Table of contents 目次

67×10105-139

c95

name 名前Erik Branger
date 日付October 29, 2009 16:26:22 UTC 2009 年 10 月 30 日 (金) 1 時 26 分 22 秒 (日本時間)
composite number 合成数
10537217669134653717350764785332255258069098699759163662633735476197589541582812554582281552909<95>
prime factors 素因数
60058359933313649972243137470065257329163<41>
175449640663427204253932925983205548218359311006550343<54>
factorization results 素因数分解の結果
Number: 74443_105
N=10537217669134653717350764785332255258069098699759163662633735476197589541582812554582281552909
  ( 95 digits)
SNFS difficulty: 107 digits.
Divisors found:
 r1=60058359933313649972243137470065257329163 (pp41)
 r2=175449640663427204253932925983205548218359311006550343 (pp54)
Version: Msieve v. 1.43
Total time: 0.80 hours.
Scaled time: 0.63 units (timescale=0.788).
Factorization parameters were as follows:
n: 10537217669134653717350764785332255258069098699759163662633735476197589541582812554582281552909
m: 200000000000000000000000000
deg: 4
c4: 335
c0: -104
skew: 0.75
type: snfs
lss: 1
rlim: 440000
alim: 440000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 440000/440000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [220000, 300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 36011 x 36238
Total sieving time: 0.78 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,107.000,4,0,0,0,0,0,0,0,0,440000,440000,25,25,44,44,2.2,2.2,20000
total time: 0.80 hours.
 --------- CPU info (if available) ----------
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
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

67×10115-139

c104

name 名前Erik Branger
date 日付October 29, 2009 19:44:59 UTC 2009 年 10 月 30 日 (金) 4 時 44 分 59 秒 (日本時間)
composite number 合成数
79702992551973656202412085387411627658370929220796610067063903154859269670308077208497397166333194943299<104>
prime factors 素因数
2363136207298356542813024663867821003977095941<46>
33727633771518272875025217406971537221298425870762282057639<59>
factorization results 素因数分解の結果
Number: 74443_115
N=79702992551973656202412085387411627658370929220796610067063903154859269670308077208497397166333194943299
  ( 104 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=2363136207298356542813024663867821003977095941 (pp46)
 r2=33727633771518272875025217406971537221298425870762282057639 (pp59)
Version: Msieve-1.40
Total time: 1.15 hours.
Scaled time: 1.12 units (timescale=0.969).
Factorization parameters were as follows:
n: 79702992551973656202412085387411627658370929220796610067063903154859269670308077208497397166333194943299
m: 100000000000000000000000
deg: 5
c5: 67
c0: -13
skew: 0.72
type: snfs
lss: 1
rlim: 620000
alim: 620000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 620000/620000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [310000, 510001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 68923 x 69148
Total sieving time: 1.12 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,116.000,5,0,0,0,0,0,0,0,0,620000,620000,25,25,45,45,2.2,2.2,50000
total time: 1.15 hours.
 --------- CPU info (if available) ----------
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
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

67×10123-139

c103

name 名前Erik Branger
date 日付October 29, 2009 21:42:33 UTC 2009 年 10 月 30 日 (金) 6 時 42 分 33 秒 (日本時間)
composite number 合成数
5296116107785180025060234384281114220424865461631383972660953328631925645912935715468651123228597079851<103>
prime factors 素因数
1598370800869751930125360162910027197<37>
3313446482445314661395426297353620629334616744119570057380870392583<67>
factorization results 素因数分解の結果
Number: 74443_123
N=5296116107785180025060234384281114220424865461631383972660953328631925645912935715468651123228597079851
  ( 103 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=1598370800869751930125360162910027197 (pp37)
 r2=3313446482445314661395426297353620629334616744119570057380870392583 (pp67)
Version: Msieve-1.40
Total time: 1.93 hours.
Scaled time: 1.73 units (timescale=0.894).
Factorization parameters were as follows:
n: 5296116107785180025060234384281114220424865461631383972660953328631925645912935715468651123228597079851
m: 5000000000000000000000000
deg: 5
c5: 536
c0: -325
skew: 0.90
type: snfs
lss: 1
rlim: 890000
alim: 890000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 890000/890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [445000, 745001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 120758 x 120983
Total sieving time: 1.83 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,126.000,5,0,0,0,0,0,0,0,0,890000,890000,26,26,46,46,2.3,2.3,50000
total time: 1.93 hours.
 --------- CPU info (if available) ----------
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
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

67×10124-139

c108

name 名前Robert Backstrom
date 日付October 30, 2009 12:46:23 UTC 2009 年 10 月 30 日 (金) 21 時 46 分 23 秒 (日本時間)
composite number 合成数
212474654134304477312475815582067521840594360125311988630953593272073000222223112697185992344600977567593049<108>
prime factors 素因数
18413459563540298067804775297170844243589025668543<50>
11539094725850237919675966907571710452758307093471194899943<59>
factorization results 素因数分解の結果
Number: n
N=212474654134304477312475815582067521840594360125311988630953593272073000222223112697185992344600977567593049
  ( 108 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=18413459563540298067804775297170844243589025668543 (pp50)
 r2=11539094725850237919675966907571710452758307093471194899943 (pp59)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.71 hours.
Scaled time: 3.11 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_7_4_123_3
n: 212474654134304477312475815582067521840594360125311988630953593272073000222223112697185992344600977567593049
m: 10000000000000000000000000
deg: 5
c5: 67
c0: -130
skew: 1.14
type: snfs
lss: 1
rlim: 910000
alim: 910000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
qintsize: 10000
Factor base limits: 910000/910000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [455000, 735001)
Primes: RFBsize:72026, AFBsize:72442, largePrimes:2399626 encountered
Relations: rels:2237187, finalFF:162283
Max relations in full relation-set: 48
Initial matrix: 144533 x 162283 with sparse part having weight 13056975.
Pruned matrix : 138055 x 138841 with weight 8687947.
Total sieving time: 1.51 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.10 hours.
Total square root time: 0.06 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,910000,910000,26,26,46,46,2.3,2.3,50000
total time: 1.71 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
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

67×10125-139

c97

name 名前Sinkiti Sibata
date 日付October 30, 2009 05:50:30 UTC 2009 年 10 月 30 日 (金) 14 時 50 分 30 秒 (日本時間)
composite number 合成数
5713650581068975362283662920696280343317363639223493296916903514253804648431669229237353348818611<97>
prime factors 素因数
3637308040834686028487388657126347<34>
1570845943462575746091980845703965709073524066171708229509776313<64>
factorization results 素因数分解の結果
Number: 74443_125
N=5713650581068975362283662920696280343317363639223493296916903514253804648431669229237353348818611
  ( 97 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=3637308040834686028487388657126347 (pp34)
 r2=1570845943462575746091980845703965709073524066171708229509776313 (pp64)
Version: GGNFS-0.77.1-20060513-k8
Total time: 2.85 hours.
Scaled time: 5.61 units (timescale=1.967).
Factorization parameters were as follows:
name: 74443_125
n: 5713650581068975362283662920696280343317363639223493296916903514253804648431669229237353348818611
m: 10000000000000000000000000
deg: 5
c5: 67
c0: -13
skew: 0.72
type: snfs
lss: 1
rlim: 910000
alim: 910000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 910000/910000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [455000, 705001)
Primes: RFBsize:72026, AFBsize:71722, largePrimes:2409478 encountered
Relations: rels:2267940, finalFF:164897
Max relations in full relation-set: 28
Initial matrix: 143813 x 164897 with sparse part having weight 11603791.
Pruned matrix : 135848 x 136631 with weight 7820050.
Total sieving time: 2.65 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,910000,910000,26,26,46,46,2.3,2.3,50000
total time: 2.85 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

67×10128-139

c109

name 名前Sinkiti Sibata
date 日付October 30, 2009 09:08:10 UTC 2009 年 10 月 30 日 (金) 18 時 8 分 10 秒 (日本時間)
composite number 合成数
1586619915867458882658700891790336634603941150882959229493854020939935382701589118280696639658681911051704291<109>
prime factors 素因数
16848849103457524845559641834441573294541<41>
94167851235718598569337274009848709690744380558238621290057509744751<68>
factorization results 素因数分解の結果
Number: 74443_128
N=1586619915867458882658700891790336634603941150882959229493854020939935382701589118280696639658681911051704291
  ( 109 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=16848849103457524845559641834441573294541 (pp41)
 r2=94167851235718598569337274009848709690744380558238621290057509744751 (pp68)
Version: Msieve-1.40
Total time: 3.09 hours.
Scaled time: 6.24 units (timescale=2.019).
Factorization parameters were as follows:
name: 74443_128
n: 1586619915867458882658700891790336634603941150882959229493854020939935382701589118280696639658681911051704291
m: 50000000000000000000000000
deg: 5
c5: 536
c0: -325
skew: 0.90
type: snfs
lss: 1
rlim: 1080000
alim: 1080000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1080000/1080000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [540000, 940001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 167097 x 167345
Total sieving time: 2.89 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,131.000,5,0,0,0,0,0,0,0,0,1080000,1080000,26,26,47,47,2.3,2.3,50000
total time: 3.09 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--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

67×10135-139

c98

name 名前Sinkiti Sibata
date 日付October 30, 2009 14:34:16 UTC 2009 年 10 月 30 日 (金) 23 時 34 分 16 秒 (日本時間)
composite number 合成数
61610862654629425320461097325772360749579711146654232773145044842857294758491948071998405438013943<98>
prime factors 素因数
209356080628475924973631219217832056833<39>
294287428717985459743101905958444395235619064479793257863671<60>
factorization results 素因数分解の結果
Number: 74443_135
N=61610862654629425320461097325772360749579711146654232773145044842857294758491948071998405438013943
  ( 98 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=209356080628475924973631219217832056833 (pp39)
 r2=294287428717985459743101905958444395235619064479793257863671 (pp60)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 8.70 hours.
Scaled time: 4.09 units (timescale=0.470).
Factorization parameters were as follows:
name: 74443_135
n: 61610862654629425320461097325772360749579711146654232773145044842857294758491948071998405438013943
m: 1000000000000000000000000000
deg: 5
c5: 67
c0: -13
skew: 0.72
type: snfs
lss: 1
rlim: 1340000
alim: 1340000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1340000/1340000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [670000, 1345001)
Primes: RFBsize:102852, AFBsize:102619, largePrimes:3220602 encountered
Relations: rels:3134916, finalFF:237995
Max relations in full relation-set: 28
Initial matrix: 205536 x 237995 with sparse part having weight 19742667.
Pruned matrix : 195806 x 196897 with weight 13765686.
Total sieving time: 7.72 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.78 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1340000,1340000,26,26,48,48,2.3,2.3,75000
total time: 8.70 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
 Pentium 4  2.4.GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

67×10136-139

c108

name 名前Sinkiti Sibata
date 日付October 31, 2009 03:56:30 UTC 2009 年 10 月 31 日 (土) 12 時 56 分 30 秒 (日本時間)
composite number 合成数
695276982096106176900642839859448798309712051367578561086347155086278922700828965871905561126372859625859309<108>
prime factors 素因数
1388497017615733774323439876017921362377077183293<49>
500740709756802603000974713552278904512748721414586970310513<60>
factorization results 素因数分解の結果
Number: 73339_136
N=695276982096106176900642839859448798309712051367578561086347155086278922700828965871905561126372859625859309
  ( 108 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=1388497017615733774323439876017921362377077183293 (pp49)
 r2=500740709756802603000974713552278904512748721414586970310513 (pp60)
Version: GGNFS-0.77.1-20060513-k8
Total time: 9.04 hours.
Scaled time: 17.71 units (timescale=1.960).
Factorization parameters were as follows:
name: 73339_136
n: 695276982096106176900642839859448798309712051367578561086347155086278922700828965871905561126372859625859309
m: 2000000000000000000000000000
deg: 5
c5: 335
c0: -208
skew: 0.91
type: snfs
lss: 1
rlim: 1450000
alim: 1450000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1450000/1450000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [725000, 1550001)
Primes: RFBsize:110630, AFBsize:110649, largePrimes:3508814 encountered
Relations: rels:3522800, finalFF:297635
Max relations in full relation-set: 28
Initial matrix: 221346 x 297635 with sparse part having weight 27324926.
Pruned matrix : 198752 x 199922 with weight 15189467.
Total sieving time: 8.42 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.42 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,139,5,0,0,0,0,0,0,0,0,1450000,1450000,26,26,48,48,2.3,2.3,75000
total time: 9.04 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

67×10138-139

c133

name 名前Sinkiti Sibata
date 日付October 31, 2009 15:10:32 UTC 2009 年 11 月 1 日 (日) 0 時 10 分 32 秒 (日本時間)
composite number 合成数
1208728179276687315532519722159215010787538185662560653123101947219603160827796952356066497585439176861161313922169054418981232294049<133>
prime factors 素因数
42023764615347595396734863188057129653368717733683543157781<59>
28762967581330039305542481296456056372151385010601032288129901194001326429<74>
factorization results 素因数分解の結果
Number: 74443_138
N=1208728179276687315532519722159215010787538185662560653123101947219603160827796952356066497585439176861161313922169054418981232294049
  ( 133 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=42023764615347595396734863188057129653368717733683543157781 (pp59)
 r2=28762967581330039305542481296456056372151385010601032288129901194001326429 (pp74)
Version: GGNFS-0.77.1-20060513-k8
Total time: 10.22 hours.
Scaled time: 19.90 units (timescale=1.948).
Factorization parameters were as follows:
name: 74443_138
n: 1208728179276687315532519722159215010787538185662560653123101947219603160827796952356066497585439176861161313922169054418981232294049
m: 5000000000000000000000000000
deg: 5
c5: 536
c0: -325
skew: 0.90
type: snfs
lss: 1
rlim: 1580000
alim: 1580000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1580000/1580000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [790000, 1690001)
Primes: RFBsize:119758, AFBsize:119698, largePrimes:3701668 encountered
Relations: rels:3802277, finalFF:375456
Max relations in full relation-set: 28
Initial matrix: 239523 x 375456 with sparse part having weight 35117704.
Pruned matrix : 200088 x 201349 with weight 15754132.
Total sieving time: 9.66 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.36 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1580000,1580000,26,26,48,48,2.3,2.3,100000
total time: 10.22 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

67×10139-139

c133

name 名前Sinkiti Sibata
date 日付November 1, 2009 06:32:17 UTC 2009 年 11 月 1 日 (日) 15 時 32 分 17 秒 (日本時間)
composite number 合成数
1865218835922993421448331234781188853794100513820184457837996284378290310404457086842036156287198501190320023140071912983276356048127<133>
prime factors 素因数
2566690768266226258423170836580440422708903717424718866809<58>
726701813472812676847611319548437610784202539957759174853069485338437045303<75>
factorization results 素因数分解の結果
Number: 74443_139
N=1865218835922993421448331234781188853794100513820184457837996284378290310404457086842036156287198501190320023140071912983276356048127
  ( 133 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=2566690768266226258423170836580440422708903717424718866809 (pp58)
 r2=726701813472812676847611319548437610784202539957759174853069485338437045303 (pp75)
Version: Msieve-1.40
Total time: 7.39 hours.
Scaled time: 15.21 units (timescale=2.058).
Factorization parameters were as follows:
name: 74443_139
n: 1865218835922993421448331234781188853794100513820184457837996284378290310404457086842036156287198501190320023140071912983276356048127
m: 10000000000000000000000000000
deg: 5
c5: 67
c0: -130
skew: 1.14
type: snfs
lss: 1
rlim: 1620000
alim: 1620000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1620000/1620000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [810000, 1710001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 241552 x 241791
Total sieving time: 7.01 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1620000,1620000,26,26,48,48,2.3,2.3,100000
total time: 7.39 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

