Table of contents 目次

86×10101-239

c92

name 名前Erik Branger
date 日付September 30, 2010 16:19:56 UTC 2010 年 10 月 1 日 (金) 1 時 19 分 56 秒 (日本時間)
composite number 合成数
24716141248868607961127276332696513386751924012317176021364343971934553045169297488782215931<92>
prime factors 素因数
59177802503768229367443442962915047657<38>
417658990417813724797538589148858468164818535393097283<54>
factorization results 素因数分解の結果
Number: 95553_101
N = 24716141248868607961127276332696513386751924012317176021364343971934553045169297488782215931 (92 digits)
SNFS difficulty: 103 digits.
Divisors found:
r1=59177802503768229367443442962915047657 (pp38)
r2=417658990417813724797538589148858468164818535393097283 (pp54)
Version: Msieve v. 1.47
Total time: 0.43 hours.
Factorization parameters were as follows:
n: 24716141248868607961127276332696513386751924012317176021364343971934553045169297488782215931
m: 10000000000000000000000000
deg: 4
c4: 860
c0: -23
skew: 0.40
type: snfs
lss: 1
rlim: 360000
alim: 360000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2
Factor base limits: 360000/360000
Large primes per side: 3
Large prime bits: 25/25
Sieved rational special-q in [180000, 280000)
Relations: 945309
Relations in full relation-set: 69250 relations
Pruned matrix : 38805 x 39031
Polynomial selection time: 0.00 hours.
Total sieving time: 0.42 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
time per square root: 0.01 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)

86×10102-239

c99

name 名前Serge Batalov
date 日付September 30, 2010 17:41:47 UTC 2010 年 10 月 1 日 (金) 2 時 41 分 47 秒 (日本時間)
composite number 合成数
748809306132399933826154341787912824665430260603052703985232783916272671072451653910787207550784073<99>
prime factors 素因数
2554708076426849218546887377498163731884255119281<49>
293109538832211511052891946184438805795537168183833<51>
factorization results 素因数分解の結果
SNFS difficulty: 103 digits.
Divisors found:
 r1=2554708076426849218546887377498163731884255119281 (pp49)
 r2=293109538832211511052891946184438805795537168183833 (pp51)
Version: Msieve v. 1.47 SVN367
Total time: 0.25 hours.
Scaled time: 0.59 units (timescale=2.400).
Factorization parameters were as follows:
n: 748809306132399933826154341787912824665430260603052703985232783916272671072451653910787207550784073
m: 10000000000000000000000000
deg: 4
c4: 8600
c0: -23
skew: 0.23
type: snfs
lss: 1
rlim: 380000
alim: 380000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2
Factor base limits: 380000/380000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [237500, 307501)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 31435 x 31683
Total sieving time: 0.22 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,103.000,4,0,0,0,0,0,0,0,0,380000,380000,25,25,43,43,2.2,2.2,10000
total time: 0.25 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)

86×10103-239

c102

name 名前Serge Batalov
date 日付September 30, 2010 18:16:22 UTC 2010 年 10 月 1 日 (金) 3 時 16 分 22 秒 (日本時間)
composite number 合成数
258958145137006925624811803673592291478470340258958145137006925624811803673592291478470340258958145137<102>
prime factors 素因数
64307395441190297015450987314618447369<38>
4026879698056291591252715596364022683133441225174815369092568873<64>
factorization results 素因数分解の結果
SNFS difficulty: 104 digits.
Divisors found:
 r1=64307395441190297015450987314618447369 (pp38)
 r2=4026879698056291591252715596364022683133441225174815369092568873 (pp64)
Version: Msieve v. 1.47 SVN367
Total time: 0.26 hours.
Scaled time: 0.63 units (timescale=2.400).
Factorization parameters were as follows:
n: 258958145137006925624811803673592291478470340258958145137006925624811803673592291478470340258958145137
m: 20000000000000000000000000
deg: 4
c4: 5375
c0: -23
skew: 0.26
type: snfs
lss: 1
rlim: 390000
alim: 390000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 390000/390000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [243750, 323751)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 32500 x 32726
Total sieving time: 0.24 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,104.000,4,0,0,0,0,0,0,0,0,390000,390000,25,25,44,44,2.2,2.2,10000
total time: 0.26 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)

86×10110-239

c92

name 名前Ignacio Santos
date 日付September 30, 2010 16:43:41 UTC 2010 年 10 月 1 日 (金) 1 時 43 分 41 秒 (日本時間)
composite number 合成数
40111045868573656913635283181807050441877005761055045922560538509302164376492651299651613699<92>
prime factors 素因数
140628536918914919132378300700185623<36>
285226930091019190547997063359665508415834386106920212213<57>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1379435595
Step 1 took 40029ms
Step 2 took 23073ms
********** Factor found in step 2: 140628536918914919132378300700185623
Found probable prime factor of 36 digits: 140628536918914919132378300700185623
Probable prime cofactor 285226930091019190547997063359665508415834386106920212213 has 57 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)

86×10112-239

c109

name 名前Dmitry Domanov
date 日付September 30, 2010 21:10:15 UTC 2010 年 10 月 1 日 (金) 6 時 10 分 15 秒 (日本時間)
composite number 合成数
7035973459653601027579379688944522167407080152827888635266589761840479755213574519958438668401115938116159013<109>
prime factors 素因数
9438228928825417195045662899<28>
745476032920216987929433483558993387036736991721070420515394301145591947868793287<81>
factorization results 素因数分解の結果
Number: wq1
N=7035973459653601027579379688944522167407080152827888635266589761840479755213574519958438668401115938116159013
  ( 109 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=9438228928825417195045662899 (pp28)
 r2=745476032920216987929433483558993387036736991721070420515394301145591947868793287 (pp81)
Version: Msieve-1.40
Total time: 0.99 hours.
Scaled time: 1.94 units (timescale=1.957).
Factorization parameters were as follows:
n: 7035973459653601027579379688944522167407080152827888635266589761840479755213574519958438668401115938116159013
m: 10000000000000000000000
deg: 5
c5: 8600
c0: -23
skew: 0.31
type: snfs
lss: 1
rlim: 550000
alim: 550000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 550000/550000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [275000, 525001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 68779 x 69004
Total sieving time: 0.93 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,113.000,5,0,0,0,0,0,0,0,0,550000,550000,25,25,45,45,2.2,2.2,50000
total time: 0.99 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)

86×10114-239

c104

name 名前Dmitry Domanov
date 日付September 30, 2010 21:11:04 UTC 2010 年 10 月 1 日 (金) 6 時 11 分 4 秒 (日本時間)
composite number 合成数
45929347121808457882025150489003101266920018558704467451506445475991295328092162327287027754700985473443<104>
prime factors 素因数
3354548802145140886137962959584158477363750649301<49>
13691661630451736078299640958449988225288323036935003543<56>
factorization results 素因数分解の結果
Number: wq2
N=45929347121808457882025150489003101266920018558704467451506445475991295328092162327287027754700985473443
  ( 104 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=3354548802145140886137962959584158477363750649301 (pp49)
 r2=13691661630451736078299640958449988225288323036935003543 (pp56)
Version: Msieve-1.40
Total time: 0.82 hours.
Scaled time: 1.53 units (timescale=1.861).
Factorization parameters were as follows:
n: 45929347121808457882025150489003101266920018558704467451506445475991295328092162327287027754700985473443
m: 20000000000000000000000
deg: 5
c5: 26875
c0: -23
skew: 0.24
type: snfs
lss: 1
rlim: 600000
alim: 600000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [300000, 500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 76178 x 76403
Total sieving time: 0.79 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,115.000,5,0,0,0,0,0,0,0,0,600000,600000,25,25,45,45,2.2,2.2,50000
total time: 0.82 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)

86×10120-239

c100

name 名前Dmitry Domanov
date 日付September 30, 2010 21:11:50 UTC 2010 年 10 月 1 日 (金) 6 時 11 分 50 秒 (日本時間)
composite number 合成数
3583057629661152994227036234397645465476310360593052953203342176464115456569078046114947638009319481<100>
prime factors 素因数
304540623579710155745956164110192723354770219<45>
11765450492431027360308869921046698588187176775968096299<56>
factorization results 素因数分解の結果
Number: wq3
N=3583057629661152994227036234397645465476310360593052953203342176464115456569078046114947638009319481
  ( 100 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=304540623579710155745956164110192723354770219 (pp45)
 r2=11765450492431027360308869921046698588187176775968096299 (pp56)
Version: Msieve-1.40
Total time: 1.30 hours.
Scaled time: 2.50 units (timescale=1.922).
Factorization parameters were as follows:
n: 3583057629661152994227036234397645465476310360593052953203342176464115456569078046114947638009319481
m: 1000000000000000000000000
deg: 5
c5: 86
c0: -23
skew: 0.77
type: snfs
lss: 1
rlim: 750000
alim: 750000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 750000/750000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [375000, 675001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 87804 x 88029
Total sieving time: 1.26 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,121.000,5,0,0,0,0,0,0,0,0,750000,750000,25,25,46,46,2.2,2.2,50000
total time: 1.30 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)

86×10121-239

c99

name 名前Dmitry Domanov
date 日付September 30, 2010 21:26:34 UTC 2010 年 10 月 1 日 (金) 6 時 26 分 34 秒 (日本時間)
composite number 合成数
211713561757275913583485860929408794136049689607725368073638368447604041605604208309940567101295279<99>
prime factors 素因数
59348606506369107128243128653467380421588441<44>
3567287830668028831185499723775230151781147663382398919<55>
factorization results 素因数分解の結果
Number: wq4
N=211713561757275913583485860929408794136049689607725368073638368447604041605604208309940567101295279
  ( 99 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=59348606506369107128243128653467380421588441 (pp44)
 r2=3567287830668028831185499723775230151781147663382398919 (pp55)
Version: Msieve-1.40
Total time: 1.16 hours.
Scaled time: 2.19 units (timescale=1.894).
Factorization parameters were as follows:
n: 211713561757275913583485860929408794136049689607725368073638368447604041605604208309940567101295279
m: 1000000000000000000000000
deg: 5
c5: 860
c0: -23
skew: 0.48
type: snfs
lss: 1
rlim: 780000
alim: 780000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 780000/780000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [390000, 640001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 86161 x 86386
Total sieving time: 1.11 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,122.000,5,0,0,0,0,0,0,0,0,780000,780000,25,25,46,46,2.2,2.2,50000
total time: 1.16 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)

86×10122-239

c90

name 名前Ignacio Santos
date 日付September 30, 2010 16:28:01 UTC 2010 年 10 月 1 日 (金) 1 時 28 分 1 秒 (日本時間)
composite number 合成数
385981226763042441601605220990375350444645929801471480447560641856507498373380510169413057<90>
prime factors 素因数
3030830453725008355459503294468209<34>
127351639313461602933775390922942198492623920813890888273<57>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3766288868
Step 1 took 39515ms
Step 2 took 22761ms
********** Factor found in step 2: 3030830453725008355459503294468209
Found probable prime factor of 34 digits: 3030830453725008355459503294468209
Probable prime cofactor 127351639313461602933775390922942198492623920813890888273 has 57 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)

86×10123-239

c102

name 名前Dmitry Domanov
date 日付September 30, 2010 21:56:53 UTC 2010 年 10 月 1 日 (金) 6 時 56 分 53 秒 (日本時間)
composite number 合成数
232553764224021673144354374532372977572448550018234102757908545142170848129294938083679780750879616213<102>
prime factors 素因数
1669822436691700547502386253818630225785433828723<49>
139268558808422630851930991200569898712576268395604631<54>
factorization results 素因数分解の結果
Number: wq5
N=232553764224021673144354374532372977572448550018234102757908545142170848129294938083679780750879616213
  ( 102 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=1669822436691700547502386253818630225785433828723 (pp49)
 r2=139268558808422630851930991200569898712576268395604631 (pp54)
Version: Msieve-1.40
Total time: 1.95 hours.
Scaled time: 3.72 units (timescale=1.905).
Factorization parameters were as follows:
n: 232553764224021673144354374532372977572448550018234102757908545142170848129294938083679780750879616213
m: 1000000000000000000000000
deg: 5
c5: 86000
c0: -23
skew: 0.19
type: snfs
lss: 1
rlim: 850000
alim: 850000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 850000/850000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [425000, 875001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 103652 x 103877
Total sieving time: 1.89 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,124.000,5,0,0,0,0,0,0,0,0,850000,850000,25,25,46,46,2.2,2.2,50000
total time: 1.95 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)

86×10124-239

c120

name 名前Dmitry Domanov
date 日付September 30, 2010 22:38:55 UTC 2010 年 10 月 1 日 (金) 7 時 38 分 55 秒 (日本時間)
composite number 合成数
249804731127325180984980054835043188623776356214575292743550172554070379287818330380699505531867676691098150312154249193<120>
prime factors 素因数
2844956900473693564020102355766878808397660408171849223<55>
87806156601434619175263868484758202541615466355311597272118261391<65>
factorization results 素因数分解の結果
Number: wq6
N=249804731127325180984980054835043188623776356214575292743550172554070379287818330380699505531867676691098150312154249193
  ( 120 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=2844956900473693564020102355766878808397660408171849223 (pp55)
 r2=87806156601434619175263868484758202541615466355311597272118261391 (pp65)
Version: Msieve-1.40
Total time: 1.66 hours.
Scaled time: 3.11 units (timescale=1.877).
Factorization parameters were as follows:
n: 249804731127325180984980054835043188623776356214575292743550172554070379287818330380699505531867676691098150312154249193
m: 2000000000000000000000000
deg: 5
c5: 26875
c0: -23
skew: 0.24
type: snfs
lss: 1
rlim: 880000
alim: 880000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 880000/880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [440000, 790001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 134907 x 135132
Total sieving time: 1.57 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,125.000,5,0,0,0,0,0,0,0,0,880000,880000,26,26,46,46,2.3,2.3,50000
total time: 1.66 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)

86×10125-239

c98

name 名前Dmitry Domanov
date 日付October 1, 2010 04:48:21 UTC 2010 年 10 月 1 日 (金) 13 時 48 分 21 秒 (日本時間)
composite number 合成数
17725749099851836576540173487865130030698708501274803787888562432243249620372190107134374369155439<98>
prime factors 素因数
145904137317459139380394845889115275867126501<45>
121489009330037298602778979832629324240552510455871939<54>
factorization results 素因数分解の結果
Number: wq7
N=17725749099851836576540173487865130030698708501274803787888562432243249620372190107134374369155439
  ( 98 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=145904137317459139380394845889115275867126501 (pp45)
 r2=121489009330037298602778979832629324240552510455871939 (pp54)
Version: Msieve-1.40
Total time: 1.68 hours.
Scaled time: 3.17 units (timescale=1.883).
Factorization parameters were as follows:
n: 17725749099851836576540173487865130030698708501274803787888562432243249620372190107134374369155439
m: 10000000000000000000000000
deg: 5
c5: 86
c0: -23
skew: 0.77
type: snfs
lss: 1
rlim: 910000
alim: 910000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 910000/910000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [455000, 805001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 129747 x 129972
Total sieving time: 1.61 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,126.000,5,0,0,0,0,0,0,0,0,910000,910000,26,26,46,46,2.3,2.3,50000
total time: 1.68 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
351e6418118Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 30, 2010 19:08:45 UTC 2010 年 10 月 1 日 (金) 4 時 8 分 45 秒 (日本時間)
403e6110 / 2126Ignacio SantosSeptember 30, 2010 19:08:45 UTC 2010 年 10 月 1 日 (金) 4 時 8 分 45 秒 (日本時間)
4511e632 / 4437Ignacio SantosSeptember 30, 2010 19:08:45 UTC 2010 年 10 月 1 日 (金) 4 時 8 分 45 秒 (日本時間)

86×10130-239

c94

name 名前Sinkiti Sibata
date 日付October 1, 2010 07:56:48 UTC 2010 年 10 月 1 日 (金) 16 時 56 分 48 秒 (日本時間)
composite number 合成数
3387189925483635668174978925122195572979759511015494163192765041256844647164066050265391429491<94>
prime factors 素因数
5437485308229871463623405054059317986993<40>
622933163673467917368725094143809938262972585279762787<54>
factorization results 素因数分解の結果
Number: 95553_130
N=3387189925483635668174978925122195572979759511015494163192765041256844647164066050265391429491
  ( 94 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=5437485308229871463623405054059317986993 (pp40)
 r2=622933163673467917368725094143809938262972585279762787 (pp54)
Version: Msieve v. 1.42
Total time: 0.09 hours.
Scaled time: 0.10 units (timescale=1.024).
Factorization parameters were as follows:
name: 95553_130
n: 3387189925483635668174978925122195572979759511015494163192765041256844647164066050265391429491
m: 100000000000000000000000000
deg: 5
c5: 86
c0: -23
skew: 0.77
type: snfs
lss: 1
rlim: 1110000
alim: 1110000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1110000/1110000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [555000, 1055001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 163433 x 163659
Total sieving time: 0.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,131.000,5,0,0,0,0,0,0,0,0,1110000,1110000,26,26,47,47,2.3,2.3,50000
total time: 0.09 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 3057976k/3145344k available (3786k kernel code, 496k absent, 86872k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4787.92 BogoMIPS (lpj=2393962)
Calibrating delay using timer specific routine.. 4787.75 BogoMIPS (lpj=2393875)
Calibrating delay using timer specific routine.. 4787.78 BogoMIPS (lpj=2393890)
Calibrating delay using timer specific routine.. 4787.78 BogoMIPS (lpj=2393890)
Total of 4 processors activated (19151.23 BogoMIPS).

Total time: 1 hours 55 min.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 30, 2010 17:22:07 UTC 2010 年 10 月 1 日 (金) 2 時 22 分 7 秒 (日本時間)
403e6110 / 2126Ignacio SantosSeptember 30, 2010 17:22:07 UTC 2010 年 10 月 1 日 (金) 2 時 22 分 7 秒 (日本時間)
4511e632 / 4437Ignacio SantosSeptember 30, 2010 17:22:07 UTC 2010 年 10 月 1 日 (金) 2 時 22 分 7 秒 (日本時間)

86×10132-239

c125

name 名前Dmitry Domanov
date 日付October 1, 2010 04:49:04 UTC 2010 年 10 月 1 日 (金) 13 時 49 分 4 秒 (日本時間)
composite number 合成数
24410093136514513949451287914817860049623806276444005605466802032213710964876657875658300226172370784447484619362812104537953<125>
prime factors 素因数
5206349723245238327309005120849820869481131469<46>
4688523521101294309573118072221825535988617285227365141580160151807755468094437<79>
factorization results 素因数分解の結果
Number: wq8
N=24410093136514513949451287914817860049623806276444005605466802032213710964876657875658300226172370784447484619362812104537953
  ( 125 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=5206349723245238327309005120849820869481131469 (pp46)
 r2=4688523521101294309573118072221825535988617285227365141580160151807755468094437 (pp79)
Version: Msieve-1.40
Total time: 3.60 hours.
Scaled time: 6.90 units (timescale=1.916).
Factorization parameters were as follows:
n: 24410093136514513949451287914817860049623806276444005605466802032213710964876657875658300226172370784447484619362812104537953
m: 100000000000000000000000000
deg: 5
c5: 8600
c0: -23
skew: 0.31
type: snfs
lss: 1
rlim: 1190000
alim: 1190000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1190000/1190000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [595000, 1345001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 218277 x 218513
Total sieving time: 3.44 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,133.000,5,0,0,0,0,0,0,0,0,1190000,1190000,26,26,47,47,2.3,2.3,75000
total time: 3.60 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)

86×10135-239

c129

name 名前Dmitry Domanov
date 日付October 1, 2010 04:49:47 UTC 2010 年 10 月 1 日 (金) 13 時 49 分 47 秒 (日本時間)
composite number 合成数
692557978920612795593308340526474039395709662912784989923563261696505003743477201059784431343341263202721971898751341317705424313<129>
prime factors 素因数
384504946232794172599204929041931307<36>
1801167932183924097320534533730087323296248640929337190359122299596358134974078876336771999659<94>
factorization results 素因数分解の結果
Number: wq9
N=692557978920612795593308340526474039395709662912784989923563261696505003743477201059784431343341263202721971898751341317705424313
  ( 129 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=384504946232794172599204929041931307 (pp36)
 r2=1801167932183924097320534533730087323296248640929337190359122299596358134974078876336771999659 (pp94)
Version: Msieve-1.40
Total time: 3.53 hours.
Scaled time: 6.56 units (timescale=1.861).
Factorization parameters were as follows:
n: 692557978920612795593308340526474039395709662912784989923563261696505003743477201059784431343341263202721971898751341317705424313
m: 1000000000000000000000000000
deg: 5
c5: 86
c0: -23
skew: 0.77
type: snfs
lss: 1
rlim: 1340000
alim: 1340000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1340000/1340000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [670000, 1345001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 231227 x 231473
Total sieving time: 3.35 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1340000,1340000,26,26,48,48,2.3,2.3,75000
total time: 3.53 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)

86×10137-239

c96

name 名前Sinkiti Sibata
date 日付October 1, 2010 20:04:27 UTC 2010 年 10 月 2 日 (土) 5 時 4 分 27 秒 (日本時間)
composite number 合成数
427947441919767278971224092120619408420774824641607309747680802065232567566562961045111712423687<96>
prime factors 素因数
1113994116117198507944545011778095630681157<43>
384155926614198362205699401413923607204875060043651291<54>
factorization results 素因数分解の結果
Number: 95553_137
N=427947441919767278971224092120619408420774824641607309747680802065232567566562961045111712423687
  ( 96 digits)
Divisors found:
 r1=1113994116117198507944545011778095630681157 (pp43)
 r2=384155926614198362205699401413923607204875060043651291 (pp54)
Version: Msieve-1.40
Total time: 6.40 hours.
Scaled time: 13.18 units (timescale=2.058).
Factorization parameters were as follows:
name: 95553_137
n:  427947441919767278971224092120619408420774824641607309747680802065232567566562961045111712423687
m:  9217906466807598259844
deg: 4
c4: 59273592
c3: 649803775169
c2: 172361505968541527
c1: -2586014759180201485
c0: -154439951337358431133173
skew: 1635.250
type: gnfs
# adj. I(F,S) = 54.272
# E(F1,F2) = 3.011346e-05
# GGNFS version 0.77.1-20060722-pentium4 polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1285925559.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 1380001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 179316 x 179564
Polynomial selection time: 0.17 hours.
Total sieving time: 5.90 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
gnfs,95,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 6.40 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
351e6418118Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 30, 2010 17:48:49 UTC 2010 年 10 月 1 日 (金) 2 時 48 分 49 秒 (日本時間)
403e6110 / 2126Ignacio SantosSeptember 30, 2010 17:48:49 UTC 2010 年 10 月 1 日 (金) 2 時 48 分 49 秒 (日本時間)
4511e632 / 4437Ignacio SantosSeptember 30, 2010 17:48:49 UTC 2010 年 10 月 1 日 (金) 2 時 48 分 49 秒 (日本時間)

86×10142-239

c124

name 名前Dmitry Domanov
date 日付October 1, 2010 04:50:24 UTC 2010 年 10 月 1 日 (金) 13 時 50 分 24 秒 (日本時間)
composite number 合成数
9910243761491876417866995682431425854007882069121367646512285597002323484102271994401063495208878147320976791988345553592751<124>
prime factors 素因数
7893374941497843776386716919569798424309711641463<49>
1255514128613192723131701747631218131164189909378152752294174182379156752777<76>
factorization results 素因数分解の結果
Number: wq10
N=9910243761491876417866995682431425854007882069121367646512285597002323484102271994401063495208878147320976791988345553592751
  ( 124 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=7893374941497843776386716919569798424309711641463 (pp49)
 r2=1255514128613192723131701747631218131164189909378152752294174182379156752777 (pp76)
Version: Msieve-1.40
Total time: 8.79 hours.
Scaled time: 16.74 units (timescale=1.905).
Factorization parameters were as follows:
n: 9910243761491876417866995682431425854007882069121367646512285597002323484102271994401063495208878147320976791988345553592751
m: 10000000000000000000000000000
deg: 5
c5: 8600
c0: -23
skew: 0.31
type: snfs
lss: 1
rlim: 1750000
alim: 1750000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1750000/1750000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [875000, 2575001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 330380 x 330605
Total sieving time: 8.52 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,143.000,5,0,0,0,0,0,0,0,0,1750000,1750000,26,26,48,48,2.3,2.3,100000
total time: 8.79 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)

86×10145-239

c97

name 名前Sinkiti Sibata
date 日付October 1, 2010 09:23:46 UTC 2010 年 10 月 1 日 (金) 18 時 23 分 46 秒 (日本時間)
composite number 合成数
9303165446572980328379144507700122572940800907392527726651379931990594246111074320914027424210841<97>
prime factors 素因数
41100480988343902289813636538571<32>
226351741460431043220948449246610491908483750972037207166663731371<66>
factorization results 素因数分解の結果
Number: 95553_145
N=9303165446572980328379144507700122572940800907392527726651379931990594246111074320914027424210841
  ( 97 digits)
Divisors found:
 r1=41100480988343902289813636538571 (pp32)
 r2=226351741460431043220948449246610491908483750972037207166663731371 (pp66)
Version: Msieve-1.40
Total time: 9.77 hours.
Scaled time: 19.85 units (timescale=2.032).
Factorization parameters were as follows:
name: 95553_145
n:  9303165446572980328379144507700122572940800907392527726651379931990594246111074320914027424210841
m:  17028627457557406721100
deg: 4
c4: 110640000
c3: -85016382776
c2: -1809491346359411314
c1: 2010066564340177574
c0: 2187568062956152253539441
skew: 1635.250
type: gnfs
# adj. I(F,S) = 56.280
# E(F1,F2) = 1.655372e-05
# GGNFS version 0.77.1-20060722-pentium4 polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1285887978.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 1860001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 206175 x 206421
Polynomial selection time: 0.17 hours.
Total sieving time: 9.37 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,96,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 9.77 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
351e6418118Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 30, 2010 18:27:24 UTC 2010 年 10 月 1 日 (金) 3 時 27 分 24 秒 (日本時間)
403e6110 / 2126Ignacio SantosSeptember 30, 2010 18:27:24 UTC 2010 年 10 月 1 日 (金) 3 時 27 分 24 秒 (日本時間)
4511e632 / 4437Ignacio SantosSeptember 30, 2010 18:27:24 UTC 2010 年 10 月 1 日 (金) 3 時 27 分 24 秒 (日本時間)

