 2
Fri Jan  9 19:31:10 2015  found 305041 duplicates and 4707656 unique relations
Fri Jan  9 19:31:10 2015  memory use: 20.6 MB
Fri Jan  9 19:31:10 2015  reading ideals above 100000
Fri Jan  9 19:31:10 2015  commencing singleton removal, initial pass
Fri Jan  9 19:31:29 2015  memory use: 172.2 MB
Fri Jan  9 19:31:29 2015  reading all ideals from disk
Fri Jan  9 19:31:29 2015  memory use: 153.6 MB
Fri Jan  9 19:31:30 2015  keeping 5661348 ideals with weight <= 200, target excess is 22384
Fri Jan  9 19:31:30 2015  commencing in-memory singleton removal
Fri Jan  9 19:31:30 2015  begin with 4707656 relations and 5661348 unique ideals
Fri Jan  9 19:31:31 2015  reduce to 1008630 relations and 1142214 ideals in 33 passes
Fri Jan  9 19:31:31 2015  max relations containing the same ideal: 69
Fri Jan  9 19:35:05 2015  
Fri Jan  9 19:35:05 2015  commencing relation filtering
Fri Jan  9 19:35:05 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 19:35:05 2015  commencing duplicate removal, pass 1
Fri Jan  9 19:35:21 2015  found 640630 hash collisions in 5391087 relations
Fri Jan  9 19:35:25 2015  added 955 free relations
Fri Jan  9 19:35:25 2015  commencing duplicate removal, pass 2
Fri Jan  9 19:35:29 2015  found 348124 duplicates and 5043918 unique relations
Fri Jan  9 19:35:29 2015  memory use: 20.6 MB
Fri Jan  9 19:35:29 2015  reading ideals above 100000
Fri Jan  9 19:35:29 2015  commencing singleton removal, initial pass
Fri Jan  9 19:35:49 2015  memory use: 172.2 MB
Fri Jan  9 19:35:49 2015  reading all ideals from disk
Fri Jan  9 19:35:49 2015  memory use: 164.7 MB
Fri Jan  9 19:35:50 2015  keeping 5810659 ideals with weight <= 200, target excess is 24045
Fri Jan  9 19:35:50 2015  commencing in-memory singleton removal
Fri Jan  9 19:35:50 2015  begin with 5043918 relations and 5810659 unique ideals
Fri Jan  9 19:35:52 2015  reduce to 1543464 relations and 1589206 ideals in 26 passes
Fri Jan  9 19:35:52 2015  max relations containing the same ideal: 93
Fri Jan  9 19:39:27 2015  
Fri Jan  9 19:39:27 2015  commencing relation filtering
Fri Jan  9 19:39:27 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 19:39:27 2015  commencing duplicate removal, pass 1
Fri Jan  9 19:39:44 2015  found 719997 hash collisions in 5766130 relations
Fri Jan  9 19:39:47 2015  added 746 free relations
Fri Jan  9 19:39:47 2015  commencing duplicate removal, pass 2
Fri Jan  9 19:39:52 2015  found 392573 duplicates and 5374303 unique relations
Fri Jan  9 19:39:52 2015  memory use: 20.6 MB
Fri Jan  9 19:39:52 2015  reading ideals above 100000
Fri Jan  9 19:39:52 2015  commencing singleton removal, initial pass
Fri Jan  9 19:40:14 2015  memory use: 172.2 MB
Fri Jan  9 19:40:14 2015  reading all ideals from disk
Fri Jan  9 19:40:14 2015  memory use: 175.6 MB
Fri Jan  9 19:40:14 2015  keeping 5945424 ideals with weight <= 200, target excess is 25683
Fri Jan  9 19:40:14 2015  commencing in-memory singleton removal
Fri Jan  9 19:40:14 2015  begin with 5374303 relations and 5945424 unique ideals
Fri Jan  9 19:40:17 2015  reduce to 2020651 relations and 1953854 ideals in 23 passes
Fri Jan  9 19:40:17 2015  max relations containing the same ideal: 105
Fri Jan  9 19:40:17 2015  removing 217999 relations and 199497 ideals in 18502 cliques
Fri Jan  9 19:40:17 2015  commencing in-memory singleton removal
Fri Jan  9 19:40:17 2015  begin with 1802652 relations and 1953854 unique ideals
Fri Jan  9 19:40:18 2015  reduce to 1781157 relations and 1732558 ideals in 9 passes
Fri Jan  9 19:40:18 2015  max relations containing the same ideal: 95
Fri Jan  9 19:40:18 2015  removing 159193 relations and 140691 ideals in 18502 cliques
Fri Jan  9 19:40:18 2015  commencing in-memory singleton removal
Fri Jan  9 19:40:18 2015  begin with 1621964 relations and 1732558 unique ideals
Fri Jan  9 19:40:18 2015  reduce to 1608724 relations and 1578470 ideals in 8 passes
Fri Jan  9 19:40:18 2015  max relations containing the same ideal: 87
Fri Jan  9 19:40:19 2015  relations with 0 large ideals: 481
Fri Jan  9 19:40:19 2015  relations with 1 large ideals: 192
Fri Jan  9 19:40:19 2015  relations with 2 large ideals: 2858
Fri Jan  9 19:40:19 2015  relations with 3 large ideals: 25726
Fri Jan  9 19:40:19 2015  relations with 4 large ideals: 122053
Fri Jan  9 19:40:19 2015  relations with 5 large ideals: 340746
Fri Jan  9 19:40:19 2015  relations with 6 large ideals: 482908
Fri Jan  9 19:40:19 2015  relations with 7+ large ideals: 633760
Fri Jan  9 19:40:19 2015  commencing 2-way merge
Fri Jan  9 19:40:19 2015  reduce to 910652 relation sets and 880398 unique ideals
Fri Jan  9 19:40:19 2015  commencing full merge
Fri Jan  9 19:40:28 2015  memory use: 99.0 MB
Fri Jan  9 19:40:28 2015  found 434765 cycles, need 432598
Fri Jan  9 19:40:28 2015  weight of 432598 cycles is about 30376506 (70.22/cycle)
Fri Jan  9 19:40:28 2015  distribution of cycle lengths:
Fri Jan  9 19:40:28 2015  1 relations: 50177
Fri Jan  9 19:40:28 2015  2 relations: 48002
Fri Jan  9 19:40:28 2015  3 relations: 45917
Fri Jan  9 19:40:28 2015  4 relations: 41361
Fri Jan  9 19:40:28 2015  5 relations: 37588
Fri Jan  9 19:40:28 2015  6 relations: 31816
Fri Jan  9 19:40:28 2015  7 relations: 27457
Fri Jan  9 19:40:28 2015  8 relations: 24221
Fri Jan  9 19:40:28 2015  9 relations: 20946
Fri Jan  9 19:40:28 2015  10+ relations: 105113
Fri Jan  9 19:40:28 2015  heaviest cycle: 28 relations
Fri Jan  9 19:40:28 2015  commencing cycle optimization
Fri Jan  9 19:40:28 2015  start with 2879329 relations
Fri Jan  9 19:40:31 2015  pruned 62783 relations
Fri Jan  9 19:40:31 2015  memory use: 94.0 MB
Fri Jan  9 19:40:31 2015  distribution of cycle lengths:
Fri Jan  9 19:40:31 2015  1 relations: 50177
Fri Jan  9 19:40:31 2015  2 relations: 48993
Fri Jan  9 19:40:31 2015  3 relations: 47263
Fri Jan  9 19:40:31 2015  4 relations: 42316
Fri Jan  9 19:40:31 2015  5 relations: 38251
Fri Jan  9 19:40:31 2015  6 relations: 32169
Fri Jan  9 19:40:31 2015  7 relations: 27769
Fri Jan  9 19:40:31 2015  8 relations: 24205
Fri Jan  9 19:40:31 2015  9 relations: 20868
Fri Jan  9 19:40:31 2015  10+ relations: 100587
Fri Jan  9 19:40:31 2015  heaviest cycle: 28 relations
Fri Jan  9 19:40:31 2015  RelProcTime: 64
Fri Jan  9 19:40:31 2015  
Fri Jan  9 19:40:31 2015  commencing linear algebra
Fri Jan  9 19:40:31 2015  read 432598 cycles
Fri Jan  9 19:40:32 2015  cycles contain 1567331 unique relations
Fri Jan  9 19:40:39 2015  read 1567331 relations
Fri Jan  9 19:40:40 2015  using 20 quadratic characters above 67108388
Fri Jan  9 19:40:45 2015  building initial matrix
Fri Jan  9 19:40:53 2015  memory use: 192.8 MB
Fri Jan  9 19:40:53 2015  read 432598 cycles
Fri Jan  9 19:40:53 2015  matrix is 432424 x 432598 (129.6 MB) with weight 41416823 (95.74/col)
Fri Jan  9 19:40:53 2015  sparse part has weight 29221408 (67.55/col)
Fri Jan  9 19:40:55 2015  filtering completed in 2 passes
Fri Jan  9 19:40:55 2015  matrix is 431969 x 432147 (129.6 MB) with weight 41398004 (95.80/col)
Fri Jan  9 19:40:55 2015  sparse part has weight 29216491 (67.61/col)
Fri Jan  9 19:40:56 2015  matrix starts at (0, 0)
Fri Jan  9 19:40:56 2015  matrix is 431969 x 432147 (129.6 MB) with weight 41398004 (95.80/col)
Fri Jan  9 19:40:56 2015  sparse part has weight 29216491 (67.61/col)
Fri Jan  9 19:40:56 2015  saving the first 48 matrix rows for later
Fri Jan  9 19:40:56 2015  matrix includes 64 packed rows
Fri Jan  9 19:40:56 2015  matrix is 431921 x 432147 (125.1 MB) with weight 32759201 (75.81/col)
Fri Jan  9 19:40:56 2015  sparse part has weight 28481635 (65.91/col)
Fri Jan  9 19:40:56 2015  using block size 65536 for processor cache size 8192 kB
Fri Jan  9 19:40:57 2015  commencing Lanczos iteration (8 threads)
Fri Jan  9 19:40:57 2015  memory use: 119.3 MB
Fri Jan  9 19:41:05 2015  linear algebra at 2.8%, ETA 0h 4m
Fri Jan  9 19:45:38 2015  lanczos halted after 6832 iterations (dim = 431921)
Fri Jan  9 19:45:38 2015  recovered 33 nontrivial dependencies
Fri Jan  9 19:45:38 2015  BLanczosTime: 307
Fri Jan  9 19:45:38 2015  
Fri Jan  9 19:45:38 2015  commencing square root phase
Fri Jan  9 19:45:38 2015  reading relations for dependency 1
Fri Jan  9 19:45:38 2015  read 216015 cycles
Fri Jan  9 19:45:38 2015  cycles contain 783722 unique relations
Fri Jan  9 19:45:44 2015  read 783722 relations
Fri Jan  9 19:45:46 2015  multiplying 783722 relations
Fri Jan  9 19:46:02 2015  multiply complete, coefficients have about 33.71 million bits
Fri Jan  9 19:46:02 2015  initial square root is modulo 69239
Fri Jan  9 19:46:25 2015  sqrtTime: 47
--
n: 71824624316750814847205488900382720546387409426046670580059963382845957506947851439292193205725940317307023
skew: 5010605.08
c0: 511812264598505001324605892480
c1: 291245854751229103183996
c2: -126852071322800795
c3: -3287501118
c4: 3528
Y0: -67171701952428588006963137
Y1: 103338298075115
rlim: 2780000
alim: 2780000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

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

7×10168-979

c165

name 名前Ignacio Santos
date 日付February 8, 2015 10:18:00 UTC 2015 年 2 月 8 日 (日) 19 時 18 分 0 秒 (日本時間)
composite number 合成数
373751935501094559239681776923487639489561642372790859095520316087351166639970099845159912435260825457846120988840835068610176731272358374713011906668802392012387207<165>
prime factors 素因数
17684557091934219599384966999146573<35>
21134367887084926176789529058571543274865451384966368137338014673421776078378404292088032818937149795151169387609279611916172397859<131>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3770606793
Step 1 took 12391ms
Step 2 took 7469ms
********** Factor found in step 2: 17684557091934219599384966999146573
Found probable prime factor of 35 digits: 17684557091934219599384966999146573
Probable prime cofactor 21134367887084926176789529058571543274865451384966368137338014673421776078378404292088032818937149795151169387609279611916172397859 has 131 digits
software ソフトウェア
GMP-ECM 7.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:07:23 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 23 秒 (日本時間)

