Table of contents 目次

8×10155-1

c134

name 名前Robert Backstrom
date 日付March 18, 2007 02:22:58 UTC 2007 年 3 月 18 日 (日) 11 時 22 分 58 秒 (日本時間)
composite number 合成数
11393626860964803334816245374068666021838036458519996173075889805142698696785738778530768098113617739706030753107072643747962797457479<134>
prime factors 素因数
25299121414677623214283953730819328916466561<44>
450356622042797048454591109679905092704867767939346295702116218557105008704105348263325639<90>
factorization results 素因数分解の結果
Number: n
N=11393626860964803334816245374068666021838036458519996173075889805142698696785738778530768098113617739706030753107072643747962797457479
  ( 134 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=25299121414677623214283953730819328916466561 (pp44)
 r2=450356622042797048454591109679905092704867767939346295702116218557105008704105348263325639 (pp90)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 30.40 hours.
Scaled time: 36.30 units (timescale=1.194).
Factorization parameters were as follows:
name: KA_7_9_155
n: 11393626860964803334816245374068666021838036458519996173075889805142698696785738778530768098113617739706030753107072643747962797457479
type: snfs
skew: 1
deg: 5
c5: 8
c0: -1
m: 10000000000000000000000000000000
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [1600000, 2600001)
Primes: RFBsize:230209, AFBsize:230077, largePrimes:7417752 encountered
Relations: rels:6972041, finalFF:576947
Max relations in full relation-set: 28
Initial matrix: 460351 x 576947 with sparse part having weight 41539673.
Pruned matrix : 373294 x 375659 with weight 25838093.
Total sieving time: 25.61 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 4.49 hours.
Total square root time: 0.11 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.3,2.3,100000
total time: 30.40 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

8×10160-1

c155

name 名前Robert Backstrom
date 日付June 5, 2007 01:24:18 UTC 2007 年 6 月 5 日 (火) 10 時 24 分 18 秒 (日本時間)
composite number 合成数
85164457890966073673643410027476183227072929518959205160114503613634403886054213564781941728348799553738240651337773950108531456024799890137849320653764961<155>
prime factors 素因数
7430283334715190763428010216563200237119<40>
8371325514886127521657093908547021699702744768728781303<55>
1369174436449288928232717093121729013383869942151960421280473<61>
factorization results 素因数分解の結果
Number: n
N=85164457890966073673643410027476183227072929518959205160114503613634403886054213564781941728348799553738240651337773950108531456024799890137849320653764961
  ( 155 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=7430283334715190763428010216563200237119 (pp40)
 r2=8371325514886127521657093908547021699702744768728781303 (pp55)
 r3=1369174436449288928232717093121729013383869942151960421280473 (pp61)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 37.67 hours.
Scaled time: 51.49 units (timescale=1.367).
Factorization parameters were as follows:
name: KA_7_9_160
n: 85164457890966073673643410027476183227072929518959205160114503613634403886054213564781941728348799553738240651337773950108531456024799890137849320653764961
skew: 0.66
deg: 5
c5: 8
c0: -1
m: 100000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1500001)
Primes: RFBsize:250150, AFBsize:249851, largePrimes:7325544 encountered
Relations: rels:6965044, finalFF:662712
Max relations in full relation-set: 28
Initial matrix: 500066 x 662712 with sparse part having weight 42447996.
Pruned matrix : 358049 x 360613 with weight 22237841.
Total sieving time: 34.43 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.83 hours.
Total square root time: 0.20 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 37.67 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

8×10161-1

c155

name 名前Robert Backstrom
date 日付June 8, 2007 07:52:46 UTC 2007 年 6 月 8 日 (金) 16 時 52 分 46 秒 (日本時間)
composite number 合成数
69875336285973897544065352305768182807156038002051015808334048827662178253555060585847047605455202441514125168213954087187474915846075464839123829664543359<155>
prime factors 素因数
4539588034558524737970606694078211509057811<43>
11816947682969491809277478418090336975083252421299<50>
1302573251363958712781218721583539351026194452662047110920669831<64>
factorization results 素因数分解の結果
Number: n
N=69875336285973897544065352305768182807156038002051015808334048827662178253555060585847047605455202441514125168213954087187474915846075464839123829664543359
  ( 155 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=4539588034558524737970606694078211509057811 (pp43)
 r2=11816947682969491809277478418090336975083252421299 (pp50)
 r3=1302573251363958712781218721583539351026194452662047110920669831 (pp64)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 39.71 hours.
Scaled time: 54.29 units (timescale=1.367).
Factorization parameters were as follows:
name: KA_7_9_161
n: 69875336285973897544065352305768182807156038002051015808334048827662178253555060585847047605455202441514125168213954087187474915846075464839123829664543359
skew: 0.83
deg: 5
c5: 5
c0: -2
m: 200000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1700001)
Primes: RFBsize:250150, AFBsize:249566, largePrimes:7182966 encountered
Relations: rels:6717273, finalFF:574042
Max relations in full relation-set: 28
Initial matrix: 499781 x 574042 with sparse part having weight 36072684.
Pruned matrix : 435510 x 438072 with weight 22844668.
Total sieving time: 35.55 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 3.71 hours.
Total square root time: 0.24 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 39.71 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

8×10164-1

c141

name 名前Robert Backstrom
date 日付January 29, 2008 20:42:13 UTC 2008 年 1 月 30 日 (水) 5 時 42 分 13 秒 (日本時間)
composite number 合成数
121831841732615858077060884495408980012801655561808302844196831596094254357569474806622403580182271741991617248312179184985155377588893450833<141>
prime factors 素因数
136719084005415749015513821637101935561368136069713<51>
891110722536656448479198244649382601120593416934422175200192460737138401437174420855050241<90>
factorization results 素因数分解の結果
Number: n
N=121831841732615858077060884495408980012801655561808302844196831596094254357569474806622403580182271741991617248312179184985155377588893450833
  ( 141 digits)
SNFS difficulty: 165 digits.
Divisors found:

Wed Jan 30 06:26:42 2008  prp51 factor: 136719084005415749015513821637101935561368136069713
Wed Jan 30 06:26:42 2008  prp90 factor: 891110722536656448479198244649382601120593416934422175200192460737138401437174420855050241
Wed Jan 30 06:26:42 2008  elapsed time 00:50:07 (Msieve 1.33)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 30.94 hours.
Scaled time: 56.59 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_7_9_164
n: 121831841732615858077060884495408980012801655561808302844196831596094254357569474806622403580182271741991617248312179184985155377588893450833
skew: 1.05
deg: 5
c5: 4
c0: -5
m: 1000000000000000000000000000000000
type: snfs
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2199990)
Primes: RFBsize:230209, AFBsize:230262, largePrimes:7266385 encountered
Relations: rels:6749996, finalFF:527344
Max relations in full relation-set: 28
Initial matrix: 460535 x 527344 with sparse part having weight 44818095.
Pruned matrix : 
Total sieving time: 30.78 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.5,2.5,100000
total time: 30.94 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

8×10166-1

c144

name 名前Robert Backstrom
date 日付January 29, 2008 04:26:13 UTC 2008 年 1 月 29 日 (火) 13 時 26 分 13 秒 (日本時間)
composite number 合成数
505917913457799458734266811971710885068794540173797125115673787463148323314430390867563858141920290003653553739065318013688362034376483144348703<144>
prime factors 素因数
36016936302058360187537361721146449943796609862852885565964670381174623<71>
14046667079478560713957129015435981397074694852066792830046818073901232961<74>
factorization results 素因数分解の結果
Number: n
N=505917913457799458734266811971710885068794540173797125115673787463148323314430390867563858141920290003653553739065318013688362034376483144348703
  ( 144 digits)
SNFS difficulty: 167 digits.
Divisors found:

Tue Jan 29 15:17:36 2008  prp71 factor: 36016936302058360187537361721146449943796609862852885565964670381174623
Tue Jan 29 15:17:36 2008  prp74 factor: 14046667079478560713957129015435981397074694852066792830046818073901232961
Tue Jan 29 15:17:36 2008  elapsed time 01:05:44 (Msieve 1.33, sqrts: 5)

Version: GGNFS-0.77.1-20050930-k8
Total time: 47.31 hours.
Scaled time: 39.65 units (timescale=0.838).
Factorization parameters were as follows:
name: KA_7_9_166
n: 505917913457799458734266811971710885068794540173797125115673787463148323314430390867563858141920290003653553739065318013688362034376483144348703
type: snfs
deg: 5
c5: 5
c0: -2
skew: 0.83
m: 2000000000000000000000000000000000
rlim: 3000000
alim: 3000000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 3000317)
Primes: RFBsize:216816, AFBsize:216391, largePrimes:5650975 encountered
Relations: rels:5543339, finalFF:475811
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 47.14 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.5,2.5,100000
total time: 47.31 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6045.69 BogoMIPS (lpj=3022848)
Total of 2 processors activated (12009.47 BogoMIPS).

8×10167-1

c117

name 名前Sinkiti Sibata
date 日付September 8, 2006 11:03:17 UTC 2006 年 9 月 8 日 (金) 20 時 3 分 17 秒 (日本時間)
composite number 合成数
109514763865386290777458175990679805223116309295754300737131171375962407278963151743982808794463348440192106698632139<117>
prime factors 素因数
6699442777335423652252069571185108736736497909<46>
16346846671469550453943562736383940599589650231774542042153858211713471<71>
factorization results 素因数分解の結果
Number: 79999_167
N=109514763865386290777458175990679805223116309295754300737131171375962407278963151743982808794463348440192106698632139
  ( 117 digits)
Divisors found:
 r1=6699442777335423652252069571185108736736497909 (pp46)
 r2=16346846671469550453943562736383940599589650231774542042153858211713471 (pp71)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 84.68 hours.
Scaled time: 56.99 units (timescale=0.673).
Factorization parameters were as follows:
name: 79999_167
n: 109514763865386290777458175990679805223116309295754300737131171375962407278963151743982808794463348440192106698632139
skew: 36968.17
# norm 4.75e+15
c5: 30660
c4: -6699269768
c3: -93580883140749
c2: 8089962192932196080
c1: 67664030510233170685222
c0: -1238997054605988332371740160
# alpha -5.37
Y1: 1305639979501
Y0: -20444727018117514523559
# Murphy_E 4.51e-10
# M 39792006408851603576345681438263979568746439464916972834789019409408685336844465229572147209599156983171569402045178
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2250000, 3870001)
Primes: RFBsize:315948, AFBsize:315999, largePrimes:7638500 encountered
Relations: rels:7740528, finalFF:787770
Max relations in full relation-set: 28
Initial matrix: 632032 x 787770 with sparse part having weight 65396655.
Pruned matrix : 497525 x 500749 with weight 38439370.
Total sieving time: 69.89 hours.
Total relation processing time: 1.17 hours.
Matrix solve time: 13.17 hours.
Time per square root: 0.45 hours.
Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 84.68 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin

8×10170-1

c150

name 名前Jo Yeong Uk
date 日付April 16, 2008 03:39:53 UTC 2008 年 4 月 16 日 (水) 12 時 39 分 53 秒 (日本時間)
composite number 合成数
234973319330936724560440113374248071485901702041089793639835931707462408153043151572269072606695169646463827828294775284569251673133118171494660264697<150>
prime factors 素因数
14008580624750494404998711251129<32>
16773527998674156443599016288925581723244594369965881175195561165229044921073548889200126000428046790680088466419299393<119>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 234973319330936724560440113374248071485901702041089793639835931707462408153043151572269072606695169646463827828294775284569251673133118171494660264697 (150 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1684990444
Step 1 took 7182ms
********** Factor found in step 1: 14008580624750494404998711251129
Found probable prime factor of 32 digits: 14008580624750494404998711251129
Probable prime cofactor 16773527998674156443599016288925581723244594369965881175195561165229044921073548889200126000428046790680088466419299393 has 119 digits
execution environment 実行環境
Core 2 Quad Q6600

8×10173-1

c140

name 名前Jo Yeong Uk
date 日付April 16, 2008 08:16:25 UTC 2008 年 4 月 16 日 (水) 17 時 16 分 25 秒 (日本時間)
composite number 合成数
60524038751019491675842182297075770112867798417965915121613378528250320319681455978538603786959564665211081264720723775650260036193036147199<140>
prime factors 素因数
2380128402987626355750914791239491<34>
25428896472579987859772918652405527101836770281382986409039510776347763971977279943001852490967033956157589<107>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 60524038751019491675842182297075770112867798417965915121613378528250320319681455978538603786959564665211081264720723775650260036193036147199 (140 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1597313475
Step 1 took 7209ms
Step 2 took 3975ms
********** Factor found in step 2: 2380128402987626355750914791239491
Found probable prime factor of 34 digits: 2380128402987626355750914791239491
Probable prime cofactor 25428896472579987859772918652405527101836770281382986409039510776347763971977279943001852490967033956157589 has 107 digits
execution environment 実行環境
Core 2 Quad Q6600

8×10178-1

c173

name 名前Jo Yeong Uk
date 日付April 17, 2008 09:00:30 UTC 2008 年 4 月 17 日 (木) 18 時 0 分 30 秒 (日本時間)
composite number 合成数
85875332632733744604613866934025202263244391535697839054598463046234205647805938923316548283942493583502489847925520324007630023304418393208119942077088139221089264187946753<173>
prime factors 素因数
5885133257828395389165904720779636286561<40>
14591909625581121136482174824446665198803833208568420920881318532185496567756234695562377208236552712810015744424723901294952789939873<134>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 85875332632733744604613866934025202263244391535697839054598463046234205647805938923316548283942493583502489847925520324007630023304418393208119942077088139221089264187946753 (173 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3903274270
Step 1 took 25545ms
Step 2 took 11513ms
********** Factor found in step 2: 5885133257828395389165904720779636286561
Found probable prime factor of 40 digits: 5885133257828395389165904720779636286561
Probable prime cofactor 14591909625581121136482174824446665198803833208568420920881318532185496567756234695562377208236552712810015744424723901294952789939873 has 134 digits
execution environment 実行環境
Core 2 Quad Q6600

8×10181-1

c164

name 名前Jo Yeong Uk
date 日付May 8, 2008 13:42:12 UTC 2008 年 5 月 8 日 (木) 22 時 42 分 12 秒 (日本時間)
composite number 合成数
10228276958300330498080736507519279486105205969987660391195978740025086788072414219094013040085242030630292224665357961760845294364879206193081236289180022489020871<164>
prime factors 素因数
788439573104899094381095893696862654025503474927799<51>
12972810228209453983816901634265018328778556886502519239281435619824317355319728543086413776308502828632117225329<113>
factorization results 素因数分解の結果
Number: 79999_181
N=10228276958300330498080736507519279486105205969987660391195978740025086788072414219094013040085242030630292224665357961760845294364879206193081236289180022489020871
  ( 164 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=788439573104899094381095893696862654025503474927799 (pp51)
 r2=12972810228209453983816901634265018328778556886502519239281435619824317355319728543086413776308502828632117225329 (pp113)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 191.88 hours.
Scaled time: 453.03 units (timescale=2.361).
Factorization parameters were as follows:
n: 10228276958300330498080736507519279486105205969987660391195978740025086788072414219094013040085242030630292224665357961760845294364879206193081236289180022489020871
m: 2000000000000000000000000000000000000
c5: 5
c0: -2
skew: 0.83
type: snfs
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved algebraic special-q in [5000000, 8600001)
Primes: RFBsize:664579, AFBsize:664045, largePrimes:11037168 encountered
Relations: rels:11404548, finalFF:1577413
Max relations in full relation-set: 28
Initial matrix: 1328689 x 1577413 with sparse part having weight 92971068.
Pruned matrix : 1097910 x 1104617 with weight 60006284.
Total sieving time: 183.42 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 8.15 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,50,50,2.6,2.6,100000
total time: 191.88 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: 8047208k/8912896k available (2434k kernel code, 339080k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673793)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.48 BogoMIPS (lpj=2672242)
Calibrating delay using timer specific routine.. 5344.70 BogoMIPS (lpj=2672351)
execution environment 実行環境
Core 2 Quad Q6700

8×10182-1

c175

name 名前Jo Yeong Uk
date 日付April 17, 2008 13:42:25 UTC 2008 年 4 月 17 日 (木) 22 時 42 分 25 秒 (日本時間)
composite number 合成数
2609459171418364063047573601402378157362828633127090052439267471708088726843793863071963563912832751669118541685997730481598490234769355791430586313151142220459981958786417127<175>
prime factors 素因数
64965178089572382042423526852742694223<38>
composite cofactor 合成数の残り
40167044071217756780187592392246187076622588646967716036404892251010744662016892972703963262216033825927684995558723281578766771102057449<137>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 2609459171418364063047573601402378157362828633127090052439267471708088726843793863071963563912832751669118541685997730481598490234769355791430586313151142220459981958786417127 (175 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2554742152
Step 1 took 30083ms
Step 2 took 12098ms
********** Factor found in step 2: 64965178089572382042423526852742694223
Found probable prime factor of 38 digits: 64965178089572382042423526852742694223
Composite cofactor 40167044071217756780187592392246187076622588646967716036404892251010744662016892972703963262216033825927684995558723281578766771102057449 has 137 digits
execution environment 実行環境
Core 2 Quad Q6600

c137

name 名前Jo Yeong Uk
date 日付May 19, 2008 14:01:36 UTC 2008 年 5 月 19 日 (月) 23 時 1 分 36 秒 (日本時間)
composite number 合成数
40167044071217756780187592392246187076622588646967716036404892251010744662016892972703963262216033825927684995558723281578766771102057449<137>
prime factors 素因数
2829679223950790825954049626119361318023850447<46>
14194910762760110159567326572030778175180115767221826639366766883637151712659720504442682567<92>
factorization results 素因数分解の結果
Number: 79999_182
N=40167044071217756780187592392246187076622588646967716036404892251010744662016892972703963262216033825927684995558723281578766771102057449
  ( 137 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=2829679223950790825954049626119361318023850447 (pp46)
 r2=14194910762760110159567326572030778175180115767221826639366766883637151712659720504442682567 (pp92)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 198.43 hours.
Scaled time: 470.07 units (timescale=2.369).
Factorization parameters were as follows:
n: 40167044071217756780187592392246187076622588646967716036404892251010744662016892972703963262216033825927684995558723281578766771102057449
m: 2000000000000000000000000000000000000
c5: 25
c0: -1
skew: 0.53
type: snfs
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved algebraic special-q in [5000000, 8700001)
Primes: RFBsize:664579, AFBsize:664195, largePrimes:11026461 encountered
Relations: rels:11383611, finalFF:1565933
Max relations in full relation-set: 28
Initial matrix: 1328838 x 1565933 with sparse part having weight 91203312.
Pruned matrix : 1110337 x 1117045 with weight 59728587.
Total sieving time: 189.97 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 8.13 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,50,50,2.6,2.6,100000
total time: 198.43 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: 8047200k/8912896k available (2439k kernel code, 339088k reserved, 1234k data, 192k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673806)
Calibrating delay using timer specific routine.. 5344.78 BogoMIPS (lpj=2672394)
Calibrating delay using timer specific routine.. 5344.44 BogoMIPS (lpj=2672223)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672388)
execution environment 実行環境
Core 2 Quad Q6700

8×10184-1

c185

name 名前Jo Yeong Uk
date 日付May 3, 2007 03:41:33 UTC 2007 年 5 月 3 日 (木) 12 時 41 分 33 秒 (日本時間)
composite number 合成数
79999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<185>
prime factors 素因数
1999080062901581503437318550484654902159553<43>
composite cofactor 合成数の残り
40018407208705453170393588274967598668194718998797708185694406998207268713775631752044327280691107243190075250207288752868081397525726798190783<143>
factorization results 素因数分解の結果
GMP-ECM 6.1.2 [powered by GMP 4.2.1] [ECM]
Input number is 79999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 (185 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1917431932
Step 1 took 29896ms
Step 2 took 12297ms
********** Factor found in step 2: 1999080062901581503437318550484654902159553
Found probable prime factor of 43 digits: 1999080062901581503437318550484654902159553
Composite cofactor 40018407208705453170393588274967598668194718998797708185694406998207268713775631752044327280691107243190075250207288752868081397525726798190783 has 143 digits
execution environment 実行環境
Core 2 Quad Q6600

c143

name 名前Jo Yeong Uk
date 日付April 18, 2008 14:23:25 UTC 2008 年 4 月 18 日 (金) 23 時 23 分 25 秒 (日本時間)
composite number 合成数
40018407208705453170393588274967598668194718998797708185694406998207268713775631752044327280691107243190075250207288752868081397525726798190783<143>
prime factors 素因数
15637703450006173973828739274219217<35>
2559097461890393718243754256765145837067277294067140964364353690368762236330319581826659779608172818332729999<109>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 40018407208705453170393588274967598668194718998797708185694406998207268713775631752044327280691107243190075250207288752868081397525726798190783 (143 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3350474124
Step 1 took 21571ms
Step 2 took 9682ms
********** Factor found in step 2: 15637703450006173973828739274219217
Found probable prime factor of 35 digits: 15637703450006173973828739274219217
Probable prime cofactor 2559097461890393718243754256765145837067277294067140964364353690368762236330319581826659779608172818332729999 has 109 digits
execution environment 実行環境
Core 2 Quad Q6600

8×10185-1

c163

name 名前Jo Yeong Uk
date 日付April 17, 2008 10:26:52 UTC 2008 年 4 月 17 日 (木) 19 時 26 分 52 秒 (日本時間)
composite number 合成数
4627991314044776933039994130994689618809710902761419519170660716521232846267083200024572612307963465580696066647506257096668411107329328476616594543774726401946271<163>
prime factors 素因数
9213214841645127155231659857590189<34>
502321002341718432286600942522787211853191175238165401879857931010912161900095448258817976719920746592180033543258552863249190139<129>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 4627991314044776933039994130994689618809710902761419519170660716521232846267083200024572612307963465580696066647506257096668411107329328476616594543774726401946271 (163 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3894706122
Step 1 took 25747ms
Step 2 took 11079ms
********** Factor found in step 2: 9213214841645127155231659857590189
Found probable prime factor of 34 digits: 9213214841645127155231659857590189
Probable prime cofactor 502321002341718432286600942522787211853191175238165401879857931010912161900095448258817976719920746592180033543258552863249190139 has 129 digits
execution environment 実行環境
Core 2 Quad Q6600