86×10147-239

c138

name 名前Dmitry Domanov
date 日付October 2, 2010 13:57:13 UTC 2010 年 10 月 2 日 (土) 22 時 57 分 13 秒 (日本時間)
composite number 合成数
212829311967226323099827069937486322374388807525751289697847247405573826196320146479666259912623691018988971985616264815541740052935359007<138>
prime factors 素因数
3670291875196257022683823479450443840163486778078247993996551687<64>
57987026428476062803230375698154526759944939273075682128348431687664600361<74>
factorization results 素因数分解の結果
Wed Mar 03 11:02:36 2010  
Wed Mar 03 11:02:36 2010  
Wed Mar 03 11:02:36 2010  Msieve v. 1.42
Wed Mar 03 11:02:36 2010  random seeds: 3c3cfac0 c32c5480
Wed Mar 03 11:02:36 2010  factoring 78888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883 (200 digits)
Wed Mar 03 11:02:38 2010  searching for 15-digit factors
Wed Mar 03 11:02:39 2010  commencing number field sieve (200-digit input)
Wed Mar 03 11:02:39 2010  R0: -1000000000000000000000000000000000000000
Wed Mar 03 11:02:39 2010  R1:  1
Wed Mar 03 11:02:39 2010  A0: -53
Wed Mar 03 11:02:39 2010  A1:  0
Wed Mar 03 11:02:39 2010  A2:  0
Wed Mar 03 11:02:39 2010  A3:  0
Wed Mar 03 11:02:39 2010  A4:  0
Wed Mar 03 11:02:39 2010  A5:  710000
Wed Mar 03 11:02:39 2010  skew 0.15, size 2.028408e-014, alpha 0.050895, combined = 8.090708e-012
Wed Mar 03 11:02:39 2010  
Wed Mar 03 11:02:39 2010  commencing relation filtering
Wed Mar 03 11:02:39 2010  estimated available RAM is 4096.0 MB
Wed Mar 03 11:02:39 2010  commencing duplicate removal, pass 1
Wed Mar 03 11:02:46 2010  error -15 reading relation 786787
Wed Mar 03 11:02:47 2010  error -15 reading relation 860620
Wed Mar 03 11:02:47 2010  error -15 reading relation 860993
Wed Mar 03 11:02:47 2010  error -9 reading relation 861027
Wed Mar 03 11:02:47 2010  error -9 reading relation 873927
Wed Mar 03 11:02:47 2010  error -11 reading relation 879003
Wed Mar 03 11:02:47 2010  error -9 reading relation 879036
Wed Mar 03 11:02:47 2010  error -11 reading relation 879071
Wed Mar 03 11:02:47 2010  error -9 reading relation 890171
Wed Mar 03 11:02:47 2010  error -11 reading relation 890205
Wed Mar 03 11:02:47 2010  error -5 reading relation 890240
Wed Mar 03 11:02:47 2010  error -1 reading relation 893649
Wed Mar 03 11:02:48 2010  error -9 reading relation 926045
Wed Mar 03 11:02:48 2010  error -9 reading relation 926080
Wed Mar 03 11:02:48 2010  error -9 reading relation 951447
Wed Mar 03 11:02:48 2010  error -1 reading relation 951481
Wed Mar 03 11:02:48 2010  error -11 reading relation 966734
Wed Mar 03 11:02:48 2010  error -11 reading relation 975863
Wed Mar 03 11:02:49 2010  error -9 reading relation 1037847
Wed Mar 03 11:02:49 2010  error -11 reading relation 1037881
Wed Mar 03 11:02:49 2010  error -15 reading relation 1037914
Wed Mar 03 11:02:49 2010  error -5 reading relation 1062559
Wed Mar 03 11:02:49 2010  error -11 reading relation 1062593
Wed Mar 03 11:02:49 2010  error -11 reading relation 1077935
Wed Mar 03 11:02:49 2010  error -1 reading relation 1077969
Wed Mar 03 11:02:49 2010  error -15 reading relation 1086994
Wed Mar 03 11:02:49 2010  error -15 reading relation 1087028
Wed Mar 03 11:02:50 2010  error -11 reading relation 1150331
Wed Mar 03 11:02:50 2010  error -9 reading relation 1174665
Wed Mar 03 11:02:50 2010  error -9 reading relation 1189533
Wed Mar 03 11:02:50 2010  error -15 reading relation 1198559
Wed Mar 03 11:02:51 2010  error -9 reading relation 1267523
Wed Mar 03 11:02:51 2010  error -11 reading relation 1291885
Wed Mar 03 11:02:51 2010  error -9 reading relation 1306889
Wed Mar 03 11:02:51 2010  error -15 reading relation 1306923
Wed Mar 03 11:02:51 2010  error -11 reading relation 1306956
Wed Mar 03 11:02:51 2010  error -11 reading relation 1315858
Wed Mar 03 11:02:51 2010  error -11 reading relation 1315891
Wed Mar 03 11:02:52 2010  error -15 reading relation 1379138
Wed Mar 03 11:02:52 2010  error -9 reading relation 1379173
Wed Mar 03 11:02:52 2010  error -15 reading relation 1403998
Wed Mar 03 11:02:52 2010  error -11 reading relation 1418793
Wed Mar 03 11:02:52 2010  error -11 reading relation 1427829
Wed Mar 03 11:02:53 2010  error -15 reading relation 1488143
Wed Mar 03 11:02:53 2010  error -11 reading relation 1512127
Wed Mar 03 11:02:53 2010  error -5 reading relation 1526914
Wed Mar 03 11:02:53 2010  error -11 reading relation 1535927
Wed Mar 03 11:02:59 2010  error -6 reading relation 2241927
Wed Mar 03 11:03:12 2010  error -11 reading relation 3678124
Wed Mar 03 11:03:27 2010  error -11 reading relation 5386624
Wed Mar 03 11:03:35 2010  error -6 reading relation 6247950
Wed Mar 03 11:04:36 2010  error -11 reading relation 13301132
Wed Mar 03 11:05:06 2010  error -6 reading relation 16667108
Wed Mar 03 11:05:17 2010  error -6 reading relation 17970236
Wed Mar 03 11:05:22 2010  error -11 reading relation 18517704
Wed Mar 03 11:05:36 2010  error -11 reading relation 20041062
Wed Mar 03 11:05:41 2010  error -6 reading relation 20637769
Wed Mar 03 11:05:42 2010  error -6 reading relation 20715077
Wed Mar 03 11:05:47 2010  error -6 reading relation 21352807
Wed Mar 03 11:05:52 2010  error -6 reading relation 21920170
Wed Mar 03 11:05:53 2010  error -11 reading relation 22021845
Wed Mar 03 11:06:50 2010  error -6 reading relation 27087288
Wed Mar 03 11:07:07 2010  error -6 reading relation 29067316
Wed Mar 03 11:07:07 2010  error -11 reading relation 29085127
Wed Mar 03 11:07:07 2010  error -11 reading relation 29085128
Wed Mar 03 11:07:51 2010  error -11 reading relation 34084703
Wed Mar 03 11:07:51 2010  error -6 reading relation 34096986
Wed Mar 03 11:07:56 2010  error -6 reading relation 34678473
Wed Mar 03 11:07:56 2010  error -11 reading relation 34678474
Wed Mar 03 11:08:22 2010  error -11 reading relation 37557476
Wed Mar 03 11:08:23 2010  error -6 reading relation 37707473
Wed Mar 03 11:08:24 2010  error -11 reading relation 37803031
Wed Mar 03 11:08:25 2010  error -11 reading relation 37966702
Wed Mar 03 11:08:26 2010  error -6 reading relation 37970028
Wed Mar 03 11:08:46 2010  found 5230747 hash collisions in 40308174 relations
Wed Mar 03 11:09:40 2010  commencing duplicate removal, pass 2
Wed Mar 03 11:10:58 2010  found 4553187 duplicates and 35754987 unique relations
Wed Mar 03 11:10:58 2010  memory use: 197.2 MB
Wed Mar 03 11:10:58 2010  reading ideals above 23920640
Wed Mar 03 11:10:58 2010  commencing singleton removal, initial pass
Wed Mar 03 11:17:16 2010  memory use: 596.8 MB
Wed Mar 03 11:17:16 2010  reading all ideals from disk
Wed Mar 03 11:17:17 2010  memory use: 629.5 MB
Wed Mar 03 11:17:21 2010  commencing in-memory singleton removal
Wed Mar 03 11:17:24 2010  begin with 35754987 relations and 36034498 unique ideals
Wed Mar 03 11:18:01 2010  reduce to 14070146 relations and 10947730 ideals in 19 passes
Wed Mar 03 11:18:01 2010  max relations containing the same ideal: 33
Wed Mar 03 11:18:04 2010  reading ideals above 720000
Wed Mar 03 11:18:04 2010  commencing singleton removal, initial pass
Wed Mar 03 11:21:24 2010  memory use: 298.4 MB
Wed Mar 03 11:21:24 2010  reading all ideals from disk
Wed Mar 03 11:21:25 2010  memory use: 482.0 MB
Wed Mar 03 11:21:28 2010  commencing in-memory singleton removal
Wed Mar 03 11:21:31 2010  begin with 14070301 relations and 13837017 unique ideals
Wed Mar 03 11:22:15 2010  reduce to 14040651 relations and 13806601 ideals in 14 passes
Wed Mar 03 11:22:15 2010  max relations containing the same ideal: 183
Wed Mar 03 11:22:30 2010  removing 765612 relations and 716228 ideals in 49384 cliques
Wed Mar 03 11:22:31 2010  commencing in-memory singleton removal
Wed Mar 03 11:22:33 2010  begin with 13275039 relations and 13806601 unique ideals
Wed Mar 03 11:23:07 2010  reduce to 13239518 relations and 13054632 ideals in 11 passes
Wed Mar 03 11:23:07 2010  max relations containing the same ideal: 176
Wed Mar 03 11:23:20 2010  removing 547874 relations and 498490 ideals in 49384 cliques
Wed Mar 03 11:23:21 2010  commencing in-memory singleton removal
Wed Mar 03 11:23:24 2010  begin with 12691644 relations and 13054632 unique ideals
Wed Mar 03 11:23:47 2010  reduce to 12672403 relations and 12536833 ideals in 8 passes
Wed Mar 03 11:23:47 2010  max relations containing the same ideal: 168
Wed Mar 03 11:24:03 2010  relations with 0 large ideals: 3007
Wed Mar 03 11:24:03 2010  relations with 1 large ideals: 209
Wed Mar 03 11:24:03 2010  relations with 2 large ideals: 5817
Wed Mar 03 11:24:03 2010  relations with 3 large ideals: 62796
Wed Mar 03 11:24:03 2010  relations with 4 large ideals: 374081
Wed Mar 03 11:24:03 2010  relations with 5 large ideals: 1303963
Wed Mar 03 11:24:03 2010  relations with 6 large ideals: 2918903
Wed Mar 03 11:24:03 2010  relations with 7+ large ideals: 8003627
Wed Mar 03 11:24:03 2010  commencing 2-way merge
Wed Mar 03 11:24:23 2010  reduce to 7270953 relation sets and 7135385 unique ideals
Wed Mar 03 11:24:23 2010  ignored 2 oversize relation sets
Wed Mar 03 11:24:23 2010  commencing full merge
Wed Mar 03 11:27:53 2010  memory use: 754.6 MB
Wed Mar 03 11:27:55 2010  found 3793737 cycles, need 3781585
Wed Mar 03 11:27:55 2010  weight of 3781585 cycles is about 264721485 (70.00/cycle)
Wed Mar 03 11:27:55 2010  distribution of cycle lengths:
Wed Mar 03 11:27:55 2010  1 relations: 583375
Wed Mar 03 11:27:55 2010  2 relations: 516721
Wed Mar 03 11:27:55 2010  3 relations: 479760
Wed Mar 03 11:27:55 2010  4 relations: 412490
Wed Mar 03 11:27:55 2010  5 relations: 339768
Wed Mar 03 11:27:55 2010  6 relations: 284109
Wed Mar 03 11:27:55 2010  7 relations: 230622
Wed Mar 03 11:27:55 2010  8 relations: 184055
Wed Mar 03 11:27:55 2010  9 relations: 147742
Wed Mar 03 11:27:55 2010  10+ relations: 602943
Wed Mar 03 11:27:55 2010  heaviest cycle: 28 relations
Wed Mar 03 11:27:57 2010  commencing cycle optimization
Wed Mar 03 11:28:07 2010  start with 20735082 relations
Wed Mar 03 12:15:55 2010  
Wed Mar 03 12:15:55 2010  
Wed Mar 03 12:15:55 2010  Msieve v. 1.42
Wed Mar 03 12:15:55 2010  random seeds: 31a902a4 65bc5e58
Wed Mar 03 12:15:55 2010  factoring 78888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883 (200 digits)
Wed Mar 03 12:15:57 2010  searching for 15-digit factors
Wed Mar 03 12:15:59 2010  commencing number field sieve (200-digit input)
Wed Mar 03 12:15:59 2010  R0: -1000000000000000000000000000000000000000
Wed Mar 03 12:15:59 2010  R1:  1
Wed Mar 03 12:15:59 2010  A0: -53
Wed Mar 03 12:15:59 2010  A1:  0
Wed Mar 03 12:15:59 2010  A2:  0
Wed Mar 03 12:15:59 2010  A3:  0
Wed Mar 03 12:15:59 2010  A4:  0
Wed Mar 03 12:15:59 2010  A5:  710000
Wed Mar 03 12:15:59 2010  skew 0.15, size 2.028408e-014, alpha 0.050895, combined = 8.090708e-012
Wed Mar 03 12:15:59 2010  
Wed Mar 03 12:15:59 2010  commencing relation filtering
Wed Mar 03 12:15:59 2010  estimated available RAM is 4096.0 MB
Wed Mar 03 12:15:59 2010  commencing duplicate removal, pass 1
Wed Mar 03 12:16:06 2010  error -15 reading relation 786787
Wed Mar 03 12:16:07 2010  error -15 reading relation 860620
Wed Mar 03 12:16:07 2010  error -15 reading relation 860993
Wed Mar 03 12:16:07 2010  error -9 reading relation 861027
Wed Mar 03 12:16:07 2010  error -9 reading relation 873927
Wed Mar 03 12:16:07 2010  error -11 reading relation 879003
Wed Mar 03 12:16:07 2010  error -9 reading relation 879036
Wed Mar 03 12:16:07 2010  error -11 reading relation 879071
Wed Mar 03 12:16:07 2010  error -9 reading relation 890171
Wed Mar 03 12:16:07 2010  error -11 reading relation 890205
Wed Mar 03 12:16:07 2010  error -5 reading relation 890240
Wed Mar 03 12:16:07 2010  error -1 reading relation 893649
Wed Mar 03 12:16:08 2010  error -9 reading relation 926045
Wed Mar 03 12:16:08 2010  error -9 reading relation 926080
Wed Mar 03 12:16:08 2010  error -9 reading relation 951447
Wed Mar 03 12:16:08 2010  error -1 reading relation 951481
Wed Mar 03 12:16:08 2010  error -11 reading relation 966734
Wed Mar 03 12:16:08 2010  error -11 reading relation 975863
Wed Mar 03 12:16:09 2010  error -9 reading relation 1037847
Wed Mar 03 12:16:09 2010  error -11 reading relation 1037881
Wed Mar 03 12:16:09 2010  error -15 reading relation 1037914
Wed Mar 03 12:16:09 2010  error -5 reading relation 1062559
Wed Mar 03 12:16:09 2010  error -11 reading relation 1062593
Wed Mar 03 12:16:09 2010  error -11 reading relation 1077935
Wed Mar 03 12:16:09 2010  error -1 reading relation 1077969
Wed Mar 03 12:16:09 2010  error -15 reading relation 1086994
Wed Mar 03 12:16:09 2010  error -15 reading relation 1087028
Wed Mar 03 12:16:10 2010  error -11 reading relation 1150331
Wed Mar 03 12:16:10 2010  error -9 reading relation 1174665
Wed Mar 03 12:16:10 2010  error -9 reading relation 1189533
Wed Mar 03 12:16:10 2010  error -15 reading relation 1198559
Wed Mar 03 12:16:11 2010  error -9 reading relation 1267523
Wed Mar 03 12:16:11 2010  error -11 reading relation 1291885
Wed Mar 03 12:16:11 2010  error -9 reading relation 1306889
Wed Mar 03 12:16:11 2010  error -15 reading relation 1306923
Wed Mar 03 12:16:11 2010  error -11 reading relation 1306956
Wed Mar 03 12:16:11 2010  error -11 reading relation 1315858
Wed Mar 03 12:16:11 2010  error -11 reading relation 1315891
Wed Mar 03 12:16:12 2010  error -15 reading relation 1379138
Wed Mar 03 12:16:12 2010  error -9 reading relation 1379173
Wed Mar 03 12:16:12 2010  error -15 reading relation 1403998
Wed Mar 03 12:16:12 2010  error -11 reading relation 1418793
Wed Mar 03 12:16:12 2010  error -11 reading relation 1427829
Wed Mar 03 12:16:13 2010  error -15 reading relation 1488143
Wed Mar 03 12:16:13 2010  error -11 reading relation 1512127
Wed Mar 03 12:16:13 2010  error -5 reading relation 1526914
Wed Mar 03 12:16:13 2010  error -11 reading relation 1535927
Wed Mar 03 12:16:19 2010  error -6 reading relation 2241927
Wed Mar 03 12:16:31 2010  error -11 reading relation 3678124
Wed Mar 03 12:16:45 2010  error -11 reading relation 5386624
Wed Mar 03 12:16:53 2010  error -6 reading relation 6247950
Wed Mar 03 12:17:52 2010  error -11 reading relation 13301132
Wed Mar 03 12:18:22 2010  error -6 reading relation 16667108
Wed Mar 03 12:18:34 2010  error -6 reading relation 17970236
Wed Mar 03 12:18:41 2010  error -11 reading relation 18517704
Wed Mar 03 12:18:54 2010  error -11 reading relation 20041062
Wed Mar 03 12:18:59 2010  error -6 reading relation 20637769
Wed Mar 03 12:19:00 2010  error -6 reading relation 20715077
Wed Mar 03 12:19:05 2010  error -6 reading relation 21352807
Wed Mar 03 12:19:11 2010  error -6 reading relation 21920170
Wed Mar 03 12:19:12 2010  error -11 reading relation 22021845
Wed Mar 03 12:20:16 2010  error -6 reading relation 27087288
Wed Mar 03 12:20:34 2010  error -6 reading relation 29067316
Wed Mar 03 12:20:34 2010  error -11 reading relation 29085127
Wed Mar 03 12:20:34 2010  error -11 reading relation 29085128
Wed Mar 03 12:21:16 2010  error -11 reading relation 34084703
Wed Mar 03 12:21:16 2010  error -6 reading relation 34096986
Wed Mar 03 12:21:21 2010  error -6 reading relation 34678473
Wed Mar 03 12:21:21 2010  error -11 reading relation 34678474
Wed Mar 03 12:21:47 2010  error -11 reading relation 37557476
Wed Mar 03 12:21:49 2010  error -6 reading relation 37707473
Wed Mar 03 12:21:50 2010  error -11 reading relation 37803031
Wed Mar 03 12:21:52 2010  error -11 reading relation 37966702
Wed Mar 03 12:21:53 2010  error -6 reading relation 37970028
Wed Mar 03 12:22:17 2010  found 5230747 hash collisions in 40308174 relations
Wed Mar 03 12:23:11 2010  commencing duplicate removal, pass 2
Wed Mar 03 12:24:32 2010  found 4553187 duplicates and 35754987 unique relations
Wed Mar 03 12:24:32 2010  memory use: 197.2 MB
Wed Mar 03 12:24:32 2010  reading ideals above 23920640
Wed Mar 03 12:24:32 2010  commencing singleton removal, initial pass
Wed Mar 03 12:31:05 2010  memory use: 596.8 MB
Wed Mar 03 12:31:05 2010  reading all ideals from disk
Wed Mar 03 12:31:06 2010  memory use: 629.5 MB
Wed Mar 03 12:31:10 2010  commencing in-memory singleton removal
Wed Mar 03 12:31:14 2010  begin with 35754987 relations and 36034498 unique ideals
Wed Mar 03 12:31:57 2010  reduce to 14070146 relations and 10947730 ideals in 19 passes
Wed Mar 03 12:31:57 2010  max relations containing the same ideal: 33
Wed Mar 03 12:32:01 2010  reading ideals above 720000
Wed Mar 03 12:32:01 2010  commencing singleton removal, initial pass
Wed Mar 03 12:35:50 2010  memory use: 298.4 MB
Wed Mar 03 12:35:50 2010  reading all ideals from disk
Wed Mar 03 12:35:51 2010  memory use: 482.0 MB
Wed Mar 03 12:35:55 2010  commencing in-memory singleton removal
Wed Mar 03 12:36:02 2010  begin with 14070301 relations and 13837017 unique ideals
Wed Mar 03 12:36:56 2010  reduce to 14040651 relations and 13806601 ideals in 14 passes
Wed Mar 03 12:36:56 2010  max relations containing the same ideal: 183
Wed Mar 03 12:37:15 2010  removing 765612 relations and 716228 ideals in 49384 cliques
Wed Mar 03 12:37:16 2010  commencing in-memory singleton removal
Wed Mar 03 12:37:20 2010  begin with 13275039 relations and 13806601 unique ideals
Wed Mar 03 12:38:01 2010  reduce to 13239518 relations and 13054632 ideals in 11 passes
Wed Mar 03 12:38:26 2010  max relations containing the same ideal: 176
Wed Mar 03 12:38:44 2010  removing 547874 relations and 498490 ideals in 49384 cliques
Wed Mar 03 12:38:45 2010  commencing in-memory singleton removal
Wed Mar 03 12:38:48 2010  begin with 12691644 relations and 13054632 unique ideals
Wed Mar 03 12:39:15 2010  reduce to 12672403 relations and 12536833 ideals in 8 passes
Wed Mar 03 12:39:15 2010  max relations containing the same ideal: 168
Wed Mar 03 12:39:34 2010  relations with 0 large ideals: 3007
Wed Mar 03 12:39:34 2010  relations with 1 large ideals: 209
Wed Mar 03 12:39:34 2010  relations with 2 large ideals: 5817
Wed Mar 03 12:39:34 2010  relations with 3 large ideals: 62796
Wed Mar 03 12:39:34 2010  relations with 4 large ideals: 374081
Wed Mar 03 12:39:34 2010  relations with 5 large ideals: 1303963
Wed Mar 03 12:39:34 2010  relations with 6 large ideals: 2918903
Wed Mar 03 12:39:34 2010  relations with 7+ large ideals: 8003627
Wed Mar 03 12:39:34 2010  commencing 2-way merge
Wed Mar 03 12:39:56 2010  reduce to 7270953 relation sets and 7135385 unique ideals
Wed Mar 03 12:39:56 2010  ignored 2 oversize relation sets
Wed Mar 03 12:39:56 2010  commencing full merge
Wed Mar 03 12:44:14 2010  memory use: 754.6 MB
Wed Mar 03 12:44:16 2010  found 3793737 cycles, need 3781585
Wed Mar 03 12:44:16 2010  weight of 3781585 cycles is about 264721485 (70.00/cycle)
Wed Mar 03 12:44:16 2010  distribution of cycle lengths:
Wed Mar 03 12:44:16 2010  1 relations: 583375
Wed Mar 03 12:44:16 2010  2 relations: 516721
Wed Mar 03 12:44:16 2010  3 relations: 479760
Wed Mar 03 12:44:16 2010  4 relations: 412490
Wed Mar 03 12:44:16 2010  5 relations: 339768
Wed Mar 03 12:44:16 2010  6 relations: 284109
Wed Mar 03 12:44:16 2010  7 relations: 230622
Wed Mar 03 12:44:16 2010  8 relations: 184055
Wed Mar 03 12:44:16 2010  9 relations: 147742
Wed Mar 03 12:44:16 2010  10+ relations: 602943
Wed Mar 03 12:44:16 2010  heaviest cycle: 28 relations
Wed Mar 03 12:44:19 2010  commencing cycle optimization
Wed Mar 03 12:44:30 2010  start with 20735082 relations
Thu Mar 04 23:06:07 2010  
Thu Mar 04 23:06:07 2010  
Thu Mar 04 23:06:07 2010  Msieve v. 1.42
Thu Mar 04 23:06:07 2010  random seeds: 0a50b468 040a8eb8
Thu Mar 04 23:06:07 2010  factoring 78888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883 (200 digits)
Thu Mar 04 23:06:09 2010  searching for 15-digit factors
Thu Mar 04 23:06:11 2010  commencing number field sieve (200-digit input)
Thu Mar 04 23:06:11 2010  R0: -1000000000000000000000000000000000000000
Thu Mar 04 23:06:11 2010  R1:  1
Thu Mar 04 23:06:11 2010  A0: -53
Thu Mar 04 23:06:11 2010  A1:  0
Thu Mar 04 23:06:11 2010  A2:  0
Thu Mar 04 23:06:11 2010  A3:  0
Thu Mar 04 23:06:11 2010  A4:  0
Thu Mar 04 23:06:11 2010  A5:  710000
Thu Mar 04 23:06:11 2010  skew 0.15, size 2.028408e-014, alpha 0.050895, combined = 8.090708e-012
Thu Mar 04 23:06:11 2010  
Thu Mar 04 23:06:11 2010  commencing relation filtering
Thu Mar 04 23:06:11 2010  estimated available RAM is 4096.0 MB
Thu Mar 04 23:06:11 2010  commencing duplicate removal, pass 1
Thu Mar 04 23:06:20 2010  error -15 reading relation 786787
Thu Mar 04 23:06:22 2010  error -15 reading relation 860620
Thu Mar 04 23:06:22 2010  error -15 reading relation 860993
Thu Mar 04 23:06:22 2010  error -9 reading relation 861027
Thu Mar 04 23:06:22 2010  error -9 reading relation 873927
Thu Mar 04 23:06:22 2010  error -11 reading relation 879003
Thu Mar 04 23:06:22 2010  error -9 reading relation 879036
Thu Mar 04 23:06:22 2010  error -11 reading relation 879071
Thu Mar 04 23:06:22 2010  error -9 reading relation 890171
Thu Mar 04 23:06:22 2010  error -11 reading relation 890205
Thu Mar 04 23:06:22 2010  error -5 reading relation 890240
Thu Mar 04 23:06:23 2010  error -1 reading relation 893649
Thu Mar 04 23:06:23 2010  error -9 reading relation 926045
Thu Mar 04 23:06:23 2010  error -9 reading relation 926080
Thu Mar 04 23:06:23 2010  error -9 reading relation 951447
Thu Mar 04 23:06:23 2010  error -1 reading relation 951481
Thu Mar 04 23:06:23 2010  error -11 reading relation 966734
Thu Mar 04 23:06:23 2010  error -11 reading relation 975863
Thu Mar 04 23:06:24 2010  error -9 reading relation 1037847
Thu Mar 04 23:06:24 2010  error -11 reading relation 1037881
Thu Mar 04 23:06:24 2010  error -15 reading relation 1037914
Thu Mar 04 23:06:24 2010  error -5 reading relation 1062559
Thu Mar 04 23:06:24 2010  error -11 reading relation 1062593
Thu Mar 04 23:06:24 2010  error -11 reading relation 1077935
Thu Mar 04 23:06:24 2010  error -1 reading relation 1077969
Thu Mar 04 23:06:24 2010  error -15 reading relation 1086994
Thu Mar 04 23:06:24 2010  error -15 reading relation 1087028
Thu Mar 04 23:06:25 2010  error -11 reading relation 1150331
Thu Mar 04 23:06:25 2010  error -9 reading relation 1174665
Thu Mar 04 23:06:25 2010  error -9 reading relation 1189533
Thu Mar 04 23:06:25 2010  error -15 reading relation 1198559
Thu Mar 04 23:06:26 2010  error -9 reading relation 1267523
Thu Mar 04 23:06:26 2010  error -11 reading relation 1291885
Thu Mar 04 23:06:27 2010  error -9 reading relation 1306889
Thu Mar 04 23:06:27 2010  error -15 reading relation 1306923
Thu Mar 04 23:06:27 2010  error -11 reading relation 1306956
Thu Mar 04 23:06:27 2010  error -11 reading relation 1315858
Thu Mar 04 23:06:27 2010  error -11 reading relation 1315891
Thu Mar 04 23:06:28 2010  error -15 reading relation 1379138
Thu Mar 04 23:06:28 2010  error -9 reading relation 1379173
Thu Mar 04 23:06:28 2010  error -15 reading relation 1403998
Thu Mar 04 23:06:28 2010  error -11 reading relation 1418793
Thu Mar 04 23:06:28 2010  error -11 reading relation 1427829
Thu Mar 04 23:06:29 2010  error -15 reading relation 1488143
Thu Mar 04 23:06:29 2010  error -11 reading relation 1512127
Thu Mar 04 23:06:29 2010  error -5 reading relation 1526914
Thu Mar 04 23:06:29 2010  error -11 reading relation 1535927
Thu Mar 04 23:06:38 2010  error -6 reading relation 2241927
Thu Mar 04 23:06:52 2010  error -11 reading relation 3678124
Thu Mar 04 23:07:08 2010  error -11 reading relation 5386624
Thu Mar 04 23:07:16 2010  error -6 reading relation 6247950
Thu Mar 04 23:08:24 2010  error -11 reading relation 13301132
Thu Mar 04 23:08:56 2010  error -6 reading relation 16667108
Thu Mar 04 23:09:10 2010  error -6 reading relation 17970236
Thu Mar 04 23:09:15 2010  error -11 reading relation 18517704
Thu Mar 04 23:09:30 2010  error -11 reading relation 20041062
Thu Mar 04 23:09:36 2010  error -6 reading relation 20637769
Thu Mar 04 23:09:37 2010  error -6 reading relation 20715077
Thu Mar 04 23:09:43 2010  error -6 reading relation 21352807
Thu Mar 04 23:09:49 2010  error -6 reading relation 21920170
Thu Mar 04 23:09:50 2010  error -11 reading relation 22021845
Thu Mar 04 23:10:50 2010  error -6 reading relation 27087288
Thu Mar 04 23:11:11 2010  error -6 reading relation 29067316
Thu Mar 04 23:11:11 2010  error -11 reading relation 29085127
Thu Mar 04 23:11:11 2010  error -11 reading relation 29085128
Thu Mar 04 23:12:03 2010  error -11 reading relation 34084703
Thu Mar 04 23:12:03 2010  error -6 reading relation 34096986
Thu Mar 04 23:12:08 2010  error -6 reading relation 34678473
Thu Mar 04 23:12:08 2010  error -11 reading relation 34678474
Thu Mar 04 23:12:37 2010  error -11 reading relation 37557476
Thu Mar 04 23:12:38 2010  error -6 reading relation 37707473
Thu Mar 04 23:12:40 2010  error -11 reading relation 37803031
Thu Mar 04 23:12:42 2010  error -11 reading relation 37966702
Thu Mar 04 23:12:42 2010  error -6 reading relation 37970028
Thu Mar 04 23:13:05 2010  found 5230747 hash collisions in 40308174 relations
Thu Mar 04 23:13:57 2010  commencing duplicate removal, pass 2
Thu Mar 04 23:15:12 2010  found 4553187 duplicates and 35754987 unique relations
Thu Mar 04 23:15:12 2010  memory use: 197.2 MB
Thu Mar 04 23:15:12 2010  reading ideals above 23920640
Thu Mar 04 23:15:12 2010  commencing singleton removal, initial pass
Thu Mar 04 23:21:12 2010  memory use: 596.8 MB
Thu Mar 04 23:21:12 2010  reading all ideals from disk
Thu Mar 04 23:21:12 2010  memory use: 629.5 MB
Thu Mar 04 23:21:16 2010  commencing in-memory singleton removal
Thu Mar 04 23:21:20 2010  begin with 35754987 relations and 36034498 unique ideals
Thu Mar 04 23:21:55 2010  reduce to 14070146 relations and 10947730 ideals in 19 passes
Thu Mar 04 23:21:55 2010  max relations containing the same ideal: 33
Thu Mar 04 23:21:59 2010  reading ideals above 720000
Thu Mar 04 23:21:59 2010  commencing singleton removal, initial pass
Thu Mar 04 23:24:58 2010  memory use: 298.4 MB
Thu Mar 04 23:24:58 2010  reading all ideals from disk
Thu Mar 04 23:24:59 2010  memory use: 482.0 MB
Thu Mar 04 23:25:02 2010  commencing in-memory singleton removal
Thu Mar 04 23:25:05 2010  begin with 14070301 relations and 13837017 unique ideals
Thu Mar 04 23:25:49 2010  reduce to 14040651 relations and 13806601 ideals in 14 passes
Thu Mar 04 23:25:49 2010  max relations containing the same ideal: 183
Thu Mar 04 23:26:03 2010  removing 765612 relations and 716228 ideals in 49384 cliques
Thu Mar 04 23:26:03 2010  commencing in-memory singleton removal
Thu Mar 04 23:26:06 2010  begin with 13275039 relations and 13806601 unique ideals
Thu Mar 04 23:26:39 2010  reduce to 13239518 relations and 13054632 ideals in 11 passes
Thu Mar 04 23:26:39 2010  max relations containing the same ideal: 176
Thu Mar 04 23:26:52 2010  removing 547874 relations and 498490 ideals in 49384 cliques
Thu Mar 04 23:26:53 2010  commencing in-memory singleton removal
Thu Mar 04 23:26:55 2010  begin with 12691644 relations and 13054632 unique ideals
Thu Mar 04 23:27:18 2010  reduce to 12672403 relations and 12536833 ideals in 8 passes
Thu Mar 04 23:27:18 2010  max relations containing the same ideal: 168
Thu Mar 04 23:27:34 2010  relations with 0 large ideals: 3007
Thu Mar 04 23:27:34 2010  relations with 1 large ideals: 209
Thu Mar 04 23:27:34 2010  relations with 2 large ideals: 5817
Thu Mar 04 23:27:34 2010  relations with 3 large ideals: 62796
Thu Mar 04 23:27:34 2010  relations with 4 large ideals: 374081
Thu Mar 04 23:27:34 2010  relations with 5 large ideals: 1303963
Thu Mar 04 23:27:34 2010  relations with 6 large ideals: 2918903
Thu Mar 04 23:27:34 2010  relations with 7+ large ideals: 8003627
Thu Mar 04 23:27:34 2010  commencing 2-way merge
Thu Mar 04 23:27:53 2010  reduce to 7270953 relation sets and 7135385 unique ideals
Thu Mar 04 23:27:53 2010  ignored 2 oversize relation sets
Thu Mar 04 23:27:53 2010  commencing full merge
Thu Mar 04 23:31:18 2010  memory use: 754.6 MB
Thu Mar 04 23:31:19 2010  found 3793737 cycles, need 3781585
Thu Mar 04 23:31:20 2010  weight of 3781585 cycles is about 264721485 (70.00/cycle)
Thu Mar 04 23:31:20 2010  distribution of cycle lengths:
Thu Mar 04 23:31:20 2010  1 relations: 583375
Thu Mar 04 23:31:20 2010  2 relations: 516721
Thu Mar 04 23:31:20 2010  3 relations: 479760
Thu Mar 04 23:31:20 2010  4 relations: 412490
Thu Mar 04 23:31:20 2010  5 relations: 339768
Thu Mar 04 23:31:20 2010  6 relations: 284109
Thu Mar 04 23:31:20 2010  7 relations: 230622
Thu Mar 04 23:31:20 2010  8 relations: 184055
Thu Mar 04 23:31:20 2010  9 relations: 147742
Thu Mar 04 23:31:20 2010  10+ relations: 602943
Thu Mar 04 23:31:20 2010  heaviest cycle: 28 relations
Thu Mar 04 23:31:22 2010  commencing cycle optimization
Thu Mar 04 23:31:31 2010  start with 20735082 relations
Thu Mar 04 23:32:18 2010  pruned 364432 relations
Thu Mar 04 23:32:18 2010  memory use: 573.1 MB
Thu Mar 04 23:32:18 2010  distribution of cycle lengths:
Thu Mar 04 23:32:18 2010  1 relations: 583375
Thu Mar 04 23:32:18 2010  2 relations: 526592
Thu Mar 04 23:32:18 2010  3 relations: 493222
Thu Mar 04 23:32:18 2010  4 relations: 418178
Thu Mar 04 23:32:18 2010  5 relations: 343958
Thu Mar 04 23:32:18 2010  6 relations: 283730
Thu Mar 04 23:32:18 2010  7 relations: 229345
Thu Mar 04 23:32:18 2010  8 relations: 181249
Thu Mar 04 23:32:18 2010  9 relations: 144819
Thu Mar 04 23:32:18 2010  10+ relations: 577117
Thu Mar 04 23:32:18 2010  heaviest cycle: 27 relations
Thu Mar 04 23:32:38 2010  RelProcTime: 1587
Thu Mar 04 23:32:38 2010  
Thu Mar 04 23:32:38 2010  commencing linear algebra
Thu Mar 04 23:32:43 2010  read 3781585 cycles
Thu Mar 04 23:32:53 2010  cycles contain 12485269 unique relations
Thu Mar 04 23:43:57 2010  read 12485269 relations
Thu Mar 04 23:44:20 2010  using 20 quadratic characters above 536870564
Thu Mar 04 23:45:27 2010  building initial matrix
Thu Mar 04 23:48:04 2010  memory use: 1361.2 MB
Thu Mar 04 23:48:17 2010  read 3781585 cycles
Thu Mar 04 23:55:15 2010  matrix is 3781405 x 3781585 (1083.3 MB) with weight 330895970 (87.50/col)
Thu Mar 04 23:55:15 2010  sparse part has weight 257501090 (68.09/col)
Thu Mar 04 23:56:17 2010  filtering completed in 2 passes
Thu Mar 04 23:56:18 2010  matrix is 3777501 x 3777680 (1083.0 MB) with weight 330783158 (87.56/col)
Thu Mar 04 23:56:18 2010  sparse part has weight 257467458 (68.15/col)
Thu Mar 04 23:57:00 2010  read 3777680 cycles
Fri Mar 05 00:20:47 2010  matrix is 3777501 x 3777680 (1083.0 MB) with weight 330783158 (87.56/col)
Fri Mar 05 00:20:47 2010  sparse part has weight 257467458 (68.15/col)
Fri Mar 05 00:20:48 2010  saving the first 48 matrix rows for later
Fri Mar 05 00:20:50 2010  matrix is 3777453 x 3777680 (1026.6 MB) with weight 265913827 (70.39/col)
Fri Mar 05 00:20:50 2010  sparse part has weight 246438265 (65.24/col)
Fri Mar 05 00:20:50 2010  matrix includes 64 packed rows
Fri Mar 05 00:20:50 2010  using block size 65536 for processor cache size 6144 kB
Fri Mar 05 00:21:19 2010  commencing Lanczos iteration (6 threads)
Fri Mar 05 00:21:19 2010  memory use: 1226.3 MB
Fri Mar 05 22:50:45 2010  lanczos halted after 59737 iterations (dim = 3777453)
Fri Mar 05 22:50:52 2010  recovered 40 nontrivial dependencies
Fri Mar 05 22:50:59 2010  BLanczosTime: 83901
Fri Mar 05 22:50:59 2010  
Fri Mar 05 22:50:59 2010  commencing square root phase
Fri Mar 05 22:50:59 2010  reading relations for dependency 1
Fri Mar 05 22:51:01 2010  read 1889951 cycles
Fri Mar 05 22:51:06 2010  cycles contain 7518590 unique relations
Fri Mar 05 23:02:46 2010  read 7518590 relations
Fri Mar 05 23:03:39 2010  multiplying 6243682 relations
Fri Mar 05 23:18:02 2010  multiply complete, coefficients have about 262.20 million bits
Fri Mar 05 23:18:04 2010  initial square root is modulo 2568013171
Fri Mar 05 23:46:29 2010  reading relations for dependency 2
Fri Mar 05 23:46:31 2010  read 1888064 cycles
Fri Mar 05 23:46:36 2010  cycles contain 7516167 unique relations
Fri Mar 05 23:55:51 2010  read 7516167 relations
Fri Mar 05 23:56:44 2010  multiplying 6239930 relations
Sat Mar 06 00:11:00 2010  multiply complete, coefficients have about 262.05 million bits
Sat Mar 06 00:11:03 2010  initial square root is modulo 2535424321
Sat Mar 06 00:39:21 2010  reading relations for dependency 3
Sat Mar 06 00:39:23 2010  read 1889930 cycles
Sat Mar 06 00:39:28 2010  cycles contain 7517920 unique relations
Sat Mar 06 00:48:46 2010  read 7517920 relations
Sat Mar 06 00:49:38 2010  multiplying 6242096 relations
Sat Mar 06 01:03:59 2010  multiply complete, coefficients have about 262.13 million bits
Sat Mar 06 01:04:02 2010  initial square root is modulo 2553353381
Sat Mar 06 01:32:21 2010  sqrtTime: 9682
Sat Mar 06 01:32:21 2010  prp55 factor: 2620445357593988067594558202381042288073230253246743639
Sat Mar 06 01:32:21 2010  prp73 factor: 2343055626697146054647226411149363946050639708685760334060778149030139553
Sat Mar 06 01:32:21 2010  prp74 factor: 12848668723094517746566409994005639649373248399136363818887697827426651749
Sat Mar 06 01:32:21 2010  elapsed time 26:26:14
Sun Sep 12 19:31:06 2010  
Sun Sep 12 19:31:06 2010  
Sun Sep 12 19:31:06 2010  Msieve v. 1.42
Sun Sep 12 19:31:06 2010  random seeds: d32f4970 a207c760
Sun Sep 12 19:31:06 2010  factoring 41654138654555107783410242225892725352513914900698141057625565729491738269730463720062303178704201482080911531 (110 digits)
Sun Sep 12 19:31:07 2010  searching for 15-digit factors
Sun Sep 12 19:31:07 2010  commencing number field sieve (110-digit input)
Sun Sep 12 19:31:07 2010  R0: -920070418469508626151
Sun Sep 12 19:31:07 2010  R1:  766716941143
Sun Sep 12 19:31:07 2010  A0: -67917571003731797089878400
Sun Sep 12 19:31:07 2010  A1:  19585248428588162364740
Sun Sep 12 19:31:07 2010  A2:  2444649763343629912
Sun Sep 12 19:31:07 2010  A3: -172855354990301
Sun Sep 12 19:31:07 2010  A4: -4678669518
Sun Sep 12 19:31:07 2010  A5:  63180
Sun Sep 12 19:31:07 2010  skew 21618.54, size 1.831627e-010, alpha -6.596169, combined = 1.051968e-009
Sun Sep 12 19:31:08 2010  
Sun Sep 12 19:31:08 2010  commencing relation filtering
Sun Sep 12 19:31:08 2010  estimated available RAM is 4096.0 MB
Sun Sep 12 19:31:09 2010  commencing duplicate removal, pass 1
Sun Sep 12 19:32:08 2010  found 526650 hash collisions in 6811949 relations
Sun Sep 12 19:32:26 2010  added 57299 free relations
Sun Sep 12 19:32:26 2010  commencing duplicate removal, pass 2
Sun Sep 12 19:32:39 2010  found 250487 duplicates and 6618761 unique relations
Sun Sep 12 19:32:39 2010  memory use: 24.6 MB
Sun Sep 12 19:32:39 2010  reading ideals above 100000
Sun Sep 12 19:32:39 2010  commencing singleton removal, initial pass
Sun Sep 12 19:33:58 2010  memory use: 149.2 MB
Sun Sep 12 19:33:59 2010  reading all ideals from disk
Sun Sep 12 19:33:59 2010  memory use: 222.8 MB
Sun Sep 12 19:34:00 2010  keeping 7606766 ideals with weight <= 200, target excess is 40374
Sun Sep 12 19:34:01 2010  commencing in-memory singleton removal
Sun Sep 12 19:34:03 2010  begin with 6618761 relations and 7606766 unique ideals
Sun Sep 12 19:34:11 2010  reduce to 1776392 relations and 1759800 ideals in 19 passes
Sun Sep 12 19:34:11 2010  max relations containing the same ideal: 80
Sun Sep 12 19:34:11 2010  filtering wants 1000000 more relations
Sun Sep 12 19:34:11 2010  elapsed time 00:03:05
Sun Sep 12 22:15:36 2010  
Sun Sep 12 22:15:36 2010  
Sun Sep 12 22:15:36 2010  Msieve v. 1.42
Sun Sep 12 22:15:36 2010  random seeds: afb9f2a0 03e79460
Sun Sep 12 22:15:36 2010  factoring 41654138654555107783410242225892725352513914900698141057625565729491738269730463720062303178704201482080911531 (110 digits)
Sun Sep 12 22:15:37 2010  searching for 15-digit factors
Sun Sep 12 22:15:37 2010  commencing number field sieve (110-digit input)
Sun Sep 12 22:15:37 2010  R0: -920070418469508626151
Sun Sep 12 22:15:37 2010  R1:  766716941143
Sun Sep 12 22:15:37 2010  A0: -67917571003731797089878400
Sun Sep 12 22:15:37 2010  A1:  19585248428588162364740
Sun Sep 12 22:15:37 2010  A2:  2444649763343629912
Sun Sep 12 22:15:37 2010  A3: -172855354990301
Sun Sep 12 22:15:37 2010  A4: -4678669518
Sun Sep 12 22:15:37 2010  A5:  63180
Sun Sep 12 22:15:37 2010  skew 21618.54, size 1.831627e-010, alpha -6.596169, combined = 1.051968e-009
Sun Sep 12 22:15:38 2010  
Sun Sep 12 22:15:38 2010  commencing relation filtering
Sun Sep 12 22:15:38 2010  estimated available RAM is 4096.0 MB
Sun Sep 12 22:15:38 2010  commencing duplicate removal, pass 1
Sun Sep 12 22:16:47 2010  found 701069 hash collisions in 7988726 relations
Sun Sep 12 22:17:06 2010  added 1449 free relations
Sun Sep 12 22:17:06 2010  commencing duplicate removal, pass 2
Sun Sep 12 22:17:21 2010  found 332679 duplicates and 7657495 unique relations
Sun Sep 12 22:17:21 2010  memory use: 24.6 MB
Sun Sep 12 22:17:21 2010  reading ideals above 100000
Sun Sep 12 22:17:21 2010  commencing singleton removal, initial pass