7×10169-979

c106

name 名前Cyp
date 日付January 9, 2015 13:08:54 UTC 2015 年 1 月 9 日 (金) 22 時 8 分 54 秒 (日本時間)
composite number 合成数
2520535701053735340991078225867389194278265061506525861731789148879670800381247210698643568313627311886503<106>
prime factors 素因数
5310016812663834389591133006671209403<37>
474675653576561466872679542373676016971876419544107397592657254365701<69>
factorization results 素因数分解の結果
01/09/15 13:14:33 v1.34.3, 
01/09/15 13:14:33 v1.34.3, ****************************
01/09/15 13:14:33 v1.34.3, Starting factorization of 2520535701053735340991078225867389194278265061506525861731789148879670800381247210698643568313627311886503
01/09/15 13:14:33 v1.34.3, using pretesting plan: none
01/09/15 13:14:33 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/09/15 13:14:33 v1.34.3, ****************************
01/09/15 13:14:33 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C106
01/09/15 13:14:33 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C106
01/09/15 13:14:33 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C106
01/09/15 13:14:33 v1.34.3, final ECM pretested depth: 0.00
01/09/15 13:14:33 v1.34.3, scheduler: switching to sieve method
01/09/15 13:14:33 v1.34.3, nfs: commencing nfs on c106: 2520535701053735340991078225867389194278265061506525861731789148879670800381247210698643568313627311886503
01/09/15 13:14:33 v1.34.3, nfs: commencing poly selection with 8 threads
01/09/15 13:14:33 v1.34.3, nfs: setting deadline of 264 seconds
01/09/15 13:21:00 v1.34.3, nfs: completed 46 ranges of size 250 in 387.4414 seconds
01/09/15 13:21:00 v1.34.3, nfs: best poly = # norm 1.676990e-14 alpha -5.047709 e 4.977e-09 rroots 2
01/09/15 13:21:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 13:22:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
[18 lines snipped]
01/09/15 13:51:33 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 13:53:07 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 13:54:43 v1.34.3, nfs: commencing msieve filtering
01/09/15 13:55:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 13:56:59 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 13:58:32 v1.34.3, nfs: commencing msieve filtering
01/09/15 13:59:17 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 14:00:53 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 14:02:31 v1.34.3, nfs: commencing msieve filtering
01/09/15 14:03:32 v1.34.3, nfs: commencing msieve linear algebra
01/09/15 14:08:11 v1.34.3, nfs: commencing msieve sqrt
01/09/15 14:08:53 v1.34.3, prp37 = 5310016812663834389591133006671209403
01/09/15 14:08:53 v1.34.3, prp69 = 474675653576561466872679542373676016971876419544107397592657254365701
01/09/15 14:08:53 v1.34.3, NFS elapsed time = 3260.6160 seconds.
01/09/15 14:08:53 v1.34.3, 
01/09/15 14:08:53 v1.34.3, 
01/09/15 14:08:53 v1.34.3, Total factoring time = 3260.6378 seconds
--
Fri Jan  9 13:54:43 2015  
Fri Jan  9 13:54:43 2015  commencing relation filtering
Fri Jan  9 13:54:43 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 13:54:43 2015  commencing duplicate removal, pass 1
Fri Jan  9 13:54:56 2015  found 452788 hash collisions in 4521580 relations
Fri Jan  9 13:55:00 2015  added 159171 free relations
Fri Jan  9 13:55:00 2015  commencing duplicate removal, pass 2
Fri Jan  9 13:55:03 2015  found 228805 duplicates and 4451946 unique relations
Fri Jan  9 13:55:03 2015  memory use: 20.6 MB
Fri Jan  9 13:55:03 2015  reading ideals above 100000
Fri Jan  9 13:55:03 2015  commencing singleton removal, initial pass
Fri Jan  9 13:55:21 2015  memory use: 172.2 MB
Fri Jan  9 13:55:21 2015  reading all ideals from disk
Fri Jan  9 13:55:21 2015  memory use: 143.7 MB
Fri Jan  9 13:55:21 2015  keeping 5489441 ideals with weight <= 200, target excess is 21358
Fri Jan  9 13:55:22 2015  commencing in-memory singleton removal
Fri Jan  9 13:55:22 2015  begin with 4451946 relations and 5489441 unique ideals
Fri Jan  9 13:55:24 2015  reduce to 402 relations and 0 ideals in 92 passes
Fri Jan  9 13:55:24 2015  max relations containing the same ideal: 0
Fri Jan  9 13:58:32 2015  
Fri Jan  9 13:58:32 2015  commencing relation filtering
Fri Jan  9 13:58:32 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 13:58:32 2015  commencing duplicate removal, pass 1
Fri Jan  9 13:58:47 2015  found 547957 hash collisions in 5097756 relations
Fri Jan  9 13:58:51 2015  added 1412 free relations
Fri Jan  9 13:58:51 2015  commencing duplicate removal, pass 2
Fri Jan  9 13:58:54 2015  found 268466 duplicates and 4830702 unique relations
Fri Jan  9 13:58:54 2015  memory use: 20.6 MB
Fri Jan  9 13:58:54 2015  reading ideals above 100000
Fri Jan  9 13:58:54 2015  commencing singleton removal, initial pass
Fri Jan  9 13:59:14 2015  memory use: 172.2 MB
Fri Jan  9 13:59:14 2015  reading all ideals from disk
Fri Jan  9 13:59:14 2015  memory use: 156.0 MB
Fri Jan  9 13:59:14 2015  keeping 5668725 ideals with weight <= 200, target excess is 22997
Fri Jan  9 13:59:15 2015  commencing in-memory singleton removal
Fri Jan  9 13:59:15 2015  begin with 4830702 relations and 5668725 unique ideals
Fri Jan  9 13:59:17 2015  reduce to 1295416 relations and 1363496 ideals in 33 passes
Fri Jan  9 13:59:17 2015  max relations containing the same ideal: 80
Fri Jan  9 14:02:31 2015  
Fri Jan  9 14:02:31 2015  commencing relation filtering
Fri Jan  9 14:02:31 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 14:02:31 2015  commencing duplicate removal, pass 1
Fri Jan  9 14:02:47 2015  found 630071 hash collisions in 5516067 relations
Fri Jan  9 14:02:50 2015  added 1096 free relations
Fri Jan  9 14:02:50 2015  commencing duplicate removal, pass 2
Fri Jan  9 14:02:54 2015  found 310714 duplicates and 5206449 unique relations
Fri Jan  9 14:02:54 2015  memory use: 20.6 MB
Fri Jan  9 14:02:54 2015  reading ideals above 100000
Fri Jan  9 14:02:54 2015  commencing singleton removal, initial pass
Fri Jan  9 14:03:15 2015  memory use: 172.2 MB
Fri Jan  9 14:03:16 2015  reading all ideals from disk
Fri Jan  9 14:03:16 2015  memory use: 168.2 MB
Fri Jan  9 14:03:16 2015  keeping 5829926 ideals with weight <= 200, target excess is 24769
Fri Jan  9 14:03:16 2015  commencing in-memory singleton removal
Fri Jan  9 14:03:17 2015  begin with 5206449 relations and 5829926 unique ideals
Fri Jan  9 14:03:18 2015  reduce to 1828470 relations and 1779766 ideals in 22 passes
Fri Jan  9 14:03:18 2015  max relations containing the same ideal: 99
Fri Jan  9 14:03:19 2015  removing 145402 relations and 135416 ideals in 9986 cliques
Fri Jan  9 14:03:19 2015  commencing in-memory singleton removal
Fri Jan  9 14:03:19 2015  begin with 1683068 relations and 1779766 unique ideals
Fri Jan  9 14:03:19 2015  reduce to 1672212 relations and 1633397 ideals in 10 passes
Fri Jan  9 14:03:19 2015  max relations containing the same ideal: 93
Fri Jan  9 14:03:20 2015  removing 103997 relations and 94011 ideals in 9986 cliques
Fri Jan  9 14:03:20 2015  commencing in-memory singleton removal
Fri Jan  9 14:03:20 2015  begin with 1568215 relations and 1633397 unique ideals
Fri Jan  9 14:03:20 2015  reduce to 1562003 relations and 1533139 ideals in 10 passes
Fri Jan  9 14:03:20 2015  max relations containing the same ideal: 89
Fri Jan  9 14:03:20 2015  relations with 0 large ideals: 443
Fri Jan  9 14:03:20 2015  relations with 1 large ideals: 180
Fri Jan  9 14:03:20 2015  relations with 2 large ideals: 2866
Fri Jan  9 14:03:20 2015  relations with 3 large ideals: 26430
Fri Jan  9 14:03:20 2015  relations with 4 large ideals: 123404
Fri Jan  9 14:03:20 2015  relations with 5 large ideals: 339978
Fri Jan  9 14:03:20 2015  relations with 6 large ideals: 475485
Fri Jan  9 14:03:20 2015  relations with 7+ large ideals: 593217
Fri Jan  9 14:03:20 2015  commencing 2-way merge
Fri Jan  9 14:03:21 2015  reduce to 868857 relation sets and 839993 unique ideals
Fri Jan  9 14:03:21 2015  commencing full merge
Fri Jan  9 14:03:29 2015  memory use: 90.9 MB
Fri Jan  9 14:03:29 2015  found 415699 cycles, need 414193
Fri Jan  9 14:03:29 2015  weight of 414193 cycles is about 29059900 (70.16/cycle)
Fri Jan  9 14:03:29 2015  distribution of cycle lengths:
Fri Jan  9 14:03:29 2015  1 relations: 50324
Fri Jan  9 14:03:29 2015  2 relations: 47870
Fri Jan  9 14:03:29 2015  3 relations: 44769
Fri Jan  9 14:03:29 2015  4 relations: 40417
Fri Jan  9 14:03:29 2015  5 relations: 35401
Fri Jan  9 14:03:29 2015  6 relations: 30357
Fri Jan  9 14:03:29 2015  7 relations: 26320
Fri Jan  9 14:03:29 2015  8 relations: 22353
Fri Jan  9 14:03:29 2015  9 relations: 18974
Fri Jan  9 14:03:29 2015  10+ relations: 97408
Fri Jan  9 14:03:29 2015  heaviest cycle: 28 relations
Fri Jan  9 14:03:29 2015  commencing cycle optimization
Fri Jan  9 14:03:29 2015  start with 2732819 relations
Fri Jan  9 14:03:32 2015  pruned 55693 relations
Fri Jan  9 14:03:32 2015  memory use: 90.5 MB
Fri Jan  9 14:03:32 2015  distribution of cycle lengths:
Fri Jan  9 14:03:32 2015  1 relations: 50324
Fri Jan  9 14:03:32 2015  2 relations: 48823
Fri Jan  9 14:03:32 2015  3 relations: 46165
Fri Jan  9 14:03:32 2015  4 relations: 41234
Fri Jan  9 14:03:32 2015  5 relations: 35973
Fri Jan  9 14:03:32 2015  6 relations: 30635
Fri Jan  9 14:03:32 2015  7 relations: 26417
Fri Jan  9 14:03:32 2015  8 relations: 22235
Fri Jan  9 14:03:32 2015  9 relations: 18880
Fri Jan  9 14:03:32 2015  10+ relations: 93507
Fri Jan  9 14:03:32 2015  heaviest cycle: 28 relations
Fri Jan  9 14:03:32 2015  RelProcTime: 61
Fri Jan  9 14:03:32 2015  
Fri Jan  9 14:03:32 2015  commencing linear algebra
Fri Jan  9 14:03:32 2015  read 414193 cycles
Fri Jan  9 14:03:33 2015  cycles contain 1521983 unique relations
Fri Jan  9 14:03:39 2015  read 1521983 relations
Fri Jan  9 14:03:40 2015  using 20 quadratic characters above 67108758
Fri Jan  9 14:03:45 2015  building initial matrix
Fri Jan  9 14:03:52 2015  memory use: 185.1 MB
Fri Jan  9 14:03:52 2015  read 414193 cycles
Fri Jan  9 14:03:52 2015  matrix is 414017 x 414193 (123.8 MB) with weight 39124601 (94.46/col)
Fri Jan  9 14:03:52 2015  sparse part has weight 27895678 (67.35/col)
Fri Jan  9 14:03:54 2015  filtering completed in 2 passes
Fri Jan  9 14:03:54 2015  matrix is 413525 x 413701 (123.8 MB) with weight 39103670 (94.52/col)
Fri Jan  9 14:03:54 2015  sparse part has weight 27890233 (67.42/col)
Fri Jan  9 14:03:54 2015  matrix starts at (0, 0)
Fri Jan  9 14:03:54 2015  matrix is 413525 x 413701 (123.8 MB) with weight 39103670 (94.52/col)
Fri Jan  9 14:03:54 2015  sparse part has weight 27890233 (67.42/col)
Fri Jan  9 14:03:54 2015  saving the first 48 matrix rows for later
Fri Jan  9 14:03:54 2015  matrix includes 64 packed rows
Fri Jan  9 14:03:54 2015  matrix is 413477 x 413701 (118.9 MB) with weight 30859720 (74.59/col)
Fri Jan  9 14:03:54 2015  sparse part has weight 27021939 (65.32/col)
Fri Jan  9 14:03:54 2015  using block size 65536 for processor cache size 8192 kB
Fri Jan  9 14:03:55 2015  commencing Lanczos iteration (8 threads)
Fri Jan  9 14:03:55 2015  memory use: 113.2 MB
Fri Jan  9 14:04:03 2015  linear algebra at 2.9%, ETA 0h 4m
Fri Jan  9 14:08:10 2015  lanczos halted after 6540 iterations (dim = 413475)
Fri Jan  9 14:08:11 2015  recovered 33 nontrivial dependencies
Fri Jan  9 14:08:11 2015  BLanczosTime: 279
Fri Jan  9 14:08:11 2015  
Fri Jan  9 14:08:11 2015  commencing square root phase
Fri Jan  9 14:08:11 2015  reading relations for dependency 1
Fri Jan  9 14:08:11 2015  read 206370 cycles
Fri Jan  9 14:08:11 2015  cycles contain 760264 unique relations
Fri Jan  9 14:08:16 2015  read 760264 relations
Fri Jan  9 14:08:17 2015  multiplying 760264 relations
Fri Jan  9 14:08:32 2015  multiply complete, coefficients have about 33.19 million bits
Fri Jan  9 14:08:32 2015  initial square root is modulo 58309
Fri Jan  9 14:08:53 2015  sqrtTime: 42
--
n: 2520535701053735340991078225867389194278265061506525861731789148879670800381247210698643568313627311886503
skew: 2069457.68
c0: -41589886959179136261454460096
c1: -26384587996449959221780
c2: -21436820816467999
c3: -11565814430
c4: 10440
Y0: -22166553437357828455867917
Y1: 15393627696469
rlim: 2640000
alim: 2640000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

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

7×10170-979

c158

name 名前Ignacio Santos
date 日付February 11, 2015 22:32:41 UTC 2015 年 2 月 12 日 (木) 7 時 32 分 41 秒 (日本時間)
composite number 合成数
73681054666856165597328460450671188053626796749278437316744777063055654190005382036531657954511784808029590351317558949516629917390672188449698476778064155257<158>
prime factors 素因数
969756576382720927984832906520751357<36>
composite cofactor 合成数の残り
75978917247143724324916347118436612695466686262450986794524726860220645283622099498091410249469665613514638823021186822701<122>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1687305229
Step 1 took 12344ms
Step 2 took 7156ms
********** Factor found in step 2: 969756576382720927984832906520751357
Found probable prime factor of 36 digits: 969756576382720927984832906520751357
Composite cofactor 75978917247143724324916347118436612695466686262450986794524726860220645283622099498091410249469665613514638823021186822701 has 122 digits
software ソフトウェア
GMP-ECM 7.0

c122

name 名前Jo Yeong Uk
date 日付April 9, 2015 22:12:01 UTC 2015 年 4 月 10 日 (金) 7 時 12 分 1 秒 (日本時間)
composite number 合成数
75978917247143724324916347118436612695466686262450986794524726860220645283622099498091410249469665613514638823021186822701<122>
prime factors 素因数
180247680626967711113421424711599189287020469243<48>
421525075844865866487432343377678726290638674429189576795932731554364566007<75>
factorization results 素因数分解の結果
Number: 77767_170
N=75978917247143724324916347118436612695466686262450986794524726860220645283622099498091410249469665613514638823021186822701
  ( 122 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=180247680626967711113421424711599189287020469243
 r2=421525075844865866487432343377678726290638674429189576795932731554364566007
Version: 
Total time: 18.99 hours.
Scaled time: 99.27 units (timescale=5.228).
Factorization parameters were as follows:
n: 75978917247143724324916347118436612695466686262450986794524726860220645283622099498091410249469665613514638823021186822701
m: 10000000000000000000000000000000000
deg: 5
c5: 7
c0: -97
skew: 1.69
# Murphy_E = 2.446e-10
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 5300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10770143
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 990709 x 990957
Total sieving time: 17.27 hours.
Total relation processing time: 0.64 hours.
Matrix solve time: 1.02 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000
total time: 18.99 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovJanuary 9, 2015 00:07:24 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 24 秒 (日本時間)
2350Ignacio SantosFebruary 12, 2015 20:01:59 UTC 2015 年 2 月 13 日 (金) 5 時 1 分 59 秒 (日本時間)
4511e60 / 3328--
5043e6160 / 7453Pierre JammesMarch 21, 2015 07:28:00 UTC 2015 年 3 月 21 日 (土) 16 時 28 分 0 秒 (日本時間)