67×10143-139

c95

name 名前juno1369
date 日付October 31, 2009 18:54:45 UTC 2009 年 11 月 1 日 (日) 3 時 54 分 45 秒 (日本時間)
composite number 合成数
10378031596981870252939464149157434908883206662215579250592526126932431653369574440179194656261<95>
prime factors 素因数
240268262875952563650189119243541705525181<42>
43193518248142142096188006740990085557670555853768681<53>
factorization results 素因数分解の結果
Number: 74443_143
N=10378031596981870252939464149157434908883206662215579250592526126932431653369574440179194656261
  ( 95 digits)
Divisors found:
 r1=240268262875952563650189119243541705525181 (pp42)
 r2=43193518248142142096188006740990085557670555853768681 (pp53)
Version: Msieve-1.40
Total time: 4.91 hours.
Scaled time: 8.45 units (timescale=1.720).
Factorization parameters were as follows:
name: 74443_143
n:  10378031596981870252939464149157434908883206662215579250592526126932431653369574440179194656261
m:  4835729701784787971244
deg: 4
c4: 18978720
c3: 78652993
c2: -5560682268093890
c1: 16083300182081943339
c0: -2029851474788969042047
skew: 1635.250
type: gnfs
# adj. I(F,S) = 52.154
# E(F1,F2) = 5.152788e-005
# GGNFS version 0.77.1-20060513-pentium4 polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1256969454.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 2
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 1320001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 159725 x 159954
Total sieving time: 4.71 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,94,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 4.91 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GMP-ECM, Msieve v-1.40, Alpertron ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

67×10144-139

c143

name 名前Serge Batalov
date 日付October 31, 2009 01:41:17 UTC 2009 年 10 月 31 日 (土) 10 時 41 分 17 秒 (日本時間)
composite number 合成数
85568326947637292464878671775223499361430395913154533844189016602809706257982120051085568326947637292464878671775223499361430395913154533844189<143>
prime factors 素因数
43105680901206764377509983041410360068255898727809426039017<59>
1985082364056607809703148754055340488055249934086925223804597770313599535606384757717<85>
factorization results 素因数分解の結果
SNFS difficulty: 146 digits.
Divisors found:
 r1=43105680901206764377509983041410360068255898727809426039017 (pp59)
 r2=1985082364056607809703148754055340488055249934086925223804597770313599535606384757717 (pp85)
Version: Msieve v. 1.44 SVN130
Total time: 5.35 hours.
Scaled time: 12.83 units (timescale=2.400).
Factorization parameters were as follows:
n: 85568326947637292464878671775223499361430395913154533844189016602809706257982120051085568326947637292464878671775223499361430395913154533844189
m: 100000000000000000000000000000
deg: 5
c5: 67
c0: -130
skew: 1.14
type: snfs
lss: 1
rlim: 1960000
alim: 1960000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1960000/1960000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1225000, 2525001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 323954 x 324180
Total sieving time: 5.00 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1960000,1960000,26,26,49,49,2.3,2.3,100000
total time: 5.35 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

67×10145-139

c113

name 名前Sinkiti Sibata
date 日付November 2, 2009 22:38:27 UTC 2009 年 11 月 3 日 (火) 7 時 38 分 27 秒 (日本時間)
composite number 合成数
51706461646177612085086332283137235040364917995490562851942658809349822448855877415760019127537372091318381588963<113>
prime factors 素因数
65531094455743415966066479254851124878135431228183<50>
789037052953505861633524490394443381823848691051577222656720661<63>
factorization results 素因数分解の結果
Number: 74443_145
N=51706461646177612085086332283137235040364917995490562851942658809349822448855877415760019127537372091318381588963
  ( 113 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=65531094455743415966066479254851124878135431228183 (pp50)
 r2=789037052953505861633524490394443381823848691051577222656720661 (pp63)
Version: Msieve-1.40
Total time: 10.81 hours.
Scaled time: 22.61 units (timescale=2.092).
Factorization parameters were as follows:
name: 74443_145
n: 51706461646177612085086332283137235040364917995490562851942658809349822448855877415760019127537372091318381588963
m: 100000000000000000000000000000
deg: 5
c5: 67
c0: -13
skew: 0.72
type: snfs
lss: 1
rlim: 1960000
alim: 1960000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1960000/1960000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [980000, 2280001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 353513 x 353761
Total sieving time: 10.19 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.41 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1960000,1960000,26,26,49,49,2.3,2.3,100000
total time: 10.81 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--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

67×10147-139

c116

name 名前Jo Yeong Uk
date 日付November 6, 2009 07:28:13 UTC 2009 年 11 月 6 日 (金) 16 時 28 分 13 秒 (日本時間)
composite number 合成数
32367108075015143797053757675227277037681912296576239310580627885454876717201364888999929590596992736623682287532619<116>
prime factors 素因数
35712120107599973268429717906238004919995676811669<50>
906333983462578850099373864796225485410057952884119428606963987551<66>
factorization results 素因数分解の結果
Number: 74443_147
N=32367108075015143797053757675227277037681912296576239310580627885454876717201364888999929590596992736623682287532619
  ( 116 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=35712120107599973268429717906238004919995676811669
 r2=906333983462578850099373864796225485410057952884119428606963987551
Version: 
Total time: 8.34 hours.
Scaled time: 19.90 units (timescale=2.385).
Factorization parameters were as follows:
n: 32367108075015143797053757675227277037681912296576239310580627885454876717201364888999929590596992736623682287532619
m: 100000000000000000000000000000
deg: 5
c5: 6700
c0: -13
skew: 0.29
type: snfs
lss: 1
rlim: 3150000
alim: 3150000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 3150000/3150000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1575000, 3150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 7259667
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 442603 x 442851
Total sieving time: 7.15 hours.
Total relation processing time: 0.71 hours.
Matrix solve time: 0.43 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,3150000,3150000,27,27,49,49,2.4,2.4,75000
total time: 8.34 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
754Jo Yeong UkNovember 5, 2009 15:51:03 UTC 2009 年 11 月 6 日 (金) 0 時 51 分 3 秒 (日本時間)

67×10148-139

c108

name 名前Jo Yeong Uk
date 日付October 31, 2009 15:37:33 UTC 2009 年 11 月 1 日 (日) 0 時 37 分 33 秒 (日本時間)
composite number 合成数
298339619588469240853281754870823326690224613752882667372313547932421348293005050207542165389168819270551569<108>
prime factors 素因数
493110501797734488620529137369077<33>
605015749007193241077747897233415261264358597396216286880140160508083364397<75>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 298339619588469240853281754870823326690224613752882667372313547932421348293005050207542165389168819270551569 (108 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3697172534
Step 1 took 3448ms
Step 2 took 3650ms
********** Factor found in step 2: 493110501797734488620529137369077
Found probable prime factor of 33 digits: 493110501797734488620529137369077
Probable prime cofactor 605015749007193241077747897233415261264358597396216286880140160508083364397 has 75 digits
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

67×10152-139

c96

name 名前Sinkiti Sibata
date 日付October 30, 2009 09:55:00 UTC 2009 年 10 月 30 日 (金) 18 時 55 分 0 秒 (日本時間)
composite number 合成数
555685558546057878893653180212330583409127836210597174985850701280488576149477345118354339635537<96>
prime factors 素因数
97221051417449319448358224662337021824557951429<47>
5715691719482093033732344844964775540735095156253<49>
factorization results 素因数分解の結果
Fri Oct 30 14:37:10 2009  Msieve v. 1.40
Fri Oct 30 14:37:10 2009  random seeds: 58df9d7d a63c1257
Fri Oct 30 14:37:10 2009  factoring 555685558546057878893653180212330583409127836210597174985850701280488576149477345118354339635537 (96 digits)
Fri Oct 30 14:37:11 2009  no P-1/P+1/ECM available, skipping
Fri Oct 30 14:37:11 2009  commencing quadratic sieve (96-digit input)
Fri Oct 30 14:37:11 2009  using multiplier of 3
Fri Oct 30 14:37:11 2009  using 32kb Intel Core sieve core
Fri Oct 30 14:37:11 2009  sieve interval: 36 blocks of size 32768
Fri Oct 30 14:37:11 2009  processing polynomials in batches of 6
Fri Oct 30 14:37:11 2009  using a sieve bound of 2299949 (84350 primes)
Fri Oct 30 14:37:11 2009  using large prime bound of 344992350 (28 bits)
Fri Oct 30 14:37:11 2009  using double large prime bound of 2333764230167400 (43-52 bits)
Fri Oct 30 14:37:11 2009  using trial factoring cutoff of 52 bits
Fri Oct 30 14:37:11 2009  polynomial 'A' values have 12 factors
Fri Oct 30 18:38:25 2009  84448 relations (20475 full + 63973 combined from 1281737 partial), need 84446
Fri Oct 30 18:38:26 2009  begin with 1302212 relations
Fri Oct 30 18:38:26 2009  reduce to 222956 relations in 11 passes
Fri Oct 30 18:38:26 2009  attempting to read 222956 relations
Fri Oct 30 18:38:28 2009  recovered 222956 relations
Fri Oct 30 18:38:28 2009  recovered 209931 polynomials
Fri Oct 30 18:38:28 2009  attempting to build 84448 cycles
Fri Oct 30 18:38:28 2009  found 84448 cycles in 5 passes
Fri Oct 30 18:38:28 2009  distribution of cycle lengths:
Fri Oct 30 18:38:28 2009     length 1 : 20475
Fri Oct 30 18:38:28 2009     length 2 : 14393
Fri Oct 30 18:38:28 2009     length 3 : 13940
Fri Oct 30 18:38:28 2009     length 4 : 11339
Fri Oct 30 18:38:28 2009     length 5 : 8544
Fri Oct 30 18:38:28 2009     length 6 : 6044
Fri Oct 30 18:38:28 2009     length 7 : 3948
Fri Oct 30 18:38:28 2009     length 9+: 5765
Fri Oct 30 18:38:28 2009  largest cycle: 20 relations
Fri Oct 30 18:38:28 2009  matrix is 84350 x 84448 (24.0 MB) with weight 5954508 (70.51/col)
Fri Oct 30 18:38:28 2009  sparse part has weight 5954508 (70.51/col)
Fri Oct 30 18:38:29 2009  filtering completed in 3 passes
Fri Oct 30 18:38:29 2009  matrix is 80666 x 80730 (23.1 MB) with weight 5735368 (71.04/col)
Fri Oct 30 18:38:29 2009  sparse part has weight 5735368 (71.04/col)
Fri Oct 30 18:38:29 2009  saving the first 48 matrix rows for later
Fri Oct 30 18:38:29 2009  matrix is 80618 x 80730 (17.1 MB) with weight 4813504 (59.62/col)
Fri Oct 30 18:38:29 2009  sparse part has weight 3986473 (49.38/col)
Fri Oct 30 18:38:29 2009  matrix includes 64 packed rows
Fri Oct 30 18:38:29 2009  using block size 32292 for processor cache size 8192 kB
Fri Oct 30 18:38:29 2009  commencing Lanczos iteration
Fri Oct 30 18:38:29 2009  memory use: 14.9 MB
Fri Oct 30 18:38:53 2009  lanczos halted after 1276 iterations (dim = 80614)
Fri Oct 30 18:38:54 2009  recovered 16 nontrivial dependencies
Fri Oct 30 18:38:55 2009  prp47 factor: 97221051417449319448358224662337021824557951429
Fri Oct 30 18:38:55 2009  prp49 factor: 5715691719482093033732344844964775540735095156253
Fri Oct 30 18:38:55 2009  elapsed time 04:01:45

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

67×10153-139

c142

name 名前Jo Yeong Uk
date 日付November 9, 2009 10:48:03 UTC 2009 年 11 月 9 日 (月) 19 時 48 分 3 秒 (日本時間)
composite number 合成数
8901601645422890581068982807068783308967792576347016429003625587988536935014749786660720721784929209055910888848171892379052067704627089083633<142>
prime factors 素因数
630815937238830387707045431729321900960152842180793375602167922900551<69>
14111250397994772249206335757054905306524045262423288625705324246219742983<74>
factorization results 素因数分解の結果
Number: 74443_153
N=8901601645422890581068982807068783308967792576347016429003625587988536935014749786660720721784929209055910888848171892379052067704627089083633
  ( 142 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=630815937238830387707045431729321900960152842180793375602167922900551
 r2=14111250397994772249206335757054905306524045262423288625705324246219742983
Version: 
Total time: 12.11 hours.
Scaled time: 28.63 units (timescale=2.364).
Factorization parameters were as follows:
n: 8901601645422890581068982807068783308967792576347016429003625587988536935014749786660720721784929209055910888848171892379052067704627089083633
m: 10000000000000000000000000000000
deg: 5
c5: 67
c0: -1300
skew: 1.81
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8501534
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 447986 x 448234
Total sieving time: 11.02 hours.
Total relation processing time: 0.47 hours.
Matrix solve time: 0.42 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 12.11 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

67×10154-139

c153

name 名前Dmitry Domanov
date 日付November 3, 2009 09:02:25 UTC 2009 年 11 月 3 日 (火) 18 時 2 分 25 秒 (日本時間)
composite number 合成数
493009565857247976453274466519499632082413539367181751287711552612214863870493009565857247976453274466519499632082413539367181751287711552612214863870493<153>
prime factors 素因数
5070369631976571758208280028273870693194253729<46>
97233456659265110040429583804655748695553519367231505112386341847877549966443762203651496204999326757169917<107>
factorization results 素因数分解の結果
Number: s153
N=493009565857247976453274466519499632082413539367181751287711552612214863870493009565857247976453274466519499632082413539367181751287711552612214863870493
  ( 153 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=5070369631976571758208280028273870693194253729 (pp46)
 r2=97233456659265110040429583804655748695553519367231505112386341847877549966443762203651496204999326757169917 (pp107)
Version: Msieve-1.40
Total time: 24.90 hours.
Scaled time: 23.25 units (timescale=0.934).
Factorization parameters were as follows:
n: 493009565857247976453274466519499632082413539367181751287711552612214863870493009565857247976453274466519499632082413539367181751287711552612214863870493
m: 10000000000000000000000000000000
deg: 5
c5: 67
c0: -130
skew: 1.14
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 549521 x 549746
Total sieving time: 23.87 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.52 hours.
Time per square root: 0.41 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 24.90 hours.
 --------- CPU info (if available) ----------
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
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

67×10155-139

c122

name 名前Jo Yeong Uk
date 日付November 11, 2009 01:08:41 UTC 2009 年 11 月 11 日 (水) 10 時 8 分 41 秒 (日本時間)
composite number 合成数
11665943720762109867469144547912706865819403378906466080397791627463020253271963189327366442949178885904585225639650117693<122>
prime factors 素因数
4878885565302112410069827574733270111997783354663<49>
2391108289919426790093946899475837566572606524440706754396837686596322811<73>
factorization results 素因数分解の結果
Number: 74443_155
N=11665943720762109867469144547912706865819403378906466080397791627463020253271963189327366442949178885904585225639650117693
  ( 122 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=4878885565302112410069827574733270111997783354663
 r2=2391108289919426790093946899475837566572606524440706754396837686596322811
Version: 
Total time: 11.86 hours.
Scaled time: 28.30 units (timescale=2.387).
Factorization parameters were as follows:
n: 11665943720762109867469144547912706865819403378906466080397791627463020253271963189327366442949178885904585225639650117693
m: 10000000000000000000000000000000
deg: 5
c5: 67
c0: -13
skew: 0.72
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1200000, 2300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8097644
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 498919 x 499167
Total sieving time: 10.82 hours.
Total relation processing time: 0.44 hours.
Matrix solve time: 0.54 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 11.86 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

67×10156-139

c147

name 名前Serge Batalov
date 日付October 30, 2009 09:29:07 UTC 2009 年 10 月 30 日 (金) 18 時 29 分 7 秒 (日本時間)
composite number 合成数
200953653331279028405117565880850193465322542124176976032372823642461344730712226569277355156227016342522897767812396609721211873105197555773791541<147>
prime factors 素因数
134467084183425554399242168453850521<36>
1494444938340149006807751226662925392418214556242644418555585617423575237956535769730952159502701461363114458621<112>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2881240165
Step 1 took 2980ms
********** Factor found in step 1: 134467084183425554399242168453850521
Found probable prime factor of 36 digits: 134467084183425554399242168453850521
Probable prime cofactor has 112 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

