Table of contents 目次

2×10153+13

c141

name 名前Jo Yeong Uk
date 日付March 2, 2007 09:53:11 UTC 2007 年 3 月 2 日 (金) 18 時 53 分 11 秒 (日本時間)
composite number 合成数
255527262836057684415306691004922423526332419823667789088261154131521107217490488391670035818390945946835122826285976260835405729617732362627<141>
prime factors 素因数
1246958727165838831404081235523<31>
204920385309652616260714333673676048692818683964619270985352641874084886153793092233456525778430057468791514049<111>
factorization results 素因数分解の結果
Number: 66667_153
N=255527262836057684415306691004922423526332419823667789088261154131521107217490488391670035818390945946835122826285976260835405729617732362627
  ( 141 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=1246958727165838831404081235523 (pp31)
 r2=204920385309652616260714333673676048692818683964619270985352641874084886153793092233456525778430057468791514049 (pp111)
Version: GGNFS-0.77.1-20050930-k8
Total time: 18.10 hours.
Scaled time: 16.02 units (timescale=0.885).
Factorization parameters were as follows:
n: 255527262836057684415306691004922423526332419823667789088261154131521107217490488391670035818390945946835122826285976260835405729617732362627
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:5568032 encountered
Relations: rels:5511902, finalFF:508441
Max relations in full relation-set: 28
Initial matrix: 353070 x 508441 with sparse part having weight 44296531.
Pruned matrix : 286818 x 288647 with weight 23160247.
Total sieving time: 17.32 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.65 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: 18.10 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

2×10155+13

c149

name 名前Robert Backstrom
date 日付April 3, 2007 06:51:59 UTC 2007 年 4 月 3 日 (火) 15 時 51 分 59 秒 (日本時間)
composite number 合成数
50160501063277221288818898269738596072783890252836513634501997767356097673530880434670838013935088800389044846246778128316079374980092551140511852801<149>
prime factors 素因数
288925333565467115077893873169172388791121847831390307889083748917752483<72>
173610601895909678116740701583211225083394536165258694847576929928468819956747<78>
factorization results 素因数分解の結果
Number: n
N=50160501063277221288818898269738596072783890252836513634501997767356097673530880434670838013935088800389044846246778128316079374980092551140511852801
  ( 149 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=288925333565467115077893873169172388791121847831390307889083748917752483 (pp72)
 r2=173610601895909678116740701583211225083394536165258694847576929928468819956747 (pp78)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 27.24 hours.
Scaled time: 22.53 units (timescale=0.827).
Factorization parameters were as follows:
name: KA_6_154_7
n: 50160501063277221288818898269738596072783890252836513634501997767356097673530880434670838013935088800389044846246778128316079374980092551140511852801
skew: 1
deg: 5
c5: 2
c0: 1
m: 10000000000000000000000000000000
type: snfs
rlim: 2500000
alim: 2500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 900001)
Primes: RFBsize:183072, AFBsize:182816, largePrimes:6581937 encountered
Relations: rels:6044442, finalFF:453719
Max relations in full relation-set: 48
Initial matrix: 365953 x 453719 with sparse part having weight 34516891.
Pruned matrix : 295057 x 296950 with weight 18465767.
Total sieving time: 23.76 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 2.98 hours.
Total square root time: 0.20 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000
total time: 27.24 hours.
 --------- CPU info (if available) ----------
CPU: AMD Athlon(tm) XP 2100+ stepping 02
Memory: 904260k/917504k available (1815k kernel code, 12496k reserved, 846k data, 272k init, 0k highmem)
Calibrating delay loop... 3440.64 BogoMIPS

2×10158+13

c146

name 名前Robert Backstrom
date 日付May 15, 2007 18:17:30 UTC 2007 年 5 月 16 日 (水) 3 時 17 分 30 秒 (日本時間)
composite number 合成数
28896645959203594878243179450779359727070264879734381614242857401731103885737949305946301799304495401978678162311838251115093256907566767956425689<146>
prime factors 素因数
21031561607724268249695576438281644154827<41>
1373965780486348413798444543281701321099663088692889197539420932838074370643421175688293752426150951769707<106>
factorization results 素因数分解の結果
Number: n
N=28896645959203594878243179450779359727070264879734381614242857401731103885737949305946301799304495401978678162311838251115093256907566767956425689
  ( 146 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=21031561607724268249695576438281644154827 (pp41)
 r2=1373965780486348413798444543281701321099663088692889197539420932838074370643421175688293752426150951769707 (pp106)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 29.31 hours.
Scaled time: 40.01 units (timescale=1.365).
Factorization parameters were as follows:
name: KA_6_157_7
n: 28896645959203594878243179450779359727070264879734381614242857401731103885737949305946301799304495401978678162311838251115093256907566767956425689
skew: 0.44
deg: 5
c5: 125
c0: 2
m: 20000000000000000000000000000000
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, 1100001)
Primes: RFBsize:315948, AFBsize:316326, largePrimes:7115036 encountered
Relations: rels:6794108, finalFF:747296
Max relations in full relation-set: 28
Initial matrix: 632339 x 747296 with sparse part having weight 32157852.
Pruned matrix : 514318 x 517543 with weight 16887335.
Total sieving time: 25.80 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 3.22 hours.
Total square root time: 0.10 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,4500000,4500000,28,28,48,48,2.5,2.5,100000
total time: 29.31 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

2×10160+13

c121

name 名前Jo Yeong Uk
date 日付July 29, 2007 02:15:26 UTC 2007 年 7 月 29 日 (日) 11 時 15 分 26 秒 (日本時間)
composite number 合成数
2998488727765767306056724256898840427400661293190185342767414314752818203241712663724341297601486372223255855543951494401<121>
prime factors 素因数
161463735175025949280548404486238854502944749577<48>
18570663712910018221335055151517350281831147548443709556829543800274598713<74>
factorization results 素因数分解の結果
Number: 66667_160
N=2998488727765767306056724256898840427400661293190185342767414314752818203241712663724341297601486372223255855543951494401
  ( 121 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=161463735175025949280548404486238854502944749577 (pp48)
 r2=18570663712910018221335055151517350281831147548443709556829543800274598713 (pp74)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 25.89 hours.
Scaled time: 55.06 units (timescale=2.127).
Factorization parameters were as follows:
n: 2998488727765767306056724256898840427400661293190185342767414314752818203241712663724341297601486372223255855543951494401
m: 100000000000000000000000000000000
c5: 2
c0: 1
skew: 0.87
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3500001)
Primes: RFBsize:283146, AFBsize:282707, largePrimes:5745066 encountered
Relations: rels:5888263, finalFF:750273
Max relations in full relation-set: 28
Initial matrix: 565918 x 750273 with sparse part having weight 47378726.
Pruned matrix : 416316 x 419209 with weight 29586910.
Total sieving time: 24.83 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.93 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 25.89 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Total of 4 processors activated (19246.12 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

2×10162+13

c148

name 名前Robert Backstrom
date 日付July 27, 2007 21:52:51 UTC 2007 年 7 月 28 日 (土) 6 時 52 分 51 秒 (日本時間)
composite number 合成数
1260593037854372908702191537268240612213565622246104193999268784722069543835151571262530708956084288244937923573974982203746499701928418153664082649<148>
prime factors 素因数
260109084099025462382032890421450150382266857071125187<54>
4846401432771397426216214806428116706548778140446303082763979669092372351100444829939195019827<94>
factorization results 素因数分解の結果
Number: n
N=1260593037854372908702191537268240612213565622246104193999268784722069543835151571262530708956084288244937923573974982203746499701928418153664082649
  ( 148 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=260109084099025462382032890421450150382266857071125187 (pp54)
 r2=4846401432771397426216214806428116706548778140446303082763979669092372351100444829939195019827 (pp94)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 41.90 hours.
Scaled time: 55.51 units (timescale=1.325).
Factorization parameters were as follows:
name: KA_6_161_7
n: 1260593037854372908702191537268240612213565622246104193999268784722069543835151571262530708956084288244937923573974982203746499701928418153664082649
skew: 0.35
deg: 5
c5: 200
c0: 1
m: 100000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1700001)
Primes: RFBsize:250150, AFBsize:249566, largePrimes:7143893 encountered
Relations: rels:6652480, finalFF:561530
Max relations in full relation-set: 48
Initial matrix: 499781 x 561530 with sparse part having weight 37610274.
Pruned matrix : 446875 x 449437 with weight 24206431.
Total sieving time: 36.44 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 5.14 hours.
Total square root time: 0.09 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 41.90 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

2×10163+13

c135

name 名前Robert Backstrom
date 日付February 5, 2008 04:05:15 UTC 2008 年 2 月 5 日 (火) 13 時 5 分 15 秒 (日本時間)
composite number 合成数
211973935831355323693477966455996075420736602698565413687534168539153599729601192528535499470177455623893501702677635272385313443225149<135>
prime factors 素因数
10377754436587567376693516896966925177426777542616355517332761623<65>
20425799928742290584344313773322626491010687290873847923471967649372363<71>
factorization results 素因数分解の結果
Number: n
N=211973935831355323693477966455996075420736602698565413687534168539153599729601192528535499470177455623893501702677635272385313443225149
  ( 135 digits)
SNFS difficulty: 163 digits.
Divisors found:

Tue Feb 05 14:44:10 2008  prp65 factor: 10377754436587567376693516896966925177426777542616355517332761623
Tue Feb 05 14:44:10 2008  prp71 factor: 20425799928742290584344313773322626491010687290873847923471967649372363
Tue Feb 05 14:44:10 2008  elapsed time 01:07:48 (Msieve 1.33)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 41.47 hours.
Scaled time: 72.75 units (timescale=1.754).
Factorization parameters were as follows:
name: KA_6_162_7
n: 211973935831355323693477966455996075420736602698565413687534168539153599729601192528535499470177455623893501702677635272385313443225149
type: snfs
skew: 0.44
deg: 5
c5: 125
c0: 2
m: 200000000000000000000000000000000
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2099990)
Primes: RFBsize:216816, AFBsize:216926, largePrimes:6940658 encountered
Relations: rels:6381595, finalFF:492593
Max relations in full relation-set: 28
Initial matrix: 433807 x 492593 with sparse part having weight 32470962.
Pruned matrix : 
Total sieving time: 41.26 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.3,2.3,100000
total time: 41.47 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

2×10164+13

c148

name 名前Robert Backstrom
date 日付August 15, 2007 06:12:38 UTC 2007 年 8 月 15 日 (水) 15 時 12 分 38 秒 (日本時間)
composite number 合成数
1240624391073862584177081105224640061651512320190878112287750695849877675218001116528687519332352510520546136007485011619473977733985821548046275417<148>
prime factors 素因数
905685704538199081405478788593241373745603366270356038442638975449577<69>
1369817790937139389142693698471450846149527260439060627521041224566510416295921<79>
factorization results 素因数分解の結果
Number: n
N=1240624391073862584177081105224640061651512320190878112287750695849877675218001116528687519332352510520546136007485011619473977733985821548046275417
  ( 148 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=905685704538199081405478788593241373745603366270356038442638975449577 (pp69)
 r2=1369817790937139389142693698471450846149527260439060627521041224566510416295921 (pp79)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 51.41 hours.
Scaled time: 61.53 units (timescale=1.197).
Factorization parameters were as follows:
name: KA_6_163_7
n: 1240624391073862584177081105224640061651512320190878112287750695849877675218001116528687519332352510520546136007485011619473977733985821548046275417
type: snfs
skew: 1.00
deg: 5
c5: 1
c0: 5
m: 1000000000000000000000000000000000
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 2000001)
Primes: RFBsize:250150, AFBsize:249616, largePrimes:7240131 encountered
Relations: rels:6756925, finalFF:561200
Max relations in full relation-set: 28
Initial matrix: 499830 x 561200 with sparse part having weight 36079230.
Pruned matrix : 447952 x 450515 with weight 24495508.
Total sieving time: 45.60 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 5.25 hours.
Total square root time: 0.23 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 51.41 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

2×10165+13

c151

name 名前Robert Backstrom
date 日付October 21, 2007 04:48:25 UTC 2007 年 10 月 21 日 (日) 13 時 48 分 25 秒 (日本時間)
composite number 合成数
6958364614900921735999678821358908199403904875839651413675026093315854699909592774863910249349186886963352504343210374853320078119407677971416772426283<151>
prime factors 素因数
11159480313913593484408359509139419441<38>
145144015245287700460200196670856548838130894793891909<54>
4295998076553065365533511361350566844970496455322403010819807<61>
factorization results 素因数分解の結果
prp38 factor: 11159480313913593484408359509139419441
prp54 factor: 145144015245287700460200196670856548838130894793891909
prp61 factor: 4295998076553065365533511361350566844970496455322403010819807


GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 6958364614900921735999678821358908199403904875839651413675026093315854699909592774863910249349186886963352504343210374853320078119407677971416772426283 (151 digits)
Using B1=1361500, B2=1303162716, polynomial Dickson(6), sigma=52991453
Step 1 took 19547ms
Step 2 took 9719ms
********** Factor found in step 2: 11159480313913593484408359509139419441
Found probable prime factor of 38 digits: 11159480313913593484408359509139419441
Composite cofactor 623538410316944757090120947223253498225421302104017860093686064012093871425660741494485547326568250544542234241563 has 114 digits


Number: n
N=623538410316944757090120947223253498225421302104017860093686064012093871425660741494485547326568250544542234241563
  ( 114 digits)
SNFS difficulty: 165 digits.
Divisors found:

Sun Oct 21 14:25:53 2007  prp54 factor: 145144015245287700460200196670856548838130894793891909
Sun Oct 21 14:25:53 2007  prp61 factor: 4295998076553065365533511361350566844970496455322403010819807
Sun Oct 21 14:25:53 2007  elapsed time 01:41:00 (Msieve 1.28)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 43.08 hours.
Scaled time: 62.64 units (timescale=1.454).
Factorization parameters were as follows:
name: KA_6_164_7

n: 623538410316944757090120947223253498225421302104017860093686064012093871425660741494485547326568250544542234241563

# n: 6958364614900921735999678821358908199403904875839651413675026093315854699909592774863910249349186886963352504343210374853320078119407677971416772426283

skew: 0.87
deg: 5
c5: 2
c0: 1
m: 1000000000000000000000000000000000
type: snfs
rlim: 2800000
alim: 2800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2300001)
Primes: RFBsize:203362, AFBsize:203032, largePrimes:7214058 encountered
Relations: rels:6650540, finalFF:426929
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 42.87 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.5,2.5,100000
total time: 43.08 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

2×10166+13

c158

name 名前Robert Backstrom
date 日付November 6, 2007 12:18:04 UTC 2007 年 11 月 6 日 (火) 21 時 18 分 4 秒 (日本時間)
composite number 合成数
50344636854682161608101744920192788040653666810468570146538058975968085769459336786587767860748567004730651422673108454261843297036637395715836030629062857819<158>
prime factors 素因数
472608263478122255214913213813840403<36>
106525087996081326022960925559747436760122308821013875848798824526842994763515192581889447596719018370039169071680038462873<123>
factorization results 素因数分解の結果
GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 50344636854682161608101744920192788040653666810468570146538058975968085769459336786587767860748567004730651422673108454261843297036637395715836030629062857819 (158 digits)
Using B1=1260000, B2=1166963547, polynomial Dickson(6), sigma=3967980228
Step 1 took 22250ms
Step 2 took 11984ms
********** Factor found in step 2: 472608263478122255214913213813840403
Found probable prime factor of 36 digits: 472608263478122255214913213813840403
Probable prime cofactor 106525087996081326022960925559747436760122308821013875848798824526842994763515192581889447596719018370039169071680038462873 has 123 digits

2×10167+13

c150

name 名前Robert Backstrom
date 日付November 15, 2007 01:24:10 UTC 2007 年 11 月 15 日 (木) 10 時 24 分 10 秒 (日本時間)
composite number 合成数
376706333569452881833796963898895894903820904576725150866190626909505248384898760572288876235614404361232252029198354520001692450611622477750149560949<150>
prime factors 素因数
35110383512037779258731687752743501077616849<44>
144490044053633250534088853071686157579676183<45>
74255636529996781604025069037975869335914287473493040697234147<62>
factorization results 素因数分解の結果
Number: n
N=376706333569452881833796963898895894903820904576725150866190626909505248384898760572288876235614404361232252029198354520001692450611622477750149560949
  ( 150 digits)
SNFS difficulty: 167 digits.
Divisors found:

Thu Nov 15 11:40:38 2007  prp44 factor: 35110383512037779258731687752743501077616849
Thu Nov 15 11:40:38 2007  prp45 factor: 144490044053633250534088853071686157579676183
Thu Nov 15 11:40:38 2007  prp62 factor: 74255636529996781604025069037975869335914287473493040697234147
Thu Nov 15 11:40:38 2007  elapsed time 03:04:59 (Msieve 1.29)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 61.61 hours.
Scaled time: 81.70 units (timescale=1.326).
Factorization parameters were as follows:
name: KA_6_166_7
n: 376706333569452881833796963898895894903820904576725150866190626909505248384898760572288876235614404361232252029198354520001692450611622477750149560949
skew: 0.35
deg: 5
c5: 200
c0: 1
m: 1000000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2850000)
Primes: RFBsize:250150, AFBsize:249566, largePrimes:7551318 encountered
Relations: rels:7059925, finalFF:577979
Max relations in full relation-set: 28
Initial matrix: 499781 x 577979 with sparse part having weight 49191823.
Pruned matrix : 444384 x 446946 with weight 33215771.
Total sieving time: 61.30 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 61.61 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