7×10172-979

c166

name 名前Cyp
date 日付April 13, 2015 17:10:52 UTC 2015 年 4 月 14 日 (火) 2 時 10 分 52 秒 (日本時間)
composite number 合成数
6551235764281670568863455119870300506120398423697803847952556324951401529264323364505048990608990710066919001550490327240777661633726585298446692641380581220021662129<166>
prime factors 素因数
7781250417485321402686469977183159090430768801812703984318360958732134691271<76>
841925836181846393993221654138059024783865308347150375606003711148367568518302663142195399<90>
factorization results 素因数分解の結果
04/13/15 07:50:07 v1.34.3, 
04/13/15 07:50:07 v1.34.3, ****************************
04/13/15 07:50:07 v1.34.3, Starting factorization of 6551235764281670568863455119870300506120398423697803847952556324951401529264323364505048990608990710066919001550490327240777661633726585298446692641380581220021662129
04/13/15 07:50:07 v1.34.3, using pretesting plan: none
04/13/15 07:50:07 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
04/13/15 07:50:07 v1.34.3, ****************************
04/13/15 07:50:07 v1.34.3, nfs: commencing nfs on c166: 6551235764281670568863455119870300506120398423697803847952556324951401529264323364505048990608990710066919001550490327240777661633726585298446692641380581220021662129
04/13/15 07:50:07 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
04/13/15 07:50:07 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/13/15 07:54:47 v1.34.3, nfs: commencing lattice sieving with 8 threads
[106 lines snipped]
04/13/15 16:28:41 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/13/15 16:33:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/13/15 16:38:13 v1.34.3, nfs: commencing msieve filtering
04/13/15 16:39:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/13/15 16:44:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
[3 lines snipped]
04/13/15 17:03:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/13/15 17:08:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/13/15 17:13:26 v1.34.3, nfs: commencing msieve filtering
04/13/15 17:15:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/13/15 17:19:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
[3 lines snipped]
04/13/15 17:38:39 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/13/15 17:43:22 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/13/15 17:48:08 v1.34.3, nfs: commencing msieve filtering
04/13/15 17:49:53 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/13/15 17:54:40 v1.34.3, nfs: commencing lattice sieving with 8 threads
[4 lines snipped]
04/13/15 18:18:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/13/15 18:23:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/13/15 18:28:02 v1.34.3, nfs: commencing msieve filtering
04/13/15 18:30:32 v1.34.3, nfs: commencing msieve linear algebra
04/13/15 19:03:32 v1.34.3, nfs: commencing msieve sqrt
04/13/15 19:10:50 v1.34.3, prp90 = 841925836181846393993221654138059024783865308347150375606003711148367568518302663142195399
04/13/15 19:10:50 v1.34.3, prp76 = 7781250417485321402686469977183159090430768801812703984318360958732134691271
04/13/15 19:10:50 v1.34.3, NFS elapsed time = 40842.8164 seconds.
04/13/15 19:10:50 v1.34.3, 
04/13/15 19:10:50 v1.34.3, 
04/13/15 19:10:50 v1.34.3, Total factoring time = 40842.8173 seconds
--
Mon Apr 13 16:38:13 2015  
Mon Apr 13 16:38:13 2015  commencing relation filtering
Mon Apr 13 16:38:13 2015  estimated available RAM is 15987.3 MB
Mon Apr 13 16:38:13 2015  commencing duplicate removal, pass 1
Mon Apr 13 16:38:42 2015  found 1573956 hash collisions in 10103437 relations
Mon Apr 13 16:38:51 2015  added 371181 free relations
Mon Apr 13 16:38:51 2015  commencing duplicate removal, pass 2
Mon Apr 13 16:39:00 2015  found 1216084 duplicates and 9258534 unique relations
Mon Apr 13 16:39:00 2015  memory use: 41.3 MB
Mon Apr 13 16:39:00 2015  reading ideals above 100000
Mon Apr 13 16:39:00 2015  commencing singleton removal, initial pass
Mon Apr 13 16:39:45 2015  memory use: 344.5 MB
Mon Apr 13 16:39:45 2015  reading all ideals from disk
Mon Apr 13 16:39:45 2015  memory use: 343.7 MB
Mon Apr 13 16:39:45 2015  keeping 10909524 ideals with weight <= 200, target excess is 48400
Mon Apr 13 16:39:46 2015  commencing in-memory singleton removal
Mon Apr 13 16:39:46 2015  begin with 9258534 relations and 10909524 unique ideals
Mon Apr 13 16:39:52 2015  reduce to 2911537 relations and 3185723 ideals in 27 passes
Mon Apr 13 16:39:52 2015  max relations containing the same ideal: 91
Mon Apr 13 17:13:26 2015  
Mon Apr 13 17:13:26 2015  commencing relation filtering
Mon Apr 13 17:13:26 2015  estimated available RAM is 15987.3 MB
Mon Apr 13 17:13:26 2015  commencing duplicate removal, pass 1
Mon Apr 13 17:14:00 2015  found 1760100 hash collisions in 11042330 relations
Mon Apr 13 17:14:09 2015  added 1197 free relations
Mon Apr 13 17:14:09 2015  commencing duplicate removal, pass 2
Mon Apr 13 17:14:18 2015  found 1334932 duplicates and 9708595 unique relations
Mon Apr 13 17:14:18 2015  memory use: 45.3 MB
Mon Apr 13 17:14:18 2015  reading ideals above 100000
Mon Apr 13 17:14:18 2015  commencing singleton removal, initial pass
Mon Apr 13 17:15:05 2015  memory use: 344.5 MB
Mon Apr 13 17:15:05 2015  reading all ideals from disk
Mon Apr 13 17:15:05 2015  memory use: 360.7 MB
Mon Apr 13 17:15:06 2015  keeping 11090606 ideals with weight <= 200, target excess is 51048
Mon Apr 13 17:15:06 2015  commencing in-memory singleton removal
Mon Apr 13 17:15:07 2015  begin with 9708595 relations and 11090606 unique ideals
Mon Apr 13 17:15:12 2015  reduce to 3599807 relations and 3720989 ideals in 25 passes
Mon Apr 13 17:15:12 2015  max relations containing the same ideal: 101
Mon Apr 13 17:48:08 2015  
Mon Apr 13 17:48:08 2015  commencing relation filtering
Mon Apr 13 17:48:08 2015  estimated available RAM is 15987.3 MB
Mon Apr 13 17:48:08 2015  commencing duplicate removal, pass 1
Mon Apr 13 17:48:44 2015  found 1908682 hash collisions in 11599455 relations
Mon Apr 13 17:48:52 2015  added 1002 free relations
Mon Apr 13 17:48:52 2015  commencing duplicate removal, pass 2
Mon Apr 13 17:49:02 2015  found 1454916 duplicates and 10145541 unique relations
Mon Apr 13 17:49:02 2015  memory use: 74.6 MB
Mon Apr 13 17:49:02 2015  reading ideals above 720000
Mon Apr 13 17:49:02 2015  commencing singleton removal, initial pass
Mon Apr 13 17:49:47 2015  memory use: 344.5 MB
Mon Apr 13 17:49:47 2015  reading all ideals from disk
Mon Apr 13 17:49:47 2015  memory use: 303.9 MB
Mon Apr 13 17:49:48 2015  commencing in-memory singleton removal
Mon Apr 13 17:49:48 2015  begin with 10145541 relations and 11192503 unique ideals
Mon Apr 13 17:49:53 2015  reduce to 4236877 relations and 4123396 ideals in 21 passes
Mon Apr 13 17:49:53 2015  max relations containing the same ideal: 72
Mon Apr 13 18:28:02 2015  
Mon Apr 13 18:28:02 2015  commencing relation filtering
Mon Apr 13 18:28:02 2015  estimated available RAM is 15987.3 MB
Mon Apr 13 18:28:02 2015  commencing duplicate removal, pass 1
Mon Apr 13 18:28:42 2015  found 2081425 hash collisions in 12229294 relations
Mon Apr 13 18:28:51 2015  added 1053 free relations
Mon Apr 13 18:28:51 2015  commencing duplicate removal, pass 2
Mon Apr 13 18:29:02 2015  found 1594449 duplicates and 10635898 unique relations
Mon Apr 13 18:29:02 2015  memory use: 74.6 MB
Mon Apr 13 18:29:02 2015  reading ideals above 720000
Mon Apr 13 18:29:02 2015  commencing singleton removal, initial pass
Mon Apr 13 18:29:50 2015  memory use: 344.5 MB
Mon Apr 13 18:29:50 2015  reading all ideals from disk
Mon Apr 13 18:29:50 2015  memory use: 318.7 MB
Mon Apr 13 18:29:50 2015  commencing in-memory singleton removal
Mon Apr 13 18:29:51 2015  begin with 10635898 relations and 11369800 unique ideals
Mon Apr 13 18:29:55 2015  reduce to 4928154 relations and 4601324 ideals in 17 passes
Mon Apr 13 18:29:55 2015  max relations containing the same ideal: 80
Mon Apr 13 18:29:56 2015  removing 696462 relations and 600145 ideals in 96317 cliques
Mon Apr 13 18:29:56 2015  commencing in-memory singleton removal
Mon Apr 13 18:29:56 2015  begin with 4231692 relations and 4601324 unique ideals
Mon Apr 13 18:29:58 2015  reduce to 4146377 relations and 3913640 ideals in 10 passes
Mon Apr 13 18:29:58 2015  max relations containing the same ideal: 69
Mon Apr 13 18:29:59 2015  removing 532365 relations and 436048 ideals in 96317 cliques
Mon Apr 13 18:29:59 2015  commencing in-memory singleton removal
Mon Apr 13 18:29:59 2015  begin with 3614012 relations and 3913640 unique ideals
Mon Apr 13 18:30:01 2015  reduce to 3555634 relations and 3417913 ideals in 9 passes
Mon Apr 13 18:30:01 2015  max relations containing the same ideal: 62
Mon Apr 13 18:30:02 2015  relations with 0 large ideals: 2820
Mon Apr 13 18:30:02 2015  relations with 1 large ideals: 1803
Mon Apr 13 18:30:02 2015  relations with 2 large ideals: 26759
Mon Apr 13 18:30:02 2015  relations with 3 large ideals: 161698
Mon Apr 13 18:30:02 2015  relations with 4 large ideals: 515577
Mon Apr 13 18:30:02 2015  relations with 5 large ideals: 936523
Mon Apr 13 18:30:02 2015  relations with 6 large ideals: 1026328
Mon Apr 13 18:30:02 2015  relations with 7+ large ideals: 884126
Mon Apr 13 18:30:02 2015  commencing 2-way merge
Mon Apr 13 18:30:03 2015  reduce to 2158313 relation sets and 2020592 unique ideals
Mon Apr 13 18:30:03 2015  commencing full merge
Mon Apr 13 18:30:24 2015  memory use: 245.9 MB
Mon Apr 13 18:30:24 2015  found 1091087 cycles, need 1070792
Mon Apr 13 18:30:24 2015  weight of 1070792 cycles is about 75221022 (70.25/cycle)
Mon Apr 13 18:30:24 2015  distribution of cycle lengths:
Mon Apr 13 18:30:24 2015  1 relations: 130487
Mon Apr 13 18:30:24 2015  2 relations: 123357
Mon Apr 13 18:30:24 2015  3 relations: 121185
Mon Apr 13 18:30:24 2015  4 relations: 109623
Mon Apr 13 18:30:24 2015  5 relations: 99653
Mon Apr 13 18:30:24 2015  6 relations: 86757
Mon Apr 13 18:30:24 2015  7 relations: 74340
Mon Apr 13 18:30:24 2015  8 relations: 65088
Mon Apr 13 18:30:24 2015  9 relations: 55206
Mon Apr 13 18:30:24 2015  10+ relations: 205096
Mon Apr 13 18:30:24 2015  heaviest cycle: 21 relations
Mon Apr 13 18:30:25 2015  commencing cycle optimization
Mon Apr 13 18:30:26 2015  start with 6318365 relations
Mon Apr 13 18:30:31 2015  pruned 162629 relations
Mon Apr 13 18:30:31 2015  memory use: 206.3 MB
Mon Apr 13 18:30:31 2015  distribution of cycle lengths:
Mon Apr 13 18:30:31 2015  1 relations: 130487
Mon Apr 13 18:30:31 2015  2 relations: 126181
Mon Apr 13 18:30:31 2015  3 relations: 125564
Mon Apr 13 18:30:31 2015  4 relations: 112371
Mon Apr 13 18:30:31 2015  5 relations: 102299
Mon Apr 13 18:30:31 2015  6 relations: 87919
Mon Apr 13 18:30:31 2015  7 relations: 75560
Mon Apr 13 18:30:31 2015  8 relations: 64910
Mon Apr 13 18:30:31 2015  9 relations: 54985
Mon Apr 13 18:30:31 2015  10+ relations: 190516
Mon Apr 13 18:30:31 2015  heaviest cycle: 21 relations
Mon Apr 13 18:30:32 2015  RelProcTime: 150
Mon Apr 13 18:30:32 2015  
Mon Apr 13 18:30:32 2015  commencing linear algebra
Mon Apr 13 18:30:32 2015  read 1070792 cycles
Mon Apr 13 18:30:33 2015  cycles contain 3419482 unique relations
Mon Apr 13 18:30:50 2015  read 3419482 relations
Mon Apr 13 18:30:53 2015  using 20 quadratic characters above 134217530
Mon Apr 13 18:31:03 2015  building initial matrix
Mon Apr 13 18:31:21 2015  memory use: 411.2 MB
Mon Apr 13 18:31:22 2015  read 1070792 cycles
Mon Apr 13 18:31:22 2015  matrix is 1070610 x 1070792 (320.8 MB) with weight 93719843 (87.52/col)
Mon Apr 13 18:31:22 2015  sparse part has weight 72311601 (67.53/col)
Mon Apr 13 18:31:27 2015  filtering completed in 2 passes
Mon Apr 13 18:31:27 2015  matrix is 1069130 x 1069312 (320.6 MB) with weight 93668370 (87.60/col)
Mon Apr 13 18:31:27 2015  sparse part has weight 72290110 (67.60/col)
Mon Apr 13 18:31:30 2015  matrix starts at (0, 0)
Mon Apr 13 18:31:30 2015  matrix is 1069130 x 1069312 (320.6 MB) with weight 93668370 (87.60/col)
Mon Apr 13 18:31:30 2015  sparse part has weight 72290110 (67.60/col)
Mon Apr 13 18:31:30 2015  saving the first 48 matrix rows for later
Mon Apr 13 18:31:30 2015  matrix includes 64 packed rows
Mon Apr 13 18:31:30 2015  matrix is 1069082 x 1069312 (303.3 MB) with weight 74803754 (69.96/col)
Mon Apr 13 18:31:30 2015  sparse part has weight 68825737 (64.36/col)
Mon Apr 13 18:31:30 2015  using block size 65536 for processor cache size 8192 kB
Mon Apr 13 18:31:32 2015  commencing Lanczos iteration (8 threads)
Mon Apr 13 18:31:32 2015  memory use: 297.6 MB
Mon Apr 13 18:31:35 2015  linear algebra at 0.1%, ETA 0h35m
Mon Apr 13 18:31:36 2015  checkpointing every 1820000 dimensions
Mon Apr 13 19:03:31 2015  lanczos halted after 16910 iterations (dim = 1069078)
Mon Apr 13 19:03:32 2015  recovered 36 nontrivial dependencies
Mon Apr 13 19:03:32 2015  BLanczosTime: 1980
Mon Apr 13 19:03:32 2015  
Mon Apr 13 19:03:32 2015  commencing square root phase
Mon Apr 13 19:03:32 2015  reading relations for dependency 1
Mon Apr 13 19:03:32 2015  read 533266 cycles
Mon Apr 13 19:03:32 2015  cycles contain 1706596 unique relations
Mon Apr 13 19:03:44 2015  read 1706596 relations
Mon Apr 13 19:03:48 2015  multiplying 1706596 relations
Mon Apr 13 19:04:30 2015  multiply complete, coefficients have about 53.20 million bits
Mon Apr 13 19:04:30 2015  initial square root is modulo 43472951
Mon Apr 13 19:05:23 2015  Newton iteration failed to converge
Mon Apr 13 19:05:23 2015  algebraic square root failed
Mon Apr 13 19:05:23 2015  reading relations for dependency 2
Mon Apr 13 19:05:23 2015  read 534509 cycles
Mon Apr 13 19:05:24 2015  cycles contain 1708494 unique relations
Mon Apr 13 19:05:36 2015  read 1708494 relations
Mon Apr 13 19:05:40 2015  multiplying 1708494 relations
Mon Apr 13 19:06:21 2015  multiply complete, coefficients have about 53.26 million bits
Mon Apr 13 19:06:21 2015  initial square root is modulo 44255021
Mon Apr 13 19:07:12 2015  GCD is N, no factor found
Mon Apr 13 19:07:12 2015  reading relations for dependency 3
Mon Apr 13 19:07:12 2015  read 535304 cycles
Mon Apr 13 19:07:13 2015  cycles contain 1711898 unique relations
Mon Apr 13 19:07:26 2015  read 1711898 relations
Mon Apr 13 19:07:30 2015  multiplying 1711898 relations
Mon Apr 13 19:08:11 2015  multiply complete, coefficients have about 53.36 million bits
Mon Apr 13 19:08:11 2015  initial square root is modulo 45847201
Mon Apr 13 19:09:02 2015  GCD is N, no factor found
Mon Apr 13 19:09:02 2015  reading relations for dependency 4
Mon Apr 13 19:09:02 2015  read 534355 cycles
Mon Apr 13 19:09:02 2015  cycles contain 1707638 unique relations
Mon Apr 13 19:09:16 2015  read 1707638 relations
Mon Apr 13 19:09:20 2015  multiplying 1707638 relations
Mon Apr 13 19:09:59 2015  multiply complete, coefficients have about 53.23 million bits
Mon Apr 13 19:09:59 2015  initial square root is modulo 43895881
Mon Apr 13 19:10:50 2015  sqrtTime: 438
--
n: 6551235764281670568863455119870300506120398423697803847952556324951401529264323364505048990608990710066919001550490327240777661633726585298446692641380581220021662129
m: 10000000000000000000000000000000000
deg: 5
c5: 700
c0: -97
skew: 0.67
# Murphy_E = 1.287e-10
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovJanuary 9, 2015 00:07:25 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 25 秒 (日本時間)
2350Ignacio SantosFebruary 28, 2015 19:10:37 UTC 2015 年 3 月 1 日 (日) 4 時 10 分 37 秒 (日本時間)

7×10174-979

c152

name 名前Jo Yeong Uk
date 日付May 10, 2015 06:07:25 UTC 2015 年 5 月 10 日 (日) 15 時 7 分 25 秒 (日本時間)
composite number 合成数
11479453654293488390800318821013955615817611133747973520716462927974588711216882125954743242785019004004670936332427623299657899737586817365677865765941<152>
prime factors 素因数
978046817974260998057370300065498118000417833033770120457<57>
11737120803756441612357543948137257943198757481030114323427822290948888910473985764641940600013<95>
factorization results 素因数分解の結果
Number: 77767_174
N=11479453654293488390800318821013955615817611133747973520716462927974588711216882125954743242785019004004670936332427623299657899737586817365677865765941
  ( 152 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=978046817974260998057370300065498118000417833033770120457
 r2=11737120803756441612357543948137257943198757481030114323427822290948888910473985764641940600013
Version: 
Total time: 39.88 hours.
Scaled time: 209.47 units (timescale=5.253).
Factorization parameters were as follows:
n: 11479453654293488390800318821013955615817611133747973520716462927974588711216882125954743242785019004004670936332427623299657899737586817365677865765941
m: 100000000000000000000000000000000000
deg: 5
c5: 7
c0: -970
skew: 2.68
# Murphy_E = 1.133e-10
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
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: 52/52
Sieved rational special-q in [3700000, 8300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 16648301
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1291439 x 1291687
Total sieving time: 36.05 hours.
Total relation processing time: 1.86 hours.
Matrix solve time: 1.89 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,52,52,2.5,2.5,100000
total time: 39.88 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovJanuary 9, 2015 00:07:25 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 25 秒 (日本時間)
2350Ignacio SantosMarch 29, 2015 08:59:35 UTC 2015 年 3 月 29 日 (日) 17 時 59 分 35 秒 (日本時間)

7×10177-979

c166

name 名前Jo Yeong Uk
date 日付June 22, 2015 11:20:02 UTC 2015 年 6 月 22 日 (月) 20 時 20 分 2 秒 (日本時間)
composite number 合成数
7933694336896180237593668094270805071801631553831602406439126842698911213325270345755927774166502752112964874236983084569945020639144556663782320532808719568826773183<166>
prime factors 素因数
54838129272019093274423282131031771374595597<44>
4359799841705117041635517621015742456951713407206557<52>
33183812593175639753189918417896242055906057450903449853581775618987127<71>
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 7933694336896180237593668094270805071801631553831602406439126842698911213325270345755927774166502752112964874236983084569945020639144556663782320532808719568826773183 (166 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3703713815
Step 1 took 29651ms
Step 2 took 10024ms
********** Factor found in step 2: 54838129272019093274423282131031771374595597
Found probable prime factor of 44 digits: 54838129272019093274423282131031771374595597
Composite cofactor 144674780890899423646918127092645471408037218899232950345022826791472885430996793976112770922840871330225975352842812991739 has 123 digits

Number: 77767_177
N=144674780890899423646918127092645471408037218899232950345022826791472885430996793976112770922840871330225975352842812991739
  ( 123 digits)
Divisors found:
 r1=4359799841705117041635517621015742456951713407206557
 r2=33183812593175639753189918417896242055906057450903449853581775618987127
Version: 
Total time: 23.58 hours.
Scaled time: 122.71 units (timescale=5.204).
Factorization parameters were as follows:
name: 77767_177
n: 144674780890899423646918127092645471408037218899232950345022826791472885430996793976112770922840871330225975352842812991739
skew: 143373.03
# norm 1.48e+17
c5: 87420
c4: 11887577743
c3: -5276072667601960
c2: -178800237349678187658
c1: 57474474375187978621225452
c0: 315425613772094038347021780240
# alpha -6.76
Y1: 43019048122447
Y0: -277814287782632633337311
# Murphy_E 2.06e-10
# M 119771140306270261050644705794437615383609124167178570757505613720937963456032865060231903454031227223077439110911901147494
type: gnfs
rlim: 5600000
alim: 5600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved algebraic special-q in [2800000, 5000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17130667
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 890661 x 890909
Polynomial selection time: 3.95 hours.
Total sieving time: 17.67 hours.
Total relation processing time: 0.92 hours.
Matrix solve time: 0.78 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
gnfs,122,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5600000,5600000,28,28,54,54,2.5,2.5,100000
total time: 23.58 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.89 BogoMIPS (lpj=3399945)
Total of 12 processors activated (81598.68 BogoMIPS).
software ソフトウェア
GMP-ECM v6.4.4 / GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:07:26 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 26 秒 (日本時間)
1CypJanuary 9, 2015 00:54:15 UTC 2015 年 1 月 9 日 (金) 9 時 54 分 15 秒 (日本時間)
4511e6585 / 4409CypJanuary 23, 2015 17:48:43 UTC 2015 年 1 月 24 日 (土) 2 時 48 分 43 秒 (日本時間)

