Table of contents 目次

2×10153-1

c141

name 名前Jo Yeong Uk
date 日付February 28, 2007 23:43:45 UTC 2007 年 3 月 1 日 (木) 8 時 43 分 45 秒 (日本時間)
composite number 合成数
127455361857190846931918977265359562320737650559762438370891685772080440799934245153725798549661033306725368901569294000250485152745554233109<141>
prime factors 素因数
353513036560672278720383066571230366372013904846573971289155955705721<69>
360539354070797054614614477395854393904128587102075385793873356333263229<72>
factorization results 素因数分解の結果
Number: 19999_153
N=127455361857190846931918977265359562320737650559762438370891685772080440799934245153725798549661033306725368901569294000250485152745554233109
  ( 141 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=353513036560672278720383066571230366372013904846573971289155955705721 (pp69)
 r2=360539354070797054614614477395854393904128587102075385793873356333263229 (pp72)
Version: GGNFS-0.77.1-20050930-k8
Total time: 18.09 hours.
Scaled time: 16.28 units (timescale=0.900).
Factorization parameters were as follows:
n: 127455361857190846931918977265359562320737650559762438370891685772080440799934245153725798549661033306725368901569294000250485152745554233109
m: 2000000000000000000000000000000
c5: 125
c0: -2
skew: 1
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2100001)
Primes: RFBsize:176302, AFBsize:176703, largePrimes:5510413 encountered
Relations: rels:5411193, finalFF:473639
Max relations in full relation-set: 28
Initial matrix: 353070 x 473639 with sparse part having weight 41868614.
Pruned matrix : 299602 x 301431 with weight 23572181.
Total sieving time: 17.27 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.69 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 18.09 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 06
Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 06
Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1297k data, 196k init)
Calibrating delay using timer specific routine.. 4671.63 BogoMIPS (lpj=2335816)
Calibrating delay using timer specific routine.. 4668.47 BogoMIPS (lpj=2334238)
Total of 2 processors activated (9340.10 BogoMIPS).
execution environment 実行環境
Core 2 Duo E6300@2.33GHz

2×10154-1

c123

name 名前Alexander Mkrtychyan
date 日付January 4, 2007 17:07:53 UTC 2007 年 1 月 5 日 (金) 2 時 7 分 53 秒 (日本時間)
composite number 合成数
187920821380939403146636817810027386486327167269514130948097401311902446918962473630297345674448684513520569852180066794063<123>
prime factors 素因数
709409658839905576587856324121<30>
264897466561486457459040040838987171311953866242931984277806029435709662518462889628767297703<93>
factorization results 素因数分解の結果
GMP-ECM B1=50000
PP30=709409658839905576587856324121
PP93=264897466561486457459040040838987171311953866242931984277806029435709662518462889628767297703
software ソフトウェア
GMP-ECM 6.1.1
execution environment 実行環境
Athlon64 3700+

2×10156-1

c152

name 名前Robert Backstrom
date 日付April 7, 2007 14:04:42 UTC 2007 年 4 月 7 日 (土) 23 時 4 分 42 秒 (日本時間)
composite number 合成数
63405509938813682909044795992771771866975240148368893256824018007164822623085946168722061947183210220968202136765684938021114034809624956408711917065593<152>
prime factors 素因数
99879751314103257507070930078903<32>
634818460244410667590194554947948312452377489168571246831381943469948522781850559392697592627523228359592226813837713231<120>
factorization results 素因数分解の結果
Number: n
N=63405509938813682909044795992771771866975240148368893256824018007164822623085946168722061947183210220968202136765684938021114034809624956408711917065593
  ( 152 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=99879751314103257507070930078903 (pp32)
 r2=634818460244410667590194554947948312452377489168571246831381943469948522781850559392697592627523228359592226813837713231 (pp120)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 21.97 hours.
Scaled time: 31.77 units (timescale=1.446).
Factorization parameters were as follows:
name: KA_1_9_156
n: 63405509938813682909044795992771771866975240148368893256824018007164822623085946168722061947183210220968202136765684938021114034809624956408711917065593
skew: 0.55
deg: 5
c5: 20
c0: -1
m: 10000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1000001)
Primes: RFBsize:216816, AFBsize:216361, largePrimes:6725175 encountered
Relations: rels:6222839, finalFF:505496
Max relations in full relation-set: 28
Initial matrix: 433243 x 505496 with sparse part having weight 30126514.
Pruned matrix : 369600 x 371830 with weight 17843621.
Total sieving time: 19.07 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 2.68 hours.
Total square root time: 0.05 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 21.97 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

2×10157-1

c145

name 名前Robert Backstrom
date 日付April 17, 2007 23:57:39 UTC 2007 年 4 月 18 日 (水) 8 時 57 分 39 秒 (日本時間)
composite number 合成数
5677788194330897959207179477750316482872150625851073181155520400292142060208311316770349874503902856555645676417079579230816761535189098741201831<145>
prime factors 素因数
904379301033768345717044160825785309<36>
6457091006561228200494377454089107772956770149<46>
972280702625490682212362702573778085813248187465970804365743191<63>
factorization results 素因数分解の結果
Number: n
N=5677788194330897959207179477750316482872150625851073181155520400292142060208311316770349874503902856555645676417079579230816761535189098741201831
  ( 145 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=904379301033768345717044160825785309 (pp36)
 r2=6457091006561228200494377454089107772956770149 (pp46)
 r3=972280702625490682212362702573778085813248187465970804365743191 (pp63)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 25.26 hours.
Scaled time: 36.63 units (timescale=1.450).
Factorization parameters were as follows:
name: KA_1_9_157
n: 5677788194330897959207179477750316482872150625851073181155520400292142060208311316770349874503902856555645676417079579230816761535189098741201831
skew: 0.35
deg: 5
c5: 200
c0: -1
m: 10000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1400001)
Primes: RFBsize:216816, AFBsize:216391, largePrimes:6772954 encountered
Relations: rels:6243826, finalFF:486214
Max relations in full relation-set: 28
Initial matrix: 433272 x 486214 with sparse part having weight 30147915.
Pruned matrix : 387238 x 389468 with weight 19941665.
Total sieving time: 21.50 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 3.35 hours.
Total square root time: 0.23 hours, sqrts: 4.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 25.26 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

2×10160-1

c157

name 名前Robert Backstrom
date 日付May 11, 2007 07:37:41 UTC 2007 年 5 月 11 日 (金) 16 時 37 分 41 秒 (日本時間)
composite number 合成数
3973773097556129545002980329823167097158752235247367375322869064176435525531492151798132326644148619113848599244983111464335386449433737333598251539837075303<157>
prime factors 素因数
3521112583666989208128791647491651766924820281<46>
1128556103542058996746525728749181096617698429611282103116231114503378579024061149030723533547291222035342709663<112>
factorization results 素因数分解の結果
Number: n
N=3973773097556129545002980329823167097158752235247367375322869064176435525531492151798132326644148619113848599244983111464335386449433737333598251539837075303
  ( 157 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=3521112583666989208128791647491651766924820281 (pp46)
 r2=1128556103542058996746525728749181096617698429611282103116231114503378579024061149030723533547291222035342709663 (pp112)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 35.80 hours.
Scaled time: 26.88 units (timescale=0.751).
Factorization parameters were as follows:
name: KA_1_9_160
n: 3973773097556129545002980329823167097158752235247367375322869064176435525531492151798132326644148619113848599244983111464335386449433737333598251539837075303
skew: 0.87
deg: 5
c5: 2
c0: -1
m: 100000000000000000000000000000000
type: snfs
rlim: 4500000
alim: 4500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1300001)
Primes: RFBsize:315948, AFBsize:315591, largePrimes:7290686 encountered
Relations: rels:6987505, finalFF:769990
Max relations in full relation-set: 28
Initial matrix: 631604 x 769990 with sparse part having weight 35494138.
Pruned matrix : 494564 x 497786 with weight 17860283.
Total sieving time: 30.25 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 5.14 hours.
Total square root time: 0.20 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,4500000,4500000,28,28,48,48,2.5,2.5,100000
total time: 35.80 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

2×10167-1

c155

name 名前Robert Backstrom
date 日付January 4, 2008 14:37:09 UTC 2008 年 1 月 4 日 (金) 23 時 37 分 9 秒 (日本時間)
composite number 合成数
31885484051733722430122978922374052186415647731414717844225369532026181178111894309739525314658565183166345642115120914615241018237573142523944303656722921<155>
prime factors 素因数
2075226395886463745978813668503914095832906194613111381<55>
15364821936988404978129042011260705176086625946572656434503802043499982149928090393044705627002582341<101>
factorization results 素因数分解の結果
Number: n
N=31885484051733722430122978922374052186415647731414717844225369532026181178111894309739525314658565183166345642115120914615241018237573142523944303656722921
  ( 155 digits)
SNFS difficulty: 167 digits.
Divisors found:

Sat Jan 05 01:30:35 2008  prp55 factor: 2075226395886463745978813668503914095832906194613111381
Sat Jan 05 01:30:35 2008  prp101 factor: 15364821936988404978129042011260705176086625946572656434503802043499982149928090393044705627002582341
Sat Jan 05 01:30:35 2008  elapsed time 02:45:45 (Msieve 1.32)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 68.62 hours.
Scaled time: 89.89 units (timescale=1.310).
Factorization parameters were as follows:
name: KA_1_9_167
n: 31885484051733722430122978922374052186415647731414717844225369532026181178111894309739525314658565183166345642115120914615241018237573142523944303656722921
skew: 0.35
deg: 5
c5: 200
c0: -1
m: 1000000000000000000000000000000000
type: snfs
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 3101069)
Primes: RFBsize:230209, AFBsize:229657, largePrimes:7516432 encountered
Relations: rels:6973016, finalFF:484541
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 68.25 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.5,2.5,100000
total time: 68.62 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

2×10168-1

c137

name 名前Jo Yeong Uk
date 日付May 9, 2009 03:13:58 UTC 2009 年 5 月 9 日 (土) 12 時 13 分 58 秒 (日本時間)
composite number 合成数
52597373177352208060513564077435320881813363520162130791000724022083971317654521522294775353936789042386457644556411844586189315400221113<137>
prime factors 素因数
636103204077055081116683110150349594823972754883063<51>
82686854649109369630282597434781951218127495551479593262504037019953021599941887782351<86>
factorization results 素因数分解の結果
Number: 19999_168
N=52597373177352208060513564077435320881813363520162130791000724022083971317654521522294775353936789042386457644556411844586189315400221113
  ( 137 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=636103204077055081116683110150349594823972754883063
 r2=82686854649109369630282597434781951218127495551479593262504037019953021599941887782351
Version: 
Total time: 24.35 hours.
Scaled time: 58.04 units (timescale=2.384).
Factorization parameters were as follows:
n: 52597373177352208060513564077435320881813363520162130791000724022083971317654521522294775353936789042386457644556411844586189315400221113
m: 10000000000000000000000000000000000
deg: 5
c5: 1
c0: -50
skew: 2.19
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2400000, 4300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10775156
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 762793 x 763040
Total sieving time: 21.95 hours.
Total relation processing time: 1.02 hours.
Matrix solve time: 1.30 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000
total time: 24.35 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673793)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672305)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
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
2011e374Luigi MorelliAugust 28, 2008 15:49:57 UTC 2008 年 8 月 29 日 (金) 0 時 49 分 57 秒 (日本時間)
255e4214Luigi MorelliAugust 28, 2008 15:54:35 UTC 2008 年 8 月 29 日 (金) 0 時 54 分 35 秒 (日本時間)
3025e4430Luigi MorelliAugust 28, 2008 16:53:17 UTC 2008 年 8 月 29 日 (金) 1 時 53 分 17 秒 (日本時間)
351e6904Luigi MorelliAugust 29, 2008 07:50:00 UTC 2008 年 8 月 29 日 (金) 16 時 50 分 0 秒 (日本時間)
403e62089Jo Yeong UkMay 8, 2009 05:38:00 UTC 2009 年 5 月 8 日 (金) 14 時 38 分 0 秒 (日本時間)

2×10169-1

c158

name 名前matsui
date 日付June 3, 2008 20:15:42 UTC 2008 年 6 月 4 日 (水) 5 時 15 分 42 秒 (日本時間)
composite number 合成数
93654909855430485828763065681998364104412095025723340870348581107002829762155361242962287920426721940792480679499437178241372396724687925920080647933909563541<158>
prime factors 素因数
58898760265545578947543164298726379592443127301<47>
1590099849864182210494369250009957128474833068460631622744916529265419584880420247201933949436069843089442684241<112>
factorization results 素因数分解の結果
N=93654909855430485828763065681998364104412095025723340870348581107002829762155361242962287920426721940792480679499437178241372396724687925920080647933909563541
  ( 158 digits)

SNFS difficulty: 170 digits.

Divisors found:

 r1=58898760265545578947543164298726379592443127301 (pp47)

 r2=1590099849864182210494369250009957128474833068460631622744916529265419584880420247201933949436069843089442684241 (pp112)

Version: GGNFS-0.77.1-20060513-prescott

Total time: 177.49 hours.

Scaled time: 151.40 units (timescale=0.853).

Factorization parameters were as follows:

n: 93654909855430485828763065681998364104412095025723340870348581107002829762155361242962287920426721940792480679499437178241372396724687925920080647933909563541
m: 10000000000000000000000000000000000
c5: 1
c0: -5
skew: 1.38
type: snfs



Factor base limits: 6000000/6000000

Large primes per side: 3

Large prime bits: 27/27

Max factor residue bits: 48/48

Sieved algebraic special-q in [3000000, 6500001)

Primes: RFBsize:412849, AFBsize:412271, largePrimes:5956885 encountered

Relations: rels:6224596, finalFF:933623

Max relations in full relation-set: 28

Initial matrix: 825184 x 933623 with sparse part having weight 47674635.

Pruned matrix : 733184 x 737373 with weight 34636533.

Total sieving time: 165.67 hours.

Total relation processing time: 0.23 hours.

Matrix solve time: 11.27 hours.

Time per square root: 0.32 hours.

Prototype def-par.txt line would be:

snfs,170,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000

total time: 177.49 hours.

2×10170-1

c129

name 名前Dmitry Domanov
date 日付May 11, 2009 22:36:19 UTC 2009 年 5 月 12 日 (火) 7 時 36 分 19 秒 (日本時間)
composite number 合成数
363141597715231961840469669719391341355478061523847951174507517995879853212559878525994104711390336716937987367736368470819582033<129>
prime factors 素因数
435805161629542059835776832137316524513544223593929263<54>
833265940121934456634651862380154649875027665246097890955759336287836945791<75>
factorization results 素因数分解の結果
Wed May 06 23:55:15 2009  Msieve v. 1.41
Wed May 06 23:55:15 2009  random seeds: f3d57740 5a083f78
Wed May 06 23:55:15 2009  factoring 363141597715231961840469669719391341355478061523847951174507517995879853212559878525994104711390336716937987367736368470819582033 (129 digits)
Wed May 06 23:55:16 2009  searching for 15-digit factors
Wed May 06 23:55:18 2009  commencing number field sieve (129-digit input)
Wed May 06 23:55:18 2009  R0: -10000000000000000000000000000000000
Wed May 06 23:55:18 2009  R1:  1
Wed May 06 23:55:18 2009  A0: -1
Wed May 06 23:55:18 2009  A1:  0
Wed May 06 23:55:18 2009  A2:  0
Wed May 06 23:55:18 2009  A3:  0
Wed May 06 23:55:18 2009  A4:  0
Wed May 06 23:55:18 2009  A5:  2
Wed May 06 23:55:18 2009  skew 0.87, size 1.292301e-011, alpha 1.449076, combined = 3.697836e-010
Wed May 06 23:55:18 2009  
Wed May 06 23:55:18 2009  commencing relation filtering
Wed May 06 23:55:18 2009  commencing duplicate removal, pass 1
Wed May 06 23:56:41 2009  found 1638964 hash collisions in 11577617 relations
Wed May 06 23:57:02 2009  added 368119 free relations
Wed May 06 23:57:02 2009  commencing duplicate removal, pass 2
Wed May 06 23:57:21 2009  found 1606009 duplicates and 10339726 unique relations
Wed May 06 23:57:21 2009  memory use: 65.3 MB
Wed May 06 23:57:21 2009  reading rational ideals above 8323072
Wed May 06 23:57:21 2009  reading algebraic ideals above 8323072
Wed May 06 23:57:21 2009  commencing singleton removal, pass 1
Wed May 06 23:58:46 2009  relations with 0 large ideals: 322046
Wed May 06 23:58:46 2009  relations with 1 large ideals: 1627628
Wed May 06 23:58:46 2009  relations with 2 large ideals: 3355941
Wed May 06 23:58:46 2009  relations with 3 large ideals: 3166722
Wed May 06 23:58:46 2009  relations with 4 large ideals: 1327236
Wed May 06 23:58:46 2009  relations with 5 large ideals: 200079
Wed May 06 23:58:46 2009  relations with 6 large ideals: 340074
Wed May 06 23:58:46 2009  relations with 7+ large ideals: 0
Wed May 06 23:58:46 2009  10339726 relations and about 9650898 large ideals
Wed May 06 23:58:46 2009  commencing singleton removal, pass 2
Thu May 07 00:00:11 2009  found 3518074 singletons
Thu May 07 00:00:11 2009  current dataset: 6821652 relations and about 5201006 large ideals
Thu May 07 00:00:11 2009  commencing singleton removal, pass 3
Thu May 07 00:01:08 2009  found 1186005 singletons
Thu May 07 00:01:08 2009  current dataset: 5635647 relations and about 3937334 large ideals
Thu May 07 00:01:08 2009  commencing singleton removal, pass 4
Thu May 07 00:01:56 2009  found 344484 singletons
Thu May 07 00:01:56 2009  current dataset: 5291163 relations and about 3584584 large ideals
Thu May 07 00:01:56 2009  commencing singleton removal, final pass
Thu May 07 00:02:45 2009  memory use: 83.8 MB
Thu May 07 00:02:45 2009  commencing in-memory singleton removal
Thu May 07 00:02:45 2009  begin with 5291163 relations and 3793818 unique ideals
Thu May 07 00:02:50 2009  reduce to 4676325 relations and 3166223 ideals in 14 passes
Thu May 07 00:02:50 2009  max relations containing the same ideal: 30
Thu May 07 00:02:51 2009  reading rational ideals above 720000
Thu May 07 00:02:51 2009  reading algebraic ideals above 720000
Thu May 07 00:02:51 2009  commencing singleton removal, final pass
Thu May 07 00:03:45 2009  keeping 3960255 ideals with weight <= 20, new excess is 329215
Thu May 07 00:03:49 2009  memory use: 128.4 MB
Thu May 07 00:03:49 2009  commencing in-memory singleton removal
Thu May 07 00:03:50 2009  begin with 4677019 relations and 3960255 unique ideals
Thu May 07 00:03:55 2009  reduce to 4662695 relations and 3942575 ideals in 10 passes
Thu May 07 00:03:55 2009  max relations containing the same ideal: 20
Thu May 07 00:03:58 2009  removing 962657 relations and 793542 ideals in 169115 cliques
Thu May 07 00:03:58 2009  commencing in-memory singleton removal
Thu May 07 00:03:58 2009  begin with 3700038 relations and 3942575 unique ideals
Thu May 07 00:04:02 2009  reduce to 3580213 relations and 3023676 ideals in 8 passes
Thu May 07 00:04:02 2009  max relations containing the same ideal: 20
Thu May 07 00:04:04 2009  removing 706590 relations and 537475 ideals in 169115 cliques
Thu May 07 00:04:04 2009  commencing in-memory singleton removal
Thu May 07 00:04:04 2009  begin with 2873623 relations and 3023676 unique ideals
Thu May 07 00:04:06 2009  reduce to 2790515 relations and 2399228 ideals in 7 passes
Thu May 07 00:04:06 2009  max relations containing the same ideal: 20
Thu May 07 00:04:08 2009  removing 62997 relations and 53600 ideals in 9397 cliques
Thu May 07 00:04:08 2009  commencing in-memory singleton removal
Thu May 07 00:04:08 2009  begin with 2727518 relations and 2399228 unique ideals
Thu May 07 00:04:09 2009  reduce to 2726829 relations and 2344936 ideals in 5 passes
Thu May 07 00:04:09 2009  max relations containing the same ideal: 20
Thu May 07 00:04:10 2009  relations with 0 large ideals: 9379
Thu May 07 00:04:10 2009  relations with 1 large ideals: 72170
Thu May 07 00:04:10 2009  relations with 2 large ideals: 332378
Thu May 07 00:04:10 2009  relations with 3 large ideals: 740524
Thu May 07 00:04:10 2009  relations with 4 large ideals: 848156
Thu May 07 00:04:10 2009  relations with 5 large ideals: 512541
Thu May 07 00:04:10 2009  relations with 6 large ideals: 180606
Thu May 07 00:04:10 2009  relations with 7+ large ideals: 31075
Thu May 07 00:04:10 2009  commencing 2-way merge
Thu May 07 00:04:12 2009  reduce to 1798033 relation sets and 1416140 unique ideals
Thu May 07 00:04:12 2009  commencing full merge
Thu May 07 00:04:41 2009  memory use: 127.7 MB
Thu May 07 00:04:41 2009  found 900031 cycles, need 848340
Thu May 07 00:04:41 2009  weight of 848340 cycles is about 59797514 (70.49/cycle)
Thu May 07 00:04:41 2009  distribution of cycle lengths:
Thu May 07 00:04:41 2009  1 relations: 56751
Thu May 07 00:04:41 2009  2 relations: 83118
Thu May 07 00:04:41 2009  3 relations: 96995
Thu May 07 00:04:41 2009  4 relations: 95528
Thu May 07 00:04:41 2009  5 relations: 90120
Thu May 07 00:04:41 2009  6 relations: 80315
Thu May 07 00:04:41 2009  7 relations: 70905
Thu May 07 00:04:41 2009  8 relations: 60666
Thu May 07 00:04:41 2009  9 relations: 51810
Thu May 07 00:04:41 2009  10+ relations: 162132
Thu May 07 00:04:41 2009  heaviest cycle: 18 relations
Thu May 07 00:04:41 2009  commencing cycle optimization
Thu May 07 00:04:43 2009  start with 5196529 relations
Thu May 07 00:04:56 2009  pruned 170872 relations
Thu May 07 00:04:56 2009  memory use: 128.9 MB
Thu May 07 00:04:56 2009  distribution of cycle lengths:
Thu May 07 00:04:56 2009  1 relations: 56751
Thu May 07 00:04:56 2009  2 relations: 85525
Thu May 07 00:04:56 2009  3 relations: 101683
Thu May 07 00:04:56 2009  4 relations: 99412
Thu May 07 00:04:56 2009  5 relations: 93679
Thu May 07 00:04:56 2009  6 relations: 82681
Thu May 07 00:04:56 2009  7 relations: 72480
Thu May 07 00:04:56 2009  8 relations: 61297
Thu May 07 00:04:56 2009  9 relations: 51549
Thu May 07 00:04:56 2009  10+ relations: 143283
Thu May 07 00:04:56 2009  heaviest cycle: 18 relations
Thu May 07 00:04:58 2009  RelProcTime: 568
Thu May 07 00:04:58 2009  
Thu May 07 00:04:58 2009  commencing linear algebra
Thu May 07 00:04:58 2009  read 848340 cycles
Thu May 07 00:05:00 2009  cycles contain 2518833 unique relations
Thu May 07 00:05:56 2009  read 2518833 relations
Thu May 07 00:05:59 2009  using 20 quadratic characters above 134214764
Thu May 07 00:06:12 2009  building initial matrix
Thu May 07 00:06:44 2009  memory use: 275.6 MB
Thu May 07 00:06:45 2009  read 848340 cycles
Thu May 07 00:07:10 2009  matrix is 848136 x 848340 (240.4 MB) with weight 75103459 (88.53/col)
Thu May 07 00:07:10 2009  sparse part has weight 57080382 (67.28/col)
Thu May 07 00:07:20 2009  filtering completed in 2 passes
Thu May 07 00:07:21 2009  matrix is 846914 x 847114 (240.2 MB) with weight 75044918 (88.59/col)
Thu May 07 00:07:21 2009  sparse part has weight 57048622 (67.34/col)
Thu May 07 00:07:24 2009  read 847114 cycles
Thu May 07 00:09:39 2009  matrix is 846914 x 847114 (240.2 MB) with weight 75044918 (88.59/col)
Thu May 07 00:09:39 2009  sparse part has weight 57048622 (67.34/col)
Thu May 07 00:09:39 2009  saving the first 48 matrix rows for later
Thu May 07 00:09:40 2009  matrix is 846866 x 847114 (225.9 MB) with weight 59153206 (69.83/col)
Thu May 07 00:09:40 2009  sparse part has weight 54143775 (63.92/col)
Thu May 07 00:09:40 2009  matrix includes 64 packed rows
Thu May 07 00:09:40 2009  using block size 65536 for processor cache size 6144 kB
Thu May 07 00:09:46 2009  commencing Lanczos iteration (4 threads)
Thu May 07 00:09:46 2009  memory use: 246.5 MB
Thu May 07 01:02:50 2009  lanczos halted after 13391 iterations (dim = 846865)
Thu May 07 01:02:52 2009  recovered 38 nontrivial dependencies
Thu May 07 01:02:52 2009  BLanczosTime: 3474
Thu May 07 01:02:52 2009  
Thu May 07 01:02:52 2009  commencing square root phase
Thu May 07 01:02:52 2009  reading relations for dependency 1
Thu May 07 01:02:52 2009  read 424122 cycles
Thu May 07 01:02:53 2009  cycles contain 1575740 unique relations
Thu May 07 01:03:43 2009  read 1575740 relations
Thu May 07 01:03:50 2009  multiplying 1259664 relations
Thu May 07 01:05:05 2009  multiply complete, coefficients have about 27.90 million bits
Thu May 07 01:05:05 2009  initial square root is modulo 102741601
Thu May 07 01:07:13 2009  reading relations for dependency 2
Thu May 07 01:07:14 2009  read 423170 cycles
Thu May 07 01:07:14 2009  cycles contain 1572373 unique relations
Thu May 07 01:08:03 2009  read 1572373 relations
Thu May 07 01:08:10 2009  multiplying 1257552 relations
Thu May 07 01:09:26 2009  multiply complete, coefficients have about 27.85 million bits
Thu May 07 01:09:26 2009  initial square root is modulo 99755471
Thu May 07 01:11:35 2009  sqrtTime: 523
Thu May 07 01:11:35 2009  prp54 factor: 435805161629542059835776832137316524513544223593929263
Thu May 07 01:11:35 2009  prp75 factor: 833265940121934456634651862380154649875027665246097890955759336287836945791
Thu May 07 01:11:35 2009  elapsed time 01:16:20
software ソフトウェア
gnfs-lasieve4I12e for sieving, msieve for postprocessing and linear algebra

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Markus TervoorenJanuary 6, 2009 20:10:27 UTC 2009 年 1 月 7 日 (水) 5 時 10 分 27 秒 (日本時間)
255e4204Markus TervoorenJanuary 6, 2009 20:12:25 UTC 2009 年 1 月 7 日 (水) 5 時 12 分 25 秒 (日本時間)
3025e4403103Markus TervoorenJanuary 6, 2009 20:12:30 UTC 2009 年 1 月 7 日 (水) 5 時 12 分 30 秒 (日本時間)
300Ignacio SantosJanuary 18, 2009 18:38:22 UTC 2009 年 1 月 19 日 (月) 3 時 38 分 22 秒 (日本時間)
351e6828Jo Yeong UkApril 20, 2009 02:40:57 UTC 2009 年 4 月 20 日 (月) 11 時 40 分 57 秒 (日本時間)

2×10174-1

c156

name 名前Jo Yeong Uk
date 日付May 10, 2009 06:06:54 UTC 2009 年 5 月 10 日 (日) 15 時 6 分 54 秒 (日本時間)
composite number 合成数
344216220689138912934454927280358723898655801619893389728782160047005078582797351260752955072440170199771132657212043868893991972544665947669729527490884847<156>
prime factors 素因数
619180306815359879947719443746703720133427088087349543290858026082921<69>
555922429864657334982749661703084805904449869206638420241546962493043429452142780416407<87>
factorization results 素因数分解の結果
Number: 19999_174
N=344216220689138912934454927280358723898655801619893389728782160047005078582797351260752955072440170199771132657212043868893991972544665947669729527490884847
  ( 156 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=619180306815359879947719443746703720133427088087349543290858026082921
 r2=555922429864657334982749661703084805904449869206638420241546962493043429452142780416407
Version: 
Total time: 34.42 hours.
Scaled time: 81.94 units (timescale=2.381).
Factorization parameters were as follows:
n: 344216220689138912934454927280358723898655801619893389728782160047005078582797351260752955072440170199771132657212043868893991972544665947669729527490884847
m: 100000000000000000000000000000000000
deg: 5
c5: 1
c0: -5
skew: 1.38
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [3200000, 5600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 15451820
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1063716 x 1063964
Total sieving time: 29.79 hours.
Total relation processing time: 1.82 hours.
Matrix solve time: 2.58 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,52,52,2.5,2.5,100000
total time: 34.42 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673793)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672305)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
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
2011e374Jo Yeong UkApril 20, 2009 02:41:26 UTC 2009 年 4 月 20 日 (月) 11 時 41 分 26 秒 (日本時間)
255e4204Jo Yeong UkApril 20, 2009 02:41:40 UTC 2009 年 4 月 20 日 (月) 11 時 41 分 40 秒 (日本時間)
3025e4403Jo Yeong UkApril 20, 2009 02:42:11 UTC 2009 年 4 月 20 日 (月) 11 時 42 分 11 秒 (日本時間)
351e6828Jo Yeong UkApril 20, 2009 02:42:17 UTC 2009 年 4 月 20 日 (月) 11 時 42 分 17 秒 (日本時間)

2×10175-1

c145

name 名前Jo Yeong Uk
date 日付May 11, 2009 16:56:26 UTC 2009 年 5 月 12 日 (火) 1 時 56 分 26 秒 (日本時間)
composite number 合成数
2544337442985623921716959902522957528934609642218505078688226925961732275234116485121754486032016850727010696319789948443649436146269366871021651<145>
prime factors 素因数
252597480480496167240007038032606644816424127704209356727130090671<66>
10072695254702194408495084787330701009705144691937916451329143381917222375956381<80>
factorization results 素因数分解の結果
Number: 19999_175
N=2544337442985623921716959902522957528934609642218505078688226925961732275234116485121754486032016850727010696319789948443649436146269366871021651
  ( 145 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=252597480480496167240007038032606644816424127704209356727130090671
 r2=10072695254702194408495084787330701009705144691937916451329143381917222375956381
Version: 
Total time: 38.52 hours.
Scaled time: 91.90 units (timescale=2.386).
Factorization parameters were as follows:
n: 2544337442985623921716959902522957528934609642218505078688226925961732275234116485121754486032016850727010696319789948443649436146269366871021651
m: 100000000000000000000000000000000000
deg: 5
c5: 2
c0: -1
skew: 0.87
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [3200000, 5900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 15610896
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1126166 x 1126414
Total sieving time: 33.37 hours.
Total relation processing time: 2.06 hours.
Matrix solve time: 2.96 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,52,52,2.5,2.5,100000
total time: 38.52 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673793)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672305)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
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
2011e374Jo Yeong UkApril 20, 2009 05:14:21 UTC 2009 年 4 月 20 日 (月) 14 時 14 分 21 秒 (日本時間)
255e4204Jo Yeong UkApril 20, 2009 05:14:27 UTC 2009 年 4 月 20 日 (月) 14 時 14 分 27 秒 (日本時間)
3025e4403Jo Yeong UkApril 20, 2009 05:14:41 UTC 2009 年 4 月 20 日 (月) 14 時 14 分 41 秒 (日本時間)
351e6828Jo Yeong UkApril 20, 2009 05:14:50 UTC 2009 年 4 月 20 日 (月) 14 時 14 分 50 秒 (日本時間)

2×10176-1

c128

name 名前Jo Yeong Uk
date 日付May 12, 2009 22:56:12 UTC 2009 年 5 月 13 日 (水) 7 時 56 分 12 秒 (日本時間)
composite number 合成数
43239934343727043867038071858195868131316110066819744096987416719312710840761544224861895751661857201711227598866960845844905441<128>
prime factors 素因数
2638173759595778891884183100234637053647717064980325343311<58>
16390100988022968074152500639629002445679211540543545306742330563674831<71>
factorization results 素因数分解の結果
Number: 19999_176
N=43239934343727043867038071858195868131316110066819744096987416719312710840761544224861895751661857201711227598866960845844905441
  ( 128 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=2638173759595778891884183100234637053647717064980325343311
 r2=16390100988022968074152500639629002445679211540543545306742330563674831
Version: 
Total time: 43.15 hours.
Scaled time: 103.12 units (timescale=2.390).
Factorization parameters were as follows:
n: 43239934343727043867038071858195868131316110066819744096987416719312710840761544224861895751661857201711227598866960845844905441
m: 100000000000000000000000000000000000
deg: 5
c5: 20
c0: -1
skew: 0.55
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3400000, 6300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17790087
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1183787 x 1184034
Total sieving time: 37.04 hours.
Total relation processing time: 2.59 hours.
Matrix solve time: 3.21 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 43.15 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673793)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672305)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
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
2011e374Jo Yeong UkMay 1, 2009 02:52:09 UTC 2009 年 5 月 1 日 (金) 11 時 52 分 9 秒 (日本時間)
255e4214Jo Yeong UkMay 1, 2009 02:52:16 UTC 2009 年 5 月 1 日 (金) 11 時 52 分 16 秒 (日本時間)
3025e4402Jo Yeong UkMay 1, 2009 02:52:24 UTC 2009 年 5 月 1 日 (金) 11 時 52 分 24 秒 (日本時間)
351e6828Jo Yeong UkMay 1, 2009 02:52:29 UTC 2009 年 5 月 1 日 (金) 11 時 52 分 29 秒 (日本時間)
403e62111Jo Yeong UkMay 10, 2009 07:45:40 UTC 2009 年 5 月 10 日 (日) 16 時 45 分 40 秒 (日本時間)