2×10169+13

c156

name 名前Robert Backstrom
date 日付July 25, 2008 14:34:02 UTC 2008 年 7 月 25 日 (金) 23 時 34 分 2 秒 (日本時間)
composite number 合成数
247345686759946268316263131816608663902423313937075401253427394805496653944142877381675229300044388850675738926738552046324162639205415759533671843014191981<156>
prime factors 素因数
1261440917199733159119900387950410686385690243<46>
196081864308815835019995393044774169560246557899424260150099777307102229210524305885773367324515406034150789967<111>
factorization results 素因数分解の結果
Number: n
N=247345686759946268316263131816608663902423313937075401253427394805496653944142877381675229300044388850675738926738552046324162639205415759533671843014191981
  ( 156 digits)
SNFS difficulty: 170 digits.
Divisors found:

Sat Jul 26 00:24:03 2008  prp46 factor: 1261440917199733159119900387950410686385690243
Sat Jul 26 00:24:03 2008  prp111 factor: 196081864308815835019995393044774169560246557899424260150099777307102229210524305885773367324515406034150789967
Sat Jul 26 00:24:03 2008  elapsed time 02:24:18 (Msieve 1.36)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 53.75 hours.
Scaled time: 70.47 units (timescale=1.311).
Factorization parameters were as follows:
name: KA_6_168_7
n: 247345686759946268316263131816608663902423313937075401253427394805496653944142877381675229300044388850675738926738552046324162639205415759533671843014191981
skew: 1.38
deg: 5
c5: 1
c0: 5
m: 10000000000000000000000000000000000
type: snfs
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved  special-q in [100000, 2100001)
Primes: RFBsize:412849, AFBsize:412271, largePrimes:9846876 encountered
Relations: rels:9579900, finalFF:971104
Max relations in full relation-set: 28
Initial matrix: 825184 x 971103 with sparse part having weight 57456378.
Pruned matrix : 
Total sieving time: 53.39 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,170,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,50,50,2.5,2.5,100000
total time: 53.75 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

2×10172+13

c162

name 名前Jo Yeong Uk
date 日付May 22, 2009 12:53:25 UTC 2009 年 5 月 22 日 (金) 21 時 53 分 25 秒 (日本時間)
composite number 合成数
953745096581329347038200775768507611618084673281090437797093323267618218445186838896418777162493147199015389346805459313594862392389699576171077293841543738531507<162>
prime factors 素因数
31923954769587137972250253982544737507<38>
29875530881591454506940299770383247214954619398774924636746552858006558949858905691700278509265508508706937584865642995542001<125>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 953745096581329347038200775768507611618084673281090437797093323267618218445186838896418777162493147199015389346805459313594862392389699576171077293841543738531507 (162 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3322220783
Step 1 took 14428ms
Step 2 took 6321ms
********** Factor found in step 2: 31923954769587137972250253982544737507
Found probable prime factor of 38 digits: 31923954769587137972250253982544737507
Probable prime cofactor 29875530881591454506940299770383247214954619398774924636746552858006558949858905691700278509265508508706937584865642995542001 has 125 digits
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Jo Yeong UkMay 21, 2009 11:07:35 UTC 2009 年 5 月 21 日 (木) 20 時 7 分 35 秒 (日本時間)
255e4204Jo Yeong UkMay 21, 2009 11:07:40 UTC 2009 年 5 月 21 日 (木) 20 時 7 分 40 秒 (日本時間)
3025e4403Jo Yeong UkMay 21, 2009 11:07:47 UTC 2009 年 5 月 21 日 (木) 20 時 7 分 47 秒 (日本時間)
351e6828Jo Yeong UkMay 21, 2009 11:07:53 UTC 2009 年 5 月 21 日 (木) 20 時 7 分 53 秒 (日本時間)

2×10173+13

c130

name 名前suberi
date 日付March 12, 2007 14:19:45 UTC 2007 年 3 月 12 日 (月) 23 時 19 分 45 秒 (日本時間)
composite number 合成数
1680576033089870868963499694810832703706063596917344726240449356900159434785066948305141904898456764011525077492362488490487304421<130>
prime factors 素因数
11430617272077882869154127363<29>
composite cofactor 合成数の残り
147024083921967587987395231596813878970053978418196045340299325824837867451060084011196308738724459767<102>
factorization results 素因数分解の結果
Input number is 1680576033089870868963499694810832703706063596917344726240449356900159434785066948305141904898456764011525077492362488490487304421 (130 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=494617960
Step 1 took 18018ms
Step 2 took 10031ms
********** Factor found in step 2: 11430617272077882869154127363
Found probable prime factor of 29 digits: 11430617272077882869154127363
Composite cofactor 147024083921967587987395231596813878970053978418196045340299325824837867451060084011196308738724459767 has 102 digits
software ソフトウェア
GMP-ECM 6.1.2
execution environment 実行環境
Sempron 3400+ 1.80GHz, Windows Vista

c102

name 名前Shaopu Lin
date 日付March 13, 2007 09:44:33 UTC 2007 年 3 月 13 日 (火) 18 時 44 分 33 秒 (日本時間)
composite number 合成数
147024083921967587987395231596813878970053978418196045340299325824837867451060084011196308738724459767<102>
prime factors 素因数
66429507839354412739936008855315386915039609<44>
2213234580595026489302987004215298111708002099947957511663<58>
factorization results 素因数分解の結果
Number: 2_173_+1
N=147024083921967587987395231596813878970053978418196045340299325824837867451060084011196308738724459767
  ( 102 digits)
Divisors found:
 r1=66429507839354412739936008855315386915039609 (pp44)
 r2=2213234580595026489302987004215298111708002099947957511663 (pp58)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 11.33 hours.
Scaled time: 14.45 units (timescale=1.275).
Factorization parameters were as follows:
name: 2_173_+1
n: 147024083921967587987395231596813878970053978418196045340299325824837867451060084011196308738724459767
skew: 8504.53
# norm 7.18e+13
c5: 27720
c4: 928856
c3: 838999784614
c2: 13811724910760072
c1: -145254733038042269233
c0: 586307634080437791242630
# alpha -6.12
Y1: 9676492943
Y0: -22126822396585063233
# Murphy_E 2.89e-09
# M 27762482580871199612752955659640071218869230702763312386995455804620665012658065600234887922006868397
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1750001)
Primes: RFBsize:169511, AFBsize:169435, largePrimes:4472688 encountered
Relations: rels:4713994, finalFF:404523
Max relations in full relation-set: 0
Initial matrix: 339029 x 404523 with sparse part having weight 16607813.
Pruned matrix : 274559 x 276318 with weight 10059418.
Total sieving time: 9.84 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 1.03 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 11.33 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
CPU0: Intel(R) Pentium(R) 4 CPU 2.80GHz stepping 03
Memory: 999440k/1015744k available (2177k kernel code, 15688k reserved, 1108k data, 240k init, 98240k highmem)
Calibrating delay using timer specific routine.. 5629.31 BogoMIPS (lpj=2814657)
Total of 1 processors activated (5629.31 BogoMIPS).
x86info v1.20.  Dave Jones 2001-2006
Feedback to <davej@redhat.com>.

Found 1 CPU
--------------------------------------------------------------------------
Family: 15 Model: 3 Stepping: 3 Type: 0 Brand: 0
CPU Model: Pentium 4 (Prescott) [C0] Original OEM
Processor name string: Intel(R) Pentium(R) 4 CPU 2.80GHz

Feature flags:
 fpu vme de pse tsc msr pae mce cx8 apic sep mtrr pge mca cmov pat pse36 clflsh ds acpi mmx fxsr sse sse2 ss ht tm pbe sse3 monitor ds-cpl cntx-id
Extended feature flags:

Cache info
 Instruction trace cache: 12K uOps, 8-way associative.
 L1 Data cache: 16KB, sectored, 8-way associative. 64 byte line size.
 L2 unified cache: 1MB, sectored, 8-way associative. 64 byte line size.
TLB info
 Instruction TLB: 4K, 2MB or 4MB pages, fully associative, 128 entries.
 Data TLB: 4KB or 4MB pages, fully associative, 64 entries.
The physical package supports 1 logical processors 

2.80GHz processor (estimate).

2×10175+13

c170

name 名前Jo Yeong Uk
date 日付October 4, 2008 05:24:37 UTC 2008 年 10 月 4 日 (土) 14 時 24 分 37 秒 (日本時間)
composite number 合成数
27662172946671479884759387504166614800092391657641882742815096354263916493432308588136523888361002421823241481088063910684375989787125748088889626546834133461685815805889<170>
prime factors 素因数
1050191318423217125232464277698554503013130761249<49>
26340127233392236974087975009212418003633400562423119067589738496416129946457990774500568552310756834852983770264132755361<122>
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 27662172946671479884759387504166614800092391657641882742815096354263916493432308588136523888361002421823241481088063910684375989787125748088889626546834133461685815805889 (170 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1712934266
Step 1 took 16245ms
Step 2 took 7139ms
********** Factor found in step 2: 1050191318423217125232464277698554503013130761249
Found probable prime factor of 49 digits: 1050191318423217125232464277698554503013130761249
Probable prime cofactor 26340127233392236974087975009212418003633400562423119067589738496416129946457990774500568552310756834852983770264132755361 has 122 digits
execution environment 実行環境
Core 2 Quad Q6700

2×10176+13

c149

name 名前Jo Yeong Uk
date 日付May 25, 2009 02:05:41 UTC 2009 年 5 月 25 日 (月) 11 時 5 分 41 秒 (日本時間)
composite number 合成数
74786740581353412957536483508702404864499831989498538968548097789732163315742538650870690452878548195480134264825891327689726788458624388437703617161<149>
prime factors 素因数
1103614510810071915219795913454294436119696473<46>
67765274784633510325405809275250340559244879028941434970319872358880286167373422167498357591651212673457<104>
factorization results 素因数分解の結果
Number: 66667_176
N=74786740581353412957536483508702404864499831989498538968548097789732163315742538650870690452878548195480134264825891327689726788458624388437703617161
  ( 149 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=1103614510810071915219795913454294436119696473
 r2=67765274784633510325405809275250340559244879028941434970319872358880286167373422167498357591651212673457
Version: 
Total time: 41.82 hours.
Scaled time: 99.56 units (timescale=2.381).
Factorization parameters were as follows:
n: 74786740581353412957536483508702404864499831989498538968548097789732163315742538650870690452878548195480134264825891327689726788458624388437703617161
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, 6200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17375629
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1270401 x 1270648
Total sieving time: 35.56 hours.
Total relation processing time: 2.43 hours.
Matrix solve time: 3.67 hours.
Time per square root: 0.16 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: 41.82 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 21, 2009 11:08:08 UTC 2009 年 5 月 21 日 (木) 20 時 8 分 8 秒 (日本時間)
255e4204Jo Yeong UkMay 21, 2009 11:08:14 UTC 2009 年 5 月 21 日 (木) 20 時 8 分 14 秒 (日本時間)
3025e4403Jo Yeong UkMay 21, 2009 11:08:18 UTC 2009 年 5 月 21 日 (木) 20 時 8 分 18 秒 (日本時間)
351e6828Jo Yeong UkMay 21, 2009 11:08:23 UTC 2009 年 5 月 21 日 (木) 20 時 8 分 23 秒 (日本時間)

2×10178+13

c177

name 名前Wataru Sakai
date 日付July 17, 2008 12:50:48 UTC 2008 年 7 月 17 日 (木) 21 時 50 分 48 秒 (日本時間)
composite number 合成数
112994350282485875706214689265536723163841807909604519774011299435028248587570621468926553672316384180790960451977401129943502824858757062146892655367231638418079096045197740113<177>
prime factors 素因数
185421820977433014232739114726348871301256180810891425507564250791297781333322283<81>
609390791692408139110213498907677209688513214774525388871591629305745057845486938328656711665011<96>
factorization results 素因数分解の結果
Number: 66667_178
N=112994350282485875706214689265536723163841807909604519774011299435028248587570621468926553672316384180790960451977401129943502824858757062146892655367231638418079096045197740113
  ( 177 digits)
SNFS difficulty: 178 digits.
Divisors found:
 r1=185421820977433014232739114726348871301256180810891425507564250791297781333322283 (pp81)
 r2=609390791692408139110213498907677209688513214774525388871591629305745057845486938328656711665011 (pp96)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 257.83 hours.
Scaled time: 519.01 units (timescale=2.013).
Factorization parameters were as follows:
n: 112994350282485875706214689265536723163841807909604519774011299435028248587570621468926553672316384180790960451977401129943502824858757062146892655367231638418079096045197740113
m: 200000000000000000000000000000000000
c5: 125
c0: 2
skew: 0.44
type: snfs
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 
)
Primes: RFBsize:501962, AFBsize:501581, largePrimes:6581325 encountered
Relations: rels:7061543, finalFF:1142735
Max relations in full relation-set: 32
Initial matrix: 1003608 x 1142735 with sparse part having weight 81062804.
Pruned matrix : 887061 x 892143 with weight 62469237.
Total sieving time: 255.54 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.98 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 257.83 hours.
 --------- CPU info (if available) ----------

2×10180+13

c161

name 名前Jo Yeong Uk
date 日付May 27, 2009 04:16:50 UTC 2009 年 5 月 27 日 (水) 13 時 16 分 50 秒 (日本時間)
composite number 合成数
60805685348182876641979890690791410598648830455271886745185368187421994147748888627596878591817404759980073838738634174475982237199577653112470341374075805838707<161>
prime factors 素因数
1425608464044510496227793232639877013972121<43>
42652444118965609051628435266578532444132686084908100215479465855804466932393039505383096680112378775502273023323954667<119>
factorization results 素因数分解の結果
Number: 66667_180
N=60805685348182876641979890690791410598648830455271886745185368187421994147748888627596878591817404759980073838738634174475982237199577653112470341374075805838707
  ( 161 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=1425608464044510496227793232639877013972121
 r2=42652444118965609051628435266578532444132686084908100215479465855804466932393039505383096680112378775502273023323954667
Version: 
Total time: 60.71 hours.
Scaled time: 144.91 units (timescale=2.387).
Factorization parameters were as follows:
n: 60805685348182876641979890690791410598648830455271886745185368187421994147748888627596878591817404759980073838738634174475982237199577653112470341374075805838707
m: 1000000000000000000000000000000000000
deg: 5
c5: 2
c0: 1
skew: 0.87
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [2600000, 4300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17440824
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1137720 x 1137968
Total sieving time: 55.66 hours.
Total relation processing time: 1.55 hours.
Matrix solve time: 2.86 hours.
Time per square root: 0.64 hours.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,5200000,5200000,28,28,53,53,2.5,2.5,100000
total time: 60.71 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 21, 2009 11:08:43 UTC 2009 年 5 月 21 日 (木) 20 時 8 分 43 秒 (日本時間)
255e4204Jo Yeong UkMay 21, 2009 11:08:55 UTC 2009 年 5 月 21 日 (木) 20 時 8 分 55 秒 (日本時間)
3025e4403Jo Yeong UkMay 21, 2009 11:08:59 UTC 2009 年 5 月 21 日 (木) 20 時 8 分 59 秒 (日本時間)
351e6828Jo Yeong UkMay 21, 2009 11:09:04 UTC 2009 年 5 月 21 日 (木) 20 時 9 分 4 秒 (日本時間)

2×10181+13

c180

name 名前suberi
date 日付March 14, 2007 02:42:33 UTC 2007 年 3 月 14 日 (水) 11 時 42 分 33 秒 (日本時間)
composite number 合成数
952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952381<180>
prime factors 素因数
67255070283668769619862559473201<32>
14160730906443116746495111115047641558481701837678541313334391465479394184166860056522357072852820398128709983357170191950212503099674765380256703181<149>
factorization results 素因数分解の結果
Input number is 952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952381 (180 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1685726523
Step 1 took 28345ms
Step 2 took 9173ms
********** Factor found in step 2: 67255070283668769619862559473201
Found probable prime factor of 32 digits: 67255070283668769619862559473201
Probable prime cofactor 14160730906443116746495111115047641558481701837678541313334391465479394184166860056522357072852820398128709983357170191950212503099674765380256703181 has 149 digits
software ソフトウェア
GMP-ECM 6.1.2
execution environment 実行環境
Sempron 3400+ 1.80GHz, Windows Vista

2×10182+13

c175

name 名前suberi
date 日付March 12, 2007 04:43:50 UTC 2007 年 3 月 12 日 (月) 13 時 43 分 50 秒 (日本時間)
composite number 合成数
4637133735702064713937190626377301174718133564800500884637595594222140639582698770563688353915135490903555014525705498743325164790401207361236497275185438398449008605152259011<175>
prime factors 素因数
1585124564388882215739248989409<31>
2925406520016824459793686144437048199244743707159174486289472705344922902509467003357759004945188155785099130434982841704107321288453540961497379<145>
factorization results 素因数分解の結果
Input number is 4637133735702064713937190626377301174718133564800500884637595594222140639582698770563688353915135490903555014525705498743325164790401207361236497275185438398449008605152259011 (175 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3694287902
Step 1 took 29468ms
Step 2 took 14742ms
********** Factor found in step 2: 1585124564388882215739248989409
Found probable prime factor of 31 digits: 1585124564388882215739248989409
Probable prime cofactor 2925406520016824459793686144437048199244743707159174486289472705344922902509467003357759004945188155785099130434982841704107321288453540961497379 has 145 digits
software ソフトウェア
GMP-ECM 6.1.2
execution environment 実行環境
Sempron 3400+ 1.80GHz, Windows Vista