8×10187-1

c162

name 名前Jo Yeong Uk
date 日付April 17, 2008 23:38:41 UTC 2008 年 4 月 18 日 (金) 8 時 38 分 41 秒 (日本時間)
composite number 合成数
441935795155637716938586065577848322100260286622997833405846875866192855425931431706364913094620556109633586433479845031483701079738947882695127338829089990483169<162>
prime factors 素因数
153590809952823656448053791352618581<36>
composite cofactor 合成数の残り
2877358321708056371637969064791902153383448514723182208423678494914578167998439620341180341926287474457161806866745674265286749<127>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 441935795155637716938586065577848322100260286622997833405846875866192855425931431706364913094620556109633586433479845031483701079738947882695127338829089990483169 (162 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3843171931
Step 1 took 25837ms
Step 2 took 10931ms
********** Factor found in step 2: 153590809952823656448053791352618581
Found probable prime factor of 36 digits: 153590809952823656448053791352618581
Composite cofactor 2877358321708056371637969064791902153383448514723182208423678494914578167998439620341180341926287474457161806866745674265286749 has 127 digits
execution environment 実行環境
Core 2 Quad Q6600

c127

name 名前Jo Yeong Uk
date 日付April 24, 2008 14:17:33 UTC 2008 年 4 月 24 日 (木) 23 時 17 分 33 秒 (日本時間)
composite number 合成数
2877358321708056371637969064791902153383448514723182208423678494914578167998439620341180341926287474457161806866745674265286749<127>
prime factors 素因数
102746196181289754298239251281338562669<39>
28004524047110445703490411149385111933719827225584358402128727994530576296739317131430321<89>
factorization results 素因数分解の結果
Number: 79999_187
N=2877358321708056371637969064791902153383448514723182208423678494914578167998439620341180341926287474457161806866745674265286749
  ( 127 digits)
Divisors found:
 r1=102746196181289754298239251281338562669 (pp39)
 r2=28004524047110445703490411149385111933719827225584358402128727994530576296739317131430321 (pp89)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 105.29 hours.
Scaled time: 225.52 units (timescale=2.142).
Factorization parameters were as follows:
name: 79999_187
n: 2877358321708056371637969064791902153383448514723182208423678494914578167998439620341180341926287474457161806866745674265286749
skew: 118531.10
# norm 1.27e+18
c5: 211680
c4: 27888457668
c3: -30707314002614800
c2: -457033680365705694301
c1: 74995606544574695438010410
c0: 1800229401639660547285944025875
# alpha -6.47
Y1: 79155702651047
Y0: -1685242049280354239419882
# Murphy_E 1.10e-10
# M 1590663983762522431907323915639751824626006268440442543393364548175785465778167857020397429970250589216784389782494022134624971
type: gnfs
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved algebraic special-q in [5000000, 9400001)
Primes: RFBsize:664579, AFBsize:664026, largePrimes:14317582 encountered
Relations: rels:14420782, finalFF:1501288
Max relations in full relation-set: 28
Initial matrix: 1328687 x 1501288 with sparse part having weight 116492666.
Pruned matrix : 1169118 x 1175825 with weight 77386664.
Total sieving time: 94.61 hours.
Total relation processing time: 0.38 hours.
Matrix solve time: 9.80 hours.
Time per square root: 0.50 hours.
Prototype def-par.txt line would be:
gnfs,126,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,10000000,10000000,28,28,52,52,2.5,2.5,100000
total time: 105.29 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167492k/8912896k available (2127k kernel code, 0k reserved, 1314k data, 212k init)
Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407673)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Total of 4 processors activated (19246.06 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

8×10190-1

c134

name 名前Jo Yeong Uk
date 日付May 28, 2008 12:56:25 UTC 2008 年 5 月 28 日 (水) 21 時 56 分 25 秒 (日本時間)
composite number 合成数
49396184018211872703363301156464019861680357260098919357763832482898095600406839309173237178282301476725054664245512034332052427188401<134>
prime factors 素因数
32138196181722492086192711480655875703076973473<47>
1536993045250756022561115557188611458176946430424547082249899017269102518555851907736337<88>
factorization results 素因数分解の結果
Number: 79999_190
N=49396184018211872703363301156464019861680357260098919357763832482898095600406839309173237178282301476725054664245512034332052427188401
  ( 134 digits)
Divisors found:
 r1=32138196181722492086192711480655875703076973473 (pp47)
 r2=1536993045250756022561115557188611458176946430424547082249899017269102518555851907736337 (pp88)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 290.79 hours.
Scaled time: 686.84 units (timescale=2.362).
Factorization parameters were as follows:
name: 79999_190
n: 49396184018211872703363301156464019861680357260098919357763832482898095600406839309173237178282301476725054664245512034332052427188401
skew: 242940.86
# norm 1.21e+18
c5: 85620
c4: -57151682624
c3: -22590728647291809
c2: 2381445185413331717122
c1: 409182909531414672114959920
c0: -32297630581163036627596487351520
# alpha -5.20
Y1: 459331903161439
Y0: -56522857115853633824740049
# Murphy_E 4.45e-11
# M 32787906899257365478808558482535562409527935353125941152465342791486689256008806739515137488792928799075273456259046471198536266016954
type: gnfs
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved algebraic special-q in [5500000, 10200001)
Primes: RFBsize:726517, AFBsize:726481, largePrimes:14857336 encountered
Relations: rels:15289846, finalFF:1685493
Max relations in full relation-set: 28
Initial matrix: 1453075 x 1685493 with sparse part having weight 147115281.
Pruned matrix : 1241084 x 1248413 with weight 99292092.
Polynomial selection time: 19.85 hours.
Total sieving time: 255.28 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 14.72 hours.
Time per square root: 0.59 hours.
Prototype def-par.txt line would be:
gnfs,133,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,11000000,11000000,28,28,52,52,2.6,2.6,100000
total time: 290.79 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: 8047200k/8912896k available (2439k kernel code, 339088k reserved, 1234k data, 192k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673806)
Calibrating delay using timer specific routine.. 5344.78 BogoMIPS (lpj=2672394)
Calibrating delay using timer specific routine.. 5344.44 BogoMIPS (lpj=2672223)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672388)
execution environment 実行環境
Core 2 Quad Q6700

8×10194-1

c160

name 名前Jo Yeong Uk
date 日付April 17, 2008 03:38:01 UTC 2008 年 4 月 17 日 (木) 12 時 38 分 1 秒 (日本時間)
composite number 合成数
2525904371607269188755403936775172974328956442526406440907999828216671504147601737392400148235936545375436982453487976999546222024135091844815111345354496769209<160>
prime factors 素因数
5565233219278259235319671553<28>
453872150920361109687290122732532032688530998219435391743981449214557842553014055993102429286314732251554440782531327487375989287353<132>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 2525904371607269188755403936775172974328956442526406440907999828216671504147601737392400148235936545375436982453487976999546222024135091844815111345354496769209 (160 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=145200804
Step 1 took 8598ms
Step 2 took 4490ms
********** Factor found in step 2: 5565233219278259235319671553
Found probable prime factor of 28 digits: 5565233219278259235319671553
Probable prime cofactor 453872150920361109687290122732532032688530998219435391743981449214557842553014055993102429286314732251554440782531327487375989287353 has 132 digits
execution environment 実行環境
Core 2 Quad Q6600

8×10203-1

c158

name 名前Sinkiti Sibata
date 日付July 29, 2008 18:24:37 UTC 2008 年 7 月 30 日 (水) 3 時 24 分 37 秒 (日本時間)
composite number 合成数
15820332620517135815850185788934757553957325162042463379218993969913323433479569160676672247488126169673420402837275669890510705781449358570063858645794848119<158>
prime factors 素因数
15964735925805978713074497549589901<35>
990954857884280807155141937143358514822699724692261377137730212333798710863533568558966350673543013087657806107656416640019<123>
factorization results 素因数分解の結果
79999_203
Input Number is 15820332620517135815850185788934757553957325162042463379218993969913323433479569160676672247488126169673420402837275669890510705781449358570063858645794848119
Run 599 out of 904:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3379602799
Step 1 took 19843ms
Step 2 took 8237ms
********** Factor found in step 2: 15964735925805978713074497549589901
Found probable prime factor of 35 digits: 15964735925805978713074497549589901
Probable prime cofactor 990954857884280807155141937143358514822699724692261377137730212333798710863533568558966350673543013087657806107656416640019 has 123 digits
software ソフトウェア
(Enter factorization software informations here, if above results do not include them. For example, 
GMP-ECM 6.2.1)
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 24, 2008 09:00:00 UTC 2008 年 7 月 24 日 (木) 18 時 0 分 0 秒 (日本時間)

8×10205-1

c172

name 名前Beyond
date 日付December 11, 2010 18:23:01 UTC 2010 年 12 月 12 日 (日) 3 時 23 分 1 秒 (日本時間)
composite number 合成数
6110263977156100706449305130079115632916742569811175374750114962168585404081845811264403568979312637303233594111092989798516482964867491941955064939622688650120739812998571<172>
prime factors 素因数
15075116517988670311808039160424110593866763089<47>
composite cofactor 合成数の残り
405321177442636126562595940846204929796876724221302080093938172698996289875524284635727197518234981079420991951834619310522939<126>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 6110263977156100706449305130079115632916742569811175374750114962168585404081845811264403568979312637303233594111092989798516482964867491941955064939622688650120739812998571 (172 digits)
[Sat Dec 11 01:51:08 2010]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1304806515
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
20       25      30      35      40      45      50      55      60      65
2       4       10      34      135     613     3133    17769   111196  751771
Step 1 took 331531ms
Using 21 small primes for NTT
Estimated memory usage: 478M
Initializing tables of differences for F took 219ms
Computing roots of F took 18672ms
Building F from its roots took 12078ms
Computing 1/F took 5609ms
Initializing table of differences for G took 218ms
Computing roots of G took 16391ms
Building G from its roots took 11016ms
Computing roots of G took 16422ms
Building G from its roots took 10969ms
Computing G * H took 3078ms
Reducing  G * H mod F took 3047ms
Computing roots of G took 16219ms
Building G from its roots took 10734ms
Computing G * H took 3015ms
Reducing  G * H mod F took 2922ms
Computing roots of G took 15907ms
Building G from its roots took 10843ms
Computing G * H took 3031ms
Reducing  G * H mod F took 3016ms
Computing polyeval(F,G) took 21109ms
Computing product of all F(g_i) took 141ms
Step 2 took 185297ms
********** Factor found in step 2: 15075116517988670311808039160424110593866763089
Found probable prime factor of 47 digits: 15075116517988670311808039160424110593866763089
Composite cofactor 405321177442636126562595940846204929796876724221302080093938172698996289875524284635727197518234981079420991951834619310522939 has 126 digits
software ソフトウェア
GMP-ECM

c126

name 名前Dmitry Domanov
date 日付December 21, 2010 21:16:06 UTC 2010 年 12 月 22 日 (水) 6 時 16 分 6 秒 (日本時間)
composite number 合成数
405321177442636126562595940846204929796876724221302080093938172698996289875524284635727197518234981079420991951834619310522939<126>
prime factors 素因数
1694455857257362838029507657853192137172548973733749<52>
239204329641662551388065923553051922128751765276175793835193454901521923311<75>
factorization results 素因数分解の結果
N=405321177442636126562595940846204929796876724221302080093938172698996289875524284635727197518234981079420991951834619310522939
  ( 126 digits)
Divisors found:
 r1=1694455857257362838029507657853192137172548973733749 (pp52)
 r2=239204329641662551388065923553051922128751765276175793835193454901521923311 (pp75)
Version: Msieve v. 1.47
Total time: 189.92 hours.
Scaled time: 260.57 units (timescale=1.372).
Factorization parameters were as follows:
# Murphy_E = 1.466e-10, selected by Erik Branger
n: 405321177442636126562595940846204929796876724221302080093938172698996289875524284635727197518234981079420991951834619310522939
Y0: -2615424480548454624397642
Y1: 32394919462639
c0: -352341692109366755463376625817
c1: 11803649336951956898565795
c2: 203397584484650988197
c3: -491644887825919
c4: -1203537768
c5: 3312
skew: 256477.1
type: gnfs
# selected mechanically
rlim: 7400000
alim: 7400000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [3700000, 8000001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 825153 x 825388
Total sieving time: 188.65 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 0.78 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
gnfs,125,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,7400000,7400000,27,27,53,53,2.5,2.5,100000
total time: 189.92 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Xeon(R) CPU           E5504  @ 2.00GHz stepping 05
CPU1: Intel(R) Xeon(R) CPU           E5504  @ 2.00GHz stepping 05
CPU2: Intel(R) Xeon(R) CPU           E5504  @ 2.00GHz stepping 05
CPU3: Intel(R) Xeon(R) CPU           E5504  @ 2.00GHz stepping 05
CPU4: Intel(R) Xeon(R) CPU           E5504  @ 2.00GHz stepping 05
CPU5: Intel(R) Xeon(R) CPU           E5504  @ 2.00GHz stepping 05
CPU6: Intel(R) Xeon(R) CPU           E5504  @ 2.00GHz stepping 05
CPU7: Intel(R) Xeon(R) CPU           E5504  @ 2.00GHz stepping 05
Memory: 8285828k/9437184k available (2630k kernel code, 92872k reserved, 1532k data, 320k init, 7462464k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4000.10 BogoMIPS (lpj=2000051)
Calibrating delay using timer specific routine.. 3999.39 BogoMIPS (lpj=1999698)
Calibrating delay using timer specific routine.. 3999.38 BogoMIPS (lpj=1999692)
Calibrating delay using timer specific routine.. 3999.38 BogoMIPS (lpj=1999692)
Calibrating delay using timer specific routine.. 3999.42 BogoMIPS (lpj=1999710)
Calibrating delay using timer specific routine.. 3999.43 BogoMIPS (lpj=1999717)
Calibrating delay using timer specific routine.. 3999.47 BogoMIPS (lpj=1999735)
Calibrating delay using timer specific routine.. 3999.48 BogoMIPS (lpj=1999743)
Total of 8 processors activated (31996.07 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 24, 2008 09:00:00 UTC 2008 年 7 月 24 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6904Sinkiti SibataAugust 3, 2008 19:32:53 UTC 2008 年 8 月 4 日 (月) 4 時 32 分 53 秒 (日本時間)
403e62350Sinkiti SibataAugust 3, 2008 19:32:53 UTC 2008 年 8 月 4 日 (月) 4 時 32 分 53 秒 (日本時間)
4511e60--
5043e61130 / 2565yoyo@homeFebruary 26, 2010 00:05:06 UTC 2010 年 2 月 26 日 (金) 9 時 5 分 6 秒 (日本時間)
5511e72030 / 17347yoyo@homeDecember 9, 2010 08:35:41 UTC 2010 年 12 月 9 日 (木) 17 時 35 分 41 秒 (日本時間)

8×10206-1

c170

name 名前Sinkiti Sibata
date 日付August 1, 2008 01:33:27 UTC 2008 年 8 月 1 日 (金) 10 時 33 分 27 秒 (日本時間)
composite number 合成数
42626418822604840172098173334880818320537225294947181741042961592958391680695314798229314971658518580998472053287968986315776968375378540443044665760795283585213031976431<170>
prime factors 素因数
41135749498277498847659154913591669404231513839<47>
1036237806348703114978686943063529149880910428973216429428407074021642801060804673132690587919795720559017683362400311580929<124>
factorization results 素因数分解の結果
Factor79991_206
Input number is 42626418822604840172098173334880818320537225294947181741042961592958391680695314798229314971658518580998472053287968986315776968375378540443044665760795283585213031976431

Run 1845 out of 2350:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1065804300
Step 1 took 66862ms
Step 2 took 21278ms
********** Factor found in step 2: 41135749498277498847659154913591669404231513839
Found probable prime factor of 47 digits: 41135749498277498847659154913591669404231513839
Probable prime cofactor 1036237806348703114978686943063529149880910428973216429428407074021642801060804673132690587919795720559017683362400311580929 has 124 digits
software ソフトウェア
(Enter factorization software informations here, if above results do not include them. For example, 
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
3025e4430Makoto KamadaJuly 24, 2008 09:00:00 UTC 2008 年 7 月 24 日 (木) 18 時 0 分 0 秒 (日本時間)

8×10207-1

c115

name 名前Jo Yeong Uk
date 日付July 24, 2008 15:29:28 UTC 2008 年 7 月 25 日 (金) 0 時 29 分 28 秒 (日本時間)
composite number 合成数
2845222765601634215803869063836629035398868860105421171772198973101369113582035289814048310534414748999136765369399<115>
prime factors 素因数
541832960047230906014967345407576299650631<42>
5251106845463258052650105055200096921760782933920709388847288619870698129<73>
factorization results 素因数分解の結果
Number: 79999_207
N=2845222765601634215803869063836629035398868860105421171772198973101369113582035289814048310534414748999136765369399
  ( 115 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=541832960047230906014967345407576299650631 (pp42)
 r2=5251106845463258052650105055200096921760782933920709388847288619870698129 (pp73)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 5.37 hours.
Scaled time: 12.78 units (timescale=2.379).
Factorization parameters were as follows:
n: 2845222765601634215803869063836629035398868860105421171772198973101369113582035289814048310534414748999136765369399
m: 100000000000000000000000
c6: 4
c3: 2
c0: 1
skew: 0.79
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 47/47
Sieved algebraic special-q in [650000, 1800001)
Primes: RFBsize:100021, AFBsize:99911, largePrimes:2422278 encountered
Relations: rels:2600965, finalFF:242584
Max relations in full relation-set: 28
Initial matrix: 199997 x 242584 with sparse part having weight 25213545.
Pruned matrix : 185672 x 186735 with weight 17433607.
Total sieving time: 5.15 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,138,6,0,0,0,0,0,0,0,0,1300000,1300000,25,25,47,47,2.3,2.3,50000
total time: 5.37 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: 8047052k/8912896k available (2459k kernel code, 339236k reserved, 1247k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673804)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672348)
Calibrating delay using timer specific routine.. 5344.23 BogoMIPS (lpj=2672116)
Calibrating delay using timer specific routine.. 5589.60 BogoMIPS (lpj=2794804)
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
3025e4430Makoto KamadaJuly 24, 2008 09:00:00 UTC 2008 年 7 月 24 日 (木) 18 時 0 分 0 秒 (日本時間)

8×10212-1

c188

name 名前Sinkiti Sibata
date 日付July 29, 2008 10:34:38 UTC 2008 年 7 月 29 日 (火) 19 時 34 分 38 秒 (日本時間)
composite number 合成数
17388024415239433232322778569377292816041348424345251683547826750824268001526484123968455862990620162240566947276990196399603629989952541776629944524815969255016754658561516815599252781121<188>
prime factors 素因数
10363055718258968541866287435591<32>
1677885836761735105027686433776347699057186426741928740520860590753000052575004869637655827915676182908115006877848710311065778076524792688071381438849355831<157>
factorization results 素因数分解の結果
79999_212
Input number: 17388024415239433232322778569377292816041348424345251683547826750824268001526484123968455862990620162240566947276990196399603629989952541776629944524815969255016754658561516815599252781121
Run 195 out of 904:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1493123107
Step 1 took 26567ms
Step 2 took 10265ms
********** Factor found in step 2: 10363055718258968541866287435591
Found probable prime factor of 32 digits: 10363055718258968541866287435591
Probable prime cofactor 1677885836761735105027686433776347699057186426741928740520860590753000052575004869637655827915676182908115006877848710311065778076524792688071381438849355831 has 157 digits
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 24, 2008 09:00:00 UTC 2008 年 7 月 24 日 (木) 18 時 0 分 0 秒 (日本時間)

8×10213-1

c111

name 名前Jo Yeong Uk
date 日付July 25, 2008 02:13:35 UTC 2008 年 7 月 25 日 (金) 11 時 13 分 35 秒 (日本時間)
composite number 合成数
490082464760816993503044892873304511247077521030235243425978837079485571213821882640228393121233082755780031501<111>
prime factors 素因数
173118702419871755400126634132558566548011<42>
2830904217224319706645261082037462977679894136530963560822965061287591<70>
factorization results 素因数分解の結果
Number: 79999_213
N=490082464760816993503044892873304511247077521030235243425978837079485571213821882640228393121233082755780031501
  ( 111 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=173118702419871755400126634132558566548011 (pp42)
 r2=2830904217224319706645261082037462977679894136530963560822965061287591 (pp70)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 10.44 hours.
Scaled time: 24.97 units (timescale=2.392).
Factorization parameters were as follows:
n: 490082464760816993503044892873304511247077521030235243425978837079485571213821882640228393121233082755780031501
m: 1000000000000000000000000
c6: 1
c3: 5
c0: 25
skew: 1.71
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved algebraic special-q in [750000, 1550001)
Primes: RFBsize:114155, AFBsize:113645, largePrimes:3474537 encountered
Relations: rels:3489348, finalFF:285283
Max relations in full relation-set: 28
Initial matrix: 227865 x 285283 with sparse part having weight 27887141.
Pruned matrix : 209026 x 210229 with weight 17824594.
Total sieving time: 10.16 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,144,6,0,0,0,0,0,0,0,0,1500000,1500000,26,26,47,47,2.3,2.3,50000
total time: 10.44 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: 8047052k/8912896k available (2459k kernel code, 339236k reserved, 1247k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673804)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672348)
Calibrating delay using timer specific routine.. 5344.23 BogoMIPS (lpj=2672116)
Calibrating delay using timer specific routine.. 5589.60 BogoMIPS (lpj=2794804)
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
3025e4430Makoto KamadaJuly 24, 2008 09:00:00 UTC 2008 年 7 月 24 日 (木) 18 時 0 分 0 秒 (日本時間)

8×10216-1

c123

name 名前Jo Yeong Uk
date 日付July 25, 2008 03:44:02 UTC 2008 年 7 月 25 日 (金) 12 時 44 分 2 秒 (日本時間)
composite number 合成数
359175149600319154503128120953120757714114641926330292520436288764515961111118758547618749529784642631596860590957020382359<123>
prime factors 素因数
147283812222899232001715996680222327<36>
2438660054892819457675742999944584962791806880889823383873998562744490822150544305736417<88>
factorization results 素因数分解の結果
GMP-ECM 6.2 [powered by GMP 4.2.2] [ECM]
Input number is 359175149600319154503128120953120757714114641926330292520436288764515961111118758547618749529784642631596860590957020382359 (123 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2251382922
Step 1 took 6039ms
Step 2 took 2284ms
********** Factor found in step 2: 147283812222899232001715996680222327
Found probable prime factor of 36 digits: 147283812222899232001715996680222327
Probable prime cofactor 2438660054892819457675742999944584962791806880889823383873998562744490822150544305736417 has 88 digits
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
3025e4430Makoto KamadaJuly 24, 2008 09:00:00 UTC 2008 年 7 月 24 日 (木) 18 時 0 分 0 秒 (日本時間)