7×10178-979

c175

name 名前Serge Batalov
date 日付January 9, 2015 03:53:46 UTC 2015 年 1 月 9 日 (金) 12 時 53 分 46 秒 (日本時間)
composite number 合成数
2443536845044856354941180577372848814884630153244667853527419974168324780954375676336091039201312528362481237127796976995845987363423744196599993018466157014696128739484064649<175>
prime factors 素因数
2229389087582715071053716515731<31>
composite cofactor 合成数の残り
1096056699413711446710521063205191085466052283323965888300450316424335095383463791408310791620246366266064772160324570335629787673773489233044979<145>
factorization results 素因数分解の結果
Input number is 2443536845044856354941180577372848814884630153244667853527419974168324780954375676336091039201312528362481237127796976995845987363423744196599993018466157014696128739484064649 (175 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1705322323
Step 1 took 15296ms
Step 2 took 11307ms
********** Factor found in step 2: 2229389087582715071053716515731
Found probable prime factor of 31 digits: 2229389087582715071053716515731
Composite cofactor 1096056699413711446710521063205191085466052283323965888300450316424335095383463791408310791620246366266064772160324570335629787673773489233044979 has 145 digits

c145

name 名前KTakahashi
date 日付April 30, 2015 08:56:25 UTC 2015 年 4 月 30 日 (木) 17 時 56 分 25 秒 (日本時間)
composite number 合成数
1096056699413711446710521063205191085466052283323965888300450316424335095383463791408310791620246366266064772160324570335629787673773489233044979<145>
prime factors 素因数
62978006002641494890663345783528035725189<41>
composite cofactor 合成数の残り
17403801247180474317303305462125635232351040350686023714212113899306256076915084340839670486348373241111<104>
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 1096056699413711446710521063205191085466052283323965888300450316424335095383463791408310791620246366266064772160324570335629787673773489233044979 (145 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3258897744
Step 1 took 41965ms
Step 2 took 17487ms
********** Factor found in step 2: 62978006002641494890663345783528035725189
Found probable prime factor of 41 digits: 62978006002641494890663345783528035725189
Composite cofactor 17403801247180474317303305462125635232351040350686023714212113899306256076915084340839670486348373241111 has 104 digits

c104

name 名前KTakahashi
date 日付April 30, 2015 19:25:52 UTC 2015 年 5 月 1 日 (金) 4 時 25 分 52 秒 (日本時間)
composite number 合成数
17403801247180474317303305462125635232351040350686023714212113899306256076915084340839670486348373241111<104>
prime factors 素因数
4164445887074002303680578668341517246297<40>
4179139726896205999400938266066944150823437381990018468045345263<64>
factorization results 素因数分解の結果
Number: 77767_178
N=17403801247180474317303305462125635232351040350686023714212113899306256076915084340839670486348373241111
  ( 104 digits)
Divisors found:
 r1=4164445887074002303680578668341517246297 (pp40)
 r2=4179139726896205999400938266066944150823437381990018468045345263 (pp64)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 10.30 hours.
Scaled time: 17.56 units (timescale=1.705).
Factorization parameters were as follows:
name: 77767_178
n: 17403801247180474317303305462125635232351040350686023714212113899306256076915084340839670486348373241111
skew: 8346.94
# norm 7.88e+013
c5: 50820
c4: -640699496
c3: -10384637551750
c2: 41811151290133793
c1: 321470070344203542404
c0: -534047498860628941092800
# alpha -5.09
Y1: 82205068469
Y0: -50924134745661793193
# Murphy_E 2.19e-009
# M 11498716733323849706086289665698025700403165652585411405725426887606329459738042848009780299393952949
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 256729 x 256956
Polynomial selection time: 0.65 hours.
Total sieving time: 9.33 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.22 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 10.30 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:26 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 26 秒 (日本時間)
4511e6600 / 4409KTakahashiApril 30, 2015 08:55:36 UTC 2015 年 4 月 30 日 (木) 17 時 55 分 36 秒 (日本時間)

7×10179-979

c135

name 名前Serge Batalov
date 日付January 8, 2015 23:40:55 UTC 2015 年 1 月 9 日 (金) 8 時 40 分 55 秒 (日本時間)
composite number 合成数
184400751902152406030521008098527668120253250884026393728249592291299489302745958954300797198071599431862621679280332219110828226465931<135>
prime factors 素因数
269779193522139665659285624162301<33>
683524735524199707847979741563100959176725618936407345464248904823582962196660991157694650332275854631<102>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3905599722
Step 1 took 7968ms
Step 2 took 7736ms
********** Factor found in step 2: 269779193522139665659285624162301
Found probable prime factor of 33 digits: 269779193522139665659285624162301
Probable prime cofactor 

ECM

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

7×10180-979

c168

name 名前Serge Batalov
date 日付January 9, 2015 03:53:50 UTC 2015 年 1 月 9 日 (金) 12 時 53 分 50 秒 (日本時間)
composite number 合成数
405284861627132833573701542016917580760598455902393484609191543187955767380203729146058909459577290890319503950548036741521215074255629365266766077769552966751214316751<168>
prime factors 素因数
341889087708511151555405846863843<33>
1185427895179479509020384670780053963526504306150592027973194074259542565173606621157400138976309635277312067988594862847647476771633957<136>
factorization results 素因数分解の結果
Input number is 405284861627132833573701542016917580760598455902393484609191543187955767380203729146058909459577290890319503950548036741521215074255629365266766077769552966751214316751 (168 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1934145916
Step 1 took 11668ms
Step 2 took 10140ms
********** Factor found in step 2: 341889087708511151555405846863843
Found probable prime factor of 33 digits: 341889087708511151555405846863843
Probable prime cofactor 1185427895179479509020384670780053963526504306150592027973194074259542565173606621157400138976309635277312067988594862847647476771633957 has 136 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:07:28 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 28 秒 (日本時間)

7×10181-979

c143

name 名前Cyp
date 日付January 25, 2015 00:59:10 UTC 2015 年 1 月 25 日 (日) 9 時 59 分 10 秒 (日本時間)
composite number 合成数
39065516515018708700361263005846264484679371858654917564757006072516682962370106986047425906341746211512551600566867650538317546159712481303577<143>
prime factors 素因数
10188223510604315314647423336716543069<38>
3834379612339456260952472898590817155508427909561816119527093736549221945706454835389758908590632687786733<106>
factorization results 素因数分解の結果
Run 295 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=630210325
Step 1 took 41704ms
Step 2 took 14726ms
********** Factor found in step 2: 10188223510604315314647423336716543069
Found probable prime factor of 38 digits: 10188223510604315314647423336716543069
Probable prime cofactor 3834379612339456260952472898590817155508427909561816119527093736549221945706454835389758908590632687786733 has 106 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301 / 1300300Serge BatalovJanuary 9, 2015 00:07:28 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 28 秒 (日本時間)
1CypJanuary 9, 2015 00:47:01 UTC 2015 年 1 月 9 日 (金) 9 時 47 分 1 秒 (日本時間)
4511e6295 / 4409CypJanuary 25, 2015 00:59:09 UTC 2015 年 1 月 25 日 (日) 9 時 59 分 9 秒 (日本時間)

7×10182-979

c146

name 名前Serge Batalov
date 日付January 9, 2015 03:53:54 UTC 2015 年 1 月 9 日 (金) 12 時 53 分 54 秒 (日本時間)
composite number 合成数
15169815555950448926685800410756116262193963393982794077537974708036606204134739412676083518754630387962084834382524595272199861652036225574122803<146>
prime factors 素因数
22071834812803371053064857626183<32>
composite cofactor 合成数の残り
687292909022261384012055050698588101346592309126370302780353740757137181826822218117091841300335865419283470857141<114>
factorization results 素因数分解の結果
Input number is 15169815555950448926685800410756116262193963393982794077537974708036606204134739412676083518754630387962084834382524595272199861652036225574122803 (146 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4035103794
Step 1 took 9976ms
Step 2 took 8793ms
********** Factor found in step 2: 22071834812803371053064857626183
Found probable prime factor of 32 digits: 22071834812803371053064857626183
Composite cofactor 687292909022261384012055050698588101346592309126370302780353740757137181826822218117091841300335865419283470857141 has 114 digits

c114

name 名前Cyp
date 日付January 11, 2015 07:41:09 UTC 2015 年 1 月 11 日 (日) 16 時 41 分 9 秒 (日本時間)
composite number 合成数
687292909022261384012055050698588101346592309126370302780353740757137181826822218117091841300335865419283470857141<114>
prime factors 素因数
7949221445871244901515489747114472133551098159044449<52>
86460405424890411592082284554761655165440752262092286007197909<62>
factorization results 素因数分解の結果
01/11/15 05:57:11 v1.34.3, 
01/11/15 05:57:11 v1.34.3, ****************************
01/11/15 05:57:11 v1.34.3, Starting factorization of 687292909022261384012055050698588101346592309126370302780353740757137181826822218117091841300335865419283470857141
01/11/15 05:57:11 v1.34.3, using pretesting plan: none
01/11/15 05:57:11 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/11/15 05:57:11 v1.34.3, ****************************
01/11/15 05:57:11 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C114
01/11/15 05:57:11 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C114
01/11/15 05:57:11 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C114
01/11/15 05:57:11 v1.34.3, final ECM pretested depth: 0.00
01/11/15 05:57:11 v1.34.3, scheduler: switching to sieve method
01/11/15 05:57:11 v1.34.3, nfs: commencing nfs on c114: 687292909022261384012055050698588101346592309126370302780353740757137181826822218117091841300335865419283470857141
01/11/15 05:57:11 v1.34.3, nfs: commencing poly selection with 8 threads
01/11/15 05:57:11 v1.34.3, nfs: setting deadline of 800 seconds
01/11/15 06:10:42 v1.34.3, nfs: completed 143 ranges of size 250 in 810.7881 seconds
01/11/15 06:10:42 v1.34.3, nfs: best poly = # norm 7.308105e-11 alpha -6.464145 e 5.873e-10 rroots 5
01/11/15 06:10:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/11/15 06:16:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
[21 lines snipped]
01/11/15 08:18:39 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/11/15 08:24:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/11/15 08:29:56 v1.34.3, nfs: commencing msieve filtering
01/11/15 08:31:49 v1.34.3, nfs: commencing msieve linear algebra
01/11/15 08:37:50 v1.34.3, nfs: commencing msieve sqrt
01/11/15 08:41:08 v1.34.3, prp52 = 7949221445871244901515489747114472133551098159044449
01/11/15 08:41:08 v1.34.3, prp62 = 86460405424890411592082284554761655165440752262092286007197909
01/11/15 08:41:08 v1.34.3, NFS elapsed time = 9836.9574 seconds.
01/11/15 08:41:08 v1.34.3, 
01/11/15 08:41:08 v1.34.3, 
01/11/15 08:41:08 v1.34.3, Total factoring time = 9836.9805 seconds
--
Sun Jan 11 08:29:56 2015  
Sun Jan 11 08:29:56 2015  commencing relation filtering
Sun Jan 11 08:29:56 2015  estimated available RAM is 15987.3 MB
Sun Jan 11 08:29:56 2015  commencing duplicate removal, pass 1
Sun Jan 11 08:30:30 2015  found 1076029 hash collisions in 10434611 relations
Sun Jan 11 08:30:40 2015  added 62810 free relations
Sun Jan 11 08:30:40 2015  commencing duplicate removal, pass 2
Sun Jan 11 08:30:48 2015  found 471919 duplicates and 10025502 unique relations
Sun Jan 11 08:30:48 2015  memory use: 41.3 MB
Sun Jan 11 08:30:48 2015  reading ideals above 720000
Sun Jan 11 08:30:48 2015  commencing singleton removal, initial pass
Sun Jan 11 08:31:29 2015  memory use: 344.5 MB
Sun Jan 11 08:31:29 2015  reading all ideals from disk
Sun Jan 11 08:31:30 2015  memory use: 275.7 MB
Sun Jan 11 08:31:30 2015  keeping 10627883 ideals with weight <= 200, target excess is 120767
Sun Jan 11 08:31:30 2015  commencing in-memory singleton removal
Sun Jan 11 08:31:31 2015  begin with 10025502 relations and 10627883 unique ideals
Sun Jan 11 08:31:34 2015  reduce to 3958152 relations and 3475123 ideals in 18 passes
Sun Jan 11 08:31:34 2015  max relations containing the same ideal: 108
Sun Jan 11 08:31:35 2015  removing 967282 relations and 795812 ideals in 171470 cliques
Sun Jan 11 08:31:35 2015  commencing in-memory singleton removal
Sun Jan 11 08:31:35 2015  begin with 2990870 relations and 3475123 unique ideals
Sun Jan 11 08:31:36 2015  reduce to 2797107 relations and 2474108 ideals in 11 passes
Sun Jan 11 08:31:36 2015  max relations containing the same ideal: 80
Sun Jan 11 08:31:37 2015  removing 736149 relations and 564679 ideals in 171470 cliques
Sun Jan 11 08:31:37 2015  commencing in-memory singleton removal
Sun Jan 11 08:31:37 2015  begin with 2060958 relations and 2474108 unique ideals
Sun Jan 11 08:31:37 2015  reduce to 1897477 relations and 1735297 ideals in 12 passes
Sun Jan 11 08:31:37 2015  max relations containing the same ideal: 64
Sun Jan 11 08:31:38 2015  removing 152506 relations and 130416 ideals in 22090 cliques
Sun Jan 11 08:31:38 2015  commencing in-memory singleton removal
Sun Jan 11 08:31:38 2015  begin with 1744971 relations and 1735297 unique ideals
Sun Jan 11 08:31:38 2015  reduce to 1736438 relations and 1596244 ideals in 7 passes
Sun Jan 11 08:31:38 2015  max relations containing the same ideal: 60
Sun Jan 11 08:31:39 2015  relations with 0 large ideals: 983
Sun Jan 11 08:31:39 2015  relations with 1 large ideals: 9929
Sun Jan 11 08:31:39 2015  relations with 2 large ideals: 74219
Sun Jan 11 08:31:39 2015  relations with 3 large ideals: 261069
Sun Jan 11 08:31:39 2015  relations with 4 large ideals: 490264
Sun Jan 11 08:31:39 2015  relations with 5 large ideals: 500278
Sun Jan 11 08:31:39 2015  relations with 6 large ideals: 288631
Sun Jan 11 08:31:39 2015  relations with 7+ large ideals: 111065
Sun Jan 11 08:31:39 2015  commencing 2-way merge
Sun Jan 11 08:31:39 2015  reduce to 982374 relation sets and 842180 unique ideals
Sun Jan 11 08:31:39 2015  commencing full merge
Sun Jan 11 08:31:45 2015  memory use: 88.6 MB
Sun Jan 11 08:31:45 2015  found 487212 cycles, need 468380
Sun Jan 11 08:31:45 2015  weight of 468380 cycles is about 32978510 (70.41/cycle)
Sun Jan 11 08:31:45 2015  distribution of cycle lengths:
Sun Jan 11 08:31:45 2015  1 relations: 49957
Sun Jan 11 08:31:45 2015  2 relations: 46239
Sun Jan 11 08:31:45 2015  3 relations: 49428
Sun Jan 11 08:31:45 2015  4 relations: 46720
Sun Jan 11 08:31:45 2015  5 relations: 43413
Sun Jan 11 08:31:45 2015  6 relations: 40194
Sun Jan 11 08:31:45 2015  7 relations: 35832
Sun Jan 11 08:31:45 2015  8 relations: 31989
Sun Jan 11 08:31:45 2015  9 relations: 27587
Sun Jan 11 08:31:45 2015  10+ relations: 97021
Sun Jan 11 08:31:45 2015  heaviest cycle: 19 relations
Sun Jan 11 08:31:46 2015  commencing cycle optimization
Sun Jan 11 08:31:46 2015  start with 2869422 relations
Sun Jan 11 08:31:48 2015  pruned 65293 relations
Sun Jan 11 08:31:48 2015  memory use: 96.7 MB
Sun Jan 11 08:31:48 2015  distribution of cycle lengths:
Sun Jan 11 08:31:48 2015  1 relations: 49957
Sun Jan 11 08:31:48 2015  2 relations: 47294
Sun Jan 11 08:31:48 2015  3 relations: 51011
Sun Jan 11 08:31:48 2015  4 relations: 47809
Sun Jan 11 08:31:48 2015  5 relations: 44596
Sun Jan 11 08:31:48 2015  6 relations: 40983
Sun Jan 11 08:31:48 2015  7 relations: 36540
Sun Jan 11 08:31:48 2015  8 relations: 32119
Sun Jan 11 08:31:48 2015  9 relations: 27735
Sun Jan 11 08:31:48 2015  10+ relations: 90336
Sun Jan 11 08:31:48 2015  heaviest cycle: 19 relations
Sun Jan 11 08:31:49 2015  RelProcTime: 113
Sun Jan 11 08:31:49 2015  
Sun Jan 11 08:31:49 2015  commencing linear algebra
Sun Jan 11 08:31:49 2015  read 468380 cycles
Sun Jan 11 08:31:49 2015  cycles contain 1625582 unique relations
Sun Jan 11 08:32:00 2015  read 1625582 relations
Sun Jan 11 08:32:01 2015  using 20 quadratic characters above 134216940
Sun Jan 11 08:32:06 2015  building initial matrix
Sun Jan 11 08:32:14 2015  memory use: 203.1 MB
Sun Jan 11 08:32:14 2015  read 468380 cycles
Sun Jan 11 08:32:14 2015  matrix is 468223 x 468380 (142.7 MB) with weight 44854628 (95.77/col)
Sun Jan 11 08:32:14 2015  sparse part has weight 31781089 (67.85/col)
Sun Jan 11 08:32:16 2015  filtering completed in 2 passes
Sun Jan 11 08:32:16 2015  matrix is 467040 x 467215 (142.5 MB) with weight 44800844 (95.89/col)
Sun Jan 11 08:32:16 2015  sparse part has weight 31759938 (67.98/col)
Sun Jan 11 08:32:17 2015  matrix starts at (0, 0)
Sun Jan 11 08:32:17 2015  matrix is 467040 x 467215 (142.5 MB) with weight 44800844 (95.89/col)
Sun Jan 11 08:32:17 2015  sparse part has weight 31759938 (67.98/col)
Sun Jan 11 08:32:17 2015  saving the first 48 matrix rows for later
Sun Jan 11 08:32:17 2015  matrix includes 64 packed rows
Sun Jan 11 08:32:17 2015  matrix is 466992 x 467215 (136.6 MB) with weight 35725762 (76.47/col)
Sun Jan 11 08:32:17 2015  sparse part has weight 31147810 (66.67/col)
Sun Jan 11 08:32:17 2015  using block size 65536 for processor cache size 8192 kB
Sun Jan 11 08:32:19 2015  commencing Lanczos iteration (8 threads)
Sun Jan 11 08:32:19 2015  memory use: 129.4 MB
Sun Jan 11 08:32:27 2015  linear algebra at 2.6%, ETA 0h 5m
Sun Jan 11 08:37:50 2015  lanczos halted after 7386 iterations (dim = 466990)
Sun Jan 11 08:37:50 2015  recovered 29 nontrivial dependencies
Sun Jan 11 08:37:50 2015  BLanczosTime: 361
Sun Jan 11 08:37:50 2015  
Sun Jan 11 08:37:50 2015  commencing square root phase
Sun Jan 11 08:37:50 2015  reading relations for dependency 1
Sun Jan 11 08:37:50 2015  read 232791 cycles
Sun Jan 11 08:37:50 2015  cycles contain 809862 unique relations
Sun Jan 11 08:37:59 2015  read 809862 relations
Sun Jan 11 08:38:01 2015  multiplying 809862 relations
Sun Jan 11 08:38:24 2015  multiply complete, coefficients have about 34.53 million bits
Sun Jan 11 08:38:24 2015  initial square root is modulo 90997
Sun Jan 11 08:38:55 2015  GCD is N, no factor found
Sun Jan 11 08:38:55 2015  reading relations for dependency 2
Sun Jan 11 08:38:55 2015  read 233452 cycles
Sun Jan 11 08:38:55 2015  cycles contain 813382 unique relations
Sun Jan 11 08:39:04 2015  read 813382 relations
Sun Jan 11 08:39:06 2015  multiplying 813382 relations
Sun Jan 11 08:39:30 2015  multiply complete, coefficients have about 34.68 million bits
Sun Jan 11 08:39:30 2015  initial square root is modulo 95419
Sun Jan 11 08:40:02 2015  GCD is 1, no factor found
Sun Jan 11 08:40:02 2015  reading relations for dependency 3
Sun Jan 11 08:40:02 2015  read 233684 cycles
Sun Jan 11 08:40:02 2015  cycles contain 812268 unique relations
Sun Jan 11 08:40:11 2015  read 812268 relations
Sun Jan 11 08:40:12 2015  multiplying 812268 relations
Sun Jan 11 08:40:36 2015  multiply complete, coefficients have about 34.63 million bits
Sun Jan 11 08:40:36 2015  initial square root is modulo 93887
Sun Jan 11 08:41:08 2015  sqrtTime: 198
--
n: 687292909022261384012055050698588101346592309126370302780353740757137181826822218117091841300335865419283470857141
skew: 101354.29
c0: 11535476243017098734340359012
c1: 269365019197923519093640
c2: -17969149479207482414
c3: 7699153069019
c4: 1756289454
c5: 2664
Y0: -12087072113559915774315
Y1: 87671754233
rlim: 4240000
alim: 4240000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301 / 2318300Serge BatalovJanuary 9, 2015 00:07:29 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 29 秒 (日本時間)
1CypJanuary 9, 2015 00:57:36 UTC 2015 年 1 月 9 日 (金) 9 時 57 分 36 秒 (日本時間)