2×10183+13

c174

name 名前Jo Yeong Uk
date 日付May 25, 2009 13:10:56 UTC 2009 年 5 月 25 日 (月) 22 時 10 分 56 秒 (日本時間)
composite number 合成数
379711375471398074234106639718109884265998516506006882170335172843003391956211271054661861198218055599683554842890969670141327812629146543076795651919267864113486694516510167<174>
prime factors 素因数
45500165622286770651251939807357753869<38>
composite cofactor 合成数の残り
8345274578196455040772840047280934924400950145019956077371379711181517748470254840649874990874138242711129166964755686037538473271280243<136>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 379711375471398074234106639718109884265998516506006882170335172843003391956211271054661861198218055599683554842890969670141327812629146543076795651919267864113486694516510167 (174 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=249765663
Step 1 took 18603ms
Step 2 took 7278ms
********** Factor found in step 2: 45500165622286770651251939807357753869
Found probable prime factor of 38 digits: 45500165622286770651251939807357753869
Composite cofactor 8345274578196455040772840047280934924400950145019956077371379711181517748470254840649874990874138242711129166964755686037538473271280243 has 136 digits
execution environment 実行環境
Core 2 Quad Q6700

c136

name 名前Jo Yeong Uk
date 日付May 31, 2009 01:09:58 UTC 2009 年 5 月 31 日 (日) 10 時 9 分 58 秒 (日本時間)
composite number 合成数
8345274578196455040772840047280934924400950145019956077371379711181517748470254840649874990874138242711129166964755686037538473271280243<136>
prime factors 素因数
1768102116358568726804059735346898250979675156958250450963<58>
4719905315980089354175144342714435067318349425166521859528612903312864663830561<79>
factorization results 素因数分解の結果
Number: 66667_183
N=8345274578196455040772840047280934924400950145019956077371379711181517748470254840649874990874138242711129166964755686037538473271280243
  ( 136 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=1768102116358568726804059735346898250979675156958250450963
 r2=4719905315980089354175144342714435067318349425166521859528612903312864663830561
Version: 
Total time: 84.74 hours.
Scaled time: 202.26 units (timescale=2.387).
Factorization parameters were as follows:
n: 8345274578196455040772840047280934924400950145019956077371379711181517748470254840649874990874138242711129166964755686037538473271280243
m: 10000000000000000000000000000000000000
deg: 5
c5: 1
c0: 50
skew: 2.19
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
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: 54/54
Sieved rational special-q in [3400000, 5700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19866084
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1321278 x 1321526
Total sieving time: 78.16 hours.
Total relation processing time: 2.42 hours.
Matrix solve time: 4.00 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,54,54,2.5,2.5,100000
total time: 84.74 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 21, 2009 11:09:12 UTC 2009 年 5 月 21 日 (木) 20 時 9 分 12 秒 (日本時間)
255e4204Jo Yeong UkMay 21, 2009 11:09:18 UTC 2009 年 5 月 21 日 (木) 20 時 9 分 18 秒 (日本時間)
3025e4403Jo Yeong UkMay 21, 2009 11:09:23 UTC 2009 年 5 月 21 日 (木) 20 時 9 分 23 秒 (日本時間)
351e6828Jo Yeong UkMay 21, 2009 11:09:35 UTC 2009 年 5 月 21 日 (木) 20 時 9 分 35 秒 (日本時間)

2×10185+13

c181

name 名前matsui
date 日付August 4, 2008 20:02:37 UTC 2008 年 8 月 5 日 (火) 5 時 2 分 37 秒 (日本時間)
composite number 合成数
3153131848208232827255671695911964558798026139463021646250137949518359110186192435636696148449447413643601507197023443535291428211070645919059105456494663324346907565939869775654669<181>
prime factors 素因数
900453601285265582520047067012732576071069650788340131680486043607858213615331267<81>
3501714962000928317461759364309288753778079923142299914269367242522743703784043573496181765706887407<100>
factorization results 素因数分解の結果
N=3153131848208232827255671695911964558798026139463021646250137949518359110186192435636696148449447413643601507197023443535291428211070645919059105456494663324346907565939869775654669
  ( 181 digits)

SNFS difficulty: 185 digits.

Divisors found:

 r1=900453601285265582520047067012732576071069650788340131680486043607858213615331267 (pp81)

 r2=3501714962000928317461759364309288753778079923142299914269367242522743703784043573496181765706887407 (pp100)

Version: GGNFS-0.77.1-20060513-pentium-m

Total time: 298.03 hours.

Scaled time: 848.78 units (timescale=2.848).

Factorization parameters were as follows:

n: 3153131848208232827255671695911964558798026139463021646250137949518359110186192435636696148449447413643601507197023443535291428211070645919059105456494663324346907565939869775654669
m: 10000000000000000000000000000000000000
c5: 2
c0: 1
skew: 0.87
type: snfs



Factor base limits: 7400000/7400000

Large primes per side: 3

Large prime bits: 27/27

Max factor residue bits: 48/48

Sieved algebraic special-q in [3700000, 10800001)

Primes: RFBsize:501962, AFBsize:501936, largePrimes:6574782 encountered

Relations: rels:7037035, finalFF:1136338

Max relations in full relation-set: 28

Initial matrix: 1003963 x 1136338 with sparse part having weight 79195228.

Pruned matrix : 896127 x 901210 with weight 62006881.

Total sieving time: 291.34 hours.

Total relation processing time: 0.13 hours.

Matrix solve time: 6.33 hours.

Time per square root: 0.22 hours.

Prototype def-par.txt line would be:

snfs,185,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000

total time: 298.03 hours.

2×10186+13

c159

name 名前Jo Yeong Uk
date 日付June 3, 2009 15:28:12 UTC 2009 年 6 月 4 日 (木) 0 時 28 分 12 秒 (日本時間)
composite number 合成数
380215425828206486972276085410708135299591961689712370600918694125902131065848858643968804230144200389046038423936391956686137469192075622992358872536490058969<159>
prime factors 素因数
4206917503932403168642670324369591892367492856212867<52>
90378626505701927771029832024922188717613437390639233047108160799437912965230133400154778880592650723086707<107>
factorization results 素因数分解の結果
Number: 66667_186
N=380215425828206486972276085410708135299591961689712370600918694125902131065848858643968804230144200389046038423936391956686137469192075622992358872536490058969
  ( 159 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=4206917503932403168642670324369591892367492856212867
 r2=90378626505701927771029832024922188717613437390639233047108160799437912965230133400154778880592650723086707
Version: 
Total time: 98.62 hours.
Scaled time: 235.31 units (timescale=2.386).
Factorization parameters were as follows:
n: 380215425828206486972276085410708135299591961689712370600918694125902131065848858643968804230144200389046038423936391956686137469192075622992358872536490058969
m: 10000000000000000000000000000000000000
deg: 5
c5: 20
c0: 1
skew: 0.55
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3900000, 6500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19636934
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1626273 x 1626520
Total sieving time: 89.24 hours.
Total relation processing time: 2.68 hours.
Matrix solve time: 6.01 hours.
Time per square root: 0.68 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,54,54,2.5,2.5,100000
total time: 98.62 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 21, 2009 11:09:47 UTC 2009 年 5 月 21 日 (木) 20 時 9 分 47 秒 (日本時間)
255e4204Jo Yeong UkMay 21, 2009 11:09:52 UTC 2009 年 5 月 21 日 (木) 20 時 9 分 52 秒 (日本時間)
3025e4403Jo Yeong UkMay 21, 2009 11:09:56 UTC 2009 年 5 月 21 日 (木) 20 時 9 分 56 秒 (日本時間)
351e6828Jo Yeong UkMay 21, 2009 11:10:01 UTC 2009 年 5 月 21 日 (木) 20 時 10 分 1 秒 (日本時間)
403e62111Jo Yeong UkJune 1, 2009 01:54:47 UTC 2009 年 6 月 1 日 (月) 10 時 54 分 47 秒 (日本時間)

2×10187+13

c175

name 名前Jo Yeong Uk
date 日付June 8, 2009 09:56:59 UTC 2009 年 6 月 8 日 (月) 18 時 56 分 59 秒 (日本時間)
composite number 合成数
5608991155444216796145843881216219198330238812809990245289610633020319055475951327318681109826779298887702399873401084096868614468301634210121695696972944460387689897144795027<175>
prime factors 素因数
832957047027425833335054553975046273267520991369<48>
6733830004153306475052063018140541113462683578069214987182885775529843283897925895868514070483631862407825839272911409226010683<127>
factorization results 素因数分解の結果
Number: 66667_187
N=5608991155444216796145843881216219198330238812809990245289610633020319055475951327318681109826779298887702399873401084096868614468301634210121695696972944460387689897144795027
  ( 175 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=832957047027425833335054553975046273267520991369
 r2=6733830004153306475052063018140541113462683578069214987182885775529843283897925895868514070483631862407825839272911409226010683
Version: 
Total time: 114.35 hours.
Scaled time: 272.96 units (timescale=2.387).
Factorization parameters were as follows:
n: 5608991155444216796145843881216219198330238812809990245289610633020319055475951327318681109826779298887702399873401084096868614468301634210121695696972944460387689897144795027
m: 20000000000000000000000000000000000000
deg: 5
c5: 25
c0: 4
skew: 0.69
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 7200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20006057
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1668637 x 1668883
Total sieving time: 103.50 hours.
Total relation processing time: 3.18 hours.
Matrix solve time: 6.64 hours.
Time per square root: 1.03 hours.
Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 114.35 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
2011e374Jo Yeong UkMay 21, 2009 11:10:12 UTC 2009 年 5 月 21 日 (木) 20 時 10 分 12 秒 (日本時間)
255e4204Jo Yeong UkMay 21, 2009 11:10:25 UTC 2009 年 5 月 21 日 (木) 20 時 10 分 25 秒 (日本時間)
3025e4403Jo Yeong UkMay 21, 2009 11:10:29 UTC 2009 年 5 月 21 日 (木) 20 時 10 分 29 秒 (日本時間)
351e6828Jo Yeong UkMay 21, 2009 11:10:34 UTC 2009 年 5 月 21 日 (木) 20 時 10 分 34 秒 (日本時間)
403e62111Jo Yeong UkJune 5, 2009 05:12:18 UTC 2009 年 6 月 5 日 (金) 14 時 12 分 18 秒 (日本時間)

2×10189+13

c140

name 名前Jo Yeong Uk
date 日付June 17, 2009 23:15:08 UTC 2009 年 6 月 18 日 (木) 8 時 15 分 8 秒 (日本時間)
composite number 合成数
35654109360945749376081662769339983989787406080664915477018647301233533367134903422592365407581183879146350856255226267556261179388069412803<140>
prime factors 素因数
4746350295580571237653643884883727173586562822307651507<55>
7511900121266661845814589063433511839761657945042526497565623384799661040038440081329<85>
factorization results 素因数分解の結果
Number: 66667_189
N=35654109360945749376081662769339983989787406080664915477018647301233533367134903422592365407581183879146350856255226267556261179388069412803
  ( 140 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=4746350295580571237653643884883727173586562822307651507
 r2=7511900121266661845814589063433511839761657945042526497565623384799661040038440081329
Version: 
Total time: 121.93 hours.
Scaled time: 291.79 units (timescale=2.393).
Factorization parameters were as follows:
n: 35654109360945749376081662769339983989787406080664915477018647301233533367134903422592365407581183879146350856255226267556261179388069412803
m: 100000000000000000000000000000000000000
deg: 5
c5: 1
c0: 5
skew: 1.38
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, 7700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20417084
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1659788 x 1660036
Total sieving time: 112.16 hours.
Total relation processing time: 3.42 hours.
Matrix solve time: 6.18 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: 121.93 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.. 5344.77 BogoMIPS (lpj=2672386)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672306)
Calibrating delay using timer specific routine.. 5237.81 BogoMIPS (lpj=2618905)
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 21, 2009 11:10:43 UTC 2009 年 5 月 21 日 (木) 20 時 10 分 43 秒 (日本時間)
255e4204Jo Yeong UkMay 21, 2009 11:10:47 UTC 2009 年 5 月 21 日 (木) 20 時 10 分 47 秒 (日本時間)
3025e4403Jo Yeong UkMay 21, 2009 11:10:54 UTC 2009 年 5 月 21 日 (木) 20 時 10 分 54 秒 (日本時間)
351e6828Jo Yeong UkMay 21, 2009 11:11:00 UTC 2009 年 5 月 21 日 (木) 20 時 11 分 0 秒 (日本時間)
403e62111Jo Yeong UkJune 1, 2009 01:54:55 UTC 2009 年 6 月 1 日 (月) 10 時 54 分 55 秒 (日本時間)

2×10191+13

c184

name 名前Jo Yeong Uk
date 日付October 25, 2009 00:25:45 UTC 2009 年 10 月 25 日 (日) 9 時 25 分 45 秒 (日本時間)
composite number 合成数
1434406152231100789889456270633080821191497646465831588396179221102111192683398311573427864141340128230028944236263102878843823887829783153004453694834093105998031722221970005807121587<184>
prime factors 素因数
15883788275518933823378174648633065329129145471009<50>
129154159023019835829280546025015851553267122632403<51>
699213257067203864864521928555707071916884215419505461497175542943038439663014948481<84>
factorization results 素因数分解の結果
Number: 66667_191
N=1434406152231100789889456270633080821191497646465831588396179221102111192683398311573427864141340128230028944236263102878843823887829783153004453694834093105998031722221970005807121587
  ( 184 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=15883788275518933823378174648633065329129145471009
 r2=129154159023019835829280546025015851553267122632403
 r3=699213257067203864864521928555707071916884215419505461497175542943038439663014948481
Version: 
Total time: 149.38 hours.
Scaled time: 353.14 units (timescale=2.364).
Factorization parameters were as follows:
n: 1434406152231100789889456270633080821191497646465831588396179221102111192683398311573427864141340128230028944236263102878843823887829783153004453694834093105998031722221970005807121587
m: 100000000000000000000000000000000000000
deg: 5
c5: 20
c0: 1
skew: 0.55
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5000000, 8700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 21632821
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1981244 x 1981491
Total sieving time: 133.97 hours.
Total relation processing time: 4.32 hours.
Matrix solve time: 10.51 hours.
Time per square root: 0.59 hours.
Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,55,55,2.5,2.5,100000
total time: 149.38 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 21, 2009 11:11:18 UTC 2009 年 5 月 21 日 (木) 20 時 11 分 18 秒 (日本時間)
255e4204Jo Yeong UkMay 21, 2009 11:11:24 UTC 2009 年 5 月 21 日 (木) 20 時 11 分 24 秒 (日本時間)
3025e4403Jo Yeong UkMay 21, 2009 11:11:30 UTC 2009 年 5 月 21 日 (木) 20 時 11 分 30 秒 (日本時間)
351e6828Jo Yeong UkMay 21, 2009 11:11:37 UTC 2009 年 5 月 21 日 (木) 20 時 11 分 37 秒 (日本時間)
403e62111Jo Yeong UkJune 5, 2009 05:12:31 UTC 2009 年 6 月 5 日 (金) 14 時 12 分 31 秒 (日本時間)

2×10192+13

c147

name 名前Serge Batalov
date 日付July 13, 2008 18:55:10 UTC 2008 年 7 月 14 日 (月) 3 時 55 分 10 秒 (日本時間)
composite number 合成数
923583449815294817679715859135061013858601722124768243932984954625603001788830065486361178627396523417754794968781460598313845654478135945757076513<147>
prime factors 素因数
11948477248990278755249447965289499937<38>
166390757028721578564820877464821642636142609<45>
464552052602373136402651573347040115738820665732325211913648101361<66>
factorization results 素因数分解の結果
# first, by ECM

Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=3529291452
Step 1 took 5972ms
Step 2 took 5538ms
********** Factor found in step 2: 11948477248990278755249447965289499937
Found probable prime factor of 38 digits: 11948477248990278755249447965289499937
Composite cofactor 77297167711755354438769313097704800502672814513221504344872692101599293570057314899883042225028440669682990849 has 110 digits

# then by Msieve/gnfs,110

Number: 66667_192
N=77297167711755354438769313097704800502672814513221504344872692101599293570057314899883042225028440669682990849
  ( 110 digits)
Divisors found:
 r1=166390757028721578564820877464821642636142609
 r2=464552052602373136402651573347040115738820665732325211913648101361

Factorization parameters were as follows:
name: 66667_192
n: 77297167711755354438769313097704800502672814513221504344872692101599293570057314899883042225028440669682990849
skew: 10017.40
# norm 6.40e+14
c5: 74880
c4: 2885407200
c3: 17695074766288
c2: -253585168675014076
c1: 568043165283630402721
c0: -813150504652600490326365
# alpha -5.61
Y1: 345585391877
Y0: -1006371663273310375634
# Murphy_E 1.14e-09
# M 31155127991704449356442579169587931086327302371789743816853144263449870130460753713703574862673252103015339066
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2900001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 369426 x 369674
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000

total time: 11.00 hours.
software ソフトウェア
GMP-ECM 6.2.1+Msieve-1.36
execution environment 実行環境
Opteron-2.8GHz; Linux x86_64