67×10158-139

c132

name 名前Sinkiti Sibata
date 日付November 18, 2009 09:42:16 UTC 2009 年 11 月 18 日 (水) 18 時 42 分 16 秒 (日本時間)
composite number 合成数
737068372019091742604361880412597109475278063530233380153041578836135503206432728522468364755483999138828375954292978546680195934921<132>
prime factors 素因数
323406167861964574204330095340435316519039701961176025430412333<63>
2279079514444156964263123471753688115851723190657786980680661703364237<70>
factorization results 素因数分解の結果
Number: 74443_158
N=737068372019091742604361880412597109475278063530233380153041578836135503206432728522468364755483999138828375954292978546680195934921
  ( 132 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=323406167861964574204330095340435316519039701961176025430412333 (pp63)
 r2=2279079514444156964263123471753688115851723190657786980680661703364237 (pp70)
Version: Msieve-1.40
Total time: 27.12 hours.
Scaled time: 89.14 units (timescale=3.287).
Factorization parameters were as follows:
name: 74443_158
n: 737068372019091742604361880412597109475278063530233380153041578836135503206432728522468364755483999138828375954292978546680195934921
m: 50000000000000000000000000000000
deg: 5
c5: 536
c0: -325
skew: 0.90
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 3200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 587928 x 588176
Total sieving time: 26.34 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.64 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 27.12 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--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

67×10160-139

c129

name 名前Jo Yeong Uk
date 日付November 19, 2009 09:00:59 UTC 2009 年 11 月 19 日 (木) 18 時 0 分 59 秒 (日本時間)
composite number 合成数
110334773601330070711761593600846340762094802874387964650626689471684650737015293850889407842085069929569671853321483121928928497<129>
prime factors 素因数
363065558163129755586591876057933957697079245966993<51>
303897660134854542414694170874725162056604936336714237480477623856561460344929<78>
factorization results 素因数分解の結果
Number: 74443_160
N=110334773601330070711761593600846340762094802874387964650626689471684650737015293850889407842085069929569671853321483121928928497
  ( 129 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=363065558163129755586591876057933957697079245966993
 r2=303897660134854542414694170874725162056604936336714237480477623856561460344929
Version: 
Total time: 18.57 hours.
Scaled time: 44.30 units (timescale=2.386).
Factorization parameters were as follows:
n: 110334773601330070711761593600846340762094802874387964650626689471684650737015293850889407842085069929569671853321483121928928497
m: 100000000000000000000000000000000
deg: 5
c5: 67
c0: -13
skew: 0.72
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 3300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9630508
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 632716 x 632964
Total sieving time: 16.59 hours.
Total relation processing time: 0.74 hours.
Matrix solve time: 0.86 hours.
Time per square root: 0.38 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 18.57 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673792)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672346)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672338)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672382)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

67×10161-139

c97

name 名前Serge Batalov
date 日付October 30, 2009 08:11:04 UTC 2009 年 10 月 30 日 (金) 17 時 11 分 4 秒 (日本時間)
composite number 合成数
1996266897868992757552549738754153657998502399209861853961420435782734536701908439293559966652427<97>
prime factors 素因数
2668794540328995477716550306660659<34>
748003215572714369503951702881054047348463244791006660340612553<63>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3974447949
Step 1 took 2048ms
Step 2 took 1480ms
********** Factor found in step 2: 2668794540328995477716550306660659
Found probable prime factor of 34 digits: 2668794540328995477716550306660659
Probable prime cofactor has 63 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

67×10162-139

c155

name 名前Dmitry Domanov
date 日付November 13, 2009 21:52:20 UTC 2009 年 11 月 14 日 (土) 6 時 52 分 20 秒 (日本時間)
composite number 合成数
22122734041943193454188356756799938477403047488699526672317387471683928142875481754603472922346907701289933796334883132221319974580476696915572905405483067<155>
prime factors 素因数
173168441496788451919618027345869704057432823437379661717120302268074707<72>
127752688946810654048296217810573665123434033505277792306486178869161540657839807481<84>
factorization results 素因数分解の結果
Number: s155
N=22122734041943193454188356756799938477403047488699526672317387471683928142875481754603472922346907701289933796334883132221319974580476696915572905405483067
  ( 155 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=173168441496788451919618027345869704057432823437379661717120302268074707 (pp72)
 r2=127752688946810654048296217810573665123434033505277792306486178869161540657839807481 (pp84)
Version: Msieve-1.40
Total time: 42.12 hours.
Scaled time: 78.35 units (timescale=1.860).
Factorization parameters were as follows:
n: 22122734041943193454188356756799938477403047488699526672317387471683928142875481754603472922346907701289933796334883132221319974580476696915572905405483067
m: 500000000000000000000000000000000
deg: 5
c5: 268
c0: -1625
skew: 1.43
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 4450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 794129 x 794355
Total sieving time: 41.11 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.83 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 42.12 hours.
 --------- CPU info (if available) ----------
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
351e6150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiNovember 6, 2009 06:13:49 UTC 2009 年 11 月 6 日 (金) 15 時 13 分 49 秒 (日本時間)

67×10163-139

c163

name 名前Dmitry Domanov
date 日付November 3, 2009 08:49:13 UTC 2009 年 11 月 3 日 (火) 17 時 49 分 13 秒 (日本時間)
composite number 合成数
1731266149870801033591731266149870801033591731266149870801033591731266149870801033591731266149870801033591731266149870801033591731266149870801033591731266149870801<163>
prime factors 素因数
2669049180343301609996606512118950634407146589<46>
648645278858488499280074851252251346928425857765018089955890174635513009455895281838295786860964371014209079639413509<117>
factorization results 素因数分解の結果
Number: s163
N=1731266149870801033591731266149870801033591731266149870801033591731266149870801033591731266149870801033591731266149870801033591731266149870801033591731266149870801
  ( 163 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=2669049180343301609996606512118950634407146589 (pp46)
 r2=648645278858488499280074851252251346928425857765018089955890174635513009455895281838295786860964371014209079639413509 (pp117)
Version: Msieve-1.40
Total time: 36.37 hours.
Scaled time: 66.31 units (timescale=1.823).
Factorization parameters were as follows:
n: 1731266149870801033591731266149870801033591731266149870801033591731266149870801033591731266149870801033591731266149870801033591731266149870801033591731266149870801
m: 500000000000000000000000000000000
deg: 5
c5: 536
c0: -325
skew: 0.90
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 4150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 787813 x 788038
Total sieving time: 35.34 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.76 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,166.000,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 36.37 hours.
 --------- CPU info (if available) ----------
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
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

67×10164-139

c102

name 名前Dmitry Domanov
date 日付October 31, 2009 06:30:54 UTC 2009 年 10 月 31 日 (土) 15 時 30 分 54 秒 (日本時間)
composite number 合成数
963731853407674093877908577792914764065479764108496015908002087521494488533136960353559408101309880833<102>
prime factors 素因数
224280627189667359179586493987006022837<39>
4296991075348987428139366522540260942980725114590177648731306909<64>
factorization results 素因数分解の結果
Number: g102
N=963731853407674093877908577792914764065479764108496015908002087521494488533136960353559408101309880833
  ( 102 digits)
Divisors found:
 r1=224280627189667359179586493987006022837 (pp39)
 r2=4296991075348987428139366522540260942980725114590177648731306909 (pp64)
Version: Msieve-1.40
Total time: 5.24 hours.
Scaled time: 10.31 units (timescale=1.969).
Factorization parameters were as follows:
name: g102
n: 963731853407674093877908577792914764065479764108496015908002087521494488533136960353559408101309880833
skew: 1562.33
# norm 1.03e+014
c5: 1528560
c4: 13594030180
c3: 3000195359306
c2: -30653164647004551
c1: 3594495509332078518
c0: 7733172680002833841155
# alpha -5.72
Y1: 89251703579
Y0: -14452067262770819782
# Murphy_E 2.76e-009
# M 129344431061528792284070628029008878021022211209342795954905427200961353231646508782196747326379618063
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 : 276517 x 276742
Polynomial selection time: 0.50 hours.
Total sieving time: 4.33 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.16 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: 5.24 hours.
 --------- CPU info (if available) ----------
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
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

67×10165-139

c126

name 名前Sinkiti Sibata
date 日付December 3, 2009 11:06:09 UTC 2009 年 12 月 3 日 (木) 20 時 6 分 9 秒 (日本時間)
composite number 合成数
127480109195166678118588816514385867213041373151950439735287023737133488529901544404868525808710084307279871580450709108628301<126>
prime factors 素因数
27450936085202690749136049312900466734576169433<47>
4643925759015711078530301624300186286501864834476494327623680463657883765250197<79>
factorization results 素因数分解の結果
Number: 74443_165
N=127480109195166678118588816514385867213041373151950439735287023737133488529901544404868525808710084307279871580450709108628301
  ( 126 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=27450936085202690749136049312900466734576169433 (pp47)
 r2=4643925759015711078530301624300186286501864834476494327623680463657883765250197 (pp79)
Version: Msieve-1.40
Total time: 43.58 hours.
Scaled time: 146.26 units (timescale=3.356).
Factorization parameters were as follows:
name: 74443_165
n: 127480109195166678118588816514385867213041373151950439735287023737133488529901544404868525808710084307279871580450709108628301
m: 1000000000000000000000000000000000
deg: 5
c5: 67
c0: -13
skew: 0.72
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 817860 x 818108
Total sieving time: 41.98 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.26 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,166.000,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 43.58 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiNovember 16, 2009 00:08:12 UTC 2009 年 11 月 16 日 (月) 9 時 8 分 12 秒 (日本時間)

67×10166-139

c150

name 名前Dmitry Domanov
date 日付December 20, 2009 14:06:52 UTC 2009 年 12 月 20 日 (日) 23 時 6 分 52 秒 (日本時間)
composite number 合成数
809821443644159015473592889696952371909415095654781991402504051499052333199909815633411495946416476907278319907167916022551376537940892055496525849181<150>
prime factors 素因数
17788336493283764799874776176211295255153824486286341342116449<62>
45525417396388831878214850618002065197423668437999160251956317248051096197439673036095869<89>
factorization results 素因数分解の結果
N=809821443644159015473592889696952371909415095654781991402504051499052333199909815633411495946416476907278319907167916022551376537940892055496525849181
  ( 150 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=17788336493283764799874776176211295255153824486286341342116449 (pp62)
 r2=45525417396388831878214850618002065197423668437999160251956317248051096197439673036095869 (pp89)
Version: Msieve-1.40
Total time: 49.67 hours.
Scaled time: 97.21 units (timescale=1.957).
Factorization parameters were as follows:
n: 809821443644159015473592889696952371909415095654781991402504051499052333199909815633411495946416476907278319907167916022551376537940892055496525849181
m: 1000000000000000000000000000000000
deg: 5
c5: 670
c0: -13
skew: 0.45
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2200000, 5000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 780936 x 781162
Total sieving time: 48.68 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.74 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,167.000,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 49.67 hours.
 --------- CPU info (if available) ----------
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
351e6150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
403e60 / 1091--
4511e6353 / 4474Dmitry DomanovNovember 23, 2009 13:08:02 UTC 2009 年 11 月 23 日 (月) 22 時 8 分 2 秒 (日本時間)

67×10168-139

c148

name 名前Dmitry Domanov
date 日付December 23, 2009 13:08:27 UTC 2009 年 12 月 23 日 (水) 22 時 8 分 27 秒 (日本時間)
composite number 合成数
4477956816763840155316795837966177700076915229952603768994579222454907835059410228107125848550858785511065070923028621198385715228005928586658375449<148>
prime factors 素因数
134458719408023859753384075009085595975442745241<48>
33303580730790575224290199066707126131966069352843461148291487710116357017637216068492699986663689089<101>
factorization results 素因数分解の結果
N=4477956816763840155316795837966177700076915229952603768994579222454907835059410228107125848550858785511065070923028621198385715228005928586658375449
  ( 148 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=134458719408023859753384075009085595975442745241 (pp48)
 r2=33303580730790575224290199066707126131966069352843461148291487710116357017637216068492699986663689089 (pp101)
Version: Msieve-1.40
Total time: 74.13 hours.
Scaled time: 69.09 units (timescale=0.932).
Factorization parameters were as follows:
n: 4477956816763840155316795837966177700076915229952603768994579222454907835059410228107125848550858785511065070923028621198385715228005928586658375449
m: 1000000000000000000000000000000000
deg: 5
c5: 67000
c0: -13
skew: 0.18
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2350000, 5350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 977381 x 977607
Total sieving time: 72.12 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.63 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,169.000,5,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.4,2.4,100000
total time: 74.13 hours.
 --------- CPU info (if available) ----------
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
351e6150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiNovember 10, 2009 07:05:25 UTC 2009 年 11 月 10 日 (火) 16 時 5 分 25 秒 (日本時間)

67×10169-139

c107

name 名前Wataru Sakai
date 日付October 31, 2009 06:02:03 UTC 2009 年 10 月 31 日 (土) 15 時 2 分 3 秒 (日本時間)
composite number 合成数
21344940200371128376975388345402235451825891453102879265116882150484306207135199983049226062289399121029069<107>
prime factors 素因数
393857077963053849631651147459903660023143<42>
54194634030097109172706023869603113274357441497744516636274957483<65>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=750763233
Step 1 took 31013ms
Step 2 took 12299ms
********** Factor found in step 2: 393857077963053849631651147459903660023143
Found probable prime factor of 42 digits: 393857077963053849631651147459903660023143
Probable prime cofactor 54194634030097109172706023869603113274357441497744516636274957483 has 65 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

67×10170-139

c154

name 名前Dmitry Domanov
date 日付December 30, 2009 22:18:52 UTC 2009 年 12 月 31 日 (木) 7 時 18 分 52 秒 (日本時間)
composite number 合成数
1248136920572561356733589110572625770668219823650506126585146068257993342568503014723222904261856958487509273732737567918488881897451812046409830138513039<154>
prime factors 素因数
240329602356225977259168586593311145911919203865253<51>
5193438129700409455369680241884056713916918395082916569011128101946280539685325926121981875956486025763<103>
factorization results 素因数分解の結果
N=1248136920572561356733589110572625770668219823650506126585146068257993342568503014723222904261856958487509273732737567918488881897451812046409830138513039
  ( 154 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=240329602356225977259168586593311145911919203865253 (pp51)
 r2=5193438129700409455369680241884056713916918395082916569011128101946280539685325926121981875956486025763 (pp103)
Version: Msieve-1.40
Total time: 87.80 hours.
Scaled time: 82.00 units (timescale=0.934).
Factorization parameters were as follows:
n: 1248136920572561356733589110572625770668219823650506126585146068257993342568503014723222904261856958487509273732737567918488881897451812046409830138513039
m: 10000000000000000000000000000000000
deg: 5
c5: 67
c0: -13
skew: 0.72
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 200000Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 5950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 971055 x 971288
Total sieving time: 85.23 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.88 hours.
Time per square root: 0.52 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 87.80 hours.
 --------- CPU info (if available) ----------
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
351e6150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiNovember 20, 2009 04:17:52 UTC 2009 年 11 月 20 日 (金) 13 時 17 分 52 秒 (日本時間)
4511e60--
5043e61135 / 7465yoyo@homeFebruary 24, 2010 00:45:28 UTC 2010 年 2 月 24 日 (水) 9 時 45 分 28 秒 (日本時間)