2×10179-1

c142

name 名前Serge Batalov
date 日付August 8, 2008 02:13:59 UTC 2008 年 8 月 8 日 (金) 11 時 13 分 59 秒 (日本時間)
composite number 合成数
6028858043828115966109860472711703865502577590745038308276414689916226929576346360235129411261995844061175144342728642218609504892172912792291<142>
prime factors 素因数
7736164186569272400196540924681661<34>
779308440001156560248963164065011218680470960978737478778245389819252290693403741828408530381050760178412831<108>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3871587776
Step 1 took 5456ms
Step 2 took 3421ms
********** Factor found in step 2: 7736164186569272400196540924681661
Found probable prime factor of 34 digits: 7736164186569272400196540924681661
Probable prime cofactor 779308440001156560248963164065011218680470960978737478778245389819252290693403741828408530381050760178412831 has 108 digits
software ソフトウェア
GMP-ECM 6.2.1

2×10180-1

c149

name 名前Jo Yeong Uk
date 日付April 24, 2009 14:27:37 UTC 2009 年 4 月 24 日 (金) 23 時 27 分 37 秒 (日本時間)
composite number 合成数
14878743881363177813121181985179871892369482209890801997246302818188423938858501010328725657818896907386546241733098581247875698793343660876700524799<149>
prime factors 素因数
3646742702319169110919751900918642423<37>
4080009229030868132507753050857621102187848916600309751871730009887972204041194243916993303782420351451924397113<112>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 14878743881363177813121181985179871892369482209890801997246302818188423938858501010328725657818896907386546241733098581247875698793343660876700524799 (149 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=386652535
Step 1 took 13915ms
Step 2 took 6364ms
********** Factor found in step 2: 3646742702319169110919751900918642423
Found probable prime factor of 37 digits: 3646742702319169110919751900918642423
Probable prime cofactor 4080009229030868132507753050857621102187848916600309751871730009887972204041194243916993303782420351451924397113 has 112 digits
execution environment 実行環境
Core 2 Quad Q6700

2×10181-1

c130

name 名前Jo Yeong Uk
date 日付May 19, 2009 00:24:26 UTC 2009 年 5 月 19 日 (火) 9 時 24 分 26 秒 (日本時間)
composite number 合成数
3128725609853561538026773920634567520995491992088880828324972714133336327873248318256123375586149260625874239143237635528827613049<130>
prime factors 素因数
5050517525163785428349019657192204840675990331<46>
619486140631122497714177220241924734371086778583423922913708782283498388270677109979<84>
factorization results 素因数分解の結果
Number: 19999_181
N=3128725609853561538026773920634567520995491992088880828324972714133336327873248318256123375586149260625874239143237635528827613049
  ( 130 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=5050517525163785428349019657192204840675990331
 r2=619486140631122497714177220241924734371086778583423922913708782283498388270677109979
Version: 
Total time: 68.24 hours.
Scaled time: 162.76 units (timescale=2.385).
Factorization parameters were as follows:
n: 3128725609853561538026773920634567520995491992088880828324972714133336327873248318256123375586149260625874239143237635528827613049
m: 1000000000000000000000000000000000000
deg: 5
c5: 20
c0: -1
skew: 0.55
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [2900000, 4800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17839570
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1166869 x 1167117
Total sieving time: 62.68 hours.
Total relation processing time: 1.76 hours.
Matrix solve time: 3.07 hours.
Time per square root: 0.73 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,53,53,2.5,2.5,100000
total time: 68.24 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673793)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672305)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
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
2011e374Jo Yeong UkMay 1, 2009 02:52:43 UTC 2009 年 5 月 1 日 (金) 11 時 52 分 43 秒 (日本時間)
255e4204Jo Yeong UkMay 1, 2009 02:52:48 UTC 2009 年 5 月 1 日 (金) 11 時 52 分 48 秒 (日本時間)
3025e4403Jo Yeong UkMay 1, 2009 02:52:58 UTC 2009 年 5 月 1 日 (金) 11 時 52 分 58 秒 (日本時間)
351e6828Jo Yeong UkMay 1, 2009 02:53:03 UTC 2009 年 5 月 1 日 (金) 11 時 53 分 3 秒 (日本時間)
403e62111Jo Yeong UkMay 10, 2009 07:45:50 UTC 2009 年 5 月 10 日 (日) 16 時 45 分 50 秒 (日本時間)

2×10183-1

c169

name 名前Jo Yeong Uk
date 日付April 22, 2009 10:21:32 UTC 2009 年 4 月 22 日 (水) 19 時 21 分 32 秒 (日本時間)
composite number 合成数
6702736877246236350782731803505581851819006651598315170749396069506347157382739930428866242940491670173578185223001548816068081968260436967719825339733369220980898152211<169>
prime factors 素因数
138315648629492573181397043870991531509<39>
48459714744214666303053112592352799187563839995254738535415184574936072669072865614713121962535167281027204906904020713946527407079<131>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 6702736877246236350782731803505581851819006651598315170749396069506347157382739930428866242940491670173578185223001548816068081968260436967719825339733369220980898152211 (169 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3048775659
Step 1 took 16609ms
Step 2 took 7140ms
********** Factor found in step 2: 138315648629492573181397043870991531509
Found probable prime factor of 39 digits: 138315648629492573181397043870991531509
Probable prime cofactor 48459714744214666303053112592352799187563839995254738535415184574936072669072865614713121962535167281027204906904020713946527407079 has 131 digits
execution environment 実行環境
Core 2 Quad Q6700

2×10189-1

c150

name 名前Jo Yeong Uk
date 日付April 17, 2009 16:22:11 UTC 2009 年 4 月 18 日 (土) 1 時 22 分 11 秒 (日本時間)
composite number 合成数
316716082982021715964078119995152309103483041202058322413122073625672839431656295396252831115566430331967060364389847629059167242554614320568263209139<150>
prime factors 素因数
317174697888724493139312350540581<33>
composite cofactor 合成数の残り
998554062131199145511682309200429404184445404728977563784886142161737708964524438853301713011987413991352186470480119<117>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 316716082982021715964078119995152309103483041202058322413122073625672839431656295396252831115566430331967060364389847629059167242554614320568263209139 (150 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3783356541
Step 1 took 4615ms
Step 2 took 2683ms
********** Factor found in step 2: 317174697888724493139312350540581
Found probable prime factor of 33 digits: 317174697888724493139312350540581
Composite cofactor 998554062131199145511682309200429404184445404728977563784886142161737708964524438853301713011987413991352186470480119 has 117 digits
execution environment 実行環境
Core 2 Quad Q6700

c117

name 名前Robert Backstrom
date 日付April 21, 2009 04:58:24 UTC 2009 年 4 月 21 日 (火) 13 時 58 分 24 秒 (日本時間)
composite number 合成数
998554062131199145511682309200429404184445404728977563784886142161737708964524438853301713011987413991352186470480119<117>
prime factors 素因数
513218192797005307893534212745911015541469979463052889<54>
1945671599615643697213895686057854815110769046170890008443525071<64>
factorization results 素因数分解の結果
Number: n
N=998554062131199145511682309200429404184445404728977563784886142161737708964524438853301713011987413991352186470480119
  ( 117 digits)
Divisors found:

Tue Apr 21 14:48:53 2009  prp54 factor: 513218192797005307893534212745911015541469979463052889
Tue Apr 21 14:48:53 2009  prp64 factor: 1945671599615643697213895686057854815110769046170890008443525071
Tue Apr 21 14:48:53 2009  elapsed time 00:56:00 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 21.19 hours.
Scaled time: 56.37 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_1_9_189
n: 998554062131199145511682309200429404184445404728977563784886142161737708964524438853301713011987413991352186470480119
Y0: -39549417387425509027250
Y1:  1988506022909
c0:  2486995315355389860517375156431
c1:  58401840270545545618714084
c2:  125760847171208808779
c3: -1783059507957566
c4: -4048042212
c5:  10320
skew: 217819.22
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 50000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2250000, 3451699)
Primes: RFBsize:315948, AFBsize:315612, largePrimes:13634890 encountered
Relations: rels:12392196, finalFF:666830
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 934308 hash collisions in 13111368 relations
Msieve: matrix is 654514 x 654762 (184.4 MB)

Total sieving time: 20.61 hours.
Total relation processing time: 0.59 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,28,28,56,56,2.4,2.4,60000
total time: 21.19 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 KamadaApril 18, 2009 18:00:57 UTC 2009 年 4 月 19 日 (日) 3 時 0 分 57 秒 (日本時間)

2×10190-1

c180

name 名前Jo Yeong Uk
date 日付May 24, 2009 06:11:16 UTC 2009 年 5 月 24 日 (日) 15 時 11 分 16 秒 (日本時間)
composite number 合成数
788181263848310569191168289698477608629667806002138500262250231716631429766774029824489209769354914397516489610270580329936650268653863597002338747131096998004045747905232989957769<180>
prime factors 素因数
27676127635110233402503730692785558639486036666823955434117813714327581673274833<80>
28478740748702695477340652489819896975660217520497038645376481346236576555545798008200801855853755193<101>
factorization results 素因数分解の結果
Number: 19999_190
N=788181263848310569191168289698477608629667806002138500262250231716631429766774029824489209769354914397516489610270580329936650268653863597002338747131096998004045747905232989957769
  ( 180 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=27676127635110233402503730692785558639486036666823955434117813714327581673274833
 r2=28478740748702695477340652489819896975660217520497038645376481346236576555545798008200801855853755193
Version: 
Total time: 128.90 hours.
Scaled time: 308.07 units (timescale=2.390).
Factorization parameters were as follows:
n: 788181263848310569191168289698477608629667806002138500262250231716631429766774029824489209769354914397516489610270580329936650268653863597002338747131096998004045747905232989957769
m: 100000000000000000000000000000000000000
deg: 5
c5: 2
c0: -1
skew: 0.87
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 7900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20445526
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1710578 x 1710826
Total sieving time: 118.17 hours.
Total relation processing time: 3.65 hours.
Matrix solve time: 6.91 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 128.90 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673793)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672305)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
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
2011e374Jo Yeong UkMay 1, 2009 02:53:27 UTC 2009 年 5 月 1 日 (金) 11 時 53 分 27 秒 (日本時間)
255e4204Jo Yeong UkMay 1, 2009 02:53:33 UTC 2009 年 5 月 1 日 (金) 11 時 53 分 33 秒 (日本時間)
3025e4403Jo Yeong UkMay 1, 2009 02:53:39 UTC 2009 年 5 月 1 日 (金) 11 時 53 分 39 秒 (日本時間)
351e6828Jo Yeong UkMay 1, 2009 02:53:46 UTC 2009 年 5 月 1 日 (金) 11 時 53 分 46 秒 (日本時間)
403e62111Jo Yeong UkMay 11, 2009 15:06:42 UTC 2009 年 5 月 12 日 (火) 0 時 6 分 42 秒 (日本時間)

2×10191-1

c147

name 名前Jo Yeong Uk
date 日付April 24, 2009 08:33:49 UTC 2009 年 4 月 24 日 (金) 17 時 33 分 49 秒 (日本時間)
composite number 合成数
203998793838406605456849058402298086054508973666863581672079665320253658796228665748890577906627191442159765577090127199451780519415081662361244461<147>
prime factors 素因数
374917624436804778786980691929301633251<39>
544116308602057079193319001051462073305059198331631713353356980808064530293851666207891990993563912562753711<108>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 203998793838406605456849058402298086054508973666863581672079665320253658796228665748890577906627191442159765577090127199451780519415081662361244461 (147 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2535079878
Step 1 took 13915ms
Step 2 took 6304ms
********** Factor found in step 2: 374917624436804778786980691929301633251
Found probable prime factor of 39 digits: 374917624436804778786980691929301633251
Probable prime cofactor 544116308602057079193319001051462073305059198331631713353356980808064530293851666207891990993563912562753711 has 108 digits
execution environment 実行環境
Core 2 Quad Q6700

2×10192-1

c160

name 名前Jo Yeong Uk
date 日付November 2, 2009 23:38:17 UTC 2009 年 11 月 3 日 (火) 8 時 38 分 17 秒 (日本時間)
composite number 合成数
1006239306483353831476825306401787972745351092928340869203919022242287714541569486966508596822901307295892131075739094628996817962709248807383479467349401362751<160>
prime factors 素因数
34800207118492911860248366555234613008736732153524878679537<59>
28914750508730044277748248804535726260023740804371880053958065619493865157416478604450813537747698223<101>
factorization results 素因数分解の結果
Number: 19999_192
N=1006239306483353831476825306401787972745351092928340869203919022242287714541569486966508596822901307295892131075739094628996817962709248807383479467349401362751
  ( 160 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=34800207118492911860248366555234613008736732153524878679537
 r2=28914750508730044277748248804535726260023740804371880053958065619493865157416478604450813537747698223
Version: 
Total time: 185.08 hours.
Scaled time: 442.16 units (timescale=2.389).
Factorization parameters were as follows:
n: 1006239306483353831476825306401787972745351092928340869203919022242287714541569486966508596822901307295892131075739094628996817962709248807383479467349401362751
m: 200000000000000000000000000000000000000
deg: 5
c5: 25
c0: -4
skew: 0.69
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5500000, 10000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 22159829
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2122554 x 2122801
Total sieving time: 166.68 hours.
Total relation processing time: 5.41 hours.
Matrix solve time: 12.11 hours.
Time per square root: 0.89 hours.
Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,55,55,2.5,2.5,100000
total time: 185.08 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Jo Yeong UkMay 1, 2009 02:54:04 UTC 2009 年 5 月 1 日 (金) 11 時 54 分 4 秒 (日本時間)
255e4204Jo Yeong UkMay 1, 2009 02:54:10 UTC 2009 年 5 月 1 日 (金) 11 時 54 分 10 秒 (日本時間)
3025e4403Jo Yeong UkMay 1, 2009 02:54:18 UTC 2009 年 5 月 1 日 (金) 11 時 54 分 18 秒 (日本時間)
351e6828Jo Yeong UkMay 1, 2009 02:54:28 UTC 2009 年 5 月 1 日 (金) 11 時 54 分 28 秒 (日本時間)
403e62111Jo Yeong UkMay 10, 2009 07:46:12 UTC 2009 年 5 月 10 日 (日) 16 時 46 分 12 秒 (日本時間)
4511e63974Jo Yeong UkOctober 25, 2009 15:30:41 UTC 2009 年 10 月 26 日 (月) 0 時 30 分 41 秒 (日本時間)

2×10193-1

c142

name 名前Jo Yeong Uk
date 日付April 15, 2009 23:05:47 UTC 2009 年 4 月 16 日 (木) 8 時 5 分 47 秒 (日本時間)
composite number 合成数
1305529637784949287620571177887970771289520181235731640907698902880282231900498703097479220981210951629363692688397047212888405051383997623781<142>
prime factors 素因数
394666621455911984281003929471901<33>
composite cofactor 合成数の残り
3307930204406174659160459281208577919156483154925588805331903346568937950394323661593005058106900251722779881<109>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 1305529637784949287620571177887970771289520181235731640907698902880282231900498703097479220981210951629363692688397047212888405051383997623781 (142 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1344099513
Step 1 took 4654ms
Step 2 took 2600ms
********** Factor found in step 2: 394666621455911984281003929471901
Found probable prime factor of 33 digits: 394666621455911984281003929471901
Composite cofactor 3307930204406174659160459281208577919156483154925588805331903346568937950394323661593005058106900251722779881 has 109 digits
execution environment 実行環境
Core 2 Quad Q6700

c109

name 名前Robert Backstrom
date 日付April 19, 2009 00:16:50 UTC 2009 年 4 月 19 日 (日) 9 時 16 分 50 秒 (日本時間)
composite number 合成数
3307930204406174659160459281208577919156483154925588805331903346568937950394323661593005058106900251722779881<109>
prime factors 素因数
27527725817981321521808835728186950658541825851539<50>
120167217091555354429467632255431770850693114035283138229779<60>
factorization results 素因数分解の結果
Number: n
N=3307930204406174659160459281208577919156483154925588805331903346568937950394323661593005058106900251722779881
  ( 109 digits)
Divisors found:
 r1=27527725817981321521808835728186950658541825851539 (pp50)
 r2=120167217091555354429467632255431770850693114035283138229779 (pp60)
Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 11.32 hours.
Scaled time: 30.11 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_1_9_193
n: 3307930204406174659160459281208577919156483154925588805331903346568937950394323661593005058106900251722779881
Y0: -839776940653718696932
Y1:  114057450119
c0: -1649652311583314793830770533
c1:  216144923746544112026007
c2: -3923772748444895801
c3: -94689262172047
c4:  1534734054
c5:  7920
skew: 54002.35
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [1600000, 2700001)
Primes: RFBsize:230209, AFBsize:230226, largePrimes:16506913 encountered
Relations: rels:14758898, finalFF:602642
Max relations in full relation-set: 28
Initial matrix: 460518 x 602642 with sparse part having weight 53211012.
Pruned matrix : 348381 x 350747 with weight 29897839.
Total sieving time: 9.85 hours.
Total relation processing time: 0.72 hours.
Matrix solve time: 0.54 hours.
Total square root time: 0.21 hours, sqrts: 1.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,28,28,56,56,2.6,2.6,100000
total time: 11.32 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
2011e374Jo Yeong UkApril 17, 2009 06:51:26 UTC 2009 年 4 月 17 日 (金) 15 時 51 分 26 秒 (日本時間)
255e4204Jo Yeong UkApril 17, 2009 06:51:46 UTC 2009 年 4 月 17 日 (金) 15 時 51 分 46 秒 (日本時間)
3025e4403Jo Yeong UkApril 17, 2009 06:52:01 UTC 2009 年 4 月 17 日 (金) 15 時 52 分 1 秒 (日本時間)

2×10195-1

c173

name 名前Jo Yeong Uk
date 日付November 25, 2009 02:49:31 UTC 2009 年 11 月 25 日 (水) 11 時 49 分 31 秒 (日本時間)
composite number 合成数
23576655207909208424624202624006807544095893996706242465497479933717817335301260997188669857591848828615161079849847110159737109007441407916694060960678075171144655502337941<173>
prime factors 素因数
8005520506168541677107500091857021276142810375469214148691261<61>
2945049630407235486850246768492493463787273516148281573264435077057996480481973645153052764487171176571079917881<112>
factorization results 素因数分解の結果
Number: 19999_195
N=23576655207909208424624202624006807544095893996706242465497479933717817335301260997188669857591848828615161079849847110159737109007441407916694060960678075171144655502337941
  ( 173 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=8005520506168541677107500091857021276142810375469214148691261
 r2=2945049630407235486850246768492493463787273516148281573264435077057996480481973645153052764487171176571079917881
Version: 
Total time: 209.06 hours.
Scaled time: 499.43 units (timescale=2.389).
Factorization parameters were as follows:
n: 23576655207909208424624202624006807544095893996706242465497479933717817335301260997188669857591848828615161079849847110159737109007441407916694060960678075171144655502337941
m: 1000000000000000000000000000000000000000
deg: 5
c5: 2
c0: -1
skew: 0.87
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6000000, 11100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 22757439
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2150669 x 2150917
Total sieving time: 189.52 hours.
Total relation processing time: 6.29 hours.
Matrix solve time: 12.68 hours.
Time per square root: 0.57 hours.
Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000
total time: 209.06 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673792)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672346)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672338)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672382)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Jo Yeong UkMay 1, 2009 02:54:43 UTC 2009 年 5 月 1 日 (金) 11 時 54 分 43 秒 (日本時間)
255e4204Jo Yeong UkMay 1, 2009 02:54:48 UTC 2009 年 5 月 1 日 (金) 11 時 54 分 48 秒 (日本時間)
3025e4403Jo Yeong UkMay 1, 2009 02:54:54 UTC 2009 年 5 月 1 日 (金) 11 時 54 分 54 秒 (日本時間)
351e6828Jo Yeong UkMay 1, 2009 02:55:02 UTC 2009 年 5 月 1 日 (金) 11 時 55 分 2 秒 (日本時間)
403e62111Jo Yeong UkMay 11, 2009 15:06:59 UTC 2009 年 5 月 12 日 (火) 0 時 6 分 59 秒 (日本時間)

2×10196-1

c189

name 名前Jo Yeong Uk
date 日付December 3, 2009 16:17:49 UTC 2009 年 12 月 4 日 (金) 1 時 17 分 49 秒 (日本時間)
composite number 合成数
131142925612578605184432623935130099388567747914078328797438322285405208067201989029015614906195399667475309246001814480404483076323471291341504066542130284503364396349408476883308637918297<189>
prime factors 素因数
1184519727783750416654949243024504531875874583481<49>
110714007151192388668548159387672871512485358734847066883913445369139729551089568055349728260200404587217820110723312598003341429367614469537<141>
factorization results 素因数分解の結果
Number: 19999_196
N=131142925612578605184432623935130099388567747914078328797438322285405208067201989029015614906195399667475309246001814480404483076323471291341504066542130284503364396349408476883308637918297
  ( 189 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=1184519727783750416654949243024504531875874583481
 r2=110714007151192388668548159387672871512485358734847066883913445369139729551089568055349728260200404587217820110723312598003341429367614469537
Version: 
Total time: 216.90 hours.
Scaled time: 517.51 units (timescale=2.386).
Factorization parameters were as follows:
n: 131142925612578605184432623935130099388567747914078328797438322285405208067201989029015614906195399667475309246001814480404483076323471291341504066542130284503364396349408476883308637918297
m: 1000000000000000000000000000000000000000
deg: 5
c5: 20
c0: -1
skew: 0.55
type: snfs
lss: 1
rlim: 13000000
alim: 13000000
lpbr: 29
lpba: 29
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 55/55
Sieved rational special-q in [6500000, 11500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 33192013
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2453224 x 2453471
Total sieving time: 190.58 hours.
Total relation processing time: 8.58 hours.
Matrix solve time: 17.00 hours.
Time per square root: 0.74 hours.
Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13000000,13000000,29,29,55,55,2.5,2.5,100000
total time: 216.90 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673792)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672346)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672338)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672382)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Jo Yeong UkMay 1, 2009 02:55:14 UTC 2009 年 5 月 1 日 (金) 11 時 55 分 14 秒 (日本時間)
255e4204Jo Yeong UkMay 1, 2009 02:55:20 UTC 2009 年 5 月 1 日 (金) 11 時 55 分 20 秒 (日本時間)
3025e4403Jo Yeong UkMay 1, 2009 02:55:26 UTC 2009 年 5 月 1 日 (金) 11 時 55 分 26 秒 (日本時間)
351e6828Jo Yeong UkMay 1, 2009 02:55:36 UTC 2009 年 5 月 1 日 (金) 11 時 55 分 36 秒 (日本時間)
403e62111Jo Yeong UkMay 11, 2009 15:07:07 UTC 2009 年 5 月 12 日 (火) 0 時 7 分 7 秒 (日本時間)

2×10197-1

c182

name 名前suberi
date 日付March 6, 2007 06:11:58 UTC 2007 年 3 月 6 日 (火) 15 時 11 分 58 秒 (日本時間)
composite number 合成数
37096736724574154767359534869964219517025652474682690983280246709824759909347130487226874387277239140720264550825278458295010013217972644388048096899087293570466515397787543220805971<182>
prime factors 素因数
99635152957880897351925251119<29>
composite cofactor 合成数の残り
372325786866169441250327851059588119485775841500993243856730119954248515508380134433190793829593497441299946322830257214959074704367324446826072083886109<153>
factorization results 素因数分解の結果
Input number is 37096736724574154767359534869964219517025652474682690983280246709824759909347130487226874387277239140720264550825278458295010013217972644388048096899087293570466515397787543220805971 (182 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1950883594
Step 1 took 31109ms
Step 2 took 21938ms
********** Factor found in step 2: 99635152957880897351925251119
Found probable prime factor of 29 digits: 99635152957880897351925251119
Composite cofactor 372325786866169441250327851059588119485775841500993243856730119954248515508380134433190793829593497441299946322830257214959074704367324446826072083886109 has 153 digits
software ソフトウェア
GMP-ECM 6.1.2
execution environment 実行環境
Pentium 4 2.26GHz, Windows XP and Cygwin

c153

name 名前Jo Yeong Uk
date 日付December 13, 2009 09:42:09 UTC 2009 年 12 月 13 日 (日) 18 時 42 分 9 秒 (日本時間)
composite number 合成数
372325786866169441250327851059588119485775841500993243856730119954248515508380134433190793829593497441299946322830257214959074704367324446826072083886109<153>
prime factors 素因数
3106715592670622545052652201311870702958135715650492536479382258704707479<73>
119845468875413674461665854674334297323102627345704299514768319724130736097956971<81>
factorization results 素因数分解の結果
Number: 19999_197
N=372325786866169441250327851059588119485775841500993243856730119954248515508380134433190793829593497441299946322830257214959074704367324446826072083886109
  ( 153 digits)
SNFS difficulty: 197 digits.
Divisors found:
 r1=3106715592670622545052652201311870702958135715650492536479382258704707479
 r2=119845468875413674461665854674334297323102627345704299514768319724130736097956971
Version: 
Total time: 263.39 hours.
Scaled time: 628.18 units (timescale=2.385).
Factorization parameters were as follows:
n: 372325786866169441250327851059588119485775841500993243856730119954248515508380134433190793829593497441299946322830257214959074704367324446826072083886109
m: 2000000000000000000000000000000000000000
deg: 5
c5: 25
c0: -4
skew: 0.69
type: snfs
lss: 1
rlim: 14000000
alim: 14000000
lpbr: 29
lpba: 29
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14000000/14000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 55/55
Sieved rational special-q in [7000000, 13000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 33793998
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2655738 x 2655985
Total sieving time: 232.12 hours.
Total relation processing time: 10.63 hours.
Matrix solve time: 20.22 hours.
Time per square root: 0.41 hours.
Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,14000000,14000000,29,29,55,55,2.5,2.5,100000
total time: 263.39 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673795)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672307)
Calibrating delay using timer specific routine.. 5237.88 BogoMIPS (lpj=2618943)
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
2011e374Jo Yeong UkMay 1, 2009 02:55:47 UTC 2009 年 5 月 1 日 (金) 11 時 55 分 47 秒 (日本時間)
255e4204Jo Yeong UkMay 1, 2009 02:55:52 UTC 2009 年 5 月 1 日 (金) 11 時 55 分 52 秒 (日本時間)
3025e4403Jo Yeong UkMay 1, 2009 02:55:58 UTC 2009 年 5 月 1 日 (金) 11 時 55 分 58 秒 (日本時間)
351e6828Jo Yeong UkMay 1, 2009 02:56:08 UTC 2009 年 5 月 1 日 (金) 11 時 56 分 8 秒 (日本時間)
403e62111Jo Yeong UkMay 10, 2009 07:46:26 UTC 2009 年 5 月 10 日 (日) 16 時 46 分 26 秒 (日本時間)
4511e63974Jo Yeong UkOctober 25, 2009 15:30:58 UTC 2009 年 10 月 26 日 (月) 0 時 30 分 58 秒 (日本時間)

2×10199-1

c163

name 名前Jo Yeong Uk
date 日付April 19, 2009 13:28:34 UTC 2009 年 4 月 19 日 (日) 22 時 28 分 34 秒 (日本時間)
composite number 合成数
8017193398980115789611498508984984667086036428422295572972632192194297168351927795512719154924815800899613373920817281990053320592884375557748210291511125038597049<163>
prime factors 素因数
15088679290694653491630959079652649<35>
531338312951247025629014580036481987176765320031147478358915519016343794161299690194525950929141452320767635858987664888979395601<129>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 8017193398980115789611498508984984667086036428422295572972632192194297168351927795512719154924815800899613373920817281990053320592884375557748210291511125038597049 (163 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1624952013
Step 1 took 5507ms
********** Factor found in step 1: 15088679290694653491630959079652649
Found probable prime factor of 35 digits: 15088679290694653491630959079652649
Probable prime cofactor 531338312951247025629014580036481987176765320031147478358915519016343794161299690194525950929141452320767635858987664888979395601 has 129 digits
execution environment 実行環境
Core 2 Quad Q6700

2×10200-1

c173

name 名前Serge Batalov
date 日付October 21, 2008 02:27:54 UTC 2008 年 10 月 21 日 (火) 11 時 27 分 54 秒 (日本時間)
composite number 合成数
89707165468175431468242876668443041306408597496531846305891733652751374020871672965970014688495385650409588736388187709784925401919413331132163175712132272708923600482720193<173>
prime factors 素因数
22887618087703883422612434497873<32>
composite cofactor 合成数の残り
3919462703564142473698047873878421629698357069094950750629640809045036371942703314337013367544634521328393484746001349161465007919976067433841<142>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2533383244
Step 1 took 20761ms
Step 2 took 12781ms
********** Factor found in step 2: 22887618087703883422612434497873
Found probable prime factor of 32 digits: 22887618087703883422612434497873
Composite cofactor 3919462703564142473698047873878421629698357069094950750629640809045036371942703314337013367544634521328393484746001349161465007919976067433841 has 142 digits
software ソフトウェア
GMP-ECM 6.2.1

c142

name 名前Jo Yeong Uk
date 日付December 26, 2009 01:50:03 UTC 2009 年 12 月 26 日 (土) 10 時 50 分 3 秒 (日本時間)
composite number 合成数
3919462703564142473698047873878421629698357069094950750629640809045036371942703314337013367544634521328393484746001349161465007919976067433841<142>
prime factors 素因数
446230848885739862951514158743047799808097303689909318714879633<63>
8783486649009658366262878191277303628728254895476682026895585605704238396823777<79>
factorization results 素因数分解の結果
Number: 19999_200
N=3919462703564142473698047873878421629698357069094950750629640809045036371942703314337013367544634521328393484746001349161465007919976067433841
  ( 142 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=446230848885739862951514158743047799808097303689909318714879633
 r2=8783486649009658366262878191277303628728254895476682026895585605704238396823777
Version: 
Total time: 292.58 hours.
Scaled time: 698.68 units (timescale=2.388).
Factorization parameters were as follows:
n: 3919462703564142473698047873878421629698357069094950750629640809045036371942703314337013367544634521328393484746001349161465007919976067433841
m: 10000000000000000000000000000000000000000
deg: 5
c5: 2
c0: -1
skew: 0.87
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7500000, 13900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 37340287
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2846374 x 2846621
Total sieving time: 255.33 hours.
Total relation processing time: 12.54 hours.
Matrix solve time: 23.55 hours.
Time per square root: 1.16 hours.
Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,56,56,2.6,2.6,100000
total time: 292.58 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673795)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672307)
Calibrating delay using timer specific routine.. 5237.88 BogoMIPS (lpj=2618943)
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
2011e374Jo Yeong UkMay 1, 2009 02:56:25 UTC 2009 年 5 月 1 日 (金) 11 時 56 分 25 秒 (日本時間)
255e4204Jo Yeong UkMay 1, 2009 02:56:29 UTC 2009 年 5 月 1 日 (金) 11 時 56 分 29 秒 (日本時間)
3025e4403Jo Yeong UkMay 1, 2009 02:56:35 UTC 2009 年 5 月 1 日 (金) 11 時 56 分 35 秒 (日本時間)
351e6828Jo Yeong UkMay 1, 2009 02:56:40 UTC 2009 年 5 月 1 日 (金) 11 時 56 分 40 秒 (日本時間)
403e62111Jo Yeong UkMay 10, 2009 07:46:38 UTC 2009 年 5 月 10 日 (日) 16 時 46 分 38 秒 (日本時間)
4511e63974Jo Yeong UkOctober 25, 2009 15:31:12 UTC 2009 年 10 月 26 日 (月) 0 時 31 分 12 秒 (日本時間)

2×10202-1

c198

name 名前Robert Backstrom
date 日付April 28, 2010 22:35:48 UTC 2010 年 4 月 29 日 (木) 7 時 35 分 48 秒 (日本時間)
composite number 合成数
152617000007630850000381542500019077125000953856250047692812502384640625119232031255961601562798080078139904003906995200195349760009767488000488374400024418720001220936000061046800003052340000152617<198>
prime factors 素因数
10887269430851606110740157451334950006410956238169962350116393113059379144762607906298681010433<95>
14017931766725193798009993413128300665116551857940075373015027011867140655651019500253515393441382615849<104>
factorization results 素因数分解の結果
Number: n
N=152617000007630850000381542500019077125000953856250047692812502384640625119232031255961601562798080078139904003906995200195349760009767488000488374400024418720001220936000061046800003052340000152617
  ( 198 digits)
SNFS difficulty: 202 digits.
Divisors found:

Thu Apr 29 07:43:53 2010  prp95 factor: 10887269430851606110740157451334950006410956238169962350116393113059379144762607906298681010433
Thu Apr 29 07:43:53 2010  prp104 factor: 14017931766725193798009993413128300665116551857940075373015027011867140655651019500253515393441382615849
Thu Apr 29 07:43:53 2010  elapsed time 06:32:28 (Msieve 1.42 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.878).
Factorization parameters were as follows:
name: KA_1_9_202
n: 152617000007630850000381542500019077125000953856250047692812502384640625119232031255961601562798080078139904003906995200195349760009767488000488374400024418720001220936000061046800003052340000152617
m: 10000000000000000000000000000000000000000
deg: 5
c5: 200
c0: -1
skew: 0.35
type: snfs
lss: 1
rlim: 16500000
alim: 16500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16500000/16500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 15150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5065007 hash collisions in 34433423 relations
Msieve: matrix is 1940297 x 1940522 (545.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16500000,16500000,28,28,56,56,2.6,2.6,100000
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: 6060216k/7077888k available (3972k kernel code, 787972k absent, 229700k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.79 BogoMIPS (lpj=2798398)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44762.55 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61324118Makoto KamadaMay 17, 2009 04:00:00 UTC 2009 年 5 月 17 日 (日) 13 時 0 分 0 秒 (日本時間)
1206Andreas TeteJune 8, 2009 06:51:33 UTC 2009 年 6 月 8 日 (月) 15 時 51 分 33 秒 (日本時間)
403e6310Andreas TeteJune 8, 2009 07:17:34 UTC 2009 年 6 月 8 日 (月) 16 時 17 分 34 秒 (日本時間)
4511e6732 / 4351Dmitry DomanovJanuary 9, 2010 12:26:55 UTC 2010 年 1 月 9 日 (土) 21 時 26 分 55 秒 (日本時間)

2×10203-1

c174

composite cofactor 合成数の残り
206243505403495911597908087256138164868498356076098099558980803593541802611700028125565284467739707634286604953739495769406508417342502338966508299184706373918392466485058481<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 17, 2009 04:00:00 UTC 2009 年 5 月 17 日 (日) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 16, 2010 05:46:39 UTC 2010 年 9 月 16 日 (木) 14 時 46 分 39 秒 (日本時間)
403e62110110Ignacio SantosSeptember 16, 2010 05:46:39 UTC 2010 年 9 月 16 日 (木) 14 時 46 分 39 秒 (日本時間)
2000Markus TervoorenJanuary 3, 2011 02:03:32 UTC 2011 年 1 月 3 日 (月) 11 時 3 分 32 秒 (日本時間)
4511e6399532Ignacio SantosSeptember 16, 2010 05:46:39 UTC 2010 年 9 月 16 日 (木) 14 時 46 分 39 秒 (日本時間)
2000Markus TervoorenJanuary 3, 2011 02:03:32 UTC 2011 年 1 月 3 日 (月) 11 時 3 分 32 秒 (日本時間)
1100Markus TervoorenJanuary 8, 2011 11:01:51 UTC 2011 年 1 月 8 日 (土) 20 時 1 分 51 秒 (日本時間)
863KTakahashiMarch 29, 2015 02:48:02 UTC 2015 年 3 月 29 日 (日) 11 時 48 分 2 秒 (日本時間)
5043e624 / 6575KTakahashiMarch 29, 2015 06:16:51 UTC 2015 年 3 月 29 日 (日) 15 時 16 分 51 秒 (日本時間)

2×10205-1

c187

name 名前Serge Batalov
date 日付May 17, 2009 07:19:55 UTC 2009 年 5 月 17 日 (日) 16 時 19 分 55 秒 (日本時間)
composite number 合成数
1790731136122375020607181418411467773024421956253441641326477152671313050951675382344485229462909721582526865259890289305720383218074559479555532853196014412491078957316390761809580946589<187>
prime factors 素因数
1129082288029883803778855245661<31>
composite cofactor 合成数の残り
1586005869640370385835630004795171489748136970111735468000037034576203712150943132322655517008937091427800298435286635359428161072876813941823046361696157249<157>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3975420477
Step 1 took 12357ms
Step 2 took 11288ms
********** Factor found in step 2: 1129082288029883803778855245661
Found probable prime factor of 31 digits: 1129082288029883803778855245661
Composite cofactor has 157 digits
software ソフトウェア
GMP-ECM 6.2.3

c157

name 名前Ignacio Santos
date 日付September 16, 2010 05:44:45 UTC 2010 年 9 月 16 日 (木) 14 時 44 分 45 秒 (日本時間)
composite number 合成数
1586005869640370385835630004795171489748136970111735468000037034576203712150943132322655517008937091427800298435286635359428161072876813941823046361696157249<157>
prime factors 素因数
18267480823362442131123116525295271<35>
86821269170952872115709575612725419805572670772984827452764621752224307611971320114733839906029817493536229360718458620119<122>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=398694169
Step 1 took 6958ms
Step 2 took 4883ms
********** Factor found in step 2: 18267480823362442131123116525295271
Found probable prime factor of 35 digits: 18267480823362442131123116525295271
Probable prime cofactor 86821269170952872115709575612725419805572670772984827452764621752224307611971320114733839906029817493536229360718458620119 has 122 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 KamadaMay 17, 2009 04:00:00 UTC 2009 年 5 月 17 日 (日) 13 時 0 分 0 秒 (日本時間)

2×10206-1

c203

name 名前Dmitry Domanov
date 日付May 17, 2009 10:50:56 UTC 2009 年 5 月 17 日 (日) 19 時 50 分 56 秒 (日本時間)
composite number 合成数
16825103053756204256751072600319676958021367880878270379406073862202405989736687137208715403381845713804997055606965592664255068562294944056532346260620846302683603937074114578951796079750988474804408177<203>
prime factors 素因数
25251681423007905250365508795903<32>
composite cofactor 合成数の残り
666296345653486704742396440597318758413330523030411841134328740685319859888372657484412271028953068923412326473632165793283237236740121087632239829994708821140851105993359<171>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1034025118
Step 1 took 365484ms
Step 2 took 91844ms
********** Factor found in step 2: 25251681423007905250365508795903
Found probable prime factor of 32 digits: 25251681423007905250365508795903
Composite cofactor 666296345653486704742396440597318758413330523030411841134328740685319859888372657484412271028953068923412326473632165793283237236740121087632239829994708821140851105993359 has 171 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 17, 2009 04:00:00 UTC 2009 年 5 月 17 日 (日) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 16, 2010 05:47:19 UTC 2010 年 9 月 16 日 (木) 14 時 47 分 19 秒 (日本時間)
403e6110Ignacio SantosSeptember 16, 2010 05:47:19 UTC 2010 年 9 月 16 日 (木) 14 時 47 分 19 秒 (日本時間)
4511e6443740Dmitry DomanovMay 17, 2009 10:50:14 UTC 2009 年 5 月 17 日 (日) 19 時 50 分 14 秒 (日本時間)
32Ignacio SantosSeptember 16, 2010 05:47:19 UTC 2010 年 9 月 16 日 (木) 14 時 47 分 19 秒 (日本時間)
600Dmitry DomanovJanuary 16, 2011 00:36:56 UTC 2011 年 1 月 16 日 (日) 9 時 36 分 56 秒 (日本時間)
1265KTakahashiJuly 19, 2014 04:13:40 UTC 2014 年 7 月 19 日 (土) 13 時 13 分 40 秒 (日本時間)
2500KTakahashiMarch 26, 2015 20:38:03 UTC 2015 年 3 月 27 日 (金) 5 時 38 分 3 秒 (日本時間)

2×10207-1

c137

name 名前Andreas Tete
date 日付June 16, 2009 16:53:14 UTC 2009 年 6 月 17 日 (水) 1 時 53 分 14 秒 (日本時間)
composite number 合成数
12850641470474661004875505196236329003404849262692486716060856559801450057354066892544499120803880203791248408541006698806056308358968679<137>
prime factors 素因数
10018631606052288287701622273517610992315312691<47>
1282674318787362762030604322874622092382640612854027342323747789696130963429438316715523069<91>
factorization results 素因数分解の結果
Tue Jun 16 08:41:15 2009  Msieve v. 1.42
Tue Jun 16 08:41:15 2009  random seeds: e7048544 5712ebb3
Tue Jun 16 08:41:15 2009  factoring 12850641470474661004875505196236329003404849262692486716060856559801450057354066892544499120803880203791248408541006698806056308358968679 (137 digits)
Tue Jun 16 08:41:16 2009  searching for 15-digit factors
Tue Jun 16 08:41:19 2009  commencing number field sieve (137-digit input)
Tue Jun 16 08:41:19 2009  R0: -184938694941958480622306328
Tue Jun 16 08:41:19 2009  R1:  1210976711056969
Tue Jun 16 08:41:19 2009  A0: -389193885300554948797063324008702305
Tue Jun 16 08:41:19 2009  A1:  317170412277137560002579632698
Tue Jun 16 08:41:19 2009  A2:  342990442362395307028433
Tue Jun 16 08:41:19 2009  A3: -98772152073117598
Tue Jun 16 08:41:19 2009  A4: -12135218028
Tue Jun 16 08:41:19 2009  A5:  59400
Tue Jun 16 08:41:19 2009  skew 1751330.93, size 3.148758e-013, alpha -8.406469, combined = 3.071070e-011
Tue Jun 16 08:41:19 2009  
Tue Jun 16 08:41:19 2009  commencing relation filtering
Tue Jun 16 08:41:19 2009  commencing duplicate removal, pass 1
Tue Jun 16 08:42:58 2009  error -5 reading relation 7150400
Tue Jun 16 08:45:52 2009  found 4303051 hash collisions in 21013118 relations
Tue Jun 16 08:46:53 2009  added 117519 free relations
Tue Jun 16 08:46:53 2009  commencing duplicate removal, pass 2
Tue Jun 16 08:48:02 2009  found 4382890 duplicates and 16747746 unique relations
Tue Jun 16 08:48:02 2009  memory use: 106.6 MB
Tue Jun 16 08:48:02 2009  reading rational ideals above 15663104
Tue Jun 16 08:48:02 2009  reading algebraic ideals above 15663104
Tue Jun 16 08:48:02 2009  commencing singleton removal, pass 1
Tue Jun 16 08:51:52 2009  relations with 0 large ideals: 487570
Tue Jun 16 08:51:52 2009  relations with 1 large ideals: 2808823
Tue Jun 16 08:51:52 2009  relations with 2 large ideals: 5803004
Tue Jun 16 08:51:52 2009  relations with 3 large ideals: 5237520
Tue Jun 16 08:51:52 2009  relations with 4 large ideals: 2029946
Tue Jun 16 08:51:52 2009  relations with 5 large ideals: 271692
Tue Jun 16 08:51:52 2009  relations with 6 large ideals: 109191
Tue Jun 16 08:51:52 2009  relations with 7+ large ideals: 0
Tue Jun 16 08:51:52 2009  16747746 relations and about 15351641 large ideals
Tue Jun 16 08:51:52 2009  commencing singleton removal, pass 2
Tue Jun 16 08:56:10 2009  found 6725926 singletons
Tue Jun 16 08:56:10 2009  current dataset: 10021820 relations and about 7447053 large ideals
Tue Jun 16 08:56:10 2009  commencing singleton removal, pass 3
Tue Jun 16 08:58:55 2009  found 1478173 singletons
Tue Jun 16 08:58:55 2009  current dataset: 8543647 relations and about 5886766 large ideals
Tue Jun 16 08:58:55 2009  commencing singleton removal, pass 4
Tue Jun 16 09:01:34 2009  found 397854 singletons
Tue Jun 16 09:01:34 2009  current dataset: 8145793 relations and about 5481664 large ideals
Tue Jun 16 09:01:34 2009  commencing singleton removal, final pass
Tue Jun 16 09:04:43 2009  memory use: 133.2 MB
Tue Jun 16 09:04:43 2009  commencing in-memory singleton removal
Tue Jun 16 09:04:44 2009  begin with 8145793 relations and 6066424 unique ideals
Tue Jun 16 09:04:53 2009  reduce to 6656410 relations and 4531042 ideals in 14 passes
Tue Jun 16 09:04:53 2009  max relations containing the same ideal: 24
Tue Jun 16 09:04:55 2009  reading rational ideals above 720000
Tue Jun 16 09:04:55 2009  reading algebraic ideals above 720000
Tue Jun 16 09:04:55 2009  commencing singleton removal, final pass
Tue Jun 16 09:07:42 2009  keeping 6066245 ideals with weight <= 20, new excess is 496511
Tue Jun 16 09:07:53 2009  memory use: 182.1 MB
Tue Jun 16 09:07:53 2009  commencing in-memory singleton removal
Tue Jun 16 09:07:54 2009  begin with 6660230 relations and 6066245 unique ideals
Tue Jun 16 09:08:06 2009  reduce to 6551115 relations and 5938488 ideals in 12 passes
Tue Jun 16 09:08:06 2009  max relations containing the same ideal: 20
Tue Jun 16 09:08:11 2009  removing 247011 relations and 228674 ideals in 18337 cliques
Tue Jun 16 09:08:11 2009  commencing in-memory singleton removal
Tue Jun 16 09:08:12 2009  begin with 6304104 relations and 5938488 unique ideals
Tue Jun 16 09:08:20 2009  reduce to 6298481 relations and 5704165 ideals in 8 passes
Tue Jun 16 09:08:20 2009  max relations containing the same ideal: 20
Tue Jun 16 09:08:25 2009  removing 179348 relations and 161011 ideals in 18337 cliques
Tue Jun 16 09:08:25 2009  commencing in-memory singleton removal
Tue Jun 16 09:08:26 2009  begin with 6119133 relations and 5704165 unique ideals
Tue Jun 16 09:08:31 2009  reduce to 6115696 relations and 5539705 ideals in 6 passes
Tue Jun 16 09:08:31 2009  max relations containing the same ideal: 20
Tue Jun 16 09:08:33 2009  relations with 0 large ideals: 8428
Tue Jun 16 09:08:33 2009  relations with 1 large ideals: 98147
Tue Jun 16 09:08:33 2009  relations with 2 large ideals: 511881
Tue Jun 16 09:08:33 2009  relations with 3 large ideals: 1359789
Tue Jun 16 09:08:33 2009  relations with 4 large ideals: 1976358
Tue Jun 16 09:08:33 2009  relations with 5 large ideals: 1508005
Tue Jun 16 09:08:33 2009  relations with 6 large ideals: 549511
Tue Jun 16 09:08:33 2009  relations with 7+ large ideals: 103577
Tue Jun 16 09:08:33 2009  commencing 2-way merge
Tue Jun 16 09:08:40 2009  reduce to 3654554 relation sets and 3078563 unique ideals
Tue Jun 16 09:08:40 2009  commencing full merge
Tue Jun 16 09:09:49 2009  memory use: 277.3 MB
Tue Jun 16 09:09:50 2009  found 1863902 cycles, need 1788763
Tue Jun 16 09:09:50 2009  weight of 1788763 cycles is about 125390665 (70.10/cycle)
Tue Jun 16 09:09:50 2009  distribution of cycle lengths:
Tue Jun 16 09:09:50 2009  1 relations: 214445
Tue Jun 16 09:09:50 2009  2 relations: 230761
Tue Jun 16 09:09:50 2009  3 relations: 226678
Tue Jun 16 09:09:50 2009  4 relations: 200070
Tue Jun 16 09:09:50 2009  5 relations: 173029
Tue Jun 16 09:09:50 2009  6 relations: 144276
Tue Jun 16 09:09:50 2009  7 relations: 120117
Tue Jun 16 09:09:50 2009  8 relations: 100783
Tue Jun 16 09:09:50 2009  9 relations: 82547
Tue Jun 16 09:09:50 2009  10+ relations: 296057
Tue Jun 16 09:09:50 2009  heaviest cycle: 19 relations
Tue Jun 16 09:09:51 2009  commencing cycle optimization
Tue Jun 16 09:09:55 2009  start with 9955039 relations
Tue Jun 16 09:10:24 2009  pruned 243613 relations
Tue Jun 16 09:10:24 2009  memory use: 266.1 MB
Tue Jun 16 09:10:24 2009  distribution of cycle lengths:
Tue Jun 16 09:10:24 2009  1 relations: 214445
Tue Jun 16 09:10:24 2009  2 relations: 236371
Tue Jun 16 09:10:24 2009  3 relations: 235532
Tue Jun 16 09:10:24 2009  4 relations: 204943
Tue Jun 16 09:10:24 2009  5 relations: 176486
Tue Jun 16 09:10:24 2009  6 relations: 145380
Tue Jun 16 09:10:24 2009  7 relations: 120359
Tue Jun 16 09:10:24 2009  8 relations: 99668
Tue Jun 16 09:10:24 2009  9 relations: 80917
Tue Jun 16 09:10:24 2009  10+ relations: 274662
Tue Jun 16 09:10:24 2009  heaviest cycle: 19 relations
Tue Jun 16 09:10:27 2009  RelProcTime: 1388
Tue Jun 16 09:10:27 2009  
Tue Jun 16 09:10:27 2009  commencing linear algebra
Tue Jun 16 09:10:28 2009  read 1788763 cycles
Tue Jun 16 09:10:33 2009  cycles contain 5592553 unique relations
Tue Jun 16 09:12:10 2009  read 5592553 relations
Tue Jun 16 09:12:22 2009  using 20 quadratic characters above 268435034
Tue Jun 16 09:13:00 2009  building initial matrix
Tue Jun 16 09:14:39 2009  memory use: 666.8 MB
Tue Jun 16 09:15:01 2009  read 1788763 cycles
Tue Jun 16 09:15:04 2009  matrix is 1788464 x 1788763 (515.1 MB) with weight 170626373 (95.39/col)
Tue Jun 16 09:15:04 2009  sparse part has weight 120728082 (67.49/col)
Tue Jun 16 09:15:46 2009  filtering completed in 3 passes
Tue Jun 16 09:15:47 2009  matrix is 1778355 x 1778555 (513.7 MB) with weight 170014583 (95.59/col)
Tue Jun 16 09:15:47 2009  sparse part has weight 120432214 (67.71/col)
Tue Jun 16 09:16:17 2009  read 1778555 cycles
Tue Jun 16 09:16:20 2009  matrix is 1778355 x 1778555 (513.7 MB) with weight 170014583 (95.59/col)
Tue Jun 16 09:16:20 2009  sparse part has weight 120432214 (67.71/col)
Tue Jun 16 09:16:20 2009  saving the first 48 matrix rows for later
Tue Jun 16 09:16:21 2009  matrix is 1778307 x 1778555 (491.3 MB) with weight 135611324 (76.25/col)
Tue Jun 16 09:16:21 2009  sparse part has weight 118111865 (66.41/col)
Tue Jun 16 09:16:21 2009  matrix includes 64 packed rows
Tue Jun 16 09:16:21 2009  using block size 65536 for processor cache size 3072 kB
Tue Jun 16 09:16:37 2009  commencing Lanczos iteration
Tue Jun 16 09:16:37 2009  memory use: 489.2 MB
Tue Jun 16 18:00:35 2009  lanczos halted after 28124 iterations (dim = 1778306)
Tue Jun 16 18:00:41 2009  recovered 30 nontrivial dependencies
Tue Jun 16 18:00:41 2009  BLanczosTime: 31814
Tue Jun 16 18:00:41 2009  
Tue Jun 16 18:00:41 2009  commencing square root phase
Tue Jun 16 18:00:41 2009  reading relations for dependency 1
Tue Jun 16 18:00:43 2009  read 889064 cycles
Tue Jun 16 18:00:46 2009  cycles contain 3390342 unique relations
Tue Jun 16 18:01:49 2009  read 3390342 relations
Tue Jun 16 18:02:12 2009  multiplying 2790492 relations
Tue Jun 16 18:10:35 2009  multiply complete, coefficients have about 135.95 million bits
Tue Jun 16 18:10:41 2009  initial square root is modulo 75679
Tue Jun 16 18:24:12 2009  sqrtTime: 1411
Tue Jun 16 18:24:12 2009  prp47 factor: 10018631606052288287701622273517610992315312691
Tue Jun 16 18:24:12 2009  prp91 factor: 1282674318787362762030604322874622092382640612854027342323747789696130963429438316715523069
Tue Jun 16 18:24:12 2009  elapsed time 09:42:57
total time 358,5 hours
software ソフトウェア
Msieve v. 1.42 / GGNFS / Msieve v. 1.42
execution environment 実行環境
Intel Core 2 Duo / Windows Vista 32bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 17, 2009 04:00:00 UTC 2009 年 5 月 17 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiMay 25, 2009 00:31:13 UTC 2009 年 5 月 25 日 (月) 9 時 31 分 13 秒 (日本時間)

2×10208-1

c167

composite cofactor 合成数の残り
94600361508194417808845189664460761795365750560873194715127655656396575836163788368086818879930145147365854243279065054512833388878881284857599529159076473575765237927<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 17, 2009 04:00:00 UTC 2009 年 5 月 17 日 (日) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 16, 2010 05:47:48 UTC 2010 年 9 月 16 日 (木) 14 時 47 分 48 秒 (日本時間)
403e6110Ignacio SantosSeptember 16, 2010 05:47:48 UTC 2010 年 9 月 16 日 (木) 14 時 47 分 48 秒 (日本時間)
4511e6443732Ignacio SantosSeptember 16, 2010 05:47:48 UTC 2010 年 9 月 16 日 (木) 14 時 47 分 48 秒 (日本時間)
600Dmitry DomanovJanuary 16, 2011 00:36:08 UTC 2011 年 1 月 16 日 (日) 9 時 36 分 8 秒 (日本時間)
1305KTakahashiJuly 18, 2014 03:25:26 UTC 2014 年 7 月 18 日 (金) 12 時 25 分 26 秒 (日本時間)
2500KTakahashiMarch 22, 2015 18:06:15 UTC 2015 年 3 月 23 日 (月) 3 時 6 分 15 秒 (日本時間)

2×10209-1

c179

composite cofactor 合成数の残り
46464939100042697600614425001664512760626535616435264062210365888932453527175575025017747970911072980754755948405481423013229367366413363421783102983893777684592394221438848150259<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 17, 2009 04:00:00 UTC 2009 年 5 月 17 日 (日) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 16, 2010 05:48:23 UTC 2010 年 9 月 16 日 (木) 14 時 48 分 23 秒 (日本時間)
403e6110Ignacio SantosSeptember 16, 2010 05:48:23 UTC 2010 年 9 月 16 日 (木) 14 時 48 分 23 秒 (日本時間)
4511e6193232Ignacio SantosSeptember 16, 2010 05:48:23 UTC 2010 年 9 月 16 日 (木) 14 時 48 分 23 秒 (日本時間)
600Dmitry DomanovJanuary 16, 2011 00:34:51 UTC 2011 年 1 月 16 日 (日) 9 時 34 分 51 秒 (日本時間)
1300Dmitry DomanovSeptember 12, 2016 09:43:15 UTC 2016 年 9 月 12 日 (月) 18 時 43 分 15 秒 (日本時間)
5043e6720 / 7113Dmitry DomanovOctober 19, 2016 23:50:43 UTC 2016 年 10 月 20 日 (木) 8 時 50 分 43 秒 (日本時間)

2×10212-1

c211

name 名前Robert Backstrom
date 日付July 24, 2009 10:38:11 UTC 2009 年 7 月 24 日 (金) 19 時 38 分 11 秒 (日本時間)
composite number 合成数
8695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913<211>
prime factors 素因数
2659264777745734405392508581327747941839503713<46>
2624192453344997234656310661787467697906712795425020425430953<61>
1246077046444953259325719448796658447093073224853980853958734916369485280891634235590281319558742952446417<106>
factorization results 素因数分解の結果
Number: n
N=8695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913
  ( 211 digits)
SNFS difficulty: 213 digits.
Divisors found:

Fri Jul 24 20:24:31 2009  prp46 factor: 2659264777745734405392508581327747941839503713
Fri Jul 24 20:24:31 2009  prp61 factor: 2624192453344997234656310661787467697906712795425020425430953
Fri Jul 24 20:24:31 2009  prp106 factor: 1246077046444953259325719448796658447093073224853980853958734916369485280891634235590281319558742952446417
Fri Jul 24 20:24:31 2009  elapsed time 39:56:00 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20050930-k8
Total time: 95.16 hours.
Scaled time: 191.65 units (timescale=2.014).
Factorization parameters were as follows:
name: KA_1_9_212
n: 8695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913
m: 200000000000000000000000000000000000
deg: 6
c6: 25
c0: -8
skew: 0.83
type: snfs
lss: 1
rlim: 25000000
alim: 25000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 25000000/25000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [12500000, 30599990)
Primes: RFBsize:1565927, AFBsize:1563644, largePrimes:38836401 encountered
Relations: rels:36263602, finalFF:1107921
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8322646 hash collisions in 48064285 relations
Msieve: matrix is 4525782 x 4526029 (1218.8 MB)

Total sieving time: 94.03 hours.
Total relation processing time: 1.13 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,213,6,0,0,0,0,0,0,0,0,25000000,25000000,29,29,58,58,2.6,2.6,100000
total time: 95.16 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: 3352056k/3407296k available (3119k kernel code, 53956k reserved, 1894k data, 424k init, 2502088k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.68 BogoMIPS (lpj=2830844)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830456)
Total of 4 processors activated (22644.41 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 17, 2009 04:00:00 UTC 2009 年 5 月 17 日 (日) 13 時 0 分 0 秒 (日本時間)
403e60 / 1283--
4511e6300 / 4475Dmitry DomanovMay 18, 2009 22:56:05 UTC 2009 年 5 月 19 日 (火) 7 時 56 分 5 秒 (日本時間)

2×10214-1

c150

name 名前Maksym Voznyy
date 日付March 18, 2015 12:17:10 UTC 2015 年 3 月 18 日 (水) 21 時 17 分 10 秒 (日本時間)
composite number 合成数
615099809895091898670886860215714256707251973200636112364342237811652291980354324592432834671548674627742658656305609268579024525475061012264371017889<150>
prime factors 素因数
4527679177526271288878246116902813487115348661250329601<55>
135853223202787949610434952210566450405247369397335279146560176050361418950930870598873587043489<96>
factorization results 素因数分解の結果
Sun Mar 08 09:27:19 2015 -> factmsieve.py (v0.76)
Sun Mar 08 09:27:19 2015 -> This is client 1 of 1
Sun Mar 08 09:27:19 2015 -> Running on 4 Cores with 1 hyper-thread per Core
Sun Mar 08 09:27:19 2015 -> Working with NAME = example8
Sun Mar 08 09:27:19 2015 -> Running polynomial selection ...
Sun Mar 08 09:27:19 2015  Msieve v. 1.53 (SVN 967)
Sun Mar 08 09:27:19 2015  random seeds: 1d90a3a4 54fac413
Sun Mar 08 09:27:19 2015  factoring 615099809895091898670886860215714256707251973200636112364342237811652291980354324592432834671548674627742658656305609268579024525475061012264371017889 (150 digits)
Sun Mar 08 09:27:20 2015  searching for 15-digit factors
Sun Mar 08 09:27:30 2015  commencing number field sieve (150-digit input)
Sun Mar 08 09:27:30 2015  commencing number field sieve polynomial selection
Sun Mar 08 09:27:30 2015  polynomial degree: 5
Sun Mar 08 09:27:30 2015  max stage 1 norm: 9.78e+022
Sun Mar 08 09:27:30 2015  max stage 2 norm: 1.37e+021
Sun Mar 08 09:27:30 2015  min E-value: 4.48e-012
Sun Mar 08 09:27:30 2015  poly select deadline: 704166
Sun Mar 08 09:27:30 2015  time limit set to 195.60 CPU-hours
Sun Mar 08 09:27:30 2015  expecting poly E from 5.23e-012 to > 6.01e-012
Sun Mar 08 09:27:30 2015  searching leading coefficients from 1 to 10287883
Sun Mar 08 09:27:30 2015  using GPU 0 (GeForce GT 430)
Sun Mar 08 09:27:30 2015  selected card has CUDA arch 2.1
Mon Mar 09 11:52:32 2015  polynomial selection complete
Mon Mar 09 11:52:32 2015  R0: -247673416461764043992479338235
Mon Mar 09 11:52:32 2015  R1: 18879429012264803
Mon Mar 09 11:52:32 2015  A0: 57913647223737861307241356333958259648
Mon Mar 09 11:52:32 2015  A1: 9367663206245802944512919988760
Mon Mar 09 11:52:32 2015  A2: -5530467596105808083380874
Mon Mar 09 11:52:32 2015  A3: -628478595509367815
Mon Mar 09 11:52:32 2015  A4: 93354161928
Mon Mar 09 11:52:32 2015  A5: 660
Mon Mar 09 11:52:32 2015  skew 8895022.76, size 1.421e-014, alpha -6.559, combined = 5.330e-012 rroots = 5
Mon Mar 09 11:52:32 2015  elapsed time 26:25:13

Mon Mar 09 11:56:26 2015 -> factmsieve.py (v0.76)
Mon Mar 09 11:56:26 2015 -> Running on 10 Cores with 1 hyper-thread per Core
Mon Mar 09 11:56:26 2015 -> Selected lattice siever: gnfs-lasieve4I14e

gnfs-lasieve4I14e on 10 cores for 7.5 days

Mon Mar 16 20:04:02 2015  commencing relation filtering
Mon Mar 16 20:04:02 2015  estimated available RAM is 2048.0 MB
Mon Mar 16 20:04:02 2015  commencing duplicate removal, pass 1
Mon Mar 16 20:20:46 2015  skipped 27 relations with composite factors
Mon Mar 16 20:20:46 2015  found 10856254 hash collisions in 53210576 relations
Mon Mar 16 20:22:35 2015  added 121954 free relations
Mon Mar 16 20:22:35 2015  commencing duplicate removal, pass 2
Mon Mar 16 20:25:49 2015  found 11385085 duplicates and 41947445 unique relations
Mon Mar 16 20:25:49 2015  memory use: 330.4 MB
Mon Mar 16 20:25:49 2015  reading ideals above 29818880
Mon Mar 16 20:25:49 2015  commencing singleton removal, initial pass
Mon Mar 16 20:36:23 2015  memory use: 753.0 MB
Mon Mar 16 20:36:23 2015  reading all ideals from disk
Mon Mar 16 20:36:30 2015  memory use: 723.1 MB
Mon Mar 16 20:36:35 2015  commencing in-memory singleton removal
Mon Mar 16 20:36:40 2015  begin with 41947444 relations and 39925770 unique ideals
Mon Mar 16 20:37:40 2015  reduce to 20153598 relations and 15018794 ideals in 21 passes
Mon Mar 16 20:37:40 2015  max relations containing the same ideal: 37
Mon Mar 16 20:37:54 2015  reading ideals above 720000
Mon Mar 16 20:37:54 2015  commencing singleton removal, initial pass
Mon Mar 16 20:45:11 2015  memory use: 376.5 MB
Mon Mar 16 20:45:11 2015  reading all ideals from disk
Mon Mar 16 20:45:23 2015  memory use: 696.8 MB
Mon Mar 16 20:45:29 2015  keeping 18586608 ideals with weight <= 200, target excess is 124766
Mon Mar 16 20:45:34 2015  commencing in-memory singleton removal
Mon Mar 16 20:45:40 2015  begin with 20153641 relations and 18586608 unique ideals
Mon Mar 16 20:46:46 2015  reduce to 20121301 relations and 18554099 ideals in 13 passes
Mon Mar 16 20:46:46 2015  max relations containing the same ideal: 200
Mon Mar 16 20:47:11 2015  removing 2899129 relations and 2499129 ideals in 400000 cliques
Mon Mar 16 20:47:13 2015  commencing in-memory singleton removal
Mon Mar 16 20:47:18 2015  begin with 17222172 relations and 18554099 unique ideals
Mon Mar 16 20:48:10 2015  reduce to 16892373 relations and 15716648 ideals in 12 passes
Mon Mar 16 20:48:10 2015  max relations containing the same ideal: 183
Mon Mar 16 20:48:32 2015  removing 2192580 relations and 1792580 ideals in 400000 cliques
Mon Mar 16 20:48:33 2015  commencing in-memory singleton removal
Mon Mar 16 20:48:37 2015  begin with 14699793 relations and 15716648 unique ideals
Mon Mar 16 20:49:11 2015  reduce to 14472784 relations and 13691746 ideals in 9 passes
Mon Mar 16 20:49:11 2015  max relations containing the same ideal: 168
Mon Mar 16 20:49:30 2015  removing 1980519 relations and 1580519 ideals in 400000 cliques
Mon Mar 16 20:49:31 2015  commencing in-memory singleton removal
Mon Mar 16 20:49:35 2015  begin with 12492265 relations and 13691746 unique ideals
Mon Mar 16 20:50:00 2015  reduce to 12277700 relations and 11891221 ideals in 8 passes
Mon Mar 16 20:50:00 2015  max relations containing the same ideal: 147
Mon Mar 16 20:50:16 2015  removing 1270286 relations and 1028536 ideals in 241750 cliques
Mon Mar 16 20:50:17 2015  commencing in-memory singleton removal
Mon Mar 16 20:50:21 2015  begin with 11007414 relations and 11891221 unique ideals
Mon Mar 16 20:50:43 2015  reduce to 10910047 relations and 10763575 ideals in 8 passes
Mon Mar 16 20:50:43 2015  max relations containing the same ideal: 136
Mon Mar 16 20:51:00 2015  relations with 0 large ideals: 520
Mon Mar 16 20:51:00 2015  relations with 1 large ideals: 320
Mon Mar 16 20:51:00 2015  relations with 2 large ideals: 7768
Mon Mar 16 20:51:00 2015  relations with 3 large ideals: 78408
Mon Mar 16 20:51:00 2015  relations with 4 large ideals: 419967
Mon Mar 16 20:51:00 2015  relations with 5 large ideals: 1322033
Mon Mar 16 20:51:00 2015  relations with 6 large ideals: 2568379
Mon Mar 16 20:51:00 2015  relations with 7+ large ideals: 6512652
Mon Mar 16 20:51:00 2015  commencing 2-way merge
Mon Mar 16 20:51:21 2015  reduce to 6560506 relation sets and 6414034 unique ideals
Mon Mar 16 20:51:21 2015  commencing full merge
Mon Mar 16 20:54:14 2015  memory use: 682.7 MB
Mon Mar 16 20:54:16 2015  found 3487075 cycles, need 3466234
Mon Mar 16 20:54:16 2015  weight of 3466234 cycles is about 242694398 (70.02/cycle)
Mon Mar 16 20:54:16 2015  distribution of cycle lengths:
Mon Mar 16 20:54:16 2015  1 relations: 473906
Mon Mar 16 20:54:16 2015  2 relations: 426512
Mon Mar 16 20:54:16 2015  3 relations: 415963
Mon Mar 16 20:54:16 2015  4 relations: 380254
Mon Mar 16 20:54:16 2015  5 relations: 339977
Mon Mar 16 20:54:16 2015  6 relations: 296587
Mon Mar 16 20:54:16 2015  7 relations: 257440
Mon Mar 16 20:54:16 2015  8 relations: 215938
Mon Mar 16 20:54:16 2015  9 relations: 175070
Mon Mar 16 20:54:16 2015  10+ relations: 484587
Mon Mar 16 20:54:16 2015  heaviest cycle: 20 relations
Mon Mar 16 20:54:19 2015  commencing cycle optimization
Mon Mar 16 20:54:28 2015  start with 18516066 relations
Mon Mar 16 20:55:11 2015  pruned 393429 relations
Mon Mar 16 20:55:11 2015  memory use: 503.4 MB
Mon Mar 16 20:55:11 2015  distribution of cycle lengths:
Mon Mar 16 20:55:11 2015  1 relations: 473906
Mon Mar 16 20:55:11 2015  2 relations: 435458
Mon Mar 16 20:55:11 2015  3 relations: 429325
Mon Mar 16 20:55:11 2015  4 relations: 388001
Mon Mar 16 20:55:11 2015  5 relations: 346775
Mon Mar 16 20:55:11 2015  6 relations: 299689
Mon Mar 16 20:55:11 2015  7 relations: 259153
Mon Mar 16 20:55:11 2015  8 relations: 214794
Mon Mar 16 20:55:11 2015  9 relations: 172428
Mon Mar 16 20:55:11 2015  10+ relations: 446705
Mon Mar 16 20:55:11 2015  heaviest cycle: 20 relations
Mon Mar 16 20:55:46 2015  RelProcTime: 3104
Mon Mar 16 20:55:46 2015  elapsed time 00:51:56