2×10195+13

c177

name 名前Jo Yeong Uk
date 日付May 22, 2009 12:46:25 UTC 2009 年 5 月 22 日 (金) 21 時 46 分 25 秒 (日本時間)
composite number 合成数
773680212255005402213215670718471636322872901200645179715616504990970707569170676906984764825388611905986628614026077579135645235380535252670977400250192112030102091574021842121<177>
prime factors 素因数
20445535278979404077682352742063245387<38>
37841034812644230659598583398507678171373442415633054522576738535458043251909493707277588574988992770463156691080518508056734230085009425083<140>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 773680212255005402213215670718471636322872901200645179715616504990970707569170676906984764825388611905986628614026077579135645235380535252670977400250192112030102091574021842121 (177 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2093518856
Step 1 took 17167ms
Step 2 took 7023ms
********** Factor found in step 2: 20445535278979404077682352742063245387
Found probable prime factor of 38 digits: 20445535278979404077682352742063245387
Probable prime cofactor 37841034812644230659598583398507678171373442415633054522576738535458043251909493707277588574988992770463156691080518508056734230085009425083 has 140 digits
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Jo Yeong UkMay 21, 2009 11:11:48 UTC 2009 年 5 月 21 日 (木) 20 時 11 分 48 秒 (日本時間)
255e4204Jo Yeong UkMay 21, 2009 11:11:52 UTC 2009 年 5 月 21 日 (木) 20 時 11 分 52 秒 (日本時間)
3025e4403Jo Yeong UkMay 21, 2009 11:11:58 UTC 2009 年 5 月 21 日 (木) 20 時 11 分 58 秒 (日本時間)
351e6828Jo Yeong UkMay 21, 2009 11:12:03 UTC 2009 年 5 月 21 日 (木) 20 時 12 分 3 秒 (日本時間)

2×10197+13

c197

name 名前Wataru Sakai
date 日付November 1, 2008 08:20:36 UTC 2008 年 11 月 1 日 (土) 17 時 20 分 36 秒 (日本時間)
composite number 合成数
66666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<197>
prime factors 素因数
220392158565284374291688840255616335178470607209821260561705899731767149903089665630652594920421<96>
302491100866089681760705045981867175663870543867735929938582966213623707361104074371799068296165909327<102>
factorization results 素因数分解の結果
Number: 66667_197
N=66666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667
  ( 197 digits)
SNFS difficulty: 197 digits.
Divisors found:
 r1=220392158565284374291688840255616335178470607209821260561705899731767149903089665630652594920421 (pp96)
 r2=302491100866089681760705045981867175663870543867735929938582966213623707361104074371799068296165909327 (pp102)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 2956.25 hours.
Scaled time: 5581.40 units (timescale=1.888).
Factorization parameters were as follows:
n: 66666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667
m: 1000000000000000000000000000000000000000
c5: 200
c0: 1
skew: 0.35
type: snfs
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 50700001)
Primes: RFBsize:501962, AFBsize:501861, largePrimes:8502861 encountered
Relations: rels:9534666, finalFF:1152190
Max relations in full relation-set: 32
Initial matrix: 1003888 x 1152190 with sparse part having weight 195186395.
Pruned matrix : 916465 x 921548 with weight 179477863.
Total sieving time: 2935.44 hours.
Total relation processing time: 0.48 hours.
Matrix solve time: 19.96 hours.
Time per square root: 0.36 hours.
Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 2956.25 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Jo Yeong UkAugust 5, 2008 11:32:55 UTC 2008 年 8 月 5 日 (火) 20 時 32 分 55 秒 (日本時間)
255e4214Jo Yeong UkAugust 5, 2008 11:32:59 UTC 2008 年 8 月 5 日 (火) 20 時 32 分 59 秒 (日本時間)
3025e4430Jo Yeong UkAugust 5, 2008 11:33:05 UTC 2008 年 8 月 5 日 (火) 20 時 33 分 5 秒 (日本時間)
351e6904Jo Yeong UkAugust 5, 2008 11:33:10 UTC 2008 年 8 月 5 日 (火) 20 時 33 分 10 秒 (日本時間)
403e62350Jo Yeong UkAugust 5, 2008 11:33:20 UTC 2008 年 8 月 5 日 (火) 20 時 33 分 20 秒 (日本時間)
4511e63156 / 3918Jo Yeong UkAugust 5, 2008 11:33:29 UTC 2008 年 8 月 5 日 (火) 20 時 33 分 29 秒 (日本時間)

2×10198+13

c182

name 名前Jo Yeong Uk
date 日付December 16, 2009 02:34:51 UTC 2009 年 12 月 16 日 (水) 11 時 34 分 51 秒 (日本時間)
composite number 合成数
61460218173376274139436257924925696309875419738351789195735595207504741324042282642242875514121009483559905778993186545329492535174833115309207892574829946390934849157827781851867857<182>
prime factors 素因数
129389304721127158993072298490322182653518774585778107201775886232669989219843001<81>
475002306456793448468446173700751795865776779342906923374169016985392423513854627200194137571758416857<102>
factorization results 素因数分解の結果
Number: 66667_198
N=61460218173376274139436257924925696309875419738351789195735595207504741324042282642242875514121009483559905778993186545329492535174833115309207892574829946390934849157827781851867857
  ( 182 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=129389304721127158993072298490322182653518774585778107201775886232669989219843001
 r2=475002306456793448468446173700751795865776779342906923374169016985392423513854627200194137571758416857
Version: 
Total time: 278.57 hours.
Scaled time: 663.27 units (timescale=2.381).
Factorization parameters were as follows:
n: 61460218173376274139436257924925696309875419738351789195735595207504741324042282642242875514121009483559905778993186545329492535174833115309207892574829946390934849157827781851867857
m: 10000000000000000000000000000000000000000
deg: 5
c5: 1
c0: 50
skew: 2.19
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, 13600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 37116511
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2764086 x 2764334
Total sieving time: 244.16 hours.
Total relation processing time: 12.36 hours.
Matrix solve time: 20.63 hours.
Time per square root: 1.42 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: 278.57 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 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 21, 2009 11:12:23 UTC 2009 年 5 月 21 日 (木) 20 時 12 分 23 秒 (日本時間)
255e4204Jo Yeong UkMay 21, 2009 11:12:37 UTC 2009 年 5 月 21 日 (木) 20 時 12 分 37 秒 (日本時間)
3025e4403Jo Yeong UkMay 21, 2009 11:12:54 UTC 2009 年 5 月 21 日 (木) 20 時 12 分 54 秒 (日本時間)
351e6828Jo Yeong UkMay 21, 2009 11:13:02 UTC 2009 年 5 月 21 日 (木) 20 時 13 分 2 秒 (日本時間)
403e62111Jo Yeong UkJune 5, 2009 05:12:43 UTC 2009 年 6 月 5 日 (金) 14 時 12 分 43 秒 (日本時間)

2×10200+13

c143

name 名前Jo Yeong Uk
date 日付December 28, 2009 14:07:32 UTC 2009 年 12 月 28 日 (月) 23 時 7 分 32 秒 (日本時間)
composite number 合成数
30876619160219921043326204625746460056344511358054084649941495860162270978696174503606989804187929137708092592970406262440800542056012206091811<143>
prime factors 素因数
307591812620984922080953979382072937920050949126379107401516303393<66>
100381797867507403338246362144455898930630921555895525185426395604664775551427<78>
factorization results 素因数分解の結果
Number: 66667_200
N=30876619160219921043326204625746460056344511358054084649941495860162270978696174503606989804187929137708092592970406262440800542056012206091811
  ( 143 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=307591812620984922080953979382072937920050949126379107401516303393
 r2=100381797867507403338246362144455898930630921555895525185426395604664775551427
Version: 
Total time: 289.22 hours.
Scaled time: 690.09 units (timescale=2.386).
Factorization parameters were as follows:
n: 30876619160219921043326204625746460056344511358054084649941495860162270978696174503606989804187929137708092592970406262440800542056012206091811
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, 13800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 37236754
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2828591 x 2828838
Total sieving time: 251.82 hours.
Total relation processing time: 12.42 hours.
Matrix solve time: 24.22 hours.
Time per square root: 0.77 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: 289.22 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 21, 2009 11:13:13 UTC 2009 年 5 月 21 日 (木) 20 時 13 分 13 秒 (日本時間)
255e4204Jo Yeong UkMay 21, 2009 11:13:18 UTC 2009 年 5 月 21 日 (木) 20 時 13 分 18 秒 (日本時間)
3025e4403Jo Yeong UkMay 21, 2009 11:13:23 UTC 2009 年 5 月 21 日 (木) 20 時 13 分 23 秒 (日本時間)
351e6828Jo Yeong UkMay 21, 2009 11:13:28 UTC 2009 年 5 月 21 日 (木) 20 時 13 分 28 秒 (日本時間)
403e62111Jo Yeong UkJune 1, 2009 01:55:14 UTC 2009 年 6 月 1 日 (月) 10 時 55 分 14 秒 (日本時間)
4511e63974Jo Yeong UkOctober 25, 2009 15:31:30 UTC 2009 年 10 月 26 日 (月) 0 時 31 分 30 秒 (日本時間)

2×10201+13

c163

name 名前Andreas Tete
date 日付February 25, 2011 16:16:00 UTC 2011 年 2 月 26 日 (土) 1 時 16 分 0 秒 (日本時間)
composite number 合成数
2063701934299262313628994983483103510578754396129259474350881790796810344854278144740964780580906300916656015498583264157249228291359021798360347417644696058824623<163>
prime factors 素因数
54478779141283965859499296684031238089<38>
37880840335046917277699678689380670310729011822293542806294153397172832237169288702823173552641757758804049879756069979822007<125>
factorization results 素因数分解の結果
54478779141283965859499296684031238089
This factor is from the Database factordb.com

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 18, 2010 12:28:58 UTC 2010 年 9 月 18 日 (土) 21 時 28 分 58 秒 (日本時間)
403e6110 / 2126Ignacio SantosSeptember 18, 2010 12:28:58 UTC 2010 年 9 月 18 日 (土) 21 時 28 分 58 秒 (日本時間)
4511e632 / 4437Ignacio SantosSeptember 18, 2010 12:28:58 UTC 2010 年 9 月 18 日 (土) 21 時 28 分 58 秒 (日本時間)

2×10203+13

c185

name 名前Robert Backstrom
date 日付November 4, 2013 23:24:50 UTC 2013 年 11 月 5 日 (火) 8 時 24 分 50 秒 (日本時間)
composite number 合成数
10901591581365902299262946994446811816495485214692595897158129444437115845069363673436734938374578998621101576963562241375625510268675947056748960511032319106972548270665086191225359649<185>
prime factors 素因数
66609697493650096010633083491422030752477230707498101862478656971411069246187<77>
163663730531206079635442339204322531489331576983099505316608338289358542102669112023555979827125376358849827<108>
factorization results 素因数分解の結果
Number: n
N=10901591581365902299262946994446811816495485214692595897158129444437115845069363673436734938374578998621101576963562241375625510268675947056748960511032319106972548270665086191225359649
  ( 185 digits)
SNFS difficulty: 203 digits.
Divisors found:

Tue Nov  5 09:05:57 2013  prp77 factor: 66609697493650096010633083491422030752477230707498101862478656971411069246187
Tue Nov  5 09:05:57 2013  prp108 factor: 163663730531206079635442339204322531489331576983099505316608338289358542102669112023555979827125376358849827
Tue Nov  5 09:05:57 2013  elapsed time 11:58:40 (Msieve 1.44 - dependency 3)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.750).
Factorization parameters were as follows:
#
# 6(202)7 - c185
#
n: 10901591581365902299262946994446811816495485214692595897158129444437115845069363673436734938374578998621101576963562241375625510268675947056748960511032319106972548270665086191225359649
m: 10000000000000000000000000000000000000000
deg: 5
c5: 2000
c0: 1
skew: 0.22
# Murphy_E = 1.446e-11
type: snfs
lss: 1
rlim: 17100000
alim: 17100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 17100000/17100000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 12550000)
Primes: RFBsize:1097360, AFBsize:1097490,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4549703 hash collisions in 42265248 relations (38709399 unique)
Msieve: matrix is 2609293 x 2609518 (748.9 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 9hrs 51min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 1hrs 47min 48sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17100000,17100000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 18, 2010 12:29:30 UTC 2010 年 9 月 18 日 (土) 21 時 29 分 30 秒 (日本時間)
403e6110Ignacio SantosSeptember 18, 2010 12:29:30 UTC 2010 年 9 月 18 日 (土) 21 時 29 分 30 秒 (日本時間)
4511e663232Ignacio SantosSeptember 18, 2010 12:29:30 UTC 2010 年 9 月 18 日 (土) 21 時 29 分 30 秒 (日本時間)
600Dmitry DomanovMarch 24, 2011 07:54:32 UTC 2011 年 3 月 24 日 (木) 16 時 54 分 32 秒 (日本時間)
5043e61085960Dmitry DomanovOctober 1, 2011 22:09:33 UTC 2011 年 10 月 2 日 (日) 7 時 9 分 33 秒 (日本時間)
125Dmitry DomanovOctober 2, 2011 19:42:18 UTC 2011 年 10 月 3 日 (月) 4 時 42 分 18 秒 (日本時間)
5511e72635 / 17342yoyo@homeFebruary 22, 2012 03:55:08 UTC 2012 年 2 月 22 日 (水) 12 時 55 分 8 秒 (日本時間)

2×10205+13

c204

name 名前Dmitry Domanov
date 日付August 25, 2009 12:24:17 UTC 2009 年 8 月 25 日 (火) 21 時 24 分 17 秒 (日本時間)
composite number 合成数
952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952381<204>
prime factors 素因数
48640687651801423804337056354992853346324870893769<50>
19579923688551731244546269150496163178660313660002447546455753332835083003773596869975317881941326532491200104594142764296885809934157623594946146289883349<155>
factorization results 素因数分解の結果
sieving ~43 cpu-days