7×10183-979

c140

name 名前Jo Yeong Uk
date 日付January 8, 2016 13:04:49 UTC 2016 年 1 月 8 日 (金) 22 時 4 分 49 秒 (日本時間)
composite number 合成数
15406067054633055411030921311418253825526528639538918071658586593097680188307315762010309313699728507385767495264434169194898915467630520181<140>
prime factors 素因数
513471654518543256973280844071062114813<39>
30003734225754984605727101662379243083660006880981356206254413081358301766761576010684436520797931737<101>
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 15406067054633055411030921311418253825526528639538918071658586593097680188307315762010309313699728507385767495264434169194898915467630520181 (140 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=555087280
Step 1 took 24708ms
Step 2 took 8560ms
********** Factor found in step 2: 513471654518543256973280844071062114813
Found probable prime factor of 39 digits: 513471654518543256973280844071062114813
Probable prime cofactor 30003734225754984605727101662379243083660006880981356206254413081358301766761576010684436520797931737 has 101 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:07:29 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 29 秒 (日本時間)
1CypJanuary 9, 2015 01:01:27 UTC 2015 年 1 月 9 日 (金) 10 時 1 分 27 秒 (日本時間)
4511e6600 / 4409KTakahashiMay 21, 2015 19:21:54 UTC 2015 年 5 月 22 日 (金) 4 時 21 分 54 秒 (日本時間)

7×10185-979

c130

name 名前Maksym Voznyy
date 日付February 10, 2015 02:46:21 UTC 2015 年 2 月 10 日 (火) 11 時 46 分 21 秒 (日本時間)
composite number 合成数
4351123634982051899495312750151221630221834881604716955276994356649323284583847431338224352447714198684023802814473719579523136417<130>
prime factors 素因数
354766244655576513839504988357292748808003202984987<51>
12264762221688605297888022432610045845798307387640497005781000449220276065499891<80>
factorization results 素因数分解の結果
Number: example8
N = 4351123634982051899495312750151221630221834881604716955276994356649323284583847431338224352447714198684023802814473719579523136417 (130 digits)
Divisors found:
r1=354766244655576513839504988357292748808003202984987 (pp51)
r9=12264762221688605297888022432610045845798307387640497005781000449220276065499891 (pp80)
Version: Msieve v. 1.51 (SVN 845)
Total time: 95.71 hours.
Factorization parameters were as follows:
# Murphy_E = 8.68e-11, selected by Maksym Voznyy
# sieved all c5<6120
n: 4351123634982051899495312750151221630221834881604716955276994356649323284583847431338224352447714198684023802814473719579523136417
Y0: -28018092681214088850620267
Y1: 32622447566501
c0: 2360211107033505592361050179492960
c1: 4980961536670554308500627904
c2: -17132553878899495417694
c3: -1540593022291951
c4: 4009375224
c5: 252
skew: 2037458.54
type: gnfs
# selected mechanically
rlim: 9600000
alim: 9600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9600000/9600000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 18350075
Relations: 1942808 relations
Pruned matrix : 1186374 x 1186599
Polynomial selection time: 0.00 hours.
Total sieving time: 85.53 hours.
Total relation processing time: 0.67 hours.
Matrix solve time: 8.35 hours.
time per square root: 1.16 hours.
Prototype def-par.txt line would be: gnfs,129,5,65,2000,1e-05,0.28,250,20,50000,3600,9600000,9600000,28,28,53,53,2.5,2.5,100000
total time: 95.71 hours.
x86 Family 6 Model 15 Stepping 6, GenuineIntel
Windows-XP-5.1.2600-SP3
processors: 4, speed: 2.66GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovJanuary 9, 2015 00:07:30 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 30 秒 (日本時間)
2350Ignacio SantosFebruary 3, 2015 21:25:07 UTC 2015 年 2 月 4 日 (水) 6 時 25 分 7 秒 (日本時間)
4511e6745 / 3889Pierre JammesFebruary 4, 2015 06:35:13 UTC 2015 年 2 月 4 日 (水) 15 時 35 分 13 秒 (日本時間)

7×10186-979

c159

name 名前Erik Branger
date 日付January 22, 2017 20:18:53 UTC 2017 年 1 月 23 日 (月) 5 時 18 分 53 秒 (日本時間)
composite number 合成数
432595951875039695810104097296493587915470967109713361843860018358390623212787518964665785114354716475263855633984854662264072605774866759143906744531791308803<159>
prime factors 素因数
380851691919795811040980932066543760356861799<45>
1135864592577786930837823684380316826521259024685665772014969596097055561488412732835047275460494963493916708545797<115>
factorization results 素因数分解の結果
Number: 77767_186
N = 432595951875039695810104097296493587915470967109713361843860018358390623212787518964665785114354716475263855633984854662264072605774866759143906744531791308803 (159 digits)
SNFS difficulty: 187 digits.
Divisors found:
r1=380851691919795811040980932066543760356861799 (pp45)
r2=1135864592577786930837823684380316826521259024685665772014969596097055561488412732835047275460494963493916708545797 (pp115)
Version: Msieve v. 1.51 (SVN 845)
Total time: 178.40 hours.
Factorization parameters were as follows:
n: 432595951875039695810104097296493587915470967109713361843860018358390623212787518964665785114354716475263855633984854662264072605774866759143906744531791308803
m: 10000000000000000000000000000000000000
deg: 5
c5: 70
c0: -97
skew: 1.07
# Murphy_E = 4.486e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 23103006
Relations: 2683768 relations
Pruned matrix : 1721653 x 1721878
Polynomial selection time: 0.00 hours.
Total sieving time: 175.03 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.85 hours.
time per square root: 0.39 hours.
Prototype def-par.txt line would be: snfs,187,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,100000
total time: 178.40 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz
execution environment 実行環境
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6581281CypJanuary 8, 2015 19:13:36 UTC 2015 年 1 月 9 日 (金) 4 時 13 分 36 秒 (日本時間)
300Serge BatalovJanuary 9, 2015 00:07:31 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 31 秒 (日本時間)
4511e6600 / 4347KTakahashiJune 1, 2015 10:26:00 UTC 2015 年 6 月 1 日 (月) 19 時 26 分 0 秒 (日本時間)

7×10188-979

c142

name 名前Dmitry Domanov
date 日付September 3, 2016 20:59:52 UTC 2016 年 9 月 4 日 (日) 5 時 59 分 52 秒 (日本時間)
composite number 合成数
5646701381057772350270315893081621051315437715378867740221321044294924231085669210593156335395426048645804520098500837751586559148144290072489<142>
prime factors 素因数
4277927423108959307603094099806514269<37>
1319961940110256566924806750258801597853597279308959195632013623075663977257025478219723047181711968744381<106>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4223988407
Step 1 took 50383ms
Step 2 took 20111ms
********** Factor found in step 2: 4277927423108959307603094099806514269
Found probable prime factor of 37 digits: 4277927423108959307603094099806514269

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:31 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 31 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovSeptember 3, 2016 19:53:19 UTC 2016 年 9 月 4 日 (日) 4 時 53 分 19 秒 (日本時間)

7×10190-979

c179

composite cofactor 合成数の残り
10514143565362132496970773795733515122427856171180899607341254672519479227010347998586743898632866739017081718252051107932664035412895950452497380071765004201281551493477224882909<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:32 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 32 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovJanuary 13, 2017 08:36:08 UTC 2017 年 1 月 13 日 (金) 17 時 36 分 8 秒 (日本時間)

7×10191-979

c168

composite cofactor 合成数の残り
599338700292310873481653730534126676890807594792127006197816289237764188280496988761141736463542696829919543520249640360570934940828522714338728455759539614793869973559<168>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:32 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 32 秒 (日本時間)
4511e6585 / 4409CypJune 22, 2015 08:46:16 UTC 2015 年 6 月 22 日 (月) 17 時 46 分 16 秒 (日本時間)

7×10192-979

c168

composite cofactor 合成数の残り
353662793083283499957668608888302166696221115109519931037210903044161547995789888620736233419710363308852685034701748778458347986834400122232644328661028976257412166547<168>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:33 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 33 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovJanuary 13, 2017 08:40:48 UTC 2017 年 1 月 13 日 (金) 17 時 40 分 48 秒 (日本時間)

7×10194-979

c152

composite cofactor 合成数の残り
19058807991101352782131937520927264601345326840496236933565555187312397400663795997777891604574944487883265075247133326139423082016083655090435746263113<152>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:33 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 33 秒 (日本時間)
4511e6585 / 4409CypMay 18, 2015 05:42:02 UTC 2015 年 5 月 18 日 (月) 14 時 42 分 2 秒 (日本時間)

7×10195-979

c123

name 名前Erik Branger
date 日付January 30, 2015 23:14:30 UTC 2015 年 1 月 31 日 (土) 8 時 14 分 30 秒 (日本時間)
composite number 合成数
511465431596497858386541731854666012892419156547794317507962248625217249604821621646539424325089961402188318394204116033603<123>
prime factors 素因数
190930864546723402126623526439357709115783657<45>
2678799118260606052865836699263372913891602547035764151558208762171783591887179<79>
factorization results 素因数分解の結果
Number: 77767_195
N = 511465431596497858386541731854666012892419156547794317507962248625217249604821621646539424325089961402188318394204116033603 (123 digits)
Divisors found:
r1=190930864546723402126623526439357709115783657 (pp45)
r2=2678799118260606052865836699263372913891602547035764151558208762171783591887179 (pp79)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 22.15 hours.
Factorization parameters were as follows:
# Murphy_E = 1.977e-10, selected by Erik Branger
# expecting poly E from 2.30e-010 to > 2.65e-010
n: 511465431596497858386541731854666012892419156547794317507962248625217249604821621646539424325089961402188318394204116033603
Y0: -777514471146844884250841
Y1: 3333989182711
c0: -10600838545036715998449184345500
c1: 233383182071449126079022120
c2: -632028576927358042504
c3: -1795510958070691
c4: 1330816598
c5: 1800
skew: 553045.72
type: gnfs
# selected mechanically
rlim: 6200000
alim: 6200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10196957
Relations: 1515206 relations
Pruned matrix : 879830 x 880057
Polynomial selection time: 0.00 hours.
Total sieving time: 21.56 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.49 hours.
time per square root: 0.03 hours.
Prototype def-par.txt line would be: gnfs,122,5,65,2000,1e-05,0.28,250,20,50000,3600,6200000,6200000,27,27,52,52,2.5,2.5,100000
total time: 22.15 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:07:34 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 34 秒 (日本時間)

7×10197-979

c174

name 名前Serge Batalov
date 日付January 9, 2015 03:53:58 UTC 2015 年 1 月 9 日 (金) 12 時 53 分 58 秒 (日本時間)
composite number 合成数
668633786225036216081195725072009931863521031181787901533282445129416108305614676554097848178721363500854126036491326195656507867922986635773906444642589289098269459725360597<174>
prime factors 素因数
188104886974902227252474235304051<33>
composite cofactor 合成数の残り
3554579559191613379352484048627871042938676308596965817974626944782738561204665257134689364609593827832560672175047236348379310981288952260247<142>
factorization results 素因数分解の結果
Input number is 668633786225036216081195725072009931863521031181787901533282445129416108305614676554097848178721363500854126036491326195656507867922986635773906444642589289098269459725360597 (174 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3647254409
Step 1 took 15708ms
Step 2 took 11409ms
********** Factor found in step 2: 188104886974902227252474235304051
Found probable prime factor of 33 digits: 188104886974902227252474235304051
Composite cofactor 3554579559191613379352484048627871042938676308596965817974626944782738561204665257134689364609593827832560672175047236348379310981288952260247 has 142 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:35 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 35 秒 (日本時間)
4511e6585 / 4409CypFebruary 2, 2015 10:05:23 UTC 2015 年 2 月 2 日 (月) 19 時 5 分 23 秒 (日本時間)

7×10198-979

c120

name 名前Erik Branger
date 日付January 30, 2015 07:26:30 UTC 2015 年 1 月 30 日 (金) 16 時 26 分 30 秒 (日本時間)
composite number 合成数
493030873120556512593997628240388921752098423668397973284308495380979501691374266396579173430427872962631438431325071381<120>
prime factors 素因数
771517354598456634064803862510037158190555794031729842253<57>
639040548060204044575464456183494024970709982333638512211014377<63>
factorization results 素因数分解の結果
Number: 77767_198
N = 493030873120556512593997628240388921752098423668397973284308495380979501691374266396579173430427872962631438431325071381 (120 digits)
Divisors found:
r1=771517354598456634064803862510037158190555794031729842253 (pp57)
r2=639040548060204044575464456183494024970709982333638512211014377 (pp63)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 15.47 hours.
Factorization parameters were as follows:
# Murphy_E = 2.719e-10, selected by Erik Branger
# expecting poly E from 3.43e-010 to > 3.94e-010
n: 493030873120556512593997628240388921752098423668397973284308495380979501691374266396579173430427872962631438431325071381
Y0: -120192220587193372783859
Y1: 1537491485401
c0: -4458493381084558536413450415840
c1: 161549587693334689290274988
c2: 907778433484213567400
c3: -3125023561067707
c4: -9988393542
c5: 19656
skew: 288767.23
type: gnfs
# selected mechanically
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 9164678
Relations: 1156396 relations
Pruned matrix : 678416 x 678642
Polynomial selection time: 0.00 hours.
Total sieving time: 15.10 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.27 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: gnfs,119,5,63,2000,2.6e-05,0.28,250,20,50000,3600,5200000,5200000,27,27,51,51,2.5,2.5,100000
total time: 15.47 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6281 / 2318CypJanuary 9, 2015 01:42:20 UTC 2015 年 1 月 9 日 (金) 10 時 42 分 20 秒 (日本時間)

7×10199-979

c187

composite cofactor 合成数の残り
2608131880307255264853921658844231957709800657205208996041646495784809821640975719198543007643721533775770443134228205834181092280240789725804593981523593942302837102033513635337860582829<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:36 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 36 秒 (日本時間)
4511e6585 / 4409CypJune 14, 2015 20:33:59 UTC 2015 年 6 月 15 日 (月) 5 時 33 分 59 秒 (日本時間)

7×10201-979

c195

name 名前Serge Batalov
date 日付January 9, 2015 03:54:02 UTC 2015 年 1 月 9 日 (金) 12 時 54 分 2 秒 (日本時間)
composite number 合成数
954318023209286986742205028138066914325826804093915254650902968897003318709091283381874037928142852137556490514556008311291995275853122821683905058444480708529326397349940648235513690987188825863<195>
prime factors 素因数
12633456704942628845211732886793<32>
75538947534123895459514937127967425978276231028335765953392362618300023217032856489437797514656528393840640180942062542155250929485395580218852083621423398641198991<164>
factorization results 素因数分解の結果
Input number is 954318023209286986742205028138066914325826804093915254650902968897003318709091283381874037928142852137556490514556008311291995275853122821683905058444480708529326397349940648235513690987188825863 (195 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3457799091
Step 1 took 16126ms
Step 2 took 10813ms
********** Factor found in step 2: 12633456704942628845211732886793
Found probable prime factor of 32 digits: 12633456704942628845211732886793
Probable prime cofactor 75538947534123895459514937127967425978276231028335765953392362618300023217032856489437797514656528393840640180942062542155250929485395580218852083621423398641198991 has 164 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:07:36 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 36 秒 (日本時間)

7×10202-979

c184

composite cofactor 合成数の残り
1067899229873304623673029841870118085520754451291480081299093603561689675024914564461538780690351547521457371913483486928636341322018485431013764600482264423115445355156514740745236493<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:37 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 37 秒 (日本時間)
4511e61400 / 4409600Dmitry DomanovJanuary 13, 2017 10:18:37 UTC 2017 年 1 月 13 日 (金) 19 時 18 分 37 秒 (日本時間)
800Dmitry DomanovSeptember 4, 2018 09:46:28 UTC 2018 年 9 月 4 日 (火) 18 時 46 分 28 秒 (日本時間)