67×10171-139

c109

name 名前Jo Yeong Uk
date 日付November 4, 2009 05:20:49 UTC 2009 年 11 月 4 日 (水) 14 時 20 分 49 秒 (日本時間)
composite number 合成数
1516876424646137080131556036817394582794742250003026910441101316886042947544731337541309623794566063964474723<109>
prime factors 素因数
1214668126324414697566041461258645928187122911<46>
1248799068463420195167977322133851867633591392772046781046404093<64>
factorization results 素因数分解の結果
Number: 74443_171
N=1516876424646137080131556036817394582794742250003026910441101316886042947544731337541309623794566063964474723
  ( 109 digits)
Divisors found:
 r1=1214668126324414697566041461258645928187122911
 r2=1248799068463420195167977322133851867633591392772046781046404093
Version: 
Total time: 6.92 hours.
Scaled time: 16.50 units (timescale=2.385).
Factorization parameters were as follows:
name: 74443_171
n: 1516876424646137080131556036817394582794742250003026910441101316886042947544731337541309623794566063964474723
skew: 36638.54
# norm 1.70e+14
c5: 3060
c4: -1398829
c3: -9178005934770
c2: 64214779489920807
c1: 6712137520935301876937
c0: -90999322526528824438261920
# alpha -4.43
Y1: 258078464281
Y0: -869052006919087136947
# Murphy_E 1.27e-09
# M 110391089666132681615043182607453260645570670579022439977078871060208071876625052537906603026807031519173360
type: gnfs
rlim: 2100000
alim: 2100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [1050000, 2100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 7879005
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 383485 x 383733
Polynomial selection time: 0.59 hours.
Total sieving time: 5.13 hours.
Total relation processing time: 0.74 hours.
Matrix solve time: 0.32 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2100000,2100000,27,27,51,51,2.6,2.6,50000
total time: 6.92 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiNovember 1, 2009 07:16:15 UTC 2009 年 11 月 1 日 (日) 16 時 16 分 15 秒 (日本時間)

67×10172-139

c149

name 名前Wataru Sakai
date 日付September 1, 2010 09:23:28 UTC 2010 年 9 月 1 日 (水) 18 時 23 分 28 秒 (日本時間)
composite number 合成数
44422436962676933729186723975835324668453256069034019968166336321833672595163489179412046426591284386457783497710752618800332857293511112959766507429<149>
prime factors 素因数
3778787032248482438899205508182516826008161607002403<52>
11755739760820646015796332135662181911997448684621589891682054735291094736059751232514324955374743<98>
factorization results 素因数分解の結果
Number: 74443_172
N=44422436962676933729186723975835324668453256069034019968166336321833672595163489179412046426591284386457783497710752618800332857293511112959766507429
  ( 149 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=3778787032248482438899205508182516826008161607002403
 r2=11755739760820646015796332135662181911997448684621589891682054735291094736059751232514324955374743
Version: 
Total time: 129.72 hours.
Scaled time: 261.25 units (timescale=2.014).
Factorization parameters were as follows:
n: 44422436962676933729186723975835324668453256069034019968166336321833672595163489179412046426591284386457783497710752618800332857293511112959766507429
m: 10000000000000000000000000000000000
deg: 5
c5: 6700
c0: -13
skew: 0.29
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2750000, 7050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 971897 x 972145
Total sieving time: 129.72 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 129.72 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
351e6150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiDecember 10, 2009 14:37:32 UTC 2009 年 12 月 10 日 (木) 23 時 37 分 32 秒 (日本時間)

67×10173-139

c174

name 名前Dmitry Domanov
date 日付November 1, 2009 21:09:24 UTC 2009 年 11 月 2 日 (月) 6 時 9 分 24 秒 (日本時間)
composite number 合成数
106349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349<174>
prime factors 素因数
3241667577833561934029047613037266732688187964683<49>
32806943894068423044978703902535750856846944093496801328720438946228682490197034377217104129805138286814146349521206468868103<125>
factorization results 素因数分解の結果
Number: s174
N=106349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349
  ( 174 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=3241667577833561934029047613037266732688187964683 (pp49)
 r2=32806943894068423044978703902535750856846944093496801328720438946228682490197034377217104129805138286814146349521206468868103 (pp125)
Version: Msieve-1.40
Total time: 79.24 hours.
Scaled time: 153.25 units (timescale=1.934).
Factorization parameters were as follows:
n: 106349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349
m: 50000000000000000000000000000000000
deg: 5
c5: 536
c0: -325
skew: 0.90
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3050000, 7050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1268890 x 1269119
Total sieving time: 76.92 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.01 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,176.000,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time: 79.24 hours.
 --------- CPU info (if available) ----------
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
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

67×10174-139

c100

name 名前Dmitry Domanov
date 日付October 31, 2009 06:06:01 UTC 2009 年 10 月 31 日 (土) 15 時 6 分 1 秒 (日本時間)
composite number 合成数
5498529142372807175182476307775514287810474350786223541016287633379554796119682890402386436049804553<100>
prime factors 素因数
45447270246285945938556880752125388129671<41>
120987005656784401807364834160943893119911420811939979029743<60>
factorization results 素因数分解の結果
Number: g100
N=5498529142372807175182476307775514287810474350786223541016287633379554796119682890402386436049804553
  ( 100 digits)
Divisors found:
 r1=45447270246285945938556880752125388129671 (pp41)
 r2=120987005656784401807364834160943893119911420811939979029743 (pp60)
Version: Msieve-1.40
Total time: 3.76 hours.
Scaled time: 7.40 units (timescale=1.969).
Factorization parameters were as follows:
name: g100
n: 5498529142372807175182476307775514287810474350786223541016287633379554796119682890402386436049804553
skew: 28871.49
# norm 5.18e+013
c5: 1860
c4: -19207852
c3: -4079387662045
c2: 20205124276853681
c1: 1594619980425421631937
c0: -8929492543484694695004813
# alpha -5.55
Y1: 7628741191
Y0: -19685527873587608852
# Murphy_E 3.35e-009
# M 1964019609939265345418848352462673916351410918179450993688452056155422116082900383504670895533042190
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 : 233609 x 233857
Polynomial selection time: 0.38 hours.
Total sieving time: 3.13 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 3.76 hours.
 --------- CPU info (if available) ----------
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
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

67×10177-139

c152

name 名前Dmitry Domanov
date 日付March 31, 2012 09:48:37 UTC 2012 年 3 月 31 日 (土) 18 時 48 分 37 秒 (日本時間)
composite number 合成数
74781661208277206708815190709358993370099782786499162496443913457483095411231355445564939372537324988828665556766404202715717797914005830709567719362341<152>
prime factors 素因数
7849421274689291644560033787202512323179320034294585435504755756692889927<73>
9527028629411578384992355701103451955727044200192340817248581611446738962719283<79>
factorization results 素因数分解の結果
N=74781661208277206708815190709358993370099782786499162496443913457483095411231355445564939372537324988828665556766404202715717797914005830709567719362341
  ( 152 digits)
SNFS difficulty: 178 digits.
Divisors found:
 r1=7849421274689291644560033787202512323179320034294585435504755756692889927 (pp73)
 r2=9527028629411578384992355701103451955727044200192340817248581611446738962719283 (pp79)
Version: Msieve-1.40
Total time: 115.75 hours.
Scaled time: 228.73 units (timescale=1.976).
Factorization parameters were as follows:
n: 74781661208277206708815190709358993370099782786499162496443913457483095411231355445564939372537324988828665556766404202715717797914005830709567719362341
m: 100000000000000000000000000000000000
deg: 5
c5: 6700
c0: -13
skew: 0.29
type: snfs
lss: 1
rlim: 6700000
alim: 6700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 240000
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3350000, 9110001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1491992 x 1492219
Total sieving time: 112.63 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.34 hours.
Time per square root: 0.63 hours.
Prototype def-par.txt line would be:
snfs,178.000,5,0,0,0,0,0,0,0,0,6700000,6700000,28,28,53,53,2.5,2.5,100000
total time: 115.75 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
351e6450150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 22, 2010 18:52:41 UTC 2010 年 11 月 23 日 (火) 3 時 52 分 41 秒 (日本時間)
403e6110Ignacio SantosNovember 22, 2010 18:52:41 UTC 2010 年 11 月 23 日 (火) 3 時 52 分 41 秒 (日本時間)
4511e61032 / 443532Ignacio SantosNovember 22, 2010 18:52:41 UTC 2010 年 11 月 23 日 (火) 3 時 52 分 41 秒 (日本時間)
600Rich DickersonFebruary 6, 2012 13:08:41 UTC 2012 年 2 月 6 日 (月) 22 時 8 分 41 秒 (日本時間)
400Dmitry DomanovMarch 26, 2012 12:09:07 UTC 2012 年 3 月 26 日 (月) 21 時 9 分 7 秒 (日本時間)

67×10178-139

c159

name 名前Robert Backstrom
date 日付January 21, 2012 21:45:30 UTC 2012 年 1 月 22 日 (日) 6 時 45 分 30 秒 (日本時間)
composite number 合成数
208911644630541771698396818460143581964721518368913288335970445935889961185346046790770903417857897248777410510695500721523849099811019321613043101278665276519<159>
prime factors 素因数
603807215859213873607261862833180913506016081512376917<54>
345990639302416772663960904829122351609265190373168388318688789171913878172826522873838234883267447439307<105>
factorization results 素因数分解の結果
Number: n
N=208911644630541771698396818460143581964721518368913288335970445935889961185346046790770903417857897248777410510695500721523849099811019321613043101278665276519
  ( 159 digits)
SNFS difficulty: 179 digits.
Divisors found:

Sun Jan 22 07:31:35 2012  prp54 factor: 603807215859213873607261862833180913506016081512376917
Sun Jan 22 07:31:35 2012  prp105 factor: 345990639302416772663960904829122351609265190373168388318688789171913878172826522873838234883267447439307
Sun Jan 22 07:31:35 2012  elapsed time 02:35:20 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.658).
Factorization parameters were as follows:
name: KA_74443_178
n: 208911644630541771698396818460143581964721518368913288335970445935889961185346046790770903417857897248777410510695500721523849099811019321613043101278665276519
m: 100000000000000000000000000000000000
deg: 5
c5: 67000
c0: -13
skew: 0.18
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10993905 hash collisions in 76000091 relations
Msieve: matrix is 1205759 x 1205986 (339.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 22, 2010 20:01:48 UTC 2010 年 11 月 23 日 (火) 5 時 1 分 48 秒 (日本時間)
403e6110 / 2117Ignacio SantosNovember 22, 2010 20:01:48 UTC 2010 年 11 月 23 日 (火) 5 時 1 分 48 秒 (日本時間)
4511e632 / 4435Ignacio SantosNovember 22, 2010 20:01:48 UTC 2010 年 11 月 23 日 (火) 5 時 1 分 48 秒 (日本時間)

67×10179-139

c128

name 名前Robert Backstrom
date 日付February 23, 2012 14:07:59 UTC 2012 年 2 月 23 日 (木) 23 時 7 分 59 秒 (日本時間)
composite number 合成数
47063461144640904353130390780356279085839043262574361383332357336159187004247315764585723264307655358723391801239146364541714067<128>
prime factors 素因数
224051912943068505318546533128101333130345016953<48>
210056055877548832092007865893572400124051330350522603903637215036329788516639339<81>
factorization results 素因数分解の結果
Number: n
N=47063461144640904353130390780356279085839043262574361383332357336159187004247315764585723264307655358723391801239146364541714067
  ( 128 digits)
Divisors found:

Fri Feb 24 01:02:37 2012  prp48 factor: 224051912943068505318546533128101333130345016953
Fri Feb 24 01:02:37 2012  prp81 factor: 210056055877548832092007865893572400124051330350522603903637215036329788516639339
Fri Feb 24 01:02:37 2012  elapsed time 01:39:58 (Msieve 1.44 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.652).
Factorization parameters were as follows:
name: KA_74443_179
n: 47063461144640904353130390780356279085839043262574361383332357336159187004247315764585723264307655358723391801239146364541714067
skew: 184583.87
# norm 1.19e+18
c5: 99900
c4: 81704693310
c3: -22369608725285969
c2: -1871645180932542630689
c1: 218842762453169084788702741
c0: 14139071095705799271273745507371
# alpha -6.67
Y1: 26276839345297
Y0: -3424704700745321276924120
# Murphy_E 9.90e-11
# M 6103793004845086593056809685564255709977750037132956550218842361763197866988098875142755066340899746481422156901405687297673562
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 11760000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 2218737 hash collisions in 12397171 relations (10360917 unique)
Msieve: matrix is 859862 x 860087 (249.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,127,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000
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
351e6450150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 22, 2010 20:52:48 UTC 2010 年 11 月 23 日 (火) 5 時 52 分 48 秒 (日本時間)
403e6880110Ignacio SantosNovember 22, 2010 20:52:48 UTC 2010 年 11 月 23 日 (火) 5 時 52 分 48 秒 (日本時間)
770Ignacio SantosJune 26, 2011 10:24:00 UTC 2011 年 6 月 26 日 (日) 19 時 24 分 0 秒 (日本時間)
4511e6252 / 405132Ignacio SantosNovember 22, 2010 20:52:48 UTC 2010 年 11 月 23 日 (火) 5 時 52 分 48 秒 (日本時間)
220Ignacio SantosJune 26, 2011 10:24:00 UTC 2011 年 6 月 26 日 (日) 19 時 24 分 0 秒 (日本時間)
5043e661 / 7461Ignacio SantosJune 26, 2011 10:24:00 UTC 2011 年 6 月 26 日 (日) 19 時 24 分 0 秒 (日本時間)

67×10180-139

c140

name 名前Dmitry Domanov
date 日付March 16, 2012 21:11:02 UTC 2012 年 3 月 17 日 (土) 6 時 11 分 2 秒 (日本時間)
composite number 合成数
55268059084573105626962540725267636075757512985388124952463341420840488714420570049092416638359704117019532114788049716321472661084080127523<140>
prime factors 素因数
251489255444649367039145982188488735517<39>
219763102749083976136569128571303797086629865778103517252004008532816476198298505935112452848684653119<102>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3435790369
Step 1 took 82359ms
Step 2 took 28845ms
********** Factor found in step 2: 251489255444649367039145982188488735517
Found probable prime factor of 39 digits: 251489255444649367039145982188488735517

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 22, 2010 21:47:24 UTC 2010 年 11 月 23 日 (火) 6 時 47 分 24 秒 (日本時間)
403e6110 / 2117Ignacio SantosNovember 22, 2010 21:47:24 UTC 2010 年 11 月 23 日 (火) 6 時 47 分 24 秒 (日本時間)
4511e632 / 4435Ignacio SantosNovember 22, 2010 21:47:24 UTC 2010 年 11 月 23 日 (火) 6 時 47 分 24 秒 (日本時間)

67×10181-139

c161

name 名前Serge Batalov
date 日付October 30, 2009 08:26:43 UTC 2009 年 10 月 30 日 (金) 17 時 26 分 43 秒 (日本時間)
composite number 合成数
38136269287724749300776281371034375756437186789965886425899835651171211478285587766404145670987430209851105034912914622734798679589490243126701492904187711099481<161>
prime factors 素因数
2253776873153776657897948451534279<34>
composite cofactor 合成数の残り
16921049169503429770691052650078474147642338224813289853061010395893828071230552899451200517984291274406940600654599798013769439<128>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=736395422
Step 1 took 3560ms
Step 2 took 2413ms
********** Factor found in step 2: 2253776873153776657897948451534279
Found probable prime factor of 34 digits: 2253776873153776657897948451534279
Composite cofactor has 128 digits

c128

name 名前Wataru Sakai
date 日付November 20, 2009 04:16:44 UTC 2009 年 11 月 20 日 (金) 13 時 16 分 44 秒 (日本時間)
composite number 合成数
16921049169503429770691052650078474147642338224813289853061010395893828071230552899451200517984291274406940600654599798013769439<128>
prime factors 素因数
29200237533398076379310161749061933957963<41>
579483271331262398610183787231750323193470397486915683574230974601792989962677800929853<87>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4221356910
Step 1 took 38433ms
Step 2 took 13993ms
********** Factor found in step 2: 29200237533398076379310161749061933957963
Found probable prime factor of 41 digits: 29200237533398076379310161749061933957963
Probable prime cofactor 579483271331262398610183787231750323193470397486915683574230974601792989962677800929853 has 87 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