Mon Aug 24 23:16:31 2009  Msieve v. 1.42
Mon Aug 24 23:16:31 2009  random seeds: ddd8b5c8 ded37060
Mon Aug 24 23:16:31 2009  factoring 952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952381 (204 digits)
Mon Aug 24 23:16:33 2009  searching for 15-digit factors
Mon Aug 24 23:16:35 2009  commencing number field sieve (204-digit input)
Mon Aug 24 23:16:35 2009  R0: -100000000000000000000000000000000000000000
Mon Aug 24 23:16:35 2009  R1:  1
Mon Aug 24 23:16:35 2009  A0:  1
Mon Aug 24 23:16:35 2009  A1:  0
Mon Aug 24 23:16:35 2009  A2:  0
Mon Aug 24 23:16:35 2009  A3:  0
Mon Aug 24 23:16:35 2009  A4:  0
Mon Aug 24 23:16:35 2009  A5:  2
Mon Aug 24 23:16:35 2009  skew 0.87, size 5.998329e-014, alpha 1.449076, combined = 1.362059e-011
Mon Aug 24 23:16:35 2009  
Mon Aug 24 23:16:35 2009  commencing relation filtering
Mon Aug 24 23:16:35 2009  estimated available RAM is 4094.1 MB
Mon Aug 24 23:16:35 2009  commencing duplicate removal, pass 1
Mon Aug 24 23:22:00 2009  error -11 reading relation 30239153
Mon Aug 24 23:24:55 2009  found 4896193 hash collisions in 46646507 relations
Mon Aug 24 23:26:17 2009  added 731191 free relations
Mon Aug 24 23:26:17 2009  commencing duplicate removal, pass 2
Mon Aug 24 23:29:41 2009  found 3615445 duplicates and 43762252 unique relations
Mon Aug 24 23:29:41 2009  memory use: 197.2 MB
Mon Aug 24 23:29:41 2009  reading ideals above 26935296
Mon Aug 24 23:29:41 2009  commencing singleton removal, initial pass
Mon Aug 24 23:43:52 2009  memory use: 596.8 MB
Mon Aug 24 23:43:52 2009  reading all ideals from disk
Mon Aug 24 23:43:53 2009  memory use: 754.2 MB
Mon Aug 24 23:43:59 2009  commencing in-memory singleton removal
Mon Aug 24 23:44:05 2009  begin with 43762252 relations and 38545902 unique ideals
Mon Aug 24 23:44:57 2009  reduce to 24714676 relations and 17302634 ideals in 13 passes
Mon Aug 24 23:44:57 2009  max relations containing the same ideal: 60
Mon Aug 24 23:45:03 2009  reading ideals above 720000
Mon Aug 24 23:45:04 2009  commencing singleton removal, initial pass
Tue Aug 25 00:02:10 2009  memory use: 532.8 MB
Tue Aug 25 00:02:10 2009  reading all ideals from disk
Tue Aug 25 00:02:12 2009  memory use: 850.5 MB
Tue Aug 25 00:02:19 2009  keeping 20528578 ideals with weight <= 200, target excess is 132773
Tue Aug 25 00:02:26 2009  commencing in-memory singleton removal
Tue Aug 25 00:02:33 2009  begin with 24714716 relations and 20528578 unique ideals
Tue Aug 25 00:03:33 2009  reduce to 24711529 relations and 20525237 ideals in 8 passes
Tue Aug 25 00:03:33 2009  max relations containing the same ideal: 200
Tue Aug 25 00:04:04 2009  removing 2497614 relations and 2097614 ideals in 400000 cliques
Tue Aug 25 00:04:06 2009  commencing in-memory singleton removal
Tue Aug 25 00:04:13 2009  begin with 22213915 relations and 20525237 unique ideals
Tue Aug 25 00:05:13 2009  reduce to 22061876 relations and 18272637 ideals in 9 passes
Tue Aug 25 00:05:13 2009  max relations containing the same ideal: 192
Tue Aug 25 00:05:41 2009  removing 1868490 relations and 1468490 ideals in 400000 cliques
Tue Aug 25 00:05:43 2009  commencing in-memory singleton removal
Tue Aug 25 00:05:49 2009  begin with 20193386 relations and 18272637 unique ideals
Tue Aug 25 00:06:32 2009  reduce to 20096884 relations and 16706033 ideals in 7 passes
Tue Aug 25 00:06:32 2009  max relations containing the same ideal: 183
Tue Aug 25 00:06:58 2009  removing 1673961 relations and 1273961 ideals in 400000 cliques
Tue Aug 25 00:06:59 2009  commencing in-memory singleton removal
Tue Aug 25 00:07:05 2009  begin with 18422923 relations and 16706033 unique ideals
Tue Aug 25 00:07:49 2009  reduce to 18338178 relations and 15345854 ideals in 8 passes
Tue Aug 25 00:07:49 2009  max relations containing the same ideal: 172
Tue Aug 25 00:08:12 2009  removing 1558416 relations and 1158416 ideals in 400000 cliques
Tue Aug 25 00:08:13 2009  commencing in-memory singleton removal
Tue Aug 25 00:08:19 2009  begin with 16779762 relations and 15345854 unique ideals
Tue Aug 25 00:08:48 2009  reduce to 16693317 relations and 14099363 ideals in 6 passes
Tue Aug 25 00:08:48 2009  max relations containing the same ideal: 164
Tue Aug 25 00:09:10 2009  removing 1492815 relations and 1092815 ideals in 400000 cliques
Tue Aug 25 00:09:11 2009  commencing in-memory singleton removal
Tue Aug 25 00:09:16 2009  begin with 15200502 relations and 14099363 unique ideals
Tue Aug 25 00:09:47 2009  reduce to 15116492 relations and 12920846 ideals in 7 passes
Tue Aug 25 00:09:47 2009  max relations containing the same ideal: 153
Tue Aug 25 00:10:06 2009  removing 1440970 relations and 1040970 ideals in 400000 cliques
Tue Aug 25 00:10:07 2009  commencing in-memory singleton removal
Tue Aug 25 00:10:12 2009  begin with 13675522 relations and 12920846 unique ideals
Tue Aug 25 00:10:36 2009  reduce to 13585042 relations and 11787407 ideals in 6 passes
Tue Aug 25 00:10:36 2009  max relations containing the same ideal: 143
Tue Aug 25 00:10:53 2009  removing 1414062 relations and 1014062 ideals in 400000 cliques
Tue Aug 25 00:10:54 2009  commencing in-memory singleton removal
Tue Aug 25 00:10:58 2009  begin with 12170980 relations and 11787407 unique ideals
Tue Aug 25 00:11:23 2009  reduce to 12073653 relations and 10673537 ideals in 7 passes
Tue Aug 25 00:11:23 2009  max relations containing the same ideal: 129
Tue Aug 25 00:11:39 2009  removing 1385748 relations and 985748 ideals in 400000 cliques
Tue Aug 25 00:11:40 2009  commencing in-memory singleton removal
Tue Aug 25 00:11:43 2009  begin with 10687905 relations and 10673537 unique ideals
Tue Aug 25 00:12:02 2009  reduce to 10581657 relations and 9578472 ideals in 6 passes
Tue Aug 25 00:12:02 2009  max relations containing the same ideal: 118
Tue Aug 25 00:12:16 2009  removing 1370298 relations and 970298 ideals in 400000 cliques
Tue Aug 25 00:12:17 2009  commencing in-memory singleton removal
Tue Aug 25 00:12:19 2009  begin with 9211359 relations and 9578472 unique ideals
Tue Aug 25 00:12:38 2009  reduce to 9094789 relations and 8487968 ideals in 7 passes
Tue Aug 25 00:12:38 2009  max relations containing the same ideal: 106
Tue Aug 25 00:12:50 2009  removing 1358293 relations and 958293 ideals in 400000 cliques
Tue Aug 25 00:12:51 2009  commencing in-memory singleton removal
Tue Aug 25 00:12:54 2009  begin with 7736496 relations and 8487968 unique ideals
Tue Aug 25 00:13:09 2009  reduce to 7598810 relations and 7386845 ideals in 7 passes
Tue Aug 25 00:13:09 2009  max relations containing the same ideal: 92
Tue Aug 25 00:13:20 2009  removing 293684 relations and 235736 ideals in 57948 cliques
Tue Aug 25 00:13:20 2009  commencing in-memory singleton removal
Tue Aug 25 00:13:22 2009  begin with 7305126 relations and 7386845 unique ideals
Tue Aug 25 00:13:33 2009  reduce to 7298052 relations and 7143994 ideals in 5 passes
Tue Aug 25 00:13:33 2009  max relations containing the same ideal: 89
Tue Aug 25 00:13:37 2009  relations with 0 large ideals: 2925
Tue Aug 25 00:13:37 2009  relations with 1 large ideals: 486
Tue Aug 25 00:13:37 2009  relations with 2 large ideals: 9057
Tue Aug 25 00:13:37 2009  relations with 3 large ideals: 78455
Tue Aug 25 00:13:37 2009  relations with 4 large ideals: 369097
Tue Aug 25 00:13:37 2009  relations with 5 large ideals: 1033882
Tue Aug 25 00:13:37 2009  relations with 6 large ideals: 1870884
Tue Aug 25 00:13:37 2009  relations with 7+ large ideals: 3933266
Tue Aug 25 00:13:37 2009  commencing 2-way merge
Tue Aug 25 00:13:51 2009  reduce to 4877616 relation sets and 4723558 unique ideals
Tue Aug 25 00:13:51 2009  commencing full merge
Tue Aug 25 00:16:24 2009  memory use: 535.7 MB
Tue Aug 25 00:16:25 2009  found 2596663 cycles, need 2575758
Tue Aug 25 00:16:26 2009  weight of 2575758 cycles is about 180583247 (70.11/cycle)
Tue Aug 25 00:16:26 2009  distribution of cycle lengths:
Tue Aug 25 00:16:26 2009  1 relations: 279212
Tue Aug 25 00:16:26 2009  2 relations: 299234
Tue Aug 25 00:16:26 2009  3 relations: 313601
Tue Aug 25 00:16:26 2009  4 relations: 299542
Tue Aug 25 00:16:26 2009  5 relations: 280947
Tue Aug 25 00:16:26 2009  6 relations: 247235
Tue Aug 25 00:16:26 2009  7 relations: 208707
Tue Aug 25 00:16:26 2009  8 relations: 169480
Tue Aug 25 00:16:26 2009  9 relations: 134175
Tue Aug 25 00:16:26 2009  10+ relations: 343625
Tue Aug 25 00:16:26 2009  heaviest cycle: 20 relations
Tue Aug 25 00:16:28 2009  commencing cycle optimization
Tue Aug 25 00:16:35 2009  start with 14016520 relations
Tue Aug 25 00:17:18 2009  pruned 414403 relations
Tue Aug 25 00:17:18 2009  memory use: 357.6 MB
Tue Aug 25 00:17:18 2009  distribution of cycle lengths:
Tue Aug 25 00:17:18 2009  1 relations: 279212
Tue Aug 25 00:17:18 2009  2 relations: 305935
Tue Aug 25 00:17:18 2009  3 relations: 325203
Tue Aug 25 00:17:18 2009  4 relations: 308910
Tue Aug 25 00:17:18 2009  5 relations: 290433
Tue Aug 25 00:17:18 2009  6 relations: 253052
Tue Aug 25 00:17:18 2009  7 relations: 211890
Tue Aug 25 00:17:18 2009  8 relations: 169290
Tue Aug 25 00:17:18 2009  9 relations: 131652
Tue Aug 25 00:17:18 2009  10+ relations: 300181
Tue Aug 25 00:17:18 2009  heaviest cycle: 20 relations
Tue Aug 25 00:17:33 2009  RelProcTime: 3658
Tue Aug 25 00:17:33 2009  
Tue Aug 25 00:17:33 2009  commencing linear algebra
Tue Aug 25 00:17:35 2009  read 2575758 cycles
Tue Aug 25 00:17:42 2009  cycles contain 7222300 unique relations
Tue Aug 25 00:27:08 2009  read 7222300 relations
Tue Aug 25 00:27:26 2009  using 20 quadratic characters above 536866442
Tue Aug 25 00:28:29 2009  building initial matrix
Tue Aug 25 00:30:54 2009  memory use: 846.8 MB
Tue Aug 25 00:31:01 2009  read 2575758 cycles
Tue Aug 25 00:33:17 2009  matrix is 2575581 x 2575758 (730.1 MB) with weight 226524143 (87.94/col)
Tue Aug 25 00:33:17 2009  sparse part has weight 173363652 (67.31/col)
Tue Aug 25 00:34:04 2009  filtering completed in 2 passes
Tue Aug 25 00:34:05 2009  matrix is 2575290 x 2575467 (730.1 MB) with weight 226516174 (87.95/col)
Tue Aug 25 00:34:05 2009  sparse part has weight 173361396 (67.31/col)
Tue Aug 25 00:34:30 2009  read 2575467 cycles
Tue Aug 25 00:41:23 2009  matrix is 2575290 x 2575467 (730.1 MB) with weight 226516174 (87.95/col)
Tue Aug 25 00:41:23 2009  sparse part has weight 173361396 (67.31/col)
Tue Aug 25 00:41:24 2009  saving the first 48 matrix rows for later
Tue Aug 25 00:41:26 2009  matrix is 2575242 x 2575467 (690.6 MB) with weight 178986811 (69.50/col)
Tue Aug 25 00:41:26 2009  sparse part has weight 165592916 (64.30/col)
Tue Aug 25 00:41:26 2009  matrix includes 64 packed rows
Tue Aug 25 00:41:26 2009  using block size 65536 for processor cache size 4096 kB
Tue Aug 25 00:41:52 2009  commencing Lanczos iteration (4 threads)
Tue Aug 25 00:41:52 2009  memory use: 786.1 MB
Tue Aug 25 14:23:24 2009  lanczos halted after 40727 iterations (dim = 2575240)
Tue Aug 25 14:23:33 2009  recovered 35 nontrivial dependencies
Tue Aug 25 14:23:38 2009  BLanczosTime: 50765
Tue Aug 25 14:23:38 2009  
Tue Aug 25 14:23:38 2009  commencing square root phase
Tue Aug 25 14:23:38 2009  reading relations for dependency 1
Tue Aug 25 14:23:42 2009  read 1285922 cycles
Tue Aug 25 14:23:46 2009  cycles contain 4488674 unique relations
Tue Aug 25 14:32:25 2009  read 4488674 relations
Tue Aug 25 14:33:06 2009  multiplying 3608038 relations
Tue Aug 25 14:41:39 2009  multiply complete, coefficients have about 90.10 million bits
Tue Aug 25 14:41:41 2009  initial square root is modulo 2935241
Tue Aug 25 14:52:21 2009  sqrtTime: 1723
Tue Aug 25 14:52:21 2009  prp50 factor: 48640687651801423804337056354992853346324870893769
Tue Aug 25 14:52:21 2009  prp155 factor: 19579923688551731244546269150496163178660313660002447546455753332835083003773596869975317881941326532491200104594142764296885809934157623594946146289883349
Tue Aug 25 14:52:21 2009  elapsed time 15:35:50
software ソフトウェア
GGNFS/msieve 1.42

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
403e60--
4511e622001200Dmitry DomanovJune 20, 2009 13:06:14 UTC 2009 年 6 月 20 日 (土) 22 時 6 分 14 秒 (日本時間)
1000Dmitry DomanovJune 22, 2009 07:46:41 UTC 2009 年 6 月 22 日 (月) 16 時 46 分 41 秒 (日本時間)
5043e61730 / 70591150Dmitry DomanovJuly 1, 2009 01:41:24 UTC 2009 年 7 月 1 日 (水) 10 時 41 分 24 秒 (日本時間)
580Dmitry DomanovJuly 3, 2009 22:16:40 UTC 2009 年 7 月 4 日 (土) 7 時 16 分 40 秒 (日本時間)

2×10207+13

c200

name 名前Dmitry Domanov
date 日付June 18, 2009 12:18:15 UTC 2009 年 6 月 18 日 (木) 21 時 18 分 15 秒 (日本時間)
composite number 合成数
56160369980024598803654950574521988904901146376360235751124309546861349958824620739895464772130281612524840784649102005512084153169434347979929743938758689027142615693380778737099857714894637108677701<200>
prime factors 素因数
12351258440178597743332350167861<32>
composite cofactor 合成数の残り
4546935055405781507044615238355866287232446105157119558592794940265286537341198984719464906928858883530666741572376981390043297745552656048588332199211361207357791391441<169>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.3.0] [ECM]
Input number is 56160369980024598803654950574521988904901146376360235751124309546861349958824620739895464772130281612524840784649102005512084153169434347979929743938758689027142615693380778737099857714894637108677701 (200 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=572703295
Step 1 took 224907ms
Step 2 took 55328ms
********** Factor found in step 2: 12351258440178597743332350167861
Found probable prime factor of 32 digits: 12351258440178597743332350167861
Composite cofactor 4546935055405781507044615238355866287232446105157119558592794940265286537341198984719464906928858883530666741572376981390043297745552656048588332199211361207357791391441 has 169 digits
software ソフトウェア
GMP-ECM 6.2.3

c169

name 名前Beyond
date 日付February 25, 2012 00:22:41 UTC 2012 年 2 月 25 日 (土) 9 時 22 分 41 秒 (日本時間)
composite number 合成数
4546935055405781507044615238355866287232446105157119558592794940265286537341198984719464906928858883530666741572376981390043297745552656048588332199211361207357791391441<169>
prime factors 素因数
1721972574150669018827666212540686930479129<43>
2640538603031161950753191066328005516236196559498755426821960653468919949473914279680432494668896728453403189645407565629502329<127>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 4546935055405781507044615238355866287232446105157119558592794940265286537341198984719464906928858883530666741572376981390043297745552656048588332199211361207357791391441 (169 digits)
[Fri Feb 24 14:37:43 2012]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=4096023057
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35  40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 342781ms
Using 21 small primes for NTT
Estimated memory usage: 615M
Initializing tables of differences for F took 234ms
Computing roots of F took 12418ms
Building F from its roots took 9219ms
Computing 1/F took 3697ms
Initializing table of differences for G took 203ms
Computing roots of G took 10405ms
Building G from its roots took 8814ms
Computing roots of G took 10639ms
Building G from its roots took 8939ms
Computing G * H took 2184ms
Reducing  G * H mod F took 1903ms
Computing roots of G took 10530ms
Building G from its roots took 8892ms
Computing G * H took 2106ms
Reducing  G * H mod F took 1903ms
Computing roots of G took 10452ms
Building G from its roots took 8986ms
Computing G * H took 2106ms
Reducing  G * H mod F took 1919ms
Computing polyeval(F,G) took 18674ms
Computing product of all F(g_i) took 78ms
Step 2 took 134878ms
********** Factor found in step 2: 1721972574150669018827666212540686930479129
Found probable prime factor of 43 digits: 1721972574150669018827666212540686930479129
Probable prime cofactor 2640538603031161950753191066328005516236196559498755426821960653468919949473914279680432494668896728453403189645407565629502329 has 127 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
351e6418118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 18, 2010 12:30:06 UTC 2010 年 9 月 18 日 (土) 21 時 30 分 6 秒 (日本時間)
403e6110Ignacio SantosSeptember 18, 2010 12:30:06 UTC 2010 年 9 月 18 日 (土) 21 時 30 分 6 秒 (日本時間)
4511e663232Ignacio SantosSeptember 18, 2010 12:30:06 UTC 2010 年 9 月 18 日 (土) 21 時 30 分 6 秒 (日本時間)
600Dmitry DomanovMarch 24, 2011 12:15:05 UTC 2011 年 3 月 24 日 (木) 21 時 15 分 5 秒 (日本時間)
5043e61100 / 6019300Dmitry DomanovApril 3, 2011 21:51:55 UTC 2011 年 4 月 4 日 (月) 6 時 51 分 55 秒 (日本時間)
560Dmitry DomanovSeptember 27, 2011 20:11:14 UTC 2011 年 9 月 28 日 (水) 5 時 11 分 14 秒 (日本時間)
240Dmitry DomanovOctober 1, 2011 22:10:26 UTC 2011 年 10 月 2 日 (日) 7 時 10 分 26 秒 (日本時間)
5511e7575 / 17336yoyo@homeFebruary 24, 2012 11:40:23 UTC 2012 年 2 月 24 日 (金) 20 時 40 分 23 秒 (日本時間)