7×10204-979

c132

name 名前Erik Branger
date 日付March 9, 2015 21:56:12 UTC 2015 年 3 月 10 日 (火) 6 時 56 分 12 秒 (日本時間)
composite number 合成数
682188555436077781290292464589093898028872051535601488154874384006577421912004111680557187333683768837843775118001668354800692118063<132>
prime factors 素因数
146848881510621861099291441795553935320445082688850193798653199<63>
4645514139559406690919181762219923591022873934521451884209191186010337<70>
factorization results 素因数分解の結果
Number: 77767_204
N = 682188555436077781290292464589093898028872051535601488154874384006577421912004111680557187333683768837843775118001668354800692118063 (132 digits)
Divisors found:
r1=146848881510621861099291441795553935320445082688850193798653199 (pp63)
r2=4645514139559406690919181762219923591022873934521451884209191186010337 (pp70)
Version: Msieve v. 1.52 (SVN 958)
Total time: 61.29 hours.
Factorization parameters were as follows:
# Murphy_E = 5.787e-11, selected by Erik Branger
# expecting poly E from 6.43e-011 to > 7.40e-011
n: 682188555436077781290292464589093898028872051535601488154874384006577421912004111680557187333683768837843775118001668354800692118063
Y0: -123236293737687005542888597
Y1: 12457221947863
c0: 101272262867553340555530653911494600
c1: 150675040201305246227573574216
c2: 6408928557338482051296
c3: -13331836447557343
c4: 24162902
c5: 24
skew: 7929120.49
type: gnfs
# selected mechanically
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20160988
Relations: 2786446 relations
Pruned matrix : 1640507 x 1640741
Polynomial selection time: 0.00 hours.
Total sieving time: 59.99 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.09 hours.
time per square root: 0.12 hours.
Prototype def-par.txt line would be: gnfs,131,5,65,2000,1e-05,0.28,250,20,50000,3600,11000000,11000000,28,28,54,54,2.6,2.6,100000
total time: 61.29 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62651300Serge BatalovJanuary 9, 2015 00:07:37 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 37 秒 (日本時間)
1CypJanuary 9, 2015 07:18:43 UTC 2015 年 1 月 9 日 (金) 16 時 18 分 43 秒 (日本時間)
2350Ignacio SantosFebruary 4, 2015 22:18:36 UTC 2015 年 2 月 5 日 (木) 7 時 18 分 36 秒 (日本時間)

7×10205-979

c172

name 名前Serge Batalov
date 日付January 9, 2015 03:54:06 UTC 2015 年 1 月 9 日 (金) 12 時 54 分 6 秒 (日本時間)
composite number 合成数
2184258707833561030393234595956806834718311237105481704405804851923299288123529579918069915457439342584574527148563765614481737335044267908720354919594286330362831439031531<172>
prime factors 素因数
2022664292683224481038219540763627<34>
1079891861311285003824764682582260802318688968204921589238535141950301311278643078404366995177973955384385927682147263880505914937029085953<139>
factorization results 素因数分解の結果
Input number is 2184258707833561030393234595956806834718311237105481704405804851923299288123529579918069915457439342584574527148563765614481737335044267908720354919594286330362831439031531 (172 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2007649080
Step 1 took 11690ms
Step 2 took 10125ms
********** Factor found in step 2: 2022664292683224481038219540763627
Found probable prime factor of 34 digits: 2022664292683224481038219540763627
Probable prime cofactor 1079891861311285003824764682582260802318688968204921589238535141950301311278643078404366995177973955384385927682147263880505914937029085953 has 139 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301 / 2318300Serge BatalovJanuary 9, 2015 00:07:38 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 38 秒 (日本時間)
1CypJanuary 9, 2015 00:50:10 UTC 2015 年 1 月 9 日 (金) 9 時 50 分 10 秒 (日本時間)

7×10206-979

c192

composite cofactor 合成数の残り
358402712883961231129014167197173859642021445316761290621879881017971173993739698933957685512276319776705258186929700313945558606654624704968972993720136157465773513016441306538054539030410157<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:38 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 38 秒 (日本時間)
4511e61385 / 4409585CypJuly 2, 2015 05:28:22 UTC 2015 年 7 月 2 日 (木) 14 時 28 分 22 秒 (日本時間)
800Dmitry DomanovSeptember 4, 2018 16:18:37 UTC 2018 年 9 月 5 日 (水) 1 時 18 分 37 秒 (日本時間)

7×10207-979

c189

name 名前Serge Batalov
date 日付January 9, 2015 03:54:10 UTC 2015 年 1 月 9 日 (金) 12 時 54 分 10 秒 (日本時間)
composite number 合成数
239745691327188101491970765688470766711572139807382052518385045255714818571241632990010177142431872860894920128626985802863190771032008289978784212186594064172081862792789265005178495146563<189>
prime factors 素因数
1288629714876757264513612355254637<34>
composite cofactor 合成数の残り
186046999040462948336365778110930624180726437947391920440574317223995222314264792482911703568742850904967476917230754798178275899799032150628388295626687599<156>
factorization results 素因数分解の結果
Input number is 239745691327188101491970765688470766711572139807382052518385045255714818571241632990010177142431872860894920128626985802863190771032008289978784212186594064172081862792789265005178495146563 (189 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4274648428
Step 1 took 13728ms
Step 2 took 9900ms
********** Factor found in step 2: 1288629714876757264513612355254637
Found probable prime factor of 34 digits: 1288629714876757264513612355254637
Composite cofactor 186046999040462948336365778110930624180726437947391920440574317223995222314264792482911703568742850904967476917230754798178275899799032150628388295626687599 has 156 digits

c156

name 名前Cyp
date 日付May 28, 2015 15:00:26 UTC 2015 年 5 月 29 日 (金) 0 時 0 分 26 秒 (日本時間)
composite number 合成数
186046999040462948336365778110930624180726437947391920440574317223995222314264792482911703568742850904967476917230754798178275899799032150628388295626687599<156>
prime factors 素因数
702406424516150105983586168034341<33>
264870867558793599492948325331990639097590303904532970033275207028421198296977552846664655613739874413451997354704277006339<123>
factorization results 素因数分解の結果
Run 146 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1238980518
Step 1 took 50401ms
Step 2 took 16927ms
********** Factor found in step 2: 702406424516150105983586168034341
Found probable prime factor of 33 digits: 702406424516150105983586168034341
Probable prime cofactor 264870867558793599492948325331990639097590303904532970033275207028421198296977552846664655613739874413451997354704277006339 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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301 / 1814300Serge BatalovJanuary 9, 2015 00:07:40 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 40 秒 (日本時間)
1CypJanuary 9, 2015 00:56:04 UTC 2015 年 1 月 9 日 (金) 9 時 56 分 4 秒 (日本時間)
4511e6146 / 4409CypMay 28, 2015 15:00:26 UTC 2015 年 5 月 29 日 (金) 0 時 0 分 26 秒 (日本時間)

7×10208-979

c208

name 名前Serge Batalov
date 日付February 5, 2015 03:48:48 UTC 2015 年 2 月 5 日 (木) 12 時 48 分 48 秒 (日本時間)
composite number 合成数
2592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592589<208>
prime factors 素因数
22401854047939000137619310303506940415680394037889<50>
composite cofactor 合成数の残り
115731161672804242775316156785582787325181790398230549053445902419632121875020511590331520440006550741376520869170284484942456379554779855980843513085912692301<159>
factorization results 素因数分解の結果
Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=3831752208
Step 1 took 232160ms
Step 2 took 126640ms
********** Factor found in step 2: 22401854047939000137619310303506940415680394037889
Found probable prime factor of 50 digits: 22401854047939000137619310303506940415680394037889
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:07:41 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 41 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:09:02 UTC 2015 年 1 月 11 日 (日) 5 時 9 分 2 秒 (日本時間)
4511e60--
5043e63000 / 74621000Serge BatalovJanuary 11, 2015 21:22:48 UTC 2015 年 1 月 12 日 (月) 6 時 22 分 48 秒 (日本時間)
2000Serge BatalovFebruary 5, 2015 02:36:18 UTC 2015 年 2 月 5 日 (木) 11 時 36 分 18 秒 (日本時間)

7×10209-979

c192

composite cofactor 合成数の残り
163899062938980735748009789379003021919587767082486713281532189278672235804556793141148883771147640824090617827690419196538386515594688061157487278633411953844105354585972497874976217354346699<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:41 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 41 秒 (日本時間)
4511e61385 / 4409585CypFebruary 1, 2015 06:51:23 UTC 2015 年 2 月 1 日 (日) 15 時 51 分 23 秒 (日本時間)
800Dmitry DomanovSeptember 2, 2018 18:31:44 UTC 2018 年 9 月 3 日 (月) 3 時 31 分 44 秒 (日本時間)

7×10211-979

c208

name 名前Bob Backstrom
date 日付September 2, 2017 03:18:13 UTC 2017 年 9 月 2 日 (土) 12 時 18 分 13 秒 (日本時間)
composite number 合成数
8076612437983154494057920849198107765085958232375677858543902157609322718356986269758855428637360101534556363216799353871004961347640475366332064151378793123341409945771316487827391254182531441098419291565709<208>
prime factors 素因数
112368191281618393151741447155627606226076133415628665851<57>
2619363038900586011881245673060704168862430934739214616528805315876873<70>
27440382325161818632462796384047941389280079217008846080775953451758653520668618783<83>
factorization results 素因数分解の結果
Number: n
N=8076612437983154494057920849198107765085958232375677858543902157609322718356986269758855428637360101534556363216799353871004961347640475366332064151378793123341409945771316487827391254182531441098419291565709
  ( 208 digits)
SNFS difficulty: 211 digits.
Divisors found:

Sat Sep  2 13:10:24 2017  prp57 factor: 112368191281618393151741447155627606226076133415628665851
Sat Sep  2 13:10:24 2017  prp70 factor: 2619363038900586011881245673060704168862430934739214616528805315876873
Sat Sep  2 13:10:24 2017  prp83 factor: 27440382325161818632462796384047941389280079217008846080775953451758653520668618783
Sat Sep  2 13:10:24 2017  elapsed time 10:26:41 (Msieve 1.44 - dependency 4)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=3.817).
Factorization parameters were as follows:
#
# 7x10^211-97 7(209)67
#
n: 8076612437983154494057920849198107765085958232375677858543902157609322718356986269758855428637360101534556363216799353871004961347640475366332064151378793123341409945771316487827391254182531441098419291565709
m: 100000000000000000000000000000000000
deg: 6
c6: 70
c0: -97
skew: 1.06
# Murphy_E = 4.346e-12
type: snfs
lss: 1
rlim: 24000000
alim: 24000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 24000000/24000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 40000000)
Primes: RFBsize:1507122, AFBsize:1508074,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 13777054 hash collisions in 73780261 relations (62508701 unique)
Msieve: matrix is 2931022 x 2931248 (830.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 9hrs 44min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 19min 20sec.

Prototype def-par.txt line would be:
snfs,211,6,0,0,0,0,0,0,0,0,24000000,24000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62401300Serge BatalovJanuary 9, 2015 00:07:42 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 42 秒 (日本時間)
1CypJanuary 9, 2015 01:01:54 UTC 2015 年 1 月 9 日 (金) 10 時 1 分 54 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:09:04 UTC 2015 年 1 月 11 日 (日) 5 時 9 分 4 秒 (日本時間)

7×10212-979

c172

composite cofactor 合成数の残り
2851324718209623641379563590585137556640856308191607657569588649734686311882966361537107481259971782414352369588079454558758364604908186458583930165073464891392586750339519<172>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:43 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 43 秒 (日本時間)
4511e61385 / 4409585CypFebruary 8, 2015 01:43:48 UTC 2015 年 2 月 8 日 (日) 10 時 43 分 48 秒 (日本時間)
800Dmitry DomanovSeptember 7, 2018 07:16:03 UTC 2018 年 9 月 7 日 (金) 16 時 16 分 3 秒 (日本時間)

7×10213-979

c206

name 名前Dmitry Domanov
date 日付September 2, 2018 18:07:47 UTC 2018 年 9 月 3 日 (月) 3 時 7 分 47 秒 (日本時間)
composite number 合成数
84709754912775514998703154159253201705023425212074804377040166376735429084133498652891021106028404802408990531881780857049977218521555564922034170196733928269304315450123858368145714719255353816853952068873<206>
prime factors 素因数
395605130289812699786912986086730018859<39>
214127038369595409218871357684862364257633003656012819824448474302710654222075503439313539789138608198762528260390427364640371775448840707663057125373817864370459867547<168>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3365939323
Step 1 took 236689ms
Step 2 took 70755ms
********** Factor found in step 2: 395605130289812699786912986086730018859
Found prime factor of 39 digits: 395605130289812699786912986086730018859

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:43 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 43 秒 (日本時間)
4511e61385 / 4409585CypJune 14, 2015 07:23:17 UTC 2015 年 6 月 14 日 (日) 16 時 23 分 17 秒 (日本時間)
800Dmitry DomanovSeptember 1, 2018 08:44:20 UTC 2018 年 9 月 1 日 (土) 17 時 44 分 20 秒 (日本時間)

7×10215-979

c161

composite cofactor 合成数の残り
30379426361268948003093619752292799936418921081056137961126558854937482589114695134291882645192125755371556881309142253839617521405550175308293509907134935831533<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:44 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 44 秒 (日本時間)
4511e61385 / 4409585CypMay 22, 2015 15:37:42 UTC 2015 年 5 月 23 日 (土) 0 時 37 分 42 秒 (日本時間)
800Dmitry DomanovSeptember 3, 2018 09:49:15 UTC 2018 年 9 月 3 日 (月) 18 時 49 分 15 秒 (日本時間)

7×10216-979

c212

name 名前Serge Batalov
date 日付January 10, 2015 22:41:15 UTC 2015 年 1 月 11 日 (日) 7 時 41 分 15 秒 (日本時間)
composite number 合成数
61035688438968671253062683652026820825376895376110631544987662071551265618596702328947483149790298813291829065194834636881250708449955095172077044477578103882741723124678472712687575749649044791475930140294889569<212>
prime factors 素因数
10439062681506510656593086105240844178957<41>
composite cofactor 合成数の残り
5846855249475360129954773544763703248224580489569077843253768665884186917137091779189345026145955253607885828185077272316727210540779421067242250848942855438475412985098917<172>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1796731965
Step 1 took 16639ms
Step 2 took 10899ms
********** Factor found in step 2: 10439062681506510656593086105240844178957
Found probable prime factor of 41 digits: 10439062681506510656593086105240844178957
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62401300Serge BatalovJanuary 9, 2015 00:07:44 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 44 秒 (日本時間)
1CypJanuary 9, 2015 00:59:32 UTC 2015 年 1 月 9 日 (金) 9 時 59 分 32 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:09:05 UTC 2015 年 1 月 11 日 (日) 5 時 9 分 5 秒 (日本時間)
4511e6900 / 3944Dmitry DomanovSeptember 6, 2018 19:17:51 UTC 2018 年 9 月 7 日 (金) 4 時 17 分 51 秒 (日本時間)

7×10217-979

c189

composite cofactor 合成数の残り
197966591579668864634136392784493876736357706494727506540730422259211344136876284302429247649173772664374087778977345474891726056361998003048301731077622665352883619226696709731519977437717<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:45 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 45 秒 (日本時間)
4511e61385 / 4409585CypMay 25, 2015 19:05:56 UTC 2015 年 5 月 26 日 (火) 4 時 5 分 56 秒 (日本時間)
800Dmitry DomanovSeptember 2, 2018 18:30:58 UTC 2018 年 9 月 3 日 (月) 3 時 30 分 58 秒 (日本時間)

7×10218-979

c165

composite cofactor 合成数の残り
684250096190483936191810059976310132140154356999742633310150719899308126072652740481215523872302973534088930316709932689421794325941964225964355177169926189110194729<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:46 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 46 秒 (日本時間)
4511e61385 / 4409585CypJuly 2, 2015 06:37:12 UTC 2015 年 7 月 2 日 (木) 15 時 37 分 12 秒 (日本時間)
800Dmitry DomanovSeptember 3, 2018 16:00:34 UTC 2018 年 9 月 4 日 (火) 1 時 0 分 34 秒 (日本時間)

7×10219-979

c196

composite cofactor 合成数の残り
3185241593258180067467070748024125346533936279588076776580722560378769784674991641854190691108458643056406904447618925133206062003639766666279186933721521641206988035918553581413610572050305897363<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:07:46 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 46 秒 (日本時間)
1CypJanuary 9, 2015 00:49:47 UTC 2015 年 1 月 9 日 (金) 9 時 49 分 47 秒 (日本時間)
4511e61396 / 440946CypAugust 4, 2015 18:16:41 UTC 2015 年 8 月 5 日 (水) 3 時 16 分 41 秒 (日本時間)
600Dmitry DomanovJanuary 13, 2017 10:19:14 UTC 2017 年 1 月 13 日 (金) 19 時 19 分 14 秒 (日本時間)
750Dmitry DomanovSeptember 6, 2018 06:53:55 UTC 2018 年 9 月 6 日 (木) 15 時 53 分 55 秒 (日本時間)

7×10220-979

c159

name 名前Erik Branger
date 日付March 9, 2018 16:17:05 UTC 2018 年 3 月 10 日 (土) 1 時 17 分 5 秒 (日本時間)
composite number 合成数
285368188613095701390675166584532592775376916439872484156894771861104468274730812084325238283327204647325376397254702584314582348404336926933759536824540227179<159>
prime factors 素因数
16631616826697386767385308097111444900589872999871856738976338515179057<71>
17158174793626634826195809559373289806468937537288137884108905852969740056663559893619547<89>
factorization results 素因数分解の結果
Number: 77767_220
N = 285368188613095701390675166584532592775376916439872484156894771861104468274730812084325238283327204647325376397254702584314582348404336926933759536824540227179 (159 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=16631616826697386767385308097111444900589872999871856738976338515179057 (pp71)
r2=17158174793626634826195809559373289806468937537288137884108905852969740056663559893619547 (pp89)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 77.80 hours.
Factorization parameters were as follows:
n: 285368188613095701390675166584532592775376916439872484156894771861104468274730812084325238283327204647325376397254702584314582348404336926933759536824540227179
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 7
c0: -97
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: 30642842
Relations: 7769536 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 41.06 hours.
Total relation processing time: 0.30 hours.
Pruned matrix : 7175400 x 7175625
Matrix solve time: 36.17 hours.
time per square root: 0.28 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,536870912,29,27,58,54,2.8,2.8,100000
total time: 77.80 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.16299-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:47 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 47 秒 (日本時間)
4511e6585 / 4409CypMay 28, 2015 00:42:22 UTC 2015 年 5 月 28 日 (木) 9 時 42 分 22 秒 (日本時間)