8×10217-1

c208

name 名前Daniel Morel
date 日付October 3, 2016 21:46:06 UTC 2016 年 10 月 4 日 (火) 6 時 46 分 6 秒 (日本時間)
composite number 合成数
2754774512522592668074957419582072594665116027325499421527672107233991489811941887864030306820667194920872757197046421992031258326946233956939051224334034930818844404151373855485545378251821030287803322390491<208>
prime factors 素因数
336656361662178352019738456002165330458189832718614636995226393604533924789<75>
8182749017191905691868649436712905241862008631210236161080868136273498551313099876570957639790256214410695271658467403330725831325519<133>
factorization results 素因数分解の結果
Polynomial: X^5 - 125 ; m = 10^44
rlim = alim = 25000000
lpbr = lpba = 30
mfbr = mfba = 53
rlambda = alambda = 2.7
skew = 4.7
qintsize = 100000

Matrix : 4195466 x 4195643

time: 151 days or so

p75 = 336656361662178352019738456002165330458189832718614636995226393604533924789
p133 = 8182749017191905691868649436712905241862008631210236161080868136273498551313099876570957639790256214410695271658467403330725831325519
software ソフトウェア
GGNFS-0.77.1 (relations) and msieve 1.52 (matrix)
execution environment 実行環境
Windows 10  (Intel Core I5 3.2 GHz)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 24, 2008 09:00:00 UTC 2008 年 7 月 24 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 22, 2010 07:35:39 UTC 2010 年 6 月 22 日 (火) 16 時 35 分 39 秒 (日本時間)
403e62144110Ignacio SantosJune 22, 2010 07:35:39 UTC 2010 年 6 月 22 日 (火) 16 時 35 分 39 秒 (日本時間)
2034Wataru SakaiJuly 6, 2010 02:20:50 UTC 2010 年 7 月 6 日 (火) 11 時 20 分 50 秒 (日本時間)
4511e6403232Ignacio SantosJune 22, 2010 07:35:39 UTC 2010 年 6 月 22 日 (火) 16 時 35 分 39 秒 (日本時間)
4000Wataru SakaiJune 1, 2011 08:29:02 UTC 2011 年 6 月 1 日 (水) 17 時 29 分 2 秒 (日本時間)
5043e60--
5511e75470 / 175002735yoyo@homeDecember 7, 2011 00:35:44 UTC 2011 年 12 月 7 日 (水) 9 時 35 分 44 秒 (日本時間)
2735yoyo@homeMay 12, 2012 09:48:22 UTC 2012 年 5 月 12 日 (土) 18 時 48 分 22 秒 (日本時間)

8×10219-1

c118

name 名前Robert Backstrom
date 日付July 25, 2008 04:05:55 UTC 2008 年 7 月 25 日 (金) 13 時 5 分 55 秒 (日本時間)
composite number 合成数
6608513507776480022228840485350001213348253471579081792686090274540716208158053294465809266035851477040086204224138939<118>
prime factors 素因数
78804181274997851192664174029191<32>
83859934851872620017547819860052379897723933994052604566651127218360972849629908176429<86>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 6608513507776480022228840485350001213348253471579081792686090274540716208158053294465809266035851477040086204224138939 (118 digits)
Using B1=720000, B2=696728352, polynomial Dickson(3), sigma=3826586723
Step 1 took 6266ms
Step 2 took 3141ms
********** Factor found in step 2: 78804181274997851192664174029191
Found probable prime factor of 32 digits: 78804181274997851192664174029191
Probable prime cofactor 83859934851872620017547819860052379897723933994052604566651127218360972849629908176429 has 86 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 24, 2008 09:00:00 UTC 2008 年 7 月 24 日 (木) 18 時 0 分 0 秒 (日本時間)

8×10220-1

c197

name 名前Jo Yeong Uk
date 日付August 11, 2010 00:55:55 UTC 2010 年 8 月 11 日 (水) 9 時 55 分 55 秒 (日本時間)
composite number 合成数
46306696425497388519340233472175987643115126030864710153839105852949247389361465845828864013338600142081055865034011444916102327659963822677709376922776578825970007360660185240970105097148810477697<197>
prime factors 素因数
1713791560608001570976265502834898617097<40>
composite cofactor 合成数の残り
27020028275240875197314350021243885464299650625873810041689908125767564391304211829043015170858713916593412994689276467525627610834359159163970986587356239801<158>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.0 and --enable-asm-redc] [ECM]
Input number is 46306696425497388519340233472175987643115126030864710153839105852949247389361465845828864013338600142081055865034011444916102327659963822677709376922776578825970007360660185240970105097148810477697 (197 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=7217862000
Step 1 took 6602ms
Step 2 took 3238ms
********** Factor found in step 2: 1713791560608001570976265502834898617097
Found probable prime factor of 40 digits: 1713791560608001570976265502834898617097
Composite cofactor 27020028275240875197314350021243885464299650625873810041689908125767564391304211829043015170858713916593412994689276467525627610834359159163970986587356239801 has 158 digits
execution environment 実行環境
Core 2 Quad Q6700

c158

name 名前Jo Yeong Uk
date 日付December 27, 2010 05:43:39 UTC 2010 年 12 月 27 日 (月) 14 時 43 分 39 秒 (日本時間)
composite number 合成数
27020028275240875197314350021243885464299650625873810041689908125767564391304211829043015170858713916593412994689276467525627610834359159163970986587356239801<158>
prime factors 素因数
89389128714180679249931477121003385930680497<44>
302274210118287254075232155282921953289188042928587777043721005957305219871842731084031219076853884190428612772233<114>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.0 and --enable-asm-redc] [ECM]
Input number is 27020028275240875197314350021243885464299650625873810041689908125767564391304211829043015170858713916593412994689276467525627610834359159163970986587356239801 (158 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=853790771
Step 1 took 15502ms
Step 2 took 6076ms
********** Factor found in step 2: 89389128714180679249931477121003385930680497
Found probable prime factor of 44 digits: 89389128714180679249931477121003385930680497
Probable prime cofactor 302274210118287254075232155282921953289188042928587777043721005957305219871842731084031219076853884190428612772233 has 114 digits
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
3025e4430Makoto KamadaJuly 24, 2008 09:00:00 UTC 2008 年 7 月 24 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkAugust 27, 2010 14:50:07 UTC 2010 年 8 月 27 日 (金) 23 時 50 分 7 秒 (日本時間)

8×10223-1

c194

name 名前Erik Branger
date 日付May 29, 2018 05:04:41 UTC 2018 年 5 月 29 日 (火) 14 時 4 分 41 秒 (日本時間)
composite number 合成数
86262340845684898143004086712411914462542239386430355753312899195261967456357851960174348898301319001615375486241905987044915399577175740223689196674728999618231412573466182345666536752163494911<194>
prime factors 素因数
7739355964180389513002376229493449955344993125007373643592318880512219<70>
11145932716485437103784315139896724605864894058399556537316992183825498304868043543757298563509373165675501674997190371332269<125>
factorization results 素因数分解の結果
Number: 79999_223
N = 86262340845684898143004086712411914462542239386430355753312899195261967456357851960174348898301319001615375486241905987044915399577175740223689196674728999618231412573466182345666536752163494911 (194 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=7739355964180389513002376229493449955344993125007373643592318880512219 (pp70)
r2=11145932716485437103784315139896724605864894058399556537316992183825498304868043543757298563509373165675501674997190371332269 (pp125)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 168.11 hours.
Factorization parameters were as follows:
n: 86262340845684898143004086712411914462542239386430355753312899195261967456357851960174348898301319001615375486241905987044915399577175740223689196674728999618231412573466182345666536752163494911
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 8000
c0: -1
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 1073741824
lpbr: 29
lpba: 30
mfbr: 58
mfba: 60
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/1073741824
Large primes per side: 3
Large prime bits: 29/30
Total raw relations: 50537494
Relations: 12155064 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 74.76 hours.
Total relation processing time: 0.53 hours.
Pruned matrix : 10126221 x 10126446
Matrix solve time: 91.74 hours.
time per square root: 1.08 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,1073741824,29,30,58,60,2.8,2.8,100000
total time: 168.11 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.16299-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_Factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 24, 2008 09:00:00 UTC 2008 年 7 月 24 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkAugust 27, 2010 14:50:16 UTC 2010 年 8 月 27 日 (金) 23 時 50 分 16 秒 (日本時間)
403e62111Jo Yeong UkFebruary 4, 2011 02:18:11 UTC 2011 年 2 月 4 日 (金) 11 時 18 分 11 秒 (日本時間)
4511e63974Jo Yeong UkApril 27, 2013 12:29:11 UTC 2013 年 4 月 27 日 (土) 21 時 29 分 11 秒 (日本時間)
5043e66600Erik BrangerOctober 12, 2017 18:19:20 UTC 2017 年 10 月 13 日 (金) 3 時 19 分 20 秒 (日本時間)

8×10224-1

c206

name 名前Erik Branger
date 日付June 7, 2018 17:42:46 UTC 2018 年 6 月 8 日 (金) 2 時 42 分 46 秒 (日本時間)
composite number 合成数
26582624898088268458525485967685533114726102247032184064107102154612767510843394647982313692126079274668399015903173143391066945589480108775802488297230318786644603729866945298075686177706304423005631346881<206>
prime factors 素因数
612942429276982431838688981287763559008932750334536016517838340606177<69>
43368877121860740704571481689587997875151218138476817466543690311188819184341889825511910573436098010275997031022846181175797922308803553<137>
factorization results 素因数分解の結果
Number: 79999_224
N = 26582624898088268458525485967685533114726102247032184064107102154612767510843394647982313692126079274668399015903173143391066945589480108775802488297230318786644603729866945298075686177706304423005631346881 (206 digits)
SNFS difficulty: 225 digits.
Divisors found:
r1=612942429276982431838688981287763559008932750334536016517838340606177 (pp69)
r2=43368877121860740704571481689587997875151218138476817466543690311188819184341889825511910573436098010275997031022846181175797922308803553 (pp137)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 235.02 hours.
Factorization parameters were as follows:
n: 26582624898088268458525485967685533114726102247032184064107102154612767510843394647982313692126079274668399015903173143391066945589480108775802488297230318786644603729866945298075686177706304423005631346881
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 80000
c0: -1
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 1073741824
lpbr: 29
lpba: 30
mfbr: 58
mfba: 60
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/1073741824
Large primes per side: 3
Large prime bits: 29/30
Total raw relations: 50907417
Relations: 15875296 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 84.40 hours.
Total relation processing time: 0.49 hours.
Pruned matrix : 12858571 x 12858796
Matrix solve time: 149.62 hours.
time per square root: 0.51 hours.
Prototype def-par.txt line would be: snfs,225,4,0,0,0,0,0,0,0,0,536870912,1073741824,29,30,58,60,2.8,2.8,100000
total time: 235.02 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.16299-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 24, 2008 09:00:00 UTC 2008 年 7 月 24 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6904Serge BatalovSeptember 9, 2008 08:18:31 UTC 2008 年 9 月 9 日 (火) 17 時 18 分 31 秒 (日本時間)
403e62089Jo Yeong UkFebruary 4, 2011 02:18:25 UTC 2011 年 2 月 4 日 (金) 11 時 18 分 25 秒 (日本時間)
4511e63975Jo Yeong UkApril 27, 2013 12:29:21 UTC 2013 年 4 月 27 日 (土) 21 時 29 分 21 秒 (日本時間)

8×10226-1

c212

name 名前Jo Yeong Uk
date 日付August 21, 2010 00:55:18 UTC 2010 年 8 月 21 日 (土) 9 時 55 分 18 秒 (日本時間)
composite number 合成数
12718043865144421277185130359603035929931182584068045482004585094500125941908920992295825274145116710404823304217397711377846932852033804358039407595471072349697687035272266232586089133713608237446044047645948521<212>
prime factors 素因数
984281432944050001459910657920663331633<39>
composite cofactor 合成数の残り
12921145761232051365599969845351415766385058671541414884688155567383766664626175297780430037478414454340848687965959973261177403022489554397844889598923074335003191823895737<173>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.0 and --enable-asm-redc] [ECM]
Input number is 12718043865144421277185130359603035929931182584068045482004585094500125941908920992295825274145116710404823304217397711377846932852033804358039407595471072349697687035272266232586089133713608237446044047645948521 (212 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=8108544433
Step 1 took 6624ms
Step 2 took 3457ms
********** Factor found in step 2: 984281432944050001459910657920663331633
Found probable prime factor of 39 digits: 984281432944050001459910657920663331633
Composite cofactor 12921145761232051365599969845351415766385058671541414884688155567383766664626175297780430037478414454340848687965959973261177403022489554397844889598923074335003191823895737 has 173 digits
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
3025e4430Makoto KamadaJuly 24, 2008 09:00:00 UTC 2008 年 7 月 24 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkAugust 27, 2010 14:50:25 UTC 2010 年 8 月 27 日 (金) 23 時 50 分 25 秒 (日本時間)
403e62111Jo Yeong UkFebruary 4, 2011 02:18:33 UTC 2011 年 2 月 4 日 (金) 11 時 18 分 33 秒 (日本時間)
4511e63974Jo Yeong UkApril 27, 2013 12:29:31 UTC 2013 年 4 月 27 日 (土) 21 時 29 分 31 秒 (日本時間)
5043e66600Erik BrangerOctober 24, 2017 16:06:31 UTC 2017 年 10 月 25 日 (水) 1 時 6 分 31 秒 (日本時間)

8×10227-1

c213

name 名前Jo Yeong Uk
date 日付August 23, 2010 01:41:08 UTC 2010 年 8 月 23 日 (月) 10 時 41 分 8 秒 (日本時間)
composite number 合成数
430692956708964519360224264594778522180352709486177502059892160270814464421694593423659534412490515446267741635641464915177477852701294724026276572166946526734871328650639648316104942366059313521080808689065537249<213>
prime factors 素因数
23364366670383454093796276796803431432717061<44>
18433752679241616328876976195008577361932773067239046718810748603190902860676184434032467445046332587625855426144581618768623013562960991164760602586403871455738275281709<170>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.0 and --enable-asm-redc] [ECM]
Input number is 430692956708964519360224264594778522180352709486177502059892160270814464421694593423659534412490515446267741635641464915177477852701294724026276572166946526734871328650639648316104942366059313521080808689065537249 (213 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3038002808
Step 1 took 7856ms
Step 2 took 3624ms
********** Factor found in step 2: 23364366670383454093796276796803431432717061
Found probable prime factor of 44 digits: 23364366670383454093796276796803431432717061
Probable prime cofactor 18433752679241616328876976195008577361932773067239046718810748603190902860676184434032467445046332587625855426144581618768623013562960991164760602586403871455738275281709 has 170 digits
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
3025e4430Makoto KamadaJuly 24, 2008 09:00:00 UTC 2008 年 7 月 24 日 (木) 18 時 0 分 0 秒 (日本時間)

8×10228-1

c139

name 名前Jo Yeong Uk
date 日付July 26, 2008 00:54:34 UTC 2008 年 7 月 26 日 (土) 9 時 54 分 34 秒 (日本時間)
composite number 合成数
1480574505473238989199098674408682671411071598963681517151759583539213670859023764835487170244141115567827261158255099210189135575118507711<139>
prime factors 素因数
1528903929139327175345777358726109783347673<43>
968389496066443829563630012210817722372169284170780283664563868997439143831062269183972619538007<96>
factorization results 素因数分解の結果
Number: 79999_228
N=1480574505473238989199098674408682671411071598963681517151759583539213670859023764835487170244141115567827261158255099210189135575118507711
  ( 139 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=1528903929139327175345777358726109783347673 (pp43)
 r2=968389496066443829563630012210817722372169284170780283664563868997439143831062269183972619538007 (pp96)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 20.80 hours.
Scaled time: 49.37 units (timescale=2.374).
Factorization parameters were as follows:
n: 1480574505473238989199098674408682671411071598963681517151759583539213670859023764835487170244141115567827261158255099210189135575118507711
m: 20000000000000000000000000
c6: 25
c3: 10
c0: 4
skew: 0.74
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2600001)
Primes: RFBsize:176302, AFBsize:175893, largePrimes:5789972 encountered
Relations: rels:5766761, finalFF:478712
Max relations in full relation-set: 28
Initial matrix: 352261 x 478712 with sparse part having weight 49162015.
Pruned matrix : 300961 x 302786 with weight 30294030.
Total sieving time: 20.06 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.60 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,153,6,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 20.80 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: 8047052k/8912896k available (2459k kernel code, 339236k reserved, 1247k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673804)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672348)
Calibrating delay using timer specific routine.. 5344.23 BogoMIPS (lpj=2672116)
Calibrating delay using timer specific routine.. 5589.60 BogoMIPS (lpj=2794804)
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
3025e4430Makoto KamadaJuly 24, 2008 09:00:00 UTC 2008 年 7 月 24 日 (木) 18 時 0 分 0 秒 (日本時間)

8×10229-1

c224

name 名前Serge Batalov
date 日付September 6, 2008 00:52:53 UTC 2008 年 9 月 6 日 (土) 9 時 52 分 53 秒 (日本時間)
composite number 合成数
18325334706511747341280267439934706832440698644223018407111512639556013790730633385415461680465261922863626753247764710032502271768836897878178214338154194405687634132860051022313156605332534959584619638207498223015200177939<224>
prime factors 素因数
22899378996803067916894382980974701<35>
800254657956886391196780894633531374565554844629496936038376921729764352514694201229462957643423367969876748771951592669068650319491433270363334538454741598932512755263816205496476120544639<189>
factorization results 素因数分解の結果
# there goes a big number
#
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=754930536
Step 1 took 37320ms
Step 2 took 27701ms
********** Factor found in step 2: 22899378996803067916894382980974701
Found probable prime factor of 35 digits: 22899378996803067916894382980974701
Probable prime cofactor 800254657956886391196780894633531374565554844629496936038376921729764352514694201229462957643423367969876748771951592669068650319491433270363334538454741598932512755263816205496476120544639 has 189 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
3025e4430Makoto KamadaJuly 24, 2008 09:00:00 UTC 2008 年 7 月 24 日 (木) 18 時 0 分 0 秒 (日本時間)

8×10230-1

c223

name 名前Markus Tervooren
date 日付August 30, 2009 15:44:05 UTC 2009 年 8 月 31 日 (月) 0 時 44 分 5 秒 (日本時間)
composite number 合成数
4655299050970153556843124632766006973742722581936856606029670187715681823507638999504775106081608777314974455472143135641966350136784615321321222518540412217536747781431405183921060280204661144942753409327172130386523602887<223>
prime factors 素因数
7194989070351007241001770794481202899232920377811344337193524816903113<70>
28405869825449471447004672858393144480378760112284964510299428948566224457<74>
22777672993897316831397692267111749997397458530603944165484429112280289213344407<80>
factorization results 素因数分解の結果
Sieving took ~191 CPU-days  @ 2.66Ghz Core 2 + 120 CPU-days @2.00 Ghz P4

Sat Aug 22 14:08:04 2009  commencing relation filtering
Sat Aug 22 14:08:04 2009  estimated available RAM is 8010.2 MB
Sat Aug 22 14:08:04 2009  commencing duplicate removal, pass 1
-- some errors snipped
Sat Aug 22 14:19:35 2009  found 17364933 hash collisions in 92302860 relations
Sat Aug 22 14:19:55 2009  added 419490 free relations
Sat Aug 22 14:19:55 2009  commencing duplicate removal, pass 2
Sat Aug 22 14:24:57 2009  found 17849103 duplicates and 74873247 unique relations
Sat Aug 22 14:24:57 2009  memory use: 426.4 MB
Sat Aug 22 14:24:57 2009  reading ideals above 53280768
Sat Aug 22 14:24:57 2009  commencing singleton removal, initial pass
Sat Aug 22 14:38:55 2009  memory use: 1193.5 MB
Sat Aug 22 14:38:55 2009  reading all ideals from disk
Sat Aug 22 14:39:25 2009  memory use: 1323.7 MB
Sat Aug 22 14:39:34 2009  commencing in-memory singleton removal
Sat Aug 22 14:39:42 2009  begin with 74873247 relations and 74233171 unique ideals
Sat Aug 22 14:41:11 2009  reduce to 32087832 relations and 25064968 ideals in 19 passes
Sat Aug 22 14:41:11 2009  max relations containing the same ideal: 21
Sat Aug 22 14:41:16 2009  reading ideals above 720000
Sat Aug 22 14:41:16 2009  commencing singleton removal, initial pass
Sat Aug 22 14:48:39 2009  memory use: 596.8 MB
Sat Aug 22 14:48:39 2009  reading all ideals from disk
Sat Aug 22 14:49:00 2009  memory use: 1198.3 MB
Sat Aug 22 14:49:10 2009  keeping 31255991 ideals with weight <= 200, target excess is 177317
Sat Aug 22 14:49:19 2009  commencing in-memory singleton removal
Sat Aug 22 14:49:28 2009  begin with 32087840 relations and 31255991 unique ideals
Sat Aug 22 14:51:30 2009  reduce to 32043145 relations and 31211249 ideals in 14 passes
Sat Aug 22 14:51:30 2009  max relations containing the same ideal: 200
Sat Aug 22 14:52:11 2009  removing 3404380 relations and 3091276 ideals in 313104 cliques
Sat Aug 22 14:52:12 2009  commencing in-memory singleton removal
Sat Aug 22 14:52:21 2009  begin with 28638765 relations and 31211249 unique ideals
Sat Aug 22 14:54:01 2009  reduce to 28324631 relations and 27801343 ideals in 13 passes
Sat Aug 22 14:54:01 2009  max relations containing the same ideal: 192
Sat Aug 22 14:54:36 2009  removing 2504006 relations and 2190902 ideals in 313104 cliques
Sat Aug 22 14:54:38 2009  commencing in-memory singleton removal
Sat Aug 22 14:54:45 2009  begin with 25820625 relations and 27801343 unique ideals
Sat Aug 22 14:56:01 2009  reduce to 25626526 relations and 25413937 ideals in 11 passes
Sat Aug 22 14:56:01 2009  max relations containing the same ideal: 182
Sat Aug 22 14:56:43 2009  relations with 0 large ideals: 6650
Sat Aug 22 14:56:43 2009  relations with 1 large ideals: 776
Sat Aug 22 14:56:43 2009  relations with 2 large ideals: 9374
Sat Aug 22 14:56:43 2009  relations with 3 large ideals: 93183
Sat Aug 22 14:56:43 2009  relations with 4 large ideals: 547174
Sat Aug 22 14:56:43 2009  relations with 5 large ideals: 1991731
Sat Aug 22 14:56:43 2009  relations with 6 large ideals: 4560537
Sat Aug 22 14:56:43 2009  relations with 7+ large ideals: 18417101
Sat Aug 22 14:56:43 2009  commencing 2-way merge
Sat Aug 22 14:57:27 2009  reduce to 15063412 relation sets and 14850827 unique ideals
Sat Aug 22 14:57:27 2009  ignored 4 oversize relation sets
Sat Aug 22 14:57:27 2009  commencing full merge
Sat Aug 22 15:04:59 2009  memory use: 1764.4 MB
Sat Aug 22 15:05:01 2009  found 7950941 cycles, need 7925027
Sat Aug 22 15:05:06 2009  weight of 7925027 cycles is about 554942333 (70.02/cycle)
Sat Aug 22 15:05:06 2009  distribution of cycle lengths:
Sat Aug 22 15:05:06 2009  1 relations: 1169843
Sat Aug 22 15:05:06 2009  2 relations: 1106346
Sat Aug 22 15:05:06 2009  3 relations: 1021429
Sat Aug 22 15:05:06 2009  4 relations: 874258
Sat Aug 22 15:05:06 2009  5 relations: 743662
Sat Aug 22 15:05:06 2009  6 relations: 615047
Sat Aug 22 15:05:06 2009  7 relations: 500678
Sat Aug 22 15:05:06 2009  8 relations: 404363
Sat Aug 22 15:05:06 2009  9 relations: 328390
Sat Aug 22 15:05:06 2009  10+ relations: 1161011
Sat Aug 22 15:05:06 2009  heaviest cycle: 26 relations
Sat Aug 22 15:05:09 2009  commencing cycle optimization
Sat Aug 22 15:05:30 2009  start with 42060266 relations
Sat Aug 22 15:06:59 2009  pruned 704586 relations
Sat Aug 22 15:06:59 2009  memory use: 1471.4 MB
Sat Aug 22 15:06:59 2009  distribution of cycle lengths:
Sat Aug 22 15:06:59 2009  1 relations: 1169843
Sat Aug 22 15:06:59 2009  2 relations: 1125822
Sat Aug 22 15:06:59 2009  3 relations: 1048997
Sat Aug 22 15:06:59 2009  4 relations: 885549
Sat Aug 22 15:06:59 2009  5 relations: 751949
Sat Aug 22 15:06:59 2009  6 relations: 615186
Sat Aug 22 15:06:59 2009  7 relations: 497737
Sat Aug 22 15:06:59 2009  8 relations: 399716
Sat Aug 22 15:06:59 2009  9 relations: 322988
Sat Aug 22 15:06:59 2009  10+ relations: 1107240
Sat Aug 22 15:06:59 2009  heaviest cycle: 26 relations
Sat Aug 22 15:07:18 2009  RelProcTime: 3554
Sat Aug 22 15:07:18 2009  elapsed time 00:59:16