2×10208+13

c180

name 名前Jo Yeong Uk
date 日付March 12, 2020 15:43:59 UTC 2020 年 3 月 13 日 (金) 0 時 43 分 59 秒 (日本時間)
composite number 合成数
798568931755136662612112029631206891556226883464564098508638269928552259880942888643545579926548198966892252462164037911405718773417013093505703317191904821027408552915915390527459<180>
prime factors 素因数
1993786215680867981255142882942080369348672819948800893846189227<64>
400528865870621631453284966497238239017951282663542735754742728808331698781700484179537521523028785016903913402427817<117>
factorization results 素因数分解の結果
Number: 66667_208
N=798568931755136662612112029631206891556226883464564098508638269928552259880942888643545579926548198966892252462164037911405718773417013093505703317191904821027408552915915390527459
  ( 180 digits)
SNFS difficulty: 208 digits.
Divisors found:
 r1=1993786215680867981255142882942080369348672819948800893846189227
 r2=400528865870621631453284966497238239017951282663542735754742728808331698781700484179537521523028785016903913402427817
Version: 
Total time: 354.61 hours.
Scaled time: 1856.73 units (timescale=5.236).
Factorization parameters were as follows:
n: 798568931755136662612112029631206891556226883464564098508638269928552259880942888643545579926548198966892252462164037911405718773417013093505703317191904821027408552915915390527459
m: 200000000000000000000000000000000000000000
deg: 5
c5: 125
c0: 2
skew: 0.44
# Murphy_E = 8.898e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved rational special-q in [10000000, 22300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 42265376
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3880293 x 3880540
Total sieving time: 310.15 hours.
Total relation processing time: 13.99 hours.
Matrix solve time: 30.15 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,57,57,2.6,2.6,100000
total time: 354.61 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367540k/51380224k available (5540k kernel code, 1086464k absent, 926220k reserved, 6890k data, 1348k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.88 BogoMIPS (lpj=3399941)
Total of 12 processors activated (81598.58 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 19, 2010 17:31:19 UTC 2010 年 9 月 20 日 (月) 2 時 31 分 19 秒 (日本時間)
403e6110Ignacio SantosSeptember 19, 2010 17:31:19 UTC 2010 年 9 月 20 日 (月) 2 時 31 分 19 秒 (日本時間)
4511e663232Ignacio SantosSeptember 19, 2010 17:31:19 UTC 2010 年 9 月 20 日 (月) 2 時 31 分 19 秒 (日本時間)
600Dmitry DomanovMarch 27, 2011 16:11:27 UTC 2011 年 3 月 28 日 (月) 1 時 11 分 27 秒 (日本時間)
5043e61120560Dmitry DomanovSeptember 27, 2011 20:10:36 UTC 2011 年 9 月 28 日 (水) 5 時 10 分 36 秒 (日本時間)
560Dmitry DomanovOctober 1, 2011 22:11:09 UTC 2011 年 10 月 2 日 (日) 7 時 11 分 9 秒 (日本時間)
5511e72626 / 173292620yoyo@homeFebruary 24, 2012 14:30:43 UTC 2012 年 2 月 24 日 (金) 23 時 30 分 43 秒 (日本時間)
6KTakahashiApril 24, 2014 09:27:04 UTC 2014 年 4 月 24 日 (木) 18 時 27 分 4 秒 (日本時間)

2×10209+13

c207

name 名前Robert Backstrom
date 日付July 27, 2009 13:16:02 UTC 2009 年 7 月 27 日 (月) 22 時 16 分 2 秒 (日本時間)
composite number 合成数
162999185004074979625101874490627546862265688671556642216788916055419722901385493072534637326813365933170334148329258353708231458842705786471067644661776691116544417277913610431947840260798696006519967400163<207>
prime factors 素因数
2052187685408499669360164389950216452837367795140694640921654294506879070840299204220861<88>
79427035920269184206421164842740391735969944599658873023811379866142644488461289389623308760621268628589866983939306783<119>
factorization results 素因数分解の結果
Number: n
N=162999185004074979625101874490627546862265688671556642216788916055419722901385493072534637326813365933170334148329258353708231458842705786471067644661776691116544417277913610431947840260798696006519967400163
  ( 207 digits)
SNFS difficulty: 210 digits.
Divisors found:

Mon Jul 27 22:21:24 2009  prp88 factor: 2052187685408499669360164389950216452837367795140694640921654294506879070840299204220861
Mon Jul 27 22:21:24 2009  prp119 factor: 79427035920269184206421164842740391735969944599658873023811379866142644488461289389623308760621268628589866983939306783
Mon Jul 27 22:21:24 2009  elapsed time 20:52:07 (Msieve 1.39 - dependency 3)

Version: GGNFS-0.77.1-20050930-k8
Total time: 48.98 hours.
Scaled time: 98.64 units (timescale=2.014).
Factorization parameters were as follows:
name: KA_6_208_7
n: 162999185004074979625101874490627546862265688671556642216788916055419722901385493072534637326813365933170334148329258353708231458842705786471067644661776691116544417277913610431947840260798696006519967400163
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 1
c0: 5
skew: 1.38
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
rlim: 25000000
alim: 25000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
qintsize: 50000
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, 23001929)
Primes: RFBsize:1565927, AFBsize:1565758, largePrimes:40927685 encountered
Relations: rels:42499863, finalFF:3067740
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6259415 hash collisions in 46321697 relations
Msieve: matrix is 3453945 x 3454193 (931.6 MB)

Total sieving time: 47.74 hours.
Total relation processing time: 1.23 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,210,5,0,0,0,0,0,0,0,0,25000000,25000000,29,29,58,58,2.6,2.6,100000
total time: 48.98 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: 3352036k/3407296k available (3118k kernel code, 53976k reserved, 1895k data, 424k init, 2502088k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.51 BogoMIPS (lpj=2830757)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830455)
Total of 4 processors activated (22644.23 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
403e60--
4511e61200 / 4475Dmitry DomanovJune 20, 2009 13:05:37 UTC 2009 年 6 月 20 日 (土) 22 時 5 分 37 秒 (日本時間)

2×10210+13

c167

name 名前Ignacio Santos
date 日付September 18, 2010 12:17:33 UTC 2010 年 9 月 18 日 (土) 21 時 17 分 33 秒 (日本時間)
composite number 合成数
37670250217796449400535695789797634096035583104713405461030112824075976835786462951247787522492358553096822702039505353700455914946024380839222852400274465723590950353<167>
prime factors 素因数
43303718692499616164560085720137667737<38>
composite cofactor 合成数の残り
869907974538941689344750213212806338969377448075450481930380924839666150858884994039093940785091603496376859044167388873031384569<129>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1308339783
Step 1 took 21856ms
Step 2 took 12028ms
********** Factor found in step 2: 43303718692499616164560085720137667737
Found probable prime factor of 38 digits: 43303718692499616164560085720137667737
Composite cofactor 869907974538941689344750213212806338969377448075450481930380924839666150858884994039093940785091603496376859044167388873031384569 has 129 digits
software ソフトウェア
GMP-ECM 6.3

c129

name 名前Erik Branger
date 日付September 25, 2010 16:45:59 UTC 2010 年 9 月 26 日 (日) 1 時 45 分 59 秒 (日本時間)
composite number 合成数
869907974538941689344750213212806338969377448075450481930380924839666150858884994039093940785091603496376859044167388873031384569<129>
prime factors 素因数
119774593000831231567485151988610130053667003660507<51>
7262875646197391443750610944417272020867573657661460515709022507749890967175867<79>
factorization results 素因数分解の結果
Number: 66667_210
N = 869907974538941689344750213212806338969377448075450481930380924839666150858884994039093940785091603496376859044167388873031384569 (129 digits)
Divisors found:
r1=119774593000831231567485151988610130053667003660507 (pp51)
r2=7262875646197391443750610944417272020867573657661460515709022507749890967175867 (pp79)
Version: Msieve v. 1.45
Total time: 212.05 hours.
Factorization parameters were as follows:
# Murphy_E = 7.99717e-11, selected by Erik Branger
n: 869907974538941689344750213212806338969377448075450481930380924839666150858884994039093940785091603496376859044167388873031384569
Y0: -8300301178051754186987334
Y1: 133304449278851
c0: -465288473485607066098838781527
c1: 82411876877696122656039339
c2: 788230436011040927591
c3: -6641329979805031
c4: 15788653748
c5: 22080
skew: 218756.27
type: gnfs
# selected mechanically
rlim: 9200000
alim: 9200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9200000/9200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [4600000, 9900000)
Relations: 17676013
Relations in full relation-set: 2311654 relations
Pruned matrix : 1379114 x 1379339
Polynomial selection time: 0.00 hours.
Total sieving time: 204.54 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 6.53 hours.
time per square root: 0.64 hours.
Prototype def-par.txt line would be: gnfs,128,5,65,2000,1e-05,0.28,250,20,50000,3600,9200000,9200000,28,28,53,53,2.5,2.5,100000
total time: 212.05 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 19, 2010 15:29:53 UTC 2010 年 9 月 20 日 (月) 0 時 29 分 53 秒 (日本時間)
403e61110110Ignacio SantosSeptember 19, 2010 15:29:53 UTC 2010 年 9 月 20 日 (月) 0 時 29 分 53 秒 (日本時間)
1000Erik BrangerSeptember 19, 2010 21:28:56 UTC 2010 年 9 月 20 日 (月) 6 時 28 分 56 秒 (日本時間)
4511e61232 / 421632Ignacio SantosSeptember 19, 2010 15:29:53 UTC 2010 年 9 月 20 日 (月) 0 時 29 分 53 秒 (日本時間)
1200Erik BrangerSeptember 20, 2010 15:22:40 UTC 2010 年 9 月 21 日 (火) 0 時 22 分 40 秒 (日本時間)

2×10211+13

c130

name 名前Erik Branger
date 日付September 11, 2010 18:38:02 UTC 2010 年 9 月 12 日 (日) 3 時 38 分 2 秒 (日本時間)
composite number 合成数
2154468594022967785661281344308489356970424076951680923334450799713896999932622223256047240048370165620405591971911649667940844441<130>
prime factors 素因数
12563773968108751064581380159231143708481008429917738343622343<62>
171482597465678862858519430239908052890351241793105809544516695024287<69>
factorization results 素因数分解の結果
Number: 66667_211
N = 2154468594022967785661281344308489356970424076951680923334450799713896999932622223256047240048370165620405591971911649667940844441 (130 digits)
Divisors found:
r1=12563773968108751064581380159231143708481008429917738343622343 (pp62)
r2=171482597465678862858519430239908052890351241793105809544516695024287 (pp69)
Version: Msieve v. 1.44
Total time: 112.21 hours.
Factorization parameters were as follows:
# Murphy_E = 9.722417e-11, selected by Jeff Gilchrist
n: 2154468594022967785661281344308489356970424076951680923334450799713896999932622223256047240048370165620405591971911649667940844441
Y0: -8634894663823629948402191
Y1: 187692398135027
c0: -38187245688617138517825005292960
c1: 881251250434945818263552584
c2: -2641942386048394051892
c3: -19082479511722699
c4: 9981151422
c5: 44880
skew: 341595.44
type: gnfs
# selected mechanically
rlim: 9400000
alim: 9400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5

Factor base limits: 9400000/9400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [4700000, 9100000)
Relations: 17119645
Relations in full relation-set: 2373326 relations
Pruned matrix : 1373839 x 1374070
Polynomial selection time: 0.00 hours.
Total sieving time: 109.83 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 1.87 hours.
time per square root: 0.42 hours.
Prototype def-par.txt line would be: gnfs,129,5,65,2000,1e-05,0.28,250,20,50000,3600,9400000,9400000,28,28,53,53,2.5,2.5,100000
total time: 112.21 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6698118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
580Andreas TeteJune 17, 2009 13:30:01 UTC 2009 年 6 月 17 日 (水) 22 時 30 分 1 秒 (日本時間)
403e62160Wataru SakaiJune 19, 2009 00:03:57 UTC 2009 年 6 月 19 日 (金) 9 時 3 分 57 秒 (日本時間)

2×10212+13

c182

name 名前Ignacio Santos
date 日付September 18, 2010 12:25:09 UTC 2010 年 9 月 18 日 (土) 21 時 25 分 9 秒 (日本時間)
composite number 合成数
11331560879393520933168192676005578694150984848831200955467600688939670917181235830520917136828351037489292000819889673962521086859613760949038960836300231243728232640680350032156737<182>
prime factors 素因数
5815366756983890328716530429673047241<37>
composite cofactor 合成数の残り
1948554812262705155239371881462422100978506168765509070043321620178493286166814567800553673480533581584092714943944490661814519170282726099504057<145>
factorization results 素因数分解の結果
Step 1 took 8175ms
Step 2 took 5616ms
********** Factor found in step 2: 5815366756983890328716530429673047241
Found probable prime factor of 37 digits: 5815366756983890328716530429673047241
Composite cofactor 1948554812262705155239371881462422100978506168765509070043321620178493286166814567800553673480533581584092714943944490661814519170282726099504057 has 145 digits
software ソフトウェア
GMP-ECM 6.3

c145

name 名前Dmitry Domanov
date 日付December 19, 2011 09:46:54 UTC 2011 年 12 月 19 日 (月) 18 時 46 分 54 秒 (日本時間)
composite number 合成数
1948554812262705155239371881462422100978506168765509070043321620178493286166814567800553673480533581584092714943944490661814519170282726099504057<145>
prime factors 素因数
979577084515227519256494059913044905026081842611342403612757075781531<69>
1989179660350062919072669451294629801485237969367689848388757450971766649147<76>
factorization results 素因数分解の結果
Sieving with lasieve14 in 8M-22M took ~32pu-days
Posprocessing log below.