Sun Sep 12 22:18:53 2010  memory use: 149.2 MB
Sun Sep 12 22:18:53 2010  reading all ideals from disk
Sun Sep 12 22:18:53 2010  memory use: 257.9 MB
Sun Sep 12 22:18:54 2010  keeping 8151604 ideals with weight <= 200, target excess is 48238
Sun Sep 12 22:18:56 2010  commencing in-memory singleton removal
Sun Sep 12 22:18:57 2010  begin with 7657495 relations and 8151604 unique ideals
Sun Sep 12 22:19:07 2010  reduce to 2879531 relations and 2520136 ideals in 14 passes
Sun Sep 12 22:19:07 2010  max relations containing the same ideal: 100
Sun Sep 12 22:19:09 2010  removing 760273 relations and 608554 ideals in 151719 cliques
Sun Sep 12 22:19:10 2010  commencing in-memory singleton removal
Sun Sep 12 22:19:10 2010  begin with 2119258 relations and 2520136 unique ideals
Sun Sep 12 22:19:14 2010  reduce to 2001406 relations and 1786719 ideals in 11 passes
Sun Sep 12 22:19:14 2010  max relations containing the same ideal: 78
Sun Sep 12 22:19:15 2010  removing 577276 relations and 425557 ideals in 151719 cliques
Sun Sep 12 22:19:15 2010  commencing in-memory singleton removal
Sun Sep 12 22:19:16 2010  begin with 1424130 relations and 1786719 unique ideals
Sun Sep 12 22:19:18 2010  reduce to 1309644 relations and 1238226 ideals in 11 passes
Sun Sep 12 22:19:18 2010  max relations containing the same ideal: 58
Sun Sep 12 22:19:19 2010  removing 100596 relations and 85135 ideals in 15461 cliques
Sun Sep 12 22:19:19 2010  commencing in-memory singleton removal
Sun Sep 12 22:19:19 2010  begin with 1209048 relations and 1238226 unique ideals
Sun Sep 12 22:19:20 2010  reduce to 1203866 relations and 1147849 ideals in 7 passes
Sun Sep 12 22:19:20 2010  max relations containing the same ideal: 57
Sun Sep 12 22:19:20 2010  relations with 0 large ideals: 202
Sun Sep 12 22:19:20 2010  relations with 1 large ideals: 1927
Sun Sep 12 22:19:20 2010  relations with 2 large ideals: 15300
Sun Sep 12 22:19:20 2010  relations with 3 large ideals: 70486
Sun Sep 12 22:19:20 2010  relations with 4 large ideals: 190701
Sun Sep 12 22:19:20 2010  relations with 5 large ideals: 316688
Sun Sep 12 22:19:20 2010  relations with 6 large ideals: 323330
Sun Sep 12 22:19:20 2010  relations with 7+ large ideals: 285232
Sun Sep 12 22:19:20 2010  commencing 2-way merge
Sun Sep 12 22:19:21 2010  reduce to 733762 relation sets and 677745 unique ideals
Sun Sep 12 22:19:21 2010  commencing full merge
Sun Sep 12 22:19:39 2010  memory use: 66.9 MB
Sun Sep 12 22:19:39 2010  found 363182 cycles, need 355945
Sun Sep 12 22:19:39 2010  weight of 355945 cycles is about 24961136 (70.13/cycle)
Sun Sep 12 22:19:39 2010  distribution of cycle lengths:
Sun Sep 12 22:19:39 2010  1 relations: 34500
Sun Sep 12 22:19:39 2010  2 relations: 35786
Sun Sep 12 22:19:39 2010  3 relations: 38670
Sun Sep 12 22:19:39 2010  4 relations: 37563
Sun Sep 12 22:19:39 2010  5 relations: 35279
Sun Sep 12 22:19:39 2010  6 relations: 31797
Sun Sep 12 22:19:39 2010  7 relations: 27744
Sun Sep 12 22:19:39 2010  8 relations: 23900
Sun Sep 12 22:19:39 2010  9 relations: 20052
Sun Sep 12 22:19:39 2010  10+ relations: 70654
Sun Sep 12 22:19:39 2010  heaviest cycle: 20 relations
Sun Sep 12 22:19:39 2010  commencing cycle optimization
Sun Sep 12 22:19:40 2010  start with 2187763 relations
Sun Sep 12 22:19:45 2010  pruned 56569 relations
Sun Sep 12 22:19:45 2010  memory use: 56.6 MB
Sun Sep 12 22:19:45 2010  distribution of cycle lengths:
Sun Sep 12 22:19:45 2010  1 relations: 34500
Sun Sep 12 22:19:45 2010  2 relations: 36582
Sun Sep 12 22:19:45 2010  3 relations: 39995
Sun Sep 12 22:19:45 2010  4 relations: 38463
Sun Sep 12 22:19:45 2010  5 relations: 36281
Sun Sep 12 22:19:45 2010  6 relations: 32690
Sun Sep 12 22:19:45 2010  7 relations: 28142
Sun Sep 12 22:19:45 2010  8 relations: 24040
Sun Sep 12 22:19:45 2010  9 relations: 19977
Sun Sep 12 22:19:45 2010  10+ relations: 65275
Sun Sep 12 22:19:45 2010  heaviest cycle: 20 relations
Sun Sep 12 22:19:47 2010  RelProcTime: 249
Sun Sep 12 22:19:47 2010  
Sun Sep 12 22:19:47 2010  commencing linear algebra
Sun Sep 12 22:19:47 2010  read 355945 cycles
Sun Sep 12 22:19:48 2010  cycles contain 1165244 unique relations
Sun Sep 12 22:20:21 2010  read 1165244 relations
Sun Sep 12 22:20:23 2010  using 20 quadratic characters above 134208588
Sun Sep 12 22:20:29 2010  building initial matrix
Sun Sep 12 22:20:44 2010  memory use: 131.4 MB
Sun Sep 12 22:20:45 2010  read 355945 cycles
Sun Sep 12 22:20:56 2010  matrix is 355766 x 355945 (101.7 MB) with weight 33603566 (94.41/col)
Sun Sep 12 22:20:56 2010  sparse part has weight 23825201 (66.94/col)
Sun Sep 12 22:21:00 2010  filtering completed in 2 passes
Sun Sep 12 22:21:00 2010  matrix is 355401 x 355580 (101.7 MB) with weight 33586544 (94.46/col)
Sun Sep 12 22:21:00 2010  sparse part has weight 23818646 (66.99/col)
Sun Sep 12 22:21:01 2010  read 355580 cycles
Sun Sep 12 22:21:40 2010  matrix is 355401 x 355580 (101.7 MB) with weight 33586544 (94.46/col)
Sun Sep 12 22:21:40 2010  sparse part has weight 23818646 (66.99/col)
Sun Sep 12 22:21:40 2010  saving the first 48 matrix rows for later
Sun Sep 12 22:21:40 2010  matrix is 355353 x 355580 (97.0 MB) with weight 26859252 (75.54/col)
Sun Sep 12 22:21:40 2010  sparse part has weight 23290694 (65.50/col)
Sun Sep 12 22:21:40 2010  matrix includes 64 packed rows
Sun Sep 12 22:21:40 2010  using block size 65536 for processor cache size 6144 kB
Sun Sep 12 22:21:43 2010  commencing Lanczos iteration (6 threads)
Sun Sep 12 22:21:43 2010  memory use: 111.0 MB
Sun Sep 12 22:32:30 2010  lanczos halted after 5621 iterations (dim = 355353)
Sun Sep 12 22:32:31 2010  recovered 30 nontrivial dependencies
Sun Sep 12 22:32:31 2010  BLanczosTime: 764
Sun Sep 12 22:32:31 2010  
Sun Sep 12 22:32:31 2010  commencing square root phase
Sun Sep 12 22:32:31 2010  reading relations for dependency 1
Sun Sep 12 22:32:31 2010  read 177840 cycles
Sun Sep 12 22:32:32 2010  cycles contain 723303 unique relations
Sun Sep 12 22:33:08 2010  read 723303 relations
Sun Sep 12 22:33:12 2010  multiplying 581990 relations
Sun Sep 12 22:34:33 2010  multiply complete, coefficients have about 26.51 million bits
Sun Sep 12 22:34:34 2010  initial square root is modulo 41147341
Sun Sep 12 22:36:33 2010  reading relations for dependency 2
Sun Sep 12 22:36:33 2010  read 177569 cycles
Sun Sep 12 22:36:34 2010  cycles contain 722852 unique relations
Sun Sep 12 22:37:08 2010  read 722852 relations
Sun Sep 12 22:37:12 2010  multiplying 582670 relations
Sun Sep 12 22:38:34 2010  multiply complete, coefficients have about 26.54 million bits
Sun Sep 12 22:38:35 2010  initial square root is modulo 41974903
Sun Sep 12 22:40:34 2010  reading relations for dependency 3
Sun Sep 12 22:40:34 2010  read 177934 cycles
Sun Sep 12 22:40:34 2010  cycles contain 724130 unique relations
Sun Sep 12 22:41:09 2010  read 724130 relations
Sun Sep 12 22:41:12 2010  multiplying 583026 relations
Sun Sep 12 22:42:34 2010  multiply complete, coefficients have about 26.56 million bits
Sun Sep 12 22:42:35 2010  initial square root is modulo 42489091
Sun Sep 12 22:44:59 2010  sqrtTime: 748
Sun Sep 12 22:44:59 2010  prp50 factor: 80081826133928776332202959489848847511414004715383
Sun Sep 12 22:44:59 2010  prp60 factor: 520144715292740234826706462791522887183761380524080219630957
Sun Sep 12 22:44:59 2010  elapsed time 00:29:23
Tue Sep 21 15:04:57 2010  
Tue Sep 21 15:04:57 2010  
Tue Sep 21 15:04:57 2010  Msieve v. 1.42
Tue Sep 21 15:04:57 2010  random seeds: 42ef1804 11c81de0
Tue Sep 21 15:04:57 2010  factoring 17174231414913583744746498818017706813890764037413245062857518871763069441680234472409371937274185253497885265672659892609800948651 (131 digits)
Tue Sep 21 15:04:58 2010  searching for 15-digit factors
Tue Sep 21 15:04:59 2010  commencing number field sieve (131-digit input)
Tue Sep 21 15:04:59 2010  R0: -7187337503887315442951993
Tue Sep 21 15:04:59 2010  R1:  74780209745593
Tue Sep 21 15:04:59 2010  A0: -170626344838837863706737959904
Tue Sep 21 15:04:59 2010  A1:  43924297282532241381024168
Tue Sep 21 15:04:59 2010  A2: -1037785851550026627792
Tue Sep 21 15:04:59 2010  A3: -24286455511434892
Tue Sep 21 15:04:59 2010  A4:  123819701287
Tue Sep 21 15:04:59 2010  A5:  895440
Tue Sep 21 15:04:59 2010  skew 77464.01, size 1.624075e-012, alpha -6.256194, combined = 7.981816e-011
Tue Sep 21 15:04:59 2010  
Tue Sep 21 15:04:59 2010  commencing square root phase
Tue Sep 21 15:04:59 2010  reading relations for dependency 1
Tue Sep 21 15:05:00 2010  read 691695 cycles
Tue Sep 21 15:05:02 2010  cycles contain 2876212 unique relations
Tue Sep 21 15:05:41 2010  read 2876212 relations
Tue Sep 21 15:06:02 2010  multiplying 2364242 relations
Tue Sep 21 15:13:02 2010  multiply complete, coefficients have about 119.68 million bits
Tue Sep 21 15:13:07 2010  initial square root is modulo 389065993
Tue Sep 21 15:25:49 2010  reading relations for dependency 2
Tue Sep 21 15:25:50 2010  read 692069 cycles
Tue Sep 21 15:25:52 2010  cycles contain 2879527 unique relations
Tue Sep 21 15:27:05 2010  read 2879527 relations
Tue Sep 21 15:27:25 2010  multiplying 2366654 relations
Tue Sep 21 15:34:32 2010  multiply complete, coefficients have about 119.80 million bits
Tue Sep 21 15:34:37 2010  initial square root is modulo 397054513
Tue Sep 21 15:47:36 2010  reading relations for dependency 3
Tue Sep 21 15:47:37 2010  read 692358 cycles
Tue Sep 21 15:47:39 2010  cycles contain 2880512 unique relations
Tue Sep 21 15:48:46 2010  read 2880512 relations
Tue Sep 21 15:49:05 2010  multiplying 2369396 relations
Tue Sep 21 15:56:10 2010  multiply complete, coefficients have about 119.93 million bits
Tue Sep 21 15:56:14 2010  initial square root is modulo 405983569
Tue Sep 21 16:09:29 2010  reading relations for dependency 4
Tue Sep 21 16:09:30 2010  read 691189 cycles
Tue Sep 21 16:09:32 2010  cycles contain 2874336 unique relations
Tue Sep 21 16:10:38 2010  read 2874336 relations
Tue Sep 21 16:10:58 2010  multiplying 2364856 relations
Tue Sep 21 16:18:05 2010  multiply complete, coefficients have about 119.71 million bits
Tue Sep 21 16:18:09 2010  initial square root is modulo 391502981
Tue Sep 21 16:31:07 2010  reading relations for dependency 5
Tue Sep 21 16:31:07 2010  read 691982 cycles
Tue Sep 21 16:31:09 2010  cycles contain 2876323 unique relations
Tue Sep 21 16:32:15 2010  read 2876323 relations
Tue Sep 21 16:32:35 2010  multiplying 2366468 relations
Tue Sep 21 16:39:42 2010  multiply complete, coefficients have about 119.79 million bits
Tue Sep 21 16:39:47 2010  initial square root is modulo 396283847
Tue Sep 21 16:52:48 2010  sqrtTime: 6469
Tue Sep 21 16:52:48 2010  prp45 factor: 250362226271331304871211773840806382880301231
Tue Sep 21 16:52:48 2010  prp86 factor: 68597534343303551073356341947200168939111096934461462559012443436143538625078063098821
Tue Sep 21 16:52:48 2010  elapsed time 01:47:51
Sat Oct 02 08:57:59 2010  
Sat Oct 02 08:57:59 2010  
Sat Oct 02 08:57:59 2010  Msieve v. 1.42
Sat Oct 02 08:57:59 2010  random seeds: b1ffac70 d8021330
Sat Oct 02 08:57:59 2010  factoring 212829311967226323099827069937486322374388807525751289697847247405573826196320146479666259912623691018988971985616264815541740052935359007 (138 digits)
Sat Oct 02 08:58:01 2010  searching for 15-digit factors
Sat Oct 02 08:58:03 2010  commencing number field sieve (138-digit input)
Sat Oct 02 08:58:03 2010  R0: -100000000000000000000000000000
Sat Oct 02 08:58:03 2010  R1:  1
Sat Oct 02 08:58:03 2010  A0: -23
Sat Oct 02 08:58:03 2010  A1:  0
Sat Oct 02 08:58:03 2010  A2:  0
Sat Oct 02 08:58:03 2010  A3:  0
Sat Oct 02 08:58:03 2010  A4:  0
Sat Oct 02 08:58:03 2010  A5:  8600
Sat Oct 02 08:58:03 2010  skew 0.31, size 8.378412e-011, alpha 1.080279, combined = 1.134847e-009
Sat Oct 02 08:58:03 2010  
Sat Oct 02 08:58:03 2010  commencing relation filtering
Sat Oct 02 08:58:03 2010  estimated available RAM is 4096.0 MB
Sat Oct 02 08:58:03 2010  commencing duplicate removal, pass 1
Sat Oct 02 08:59:19 2010  found 900147 hash collisions in 5141326 relations
Sat Oct 02 08:59:31 2010  added 16 free relations
Sat Oct 02 08:59:32 2010  commencing duplicate removal, pass 2
Sat Oct 02 08:59:53 2010  found 895035 duplicates and 4246306 unique relations
Sat Oct 02 08:59:53 2010  memory use: 26.6 MB
Sat Oct 02 08:59:53 2010  reading ideals above 100000
Sat Oct 02 08:59:53 2010  commencing singleton removal, initial pass
Sat Oct 02 09:01:23 2010  memory use: 74.6 MB
Sat Oct 02 09:01:24 2010  reading all ideals from disk
Sat Oct 02 09:01:24 2010  memory use: 141.2 MB
Sat Oct 02 09:01:26 2010  keeping 4896935 ideals with weight <= 200, target excess is 22314
Sat Oct 02 09:01:28 2010  commencing in-memory singleton removal
Sat Oct 02 09:01:29 2010  begin with 4246306 relations and 4896935 unique ideals
Sat Oct 02 09:01:40 2010  reduce to 1555910 relations and 1528128 ideals in 16 passes
Sat Oct 02 09:01:40 2010  max relations containing the same ideal: 102
Sat Oct 02 09:01:43 2010  relations with 0 large ideals: 471
Sat Oct 02 09:01:43 2010  relations with 1 large ideals: 127
Sat Oct 02 09:01:43 2010  relations with 2 large ideals: 1675
Sat Oct 02 09:01:43 2010  relations with 3 large ideals: 16052
Sat Oct 02 09:01:43 2010  relations with 4 large ideals: 82657
Sat Oct 02 09:01:43 2010  relations with 5 large ideals: 242569
Sat Oct 02 09:01:43 2010  relations with 6 large ideals: 443925
Sat Oct 02 09:01:43 2010  relations with 7+ large ideals: 768434
Sat Oct 02 09:01:43 2010  commencing 2-way merge
Sat Oct 02 09:01:46 2010  reduce to 915314 relation sets and 887584 unique ideals
Sat Oct 02 09:01:46 2010  ignored 52 oversize relation sets
Sat Oct 02 09:01:46 2010  commencing full merge
Sat Oct 02 09:03:17 2010  memory use: 27.4 MB
Sat Oct 02 09:03:17 2010  found 1668 cycles, need 195014
Sat Oct 02 09:03:17 2010  weight of 1668 cycles is about 128315 (76.93/cycle)
Sat Oct 02 09:03:17 2010  distribution of cycle lengths:
Sat Oct 02 09:03:17 2010  1 relations: 776
Sat Oct 02 09:03:17 2010  2 relations: 103
Sat Oct 02 09:03:17 2010  3 relations: 76
Sat Oct 02 09:03:17 2010  4 relations: 62
Sat Oct 02 09:03:17 2010  5 relations: 76
Sat Oct 02 09:03:17 2010  6 relations: 62
Sat Oct 02 09:03:17 2010  7 relations: 48
Sat Oct 02 09:03:17 2010  8 relations: 40
Sat Oct 02 09:03:17 2010  9 relations: 33
Sat Oct 02 09:03:17 2010  10+ relations: 392
Sat Oct 02 09:03:17 2010  heaviest cycle: 28 relations
Sat Oct 02 09:03:17 2010  commencing cycle optimization
Sat Oct 02 09:03:17 2010  start with 9229 relations
Sat Oct 02 09:03:17 2010  pruned 292 relations
Sat Oct 02 09:03:17 2010  memory use: 0.3 MB
Sat Oct 02 09:03:17 2010  distribution of cycle lengths:
Sat Oct 02 09:03:17 2010  1 relations: 776
Sat Oct 02 09:03:17 2010  2 relations: 105
Sat Oct 02 09:03:17 2010  3 relations: 79
Sat Oct 02 09:03:17 2010  4 relations: 65
Sat Oct 02 09:03:17 2010  5 relations: 78
Sat Oct 02 09:03:17 2010  6 relations: 65
Sat Oct 02 09:03:17 2010  7 relations: 49
Sat Oct 02 09:03:17 2010  8 relations: 39
Sat Oct 02 09:03:17 2010  9 relations: 36
Sat Oct 02 09:03:17 2010  10+ relations: 376
Sat Oct 02 09:03:17 2010  heaviest cycle: 28 relations
Sat Oct 02 09:03:17 2010  RelProcTime: 314
Sat Oct 02 09:03:17 2010  
Sat Oct 02 09:03:17 2010  commencing linear algebra
Sat Oct 02 09:03:17 2010  read 1668 cycles
Sat Oct 02 09:03:17 2010  cycles contain 8296 unique relations
Sat Oct 02 09:03:22 2010  read 8296 relations
Sat Oct 02 09:03:22 2010  using 20 quadratic characters above 66655214
Sat Oct 02 09:03:22 2010  building initial matrix
Sat Oct 02 09:03:23 2010  memory use: 1.8 MB
Sat Oct 02 09:03:23 2010  read 1668 cycles
Sat Oct 02 09:03:23 2010  matrix is 42928 x 1668 (0.4 MB) with weight 126347 (75.75/col)
Sat Oct 02 09:03:23 2010  sparse part has weight 95916 (57.50/col)
Sat Oct 02 09:03:23 2010  matrix is corrupt; skipping linear algebra
Sat Oct 02 09:03:23 2010  
Sat Oct 02 09:03:23 2010  commencing square root phase
Sat Oct 02 09:03:23 2010  reading relations for dependency 1
Sat Oct 02 09:03:23 2010  error: read_cycles can't open dependency file
Sat Oct 02 10:57:59 2010  
Sat Oct 02 10:57:59 2010  
Sat Oct 02 10:57:59 2010  Msieve v. 1.42
Sat Oct 02 10:57:59 2010  random seeds: bf502bf4 bb5424e0
Sat Oct 02 10:57:59 2010  factoring 212829311967226323099827069937486322374388807525751289697847247405573826196320146479666259912623691018988971985616264815541740052935359007 (138 digits)
Sat Oct 02 10:58:00 2010  searching for 15-digit factors
Sat Oct 02 10:58:01 2010  commencing number field sieve (138-digit input)
Sat Oct 02 10:58:01 2010  R0: -100000000000000000000000000000
Sat Oct 02 10:58:01 2010  R1:  1
Sat Oct 02 10:58:01 2010  A0: -23
Sat Oct 02 10:58:01 2010  A1:  0
Sat Oct 02 10:58:01 2010  A2:  0
Sat Oct 02 10:58:01 2010  A3:  0
Sat Oct 02 10:58:01 2010  A4:  0
Sat Oct 02 10:58:01 2010  A5:  8600
Sat Oct 02 10:58:01 2010  skew 0.31, size 8.378412e-011, alpha 1.080279, combined = 1.134847e-009
Sat Oct 02 10:58:01 2010  
Sat Oct 02 10:58:01 2010  commencing relation filtering
Sat Oct 02 10:58:01 2010  estimated available RAM is 4096.0 MB
Sat Oct 02 10:58:01 2010  commencing duplicate removal, pass 1
Sat Oct 02 10:59:01 2010  found 1047858 hash collisions in 5340779 relations
Sat Oct 02 10:59:10 2010  added 27 free relations
Sat Oct 02 10:59:10 2010  commencing duplicate removal, pass 2
Sat Oct 02 10:59:27 2010  found 1094006 duplicates and 4246799 unique relations
Sat Oct 02 10:59:27 2010  memory use: 26.6 MB
Sat Oct 02 10:59:28 2010  reading ideals above 100000
Sat Oct 02 10:59:28 2010  commencing singleton removal, initial pass
Sat Oct 02 11:00:46 2010  memory use: 74.6 MB
Sat Oct 02 11:00:46 2010  reading all ideals from disk
Sat Oct 02 11:00:46 2010  memory use: 141.2 MB
Sat Oct 02 11:00:47 2010  keeping 4897328 ideals with weight <= 200, target excess is 22314
Sat Oct 02 11:00:47 2010  commencing in-memory singleton removal
Sat Oct 02 11:00:49 2010  begin with 4246799 relations and 4897328 unique ideals
Sat Oct 02 11:00:56 2010  reduce to 1556261 relations and 1528413 ideals in 16 passes
Sat Oct 02 11:00:56 2010  max relations containing the same ideal: 102
Sat Oct 02 11:00:59 2010  relations with 0 large ideals: 471
Sat Oct 02 11:00:59 2010  relations with 1 large ideals: 127
Sat Oct 02 11:00:59 2010  relations with 2 large ideals: 1675
Sat Oct 02 11:00:59 2010  relations with 3 large ideals: 16052
Sat Oct 02 11:00:59 2010  relations with 4 large ideals: 82676
Sat Oct 02 11:00:59 2010  relations with 5 large ideals: 242622
Sat Oct 02 11:00:59 2010  relations with 6 large ideals: 444030
Sat Oct 02 11:00:59 2010  relations with 7+ large ideals: 768608
Sat Oct 02 11:00:59 2010  commencing 2-way merge
Sat Oct 02 11:01:02 2010  reduce to 915542 relation sets and 887746 unique ideals
Sat Oct 02 11:01:02 2010  ignored 52 oversize relation sets
Sat Oct 02 11:01:02 2010  commencing full merge
Sat Oct 02 11:02:56 2010  memory use: 27.4 MB
Sat Oct 02 11:02:56 2010  found 1640 cycles, need 195014
Sat Oct 02 11:02:56 2010  weight of 1640 cycles is about 125271 (76.38/cycle)
Sat Oct 02 11:02:56 2010  distribution of cycle lengths:
Sat Oct 02 11:02:56 2010  1 relations: 771
Sat Oct 02 11:02:56 2010  2 relations: 106
Sat Oct 02 11:02:56 2010  3 relations: 60
Sat Oct 02 11:02:56 2010  4 relations: 45
Sat Oct 02 11:02:56 2010  5 relations: 60
Sat Oct 02 11:02:56 2010  6 relations: 57
Sat Oct 02 11:02:56 2010  7 relations: 64
Sat Oct 02 11:02:56 2010  8 relations: 55
Sat Oct 02 11:02:56 2010  9 relations: 57
Sat Oct 02 11:02:56 2010  10+ relations: 365
Sat Oct 02 11:02:56 2010  heaviest cycle: 28 relations
Sat Oct 02 11:02:56 2010  commencing cycle optimization
Sat Oct 02 11:02:56 2010  start with 9090 relations
Sat Oct 02 11:02:56 2010  pruned 263 relations
Sat Oct 02 11:02:56 2010  memory use: 0.3 MB
Sat Oct 02 11:02:56 2010  distribution of cycle lengths:
Sat Oct 02 11:02:56 2010  1 relations: 771
Sat Oct 02 11:02:56 2010  2 relations: 106
Sat Oct 02 11:02:56 2010  3 relations: 63
Sat Oct 02 11:02:56 2010  4 relations: 50
Sat Oct 02 11:02:56 2010  5 relations: 61
Sat Oct 02 11:02:56 2010  6 relations: 58
Sat Oct 02 11:02:56 2010  7 relations: 62
Sat Oct 02 11:02:56 2010  8 relations: 59
Sat Oct 02 11:02:56 2010  9 relations: 58
Sat Oct 02 11:02:56 2010  10+ relations: 352
Sat Oct 02 11:02:56 2010  heaviest cycle: 28 relations
Sat Oct 02 11:02:56 2010  RelProcTime: 295
Sat Oct 02 11:02:56 2010  
Sat Oct 02 11:02:56 2010  commencing linear algebra
Sat Oct 02 11:02:56 2010  read 1640 cycles
Sat Oct 02 11:02:56 2010  cycles contain 8275 unique relations
Sat Oct 02 11:03:01 2010  read 8275 relations
Sat Oct 02 11:03:01 2010  using 20 quadratic characters above 66990332
Sat Oct 02 11:03:01 2010  building initial matrix
Sat Oct 02 11:03:02 2010  memory use: 1.8 MB
Sat Oct 02 11:03:02 2010  read 1640 cycles
Sat Oct 02 11:03:02 2010  matrix is 42697 x 1640 (0.4 MB) with weight 124595 (75.97/col)
Sat Oct 02 11:03:02 2010  sparse part has weight 94753 (57.78/col)
Sat Oct 02 11:03:02 2010  matrix is corrupt; skipping linear algebra
Sat Oct 02 11:03:02 2010  
Sat Oct 02 11:03:02 2010  commencing square root phase
Sat Oct 02 11:03:02 2010  reading relations for dependency 1
Sat Oct 02 11:03:02 2010  error: read_cycles can't open dependency file
Sat Oct 02 11:44:44 2010  
Sat Oct 02 11:44:44 2010  
Sat Oct 02 11:44:44 2010  Msieve v. 1.42
Sat Oct 02 11:44:44 2010  random seeds: 2e4ffa28 a5ddf030
Sat Oct 02 11:44:44 2010  factoring 212829311967226323099827069937486322374388807525751289697847247405573826196320146479666259912623691018988971985616264815541740052935359007 (138 digits)
Sat Oct 02 11:44:51 2010  searching for 15-digit factors
Sat Oct 02 11:44:52 2010  commencing number field sieve (138-digit input)
Sat Oct 02 11:44:52 2010  R0: -100000000000000000000000000000
Sat Oct 02 11:44:52 2010  R1:  1
Sat Oct 02 11:44:52 2010  A0: -23
Sat Oct 02 11:44:52 2010  A1:  0
Sat Oct 02 11:44:52 2010  A2:  0
Sat Oct 02 11:44:52 2010  A3:  0
Sat Oct 02 11:44:52 2010  A4:  0
Sat Oct 02 11:44:52 2010  A5:  8600
Sat Oct 02 11:44:52 2010  skew 0.31, size 8.378412e-011, alpha 1.080279, combined = 1.134847e-009
Sat Oct 02 11:44:52 2010  
Sat Oct 02 11:44:52 2010  commencing relation filtering
Sat Oct 02 11:44:52 2010  estimated available RAM is 4096.0 MB
Sat Oct 02 11:44:52 2010  commencing duplicate removal, pass 1
Sat Oct 02 11:46:01 2010  found 1203240 hash collisions in 5550380 relations
Sat Oct 02 11:46:12 2010  added 33 free relations
Sat Oct 02 11:46:12 2010  commencing duplicate removal, pass 2
Sat Oct 02 11:46:24 2010  found 1303149 duplicates and 4247263 unique relations
Sat Oct 02 11:46:24 2010  memory use: 41.3 MB
Sat Oct 02 11:46:24 2010  reading ideals above 100000
Sat Oct 02 11:46:24 2010  commencing singleton removal, initial pass
Sat Oct 02 11:47:26 2010  memory use: 74.6 MB
Sat Oct 02 11:47:26 2010  reading all ideals from disk
Sat Oct 02 11:47:27 2010  memory use: 141.2 MB
Sat Oct 02 11:47:28 2010  keeping 4897672 ideals with weight <= 200, target excess is 22316
Sat Oct 02 11:47:30 2010  commencing in-memory singleton removal
Sat Oct 02 11:47:31 2010  begin with 4247263 relations and 4897672 unique ideals
Sat Oct 02 11:47:37 2010  reduce to 1556597 relations and 1528682 ideals in 16 passes
Sat Oct 02 11:47:37 2010  max relations containing the same ideal: 102
Sat Oct 02 11:47:41 2010  relations with 0 large ideals: 471
Sat Oct 02 11:47:41 2010  relations with 1 large ideals: 127
Sat Oct 02 11:47:41 2010  relations with 2 large ideals: 1675
Sat Oct 02 11:47:41 2010  relations with 3 large ideals: 16057
Sat Oct 02 11:47:41 2010  relations with 4 large ideals: 82705
Sat Oct 02 11:47:41 2010  relations with 5 large ideals: 242688
Sat Oct 02 11:47:41 2010  relations with 6 large ideals: 444131
Sat Oct 02 11:47:41 2010  relations with 7+ large ideals: 768743
Sat Oct 02 11:47:41 2010  commencing 2-way merge
Sat Oct 02 11:47:42 2010  reduce to 915754 relation sets and 887891 unique ideals
Sat Oct 02 11:47:42 2010  ignored 52 oversize relation sets
Sat Oct 02 11:47:42 2010  commencing full merge
Sat Oct 02 11:48:58 2010  memory use: 27.4 MB
Sat Oct 02 11:48:58 2010  found 1636 cycles, need 195016
Sat Oct 02 11:48:58 2010  weight of 1636 cycles is about 126259 (77.18/cycle)
Sat Oct 02 11:48:58 2010  distribution of cycle lengths:
Sat Oct 02 11:48:58 2010  1 relations: 774
Sat Oct 02 11:48:58 2010  2 relations: 109
Sat Oct 02 11:48:58 2010  3 relations: 57
Sat Oct 02 11:48:58 2010  4 relations: 53
Sat Oct 02 11:48:58 2010  5 relations: 55
Sat Oct 02 11:48:58 2010  6 relations: 60
Sat Oct 02 11:48:58 2010  7 relations: 50
Sat Oct 02 11:48:58 2010  8 relations: 46
Sat Oct 02 11:48:58 2010  9 relations: 53
Sat Oct 02 11:48:58 2010  10+ relations: 379
Sat Oct 02 11:48:58 2010  heaviest cycle: 28 relations
Sat Oct 02 11:48:58 2010  commencing cycle optimization
Sat Oct 02 11:48:58 2010  start with 9069 relations
Sat Oct 02 11:48:58 2010  pruned 297 relations
Sat Oct 02 11:48:58 2010  memory use: 0.3 MB
Sat Oct 02 11:48:58 2010  distribution of cycle lengths:
Sat Oct 02 11:48:58 2010  1 relations: 774
Sat Oct 02 11:48:58 2010  2 relations: 109
Sat Oct 02 11:48:58 2010  3 relations: 60
Sat Oct 02 11:48:58 2010  4 relations: 55
Sat Oct 02 11:48:58 2010  5 relations: 55
Sat Oct 02 11:48:58 2010  6 relations: 61
Sat Oct 02 11:48:58 2010  7 relations: 57
Sat Oct 02 11:48:58 2010  8 relations: 45
Sat Oct 02 11:48:58 2010  9 relations: 56
Sat Oct 02 11:48:58 2010  10+ relations: 364
Sat Oct 02 11:48:58 2010  heaviest cycle: 28 relations
Sat Oct 02 11:48:58 2010  RelProcTime: 246
Sat Oct 02 11:48:58 2010  
Sat Oct 02 11:48:58 2010  commencing linear algebra
Sat Oct 02 11:48:58 2010  read 1636 cycles
Sat Oct 02 11:48:58 2010  cycles contain 8140 unique relations
Sat Oct 02 11:49:10 2010  read 8140 relations
Sat Oct 02 11:49:10 2010  using 20 quadratic characters above 66611432
Sat Oct 02 11:49:11 2010  building initial matrix
Sat Oct 02 11:49:11 2010  memory use: 1.8 MB
Sat Oct 02 11:49:11 2010  read 1636 cycles
Sat Oct 02 11:49:11 2010  matrix is 42297 x 1636 (0.4 MB) with weight 123909 (75.74/col)
Sat Oct 02 11:49:11 2010  sparse part has weight 94337 (57.66/col)
Sat Oct 02 11:49:11 2010  matrix is corrupt; skipping linear algebra
Sat Oct 02 11:49:11 2010  
Sat Oct 02 11:49:11 2010  commencing square root phase
Sat Oct 02 11:49:11 2010  reading relations for dependency 1
Sat Oct 02 11:49:11 2010  error: read_cycles can't open dependency file
Sat Oct 02 16:10:46 2010  
Sat Oct 02 16:10:46 2010  
Sat Oct 02 16:10:46 2010  Msieve v. 1.42
Sat Oct 02 16:10:46 2010  random seeds: 98665224 35e2c3e8
Sat Oct 02 16:10:46 2010  factoring 212829311967226323099827069937486322374388807525751289697847247405573826196320146479666259912623691018988971985616264815541740052935359007 (138 digits)
Sat Oct 02 16:10:48 2010  searching for 15-digit factors
Sat Oct 02 16:10:48 2010  commencing number field sieve (138-digit input)
Sat Oct 02 16:10:48 2010  R0: -100000000000000000000000000000
Sat Oct 02 16:10:48 2010  R1:  1
Sat Oct 02 16:10:48 2010  A0: -23
Sat Oct 02 16:10:48 2010  A1:  0
Sat Oct 02 16:10:48 2010  A2:  0
Sat Oct 02 16:10:48 2010  A3:  0
Sat Oct 02 16:10:48 2010  A4:  0
Sat Oct 02 16:10:48 2010  A5:  8600
Sat Oct 02 16:10:48 2010  skew 0.31, size 8.378412e-011, alpha 1.080279, combined = 1.134847e-009
Sat Oct 02 16:10:48 2010  
Sat Oct 02 16:10:48 2010  commencing relation filtering
Sat Oct 02 16:10:48 2010  estimated available RAM is 4096.0 MB
Sat Oct 02 16:10:48 2010  commencing duplicate removal, pass 1
Sat Oct 02 16:11:41 2010  found 1538064 hash collisions in 6367004 relations
Sat Oct 02 16:11:50 2010  added 2280 free relations
Sat Oct 02 16:11:50 2010  commencing duplicate removal, pass 2
Sat Oct 02 16:12:01 2010  found 1721185 duplicates and 4648098 unique relations
Sat Oct 02 16:12:01 2010  memory use: 41.3 MB
Sat Oct 02 16:12:01 2010  reading ideals above 100000
Sat Oct 02 16:12:02 2010  commencing singleton removal, initial pass
Sat Oct 02 16:12:53 2010  memory use: 74.6 MB
Sat Oct 02 16:12:54 2010  reading all ideals from disk
Sat Oct 02 16:12:54 2010  memory use: 155.2 MB
Sat Oct 02 16:12:54 2010  keeping 5080614 ideals with weight <= 200, target excess is 24740
Sat Oct 02 16:12:55 2010  commencing in-memory singleton removal
Sat Oct 02 16:12:56 2010  begin with 4648098 relations and 5080614 unique ideals
Sat Oct 02 16:13:01 2010  reduce to 2000340 relations and 1815866 ideals in 14 passes
Sat Oct 02 16:13:01 2010  max relations containing the same ideal: 114
Sat Oct 02 16:13:03 2010  removing 408059 relations and 330171 ideals in 77888 cliques
Sat Oct 02 16:13:03 2010  commencing in-memory singleton removal
Sat Oct 02 16:13:03 2010  begin with 1592281 relations and 1815866 unique ideals
Sat Oct 02 16:13:05 2010  reduce to 1543433 relations and 1434728 ideals in 8 passes
Sat Oct 02 16:13:05 2010  max relations containing the same ideal: 94
Sat Oct 02 16:13:06 2010  removing 310132 relations and 232244 ideals in 77888 cliques
Sat Oct 02 16:13:06 2010  commencing in-memory singleton removal
Sat Oct 02 16:13:06 2010  begin with 1233301 relations and 1434728 unique ideals
Sat Oct 02 16:13:07 2010  reduce to 1193626 relations and 1160886 ideals in 7 passes
Sat Oct 02 16:13:07 2010  max relations containing the same ideal: 82
Sat Oct 02 16:13:08 2010  relations with 0 large ideals: 519
Sat Oct 02 16:13:08 2010  relations with 1 large ideals: 163
Sat Oct 02 16:13:08 2010  relations with 2 large ideals: 2197
Sat Oct 02 16:13:08 2010  relations with 3 large ideals: 18185
Sat Oct 02 16:13:08 2010  relations with 4 large ideals: 82421
Sat Oct 02 16:13:08 2010  relations with 5 large ideals: 213237
Sat Oct 02 16:13:08 2010  relations with 6 large ideals: 344998
Sat Oct 02 16:13:08 2010  relations with 7+ large ideals: 531906
Sat Oct 02 16:13:08 2010  commencing 2-way merge
Sat Oct 02 16:13:09 2010  reduce to 772200 relation sets and 739460 unique ideals
Sat Oct 02 16:13:09 2010  commencing full merge
Sat Oct 02 16:13:32 2010  memory use: 85.1 MB
Sat Oct 02 16:13:32 2010  found 386644 cycles, need 379660
Sat Oct 02 16:13:32 2010  weight of 379660 cycles is about 26970810 (71.04/cycle)
Sat Oct 02 16:13:32 2010  distribution of cycle lengths:
Sat Oct 02 16:13:32 2010  1 relations: 29408
Sat Oct 02 16:13:32 2010  2 relations: 38425
Sat Oct 02 16:13:32 2010  3 relations: 41675
Sat Oct 02 16:13:32 2010  4 relations: 40237
Sat Oct 02 16:13:32 2010  5 relations: 38109
Sat Oct 02 16:13:32 2010  6 relations: 33750
Sat Oct 02 16:13:32 2010  7 relations: 29765
Sat Oct 02 16:13:32 2010  8 relations: 25788
Sat Oct 02 16:13:32 2010  9 relations: 21588
Sat Oct 02 16:13:32 2010  10+ relations: 80915
Sat Oct 02 16:13:32 2010  heaviest cycle: 22 relations
Sat Oct 02 16:13:32 2010  commencing cycle optimization
Sat Oct 02 16:13:33 2010  start with 2422615 relations
Sat Oct 02 16:13:40 2010  pruned 75813 relations
Sat Oct 02 16:13:40 2010  memory use: 59.3 MB
Sat Oct 02 16:13:40 2010  distribution of cycle lengths:
Sat Oct 02 16:13:40 2010  1 relations: 29408
Sat Oct 02 16:13:40 2010  2 relations: 39254
Sat Oct 02 16:13:40 2010  3 relations: 43252
Sat Oct 02 16:13:40 2010  4 relations: 41513
Sat Oct 02 16:13:40 2010  5 relations: 39352
Sat Oct 02 16:13:40 2010  6 relations: 34730
Sat Oct 02 16:13:40 2010  7 relations: 30594
Sat Oct 02 16:13:40 2010  8 relations: 26026
Sat Oct 02 16:13:40 2010  9 relations: 21721
Sat Oct 02 16:13:40 2010  10+ relations: 73810
Sat Oct 02 16:13:40 2010  heaviest cycle: 21 relations
Sat Oct 02 16:13:41 2010  RelProcTime: 173
Sat Oct 02 16:13:41 2010  
Sat Oct 02 16:13:41 2010  commencing linear algebra
Sat Oct 02 16:13:41 2010  read 379660 cycles
Sat Oct 02 16:13:42 2010  cycles contain 1154566 unique relations
Sat Oct 02 16:14:21 2010  read 1154566 relations
Sat Oct 02 16:14:23 2010  using 20 quadratic characters above 67102970
Sat Oct 02 16:14:29 2010  building initial matrix
Sat Oct 02 16:14:42 2010  memory use: 124.4 MB
Sat Oct 02 16:14:42 2010  read 379660 cycles
Sat Oct 02 16:14:55 2010  matrix is 379482 x 379660 (108.2 MB) with weight 33702918 (88.77/col)
Sat Oct 02 16:14:55 2010  sparse part has weight 25697613 (67.69/col)
Sat Oct 02 16:14:59 2010  filtering completed in 2 passes
Sat Oct 02 16:14:59 2010  matrix is 379294 x 379472 (108.2 MB) with weight 33695891 (88.80/col)
Sat Oct 02 16:14:59 2010  sparse part has weight 25694631 (67.71/col)
Sat Oct 02 16:15:01 2010  read 379472 cycles
Sat Oct 02 16:15:44 2010  matrix is 379294 x 379472 (108.2 MB) with weight 33695891 (88.80/col)
Sat Oct 02 16:15:44 2010  sparse part has weight 25694631 (67.71/col)
Sat Oct 02 16:15:44 2010  saving the first 48 matrix rows for later
Sat Oct 02 16:15:44 2010  matrix is 379246 x 379472 (101.4 MB) with weight 26675828 (70.30/col)
Sat Oct 02 16:15:44 2010  sparse part has weight 24314923 (64.08/col)
Sat Oct 02 16:15:44 2010  matrix includes 64 packed rows
Sat Oct 02 16:15:44 2010  using block size 65536 for processor cache size 6144 kB
Sat Oct 02 16:15:47 2010  commencing Lanczos iteration
Sat Oct 02 16:15:47 2010  memory use: 103.8 MB
Sat Oct 02 16:37:48 2010  lanczos halted after 5998 iterations (dim = 379244)
Sat Oct 02 16:37:49 2010  recovered 37 nontrivial dependencies
Sat Oct 02 16:37:49 2010  BLanczosTime: 1448
Sat Oct 02 16:37:49 2010  
Sat Oct 02 16:37:49 2010  commencing square root phase
Sat Oct 02 16:37:49 2010  reading relations for dependency 1
Sat Oct 02 16:37:49 2010  read 189423 cycles
Sat Oct 02 16:37:50 2010  cycles contain 725404 unique relations
Sat Oct 02 16:38:20 2010  read 725404 relations
Sat Oct 02 16:38:24 2010  multiplying 577208 relations
Sat Oct 02 16:39:05 2010  multiply complete, coefficients have about 18.87 million bits
Sat Oct 02 16:39:05 2010  initial square root is modulo 263761
Sat Oct 02 16:40:21 2010  reading relations for dependency 2
Sat Oct 02 16:40:21 2010  read 189361 cycles
Sat Oct 02 16:40:22 2010  cycles contain 724683 unique relations
Sat Oct 02 16:40:52 2010  read 724683 relations
Sat Oct 02 16:40:56 2010  multiplying 576280 relations
Sat Oct 02 16:41:36 2010  multiply complete, coefficients have about 18.84 million bits
Sat Oct 02 16:41:36 2010  initial square root is modulo 258871
Sat Oct 02 16:42:55 2010  reading relations for dependency 3
Sat Oct 02 16:42:55 2010  read 189852 cycles
Sat Oct 02 16:42:55 2010  cycles contain 725380 unique relations
Sat Oct 02 16:43:25 2010  read 725380 relations
Sat Oct 02 16:43:28 2010  multiplying 576712 relations
Sat Oct 02 16:44:08 2010  multiply complete, coefficients have about 18.86 million bits
Sat Oct 02 16:44:08 2010  initial square root is modulo 261241
Sat Oct 02 16:45:26 2010  reading relations for dependency 4
Sat Oct 02 16:45:26 2010  read 189732 cycles
Sat Oct 02 16:45:26 2010  cycles contain 725953 unique relations
Sat Oct 02 16:45:56 2010  read 725953 relations
Sat Oct 02 16:45:59 2010  multiplying 577230 relations
Sat Oct 02 16:46:40 2010  multiply complete, coefficients have about 18.88 million bits
Sat Oct 02 16:46:40 2010  initial square root is modulo 264071
Sat Oct 02 16:48:00 2010  reading relations for dependency 5
Sat Oct 02 16:48:00 2010  read 189893 cycles
Sat Oct 02 16:48:01 2010  cycles contain 726169 unique relations
Sat Oct 02 16:48:32 2010  read 726169 relations
Sat Oct 02 16:48:35 2010  multiplying 577062 relations
Sat Oct 02 16:49:17 2010  multiply complete, coefficients have about 18.87 million bits
Sat Oct 02 16:49:17 2010  initial square root is modulo 263401
Sat Oct 02 16:50:34 2010  reading relations for dependency 6
Sat Oct 02 16:50:34 2010  read 189599 cycles
Sat Oct 02 16:50:34 2010  cycles contain 725935 unique relations
Sat Oct 02 16:51:05 2010  read 725935 relations
Sat Oct 02 16:51:09 2010  multiplying 577082 relations
Sat Oct 02 16:51:50 2010  multiply complete, coefficients have about 18.87 million bits
Sat Oct 02 16:51:50 2010  initial square root is modulo 262981
Sat Oct 02 16:53:08 2010  reading relations for dependency 7
Sat Oct 02 16:53:08 2010  read 189567 cycles
Sat Oct 02 16:53:08 2010  cycles contain 726324 unique relations
Sat Oct 02 16:53:54 2010  read 726324 relations
Sat Oct 02 16:53:58 2010  multiplying 578276 relations
Sat Oct 02 16:54:38 2010  multiply complete, coefficients have about 18.91 million bits
Sat Oct 02 16:54:38 2010  initial square root is modulo 269981
Sat Oct 02 16:56:00 2010  sqrtTime: 1091
Sat Oct 02 16:56:00 2010  prp64 factor: 3670291875196257022683823479450443840163486778078247993996551687
Sat Oct 02 16:56:00 2010  prp74 factor: 57987026428476062803230375698154526759944939273075682128348431687664600361
Sat Oct 02 16:56:00 2010  elapsed time 00:45:14