Sat Aug 22 15:45:07 2009  commencing linear algebra
Sat Aug 22 15:45:08 2009  read 7925027 cycles
Sat Aug 22 15:45:25 2009  cycles contain 25287775 unique relations
Sat Aug 22 15:50:50 2009  read 25287775 relations
Sat Aug 22 15:51:38 2009  using 20 quadratic characters above 1073741312
Sat Aug 22 15:54:07 2009  building initial matrix
Sat Aug 22 15:59:14 2009  memory use: 3135.0 MB
Sat Aug 22 15:59:21 2009  read 7925027 cycles
Sat Aug 22 15:59:29 2009  matrix is 7924849 x 7925027 (2395.5 MB) with weight 696021674 (87.83/col)
Sat Aug 22 15:59:29 2009  sparse part has weight 540796398 (68.24/col)
Sat Aug 22 16:01:56 2009  filtering completed in 2 passes
Sat Aug 22 16:01:58 2009  matrix is 7915028 x 7915206 (2394.8 MB) with weight 695762853 (87.90/col)
Sat Aug 22 16:01:58 2009  sparse part has weight 540725492 (68.31/col)
Sat Aug 22 16:03:01 2009  read 7915206 cycles
Sat Aug 22 16:03:05 2009  matrix is 7915028 x 7915206 (2394.8 MB) with weight 695762853 (87.90/col)
Sat Aug 22 16:03:05 2009  sparse part has weight 540725492 (68.31/col)
Sat Aug 22 16:03:05 2009  saving the first 48 matrix rows for later
Sat Aug 22 16:03:09 2009  matrix is 7914980 x 7915206 (2286.5 MB) with weight 561446210 (70.93/col)
Sat Aug 22 16:03:09 2009  sparse part has weight 520247528 (65.73/col)
Sat Aug 22 16:03:09 2009  matrix includes 64 packed rows
Sat Aug 22 16:03:09 2009  using block size 65536 for processor cache size 4096 kB
Sat Aug 22 16:03:42 2009  commencing Lanczos iteration (4 threads)
Sat Aug 22 16:03:42 2009  memory use: 2480.9 MB
Sun Aug 30 13:18:16 2009  lanczos halted after 125170 iterations (dim = 7914978)
Sun Aug 30 13:18:31 2009  recovered 38 nontrivial dependencies
Sun Aug 30 13:18:31 2009  BLanczosTime: 682404
Sun Aug 30 13:18:31 2009  elapsed time 189:33:27



Sun Aug 30 15:39:04 2009  commencing square root phase
Sun Aug 30 15:39:04 2009  reading relations for dependency 5
Sun Aug 30 15:39:16 2009  read 3957653 cycles
Sun Aug 30 15:39:31 2009  cycles contain 15233059 unique relations
Sun Aug 30 15:44:24 2009  read 15233059 relations
Sun Aug 30 15:47:18 2009  multiplying 12643428 relations
Sun Aug 30 16:39:02 2009  sqrtTime: 11943
Sun Aug 30 16:39:02 2009  prp70 factor: 7194989070351007241001770794481202899232920377811344337193524816903113
Sun Aug 30 16:39:02 2009  prp74 factor: 28405869825449471447004672858393144480378760112284964510299428948566224457
Sun Aug 30 16:39:02 2009  prp80 factor: 22777672993897316831397692267111749997397458530603944165484429112280289213344407
Sun Aug 30 16:39:02 2009  elapsed time 03:19:06
software ソフトウェア
gnfs-lasieve4I14e / gnfs-lasieve4I15e, msieve 1.42
execution environment 実行環境
Q6700: Sieving, relation processing, matrix solving
P4/2000: Sieving

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 24, 2008 09:00:00 UTC 2008 年 7 月 24 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6820Serge BatalovNovember 13, 2008 21:34:34 UTC 2008 年 11 月 14 日 (金) 6 時 34 分 34 秒 (日本時間)
403e6440Serge BatalovNovember 13, 2008 21:34:34 UTC 2008 年 11 月 14 日 (金) 6 時 34 分 34 秒 (日本時間)
4511e6203030Serge BatalovNovember 13, 2008 21:34:34 UTC 2008 年 11 月 14 日 (金) 6 時 34 分 34 秒 (日本時間)
2000Serge BatalovJanuary 1, 2009 22:30:30 UTC 2009 年 1 月 2 日 (金) 7 時 30 分 30 秒 (日本時間)
5043e67400800Serge BatalovJanuary 3, 2009 06:43:31 UTC 2009 年 1 月 3 日 (土) 15 時 43 分 31 秒 (日本時間)
800Markus TervoorenJuly 26, 2009 20:56:49 UTC 2009 年 7 月 27 日 (月) 5 時 56 分 49 秒 (日本時間)
800Markus TervoorenJuly 26, 2009 22:39:59 UTC 2009 年 7 月 27 日 (月) 7 時 39 分 59 秒 (日本時間)
5000Markus TervoorenAugust 7, 2009 01:02:09 UTC 2009 年 8 月 7 日 (金) 10 時 2 分 9 秒 (日本時間)
5511e74400 / 14998Markus TervoorenAugust 12, 2009 14:10:56 UTC 2009 年 8 月 12 日 (水) 23 時 10 分 56 秒 (日本時間)

8×10231-1

c146

name 名前Jo Yeong Uk
date 日付July 27, 2008 02:04:51 UTC 2008 年 7 月 27 日 (日) 11 時 4 分 51 秒 (日本時間)
composite number 合成数
28692697005138993302709192211409576219617822299744756725421307261784974933066555140257538805109891878235215013147269934963361194111890447242902641<146>
prime factors 素因数
86993443529090471243193900012390628379624840454127261893376643990701<68>
329825971258905280264523732622444591114643795678979992003823731515025390553941<78>
factorization results 素因数分解の結果
Number: 79999_231
N=28692697005138993302709192211409576219617822299744756725421307261784974933066555140257538805109891878235215013147269934963361194111890447242902641
  ( 146 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=86993443529090471243193900012390628379624840454127261893376643990701 (pp68)
 r2=329825971258905280264523732622444591114643795678979992003823731515025390553941 (pp78)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 24.78 hours.
Scaled time: 59.18 units (timescale=2.388).
Factorization parameters were as follows:
n: 28692697005138993302709192211409576219617822299744756725421307261784974933066555140257538805109891878235215013147269934963361194111890447242902641
m: 100000000000000000000000000
c6: 1
c3: 5
c0: 25
skew: 1.71
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 3100001)
Primes: RFBsize:216816, AFBsize:216710, largePrimes:5807273 encountered
Relations: rels:5811297, finalFF:564255
Max relations in full relation-set: 28
Initial matrix: 433591 x 564255 with sparse part having weight 50527041.
Pruned matrix : 358974 x 361205 with weight 33138080.
Total sieving time: 23.66 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.98 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,156,6,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 24.78 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: 8047052k/8912896k available (2459k kernel code, 339236k reserved, 1247k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673804)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672348)
Calibrating delay using timer specific routine.. 5344.23 BogoMIPS (lpj=2672116)
Calibrating delay using timer specific routine.. 5589.60 BogoMIPS (lpj=2794804)
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
3025e4430Makoto KamadaJuly 24, 2008 09:00:00 UTC 2008 年 7 月 24 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6316 / 825Jo Yeong UkJuly 25, 2008 08:37:56 UTC 2008 年 7 月 25 日 (金) 17 時 37 分 56 秒 (日本時間)

8×10233-1

c142

name 名前matsui
date 日付October 20, 2009 21:20:00 UTC 2009 年 10 月 21 日 (水) 6 時 20 分 0 秒 (日本時間)
composite number 合成数
8733638945678575210192171022888274858270746192656520260829050364149960473732896910446297879380855039388000593643582111989506447519057310054259<142>
prime factors 素因数
1785804940045810268542281264886517345574261488360972972534774913824921<70>
4890589531830131453443601232937114394472385643177136672532799323334425579<73>
factorization results 素因数分解の結果
N=8733638945678575210192171022888274858270746192656520260829050364149960473732896910446297879380855039388000593643582111989506447519057310054259
  ( 142 digits)
Divisors found:
 r1=1785804940045810268542281264886517345574261488360972972534774913824921 (pp70)
 r2=4890589531830131453443601232937114394472385643177136672532799323334425579 (pp73)
Version: Msieve v. 1.43
Total time: 1342.16 hours.
Scaled time: 2533.99 units (timescale=1.888).
Factorization parameters were as follows:
name: 7000
n: 8733638945678575210192171022888274858270746192656520260829050364149960473732896910446297879380855039388000593643582111989506447519057310054259
skew: 39478.21
# norm 4.84e+18
c5: 9922500
c4: -6744744256836
c3: -44821959062049922
c2: 10988881498159521937057
c1: 22740484884858987376479382
c0: -287570098211633116512417041221
# alpha -3.80
Y1: 6452082614797201
Y0: -974799316644565507313460462
# Murphy_E 1.22e-11
# M 3435918130069844254378482473890559378131699265221876409311131180564615316974237565411588830396621180889267775934771369077552493459036293694981
type: gnfs
qintsize: 800000
Factor base limits: 13600000/13600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [6800000, 21200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2568303 x 2568529
Total sieving time: 1332.71 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 8.09 hours.
Time per square root: 1.19 hours.
Prototype def-par.txt line would be:
gnfs,141,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,13600000,13600000,28,28,56,56,2.5,2.5,100000
total time: 1342.16 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 24, 2008 09:00:00 UTC 2008 年 7 月 24 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62400400Serge BatalovNovember 21, 2008 04:04:13 UTC 2008 年 11 月 21 日 (金) 13 時 4 分 13 秒 (日本時間)
1000Serge BatalovNovember 21, 2008 04:50:45 UTC 2008 年 11 月 21 日 (金) 13 時 50 分 45 秒 (日本時間)
1000Serge BatalovNovember 21, 2008 06:43:15 UTC 2008 年 11 月 21 日 (金) 15 時 43 分 15 秒 (日本時間)
4511e61500 / 3948Serge BatalovJanuary 9, 2009 18:36:29 UTC 2009 年 1 月 10 日 (土) 3 時 36 分 29 秒 (日本時間)

8×10234-1

c109

name 名前Robert Backstrom
date 日付July 25, 2008 15:03:31 UTC 2008 年 7 月 26 日 (土) 0 時 3 分 31 秒 (日本時間)
composite number 合成数
1351449895989687962880757239485494608558029508437965645529620904507286128520390416692603853519156577248930671<109>
prime factors 素因数
282121745180560667036164213290041989056941689<45>
4790307443776610893726570695190991776424749473108915987693203239<64>
factorization results 素因数分解の結果
Number: n
N=1351449895989687962880757239485494608558029508437965645529620904507286128520390416692603853519156577248930671
  ( 109 digits)
Divisors found:
 r1=282121745180560667036164213290041989056941689 (pp45)
 r2=4790307443776610893726570695190991776424749473108915987693203239 (pp64)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 11.28 hours.
Scaled time: 20.56 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_7_9_234
n: 1351449895989687962880757239485494608558029508437965645529620904507286128520390416692603853519156577248930671
skew: 23681.14
# norm 8.45e+14
c5: 35400
c4: 909978134
c3: -10843425355649
c2: -859297610146079263
c1: 1071555635925958284545
c0: 159770744406752924182690785
# alpha -5.97
Y1: 174057782899
Y0: -520425527026525197052
# Murphy_E 1.21e-09
# M 430725653313612678331739255995629435060729388392356940731188563969563801629981448267959244966784299042202987
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [100000, 1500001)
Primes: RFBsize:230209, AFBsize:230422, largePrimes:6728311 encountered
Relations: rels:6387483, finalFF:548322
Max relations in full relation-set: 48
Initial matrix: 460713 x 548322 with sparse part having weight 36052224.
Pruned matrix : 375310 x 377677 with weight 17297185.
Polynomial selection time: 1.36 hours.
Total sieving time: 8.95 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.69 hours.
Total square root time: 0.10 hours, sqrts: 1.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 11.28 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 24, 2008 09:00:00 UTC 2008 年 7 月 24 日 (木) 18 時 0 分 0 秒 (日本時間)

8×10235-1

c196

name 名前Erik Branger
date 日付October 25, 2017 08:45:54 UTC 2017 年 10 月 25 日 (水) 17 時 45 分 54 秒 (日本時間)
composite number 合成数
3703032225324874024148076437365912582279426752682415903758406586582172179520408550527601975970317260062399670818601776679450626315416687188554250267253528199111751475726321114438798701186434749119<196>
prime factors 素因数
2245967855634350086814680657067499439534428533291<49>
composite cofactor 合成数の残り
1648746760126266977995798392732446162893630671961753083088535732308369492608656339731629360551807026671025710528427766383034287055935140114011544509<148>
factorization results 素因数分解の結果
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 3703032225324874024148076437365912582279426752682415903758406586582172179520408550527601975970317260062399670818601776679450626315416687188554250267253528199111751475726321114438798701186434749119 (196 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2624160157
Step 1 took 226891ms
Step 2 took 93297ms
********** Factor found in step 2: 2245967855634350086814680657067499439534428533291
Found probable prime factor of 49 digits: 2245967855634350086814680657067499439534428533291
Composite cofactor 1648746760126266977995798392732446162893630671961753083088535732308369492608656339731629360551807026671025710528427766383034287055935140114011544509 has 148 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 24, 2008 09:00:00 UTC 2008 年 7 月 24 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkAugust 27, 2010 14:50:35 UTC 2010 年 8 月 27 日 (金) 23 時 50 分 35 秒 (日本時間)
403e62111Jo Yeong UkFebruary 4, 2011 02:18:45 UTC 2011 年 2 月 4 日 (金) 11 時 18 分 45 秒 (日本時間)
4511e63974Jo Yeong UkApril 27, 2013 12:29:41 UTC 2013 年 4 月 27 日 (土) 21 時 29 分 41 秒 (日本時間)
5043e61200 / 6577Erik BrangerOctober 25, 2017 08:45:49 UTC 2017 年 10 月 25 日 (水) 17 時 45 分 49 秒 (日本時間)

8×10236-1

c219

name 名前Erik Branger
date 日付October 29, 2017 12:34:44 UTC 2017 年 10 月 29 日 (日) 21 時 34 分 44 秒 (日本時間)
composite number 合成数
145237107348885477480489648793610496866900970653597919451866429946165810842251858455760042971432939476153439170779771599295908355917627797944519639317314976277883364507926803148404629897924465326357660983669505425054609<219>
prime factors 素因数
2598710676416361359810416647714563790544273670220673<52>
55888140479404339551498909151028354663115261595706517404853385958610282885979572884170289707571155537102890338029363996114960021964315690077796107639030671179431458833<167>
factorization results 素因数分解の結果
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 145237107348885477480489648793610496866900970653597919451866429946165810842251858455760042971432939476153439170779771599295908355917627797944519639317314976277883364507926803148404629897924465326357660983669505425054609 (219 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:1139155981
Step 1 took 248438ms
Step 2 took 99484ms
********** Factor found in step 2: 2598710676416361359810416647714563790544273670220673
Found probable prime factor of 52 digits: 2598710676416361359810416647714563790544273670220673
Probable prime cofactor 55888140479404339551498909151028354663115261595706517404853385958610282885979572884170289707571155537102890338029363996114960021964315690077796107639030671179431458833 has 167 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 24, 2008 09:00:00 UTC 2008 年 7 月 24 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkAugust 27, 2010 14:50:43 UTC 2010 年 8 月 27 日 (金) 23 時 50 分 43 秒 (日本時間)
403e62111Jo Yeong UkFebruary 4, 2011 02:18:57 UTC 2011 年 2 月 4 日 (金) 11 時 18 分 57 秒 (日本時間)
4511e63974Jo Yeong UkApril 27, 2013 12:29:50 UTC 2013 年 4 月 27 日 (土) 21 時 29 分 50 秒 (日本時間)

8×10237-1

c137

name 名前Jo Yeong Uk
date 日付July 28, 2008 09:27:07 UTC 2008 年 7 月 28 日 (月) 18 時 27 分 7 秒 (日本時間)
composite number 合成数
45855807984819870790284032074741112260037755149041837570580988639808010607112972363240352571450865017457653731943683977750690941100743171<137>
prime factors 素因数
1236107286628145196448639851671015323071433818391231<52>
37096948202534582401901585244832896057767553242001774619573918018896075253502000311741<86>
factorization results 素因数分解の結果
Number: 79999_237
N=45855807984819870790284032074741112260037755149041837570580988639808010607112972363240352571450865017457653731943683977750690941100743171
  ( 137 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=1236107286628145196448639851671015323071433818391231 (pp52)
 r2=37096948202534582401901585244832896057767553242001774619573918018896075253502000311741 (pp86)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 30.73 hours.
Scaled time: 73.26 units (timescale=2.384).
Factorization parameters were as follows:
n: 45855807984819870790284032074741112260037755149041837570580988639808010607112972363240352571450865017457653731943683977750690941100743171
m: 200000000000000000000000000
c6: 25
c3: 10
c0: 4
skew: 0.74
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3900001)
Primes: RFBsize:283146, AFBsize:282762, largePrimes:5755281 encountered
Relations: rels:5770382, finalFF:637340
Max relations in full relation-set: 28
Initial matrix: 565974 x 637340 with sparse part having weight 42624067.
Pruned matrix : 511711 x 514604 with weight 30656236.
Total sieving time: 29.14 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 1.44 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,159,6,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 30.73 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: 8047052k/8912896k available (2459k kernel code, 339236k reserved, 1247k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673804)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672348)
Calibrating delay using timer specific routine.. 5344.23 BogoMIPS (lpj=2672116)
Calibrating delay using timer specific routine.. 5589.60 BogoMIPS (lpj=2794804)
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
3025e4430Makoto KamadaJuly 24, 2008 09:00:00 UTC 2008 年 7 月 24 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6348 / 825Jo Yeong UkJuly 25, 2008 08:38:29 UTC 2008 年 7 月 25 日 (金) 17 時 38 分 29 秒 (日本時間)

8×10239-1

c225

composite cofactor 合成数の残り
905179406602917352832116085524791501091777960073353944826508377863745520799117106218999218291272060861473605851699309037804997680536786744187173645415918452101375000574556260828379185031726020490254153499541895635383219218009<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 24, 2008 09:00:00 UTC 2008 年 7 月 24 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkAugust 27, 2010 14:50:54 UTC 2010 年 8 月 27 日 (金) 23 時 50 分 54 秒 (日本時間)
403e62111Jo Yeong UkFebruary 4, 2011 02:19:16 UTC 2011 年 2 月 4 日 (金) 11 時 19 分 16 秒 (日本時間)
4511e63974Jo Yeong UkApril 27, 2013 12:29:58 UTC 2013 年 4 月 27 日 (土) 21 時 29 分 58 秒 (日本時間)
5043e66600Erik BrangerNovember 11, 2017 11:39:24 UTC 2017 年 11 月 11 日 (土) 20 時 39 分 24 秒 (日本時間)