67×10182-139

c174

name 名前Robert Backstrom
date 日付January 22, 2012 08:05:52 UTC 2012 年 1 月 22 日 (日) 17 時 5 分 52 秒 (日本時間)
composite number 合成数
698693719104710757956349933106130003245441710679399295180113509650209619060194968457147210579771462805204056484712407221831053329449217779673210784188179921024640445858728591<174>
prime factors 素因数
74216435996206429958145588128777774611232348394845381273788146481885346983494241517<83>
9414272050741219348958081474987775054584910348832481980591566688456782858169198436445766123<91>
factorization results 素因数分解の結果
Number: n
N=698693719104710757956349933106130003245441710679399295180113509650209619060194968457147210579771462805204056484712407221831053329449217779673210784188179921024640445858728591
  ( 174 digits)
SNFS difficulty: 183 digits.
Divisors found:

Sun Jan 22 18:24:56 2012  prp83 factor: 74216435996206429958145588128777774611232348394845381273788146481885346983494241517
Sun Jan 22 18:24:56 2012  prp91 factor: 9414272050741219348958081474987775054584910348832481980591566688456782858169198436445766123
Sun Jan 22 18:24:56 2012  elapsed time 03:38:12 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.657).
Factorization parameters were as follows:
name: KA_74443_182
n: 698693719104710757956349933106130003245441710679399295180113509650209619060194968457147210579771462805204056484712407221831053329449217779673210784188179921024640445858728591
m: 1000000000000000000000000000000000000
deg: 5
c5: 6700
c0: -13
skew: 0.29
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7079233 hash collisions in 79436635 relations
Msieve: matrix is 1260646 x 1260894 (345.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 22, 2010 23:07:24 UTC 2010 年 11 月 23 日 (火) 8 時 7 分 24 秒 (日本時間)
403e6110 / 2117Ignacio SantosNovember 22, 2010 23:07:24 UTC 2010 年 11 月 23 日 (火) 8 時 7 分 24 秒 (日本時間)
4511e632 / 4435Ignacio SantosNovember 22, 2010 23:07:24 UTC 2010 年 11 月 23 日 (火) 8 時 7 分 24 秒 (日本時間)

67×10186-139

c160

name 名前LegionMammal978
date 日付March 5, 2017 01:42:03 UTC 2017 年 3 月 5 日 (日) 10 時 42 分 3 秒 (日本時間)
composite number 合成数
7446103355686026498353177292218630259328965278274794304107405687483390990080066920325765166647281756000199929042852082312123391181974708695214828480647504816363<160>
prime factors 素因数
10156257441353174076861237486553972411356773830557553865193189029346753935289439<80>
733154254771818896159787845918588427626906949707910737558869756038262094141968117<81>
factorization results 素因数分解の結果
Sat Mar  4 16:59:45 2017  Msieve v. 1.53 (SVN Unversioned directory)
Sat Mar  4 16:59:45 2017  random seeds: 89fbe29a 1e2bc5b2
Sat Mar  4 16:59:45 2017  factoring 7446103355686026498353177292218630259328965278274794304107405687483390990080066920325765166647281756000199929042852082312123391181974708695214828480647504816363 (160 digits)
Sat Mar  4 16:59:45 2017  no P-1/P+1/ECM available, skipping
Sat Mar  4 16:59:45 2017  commencing number field sieve (160-digit input)
Sat Mar  4 16:59:45 2017  R0: -10000000000000000000000000000000000000
Sat Mar  4 16:59:45 2017  R1: 1
Sat Mar  4 16:59:45 2017  A0: -13
Sat Mar  4 16:59:45 2017  A1: 0
Sat Mar  4 16:59:45 2017  A2: 0
Sat Mar  4 16:59:45 2017  A3: 0
Sat Mar  4 16:59:45 2017  A4: 0
Sat Mar  4 16:59:45 2017  A5: 670
Sat Mar  4 16:59:45 2017  skew 0.45, size 2.821e-13, alpha 0.931, combined = 3.888e-11 rroots = 1
Sat Mar  4 16:59:45 2017  
Sat Mar  4 16:59:45 2017  commencing relation filtering
Sat Mar  4 16:59:45 2017  estimated available RAM is 15929.4 MB
Sat Mar  4 16:59:45 2017  commencing duplicate removal, pass 1
Sat Mar  4 17:02:25 2017  skipped 2 relations with b > 2^32
Sat Mar  4 17:02:25 2017  found 3380804 hash collisions in 22290040 relations
Sat Mar  4 17:02:44 2017  added 344 free relations
Sat Mar  4 17:02:44 2017  commencing duplicate removal, pass 2
Sat Mar  4 17:02:50 2017  found 3083803 duplicates and 19206581 unique relations
Sat Mar  4 17:02:50 2017  memory use: 98.6 MB
Sat Mar  4 17:02:50 2017  reading ideals above 720000
Sat Mar  4 17:02:50 2017  commencing singleton removal, initial pass
Sat Mar  4 17:04:47 2017  memory use: 689.0 MB
Sat Mar  4 17:04:47 2017  reading all ideals from disk
Sat Mar  4 17:04:47 2017  memory use: 613.3 MB
Sat Mar  4 17:04:48 2017  keeping 21400096 ideals with weight <= 200, target excess is 116222
Sat Mar  4 17:04:48 2017  commencing in-memory singleton removal
Sat Mar  4 17:04:49 2017  begin with 19206581 relations and 21400096 unique ideals
Sat Mar  4 17:04:59 2017  reduce to 7741283 relations and 7582705 ideals in 22 passes
Sat Mar  4 17:04:59 2017  max relations containing the same ideal: 109
Sat Mar  4 17:05:01 2017  removing 217674 relations and 205794 ideals in 11880 cliques
Sat Mar  4 17:05:01 2017  commencing in-memory singleton removal
Sat Mar  4 17:05:01 2017  begin with 7523609 relations and 7582705 unique ideals
Sat Mar  4 17:05:04 2017  reduce to 7518174 relations and 7371460 ideals in 8 passes
Sat Mar  4 17:05:04 2017  max relations containing the same ideal: 106
Sat Mar  4 17:05:06 2017  removing 156033 relations and 144153 ideals in 11880 cliques
Sat Mar  4 17:05:06 2017  commencing in-memory singleton removal
Sat Mar  4 17:05:06 2017  begin with 7362141 relations and 7371460 unique ideals
Sat Mar  4 17:05:10 2017  reduce to 7359279 relations and 7224437 ideals in 9 passes
Sat Mar  4 17:05:10 2017  max relations containing the same ideal: 104
Sat Mar  4 17:05:11 2017  relations with 0 large ideals: 2905
Sat Mar  4 17:05:11 2017  relations with 1 large ideals: 816
Sat Mar  4 17:05:11 2017  relations with 2 large ideals: 15850
Sat Mar  4 17:05:11 2017  relations with 3 large ideals: 126294
Sat Mar  4 17:05:11 2017  relations with 4 large ideals: 548299
Sat Mar  4 17:05:11 2017  relations with 5 large ideals: 1383487
Sat Mar  4 17:05:11 2017  relations with 6 large ideals: 2166227
Sat Mar  4 17:05:11 2017  relations with 7+ large ideals: 3115401
Sat Mar  4 17:05:11 2017  commencing 2-way merge
Sat Mar  4 17:05:14 2017  reduce to 4271293 relation sets and 4136453 unique ideals
Sat Mar  4 17:05:14 2017  ignored 2 oversize relation sets
Sat Mar  4 17:05:14 2017  commencing full merge
Sat Mar  4 17:06:00 2017  memory use: 495.6 MB
Sat Mar  4 17:06:00 2017  found 2180556 cycles, need 2172653
Sat Mar  4 17:06:01 2017  weight of 2172653 cycles is about 152140212 (70.03/cycle)
Sat Mar  4 17:06:01 2017  distribution of cycle lengths:
Sat Mar  4 17:06:01 2017  1 relations: 329444
Sat Mar  4 17:06:01 2017  2 relations: 288912
Sat Mar  4 17:06:01 2017  3 relations: 267039
Sat Mar  4 17:06:01 2017  4 relations: 229815
Sat Mar  4 17:06:01 2017  5 relations: 193273
Sat Mar  4 17:06:01 2017  6 relations: 159359
Sat Mar  4 17:06:01 2017  7 relations: 132247
Sat Mar  4 17:06:01 2017  8 relations: 107043
Sat Mar  4 17:06:01 2017  9 relations: 86732
Sat Mar  4 17:06:01 2017  10+ relations: 378789
Sat Mar  4 17:06:01 2017  heaviest cycle: 28 relations
Sat Mar  4 17:06:01 2017  commencing cycle optimization
Sat Mar  4 17:06:03 2017  start with 12445197 relations
Sat Mar  4 17:06:15 2017  pruned 262508 relations
Sat Mar  4 17:06:15 2017  memory use: 421.1 MB
Sat Mar  4 17:06:15 2017  distribution of cycle lengths:
Sat Mar  4 17:06:15 2017  1 relations: 329444
Sat Mar  4 17:06:15 2017  2 relations: 294842
Sat Mar  4 17:06:15 2017  3 relations: 275757
Sat Mar  4 17:06:15 2017  4 relations: 233771
Sat Mar  4 17:06:15 2017  5 relations: 196061
Sat Mar  4 17:06:15 2017  6 relations: 159982
Sat Mar  4 17:06:15 2017  7 relations: 131958
Sat Mar  4 17:06:15 2017  8 relations: 105623
Sat Mar  4 17:06:15 2017  9 relations: 84937
Sat Mar  4 17:06:15 2017  10+ relations: 360278
Sat Mar  4 17:06:15 2017  heaviest cycle: 28 relations
Sat Mar  4 17:06:17 2017  RelProcTime: 392
Sat Mar  4 17:06:17 2017  elapsed time 00:06:32
Sat Mar 04 17:06:17 2017 LatSieveTime: 1161.23
Sat Mar 04 17:06:17 2017 -> Running matrix solving step ...
Sat Mar 04 17:06:17 2017 -> ./msieve -s 74443_186/74443_186.dat -l 74443_186/74443_186.log -i 74443_186/74443_186.ini -nf 74443_186/74443_186.fb -t 6 -nc2
Sat Mar  4 17:06:17 2017  
Sat Mar  4 17:06:17 2017  
Sat Mar  4 17:06:17 2017  Msieve v. 1.53 (SVN Unversioned directory)
Sat Mar  4 17:06:17 2017  random seeds: 6372bc50 c0e489b3
Sat Mar  4 17:06:17 2017  factoring 7446103355686026498353177292218630259328965278274794304107405687483390990080066920325765166647281756000199929042852082312123391181974708695214828480647504816363 (160 digits)
Sat Mar  4 17:06:18 2017  no P-1/P+1/ECM available, skipping
Sat Mar  4 17:06:18 2017  commencing number field sieve (160-digit input)
Sat Mar  4 17:06:18 2017  R0: -10000000000000000000000000000000000000
Sat Mar  4 17:06:18 2017  R1: 1
Sat Mar  4 17:06:18 2017  A0: -13
Sat Mar  4 17:06:18 2017  A1: 0
Sat Mar  4 17:06:18 2017  A2: 0
Sat Mar  4 17:06:18 2017  A3: 0
Sat Mar  4 17:06:18 2017  A4: 0
Sat Mar  4 17:06:18 2017  A5: 670
Sat Mar  4 17:06:18 2017  skew 0.45, size 2.821e-13, alpha 0.931, combined = 3.888e-11 rroots = 1
Sat Mar  4 17:06:18 2017  
Sat Mar  4 17:06:18 2017  commencing linear algebra
Sat Mar  4 17:06:18 2017  read 2172653 cycles
Sat Mar  4 17:06:21 2017  cycles contain 7167363 unique relations
Sat Mar  4 17:06:54 2017  read 7167363 relations
Sat Mar  4 17:06:59 2017  using 20 quadratic characters above 4294917295
Sat Mar  4 17:07:27 2017  building initial matrix
Sat Mar  4 17:08:08 2017  memory use: 879.9 MB
Sat Mar  4 17:08:09 2017  read 2172653 cycles
Sat Mar  4 17:08:09 2017  matrix is 2172474 x 2172653 (651.7 MB) with weight 192605867 (88.65/col)
Sat Mar  4 17:08:09 2017  sparse part has weight 146931424 (67.63/col)
Sat Mar  4 17:08:19 2017  filtering completed in 2 passes
Sat Mar  4 17:08:20 2017  matrix is 2169860 x 2170039 (651.4 MB) with weight 192511201 (88.71/col)
Sat Mar  4 17:08:20 2017  sparse part has weight 146896956 (67.69/col)
Sat Mar  4 17:08:24 2017  matrix starts at (0, 0)
Sat Mar  4 17:08:24 2017  matrix is 2169860 x 2170039 (651.4 MB) with weight 192511201 (88.71/col)
Sat Mar  4 17:08:24 2017  sparse part has weight 146896956 (67.69/col)
Sat Mar  4 17:08:24 2017  saving the first 48 matrix rows for later
Sat Mar  4 17:08:25 2017  matrix includes 64 packed rows
Sat Mar  4 17:08:25 2017  matrix is 2169812 x 2170039 (618.0 MB) with weight 152991297 (70.50/col)
Sat Mar  4 17:08:25 2017  sparse part has weight 140301379 (64.65/col)
Sat Mar  4 17:08:25 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Sat Mar  4 17:08:30 2017  commencing Lanczos iteration (6 threads)
Sat Mar  4 17:08:30 2017  memory use: 496.7 MB
Sat Mar  4 17:08:35 2017  linear algebra at 0.1%, ETA 1h59m
Sat Mar  4 17:08:37 2017  checkpointing every 1040000 dimensions
Sat Mar  4 19:11:49 2017  lanczos halted after 34317 iterations (dim = 2169808)
Sat Mar  4 19:11:51 2017  recovered 36 nontrivial dependencies
Sat Mar  4 19:11:51 2017  BLanczosTime: 7533
Sat Mar  4 19:11:51 2017  elapsed time 02:05:34
Sat Mar 04 19:11:51 2017 -> Running square root step ...
Sat Mar 04 19:11:51 2017 -> ./msieve -s 74443_186/74443_186.dat -l 74443_186/74443_186.log -i 74443_186/74443_186.ini -nf 74443_186/74443_186.fb -t 6 -nc3
Sat Mar  4 19:11:51 2017  
Sat Mar  4 19:11:51 2017  
Sat Mar  4 19:11:51 2017  Msieve v. 1.53 (SVN Unversioned directory)
Sat Mar  4 19:11:51 2017  random seeds: 6abbd84a 214be416
Sat Mar  4 19:11:51 2017  factoring 7446103355686026498353177292218630259328965278274794304107405687483390990080066920325765166647281756000199929042852082312123391181974708695214828480647504816363 (160 digits)
Sat Mar  4 19:11:52 2017  no P-1/P+1/ECM available, skipping
Sat Mar  4 19:11:52 2017  commencing number field sieve (160-digit input)
Sat Mar  4 19:11:52 2017  R0: -10000000000000000000000000000000000000
Sat Mar  4 19:11:52 2017  R1: 1
Sat Mar  4 19:11:52 2017  A0: -13
Sat Mar  4 19:11:52 2017  A1: 0
Sat Mar  4 19:11:52 2017  A2: 0
Sat Mar  4 19:11:52 2017  A3: 0
Sat Mar  4 19:11:52 2017  A4: 0
Sat Mar  4 19:11:52 2017  A5: 670
Sat Mar  4 19:11:52 2017  skew 0.45, size 2.821e-13, alpha 0.931, combined = 3.888e-11 rroots = 1
Sat Mar  4 19:11:52 2017  
Sat Mar  4 19:11:52 2017  commencing square root phase
Sat Mar  4 19:11:52 2017  reading relations for dependency 1
Sat Mar  4 19:11:52 2017  read 1084841 cycles
Sat Mar  4 19:11:53 2017  cycles contain 3581640 unique relations
Sat Mar  4 19:12:12 2017  read 3581640 relations
Sat Mar  4 19:12:22 2017  multiplying 3581640 relations
Sat Mar  4 19:14:07 2017  multiply complete, coefficients have about 112.47 million bits
Sat Mar  4 19:14:08 2017  initial square root is modulo 118184581
Sat Mar  4 19:16:27 2017  Newton iteration failed to converge
Sat Mar  4 19:16:27 2017  algebraic square root failed
Sat Mar  4 19:16:27 2017  reading relations for dependency 2
Sat Mar  4 19:16:27 2017  read 1086152 cycles
Sat Mar  4 19:16:28 2017  cycles contain 3585494 unique relations
Sat Mar  4 19:16:47 2017  read 3585494 relations
Sat Mar  4 19:16:58 2017  multiplying 3585494 relations
Sat Mar  4 19:18:47 2017  multiply complete, coefficients have about 112.59 million bits
Sat Mar  4 19:18:47 2017  initial square root is modulo 120535271
Sat Mar  4 19:21:08 2017  sqrtTime: 556
Sat Mar  4 19:21:08 2017  p80 factor: 10156257441353174076861237486553972411356773830557553865193189029346753935289439
Sat Mar  4 19:21:08 2017  p81 factor: 733154254771818896159787845918588427626906949707910737558869756038262094141968117
Sat Mar  4 19:21:08 2017  elapsed time 00:09:17
software ソフトウェア
Msieve 1.53 snfs
execution environment 実行環境
64-bit Ubuntu 16.04.1 LTS, Core i7-2600K 3.4GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 23, 2010 00:30:17 UTC 2010 年 11 月 23 日 (火) 9 時 30 分 17 秒 (日本時間)
403e61110110Ignacio SantosNovember 23, 2010 00:30:17 UTC 2010 年 11 月 23 日 (火) 9 時 30 分 17 秒 (日本時間)
100Dmitry DomanovMarch 17, 2012 11:17:15 UTC 2012 年 3 月 17 日 (土) 20 時 17 分 15 秒 (日本時間)
900Dmitry DomanovMarch 17, 2012 11:17:25 UTC 2012 年 3 月 17 日 (土) 20 時 17 分 25 秒 (日本時間)
4511e6432 / 351332Ignacio SantosNovember 23, 2010 00:30:17 UTC 2010 年 11 月 23 日 (火) 9 時 30 分 17 秒 (日本時間)
400Dmitry DomanovMarch 17, 2012 11:17:25 UTC 2012 年 3 月 17 日 (土) 20 時 17 分 25 秒 (日本時間)
5043e6200 / 7412Dmitry DomanovMarch 19, 2012 20:48:41 UTC 2012 年 3 月 20 日 (火) 5 時 48 分 41 秒 (日本時間)