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)

86×10151-239

c151

name 名前Sinkiti Sibata
date 日付October 1, 2010 20:16:00 UTC 2010 年 10 月 2 日 (土) 5 時 16 分 0 秒 (日本時間)
composite number 合成数
1027479091995221027479091995221027479091995221027479091995221027479091995221027479091995221027479091995221027479091995221027479091995221027479091995221<151>
prime factors 素因数
18977561167140372206740732406739575281744007390430936752647<59>
54141787922375401253872793090598151295089155009520210985854212421751682321047169695631266243<92>
factorization results 素因数分解の結果
Number: 95553_151
N=1027479091995221027479091995221027479091995221027479091995221027479091995221027479091995221027479091995221027479091995221027479091995221027479091995221
  ( 151 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=18977561167140372206740732406739575281744007390430936752647 (pp59)
 r2=54141787922375401253872793090598151295089155009520210985854212421751682321047169695631266243 (pp92)
Version: Msieve v. 1.42
Total time: 0.61 hours.
Scaled time: 0.62 units (timescale=1.023).
Factorization parameters were as follows:
name: 95553_151
n: 1027479091995221027479091995221027479091995221027479091995221027479091995221027479091995221027479091995221027479091995221027479091995221027479091995221
m: 1000000000000000000000000000000
deg: 5
c5: 860
c0: -23
skew: 0.48
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 1950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 441334 x 441563
Total sieving time: 0.00 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.43 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,152.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 0.61 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 3057976k/3145344k available (3786k kernel code, 496k absent, 86872k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4787.92 BogoMIPS (lpj=2393962)
Calibrating delay using timer specific routine.. 4787.75 BogoMIPS (lpj=2393875)
Calibrating delay using timer specific routine.. 4787.78 BogoMIPS (lpj=2393890)
Calibrating delay using timer specific routine.. 4787.78 BogoMIPS (lpj=2393890)
Total of 4 processors activated (19151.23 BogoMIPS).