8×10240-1

c135

name 名前Serge Batalov
date 日付July 28, 2008 06:00:31 UTC 2008 年 7 月 28 日 (月) 15 時 0 分 31 秒 (日本時間)
composite number 合成数
138126800111087979621904572738473262040684851838378352665408113514452160684022609766361862880248315626676076038065194239443863012213847<135>
prime factors 素因数
12638631559884545162091883790692457456172929864285579791<56>
10928936369148320848662567406798716031938309146132546684068294609008875247151417<80>
factorization results 素因数分解の結果
Number: 79999_240
N=138126800111087979621904572738473262040684851838378352665408113514452160684022609766361862880248315626676076038065194239443863012213847
  ( 135 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=12638631559884545162091883790692457456172929864285579791
 r2=10928936369148320848662567406798716031938309146132546684068294609008875247151417
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.952).
Factorization parameters were as follows:
n: 138126800111087979621904572738473262040684851838378352665408113514452160684022609766361862880248315626676076038065194239443863012213847
Y1: 1
Y0: -1000000000000000000000000000
c6: 1
c3: 5
c0: 25
skew: 1.7
type: snfs
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [2500000, 6000001)
Primes: rational ideals filtering, algebraic ideals filtering,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 808067 x 808315
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.25 hours. * 4 dep
Prototype def-par.txt line would be:
snfs,162,6,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.5,2.5,100000

total time: 25.90 hours.
software ソフトウェア
Msieve-1.36
execution environment 実行環境
Opteron-2.8GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 24, 2008 09:00:00 UTC 2008 年 7 月 24 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6285 / 825Jo Yeong UkJuly 25, 2008 08:38:49 UTC 2008 年 7 月 25 日 (金) 17 時 38 分 49 秒 (日本時間)

8×10241-1

c210

name 名前Serge Batalov
date 日付July 27, 2008 17:27:32 UTC 2008 年 7 月 28 日 (月) 2 時 27 分 32 秒 (日本時間)
composite number 合成数
413155619870270422388350345485480984896177753112200401997803108647761580663586663456436996541815916349015596727555818841117317807916833206517865234417818316423352328775280415739583429342447014262586727020829909<210>
prime factors 素因数
4084686957513171056405214141139<31>
composite cofactor 合成数の残り
101147437776188067596893019641822094170077201992981329794320726118257488337588143534303319427488460340571418858976260720363458708418693527978581840212562659143024599069105778741431<180>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=1138901736
Step 1 took 32150ms
Step 2 took 24796ms
********** Factor found in step 2: 4084686957513171056405214141139
Found probable prime factor of 31 digits: 4084686957513171056405214141139
Composite cofactor 101147437776188067596893019641822094170077201992981329794320726118257488337588143534303319427488460340571418858976260720363458708418693527978581840212562659143024599069105778741431 has 180 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
3025e4430Makoto KamadaJuly 24, 2008 09:00:00 UTC 2008 年 7 月 24 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6956Jo Yeong UkFebruary 4, 2011 02:19:29 UTC 2011 年 2 月 4 日 (金) 11 時 19 分 29 秒 (日本時間)
4511e64268400Dmitry DomanovMay 4, 2009 17:17:59 UTC 2009 年 5 月 5 日 (火) 2 時 17 分 59 秒 (日本時間)
3868Jo Yeong UkApril 27, 2013 12:30:07 UTC 2013 年 4 月 27 日 (土) 21 時 30 分 7 秒 (日本時間)
5043e66600Erik BrangerNovember 11, 2017 11:39:29 UTC 2017 年 11 月 11 日 (土) 20 時 39 分 29 秒 (日本時間)

8×10244-1

c231

name 名前Serge Batalov
date 日付July 27, 2008 17:25:47 UTC 2008 年 7 月 28 日 (月) 2 時 25 分 47 秒 (日本時間)
composite number 合成数
703028181921363712180157921322015410875338215616487611620911062903516735399616955615906270564677323260274543151176553850525355345509905143525613915187080579669401739803717748527952499381421943678545590609324242185016871499249689969<231>
prime factors 素因数
108861017508663575689495374381113<33>
composite cofactor 合成数の残り
6458034271684205445370439176812586281872425037340884899946467880064597890608060770039709215095343983538806570804236640838846920029060722859175686181158626178828082778050969836074995833443582884683513<199>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=3441330406
Step 1 took 37099ms
Step 2 took 27634ms
********** Factor found in step 2: 108861017508663575689495374381113
Found probable prime factor of 33 digits: 108861017508663575689495374381113
Composite cofactor 6458034271684205445370439176812586281872425037340884899946467880064597890608060770039709215095343983538806570804236640838846920029060722859175686181158626178828082778050969836074995833443582884683513 has 199 digits
software ソフトウェア
GMP-ECM 6.2.1

c199

name 名前Serge Batalov
date 日付July 28, 2008 02:42:21 UTC 2008 年 7 月 28 日 (月) 11 時 42 分 21 秒 (日本時間)
composite number 合成数
6458034271684205445370439176812586281872425037340884899946467880064597890608060770039709215095343983538806570804236640838846920029060722859175686181158626178828082778050969836074995833443582884683513<199>
prime factors 素因数
142573390866785288763609707121204263<36>
composite cofactor 合成数の残り
45296210130250230198807436160507101560969066892484152346441941909506494187913106289607271581488076574862891981551400056470584444467889627923713436760753843396214751<164>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1657099395
Step 1 took 27629ms
Step 2 took 9369ms
********** Factor found in step 2: 142573390866785288763609707121204263
Found probable prime factor of 36 digits: 142573390866785288763609707121204263
Composite cofactor 45296210130250230198807436160507101560969066892484152346441941909506494187913106289607271581488076574862891981551400056470584444467889627923713436760753843396214751 has 164 digits
software ソフトウェア
GMP-ECM 6.2.1

c164

name 名前Markus Tervooren
date 日付February 8, 2010 10:49:54 UTC 2010 年 2 月 8 日 (月) 19 時 49 分 54 秒 (日本時間)
composite number 合成数
45296210130250230198807436160507101560969066892484152346441941909506494187913106289607271581488076574862891981551400056470584444467889627923713436760753843396214751<164>
prime factors 素因数
550187290242200292554592825846899847074347408446425780367649<60>
82328710483861218302541804636344561596253537831678574388665635415651948012393964501402623826680000057599<104>
factorization results 素因数分解の結果
rlim: 110000000
alim: 110000000
lpbr: 33
lpba: 33
mfbr: 66
mfba: 66
rlambda: 2.8
alambda: 2.8
~0.03-0.04 secs/rel, total sieving time ~185 cpu-days (Core 2)

Thu Jan 28 12:41:29 2010  Msieve v. 1.43
Thu Jan 28 12:41:29 2010  random seeds: bdeccd1b e9a2706b
Thu Jan 28 12:41:29 2010  factoring 45296210130250230198807436160507101560969066892484152346441941909506494187913106289607271581488076574862891981551400056470584444467889627923713436760753843396214751 (164 digits)
Thu Jan 28 12:41:31 2010  searching for 15-digit factors
Thu Jan 28 12:41:31 2010  commencing number field sieve (164-digit input)
Thu Jan 28 12:41:31 2010  R0: -80096806505863000081769466037492
Thu Jan 28 12:41:31 2010  R1:  428670719593748069
Thu Jan 28 12:41:31 2010  A0: -398624964056752418540983506143648522373525
Thu Jan 28 12:41:31 2010  A1:  30257563700181128217582234391468830
Thu Jan 28 12:41:31 2010  A2:  7288104962433967837242521112
Thu Jan 28 12:41:31 2010  A3: -9271387209501118154
Thu Jan 28 12:41:31 2010  A4: -5146516672771
Thu Jan 28 12:41:31 2010  A5:  13740
Thu Jan 28 12:41:31 2010  skew 38411734.43, size 4.827100e-16, alpha -7.179365, combined = 7.104534e-13
Thu Jan 28 12:41:31 2010
Thu Jan 28 12:41:31 2010  commencing relation filtering
Thu Jan 28 12:41:31 2010  estimated available RAM is 32245.7 MB
Thu Jan 28 12:41:31 2010  commencing duplicate removal, pass 1
Thu Jan 28 13:32:00 2010  error -15 reading relation 221032695
Thu Jan 28 13:32:08 2010  error -15 reading relation 221646072
Thu Jan 28 13:32:14 2010  error -9 reading relation 222118008
Thu Jan 28 13:32:41 2010  error -15 reading relation 224145219
Thu Jan 28 13:37:03 2010  error -11 reading relation 243533785
Thu Jan 28 13:59:56 2010  error -15 reading relation 341465822
Thu Jan 28 14:00:07 2010  error -15 reading relation 342321225
Thu Jan 28 14:00:18 2010  error -15 reading relation 343181286
Thu Jan 28 14:11:12 2010  error -15 reading relation 389767550
Thu Jan 28 14:12:04 2010  error -15 reading relation 393470396
Thu Jan 28 14:12:54 2010  error -15 reading relation 397051332
Thu Jan 28 14:13:17 2010  error -11 reading relation 398693153
Thu Jan 28 14:16:13 2010  error -9 reading relation 411238055
Thu Jan 28 14:24:44 2010  error -15 reading relation 448514053
Thu Jan 28 14:25:35 2010  found 78209472 hash collisions in 452107653 relations
Thu Jan 28 14:27:07 2010  commencing duplicate removal, pass 2
Thu Jan 28 14:36:40 2010  found 58350746 duplicates and 393756907 unique relations
Thu Jan 28 14:36:40 2010  memory use: 2387.0 MB
Thu Jan 28 14:36:41 2010  reading ideals above 131137536
Thu Jan 28 14:36:41 2010  commencing singleton removal, initial pass
Thu Jan 28 16:19:38 2010  memory use: 11024.0 MB
Thu Jan 28 16:19:39 2010  reading all ideals from disk
Thu Jan 28 16:20:51 2010  memory use: 7008.2 MB
Thu Jan 28 16:22:03 2010  commencing in-memory singleton removal
Thu Jan 28 16:23:13 2010  begin with 393756907 relations and 445487523 unique ideals
Thu Jan 28 16:33:09 2010  reduce to 94799446 relations and 70975859 ideals in 25 passes
Thu Jan 28 16:33:09 2010  max relations containing the same ideal: 21
Thu Jan 28 16:33:31 2010  reading ideals above 720000
Thu Jan 28 16:33:32 2010  commencing singleton removal, initial pass
Thu Jan 28 17:05:50 2010  memory use: 2756.0 MB
Thu Jan 28 17:06:08 2010  reading all ideals from disk
Thu Jan 28 17:06:38 2010  memory use: 3562.8 MB
Thu Jan 28 17:07:14 2010  keeping 85337426 ideals with weight <= 200, target excess is 510090
Thu Jan 28 17:07:51 2010  commencing in-memory singleton removal
Thu Jan 28 17:08:19 2010  begin with 94799454 relations and 85337426 unique ideals
Thu Jan 28 17:15:14 2010  reduce to 94584321 relations and 85122227 ideals in 15 passes
Thu Jan 28 17:15:14 2010  max relations containing the same ideal: 200
Thu Jan 28 17:18:03 2010  removing 6161459 relations and 5761459 ideals in 400000 cliques
Thu Jan 28 17:18:08 2010  commencing in-memory singleton removal
Thu Jan 28 17:18:36 2010  begin with 88422862 relations and 85122227 unique ideals
Thu Jan 28 17:23:14 2010  reduce to 88151325 relations and 79087418 ideals in 10 passes
Thu Jan 28 17:23:14 2010  max relations containing the same ideal: 197
Thu Jan 28 17:25:41 2010  removing 4317639 relations and 3917639 ideals in 400000 cliques
Thu Jan 28 17:25:45 2010  commencing in-memory singleton removal
Thu Jan 28 17:26:09 2010  begin with 83833686 relations and 79087418 unique ideals
Thu Jan 28 17:32:35 2010  reduce to 83688978 relations and 75024290 ideals in 12 passes
Thu Jan 28 17:32:35 2010  max relations containing the same ideal: 193
Thu Jan 28 17:34:40 2010  removing 3724233 relations and 3324233 ideals in 400000 cliques
Thu Jan 28 17:34:46 2010  commencing in-memory singleton removal
Thu Jan 28 17:35:30 2010  begin with 79964745 relations and 75024290 unique ideals
Thu Jan 28 17:39:37 2010  reduce to 79851222 relations and 71585964 ideals in 9 passes
Thu Jan 28 17:39:37 2010  max relations containing the same ideal: 189
Thu Jan 28 17:42:01 2010  removing 3384040 relations and 2984040 ideals in 400000 cliques
Thu Jan 28 17:42:05 2010  commencing in-memory singleton removal
Thu Jan 28 17:42:30 2010  begin with 76467182 relations and 71585964 unique ideals
Thu Jan 28 17:46:27 2010  reduce to 76367440 relations and 68501722 ideals in 10 passes
Thu Jan 28 17:46:27 2010  max relations containing the same ideal: 185
Thu Jan 28 17:48:13 2010  removing 3153027 relations and 2753027 ideals in 400000 cliques
Thu Jan 28 17:48:17 2010  commencing in-memory singleton removal
Thu Jan 28 17:48:39 2010  begin with 73214413 relations and 68501722 unique ideals
Thu Jan 28 17:51:54 2010  reduce to 73125875 relations and 65659718 ideals in 9 passes
Thu Jan 28 17:51:54 2010  max relations containing the same ideal: 178
Thu Jan 28 17:53:34 2010  removing 2976897 relations and 2576897 ideals in 400000 cliques
Thu Jan 28 17:53:38 2010  commencing in-memory singleton removal
Thu Jan 28 17:53:57 2010  begin with 70148978 relations and 65659718 unique ideals
Thu Jan 28 17:58:13 2010  reduce to 70065819 relations and 62999260 ideals in 10 passes
Thu Jan 28 17:58:13 2010  max relations containing the same ideal: 173
Thu Jan 28 17:59:57 2010  removing 2839825 relations and 2439825 ideals in 400000 cliques
Thu Jan 28 18:00:00 2010  commencing in-memory singleton removal
Thu Jan 28 18:00:20 2010  begin with 67225994 relations and 62999260 unique ideals
Thu Jan 28 18:03:13 2010  reduce to 67146384 relations and 60479430 ideals in 8 passes
Thu Jan 28 18:03:13 2010  max relations containing the same ideal: 168
Thu Jan 28 18:04:52 2010  removing 2730425 relations and 2330425 ideals in 400000 cliques
Thu Jan 28 18:04:55 2010  commencing in-memory singleton removal
Thu Jan 28 18:05:14 2010  begin with 64415959 relations and 60479430 unique ideals
Thu Jan 28 18:08:04 2010  reduce to 64339310 relations and 58071888 ideals in 9 passes
Thu Jan 28 18:08:04 2010  max relations containing the same ideal: 164
Thu Jan 28 18:09:34 2010  removing 2636776 relations and 2236776 ideals in 400000 cliques
Thu Jan 28 18:09:37 2010  commencing in-memory singleton removal
Thu Jan 28 18:09:55 2010  begin with 61702534 relations and 58071888 unique ideals
Thu Jan 28 18:12:15 2010  reduce to 61627413 relations and 55759578 ideals in 7 passes
Thu Jan 28 18:12:15 2010  max relations containing the same ideal: 161
Thu Jan 28 18:13:52 2010  removing 2564171 relations and 2164171 ideals in 400000 cliques
Thu Jan 28 18:13:55 2010  commencing in-memory singleton removal
Thu Jan 28 18:14:17 2010  begin with 59063242 relations and 55759578 unique ideals
Thu Jan 28 18:16:45 2010  reduce to 58990600 relations and 53522345 ideals in 8 passes
Thu Jan 28 18:16:45 2010  max relations containing the same ideal: 156
Thu Jan 28 18:18:14 2010  removing 2494359 relations and 2094359 ideals in 400000 cliques
Thu Jan 28 18:18:17 2010  commencing in-memory singleton removal
Thu Jan 28 18:18:35 2010  begin with 56496241 relations and 53522345 unique ideals
Thu Jan 28 18:20:52 2010  reduce to 56422654 relations and 51353992 ideals in 8 passes
Thu Jan 28 18:20:52 2010  max relations containing the same ideal: 153
Thu Jan 28 18:22:18 2010  removing 2435605 relations and 2035605 ideals in 400000 cliques
Thu Jan 28 18:22:21 2010  commencing in-memory singleton removal
Thu Jan 28 18:22:38 2010  begin with 53987049 relations and 51353992 unique ideals
Thu Jan 28 18:25:11 2010  reduce to 53913475 relations and 49244366 ideals in 9 passes
Thu Jan 28 18:25:11 2010  max relations containing the same ideal: 146
Thu Jan 28 18:26:33 2010  removing 2384890 relations and 1984890 ideals in 400000 cliques
Thu Jan 28 18:26:35 2010  commencing in-memory singleton removal
Thu Jan 28 18:26:52 2010  begin with 51528585 relations and 49244366 unique ideals
Thu Jan 28 18:28:49 2010  reduce to 51454095 relations and 47184522 ideals in 7 passes
Thu Jan 28 18:28:49 2010  max relations containing the same ideal: 141
Thu Jan 28 18:30:06 2010  removing 2345298 relations and 1945298 ideals in 400000 cliques
Thu Jan 28 18:30:09 2010  commencing in-memory singleton removal
Thu Jan 28 18:30:24 2010  begin with 49108797 relations and 47184522 unique ideals
Thu Jan 28 18:32:22 2010  reduce to 49033934 relations and 45163845 ideals in 8 passes
Thu Jan 28 18:32:22 2010  max relations containing the same ideal: 135
Thu Jan 28 18:33:38 2010  removing 2305082 relations and 1905082 ideals in 400000 cliques
Thu Jan 28 18:33:40 2010  commencing in-memory singleton removal
Thu Jan 28 18:33:53 2010  begin with 46728852 relations and 45163845 unique ideals
Thu Jan 28 18:35:29 2010  reduce to 46651096 relations and 43180500 ideals in 7 passes
Thu Jan 28 18:35:29 2010  max relations containing the same ideal: 132
Thu Jan 28 18:36:38 2010  removing 2276069 relations and 1876069 ideals in 400000 cliques
Thu Jan 28 18:36:41 2010  commencing in-memory singleton removal
Thu Jan 28 18:36:55 2010  begin with 44375027 relations and 43180500 unique ideals
Thu Jan 28 18:38:24 2010  reduce to 44297681 relations and 41226524 ideals in 7 passes
Thu Jan 28 18:38:24 2010  max relations containing the same ideal: 126
Thu Jan 28 18:39:25 2010  removing 2241064 relations and 1841064 ideals in 400000 cliques
Thu Jan 28 18:39:27 2010  commencing in-memory singleton removal
Thu Jan 28 18:39:39 2010  begin with 42056617 relations and 41226524 unique ideals
Thu Jan 28 18:41:17 2010  reduce to 41976145 relations and 39304372 ideals in 8 passes
Thu Jan 28 18:41:17 2010  max relations containing the same ideal: 122
Thu Jan 28 18:42:18 2010  removing 2219689 relations and 1819689 ideals in 400000 cliques
Thu Jan 28 18:42:20 2010  commencing in-memory singleton removal
Thu Jan 28 18:42:32 2010  begin with 39756456 relations and 39304372 unique ideals
Thu Jan 28 18:43:49 2010  reduce to 39671689 relations and 37399270 ideals in 7 passes
Thu Jan 28 18:43:49 2010  max relations containing the same ideal: 117
Thu Jan 28 18:44:47 2010  removing 2199546 relations and 1799546 ideals in 400000 cliques
Thu Jan 28 18:44:49 2010  commencing in-memory singleton removal
Thu Jan 28 18:44:59 2010  begin with 37472143 relations and 37399270 unique ideals
Thu Jan 28 18:46:21 2010  reduce to 37383291 relations and 35510124 ideals in 8 passes
Thu Jan 28 18:46:21 2010  max relations containing the same ideal: 116
Thu Jan 28 18:47:18 2010  removing 2182400 relations and 1782400 ideals in 400000 cliques
Thu Jan 28 18:47:20 2010  commencing in-memory singleton removal
Thu Jan 28 18:47:31 2010  begin with 35200891 relations and 35510124 unique ideals
Thu Jan 28 18:49:11 2010  reduce to 35107166 relations and 33633151 ideals in 10 passes
Thu Jan 28 18:49:11 2010  max relations containing the same ideal: 110
Thu Jan 28 18:50:03 2010  removing 2164915 relations and 1764915 ideals in 400000 cliques
Thu Jan 28 18:50:05 2010  commencing in-memory singleton removal
Thu Jan 28 18:50:14 2010  begin with 32942251 relations and 33633151 unique ideals
Thu Jan 28 18:51:27 2010  reduce to 32840722 relations and 31765748 ideals in 8 passes
Thu Jan 28 18:51:27 2010  max relations containing the same ideal: 104
Thu Jan 28 18:52:14 2010  removing 2161669 relations and 1761669 ideals in 400000 cliques
Thu Jan 28 18:52:16 2010  commencing in-memory singleton removal
Thu Jan 28 18:52:24 2010  begin with 30679053 relations and 31765748 unique ideals
Thu Jan 28 18:53:30 2010  reduce to 30572748 relations and 29896683 ideals in 8 passes
Thu Jan 28 18:53:30 2010  max relations containing the same ideal: 97
Thu Jan 28 18:54:13 2010  removing 608912 relations and 524552 ideals in 84360 cliques
Thu Jan 28 18:54:14 2010  commencing in-memory singleton removal
Thu Jan 28 18:54:23 2010  begin with 29963836 relations and 29896683 unique ideals
Thu Jan 28 18:55:25 2010  reduce to 29955993 relations and 29364260 ideals in 7 passes
Thu Jan 28 18:55:25 2010  max relations containing the same ideal: 96
Thu Jan 28 18:55:44 2010  relations with 0 large ideals: 1959
Thu Jan 28 18:55:44 2010  relations with 1 large ideals: 10587
Thu Jan 28 18:55:44 2010  relations with 2 large ideals: 127037
Thu Jan 28 18:55:44 2010  relations with 3 large ideals: 816976
Thu Jan 28 18:55:44 2010  relations with 4 large ideals: 2950994
Thu Jan 28 18:55:44 2010  relations with 5 large ideals: 6344725
Thu Jan 28 18:55:44 2010  relations with 6 large ideals: 8352068
Thu Jan 28 18:55:44 2010  relations with 7+ large ideals: 11351647
Thu Jan 28 18:55:44 2010  commencing 2-way merge
Thu Jan 28 18:56:42 2010  reduce to 17374020 relation sets and 16782287 unique ideals
Thu Jan 28 18:56:42 2010  commencing full merge
Thu Jan 28 19:05:38 2010  memory use: 1934.7 MB
Thu Jan 28 19:05:43 2010  found 9415694 cycles, need 9334487
Thu Jan 28 19:05:49 2010  weight of 9334487 cycles is about 653682105 (70.03/cycle)
Thu Jan 28 19:05:49 2010  distribution of cycle lengths:
Thu Jan 28 19:05:49 2010  1 relations: 1256806
Thu Jan 28 19:05:49 2010  2 relations: 1170560
Thu Jan 28 19:05:49 2010  3 relations: 1155686
Thu Jan 28 19:05:49 2010  4 relations: 1059872
Thu Jan 28 19:05:49 2010  5 relations: 932000
Thu Jan 28 19:05:49 2010  6 relations: 835716
Thu Jan 28 19:05:49 2010  7 relations: 716334
Thu Jan 28 19:05:49 2010  8 relations: 589213
Thu Jan 28 19:05:49 2010  9 relations: 470977
Thu Jan 28 19:05:49 2010  10+ relations: 1147323
Thu Jan 28 19:05:49 2010  heaviest cycle: 18 relations
Thu Jan 28 19:05:54 2010  commencing cycle optimization
Thu Jan 28 19:06:23 2010  start with 48291865 relations
Thu Jan 28 19:08:20 2010  pruned 774574 relations
Thu Jan 28 19:08:20 2010  memory use: 1717.3 MB
Thu Jan 28 19:08:20 2010  distribution of cycle lengths:
Thu Jan 28 19:08:20 2010  1 relations: 1256806
Thu Jan 28 19:08:20 2010  2 relations: 1190679
Thu Jan 28 19:08:20 2010  3 relations: 1184947
Thu Jan 28 19:08:20 2010  4 relations: 1074218
Thu Jan 28 19:08:20 2010  5 relations: 947033
Thu Jan 28 19:08:20 2010  6 relations: 841545
Thu Jan 28 19:08:20 2010  7 relations: 718564
Thu Jan 28 19:08:20 2010  8 relations: 586987
Thu Jan 28 19:08:20 2010  9 relations: 464467
Thu Jan 28 19:08:20 2010  10+ relations: 1069241
Thu Jan 28 19:08:20 2010  heaviest cycle: 18 relations
Thu Jan 28 19:08:47 2010  RelProcTime: 23236
Thu Jan 28 19:08:47 2010  elapsed time 06:27:18