7×10221-979

c201

composite cofactor 合成数の残り
169644625654506880606290369581088313064503922586003087508258693274985458115438145497329877273684368229074039315381226489406140326038588836367023031080873003569023977697943765038460406377587478677110287<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:07:48 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 48 秒 (日本時間)
1CypJanuary 9, 2015 01:04:03 UTC 2015 年 1 月 9 日 (金) 10 時 4 分 3 秒 (日本時間)
4511e61385 / 4409585CypMay 13, 2015 06:13:11 UTC 2015 年 5 月 13 日 (水) 15 時 13 分 11 秒 (日本時間)
800Dmitry DomanovSeptember 1, 2018 08:45:46 UTC 2018 年 9 月 1 日 (土) 17 時 45 分 46 秒 (日本時間)

7×10222-979

c213

name 名前Bob Backstrom
date 日付July 6, 2018 23:45:07 UTC 2018 年 7 月 7 日 (土) 8 時 45 分 7 秒 (日本時間)
composite number 合成数
439187964564845119532035014518215526338923798782618156110098711014186367860923789805490678129074512030952946818736084144648538498421510238789551199905528962263153791390480515326789712361309431063669279304454025163<213>
prime factors 素因数
812383292361763809758891923404573969231557883109<48>
540616687583561931518125075521521767033045344075640958956367104252375085860620129666719928892900720959251879072147950956419312689393832987070413600120858712907642607<165>
factorization results 素因数分解の結果
Number: n
N=439187964564845119532035014518215526338923798782618156110098711014186367860923789805490678129074512030952946818736084144648538498421510238789551199905528962263153791390480515326789712361309431063669279304454025163
  ( 213 digits)
SNFS difficulty: 222 digits.
Divisors found:

Sat Jul  7 09:34:00 2018  p48 factor: 812383292361763809758891923404573969231557883109
Sat Jul  7 09:34:00 2018  p165 factor: 540616687583561931518125075521521767033045344075640958956367104252375085860620129666719928892900720959251879072147950956419312689393832987070413600120858712907642607
Sat Jul  7 09:34:00 2018  elapsed time 07:20:35 (Msieve 1.53 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.125).
Factorization parameters were as follows:
#
# 7x10^222-97 = 7(220)67
#
n: 439187964564845119532035014518215526338923798782618156110098711014186367860923789805490678129074512030952946818736084144648538498421510238789551199905528962263153791390480515326789712361309431063669279304454025163
m: 10000000000000000000000000000000000000
deg: 6
c6: 7
c0: -97
skew: 1.55
# Murphy_E = 2.394e-12
type: snfs
lss: 1
rlim: 36000000
alim: 36000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 36000000/36000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 71600000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 13931471 hash collisions in 73022716 relations (61387366 unique)
Msieve: matrix is 4263258 x 4263485 (1204.7 MB)

Sieving start time: 2018/07/05 06:44:55
Sieving end time  : 2018/07/07 02:11:35

Total sieving time: 43hrs 26min 40secs.
Total relation processing time: 6hrs 52min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 48sec.

Prototype def-par.txt line would be:
snfs,222,6,0,0,0,0,0,0,0,0,36000000,36000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.036000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16286680K/16703460K available (12300K kernel code, 2470K rwdata, 4240K rodata, 2408K init, 2416K bss, 416780K reserved, 0K cma-reserved)
[    0.068657] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.50 BogoMIPS (lpj=11977000)
[    0.066215] smpboot: Total of 16 processors activated (95816.00 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:49 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 49 秒 (日本時間)
4511e6585 / 4409CypJuly 4, 2015 06:01:00 UTC 2015 年 7 月 4 日 (土) 15 時 1 分 0 秒 (日本時間)

7×10223-979

c141

name 名前Serge Batalov
date 日付January 9, 2015 03:54:14 UTC 2015 年 1 月 9 日 (金) 12 時 54 分 14 秒 (日本時間)
composite number 合成数
547154192033941339972630303301971511384758846556133132548015188352740107989383925475812096695216852443266911288286919297043842709866437168339<141>
prime factors 素因数
14512452528422189874832569911057<32>
37702393235213466552658148981924017823932886506849589771063137696101357036077346175870787160985066116019371427<110>
factorization results 素因数分解の結果
Input number is 547154192033941339972630303301971511384758846556133132548015188352740107989383925475812096695216852443266911288286919297043842709866437168339 (141 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=179877996
Step 1 took 9199ms
Step 2 took 7488ms
********** Factor found in step 2: 14512452528422189874832569911057
Found probable prime factor of 32 digits: 14512452528422189874832569911057
Probable prime cofactor 37702393235213466552658148981924017823932886506849589771063137696101357036077346175870787160985066116019371427 has 110 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:07:49 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 49 秒 (日本時間)

7×10224-979

c161

name 名前Cyp
date 日付July 7, 2015 09:39:18 UTC 2015 年 7 月 7 日 (火) 18 時 39 分 18 秒 (日本時間)
composite number 合成数
23102676521722553332515034286783534239193405657102707805752438400765224356951054580511155141541337220685144703403571670076817900192191209756905701491904220787619<161>
prime factors 素因数
52598063712247292767777468846727612713<38>
439230551301514321299494670052224703005741458157214148242632947026825376015469228492027401045491776912137879080656141865963<123>
factorization results 素因数分解の結果
Run 218 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=812330309
Step 1 took 50583ms
Step 2 took 16498ms
********** Factor found in step 2: 52598063712247292767777468846727612713
Found probable prime factor of 38 digits: 52598063712247292767777468846727612713
Probable prime cofactor 439230551301514321299494670052224703005741458157214148242632947026825376015469228492027401045491776912137879080656141865963 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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 1566Serge BatalovJanuary 9, 2015 00:07:50 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 50 秒 (日本時間)
4511e6218 / 4409CypJuly 7, 2015 09:39:17 UTC 2015 年 7 月 7 日 (火) 18 時 39 分 17 秒 (日本時間)

7×10225-979

c206

composite cofactor 合成数の残り
13168504106034765415255266195804661266103598823927964964344486349746640915384787918480057352175545644318589519797413903493459319556663682101539550049763688966795567300420761873220297514081209733435976689061<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:50 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 50 秒 (日本時間)
4511e61372 / 4409172CypAugust 4, 2015 18:16:37 UTC 2015 年 8 月 5 日 (水) 3 時 16 分 37 秒 (日本時間)
1200Dmitry DomanovSeptember 1, 2018 08:44:45 UTC 2018 年 9 月 1 日 (土) 17 時 44 分 45 秒 (日本時間)

7×10226-979

c226

composite cofactor 合成数の残り
2592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592589<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:07:51 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 51 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 08:39:52 UTC 2015 年 1 月 10 日 (土) 17 時 39 分 52 秒 (日本時間)
4511e6436KTakahashiMarch 11, 2015 02:50:29 UTC 2015 年 3 月 11 日 (水) 11 時 50 分 29 秒 (日本時間)
5043e61000 / 7364Serge BatalovJanuary 11, 2015 21:22:49 UTC 2015 年 1 月 12 日 (月) 6 時 22 分 49 秒 (日本時間)

7×10227-979

c227

name 名前Serge Batalov
date 日付January 10, 2015 09:14:54 UTC 2015 年 1 月 10 日 (土) 18 時 14 分 54 秒 (日本時間)
composite number 合成数
77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777767<227>
prime factors 素因数
8927504125497478756445535817078369<34>
composite cofactor 合成数の残り
8712152543916485388828245795572354706869414775383193881098325112475632616604732324978901993603262082250522188865254498316279665691601149039174960165325660292818889358751846601186794931102259143<193>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1670263266
Step 1 took 18192ms
Step 2 took 12130ms
********** Factor found in step 2: 8927504125497478756445535817078369
Found probable prime factor of 34 digits: 8927504125497478756445535817078369
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62401300Serge BatalovJanuary 9, 2015 00:07:51 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 51 秒 (日本時間)
1CypJanuary 9, 2015 01:00:09 UTC 2015 年 1 月 9 日 (金) 10 時 0 分 9 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 08:39:54 UTC 2015 年 1 月 10 日 (土) 17 時 39 分 54 秒 (日本時間)
4511e6888 / 3944Dmitry DomanovSeptember 4, 2018 23:54:09 UTC 2018 年 9 月 5 日 (水) 8 時 54 分 9 秒 (日本時間)

7×10229-979

c178

composite cofactor 合成数の残り
1023127346414720827981875102958931773422212532351515584944315796506832701731364214491272237206109288988381278051877249645192952287185896497614518223266625441061271096188232158301<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:52 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 52 秒 (日本時間)
4511e61385 / 4409585CypJune 6, 2015 09:31:42 UTC 2015 年 6 月 6 日 (土) 18 時 31 分 42 秒 (日本時間)
800Dmitry DomanovSeptember 5, 2018 10:21:56 UTC 2018 年 9 月 5 日 (水) 19 時 21 分 56 秒 (日本時間)

7×10231-979

c216

name 名前Serge Batalov
date 日付January 9, 2015 03:54:18 UTC 2015 年 1 月 9 日 (金) 12 時 54 分 18 秒 (日本時間)
composite number 合成数
989046406082097384376410396647743842655228201894448992290665646050931949391412226622663769784322461638513213225821762024954862687551951313477610941312032895092821594107653455812687777642961086651415718641592886765667<216>
prime factors 素因数
162594091967562407852674208206843477<36>
composite cofactor 合成数の残り
6082917245722634085985704486314145831635524926635879548269169377019282160276034177212935827289203268392438202896089465576926790341812068895920971857672868710107819391993768756544471<181>
factorization results 素因数分解の結果
Input number is 989046406082097384376410396647743842655228201894448992290665646050931949391412226622663769784322461638513213225821762024954862687551951313477610941312032895092821594107653455812687777642961086651415718641592886765667 (216 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1820567012
Step 1 took 20040ms
Step 2 took 13950ms
********** Factor found in step 2: 162594091967562407852674208206843477
Found probable prime factor of 36 digits: 162594091967562407852674208206843477
Composite cofactor 6082917245722634085985704486314145831635524926635879548269169377019282160276034177212935827289203268392438202896089465576926790341812068895920971857672868710107819391993768756544471 has 181 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:52 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 52 秒 (日本時間)
4511e61385 / 4409585CypJune 3, 2015 18:36:56 UTC 2015 年 6 月 4 日 (木) 3 時 36 分 56 秒 (日本時間)
800Dmitry DomanovAugust 31, 2018 21:59:57 UTC 2018 年 9 月 1 日 (土) 6 時 59 分 57 秒 (日本時間)

7×10232-979

c198

name 名前Serge Batalov
date 日付January 9, 2015 03:54:22 UTC 2015 年 1 月 9 日 (金) 12 時 54 分 22 秒 (日本時間)
composite number 合成数
285053066977671017233090526125441442872438879866378620178756197600300672744886717196242012318511795184359028298764753716312449349702491531662759092816331058400781564379703303299126166598960628588179<198>
prime factors 素因数
26006556972490725876841489990170967<35>
composite cofactor 合成数の残り
10960815277439266155588030942382341017744781784137036861273824576444642150434564352846696727306366006705880268703190061394694582007176328559188808624771291973907237<164>
factorization results 素因数分解の結果
Input number is 285053066977671017233090526125441442872438879866378620178756197600300672744886717196242012318511795184359028298764753716312449349702491531662759092816331058400781564379703303299126166598960628588179 (198 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3067026704
Step 1 took 16118ms
Step 2 took 10792ms
********** Factor found in step 2: 26006556972490725876841489990170967
Found probable prime factor of 35 digits: 26006556972490725876841489990170967
Composite cofactor 10960815277439266155588030942382341017744781784137036861273824576444642150434564352846696727306366006705880268703190061394694582007176328559188808624771291973907237 has 164 digits

c164

name 名前Dmitry Domanov
date 日付September 1, 2018 08:56:26 UTC 2018 年 9 月 1 日 (土) 17 時 56 分 26 秒 (日本時間)
composite number 合成数
10960815277439266155588030942382341017744781784137036861273824576444642150434564352846696727306366006705880268703190061394694582007176328559188808624771291973907237<164>
prime factors 素因数
5396922386835132934744260839151133254509<40>
51198295457762424600817268773258970351388333901939499<53>
39668080314020117010279287567930257576558566812010200456070607594783307<71>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3161186615
Step 1 took 147508ms
Step 2 took 62944ms
********** Factor found in step 2: 5396922386835132934744260839151133254509
Found prime factor of 40 digits: 5396922386835132934744260839151133254509
Composite cofactor 2030938096159451210432594616429653199511152322438439926012603876530870753665748725892190451598591259279731065621681929143193 has 124 digits

Number: c124
N=2030938096159451210432594616429653199511152322438439926012603876530870753665748725892190451598591259279731065621681929143193
  ( 124 digits)
Divisors found:
 r1=51198295457762424600817268773258970351388333901939499 (pp53)
 r2=39668080314020117010279287567930257576558566812010200456070607594783307 (pp71)
Version: Msieve v. 1.52 (SVN exported)
Total time: 25.83 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2030938096159451210432594616429653199511152322438439926012603876530870753665748725892190451598591259279731065621681929143193
skew: 223658.61
c0: 466675803606589759536511322368
c1: 70642497332780683615750260
c2: -1368875066593006455452
c3: -62561509692207
c4: 19694892886
c5: 28200
Y0: -590865910865523900295935
Y1: 5657518341871
rlim: 6700000
alim: 6700000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [3350000, 6350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 774571 x 774797
Total sieving time: 25.56 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,123,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6700000,6700000,27,27,54,54,2.5,2.5,100000
total time: 25.83 hours.
 --------- CPU info (if available) ----------
[    0.032900] smpboot: CPU0: Intel(R) Core(TM) i5-4570 CPU @ 3.20GHz (family: 0x6, model: 0x3c, stepping: 0x3)
[    0.000000] Memory: 7532236K/7802808K available (12300K kernel code, 2470K rwdata, 4252K rodata, 2408K init, 2416K bss, 270572K reserved, 0K cma-reserved)
[    0.040182] x86/mm: Memory block size: 128MB
[    1.346435] [drm] Memory usable by graphics device = 2048M
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 6396.24 BogoMIPS (lpj=12792484)
[    0.037421] smpboot: Total of 4 processors activated (25584.96 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:07:53 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 53 秒 (日本時間)
1CypJanuary 9, 2015 01:02:53 UTC 2015 年 1 月 9 日 (金) 10 時 2 分 53 秒 (日本時間)
4511e61379 / 4409233CypAugust 4, 2015 18:16:35 UTC 2015 年 8 月 5 日 (水) 3 時 16 分 35 秒 (日本時間)
480Dmitry DomanovJanuary 13, 2017 10:20:12 UTC 2017 年 1 月 13 日 (金) 19 時 20 分 12 秒 (日本時間)
666Dmitry DomanovAugust 31, 2018 16:34:57 UTC 2018 年 9 月 1 日 (土) 1 時 34 分 57 秒 (日本時間)

7×10234-979

c213

composite cofactor 合成数の残り
117381747577471739622130811177351633946213093202801526572659944555587920161098489505077304882107324563275313735761058801804033492711628881476269605797838410206130969025483700440871699495621146780751447971805400981<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:53 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 53 秒 (日本時間)
4511e61385 / 4409585CypFebruary 9, 2015 14:27:42 UTC 2015 年 2 月 9 日 (月) 23 時 27 分 42 秒 (日本時間)
800Dmitry DomanovSeptember 3, 2018 22:54:25 UTC 2018 年 9 月 4 日 (火) 7 時 54 分 25 秒 (日本時間)

7×10236-979

c233

composite cofactor 合成数の残り
47628767775736544873103354426073348302374634279104579165816152956385656936789821051915356875552833911682656324419949649588351364223991290739606722460366061100904946587738994352588963734095393617745118051302987004150506906171327481799<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:07:54 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 54 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 08:39:58 UTC 2015 年 1 月 10 日 (土) 17 時 39 分 58 秒 (日本時間)
4511e6940 / 3944Dmitry DomanovAugust 31, 2018 16:14:45 UTC 2018 年 9 月 1 日 (土) 1 時 14 分 45 秒 (日本時間)

7×10237-979

c206

name 名前Cyp
date 日付June 16, 2015 08:43:30 UTC 2015 年 6 月 16 日 (火) 17 時 43 分 30 秒 (日本時間)
composite number 合成数
12157686444638063137833435629915243884536610348696379460949858291616842103217395652343043779541133060028734663652394918652572164985217170810748068501532161462234522996581380624391750892884859498550770695537<206>
prime factors 素因数
26617721313345316480939448428278193<35>
456751586716123917787639600384863094732221297491361919843985172663493422744873471236363564006919644193963573798803009891518953943458994670091365829327824849331735784732609<171>
factorization results 素因数分解の結果
Run 72 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3254124429
Step 1 took 72798ms
Step 2 took 21478ms
********** Factor found in step 2: 26617721313345316480939448428278193
Found probable prime factor of 35 digits: 26617721313345316480939448428278193
Probable prime cofactor 456751586716123917787639600384863094732221297491361919843985172663493422744873471236363564006919644193963573798803009891518953943458994670091365829327824849331735784732609 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
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2070Serge BatalovJanuary 9, 2015 00:07:55 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 55 秒 (日本時間)
4511e672 / 4409CypJune 16, 2015 08:43:30 UTC 2015 年 6 月 16 日 (火) 17 時 43 分 30 秒 (日本時間)