Total time: 9 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)

86×10153-239

c148

name 名前Sinkiti Sibata
date 日付October 2, 2010 09:27:30 UTC 2010 年 10 月 2 日 (土) 18 時 27 分 30 秒 (日本時間)
composite number 合成数
1069726262895503454164760905793947162911187382593655560507393058563694219543826678771490038752575288236186702508964585953307518350874169729162351223<148>
prime factors 素因数
1685472929252680645553239311305396726832389415179444236359916794115033417<73>
634674247405330801141787783045002736751221468833048613927551306304621673919<75>
factorization results 素因数分解の結果
Number: 95553_153
N=1069726262895503454164760905793947162911187382593655560507393058563694219543826678771490038752575288236186702508964585953307518350874169729162351223
  ( 148 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=1685472929252680645553239311305396726832389415179444236359916794115033417 (pp73)
 r2=634674247405330801141787783045002736751221468833048613927551306304621673919 (pp75)
Version: Msieve v. 1.42
Total time: 0.98 hours.
Scaled time: 0.84 units (timescale=0.854).
Factorization parameters were as follows:
name: 95553_153
n: 1069726262895503454164760905793947162911187382593655560507393058563694219543826678771490038752575288236186702508964585953307518350874169729162351223
m: 1000000000000000000000000000000
deg: 5
c5: 86000
c0: -23
skew: 0.19
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1350000, 2550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 491779 x 492009
Total sieving time: 0.00 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.76 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,154.000,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 0.98 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.34 BogoMIPS (lpj=2913672)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913269)
Total of 2 processors activated (11653.88 BogoMIPS).

Total time: 12 hours 50 min.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)

86×10154-239

c113

name 名前Dmitry Domanov
date 日付October 1, 2010 15:13:02 UTC 2010 年 10 月 2 日 (土) 0 時 13 分 2 秒 (日本時間)
composite number 合成数
43480116527681943589207097089655120265863407667529994804271662685096302155964065218797570559566648930227302850839<113>
prime factors 素因数
188779440117980315600073687306395568841<39>
230322308936335677715542231159745119373717771808703428187901909594343136479<75>
factorization results 素因数分解の結果
Number: wq13
N=43480116527681943589207097089655120265863407667529994804271662685096302155964065218797570559566648930227302850839
  ( 113 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=188779440117980315600073687306395568841 (pp39)
 r2=230322308936335677715542231159745119373717771808703428187901909594343136479 (pp75)
Version: Msieve-1.40
Total time: 21.79 hours.
Scaled time: 41.64 units (timescale=1.911).
Factorization parameters were as follows:
n: 43480116527681943589207097089655120265863407667529994804271662685096302155964065218797570559566648930227302850839
m: 2000000000000000000000000000000
deg: 5
c5: 26875
c0: -23
skew: 0.24
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 488558 x 488790
Total sieving time: 21.35 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.30 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,155.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 21.79 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)

86×10158-239

c121

name 名前Sinkiti Sibata
date 日付October 3, 2010 21:23:05 UTC 2010 年 10 月 4 日 (月) 6 時 23 分 5 秒 (日本時間)
composite number 合成数
1308525798142653414435198437551901073230635954967498737300868990995299579396170659842980405572189293816127939253826971123<121>
prime factors 素因数
149837442447023617801688034251650130539934641<45>
8732969388511116228422826079476312141603027888385545576388525124783639679203<76>
factorization results 素因数分解の結果
Number: 95553_158
N=1308525798142653414435198437551901073230635954967498737300868990995299579396170659842980405572189293816127939253826971123
  ( 121 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=149837442447023617801688034251650130539934641 (pp45)
 r2=8732969388511116228422826079476312141603027888385545576388525124783639679203 (pp76)
Version: Msieve-1.40
Total time: 44.84 hours.
Scaled time: 91.70 units (timescale=2.045).
Factorization parameters were as follows:
name: 95553_158
n: 1308525798142653414435198437551901073230635954967498737300868990995299579396170659842980405572189293816127939253826971123
m: 10000000000000000000000000000000
deg: 5
c5: 86000
c0: -23
skew: 0.19
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1600000, 3400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 595751 x 595999
Total sieving time: 42.90 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.32 hours.
Time per square root: 0.46 hours.
Prototype def-par.txt line would be:
snfs,159.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 44.84 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 30, 2010 23:20:49 UTC 2010 年 10 月 1 日 (金) 8 時 20 分 49 秒 (日本時間)
403e6110 / 2126Ignacio SantosSeptember 30, 2010 23:20:49 UTC 2010 年 10 月 1 日 (金) 8 時 20 分 49 秒 (日本時間)
4511e632 / 4437Ignacio SantosSeptember 30, 2010 23:20:49 UTC 2010 年 10 月 1 日 (金) 8 時 20 分 49 秒 (日本時間)

86×10159-239

c135

name 名前Ignacio Santos
date 日付September 30, 2010 23:49:27 UTC 2010 年 10 月 1 日 (金) 8 時 49 分 27 秒 (日本時間)
composite number 合成数
798157880780792470334430010688802905215999985830694573384877263867496399568740596312227683735777084294646490030673742417498853809928711<135>
prime factors 素因数
260129860757219280802833237949099<33>
3068305493484724865013744762149367078901489249797597643186680172010818281037206040107813338593716551189<103>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1465770070
Step 1 took 6193ms
********** Factor found in step 1: 260129860757219280802833237949099
Found probable prime factor of 33 digits: 260129860757219280802833237949099
Probable prime cofactor 3068305493484724865013744762149367078901489249797597643186680172010818281037206040107813338593716551189 has 103 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)

86×10163-239

c119

name 名前matsui
date 日付October 1, 2010 09:22:50 UTC 2010 年 10 月 1 日 (金) 18 時 22 分 50 秒 (日本時間)
composite number 合成数
10177388064699603808816823269053674215071613583293702812903514096992903895223751807792965121175565192006997705540767387<119>
prime factors 素因数
6094136727216630254449584248778331608590435801<46>
1670029492322846745830258916958783589236102337975547203968898195994192787<73>
factorization results 素因数分解の結果
N=10177388064699603808816823269053674215071613583293702812903514096992903895223751807792965121175565192006997705540767387
  ( 119 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=6094136727216630254449584248778331608590435801 (pp46)
 r2=1670029492322846745830258916958783589236102337975547203968898195994192787 (pp73)
Version: Msieve v. 1.47
Total time:
Scaled time: 13.47 units (timescale=1.879).
Factorization parameters were as follows:
n: 10177388064699603808816823269053674215071613583293702812903514096992903895223751807792965121175565192006997705540767387
m: 100000000000000000000000000000000
deg: 5
c5: 86000
c0: -23
skew: 0.19
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4

Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 4350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 803245 x 803471
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time:
Calibrating delay loop (skipped), value calculated using timer frequency.. 4533.55 BogoMIPS (lpj=2266775)
Total of 16 processors activated (72592.37 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 1, 2010 05:33:50 UTC 2010 年 10 月 1 日 (金) 14 時 33 分 50 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 1, 2010 05:33:50 UTC 2010 年 10 月 1 日 (金) 14 時 33 分 50 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 1, 2010 05:33:50 UTC 2010 年 10 月 1 日 (金) 14 時 33 分 50 秒 (日本時間)

86×10167-239

c145

name 名前Sinkiti Sibata
date 日付October 18, 2010 00:24:38 UTC 2010 年 10 月 18 日 (月) 9 時 24 分 38 秒 (日本時間)
composite number 合成数
1149292796211681817291854116254932573750915725081301162587648412284716918376637360118584640941309638634352898320380986701223317902583804434790687<145>
prime factors 素因数
12282675033006960298359750096365481656922035299<47>
93570235565397013832624033185943770268643350675090175971556746698315271204515435722461908577128213<98>
factorization results 素因数分解の結果
Number: 95553_167
N=1149292796211681817291854116254932573750915725081301162587648412284716918376637360118584640941309638634352898320380986701223317902583804434790687
  ( 145 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=12282675033006960298359750096365481656922035299 (pp47)
 r2=93570235565397013832624033185943770268643350675090175971556746698315271204515435722461908577128213 (pp98)
Version: Msieve-1.40
Total time: 82.68 hours.
Scaled time: 248.86 units (timescale=3.010).
Factorization parameters were as follows:
name: 95553_167
n: 1149292796211681817291854116254932573750915725081301162587648412284716918376637360118584640941309638634352898320380986701223317902583804434790687
m: 1000000000000000000000000000000000
deg: 5
c5: 8600
c0: -23
skew: 0.31
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2300000, 6200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1014542 x 1014789
Total sieving time: 80.36 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.09 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,168.000,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 82.68 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 1, 2010 05:34:21 UTC 2010 年 10 月 1 日 (金) 14 時 34 分 21 秒 (日本時間)
403e6267 / 2126110Ignacio SantosOctober 1, 2010 05:34:21 UTC 2010 年 10 月 1 日 (金) 14 時 34 分 21 秒 (日本時間)
157juno1369October 13, 2010 22:42:30 UTC 2010 年 10 月 14 日 (木) 7 時 42 分 30 秒 (日本時間)
4511e632 / 4402Ignacio SantosOctober 1, 2010 05:34:21 UTC 2010 年 10 月 1 日 (金) 14 時 34 分 21 秒 (日本時間)

86×10170-239

c126

name 名前Ignacio Santos
date 日付October 1, 2010 05:32:11 UTC 2010 年 10 月 1 日 (金) 14 時 32 分 11 秒 (日本時間)
composite number 合成数
100801297919848980225448521991316107943308563947138077700327340926275086709824779907792609741280673673900537376912891095850291<126>
prime factors 素因数
75218014198301500190579203239083051<35>
1340121764636072734651954602962992418586677363874574157312585356468254727801449996292585241<91>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3212392979
Step 1 took 5351ms
Step 2 took 4166ms
********** Factor found in step 2: 75218014198301500190579203239083051
Found probable prime factor of 35 digits: 75218014198301500190579203239083051
Probable prime cofactor 1340121764636072734651954602962992418586677363874574157312585356468254727801449996292585241 has 91 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)

86×10172-239

c128

name 名前Warut Roonguthai
date 日付September 28, 2011 03:49:02 UTC 2011 年 9 月 28 日 (水) 12 時 49 分 2 秒 (日本時間)
composite number 合成数
27399985429131677707000025341693990687386928207434597539902162377226342822001388652335750979399490190517785117628284027282962167<128>
prime factors 素因数
76965339633700252193634377210768956509208283819527<50>
356004216437372100298812799750140784996370799489554417483435206887424299922321<78>
factorization results 素因数分解の結果
N = 27399985429131677707000025341693990687386928207434597539902162377226342822001388652335750979399490190517785117628284027282962167 (128 digits)
SNFS difficulty: 174 digits.
Divisors found:
r1=76965339633700252193634377210768956509208283819527 (pp50)
r2=356004216437372100298812799750140784996370799489554417483435206887424299922321 (pp78)
Version: Msieve v. 1.48
Total time: 38.45 hours.
Factorization parameters were as follows:
name: (86*10^172-23)/9
n: 27399985429131677707000025341693990687386928207434597539902162377226342822001388652335750979399490190517785117628284027282962167
Y0: 10000000000000000000000000000000000
Y1: -1
c0: -23
c1: 0
c2: 0
c3: 0
c4: 0
c5: 8600
skew: 0.31
type: snfs
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 12643238
Relations: 2128944 relations
Pruned matrix : 1282891 x 1283121
Polynomial selection time: 0.00 hours.
Total sieving time: 35.89 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 2.10 hours.
time per square root: 0.39 hours.
Prototype def-par.txt line would be: snfs,174,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,53,53,2.5,2.5,100000
total time: 38.45 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 1, 2010 05:34:58 UTC 2010 年 10 月 1 日 (金) 14 時 34 分 58 秒 (日本時間)
403e62126110Ignacio SantosOctober 1, 2010 05:34:58 UTC 2010 年 10 月 1 日 (金) 14 時 34 分 58 秒 (日本時間)
2016Wataru SakaiOctober 22, 2010 04:45:06 UTC 2010 年 10 月 22 日 (金) 13 時 45 分 6 秒 (日本時間)
4511e6355232Ignacio SantosOctober 1, 2010 05:34:58 UTC 2010 年 10 月 1 日 (金) 14 時 34 分 58 秒 (日本時間)
220Ignacio SantosAugust 29, 2011 10:46:12 UTC 2011 年 8 月 29 日 (月) 19 時 46 分 12 秒 (日本時間)
3300Wataru SakaiSeptember 22, 2011 10:07:51 UTC 2011 年 9 月 22 日 (木) 19 時 7 分 51 秒 (日本時間)
5043e661 / 6587Ignacio SantosAugust 29, 2011 10:46:12 UTC 2011 年 8 月 29 日 (月) 19 時 46 分 12 秒 (日本時間)
5511e736 / 17508Ignacio SantosAugust 29, 2011 10:46:12 UTC 2011 年 8 月 29 日 (月) 19 時 46 分 12 秒 (日本時間)

86×10173-239

c152

name 名前Robert Backstrom
date 日付January 13, 2012 22:53:03 UTC 2012 年 1 月 14 日 (土) 7 時 53 分 3 秒 (日本時間)
composite number 合成数
81581910072741545041865494326027988173679625807233364770168477274548742801045858767952451839713994621054818261144103427816606468542459406932351754179783<152>
prime factors 素因数
498348876807333682298135242837915959909906491426086709<54>
163704412449758307331567906051821074139834087510728458043008103917558733105268633762382448511022987<99>
factorization results 素因数分解の結果
Number: n
N=81581910072741545041865494326027988173679625807233364770168477274548742801045858767952451839713994621054818261144103427816606468542459406932351754179783
  ( 152 digits)
SNFS difficulty: 174 digits.
Divisors found:

Sat Jan 14 01:45:39 2012  prp54 factor: 498348876807333682298135242837915959909906491426086709
Sat Jan 14 01:45:39 2012  prp99 factor: 163704412449758307331567906051821074139834087510728458043008103917558733105268633762382448511022987
Sat Jan 14 01:45:39 2012  elapsed time 02:20:05 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.650).
Factorization parameters were as follows:
name: KA_95553_173
n: 81581910072741545041865494326027988173679625807233364770168477274548742801045858767952451839713994621054818261144103427816606468542459406932351754179783
m: 10000000000000000000000000000000000
deg: 5
c5: 86000
c0: -23
skew: 0.19
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7276347 hash collisions in 75000094 relations
Msieve: matrix is 1081735 x 1081963 (301.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 1, 2010 05:35:36 UTC 2010 年 10 月 1 日 (金) 14 時 35 分 36 秒 (日本時間)
403e62126110Ignacio SantosOctober 1, 2010 05:35:36 UTC 2010 年 10 月 1 日 (金) 14 時 35 分 36 秒 (日本時間)
2016Wataru SakaiOctober 5, 2010 13:23:04 UTC 2010 年 10 月 5 日 (火) 22 時 23 分 4 秒 (日本時間)
4511e632 / 3991Ignacio SantosOctober 1, 2010 05:35:36 UTC 2010 年 10 月 1 日 (金) 14 時 35 分 36 秒 (日本時間)

86×10174-239

c123

name 名前Erik Branger
date 日付October 4, 2010 14:53:21 UTC 2010 年 10 月 4 日 (月) 23 時 53 分 21 秒 (日本時間)
composite number 合成数
193447345902076314753852967907488843012528512556655026857797118969323611640098620510012285933914416515536686095280263171569<123>
prime factors 素因数
212257488982186894089745952119683034483534783588250593079<57>
911380544590871104289729757440388296421915271965490894541759756311<66>
factorization results 素因数分解の結果
Number: 95553_174
N = 193447345902076314753852967907488843012528512556655026857797118969323611640098620510012285933914416515536686095280263171569 (123 digits)
Divisors found:
r1=212257488982186894089745952119683034483534783588250593079 (pp57)
r2=911380544590871104289729757440388296421915271965490894541759756311 (pp66)
Version: Msieve v. 1.45
Total time: 92.84 hours.
Factorization parameters were as follows:
# Murphy_E = 2.048322e-10, selected by Erik Branger
n: 193447345902076314753852967907488843012528512556655026857797118969323611640098620510012285933914416515536686095280263171569
Y0: -474527021375483685370107
Y1: 15090086713079
c0: 522401043146611188020021503600
c1: 26391837678522833408161292
c2: -34064067871365383988
c3: -1697680177304419
c4: 1157144710
c5: 8040
skew: 221004.27
type: gnfs
# selected mechanically
rlim: 6100000
alim: 6100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [3050000, 5550000)
Relations: 10313476
Relations in full relation-set: 1388112 relations
Pruned matrix : 827084 x 827310
Polynomial selection time: 0.00 hours.
Total sieving time: 90.10 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 2.22 hours.
time per square root: 0.34 hours.
Prototype def-par.txt line would be: gnfs,122,5,65,2000,1e-05,0.28,250,20,50000,3600,6100000,6100000,27,27,52,52,2.5,2.5,100000
total time: 92.84 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 30, 2010 21:01:33 UTC 2010 年 10 月 1 日 (金) 6 時 1 分 33 秒 (日本時間)
403e6610 / 2126110Ignacio SantosSeptember 30, 2010 21:01:33 UTC 2010 年 10 月 1 日 (金) 6 時 1 分 33 秒 (日本時間)
500Erik BrangerOctober 2, 2010 09:23:25 UTC 2010 年 10 月 2 日 (土) 18 時 23 分 25 秒 (日本時間)
4511e632 / 4326Ignacio SantosSeptember 30, 2010 21:01:33 UTC 2010 年 10 月 1 日 (金) 6 時 1 分 33 秒 (日本時間)

86×10175-239

c159

name 名前Ignacio Santos
date 日付December 24, 2010 15:47:27 UTC 2010 年 12 月 25 日 (土) 0 時 47 分 27 秒 (日本時間)
composite number 合成数
265134556904274984331736359136028801387378051850811130448944938157701241111149333143954674336616065207708191753065075832680141242461992254743696716636209049651<159>
prime factors 素因数
340915873770639891847992383172514933<36>
composite cofactor 合成数の残り
777712559910458206425359226599190106089241618064126668637141521004386764062901536170107752770441282136463446889596917136647<123>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2859169811
Step 1 took 85800ms
Step 2 took 40623ms
********** Factor found in step 2: 340915873770639891847992383172514933
Found probable prime factor of 36 digits: 340915873770639891847992383172514933
Composite cofactor 777712559910458206425359226599190106089241618064126668637141521004386764062901536170107752770441282136463446889596917136647 has 123 digits
software ソフトウェア
GMP-ECM 6.3

c123

name 名前Jo Yeong Uk
date 日付January 9, 2011 07:59:25 UTC 2011 年 1 月 9 日 (日) 16 時 59 分 25 秒 (日本時間)
composite number 合成数
777712559910458206425359226599190106089241618064126668637141521004386764062901536170107752770441282136463446889596917136647<123>
prime factors 素因数
623289252217944156013466536018695372008041180920370073<54>
1247755447640090540945561753744243228410391976913118272332371690420639<70>
factorization results 素因数分解の結果
Number: 95553_175
N=777712559910458206425359226599190106089241618064126668637141521004386764062901536170107752770441282136463446889596917136647
  ( 123 digits)
Divisors found:
 r1=623289252217944156013466536018695372008041180920370073
 r2=1247755447640090540945561753744243228410391976913118272332371690420639
Version: 
Total time: 39.23 hours.
Scaled time: 93.55 units (timescale=2.385).
Factorization parameters were as follows:
name: 95553_175
n: 777712559910458206425359226599190106089241618064126668637141521004386764062901536170107752770441282136463446889596917136647
skew: 107611.71
# norm 1.21e+17
c5: 41100
c4: -16670838198
c3: -359447905753158
c2: -2075628861029734019
c1: -6765905431161170441764396
c0: 57742706377191582237516644388
# alpha -6.17
Y1: 24700319364119
Y0: -452269584781369065582565
# Murphy_E 1.85e-10
# M 742230644895385759474977251928142305022780656293957149783604741241784297740072598680938020328980652202143543314017930970050
type: gnfs
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [2800000, 5700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10932795
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 886883 x 887131
Total sieving time: 35.73 hours.
Total relation processing time: 1.55 hours.
Matrix solve time: 1.78 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
gnfs,122,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5600000,5600000,27,27,53,53,2.4,2.4,100000
total time: 39.23 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: 8046576k/8912896k available (2575k kernel code, 339584k reserved, 1304k data, 212k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.45 BogoMIPS (lpj=2672728)
Calibrating delay using timer specific routine.. 5345.45 BogoMIPS (lpj=2672728)
Calibrating delay using timer specific routine.. 5345.44 BogoMIPS (lpj=2672723)
Calibrating delay using timer specific routine.. 5345.45 BogoMIPS (lpj=2672728)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)
403e62318280Serge BatalovDecember 24, 2010 21:29:13 UTC 2010 年 12 月 25 日 (土) 6 時 29 分 13 秒 (日本時間)
2038Wataru SakaiJanuary 7, 2011 03:47:13 UTC 2011 年 1 月 7 日 (金) 12 時 47 分 13 秒 (日本時間)
4511e6200 / 3759Ignacio SantosJanuary 6, 2011 18:04:49 UTC 2011 年 1 月 7 日 (金) 3 時 4 分 49 秒 (日本時間)
5043e658 / 7420Ignacio SantosJanuary 6, 2011 18:04:49 UTC 2011 年 1 月 7 日 (金) 3 時 4 分 49 秒 (日本時間)

86×10176-239

c146

name 名前Erik Branger
date 日付March 27, 2013 07:47:22 UTC 2013 年 3 月 27 日 (水) 16 時 47 分 22 秒 (日本時間)
composite number 合成数
20390313012535387598644429295056667125409350095929806006429346065947775817416152391928966284379748052534107516621961773969888860779938280853643779<146>
prime factors 素因数
1888917518187421180537007635033548463391344610096228829220647699893<67>
10794707982856576316078820645669688330833700277384038173821702578270468631583703<80>
factorization results 素因数分解の結果
Tue Mar 26 21:33:01 2013  Msieve v. 1.51 (SVN exported)
Tue Mar 26 21:33:01 2013  random seeds: 50d1f8ad 58703407
Tue Mar 26 21:33:01 2013  factoring 20390313012535387598644429295056667125409350095929806006429346065947775817416152391928966284379748052534107516621961773969888860779938280853643779 (146 digits)
Tue Mar 26 21:33:02 2013  no P-1/P+1/ECM available, skipping
Tue Mar 26 21:33:02 2013  commencing number field sieve (146-digit input)
Tue Mar 26 21:33:02 2013  R0: -100000000000000000000000000000000000
Tue Mar 26 21:33:02 2013  R1: 1
Tue Mar 26 21:33:02 2013  A0: -23
Tue Mar 26 21:33:02 2013  A1: 0
Tue Mar 26 21:33:02 2013  A2: 0
Tue Mar 26 21:33:02 2013  A3: 0
Tue Mar 26 21:33:02 2013  A4: 0
Tue Mar 26 21:33:02 2013  A5: 860
Tue Mar 26 21:33:02 2013  skew 0.48, size 1.578e-12, alpha -0.008, combined = 1.099e-10 rroots = 1
Tue Mar 26 21:33:02 2013  
Tue Mar 26 21:33:02 2013  commencing relation filtering
Tue Mar 26 21:33:02 2013  estimated available RAM is 15847.0 MB
Tue Mar 26 21:33:02 2013  commencing duplicate removal, pass 1
Tue Mar 26 21:35:10 2013  found 2356256 hash collisions in 18620211 relations
Tue Mar 26 21:35:24 2013  added 1883 free relations
Tue Mar 26 21:35:24 2013  commencing duplicate removal, pass 2
Tue Mar 26 21:36:02 2013  found 2296516 duplicates and 16325578 unique relations
Tue Mar 26 21:36:02 2013  memory use: 98.6 MB
Tue Mar 26 21:36:02 2013  reading ideals above 720000
Tue Mar 26 21:36:02 2013  commencing singleton removal, initial pass
Tue Mar 26 21:38:17 2013  memory use: 376.5 MB
Tue Mar 26 21:38:17 2013  reading all ideals from disk
Tue Mar 26 21:38:17 2013  memory use: 495.2 MB
Tue Mar 26 21:38:18 2013  commencing in-memory singleton removal
Tue Mar 26 21:38:18 2013  begin with 16325578 relations and 18866674 unique ideals
Tue Mar 26 21:38:25 2013  reduce to 5431396 relations and 5275470 ideals in 22 passes
Tue Mar 26 21:38:25 2013  max relations containing the same ideal: 78
Tue Mar 26 21:38:26 2013  removing 196255 relations and 185747 ideals in 10508 cliques
Tue Mar 26 21:38:26 2013  commencing in-memory singleton removal
Tue Mar 26 21:38:26 2013  begin with 5235141 relations and 5275470 unique ideals
Tue Mar 26 21:38:28 2013  reduce to 5228198 relations and 5082760 ideals in 9 passes
Tue Mar 26 21:38:28 2013  max relations containing the same ideal: 76
Tue Mar 26 21:38:30 2013  removing 140019 relations and 129511 ideals in 10508 cliques
Tue Mar 26 21:38:30 2013  commencing in-memory singleton removal
Tue Mar 26 21:38:30 2013  begin with 5088179 relations and 5082760 unique ideals
Tue Mar 26 21:38:32 2013  reduce to 5084489 relations and 4949551 ideals in 7 passes
Tue Mar 26 21:38:32 2013  max relations containing the same ideal: 75
Tue Mar 26 21:38:32 2013  relations with 0 large ideals: 2941
Tue Mar 26 21:38:32 2013  relations with 1 large ideals: 1625
Tue Mar 26 21:38:32 2013  relations with 2 large ideals: 25590
Tue Mar 26 21:38:32 2013  relations with 3 large ideals: 173221
Tue Mar 26 21:38:32 2013  relations with 4 large ideals: 621217
Tue Mar 26 21:38:32 2013  relations with 5 large ideals: 1261078
Tue Mar 26 21:38:32 2013  relations with 6 large ideals: 1537032
Tue Mar 26 21:38:32 2013  relations with 7+ large ideals: 1461785
Tue Mar 26 21:38:32 2013  commencing 2-way merge
Tue Mar 26 21:38:34 2013  reduce to 2836366 relation sets and 2701435 unique ideals
Tue Mar 26 21:38:34 2013  ignored 7 oversize relation sets
Tue Mar 26 21:38:34 2013  commencing full merge
Tue Mar 26 21:39:01 2013  memory use: 307.7 MB
Tue Mar 26 21:39:01 2013  found 1420658 cycles, need 1409635
Tue Mar 26 21:39:01 2013  weight of 1409635 cycles is about 98855323 (70.13/cycle)
Tue Mar 26 21:39:01 2013  distribution of cycle lengths:
Tue Mar 26 21:39:01 2013  1 relations: 199738
Tue Mar 26 21:39:01 2013  2 relations: 177598
Tue Mar 26 21:39:01 2013  3 relations: 172194
Tue Mar 26 21:39:01 2013  4 relations: 149101
Tue Mar 26 21:39:01 2013  5 relations: 125543
Tue Mar 26 21:39:01 2013  6 relations: 106166
Tue Mar 26 21:39:01 2013  7 relations: 88874
Tue Mar 26 21:39:01 2013  8 relations: 72144
Tue Mar 26 21:39:01 2013  9 relations: 58597
Tue Mar 26 21:39:01 2013  10+ relations: 259680
Tue Mar 26 21:39:01 2013  heaviest cycle: 28 relations
Tue Mar 26 21:39:01 2013  commencing cycle optimization
Tue Mar 26 21:39:03 2013  start with 8277230 relations
Tue Mar 26 21:39:10 2013  pruned 153175 relations
Tue Mar 26 21:39:10 2013  memory use: 285.3 MB
Tue Mar 26 21:39:10 2013  distribution of cycle lengths:
Tue Mar 26 21:39:10 2013  1 relations: 199738
Tue Mar 26 21:39:10 2013  2 relations: 181104
Tue Mar 26 21:39:10 2013  3 relations: 177085
Tue Mar 26 21:39:10 2013  4 relations: 151320
Tue Mar 26 21:39:10 2013  5 relations: 127511
Tue Mar 26 21:39:10 2013  6 relations: 106474
Tue Mar 26 21:39:10 2013  7 relations: 88802
Tue Mar 26 21:39:10 2013  8 relations: 71238
Tue Mar 26 21:39:10 2013  9 relations: 57703
Tue Mar 26 21:39:10 2013  10+ relations: 248660
Tue Mar 26 21:39:10 2013  heaviest cycle: 27 relations
Tue Mar 26 21:39:11 2013  RelProcTime: 369
Tue Mar 26 21:39:11 2013  elapsed time 00:06:10
Tue Mar 26 21:39:11 2013 LatSieveTime: 1054.4
Tue Mar 26 21:39:11 2013 -> Running matrix solving step ...
Tue Mar 26 21:39:11 2013  
Tue Mar 26 21:39:11 2013  
Tue Mar 26 21:39:11 2013  Msieve v. 1.51 (SVN exported)
Tue Mar 26 21:39:11 2013  random seeds: 3b7c706c 839beb85
Tue Mar 26 21:39:11 2013  factoring 20390313012535387598644429295056667125409350095929806006429346065947775817416152391928966284379748052534107516621961773969888860779938280853643779 (146 digits)
Tue Mar 26 21:39:12 2013  no P-1/P+1/ECM available, skipping
Tue Mar 26 21:39:12 2013  commencing number field sieve (146-digit input)
Tue Mar 26 21:39:12 2013  R0: -100000000000000000000000000000000000
Tue Mar 26 21:39:12 2013  R1: 1
Tue Mar 26 21:39:12 2013  A0: -23
Tue Mar 26 21:39:12 2013  A1: 0
Tue Mar 26 21:39:12 2013  A2: 0
Tue Mar 26 21:39:12 2013  A3: 0
Tue Mar 26 21:39:12 2013  A4: 0
Tue Mar 26 21:39:12 2013  A5: 860
Tue Mar 26 21:39:12 2013  skew 0.48, size 1.578e-12, alpha -0.008, combined = 1.099e-10 rroots = 1
Tue Mar 26 21:39:12 2013  
Tue Mar 26 21:39:12 2013  commencing linear algebra
Tue Mar 26 21:39:12 2013  read 1409635 cycles
Tue Mar 26 21:39:14 2013  cycles contain 4890045 unique relations
Tue Mar 26 21:40:11 2013  read 4890045 relations
Tue Mar 26 21:40:14 2013  using 20 quadratic characters above 268434842
Tue Mar 26 21:40:32 2013  building initial matrix
Tue Mar 26 21:40:59 2013  memory use: 600.5 MB
Tue Mar 26 21:40:59 2013  read 1409635 cycles
Tue Mar 26 21:40:59 2013  matrix is 1409449 x 1409635 (424.2 MB) with weight 126219202 (89.54/col)
Tue Mar 26 21:40:59 2013  sparse part has weight 95706552 (67.89/col)
Tue Mar 26 21:41:07 2013  filtering completed in 2 passes
Tue Mar 26 21:41:07 2013  matrix is 1405423 x 1405609 (423.8 MB) with weight 126060372 (89.68/col)
Tue Mar 26 21:41:07 2013  sparse part has weight 95641139 (68.04/col)
Tue Mar 26 21:41:11 2013  matrix starts at (0, 0)
Tue Mar 26 21:41:11 2013  matrix is 1405423 x 1405609 (423.8 MB) with weight 126060372 (89.68/col)
Tue Mar 26 21:41:11 2013  sparse part has weight 95641139 (68.04/col)
Tue Mar 26 21:41:11 2013  saving the first 48 matrix rows for later
Tue Mar 26 21:41:11 2013  matrix includes 64 packed rows
Tue Mar 26 21:41:12 2013  matrix is 1405375 x 1405609 (403.7 MB) with weight 100882842 (71.77/col)
Tue Mar 26 21:41:12 2013  sparse part has weight 91771733 (65.29/col)
Tue Mar 26 21:41:12 2013  using block size 65536 for processor cache size 8192 kB
Tue Mar 26 21:41:15 2013  commencing Lanczos iteration (4 threads)
Tue Mar 26 21:41:15 2013  memory use: 350.8 MB
Tue Mar 26 21:41:19 2013  linear algebra at 0.1%, ETA 1h 1m
Tue Mar 26 21:41:20 2013  checkpointing every 1460000 dimensions
Tue Mar 26 22:39:45 2013  lanczos halted after 22225 iterations (dim = 1405375)
Tue Mar 26 22:39:46 2013  recovered 40 nontrivial dependencies
Tue Mar 26 22:39:46 2013  BLanczosTime: 3634
Tue Mar 26 22:39:46 2013  elapsed time 01:00:35
Tue Mar 26 22:39:46 2013 -> Running square root step ...
Tue Mar 26 22:39:46 2013  
Tue Mar 26 22:39:46 2013  
Tue Mar 26 22:39:46 2013  Msieve v. 1.51 (SVN exported)
Tue Mar 26 22:39:46 2013  random seeds: 82757fdc e2b916f7
Tue Mar 26 22:39:46 2013  factoring 20390313012535387598644429295056667125409350095929806006429346065947775817416152391928966284379748052534107516621961773969888860779938280853643779 (146 digits)
Tue Mar 26 22:39:47 2013  no P-1/P+1/ECM available, skipping
Tue Mar 26 22:39:47 2013  commencing number field sieve (146-digit input)
Tue Mar 26 22:39:47 2013  R0: -100000000000000000000000000000000000
Tue Mar 26 22:39:47 2013  R1: 1
Tue Mar 26 22:39:47 2013  A0: -23
Tue Mar 26 22:39:47 2013  A1: 0
Tue Mar 26 22:39:47 2013  A2: 0
Tue Mar 26 22:39:47 2013  A3: 0
Tue Mar 26 22:39:47 2013  A4: 0
Tue Mar 26 22:39:47 2013  A5: 860
Tue Mar 26 22:39:47 2013  skew 0.48, size 1.578e-12, alpha -0.008, combined = 1.099e-10 rroots = 1
Tue Mar 26 22:39:47 2013  
Tue Mar 26 22:39:47 2013  commencing square root phase
Tue Mar 26 22:39:47 2013  reading relations for dependency 1
Tue Mar 26 22:39:47 2013  read 703709 cycles
Tue Mar 26 22:39:47 2013  cycles contain 2447878 unique relations
Tue Mar 26 22:40:33 2013  read 2447878 relations
Tue Mar 26 22:40:40 2013  multiplying 2447878 relations
Tue Mar 26 22:41:39 2013  multiply complete, coefficients have about 76.64 million bits
Tue Mar 26 22:41:39 2013  initial square root is modulo 317351
Tue Mar 26 22:42:49 2013  sqrtTime: 182
Tue Mar 26 22:42:49 2013  prp67 factor: 1888917518187421180537007635033548463391344610096228829220647699893
Tue Mar 26 22:42:49 2013  prp80 factor: 10794707982856576316078820645669688330833700277384038173821702578270468631583703
Tue Mar 26 22:42:49 2013  elapsed time 00:03:03
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 24, 2010 16:42:05 UTC 2010 年 12 月 25 日 (土) 1 時 42 分 5 秒 (日本時間)
403e62126110Ignacio SantosDecember 24, 2010 16:42:05 UTC 2010 年 12 月 25 日 (土) 1 時 42 分 5 秒 (日本時間)
2016Wataru SakaiNovember 13, 2011 03:13:42 UTC 2011 年 11 月 13 日 (日) 12 時 13 分 42 秒 (日本時間)
4511e632 / 3991Ignacio SantosDecember 24, 2010 16:42:05 UTC 2010 年 12 月 25 日 (土) 1 時 42 分 5 秒 (日本時間)