Mon Feb  1 08:46:37 2010  Msieve v. 1.44
Mon Feb  1 08:46:37 2010  random seeds: cdb94e42 33637f4e
Mon Feb  1 08:46:37 2010  factoring 45296210130250230198807436160507101560969066892484152346441941909506494187913106289607271581488076574862891981551400056470584444467889627923713436760753843396214751 (164 digits)
Mon Feb  1 08:46:38 2010  searching for 15-digit factors
Mon Feb  1 08:46:38 2010  commencing number field sieve (164-digit input)
Mon Feb  1 08:46:38 2010  R0: -80096806505863000081769466037492
Mon Feb  1 08:46:38 2010  R1:  428670719593748069
Mon Feb  1 08:46:38 2010  A0: -398624964056752418540983506143648522373525
Mon Feb  1 08:46:38 2010  A1:  30257563700181128217582234391468830
Mon Feb  1 08:46:38 2010  A2:  7288104962433967837242521112
Mon Feb  1 08:46:38 2010  A3: -9271387209501118154
Mon Feb  1 08:46:38 2010  A4: -5146516672771
Mon Feb  1 08:46:38 2010  A5:  13740
Mon Feb  1 08:46:38 2010  skew 38411734.43, size 4.827100e-16, alpha -7.179365, combined = 7.104534e-13
Mon Feb  1 08:46:38 2010
Mon Feb  1 08:46:38 2010  commencing linear algebra
Mon Feb  1 08:46:58 2010  read 9327847 cycles
Mon Feb  1 08:50:54 2010  matrix is 9327670 x 9327847 (2855.7 MB) with weight 888366605 (95.24/col)
Mon Feb  1 08:50:54 2010  sparse part has weight 636662249 (68.25/col)
Mon Feb  1 08:50:54 2010  saving the first 48 matrix rows for later
Mon Feb  1 08:50:58 2010  matrix is 9327622 x 9327847 (2757.9 MB) with weight 707751166 (75.88/col)
Mon Feb  1 08:50:58 2010  sparse part has weight 629677300 (67.51/col)
Mon Feb  1 08:50:58 2010  matrix includes 64 packed rows
Mon Feb  1 08:50:58 2010  using block size 65536 for processor cache size 4096 kB
Mon Feb  1 08:51:34 2010  commencing Lanczos iteration (2 threads)
Mon Feb  1 08:51:34 2010  memory use: 2797.6 MB
Mon Feb  1 08:52:06 2010  restarting at iteration 49770 (dim = 3147309)
Mon Feb  1 08:53:08 2010  linear algebra at 33.7%, ETA 139h51m
Fri Feb  5 12:43:58 2010  lanczos error: submatrix is not invertible
Fri Feb  5 12:43:58 2010  lanczos halted after 110563 iterations (dim = 6991482)
Fri Feb  5 12:43:58 2010  linear algebra failed; retrying...
Fri Feb  5 12:43:58 2010  commencing Lanczos iteration (2 threads)
Fri Feb  5 12:43:58 2010  memory use: 2797.6 MB
Fri Feb  5 12:44:30 2010  restarting at iteration 110065 (dim = 6960026)
Fri Feb  5 12:45:49 2010  linear algebra at 74.6%, ETA 68h31m
Mon Feb  8 00:09:22 2010  lanczos halted after 147506 iterations (dim = 9327621)
Mon Feb  8 00:09:39 2010  recovered 28 nontrivial dependencies
Mon Feb  8 00:09:46 2010  BLanczosTime: 573788
Mon Feb  8 00:09:46 2010  elapsed time 159:23:09
Mon Feb  8 01:38:19 2010
Mon Feb  8 01:38:19 2010
Mon Feb  8 01:38:19 2010  Msieve v. 1.43
Mon Feb  8 01:38:19 2010  random seeds: c9d9c3a0 738e081c
Mon Feb  8 01:38:19 2010  factoring 45296210130250230198807436160507101560969066892484152346441941909506494187913106289607271581488076574862891981551400056470584444467889627923713436760753843396214751 (164 digits)
Mon Feb  8 01:38:21 2010  searching for 15-digit factors
Mon Feb  8 01:38:21 2010  commencing number field sieve (164-digit input)
Mon Feb  8 01:38:22 2010  R0: -80096806505863000081769466037492
Mon Feb  8 01:38:22 2010  R1:  428670719593748069
Mon Feb  8 01:38:22 2010  A0: -398624964056752418540983506143648522373525
Mon Feb  8 01:38:22 2010  A1:  30257563700181128217582234391468830
Mon Feb  8 01:38:22 2010  A2:  7288104962433967837242521112
Mon Feb  8 01:38:22 2010  A3: -9271387209501118154
Mon Feb  8 01:38:22 2010  A4: -5146516672771
Mon Feb  8 01:38:22 2010  A5:  13740
Mon Feb  8 01:38:22 2010  skew 38411734.43, size 4.827100e-16, alpha -7.179365, combined = 7.104534e-13
Mon Feb  8 01:38:22 2010
Mon Feb  8 01:38:22 2010  commencing square root phase
Mon Feb  8 01:38:22 2010  reading relations for dependency 1
Mon Feb  8 01:38:24 2010  read 4663592 cycles
Mon Feb  8 01:38:40 2010  cycles contain 14778386 unique relations
Mon Feb  8 01:47:46 2010  read 14778386 relations
Mon Feb  8 01:50:14 2010  multiplying 14778386 relations
Mon Feb  8 02:37:53 2010  multiply complete, coefficients have about 787.84 million bits
Mon Feb  8 02:38:08 2010  initial square root is modulo 11697211
Mon Feb  8 04:17:34 2010  sqrtTime: 9552
Mon Feb  8 04:17:34 2010  prp60 factor: 550187290242200292554592825846899847074347408446425780367649
Mon Feb  8 04:17:34 2010  prp104 factor: 82328710483861218302541804636344561596253537831678574388665635415651948012393964501402623826680000057599
Mon Feb  8 04:17:34 2010  elapsed time 02:39:15

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 24, 2008 09:00:00 UTC 2008 年 7 月 24 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6904Serge BatalovOctober 11, 2008 03:24:19 UTC 2008 年 10 月 11 日 (土) 12 時 24 分 19 秒 (日本時間)
403e60--
4511e6742 / 4437Serge BatalovJanuary 5, 2009 23:27:50 UTC 2009 年 1 月 6 日 (火) 8 時 27 分 50 秒 (日本時間)

8×10245-1

c218

composite cofactor 合成数の残り
60257697474976579243713882502728271914820453869658209260499408565502112123576894701987463836096664216865729984170157716699438610928379206208588484596682934822272622993525482470854464066404517451648784636650738616132019<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 24, 2008 09:00:00 UTC 2008 年 7 月 24 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkAugust 27, 2010 14:51:12 UTC 2010 年 8 月 27 日 (金) 23 時 51 分 12 秒 (日本時間)
403e62111Jo Yeong UkFebruary 4, 2011 02:19:48 UTC 2011 年 2 月 4 日 (金) 11 時 19 分 48 秒 (日本時間)
4511e63974Jo Yeong UkApril 27, 2013 12:30:15 UTC 2013 年 4 月 27 日 (土) 21 時 30 分 15 秒 (日本時間)
5043e66600Erik BrangerNovember 24, 2017 20:20:45 UTC 2017 年 11 月 25 日 (土) 5 時 20 分 45 秒 (日本時間)

8×10246-1

c143

name 名前Serge Batalov
date 日付July 27, 2008 06:03:28 UTC 2008 年 7 月 27 日 (日) 15 時 3 分 28 秒 (日本時間)
composite number 合成数
17690276718151690930573496356878657631004351363647457093909649431726864815525761076837287822666365984055995393707484905830771803860213247497969<143>
prime factors 素因数
727185362958603102583458640927672321<36>
24327052797346741204514652628175478116899457476934725356694836765790319302103867872875822020632685040373489<107>
factorization results 素因数分解の結果
Run 568 out of 950:
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3482064068
Step 1 took 6241ms
Step 2 took 4351ms
********** Factor found in step 2: 727185362958603102583458640927672321
Found probable prime factor of 36 digits: 727185362958603102583458640927672321
Probable prime cofactor 24327052797346741204514652628175478116899457476934725356694836765790319302103867872875822020632685040373489 has 107 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
3025e4430Makoto KamadaJuly 24, 2008 09:00:00 UTC 2008 年 7 月 24 日 (木) 18 時 0 分 0 秒 (日本時間)

8×10248-1

c206

composite cofactor 合成数の残り
64998362226240895181515724899074333746449115099884028313907317961225310385451807687976589551503950863613688396430537361321212297582395707795762523271386416606017656678835739145316249302906092607291527484127<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 24, 2008 09:00:00 UTC 2008 年 7 月 24 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkAugust 27, 2010 14:51:20 UTC 2010 年 8 月 27 日 (金) 23 時 51 分 20 秒 (日本時間)
403e62111Jo Yeong UkFebruary 4, 2011 02:19:58 UTC 2011 年 2 月 4 日 (金) 11 時 19 分 58 秒 (日本時間)
4511e63974Jo Yeong UkApril 27, 2013 12:30:23 UTC 2013 年 4 月 27 日 (土) 21 時 30 分 23 秒 (日本時間)
5043e66600Erik BrangerNovember 24, 2017 20:21:09 UTC 2017 年 11 月 25 日 (土) 5 時 21 分 9 秒 (日本時間)

8×10249-1

c165

name 名前Serge Batalov
date 日付July 27, 2008 04:00:24 UTC 2008 年 7 月 27 日 (日) 13 時 0 分 24 秒 (日本時間)
composite number 合成数
287769784172661870503597122302158273381294964028776978417266187050359712230215827339568345323741007194244604316546762589928057553956834532374100719424460431654676259<165>
prime factors 素因数
444308886544865560271771281999<30>
647679560070206617765843309810908725678476935981017638468004383156312447877119496409280870778743697648282559776979950903559036235285741<135>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=830862304
Step 1 took 8327ms
Step 2 took 5309ms
********** Factor found in step 2: 444308886544865560271771281999
Found probable prime factor of 30 digits: 444308886544865560271771281999
Probable prime cofactor 647679560070206617765843309810908725678476935981017638468004383156312447877119496409280870778743697648282559776979950903559036235285741 has 135 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
3025e4430Makoto KamadaJuly 24, 2008 09:00:00 UTC 2008 年 7 月 24 日 (木) 18 時 0 分 0 秒 (日本時間)

8×10252-1

c148

name 名前Dmitry Domanov
date 日付March 3, 2014 15:46:39 UTC 2014 年 3 月 4 日 (火) 0 時 46 分 39 秒 (日本時間)
composite number 合成数
5524577468833551157333520632703377643206105762145660348157588953229368426367711456910228907733038581197856129389229387372941254260826175825834581287<148>
prime factors 素因数
9167093546338428046123617533318823918625454414081011277353770750277303<70>
602653113651295605704316246118952545700243022900298241911863480491999145696529<78>
factorization results 素因数分解の結果
N=5524577468833551157333520632703377643206105762145660348157588953229368426367711456910228907733038581197856129389229387372941254260826175825834581287
  ( 148 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=9167093546338428046123617533318823918625454414081011277353770750277303 (pp70)
 r2=602653113651295605704316246118952545700243022900298241911863480491999145696529 (pp78)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 65.15 hours.
Scaled time: 78.18 units (timescale=1.200).
Factorization parameters were as follows:
n: 5524577468833551157333520632703377643206105762145660348157588953229368426367711456910228907733038581197856129389229387372941254260826175825834581287
m: 10000000000000000000000000000
deg: 6
c6: 4
c3: 2
c0: 1
skew: 0.79
# Murphy_E = 1.344e-10
type: snfs
lss: 1
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 400000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2250000, 5450001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 855815 x 856042
Total sieving time: 63.22 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 1.01 hours.
Time per square root: 0.74 hours.
Prototype def-par.txt line would be:
snfs,168.000,6,0,0,0,0,0,0,0,0,4500000,4500000,27,27,52,52,2.4,2.4,100000
total time: 65.15 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 10:51:31 UTC 2014 年 2 月 27 日 (木) 19 時 51 分 31 秒 (日本時間)
403e60--
4511e61000 / 4439Serge BatalovMarch 2, 2014 03:22:53 UTC 2014 年 3 月 2 日 (日) 12 時 22 分 53 秒 (日本時間)

8×10253-1

c252

name 名前Serge Batalov
date 日付May 18, 2014 23:23:19 UTC 2014 年 5 月 19 日 (月) 8 時 23 分 19 秒 (日本時間)
composite number 合成数
199501246882793017456359102244389027431421446384039900249376558603491271820448877805486284289276807980049875311720698254364089775561097256857855361596009975062344139650872817955112219451371571072319201995012468827930174563591022443890274314214463840399<252>
prime factors 素因数
20149805950078702183012588543766530407856612724545351<53>
composite cofactor 合成数の残り
9900901645259456946933240984763994941322667821133921101617433672794800810160936217023677779557695335031005187164139974254482096283377881047207098198994409502652939857841703538834923870460639555248249<199>
factorization results 素因数分解の結果
Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=4043669098
Step 1 took 378774ms
Step 2 took 197045ms
********** Factor found in step 2: 20149805950078702183012588543766530407856612724545351
Found probable prime factor of 53 digits: 20149805950078702183012588543766530407856612724545351
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 10:52:02 UTC 2014 年 2 月 27 日 (木) 19 時 52 分 2 秒 (日本時間)
403e60--
4511e630001000Serge BatalovMarch 2, 2014 03:23:01 UTC 2014 年 3 月 2 日 (日) 12 時 23 分 1 秒 (日本時間)
2000Serge BatalovMay 18, 2014 20:08:14 UTC 2014 年 5 月 19 日 (月) 5 時 8 分 14 秒 (日本時間)
5043e675001000Serge BatalovMay 18, 2014 20:17:23 UTC 2014 年 5 月 19 日 (月) 5 時 17 分 23 秒 (日本時間)
6500Erik BrangerNovember 28, 2017 13:33:32 UTC 2017 年 11 月 28 日 (火) 22 時 33 分 32 秒 (日本時間)

8×10254-1

c255

name 名前Serge Batalov
date 日付May 20, 2014 14:12:09 UTC 2014 年 5 月 20 日 (火) 23 時 12 分 9 秒 (日本時間)
composite number 合成数
799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<255>
prime factors 素因数
119496291416528465952863238813119240238378422680657<51>
6694768436046591382688722010721178283272741375545949244065950814185828874958096646860564878949899536916786699855978550568095984751904341839410586606742294134666174158023320943884025691827865158704355472207<205>
factorization results 素因数分解の結果
Using B1=860000000, B2=25992632475828, polynomial Dickson(30), sigma=3237941230
Step 1 took 6847270ms
Step 2 took 1210268ms
********** Factor found in step 2: 119496291416528465952863238813119240238378422680657
Found probable prime factor of 51 digits: 119496291416528465952863238813119240238378422680657
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 10:52:55 UTC 2014 年 2 月 27 日 (木) 19 時 52 分 55 秒 (日本時間)
403e60--
4511e61000Serge BatalovMarch 2, 2014 03:23:02 UTC 2014 年 3 月 2 日 (日) 12 時 23 分 2 秒 (日本時間)
5043e60--
5511e73700 / 81721000Serge BatalovApril 23, 2014 03:19:21 UTC 2014 年 4 月 23 日 (水) 12 時 19 分 21 秒 (日本時間)
2100Serge BatalovMay 19, 2014 18:11:05 UTC 2014 年 5 月 20 日 (火) 3 時 11 分 5 秒 (日本時間)
600Serge BatalovMay 20, 2014 01:05:37 UTC 2014 年 5 月 20 日 (火) 10 時 5 分 37 秒 (日本時間)
6026e71700 / 378251600Serge BatalovMay 20, 2014 01:05:37 UTC 2014 年 5 月 20 日 (火) 10 時 5 分 37 秒 (日本時間)
100Serge BatalovMay 20, 2014 04:43:30 UTC 2014 年 5 月 20 日 (火) 13 時 43 分 30 秒 (日本時間)
6585e7900 / 68593Serge BatalovMay 20, 2014 04:43:30 UTC 2014 年 5 月 20 日 (火) 13 時 43 分 30 秒 (日本時間)

8×10257-1

c239

name 名前Serge Batalov
date 日付May 26, 2014 19:21:12 UTC 2014 年 5 月 27 日 (火) 4 時 21 分 12 秒 (日本時間)
composite number 合成数
98331355854340655664798907538605883903392198681440573593839914887814993662772893049097516965029554374289436662673646912118202404370931880836436794665127065100652078694044735695153775634906065718908936693904443876878539790078700393519702151<239>
prime factors 素因数
1988242473917178647997620517322804637435479<43>
composite cofactor 合成数の残り
49456420504190830034623933118904619314036856582877725264577006144646869388837040323426859239023585023606302436922382625409613302162842900084535369001386741786196677204020737451330053387877108037969<197>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1438090272
Step 1 took 20986ms
********** Factor found in step 1: 1988242473917178647997620517322804637435479
Found probable prime factor of 43 digits: 1988242473917178647997620517322804637435479
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 10:53:10 UTC 2014 年 2 月 27 日 (木) 19 時 53 分 10 秒 (日本時間)
403e621041300Serge BatalovMay 26, 2014 18:01:09 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 9 秒 (日本時間)
804KTakahashiNovember 9, 2014 03:10:57 UTC 2014 年 11 月 9 日 (日) 12 時 10 分 57 秒 (日本時間)
4511e60--
5043e675003400Erik BrangerDecember 1, 2017 16:56:07 UTC 2017 年 12 月 2 日 (土) 1 時 56 分 7 秒 (日本時間)
3400Erik BrangerDecember 18, 2017 16:57:26 UTC 2017 年 12 月 19 日 (火) 1 時 57 分 26 秒 (日本時間)
700Erik BrangerDecember 25, 2017 09:38:01 UTC 2017 年 12 月 25 日 (月) 18 時 38 分 1 秒 (日本時間)

8×10258-1

c127

name 名前Dmitry Domanov
date 日付March 6, 2014 06:56:16 UTC 2014 年 3 月 6 日 (木) 15 時 56 分 16 秒 (日本時間)
composite number 合成数
4730303704448465861406781153821023049877034815948469153054905141527583237459086926951322127201126975484916091471625157079483873<127>
prime factors 素因数
24492877891551279084861950292843062543698945116334957873<56>
193129763084319516822191314291263590645962248269391547514621371346862001<72>
factorization results 素因数分解の結果
N=4730303704448465861406781153821023049877034815948469153054905141527583237459086926951322127201126975484916091471625157079483873
  ( 127 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=24492877891551279084861950292843062543698945116334957873 (pp56)
 r2=193129763084319516822191314291263590645962248269391547514621371346862001 (pp72)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 85.73 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 4730303704448465861406781153821023049877034815948469153054905141527583237459086926951322127201126975484916091471625157079483873
m: 100000000000000000000000000000
deg: 6
c6: 1
c3: 5
c0: 25
skew: 1.71
# Murphy_E = 8.194e-11
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 400000
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2800000, 7600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1045056 x 1045283
Total sieving time: 84.36 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.03 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,174.000,6,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 85.73 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 10:53:25 UTC 2014 年 2 月 27 日 (木) 19 時 53 分 25 秒 (日本時間)
403e6604KTakahashiFebruary 27, 2014 18:16:29 UTC 2014 年 2 月 28 日 (金) 3 時 16 分 29 秒 (日本時間)
4511e61000 / 4305Serge BatalovMarch 2, 2014 03:22:54 UTC 2014 年 3 月 2 日 (日) 12 時 22 分 54 秒 (日本時間)

8×10259-1

c254

composite cofactor 合成数の残り
92242306703363731016821537656192168397555117660827344309399145144422626576622801606399771239079375657947078282586612643422374063308201148186112690120041831886089975452016128567327083148368291245859185200644312512322995661152498440528502296256922496860879<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 10:53:45 UTC 2014 年 2 月 27 日 (木) 19 時 53 分 45 秒 (日本時間)
403e60--
4511e630001000Serge BatalovMarch 2, 2014 03:23:04 UTC 2014 年 3 月 2 日 (日) 12 時 23 分 4 秒 (日本時間)
2000Serge BatalovMay 18, 2014 20:07:50 UTC 2014 年 5 月 19 日 (月) 5 時 7 分 50 秒 (日本時間)
5043e61000Serge BatalovMay 18, 2014 20:17:00 UTC 2014 年 5 月 19 日 (月) 5 時 17 分 0 秒 (日本時間)
5511e78000 / 17224Serge BatalovMay 25, 2014 06:46:38 UTC 2014 年 5 月 25 日 (日) 15 時 46 分 38 秒 (日本時間)