7×10238-979

c188

name 名前Cyp
date 日付February 10, 2015 09:10:26 UTC 2015 年 2 月 10 日 (火) 18 時 10 分 26 秒 (日本時間)
composite number 合成数
66245701643240724398612377862673778602385162052031029157106859149652233537112554258751234540341074825198724181550653955406929041671659818811877321502820953629174778319407744827878863714159<188>
prime factors 素因数
112722965543263935439162943427214457<36>
587685937146633335825399854163649208955690038725469848577886010560756281958917434431534314862419638625826582022893274474456518023367480112445795941845287<153>
factorization results 素因数分解の結果
Run 224 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1915215842
Step 1 took 58783ms
Step 2 took 18997ms
********** Factor found in step 2: 112722965543263935439162943427214457
Found probable prime factor of 36 digits: 112722965543263935439162943427214457
Probable prime cofactor 587685937146633335825399854163649208955690038725469848577886010560756281958917434431534314862419638625826582022893274474456518023367480112445795941845287 has 153 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301 / 1545300Serge BatalovJanuary 9, 2015 00:07:55 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 55 秒 (日本時間)
1CypJanuary 9, 2015 01:04:52 UTC 2015 年 1 月 9 日 (金) 10 時 4 分 52 秒 (日本時間)
4511e6224 / 4409CypFebruary 10, 2015 09:10:25 UTC 2015 年 2 月 10 日 (火) 18 時 10 分 25 秒 (日本時間)

7×10239-979

c236

name 名前Serge Batalov
date 日付January 9, 2015 21:41:53 UTC 2015 年 1 月 10 日 (土) 6 時 41 分 53 秒 (日本時間)
composite number 合成数
15217722124394008565403595730341963955738168221048283658340398704319659123024413574208134959455640340007391465031848518446053175069023239635644253135937737776908193656383834431183286593186808408878453879432161568729754994673797256462097<236>
prime factors 素因数
25193054621282670398538390249328357<35>
composite cofactor 合成数の残り
604044342901488885326732281844559892753539482612267810914815596951662539447969016841367547504901702427935650685421585886921214830797044779567700182205960317594936114646601264298068579039745873995333821<201>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1079871315
Step 1 took 22955ms
Step 2 took 15473ms
********** Factor found in step 2: 25193054621282670398538390249328357
Found probable prime factor of 35 digits: 25193054621282670398538390249328357
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:07:56 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 56 秒 (日本時間)
2100Serge BatalovJanuary 9, 2015 21:35:09 UTC 2015 年 1 月 10 日 (土) 6 時 35 分 9 秒 (日本時間)

7×10240-979

c202

composite cofactor 合成数の残り
2003842005643031482139236091167655954820605929420750640904898622264542523704002127826897630717811553124964277905090261337216206790506802076486186856459472949317303378831014142099488086565421139176119149<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:57 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 57 秒 (日本時間)
4511e61385 / 4409585CypMay 15, 2015 22:34:20 UTC 2015 年 5 月 16 日 (土) 7 時 34 分 20 秒 (日本時間)
800Dmitry DomanovAugust 30, 2018 21:36:25 UTC 2018 年 8 月 31 日 (金) 6 時 36 分 25 秒 (日本時間)

7×10241-979

c229

composite cofactor 合成数の残り
5096652708515378056982472137025551792971001798817293461201660136242198767284591578217634367043903806917030874721482948395948863362089711208316969816017331718951773908183292737200211412553408842244879566706994137513453438922835461<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:57 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 57 秒 (日本時間)
4511e61385 / 4409585CypJune 18, 2015 06:03:48 UTC 2015 年 6 月 18 日 (木) 15 時 3 分 48 秒 (日本時間)
800Dmitry DomanovAugust 31, 2018 16:12:36 UTC 2018 年 9 月 1 日 (土) 1 時 12 分 36 秒 (日本時間)

7×10243-979

c242

composite cofactor 合成数の残り
59829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:07:58 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 58 秒 (日本時間)
2100Serge BatalovJanuary 9, 2015 21:35:13 UTC 2015 年 1 月 10 日 (土) 6 時 35 分 13 秒 (日本時間)
4511e6436KTakahashiMarch 10, 2015 13:25:02 UTC 2015 年 3 月 10 日 (火) 22 時 25 分 2 秒 (日本時間)
5043e61000 / 7364Serge BatalovJanuary 11, 2015 21:31:17 UTC 2015 年 1 月 12 日 (月) 6 時 31 分 17 秒 (日本時間)

7×10244-979

c212

composite cofactor 合成数の残り
28254772313551936087637054537953389606640849263708319815153793399597223650516044873885572250102338309938067699469507344026866195575917908789265341097579260310732341305453606795161993277150219764656724053368914691<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:58 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 58 秒 (日本時間)
4511e61385 / 4409585CypJune 20, 2015 22:22:00 UTC 2015 年 6 月 21 日 (日) 7 時 22 分 0 秒 (日本時間)
800Dmitry DomanovAugust 30, 2018 17:53:46 UTC 2018 年 8 月 31 日 (金) 2 時 53 分 46 秒 (日本時間)

7×10245-979

c234

name 名前Cyp
date 日付May 17, 2015 08:10:58 UTC 2015 年 5 月 17 日 (日) 17 時 10 分 58 秒 (日本時間)
composite number 合成数
113750605802168651756026973223484480840251739776881285288798257963260316247057997784061000337617502288715806306434616262789173384911357024671351685378219185312739088241309532944783135327105917455428533139047888436370446921665568318339<234>
prime factors 素因数
2354020689293007287641751777624806837<37>
composite cofactor 合成数の残り
48321837747454904014133919691702002240669720907682328170565608524692225379491749014432259792831101569319264996870482944308093482602451497389644776202373857799468013151003014117687489769623967881047<197>
factorization results 素因数分解の結果
Run 421 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=985191282
Step 1 took 91556ms
Step 2 took 25631ms
********** Factor found in step 2: 2354020689293007287641751777624806837
Found probable prime factor of 37 digits: 2354020689293007287641751777624806837
Composite cofactor 48321837747454904014133919691702002240669720907682328170565608524692225379491749014432259792831101569319264996870482944308093482602451497389644776202373857799468013151003014117687489769623967881047 has 197 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:59 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 59 秒 (日本時間)
4511e61385 / 4409585CypMay 17, 2015 08:10:57 UTC 2015 年 5 月 17 日 (日) 17 時 10 分 57 秒 (日本時間)
800Dmitry DomanovAugust 30, 2018 21:37:08 UTC 2018 年 8 月 31 日 (金) 6 時 37 分 8 秒 (日本時間)

7×10247-979

c239

name 名前Serge Batalov
date 日付January 9, 2015 03:54:26 UTC 2015 年 1 月 9 日 (金) 12 時 54 分 26 秒 (日本時間)
composite number 合成数
10614869495434672235908981875288211429842083907309465598803456001887510617991404373775968975507249064747087739396391630061793417961232608065748346374345740899157811295571748808891808317675957277663275407992013156254861216910084025831459001<239>
prime factors 素因数
7576879345420595370947546218673<31>
composite cofactor 合成数の残り
1400955328904664894022722850290723388175473339249762217186407396398884656717852739195883099203813978653714276393012630148324673300782161245158567146745873670799468251904540387009023804109512719601662716889737<208>
factorization results 素因数分解の結果
Input number is 10614869495434672235908981875288211429842083907309465598803456001887510617991404373775968975507249064747087739396391630061793417961232608065748346374345740899157811295571748808891808317675957277663275407992013156254861216910084025831459001 (239 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2478662664
Step 1 took 21118ms
Step 2 took 13236ms
********** Factor found in step 2: 7576879345420595370947546218673
Found probable prime factor of 31 digits: 7576879345420595370947546218673
Composite cofactor 1400955328904664894022722850290723388175473339249762217186407396398884656717852739195883099203813978653714276393012630148324673300782161245158567146745873670799468251904540387009023804109512719601662716889737 has 208 digits

c208

name 名前Dmitry Domanov
date 日付August 31, 2018 15:54:39 UTC 2018 年 9 月 1 日 (土) 0 時 54 分 39 秒 (日本時間)
composite number 合成数
1400955328904664894022722850290723388175473339249762217186407396398884656717852739195883099203813978653714276393012630148324673300782161245158567146745873670799468251904540387009023804109512719601662716889737<208>
prime factors 素因数
33362898393629840206451758348960678094921<41>
composite cofactor 合成数の残り
41991415505199539880147918582619023151360000883842937720680830800409887124005025705343208649986461783615474949153144154033348724597070607569544981630211599280348434497<167>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2622263053
Step 1 took 80655ms
Step 2 took 23737ms
********** Factor found in step 2: 33362898393629840206451758348960678094921
Found probable prime factor of 41 digits: 33362898393629840206451758348960678094921

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:59 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 59 秒 (日本時間)
4511e61385585CypJuly 4, 2015 07:28:31 UTC 2015 年 7 月 4 日 (土) 16 時 28 分 31 秒 (日本時間)
800Dmitry DomanovAugust 30, 2018 17:54:08 UTC 2018 年 8 月 31 日 (金) 2 時 54 分 8 秒 (日本時間)
5043e6864 / 7231Dmitry DomanovSeptember 2, 2018 21:00:19 UTC 2018 年 9 月 3 日 (月) 6 時 0 分 19 秒 (日本時間)

7×10249-979

c182

composite cofactor 合成数の残り
16620711311814263166261085129514512286662022795299082275812113940048105882255533313549362730923043822525318724873108131490216217973527178347445183215211366749377636150059012203933167<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:00 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 0 秒 (日本時間)
4511e61370 / 4409290CypAugust 4, 2015 18:16:39 UTC 2015 年 8 月 5 日 (水) 3 時 16 分 39 秒 (日本時間)
480Dmitry DomanovJanuary 13, 2017 10:21:19 UTC 2017 年 1 月 13 日 (金) 19 時 21 分 19 秒 (日本時間)
600Dmitry DomanovAugust 31, 2018 11:00:53 UTC 2018 年 8 月 31 日 (金) 20 時 0 分 53 秒 (日本時間)

7×10251-979

c239

composite cofactor 合成数の残り
38046477628389777949685990693982932832626223742021374310678109372547227694641570007513181748071874784292170944711719912718430650982191144807466781106000933482627299492911684367066029160190005735115220002843158967801485778518976014188856019<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10253-979

c188

composite cofactor 合成数の残り
43430118929844015720053003283874468638875710062118764180866158895784756069834379281724685307609241724213593687234766240680251203586693915765638191835442392013357473963235355894548103363663<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10255-979

c252

composite cofactor 合成数の残り
401537314288992141341134629725233752079389663282280731945161475362817644696839327711810933287443354557448517180060804221878047381403086101072678253886307577582745367980267309126369529054092812482074227040669993690127918315837778925027247174898181609591<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10256-979

c241

composite cofactor 合成数の残り
2523250054641332657148606797138570945675071789397660447843616771480812812196288544887676232750848916160167935308189877853303511286234031394445720194063335008813648920222317655227311337195102951504132156850254389383371665270559415296474030667<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10257-979

c250

composite cofactor 合成数の残り
3998721574437895852371175343489754809760849658414065094125992827584511281019075792734127533135134984758501409169476439786687854864046922507043733772223873408609495470502404919697987527404738470213314487244303819689098369344763027733493364455726094747<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10258-979

c214

composite cofactor 合成数の残り
4357698671827590921668974410040184837862345741751273387458598561914833158691373778581254846172862941266987250386237818517286836536647774009534457251509868208439431713025987517032176467646873039935884876955051245153<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10259-979

c226

composite cofactor 合成数の残り
3943576899400149308164029228232605427716804562363109748929454130920976097829011936768971624897643195501746136342541111921979448174865439811842810873851644435940888977620905589475123982437743696096896764522940786458326480806209<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10260-979

c172

composite cofactor 合成数の残り
1625507826319286279796629828354744362269321304935891576674659419897862862600390610789229486133541144120668643352084869684425124036266817730443959174982647989512716141050619<172>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62000 / 3928Dmitry DomanovNovember 7, 2018 06:16:58 UTC 2018 年 11 月 7 日 (水) 15 時 16 分 58 秒 (日本時間)

7×10261-979

c251

composite cofactor 合成数の残り
31845237852016029250739649382860612406933170453050427692405625876672218724159551235040420696898127009834658092446068207791906690343760963720995397961375412262432188240368579977249549261344503373293258823627502750851457837810232499544356482965579696833<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10264-979

c253

composite cofactor 合成数の残り
4756770634064342627027786123923099628318709079101567609548750607382070883234252666946103167078317742420099216572101402178448488155906414092743240194827635466404606054920831108888776601770879984393196681842427460282365274357696497398296501795876182172203<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10265-979

c258

composite cofactor 合成数の残り
133551179728257271252647430347760651689615405017161813102950069436024758015326367727346734572252141216048244669210698352302208370446490727067484779062343615742012577243402876504294970644391825661206310303163104935880084884137740802340268453401348125515420507<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10266-979

c235

composite cofactor 合成数の残り
2370128360601793325554569834688792334712121036296742695539629630948058216591606107473350891600306347192493703122776714121418073622598731245305975206032311983334047358512393902963334698875442479245759393639272759328150951356529431342249<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10267-979

c230

composite cofactor 合成数の残り
11069809822024002807790918920010762835761861593530906057821009685971153255501614651062116961371235295086003427234133709451799992366546067634114306094368888635332860982494198713707160088112573150111542467893138523954732374518785907<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10268-979

c243

composite cofactor 合成数の残り
435914295935024876498670267285621593810882982790748018661902427452666600023057258679860780169849412110984207594229947588221503657599866119241134710277911839816788850144261565328610501108282629061002434238785444261756728855242860040649357183411<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10270-979

c270

composite cofactor 合成数の残り
777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777767<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62400 / 3928Dmitry DomanovNovember 6, 2018 14:59:17 UTC 2018 年 11 月 6 日 (火) 23 時 59 分 17 秒 (日本時間)

7×10273-979

c269

composite cofactor 合成数の残り
72170156609239842050457249492231398142133968430711494643943377357128864969636984112255523594486200035054076067345066138793521181940964811893641809202725969915354716319734413823677997381254317321868588454836946996174981699710288371325765776911735898466899673172290783871<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10275-979

c234

composite cofactor 合成数の残り
105765735926598426905194852717216756967921241262270638232093636224219801415834224632465588503524173202582540197357323990389623302819561823874195193992670962823272166472088520372932274405693996437589208372812284780691572075962418464387<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10276-979

c240

composite cofactor 合成数の残り
925335805449984205169615685548424781820044548090998230121395135561614235436387563924847791755114777871483418074808034348118200810508345457347255106775693981588759336877855761484614499816283782108273637863815879389412395203000629905229503671<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10277-979

c209

composite cofactor 合成数の残り
43895172095041380009296971737390900482814732341823585731579327797360951058576341328313321307978868884683025310865040548318034495291518876467976127935134860679737485243213264120520401398450437145352523857711479<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10279-979

c172

composite cofactor 合成数の残り
8623827772597185947358871578706434937042856458952631943368038808432295822716812742616021501356732668950653154232061639899543595567978749742608083510394169566011241587275731<172>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62000 / 3928Dmitry DomanovNovember 7, 2018 06:17:17 UTC 2018 年 11 月 7 日 (水) 15 時 17 分 17 秒 (日本時間)

7×10280-979

c216

composite cofactor 合成数の残り
154027867856937360978188646458813284627936535290199225937816091902089826888444142861156018178938859656982432276820050401392391849288220725513029388377790295223831306532303887198217356915461243675857306624745268007429<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10281-979

c244

composite cofactor 合成数の残り
8936169070306575294346742673167786021854497394887804439999129006118861765779894616656409034748348755002458318300718781083325856583194719909232134688915620875371024893554704152790182084719481661012658606900785223941090187624783744173740385758551<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10284-979

c259

composite cofactor 合成数の残り
5438406099582418417254646401600767492185164564285879660178730438366980113478855531243550947192542056486249687471928030536608648445157282262242439061708066600962184359859644509426764580431961292774854108596194241957713467252987800778787538745846449650668502657<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10285-979

c284

composite cofactor 合成数の残り
59829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059<284>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10286-979

c255

composite cofactor 合成数の残り
541132498845873316538409837619036877986160924075212507153704907146446924883965114070678596701365449222701264086786309044340589736540018311161604558775725121077424191136547744417633437237815155878199751258542275812631356459062223647719927715619353179294027<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10288-979

c234

composite cofactor 合成数の残り
967286329545802588697732739796589440179825856837248200568861197505893455890832179250082463147642891644538226152845848214254273476610708131416510818282706906942425695821669496612132480944192594816457169920073458179131739182234435722359<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10289-979

c205

composite cofactor 合成数の残り
1227523951139276778340233476166425983347235326737612743526621380579804283391072932001763515830736621098643935497482388925178819083405394936571874294088789413544092071166517588717980431069994128098793821091<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10290-979

c280

composite cofactor 合成数の残り
2564868123995424140765107741012833106067783167025806992635476681491819615795821416374399602260312996436052459083544549306404002182961209632279722727530179857905426327450864970871271045368606579965608786731612300527946027450109104601539325873669408537919124959944568552592545990209<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10291-979

c287

composite cofactor 合成数の残り
14617410170793996838463000202555540938145384761558717092555353000014617410170793996838463000202555540938145384761558717092555353000014617410170793996838463000202555540938145384761558717092555353000014617410170793996838463000202555540938145384761558717092555353000014617410170793996838463<287>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10292-979

c236

composite cofactor 合成数の残り
52280437461486811221529439740368292189309235035481074685866071860935970072981640636649818705509277865578329208327854194533381606415119448204240017457321820830472473105091394232347001211222124129027826870612732666557854245646058587218331<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10295-979

c279

composite cofactor 合成数の残り
153787022353653158250577062683057920668728156369815184267766846508135896939513112834120053308454098792220631861759404710535088722532165828206278241616903361889661370556884295074776897261969460226112605967327312476332683494297834273307529356762188833798597746522889341181984425483<279>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10296-979

c216

composite cofactor 合成数の残り
863370338633754304972004044671479847525135077110105634931254284073474630175998554642669613283048972082702523971167491303225499830982834643535884181509446853402026749484946733956407692811743585368929850071921641782877<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10297-979

c260

composite cofactor 合成数の残り
84214591618088829451785763177419427306133430869802016252562892301676314776995533961659246787506108459824793997167033284645554614256406458175114281890356254997158130929011905288819736927211189460751386112829391950470021974525263888164532365801757797042253043257<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)