86×10178-239

c127

name 名前Warut Roonguthai
date 日付December 23, 2011 10:26:13 UTC 2011 年 12 月 23 日 (金) 19 時 26 分 13 秒 (日本時間)
composite number 合成数
3196545684192623130656271562530296717778719367806151201556879004767048815660426508532913178376015767797522372482924736942269011<127>
prime factors 素因数
295621112638404698770204863999919489249592977653551<51>
10812981710486106279735712319697747009034517529844798157405625460981212882461<77>
factorization results 素因数分解の結果
N = 3196545684192623130656271562530296717778719367806151201556879004767048815660426508532913178376015767797522372482924736942269011 (127 digits)
Divisors found:
r1=295621112638404698770204863999919489249592977653551 (pp51)
r2=10812981710486106279735712319697747009034517529844798157405625460981212882461 (pp77)
Version: Msieve v. 1.48
Total time: 31.86 hours.
Factorization parameters were as follows:
n: 3196545684192623130656271562530296717778719367806151201556879004767048815660426508532913178376015767797522372482924736942269011
Y0: -3534357319708759866066845
Y1: 49311939773197
c0: -5022583077913368142647342206952
c1: 237890801387520348723906970
c2: -159753208610707642173
c3: -4597875377762946
c4: 256770680
c5: 5796
skew: 415448.35 
type: gnfs
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 18841881
Relations: 2285400 relations
Pruned matrix : 1261566 x 1261791
Polynomial selection time: 0.00 hours.
Total sieving time: 29.71 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.93 hours.
time per square root: 0.10 hours.
Prototype def-par.txt line would be: gnfs,126,5,65,2000,1e-05,0.28,250,20,50000,3600,6100000,6100000,28,28,55,55,2.5,2.5,100000
total time: 31.86 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 24, 2010 17:30:19 UTC 2010 年 12 月 25 日 (土) 2 時 30 分 19 秒 (日本時間)
403e6880110Ignacio SantosDecember 24, 2010 17:30:19 UTC 2010 年 12 月 25 日 (土) 2 時 30 分 19 秒 (日本時間)
770Ignacio SantosJune 22, 2011 16:51:07 UTC 2011 年 6 月 23 日 (木) 1 時 51 分 7 秒 (日本時間)
4511e6252 / 405332Ignacio SantosDecember 24, 2010 17:30:19 UTC 2010 年 12 月 25 日 (土) 2 時 30 分 19 秒 (日本時間)
220Ignacio SantosJune 22, 2011 16:51:07 UTC 2011 年 6 月 23 日 (木) 1 時 51 分 7 秒 (日本時間)
5043e661 / 7461Ignacio SantosJune 22, 2011 16:51:07 UTC 2011 年 6 月 23 日 (木) 1 時 51 分 7 秒 (日本時間)

86×10180-239

c177

name 名前Ignacio Santos
date 日付October 6, 2010 16:52:11 UTC 2010 年 10 月 7 日 (木) 1 時 52 分 11 秒 (日本時間)
composite number 合成数
330607741603140004690016799486404717695587155504811111495538717626390186332060877955767759594351989605077519826853806025518304520484225013166645523148308326317529514429490210551<177>
prime factors 素因数
524298977907426943840559900920305028286924673446274073630354234898906793514310925217<84>
630571020608615207320380462688500408955424719216496537737992854093591866728351036473754999703<93>
factorization results 素因数分解の結果
Number: 6
N=330607741603140004690016799486404717695587155504811111495538717626390186332060877955767759594351989605077519826853806025518304520484225013166645523148308326317529514429490210551
  ( 177 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=524298977907426943840559900920305028286924673446274073630354234898906793514310925217 (pp84)
 r2=630571020608615207320380462688500408955424719216496537737992854093591866728351036473754999703 (pp93)
Version: Msieve-1.40
Total time: 176.37 hours.
Scaled time: 306.70 units (timescale=1.739).
Factorization parameters were as follows:
n: 330607741603140004690016799486404717695587155504811111495538717626390186332060877955767759594351989605077519826853806025518304520484225013166645523148308326317529514429490210551
m: 1000000000000000000000000000000000000
deg: 5
c5: 86
c0: -23
skew: 0.77
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3750000, 6650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1447422 x 1447647
Total sieving time: 171.98 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 3.03 hours.
Time per square root: 1.12 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time: 176.37 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 1, 2010 05:36:16 UTC 2010 年 10 月 1 日 (金) 14 時 36 分 16 秒 (日本時間)
403e62126110Ignacio SantosOctober 1, 2010 05:36:16 UTC 2010 年 10 月 1 日 (金) 14 時 36 分 16 秒 (日本時間)
2016Wataru SakaiOctober 4, 2010 01:13:51 UTC 2010 年 10 月 4 日 (月) 10 時 13 分 51 秒 (日本時間)
4511e632 / 3991Ignacio SantosOctober 1, 2010 05:36:16 UTC 2010 年 10 月 1 日 (金) 14 時 36 分 16 秒 (日本時間)

86×10185-239

c169

name 名前Dmitry Domanov
date 日付June 14, 2013 13:15:46 UTC 2013 年 6 月 14 日 (金) 22 時 15 分 46 秒 (日本時間)
composite number 合成数
1386613136721000965665187487217239221982643583475065997356915969498012741328980733638800434103268321568965348888811898530857978686973433269564291655982563734353836504881<169>
prime factors 素因数
6282277903894697995452811751016561589687783634521<49>
220718210485621814617100021972686317339115967977633092173149879477717242622429782500773508402947771662183419283265707161<120>
factorization results 素因数分解の結果
N=1386613136721000965665187487217239221982643583475065997356915969498012741328980733638800434103268321568965348888811898530857978686973433269564291655982563734353836504881
  ( 169 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=6282277903894697995452811751016561589687783634521 (pp49)
 r2=220718210485621814617100021972686317339115967977633092173149879477717242622429782500773508402947771662183419283265707161 (pp120)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 218.47 hours.
Scaled time: 420.34 units (timescale=1.924).
Factorization parameters were as follows:
n: 1386613136721000965665187487217239221982643583475065997356915969498012741328980733638800434103268321568965348888811898530857978686973433269564291655982563734353836504881
m: 10000000000000000000000000000000000000
deg: 5
c5: 86
c0: -23
skew: 0.77
# Murphy_E = 4.875e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4550000, 15350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1873544 x 1873771
Total sieving time: 214.14 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 3.75 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,100000
total time: 218.47 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 26, 2010 11:00:51 UTC 2010 年 12 月 26 日 (日) 20 時 0 分 51 秒 (日本時間)
403e62210110Ignacio SantosDecember 26, 2010 11:00:51 UTC 2010 年 12 月 26 日 (日) 20 時 0 分 51 秒 (日本時間)
2100Warut RoonguthaiFebruary 4, 2013 23:56:37 UTC 2013 年 2 月 5 日 (火) 8 時 56 分 37 秒 (日本時間)
4511e632 / 3973Ignacio SantosDecember 26, 2010 11:00:51 UTC 2010 年 12 月 26 日 (日) 20 時 0 分 51 秒 (日本時間)

86×10186-239

c110

name 名前Erik Branger
date 日付October 1, 2010 14:09:50 UTC 2010 年 10 月 1 日 (金) 23 時 9 分 50 秒 (日本時間)
composite number 合成数
19184654121377553400741846826148167103525154569228843900573592581443501671052895795422510228888695444000055071<110>
prime factors 素因数
18727146811517742991390875629316910770928071114019553<53>
1024430166242859271724658283744575256691859187343012049407<58>
factorization results 素因数分解の結果
Number: 95553_186
N = 19184654121377553400741846826148167103525154569228843900573592581443501671052895795422510228888695444000055071 (110 digits)
Divisors found:
r1=18727146811517742991390875629316910770928071114019553 (pp53)
r2=1024430166242859271724658283744575256691859187343012049407 (pp58)
Version: Msieve v. 1.47
Total time: 23.39 hours.
Factorization parameters were as follows:
n: 19184654121377553400741846826148167103525154569228843900573592581443501671052895795422510228888695444000055071
Y0: -2297033410199834963399
Y1: 182464947361
c0: 27155818400809031028865121184
c1: 994382081124075105016728
c2: 3918487763293655740
c3: -51662460129490
c4: -33398395
c5: 300
skew: 217848.01 
type: gnfs
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [1600000, 2500000)
Relations: 12657782
Relations in full relation-set: 308218 relations
Pruned matrix : 227964 x 228212
Polynomial selection time: 1.01 hours.
Total sieving time: 22.21 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.05 hours.
time per square root: 0.04 hours.
Prototype def-par.txt line would be: gnfs,109,5,61,2000,0.00015,0.3,250,15,50000,2400,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 23.39 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 30, 2010 20:12:13 UTC 2010 年 10 月 1 日 (金) 5 時 12 分 13 秒 (日本時間)
403e6110 / 2126Ignacio SantosSeptember 30, 2010 20:12:13 UTC 2010 年 10 月 1 日 (金) 5 時 12 分 13 秒 (日本時間)
4511e632 / 4437Ignacio SantosSeptember 30, 2010 20:12:13 UTC 2010 年 10 月 1 日 (金) 5 時 12 分 13 秒 (日本時間)

86×10187-239

c136

name 名前Robert Backstrom
date 日付May 20, 2012 12:06:55 UTC 2012 年 5 月 20 日 (日) 21 時 6 分 55 秒 (日本時間)
composite number 合成数
1701907069804271292823648421411089503713572014452585037575837167614433606424282701941552619735270078162421311814165306985832672776106637<136>
prime factors 素因数
5098829813366784987313804141372806004678785698156405833<55>
333783854746956698610394130540230100045578776719413758457355646445717241963287589<81>
factorization results 素因数分解の結果
Number: n
N=1701907069804271292823648421411089503713572014452585037575837167614433606424282701941552619735270078162421311814165306985832672776106637
  ( 136 digits)
Divisors found:

Sun May 20 21:55:56 2012  prp55 factor: 5098829813366784987313804141372806004678785698156405833
Sun May 20 21:55:56 2012  prp81 factor: 333783854746956698610394130540230100045578776719413758457355646445717241963287589
Sun May 20 21:55:56 2012  elapsed time 05:30:09 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.097).
Factorization parameters were as follows:
name: KA_95553_187
n: 1701907069804271292823648421411089503713572014452585037575837167614433606424282701941552619735270078162421311814165306985832672776106637
skew: 1177556.95
# norm 1.39e+19
c5: 23400
c4: 84311047845
c3: -106181242742267107
c2: -93010418092149119618671
c1: 46095951717529645999253109302
c0: 14692052378227110619575961125774816
# alpha -7.27
Y1: 347792806977413
Y0: -148711058572771666653275869
# Murphy_E 3.86e-11
# M 246727975978855520519133637975054317113239743832185932799703554120838445832367035525848378049488183170581644059513525385551261767047697
type: gnfs
rlim: 20000000
alim: 20000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 15460000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2003228 hash collisions in 23834565 relations (22741414 unique)
Msieve: matrix is 1705116 x 1705342 (497.8 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,135,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,20000000,20000000,28,28,56,56,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.55 BogoMIPS (lpj=2830779)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830450)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830462)
Total of 4 processors activated (22644.29 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 26, 2010 11:51:18 UTC 2010 年 12 月 26 日 (日) 20 時 51 分 18 秒 (日本時間)
403e6110 / 2126Ignacio SantosDecember 26, 2010 11:51:18 UTC 2010 年 12 月 26 日 (日) 20 時 51 分 18 秒 (日本時間)
4511e632 / 4437Ignacio SantosDecember 26, 2010 11:51:18 UTC 2010 年 12 月 26 日 (日) 20 時 51 分 18 秒 (日本時間)

86×10189-239

c150

composite cofactor 合成数の残り
884222759590233120343598248877193170514307465387633874437987847298185886955210688025391505297555222636673859775929745761322400680824373047208233324943<150>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 26, 2010 12:37:06 UTC 2010 年 12 月 26 日 (日) 21 時 37 分 6 秒 (日本時間)
403e63110110Ignacio SantosDecember 26, 2010 12:37:06 UTC 2010 年 12 月 26 日 (日) 21 時 37 分 6 秒 (日本時間)
3000Warut RoonguthaiFebruary 4, 2013 05:18:54 UTC 2013 年 2 月 4 日 (月) 14 時 18 分 54 秒 (日本時間)
4511e6632 / 377432Ignacio SantosDecember 26, 2010 12:37:06 UTC 2010 年 12 月 26 日 (日) 21 時 37 分 6 秒 (日本時間)
600Dmitry DomanovMarch 20, 2014 08:57:20 UTC 2014 年 3 月 20 日 (木) 17 時 57 分 20 秒 (日本時間)

86×10190-239

c176

composite cofactor 合成数の残り
18806855963186376333476521848836040277334989116175643600272095708834824680994469454823834048908186446092133581942083393181072508409786816114325924555589485331207160039050262271<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 26, 2010 16:45:37 UTC 2010 年 12 月 27 日 (月) 1 時 45 分 37 秒 (日本時間)
403e62210110Ignacio SantosDecember 26, 2010 16:45:37 UTC 2010 年 12 月 27 日 (月) 1 時 45 分 37 秒 (日本時間)
2100Warut RoonguthaiFebruary 5, 2013 04:19:52 UTC 2013 年 2 月 5 日 (火) 13 時 19 分 52 秒 (日本時間)
4511e6632 / 397332Ignacio SantosDecember 26, 2010 16:45:37 UTC 2010 年 12 月 27 日 (月) 1 時 45 分 37 秒 (日本時間)
600Dmitry DomanovMarch 20, 2014 08:57:51 UTC 2014 年 3 月 20 日 (木) 17 時 57 分 51 秒 (日本時間)

86×10191-239

c131

name 名前Erik Branger
date 日付November 10, 2010 20:40:18 UTC 2010 年 11 月 11 日 (木) 5 時 40 分 18 秒 (日本時間)
composite number 合成数
70052968944763721502060027876985953137711422503573939343064040250306571565604192970365497018253059516827873180181588548219757774469<131>
prime factors 素因数
67758549300587533528102517239375186554648570670736304282708242233<65>
1033861699635831682277514798064616563665524220325920698188621579693<67>
factorization results 素因数分解の結果
Number: 95553_191
N = 70052968944763721502060027876985953137711422503573939343064040250306571565604192970365497018253059516827873180181588548219757774469 (131 digits)
Divisors found:
r1=67758549300587533528102517239375186554648570670736304282708242233 (pp65)
r2=1033861699635831682277514798064616563665524220325920698188621579693 (pp67)
Version: Msieve v. 1.47
Total time: 226.49 hours.
Factorization parameters were as follows:
# Murphy_E = 8.176e-11, selected by Erik Branger
n: 70052968944763721502060027876985953137711422503573939343064040250306571565604192970365497018253059516827873180181588548219757774469
Y0: -42520409960806656619880900
Y1: 111254813332601
c0: -47558950945116675730814402215731
c1: -567652241532918807583364052
c2: -2031825199270060656623
c3: -4380065653413218
c4: 3900454308
c5: 504
skew: 915452.36
type: gnfs
# selected mechanically
rlim: 10300000
alim: 10300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 10300000/10300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [5150000, 10250000)
Relations: 38921728
Relations in full relation-set: 2300224 relations
Pruned matrix : 1393663 x 1393888
Polynomial selection time: 0.00 hours.
Total sieving time: 223.69 hours.
Total relation processing time: 0.80 hours.
Matrix solve time: 1.60 hours.
time per square root: 0.40 hours.
Prototype def-par.txt line would be: gnfs,130,5,65,2000,1e-05,0.28,250,20,50000,3600,10300000,10300000,28,28,54,54,2.6,2.6,100000
total time: 226.49 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 30, 2010 21:26:23 UTC 2010 年 10 月 1 日 (金) 6 時 26 分 23 秒 (日本時間)
403e62126110Ignacio SantosSeptember 30, 2010 21:26:23 UTC 2010 年 10 月 1 日 (金) 6 時 26 分 23 秒 (日本時間)
2016Wataru SakaiOctober 2, 2010 02:58:18 UTC 2010 年 10 月 2 日 (土) 11 時 58 分 18 秒 (日本時間)
4511e632 / 3991Ignacio SantosSeptember 30, 2010 21:26:23 UTC 2010 年 10 月 1 日 (金) 6 時 26 分 23 秒 (日本時間)

86×10192-239

c193

name 名前Robert Backstrom
date 日付November 1, 2010 01:32:06 UTC 2010 年 11 月 1 日 (月) 10 時 32 分 6 秒 (日本時間)
composite number 合成数
1365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079<193>
prime factors 素因数
37725703921118452320782853540965072195789629048244548222291695003433768100813<77>
36184331190576089061587592089969156927857057722269506222845837043599847147159646849716416321409296917947267059295283<116>
factorization results 素因数分解の結果
Number: n
N=1365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079
  ( 193 digits)
SNFS difficulty: 193 digits.
Divisors found:

Mon Nov  1 12:27:46 2010  prp77 factor: 37725703921118452320782853540965072195789629048244548222291695003433768100813
Mon Nov  1 12:27:46 2010  prp116 factor: 36184331190576089061587592089969156927857057722269506222845837043599847147159646849716416321409296917947267059295283
Mon Nov  1 12:27:46 2010  elapsed time 04:19:26 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.100).
Factorization parameters were as follows:
name: KA_9_5_191_3
n: 1365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079365079
m: 100000000000000000000000000000000000000
deg: 5
c5: 8600
c0: -23
skew: 0.31
type: snfs
lss: 1
rlim: 11900000
alim: 11900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
Factor base limits: 11900000/11900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 30450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5687436 hash collisions in 36010864 relations
Msieve: matrix is 1770742 x 1770968 (498.7 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11900000,11900000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.11 BogoMIPS (lpj=2830559)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830451)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Total of 4 processors activated (22643.85 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 10, 2010 08:45:33 UTC 2010 年 10 月 10 日 (日) 17 時 45 分 33 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 10, 2010 08:45:33 UTC 2010 年 10 月 10 日 (日) 17 時 45 分 33 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 10, 2010 08:45:33 UTC 2010 年 10 月 10 日 (日) 17 時 45 分 33 秒 (日本時間)

86×10195-239

c184

name 名前matsui
date 日付October 28, 2011 05:01:27 UTC 2011 年 10 月 28 日 (金) 14 時 1 分 27 秒 (日本時間)
composite number 合成数
3231510212181181312727388227568177306127586413472500681052750432216344704581263573985261370310554772512715174870204182962059241867920720630736102788827387858215927675863873630374618571<184>
prime factors 素因数
828123417211663495730871219184335408895804846487<48>
3902208469193941688847553547069043087869640148125194373055767119503757965193389336592989071809729566281644346020897520088104070827543533<136>
factorization results 素因数分解の結果
N=3231510212181181312727388227568177306127586413472500681052750432216344704581263573985261370310554772512715174870204182962059241867920720630736102788827387858215927675863873630374618571
  ( 184 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=828123417211663495730871219184335408895804846487 (pp48)
 r2=3902208469193941688847553547069043087869640148125194373055767119503757965193389336592989071809729566281644346020897520088104070827543533 (pp136)
Version: Msieve v. 1.50
Total time:
Scaled time: 76.59 units (timescale=1.393).
Factorization parameters were as follows:
n: 3231510212181181312727388227568177306127586413472500681052750432216344704581263573985261370310554772512715174870204182962059241867920720630736102788827387858215927675863873630374618571
m: 1000000000000000000000000000000000000000
deg: 5
c5: 86
c0: -23
skew: 0.77
type: snfs
lss: 1
rlim: 13400000
alim: 13400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 160000
Factor base limits: 13400000/13400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6700000, 15180001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2593474 x 2593695
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,196.000,5,0,0,0,0,0,0,0,0,13400000,13400000,28,28,55,55,2.5,2.5,100000
total time:
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 27, 2010 20:57:45 UTC 2010 年 12 月 28 日 (火) 5 時 57 分 45 秒 (日本時間)
403e6110 / 2126Ignacio SantosDecember 27, 2010 20:57:45 UTC 2010 年 12 月 28 日 (火) 5 時 57 分 45 秒 (日本時間)
4511e632 / 4437Ignacio SantosDecember 27, 2010 20:57:45 UTC 2010 年 12 月 28 日 (火) 5 時 57 分 45 秒 (日本時間)

86×10197-239

c181

name 名前Dmitry Domanov
date 日付March 21, 2014 05:10:20 UTC 2014 年 3 月 21 日 (金) 14 時 10 分 20 秒 (日本時間)
composite number 合成数
3495321596998450464260672236255297147705188563440124137319439774919194182154089736944274420393304232981031551113309658502107048663733005982593452931223626245688128044325677798329977<181>
prime factors 素因数
240045542017051185533634525857177675737279319<45>
14561076900774798977337563418028573545161717079927886771868771900832279957490732143860004530752972029001045718578590344036022865201873583<137>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3635790300
Step 1 took 96630ms
Step 2 took 30172ms
********** Factor found in step 2: 240045542017051185533634525857177675737279319
Found probable prime factor of 45 digits: 240045542017051185533634525857177675737279319

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 27, 2010 20:58:04 UTC 2010 年 12 月 28 日 (火) 5 時 58 分 4 秒 (日本時間)
403e62210110Ignacio SantosDecember 27, 2010 20:58:04 UTC 2010 年 12 月 28 日 (火) 5 時 58 分 4 秒 (日本時間)
2100Warut RoonguthaiFebruary 5, 2013 04:17:03 UTC 2013 年 2 月 5 日 (火) 13 時 17 分 3 秒 (日本時間)
4511e61032 / 397332Ignacio SantosDecember 27, 2010 20:58:04 UTC 2010 年 12 月 28 日 (火) 5 時 58 分 4 秒 (日本時間)
1000Dmitry DomanovMarch 20, 2014 08:58:08 UTC 2014 年 3 月 20 日 (木) 17 時 58 分 8 秒 (日本時間)

86×10199-239

c181

composite cofactor 合成数の残り
5328010084671568507575581398199672539127026087701122254363513525816635130829355072620614526850712927756047209018464872024508166770550476852359631436129365502006591374167795646044503<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 27, 2010 21:38:59 UTC 2010 年 12 月 28 日 (火) 6 時 38 分 59 秒 (日本時間)
403e62210110Ignacio SantosDecember 27, 2010 21:38:59 UTC 2010 年 12 月 28 日 (火) 6 時 38 分 59 秒 (日本時間)
2100Warut RoonguthaiFebruary 5, 2013 04:19:12 UTC 2013 年 2 月 5 日 (火) 13 時 19 分 12 秒 (日本時間)
4511e61032 / 397332Ignacio SantosDecember 27, 2010 21:38:59 UTC 2010 年 12 月 28 日 (火) 6 時 38 分 59 秒 (日本時間)
1000Dmitry DomanovMarch 20, 2014 08:58:21 UTC 2014 年 3 月 20 日 (木) 17 時 58 分 21 秒 (日本時間)

86×10200-239

c199

name 名前Robert Backstrom
date 日付October 16, 2010 23:30:27 UTC 2010 年 10 月 17 日 (日) 8 時 30 分 27 秒 (日本時間)
composite number 合成数
2494923121554975340876124165941398317377429648970118944009283434870902233826515810850014505366985784740353930954453147664635915288656803017116333043225993617638526254714244270380040615027560197272991<199>
prime factors 素因数
1375366054386704952980144338211141544530630413951956597530206245766643189649308587<82>
1814006615618775478282667306937201100845100437959436468125981057433611623343636932343719134350339867558138028274211293<118>
factorization results 素因数分解の結果
Number: n
N=2494923121554975340876124165941398317377429648970118944009283434870902233826515810850014505366985784740353930954453147664635915288656803017116333043225993617638526254714244270380040615027560197272991
  ( 199 digits)
SNFS difficulty: 201 digits.
Divisors found:

Sun Oct 17 10:08:44 2010  prp82 factor: 1375366054386704952980144338211141544530630413951956597530206245766643189649308587
Sun Oct 17 10:08:44 2010  prp118 factor: 1814006615618775478282667306937201100845100437959436468125981057433611623343636932343719134350339867558138028274211293
Sun Oct 17 10:08:44 2010  elapsed time 14:42:44 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.096).
Factorization parameters were as follows:
name: KA_9_5_199_3
n: 2494923121554975340876124165941398317377429648970118944009283434870902233826515810850014505366985784740353930954453147664635915288656803017116333043225993617638526254714244270380040615027560197272991
m: 10000000000000000000000000000000000000000
deg: 5
c5: 86
c0: -23
skew: 0.77
type: snfs
lss: 1
rlim: 16200000
alim: 16200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16200000/16200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 9200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5758176 hash collisions in 41162349 relations
Msieve: matrix is 3017736 x 3017963 (861.8 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16200000,16200000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 4015340k/5242880k available (3972k kernel code, 1049604k absent, 177936k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.05 BogoMIPS (lpj=2830525)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830446)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.93 BogoMIPS (lpj=2830468)
Total of 4 processors activated (22643.79 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 30, 2010 09:00:00 UTC 2010 年 9 月 30 日 (木) 18 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 1, 2010 06:30:15 UTC 2010 年 10 月 1 日 (金) 15 時 30 分 15 秒 (日本時間)
403e62126110Ignacio SantosOctober 1, 2010 06:30:15 UTC 2010 年 10 月 1 日 (金) 15 時 30 分 15 秒 (日本時間)
2016Wataru SakaiOctober 4, 2010 01:53:31 UTC 2010 年 10 月 4 日 (月) 10 時 53 分 31 秒 (日本時間)
4511e632 / 3991Ignacio SantosOctober 1, 2010 06:30:15 UTC 2010 年 10 月 1 日 (金) 15 時 30 分 15 秒 (日本時間)