Mon Mar 16 21:17:14 2015 -> Running matrix solving step ...
Mon Mar 16 21:17:25 2015  commencing linear algebra
Mon Mar 16 21:17:27 2015  read 3466234 cycles
Mon Mar 16 21:17:36 2015  cycles contain 10770354 unique relations
Mon Mar 16 21:20:35 2015  read 10770354 relations
Mon Mar 16 21:21:01 2015  using 20 quadratic characters above 536869550
Mon Mar 16 21:22:03 2015  building initial matrix
Mon Mar 16 21:25:18 2015  memory use: 1332.3 MB
Mon Mar 16 21:25:49 2015  read 3466234 cycles
Mon Mar 16 21:25:51 2015  matrix is 3466055 x 3466234 (1001.5 MB) with weight 332970998 (96.06/col)
Mon Mar 16 21:25:51 2015  sparse part has weight 234809128 (67.74/col)
Mon Mar 16 21:26:53 2015  filtering completed in 2 passes
Mon Mar 16 21:26:55 2015  matrix is 3464486 x 3464665 (1001.4 MB) with weight 332914165 (96.09/col)
Mon Mar 16 21:26:55 2015  sparse part has weight 234796636 (67.77/col)
Mon Mar 16 21:35:13 2015  matrix starts at (0, 0)
Mon Mar 16 21:35:14 2015  matrix is 3464486 x 3464665 (1001.4 MB) with weight 332914165 (96.09/col)
Mon Mar 16 21:35:14 2015  sparse part has weight 234796636 (67.77/col)
Mon Mar 16 21:35:14 2015  saving the first 48 matrix rows for later
Mon Mar 16 21:35:15 2015  matrix includes 64 packed rows
Mon Mar 16 21:35:16 2015  matrix is 3464438 x 3464665 (964.6 MB) with weight 264845241 (76.44/col)
Mon Mar 16 21:35:16 2015  sparse part has weight 232065091 (66.98/col)
Mon Mar 16 21:35:16 2015  using block size 8192 and superblock size 393216 for processor cache size 4096 kB
Mon Mar 16 21:35:49 2015  commencing Lanczos iteration (4 threads)
Mon Mar 16 21:35:49 2015  memory use: 815.1 MB
Mon Mar 16 21:36:30 2015  linear algebra at 0.0%, ETA 24h42m
Mon Mar 16 21:36:43 2015  checkpointing every 140000 dimensions
Tue Mar 17 23:30:23 2015  lanczos halted after 54788 iterations (dim = 3464438)
Tue Mar 17 23:31:15 2015  recovered 31 nontrivial dependencies
Tue Mar 17 23:31:21 2015  BLanczosTime: 94436
Tue Mar 17 23:31:21 2015  elapsed time 26:14:07

Tue Mar 17 23:31:22 2015 -> Running square root step ...
Tue Mar 17 23:31:34 2015  commencing square root phase
Tue Mar 17 23:31:34 2015  reading relations for dependency 1
Tue Mar 17 23:31:37 2015  read 1732742 cycles
Tue Mar 17 23:31:42 2015  cycles contain 5386400 unique relations
Tue Mar 17 23:33:32 2015  read 5386400 relations
Tue Mar 17 23:34:55 2015  multiplying 5386400 relations
Wed Mar 18 00:35:29 2015  multiply complete, coefficients have about 256.37 million bits
Wed Mar 18 00:35:51 2015  initial square root is modulo 1586359699
Wed Mar 18 01:55:56 2015  GCD is N, no factor found
Wed Mar 18 01:55:56 2015  reading relations for dependency 2
Wed Mar 18 01:56:00 2015  read 1733112 cycles
Wed Mar 18 01:56:04 2015  cycles contain 5384294 unique relations
Wed Mar 18 01:58:33 2015  read 5384294 relations
Wed Mar 18 01:59:54 2015  multiplying 5384294 relations
Wed Mar 18 03:00:29 2015  multiply complete, coefficients have about 256.27 million bits
Wed Mar 18 03:00:51 2015  initial square root is modulo 1573421387
Wed Mar 18 04:20:55 2015  sqrtTime: 17361
Wed Mar 18 04:20:55 2015  prp55 factor: 4527679177526271288878246116902813487115348661250329601
Wed Mar 18 04:20:55 2015  prp96 factor: 135853223202787949610434952210566450405247369397335279146560176050361418950930870598873587043489
Wed Mar 18 04:20:55 2015  elapsed time 04:49:32

Wed Mar 18 04:20:56 2015 -> Computing 1.42667e+09 scale for this machine...
Wed Mar 18 04:20:56 2015 -> procrels -speedtest> PIPE
Wed Mar 18 04:21:06 2015 -> Factorization summary written to g150-example8.txt

Number: example8
N = 615099809895091898670886860215714256707251973200636112364342237811652291980354324592432834671548674627742658656305609268579024525475061012264371017889 (150 digits)
Divisors found:
r2=4527679177526271288878246116902813487115348661250329601 (pp55)
r18=135853223202787949610434952210566450405247369397335279146560176050361418950930870598873587043489 (pp96)
Version: Msieve v. 1.53 (SVN 967)
Total time: 756.23 hours.
Factorization parameters were as follows:
n: 615099809895091898670886860215714256707251973200636112364342237811652291980354324592432834671548674627742658656305609268579024525475061012264371017889
Y0: -247673416461764043992479338235
Y1: 18879429012264803
c0: 57913647223737861307241356333958259648
c1: 9367663206245802944512919988760
c2: -5530467596105808083380874
c3: -628478595509367815
c4: 93354161928
c5: 660
skew: 8895022.76
type: gnfs
Factor base limits: 20800000/20800000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [0, 0)
Total raw relations: 0
Relations: 5384294 relations
Pruned matrix : 3464438 x 3464665
Polynomial selection time: 0.00 hours.
Total sieving time: 674.58 hours.
Total relation processing time: 2.58 hours.
Matrix solve time: 70.22 hours.
time per square root: 8.85 hours.
Prototype def-par.txt line would be: gnfs,149,5,65,2000,1e-05,0.28,250,20,50000,3600,20800000,20800000,29,29,58,58,2.6,2.6,100000
total time: 756.23 hours.
x86 Family 6 Model 15 Stepping 6, GenuineIntel
Windows-XP-5.1.2600-SP3
processors: 4, speed: 2.66GHz
execution environment 実行環境
sieving on 4 cores in 32 bit Windows XP and on 6 cores in 64 bit Windows 7; processing in 32 bit Windows XP

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 17, 2009 04:00:00 UTC 2009 年 5 月 17 日 (日) 13 時 0 分 0 秒 (日本時間)
403e6400Serge BatalovMay 19, 2009 05:47:25 UTC 2009 年 5 月 19 日 (火) 14 時 47 分 25 秒 (日本時間)
4511e638251000Dmitry DomanovJune 19, 2009 18:39:16 UTC 2009 年 6 月 20 日 (土) 3 時 39 分 16 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:07 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 7 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:09 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 9 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:09 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 9 秒 (日本時間)
675KTakahashiJune 8, 2014 21:18:24 UTC 2014 年 6 月 9 日 (月) 6 時 18 分 24 秒 (日本時間)
5043e6160 / 6679yoyo@homeJanuary 19, 2010 04:15:52 UTC 2010 年 1 月 19 日 (火) 13 時 15 分 52 秒 (日本時間)

2×10215-1

c177

name 名前Dmitry Domanov
date 日付September 12, 2016 12:54:40 UTC 2016 年 9 月 12 日 (月) 21 時 54 分 40 秒 (日本時間)
composite number 合成数
569790481640051694744649391004287838911334026893423499540066814716624096602559281535141904049106552979741185532515117001691178227913495022385337207379158734679156381052899336309<177>
prime factors 素因数
5647867226197265737178521409151356032975171<43>
100885955497876350459801214147186643323219778125710043383860749253138995567501898917844183928490667984665423619911084339929735901691879<135>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4157263564
Step 1 took 63652ms
Step 2 took 20895ms
********** Factor found in step 2: 5647867226197265737178521409151356032975171
Found probable prime factor of 43 digits: 5647867226197265737178521409151356032975171

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 17, 2009 04:00:00 UTC 2009 年 5 月 17 日 (日) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 16, 2010 05:49:19 UTC 2010 年 9 月 16 日 (木) 14 時 49 分 19 秒 (日本時間)
403e6110Ignacio SantosSeptember 16, 2010 05:49:19 UTC 2010 年 9 月 16 日 (木) 14 時 49 分 19 秒 (日本時間)
4511e61932 / 443732Ignacio SantosSeptember 16, 2010 05:49:19 UTC 2010 年 9 月 16 日 (木) 14 時 49 分 19 秒 (日本時間)
600Dmitry DomanovJanuary 16, 2011 00:34:21 UTC 2011 年 1 月 16 日 (日) 9 時 34 分 21 秒 (日本時間)
1300Dmitry DomanovSeptember 12, 2016 11:45:18 UTC 2016 年 9 月 12 日 (月) 20 時 45 分 18 秒 (日本時間)

2×10216-1

c212

name 名前Robert Backstrom
date 日付July 5, 2009 08:03:34 UTC 2009 年 7 月 5 日 (日) 17 時 3 分 34 秒 (日本時間)
composite number 合成数
15640762956417014021943990427853070672787418570277858153920748254099834989950809800502068490900986150104402092734083568596476136105919246740856018956604703177420994596116398557921655418351307176764082551946883969<212>
prime factors 素因数
361107090626796555790432520736349127614104388447835771607771886723658185918374320268583<87>
43313364268944003504537958096108351815974418622703052728674628970748248006983423154634967569396860724808442556827278605720343<125>
factorization results 素因数分解の結果
Number: n
N=15640762956417014021943990427853070672787418570277858153920748254099834989950809800502068490900986150104402092734083568596476136105919246740856018956604703177420994596116398557921655418351307176764082551946883969
  ( 212 digits)
SNFS difficulty: 216 digits.
Divisors found:

Sun Jul  5 17:47:36 2009  prp87 factor: 361107090626796555790432520736349127614104388447835771607771886723658185918374320268583
Sun Jul  5 17:47:36 2009  prp125 factor: 43313364268944003504537958096108351815974418622703052728674628970748248006983423154634967569396860724808442556827278605720343
Sun Jul  5 17:47:36 2009  elapsed time 48:29:06 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20050930-k8
Total time: 137.94 hours.
Scaled time: 277.95 units (timescale=2.015).
Factorization parameters were as follows:
name: KA_1_9_216
n: 15640762956417014021943990427853070672787418570277858153920748254099834989950809800502068490900986150104402092734083568596476136105919246740856018956604703177420994596116398557921655418351307176764082551946883969
m: 1000000000000000000000000000000000000
deg: 6
c6: 2
c0: -1
skew: 0.89
type: snfs
lss: 1
rlim: 28000000
alim: 28000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 28000000/28000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [14000000, 39599990)
Primes: RFBsize:1741430, AFBsize:1740559, largePrimes:38050311 encountered
Relations: rels:34729186, finalFF:1144510
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8345464 hash collisions in 49109482 relations
Msieve: matrix is 4939937 x 4940185 (1333.9 MB)

Total sieving time: 136.84 hours.
Total relation processing time: 1.10 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,216,6,0,0,0,0,0,0,0,0,28000000,28000000,29,29,58,58,2.6,2.6,100000
total time: 137.94 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: 3352056k/3407296k available (3119k kernel code, 53956k reserved, 1894k data, 424k init, 2502088k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.68 BogoMIPS (lpj=2830844)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830456)
Total of 4 processors activated (22644.41 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 17, 2009 04:00:00 UTC 2009 年 5 月 17 日 (日) 13 時 0 分 0 秒 (日本時間)
403e60 / 1283--
4511e6300 / 4475Dmitry DomanovMay 18, 2009 22:56:41 UTC 2009 年 5 月 19 日 (火) 7 時 56 分 41 秒 (日本時間)

2×10218-1

c180

name 名前Dmitry Domanov
date 日付September 12, 2016 14:01:38 UTC 2016 年 9 月 12 日 (月) 23 時 1 分 38 秒 (日本時間)
composite number 合成数
624129557698804436312353633857019856744525808910897600199764194167265977552839017143164739559857650131202711199694716372031112909273438240959414962264431062424813713753887407826927<180>
prime factors 素因数
3030956834611636150588809938178190058201<40>
205918326045304987023880462558062692443480025742698637164013327598552889889315972468367083189157957819465775123958129922233219809209026155527<141>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4126081929
Step 1 took 85919ms
Step 2 took 31756ms
********** Factor found in step 2: 3030956834611636150588809938178190058201
Found probable prime factor of 40 digits: 3030956834611636150588809938178190058201

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 17, 2009 04:00:00 UTC 2009 年 5 月 17 日 (日) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 16, 2010 06:31:15 UTC 2010 年 9 月 16 日 (木) 15 時 31 分 15 秒 (日本時間)
403e6110Ignacio SantosSeptember 16, 2010 06:31:15 UTC 2010 年 9 月 16 日 (木) 15 時 31 分 15 秒 (日本時間)
4511e61932 / 443732Ignacio SantosSeptember 16, 2010 06:31:15 UTC 2010 年 9 月 16 日 (木) 15 時 31 分 15 秒 (日本時間)
600Dmitry DomanovJanuary 15, 2011 23:19:42 UTC 2011 年 1 月 16 日 (日) 8 時 19 分 42 秒 (日本時間)
1300Dmitry DomanovSeptember 12, 2016 11:47:37 UTC 2016 年 9 月 12 日 (月) 20 時 47 分 37 秒 (日本時間)

2×10220-1

c213

name 名前Robert Backstrom
date 日付July 18, 2009 13:57:05 UTC 2009 年 7 月 18 日 (土) 22 時 57 分 5 秒 (日本時間)
composite number 合成数
335166689539000171957270067984038222677408379210810144644368954106144709793491904157543359551021428027620617651543649570757886124469412277333476159031968885939943391351636931487956932957327699896304453756976431799<213>
prime factors 素因数
1083123216870509849562557573497140850225905243919<49>
309444654420209152261395329908853882478560572701303797798488365664928863916804072609327933421236573012248026757692102667702446776183075707594247676208587347163650521<165>
factorization results 素因数分解の結果
Number: n
N=335166689539000171957270067984038222677408379210810144644368954106144709793491904157543359551021428027620617651543649570757886124469412277333476159031968885939943391351636931487956932957327699896304453756976431799
  ( 213 digits)
SNFS difficulty: 221 digits.
Divisors found:

Sat Jul 18 23:40:02 2009  prp49 factor: 1083123216870509849562557573497140850225905243919
Sat Jul 18 23:40:02 2009  prp165 factor: 309444654420209152261395329908853882478560572701303797798488365664928863916804072609327933421236573012248026757692102667702446776183075707594247676208587347163650521
Sat Jul 18 23:40:02 2009  elapsed time 66:40:35 (Msieve 1.39 - dependency 5)

Version: GGNFS-0.77.1-20050930-k8
Total time: 235.94 hours.
Scaled time: 475.41 units (timescale=2.015).
Factorization parameters were as follows:
name: KA_1_9_220
n: 335166689539000171957270067984038222677408379210810144644368954106144709793491904157543359551021428027620617651543649570757886124469412277333476159031968885939943391351636931487956932957327699896304453756976431799
m: 5000000000000000000000000000000000000
deg: 6
c6: 32
c0: -25
skew: 0.96
type: snfs
lss: 1
rlim: 35000000
alim: 35000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 35000000/35000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [17500000, 57299990)
Primes: RFBsize:2146775, AFBsize:2145196, largePrimes:38632996 encountered
Relations: rels:36859864, finalFF:1918519
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8934321 hash collisions in 51196493 relations
Msieve: matrix is 5501339 x 5501587 (1489.6 MB)

Total sieving time: 233.50 hours.
Total relation processing time: 2.44 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,221,6,0,0,0,0,0,0,0,0,35000000,35000000,29,29,58,58,2.6,2.6,100000
total time: 235.94 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: 3352056k/3407296k available (3119k kernel code, 53956k reserved, 1894k data, 424k init, 2502088k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.68 BogoMIPS (lpj=2830844)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830456)
Total of 4 processors activated (22644.41 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 17, 2009 04:00:00 UTC 2009 年 5 月 17 日 (日) 13 時 0 分 0 秒 (日本時間)
403e60 / 1283--
4511e6300 / 4475Dmitry DomanovMay 18, 2009 22:58:19 UTC 2009 年 5 月 19 日 (火) 7 時 58 分 19 秒 (日本時間)

2×10221-1

c204

name 名前Erik Branger
date 日付May 12, 2018 07:37:10 UTC 2018 年 5 月 12 日 (土) 16 時 37 分 10 秒 (日本時間)
composite number 合成数
145993908794679265280906834353269318371684848710417920434371722377619019393382275077652362615824360772720785594165434710205598804336757924268122265746121728432325491010807341661356795678826563563497827221<204>
prime factors 素因数
37097990401449202253720579534566313541888993439274719<53>
3580489073607615161649133570085492381353320404163647894963492515009441<70>
1099112125634785520400440345168932001505476086416380946558560136852829946082886699<82>
factorization results 素因数分解の結果
Number: 19999_221
N = 145993908794679265280906834353269318371684848710417920434371722377619019393382275077652362615824360772720785594165434710205598804336757924268122265746121728432325491010807341661356795678826563563497827221 (204 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=37097990401449202253720579534566313541888993439274719 (pp53)
r2=3580489073607615161649133570085492381353320404163647894963492515009441 (pp70)
r3=1099112125634785520400440345168932001505476086416380946558560136852829946082886699 (pp82)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 101.28 hours.
Factorization parameters were as follows:
n: 145993908794679265280906834353269318371684848710417920434371722377619019393382275077652362615824360772720785594165434710205598804336757924268122265746121728432325491010807341661356795678826563563497827221
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 20
c0: -1
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 1073741824
lpbr: 29
lpba: 30
mfbr: 58
mfba: 60
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/1073741824
Large primes per side: 3
Large prime bits: 29/30
Total raw relations: 0
Relations: 9513986 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 43.53 hours.
Total relation processing time: 0.40 hours.
Pruned matrix : 7965002 x 7965227
Matrix solve time: 56.09 hours.
time per square root: 1.26 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,1073741824,29,30,58,60,2.8,2.8,100000
total time: 101.28 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.16299-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 17, 2009 04:00:00 UTC 2009 年 5 月 17 日 (日) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 16, 2010 10:43:16 UTC 2010 年 9 月 16 日 (木) 19 時 43 分 16 秒 (日本時間)
403e6110Ignacio SantosSeptember 16, 2010 10:43:16 UTC 2010 年 9 月 16 日 (木) 19 時 43 分 16 秒 (日本時間)
4511e6193232Ignacio SantosSeptember 16, 2010 10:43:16 UTC 2010 年 9 月 16 日 (木) 19 時 43 分 16 秒 (日本時間)
600Dmitry DomanovJanuary 15, 2011 23:19:04 UTC 2011 年 1 月 16 日 (日) 8 時 19 分 4 秒 (日本時間)
1300Dmitry DomanovSeptember 12, 2016 14:03:35 UTC 2016 年 9 月 12 日 (月) 23 時 3 分 35 秒 (日本時間)
5043e6720 / 7113Dmitry DomanovOctober 23, 2016 23:34:21 UTC 2016 年 10 月 24 日 (月) 8 時 34 分 21 秒 (日本時間)

2×10223-1

c179

name 名前Erik Branger
date 日付May 18, 2018 05:28:25 UTC 2018 年 5 月 18 日 (金) 14 時 28 分 25 秒 (日本時間)
composite number 合成数
12074840456355389334734643650290213080359954731290000981462601699161988617524030190888575017201465419128007036191975143718518239712397345863320507147630982675497384559158893422981<179>
prime factors 素因数
799074967864522952685457304028905075280677907771442694579<57>
75629236044055651197575543380317363904643978252608853610461<59>
199803992325535795136733258502243246459023366997115850762238099<63>
factorization results 素因数分解の結果
Number: 19999_223
N = 12074840456355389334734643650290213080359954731290000981462601699161988617524030190888575017201465419128007036191975143718518239712397345863320507147630982675497384559158893422981 (179 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=799074967864522952685457304028905075280677907771442694579 (pp57)
r2=75629236044055651197575543380317363904643978252608853610461 (pp59)
r3=199803992325535795136733258502243246459023366997115850762238099 (pp63)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 141.88 hours.
Factorization parameters were as follows:
n: 12074840456355389334734643650290213080359954731290000981462601699161988617524030190888575017201465419128007036191975143718518239712397345863320507147630982675497384559158893422981
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 2000
c0: -1
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 1073741824
lpbr: 29
lpba: 30
mfbr: 58
mfba: 60
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/1073741824
Large primes per side: 3
Large prime bits: 29/30
Total raw relations: 46080917
Relations: 11641908 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 61.50 hours.
Total relation processing time: 0.50 hours.
Pruned matrix : 9716524 x 9716749
Matrix solve time: 78.31 hours.
time per square root: 1.58 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,1073741824,29,30,58,60,2.8,2.8,100000
total time: 141.88 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.16299-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 17, 2009 04:00:00 UTC 2009 年 5 月 17 日 (日) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 16, 2010 10:43:52 UTC 2010 年 9 月 16 日 (木) 19 時 43 分 52 秒 (日本時間)
403e6110Ignacio SantosSeptember 16, 2010 10:43:52 UTC 2010 年 9 月 16 日 (木) 19 時 43 分 52 秒 (日本時間)
4511e6193232Ignacio SantosSeptember 16, 2010 10:43:52 UTC 2010 年 9 月 16 日 (木) 19 時 43 分 52 秒 (日本時間)
600Dmitry DomanovJanuary 15, 2011 23:18:38 UTC 2011 年 1 月 16 日 (日) 8 時 18 分 38 秒 (日本時間)
1300Dmitry DomanovSeptember 12, 2016 14:04:12 UTC 2016 年 9 月 12 日 (月) 23 時 4 分 12 秒 (日本時間)
5043e6720 / 7113Dmitry DomanovOctober 23, 2016 06:56:02 UTC 2016 年 10 月 23 日 (日) 15 時 56 分 2 秒 (日本時間)

2×10224-1

c213

name 名前matsui
date 日付January 2, 2012 09:12:39 UTC 2012 年 1 月 2 日 (月) 18 時 12 分 39 秒 (日本時間)
composite number 合成数
383435743364485101827580278426159098480275452848612774274141845291625258978780547612850026299712602800105517863965015009937870083093146696310199681519974399594956100349037023248743374839559767228330377228334764711<213>
prime factors 素因数
298792177947158051676771293532839291402503<42>
1283285747300574986840429251058206317425003659786792461103756796752804245034948493284193579262410083183856143565321174524437218836574564979076123321836485207392190657040737<172>
factorization results 素因数分解の結果
N=383435743364485101827580278426159098480275452848612774274141845291625258978780547612850026299712602800105517863965015009937870083093146696310199681519974399594956100349037023248743374839559767228330377228334764711
  ( 213 digits)
SNFS difficulty: 224 digits.
Divisors found:
 r1=298792177947158051676771293532839291402503 (pp42)
 r2=1283285747300574986840429251058206317425003659786792461103756796752804245034948493284193579262410083183856143565321174524437218836574564979076123321836485207392190657040737 (pp172)
Version: Msieve v. 1.50
Total time:
Scaled time: 463.33 units (timescale=0.815).
Factorization parameters were as follows:
n: 383435743364485101827580278426159098480275452848612774274141845291625258978780547612850026299712602800105517863965015009937870083093146696310199681519974399594956100349037023248743374839559767228330377228334764711
m: 10000000000000000000000000000000000000
deg: 6
c6: 200
c0: -1
skew: 0.41
type: snfs
lss: 1
rlim: 38000000
alim: 38000000
lpbr: 29
lpba: 29
mfbr: 59
mfba: 59
rlambda: 2.6
alambda: 2.6
qintsize: 1600000
Factor base limits: 38000000/38000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 59/59
Sieved rational special-q in [19000000, 79800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 7258606 x 7258829
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,224.000,6,0,0,0,0,0,0,0,0,38000000,38000000,29,29,59,59,2.6,2.6,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 17, 2009 04:00:00 UTC 2009 年 5 月 17 日 (日) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 16, 2010 10:44:21 UTC 2010 年 9 月 16 日 (木) 19 時 44 分 21 秒 (日本時間)
403e6110Ignacio SantosSeptember 16, 2010 10:44:21 UTC 2010 年 9 月 16 日 (木) 19 時 44 分 21 秒 (日本時間)
4511e6632 / 443732Ignacio SantosSeptember 16, 2010 10:44:21 UTC 2010 年 9 月 16 日 (木) 19 時 44 分 21 秒 (日本時間)
600Dmitry DomanovJanuary 14, 2011 20:43:29 UTC 2011 年 1 月 15 日 (土) 5 時 43 分 29 秒 (日本時間)

2×10226-1

c159

composite cofactor 合成数の残り
213434075618454817889307827911183051733506523621295255502038075545271146595314558414496284419727857644528369210795511529925032355177091381997205863095640994743<159>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 17, 2009 04:00:00 UTC 2009 年 5 月 17 日 (日) 13 時 0 分 0 秒 (日本時間)
403e6400Serge BatalovMay 19, 2009 06:03:01 UTC 2009 年 5 月 19 日 (火) 15 時 3 分 1 秒 (日本時間)
4511e6703Dmitry DomanovJune 6, 2009 20:09:53 UTC 2009 年 6 月 7 日 (日) 5 時 9 分 53 秒 (日本時間)
5043e61060yoyo@homeJanuary 19, 2010 06:06:20 UTC 2010 年 1 月 19 日 (火) 15 時 6 分 20 秒 (日本時間)
5511e72635 / 17344yoyo@homeJuly 22, 2010 18:35:08 UTC 2010 年 7 月 23 日 (金) 3 時 35 分 8 秒 (日本時間)

2×10227-1

c173

composite cofactor 合成数の残り
63563127649166232179850983810523035979538568532736072983841803065409398698919788148679008482535663116387673169125836528802130741623584444603820241686574015731518580408023591<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 17, 2009 04:00:00 UTC 2009 年 5 月 17 日 (日) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 16, 2010 11:31:26 UTC 2010 年 9 月 16 日 (木) 20 時 31 分 26 秒 (日本時間)
403e6110Ignacio SantosSeptember 16, 2010 11:31:26 UTC 2010 年 9 月 16 日 (木) 20 時 31 分 26 秒 (日本時間)
4511e6443732Ignacio SantosSeptember 16, 2010 11:31:26 UTC 2010 年 9 月 16 日 (木) 20 時 31 分 26 秒 (日本時間)
600Dmitry DomanovJanuary 14, 2011 20:42:45 UTC 2011 年 1 月 15 日 (土) 5 時 42 分 45 秒 (日本時間)
1305KTakahashiJuly 19, 2014 04:52:19 UTC 2014 年 7 月 19 日 (土) 13 時 52 分 19 秒 (日本時間)
2500KTakahashiMarch 30, 2015 12:15:29 UTC 2015 年 3 月 30 日 (月) 21 時 15 分 29 秒 (日本時間)

2×10228-1

c167

composite cofactor 合成数の残り
61744890455627167650213481924706733811913431676549506889611587102056636349376989460925182092585372167014570509513719102469122094560721050071607131701885496911760705063<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 17, 2009 04:00:00 UTC 2009 年 5 月 17 日 (日) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 16, 2010 11:57:32 UTC 2010 年 9 月 16 日 (木) 20 時 57 分 32 秒 (日本時間)
403e6110Ignacio SantosSeptember 16, 2010 11:57:32 UTC 2010 年 9 月 16 日 (木) 20 時 57 分 32 秒 (日本時間)
4511e6443732Ignacio SantosSeptember 16, 2010 11:57:32 UTC 2010 年 9 月 16 日 (木) 20 時 57 分 32 秒 (日本時間)
600Dmitry DomanovJanuary 14, 2011 20:42:08 UTC 2011 年 1 月 15 日 (土) 5 時 42 分 8 秒 (日本時間)
1305KTakahashiJuly 18, 2014 03:25:48 UTC 2014 年 7 月 18 日 (金) 12 時 25 分 48 秒 (日本時間)
2153Alfred ReichFebruary 28, 2015 12:15:15 UTC 2015 年 2 月 28 日 (土) 21 時 15 分 15 秒 (日本時間)
347KTakahashiMarch 20, 2015 21:12:01 UTC 2015 年 3 月 21 日 (土) 6 時 12 分 1 秒 (日本時間)

2×10229-1

c179

name 名前Dmitry Domanov
date 日付October 25, 2016 06:28:58 UTC 2016 年 10 月 25 日 (火) 15 時 28 分 58 秒 (日本時間)
composite number 合成数
21916708385098131033333095269376075876798445018655025041469839388483970495178383361072710161781408318484479001679893902395500913763413829930557783850688432779258953541194291742461<179>
prime factors 素因数
1777618623438564041863144034323274186021259869341<49>
12329252234488412163887223828461528074669331418533011815823499009355818179112922682304020152807889531609920127189559662624479524321<131>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2963965273
Step 1 took 268524ms
Step 2 took 69385ms
********** Factor found in step 2: 1777618623438564041863144034323274186021259869341
Found probable prime factor of 49 digits: 1777618623438564041863144034323274186021259869341
Probable prime cofactor 12329252234488412163887223828461528074669331418533011815823499009355818179112922682304020152807889531609920127189559662624479524321 has 131 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 17, 2009 04:00:00 UTC 2009 年 5 月 17 日 (日) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 16, 2010 14:14:59 UTC 2010 年 9 月 16 日 (木) 23 時 14 分 59 秒 (日本時間)
403e6110Ignacio SantosSeptember 16, 2010 14:14:59 UTC 2010 年 9 月 16 日 (木) 23 時 14 分 59 秒 (日本時間)
4511e6193232Ignacio SantosSeptember 16, 2010 14:14:59 UTC 2010 年 9 月 16 日 (木) 23 時 14 分 59 秒 (日本時間)
600Dmitry DomanovJanuary 14, 2011 20:41:23 UTC 2011 年 1 月 15 日 (土) 5 時 41 分 23 秒 (日本時間)
1300Dmitry DomanovSeptember 12, 2016 14:05:15 UTC 2016 年 9 月 12 日 (月) 23 時 5 分 15 秒 (日本時間)
5043e6720 / 7113Dmitry DomanovOctober 24, 2016 20:32:36 UTC 2016 年 10 月 25 日 (火) 5 時 32 分 36 秒 (日本時間)

2×10230-1

c177

composite cofactor 合成数の残り
757042670140688023103262622021862593490644920682966776042577257267669929768884077607148297565333700408364576107072658343098036813677912475966387405833028216803233156249615548497<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 17, 2009 04:00:00 UTC 2009 年 5 月 17 日 (日) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 16, 2010 15:06:49 UTC 2010 年 9 月 17 日 (金) 0 時 6 分 49 秒 (日本時間)
403e6110Ignacio SantosSeptember 16, 2010 15:06:49 UTC 2010 年 9 月 17 日 (金) 0 時 6 分 49 秒 (日本時間)
4511e6193232Ignacio SantosSeptember 16, 2010 15:06:49 UTC 2010 年 9 月 17 日 (金) 0 時 6 分 49 秒 (日本時間)
600Dmitry DomanovJanuary 13, 2011 20:54:10 UTC 2011 年 1 月 14 日 (金) 5 時 54 分 10 秒 (日本時間)
1300Dmitry DomanovSeptember 12, 2016 14:05:36 UTC 2016 年 9 月 12 日 (月) 23 時 5 分 36 秒 (日本時間)
5043e6720 / 7113Dmitry DomanovOctober 25, 2016 00:34:56 UTC 2016 年 10 月 25 日 (火) 9 時 34 分 56 秒 (日本時間)