Sun Dec 18 12:43:02 2011  Msieve v. 1.48
Sun Dec 18 12:43:02 2011  random seeds: 962b93c2 7d4869f4
Sun Dec 18 12:43:02 2011  factoring 1948554812262705155239371881462422100978506168765509070043321620178493286166814567800553673480533581584092714943944490661814519170282726099504057 (145 digits)
Sun Dec 18 12:43:03 2011  searching for 15-digit factors
Sun Dec 18 12:43:04 2011  commencing number field sieve (145-digit input)
Sun Dec 18 12:43:04 2011  R0: -15263572532670664075814457176
Sun Dec 18 12:43:04 2011  R1:  8156598743218753
Sun Dec 18 12:43:04 2011  A0: -32101147695623134591294596316508689935
Sun Dec 18 12:43:04 2011  A1:  16593349811502717351129352628331
Sun Dec 18 12:43:04 2011  A2:  2998758357986963565260979
Sun Dec 18 12:43:04 2011  A3: -982344264056058433
Sun Dec 18 12:43:04 2011  A4: -57406033154
Sun Dec 18 12:43:04 2011  A5:  2352
Sun Dec 18 12:43:04 2011  skew 8363285.05, size 5.591e-14, alpha -7.433, combined = 1.160e-11 rroots = 5
Sun Dec 18 12:43:04 2011  
Sun Dec 18 12:43:04 2011  commencing relation filtering
Sun Dec 18 12:43:04 2011  estimated available RAM is 24048.2 MB
Sun Dec 18 12:43:04 2011  commencing duplicate removal, pass 1
Sun Dec 18 12:44:08 2011  error -1 reading relation 4856350
Sun Dec 18 12:45:33 2011  error -1 reading relation 9946669
Sun Dec 18 12:47:10 2011  error -15 reading relation 14890111
Sun Dec 18 12:48:32 2011  error -15 reading relation 19698556
Sun Dec 18 12:50:06 2011  error -11 reading relation 24442388
Sun Dec 18 12:51:31 2011  error -15 reading relation 29168483
Sun Dec 18 12:52:55 2011  error -9 reading relation 33788187
Sun Dec 18 12:54:32 2011  found 4338492 hash collisions in 38301453 relations
Sun Dec 18 12:55:40 2011  added 121405 free relations
Sun Dec 18 12:55:40 2011  commencing duplicate removal, pass 2
Sun Dec 18 13:00:17 2011  found 3582849 duplicates and 34840009 unique relations
Sun Dec 18 13:00:17 2011  memory use: 197.2 MB
Sun Dec 18 13:00:17 2011  reading ideals above 720000
Sun Dec 18 13:00:17 2011  commencing singleton removal, initial pass
Sun Dec 18 13:13:01 2011  memory use: 753.0 MB
Sun Dec 18 13:13:01 2011  reading all ideals from disk
Sun Dec 18 13:13:03 2011  memory use: 1183.3 MB
Sun Dec 18 13:13:09 2011  keeping 37665623 ideals with weight <= 200, target excess is 185422
Sun Dec 18 13:13:15 2011  commencing in-memory singleton removal
Sun Dec 18 13:13:20 2011  begin with 34840008 relations and 37665623 unique ideals
Sun Dec 18 13:14:08 2011  reduce to 13418204 relations and 12882425 ideals in 20 passes
Sun Dec 18 13:14:08 2011  max relations containing the same ideal: 111
Sun Dec 18 13:14:18 2011  removing 1624022 relations and 1463677 ideals in 160345 cliques
Sun Dec 18 13:14:19 2011  commencing in-memory singleton removal
Sun Dec 18 13:14:21 2011  begin with 11794182 relations and 12882425 unique ideals
Sun Dec 18 13:14:37 2011  reduce to 11645162 relations and 11267286 ideals in 10 passes
Sun Dec 18 13:14:37 2011  max relations containing the same ideal: 98
Sun Dec 18 13:14:45 2011  removing 1199065 relations and 1038720 ideals in 160345 cliques
Sun Dec 18 13:14:46 2011  commencing in-memory singleton removal
Sun Dec 18 13:14:47 2011  begin with 10446097 relations and 11267286 unique ideals
Sun Dec 18 13:15:04 2011  reduce to 10347734 relations and 10128813 ideals in 9 passes
Sun Dec 18 13:15:04 2011  max relations containing the same ideal: 90
Sun Dec 18 13:15:20 2011  relations with 0 large ideals: 547
Sun Dec 18 13:15:20 2011  relations with 1 large ideals: 1733
Sun Dec 18 13:15:20 2011  relations with 2 large ideals: 27646
Sun Dec 18 13:15:20 2011  relations with 3 large ideals: 212429
Sun Dec 18 13:15:20 2011  relations with 4 large ideals: 870529
Sun Dec 18 13:15:20 2011  relations with 5 large ideals: 2067400
Sun Dec 18 13:15:20 2011  relations with 6 large ideals: 2952184
Sun Dec 18 13:15:20 2011  relations with 7+ large ideals: 4215266
Sun Dec 18 13:15:20 2011  commencing 2-way merge
Sun Dec 18 13:15:34 2011  reduce to 5989283 relation sets and 5770364 unique ideals
Sun Dec 18 13:15:34 2011  ignored 2 oversize relation sets
Sun Dec 18 13:15:34 2011  commencing full merge
Sun Dec 18 13:18:02 2011  memory use: 664.4 MB
Sun Dec 18 13:18:04 2011  found 3106121 cycles, need 3076564
Sun Dec 18 13:18:06 2011  weight of 3076564 cycles is about 215666460 (70.10/cycle)
Sun Dec 18 13:18:06 2011  distribution of cycle lengths:
Sun Dec 18 13:18:06 2011  1 relations: 425953
Sun Dec 18 13:18:06 2011  2 relations: 396528
Sun Dec 18 13:18:06 2011  3 relations: 387232
Sun Dec 18 13:18:06 2011  4 relations: 340805
Sun Dec 18 13:18:06 2011  5 relations: 283546
Sun Dec 18 13:18:06 2011  6 relations: 246261
Sun Dec 18 13:18:06 2011  7 relations: 204888
Sun Dec 18 13:18:06 2011  8 relations: 168187
Sun Dec 18 13:18:06 2011  9 relations: 137580
Sun Dec 18 13:18:06 2011  10+ relations: 485584
Sun Dec 18 13:18:06 2011  heaviest cycle: 21 relations
Sun Dec 18 13:18:08 2011  commencing cycle optimization
Sun Dec 18 13:18:15 2011  start with 16782890 relations
Sun Dec 18 13:18:52 2011  pruned 302636 relations
Sun Dec 18 13:18:52 2011  memory use: 586.9 MB
Sun Dec 18 13:18:52 2011  distribution of cycle lengths:
Sun Dec 18 13:18:52 2011  1 relations: 425953
Sun Dec 18 13:18:52 2011  2 relations: 404578
Sun Dec 18 13:18:52 2011  3 relations: 398591
Sun Dec 18 13:18:52 2011  4 relations: 345498
Sun Dec 18 13:18:52 2011  5 relations: 287942
Sun Dec 18 13:18:52 2011  6 relations: 246449
Sun Dec 18 13:18:52 2011  7 relations: 204468
Sun Dec 18 13:18:52 2011  8 relations: 166793
Sun Dec 18 13:18:52 2011  9 relations: 135723
Sun Dec 18 13:18:52 2011  10+ relations: 460569
Sun Dec 18 13:18:52 2011  heaviest cycle: 21 relations
Sun Dec 18 13:19:00 2011  RelProcTime: 2156
Sun Dec 18 13:19:02 2011  
Sun Dec 18 13:19:02 2011  commencing linear algebra
Sun Dec 18 13:19:03 2011  read 3076564 cycles
Sun Dec 18 13:19:10 2011  cycles contain 10077629 unique relations
Sun Dec 18 13:25:02 2011  read 10077629 relations
Sun Dec 18 13:25:20 2011  using 20 quadratic characters above 536869770
Sun Dec 18 13:26:29 2011  building initial matrix
Sun Dec 18 13:29:46 2011  memory use: 1357.5 MB
Sun Dec 18 13:29:48 2011  read 3076564 cycles
Sun Dec 18 13:29:50 2011  matrix is 3076378 x 3076564 (939.6 MB) with weight 298872708 (97.14/col)
Sun Dec 18 13:29:50 2011  sparse part has weight 209390720 (68.06/col)
Sun Dec 18 13:30:51 2011  filtering completed in 2 passes
Sun Dec 18 13:30:53 2011  matrix is 3069128 x 3069311 (939.0 MB) with weight 298577272 (97.28/col)
Sun Dec 18 13:30:53 2011  sparse part has weight 209313159 (68.20/col)
Sun Dec 18 13:31:09 2011  matrix starts at (0, 0)
Sun Dec 18 13:31:11 2011  matrix is 3069128 x 3069311 (939.0 MB) with weight 298577272 (97.28/col)
Sun Dec 18 13:31:11 2011  sparse part has weight 209313159 (68.20/col)
Sun Dec 18 13:31:11 2011  saving the first 48 matrix rows for later
Sun Dec 18 13:31:13 2011  matrix includes 64 packed rows
Sun Dec 18 13:31:14 2011  matrix is 3069080 x 3069311 (913.3 MB) with weight 239652057 (78.08/col)
Sun Dec 18 13:31:14 2011  sparse part has weight 208734981 (68.01/col)
Sun Dec 18 13:31:14 2011  using block size 262144 for processor cache size 12288 kB
Sun Dec 18 13:31:29 2011  commencing Lanczos iteration (8 threads)
Sun Dec 18 13:31:29 2011  memory use: 1164.6 MB
Sun Dec 18 13:31:52 2011  linear algebra at 0.0%, ETA 12h21m
Sun Dec 18 13:32:00 2011  checkpointing every 250000 dimensions
Mon Dec 19 01:41:48 2011  lanczos halted after 48538 iterations (dim = 3069080)
Mon Dec 19 01:41:56 2011  recovered 32 nontrivial dependencies
Mon Dec 19 01:41:57 2011  BLanczosTime: 44575
Mon Dec 19 01:41:57 2011  
Mon Dec 19 01:41:57 2011  commencing square root phase
Mon Dec 19 01:41:57 2011  reading relations for dependency 1
Mon Dec 19 01:41:57 2011  read 1535401 cycles
Mon Dec 19 01:42:02 2011  cycles contain 5040058 unique relations
Mon Dec 19 01:48:08 2011  read 5040058 relations
Mon Dec 19 01:48:58 2011  multiplying 5040058 relations
Mon Dec 19 02:02:01 2011  multiply complete, coefficients have about 238.75 million bits
Mon Dec 19 02:02:03 2011  initial square root is modulo 369910319
Mon Dec 19 02:13:00 2011  reading relations for dependency 2
Mon Dec 19 02:13:00 2011  read 1535885 cycles
Mon Dec 19 02:13:03 2011  cycles contain 5043330 unique relations
Mon Dec 19 02:18:19 2011  read 5043330 relations
Mon Dec 19 02:19:15 2011  multiplying 5043330 relations
Mon Dec 19 02:33:07 2011  multiply complete, coefficients have about 238.90 million bits
Mon Dec 19 02:33:12 2011  initial square root is modulo 374541553
Mon Dec 19 02:46:22 2011  reading relations for dependency 3
Mon Dec 19 02:46:22 2011  read 1535055 cycles
Mon Dec 19 02:46:25 2011  cycles contain 5039490 unique relations
Mon Dec 19 02:51:06 2011  read 5039490 relations
Mon Dec 19 02:51:37 2011  multiplying 5039490 relations
Mon Dec 19 03:04:41 2011  multiply complete, coefficients have about 238.73 million bits
Mon Dec 19 03:04:46 2011  initial square root is modulo 369194869
Mon Dec 19 03:15:51 2011  reading relations for dependency 4
Mon Dec 19 03:15:51 2011  read 1533888 cycles
Mon Dec 19 03:15:54 2011  cycles contain 5034314 unique relations
Mon Dec 19 03:21:06 2011  read 5034314 relations
Mon Dec 19 03:21:43 2011  multiplying 5034314 relations
Mon Dec 19 03:34:49 2011  multiply complete, coefficients have about 238.48 million bits
Mon Dec 19 03:34:52 2011  initial square root is modulo 361840343
Mon Dec 19 03:52:55 2011  sqrtTime: 7858
Mon Dec 19 03:52:55 2011  prp69 factor: 979577084515227519256494059913044905026081842611342403612757075781531
Mon Dec 19 03:52:55 2011  prp76 factor: 1989179660350062919072669451294629801485237969367689848388757450971766649147
Mon Dec 19 03:52:55 2011  elapsed time 15:09:53

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 19, 2010 16:13:50 UTC 2010 年 9 月 20 日 (月) 1 時 13 分 50 秒 (日本時間)
403e62126110Ignacio SantosSeptember 19, 2010 16:13:50 UTC 2010 年 9 月 20 日 (月) 1 時 13 分 50 秒 (日本時間)
2016Wataru SakaiSeptember 23, 2010 05:01:14 UTC 2010 年 9 月 23 日 (木) 14 時 1 分 14 秒 (日本時間)
4511e6403232Ignacio SantosSeptember 19, 2010 16:13:50 UTC 2010 年 9 月 20 日 (月) 1 時 13 分 50 秒 (日本時間)
4000Wataru SakaiSeptember 24, 2010 06:48:42 UTC 2010 年 9 月 24 日 (金) 15 時 48 分 42 秒 (日本時間)

2×10213+13

c157

name 名前Serge Batalov
date 日付June 17, 2009 02:29:38 UTC 2009 年 6 月 17 日 (水) 11 時 29 分 38 秒 (日本時間)
composite number 合成数
2341469407128203012796707617923468320042842793947887170264427776377786071175361558087565190098892445544327892118819238043951149110570740162916453781692127701<157>
prime factors 素因数
118009803355233384577031249267259421<36>
composite cofactor 合成数の残り
19841312675353812400480170290920785443960159561950228060042177768467208735513015756609844426709640725339681886570157222681<122>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2629839573
Step 1 took 3869ms
Step 2 took 3416ms
********** Factor found in step 2: 118009803355233384577031249267259421
Found probable prime factor of 36 digits: 118009803355233384577031249267259421
Composite cofactor has 122 digits
software ソフトウェア
GMP-ECM 6.2.3

c122

name 名前Jo Yeong Uk
date 日付June 19, 2009 02:25:02 UTC 2009 年 6 月 19 日 (金) 11 時 25 分 2 秒 (日本時間)
composite number 合成数
19841312675353812400480170290920785443960159561950228060042177768467208735513015756609844426709640725339681886570157222681<122>
prime factors 素因数
7115150503396792667994916837952063<34>
166507482518017499178086786863171180756723<42>
16747599071352727268207577662937259514746886269<47>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 19841312675353812400480170290920785443960159561950228060042177768467208735513015756609844426709640725339681886570157222681 (122 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2561369874
Step 1 took 4197ms
Step 2 took 4383ms
********** Factor found in step 2: 7115150503396792667994916837952063
Found probable prime factor of 34 digits: 7115150503396792667994916837952063
Composite cofactor 2788600559592030339441370842570956136373448758960749300573053163294910487916335438136487 has 88 digits

06/19/09 10:49:18 v1.10 @ 조영욱-PC, starting SIQS on c88: 2788600559592030339441370842570956136373448758960749300573053163294910487916335438136487
06/19/09 10:49:18 v1.10 @ 조영욱-PC, random seeds: 3105731754, 2216531008
06/19/09 10:49:18 v1.10 @ 조영욱-PC, ==== sieve params ====
06/19/09 10:49:18 v1.10 @ 조영욱-PC, n = 88 digits, 294 bits
06/19/09 10:49:18 v1.10 @ 조영욱-PC, factor base: 61083 primes (max prime = 1621237)
06/19/09 10:49:18 v1.10 @ 조영욱-PC, single large prime cutoff: 178336070 (110 * pmax)
06/19/09 10:49:18 v1.10 @ 조영욱-PC, double large prime range from 43 to 50 bits
06/19/09 10:49:18 v1.10 @ 조영욱-PC, double large prime cutoff: 711591161729305
06/19/09 10:49:18 v1.10 @ 조영욱-PC, using 15 large prime slices of factor base
06/19/09 10:49:18 v1.10 @ 조영욱-PC, buckets hold 1024 elements
06/19/09 10:49:18 v1.10 @ 조영욱-PC, sieve interval: 9 blocks of size 65536
06/19/09 10:49:18 v1.10 @ 조영욱-PC, polynomial A has ~ 11 factors
06/19/09 10:49:18 v1.10 @ 조영욱-PC, using multiplier of 7
06/19/09 10:49:18 v1.10 @ 조영욱-PC, using small prime variation correction of 21 bits
06/19/09 10:49:18 v1.10 @ 조영욱-PC, using SSE2 for trial division and x128 sieve scanning
06/19/09 10:49:18 v1.10 @ 조영욱-PC, trial factoring cutoff at 97 bits
06/19/09 10:49:18 v1.10 @ 조영욱-PC, ==== sieving started ====
06/19/09 11:14:09 v1.10 @ 조영욱-PC, sieve time = 705.0230, relation time = 283.2280, poly_time = 502.4320
06/19/09 11:14:09 v1.10 @ 조영욱-PC, 61155 relations found: 22477 full + 38678 from 495499 partial, using 270969 polys (264 A polys)
06/19/09 11:14:09 v1.10 @ 조영욱-PC, on average, sieving found 1.91 rels/poly and 347.31 rels/sec
06/19/09 11:14:09 v1.10 @ 조영욱-PC, trial division touched 11124401 sieve locations out of 319648038912
06/19/09 11:14:09 v1.10 @ 조영욱-PC, ==== post processing stage (msieve-1.38) ====
06/19/09 11:14:09 v1.10 @ 조영욱-PC, begin with 517976 relations
06/19/09 11:14:09 v1.10 @ 조영욱-PC, reduce to 116716 relations in 7 passes
06/19/09 11:14:10 v1.10 @ 조영욱-PC, failed to read relation 31420
06/19/09 11:14:10 v1.10 @ 조영욱-PC, failed to read relation 63878
06/19/09 11:14:10 v1.10 @ 조영욱-PC, recovered 116714 relations
06/19/09 11:14:10 v1.10 @ 조영욱-PC, recovered 95103 polynomials
06/19/09 11:14:10 v1.10 @ 조영욱-PC, attempting to build 61153 cycles
06/19/09 11:14:10 v1.10 @ 조영욱-PC, found 61153 cycles in 4 passes
06/19/09 11:14:10 v1.10 @ 조영욱-PC, distribution of cycle lengths:
06/19/09 11:14:10 v1.10 @ 조영욱-PC,    length 1 : 22477
06/19/09 11:14:10 v1.10 @ 조영욱-PC,    length 2 : 18718
06/19/09 11:14:10 v1.10 @ 조영욱-PC,    length 3 : 10834
06/19/09 11:14:10 v1.10 @ 조영욱-PC,    length 4 : 5187
06/19/09 11:14:10 v1.10 @ 조영욱-PC,    length 5 : 2310
06/19/09 11:14:10 v1.10 @ 조영욱-PC,    length 6 : 994
06/19/09 11:14:10 v1.10 @ 조영욱-PC,    length 7 : 410
06/19/09 11:14:10 v1.10 @ 조영욱-PC,    length 9+: 223
06/19/09 11:14:10 v1.10 @ 조영욱-PC, largest cycle: 13 relations
06/19/09 11:14:11 v1.10 @ 조영욱-PC, matrix is 61083 x 61153 (12.3 MB) with weight 2744311 (44.88/col)
06/19/09 11:14:11 v1.10 @ 조영욱-PC, sparse part has weight 2744311 (44.88/col)
06/19/09 11:14:11 v1.10 @ 조영욱-PC, filtering completed in 4 passes
06/19/09 11:14:11 v1.10 @ 조영욱-PC, matrix is 52042 x 52106 (10.8 MB) with weight 2412409 (46.30/col)
06/19/09 11:14:11 v1.10 @ 조영욱-PC, sparse part has weight 2412409 (46.30/col)
06/19/09 11:14:11 v1.10 @ 조영욱-PC, saving the first 48 matrix rows for later
06/19/09 11:14:11 v1.10 @ 조영욱-PC, matrix is 51994 x 52106 (7.5 MB) with weight 1883866 (36.15/col)
06/19/09 11:14:11 v1.10 @ 조영욱-PC, sparse part has weight 1455034 (27.92/col)
06/19/09 11:14:11 v1.10 @ 조영욱-PC, matrix includes 64 packed rows
06/19/09 11:14:11 v1.10 @ 조영욱-PC, using block size 20842 for processor cache size 4096 kB
06/19/09 11:14:11 v1.10 @ 조영욱-PC, commencing Lanczos iteration
06/19/09 11:14:11 v1.10 @ 조영욱-PC, memory use: 6.9 MB
06/19/09 11:14:21 v1.10 @ 조영욱-PC, lanczos halted after 824 iterations (dim = 51989)
06/19/09 11:14:21 v1.10 @ 조영욱-PC, recovered 14 nontrivial dependencies
06/19/09 11:14:22 v1.10 @ 조영욱-PC, prp42 = 166507482518017499178086786863171180756723
06/19/09 11:14:22 v1.10 @ 조영욱-PC, prp47 = 16747599071352727268207577662937259514746886269
06/19/09 11:14:22 v1.10 @ 조영욱-PC, Lanczos elapsed time = 12.3240 seconds.
06/19/09 11:14:22 v1.10 @ 조영욱-PC, Sqrt elapsed time = 0.5620 seconds.
06/19/09 11:14:22 v1.10 @ 조영욱-PC, SIQS elapsed time = 1504.2710 seconds.
06/19/09 11:14:22 v1.10 @ 조영욱-PC, 
06/19/09 11:14:22 v1.10 @ 조영욱-PC, 
software ソフトウェア
GMP-ECM 6.2.3 / YAFU 1.10
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)