8×10260-1

c259

composite cofactor 合成数の残り
7766990291262135922330097087378640776699029126213592233009708737864077669902912621359223300970873786407766990291262135922330097087378640776699029126213592233009708737864077669902912621359223300970873786407766990291262135922330097087378640776699029126213592233<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 10:54:10 UTC 2014 年 2 月 27 日 (木) 19 時 54 分 10 秒 (日本時間)
403e60--
4511e630001000Serge BatalovMarch 2, 2014 03:23:05 UTC 2014 年 3 月 2 日 (日) 12 時 23 分 5 秒 (日本時間)
2000Serge BatalovMarch 4, 2014 05:39:24 UTC 2014 年 3 月 4 日 (火) 14 時 39 分 24 秒 (日本時間)
5043e63600Serge BatalovMarch 4, 2014 06:51:02 UTC 2014 年 3 月 4 日 (火) 15 時 51 分 2 秒 (日本時間)
5511e78000 / 16296Serge BatalovMay 25, 2014 06:44:55 UTC 2014 年 5 月 25 日 (日) 15 時 44 分 55 秒 (日本時間)

8×10262-1

c255

composite cofactor 合成数の残り
129577026426001938119217935978138982125453357418743870490366585442225488797869270363247959150090872449618196675454218863012678854501444267966113463089813142849748636684876217974039770781933197655712522339868965847517581063586146928527302850485800388213743<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 10:54:24 UTC 2014 年 2 月 27 日 (木) 19 時 54 分 24 秒 (日本時間)
403e621501300Serge BatalovMay 26, 2014 18:01:10 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 10 秒 (日本時間)
850Youcef LemsaferOctober 16, 2014 09:54:25 UTC 2014 年 10 月 16 日 (木) 18 時 54 分 25 秒 (日本時間)
4511e6256Youcef LemsaferOctober 16, 2014 09:54:25 UTC 2014 年 10 月 16 日 (木) 18 時 54 分 25 秒 (日本時間)
5043e67500Erik BrangerDecember 15, 2017 20:00:52 UTC 2017 年 12 月 16 日 (土) 5 時 0 分 52 秒 (日本時間)

8×10264-1

c167

name 名前Serge Batalov
date 日付March 2, 2014 02:56:34 UTC 2014 年 3 月 2 日 (日) 11 時 56 分 34 秒 (日本時間)
composite number 合成数
97632627313866814998680664678543047838883891024524369677003104273564208254907616838636459924878132153750835374964391519696674601983820249241564915726309616219183307383<167>
prime factors 素因数
1912121521552437452641451006543496727<37>
51059844373593787212368072196660462254955038611779658568938481677253115669176259304239746212964997280610935564397149125896304224929<131>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2506325584
Step 1 took 42798ms
Step 2 took 25972ms
********** Factor found in step 2: 1912121521552437452641451006543496727
Found probable prime factor of 37 digits: 1912121521552437452641451006543496727
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 10:54:43 UTC 2014 年 2 月 27 日 (木) 19 時 54 分 43 秒 (日本時間)

8×10268-1

c246

name 名前KTakahashi
date 日付February 27, 2014 10:57:04 UTC 2014 年 2 月 27 日 (木) 19 時 57 分 4 秒 (日本時間)
composite number 合成数
594879143191183279480349759413008542415606985915025216113356448725251198300436254290798273685871928318410990342861311662919612177658727973213039689048966044423878115054951911903321828168577343613262790812030447562145784820616915811719777612306873<246>
prime factors 素因数
34269816177250100664054782129209<32>
composite cofactor 合成数の残り
17358690811597984235701885557028499449472783278839773520109189024488067291926383479185100309712236326880387201482517135918637405827207024004165154696645625247760890128366813589161167595760893626235999976245778010497<215>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 594879143191183279480349759413008542415606985915025216113356448725251198300436254290798273685871928318410990342861311662919612177658727973213039689048966044423878115054951911903321828168577343613262790812030447562145784820616915811719777612306873 (246 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1049105767
Step 1 took 7222ms
Step 2 took 3604ms
********** Factor found in step 2: 34269816177250100664054782129209
Found probable prime factor of 32 digits: 34269816177250100664054782129209
Composite cofactor 17358690811597984235701885557028499449472783278839773520109189024488067291926383479185100309712236326880387201482517135918637405827207024004165154696645625247760890128366813589161167595760893626235999976245778010497 has 215 digits

c215

name 名前Erik Branger
date 日付December 18, 2017 16:56:19 UTC 2017 年 12 月 19 日 (火) 1 時 56 分 19 秒 (日本時間)
composite number 合成数
17358690811597984235701885557028499449472783278839773520109189024488067291926383479185100309712236326880387201482517135918637405827207024004165154696645625247760890128366813589161167595760893626235999976245778010497<215>
prime factors 素因数
101699524947366002182697907268010707883839552999<48>
170686056012374430807824363881025010644395202668943641927815506469465392705094036751205186634699446155097938099143464716861440920585770076784084908383440212212361148503<168>
factorization results 素因数分解の結果
Input number is 17358690811597984235701885557028499449472783278839773520109189024488067291926383479185100309712236326880387201482517135918637405827207024004165154696645625247760890128366813589161167595760893626235999976245778010497 (215 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:1594548207
Step 1 took 309734ms
Step 2 took 110454ms
********** Factor found in step 2: 101699524947366002182697907268010707883839552999
Found probable prime factor of 48 digits: 101699524947366002182697907268010707883839552999
Probable prime cofactor 170686056012374430807824363881025010644395202668943641927815506469465392705094036751205186634699446155097938099143464716861440920585770076784084908383440212212361148503 has 168 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 10:55:13 UTC 2014 年 2 月 27 日 (木) 19 時 55 分 13 秒 (日本時間)
403e61300Serge BatalovMay 26, 2014 18:01:10 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 10 秒 (日本時間)
4511e6240 / 4151Youcef LemsaferOctober 24, 2014 16:30:49 UTC 2014 年 10 月 25 日 (土) 1 時 30 分 49 秒 (日本時間)

8×10269-1

c225

composite cofactor 合成数の残り
227324942762052451718513760568159346953082234991016553886823167920901051170599329742096951686854210756327376458490486114030510248822735413567762008132168800687892333830314967147675785503203085165085653143275426412191991431931<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 10:58:13 UTC 2014 年 2 月 27 日 (木) 19 時 58 分 13 秒 (日本時間)
403e621041300Serge BatalovMay 26, 2014 18:01:11 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 11 秒 (日本時間)
804KTakahashiNovember 11, 2014 01:13:28 UTC 2014 年 11 月 11 日 (火) 10 時 13 分 28 秒 (日本時間)
4511e60--
5043e67500Erik BrangerJanuary 22, 2018 14:10:23 UTC 2018 年 1 月 22 日 (月) 23 時 10 分 23 秒 (日本時間)

8×10270-1

c100

name 名前KTakahashi
date 日付February 27, 2014 14:14:50 UTC 2014 年 2 月 27 日 (木) 23 時 14 分 50 秒 (日本時間)
composite number 合成数
1485480874622237371577301252950374831762937074260117463458642590741490992186765864074665431037193609<100>
prime factors 素因数
1516390306543945753137363364176752712313<40>
979616440577126169666922939386269499990592934579531376584593<60>
factorization results 素因数分解の結果
Number: 79999_270
N=1485480874622237371577301252950374831762937074260117463458642590741490992186765864074665431037193609
  ( 100 digits)
Divisors found:
 r1=1516390306543945753137363364176752712313 (pp40)
 r2=979616440577126169666922939386269499990592934579531376584593 (pp60)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 5.25 hours.
Scaled time: 10.85 units (timescale=2.068).
Factorization parameters were as follows:
name: 79999_270
n: 1485480874622237371577301252950374831762937074260117463458642590741490992186765864074665431037193609
skew: 13190.07
# norm 7.44e+013
c5: 12480
c4: -20134596
c3: -7380665004651
c2: 4708202644449349
c1: 290607544200904141399
c0: -1084968283012806938629065
# alpha -6.13
Y1: 27348107369
Y0: -10354541339947367474
# Murphy_E 3.65e-009
# M 254082772583483788077574093544207886814747342059969989113718078747500168624632389650785401044513571
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 : 182773 x 183006
Polynomial selection time: 0.38 hours.
Total sieving time: 4.71 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.02 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: 5.25 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 08:03:50 UTC 2014 年 2 月 27 日 (木) 17 時 3 分 50 秒 (日本時間)

8×10271-1

c256

composite cofactor 合成数の残り
1793675749340001798974851548142353072364029663646441502839547209734967363603906661719947430354508998428974346448844890660669371485892302024582724462852863484954036876937047713742244081567872010790147266581197289922379021597596836848192045477092117939840639<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 10:58:29 UTC 2014 年 2 月 27 日 (木) 19 時 58 分 29 秒 (日本時間)
403e60--
4511e6910610CypMarch 10, 2014 03:54:55 UTC 2014 年 3 月 10 日 (月) 12 時 54 分 55 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:03 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 3 秒 (日本時間)
5043e67500Erik BrangerJanuary 31, 2018 17:29:01 UTC 2018 年 2 月 1 日 (木) 2 時 29 分 1 秒 (日本時間)

8×10272-1

c253

name 名前Erik Branger
date 日付January 18, 2018 17:05:41 UTC 2018 年 1 月 19 日 (金) 2 時 5 分 41 秒 (日本時間)
composite number 合成数
6658427616759145500060716074217324525562852904034843781960797571743593039972370052945175400912625993094705600628760132030448137076832184590555914446677920341924611485742942099715345002969034180968157453511747985258500836566811631444936862716038480018407<253>
prime factors 素因数
2058643301475318397350652340641994227211863<43>
composite cofactor 合成数の残り
3234376548859829322334908040320203670786702248902358938324396935894487690415489960829842658189104795105942972120767632193333145480435999179777535445017835024832107087203116970426412780460440851588530718227330289<211>
factorization results 素因数分解の結果
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 6658427616759145500060716074217324525562852904034843781960797571743593039972370052945175400912625993094705600628760132030448137076832184590555914446677920341924611485742942099715345002969034180968157453511747985258500836566811631444936862716038480018407 (253 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:3931905386
Step 1 took 333781ms
Step 2 took 120297ms
********** Factor found in step 2: 2058643301475318397350652340641994227211863
Found probable prime factor of 43 digits: 2058643301475318397350652340641994227211863
Composite cofactor 3234376548859829322334908040320203670786702248902358938324396935894487690415489960829842658189104795105942972120767632193333145480435999179777535445017835024832107087203116970426412780460440851588530718227330289 has 211 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 10:58:43 UTC 2014 年 2 月 27 日 (木) 19 時 58 分 43 秒 (日本時間)
403e61300Serge BatalovMay 26, 2014 18:01:11 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 11 秒 (日本時間)
4511e6240Youcef LemsaferOctober 27, 2014 21:22:58 UTC 2014 年 10 月 28 日 (火) 6 時 22 分 58 秒 (日本時間)
5043e67500Erik BrangerJanuary 18, 2018 17:05:02 UTC 2018 年 1 月 19 日 (金) 2 時 5 分 2 秒 (日本時間)

8×10273-1

c155

name 名前Jo Yeong Uk
date 日付March 26, 2014 11:45:41 UTC 2014 年 3 月 26 日 (水) 20 時 45 分 41 秒 (日本時間)
composite number 合成数
42625312542338272605367985296464685008459621987819137802055103968801708324257610720028523254205163736465557337350554044594456539988410234754001196349269039<155>
prime factors 素因数
169654008484492522003789603936751353085272206657592183411741<60>
251248484625310241062038860440306435630371442929843804818190801692927146704299512467246603931579<96>
factorization results 素因数分解の結果
Number: 79999_273
N=42625312542338272605367985296464685008459621987819137802055103968801708324257610720028523254205163736465557337350554044594456539988410234754001196349269039
  ( 155 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=169654008484492522003789603936751353085272206657592183411741
 r2=251248484625310241062038860440306435630371442929843804818190801692927146704299512467246603931579
Version: 
Total time: 77.52 hours.
Scaled time: 401.80 units (timescale=5.183).
Factorization parameters were as follows:
n: 42625312542338272605367985296464685008459621987819137802055103968801708324257610720028523254205163736465557337350554044594456539988410234754001196349269039
m: 2000000000000000000000000000000
deg: 6
c6: 25
c3: 10
c0: 4
skew: 0.74
# Murphy_E = 4.462e-11
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3500000, 7200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18269632
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1435256 x 1435504
Total sieving time: 73.12 hours.
Total relation processing time: 1.89 hours.
Matrix solve time: 2.40 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,183,6,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,100000
total time: 77.52 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49370224k/51380224k available (5223k kernel code, 1085960k absent, 924040k reserved, 7119k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.85 BogoMIPS (lpj=3399928)
Total of 12 processors activated (81598.27 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7 4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 10:58:56 UTC 2014 年 2 月 27 日 (木) 19 時 58 分 56 秒 (日本時間)
403e60--
4511e61000 / 4439Serge BatalovMarch 2, 2014 03:22:57 UTC 2014 年 3 月 2 日 (日) 12 時 22 分 57 秒 (日本時間)

8×10274-1

c248

composite cofactor 合成数の残り
46608904609207499112218331349113706702904550977560641812131032862831789266967536082285111494890729056671488346398353288768704922406407997612676479450168276962214454812544358696133159702279194825302593145871394829156162712989260099462087554537217983<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 10:59:33 UTC 2014 年 2 月 27 日 (木) 19 時 59 分 33 秒 (日本時間)
403e621041300Serge BatalovMay 26, 2014 18:01:11 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 11 秒 (日本時間)
804KTakahashiNovember 11, 2014 04:49:03 UTC 2014 年 11 月 11 日 (火) 13 時 49 分 3 秒 (日本時間)
4511e60--
5043e67500Erik BrangerJanuary 31, 2018 17:28:04 UTC 2018 年 2 月 1 日 (木) 2 時 28 分 4 秒 (日本時間)

8×10275-1

c275

composite cofactor 合成数の残り
27586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 10:59:46 UTC 2014 年 2 月 27 日 (木) 19 時 59 分 46 秒 (日本時間)
403e60--
4511e630001000Serge BatalovMarch 2, 2014 03:23:08 UTC 2014 年 3 月 2 日 (日) 12 時 23 分 8 秒 (日本時間)
2000Serge BatalovMay 18, 2014 20:07:15 UTC 2014 年 5 月 19 日 (月) 5 時 7 分 15 秒 (日本時間)
5043e669001000Serge BatalovMay 18, 2014 20:16:27 UTC 2014 年 5 月 19 日 (月) 5 時 16 分 27 秒 (日本時間)
1100Serge BatalovJanuary 6, 2015 01:39:35 UTC 2015 年 1 月 6 日 (火) 10 時 39 分 35 秒 (日本時間)
4800Erik BrangerFebruary 19, 2018 16:16:20 UTC 2018 年 2 月 20 日 (火) 1 時 16 分 20 秒 (日本時間)

8×10277-1

c278

composite cofactor 合成数の残り
79999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:00:00 UTC 2014 年 2 月 27 日 (木) 20 時 0 分 0 秒 (日本時間)
403e60--
4511e61000Serge BatalovMarch 2, 2014 03:23:11 UTC 2014 年 3 月 2 日 (日) 12 時 23 分 11 秒 (日本時間)
5043e60--
5511e782001000Serge BatalovApril 23, 2014 01:30:59 UTC 2014 年 4 月 23 日 (水) 10 時 30 分 59 秒 (日本時間)
300Serge BatalovApril 23, 2014 03:16:06 UTC 2014 年 4 月 23 日 (水) 12 時 16 分 6 秒 (日本時間)
2100Serge BatalovMay 19, 2014 18:12:17 UTC 2014 年 5 月 20 日 (火) 3 時 12 分 17 秒 (日本時間)
600Serge BatalovMay 20, 2014 01:06:24 UTC 2014 年 5 月 20 日 (火) 10 時 6 分 24 秒 (日本時間)
4200Serge BatalovMay 25, 2014 20:01:59 UTC 2014 年 5 月 26 日 (月) 5 時 1 分 59 秒 (日本時間)
6026e77700 / 333461600Serge BatalovMay 20, 2014 01:06:24 UTC 2014 年 5 月 20 日 (火) 10 時 6 分 24 秒 (日本時間)
100Serge BatalovMay 20, 2014 04:44:32 UTC 2014 年 5 月 20 日 (火) 13 時 44 分 32 秒 (日本時間)
6000Serge BatalovMay 25, 2014 21:56:52 UTC 2014 年 5 月 26 日 (月) 6 時 56 分 52 秒 (日本時間)
6585e71800 / 66513900Serge BatalovMay 20, 2014 04:44:32 UTC 2014 年 5 月 20 日 (火) 13 時 44 分 32 秒 (日本時間)
900Serge BatalovMay 26, 2014 16:41:43 UTC 2014 年 5 月 27 日 (火) 1 時 41 分 43 秒 (日本時間)

8×10278-1

c241

composite cofactor 合成数の残り
1962157983400749656500355340247493276972435524065187711335884561201403039019352970264964181143014418826920582040950709851354328676416821149730434927393062289168393642459078137997818640986424593934323650541537859476678112430315937853663299113<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:00:15 UTC 2014 年 2 月 27 日 (木) 20 時 0 分 15 秒 (日本時間)
403e628001300Serge BatalovMay 26, 2014 18:01:12 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 12 秒 (日本時間)
1500Dmitry DomanovMay 28, 2014 11:59:39 UTC 2014 年 5 月 28 日 (水) 20 時 59 分 39 秒 (日本時間)
4511e60--
5043e675001100Erik BrangerJanuary 31, 2018 17:30:01 UTC 2018 年 2 月 1 日 (木) 2 時 30 分 1 秒 (日本時間)
6400Erik BrangerMarch 5, 2018 16:44:55 UTC 2018 年 3 月 6 日 (火) 1 時 44 分 55 秒 (日本時間)

8×10280-1

c281

composite cofactor 合成数の残り
79999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:00:34 UTC 2014 年 2 月 27 日 (木) 20 時 0 分 34 秒 (日本時間)
403e60--
4511e61000Serge BatalovMarch 2, 2014 03:23:12 UTC 2014 年 3 月 2 日 (日) 12 時 23 分 12 秒 (日本時間)
5043e63000Serge BatalovOctober 26, 2014 19:41:47 UTC 2014 年 10 月 27 日 (月) 4 時 41 分 47 秒 (日本時間)
5511e72000 / 166361000Serge BatalovApril 23, 2014 01:29:39 UTC 2014 年 4 月 23 日 (水) 10 時 29 分 39 秒 (日本時間)
1000Serge BatalovApril 23, 2014 03:12:49 UTC 2014 年 4 月 23 日 (水) 12 時 12 分 49 秒 (日本時間)

8×10281-1

c273

name 名前Serge Batalov
date 日付May 18, 2014 23:37:07 UTC 2014 年 5 月 19 日 (月) 8 時 37 分 7 秒 (日本時間)
composite number 合成数
399010609104054191633855679302117835941761530719930787061129958014243323106470303617212571726415177797773274511900908133233299312076133243210735606277949330920581351813937965374708237021046125306705178119929452669900461781012951584614797509639723490416067669238645328038819<273>
prime factors 素因数
2068937118961434593005518192153433489<37>
composite cofactor 合成数の残り
192857774867681626342205891907739243549831659244035758632332546238682670229592919132478006702543380864360251357227497242931817789484546259614804064423584452613812535867308284127944935922094035004387366824533332958936407889116401512489971<237>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1335562516
Step 1 took 106263ms
Step 2 took 47358ms
********** Factor found in step 2: 2068937118961434593005518192153433489
Found probable prime factor of 37 digits: 2068937118961434593005518192153433489
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:00:49 UTC 2014 年 2 月 27 日 (木) 20 時 0 分 49 秒 (日本時間)
403e61300Serge BatalovMay 26, 2014 18:01:12 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 12 秒 (日本時間)
4511e6240Youcef LemsaferOctober 23, 2014 16:51:24 UTC 2014 年 10 月 24 日 (金) 1 時 51 分 24 秒 (日本時間)
5043e67500Erik BrangerMarch 10, 2018 20:45:49 UTC 2018 年 3 月 11 日 (日) 5 時 45 分 49 秒 (日本時間)

8×10282-1

c188

name 名前Serge Batalov
date 日付March 2, 2014 07:09:15 UTC 2014 年 3 月 2 日 (日) 16 時 9 分 15 秒 (日本時間)
composite number 合成数
12903225806451612903225806451612903225806451612903225806451612903225806451612903225806451612903870967741935483870967741935483870967741935483870967741935483870967741935483870967741935483871<188>
prime factors 素因数
16289785662850800808370581726778970983231960365476767392185548176025399620479466405563703807<92>
792105315165545181914765343681319771980758107163378704381838191479767776920475141499978201720353<96>
factorization results 素因数分解の結果
SNFS difficulty: 188 digits.
Divisors found:
 r1=16289785662850800808370581726778970983231960365476767392185548176025399620479466405563703807 (pp92)
 r2=792105315165545181914765343681319771980758107163378704381838191479767776920475141499978201720353 (pp96)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 169.50 hours.
Scaled time: 406.79 units (timescale=2.400).
Factorization parameters were as follows:
n: 12903225806451612903225806451612903225806451612903225806451612903225806451612903225806451612903870967741935483870967741935483870967741935483870967741935483870967741935483870967741935483871
Y1: 1
Y0: -10000000000000000000000000000000
c6: 400
c3: 20
c0: 1
skew: 0.37
# Murphy_E = 2.87e-11
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.55
alambda: 2.55
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5000000, 9800001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 2013160 x 2013386
Total sieving time: 165.79 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 3.08 hours.
Time per square root: 0.46 hours.
Prototype def-par.txt line would be:
snfs,188.000,6,0,0,0,0,0,0,0,0,10000000,10000000,28,28,55,55,2.55,2.55,100000
total time: 169.50 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:01:08 UTC 2014 年 2 月 27 日 (木) 20 時 1 分 8 秒 (日本時間)
403e60--
4511e64444Serge BatalovFebruary 28, 2014 16:15:42 UTC 2014 年 3 月 1 日 (土) 1 時 15 分 42 秒 (日本時間)