2×10232-1

c219

name 名前Dmitry Domanov
date 日付May 17, 2009 23:13:10 UTC 2009 年 5 月 18 日 (月) 8 時 13 分 10 秒 (日本時間)
composite number 合成数
392446347647952294721852328072609538977161235570610403843555116692098877813443278887153546707397964382223439226669218642340349119099818313031281407093003536490065178784866871425918188043544598940630474415284230564414671<219>
prime factors 素因数
34613759961280378907193267864768175303<38>
11337871068816284810015281720676567521820709766247790016536458359116649482490012289408508986811315047442941807203647099955100565546682002698657209705791404051679009408588287240060857<182>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1689352593
Step 1 took 410609ms
Step 2 took 104703ms
********** Factor found in step 2: 34613759961280378907193267864768175303
Found probable prime factor of 38 digits: 34613759961280378907193267864768175303
Probable prime cofactor 11337871068816284810015281720676567521820709766247790016536458359116649482490012289408508986811315047442941807203647099955100565546682002698657209705791404051679009408588287240060857 has 182 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 17, 2009 04:00:00 UTC 2009 年 5 月 17 日 (日) 13 時 0 分 0 秒 (日本時間)

2×10233-1

c190

composite cofactor 合成数の残り
5649800040997989056384388666276247754857572198499623320374047344432258313975849273379481728725273412701866328473256643125763907979494222199150363306306029072375768573455960964597887867800881<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 17, 2009 04:00:00 UTC 2009 年 5 月 17 日 (日) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 16, 2010 15:56:19 UTC 2010 年 9 月 17 日 (金) 0 時 56 分 19 秒 (日本時間)
403e6110Ignacio SantosSeptember 16, 2010 15:56:19 UTC 2010 年 9 月 17 日 (金) 0 時 56 分 19 秒 (日本時間)
4511e6193232Ignacio SantosSeptember 16, 2010 15:56:19 UTC 2010 年 9 月 17 日 (金) 0 時 56 分 19 秒 (日本時間)
600Dmitry DomanovJanuary 13, 2011 20:53:37 UTC 2011 年 1 月 14 日 (金) 5 時 53 分 37 秒 (日本時間)
1300Dmitry DomanovSeptember 12, 2016 14:06:41 UTC 2016 年 9 月 12 日 (月) 23 時 6 分 41 秒 (日本時間)
5043e6720 / 7113Dmitry DomanovOctober 26, 2016 20:31:26 UTC 2016 年 10 月 27 日 (木) 5 時 31 分 26 秒 (日本時間)

2×10234-1

c221

composite cofactor 合成数の残り
27098717017062763064867378498742260949704289212960255697168605099948265071065644392435612897499759962854142243349748884751678132791707148264568135254763719255700170594345462167291546083222452237623025198919167166800699569<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 17, 2009 04:00:00 UTC 2009 年 5 月 17 日 (日) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 16, 2010 17:51:21 UTC 2010 年 9 月 17 日 (金) 2 時 51 分 21 秒 (日本時間)
403e6110Ignacio SantosSeptember 16, 2010 17:51:21 UTC 2010 年 9 月 17 日 (金) 2 時 51 分 21 秒 (日本時間)
4511e6193232Ignacio SantosSeptember 16, 2010 17:51:21 UTC 2010 年 9 月 17 日 (金) 2 時 51 分 21 秒 (日本時間)
600Dmitry DomanovJanuary 12, 2011 23:23:37 UTC 2011 年 1 月 13 日 (木) 8 時 23 分 37 秒 (日本時間)
1300Dmitry DomanovSeptember 12, 2016 14:07:03 UTC 2016 年 9 月 12 日 (月) 23 時 7 分 3 秒 (日本時間)
5043e6720 / 7113Dmitry DomanovOctober 23, 2016 19:09:42 UTC 2016 年 10 月 24 日 (月) 4 時 9 分 42 秒 (日本時間)

2×10235-1

c215

name 名前Ignacio Santos
date 日付September 16, 2010 19:21:09 UTC 2010 年 9 月 17 日 (金) 4 時 21 分 9 秒 (日本時間)
composite number 合成数
89645728705492539437862993861367362574015604460859563871525207767510933999770360612964034886641244046528736502446974901848536428390310966314653159459140592582232583367824122710503598743860960189954810630162526824631<215>
prime factors 素因数
24734627499503903886129707945872081<35>
3624300738197514433948116321239673665803105676015203953781909187510447394307807926421163333674526214961507164548119458454691392188999339202173399362786312285254118551376900585868551<181>
factorization results 素因数分解の結果
Step 1 took 113725ms
Step 2 took 52338ms
********** Factor found in step 2: 24734627499503903886129707945872081
Found probable prime factor of 35 digits: 24734627499503903886129707945872081
Probable prime cofactor 3624300738197514433948116321239673665803105676015203953781909187510447394307807926421163333674526214961507164548119458454691392188999339202173399362786312285254118551376900585868551 has 181 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
351e6418118Makoto KamadaMay 17, 2009 04:00:00 UTC 2009 年 5 月 17 日 (日) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 16, 2010 18:55:15 UTC 2010 年 9 月 17 日 (金) 3 時 55 分 15 秒 (日本時間)
403e6110 / 2126Ignacio SantosSeptember 16, 2010 18:55:15 UTC 2010 年 9 月 17 日 (金) 3 時 55 分 15 秒 (日本時間)
4511e632 / 4437Ignacio SantosSeptember 16, 2010 18:55:15 UTC 2010 年 9 月 17 日 (金) 3 時 55 分 15 秒 (日本時間)

2×10237-1

c209

composite cofactor 合成数の残り
16383919137519665857365075857641648950126706196890408994238884156004817456673000176378488006652676248990990841296517567710303513779716763530757715660719586730070510285390992589610883686320391188064986690638041<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 17, 2009 04:00:00 UTC 2009 年 5 月 17 日 (日) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 16, 2010 21:37:10 UTC 2010 年 9 月 17 日 (金) 6 時 37 分 10 秒 (日本時間)
403e6110Ignacio SantosSeptember 16, 2010 21:37:10 UTC 2010 年 9 月 17 日 (金) 6 時 37 分 10 秒 (日本時間)
4511e6193232Ignacio SantosSeptember 16, 2010 21:37:10 UTC 2010 年 9 月 17 日 (金) 6 時 37 分 10 秒 (日本時間)
600Dmitry DomanovJanuary 11, 2011 20:28:53 UTC 2011 年 1 月 12 日 (水) 5 時 28 分 53 秒 (日本時間)
1300Dmitry DomanovSeptember 12, 2016 14:07:29 UTC 2016 年 9 月 12 日 (月) 23 時 7 分 29 秒 (日本時間)
5043e6720 / 7113Dmitry DomanovOctober 29, 2016 00:25:22 UTC 2016 年 10 月 29 日 (土) 9 時 25 分 22 秒 (日本時間)

2×10238-1

c203

name 名前Ignacio Santos
date 日付September 16, 2010 22:44:31 UTC 2010 年 9 月 17 日 (金) 7 時 44 分 31 秒 (日本時間)
composite number 合成数
40048766230093577874542269012681429376030271871322717464625090836400713802074457263587194484220216390151685647431375004994003420033981358714039733658213885511244769095837414317102869730335448621398789047<203>
prime factors 素因数
62965201671173612112077966434588577521<38>
composite cofactor 合成数の残り
636046024901854436574194947605274353374212095746829720347709438868222250107793170727800842905574154718929971840552928588706909719311588762843305801233878256169178407<165>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1922370290
Step 1 took 28813ms
Step 2 took 15647ms
********** Factor found in step 2: 62965201671173612112077966434588577521
Found probable prime factor of 38 digits: 62965201671173612112077966434588577521
Composite cofactor 636046024901854436574194947605274353374212095746829720347709438868222250107793170727800842905574154718929971840552928588706909719311588762843305801233878256169178407 has 165 digits
software ソフトウェア
GMP-ECM 6.3

c165

name 名前G.L.I.S.
date 日付January 22, 2011 17:51:38 UTC 2011 年 1 月 23 日 (日) 2 時 51 分 38 秒 (日本時間)
composite number 合成数
636046024901854436574194947605274353374212095746829720347709438868222250107793170727800842905574154718929971840552928588706909719311588762843305801233878256169178407<165>
prime factors 素因数
1241039626524645947231586749425822995875293485319<49>
512510649384347540133797702038580058069144351063337492791094921435216754112692687058523185808550102482667836579363553<117>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 636046024901854436574194947605274353374212095746829720347709438868222250107793170727800842905574154718929971840552928588706909719311588762843305801233878256169178407 (165 digits)
[Sat Jan 22 06:02:13 2011]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1773303259
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
20      25      30      35      40      45      50      55      60      65
2       4       10      34      135     613     3133    17769   111196  751771
Step 1 took 320328ms
Using 21 small primes for NTT
Estimated memory usage: 478M
Initializing tables of differences for F took 219ms
Computing roots of F took 17343ms
Building F from its roots took 11531ms
Computing 1/F took 5234ms
Initializing table of differences for G took 187ms
Computing roots of G took 14578ms
Building G from its roots took 10485ms
Computing roots of G took 14906ms
Building G from its roots took 10453ms
Computing G * H took 2937ms
Reducing  G * H mod F took 2844ms
Computing roots of G took 14610ms
Building G from its roots took 10468ms
Computing G * H took 2937ms
Reducing  G * H mod F took 2860ms
Computing roots of G took 14750ms
Building G from its roots took 10422ms
Computing G * H took 2969ms
Reducing  G * H mod F took 2812ms
Computing polyeval(F,G) took 19750ms
Computing product of all F(g_i) took 78ms
Step 2 took 172984ms
********** Factor found in step 2: 1241039626524645947231586749425822995875293485319
Found probable prime factor of 49 digits: 1241039626524645947231586749425822995875293485319
Probable prime cofactor 512510649384347540133797702038580058069144351063337492791094921435216754112692687058523185808550102482667836579363553 has 117 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 17, 2009 04:00:00 UTC 2009 年 5 月 17 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiSeptember 19, 2010 06:15:26 UTC 2010 年 9 月 19 日 (日) 15 時 15 分 26 秒 (日本時間)
4511e64200Wataru SakaiSeptember 23, 2010 06:36:14 UTC 2010 年 9 月 23 日 (木) 15 時 36 分 14 秒 (日本時間)
5043e60 / 652--
5511e72435 / 17488yoyo@homeJanuary 21, 2011 13:10:12 UTC 2011 年 1 月 21 日 (金) 22 時 10 分 12 秒 (日本時間)

2×10239-1

c234

composite cofactor 合成数の残り
408172428360636667353756921073738390045490817140792956576576208853668143570569951570341375010459418476741314600940021102514546244915702189232819512274765351875246178995855008989997734643022598466496186649088040751935247525964868599091<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 17, 2009 04:00:00 UTC 2009 年 5 月 17 日 (日) 13 時 0 分 0 秒 (日本時間)
403e6350Serge BatalovMay 18, 2009 06:35:20 UTC 2009 年 5 月 18 日 (月) 15 時 35 分 20 秒 (日本時間)
4511e64440300Dmitry DomanovMay 18, 2009 22:58:32 UTC 2009 年 5 月 19 日 (火) 7 時 58 分 32 秒 (日本時間)
600Serge BatalovNovember 28, 2009 07:06:23 UTC 2009 年 11 月 28 日 (土) 16 時 6 分 23 秒 (日本時間)
3540Dmitry DomanovFebruary 11, 2010 19:58:51 UTC 2010 年 2 月 12 日 (金) 4 時 58 分 51 秒 (日本時間)
5043e61010yoyo@homeJanuary 19, 2010 06:15:20 UTC 2010 年 1 月 19 日 (火) 15 時 15 分 20 秒 (日本時間)
5511e72305 / 17128yoyo@homeJuly 22, 2010 19:45:06 UTC 2010 年 7 月 23 日 (金) 4 時 45 分 6 秒 (日本時間)

2×10240-1

c236

name 名前Serge Batalov
date 日付May 17, 2009 06:58:11 UTC 2009 年 5 月 17 日 (日) 15 時 58 分 11 秒 (日本時間)
composite number 合成数
64564031378119249765955386254317719598411724828098266455757497498143784097879071569228782645188365561545662911192174839396971946928366207185976692384672498950834490105562191303224973367337056525809471543403170093940665655163508409465087<236>
prime factors 素因数
12900409695855239366375680297<29>
composite cofactor 合成数の残り
5004804723284328509504727413794179674007575588977579484001085955783285781518184216385475235750566319669217329827167346224955993379403688987397077202076056166105889455325049497934984058409692206566091055812071<208>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3362628703
Step 1 took 18557ms
Step 2 took 14457ms
********** Factor found in step 2: 12900409695855239366375680297
Found probable prime factor of 29 digits: 12900409695855239366375680297
Composite cofactor has 208 digits
software ソフトウェア
GMP-ECM 6.2.3

c208

name 名前anonymous
date 日付May 28, 2018 14:00:38 UTC 2018 年 5 月 28 日 (月) 23 時 0 分 38 秒 (日本時間)
composite number 合成数
5004804723284328509504727413794179674007575588977579484001085955783285781518184216385475235750566319669217329827167346224955993379403688987397077202076056166105889455325049497934984058409692206566091055812071<208>
prime factors 素因数
768939656364509785489313673103933999419281121209133111029372213981826682578132857<81>
6508709340010733253384349660312181787852385389201935124287970592367702780481744684378246016036935733744823282720286097865105503<127>
factorization results 素因数分解の結果
N = 5004804723284328509504727413794179674007575588977579484001085955783285781518184216385475235750566319669217329827167346224955993379403688987397077202076056166105889455325049497934984058409692206566091055812071 (208 digits)
SNFS difficulty: 241 digits.
Divisors found:
Version: Msieve v. 1.53 (SVN unknown)
Total time: 768.22 hours.
Factorization parameters were as follows:
n: 5004804723284328509504727413794179674007575588977579484001085955783285781518184216385475235750566319669217329827167346224955993379403688987397077202076056166105889455325049497934984058409692206566091055812071
m: 10000000000000000000000000000000000000000
c6: 2
c0: -1
type: snfs

Factor base limits: 72700000/72700000
Large primes per side: 3
Large prime bits: 30/30
Sieved rational special-q in [0, 0)
Total raw relations: 110515935
Relations: 11521996 relations
Pruned matrix : 8481492 x 8481717
Polynomial selection time: 0.00 hours.
Total sieving time: 740.61 hours.
Total relation processing time: 0.91 hours.
Matrix solve time: 25.74 hours.
time per square root: 0.95 hours.
Prototype def-par.txt line would be: snfs,241,6,0,0,0,0,0,0,0,0,72700000,72700000,30,30,60,60,2.6,2.6,100000
total time: 768.22 hours.
Intel64 Family 6 Model 45 Stepping 6, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 12, speed: 3.30GHz
p81 factor: 768939656364509785489313673103933999419281121209133111029372213981826682578132857
p127 factor: 6508709340010733253384349660312181787852385389201935124287970592367702780481744684378246016036935733744823282720286097865105503
execution environment 実行環境
Core i7 3960

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 17, 2009 04:00:00 UTC 2009 年 5 月 17 日 (日) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 17, 2010 07:20:55 UTC 2010 年 9 月 17 日 (金) 16 時 20 分 55 秒 (日本時間)
403e6110Ignacio SantosSeptember 17, 2010 07:20:55 UTC 2010 年 9 月 17 日 (金) 16 時 20 分 55 秒 (日本時間)
4511e6193232Ignacio SantosSeptember 17, 2010 07:20:55 UTC 2010 年 9 月 17 日 (金) 16 時 20 分 55 秒 (日本時間)
600Dmitry DomanovJanuary 11, 2011 20:27:58 UTC 2011 年 1 月 12 日 (水) 5 時 27 分 58 秒 (日本時間)
1300Dmitry DomanovSeptember 12, 2016 14:07:56 UTC 2016 年 9 月 12 日 (月) 23 時 7 分 56 秒 (日本時間)
5043e6720 / 7113Dmitry DomanovNovember 10, 2016 15:21:15 UTC 2016 年 11 月 11 日 (金) 0 時 21 分 15 秒 (日本時間)

2×10241-1

c166

name 名前Markus Tervooren
date 日付October 27, 2011 15:27:06 UTC 2011 年 10 月 28 日 (金) 0 時 27 分 6 秒 (日本時間)
composite number 合成数
2513417409317027699461886662094126250680818087720278251267511146054645294749323032301215664060970166005629729658654615156702860874581046057308927729542490969800470109<166>
prime factors 素因数
6201568195346907610677619779217490862219680179451<49>
1515640017221444140682592875943600041208754026883898419<55>
267403465773318613650419497924556166158445720532258183938516061<63>
factorization results 素因数分解の結果
Sieving took ~ 250 CPU-Days @ 3.5Ghz using 15e siever