86×10201-239

c200

name 名前Robert Backstrom
date 日付December 14, 2013 02:26:53 UTC 2013 年 12 月 14 日 (土) 11 時 26 分 53 秒 (日本時間)
composite number 合成数
89304257528556593977154724818276220145379023883696780893042575285565939771547248182762201453790238836967808930425752855659397715472481827622014537902388369678089304257528556593977154724818276220145379<200>
prime factors 素因数
173979189319314671760318224180907075486533017007911179719853660233978181704440160369<84>
513304251376013802638469611825777751665036869383263041947261059434370873688044761636239727756379092080198578347462291<117>
factorization results 素因数分解の結果
Number: n
N=89304257528556593977154724818276220145379023883696780893042575285565939771547248182762201453790238836967808930425752855659397715472481827622014537902388369678089304257528556593977154724818276220145379
  ( 200 digits)
SNFS difficulty: 202 digits.
Divisors found:

Sat Dec 14 08:44:57 2013  prp84 factor: 173979189319314671760318224180907075486533017007911179719853660233978181704440160369
Sat Dec 14 08:44:57 2013  prp117 factor: 513304251376013802638469611825777751665036869383263041947261059434370873688044761636239727756379092080198578347462291
Sat Dec 14 08:44:57 2013  elapsed time 07:51:39 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.276).
Factorization parameters were as follows:
#
#  86*10^201-23 - 95(200)3
#
#  c200, diff: 202.93
#
skew: 0.485
n: 89304257528556593977154724818276220145379023883696780893042575285565939771547248182762201453790238836967808930425752855659397715472481827622014537902388369678089304257528556593977154724818276220145379
m: 10000000000000000000000000000000000000000
deg: 5
c5: 860
c0: -23
# Murphy_E = 1.162e-11
type: snfs
lss: 1
rlim: 16900000
alim: 16900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16900000/16900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 20450000)
Primes: RFBsize:1085243, AFBsize:1085450,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 7259046 hash collisions in 53173833 relations (47905074 unique)
Msieve: matrix is 2228720 x 2228945 (634.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 6hrs 51min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 26min 32sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16900000,16900000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 5, 2013 13:22:22 UTC 2013 年 2 月 5 日 (火) 22 時 22 分 22 秒 (日本時間)
403e61000Dmitry DomanovFebruary 16, 2013 06:59:05 UTC 2013 年 2 月 16 日 (土) 15 時 59 分 5 秒 (日本時間)
4511e61850 / 41941000Dmitry DomanovFebruary 22, 2013 09:14:19 UTC 2013 年 2 月 22 日 (金) 18 時 14 分 19 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:13:35 UTC 2013 年 11 月 9 日 (土) 2 時 13 分 35 秒 (日本時間)

86×10202-239

c187

name 名前Warut Roonguthai
date 日付February 2, 2013 17:05:19 UTC 2013 年 2 月 3 日 (日) 2 時 5 分 19 秒 (日本時間)
composite number 合成数
1716787402443897387899361177535854715186546939767798506346793494733455817299428316812393506422055784431099009264961622884975367129983497239721426488708598963694534437429124491395980273557<187>
prime factors 素因数
9923937416799174042902300573<28>
composite cofactor 合成数の残り
172994581720933800034884267385313650022263861099633398603192356349917735325847436918257855133714513814272981297592117916370518028686185828006004719990623070809<159>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1052865773
Step 1 took 10514ms
Step 2 took 6599ms
********** Factor found in step 2: 9923937416799174042902300573
Found probable prime factor of 28 digits: 9923937416799174042902300573
Composite cofactor 172994581720933800034884267385313650022263861099633398603192356349917735325847436918257855133714513814272981297592117916370518028686185828006004719990623070809 has 159 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 5, 2013 13:22:31 UTC 2013 年 2 月 5 日 (火) 22 時 22 分 31 秒 (日本時間)
403e61000Dmitry DomanovFebruary 14, 2013 23:30:52 UTC 2013 年 2 月 15 日 (金) 8 時 30 分 52 秒 (日本時間)
4511e61000 / 3492Dmitry DomanovFebruary 14, 2013 23:30:52 UTC 2013 年 2 月 15 日 (金) 8 時 30 分 52 秒 (日本時間)
5043e6200 / 7283Dmitry DomanovSeptember 2, 2014 10:26:15 UTC 2014 年 9 月 2 日 (火) 19 時 26 分 15 秒 (日本時間)

86×10203-239

c174

composite cofactor 合成数の残り
761924608348983785274580797176730268093282093128280398633988093732527581970491625273674048693058967658027593820143491904310985679200716156207736203095933059793697526634913801<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 5, 2013 13:22:43 UTC 2013 年 2 月 5 日 (火) 22 時 22 分 43 秒 (日本時間)
403e61000Dmitry DomanovFebruary 16, 2013 06:59:26 UTC 2013 年 2 月 16 日 (土) 15 時 59 分 26 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovFebruary 19, 2013 16:11:24 UTC 2013 年 2 月 20 日 (水) 1 時 11 分 24 秒 (日本時間)

86×10204-239

c200

name 名前Bob Backstrom
date 日付July 28, 2017 01:43:54 UTC 2017 年 7 月 28 日 (金) 10 時 43 分 54 秒 (日本時間)
composite number 合成数
20555638017126670773013889157785316438511035628896159848289830671736738685495631090354697094747389135198016524342775302735549087700151561977519302580664745431569205455275114508049802964648843972429631<200>
prime factors 素因数
2114165931415798827791668348977705198611412994932660945801406982075389750684933271<82>
9722812061095471751394757054533090833504712959720043776873455215235222108739560159845988409962511467854349721825163161<118>
factorization results 素因数分解の結果
Number: n
N=20555638017126670773013889157785316438511035628896159848289830671736738685495631090354697094747389135198016524342775302735549087700151561977519302580664745431569205455275114508049802964648843972429631
  ( 200 digits)
SNFS difficulty: 206 digits.
Divisors found:

Fri Jul 28 11:34:36 2017  prp82 factor: 2114165931415798827791668348977705198611412994932660945801406982075389750684933271
Fri Jul 28 11:34:36 2017  prp118 factor: 9722812061095471751394757054533090833504712959720043776873455215235222108739560159845988409962511467854349721825163161
Fri Jul 28 11:34:36 2017  elapsed time 08:23:55 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=4.394).
Factorization parameters were as follows:
#
# N = (86*10^204-23)/9 or 9(5)<203>3<205>
#
n: 20555638017126670773013889157785316438511035628896159848289830671736738685495631090354697094747389135198016524342775302735549087700151561977519302580664745431569205455275114508049802964648843972429631
m: 100000000000000000000000000000000000000000
deg: 5
c5: 43
c0: -115
skew: 1.22
# Murphy_E = 7.303e-12
type: snfs
lss: 1
rlim: 19500000
alim: 19500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19500000/19500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 21750000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 6370719 hash collisions in 46972824 relations (42262295 unique)
Msieve: matrix is 3067319 x 3067544 (872.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 8hrs 10min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 23sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19500000,19500000,29,29,56,56,2.6,2.6,100000total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.050273] smpboot: CPU0: Intel(R) Core(TM) i7-6700K CPU @ 4.00GHz (family: 0x6, model: 0x5e, stepping: 0x3)
[    0.000000] Memory: 16339156K/16705272K available (7836K kernel code, 1309K rwdata, 3448K rodata, 1528K init, 1544K bss, 366116K reserved, 0K cma-reserved)
[    0.000018] Calibrating delay loop (skipped), value calculated using timer frequency.. 8016.72 BogoMIPS (lpj=4008360)
[    0.074633] smpboot: Total of 8 processors activated (64133.76 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 5, 2013 13:22:51 UTC 2013 年 2 月 5 日 (火) 22 時 22 分 51 秒 (日本時間)
403e61000Dmitry DomanovFebruary 16, 2013 06:59:36 UTC 2013 年 2 月 16 日 (土) 15 時 59 分 36 秒 (日本時間)
4511e62000 / 41941000Dmitry DomanovFebruary 22, 2013 09:14:38 UTC 2013 年 2 月 22 日 (金) 18 時 14 分 38 秒 (日本時間)
1000Dmitry DomanovMarch 20, 2014 08:58:58 UTC 2014 年 3 月 20 日 (木) 17 時 58 分 58 秒 (日本時間)

86×10205-239

c169

composite cofactor 合成数の残り
1302058927547691146864821555429117928542831941630319170638998050621096716075578833004993209892947182272672988937629240267056637685555061404403066724945066380165081366291<169>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 5, 2013 08:35:02 UTC 2013 年 2 月 5 日 (火) 17 時 35 分 2 秒 (日本時間)
403e62400Warut RoonguthaiFebruary 5, 2013 08:35:02 UTC 2013 年 2 月 5 日 (火) 17 時 35 分 2 秒 (日本時間)
4511e61000 / 3183Dmitry DomanovFebruary 15, 2013 16:25:09 UTC 2013 年 2 月 16 日 (土) 1 時 25 分 9 秒 (日本時間)
5043e6200 / 7230Dmitry DomanovSeptember 2, 2014 10:26:32 UTC 2014 年 9 月 2 日 (火) 19 時 26 分 32 秒 (日本時間)

86×10206-239

c160

name 名前Youcef Lemsafer
date 日付February 2, 2013 20:20:26 UTC 2013 年 2 月 3 日 (日) 5 時 20 分 26 秒 (日本時間)
composite number 合成数
3933025389644729054034061152013497193614979820269267492473830658916118120220113244829326943507436575820545353334292269827761706546431428471435823175035582957281<160>
prime factors 素因数
1601631477260544456249355938192128333<37>
composite cofactor 合成数の残り
2455636921154819728649686188516765487048485241054253721186992800530904714264954578984585329673827827380688909006030348573157<124>
factorization results 素因数分解の結果
GMP-ECM 6.4.2 [configured with GMP 5.0.5, --enable-asm-redc] [ECM]
Input number is (86*10^206-23)/(9*29*241*163849121*200540099*1057958934268513903076765623) (160 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3716942666
Step 1 took 7363ms
Step 2 took 4166ms
********** Factor found in step 2: 1601631477260544456249355938192128333
Found probable prime factor of 37 digits: 1601631477260544456249355938192128333
Composite cofactor ((86*10^206-23)/(9*29*241*163849121*200540099*1057958934268513903076765623))/1601631477260544456249355938192128333 has 124 digits

c124

name 名前Youcef Lemsafer
date 日付February 3, 2013 16:59:28 UTC 2013 年 2 月 4 日 (月) 1 時 59 分 28 秒 (日本時間)
composite number 合成数
2455636921154819728649686188516765487048485241054253721186992800530904714264954578984585329673827827380688909006030348573157<124>
prime factors 素因数
90993835941658710287829888533519012020831<41>
26986849117222262301549441377837386566202585676477265276145811690347853846688281147<83>
factorization results 素因数分解の結果
GMP-ECM 6.4.2 [configured with GMP 5.0.5, --enable-asm-redc] [ECM]
Input number is (10^206*86-23)/3502146398725611376673801507244033493333078668693048670083622071504401129969834958261 (124 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2176418415
Step 1 took 10625ms
Step 2 took 4968ms
********** Factor found in step 2: 90993835941658710287829888533519012020831
Found probable prime factor of 41 digits: 90993835941658710287829888533519012020831
Probable prime cofactor ((10^206*86-23)/3502146398725611376673801507244033493333078668693048670083622071504401129969834958261)/90993835941658710287829888533519012020831 has 83 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 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)

86×10207-239

c193

name 名前Warut Roonguthai
date 日付February 2, 2013 16:55:54 UTC 2013 年 2 月 3 日 (日) 1 時 55 分 54 秒 (日本時間)
composite number 合成数
1715780042794636280041530283777444173674479432127514377895477676422609446291909908427974126814011991775190156387893225382897054929716794987986486290799470789502620640593277336984297881730158341<193>
prime factors 素因数
102567475868092006071253849213<30>
composite cofactor 合成数の残り
16728305228074769671670866648500813347934811014406864362864769387363992319631551511560317712438245434679769792908932031927467398906527576386094053858865259783836457<164>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3693377018
Step 1 took 10514ms
Step 2 took 6474ms
********** Factor found in step 2: 102567475868092006071253849213
Found probable prime factor of 30 digits: 102567475868092006071253849213
Composite cofactor 16728305228074769671670866648500813347934811014406864362864769387363992319631551511560317712438245434679769792908932031927467398906527576386094053858865259783836457 has 164 digits
software ソフトウェア
GMP-ECM 6.3

c164

name 名前Dmitry Domanov
date 日付February 16, 2013 13:11:27 UTC 2013 年 2 月 16 日 (土) 22 時 11 分 27 秒 (日本時間)
composite number 合成数
16728305228074769671670866648500813347934811014406864362864769387363992319631551511560317712438245434679769792908932031927467398906527576386094053858865259783836457<164>
prime factors 素因数
1192041370370544366469829331326925172537<40>
2706632003333070872227012699681354820986741<43>
5184792776878711612576981974990656269922179528125490364731551034789104179280148621<82>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2884261400
Step 1 took 72846ms
Step 2 took 21640ms
********** Factor found in step 2: 1192041370370544366469829331326925172537
Found probable prime factor of 40 digits: 1192041370370544366469829331326925172537
Composite cofactor 14033326060550062752519904435269022112839682851497493973458997505897958659639522610785793523631753143227846919201776350434161 has 125 digits

Sat Feb 16 15:41:21 2013  commencing relation filtering
Sat Feb 16 15:41:21 2013  estimated available RAM is 48289.8 MB
Sat Feb 16 15:41:21 2013  commencing duplicate removal, pass 1
Sat Feb 16 15:43:41 2013  found 1298928 hash collisions in 11391707 relations
Sat Feb 16 15:44:01 2013  added 79 free relations
Sat Feb 16 15:44:01 2013  commencing duplicate removal, pass 2
Sat Feb 16 15:44:05 2013  found 1021789 duplicates and 10369997 unique relations
Sat Feb 16 15:44:05 2013  memory use: 49.3 MB
Sat Feb 16 15:44:06 2013  reading ideals above 720000
Sat Feb 16 15:44:06 2013  commencing singleton removal, initial pass
Sat Feb 16 15:46:26 2013  memory use: 344.5 MB
Sat Feb 16 15:46:26 2013  reading all ideals from disk
Sat Feb 16 15:46:27 2013  memory use: 301.9 MB
Sat Feb 16 15:46:28 2013  commencing in-memory singleton removal
Sat Feb 16 15:46:28 2013  begin with 10369997 relations and 11214511 unique ideals
Sat Feb 16 15:46:38 2013  reduce to 4103211 relations and 3887240 ideals in 18 passes
Sat Feb 16 15:46:38 2013  max relations containing the same ideal: 77
Sat Feb 16 15:46:40 2013  removing 453870 relations and 413167 ideals in 40703 cliques
Sat Feb 16 15:46:40 2013  commencing in-memory singleton removal
Sat Feb 16 15:46:41 2013  begin with 3649341 relations and 3887240 unique ideals
Sat Feb 16 15:46:45 2013  reduce to 3610728 relations and 3434946 ideals in 14 passes
Sat Feb 16 15:46:45 2013  max relations containing the same ideal: 73
Sat Feb 16 15:46:47 2013  removing 331790 relations and 291087 ideals in 40703 cliques
Sat Feb 16 15:46:47 2013  commencing in-memory singleton removal
Sat Feb 16 15:46:47 2013  begin with 3278938 relations and 3434946 unique ideals
Sat Feb 16 15:46:50 2013  reduce to 3255001 relations and 3119609 ideals in 10 passes
Sat Feb 16 15:46:50 2013  max relations containing the same ideal: 66
Sat Feb 16 15:46:52 2013  relations with 0 large ideals: 496
Sat Feb 16 15:46:52 2013  relations with 1 large ideals: 2818
Sat Feb 16 15:46:52 2013  relations with 2 large ideals: 36676
Sat Feb 16 15:46:52 2013  relations with 3 large ideals: 202607
Sat Feb 16 15:46:52 2013  relations with 4 large ideals: 581498
Sat Feb 16 15:46:52 2013  relations with 5 large ideals: 936832
Sat Feb 16 15:46:52 2013  relations with 6 large ideals: 868340
Sat Feb 16 15:46:52 2013  relations with 7+ large ideals: 625734
Sat Feb 16 15:46:52 2013  commencing 2-way merge
Sat Feb 16 15:46:54 2013  reduce to 1872105 relation sets and 1736714 unique ideals
Sat Feb 16 15:46:54 2013  ignored 1 oversize relation sets
Sat Feb 16 15:46:54 2013  commencing full merge
Sat Feb 16 15:47:22 2013  memory use: 192.5 MB
Sat Feb 16 15:47:22 2013  found 923635 cycles, need 906914
Sat Feb 16 15:47:23 2013  weight of 906914 cycles is about 63684896 (70.22/cycle)
Sat Feb 16 15:47:23 2013  distribution of cycle lengths:
Sat Feb 16 15:47:23 2013  1 relations: 117626
Sat Feb 16 15:47:23 2013  2 relations: 108200
Sat Feb 16 15:47:23 2013  3 relations: 104540
Sat Feb 16 15:47:23 2013  4 relations: 91755
Sat Feb 16 15:47:23 2013  5 relations: 82512
Sat Feb 16 15:47:23 2013  6 relations: 68609
Sat Feb 16 15:47:23 2013  7 relations: 60339
Sat Feb 16 15:47:23 2013  8 relations: 51239
Sat Feb 16 15:47:23 2013  9 relations: 42916
Sat Feb 16 15:47:23 2013  10+ relations: 179178
Sat Feb 16 15:47:23 2013  heaviest cycle: 22 relations
Sat Feb 16 15:47:23 2013  commencing cycle optimization
Sat Feb 16 15:47:24 2013  start with 5384644 relations
Sat Feb 16 15:47:32 2013  pruned 111925 relations
Sat Feb 16 15:47:32 2013  memory use: 183.1 MB
Sat Feb 16 15:47:32 2013  distribution of cycle lengths:
Sat Feb 16 15:47:32 2013  1 relations: 117626
Sat Feb 16 15:47:32 2013  2 relations: 110554
Sat Feb 16 15:47:32 2013  3 relations: 107872
Sat Feb 16 15:47:32 2013  4 relations: 93474
Sat Feb 16 15:47:32 2013  5 relations: 83814
Sat Feb 16 15:47:32 2013  6 relations: 69322
Sat Feb 16 15:47:32 2013  7 relations: 60673
Sat Feb 16 15:47:32 2013  8 relations: 51114
Sat Feb 16 15:47:32 2013  9 relations: 42457
Sat Feb 16 15:47:32 2013  10+ relations: 170008
Sat Feb 16 15:47:32 2013  heaviest cycle: 22 relations
Sat Feb 16 15:47:33 2013  RelProcTime: 372
Sat Feb 16 15:47:33 2013  
Sat Feb 16 15:47:33 2013  commencing linear algebra
Sat Feb 16 15:47:33 2013  read 906914 cycles
Sat Feb 16 15:47:35 2013  cycles contain 3109837 unique relations
Sat Feb 16 15:48:13 2013  read 3109837 relations
Sat Feb 16 15:48:16 2013  using 20 quadratic characters above 134217690
Sat Feb 16 15:48:33 2013  building initial matrix
Sat Feb 16 15:49:05 2013  memory use: 389.0 MB
Sat Feb 16 15:49:06 2013  read 906914 cycles
Sat Feb 16 15:49:06 2013  matrix is 906728 x 906914 (272.9 MB) with weight 84757000 (93.46/col)
Sat Feb 16 15:49:06 2013  sparse part has weight 61560189 (67.88/col)
Sat Feb 16 15:49:15 2013  filtering completed in 2 passes
Sat Feb 16 15:49:15 2013  matrix is 903482 x 903666 (272.6 MB) with weight 84615826 (93.64/col)
Sat Feb 16 15:49:15 2013  sparse part has weight 61508388 (68.07/col)
Sat Feb 16 15:49:18 2013  matrix starts at (0, 0)
Sat Feb 16 15:49:18 2013  matrix is 903482 x 903666 (272.6 MB) with weight 84615826 (93.64/col)
Sat Feb 16 15:49:18 2013  sparse part has weight 61508388 (68.07/col)
Sat Feb 16 15:49:18 2013  saving the first 48 matrix rows for later
Sat Feb 16 15:49:18 2013  matrix includes 64 packed rows
Sat Feb 16 15:49:18 2013  matrix is 903434 x 903666 (262.1 MB) with weight 67936614 (75.18/col)
Sat Feb 16 15:49:18 2013  sparse part has weight 59665215 (66.03/col)
Sat Feb 16 15:49:18 2013  using block size 262144 for processor cache size 12288 kB
Sat Feb 16 15:49:20 2013  commencing Lanczos iteration (16 threads)
Sat Feb 16 15:49:20 2013  memory use: 384.8 MB
Sat Feb 16 15:49:30 2013  linear algebra at 0.3%, ETA 0h44m
Sat Feb 16 16:37:34 2013  lanczos halted after 14288 iterations (dim = 903433)
Sat Feb 16 16:37:35 2013  recovered 28 nontrivial dependencies
Sat Feb 16 16:37:35 2013  BLanczosTime: 3002
Sat Feb 16 16:37:35 2013  
Sat Feb 16 16:37:35 2013  commencing square root phase
Sat Feb 16 16:37:35 2013  reading relations for dependency 1
Sat Feb 16 16:37:36 2013  read 451194 cycles
Sat Feb 16 16:37:36 2013  cycles contain 1553196 unique relations
Sat Feb 16 16:37:56 2013  read 1553196 relations
Sat Feb 16 16:38:03 2013  multiplying 1553196 relations
Sat Feb 16 16:39:47 2013  multiply complete, coefficients have about 64.73 million bits
Sat Feb 16 16:39:47 2013  initial square root is modulo 1963390379
Sat Feb 16 16:41:58 2013  sqrtTime: 263

prp43 = 2706632003333070872227012699681354820986741
prp82 = 5184792776878711612576981974990656269922179528125490364731551034789104179280148621
NFS elapsed time = 21898.6027 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 5, 2013 13:23:18 UTC 2013 年 2 月 5 日 (火) 22 時 23 分 18 秒 (日本時間)
403e61000Dmitry DomanovFebruary 15, 2013 16:24:44 UTC 2013 年 2 月 16 日 (土) 1 時 24 分 44 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovFebruary 15, 2013 16:24:44 UTC 2013 年 2 月 16 日 (土) 1 時 24 分 44 秒 (日本時間)

86×10208-239

c203

composite cofactor 合成数の残り
12876869858132979345186312360490906406912052191690415133364618137846801992686626683386832984317754312227889093077114767213818342732774540068529204074535095961204207136909291001492114781363402082192850681<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 5, 2013 13:23:25 UTC 2013 年 2 月 5 日 (火) 22 時 23 分 25 秒 (日本時間)
403e61000Dmitry DomanovFebruary 16, 2013 06:59:49 UTC 2013 年 2 月 16 日 (土) 15 時 59 分 49 秒 (日本時間)
4511e62000 / 41941000Dmitry DomanovFebruary 22, 2013 09:14:56 UTC 2013 年 2 月 22 日 (金) 18 時 14 分 56 秒 (日本時間)
1000Dmitry DomanovMarch 20, 2014 08:59:18 UTC 2014 年 3 月 20 日 (木) 17 時 59 分 18 秒 (日本時間)

86×10209-239

c195

composite cofactor 合成数の残り
165934400067092586830371631332448751832306210056307790962692625053488160441255046629296650619910709720171243857854995076359459581073458088193356757713116874338035396968419496488712253347097254213<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 5, 2013 13:23:34 UTC 2013 年 2 月 5 日 (火) 22 時 23 分 34 秒 (日本時間)
403e61000Dmitry DomanovFebruary 16, 2013 06:59:58 UTC 2013 年 2 月 16 日 (土) 15 時 59 分 58 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovFebruary 22, 2013 09:15:09 UTC 2013 年 2 月 22 日 (金) 18 時 15 分 9 秒 (日本時間)

86×10211-239

c205

name 名前Warut Roonguthai
date 日付February 3, 2013 05:03:24 UTC 2013 年 2 月 3 日 (日) 14 時 3 分 24 秒 (日本時間)
composite number 合成数
1399993585099161114239201429073079761188247746035967407752131409245312474327515889524285744883248503570868405390653159990881092946471087367480371752147759868066818483598934337255058851994288175939551037913<205>
prime factors 素因数
360594740861050937245686957147965179<36>
3882457025735228010851686809158562212171184310626621151253532085198739639963690698843109000756847320586155505939405386368456089908067221902204973397734626856741151615547<169>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1538900535
Step 1 took 12184ms
Step 2 took 7332ms
********** Factor found in step 2: 360594740861050937245686957147965179
Found probable prime factor of 36 digits: 360594740861050937245686957147965179
Probable prime cofactor 3882457025735228010851686809158562212171184310626621151253532085198739639963690698843109000756847320586155505939405386368456089908067221902204973397734626856741151615547 has 169 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)

86×10212-239

c193

composite cofactor 合成数の残り
7049365014425941121500588592971824190029787688494312973726579742933372776908622374384835740191752360607932028841495855210576279579582058735182361269610675351193367677675972477092083818545717329<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 5, 2013 13:23:57 UTC 2013 年 2 月 5 日 (火) 22 時 23 分 57 秒 (日本時間)
403e61000Dmitry DomanovFebruary 16, 2013 07:00:07 UTC 2013 年 2 月 16 日 (土) 16 時 0 分 7 秒 (日本時間)
4511e641941000Dmitry DomanovFebruary 22, 2013 09:15:22 UTC 2013 年 2 月 22 日 (金) 18 時 15 分 22 秒 (日本時間)
3194yas matSeptember 3, 2014 07:15:06 UTC 2014 年 9 月 3 日 (水) 16 時 15 分 6 秒 (日本時間)

86×10214-239

c213

name 名前Bob Backstrom
date 日付October 5, 2017 15:23:44 UTC 2017 年 10 月 6 日 (金) 0 時 23 分 44 秒 (日本時間)
composite number 合成数
357885975863503953391593841032043279234290470245526425301706200582605076987099459009571369121930919683728672492717436537661256762380357885975863503953391593841032043279234290470245526425301706200582605076987099459<213>
prime factors 素因数
8014366673799369864122582237631918356703884960867951<52>
58963983327304447063845361826633985116570841170248306084212096648640413487<74>
757336097268494905340321544004284325597647055448111525068555775134638938284013082185507<87>
factorization results 素因数分解の結果
Number: n
N=357885975863503953391593841032043279234290470245526425301706200582605076987099459009571369121930919683728672492717436537661256762380357885975863503953391593841032043279234290470245526425301706200582605076987099459
  ( 213 digits)
SNFS difficulty: 217 digits.
Divisors found:

Fri Oct  6 01:57:02 2017  found factor: 757336097268494905340321544004284325597647055448111525068555775134638938284013082185507
Fri Oct  6 02:18:24 2017  p52 factor: 8014366673799369864122582237631918356703884960867951
Fri Oct  6 02:18:24 2017  p74 factor: 58963983327304447063845361826633985116570841170248306084212096648640413487
Fri Oct  6 02:18:24 2017  p87 factor: 757336097268494905340321544004284325597647055448111525068555775134638938284013082185507
Fri Oct  6 02:18:24 2017  elapsed time 07:55:12 (Msieve 1.53 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.738).
Factorization parameters were as follows:
#
# 86x10^214-23 95(213)3
#
n: 357885975863503953391593841032043279234290470245526425301706200582605076987099459009571369121930919683728672492717436537661256762380357885975863503953391593841032043279234290470245526425301706200582605076987099459
m: 1000000000000000000000000000000000000
deg: 6
c6: 43
c0: -1150
skew: 1.73
# Murphy_E = 2.284e-12
type: snfs
lss: 1
rlim: 30000000
alim: 30000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 30000000/30000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 74212643)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 13071229 hash collisions in 65695356 relations (54306718 unique)
Msieve: matrix is 4390757 x 4390984 (1252.0 MB)

Sieving start time: 2017/10/03 21:35:19
Sieving end time  : 2017/10/05 18:21:16

Total sieving time: 44hrs 45min 57secs.

Total relation processing time: 7hrs 7min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 28min 50sec.