67×10189-139

c160

composite cofactor 合成数の残り
1378354456523891081474043202920380407780331656629833104986320935953407353555061719843737712220473770283495862781865818675757637470892865280800980606374756963463<160>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 23, 2010 05:38:49 UTC 2010 年 11 月 23 日 (火) 14 時 38 分 49 秒 (日本時間)
403e61110110Ignacio SantosNovember 23, 2010 05:38:49 UTC 2010 年 11 月 23 日 (火) 14 時 38 分 49 秒 (日本時間)
1000Dmitry DomanovMarch 17, 2012 11:17:42 UTC 2012 年 3 月 17 日 (土) 20 時 17 分 42 秒 (日本時間)
4511e6432 / 351332Ignacio SantosNovember 23, 2010 05:38:49 UTC 2010 年 11 月 23 日 (火) 14 時 38 分 49 秒 (日本時間)
400Dmitry DomanovMarch 17, 2012 11:17:42 UTC 2012 年 3 月 17 日 (土) 20 時 17 分 42 秒 (日本時間)
5043e6200 / 7412Dmitry DomanovMarch 19, 2012 20:48:55 UTC 2012 年 3 月 20 日 (火) 5 時 48 分 55 秒 (日本時間)

67×10190-139

c189

name 名前Dmitry Domanov
date 日付November 24, 2009 17:13:04 UTC 2009 年 11 月 25 日 (水) 2 時 13 分 4 秒 (日本時間)
composite number 合成数
543390105433901054339010543390105433901054339010543390105433901054339010543390105433901054339010543390105433901054339010543390105433901054339010543390105433901054339010543390105433901054339<189>
prime factors 素因数
1071541119796023713943872177373953979517368086289326500970465961839<67>
507110828875460829568417893845099794914673688551241728438396231258250485605676876586330307290817717364311369996839606707501<123>
factorization results 素因数分解の結果
N=543390105433901054339010543390105433901054339010543390105433901054339010543390105433901054339010543390105433901054339010543390105433901054339010543390105433901054339010543390105433901054339
  ( 189 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=1071541119796023713943872177373953979517368086289326500970465961839 (pp67)
 r2=507110828875460829568417893845099794914673688551241728438396231258250485605676876586330307290817717364311369996839606707501 (pp123)
Version: Msieve-1.40
Total time: 365.07 hours.
Scaled time: 701.66 units (timescale=1.922).
Factorization parameters were as follows:
n: 543390105433901054339010543390105433901054339010543390105433901054339010543390105433901054339010543390105433901054339010543390105433901054339010543390105433901054339010543390105433901054339
m: 100000000000000000000000000000000000000
deg: 5
c5: 67
c0: -13
skew: 0.72
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5500000, 11300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1986673 x 1986899
Total sieving time: 359.24 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 5.10 hours.
Time per square root: 0.49 hours.
Prototype def-par.txt line would be:
snfs,191.000,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,54,54,2.5,2.5,100000
total time: 365.07 hours.
 --------- CPU info (if available) ----------
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
351e6150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
403e6681 / 2310Wataru SakaiNovember 10, 2009 07:07:11 UTC 2009 年 11 月 10 日 (火) 16 時 7 分 11 秒 (日本時間)

67×10191-139

c183

name 名前matsui
date 日付February 3, 2011 11:17:31 UTC 2011 年 2 月 3 日 (木) 20 時 17 分 31 秒 (日本時間)
composite number 合成数
105291190662694412297130621323365288832379836041003894677784643657598350932162843187830203478114863056880587162027427122506376192847535099641053767871204285466356233330206073393419413<183>
prime factors 素因数
100709134566985426448108157647875015889664610256009<51>
177722498837982746596886713623655117288822022246967401<54>
5882755004676622789630435303860356057492912715379814595608311850279722947752357<79>
factorization results 素因数分解の結果
N=105291190662694412297130621323365288832379836041003894677784643657598350932162843187830203478114863056880587162027427122506376192847535099641053767871204285466356233330206073393419413
  ( 183 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=100709134566985426448108157647875015889664610256009 (pp51)
 r2=177722498837982746596886713623655117288822022246967401 (pp54)
 r3=5882755004676622789630435303860356057492912715379814595608311850279722947752357 (pp79)
Version: Msieve v. 1.48
Total time:
Scaled time: 24.91 units (timescale=0.449).
Factorization parameters were as follows:
n: 105291190662694412297130621323365288832379836041003894677784643657598350932162843187830203478114863056880587162027427122506376192847535099641053767871204285466356233330206073393419413
m: 100000000000000000000000000000000000000
deg: 5
c5: 670
c0: -13
skew: 0.45
type: snfs
lss: 1
rlim: 11500000
alim: 11500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 11500000/11500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5750000, 21750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2528425 x 2528651
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,192.000,5,0,0,0,0,0,0,0,0,11500000,11500000,28,28,55,55,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 23, 2010 12:00:39 UTC 2010 年 11 月 23 日 (火) 21 時 0 分 39 秒 (日本時間)
403e6110 / 2117Ignacio SantosNovember 23, 2010 12:00:39 UTC 2010 年 11 月 23 日 (火) 21 時 0 分 39 秒 (日本時間)
4511e632 / 4435Ignacio SantosNovember 23, 2010 12:00:39 UTC 2010 年 11 月 23 日 (火) 21 時 0 分 39 秒 (日本時間)

67×10192-139

c191

name 名前Dmitry Domanov
date 日付December 3, 2009 13:49:29 UTC 2009 年 12 月 3 日 (木) 22 時 49 分 29 秒 (日本時間)
composite number 合成数
43534762833008447043534762833008447043534762833008447043534762833008447043534762833008447043534762833008447043534762833008447043534762833008447043534762833008447043534762833008447043534762833<191>
prime factors 素因数
787727404219372459895283453175496131491118165296769<51>
55266279425876806713988680815949088304298679361056635098361971746667025608752182148801770835356409734239678567210927995967156095265795663057<140>
factorization results 素因数分解の結果
N=43534762833008447043534762833008447043534762833008447043534762833008447043534762833008447043534762833008447043534762833008447043534762833008447043534762833008447043534762833008447043534762833
  ( 191 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=787727404219372459895283453175496131491118165296769 (pp51)
 r2=55266279425876806713988680815949088304298679361056635098361971746667025608752182148801770835356409734239678567210927995967156095265795663057 (pp140)
Version: Msieve-1.40
Total time: 559.66 hours.
Scaled time: 1017.47 units (timescale=1.818).
Factorization parameters were as follows:
n: 43534762833008447043534762833008447043534762833008447043534762833008447043534762833008447043534762833008447043534762833008447043534762833008447043534762833008447043534762833008447043534762833
m: 500000000000000000000000000000000000000
deg: 5
c5: 268
c0: -1625
skew: 1.43
type: snfs
lss: 1
rlim: 12900000
alim: 12900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5Factor base limits: 12900000/12900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6450000, 15050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2349315 x 2349540
Total sieving time: 550.85 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 7.58 hours.
Time per square root: 0.97 hours.
Prototype def-par.txt line would be:
snfs,195.000,5,0,0,0,0,0,0,0,0,12900000,12900000,28,28,55,55,2.5,2.5,100000
total time: 559.66 hours.
 --------- CPU info (if available) ----------
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
351e6150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiNovember 4, 2009 12:19:01 UTC 2009 年 11 月 4 日 (水) 21 時 19 分 1 秒 (日本時間)

67×10193-139

c146

composite cofactor 合成数の残り
12349510596479006896020547255269935424544699694611901674337956292006415310248126601174359786286480383576170221415943861201298647248493193738824941<146>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 23, 2010 12:01:15 UTC 2010 年 11 月 23 日 (火) 21 時 1 分 15 秒 (日本時間)
403e61110110Ignacio SantosNovember 23, 2010 12:01:15 UTC 2010 年 11 月 23 日 (火) 21 時 1 分 15 秒 (日本時間)
1000Dmitry DomanovMarch 17, 2012 11:17:55 UTC 2012 年 3 月 17 日 (土) 20 時 17 分 55 秒 (日本時間)
4511e6432 / 351332Ignacio SantosNovember 23, 2010 12:01:15 UTC 2010 年 11 月 23 日 (火) 21 時 1 分 15 秒 (日本時間)
400Dmitry DomanovMarch 17, 2012 11:17:55 UTC 2012 年 3 月 17 日 (土) 20 時 17 分 55 秒 (日本時間)
5043e6200 / 7412Dmitry DomanovMarch 19, 2012 20:49:14 UTC 2012 年 3 月 20 日 (火) 5 時 49 分 14 秒 (日本時間)

67×10195-139

c105

name 名前Serge Batalov
date 日付October 30, 2009 09:29:50 UTC 2009 年 10 月 30 日 (金) 18 時 29 分 50 秒 (日本時間)
composite number 合成数
944347515908776875670769735115451773856905764119328295882604438392178884122426132146315273138816125956033<105>
prime factors 素因数
123426397951350582174645249823462411<36>
7651098400206075515266178289261247157235344735713694647781980737240803<70>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=26946518
Step 1 took 2156ms
Step 2 took 1684ms
********** Factor found in step 2: 123426397951350582174645249823462411
Found probable prime factor of 36 digits: 123426397951350582174645249823462411
Probable prime cofactor has 70 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

67×10196-139

c190

name 名前Ignacio Santos
date 日付August 30, 2010 12:06:52 UTC 2010 年 8 月 30 日 (月) 21 時 6 分 52 秒 (日本時間)
composite number 合成数
2270236919858024262347250200774501151608173317801795461256284121682083049312293902513309153819234987557729371786172564984456009708996863864223188306295607894952871287735272403000341047188389<190>
prime factors 素因数
930542957709822670301128555420037875410532029386334488084474939388671<69>
2439690614010285347849738803012807448014952267784865398759088726778629123011039667803922559652226512553769660098585920859<121>
factorization results 素因数分解の結果
Number: 7
N=2270236919858024262347250200774501151608173317801795461256284121682083049312293902513309153819234987557729371786172564984456009708996863864223188306295607894952871287735272403000341047188389
  ( 190 digits)
SNFS difficulty: 197 digits.
Divisors found:
 r1=930542957709822670301128555420037875410532029386334488084474939388671 (pp69)
 r2=2439690614010285347849738803012807448014952267784865398759088726778629123011039667803922559652226512553769660098585920859 (pp121)
Version: Msieve-1.40
Total time: 598.29 hours.
Scaled time: 1040.42 units (timescale=1.739).
Factorization parameters were as follows:
n: 2270236919858024262347250200774501151608173317801795461256284121682083049312293902513309153819234987557729371786172564984456009708996863864223188306295607894952871287735272403000341047188389
m: 1000000000000000000000000000000000000000
deg: 5
c5: 670
c0: -13
skew: 0.45
type: snfs
lss: 1
rlim: 13900000
alim: 13900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6950000, 16150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2740211 x 2740435
Total sieving time: 582.18 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 13.27 hours.
Time per square root: 2.51 hours.
Prototype def-par.txt line would be:
snfs,197.000,5,0,0,0,0,0,0,0,0,13900000,13900000,28,28,55,55,2.5,2.5,100000
total time: 598.29 hours.
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
351e6450150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 21, 2010 15:07:17 UTC 2010 年 6 月 22 日 (火) 0 時 7 分 17 秒 (日本時間)
403e62420110Ignacio SantosJune 21, 2010 15:07:17 UTC 2010 年 6 月 22 日 (火) 0 時 7 分 17 秒 (日本時間)
2310Wataru SakaiJune 22, 2010 06:18:40 UTC 2010 年 6 月 22 日 (火) 15 時 18 分 40 秒 (日本時間)
4511e632 / 3925Ignacio SantosJune 21, 2010 15:07:17 UTC 2010 年 6 月 22 日 (火) 0 時 7 分 17 秒 (日本時間)

67×10202-139

c173

composite cofactor 合成数の残り
55083181066290539533199966881513727272255036014111050675813662689104130403555179618231099440360917027084262661396452359419033884212123493827820540899408281823969579569204571<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2012 02:00:00 UTC 2012 年 3 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 17, 2012 11:18:11 UTC 2012 年 3 月 17 日 (土) 20 時 18 分 11 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovMarch 17, 2012 11:18:11 UTC 2012 年 3 月 17 日 (土) 20 時 18 分 11 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 19, 2012 20:49:29 UTC 2012 年 3 月 20 日 (火) 5 時 49 分 29 秒 (日本時間)

67×10203-139

c174

name 名前Serge Batalov
date 日付March 4, 2012 08:46:30 UTC 2012 年 3 月 4 日 (日) 17 時 46 分 30 秒 (日本時間)
composite number 合成数
450506814823960455525259444607652605981750736582141611432424857420621178560318001787842201293448838263826467718328852822330575325676823869889195851846749292134517149200056103<174>
prime factors 素因数
2244202858183392904869984245027<31>
composite cofactor 合成数の残り
200742465495579415952808021093970534657080869491005282552848597339277068291182304870261901956191166351210815089744953546561484854083877691398189<144>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=584030513
Step 1 took 5464ms
Step 2 took 3776ms
********** Factor found in step 2: 2244202858183392904869984245027
Found probable prime factor of 31 digits: 2244202858183392904869984245027
Composite cofactor 200742465495... has 144 digits

c144

name 名前Dmitry Domanov
date 日付March 15, 2012 10:05:26 UTC 2012 年 3 月 15 日 (木) 19 時 5 分 26 秒 (日本時間)
composite number 合成数
200742465495579415952808021093970534657080869491005282552848597339277068291182304870261901956191166351210815089744953546561484854083877691398189<144>
prime factors 素因数
228040634217200187012135197341872395219<39>
10363225992995121481713996621531381437300147466266699<53>
84943870249366235585234005986487834502237736647936669<53>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2999093936
Step 1 took 22061ms
Step 2 took 8686ms
********** Factor found in step 2: 228040634217200187012135197341872395219
Found probable prime factor of 39 digits: 228040634217200187012135197341872395219
Composite cofactor 880292524113837164169163186286274808536513638254940732200957570213838183431867946216579180455098815685631 has 105 digits