Sat Oct 22 11:33:40 2011  Msieve v. 1.50 (SVN 643M)
Sat Oct 22 11:33:40 2011  random seeds: f30ec770 594362a9
Sat Oct 22 11:33:40 2011  factoring 2513417409317027699461886662094126250680818087720278251267511146054645294749323032301215664060970166005629729658654615156702860874581046057308927729542490969800470109 (166 digits)
Sat Oct 22 11:33:41 2011  searching for 15-digit factors
Sat Oct 22 11:33:41 2011  commencing number field sieve (166-digit input)
Sat Oct 22 11:33:41 2011  R0: -219082194421513675026906011225977
Sat Oct 22 11:33:41 2011  R1: 275846688656834471
Sat Oct 22 11:33:41 2011  A0: -243965034242582295980699138116224151456200
Sat Oct 22 11:33:41 2011  A1: 68645602151475030709988250527844530
Sat Oct 22 11:33:41 2011  A2: 4903034400800042008767793356
Sat Oct 22 11:33:41 2011  A3: 34268107833187540649
Sat Oct 22 11:33:41 2011  A4: -1235258451802
Sat Oct 22 11:33:41 2011  A5: 4980
Sat Oct 22 11:33:41 2011  skew 60618872.87, size 3.643e-16, alpha -6.156, combined = 5.947e-13 rroots = 5
Sat Oct 22 11:33:41 2011  
Sat Oct 22 11:33:41 2011  commencing relation filtering
Sat Oct 22 11:33:41 2011  estimated available RAM is 15995.6 MB
Sat Oct 22 11:33:41 2011  commencing duplicate removal, pass 1
Sat Oct 22 11:33:41 2011  error -1 reading relation 0
Sat Oct 22 11:33:41 2011  error -1 reading relation 1
Sat Oct 22 11:33:44 2011  error -15 reading relation 238739
Sat Oct 22 11:33:45 2011  error -15 reading relation 353368
Sat Oct 22 11:33:46 2011  error -15 reading relation 506384
Sat Oct 22 11:33:50 2011  error -9 reading relation 807883
Sat Oct 22 11:33:54 2011  error -1 reading relation 1200378
Sat Oct 22 11:33:56 2011  error -1 reading relation 1395421
Sat Oct 22 11:33:58 2011  error -11 reading relation 1501088
Sat Oct 22 11:33:58 2011  error -15 reading relation 1548143
Sat Oct 22 11:33:59 2011  error -9 reading relation 1603095
Sat Oct 22 11:33:59 2011  error -15 reading relation 1621699
Sat Oct 22 11:34:05 2011  error -11 reading relation 2181800
Sat Oct 22 11:34:06 2011  error -15 reading relation 2267448
Sat Oct 22 11:34:08 2011  error -9 reading relation 2453293
Sat Oct 22 11:34:15 2011  error -15 reading relation 3134160
Sat Oct 22 11:34:16 2011  error -15 reading relation 3177590
Sat Oct 22 11:34:31 2011  error -15 reading relation 4624359
Sat Oct 22 11:34:33 2011  error -9 reading relation 4754487
Sat Oct 22 11:34:36 2011  error -9 reading relation 5033923
Sat Oct 22 11:34:36 2011  error -15 reading relation 5087186
Sat Oct 22 11:34:39 2011  error -9 reading relation 5386119
Sat Oct 22 11:34:41 2011  error -15 reading relation 5574036
Sat Oct 22 11:34:44 2011  error -1 reading relation 5863239
Sat Oct 22 11:34:45 2011  error -1 reading relation 5950263
Sat Oct 22 11:35:01 2011  error -15 reading relation 7406253
Sat Oct 22 11:35:04 2011  error -5 reading relation 7692148
Sat Oct 22 11:35:10 2011  error -11 reading relation 8216245
Sat Oct 22 11:35:19 2011  error -9 reading relation 9122385
Sat Oct 22 11:35:29 2011  error -15 reading relation 10018287
Sat Oct 22 11:35:30 2011  error -11 reading relation 10118881
Sat Oct 22 11:35:37 2011  error -15 reading relation 10780393
Sat Oct 22 11:35:38 2011  error -11 reading relation 10869208
Sat Oct 22 11:35:55 2011  error -15 reading relation 12442574
Sat Oct 22 11:35:58 2011  error -15 reading relation 12747163
Sat Oct 22 11:35:58 2011  error -15 reading relation 12753809
Sat Oct 22 11:36:17 2011  error -1 reading relation 14551177
Sat Oct 22 11:36:20 2011  error -15 reading relation 14863902
Sat Oct 22 11:36:21 2011  error -9 reading relation 14936235
Sat Oct 22 11:36:22 2011  error -15 reading relation 14995320
Sat Oct 22 11:36:42 2011  error -15 reading relation 16940655
Sat Oct 22 11:36:45 2011  error -15 reading relation 17196655
Sat Oct 22 11:36:47 2011  error -5 reading relation 17358756
Sat Oct 22 11:36:49 2011  error -15 reading relation 17541430
Sat Oct 22 11:37:07 2011  error -6 reading relation 19287925
Sat Oct 22 11:37:17 2011  error -11 reading relation 20202373
Sat Oct 22 11:37:22 2011  error -15 reading relation 20707570
Sat Oct 22 11:37:23 2011  error -15 reading relation 20794461
Sat Oct 22 11:37:27 2011  error -15 reading relation 21167200
Sat Oct 22 11:37:30 2011  error -15 reading relation 21387633
Sat Oct 22 11:37:34 2011  error -9 reading relation 21798981
Sat Oct 22 11:37:37 2011  error -9 reading relation 22111841
Sat Oct 22 11:37:38 2011  error -15 reading relation 22130011
Sat Oct 22 11:37:39 2011  error -15 reading relation 22217802
Sat Oct 22 11:37:40 2011  error -5 reading relation 22325301
Sat Oct 22 11:37:40 2011  error -15 reading relation 22326838
Sat Oct 22 11:37:43 2011  error -9 reading relation 22664054
Sat Oct 22 11:37:48 2011  error -15 reading relation 23089671
Sat Oct 22 11:38:01 2011  error -15 reading relation 24343169
Sat Oct 22 11:38:12 2011  error -9 reading relation 25385154
Sat Oct 22 11:38:14 2011  error -15 reading relation 25577114
Sat Oct 22 11:38:15 2011  error -1 reading relation 25633572
Sat Oct 22 11:38:19 2011  error -15 reading relation 26014805
Sat Oct 22 11:38:20 2011  error -15 reading relation 26167946
Sat Oct 22 11:38:22 2011  error -15 reading relation 26301813
Sat Oct 22 11:38:23 2011  error -15 reading relation 26376787
Sat Oct 22 11:38:28 2011  error -9 reading relation 26884741
Sat Oct 22 11:38:29 2011  error -9 reading relation 26920647
Sat Oct 22 11:38:33 2011  error -11 reading relation 27316987
Sat Oct 22 11:38:36 2011  error -15 reading relation 27612151
Sat Oct 22 11:38:37 2011  error -9 reading relation 27764949
Sat Oct 22 11:38:39 2011  error -15 reading relation 27892656
Sat Oct 22 11:38:45 2011  error -9 reading relation 28532017
Sat Oct 22 11:38:48 2011  error -1 reading relation 28761072
Sat Oct 22 11:38:49 2011  error -9 reading relation 28864780
Sat Oct 22 11:38:51 2011  error -9 reading relation 29047902
Sat Oct 22 11:38:53 2011  error -9 reading relation 29223822
Sat Oct 22 11:38:55 2011  error -9 reading relation 29406057
Sat Oct 22 11:38:57 2011  error -9 reading relation 29626561
Sat Oct 22 11:39:05 2011  error -15 reading relation 30396117
Sat Oct 22 11:39:11 2011  error -15 reading relation 30952859
Sat Oct 22 11:39:13 2011  error -9 reading relation 31123721
Sat Oct 22 11:39:14 2011  error -15 reading relation 31187137
Sat Oct 22 11:39:17 2011  error -15 reading relation 31469263
Sat Oct 22 11:39:17 2011  error -15 reading relation 31522818
Sat Oct 22 11:39:19 2011  error -9 reading relation 31650727
Sat Oct 22 11:39:20 2011  error -11 reading relation 31816578
Sat Oct 22 11:39:25 2011  error -15 reading relation 32260883
Sat Oct 22 11:39:28 2011  error -9 reading relation 32535784
Sat Oct 22 11:39:35 2011  error -15 reading relation 33165829
Sat Oct 22 11:39:36 2011  error -9 reading relation 33317308
Sat Oct 22 11:39:43 2011  error -9 reading relation 33987184
Sat Oct 22 11:39:44 2011  error -15 reading relation 34083693
Sat Oct 22 11:39:45 2011  error -15 reading relation 34150773
Sat Oct 22 11:39:47 2011  error -15 reading relation 34311860
Sat Oct 22 11:39:54 2011  error -9 reading relation 34956818
Sat Oct 22 11:40:05 2011  error -6 reading relation 36010351
Sat Oct 22 11:40:09 2011  error -9 reading relation 36412480
Sat Oct 22 11:40:14 2011  error -1 reading relation 36910197
Sat Oct 22 11:40:24 2011  error -1 reading relation 37846175
Sat Oct 22 11:40:30 2011  error -5 reading relation 38325342
Sat Oct 22 11:40:30 2011  error -9 reading relation 38379811
Sat Oct 22 11:40:32 2011  error -9 reading relation 38517897
Sat Oct 22 11:40:35 2011  error -15 reading relation 38894861
Sat Oct 22 11:40:36 2011  error -9 reading relation 38914869
Sat Oct 22 11:40:42 2011  error -15 reading relation 39526300
Sat Oct 22 11:40:57 2011  error -15 reading relation 40952670
Sat Oct 22 11:41:12 2011  error -15 reading relation 42269571
Sat Oct 22 11:41:23 2011  error -15 reading relation 43347969
Sat Oct 22 11:41:25 2011  error -9 reading relation 43473540
Sat Oct 22 11:41:25 2011  error -15 reading relation 43479367
Sat Oct 22 11:41:26 2011  error -15 reading relation 43571532
Sat Oct 22 11:41:27 2011  error -15 reading relation 43713662
Sat Oct 22 11:41:34 2011  error -9 reading relation 44328109
Sat Oct 22 11:41:39 2011  error -9 reading relation 44786750
Sat Oct 22 11:41:42 2011  error -11 reading relation 45116979
Sat Oct 22 11:41:50 2011  error -15 reading relation 45866055
Sat Oct 22 11:41:51 2011  error -15 reading relation 45964173
Sat Oct 22 11:41:56 2011  error -15 reading relation 46465907
Sat Oct 22 11:41:59 2011  error -15 reading relation 46643767
Sat Oct 22 11:42:00 2011  error -11 reading relation 46757989
Sat Oct 22 11:42:03 2011  error -9 reading relation 47079820
Sat Oct 22 11:42:03 2011  error -9 reading relation 47112360
Sat Oct 22 11:42:10 2011  error -9 reading relation 47745098
Sat Oct 22 11:42:11 2011  error -9 reading relation 47838767
Sat Oct 22 11:42:16 2011  error -15 reading relation 48308961
Sat Oct 22 11:42:18 2011  error -15 reading relation 48490380
Sat Oct 22 11:42:34 2011  error -9 reading relation 49984741
Sat Oct 22 11:42:36 2011  error -9 reading relation 50147444
Sat Oct 22 11:42:36 2011  error -9 reading relation 50195048
Sat Oct 22 11:42:39 2011  error -11 reading relation 50427593
Sat Oct 22 11:42:39 2011  error -15 reading relation 50497648
Sat Oct 22 11:43:00 2011  error -15 reading relation 52382963
Sat Oct 22 11:43:04 2011  error -15 reading relation 52785629
Sat Oct 22 11:43:04 2011  error -15 reading relation 52813488
Sat Oct 22 11:43:05 2011  error -9 reading relation 52909327
Sat Oct 22 11:43:06 2011  error -9 reading relation 53028378
Sat Oct 22 11:43:08 2011  error -15 reading relation 53219856
Sat Oct 22 11:43:11 2011  error -9 reading relation 53452253
Sat Oct 22 11:43:15 2011  error -15 reading relation 53806344
Sat Oct 22 11:43:21 2011  error -9 reading relation 54389930
Sat Oct 22 11:43:24 2011  error -15 reading relation 54696768
Sat Oct 22 11:43:39 2011  error -15 reading relation 56076345
Sat Oct 22 11:43:41 2011  error -15 reading relation 56258641
Sat Oct 22 11:43:46 2011  error -1 reading relation 56727288
Sat Oct 22 11:43:49 2011  error -1 reading relation 57063164
Sat Oct 22 11:43:54 2011  error -15 reading relation 57547870
Sat Oct 22 11:44:08 2011  error -15 reading relation 58836317
Sat Oct 22 11:44:12 2011  error -15 reading relation 59184421
Sat Oct 22 11:44:17 2011  error -15 reading relation 59686944
Sat Oct 22 11:44:26 2011  error -15 reading relation 60580093
Sat Oct 22 11:44:27 2011  error -1 reading relation 60611171
Sat Oct 22 11:44:30 2011  error -9 reading relation 60940947
Sat Oct 22 11:44:33 2011  error -15 reading relation 61168622
Sat Oct 22 11:44:33 2011  error -15 reading relation 61210253
Sat Oct 22 11:44:44 2011  error -15 reading relation 62221259
Sat Oct 22 11:44:59 2011  error -11 reading relation 63669212
Sat Oct 22 11:45:15 2011  error -15 reading relation 65183884
Sat Oct 22 11:45:17 2011  error -15 reading relation 65315661
Sat Oct 22 11:45:20 2011  error -15 reading relation 65615870
Sat Oct 22 11:45:27 2011  error -15 reading relation 66331296
Sat Oct 22 11:45:41 2011  error -9 reading relation 67587967
Sat Oct 22 11:45:41 2011  error -9 reading relation 67619555
Sat Oct 22 11:46:02 2011  error -9 reading relation 69530557
Sat Oct 22 11:46:03 2011  error -15 reading relation 69682408
Sat Oct 22 11:46:06 2011  error -9 reading relation 69947400
Sat Oct 22 11:46:12 2011  error -1 reading relation 70524125
Sat Oct 22 11:46:21 2011  error -5 reading relation 71359503
Sat Oct 22 11:46:24 2011  error -11 reading relation 71616426
Sat Oct 22 11:46:25 2011  error -9 reading relation 71708715
Sat Oct 22 11:46:26 2011  error -15 reading relation 71814266
Sat Oct 22 11:46:31 2011  error -15 reading relation 72240331
Sat Oct 22 11:46:35 2011  error -15 reading relation 72648072
Sat Oct 22 11:46:39 2011  error -15 reading relation 72978538
Sat Oct 22 11:46:51 2011  error -15 reading relation 74192106
Sat Oct 22 11:46:57 2011  error -9 reading relation 74680591
Sat Oct 22 11:46:59 2011  error -15 reading relation 74894504
Sat Oct 22 11:47:11 2011  error -5 reading relation 76004413
Sat Oct 22 11:47:12 2011  error -9 reading relation 76115436
Sat Oct 22 11:47:18 2011  error -15 reading relation 76703168
Sat Oct 22 11:47:19 2011  error -11 reading relation 76824010
Sat Oct 22 11:47:24 2011  error -15 reading relation 77271842
Sat Oct 22 11:47:32 2011  error -15 reading relation 78024989
Sat Oct 22 11:47:34 2011  error -15 reading relation 78263163
Sat Oct 22 11:47:47 2011  error -15 reading relation 79402270
Sat Oct 22 11:48:15 2011  error -15 reading relation 82119478
Sat Oct 22 11:48:16 2011  error -11 reading relation 82205747
Sat Oct 22 11:48:22 2011  error -15 reading relation 82717329
Sat Oct 22 11:48:25 2011  error -9 reading relation 83032413
Sat Oct 22 11:48:25 2011  error -1 reading relation 83061697
Sat Oct 22 11:48:26 2011  error -1 reading relation 83130254
Sat Oct 22 11:48:28 2011  error -15 reading relation 83347539
Sat Oct 22 11:48:41 2011  error -9 reading relation 84491542
Sat Oct 22 11:48:42 2011  error -15 reading relation 84601121
Sat Oct 22 11:48:55 2011  error -15 reading relation 85854583
Sat Oct 22 11:48:59 2011  error -15 reading relation 86252398
Sat Oct 22 11:49:02 2011  error -1 reading relation 86523283
Sat Oct 22 11:49:10 2011  error -9 reading relation 87256431
Sat Oct 22 11:49:13 2011  error -9 reading relation 87526341
Sat Oct 22 11:49:18 2011  error -15 reading relation 87962036
Sat Oct 22 11:49:22 2011  error -9 reading relation 88303838
Sat Oct 22 11:49:33 2011  error -9 reading relation 89175779
Sat Oct 22 11:49:35 2011  error -11 reading relation 89414123
Sat Oct 22 11:49:37 2011  error -15 reading relation 89528379
Sat Oct 22 11:49:38 2011  error -15 reading relation 89651801
Sat Oct 22 11:49:46 2011  error -15 reading relation 90426950
Sat Oct 22 11:49:53 2011  error -1 reading relation 91018569
Sat Oct 22 11:50:08 2011  error -9 reading relation 92376652
Sat Oct 22 11:50:08 2011  error -15 reading relation 92417421
Sat Oct 22 11:50:13 2011  error -15 reading relation 92826397
Sat Oct 22 11:50:15 2011  error -9 reading relation 93071724
Sat Oct 22 11:50:16 2011  error -15 reading relation 93158439
Sat Oct 22 11:50:22 2011  error -15 reading relation 93684066
Sat Oct 22 11:50:25 2011  error -11 reading relation 93951816
Sat Oct 22 11:50:35 2011  error -15 reading relation 94861022
Sat Oct 22 11:50:38 2011  error -11 reading relation 95155652
Sat Oct 22 11:50:48 2011  error -11 reading relation 95995346
Sat Oct 22 11:50:49 2011  error -15 reading relation 96096142
Sat Oct 22 11:50:49 2011  error -15 reading relation 96130444
Sat Oct 22 11:51:03 2011  error -15 reading relation 97442519
Sat Oct 22 11:51:06 2011  error -9 reading relation 97727383
Sat Oct 22 11:51:07 2011  error -15 reading relation 97759660
Sat Oct 22 11:51:19 2011  error -11 reading relation 98933335
Sat Oct 22 11:51:20 2011  error -1 reading relation 99024456
Sat Oct 22 11:51:27 2011  error -9 reading relation 99597696
Sat Oct 22 11:51:31 2011  error -9 reading relation 99991750
Sat Oct 22 11:51:39 2011  error -9 reading relation 100730099
Sat Oct 22 11:51:43 2011  error -15 reading relation 101115132
Sat Oct 22 11:51:44 2011  error -1 reading relation 101133727
Sat Oct 22 11:51:47 2011  error -1 reading relation 101440350
Sat Oct 22 11:51:47 2011  error -9 reading relation 101441220
Sat Oct 22 11:51:51 2011  error -15 reading relation 101860560
Sat Oct 22 11:51:52 2011  error -15 reading relation 101879413
Sat Oct 22 11:52:07 2011  error -9 reading relation 103329108
Sat Oct 22 11:52:08 2011  error -15 reading relation 103402291
Sat Oct 22 11:52:17 2011  error -15 reading relation 104186741
Sat Oct 22 11:52:26 2011  error -9 reading relation 105067798
Sat Oct 22 11:52:42 2011  error -15 reading relation 106420286
Sat Oct 22 11:52:47 2011  error -15 reading relation 106922421
Sat Oct 22 11:52:52 2011  error -15 reading relation 107380460
Sat Oct 22 11:52:58 2011  error -15 reading relation 107911769
Sat Oct 22 11:53:08 2011  error -15 reading relation 108684842
Sat Oct 22 11:53:09 2011  error -15 reading relation 108826294
Sat Oct 22 11:53:20 2011  error -15 reading relation 109845907
Sat Oct 22 11:53:25 2011  error -15 reading relation 110249313
Sat Oct 22 11:53:37 2011  error -15 reading relation 111290804
Sat Oct 22 11:53:43 2011  error -15 reading relation 111856387
Sat Oct 22 11:53:48 2011  error -11 reading relation 112255170
Sat Oct 22 11:53:50 2011  error -9 reading relation 112451982
Sat Oct 22 11:53:54 2011  error -15 reading relation 112832363
Sat Oct 22 11:53:55 2011  error -15 reading relation 112917685
Sat Oct 22 11:54:07 2011  error -15 reading relation 114057770
Sat Oct 22 11:54:18 2011  error -15 reading relation 114993412
Sat Oct 22 11:54:30 2011  error -15 reading relation 116112731
Sat Oct 22 11:54:31 2011  error -11 reading relation 116153756
Sat Oct 22 11:54:46 2011  error -15 reading relation 117522438
Sat Oct 22 11:54:46 2011  error -15 reading relation 117556927
Sat Oct 22 11:54:50 2011  error -15 reading relation 117910575
Sat Oct 22 11:54:52 2011  error -15 reading relation 118080830
Sat Oct 22 11:54:53 2011  error -15 reading relation 118162313
Sat Oct 22 11:54:54 2011  error -1 reading relation 118310665
Sat Oct 22 11:54:58 2011  error -15 reading relation 118665025
Sat Oct 22 11:54:59 2011  error -15 reading relation 118700676
Sat Oct 22 11:55:04 2011  error -15 reading relation 119165986
Sat Oct 22 11:55:05 2011  error -15 reading relation 119292758
Sat Oct 22 11:55:07 2011  error -11 reading relation 119496036
Sat Oct 22 11:55:09 2011  error -15 reading relation 119649049
Sat Oct 22 11:55:12 2011  error -6 reading relation 119927160
Sat Oct 22 11:55:12 2011  error -15 reading relation 119928250
Sat Oct 22 11:55:14 2011  error -15 reading relation 120149417
Sat Oct 22 11:55:17 2011  error -9 reading relation 120395046
Sat Oct 22 11:55:17 2011  error -11 reading relation 120401351
Sat Oct 22 11:55:17 2011  error -9 reading relation 120411532
Sat Oct 22 11:55:24 2011  error -15 reading relation 120985508
Sat Oct 22 11:55:30 2011  error -9 reading relation 121573328
Sat Oct 22 11:55:34 2011  error -9 reading relation 121965557
Sat Oct 22 11:55:54 2011  error -15 reading relation 123766240
Sat Oct 22 11:56:03 2011  error -1 reading relation 124622098
Sat Oct 22 11:56:04 2011  error -15 reading relation 124753700
Sat Oct 22 11:56:09 2011  error -15 reading relation 125163590
Sat Oct 22 11:56:09 2011  error -15 reading relation 125163591
Sat Oct 22 11:56:24 2011  error -15 reading relation 126527363
Sat Oct 22 11:56:25 2011  error -9 reading relation 126705213
Sat Oct 22 11:56:30 2011  error -9 reading relation 127174048
Sat Oct 22 11:56:36 2011  error -9 reading relation 127686738
Sat Oct 22 11:56:43 2011  error -15 reading relation 128368465
Sat Oct 22 11:56:58 2011  error -9 reading relation 129694534
Sat Oct 22 11:57:02 2011  error -15 reading relation 130044672
Sat Oct 22 11:57:05 2011  error -15 reading relation 130334215
Sat Oct 22 11:57:16 2011  error -15 reading relation 131373284
Sat Oct 22 11:57:28 2011  error -5 reading relation 132404693
Sat Oct 22 11:57:29 2011  error -1 reading relation 132466779
Sat Oct 22 11:57:31 2011  error -9 reading relation 132650919
Sat Oct 22 11:57:33 2011  error -15 reading relation 132871057
Sat Oct 22 11:57:41 2011  error -5 reading relation 133587383
Sat Oct 22 11:57:42 2011  error -1 reading relation 133708273
Sat Oct 22 11:57:44 2011  error -15 reading relation 133876289
Sat Oct 22 11:57:51 2011  error -15 reading relation 134511940
Sat Oct 22 11:58:00 2011  error -9 reading relation 135328148
Sat Oct 22 11:58:04 2011  error -15 reading relation 135726799
Sat Oct 22 11:58:18 2011  error -1 reading relation 137001225
Sat Oct 22 11:58:21 2011  error -15 reading relation 137240503
Sat Oct 22 11:58:24 2011  error -9 reading relation 137499652
Sat Oct 22 11:58:29 2011  error -9 reading relation 138016111
Sat Oct 22 11:58:32 2011  error -9 reading relation 138322846
Sat Oct 22 11:58:42 2011  error -1 reading relation 139191507
Sat Oct 22 11:58:42 2011  error -15 reading relation 139197985
Sat Oct 22 11:58:50 2011  error -15 reading relation 139976045
Sat Oct 22 11:58:51 2011  error -15 reading relation 140034651
Sat Oct 22 11:58:51 2011  error -9 reading relation 140060681
Sat Oct 22 11:58:52 2011  error -15 reading relation 140137550
Sat Oct 22 11:58:55 2011  error -15 reading relation 140428514
Sat Oct 22 11:58:57 2011  error -9 reading relation 140610265
Sat Oct 22 11:58:59 2011  error -15 reading relation 140781685
Sat Oct 22 11:59:01 2011  error -9 reading relation 140962652
Sat Oct 22 11:59:01 2011  error -15 reading relation 140971628
Sat Oct 22 11:59:05 2011  error -15 reading relation 141347834
Sat Oct 22 11:59:10 2011  error -9 reading relation 141805247
Sat Oct 22 11:59:15 2011  error -15 reading relation 142295014
Sat Oct 22 11:59:18 2011  error -9 reading relation 142552325
Sat Oct 22 11:59:20 2011  error -11 reading relation 142744470
Sat Oct 22 11:59:27 2011  error -15 reading relation 143352523
Sat Oct 22 11:59:30 2011  error -15 reading relation 143610378
Sat Oct 22 11:59:35 2011  error -15 reading relation 144055325
Sat Oct 22 11:59:38 2011  error -9 reading relation 144335783
Sat Oct 22 11:59:40 2011  error -1 reading relation 144537986
Sat Oct 22 11:59:40 2011  error -15 reading relation 144559232
Sat Oct 22 11:59:42 2011  error -5 reading relation 144738486
Sat Oct 22 11:59:44 2011  error -15 reading relation 144854336
Sat Oct 22 11:59:46 2011  error -15 reading relation 145113427
Sat Oct 22 11:59:47 2011  error -1 reading relation 145132850
Sat Oct 22 11:59:47 2011  error -9 reading relation 145144902
Sat Oct 22 11:59:49 2011  error -15 reading relation 145350105
Sat Oct 22 11:59:58 2011  error -1 reading relation 146165820
Sat Oct 22 12:00:02 2011  error -1 reading relation 146605414
Sat Oct 22 12:00:05 2011  error -15 reading relation 146803852
Sat Oct 22 12:00:17 2011  error -15 reading relation 147903753
Sat Oct 22 12:00:18 2011  error -1 reading relation 147944621
Sat Oct 22 12:00:19 2011  error -15 reading relation 148037777
Sat Oct 22 12:00:24 2011  error -15 reading relation 148495022
Sat Oct 22 12:00:29 2011  error -15 reading relation 149018634
Sat Oct 22 12:00:32 2011  error -1 reading relation 149312320
Sat Oct 22 12:00:33 2011  error -1 reading relation 149407355
Sat Oct 22 12:00:41 2011  error -1 reading relation 150099038
Sat Oct 22 12:00:43 2011  error -15 reading relation 150324829
Sat Oct 22 12:00:49 2011  error -15 reading relation 150812816
Sat Oct 22 12:00:49 2011  error -15 reading relation 150871233
Sat Oct 22 12:00:59 2011  error -9 reading relation 151788838
Sat Oct 22 12:01:06 2011  error -1 reading relation 152388824
Sat Oct 22 12:01:07 2011  error -15 reading relation 152462872
Sat Oct 22 12:01:08 2011  error -9 reading relation 152601704
Sat Oct 22 12:01:19 2011  error -15 reading relation 153572546
Sat Oct 22 12:01:23 2011  error -15 reading relation 153918963
Sat Oct 22 12:01:27 2011  error -15 reading relation 154265363
Sat Oct 22 12:01:30 2011  error -15 reading relation 154611010
Sat Oct 22 12:01:34 2011  error -11 reading relation 154959411
Sat Oct 22 12:01:38 2011  error -15 reading relation 155306023
Sat Oct 22 12:01:40 2011  error -15 reading relation 155498961
Sat Oct 22 12:01:44 2011  error -1 reading relation 155811743
Sat Oct 22 12:01:46 2011  error -15 reading relation 156026734
Sat Oct 22 12:01:50 2011  error -1 reading relation 156337030
Sat Oct 22 12:01:53 2011  error -9 reading relation 156679302
Sat Oct 22 12:01:57 2011  error -15 reading relation 157014520
Sat Oct 22 12:02:01 2011  error -15 reading relation 157356006
Sat Oct 22 12:02:04 2011  error -15 reading relation 157699368
Sat Oct 22 12:02:12 2011  error -5 reading relation 158384314
Sat Oct 22 12:02:16 2011  error -15 reading relation 158726054
Sat Oct 22 12:02:20 2011  error -15 reading relation 159069721
Sat Oct 22 12:02:20 2011  error -15 reading relation 159137472
Sat Oct 22 12:02:21 2011  error -9 reading relation 159205636
Sat Oct 22 12:02:21 2011  error -15 reading relation 159256846
Sat Oct 22 12:02:21 2011  error -15 reading relation 159308035
Sat Oct 22 12:02:22 2011  error -15 reading relation 159327789
Sat Oct 22 12:02:22 2011  error -15 reading relation 159348114
Sat Oct 22 12:02:23 2011  error -15 reading relation 159473294
Sat Oct 22 12:02:24 2011  error -9 reading relation 159598669
Sat Oct 22 12:02:26 2011  error -15 reading relation 159723543
Sat Oct 22 12:02:27 2011  error -11 reading relation 159847995
Sat Oct 22 12:02:28 2011  error -11 reading relation 159973281
Sat Oct 22 12:02:30 2011  error -15 reading relation 160097836
Sat Oct 22 12:02:31 2011  error -15 reading relation 160222634
Sat Oct 22 12:02:32 2011  error -1 reading relation 160347485
Sat Oct 22 12:02:34 2011  error -9 reading relation 160513007
Sat Oct 22 12:02:36 2011  error -5 reading relation 160680627
Sat Oct 22 12:02:38 2011  error -11 reading relation 160850389
Sat Oct 22 12:02:40 2011  error -15 reading relation 161020994
Sat Oct 22 12:02:42 2011  error -11 reading relation 161194097
Sat Oct 22 12:02:44 2011  error -9 reading relation 161369715
Sat Oct 22 12:02:56 2011  error -5 reading relation 162477912
Sat Oct 22 12:03:02 2011  error -15 reading relation 163030035
Sat Oct 22 12:03:08 2011  error -11 reading relation 163583171
Sat Oct 22 12:03:14 2011  error -11 reading relation 164136766
Sat Oct 22 12:03:20 2011  error -15 reading relation 164690778
Sat Oct 22 12:03:26 2011  error -15 reading relation 165244893
Sat Oct 22 12:03:32 2011  error -1 reading relation 165798333
Sat Oct 22 12:03:33 2011  error -15 reading relation 165894904
Sat Oct 22 12:03:34 2011  error -15 reading relation 165991139
Sat Oct 22 12:03:38 2011  error -9 reading relation 166087570
Sat Oct 22 12:03:39 2011  error -15 reading relation 166183215
Sat Oct 22 12:03:40 2011  error -1 reading relation 166278354
Sat Oct 22 12:03:41 2011  error -9 reading relation 166373669
Sat Oct 22 12:03:42 2011  error -15 reading relation 166468986
Sat Oct 22 12:03:43 2011  error -9 reading relation 166563957
Sat Oct 22 12:03:44 2011  error -11 reading relation 166651570
Sat Oct 22 12:03:45 2011  error -11 reading relation 166739182
Sat Oct 22 12:03:47 2011  error -15 reading relation 166912890
Sat Oct 22 12:03:49 2011  error -15 reading relation 167085505
Sat Oct 22 12:03:49 2011  error -15 reading relation 167156856
Sat Oct 22 12:03:50 2011  error -15 reading relation 167204500
Sat Oct 22 12:03:51 2011  error -15 reading relation 167283794
Sat Oct 22 12:03:52 2011  error -15 reading relation 167363546
Sat Oct 22 12:03:52 2011  error -15 reading relation 167373790
Sat Oct 22 12:03:52 2011  error -5 reading relation 167383859
Sat Oct 22 12:03:52 2011  error -9 reading relation 167393980
Sat Oct 22 12:03:52 2011  error -15 reading relation 167404254
Sat Oct 22 12:03:52 2011  error -15 reading relation 167419829
Sat Oct 22 12:03:52 2011  error -15 reading relation 167435236
Sat Oct 22 12:03:57 2011  error -9 reading relation 167870589
Sat Oct 22 12:04:02 2011  error -15 reading relation 168305499
Sat Oct 22 12:04:07 2011  error -15 reading relation 168741176
Sat Oct 22 12:04:12 2011  error -15 reading relation 169175551
Sat Oct 22 12:04:17 2011  error -15 reading relation 169608081
Sat Oct 22 12:04:21 2011  error -15 reading relation 170040812
Sat Oct 22 12:04:26 2011  error -11 reading relation 170469655
Sat Oct 22 12:04:31 2011  error -9 reading relation 170900357
Sat Oct 22 12:04:34 2011  error -6 reading relation 171261712
Sat Oct 22 12:04:39 2011  error -15 reading relation 171622027
Sat Oct 22 12:04:43 2011  error -15 reading relation 171982426
Sat Oct 22 12:04:47 2011  error -9 reading relation 172341671
Sat Oct 22 12:04:50 2011  error -15 reading relation 172699946
Sat Oct 22 12:04:54 2011  error -15 reading relation 173056965
Sat Oct 22 12:04:56 2011  error -15 reading relation 173174084
Sat Oct 22 12:04:57 2011  error -15 reading relation 173258699
Sat Oct 22 12:04:58 2011  error -15 reading relation 173394390
Sat Oct 22 12:05:00 2011  error -5 reading relation 173568252
Sat Oct 22 12:05:00 2011  error -9 reading relation 173618070
Sat Oct 22 12:05:01 2011  error -9 reading relation 173668024
Sat Oct 22 12:05:01 2011  error -15 reading relation 173718616
Sat Oct 22 12:05:01 2011  error -11 reading relation 173802898
Sat Oct 22 12:05:02 2011  error -5 reading relation 173887124
Sat Oct 22 12:05:07 2011  error -15 reading relation 174339594
Sat Oct 22 12:05:12 2011  error -5 reading relation 174791109
Sat Oct 22 12:05:17 2011  error -15 reading relation 175243452
Sat Oct 22 12:05:22 2011  error -15 reading relation 175695203
Sat Oct 22 12:05:27 2011  error -15 reading relation 176144144
Sat Oct 22 12:05:33 2011  error -9 reading relation 176594017
Sat Oct 22 12:05:43 2011  error -15 reading relation 177488030
Sat Oct 22 12:05:47 2011  error -15 reading relation 177884868
Sat Oct 22 12:05:51 2011  error -15 reading relation 178280645
Sat Oct 22 12:05:56 2011  error -11 reading relation 178676823
Sat Oct 22 12:06:00 2011  error -15 reading relation 179071162
Sat Oct 22 12:06:05 2011  error -15 reading relation 179464369
Sat Oct 22 12:06:09 2011  error -15 reading relation 179856052
Sat Oct 22 12:06:10 2011  error -15 reading relation 179973171
Sat Oct 22 12:06:11 2011  error -15 reading relation 180057786
Sat Oct 22 12:06:12 2011  error -15 reading relation 180193477
Sat Oct 22 12:06:14 2011  error -9 reading relation 180379133
Sat Oct 22 12:06:15 2011  error -9 reading relation 180440265
Sat Oct 22 12:06:15 2011  error -9 reading relation 180501708
Sat Oct 22 12:06:16 2011  error -9 reading relation 180564061
Sat Oct 22 12:06:17 2011  error -15 reading relation 180668443
Sat Oct 22 12:06:17 2011  error -15 reading relation 180772587
Sat Oct 22 12:06:22 2011  error -11 reading relation 181178541
Sat Oct 22 12:06:26 2011  error -11 reading relation 181583699
Sat Oct 22 12:06:31 2011  error -9 reading relation 181987387
Sat Oct 22 12:06:35 2011  error -1 reading relation 182391371
Sat Oct 22 12:06:40 2011  error -15 reading relation 182795138
Sat Oct 22 12:06:44 2011  error -1 reading relation 183198589
Sat Oct 22 12:06:49 2011  error -15 reading relation 183655396
Sat Oct 22 12:06:54 2011  error -11 reading relation 184112856
Sat Oct 22 12:06:59 2011  error -15 reading relation 184569265
Sat Oct 22 12:07:04 2011  error -1 reading relation 185024501
Sat Oct 22 12:07:09 2011  error -15 reading relation 185478830
Sat Oct 22 12:07:14 2011  error -9 reading relation 185932206
Sat Oct 22 12:07:19 2011  error -15 reading relation 186386502
Sat Oct 22 12:07:24 2011  skipped 7 relations with b > 2^32
Sat Oct 22 12:07:24 2011  found 30884052 hash collisions in 186838550 relations
Sat Oct 22 12:07:54 2011  commencing duplicate removal, pass 2
Sat Oct 22 12:17:36 2011  found 31003650 duplicates and 155834900 unique relations
Sat Oct 22 12:17:36 2011  memory use: 852.8 MB
Sat Oct 22 12:17:37 2011  reading ideals above 113573888
Sat Oct 22 12:17:37 2011  commencing singleton removal, initial pass
Sat Oct 22 12:48:54 2011  memory use: 3012.0 MB
Sat Oct 22 12:48:54 2011  reading all ideals from disk
Sat Oct 22 12:49:15 2011  memory use: 2609.7 MB
Sat Oct 22 12:49:20 2011  commencing in-memory singleton removal
Sat Oct 22 12:49:24 2011  begin with 155834900 relations and 145462885 unique ideals
Sat Oct 22 12:50:10 2011  reduce to 74981903 relations and 52640450 ideals in 16 passes
Sat Oct 22 12:50:10 2011  max relations containing the same ideal: 116
Sat Oct 22 12:50:14 2011  reading ideals above 720000
Sat Oct 22 12:50:14 2011  commencing singleton removal, initial pass
Sat Oct 22 13:11:46 2011  memory use: 1506.0 MB
Sat Oct 22 13:11:46 2011  reading all ideals from disk
Sat Oct 22 13:12:09 2011  memory use: 2893.8 MB
Sat Oct 22 13:12:17 2011  keeping 65462696 ideals with weight <= 500, target excess is 155726
Sat Oct 22 13:12:24 2011  commencing in-memory singleton removal
Sat Oct 22 13:12:32 2011  begin with 74981906 relations and 65462696 unique ideals
Sat Oct 22 13:14:07 2011  reduce to 74836534 relations and 65317278 ideals in 13 passes
Sat Oct 22 13:14:07 2011  max relations containing the same ideal: 500
Sat Oct 22 13:14:44 2011  removing 8014018 relations and 7014018 ideals in 1000000 cliques
Sat Oct 22 13:14:47 2011  commencing in-memory singleton removal
Sat Oct 22 13:14:53 2011  begin with 66822516 relations and 65317278 unique ideals
Sat Oct 22 13:15:52 2011  reduce to 66314009 relations and 57786195 ideals in 9 passes
Sat Oct 22 13:15:52 2011  max relations containing the same ideal: 469
Sat Oct 22 13:16:24 2011  removing 5860401 relations and 4860401 ideals in 1000000 cliques
Sat Oct 22 13:16:26 2011  commencing in-memory singleton removal
Sat Oct 22 13:16:32 2011  begin with 60453608 relations and 57786195 unique ideals
Sat Oct 22 13:17:24 2011  reduce to 60128968 relations and 52596479 ideals in 9 passes
Sat Oct 22 13:17:24 2011  max relations containing the same ideal: 443
Sat Oct 22 13:17:53 2011  removing 5169750 relations and 4169750 ideals in 1000000 cliques
Sat Oct 22 13:17:55 2011  commencing in-memory singleton removal
Sat Oct 22 13:18:01 2011  begin with 54959218 relations and 52596479 unique ideals
Sat Oct 22 13:18:47 2011  reduce to 54674614 relations and 48137975 ideals in 9 passes
Sat Oct 22 13:18:47 2011  max relations containing the same ideal: 407
Sat Oct 22 13:19:13 2011  removing 4788635 relations and 3788635 ideals in 1000000 cliques
Sat Oct 22 13:19:15 2011  commencing in-memory singleton removal
Sat Oct 22 13:19:20 2011  begin with 49885979 relations and 48137975 unique ideals
Sat Oct 22 13:19:53 2011  reduce to 49610751 relations and 44069816 ideals in 7 passes
Sat Oct 22 13:19:53 2011  max relations containing the same ideal: 374
Sat Oct 22 13:20:17 2011  removing 4548465 relations and 3548465 ideals in 1000000 cliques
Sat Oct 22 13:20:18 2011  commencing in-memory singleton removal
Sat Oct 22 13:20:23 2011  begin with 45062286 relations and 44069816 unique ideals
Sat Oct 22 13:20:52 2011  reduce to 44786407 relations and 40240751 ideals in 7 passes
Sat Oct 22 13:20:52 2011  max relations containing the same ideal: 349
Sat Oct 22 13:21:14 2011  removing 4381152 relations and 3381152 ideals in 1000000 cliques
Sat Oct 22 13:21:15 2011  commencing in-memory singleton removal
Sat Oct 22 13:21:19 2011  begin with 40405255 relations and 40240751 unique ideals
Sat Oct 22 13:21:45 2011  reduce to 40121520 relations and 36570541 ideals in 7 passes
Sat Oct 22 13:21:45 2011  max relations containing the same ideal: 319
Sat Oct 22 13:22:05 2011  removing 4244973 relations and 3244973 ideals in 1000000 cliques
Sat Oct 22 13:22:06 2011  commencing in-memory singleton removal
Sat Oct 22 13:22:09 2011  begin with 35876547 relations and 36570541 unique ideals
Sat Oct 22 13:22:35 2011  reduce to 35568261 relations and 33010901 ideals in 8 passes
Sat Oct 22 13:22:35 2011  max relations containing the same ideal: 292
Sat Oct 22 13:22:52 2011  removing 4166853 relations and 3166853 ideals in 1000000 cliques
Sat Oct 22 13:22:54 2011  commencing in-memory singleton removal
Sat Oct 22 13:22:57 2011  begin with 31401408 relations and 33010901 unique ideals
Sat Oct 22 13:23:19 2011  reduce to 31060335 relations and 29495066 ideals in 8 passes
Sat Oct 22 13:23:19 2011  max relations containing the same ideal: 269
Sat Oct 22 13:23:34 2011  removing 4100946 relations and 3100946 ideals in 1000000 cliques
Sat Oct 22 13:23:36 2011  commencing in-memory singleton removal
Sat Oct 22 13:23:38 2011  begin with 26959389 relations and 29495066 unique ideals
Sat Oct 22 13:24:00 2011  reduce to 26561143 relations and 25985020 ideals in 9 passes
Sat Oct 22 13:24:00 2011  max relations containing the same ideal: 238
Sat Oct 22 13:24:13 2011  removing 1971910 relations and 1582659 ideals in 389251 cliques
Sat Oct 22 13:24:14 2011  commencing in-memory singleton removal
Sat Oct 22 13:24:16 2011  begin with 24589233 relations and 25985020 unique ideals
Sat Oct 22 13:24:31 2011  reduce to 24493570 relations and 24305446 ideals in 7 passes
Sat Oct 22 13:24:31 2011  max relations containing the same ideal: 221
Sat Oct 22 13:24:48 2011  relations with 0 large ideals: 501
Sat Oct 22 13:24:48 2011  relations with 1 large ideals: 313
Sat Oct 22 13:24:48 2011  relations with 2 large ideals: 3008
Sat Oct 22 13:24:48 2011  relations with 3 large ideals: 39136
Sat Oct 22 13:24:48 2011  relations with 4 large ideals: 286470
Sat Oct 22 13:24:48 2011  relations with 5 large ideals: 1250205
Sat Oct 22 13:24:48 2011  relations with 6 large ideals: 3471376
Sat Oct 22 13:24:48 2011  relations with 7+ large ideals: 19442561
Sat Oct 22 13:24:48 2011  commencing 2-way merge
Sat Oct 22 13:25:04 2011  reduce to 15362523 relation sets and 15174399 unique ideals
Sat Oct 22 13:25:04 2011  commencing full merge
Sat Oct 22 13:29:54 2011  memory use: 1965.1 MB
Sat Oct 22 13:29:56 2011  found 7325161 cycles, need 7306599
Sat Oct 22 13:29:58 2011  weight of 7306599 cycles is about 731229581 (100.08/cycle)
Sat Oct 22 13:29:58 2011  distribution of cycle lengths:
Sat Oct 22 13:29:58 2011  1 relations: 611051
Sat Oct 22 13:29:58 2011  2 relations: 628703
Sat Oct 22 13:29:58 2011  3 relations: 659650
Sat Oct 22 13:29:58 2011  4 relations: 655136
Sat Oct 22 13:29:58 2011  5 relations: 642859
Sat Oct 22 13:29:58 2011  6 relations: 597964
Sat Oct 22 13:29:58 2011  7 relations: 559209
Sat Oct 22 13:29:58 2011  8 relations: 500038
Sat Oct 22 13:29:58 2011  9 relations: 440564
Sat Oct 22 13:29:58 2011  10+ relations: 2011425
Sat Oct 22 13:29:58 2011  heaviest cycle: 28 relations
Sat Oct 22 13:30:00 2011  commencing cycle optimization
Sat Oct 22 13:30:10 2011  start with 52374190 relations
Sat Oct 22 13:31:32 2011  pruned 1807551 relations
Sat Oct 22 13:31:32 2011  memory use: 1550.1 MB
Sat Oct 22 13:31:32 2011  distribution of cycle lengths:
Sat Oct 22 13:31:32 2011  1 relations: 611051
Sat Oct 22 13:31:32 2011  2 relations: 644182
Sat Oct 22 13:31:32 2011  3 relations: 685170
Sat Oct 22 13:31:32 2011  4 relations: 675738
Sat Oct 22 13:31:32 2011  5 relations: 666175
Sat Oct 22 13:31:32 2011  6 relations: 616711
Sat Oct 22 13:31:32 2011  7 relations: 576935
Sat Oct 22 13:31:32 2011  8 relations: 511446
Sat Oct 22 13:31:32 2011  9 relations: 448081
Sat Oct 22 13:31:32 2011  10+ relations: 1871110
Sat Oct 22 13:31:32 2011  heaviest cycle: 28 relations
Sat Oct 22 13:31:43 2011  RelProcTime: 7082
Sat Oct 22 13:31:43 2011  
Sat Oct 22 13:31:43 2011  commencing linear algebra
Sat Oct 22 13:31:46 2011  read 7306599 cycles
Sat Oct 22 13:31:58 2011  cycles contain 24335455 unique relations
Sat Oct 22 13:43:56 2011  read 24335455 relations
Sat Oct 22 13:44:30 2011  using 20 quadratic characters above 2147481950
Sat Oct 22 13:45:56 2011  building initial matrix
Sat Oct 22 13:49:48 2011  memory use: 3356.1 MB
Sat Oct 22 13:50:01 2011  read 7306599 cycles
Sat Oct 22 13:50:03 2011  matrix is 7306425 x 7306599 (2975.8 MB) with weight 915876427 (125.35/col)
Sat Oct 22 13:50:03 2011  sparse part has weight 692408297 (94.76/col)
Sat Oct 22 13:51:16 2011  filtering completed in 2 passes
Sat Oct 22 13:51:18 2011  matrix is 7306114 x 7306291 (2975.8 MB) with weight 915864287 (125.35/col)
Sat Oct 22 13:51:18 2011  sparse part has weight 692405724 (94.77/col)
Sat Oct 22 13:51:32 2011  matrix starts at (0, 0)
Sat Oct 22 13:51:33 2011  matrix is 7306114 x 7306291 (2975.8 MB) with weight 915864287 (125.35/col)
Sat Oct 22 13:51:33 2011  sparse part has weight 692405724 (94.77/col)
Sat Oct 22 13:51:33 2011  saving the first 48 matrix rows for later
Sat Oct 22 13:51:34 2011  matrix includes 64 packed rows
Sat Oct 22 13:51:35 2011  matrix is 7306066 x 7306291 (2898.4 MB) with weight 771758327 (105.63/col)
Sat Oct 22 13:51:35 2011  sparse part has weight 686735607 (93.99/col)
Sat Oct 22 13:51:35 2011  using block size 262144 for processor cache size 8192 kB
Sat Oct 22 13:51:48 2011  commencing Lanczos iteration (8 threads)
Sat Oct 22 13:51:48 2011  memory use: 3732.1 MB
Sat Oct 22 13:53:22 2011  linear algebra at 0.0%, ETA 120h37m
Sat Oct 22 13:53:52 2011  checkpointing every 70000 dimensions
Sun Oct 23 13:30:06 2011  
Sun Oct 23 13:30:06 2011  
Sun Oct 23 13:30:06 2011  Msieve v. 1.50 (SVN 643M)
Sun Oct 23 13:30:06 2011  random seeds: 70a25db6 839be830
Sun Oct 23 13:30:06 2011  factoring 2513417409317027699461886662094126250680818087720278251267511146054645294749323032301215664060970166005629729658654615156702860874581046057308927729542490969800470109 (166 digits)
Sun Oct 23 13:30:07 2011  searching for 15-digit factors
Sun Oct 23 13:30:07 2011  commencing number field sieve (166-digit input)
Sun Oct 23 13:30:07 2011  R0: -219082194421513675026906011225977
Sun Oct 23 13:30:07 2011  R1: 275846688656834471
Sun Oct 23 13:30:07 2011  A0: -243965034242582295980699138116224151456200
Sun Oct 23 13:30:07 2011  A1: 68645602151475030709988250527844530
Sun Oct 23 13:30:07 2011  A2: 4903034400800042008767793356
Sun Oct 23 13:30:07 2011  A3: 34268107833187540649
Sun Oct 23 13:30:07 2011  A4: -1235258451802
Sun Oct 23 13:30:07 2011  A5: 4980
Sun Oct 23 13:30:07 2011  skew 60618872.87, size 3.643e-16, alpha -6.156, combined = 5.947e-13 rroots = 5
Sun Oct 23 13:30:07 2011  
Sun Oct 23 13:30:07 2011  commencing linear algebra
Sun Oct 23 13:30:34 2011  matrix starts at (0, 0)
Sun Oct 23 13:30:35 2011  matrix is 7306114 x 7306291 (2975.8 MB) with weight 915864287 (125.35/col)
Sun Oct 23 13:30:35 2011  sparse part has weight 692405724 (94.77/col)
Sun Oct 23 13:30:35 2011  saving the first 48 matrix rows for later
Sun Oct 23 13:30:36 2011  matrix includes 64 packed rows
Sun Oct 23 13:30:37 2011  matrix is 7306066 x 7306291 (2898.4 MB) with weight 771758327 (105.63/col)
Sun Oct 23 13:30:37 2011  sparse part has weight 686735607 (93.99/col)
Sun Oct 23 13:30:37 2011  using block size 262144 for processor cache size 8192 kB
Sun Oct 23 13:30:50 2011  commencing Lanczos iteration (8 threads)
Sun Oct 23 13:30:50 2011  memory use: 3732.1 MB
Sun Oct 23 13:30:53 2011  restarting at iteration 19921 (dim = 1260008)
Sun Oct 23 13:32:19 2011  linear algebra at 17.3%, ETA 94h56m
Sun Oct 23 13:32:47 2011  checkpointing every 70000 dimensions
Wed Oct 26 23:58:26 2011  error: corrupt state, please restart from checkpoint
Wed Oct 26 23:58:35 2011  
Wed Oct 26 23:58:35 2011  
Wed Oct 26 23:58:35 2011  Msieve v. 1.50 (SVN 643M)
Wed Oct 26 23:58:35 2011  random seeds: ed1b9743 e220ede7
Wed Oct 26 23:58:35 2011  factoring 2513417409317027699461886662094126250680818087720278251267511146054645294749323032301215664060970166005629729658654615156702860874581046057308927729542490969800470109 (166 digits)
Wed Oct 26 23:58:35 2011  searching for 15-digit factors
Wed Oct 26 23:58:35 2011  commencing number field sieve (166-digit input)
Wed Oct 26 23:58:36 2011  R0: -219082194421513675026906011225977
Wed Oct 26 23:58:36 2011  R1: 275846688656834471
Wed Oct 26 23:58:36 2011  A0: -243965034242582295980699138116224151456200
Wed Oct 26 23:58:36 2011  A1: 68645602151475030709988250527844530
Wed Oct 26 23:58:36 2011  A2: 4903034400800042008767793356
Wed Oct 26 23:58:36 2011  A3: 34268107833187540649
Wed Oct 26 23:58:36 2011  A4: -1235258451802
Wed Oct 26 23:58:36 2011  A5: 4980
Wed Oct 26 23:58:36 2011  skew 60618872.87, size 3.643e-16, alpha -6.156, combined = 5.947e-13 rroots = 5
Wed Oct 26 23:58:36 2011  
Wed Oct 26 23:58:36 2011  commencing linear algebra
Wed Oct 26 23:59:03 2011  matrix starts at (0, 0)
Wed Oct 26 23:59:04 2011  matrix is 7306114 x 7306291 (2975.8 MB) with weight 915864287 (125.35/col)
Wed Oct 26 23:59:04 2011  sparse part has weight 692405724 (94.77/col)
Wed Oct 26 23:59:04 2011  saving the first 48 matrix rows for later
Wed Oct 26 23:59:06 2011  matrix includes 64 packed rows
Wed Oct 26 23:59:06 2011  matrix is 7306066 x 7306291 (2898.4 MB) with weight 771758327 (105.63/col)
Wed Oct 26 23:59:06 2011  sparse part has weight 686735607 (93.99/col)
Wed Oct 26 23:59:06 2011  using block size 262144 for processor cache size 8192 kB
Wed Oct 26 23:59:19 2011  commencing Lanczos iteration (8 threads)
Wed Oct 26 23:59:19 2011  memory use: 3732.1 MB
Wed Oct 26 23:59:22 2011  restarting at iteration 101846 (dim = 6440040)
Thu Oct 27 00:00:49 2011  linear algebra at 88.2%, ETA 13h44m
Thu Oct 27 00:01:18 2011  checkpointing every 70000 dimensions
Thu Oct 27 14:01:28 2011  lanczos halted after 115545 iterations (dim = 7306064)
Thu Oct 27 14:01:40 2011  recovered 32 nontrivial dependencies
Thu Oct 27 14:01:40 2011  BLanczosTime: 50584
Thu Oct 27 14:01:40 2011  elapsed time 14:03:05
Thu Oct 27 14:13:40 2011  
Thu Oct 27 14:13:40 2011  
Thu Oct 27 14:13:40 2011  Msieve v. 1.50 (SVN 643M)
Thu Oct 27 14:13:40 2011  random seeds: 522ab5d5 19f7a7b5
Thu Oct 27 14:13:40 2011  factoring 2513417409317027699461886662094126250680818087720278251267511146054645294749323032301215664060970166005629729658654615156702860874581046057308927729542490969800470109 (166 digits)
Thu Oct 27 14:13:41 2011  searching for 15-digit factors
Thu Oct 27 14:13:41 2011  commencing number field sieve (166-digit input)
Thu Oct 27 14:13:41 2011  R0: -219082194421513675026906011225977
Thu Oct 27 14:13:41 2011  R1: 275846688656834471
Thu Oct 27 14:13:41 2011  A0: -243965034242582295980699138116224151456200
Thu Oct 27 14:13:41 2011  A1: 68645602151475030709988250527844530
Thu Oct 27 14:13:41 2011  A2: 4903034400800042008767793356
Thu Oct 27 14:13:41 2011  A3: 34268107833187540649
Thu Oct 27 14:13:41 2011  A4: -1235258451802
Thu Oct 27 14:13:41 2011  A5: 4980
Thu Oct 27 14:13:41 2011  skew 60618872.87, size 3.643e-16, alpha -6.156, combined = 5.947e-13 rroots = 5
Thu Oct 27 14:13:41 2011  
Thu Oct 27 14:13:41 2011  commencing square root phase
Thu Oct 27 14:13:41 2011  reading relations for dependency 1
Thu Oct 27 14:13:43 2011  read 3653978 cycles
Thu Oct 27 14:13:48 2011  cycles contain 12167358 unique relations
Thu Oct 27 14:24:29 2011  read 12167358 relations
Thu Oct 27 14:25:23 2011  multiplying 12167358 relations
Thu Oct 27 14:36:29 2011  multiply complete, coefficients have about 624.12 million bits
Thu Oct 27 14:36:32 2011  initial square root is modulo 397541
Thu Oct 27 14:50:32 2011  found factor: 267403465773318613650419497924556166158445720532258183938516061
Thu Oct 27 14:50:32 2011  reading relations for dependency 2
Thu Oct 27 14:50:34 2011  read 3652747 cycles
Thu Oct 27 14:50:39 2011  cycles contain 12164286 unique relations
Thu Oct 27 15:01:20 2011  read 12164286 relations
Thu Oct 27 15:02:14 2011  multiplying 12164286 relations
Thu Oct 27 15:13:21 2011  multiply complete, coefficients have about 623.97 million bits
Thu Oct 27 15:13:24 2011  initial square root is modulo 396377
Thu Oct 27 15:27:24 2011  found factor: 267403465773318613650419497924556166158445720532258183938516061
Thu Oct 27 15:27:24 2011  reading relations for dependency 3
Thu Oct 27 15:27:26 2011  read 3653024 cycles
Thu Oct 27 15:27:31 2011  cycles contain 12167832 unique relations
Thu Oct 27 15:37:53 2011  read 12167832 relations
Thu Oct 27 15:38:47 2011  multiplying 12167832 relations
Thu Oct 27 15:49:50 2011  multiply complete, coefficients have about 624.15 million bits
Thu Oct 27 15:49:54 2011  initial square root is modulo 397729
Thu Oct 27 16:03:50 2011  sqrtTime: 6609
Thu Oct 27 16:03:50 2011  prp49 factor: 6201568195346907610677619779217490862219680179451
Thu Oct 27 16:03:50 2011  prp55 factor: 1515640017221444140682592875943600041208754026883898419
Thu Oct 27 16:03:50 2011  prp63 factor: 267403465773318613650419497924556166158445720532258183938516061
Thu Oct 27 16:03:50 2011  elapsed time 01:50:10