Prototype def-par.txt line would be:
snfs,217,6,0,0,0,0,0,0,0,0,30000000,30000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.178577] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16306368K/16703460K available (9091K kernel code, 1667K rwdata, 3820K rodata, 2232K init, 2364K bss, 397092K reserved, 0K cma-reserved)
[    0.215024] x86/mm: Memory block size: 128MB
[    0.000018] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.38 BogoMIPS (lpj=11976772)
[    0.212835] smpboot: Total of 16 processors activated (95814.17 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 5, 2013 13:24:05 UTC 2013 年 2 月 5 日 (火) 22 時 24 分 5 秒 (日本時間)
403e61000Dmitry DomanovFebruary 16, 2013 07:00:16 UTC 2013 年 2 月 16 日 (土) 16 時 0 分 16 秒 (日本時間)
4511e650501000Dmitry DomanovFebruary 22, 2013 09:15:35 UTC 2013 年 2 月 22 日 (金) 18 時 15 分 35 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:14:38 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 38 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:52 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 52 秒 (日本時間)
1000Dmitry DomanovMarch 20, 2014 08:59:55 UTC 2014 年 3 月 20 日 (木) 17 時 59 分 55 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:21 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 21 秒 (日本時間)

86×10215-239

c194

name 名前Warut Roonguthai
date 日付February 2, 2013 21:09:15 UTC 2013 年 2 月 3 日 (日) 6 時 9 分 15 秒 (日本時間)
composite number 合成数
25871278743069822514666083787093865166078990846225027837801270626765973079050172358042875404494819793174980122195785839237528235308222410728738261036341235992185453162149343087451542059804066977<194>
prime factors 素因数
105424548080109244782614869498913<33>
composite cofactor 合成数の残り
245400897743578107894305073484632623010623771647798695088009847559903819058148316835405996926742626450128056425355773829052478936506200224242300515877397349734529<162>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1531426971
Step 1 took 12464ms
Step 2 took 7129ms
********** Factor found in step 2: 105424548080109244782614869498913
Found probable prime factor of 33 digits: 105424548080109244782614869498913
Composite cofactor 245400897743578107894305073484632623010623771647798695088009847559903819058148316835405996926742626450128056425355773829052478936506200224242300515877397349734529 has 162 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 5, 2013 13:24:12 UTC 2013 年 2 月 5 日 (火) 22 時 24 分 12 秒 (日本時間)
403e61000Dmitry DomanovFebruary 15, 2013 16:25:26 UTC 2013 年 2 月 16 日 (土) 1 時 25 分 26 秒 (日本時間)
4511e62000 / 38431000Dmitry DomanovFebruary 15, 2013 16:25:26 UTC 2013 年 2 月 16 日 (土) 1 時 25 分 26 秒 (日本時間)
1000Dmitry DomanovMarch 20, 2014 09:00:15 UTC 2014 年 3 月 20 日 (木) 18 時 0 分 15 秒 (日本時間)
5043e6100 / 7058Dmitry DomanovSeptember 2, 2014 10:26:53 UTC 2014 年 9 月 2 日 (火) 19 時 26 分 53 秒 (日本時間)

86×10218-239

c204

name 名前Dmitry Domanov
date 日付February 12, 2013 09:45:12 UTC 2013 年 2 月 12 日 (火) 18 時 45 分 12 秒 (日本時間)
composite number 合成数
388455739509493177406367883962240303906151811028042909733745777302437167679661876993167249836471125204283452580880611885626676997272845700425149050541908601857563712810110728080630899275533065218260847719<204>
prime factors 素因数
11419805607261319509199129982665246072739<41>
34015967772909581489955543474683997642627505279167864315625767552625113382535123369160810753383874652291391123916917912012833303137321447225851191765156207665011821<164>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3072640520
Step 1 took 26723ms
Step 2 took 10312ms
********** Factor found in step 2: 11419805607261319509199129982665246072739
Found probable prime factor of 41 digits: 11419805607261319509199129982665246072739

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 5, 2013 13:24:18 UTC 2013 年 2 月 5 日 (火) 22 時 24 分 18 秒 (日本時間)

86×10219-239

c213

name 名前Bob Backstrom
date 日付June 23, 2018 01:13:59 UTC 2018 年 6 月 23 日 (土) 10 時 13 分 59 秒 (日本時間)
composite number 合成数
200080449556946621860650792884040167192528108214711625571922113064145236090428667081982496576070960327506383421335810924887163292725168147435318893792511730001353590771589850163543549276835621042724241612097690359<213>
prime factors 素因数
3445936853622694622817836967178165977734985146249427415843395349<64>
58062715033969103734703245853347315261912007072300010014470452939596633616351648236987928188512839521533688213303436603998083884651719764957513526491<149>
factorization results 素因数分解の結果
Number: n
N=200080449556946621860650792884040167192528108214711625571922113064145236090428667081982496576070960327506383421335810924887163292725168147435318893792511730001353590771589850163543549276835621042724241612097690359
  ( 213 digits)
SNFS difficulty: 220 digits.
Divisors found:

Sat Jun 23 10:54:12 2018  p64 factor: 3445936853622694622817836967178165977734985146249427415843395349
Sat Jun 23 10:54:12 2018  p149 factor: 58062715033969103734703245853347315261912007072300010014470452939596633616351648236987928188512839521533688213303436603998083884651719764957513526491
Sat Jun 23 10:54:12 2018  elapsed time 09:38:18 (Msieve 1.53 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.119).
Factorization parameters were as follows:
#
# 86x10^219-23 = 95(218)3
#
n: 200080449556946621860650792884040167192528108214711625571922113064145236090428667081982496576070960327506383421335810924887163292725168147435318893792511730001353590771589850163543549276835621042724241612097690359
m: 1000000000000000000000000000000000000
deg: 6
c6: 86000
c0: -23
skew: 0.25
# Murphy_E = 1.923e-12
type: snfs
lss: 1
rlim: 34000000
alim: 34000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 34000000/34000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 81800000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 15100468 hash collisions in 72004731 relations (58466874 unique)
Msieve: matrix is 4744258 x 4744484 (1358.0 MB)

Total relation processing time: 9hrs 6min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 57sec.

Prototype def-par.txt line would be:
snfs,220,6,0,0,0,0,0,0,0,0,34000000,34000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.036000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16286860K/16703460K available (12300K kernel code, 2470K rwdata, 4240K rodata, 2404K init, 2416K bss, 416600K reserved, 0K cma-reserved)
[    0.068658] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.63 BogoMIPS (lpj=11977272)
[    0.066211] smpboot: Total of 16 processors activated (95818.17 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61042118Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
924Youcef LemsaferFebruary 4, 2013 15:01:50 UTC 2013 年 2 月 5 日 (火) 0 時 1 分 50 秒 (日本時間)
403e62400Youcef LemsaferFebruary 4, 2013 15:01:50 UTC 2013 年 2 月 5 日 (火) 0 時 1 分 50 秒 (日本時間)
4511e64399Youcef LemsaferFebruary 4, 2013 15:01:50 UTC 2013 年 2 月 5 日 (火) 0 時 1 分 50 秒 (日本時間)
5043e697 / 6469Youcef LemsaferFebruary 4, 2013 15:01:50 UTC 2013 年 2 月 5 日 (火) 0 時 1 分 50 秒 (日本時間)

86×10220-239

c220

name 名前Warut Roonguthai
date 日付February 2, 2013 22:57:44 UTC 2013 年 2 月 3 日 (日) 7 時 57 分 44 秒 (日本時間)
composite number 合成数
1179698216735253772290809327846364883401920438957475994513031550068587105624142661179698216735253772290809327846364883401920438957475994513031550068587105624142661179698216735253772290809327846364883401920438957475994513<220>
prime factors 素因数
2679928163316162814092452403284239<34>
composite cofactor 合成数の残り
440197701148633224889405022391283925080908163642164124879146758891999858215197305189120332100889696954943899503677451344151361784125267526703586671314328196873923043828443710600373129567<186>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4054838145
Step 1 took 13182ms
Step 2 took 7207ms
********** Factor found in step 2: 2679928163316162814092452403284239
Found probable prime factor of 34 digits: 2679928163316162814092452403284239
Composite cofactor 440197701148633224889405022391283925080908163642164124879146758891999858215197305189120332100889696954943899503677451344151361784125267526703586671314328196873923043828443710600373129567 has 186 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 5, 2013 13:24:41 UTC 2013 年 2 月 5 日 (火) 22 時 24 分 41 秒 (日本時間)
403e61000Dmitry DomanovFebruary 16, 2013 07:00:37 UTC 2013 年 2 月 16 日 (土) 16 時 0 分 37 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovFebruary 19, 2013 16:12:01 UTC 2013 年 2 月 20 日 (水) 1 時 12 分 1 秒 (日本時間)

86×10221-239

c204

name 名前Warut Roonguthai
date 日付February 2, 2013 22:59:26 UTC 2013 年 2 月 3 日 (日) 7 時 59 分 26 秒 (日本時間)
composite number 合成数
333600826730725043379121970940308475314746696438563691653590931410708990760441210739941074244879015959627926594691674570400701054791046541322232431780641297440316510846800616359139207994995978186843825837<204>
prime factors 素因数
10524147455754146776998658938160897<35>
composite cofactor 合成数の残り
31698608189713894518737141984550500267559890726632601874422364714445865896166811784266510495197072144452185571981912298995158882660181906075115550884349532801396351151021<170>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=479132503
Step 1 took 12184ms
Step 2 took 7207ms
********** Factor found in step 2: 10524147455754146776998658938160897
Found probable prime factor of 35 digits: 10524147455754146776998658938160897
Composite cofactor 31698608189713894518737141984550500267559890726632601874422364714445865896166811784266510495197072144452185571981912298995158882660181906075115550884349532801396351151021 has 170 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 5, 2013 13:24:49 UTC 2013 年 2 月 5 日 (火) 22 時 24 分 49 秒 (日本時間)
403e61000Dmitry DomanovFebruary 16, 2013 07:00:46 UTC 2013 年 2 月 16 日 (土) 16 時 0 分 46 秒 (日本時間)
4511e61000 / 3492Dmitry DomanovFebruary 19, 2013 16:12:15 UTC 2013 年 2 月 20 日 (水) 1 時 12 分 15 秒 (日本時間)
5043e6200 / 7283Dmitry DomanovSeptember 2, 2014 10:27:14 UTC 2014 年 9 月 2 日 (火) 19 時 27 分 14 秒 (日本時間)

86×10222-239

c195

composite cofactor 合成数の残り
231911692067503139179324440623339469715796979544169252433356633452941852294201936063919646810730640058784824953661091161584059282453137391802651897434433867697159358296728291977751296311189345407<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 5, 2013 13:24:56 UTC 2013 年 2 月 5 日 (火) 22 時 24 分 56 秒 (日本時間)
403e61000Dmitry DomanovFebruary 16, 2013 07:01:00 UTC 2013 年 2 月 16 日 (土) 16 時 1 分 0 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovFebruary 22, 2013 09:15:55 UTC 2013 年 2 月 22 日 (金) 18 時 15 分 55 秒 (日本時間)

86×10223-239

c166

name 名前Warut Roonguthai
date 日付February 3, 2013 23:30:46 UTC 2013 年 2 月 4 日 (月) 8 時 30 分 46 秒 (日本時間)
composite number 合成数
1605630181319156593034567109547147134708788819587599374392355872580648281046052552853056083031793119316015181408627823226501201559526395444641697845405353765664801439<166>
prime factors 素因数
190545770630879753029498219859813387<36>
1100445588897799509940929988016787646223<40>
7657334791448621011561581505118569140602205578437937221233446673200229363242924108515786739<91>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1018421549
Step 1 took 7800ms
Step 2 took 5788ms
********** Factor found in step 2: 1100445588897799509940929988016787646223
Found probable prime factor of 40 digits: 1100445588897799509940929988016787646223
Composite cofactor 1459072758815224388179470731493507094708279192432760598080415827470784808850177723107727280292070428041125790711231980029274993 has 127 digits

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=289606883
Step 1 took 10468ms
Step 2 took 7378ms
********** Factor found in step 2: 190545770630879753029498219859813387
Found probable prime factor of 36 digits: 190545770630879753029498219859813387
Probable prime cofactor 7657334791448621011561581505118569140602205578437937221233446673200229363242924108515786739 has 91 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)

86×10225-239

c185

composite cofactor 合成数の残り
72803238620698583775927427623241851448738170154527779831938311636757266027790454724050511223671149229721561921360851449449561276610264948908158389458190504044938997201904556102301471277<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 5, 2013 13:25:21 UTC 2013 年 2 月 5 日 (火) 22 時 25 分 21 秒 (日本時間)
403e61000Dmitry DomanovFebruary 16, 2013 07:01:11 UTC 2013 年 2 月 16 日 (土) 16 時 1 分 11 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovFebruary 19, 2013 16:12:33 UTC 2013 年 2 月 20 日 (水) 1 時 12 分 33 秒 (日本時間)

86×10226-239

c226

composite cofactor 合成数の残り
1027479091995221027479091995221027479091995221027479091995221027479091995221027479091995221027479091995221027479091995221027479091995221027479091995221027479091995221027479091995221027479091995221027479091995221027479091995221<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 5, 2013 13:25:28 UTC 2013 年 2 月 5 日 (火) 22 時 25 分 28 秒 (日本時間)
403e61000Dmitry DomanovFebruary 16, 2013 07:01:21 UTC 2013 年 2 月 16 日 (土) 16 時 1 分 21 秒 (日本時間)
4511e642411000Dmitry DomanovFebruary 22, 2013 09:16:11 UTC 2013 年 2 月 22 日 (金) 18 時 16 分 11 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:15:47 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 47 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:43 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 43 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:53 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 53 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:53 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 53 秒 (日本時間)
291KTakahashiAugust 19, 2014 12:05:49 UTC 2014 年 8 月 19 日 (火) 21 時 5 分 49 秒 (日本時間)

86×10228-239

c197

name 名前Dmitry Domanov
date 日付February 13, 2013 08:51:23 UTC 2013 年 2 月 13 日 (水) 17 時 51 分 23 秒 (日本時間)
composite number 合成数
25335078913508564406530873176140955201232717229716706934177206982042257748151694109391277198083740910058156779768614295902025973560342284646930901547438843172356541439002500593973414615558094060453<197>
prime factors 素因数
1926629330521045167422251973136928707623<40>
composite cofactor 合成数の残り
13149949765716920041520751406372322525055505555050694369720271659863083696138167605407656209657163131421342772315037904594511551705818910287084127802460624211<158>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2419511755
Step 1 took 26665ms
Step 2 took 9938ms
********** Factor found in step 2: 1926629330521045167422251973136928707623
Found probable prime factor of 40 digits: 1926629330521045167422251973136928707623

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 5, 2013 13:25:35 UTC 2013 年 2 月 5 日 (火) 22 時 25 分 35 秒 (日本時間)
403e61000Dmitry DomanovFebruary 16, 2013 07:01:30 UTC 2013 年 2 月 16 日 (土) 16 時 1 分 30 秒 (日本時間)
4511e641941000Dmitry DomanovFebruary 19, 2013 16:12:49 UTC 2013 年 2 月 20 日 (水) 1 時 12 分 49 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:12:20 UTC 2013 年 11 月 9 日 (土) 2 時 12 分 20 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:12 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 12 秒 (日本時間)
1000Dmitry DomanovMarch 20, 2014 09:01:12 UTC 2014 年 3 月 20 日 (木) 18 時 1 分 12 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:04 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 4 秒 (日本時間)
44KTakahashiMay 25, 2014 02:13:48 UTC 2014 年 5 月 25 日 (日) 11 時 13 分 48 秒 (日本時間)

86×10230-239

c216

composite cofactor 合成数の残り
265148128540935632530620884219021676559731832671076426475488540307232047163832577903127989297962370155589391339309603937051167698072645988792016780310276486749584901035726105743100129747232000986907291292612850393713<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 5, 2013 13:25:44 UTC 2013 年 2 月 5 日 (火) 22 時 25 分 44 秒 (日本時間)
403e61000Dmitry DomanovFebruary 16, 2013 07:01:40 UTC 2013 年 2 月 16 日 (土) 16 時 1 分 40 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovFebruary 22, 2013 09:16:30 UTC 2013 年 2 月 22 日 (金) 18 時 16 分 30 秒 (日本時間)

86×10231-239

c167

name 名前Warut Roonguthai
date 日付February 5, 2013 08:42:59 UTC 2013 年 2 月 5 日 (火) 17 時 42 分 59 秒 (日本時間)
composite number 合成数
62664435099546712344705432739992458619642193928090997936667234104549584327859647089352128642873404102232930585920073711392230603091329640313271092180447289227948364299<167>
prime factors 素因数
159336108507212984020044219403663249<36>
393284583680603426606766266229982046313151834764438180380049922944952662526165443631960767550290560211349068234428576441663024511451<132>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=416338309
Step 1 took 18939ms
Step 2 took 11138ms
********** Factor found in step 2: 159336108507212984020044219403663249
Found probable prime factor of 36 digits: 159336108507212984020044219403663249
Probable prime cofactor 393284583680603426606766266229982046313151834764438180380049922944952662526165443631960767550290560211349068234428576441663024511451 has 132 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)

86×10232-239

c210

name 名前Warut Roonguthai
date 日付February 3, 2013 01:56:58 UTC 2013 年 2 月 3 日 (日) 10 時 56 分 58 秒 (日本時間)
composite number 合成数
708183771094774887956873189449691163573163685844442317810780927886908394333925131796379154917858036735185930557422601292884957001866957006208378586853968853588839504486270801105503416682017094101155636524329949<210>
prime factors 素因数
10335204650202312778620062464103267<35>
composite cofactor 合成数の残り
68521504417516503846195105659812122702853559972758030002737208480164114267959658469262520205201798204356954665592537522226417333596114064075672110709126376173873591839536269247<176>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1050462677
Step 1 took 12121ms
Step 2 took 7317ms
********** Factor found in step 2: 10335204650202312778620062464103267
Found probable prime factor of 35 digits: 10335204650202312778620062464103267
Composite cofactor 68521504417516503846195105659812122702853559972758030002737208480164114267959658469262520205201798204356954665592537522226417333596114064075672110709126376173873591839536269247 has 176 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 5, 2013 13:25:51 UTC 2013 年 2 月 5 日 (火) 22 時 25 分 51 秒 (日本時間)
403e61000Dmitry DomanovFebruary 16, 2013 07:01:50 UTC 2013 年 2 月 16 日 (土) 16 時 1 分 50 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovFebruary 19, 2013 16:13:22 UTC 2013 年 2 月 20 日 (水) 1 時 13 分 22 秒 (日本時間)

86×10234-239

c166

name 名前Warut Roonguthai
date 日付February 5, 2013 18:08:49 UTC 2013 年 2 月 6 日 (水) 3 時 8 分 49 秒 (日本時間)
composite number 合成数
2939649006875985358456092096497260495511259609625110858766112649937948182942646203120755304381513258347665519542534672577014249358536726092367744008315376015515502577<166>
prime factors 素因数
35749726348217156166056911940182744849<38>
82228573674734885460347813850011439523430962332092846123550790767898092208549218496190447788151183964470494798546726385068661473<128>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2047098445
Step 1 took 19469ms
Step 2 took 11310ms
********** Factor found in step 2: 35749726348217156166056911940182744849
Found probable prime factor of 38 digits: 35749726348217156166056911940182744849
Probable prime cofactor 82228573674734885460347813850011439523430962332092846123550790767898092208549218496190447788151183964470494798546726385068661473 has 128 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 5, 2013 13:26:12 UTC 2013 年 2 月 5 日 (火) 22 時 26 分 12 秒 (日本時間)

86×10235-239

c234

name 名前Warut Roonguthai
date 日付February 3, 2013 01:19:11 UTC 2013 年 2 月 3 日 (日) 10 時 19 分 11 秒 (日本時間)
composite number 合成数
136703226831982196789063741853441424256874900651724686059450007947862025115243999364171037990780480050866316960737561595930694643140995072325544428548720394213956445716102368462883484342711810522969321252583055158162454299793355587347<234>
prime factors 素因数
5053028083695337423163103169009<31>
27053723938935553724766096150637499013280444938943088469404767668197807317919046685587601264156587684920764212971936390854569841028618937908965205387483777154288523020013057312990558656482233183569884483<203>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2044874256
Step 1 took 16115ms
Step 2 took 8533ms
********** Factor found in step 2: 5053028083695337423163103169009
Found probable prime factor of 31 digits: 5053028083695337423163103169009
Probable prime cofactor 27053723938935553724766096150637499013280444938943088469404767668197807317919046685587601264156587684920764212971936390854569841028618937908965205387483777154288523020013057312990558656482233183569884483 has 203 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)

86×10236-239

c215

composite cofactor 合成数の残り
31142672169803641465535809595332927466868278102267742133670420880873982557007157183820214155423892329973179850980590790846760214508615466523184820644747894537424553639632254894552329454258005768823442586665553776127<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 5, 2013 13:26:19 UTC 2013 年 2 月 5 日 (火) 22 時 26 分 19 秒 (日本時間)
403e61000Dmitry DomanovFebruary 16, 2013 07:01:59 UTC 2013 年 2 月 16 日 (土) 16 時 1 分 59 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovFebruary 22, 2013 09:16:46 UTC 2013 年 2 月 22 日 (金) 18 時 16 分 46 秒 (日本時間)

86×10237-239

c232

composite cofactor 合成数の残り
3467350041041732259051527361645375323103602443643164040773939945416653109731186430823967758805325349719545811011763468830518873209612639345641700254604288071795756310284769023888146835662082225142053500969225131530496774900804558259<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 5, 2013 13:26:26 UTC 2013 年 2 月 5 日 (火) 22 時 26 分 26 秒 (日本時間)
403e61000Dmitry DomanovFebruary 16, 2013 07:02:08 UTC 2013 年 2 月 16 日 (土) 16 時 2 分 8 秒 (日本時間)
4511e62500 / 41941000Dmitry DomanovFebruary 22, 2013 09:16:56 UTC 2013 年 2 月 22 日 (金) 18 時 16 分 56 秒 (日本時間)
1500Dmitry DomanovMarch 20, 2014 09:01:53 UTC 2014 年 3 月 20 日 (木) 18 時 1 分 53 秒 (日本時間)

86×10239-239

c183

name 名前Dmitry Domanov
date 日付February 20, 2013 08:20:48 UTC 2013 年 2 月 20 日 (水) 17 時 20 分 48 秒 (日本時間)
composite number 合成数
412210844289778801645858121830746926719703400299156553494298985807383439247640357273247728479287082405479232529159637483425709467797959762181351347784326812048629906452806357658414937<183>
prime factors 素因数
12276604598752877856359057801331863442543607<44>
composite cofactor 合成数の残り
33576942303057748549444667777176801831215488772016731024402061628357706659879905733011852857018310843567706671470179946721899259778311398191<140>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=718091171
Step 1 took 82822ms
Step 2 took 30146ms
********** Factor found in step 2: 12276604598752877856359057801331863442543607
Found probable prime factor of 44 digits: 12276604598752877856359057801331863442543607

c140

name 名前Serge Batalov
date 日付November 8, 2013 01:27:38 UTC 2013 年 11 月 8 日 (金) 10 時 27 分 38 秒 (日本時間)
composite number 合成数
33576942303057748549444667777176801831215488772016731024402061628357706659879905733011852857018310843567706671470179946721899259778311398191<140>
prime factors 素因数
207894160078115782100057608939563625649329245361<48>
161509790801440910721943419773882546447570585462697517776040187351300531206572005063150872031<93>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3010117363
Step 1 took 36237ms
Step 2 took 15303ms
********** Factor found in step 2: 207894160078115782100057608939563625649329245361
Found probable prime factor of 48 digits: 207894160078115782100057608939563625649329245361
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 5, 2013 13:26:33 UTC 2013 年 2 月 5 日 (火) 22 時 26 分 33 秒 (日本時間)
403e626001600Warut RoonguthaiFebruary 5, 2013 13:30:22 UTC 2013 年 2 月 5 日 (火) 22 時 30 分 22 秒 (日本時間)
1000Dmitry DomanovFebruary 16, 2013 07:02:17 UTC 2013 年 2 月 16 日 (土) 16 時 2 分 17 秒 (日本時間)
4511e61000 / 3840Dmitry DomanovFebruary 19, 2013 16:13:39 UTC 2013 年 2 月 20 日 (水) 1 時 13 分 39 秒 (日本時間)

86×10241-239

c207

composite cofactor 合成数の残り
532622672156213971705588959653963172088702941673731914575821944585104845154096483213609277542667642583292422789381506337450935486492083032807664399559141254496400889172642181336890823754829545720307641547869<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 5, 2013 13:26:40 UTC 2013 年 2 月 5 日 (火) 22 時 26 分 40 秒 (日本時間)
403e61000Dmitry DomanovFebruary 16, 2013 07:02:26 UTC 2013 年 2 月 16 日 (土) 16 時 2 分 26 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovFebruary 22, 2013 09:17:12 UTC 2013 年 2 月 22 日 (金) 18 時 17 分 12 秒 (日本時間)

86×10242-239

c228

composite cofactor 合成数の残り
118171825820429771253879361920434829415234135381624370805932980236349570250575752586034296949273514379535851010074099015315723449071037380411530582402916778394883750298371305018772999386003650113761569942225974058905211826731871<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 5, 2013 13:26:48 UTC 2013 年 2 月 5 日 (火) 22 時 26 分 48 秒 (日本時間)
403e61000Dmitry DomanovFebruary 16, 2013 07:02:37 UTC 2013 年 2 月 16 日 (土) 16 時 2 分 37 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovFebruary 22, 2013 09:17:24 UTC 2013 年 2 月 22 日 (金) 18 時 17 分 24 秒 (日本時間)

86×10243-239

c211

composite cofactor 合成数の残り
1048264783530751742642169083273278451223731039972612855668611776196827525921592908094878598058336607759644993812041863566008680053835462152653724172262110501213797640167654991750110343005196876470421101101290331<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 5, 2013 13:26:54 UTC 2013 年 2 月 5 日 (火) 22 時 26 分 54 秒 (日本時間)
403e61000Dmitry DomanovFebruary 16, 2013 07:02:54 UTC 2013 年 2 月 16 日 (土) 16 時 2 分 54 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovFebruary 22, 2013 09:17:36 UTC 2013 年 2 月 22 日 (金) 18 時 17 分 36 秒 (日本時間)

86×10244-239

c227

name 名前Warut Roonguthai
date 日付February 2, 2013 23:14:39 UTC 2013 年 2 月 3 日 (日) 8 時 14 分 39 秒 (日本時間)
composite number 合成数
25342449254488723884114780563080241699534856962372213817736465889289395361327097200502001464144457704219356976739624617794275193891202497482310611310786790517446545816171609954107430017596544926344377797316430587777376012524699<227>
prime factors 素因数
264297833779615341101663587070659<33>
composite cofactor 合成数の残り
95885951436213875988583493655131479689105838212701742107965323823886566357418296869973283652084784582506872974483089048241846440935845633565191648117132032571927104633026779301350534952834015561<194>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1102452561
Step 1 took 11949ms
Step 2 took 6786ms
********** Factor found in step 2: 264297833779615341101663587070659
Found probable prime factor of 33 digits: 264297833779615341101663587070659
Composite cofactor 95885951436213875988583493655131479689105838212701742107965323823886566357418296869973283652084784582506872974483089048241846440935845633565191648117132032571927104633026779301350534952834015561 has 194 digits
software ソフトウェア
GMP-ECM 6.3

c194

name 名前Warut Roonguthai
date 日付February 3, 2013 14:57:37 UTC 2013 年 2 月 3 日 (日) 23 時 57 分 37 秒 (日本時間)
composite number 合成数
95885951436213875988583493655131479689105838212701742107965323823886566357418296869973283652084784582506872974483089048241846440935845633565191648117132032571927104633026779301350534952834015561<194>
prime factors 素因数
297705720211676015869525484620108943<36>
322082999843055181480895197068174425517405728823390227773564219364257889056718612639193879300807336622367781426932876461994732745382945668608465800884488898727<159>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2973583239
Step 1 took 9938ms
Step 2 took 5756ms
********** Factor found in step 2: 297705720211676015869525484620108943
Found probable prime factor of 36 digits: 297705720211676015869525484620108943
Probable prime cofactor 322082999843055181480895197068174425517405728823390227773564219364257889056718612639193879300807336622367781426932876461994732745382945668608465800884488898727 has 159 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)

86×10246-239

c205

composite cofactor 合成数の残り
6644086945454203800416680854107259502465495482945213989153045521535633442139623497904886485950759869272611801123635963163231009322758153260827520986917451045097749239499663458355588709854433670697129727537<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 5, 2013 13:27:22 UTC 2013 年 2 月 5 日 (火) 22 時 27 分 22 秒 (日本時間)
403e61000Dmitry DomanovFebruary 16, 2013 07:46:44 UTC 2013 年 2 月 16 日 (土) 16 時 46 分 44 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovFebruary 22, 2013 09:17:50 UTC 2013 年 2 月 22 日 (金) 18 時 17 分 50 秒 (日本時間)

86×10247-239

c219

composite cofactor 合成数の残り
678491978819957008740186724431125338498980308785667267648239638220070310414219705570423283652152270887070377392661369285156986286063476981866126988680086771933418817366495337060446870550409431732064309624856057292340127<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 5, 2013 13:27:28 UTC 2013 年 2 月 5 日 (火) 22 時 27 分 28 秒 (日本時間)
403e61000Dmitry DomanovFebruary 16, 2013 07:46:54 UTC 2013 年 2 月 16 日 (土) 16 時 46 分 54 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovFebruary 22, 2013 09:18:03 UTC 2013 年 2 月 22 日 (金) 18 時 18 分 3 秒 (日本時間)

86×10248-239

c233

composite cofactor 合成数の残り
32219033428619804481910843331259352319908053271073970566434925338221983115942948352452090579178182028296050634714828435928362201232399447443054558777894745018370239368143693269079924922767663549163697535034711009413749920526052287141<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 5, 2013 13:27:35 UTC 2013 年 2 月 5 日 (火) 22 時 27 分 35 秒 (日本時間)
403e61000Dmitry DomanovFebruary 16, 2013 07:47:04 UTC 2013 年 2 月 16 日 (土) 16 時 47 分 4 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovFebruary 22, 2013 09:18:14 UTC 2013 年 2 月 22 日 (金) 18 時 18 分 14 秒 (日本時間)

86×10249-239

c206

composite cofactor 合成数の残り
81664475276457568727192587645552473408702646707734526041128151066940761531229969995425115787811328098611100098042463456254009231991253893994802740698042286212678464656737566036562825386923893028743051712447<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 5, 2013 13:27:42 UTC 2013 年 2 月 5 日 (火) 22 時 27 分 42 秒 (日本時間)
403e61000Dmitry DomanovFebruary 16, 2013 07:47:14 UTC 2013 年 2 月 16 日 (土) 16 時 47 分 14 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovFebruary 22, 2013 09:18:27 UTC 2013 年 2 月 22 日 (金) 18 時 18 分 27 秒 (日本時間)

86×10250-239

c230

composite cofactor 合成数の残り
23924740893154286545843216261618495154046473434859974933470228918759297114658251665140926422153916947498049985999981747696891212989787479449726590132144468473673655662637055566768484337568042647082564863718505580642112474918440467<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 2, 2013 13:00:00 UTC 2013 年 2 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 5, 2013 13:27:51 UTC 2013 年 2 月 5 日 (火) 22 時 27 分 51 秒 (日本時間)
403e60--
4511e6600Dmitry DomanovFebruary 10, 2013 22:56:15 UTC 2013 年 2 月 11 日 (月) 7 時 56 分 15 秒 (日本時間)
5043e61088 / 7410488Dmitry DomanovFebruary 12, 2013 16:16:28 UTC 2013 年 2 月 13 日 (水) 1 時 16 分 28 秒 (日本時間)
600Dmitry DomanovFebruary 13, 2013 16:26:57 UTC 2013 年 2 月 14 日 (木) 1 時 26 分 57 秒 (日本時間)