N=880292524113837164169163186286274808536513638254940732200957570213838183431867946216579180455098815685631
  ( 105 digits)
Divisors found:
 r1=10363225992995121481713996621531381437300147466266699 (pp53)
 r2=84943870249366235585234005986487834502237736647936669 (pp53)
Version: Msieve-1.40
Total time: 7.79 hours.
Scaled time: 14.80 units (timescale=1.899).
Factorization parameters were as follows:
name: 105
n: 880292524113837164169163186286274808536513638254940732200957570213838183431867946216579180455098815685631
skew: 6166.57
# norm 5.85e+014
c5: 258120
c4: -4049070058
c3: -59870522149522
c2: 224673112764567335
c1: 314356299192074944220
c0: -3188532546173732768340
# alpha -6.17
Y1: 184313701289
Y0: -80642537671834238411
# Murphy_E 1.89e-009
# M 776463513116114932148704738290575408695415749302727605388632003641806104558654724706550006615313308549439
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 277020 x 277249
Polynomial selection time: 0.74 hours.
Total sieving time: 6.75 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
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
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2012 02:00:00 UTC 2012 年 3 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)

67×10205-139

c201

name 名前Robert Backstrom
date 日付September 17, 2012 07:47:49 UTC 2012 年 9 月 17 日 (月) 16 時 47 分 49 秒 (日本時間)
composite number 合成数
132228377749240130878464161471768945316855703907901158695565079945869254553639428212917686256004796535063906764389358496985686376786538598548921835464085095079111054272644257706398136487710359067146557<201>
prime factors 素因数
4698749474300724874221498200383837311536567495831136901399997767053212128419928343184570967663<94>
28141184898758315155353001179921885278739504353215107041432995041094540461256915058595115159324652000497939<107>
factorization results 素因数分解の結果
Number: n
N=132228377749240130878464161471768945316855703907901158695565079945869254553639428212917686256004796535063906764389358496985686376786538598548921835464085095079111054272644257706398136487710359067146557
  ( 201 digits)
SNFS difficulty: 206 digits.
Divisors found:

Mon Sep 17 17:39:20 2012  prp94 factor: 4698749474300724874221498200383837311536567495831136901399997767053212128419928343184570967663
Mon Sep 17 17:39:20 2012  prp107 factor: 28141184898758315155353001179921885278739504353215107041432995041094540461256915058595115159324652000497939
Mon Sep 17 17:39:20 2012  elapsed time 10:47:25 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.087).
Factorization parameters were as follows:
name: KA_74443_205
n: 132228377749240130878464161471768945316855703907901158695565079945869254553639428212917686256004796535063906764389358496985686376786538598548921835464085095079111054272644257706398136487710359067146557
m: 100000000000000000000000000000000000000000
#  c201, diff: 206.83
skew: 0.72
deg: 5
c5: 67
c0: -13
# Murphy_E = 7.847e-12
type: snfs
lss: 1
rlim: 19600000
alim: 19600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 19600000/19600000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 36400000)
Primes: RFBsize:1246718, AFBsize:1245766,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9929245 hash collisions in 60057584 relations (51978024 unique)
Msieve: matrix is 2641463 x 2641688 (745.3 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19600000,19600000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830713)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830455)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.15 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61022118Makoto KamadaMarch 4, 2012 02:00:00 UTC 2012 年 3 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
904RobertSMarch 7, 2012 20:40:18 UTC 2012 年 3 月 8 日 (木) 5 時 40 分 18 秒 (日本時間)
403e61000Dmitry DomanovMarch 17, 2012 11:18:33 UTC 2012 年 3 月 17 日 (土) 20 時 18 分 33 秒 (日本時間)
4511e6400 / 4212Dmitry DomanovMarch 17, 2012 11:18:33 UTC 2012 年 3 月 17 日 (土) 20 時 18 分 33 秒 (日本時間)

67×10206-139

c185

composite cofactor 合成数の残り
23281378474647670864270418909733519641514121308601287140996217316136801987720673665585264895581831568292743308341660954868315783664267572656896099695801384916556053919386909570875363659<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2012 02:00:00 UTC 2012 年 3 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 17, 2012 11:18:49 UTC 2012 年 3 月 17 日 (土) 20 時 18 分 49 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 17, 2012 11:18:49 UTC 2012 年 3 月 17 日 (土) 20 時 18 分 49 秒 (日本時間)

67×10207-139

c144

name 名前Dmitry Domanov
date 日付March 17, 2012 10:16:57 UTC 2012 年 3 月 17 日 (土) 19 時 16 分 57 秒 (日本時間)
composite number 合成数
347342738070317207800043516216445168413000231934535127369370434688596067588470841840091596329588858303158438705425075523604765125049731921941659<144>
prime factors 素因数
9588112528181676838784363304970973008319<40>
36226393573229005300541576548889708254324154742285281062900882928336177953884081340401885893327675341861<104>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2987756641
Step 1 took 82545ms
Step 2 took 29030ms
********** Factor found in step 2: 9588112528181676838784363304970973008319
Found probable prime factor of 40 digits: 9588112528181676838784363304970973008319

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61022118Makoto KamadaMarch 4, 2012 02:00:00 UTC 2012 年 3 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
904RobertSMarch 7, 2012 21:10:01 UTC 2012 年 3 月 8 日 (木) 6 時 10 分 1 秒 (日本時間)

67×10208-139

c173

composite cofactor 合成数の残り
32585528175485507464291355147658924748643428762685016540683457365668585887927170409815832919736114333662651867085816766330581043783897207253260008440065485403356745222586877<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2012 02:00:00 UTC 2012 年 3 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 17, 2012 11:19:13 UTC 2012 年 3 月 17 日 (土) 20 時 19 分 13 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovMarch 17, 2012 11:19:13 UTC 2012 年 3 月 17 日 (土) 20 時 19 分 13 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 19, 2012 20:50:08 UTC 2012 年 3 月 20 日 (火) 5 時 50 分 8 秒 (日本時間)

67×10209-139

c201

name 名前Dmitry Domanov
date 日付March 15, 2012 07:05:07 UTC 2012 年 3 月 15 日 (木) 16 時 5 分 7 秒 (日本時間)
composite number 合成数
113145180054743875819661644946656510674921212996584907434193951801240875169539589643622513807588328991098528523397501870477571310775762081010735496246219032183238383621584470569254805728128556921858061<201>
prime factors 素因数
3370517341584316707729335250642600275429977<43>
composite cofactor 合成数の残り
33569084086527742070065954091775721272771755396314665517820689243688868243827183637026309517167998857686917623340698656352390109793347239532495466759283092693<158>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3996926819
Step 1 took 37634ms
Step 2 took 12756ms
********** Factor found in step 2: 3370517341584316707729335250642600275429977
Found probable prime factor of 43 digits: 3370517341584316707729335250642600275429977

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2012 02:00:00 UTC 2012 年 3 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 17, 2012 11:19:25 UTC 2012 年 3 月 17 日 (土) 20 時 19 分 25 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovMarch 17, 2012 11:19:25 UTC 2012 年 3 月 17 日 (土) 20 時 19 分 25 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 19, 2012 20:50:25 UTC 2012 年 3 月 20 日 (火) 5 時 50 分 25 秒 (日本時間)

67×10211-139

c190

composite cofactor 合成数の残り
6650525539656595292972927130387064170910037869857229666687831807643766331592109356978468782799550951048706593597807290939982436589973978077205311820426149761335842536196135329282794401358793<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2012 02:00:00 UTC 2012 年 3 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 17, 2012 11:19:40 UTC 2012 年 3 月 17 日 (土) 20 時 19 分 40 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 17, 2012 11:19:40 UTC 2012 年 3 月 17 日 (土) 20 時 19 分 40 秒 (日本時間)

67×10212-139

c202

composite cofactor 合成数の残り
1376335730478209981439127828225348766168090354320289378698640968435764450495387975645193430591857550828375923438838777642647997098389205275020458783873953361930357876457438612365188606174119633760124249<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2012 02:00:00 UTC 2012 年 3 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 17, 2012 11:19:52 UTC 2012 年 3 月 17 日 (土) 20 時 19 分 52 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 17, 2012 11:19:52 UTC 2012 年 3 月 17 日 (土) 20 時 19 分 52 秒 (日本時間)

67×10215-139

c167

composite cofactor 合成数の残り
18021077420783490919591802104713841838245077682905765263876532837855685042908040026236231662683919913864773587870967360955937350988943820100491425628574093831878647501<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2012 02:00:00 UTC 2012 年 3 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 17, 2012 11:20:05 UTC 2012 年 3 月 17 日 (土) 20 時 20 分 5 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovMarch 17, 2012 11:20:05 UTC 2012 年 3 月 17 日 (土) 20 時 20 分 5 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 19, 2012 20:50:50 UTC 2012 年 3 月 20 日 (火) 5 時 50 分 50 秒 (日本時間)

67×10216-139

c200

name 名前Dmitry Domanov
date 日付March 15, 2012 13:26:46 UTC 2012 年 3 月 15 日 (木) 22 時 26 分 46 秒 (日本時間)
composite number 合成数
40098078832731484090326717976141172231872717955221364979850846221560607028400508093785409558712802223954043964889605160952203276949539108796242338703517038223151102319413984853050170938530247899102093<200>
prime factors 素因数
4102516110128054862930155128791464141<37>
composite cofactor 合成数の残り
9774021053504131922602930603611899385912817696881405756563471042775396004016870570579593186755278175962364969196645403911770054945320210507255838843821374305127873<163>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=834507740
Step 1 took 37595ms
Step 2 took 12633ms
********** Factor found in step 2: 4102516110128054862930155128791464141
Found probable prime factor of 37 digits: 4102516110128054862930155128791464141

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2012 02:00:00 UTC 2012 年 3 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 17, 2012 11:20:20 UTC 2012 年 3 月 17 日 (土) 20 時 20 分 20 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovMarch 17, 2012 11:20:20 UTC 2012 年 3 月 17 日 (土) 20 時 20 分 20 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 19, 2012 20:51:13 UTC 2012 年 3 月 20 日 (火) 5 時 51 分 13 秒 (日本時間)

67×10217-139

c217

name 名前Serge Batalov
date 日付March 5, 2012 07:42:35 UTC 2012 年 3 月 5 日 (月) 16 時 42 分 35 秒 (日本時間)
composite number 合成数
1019786910197869101978691019786910197869101978691019786910197869101978691019786910197869101978691019786910197869101978691019786910197869101978691019786910197869101978691019786910197869101978691019786910197869101978691<217>
prime factors 素因数
7764679277195365673192344480425942841471<40>
composite cofactor 合成数の残り
131336642994766470159923368398074589146070931818337944061378015053460553553355613648359528627121444106532460789153785686729314236074494301104932710799006690955990939333841461821<177>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3022772317
Step 1 took 21246ms
Step 2 took 7964ms
********** Factor found in step 2: 7764679277195365673192344480425942841471
Found probable prime factor of 40 digits: 7764679277195365673192344480425942841471
Composite cofactor ((67*10^217-13)/9/73)/7764679277195365673192344480425942841471 has 177 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2012 02:00:00 UTC 2012 年 3 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e62320400Serge BatalovMarch 5, 2012 04:18:27 UTC 2012 年 3 月 5 日 (月) 13 時 18 分 27 秒 (日本時間)
1920Serge BatalovMarch 5, 2012 07:42:16 UTC 2012 年 3 月 5 日 (月) 16 時 42 分 16 秒 (日本時間)

67×10218-139

c190

name 名前Serge Batalov
date 日付March 4, 2012 08:44:06 UTC 2012 年 3 月 4 日 (日) 17 時 44 分 6 秒 (日本時間)
composite number 合成数
2175633738288720615254915853455548428395248052399133839166848714959985584944205942225342836404510017663041582569769463934926523774603319095704935493983438038683187639391575368508025454497743<190>
prime factors 素因数
4953576764236300087589478555414451<34>
composite cofactor 合成数の残り
439204607465922885623624450711552897277171835088518347730730287119462620401772380638914675720454558264850787327391600028770590719152291316546847849048043893<156>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=187917412
Step 1 took 5204ms
Step 2 took 3865ms
********** Factor found in step 2: 4953576764236300087589478555414451
Found probable prime factor of 34 digits: 4953576764236300087589478555414451
Composite cofactor 439204607465... has 156 digits

c156

name 名前Dmitry Domanov
date 日付March 15, 2012 07:07:30 UTC 2012 年 3 月 15 日 (木) 16 時 7 分 30 秒 (日本時間)
composite number 合成数
439204607465922885623624450711552897277171835088518347730730287119462620401772380638914675720454558264850787327391600028770590719152291316546847849048043893<156>
prime factors 素因数
6457653518016413318635853119079867453<37>
68013033873770396057855389201967987029841254728124184202847407666582862620548323329156325864072084377617661763284483481<119>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4104200118
Step 1 took 26690ms
Step 2 took 10066ms
********** Factor found in step 2: 6457653518016413318635853119079867453
Found probable prime factor of 37 digits: 6457653518016413318635853119079867453

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2012 02:00:00 UTC 2012 年 3 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)

67×10220-139

c169

composite cofactor 合成数の残り
6100011753839069440063702104915548838397151657842790136330115802346087294556144621536203495919951396563637816071721316100410702159649759914763118083195814990024879887719<169>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2012 02:00:00 UTC 2012 年 3 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 17, 2012 11:21:04 UTC 2012 年 3 月 17 日 (土) 20 時 21 分 4 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovMarch 17, 2012 11:21:04 UTC 2012 年 3 月 17 日 (土) 20 時 21 分 4 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 19, 2012 20:51:38 UTC 2012 年 3 月 20 日 (火) 5 時 51 分 38 秒 (日本時間)

67×10221-139

c195

composite cofactor 合成数の残り
169097461525476315594018206692279016212322370331749061700458607460769617720048942433864497577862957584479785582835072801909210178210981131928050191577790535001927632437722144214784960045288684017<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2012 02:00:00 UTC 2012 年 3 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 17, 2012 11:21:20 UTC 2012 年 3 月 17 日 (土) 20 時 21 分 20 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 17, 2012 11:21:20 UTC 2012 年 3 月 17 日 (土) 20 時 21 分 20 秒 (日本時間)

67×10223-139

c214

composite cofactor 合成数の残り
1968310652574012614451853171939442694986683930967818824348708780106731335905408983361087861827423924395745362577102253850891642638472291712544805998352618280564695203878274530285362452701554031243840427674793355311<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2012 02:00:00 UTC 2012 年 3 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 17, 2012 11:21:31 UTC 2012 年 3 月 17 日 (土) 20 時 21 分 31 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 17, 2012 11:21:31 UTC 2012 年 3 月 17 日 (土) 20 時 21 分 31 秒 (日本時間)

67×10224-139

c176

composite cofactor 合成数の残り
76122688004165853155096746698291481133946243619339405707806501370954313751000271519595366501140353744162207190948375138448288089020483971559002830568282190171271890689462469597<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2012 02:00:00 UTC 2012 年 3 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 17, 2012 11:21:42 UTC 2012 年 3 月 17 日 (土) 20 時 21 分 42 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 17, 2012 11:21:42 UTC 2012 年 3 月 17 日 (土) 20 時 21 分 42 秒 (日本時間)