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaMay 17, 2009 04:00:00 UTC 2009 年 5 月 17 日 (日) 13 時 0 分 0 秒 (日本時間)
300Serge BatalovMay 17, 2009 21:18:18 UTC 2009 年 5 月 18 日 (月) 6 時 18 分 18 秒 (日本時間)
486Jo Yeong UkJune 2, 2009 15:36:26 UTC 2009 年 6 月 3 日 (水) 0 時 36 分 26 秒 (日本時間)
403e60--
4511e650871047Dmitry DomanovJune 7, 2009 00:35:09 UTC 2009 年 6 月 7 日 (日) 9 時 35 分 9 秒 (日本時間)
500Lionel DebrouxNovember 28, 2009 15:26:33 UTC 2009 年 11 月 29 日 (日) 0 時 26 分 33 秒 (日本時間)
3540Dmitry DomanovFebruary 11, 2010 19:57:26 UTC 2010 年 2 月 12 日 (金) 4 時 57 分 26 秒 (日本時間)
5043e61010yoyo@homeJanuary 19, 2010 06:31:26 UTC 2010 年 1 月 19 日 (火) 15 時 31 分 26 秒 (日本時間)
5511e79750 / 170902250yoyo@homeJuly 30, 2010 16:40:54 UTC 2010 年 7 月 31 日 (土) 1 時 40 分 54 秒 (日本時間)
5500Markus TervoorenOctober 4, 2011 02:01:35 UTC 2011 年 10 月 4 日 (火) 11 時 1 分 35 秒 (日本時間)
2000Markus TervoorenOctober 13, 2011 17:43:55 UTC 2011 年 10 月 14 日 (金) 2 時 43 分 55 秒 (日本時間)

2×10244-1

c221

name 名前Dmitry Domanov
date 日付January 13, 2011 11:51:54 UTC 2011 年 1 月 13 日 (木) 20 時 51 分 54 秒 (日本時間)
composite number 合成数
60972710871950018992346622484430666582148145101326445841166268422895888423540503685208688554852440850753983370769372075957024698062445889688834324728561497494568840257057042268712733242832777318443591469705590646925741711<221>
prime factors 素因数
4921867679204973173415073673456768771903359<43>
composite cofactor 合成数の残り
12388124761980377032241148632512824744585101050541397431989230582775679146473360658451211727714897763634450832497436753977665715061464498079171151129808378724322673233104382527729<179>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2662639535
Step 1 took 422350ms
Step 2 took 127611ms
********** Factor found in step 2: 4921867679204973173415073673456768771903359
Found probable prime factor of 43 digits: 4921867679204973173415073673456768771903359
Composite cofactor 12388124761980377032241148632512824744585101050541397431989230582775679146473360658451211727714897763634450832497436753977665715061464498079171151129808378724322673233104382527729 has 179 digits

c179

name 名前Dmitry Domanov
date 日付October 30, 2016 15:00:24 UTC 2016 年 10 月 31 日 (月) 0 時 0 分 24 秒 (日本時間)
composite number 合成数
12388124761980377032241148632512824744585101050541397431989230582775679146473360658451211727714897763634450832497436753977665715061464498079171151129808378724322673233104382527729<179>
prime factors 素因数
480341489765250824405167922015763435793<39>
composite cofactor 合成数の残り
25790245119226773045085643837994077360500469595545831370654993573080435856192347325409552378264823105284886345493619485642249217724334569953<140>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1471543566
Step 1 took 311443ms
Step 2 took 85950ms
********** Factor found in step 2: 480341489765250824405167922015763435793
Found probable prime factor of 39 digits: 480341489765250824405167922015763435793
Composite cofactor 25790245119226773045085643837994077360500469595545831370654993573080435856192347325409552378264823105284886345493619485642249217724334569953 has 140 digits

c140

name 名前Erik Branger
date 日付December 4, 2016 21:43:59 UTC 2016 年 12 月 5 日 (月) 6 時 43 分 59 秒 (日本時間)
composite number 合成数
25790245119226773045085643837994077360500469595545831370654993573080435856192347325409552378264823105284886345493619485642249217724334569953<140>
prime factors 素因数
1730415597322884720968936035747421071554002453936505811409561<61>
14904075737138928891311681306233787054300958970242645264699371714965654984552073<80>
factorization results 素因数分解の結果
Number: 19999_244
N = 25790245119226773045085643837994077360500469595545831370654993573080435856192347325409552378264823105284886345493619485642249217724334569953 (140 digits)
Divisors found:
r1=1730415597322884720968936035747421071554002453936505811409561 (pp61)
r2=14904075737138928891311681306233787054300958970242645264699371714965654984552073 (pp80)
Version: Msieve v. 1.51 (SVN 845)
Total time: 303.05 hours.
Factorization parameters were as follows:
# Murphy_E = 2.504e-11, selected by Erik Branger
# expecting poly E from 2.23e-011 to > 2.57e-011
n: 25790245119226773045085643837994077360500469595545831370654993573080435856192347325409552378264823105284886345493619485642249217724334569953
Y0: -2989554804541106501119859301
Y1: 295332058092551
c0: -1000261090079306716471358067474304
c1: 20222167166395445463702954446
c2: 31868218962073022615623
c3: -4567391316262475
c4: -2220866445
c5: 108
skew: 3471348.96
type: gnfs
# selected mechanically
rlim: 17600000
alim: 17600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 17600000/17600000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 21950054
Relations: 3794928 relations
Pruned matrix : 2292634 x 2292859
Polynomial selection time: 0.00 hours.
Total sieving time: 297.17 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 5.14 hours.
time per square root: 0.57 hours.
Prototype def-par.txt line would be: gnfs,139,5,65,2000,1e-05,0.28,250,20,50000,3600,17600000,17600000,28,28,55,55,2.6,2.6,100000
total time: 303.05 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz
execution environment 実行環境
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 17, 2009 04:00:00 UTC 2009 年 5 月 17 日 (日) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 17, 2010 07:21:18 UTC 2010 年 9 月 17 日 (金) 16 時 21 分 18 秒 (日本時間)
403e6110Ignacio SantosSeptember 17, 2010 07:21:18 UTC 2010 年 9 月 17 日 (金) 16 時 21 分 18 秒 (日本時間)
4511e6193232Ignacio SantosSeptember 17, 2010 07:21:18 UTC 2010 年 9 月 17 日 (金) 16 時 21 分 18 秒 (日本時間)
600Dmitry DomanovJanuary 12, 2011 23:21:26 UTC 2011 年 1 月 13 日 (木) 8 時 21 分 26 秒 (日本時間)
1300Dmitry DomanovSeptember 12, 2016 14:08:40 UTC 2016 年 9 月 12 日 (月) 23 時 8 分 40 秒 (日本時間)
5043e6720 / 7113Dmitry DomanovOctober 30, 2016 00:17:17 UTC 2016 年 10 月 30 日 (日) 9 時 17 分 17 秒 (日本時間)

2×10245-1

c240

name 名前Serge Batalov
date 日付May 17, 2009 20:42:22 UTC 2009 年 5 月 18 日 (月) 5 時 42 分 22 秒 (日本時間)
composite number 合成数
832850973811001128513069513906529135209191343346978208454270235155472455536168635665177251508501326315175794019297157063200896147647820637214280062796963425349485089885441348552296794773027288362156917451975730722623147427115129154364763741<240>
prime factors 素因数
11646344158366741257794536820925991<35>
71511794816116647592466076649315262164366978239860741017711346458660357589133354997489778453665412237637499789509689866120922247059753039227205632490112635124358150084519402014002012700683540453240769740251<206>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4173179287
Step 1 took 6145ms
Step 2 took 3728ms
********** Factor found in step 2: 11646344158366741257794536820925991
Found probable prime factor of 35 digits: 11646344158366741257794536820925991
Probable prime cofactor has 206 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 17, 2009 04:00:00 UTC 2009 年 5 月 17 日 (日) 13 時 0 分 0 秒 (日本時間)

2×10246-1

c223

composite cofactor 合成数の残り
7589712253318449977794714077767074684444795875302732461909050440959250085897090678216003417806198854786421223952603836981819020714301022097526214806505248296945201299456124540149851441228020294554464020975221227123422253217<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 17, 2009 04:00:00 UTC 2009 年 5 月 17 日 (日) 13 時 0 分 0 秒 (日本時間)
403e6300Markus TervoorenDecember 22, 2010 17:43:10 UTC 2010 年 12 月 23 日 (木) 2 時 43 分 10 秒 (日本時間)
4511e61900 / 4405300Dmitry DomanovMay 19, 2009 11:38:18 UTC 2009 年 5 月 19 日 (火) 20 時 38 分 18 秒 (日本時間)
300Dmitry DomanovJanuary 11, 2011 20:27:34 UTC 2011 年 1 月 12 日 (水) 5 時 27 分 34 秒 (日本時間)
1300Dmitry DomanovSeptember 12, 2016 14:09:31 UTC 2016 年 9 月 12 日 (月) 23 時 9 分 31 秒 (日本時間)
5043e61 / 7115KTakahashiMarch 20, 2015 14:30:16 UTC 2015 年 3 月 20 日 (金) 23 時 30 分 16 秒 (日本時間)

2×10247-1

c237

name 名前Serge Batalov
date 日付May 17, 2009 06:50:37 UTC 2009 年 5 月 17 日 (日) 15 時 50 分 37 秒 (日本時間)
composite number 合成数
681637125186834533473750585666068748474489510472214066626203162320539500873091628946052219316786881383497616819606226343579718288156328090818930924558325507750887042585221218318852782445135854875158461976049869071855009001456019535801259<237>
prime factors 素因数
109424217918630909136935706451429<33>
6229307717727602487152483306982713621811871446270813768407187294030930000936284989180582851699942671495245102701667423676129508232560794431964653471639690945651238874214201094168491986383412060065017416271<205>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1912754877
Step 1 took 18573ms
Step 2 took 14897ms
********** Factor found in step 2: 109424217918630909136935706451429
Found probable prime factor of 33 digits: 109424217918630909136935706451429
Probable prime cofactor has 205 digits
Done!
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 17, 2009 04:00:00 UTC 2009 年 5 月 17 日 (日) 13 時 0 分 0 秒 (日本時間)

2×10251-1

c154

name 名前KTakahashi
date 日付September 14, 2015 14:24:40 UTC 2015 年 9 月 14 日 (月) 23 時 24 分 40 秒 (日本時間)
composite number 合成数
2399500592462968072710913446535522412770588587126872452379184790045185104249407747275776033955961529738582924159778641183130409903772791977947852474837479<154>
prime factors 素因数
646558160282980885673664924252382663721<39>
3711190639698634471777726491367182951334266196915917825578139811417732680942135477068744274563307871725360261517199<115>
factorization results 素因数分解の結果
Input number is 2399500592462968072710913446535522412770588587126872452379184790045185104249407747275776033955961529738582924159778641183130409903772791977947852474837479 (154 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=841398543
Step 1 took 11388ms
Step 2 took 5444ms
********** Factor found in step 2: 646558160282980885673664924252382663721
Found probable prime factor of 39 digits: 646558160282980885673664924252382663721
Probable prime cofactor 3711190639698634471777726491367182951334266196915917825578139811417732680942135477068744274563307871725360261517199 has 115 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 14, 2015 14:23:30 UTC 2015 年 9 月 14 日 (月) 23 時 23 分 30 秒 (日本時間)

2×10252-1

c247

composite cofactor 合成数の残り
2588450592302206783552467246393317655950912622967580950556711011139397123972546893018042794853642532384752472940984620720805836438395523015855554103147167652650638117782267301527315271987917112635133298734377082893835993182021139875987332122801273<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 14, 2015 14:41:56 UTC 2015 年 9 月 14 日 (月) 23 時 41 分 56 秒 (日本時間)
403e62400Serge BatalovSeptember 17, 2015 01:57:02 UTC 2015 年 9 月 17 日 (木) 10 時 57 分 2 秒 (日本時間)
4511e61300 / 3908Dmitry DomanovSeptember 14, 2016 19:18:02 UTC 2016 年 9 月 15 日 (木) 4 時 18 分 2 秒 (日本時間)

2×10254-1

c250

composite cofactor 合成数の残り
2021161561549422453083787252534031307792588400553798267864541752144957707194324578335169221751740725394884440087718411771244934463836366759976958758198336584034844825321112043091164492233686699746344224025547482137984699806979070872030155730498317383<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 14, 2015 14:44:34 UTC 2015 年 9 月 14 日 (月) 23 時 44 分 34 秒 (日本時間)
403e62400Serge BatalovSeptember 17, 2015 01:57:02 UTC 2015 年 9 月 17 日 (木) 10 時 57 分 2 秒 (日本時間)
4511e61400 / 3908Dmitry DomanovSeptember 14, 2016 20:56:40 UTC 2016 年 9 月 15 日 (木) 5 時 56 分 40 秒 (日本時間)

2×10255-1

c239

name 名前Dmitry Domanov
date 日付August 16, 2016 12:17:27 UTC 2016 年 8 月 16 日 (火) 21 時 17 分 27 秒 (日本時間)
composite number 合成数
51320664210339704401236834078150618576264954965623490507845039989676999616887509436427791059539307017939539139734873625034436556614334744242989347682903950717555664484398028312634586039285142523675504079459062287004317075978416683054646929<239>
prime factors 素因数
51172461041185067044021093247891401<35>
composite cofactor 合成数の残り
1002896150901074685233242501626959881732830716239526443681892664728085009152154523933016880039124576931052072411899604614413125193226012365264916583004679630503369677335752428772889078440866535945091976329<205>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3508196250
Step 1 took 26607ms
Step 2 took 8870ms
********** Factor found in step 2: 51172461041185067044021093247891401
Found probable prime factor of 35 digits: 51172461041185067044021093247891401

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:11:16 UTC 2015 年 9 月 15 日 (火) 19 時 11 分 16 秒 (日本時間)
403e61000Dmitry DomanovAugust 16, 2016 10:17:08 UTC 2016 年 8 月 16 日 (火) 19 時 17 分 8 秒 (日本時間)
4511e61700Dmitry DomanovSeptember 12, 2016 14:11:15 UTC 2016 年 9 月 12 日 (月) 23 時 11 分 15 秒 (日本時間)
5043e6720 / 7129Dmitry DomanovOctober 31, 2016 00:23:53 UTC 2016 年 10 月 31 日 (月) 9 時 23 分 53 秒 (日本時間)

2×10256-1

c217

composite cofactor 合成数の残り
3007799865704962195020693948946480472572045005737835101646760914306572389752953592796637103505336216813892976809303873321222019779631837715133882240236328287177083898284580835601808922462409610112079536160573594778721<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:11:44 UTC 2015 年 9 月 15 日 (火) 19 時 11 分 44 秒 (日本時間)
403e62104KTakahashiSeptember 15, 2015 10:11:44 UTC 2015 年 9 月 15 日 (火) 19 時 11 分 44 秒 (日本時間)
4511e61469 / 3974169KTakahashiSeptember 15, 2015 10:11:44 UTC 2015 年 9 月 15 日 (火) 19 時 11 分 44 秒 (日本時間)
1300Dmitry DomanovSeptember 12, 2016 14:12:10 UTC 2016 年 9 月 12 日 (月) 23 時 12 分 10 秒 (日本時間)

2×10257-1

c223

name 名前KTakahashi
date 日付September 14, 2015 22:38:09 UTC 2015 年 9 月 15 日 (火) 7 時 38 分 9 秒 (日本時間)
composite number 合成数
2992834375763488437514921817287476867531519261632241626758109824370867518288618672799969878809166277395733058548014788349499040213070322658726467277591587676926543572726084299476827193079669083844723350318487933780462774931<223>
prime factors 素因数
2794970608942248209416807273438646754001<40>
composite cofactor 合成数の残り
1070792789801865368549051477459376090946815715771871509367607652112457117865544841924856065325480891665271940611841653086631474640333731458209955143450768581293994658366185961134800931<184>
factorization results 素因数分解の結果
Input number is 2992834375763488437514921817287476867531519261632241626758109824370867518288618672799969878809166277395733058548014788349499040213070322658726467277591587676926543572726084299476827193079669083844723350318487933780462774931 (223 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3456226829
Step 1 took 19438ms
Step 2 took 8019ms
********** Factor found in step 2: 2794970608942248209416807273438646754001
Found probable prime factor of 40 digits: 2794970608942248209416807273438646754001
Composite cofactor 1070792789801865368549051477459376090946815715771871509367607652112457117865544841924856065325480891665271940611841653086631474640333731458209955143450768581293994658366185961134800931 has 184 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 14, 2015 22:37:18 UTC 2015 年 9 月 15 日 (火) 7 時 37 分 18 秒 (日本時間)
403e62104KTakahashiSeptember 14, 2015 22:37:18 UTC 2015 年 9 月 15 日 (火) 7 時 37 分 18 秒 (日本時間)
4511e61469169KTakahashiSeptember 14, 2015 22:37:18 UTC 2015 年 9 月 15 日 (火) 7 時 37 分 18 秒 (日本時間)
1300Dmitry DomanovSeptember 12, 2016 14:10:29 UTC 2016 年 9 月 12 日 (月) 23 時 10 分 29 秒 (日本時間)
5043e6720 / 7139Dmitry DomanovOctober 30, 2016 16:31:22 UTC 2016 年 10 月 31 日 (月) 1 時 31 分 22 秒 (日本時間)

2×10258-1

c219

name 名前KTakahashi
date 日付September 14, 2015 22:34:46 UTC 2015 年 9 月 15 日 (火) 7 時 34 分 46 秒 (日本時間)
composite number 合成数
306386160055094584763420025101069574232893935249356389635854802420753519130038316954622083009527385050776236045744276131752679887780637238932075804831421163003700654842245071303506215591635550304823066077312524187857569<219>
prime factors 素因数
7559804529108929175808240247593<31>
40528317746227254140479246956901488970907744291407929180218085912184735496136799120409367124424447510944682406402074118061912199784886410334324124563330741683575702087460103871951826959033<188>
factorization results 素因数分解の結果
Input number is 306386160055094584763420025101069574232893935249356389635854802420753519130038316954622083009527385050776236045744276131752679887780637238932075804831421163003700654842245071303506215591635550304823066077312524187857569 (219 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3067278285
Step 1 took 6365ms
Step 2 took 3307ms
********** Factor found in step 2: 7559804529108929175808240247593
Found probable prime factor of 31 digits: 7559804529108929175808240247593
Probable prime cofactor 40528317746227254140479246956901488970907744291407929180218085912184735496136799120409367124424447510944682406402074118061912199784886410334324124563330741683575702087460103871951826959033 has 188 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 14, 2015 22:33:57 UTC 2015 年 9 月 15 日 (火) 7 時 33 分 57 秒 (日本時間)

2×10259-1

c240

composite cofactor 合成数の残り
243501136195883020955793057742361994950471703639984530234069999570095149547713599904552354270496780251686028152815034855466290753506115658594834268053140569580982834936244980500605199939367083553121511209585658474998749926199262827846527161<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:12:20 UTC 2015 年 9 月 15 日 (火) 19 時 12 分 20 秒 (日本時間)
403e61000Dmitry DomanovAugust 16, 2016 10:17:43 UTC 2016 年 8 月 16 日 (火) 19 時 17 分 43 秒 (日本時間)
4511e61700 / 4218Dmitry DomanovSeptember 14, 2016 11:48:34 UTC 2016 年 9 月 14 日 (水) 20 時 48 分 34 秒 (日本時間)

2×10262-1

c228

composite cofactor 合成数の残り
108292303775780533373215275196355184386103563360010664528121204994406911517759230613632791196990127207549079948045609378909680880529569890829275524475652690275275256107814875503834699522660213700984638821856773619049814116659137<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:12:34 UTC 2015 年 9 月 15 日 (火) 19 時 12 分 34 秒 (日本時間)
403e61000Dmitry DomanovAugust 16, 2016 10:29:26 UTC 2016 年 8 月 16 日 (火) 19 時 29 分 26 秒 (日本時間)
4511e61700 / 4218Dmitry DomanovSeptember 14, 2016 11:11:07 UTC 2016 年 9 月 14 日 (水) 20 時 11 分 7 秒 (日本時間)

2×10263-1

c224

name 名前Dmitry Domanov
date 日付September 15, 2016 15:06:33 UTC 2016 年 9 月 16 日 (金) 0 時 6 分 33 秒 (日本時間)
composite number 合成数
38959267892629752331671808906830720195260953400793085357432613603015665027456258604736504644435482654521212971061184817377287176086912342639261816735318443706964036921013518161579228473820148411827224309888758265878016735279<224>
prime factors 素因数
9489689589517871032476457142142210789721531051<46>
composite cofactor 合成数の残り
4105431218283832152847258053278775112607772392837619100327350612401611970033958710514225304221864762287295341269035156175169543346068075543667686026510017693409513168997063794829<178>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3264853539
Step 1 took 125172ms
Step 2 took 37745ms
********** Factor found in step 2: 9489689589517871032476457142142210789721531051
Found probable prime factor of 46 digits: 9489689589517871032476457142142210789721531051

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:12:47 UTC 2015 年 9 月 15 日 (火) 19 時 12 分 47 秒 (日本時間)
403e61000Dmitry DomanovAugust 16, 2016 10:29:56 UTC 2016 年 8 月 16 日 (火) 19 時 29 分 56 秒 (日本時間)
4511e61700Dmitry DomanovSeptember 14, 2016 08:22:17 UTC 2016 年 9 月 14 日 (水) 17 時 22 分 17 秒 (日本時間)
5043e6720 / 7129Dmitry DomanovSeptember 17, 2016 22:35:04 UTC 2016 年 9 月 18 日 (日) 7 時 35 分 4 秒 (日本時間)

2×10264-1

c212

composite cofactor 合成数の残り
11148786317504377688886403828987938800746497957201982736570278616748541853810146169838479689183995264930141300685009006655175006064602586951396560488832657405432100871273285581527296277918787068596359469656831399<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:13:06 UTC 2015 年 9 月 15 日 (火) 19 時 13 分 6 秒 (日本時間)
403e62104KTakahashiSeptember 15, 2015 10:13:06 UTC 2015 年 9 月 15 日 (火) 19 時 13 分 6 秒 (日本時間)
4511e61469169KTakahashiSeptember 15, 2015 10:13:06 UTC 2015 年 9 月 15 日 (火) 19 時 13 分 6 秒 (日本時間)
1300Dmitry DomanovSeptember 12, 2016 14:13:01 UTC 2016 年 9 月 12 日 (月) 23 時 13 分 1 秒 (日本時間)
5043e6720 / 7139Dmitry DomanovNovember 10, 2016 15:22:01 UTC 2016 年 11 月 11 日 (金) 0 時 22 分 1 秒 (日本時間)

2×10265-1

c224

composite cofactor 合成数の残り
42289714110879645367515569621211387901855360179797910825260079790891940741839813735395517654299967587656092910163402737608241817243983663268608225629107746182852925859192113044145941367032683662598859844329974991738648545761<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:13:20 UTC 2015 年 9 月 15 日 (火) 19 時 13 分 20 秒 (日本時間)
403e61000Dmitry DomanovAugust 16, 2016 12:56:05 UTC 2016 年 8 月 16 日 (火) 21 時 56 分 5 秒 (日本時間)
4511e61700 / 4218Dmitry DomanovSeptember 14, 2016 08:21:56 UTC 2016 年 9 月 14 日 (水) 17 時 21 分 56 秒 (日本時間)

2×10266-1

c226

composite cofactor 合成数の残り
3971869510000064896818823955014221616689356304357798877113245752106581217328249938768766452612229277159677170474114359563558365367321257474516880069040659566699085363008215191844212838945909653143187473618607789706057415794903<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:13:33 UTC 2015 年 9 月 15 日 (火) 19 時 13 分 33 秒 (日本時間)
403e61000Dmitry DomanovAugust 16, 2016 12:56:37 UTC 2016 年 8 月 16 日 (火) 21 時 56 分 37 秒 (日本時間)
4511e61700 / 4218Dmitry DomanovSeptember 14, 2016 08:21:32 UTC 2016 年 9 月 14 日 (水) 17 時 21 分 32 秒 (日本時間)

2×10267-1

c233

composite cofactor 合成数の残り
40846585111218239496508271085728717933236769086081680959481527323763269733492730972328322207801130772599400985622354915339499252158856013665786084294956897477006218290221375521427895534438361910273976153464133960820121348027751751981<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:13:46 UTC 2015 年 9 月 15 日 (火) 19 時 13 分 46 秒 (日本時間)
403e61000Dmitry DomanovAugust 16, 2016 12:57:07 UTC 2016 年 8 月 16 日 (火) 21 時 57 分 7 秒 (日本時間)
4511e61700 / 4218Dmitry DomanovSeptember 14, 2016 08:20:13 UTC 2016 年 9 月 14 日 (水) 17 時 20 分 13 秒 (日本時間)