8×10283-1

c247

name 名前Serge Batalov
date 日付May 18, 2014 23:17:15 UTC 2014 年 5 月 19 日 (月) 8 時 17 分 15 秒 (日本時間)
composite number 合成数
1538681649978780152681774316770486302811583018735385445583261041839431221531610378133885177566336317256763381843007525950407972727117457060592238727598638180734209981148603677237853053343836783047439109924824890057118827555894253917945427001116209<247>
prime factors 素因数
3212197976852922883452983824450689427111<40>
479012084892185918003550112828517655901606517224569176225582186713519591251617117623109228064169180102841731152958626833394086783858419414103151283017602589987197885539208906308262377035334872377678526390119<207>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2069425269
Step 1 took 76780ms
Step 2 took 33918ms
********** Factor found in step 2: 3212197976852922883452983824450689427111
Found probable prime factor of 40 digits: 3212197976852922883452983824450689427111
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:01:21 UTC 2014 年 2 月 27 日 (木) 20 時 1 分 21 秒 (日本時間)

8×10284-1

c277

composite cofactor 合成数の残り
2115113805059885759160573092094839090853336028481847534141763847707586383647130868349212025852856254573553543930156255962390146177603742571201452774377460602773222476270597708608908977264506870906215407065853346537953566425449129676805137729878863545862603545032791521462671841<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:01:33 UTC 2014 年 2 月 27 日 (木) 20 時 1 分 33 秒 (日本時間)
403e61300Serge BatalovMay 26, 2014 18:01:13 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 13 秒 (日本時間)
4511e6256Youcef LemsaferOctober 17, 2014 12:36:03 UTC 2014 年 10 月 17 日 (金) 21 時 36 分 3 秒 (日本時間)
5043e67500Erik BrangerMarch 25, 2018 17:03:41 UTC 2018 年 3 月 26 日 (月) 2 時 3 分 41 秒 (日本時間)

8×10285-1

c191

name 名前Serge Batalov
date 日付March 1, 2014 03:58:45 UTC 2014 年 3 月 1 日 (土) 12 時 58 分 45 秒 (日本時間)
composite number 合成数
40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<191>
prime factors 素因数
124132228741226858601494922905637978623346989431<48>
composite cofactor 合成数の残り
322237024225080877534474627375828339570275534391190143555497984956430428207902773084056443510081426332995142392075967789774774456795868481638471<144>
factorization results 素因数分解の結果
Using B1=150000000, B2=2383850018566, polynomial Dickson(30), sigma=635578164
Step 1 took 691825ms
********** Factor found in step 1: 124132228741226858601494922905637978623346989431
Found probable prime factor of 48 digits: 124132228741226858601494922905637978623346989431
Composite cofactor 

c144

name 名前Jo Yeong Uk
date 日付September 30, 2016 00:15:50 UTC 2016 年 9 月 30 日 (金) 9 時 15 分 50 秒 (日本時間)
composite number 合成数
322237024225080877534474627375828339570275534391190143555497984956430428207902773084056443510081426332995142392075967789774774456795868481638471<144>
prime factors 素因数
8035195205800842585135238519523905040004838613397450331729<58>
40103197989819654765203324546430616100409008947161746902078808575698400632860946603799<86>
factorization results 素因数分解の結果
Number: 79999_285
N=322237024225080877534474627375828339570275534391190143555497984956430428207902773084056443510081426332995142392075967789774774456795868481638471
  ( 144 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=8035195205800842585135238519523905040004838613397450331729
 r2=40103197989819654765203324546430616100409008947161746902078808575698400632860946603799
Version: 
Total time: 136.32 hours.
Scaled time: 716.61 units (timescale=5.257).
Factorization parameters were as follows:
n: 322237024225080877534474627375828339570275534391190143555497984956430428207902773084056443510081426332995142392075967789774774456795868481638471
m: 100000000000000000000000000000000
deg: 6
c6: 1
c3: 5
c0: 25
skew: 1.71
# Murphy_E = 2.192e-11
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5000000, 11100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 22539851
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2009596 x 2009844
Total sieving time: 126.50 hours.
Total relation processing time: 3.88 hours.
Matrix solve time: 5.80 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,192,6,0,0,0,0,0,0,0,0,10000000,10000000,28,28,55,55,2.5,2.5,100000
total time: 136.32 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49368528k/51380224k available (5398k kernel code, 1086460k absent, 925236k reserved, 7010k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.87 BogoMIPS (lpj=3399935)
Total of 12 processors activated (81598.44 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:01:47 UTC 2014 年 2 月 27 日 (木) 20 時 1 分 47 秒 (日本時間)
403e60--
4511e644443000Serge BatalovFebruary 28, 2014 16:14:58 UTC 2014 年 3 月 1 日 (土) 1 時 14 分 58 秒 (日本時間)
1444Serge BatalovFebruary 28, 2014 16:32:33 UTC 2014 年 3 月 1 日 (土) 1 時 32 分 33 秒 (日本時間)
5043e6800 / 6551Serge BatalovFebruary 28, 2014 16:32:33 UTC 2014 年 3 月 1 日 (土) 1 時 32 分 33 秒 (日本時間)

8×10286-1

c246

composite cofactor 合成数の残り
698679348601039556418947760746220212644894415040363886542923171575192762583656168819811067287467241880846725835499030280540607536752991948944488070855237196493342525473007089706008217283421975814296284175740170418336840118251428584554776091409489<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:02:03 UTC 2014 年 2 月 27 日 (木) 20 時 2 分 3 秒 (日本時間)
403e60--
4511e6910610CypMarch 8, 2014 13:27:30 UTC 2014 年 3 月 8 日 (土) 22 時 27 分 30 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:04 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 4 秒 (日本時間)
5043e67500Erik BrangerMarch 29, 2018 08:28:43 UTC 2018 年 3 月 29 日 (木) 17 時 28 分 43 秒 (日本時間)

8×10288-1

c169

name 名前Jo Yeong Uk
date 日付March 23, 2017 11:27:43 UTC 2017 年 3 月 23 日 (木) 20 時 27 分 43 秒 (日本時間)
composite number 合成数
5838238489490945017428803212248099526370079802240245095403656008583411448650392237432010728149730115354360111873464034814824371250555777780953132167261512428341711766153<169>
prime factors 素因数
142997023214889922204231942305450223428015702892530627661846221399134794090301311<81>
40827692480825180230821831875495072141387943707632004577875173020604392463649997143276023<89>
factorization results 素因数分解の結果
Number: 79999_288
N=5838238489490945017428803212248099526370079802240245095403656008583411448650392237432010728149730115354360111873464034814824371250555777780953132167261512428341711766153
  ( 169 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=142997023214889922204231942305450223428015702892530627661846221399134794090301311
 r2=40827692480825180230821831875495072141387943707632004577875173020604392463649997143276023
Version: 
Total time: 137.20 hours.
Scaled time: 721.00 units (timescale=5.255).
Factorization parameters were as follows:
n: 5838238489490945017428803212248099526370079802240245095403656008583411448650392237432010728149730115354360111873464034814824371250555777780953132167261512428341711766153
m: 100000000000000000000000000000000
deg: 6
c6: 4
c3: 2
c0: 1
skew: 0.79
# Murphy_E = 2.332e-11
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6000000, 11800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 22426691
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2169043 x 2169291
Total sieving time: 125.48 hours.
Total relation processing time: 3.73 hours.
Matrix solve time: 7.25 hours.
Time per square root: 0.74 hours.
Prototype def-par.txt line would be:
snfs,192,6,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000
total time: 137.20 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:02:18 UTC 2014 年 2 月 27 日 (木) 20 時 2 分 18 秒 (日本時間)
403e62104KTakahashiApril 18, 2014 20:57:06 UTC 2014 年 4 月 19 日 (土) 5 時 57 分 6 秒 (日本時間)
4511e63974300Serge BatalovMay 27, 2014 00:36:04 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 4 秒 (日本時間)
3674KTakahashiOctober 6, 2014 03:44:43 UTC 2014 年 10 月 6 日 (月) 12 時 44 分 43 秒 (日本時間)

8×10290-1

c274

composite cofactor 合成数の残り
1208842306883093163462571331118012640702970067491612224159365154085941749530227128055474703805464177938002879303290974285921144201931776741524814052687631248616492082357060215369905913031503921613143827503129477726260441252657002639887210577500815305387725430106211287671791<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:02:35 UTC 2014 年 2 月 27 日 (木) 20 時 2 分 35 秒 (日本時間)
403e61300Serge BatalovMay 26, 2014 18:01:13 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 13 秒 (日本時間)
4511e6240Youcef LemsaferOctober 16, 2014 20:29:54 UTC 2014 年 10 月 17 日 (金) 5 時 29 分 54 秒 (日本時間)
5043e67500Erik BrangerApril 16, 2018 14:48:19 UTC 2018 年 4 月 16 日 (月) 23 時 48 分 19 秒 (日本時間)

8×10292-1

c261

name 名前Youcef Lemsafer
date 日付October 22, 2014 15:23:50 UTC 2014 年 10 月 23 日 (木) 0 時 23 分 50 秒 (日本時間)
composite number 合成数
718587068102323686483295952466536195508713381335966746954307559291961915061367802368499731405642312855783722145203611637430513011394237298661656490942777602538674573683604134146370671356215386061040881005844039963889503446797476863900110283913049840634324938721<261>
prime factors 素因数
17299417509792556092499146430042175328457<41>
41538223335875806482153234677174330294739450602310016078318744997192518383592518661160456429483571061720787029546237336049619879951564706160777776098220749829797771854504597594544464117318138071548814124649722665753086553<221>
factorization results 素因数分解の結果
[Wed Oct 22 14:21:17 2014]
N=0x5D78EB6EB082AAADBC0271F9FB4DA75F39DF7C79073817337FA59FFEC6C1DEE029B2C7A7651324C22F2FC56DFC7FFA910E5A7D1C89B1C4F1AD512C81A2A47576509F142014A944086AB36BE36DD90BC46614E59E0A4302208260DFCB2A0CA1FE2EDEE434E82D479909CD56FE1; QX=0x5587C0B92380FDC4B5C8EBCB76F75B4B72B4221D6C83E00C97E9902323A2D43E43C164C99A56BE140E65077B629496510DBE4FAA28366D185B01C68813C721439216F23C9BD24F2CFE7DEA22CFCAF7C84B6DAEC732BE96B1EC7B1AC0474D5B4141F0888C69F17069FE49E376A; SIGMA=1521277606458845

Resuming ECM residue saved with Prime95 
Input number is 0x5D78EB6EB082AAADBC0271F9FB4DA75F39DF7C79073817337FA59FFEC6C1DEE029B2C7A7651324C22F2FC56DFC7FFA910E5A7D1C89B1C4F1AD512C81A2A47576509F142014A944086AB36BE36DD90BC46614E59E0A4302208260DFCB2A0CA1FE2EDEE434E82D479909CD56FE1 (261 digits)
[Wed Oct 22 17:07:45 2014]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=0, B2=192353711566, polynomial Dickson(12), sigma=1521277606458845
dF=65536, k=4, d=690690, d2=17, i0=-16
Expected number of curves to find a factor of n digits:
35       40      45      50      55      60      65      70      75      80
Inf     Inf     Inf     Inf     Inf     Inf     Inf     Inf     Inf     Inf
Step 1 took 0ms
Using 31 small primes for NTT
Estimated memory usage: 341M
Initializing tables of differences for F took 109ms
Computing roots of F took 6692ms
Building F from its roots took 7222ms
Computing 1/F took 3385ms
Initializing table of differences for G took 172ms
Computing roots of G took 5351ms
Building G from its roots took 9407ms
Computing roots of G took 5632ms
Building G from its roots took 9859ms
Computing G * H took 1763ms
Reducing  G * H mod F took 2387ms
Computing roots of G took 5538ms
Building G from its roots took 9532ms
Computing G * H took 1653ms
Reducing  G * H mod F took 2028ms
Computing roots of G took 5850ms
Building G from its roots took 9407ms
Computing G * H took 1731ms
Reducing  G * H mod F took 2153ms
Computing polyeval(F,G) took 15974ms
Computing product of all F(g_i) took 47ms
Step 2 took 106314ms
********** Factor found in step 2: 17299417509792556092499146430042175328457
Found probable prime factor of 41 digits: 17299417509792556092499146430042175328457
Probable prime cofactor (0x5D78EB6EB082AAADBC0271F9FB4DA75F39DF7C79073817337FA59FFEC6C1DEE029B2C7A7651324C22F2FC56DFC7FFA910E5A7D1C89B1C4F1AD512C81A2A47576509F142014A944086AB36BE36DD90BC46614E59E0A4302208260DFCB2A0CA1FE2EDEE434E82D479909CD56FE1)/17299417509792556092499146430042175328457 has 221 digits
software ソフトウェア
Prime95 v28.5, GMP ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:02:51 UTC 2014 年 2 月 27 日 (木) 20 時 2 分 51 秒 (日本時間)
403e61300 / 1828Serge BatalovMay 26, 2014 18:01:14 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 14 秒 (日本時間)
4511e680 / 4151Youcef LemsaferOctober 22, 2014 15:21:11 UTC 2014 年 10 月 23 日 (木) 0 時 21 分 11 秒 (日本時間)

8×10293-1

c286

name 名前Serge Batalov
date 日付May 18, 2014 21:59:37 UTC 2014 年 5 月 19 日 (月) 6 時 59 分 37 秒 (日本時間)
composite number 合成数
6400687741096405326559528168182614885604228403133459883997615775819880294497883208554992816868186852940974801860510308111585973689701010994229307950680684738213751591180969212779974782730454821909704553934911198338439068601043044873085523293306819231112744602182015253174923139141454471<286>
prime factors 素因数
54367178790909287812379333097740949858864041<44>
117730731729023642557411173701611106219930349581705209678791567039664956741265825185771541234793890011783077175013729220506839028795723832714709426879214524818634548043282054154849926925233859640834896453474017928558746527419175238268039021231<243>
factorization results 素因数分解の結果
Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=3603443129
Step 1 took 412270ms
Step 2 took 211867ms
********** Factor found in step 2: 54367178790909287812379333097740949858864041
Found probable prime factor of 44 digits: 54367178790909287812379333097740949858864041
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:03:07 UTC 2014 年 2 月 27 日 (木) 20 時 3 分 7 秒 (日本時間)
403e60--
4511e630001000Serge BatalovMarch 2, 2014 03:23:14 UTC 2014 年 3 月 2 日 (日) 12 時 23 分 14 秒 (日本時間)
2000Serge BatalovMay 18, 2014 20:06:30 UTC 2014 年 5 月 19 日 (月) 5 時 6 分 30 秒 (日本時間)
5043e61000 / 6875Serge BatalovMay 18, 2014 20:15:39 UTC 2014 年 5 月 19 日 (月) 5 時 15 分 39 秒 (日本時間)

8×10295-1

c218

name 名前Erik Branger
date 日付April 8, 2018 20:52:03 UTC 2018 年 4 月 9 日 (月) 5 時 52 分 3 秒 (日本時間)
composite number 合成数
10548890419446293789127119257462730037162974374381265383858783236788682774035357569974117493735563469268500734707255224338272937151243396729523729503335407995149812584883295432533113782497138731549559798937030579946379<218>
prime factors 素因数
81508517659808828141897961111642148046026411434929<50>
composite cofactor 合成数の残り
129420712366210333890484559316812187809048623962059194753969595655515071381645378031536284832207973372794618720233949627705545424980228791744779913367375553270498285051<168>
factorization results 素因数分解の結果
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 10548890419446293789127119257462730037162974374381265383858783236788682774035357569974117493735563469268500734707255224338272937151243396729523729503335407995149812584883295432533113782497138731549559798937030579946379 (218 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:1702321968
Step 1 took 251828ms
Step 2 took 99047ms
********** Factor found in step 2: 81508517659808828141897961111642148046026411434929
Found probable prime factor of 50 digits: 81508517659808828141897961111642148046026411434929
Composite cofactor 129420712366210333890484559316812187809048623962059194753969595655515071381645378031536284832207973372794618720233949627705545424980228791744779913367375553270498285051 has 168 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:03:29 UTC 2014 年 2 月 27 日 (木) 20 時 3 分 29 秒 (日本時間)
403e61300Serge BatalovMay 26, 2014 18:01:14 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 14 秒 (日本時間)
4511e6240Youcef LemsaferOctober 23, 2014 07:23:24 UTC 2014 年 10 月 23 日 (木) 16 時 23 分 24 秒 (日本時間)
5043e67500Erik BrangerApril 8, 2018 20:51:34 UTC 2018 年 4 月 9 日 (月) 5 時 51 分 34 秒 (日本時間)

8×10297-1

c163

name 名前KTakahashi
date 日付February 27, 2014 07:47:17 UTC 2014 年 2 月 27 日 (木) 16 時 47 分 17 秒 (日本時間)
composite number 合成数
3057885065480919147652410411144184047304300354259352790360887252229376430382675536327892705352751406291080480681910556678606194349066361421746649776402654003640969<163>
prime factors 素因数
42113434277889474304750510759<29>
72610679179075628970750533045155431396096477391807842271782636634538005116616936383262920687740383548916998531635371481239551488954191<134>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 3057885065480919147652410411144184047304300354259352790360887252229376430382675536327892705352751406291080480681910556678606194349066361421746649776402654003640969 (163 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1478082418
Step 1 took 3885ms
Step 2 took 2945ms
********** Factor found in step 2: 42113434277889474304750510759
Found probable prime factor of 29 digits: 42113434277889474304750510759
Probable prime cofactor 72610679179075628970750533045155431396096477391807842271782636634538005116616936383262920687740383548916998531635371481239551488954191 has 134 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)

8×10298-1

c288

name 名前KTakahashi
date 日付February 27, 2014 11:05:28 UTC 2014 年 2 月 27 日 (木) 20 時 5 分 28 秒 (日本時間)
composite number 合成数
262159007035849650005824079769427860332682855512423998686522213054051789747475001597356212213443278972564718061630146966895023082602156079372713606339776030466463162509185382568557747278026959329387178153363017615111729973167840381772441614644970070158691422988102156280627267826379630159<288>
prime factors 素因数
312352887649996516372914450628687<33>
839303932831282002805385298424186640632434253344829825485566847310792624635509304857478775136829495335014011405870508380518634196963130312300304220833951674371251352197018506898058227600184778268863790788819515223637081230339039655180932026959593714285057<255>
factorization results 素因数分解の結果
Input number is 262159007035849650005824079769427860332682855512423998686522213054051789747475001597356212213443278972564718061630146966895023082602156079372713606339776030466463162509185382568557747278026959329387178153363017615111729973167840381772441614644970070158691422988102156280627267826379630159 (288 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2434608454
Step 1 took 8877ms
Step 2 took 4399ms
********** Factor found in step 2: 312352887649996516372914450628687
Found probable prime factor of 33 digits: 312352887649996516372914450628687
Probable prime cofactor 839303932831282002805385298424186640632434253344829825485566847310792624635509304857478775136829495335014011405870508380518634196963130312300304220833951674371251352197018506898058227600184778268863790788819515223637081230339039655180932026959593714285057 has 255 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)

8×10300-1

c182

name 名前KTakahashi
date 日付February 27, 2014 07:50:49 UTC 2014 年 2 月 27 日 (木) 16 時 50 分 49 秒 (日本時間)
composite number 合成数
11096727200294276639651741721796624902221075487753286648206629391932992605866212337208671133165262621348142933592982548679473145753326067136436354703658846292119286781116166688561191<182>
prime factors 素因数
59017542757253272055076111200833<32>
composite cofactor 合成数の残り
188024215883344039241747056863987666423483139133853772028131045608384008715186679868131058980994415096606331775397922388414785147487041207894816333927<150>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 11096727200294276639651741721796624902221075487753286648206629391932992605866212337208671133165262621348142933592982548679473145753326067136436354703658846292119286781116166688561191 (182 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1435576123
Step 1 took 4770ms
Step 2 took 3117ms
********** Factor found in step 2: 59017542757253272055076111200833
Found probable prime factor of 32 digits: 59017542757253272055076111200833
Composite cofactor 188024215883344039241747056863987666423483139133853772028131045608384008715186679868131058980994415096606331775397922388414785147487041207894816333927 has 150 digits

c150

name 名前Jo Yeong Uk
date 日付April 7, 2017 11:35:33 UTC 2017 年 4 月 7 日 (金) 20 時 35 分 33 秒 (日本時間)
composite number 合成数
188024215883344039241747056863987666423483139133853772028131045608384008715186679868131058980994415096606331775397922388414785147487041207894816333927<150>
prime factors 素因数
134053927967516891766933488907981282722105976382195682962565633635185751<72>
1402601316754439971514472409098209633895148744536562915769747077715797186456177<79>
factorization results 素因数分解の結果
Number: 79999_300
N=188024215883344039241747056863987666423483139133853772028131045608384008715186679868131058980994415096606331775397922388414785147487041207894816333927
  ( 150 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=134053927967516891766933488907981282722105976382195682962565633635185751
 r2=1402601316754439971514472409098209633895148744536562915769747077715797186456177
Version: 
Total time: 255.48 hours.
Scaled time: 1341.27 units (timescale=5.250).
Factorization parameters were as follows:
n: 188024215883344039241747056863987666423483139133853772028131045608384008715186679868131058980994415096606331775397922388414785147487041207894816333927
m: 2000000000000000000000000000000000
deg: 6
c6: 25
c3: 10
c0: 4
skew: 0.74
# Murphy_E = 1.17e-11
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [10000000, 19200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 38190860
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3279240 x 3279488
Total sieving time: 228.12 hours.
Total relation processing time: 6.65 hours.
Matrix solve time: 20.42 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,201,6,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 255.48 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 07:50:18 UTC 2014 年 2 月 27 日 (木) 16 時 50 分 18 秒 (日本時間)
403e62000Dmitry DomanovMarch 4, 2014 05:51:22 UTC 2014 年 3 月 4 日 (火) 14 時 51 分 22 秒 (日本時間)
4511e61600Dmitry DomanovMarch 7, 2014 05:53:44 UTC 2014 年 3 月 7 日 (金) 14 時 53 分 44 秒 (日本時間)
5043e6700 / 7113Dmitry DomanovMarch 11, 2014 05:43:53 UTC 2014 年 3 月 11 日 (火) 14 時 43 分 53 秒 (日本時間)