67×10226-139

c175

composite cofactor 合成数の残り
7664735237204958292303746453014030605783434809906207914823777653330874430226822372429697205052037554207762163119205480381751403342381469941454121768307875988642954227156701389<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2012 02:00:00 UTC 2012 年 3 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 17, 2012 11:21:55 UTC 2012 年 3 月 17 日 (土) 20 時 21 分 55 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 17, 2012 11:21:55 UTC 2012 年 3 月 17 日 (土) 20 時 21 分 55 秒 (日本時間)

67×10229-139

c206

composite cofactor 合成数の残り
13650220605637268819395976130867980819821834482796487307206425784384292156650504278047256209946672522043529182822571151351355263938041701251146493302538755319510270377346973006354372029360410284161153077069<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2012 02:00:00 UTC 2012 年 3 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 17, 2012 11:22:10 UTC 2012 年 3 月 17 日 (土) 20 時 22 分 10 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 17, 2012 11:22:10 UTC 2012 年 3 月 17 日 (土) 20 時 22 分 10 秒 (日本時間)

67×10230-139

c191

name 名前Dmitry Domanov
date 日付March 15, 2012 07:06:24 UTC 2012 年 3 月 15 日 (木) 16 時 6 分 24 秒 (日本時間)
composite number 合成数
94651946937051969975333823678762006638086742309368175270235029516613321541999533430596589987926097288762613917241554964210139278064476774200457483591097335854952862077111257074564742397102721<191>
prime factors 素因数
700453752750643214733131191398199<33>
composite cofactor 合成数の残り
135129473666689628149745316007245234873965638785994003049268017833610170046826387119960720876718905995874161370165619323277632206689989113078585924776884355079<159>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2637145557
Step 1 took 32593ms
Step 2 took 11629ms
********** Factor found in step 2: 700453752750643214733131191398199
Found probable prime factor of 33 digits: 700453752750643214733131191398199

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2012 02:00:00 UTC 2012 年 3 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 17, 2012 11:22:21 UTC 2012 年 3 月 17 日 (土) 20 時 22 分 21 秒 (日本時間)
4511e6400Dmitry DomanovMarch 17, 2012 11:22:21 UTC 2012 年 3 月 17 日 (土) 20 時 22 分 21 秒 (日本時間)
5043e67900200Dmitry DomanovMarch 19, 2012 20:52:02 UTC 2012 年 3 月 20 日 (火) 5 時 52 分 2 秒 (日本時間)
7700Wataru SakaiMay 29, 2012 06:40:26 UTC 2012 年 5 月 29 日 (火) 15 時 40 分 26 秒 (日本時間)

67×10231-139

c222

composite cofactor 合成数の残り
705491369270032845231361727993788416285465469386921739447573892069636371645896175698995121293748092269929581164485875969604439728182413453505032835293568116851729478424559074541882926552379443930294075160395791714789703177<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2012 02:00:00 UTC 2012 年 3 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 17, 2012 11:22:32 UTC 2012 年 3 月 17 日 (土) 20 時 22 分 32 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 17, 2012 11:22:32 UTC 2012 年 3 月 17 日 (土) 20 時 22 分 32 秒 (日本時間)

67×10233-139

c223

composite cofactor 合成数の残り
5924823542339455957782587630195479326065376200166365039003875280577612680554623042825103384392124964076288564840440845756396882422632096125767887915961845825726080416732244513777247914745611702577844915808185397163109503497<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2012 02:00:00 UTC 2012 年 3 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 17, 2012 11:22:44 UTC 2012 年 3 月 17 日 (土) 20 時 22 分 44 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 17, 2012 11:22:44 UTC 2012 年 3 月 17 日 (土) 20 時 22 分 44 秒 (日本時間)

67×10235-139

c199

composite cofactor 合成数の残り
2266795654089361107707138791934667647956896585143449104239105339180240324397388511415048733768270041436881264218976800292533170147073208408710890908122853537005641006251874103097054585958142634819631<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2012 02:00:00 UTC 2012 年 3 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 17, 2012 11:22:55 UTC 2012 年 3 月 17 日 (土) 20 時 22 分 55 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 17, 2012 11:22:55 UTC 2012 年 3 月 17 日 (土) 20 時 22 分 55 秒 (日本時間)

67×10236-139

c170

name 名前Dmitry Domanov
date 日付March 17, 2012 10:15:46 UTC 2012 年 3 月 17 日 (土) 19 時 15 分 46 秒 (日本時間)
composite number 合成数
40840741445396764510108098147068632429617340134558400777719449884765138706081587922597909969804255677609458943863870163034191619508023292581483519635370139040117930142633<170>
prime factors 素因数
4014553419961484801977498885536534089<37>
composite cofactor 合成数の残り
10173171751140525671375968368893861099833213940950622449491683022975924816158579416150335226608242368372307256720427359108194773824097<134>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2940918413
Step 1 took 98313ms
Step 2 took 34436ms
********** Factor found in step 2: 4014553419961484801977498885536534089
Found probable prime factor of 37 digits: 4014553419961484801977498885536534089

c134

name 名前Erik Branger
date 日付April 24, 2012 05:29:30 UTC 2012 年 4 月 24 日 (火) 14 時 29 分 30 秒 (日本時間)
composite number 合成数
10173171751140525671375968368893861099833213940950622449491683022975924816158579416150335226608242368372307256720427359108194773824097<134>
prime factors 素因数
23491161479185752485832506978482827798710627<44>
433063804024948825019919845559267384230608529418796567215272577083425438681812835799253611<90>
factorization results 素因数分解の結果
Number: 74443_236
N = 10173171751140525671375968368893861099833213940950622449491683022975924816158579416150335226608242368372307256720427359108194773824097 (134 digits)
Divisors found:
r1=23491161479185752485832506978482827798710627 (pp44)
r2=433063804024948825019919845559267384230608529418796567215272577083425438681812835799253611 (pp90)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 143.69 hours.
Factorization parameters were as follows:
# Murphy_E = 5.782e-11, selected by Erik Branger
n: 10173171751140525671375968368893861099833213940950622449491683022975924816158579416150335226608242368372307256720427359108194773824097
Y0: -90454282455221010290727274
Y1: 126913695213119
c0: 16354712372597094064037688746264859
c1: 67418807179741871127012392512
c2: -16599660625607729739363
c3: -38194034154067178
c4: 3944341438
c5: 1680
skew: 2345522.91
type: gnfs
# selected mechanically
rlim: 11800000
alim: 11800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 11800000/11800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [5900000, 12000000)
Relations: 20027059
Relations in full relation-set: 2693038 relations
Pruned matrix : 1621604 x 1621836
Polynomial selection time: 0.00 hours.
Total sieving time: 140.76 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 2.60 hours.
time per square root: 0.23 hours.
Prototype def-par.txt line would be: gnfs,133,5,65,2000,1e-05,0.28,250,20,50000,3600,11800000,11800000,28,28,54,54,2.6,2.6,100000
total time: 143.69 hours.
 --------- CPU info (if available) ----------
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 KamadaMarch 4, 2012 02:00:00 UTC 2012 年 3 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 17, 2012 16:43:43 UTC 2012 年 3 月 18 日 (日) 1 時 43 分 43 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovMarch 17, 2012 16:43:43 UTC 2012 年 3 月 18 日 (日) 1 時 43 分 43 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 19, 2012 20:52:16 UTC 2012 年 3 月 20 日 (火) 5 時 52 分 16 秒 (日本時間)

67×10237-139

c233

name 名前Serge Batalov
date 日付March 5, 2012 10:07:46 UTC 2012 年 3 月 5 日 (月) 19 時 7 分 46 秒 (日本時間)
composite number 合成数
28707892056611963135638791303479696450461961400310987881413268102146964697433814383339481963945458432900444029679675626528320335513847701633307667620882720548380724921406789545014188982767980674018457889164398957432194744056288035279<233>
prime factors 素因数
14966764986612597080293357549816275505013<41>
composite cofactor 合成数の残り
1918109363131609671424890489024553420676757877657289520972597024475577043817373409423322067859468813757008919578419767081976186186575772526420794009589965857048249678890053427225997010563778483<193>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2437204442
Step 1 took 24437ms
Step 2 took 8893ms
********** Factor found in step 2: 14966764986612597080293357549816275505013
Found probable prime factor of 41 digits: 14966764986612597080293357549816275505013
Composite cofactor 191810936313... has 193 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2012 02:00:00 UTC 2012 年 3 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovMarch 5, 2012 10:07:31 UTC 2012 年 3 月 5 日 (月) 19 時 7 分 31 秒 (日本時間)

67×10238-139

c135

name 名前Serge Batalov
date 日付March 4, 2012 08:45:43 UTC 2012 年 3 月 4 日 (日) 17 時 45 分 43 秒 (日本時間)
composite number 合成数
886729020288165253444392056940345698925661357809364054485017768310132463701393840691326333411215618228470627030171944369546246518251403<135>
prime factors 素因数
271067811035553483097216245659185957<36>
3271244257666068384720883696452133860455794567313816602894874649029004046067849859924837151564554479<100>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=83206801
Step 1 took 3504ms
Step 2 took 2812ms
********** Factor found in step 2: 271067811035553483097216245659185957
Found probable prime factor of 36 digits: 271067811035553483097216245659185957
Probable prime cofactor 327124425766... has 100 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2012 02:00:00 UTC 2012 年 3 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)

67×10239-139

c205

name 名前Serge Batalov
date 日付March 4, 2012 08:46:09 UTC 2012 年 3 月 4 日 (日) 17 時 46 分 9 秒 (日本時間)
composite number 合成数
1629083111995595341548441150253802136522862475280356519065500075626233602840351775170465656525266348725155925159072380141214831885006656519912004297582921034214311053972393924662629894699511280276458811611<205>
prime factors 素因数
1163534614478665237096323073161920189<37>
composite cofactor 合成数の残り
1400115726445770022779043877330824952022935980836687898914413088774173247817991930058921293111541180154064705626466739694222474242647220122085194976620101748047772046199<169>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1118186263
Step 1 took 6073ms
Step 2 took 4276ms
********** Factor found in step 2: 1163534614478665237096323073161920189
Found probable prime factor of 37 digits: 1163534614478665237096323073161920189
Composite cofactor 140011572644... has 169 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2012 02:00:00 UTC 2012 年 3 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 17, 2012 11:23:15 UTC 2012 年 3 月 17 日 (土) 20 時 23 分 15 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovMarch 17, 2012 11:23:15 UTC 2012 年 3 月 17 日 (土) 20 時 23 分 15 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 19, 2012 20:52:42 UTC 2012 年 3 月 20 日 (火) 5 時 52 分 42 秒 (日本時間)

67×10240-139

c207

composite cofactor 合成数の残り
152958475951599933720212386864495601653225914759740812964262264593188496815517932696152317036032267972651444375957000941227189855952561495810129428403662121812489496283290903987460755633231641430353428422941<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2012 02:00:00 UTC 2012 年 3 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 17, 2012 11:23:27 UTC 2012 年 3 月 17 日 (土) 20 時 23 分 27 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 17, 2012 11:23:27 UTC 2012 年 3 月 17 日 (土) 20 時 23 分 27 秒 (日本時間)

67×10241-139

c191

name 名前Serge Batalov
date 日付March 4, 2012 08:43:15 UTC 2012 年 3 月 4 日 (日) 17 時 43 分 15 秒 (日本時間)
composite number 合成数
26432379853278151505974773699395527345712850239352780944883704363616610013810481735817629766923903703751830515199240812692670528226578111876014185465049944465230636771379663407000224768975413<191>
prime factors 素因数
1739056212412411912803980594257<31>
15199267087871333680068053591375807917081195615273730152751510873105964351550151332070145616135586826555609512608564842970575852413692461001169753824218132550309<161>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3210563665
Step 1 took 5244ms
Step 2 took 3864ms
********** Factor found in step 2: 1739056212412411912803980594257
Found probable prime factor of 31 digits: 1739056212412411912803980594257
Probable prime cofactor 151992670878... has 161 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2012 02:00:00 UTC 2012 年 3 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)

67×10242-139

c216

name 名前Dmitry Domanov
date 日付March 17, 2012 10:16:22 UTC 2012 年 3 月 17 日 (土) 19 時 16 分 22 秒 (日本時間)
composite number 合成数
217075042827745787824272306808656583718773719272751410442039554791532837827978372585098022965351505189877339445903280642072902502862887458465177010197100761676123716733495711144927922471285894405046599684414701900903<216>
prime factors 素因数
339810655477271680111333263516273977155188607<45>
638811759810353874703273308608451327913348243193039124477971829341906410571768010476779845684124275726971580149629982025628098058299071542224471038630539951123622116955929<171>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3132721333
Step 1 took 157262ms
Step 2 took 46694ms
********** Factor found in step 2: 339810655477271680111333263516273977155188607
Found probable prime factor of 45 digits: 339810655477271680111333263516273977155188607

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2012 02:00:00 UTC 2012 年 3 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)

67×10245-139

c246

name 名前Dmitry Domanov
date 日付May 8, 2012 20:46:10 UTC 2012 年 5 月 9 日 (水) 5 時 46 分 10 秒 (日本時間)
composite number 合成数
106349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349<246>
prime factors 素因数
3756354682044926968640293576814496981801885581<46>
28311811676769234681922695348567221249584585888231482327297973938559745149816991939135843712409118807570926717611089482602304494572971875930932687464185565022023048711260145844974487324003997505614529<200>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4218457480
Step 1 took 505436ms
Step 2 took 107958ms
********** Factor found in step 2: 3756354682044926968640293576814496981801885581
Found probable prime factor of 46 digits: 3756354682044926968640293576814496981801885581

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2012 02:00:00 UTC 2012 年 3 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 17, 2012 11:23:47 UTC 2012 年 3 月 17 日 (土) 20 時 23 分 47 秒 (日本時間)
4511e6400Dmitry DomanovMarch 17, 2012 11:23:47 UTC 2012 年 3 月 17 日 (土) 20 時 23 分 47 秒 (日本時間)
5043e61100 / 7425600Domanov DmitryMay 6, 2012 23:32:45 UTC 2012 年 5 月 7 日 (月) 8 時 32 分 45 秒 (日本時間)
500Dmitry DomanovMay 7, 2012 20:30:23 UTC 2012 年 5 月 8 日 (火) 5 時 30 分 23 秒 (日本時間)

67×10246-139

c227

name 名前Serge Batalov
date 日付March 4, 2012 08:43:41 UTC 2012 年 3 月 4 日 (日) 17 時 43 分 41 秒 (日本時間)
composite number 合成数
10096288791566211883747875984981099199401646358989106735434424535929920510777695100999552075874909822829687508075861428672957262948761914559160323266091149181099460519049957348652437461873337736197375709107467557801435687648461<227>
prime factors 素因数
70623154019407981690459747873<29>
composite cofactor 合成数の残り
142960038131285471634819087262438868094305313440996933619007736777643437847564704608793000567977622234663327784926784436371193515328852774896743555591493770651553266145348105966692214062530665158957<198>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1371550863
Step 1 took 7017ms
********** Factor found in step 1: 70623154019407981690459747873
Found probable prime factor of 29 digits: 70623154019407981690459747873
Composite cofactor 142960038131... has 198 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2012 02:00:00 UTC 2012 年 3 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 17, 2012 11:24:01 UTC 2012 年 3 月 17 日 (土) 20 時 24 分 1 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 17, 2012 11:24:01 UTC 2012 年 3 月 17 日 (土) 20 時 24 分 1 秒 (日本時間)

67×10248-139

c209

composite cofactor 合成数の残り
96020951350335043461017233485055967522423082574993688065100016034848328220711857161420041257790496919062067320368171787995985466036829593969083400048466750524190490828558120367340362471178366554686958630893641<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2012 02:00:00 UTC 2012 年 3 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 17, 2012 11:24:12 UTC 2012 年 3 月 17 日 (土) 20 時 24 分 12 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 17, 2012 11:24:12 UTC 2012 年 3 月 17 日 (土) 20 時 24 分 12 秒 (日本時間)