2×10268-1

c247

name 名前Dmitry Domanov
date 日付September 15, 2016 09:17:02 UTC 2016 年 9 月 15 日 (木) 18 時 17 分 2 秒 (日本時間)
composite number 合成数
1439063010203537488580576604133009482781393024448200715170160036497192928951153664027404300634642906907250943675980886161962656267637956943822848162057058268889868256570512875293521291414004251554324815325751081515244420765999575984775489285304849<247>
prime factors 素因数
3662985299705113436018757467952969556751<40>
392866171294596362136126067039462910020231728779488787271529878233527792630061999658470928675361967186152807544304648414212188681017077747994584960660749432993991314566581523518034594237955286078606809061599<207>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1434702423
Step 1 took 85171ms
Step 2 took 25983ms
********** Factor found in step 2: 3662985299705113436018757467952969556751
Found probable prime factor of 40 digits: 3662985299705113436018757467952969556751

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:13:57 UTC 2015 年 9 月 15 日 (火) 19 時 13 分 57 秒 (日本時間)
403e61000Dmitry DomanovAugust 16, 2016 12:57:44 UTC 2016 年 8 月 16 日 (火) 21 時 57 分 44 秒 (日本時間)
4511e61700 / 4218Dmitry DomanovSeptember 14, 2016 20:55:07 UTC 2016 年 9 月 15 日 (木) 5 時 55 分 7 秒 (日本時間)

2×10269-1

c223

name 名前Dmitry Domanov
date 日付September 14, 2016 11:03:24 UTC 2016 年 9 月 14 日 (水) 20 時 3 分 24 秒 (日本時間)
composite number 合成数
1467401718833164753936816146310140068734453958691438568322252006992219833819890089709588545447775068131144313674743457437698809940554955038125075577013736376155567431565138339357274618431658016590594393336028147963269441269<223>
prime factors 素因数
753405342844286764094977271795554497743551<42>
composite cofactor 合成数の残り
1947692212127630492307540540861666766968010151087395029149440647470601207529312442664462683377545489001798764276196371114530081917175314248448044306584288860761387241672302925823819<181>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3374645265
Step 1 took 92120ms
Step 2 took 26267ms
********** Factor found in step 2: 753405342844286764094977271795554497743551
Found probable prime factor of 42 digits: 753405342844286764094977271795554497743551

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:14:20 UTC 2015 年 9 月 15 日 (火) 19 時 14 分 20 秒 (日本時間)
403e62104KTakahashiSeptember 15, 2015 10:14:20 UTC 2015 年 9 月 15 日 (火) 19 時 14 分 20 秒 (日本時間)
4511e61469169KTakahashiSeptember 15, 2015 10:14:20 UTC 2015 年 9 月 15 日 (火) 19 時 14 分 20 秒 (日本時間)
1300Dmitry DomanovSeptember 14, 2016 06:43:19 UTC 2016 年 9 月 14 日 (水) 15 時 43 分 19 秒 (日本時間)
5043e6800 / 7139Dmitry DomanovSeptember 14, 2016 22:25:20 UTC 2016 年 9 月 15 日 (木) 7 時 25 分 20 秒 (日本時間)

2×10272-1

c250

composite cofactor 合成数の残り
4370049855969622657751509267718017056840768383209019041069977932155578409079992858851248068976479606787334534054713163162568856872412408968824497401314532691540645045717609568516317708642687488207778304745081739213219939286834923876278104413873771753<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:14:38 UTC 2015 年 9 月 15 日 (火) 19 時 14 分 38 秒 (日本時間)
403e61000Dmitry DomanovAugust 17, 2016 08:40:35 UTC 2016 年 8 月 17 日 (水) 17 時 40 分 35 秒 (日本時間)
4511e61700 / 4218Dmitry DomanovSeptember 14, 2016 20:57:48 UTC 2016 年 9 月 15 日 (木) 5 時 57 分 48 秒 (日本時間)

2×10273-1

c250

composite cofactor 合成数の残り
8804045801773432780708162161915487816762951542776214509819236685837257208877680966324463008594347182085779821313133378680079233973331162087509063759816490930619055486570915334724249865063144119051158122750867133223978780197105794684933144620475951499<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:14:49 UTC 2015 年 9 月 15 日 (火) 19 時 14 分 49 秒 (日本時間)
403e61000Dmitry DomanovAugust 17, 2016 08:41:00 UTC 2016 年 8 月 17 日 (水) 17 時 41 分 0 秒 (日本時間)
4511e61700 / 4218Dmitry DomanovSeptember 14, 2016 20:59:18 UTC 2016 年 9 月 15 日 (木) 5 時 59 分 18 秒 (日本時間)

2×10274-1

c235

composite cofactor 合成数の残り
3059699035924711911349332437130162483890499762211859866765894598821201352373046421244777696078521712495231793918412001190960177537917172112457002142751537993050996792309644080363327669154190063154057913675660322510540325467164211818977<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:14:59 UTC 2015 年 9 月 15 日 (火) 19 時 14 分 59 秒 (日本時間)
403e61000Dmitry DomanovAugust 17, 2016 08:41:18 UTC 2016 年 8 月 17 日 (水) 17 時 41 分 18 秒 (日本時間)
4511e61700 / 4218Dmitry DomanovSeptember 13, 2016 14:25:55 UTC 2016 年 9 月 13 日 (火) 23 時 25 分 55 秒 (日本時間)

2×10275-1

c272

name 名前KTakahashi
date 日付September 14, 2015 14:56:21 UTC 2015 年 9 月 14 日 (月) 23 時 56 分 21 秒 (日本時間)
composite number 合成数
22647491790284226021968067036575699241309025025478428264069754274714075416147661646472653153663231797078473559053334843166119352281734797871135771713282753935001698561884271316951647605027743177443098176876910882119805231570603555656211074623485448986524742384780885516929<272>
prime factors 素因数
6405274203091768482648930871<28>
composite cofactor 合成数の残り
3535756795447177671096843954051273697838636528954804667471626988454569259733801599147259470286167575823039891444071754670523397237611987368703138114846314834392794694996673515466581011866074022898433000788362298691867313399523588421534265281799<244>
factorization results 素因数分解の結果
Input number is 22647491790284226021968067036575699241309025025478428264069754274714075416147661646472653153663231797078473559053334843166119352281734797871135771713282753935001698561884271316951647605027743177443098176876910882119805231570603555656211074623485448986524742384780885516929 (272 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2354043752
Step 1 took 9158ms
Step 2 took 4352ms
********** Factor found in step 2: 6405274203091768482648930871
Found probable prime factor of 28 digits: 6405274203091768482648930871
Composite cofactor 3535756795447177671096843954051273697838636528954804667471626988454569259733801599147259470286167575823039891444071754670523397237611987368703138114846314834392794694996673515466581011866074022898433000788362298691867313399523588421534265281799 has 244 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
286KTakahashiSeptember 14, 2015 14:55:31 UTC 2015 年 9 月 14 日 (月) 23 時 55 分 31 秒 (日本時間)
500KTakahashiSeptember 15, 2015 13:55:11 UTC 2015 年 9 月 15 日 (火) 22 時 55 分 11 秒 (日本時間)
403e61000Dmitry DomanovAugust 17, 2016 08:41:44 UTC 2016 年 8 月 17 日 (水) 17 時 41 分 44 秒 (日本時間)
4511e61700 / 4218Dmitry DomanovSeptember 13, 2016 14:48:32 UTC 2016 年 9 月 13 日 (火) 23 時 48 分 32 秒 (日本時間)

2×10277-1

c244

composite cofactor 合成数の残り
1523599273835817429045711768552023103471233104106477755008217801206735510354187748915969775234646307717017137130851471651107684573618931181780752567828225703490348174320106373979888180842437453819427207072566690514699688065590648509216087533049<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:15:20 UTC 2015 年 9 月 15 日 (火) 19 時 15 分 20 秒 (日本時間)
403e61000Dmitry DomanovAugust 17, 2016 08:42:03 UTC 2016 年 8 月 17 日 (水) 17 時 42 分 3 秒 (日本時間)
4511e61700 / 4218Dmitry DomanovSeptember 13, 2016 14:47:38 UTC 2016 年 9 月 13 日 (火) 23 時 47 分 38 秒 (日本時間)

2×10278-1

c240

composite cofactor 合成数の残り
145374861213860603157185167952310246020101213745400136729423418658756473753286261475234720606946818161365252394481595777689640875722729583672371549410467963278478244082275542618375197927574541260134702778600488065891027284507326230796429473<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:15:31 UTC 2015 年 9 月 15 日 (火) 19 時 15 分 31 秒 (日本時間)
403e61000Dmitry DomanovAugust 17, 2016 08:42:21 UTC 2016 年 8 月 17 日 (水) 17 時 42 分 21 秒 (日本時間)
4511e61700 / 4218Dmitry DomanovSeptember 14, 2016 06:34:07 UTC 2016 年 9 月 14 日 (水) 15 時 34 分 7 秒 (日本時間)

2×10279-1

c272

name 名前Serge Batalov
date 日付September 17, 2015 02:12:12 UTC 2015 年 9 月 17 日 (木) 11 時 12 分 12 秒 (日本時間)
composite number 合成数
17015770871550931958449971834219870593531102476722872111703703292804347842547865299652532003283124926582266117655088265525387151539452098473771282464782735533427698828240418106757439905465822084341918337078660480061349340931124592120273866449969690232740778113675712026421<272>
prime factors 素因数
8194344228471868770848514206025218519<37>
2076526247509635870571938874207255908037922857407715522200564034754677678799116780558307064278406287979109781903832485098417880019273957622512312253010046652752657133488924289192852070381115895176580385114714570072404801119795143970259<235>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3216141061
Step 1 took 27171ms
Step 2 took 15636ms
********** Factor found in step 2: 8194344228471868770848514206025218519
Found probable prime factor of 37 digits: 8194344228471868770848514206025218519
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
286KTakahashiSeptember 14, 2015 14:57:18 UTC 2015 年 9 月 14 日 (月) 23 時 57 分 18 秒 (日本時間)
500KTakahashiSeptember 14, 2015 14:57:43 UTC 2015 年 9 月 14 日 (月) 23 時 57 分 43 秒 (日本時間)
403e62400Serge BatalovSeptember 17, 2015 01:57:05 UTC 2015 年 9 月 17 日 (木) 10 時 57 分 5 秒 (日本時間)

2×10281-1

c233

composite cofactor 合成数の残り
23189270980210829399539378318357869004445333199294378074063601481665297531795987827857087019967837796703207497946861305832128490405376090892553441787961835663955069836728674365084067481772537906105081440793141113511273515891648981871<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:15:53 UTC 2015 年 9 月 15 日 (火) 19 時 15 分 53 秒 (日本時間)
403e61000Dmitry DomanovAugust 17, 2016 08:42:41 UTC 2016 年 8 月 17 日 (水) 17 時 42 分 41 秒 (日本時間)
4511e61700 / 4218Dmitry DomanovSeptember 13, 2016 14:25:12 UTC 2016 年 9 月 13 日 (火) 23 時 25 分 12 秒 (日本時間)

2×10282-1

c251

composite cofactor 合成数の残り
29353446006877275996414691398446541279628495425912119227643437540624576290097460180789918330670910591087064652118571948819904807066718401254036908886838229841279022230322720096152937969136882932404697284051575135902725529556862610481590941264309667593<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:16:03 UTC 2015 年 9 月 15 日 (火) 19 時 16 分 3 秒 (日本時間)
403e61000Dmitry DomanovAugust 17, 2016 08:43:20 UTC 2016 年 8 月 17 日 (水) 17 時 43 分 20 秒 (日本時間)
4511e61700Dmitry DomanovSeptember 15, 2016 10:11:41 UTC 2016 年 9 月 15 日 (木) 19 時 11 分 41 秒 (日本時間)
5043e6720 / 7129Dmitry DomanovNovember 8, 2016 23:21:05 UTC 2016 年 11 月 9 日 (水) 8 時 21 分 5 秒 (日本時間)

2×10283-1

c231

composite cofactor 合成数の残り
403857742128385142583506513911328492817948123452119520644068750960897874146763733684257265695783665414441283802270822816671467468300416926481399870886424455278242266074755208011001254167097825157077569220374171254174071256008638679<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:16:14 UTC 2015 年 9 月 15 日 (火) 19 時 16 分 14 秒 (日本時間)
403e61000Dmitry DomanovAugust 17, 2016 08:43:01 UTC 2016 年 8 月 17 日 (水) 17 時 43 分 1 秒 (日本時間)
4511e61700Dmitry DomanovSeptember 13, 2016 14:24:28 UTC 2016 年 9 月 13 日 (火) 23 時 24 分 28 秒 (日本時間)
5043e6720 / 7129Dmitry DomanovNovember 9, 2016 19:26:35 UTC 2016 年 11 月 10 日 (木) 4 時 26 分 35 秒 (日本時間)

2×10284-1

c249

name 名前Dmitry Domanov
date 日付August 17, 2016 12:47:56 UTC 2016 年 8 月 17 日 (水) 21 時 47 分 56 秒 (日本時間)
composite number 合成数
220255764445103328548876729735262433166355602432982541160506269164988826877640604609000773978864011661917678867753050683612195269097563026269875285940763644762167809956395276796437524325014940574082036554652509307356016850437883959474889160844963433<249>
prime factors 素因数
14508228312863817006419096349489344523161<41>
composite cofactor 合成数の残り
15181437712130025685195916562580479869536740062048525648673023604787775388198635826914341855875493161713513923161703297067827492884711613407923215197006493542128961815773305914471222914272373005525812112431953<209>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1815942234
Step 1 took 31661ms
Step 2 took 12435ms
********** Factor found in step 2: 14508228312863817006419096349489344523161
Found probable prime factor of 41 digits: 14508228312863817006419096349489344523161

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:16:31 UTC 2015 年 9 月 15 日 (火) 19 時 16 分 31 秒 (日本時間)
403e61000Dmitry DomanovAugust 17, 2016 10:41:13 UTC 2016 年 8 月 17 日 (水) 19 時 41 分 13 秒 (日本時間)
4511e61700Dmitry DomanovSeptember 12, 2016 14:34:42 UTC 2016 年 9 月 12 日 (月) 23 時 34 分 42 秒 (日本時間)
5043e6720 / 7129Dmitry DomanovNovember 10, 2016 16:46:38 UTC 2016 年 11 月 11 日 (金) 1 時 46 分 38 秒 (日本時間)

2×10285-1

c266

composite cofactor 合成数の残り
69487934917314733702517849002695798831024031331447053662139621514698368762419550303080376959420862594618132081847247157866546800163808668989477150450505893133006285973353417693439219058519543359964030327328158903797827919256205375785498441569345943398073532951416889<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:16:43 UTC 2015 年 9 月 15 日 (火) 19 時 16 分 43 秒 (日本時間)
403e61000Dmitry DomanovAugust 17, 2016 10:40:43 UTC 2016 年 8 月 17 日 (水) 19 時 40 分 43 秒 (日本時間)
4511e61700Dmitry DomanovSeptember 15, 2016 23:53:53 UTC 2016 年 9 月 16 日 (金) 8 時 53 分 53 秒 (日本時間)
5043e6720 / 7129Dmitry DomanovOctober 26, 2016 22:56:10 UTC 2016 年 10 月 27 日 (木) 7 時 56 分 10 秒 (日本時間)

2×10287-1

c280

composite cofactor 合成数の残り
2492484815564411160245325808953705845740538487137239242314027389242667337111848922619076623856038264427489759594979193422192992575847341087611451925868865563357462289545954135712134254803307990952429668590121352979082033046585002312589724001049784754619418692472126324215121828109<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 14, 2015 15:01:12 UTC 2015 年 9 月 15 日 (火) 0 時 1 分 12 秒 (日本時間)
403e62400Serge BatalovSeptember 17, 2015 01:57:08 UTC 2015 年 9 月 17 日 (木) 10 時 57 分 8 秒 (日本時間)
4511e61400Dmitry DomanovSeptember 15, 2016 15:57:08 UTC 2016 年 9 月 16 日 (金) 0 時 57 分 8 秒 (日本時間)
5043e6720 / 7143Dmitry DomanovOctober 24, 2016 20:34:04 UTC 2016 年 10 月 25 日 (火) 5 時 34 分 4 秒 (日本時間)

2×10288-1

c248

name 名前Dmitry Domanov
date 日付August 18, 2016 10:35:49 UTC 2016 年 8 月 18 日 (木) 19 時 35 分 49 秒 (日本時間)
composite number 合成数
23272996696154879321013159309708136665824474805905271677184871549555316524594069756369400731185639639450351662848491292872578544358903991487048906957052408553187683700780287989196306118583756145000855843865418919712263203634533248288997476066937657<248>
prime factors 素因数
185245277253272070755759886423577<33>
composite cofactor 合成数の残り
125633414472075551386683570675809589383190687529563725372359576335205681238468055135306564785012267201358134525325444003972268720359672375938969767365339092042686331390961199902922319544647905728152345183583906923041<216>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2560321964
Step 1 took 33946ms
Step 2 took 10556ms
********** Factor found in step 2: 185245277253272070755759886423577
Found probable prime factor of 33 digits: 185245277253272070755759886423577

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:17:02 UTC 2015 年 9 月 15 日 (火) 19 時 17 分 2 秒 (日本時間)
403e61000Dmitry DomanovAugust 18, 2016 08:07:07 UTC 2016 年 8 月 18 日 (木) 17 時 7 分 7 秒 (日本時間)
4511e61700 / 4218Dmitry DomanovSeptember 12, 2016 19:59:04 UTC 2016 年 9 月 13 日 (火) 4 時 59 分 4 秒 (日本時間)

2×10289-1

c263

composite cofactor 合成数の残り
29750613870482226866005841193762091858631893244516678102573014990558967510573836516249763984353777612120450390963553632138823715303151958566268379286361172131963307250250056240696705071853052947969412720436872199672446804772852152395406322651393974318684528928029<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:17:14 UTC 2015 年 9 月 15 日 (火) 19 時 17 分 14 秒 (日本時間)
403e61000Dmitry DomanovAugust 18, 2016 08:07:48 UTC 2016 年 8 月 18 日 (木) 17 時 7 分 48 秒 (日本時間)
4511e61700Dmitry DomanovSeptember 16, 2016 00:58:49 UTC 2016 年 9 月 16 日 (金) 9 時 58 分 49 秒 (日本時間)
5043e6720 / 7129Dmitry DomanovOctober 26, 2016 20:32:25 UTC 2016 年 10 月 27 日 (木) 5 時 32 分 25 秒 (日本時間)

2×10290-1

c252

name 名前Dmitry Domanov
date 日付August 18, 2016 12:12:24 UTC 2016 年 8 月 18 日 (木) 21 時 12 分 24 秒 (日本時間)
composite number 合成数
360812275753842839276669602998661067307073177105745659215908875808918723678376480308248227341764162979695338444268824393309631733746882417679485907062987854868796864896133290432405102242172839764696002733900305187535446704600178794586660970875225174561<252>
prime factors 素因数
206414341181145490844588973655889960374711<42>
composite cofactor 合成数の残り
1748000035701010303413225740883228247309831922542558944623667709586782325049581715671273543344678826824626417700922538008039980422031687695053277408227823094374228617052613131510160547614318636389688458265541351<211>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=171572746
Step 1 took 34492ms
********** Factor found in step 1: 206414341181145490844588973655889960374711
Found probable prime factor of 42 digits: 206414341181145490844588973655889960374711

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:17:24 UTC 2015 年 9 月 15 日 (火) 19 時 17 分 24 秒 (日本時間)
403e61000Dmitry DomanovAugust 18, 2016 08:08:04 UTC 2016 年 8 月 18 日 (木) 17 時 8 分 4 秒 (日本時間)
4511e61700Dmitry DomanovSeptember 12, 2016 20:00:02 UTC 2016 年 9 月 13 日 (火) 5 時 0 分 2 秒 (日本時間)
5043e6720 / 7129Dmitry DomanovNovember 12, 2016 00:59:40 UTC 2016 年 11 月 12 日 (土) 9 時 59 分 40 秒 (日本時間)

2×10292-1

c231

name 名前Dmitry Domanov
date 日付September 14, 2016 06:33:49 UTC 2016 年 9 月 14 日 (水) 15 時 33 分 49 秒 (日本時間)
composite number 合成数
815326600564317063867486946959900189619544560914600026399700045012913446666660310885312491321491366006524278612725297452163493096841327993813817098356609780394884616918505605769503120694017893623161260470770916647557259233769201319<231>
prime factors 素因数
3473291648929580613575847254067555870289<40>
234741761699046838290560869887731369635833214557051361651835461924287571558033034875489384315340446516523406511250941828398158072326800269484904072652350923201985630008137652615404257304977271<192>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=804687410
Step 1 took 132168ms
Step 2 took 38385ms
********** Factor found in step 2: 3473291648929580613575847254067555870289
Found probable prime factor of 40 digits: 3473291648929580613575847254067555870289

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:17:38 UTC 2015 年 9 月 15 日 (火) 19 時 17 分 38 秒 (日本時間)
403e61000Dmitry DomanovAugust 18, 2016 08:08:25 UTC 2016 年 8 月 18 日 (木) 17 時 8 分 25 秒 (日本時間)
4511e61700 / 4218Dmitry DomanovSeptember 13, 2016 14:23:32 UTC 2016 年 9 月 13 日 (火) 23 時 23 分 32 秒 (日本時間)

2×10293-1

c237

composite cofactor 合成数の残り
129883163899643078569960347789075514997501969037199373583669145521773604844739741234114951644202887962820071869418943975814855426085143358440052103085365202588604140749390486585268252972784566372448652152585548951120728497014122447388989<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:17:49 UTC 2015 年 9 月 15 日 (火) 19 時 17 分 49 秒 (日本時間)
403e61000Dmitry DomanovAugust 18, 2016 08:08:45 UTC 2016 年 8 月 18 日 (木) 17 時 8 分 45 秒 (日本時間)
4511e61700Dmitry DomanovSeptember 13, 2016 06:16:18 UTC 2016 年 9 月 13 日 (火) 15 時 16 分 18 秒 (日本時間)
5043e6720 / 7129Dmitry DomanovNovember 8, 2016 23:20:14 UTC 2016 年 11 月 9 日 (水) 8 時 20 分 14 秒 (日本時間)

2×10294-1

c259

composite cofactor 合成数の残り
1569613952298245836419802228638515846656652560426801936051182630789378085771892517676432930045172053341398807957449386936794199102568804249127160742749485362742060346488635059709905156068819200916897929275614534278672000007987710401744943057543077210973017977<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:18:00 UTC 2015 年 9 月 15 日 (火) 19 時 18 分 0 秒 (日本時間)
403e61000Dmitry DomanovAugust 18, 2016 08:09:10 UTC 2016 年 8 月 18 日 (木) 17 時 9 分 10 秒 (日本時間)
4511e61700Dmitry DomanovSeptember 15, 2016 23:32:51 UTC 2016 年 9 月 16 日 (金) 8 時 32 分 51 秒 (日本時間)
5043e6720 / 7129Dmitry DomanovOctober 30, 2016 16:28:52 UTC 2016 年 10 月 31 日 (月) 1 時 28 分 52 秒 (日本時間)

2×10295-1

c273

name 名前Dmitry Domanov
date 日付August 18, 2016 09:51:16 UTC 2016 年 8 月 18 日 (木) 18 時 51 分 16 秒 (日本時間)
composite number 合成数
257883109055338441017664079757590972778329882888516185347495243196586582437789595298324264008593406394386524642186856747437590071664306679206964116401267001360904258180574713276878742423380483912445725880268106404010163964863242875293640158604656479653979801707695905371759<273>
prime factors 素因数
80599757774651616620196245733333986359<38>
composite cofactor 合成数の残り
3199551911512591536773441610985245325109493316353894623184815520019023691743777639404834506137313448066389285861009949310269182845445313676719456606796185200855400080714347431242541433677399820984677315271963318782693136161783363230601<235>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=765687372
Step 1 took 32618ms
Step 2 took 10080ms
********** Factor found in step 2: 80599757774651616620196245733333986359
Found probable prime factor of 38 digits: 80599757774651616620196245733333986359

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:18:12 UTC 2015 年 9 月 15 日 (火) 19 時 18 分 12 秒 (日本時間)
403e61000Dmitry DomanovAugust 18, 2016 08:10:38 UTC 2016 年 8 月 18 日 (木) 17 時 10 分 38 秒 (日本時間)
4511e61700Dmitry DomanovSeptember 13, 2016 06:09:02 UTC 2016 年 9 月 13 日 (火) 15 時 9 分 2 秒 (日本時間)
5043e6720 / 7129Dmitry DomanovNovember 7, 2016 14:34:30 UTC 2016 年 11 月 7 日 (月) 23 時 34 分 30 秒 (日本時間)

2×10296-1

c233

composite cofactor 合成数の残り
27877149957833052759357433012617164889258625835376414761589420368515845232756921277629078662927073433741056918906236335270575379083570292058632599316773996186341582601909520685555453479482995471145550568156148883807876390154557261279<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:18:23 UTC 2015 年 9 月 15 日 (火) 19 時 18 分 23 秒 (日本時間)
403e61000Dmitry DomanovAugust 18, 2016 08:09:29 UTC 2016 年 8 月 18 日 (木) 17 時 9 分 29 秒 (日本時間)
4511e61700Dmitry DomanovSeptember 13, 2016 06:14:43 UTC 2016 年 9 月 13 日 (火) 15 時 14 分 43 秒 (日本時間)
5043e6720 / 7129Dmitry DomanovNovember 7, 2016 14:35:05 UTC 2016 年 11 月 7 日 (月) 23 時 35 分 5 秒 (日本時間)

2×10297-1

c285

composite cofactor 合成数の残り
454971811209739570017930168614958085656573137236257812464667157503730893237232045868860249047093866656543634982938019504278942672465617216413868519540214187225732002884730372645139289088912129114703964890266538768261649083832915800559222715732632590965747587788691342410526923981612551<285>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:18:35 UTC 2015 年 9 月 15 日 (火) 19 時 18 分 35 秒 (日本時間)
403e61000Dmitry DomanovAugust 18, 2016 08:44:22 UTC 2016 年 8 月 18 日 (木) 17 時 44 分 22 秒 (日本時間)
4511e61700Dmitry DomanovSeptember 15, 2016 15:57:45 UTC 2016 年 9 月 16 日 (金) 0 時 57 分 45 秒 (日本時間)
5043e6720 / 7129Dmitry DomanovOctober 13, 2016 00:52:36 UTC 2016 年 10 月 13 日 (木) 9 時 52 分 36 秒 (日本時間)

2×10298-1

c256

name 名前Dmitry Domanov
date 日付August 18, 2016 11:42:09 UTC 2016 年 8 月 18 日 (木) 20 時 42 分 9 秒 (日本時間)
composite number 合成数
6143295389456364805571117333565877656875896402651507804914604214390590719300683355016624759861758700651146164692297484322797817537893520928057694324397576246530909105169557143502024433192736308581102051213615200062700456220777163220161156703081900905079217<256>
prime factors 素因数
41465797689962363425304293515259329673<38>
148153315061957048507460250829948073738540749533994134352112796204154362712279669985568060348849453794395888759436777483089722027255345849774590516208966742813211718177152705110735130705745477492790285679038514629181929<219>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=715752665
Step 1 took 30518ms
Step 2 took 10056ms
********** Factor found in step 2: 41465797689962363425304293515259329673
Found probable prime factor of 38 digits: 41465797689962363425304293515259329673

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:18:45 UTC 2015 年 9 月 15 日 (火) 19 時 18 分 45 秒 (日本時間)
403e61000 / 2104Dmitry DomanovAugust 18, 2016 08:09:56 UTC 2016 年 8 月 18 日 (木) 17 時 9 分 56 秒 (日本時間)

2×10299-1

c209

name 名前KTakahashi
date 日付September 14, 2015 15:11:35 UTC 2015 年 9 月 15 日 (火) 0 時 11 分 35 秒 (日本時間)
composite number 合成数
59961181428829800659894897325679936622690613681576022810788749804230121697025450199616019367483625302955773763465758751775427017152913289412447184558974237229469272005195436180479863591702005541373356447574809<209>
prime factors 素因数
3150567955572954240630224669<28>
42479852665756075785721235189397258725909<41>
composite cofactor 合成数の残り
448020955544451038734704416291122741947749127045746610198506642612679263730506152274784177426345117540233356787429640279140324419604046534329<141>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 59961181428829800659894897325679936622690613681576022810788749804230121697025450199616019367483625302955773763465758751775427017152913289412447184558974237229469272005195436180479863591702005541373356447574809 (209 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=786417369
Step 1 took 5741ms
Step 2 took 3104ms
********** Factor found in step 2: 3150567955572954240630224669
Found probable prime factor of 28 digits: 3150567955572954240630224669
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1515296608
Step 1 took 54132ms
Step 2 took 21045ms
********** Factor found in step 2: 42479852665756075785721235189397258725909
Found probable prime factor of 41 digits: 42479852665756075785721235189397258725909
Composite cofactor 448020955544451038734704416291122741947749127045746610198506642612679263730506152274784177426345117540233356787429640279140324419604046534329 has 141 digits

c141

name 名前Erik Branger
date 日付November 1, 2016 16:11:49 UTC 2016 年 11 月 2 日 (水) 1 時 11 分 49 秒 (日本時間)
composite number 合成数
448020955544451038734704416291122741947749127045746610198506642612679263730506152274784177426345117540233356787429640279140324419604046534329<141>
prime factors 素因数
1488454526970607486375903736260852824900429960437579<52>
300997408672128086563922024310896708228743907667520819618218767439331412800972615425338251<90>
factorization results 素因数分解の結果
Number: 19999_299
N = 448020955544451038734704416291122741947749127045746610198506642612679263730506152274784177426345117540233356787429640279140324419604046534329 (141 digits)
Divisors found:
r1=1488454526970607486375903736260852824900429960437579 (pp52)
r2=300997408672128086563922024310896708228743907667520819618218767439331412800972615425338251 (pp90)
Version: Msieve v. 1.51 (SVN 845)
Total time: 354.40 hours.
Factorization parameters were as follows:
19999_299.poly
# Murphy_E = 2.034e-11, selected by Erik Branger
# expecting poly E from 1.88e-011 to > 2.16e-011
n: 448020955544451038734704416291122741947749127045746610198506642612679263730506152274784177426345117540233356787429640279140324419604046534329
Y0: -5738430387028539319550853812
Y1: 297607753173269
c0: 114885998729308071823745313997479421785
c1: 29865684835501765223190832161303
c2: 523202178088343576145353
c3: -138451187384692351
c4: 778921086
c5: 72
skew: 23242833.06
type: gnfs
# selected mechanically
rlim: 19000000
alim: 19000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19000000/19000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23287001
Relations: 3864348 relations
Pruned matrix : 2370137 x 2370362
Polynomial selection time: 0.00 hours.
Total sieving time: 347.76 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 5.55 hours.
time per square root: 0.87 hours.
Prototype def-par.txt line would be: gnfs,140,5,65,2000,1e-05,0.28,250,20,50000,3600,19000000,19000000,28,28,56,56,2.6,2.6,100000
total time: 354.40 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS; Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 14, 2015 15:08:16 UTC 2015 年 9 月 15 日 (火) 0 時 8 分 16 秒 (日本時間)
403e62104KTakahashiSeptember 14, 2015 15:08:16 UTC 2015 年 9 月 15 日 (火) 0 時 8 分 16 秒 (日本時間)
4511e63974KTakahashiSeptember 14, 2015 15:08:16 UTC 2015 年 9 月 15 日 (火) 0 時 8 分 16 秒 (日本時間)
5043e626 / 6577KTakahashiSeptember 14, 2015 15:08:16 UTC 2015 年 9 月 15 日 (火) 0 時 8 分 16 秒 (日本時間)

2×10300-1

c285

name 名前Dmitry Domanov
date 日付September 15, 2015 06:20:30 UTC 2015 年 9 月 15 日 (火) 15 時 20 分 30 秒 (日本時間)
composite number 合成数
776913925284797171445527985691210445041786062246975109499642503353001026760819432849845595729284332694548552653256672050255915751931393009335338576784360606125677779769265918666591420383921825722098104910501609476050564772438065409445043226048030317583156671212675371534603080938838359<285>
prime factors 素因数
268672194037246941588714048096066318243887<42>
composite cofactor 合成数の残り
2891679684489757608277345277115956468986475509083037564984900075816173985690487060385305933254319903597363191065152404925906220705425124831906472178497066585342406002438488701500789214469670693647399317009747041990818440722830709966453103386457<244>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1463677292
Step 1 took 38870ms
Step 2 took 12946ms
********** Factor found in step 2: 268672194037246941588714048096066318243887
Found probable prime factor of 42 digits: 268672194037246941588714048096066318243887

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovSeptember 14, 2015 22:38:35 UTC 2015 年 9 月 15 日 (火) 7 時 38 分 35 秒 (日本時間)
4511e6900Dmitry DomanovSeptember 15, 2015 20:59:08 UTC 2015 年 9 月 16 日 (水) 5 時 59 分 8 秒 (日本時間)
5043e6640 / 6953Dmitry DomanovSeptember 17, 2015 20:19:21 UTC 2015 年 9 月 18 日 (金) 5 時 19 分 21 秒 (日本時間)
5511e7144 / 17473Dmitry DomanovSeptember 27, 2015 09:32:13 UTC 2015 年 9 月 27 日 (日) 18 時 32 分 13 秒 (日本時間)
6026e71 / 41872Dmitry DomanovSeptember 27, 2015 14:47:40 UTC 2015 年 9 月 27 日 (日) 23 時 47 分 40 秒 (日本時間)