2×10214+13

c183

name 名前Ignacio Santos
date 日付September 18, 2010 12:19:42 UTC 2010 年 9 月 18 日 (土) 21 時 19 分 42 秒 (日本時間)
composite number 合成数
374085297613231814637700432768749778595423306547076293245677199484268926862978687324867148445811306875713324121805656826560468180743545408300088790541673154236555660998780475985113827<183>
prime factors 素因数
8145381980827870092472009713280459<34>
45926059513689130083157572335760298984578763898656882565921068808042674972801895505324651892328376076995486907991776434470822813981796872103237780553<149>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3545373907
Step 1 took 25287ms
Step 2 took 13510ms
********** Factor found in step 2: 8145381980827870092472009713280459
Found probable prime factor of 34 digits: 8145381980827870092472009713280459
Probable prime cofactor 45926059513689130083157572335760298984578763898656882565921068808042674972801895505324651892328376076995486907991776434470822813981796872103237780553 has 149 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 KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)

2×10215+13

c155

name 名前Dmitry Domanov
date 日付August 8, 2021 23:13:43 UTC 2021 年 8 月 9 日 (月) 8 時 13 分 43 秒 (日本時間)
composite number 合成数
81608538094494924014556066987855411802053579372207619698711136374929568507924590067416491277388001092939500707267570266506877631247589330166475090486905807<155>
prime factors 素因数
19314579819643987363831787417430584345126674612571865831391967<62>
4225229793065162274475079248418243297391016568393050463577118249795432212369744336043784373521<94>
factorization results 素因数分解の結果
19314579819643987363831787417430584345126674612571865831391967
software ソフトウェア
factordb.com

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 18, 2010 15:30:08 UTC 2010 年 9 月 19 日 (日) 0 時 30 分 8 秒 (日本時間)
403e6110Ignacio SantosSeptember 18, 2010 15:30:08 UTC 2010 年 9 月 19 日 (日) 0 時 30 分 8 秒 (日本時間)
4511e663232Ignacio SantosSeptember 18, 2010 15:30:08 UTC 2010 年 9 月 19 日 (日) 0 時 30 分 8 秒 (日本時間)
600Dmitry DomanovMarch 24, 2011 22:25:54 UTC 2011 年 3 月 25 日 (金) 7 時 25 分 54 秒 (日本時間)
5043e61820300Dmitry DomanovApril 3, 2011 20:23:50 UTC 2011 年 4 月 4 日 (月) 5 時 23 分 50 秒 (日本時間)
800Dmitry DomanovSeptember 27, 2011 20:06:46 UTC 2011 年 9 月 28 日 (水) 5 時 6 分 46 秒 (日本時間)
720Dmitry DomanovDecember 12, 2011 20:20:34 UTC 2011 年 12 月 13 日 (火) 5 時 20 分 34 秒 (日本時間)
5511e73175 / 170792630yoyo@homeFebruary 24, 2012 17:40:16 UTC 2012 年 2 月 25 日 (土) 2 時 40 分 16 秒 (日本時間)
99KTakahashiSeptember 4, 2014 10:15:35 UTC 2014 年 9 月 4 日 (木) 19 時 15 分 35 秒 (日本時間)
223ykikiMarch 22, 2020 12:10:25 UTC 2020 年 3 月 22 日 (日) 21 時 10 分 25 秒 (日本時間)
223ykikiMarch 22, 2020 12:10:33 UTC 2020 年 3 月 22 日 (日) 21 時 10 分 33 秒 (日本時間)

2×10217+13

c191

name 名前Steph Lady
date 日付February 25, 2012 10:04:51 UTC 2012 年 2 月 25 日 (土) 19 時 4 分 51 秒 (日本時間)
composite number 合成数
22312830527866133264439027838309587212979352562369613058050653501844853021289693841797422285320576127965852758164278814822663475675113211790905473789656156761805692770222122080748178248564449<191>
prime factors 素因数
47555202258081824246331619259541659437049761<44>
469198520211827156879522403882295104680376630661608808210992100010857550996212237136588753043176405440609563670865984012157717799493469665363660609<147>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Running on steph-ladys-macbook.local
Input number is 22312830527866133264439027838309587212979352562369613058050653501844853021289693841797422285320576127965852758164278814822663475675113211790905473789656156761805692770222122080748178248564449 (191 digits)
[Fri Feb 24 18:48:43 2012]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1854479292
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 1036115ms
Using 23 small primes for NTT
Estimated memory usage: 522M
Initializing tables of differences for F took 665ms
Computing roots of F took 30964ms
Building F from its roots took 20934ms
Computing 1/F took 10543ms
Initializing table of differences for G took 568ms
Computing roots of G took 26137ms
Building G from its roots took 28452ms
Computing roots of G took 26136ms
Building G from its roots took 28456ms
Computing G * H took 4682ms
Reducing  G * H mod F took 5807ms
Computing roots of G took 26138ms
Building G from its roots took 28446ms
Computing G * H took 4689ms
Reducing  G * H mod F took 5807ms
Computing roots of G took 26139ms
Building G from its roots took 28455ms
Computing G * H took 4694ms
Reducing  G * H mod F took 5808ms
Computing polyeval(F,G) took 48096ms
Computing product of all F(g_i) took 150ms
Step 2 took 362633ms
********** Factor found in step 2: 47555202258081824246331619259541659437049761
Found probable prime factor of 44 digits: 47555202258081824246331619259541659437049761
Probable prime cofactor 469198520211827156879522403882295104680376630661608808210992100010857550996212237136588753043176405440609563670865984012157717799493469665363660609 has 147 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
351e6418118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 18, 2010 16:14:31 UTC 2010 年 9 月 19 日 (日) 1 時 14 分 31 秒 (日本時間)
403e6110Ignacio SantosSeptember 18, 2010 16:14:31 UTC 2010 年 9 月 19 日 (日) 1 時 14 分 31 秒 (日本時間)
4511e663232Ignacio SantosSeptember 18, 2010 16:14:31 UTC 2010 年 9 月 19 日 (日) 1 時 14 分 31 秒 (日本時間)
600Dmitry DomanovMarch 27, 2011 16:13:26 UTC 2011 年 3 月 28 日 (月) 1 時 13 分 26 秒 (日本時間)
5043e61080 / 5030480Dmitry DomanovSeptember 19, 2011 22:00:38 UTC 2011 年 9 月 20 日 (火) 7 時 0 分 38 秒 (日本時間)
600Dmitry DomanovSeptember 27, 2011 20:08:21 UTC 2011 年 9 月 28 日 (水) 5 時 8 分 21 秒 (日本時間)
5511e7985 / 173435Dmitry DomanovSeptember 27, 2011 20:08:21 UTC 2011 年 9 月 28 日 (水) 5 時 8 分 21 秒 (日本時間)
980yoyo@homeFebruary 24, 2012 20:30:34 UTC 2012 年 2 月 25 日 (土) 5 時 30 分 34 秒 (日本時間)

2×10218+13

c189

composite cofactor 合成数の残り
352033138178031646102817544197543721466798818284940866794217756538609511209574851305302396991218998142692924712037326119605410073911619431088908143924254612648619792721903137758059755757819<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 18, 2010 16:41:47 UTC 2010 年 9 月 19 日 (日) 1 時 41 分 47 秒 (日本時間)
403e6110Ignacio SantosSeptember 18, 2010 16:41:47 UTC 2010 年 9 月 19 日 (日) 1 時 41 分 47 秒 (日本時間)
4511e663232Ignacio SantosSeptember 18, 2010 16:41:47 UTC 2010 年 9 月 19 日 (日) 1 時 41 分 47 秒 (日本時間)
600Dmitry DomanovMarch 26, 2011 17:57:36 UTC 2011 年 3 月 27 日 (日) 2 時 57 分 36 秒 (日本時間)
5043e61080480Dmitry DomanovSeptember 17, 2011 20:22:58 UTC 2011 年 9 月 18 日 (日) 5 時 22 分 58 秒 (日本時間)
600Dmitry DomanovSeptember 27, 2011 20:09:28 UTC 2011 年 9 月 28 日 (水) 5 時 9 分 28 秒 (日本時間)
5511e72640 / 173435Dmitry DomanovSeptember 27, 2011 20:09:28 UTC 2011 年 9 月 28 日 (水) 5 時 9 分 28 秒 (日本時間)
2635yoyo@homeFebruary 24, 2012 22:00:15 UTC 2012 年 2 月 25 日 (土) 7 時 0 分 15 秒 (日本時間)

2×10219+13

c171

name 名前Erik Branger
date 日付July 3, 2019 16:27:16 UTC 2019 年 7 月 4 日 (木) 1 時 27 分 16 秒 (日本時間)
composite number 合成数
669554745643128047163074698132153338886076911316879291948850345577639281857721620868627329448356234623917759481342102308804124734341757303148677592843753637600789656070341<171>
prime factors 素因数
541523968469610391440482624004103101291534656414837603587<57>
1236426796648249510539833088690499415227872198188907800094899357319882117814144749873829900570472810844561334920343<115>
factorization results 素因数分解の結果
Number: 66667_219
N = 669554745643128047163074698132153338886076911316879291948850345577639281857721620868627329448356234623917759481342102308804124734341757303148677592843753637600789656070341 (171 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=541523968469610391440482624004103101291534656414837603587 (pp57)
r2=1236426796648249510539833088690499415227872198188907800094899357319882117814144749873829900570472810844561334920343 (pp115)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 62.60 hours.
Factorization parameters were as follows:
n: 669554745643128047163074698132153338886076911316879291948850345577639281857721620868627329448356234623917759481342102308804124734341757303148677592843753637600789656070341
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1
c0: 5
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Relations: 6695160 relations
Pruned matrix : 6140103 x 6140328
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 30.45 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 31.25 hours.
time per square root: 0.49 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 62.60 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-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 KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 18, 2010 23:50:13 UTC 2010 年 9 月 19 日 (日) 8 時 50 分 13 秒 (日本時間)
403e6110Ignacio SantosSeptember 18, 2010 23:50:13 UTC 2010 年 9 月 19 日 (日) 8 時 50 分 13 秒 (日本時間)
4511e663232Ignacio SantosSeptember 18, 2010 23:50:13 UTC 2010 年 9 月 19 日 (日) 8 時 50 分 13 秒 (日本時間)
600Dmitry DomanovMarch 25, 2011 23:36:15 UTC 2011 年 3 月 26 日 (土) 8 時 36 分 15 秒 (日本時間)
5043e61725240Dmitry DomanovApril 1, 2011 22:05:17 UTC 2011 年 4 月 2 日 (土) 7 時 5 分 17 秒 (日本時間)
240Dmitry DomanovApril 3, 2011 20:25:16 UTC 2011 年 4 月 4 日 (月) 5 時 25 分 16 秒 (日本時間)
400Dmitry DomanovSeptember 20, 2011 20:24:01 UTC 2011 年 9 月 21 日 (水) 5 時 24 分 1 秒 (日本時間)
205Dmitry DomanovSeptember 26, 2011 20:26:46 UTC 2011 年 9 月 27 日 (火) 5 時 26 分 46 秒 (日本時間)
640Dmitry DomanovDecember 12, 2011 20:22:37 UTC 2011 年 12 月 13 日 (火) 5 時 22 分 37 秒 (日本時間)
5511e72635 / 17113yoyo@homeFebruary 25, 2012 00:04:40 UTC 2012 年 2 月 25 日 (土) 9 時 4 分 40 秒 (日本時間)

2×10220+13

c197

name 名前Ignacio Santos
date 日付September 18, 2010 16:54:05 UTC 2010 年 9 月 19 日 (日) 1 時 54 分 5 秒 (日本時間)
composite number 合成数
38865964369029066574076669864835579976160533843021579385356969851912919027592035039549639243607136772598073160553602188031746724518914672940501895244687306415007127013695751948670652705464132765627<197>
prime factors 素因数
14309997363280932335392448537747<32>
composite cofactor 合成数の残り
2716000805755428295028122948945498620449654443886956902390269709174451423524361939626194318455920356629980268161633196623716697200372778080934874357551535193643594041<166>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3345617776
Step 1 took 28486ms
Step 2 took 14805ms
********** Factor found in step 2: 14309997363280932335392448537747
Found probable prime factor of 32 digits: 14309997363280932335392448537747
Composite cofactor 2716000805755428295028122948945498620449654443886956902390269709174451423524361939626194318455920356629980268161633196623716697200372778080934874357551535193643594041 has 166 digits
software ソフトウェア
GMP-ECM 6.3

c166

name 名前Erik Branger
date 日付August 12, 2017 16:26:56 UTC 2017 年 8 月 13 日 (日) 1 時 26 分 56 秒 (日本時間)
composite number 合成数
2716000805755428295028122948945498620449654443886956902390269709174451423524361939626194318455920356629980268161633196623716697200372778080934874357551535193643594041<166>
prime factors 素因数
713414191543739262778869623221823374706797650322250368054676723521<66>
3807046226370043971464253703180226764448679990549205450927560509089858386415397093483249449066288121<100>
factorization results 素因数分解の結果
Number: 66667_220
N = 2716000805755428295028122948945498620449654443886956902390269709174451423524361939626194318455920356629980268161633196623716697200372778080934874357551535193643594041 (166 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=713414191543739262778869623221823374706797650322250368054676723521 (pp66)
r2=3807046226370043971464253703180226764448679990549205450927560509089858386415397093483249449066288121 (pp100)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 93.08 hours.
Factorization parameters were as follows:
n: 2716000805755428295028122948945498620449654443886956902390269709174451423524361939626194318455920356629980268161633196623716697200372778080934874357551535193643594041
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 2
c0: 1
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 67108864
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/67108864
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 23278489
Relations: 7479202 relations
Total pre-computation time approximately 800 CPU-days.
Pre-computation saved approximately 16 G rational relations.
Total batch smoothness checking time: 56.31 hours.
Total relation processing time: 0.31 hours.
Pruned matrix : 6434858 x 6435083
Matrix solve time: 36.10 hours.
time per square root: 0.36 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,67108864,29,26,58,52,2.8,2.8,100000
total time: 93.08 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-8-6.2.9200
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 KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 19, 2010 18:32:14 UTC 2010 年 9 月 20 日 (月) 3 時 32 分 14 秒 (日本時間)
403e6110Ignacio SantosSeptember 19, 2010 18:32:14 UTC 2010 年 9 月 20 日 (月) 3 時 32 分 14 秒 (日本時間)
4511e663232Ignacio SantosSeptember 19, 2010 18:32:14 UTC 2010 年 9 月 20 日 (月) 3 時 32 分 14 秒 (日本時間)
600Dmitry DomanovMarch 25, 2011 09:56:23 UTC 2011 年 3 月 25 日 (金) 18 時 56 分 23 秒 (日本時間)
5043e61100200Dmitry DomanovApril 1, 2011 21:10:55 UTC 2011 年 4 月 2 日 (土) 6 時 10 分 55 秒 (日本時間)
600Dmitry DomanovSeptember 19, 2011 22:01:24 UTC 2011 年 9 月 20 日 (火) 7 時 1 分 24 秒 (日本時間)
300Dmitry DomanovSeptember 26, 2011 20:26:04 UTC 2011 年 9 月 27 日 (火) 5 時 26 分 4 秒 (日本時間)
5511e73270 / 17336640Dmitry DomanovDecember 12, 2011 20:19:48 UTC 2011 年 12 月 13 日 (火) 5 時 19 分 48 秒 (日本時間)
2630yoyo@homeFebruary 25, 2012 02:30:38 UTC 2012 年 2 月 25 日 (土) 11 時 30 分 38 秒 (日本時間)

2×10221+13

c202

name 名前Ignacio Santos
date 日付September 18, 2010 23:47:24 UTC 2010 年 9 月 19 日 (日) 8 時 47 分 24 秒 (日本時間)
composite number 合成数
1487329039037370398697658478793701869748695570200822278042134634960715867860460181962529735185207382053061562895225378729513399176488907438584885340128928296776154905516044335742138364093349435720931887<202>
prime factors 素因数
8091086109199389214988260929403<31>
composite cofactor 合成数の残り
183823162794709300821675645107768562519259324647509365883549810602594681185506568191858326105709988097327448784121831764524260027857411890375325286253424234495593788606429<171>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=408934013
Step 1 took 9657ms
Step 2 took 6505ms
********** Factor found in step 2: 8091086109199389214988260929403
Found probable prime factor of 31 digits: 8091086109199389214988260929403
Composite cofactor 183823162794709300821675645107768562519259324647509365883549810602594681185506568191858326105709988097327448784121831764524260027857411890375325286253424234495593788606429 has 171 digits
software ソフトウェア
GMP-ECM 6.3

c171

name 名前Erik Branger
date 日付May 22, 2018 05:20:30 UTC 2018 年 5 月 22 日 (火) 14 時 20 分 30 秒 (日本時間)
composite number 合成数
183823162794709300821675645107768562519259324647509365883549810602594681185506568191858326105709988097327448784121831764524260027857411890375325286253424234495593788606429<171>
prime factors 素因数
5189540548515257290821739310903507462569909184990917359173760197985787<70>
35421856920898641909741974756331088090401754949583009019104005596957867625736268986457999833200540167<101>
factorization results 素因数分解の結果
Number: 66667_221
N = 183823162794709300821675645107768562519259324647509365883549810602594681185506568191858326105709988097327448784121831764524260027857411890375325286253424234495593788606429 (171 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=5189540548515257290821739310903507462569909184990917359173760197985787 (pp70)
r2=35421856920898641909741974756331088090401754949583009019104005596957867625736268986457999833200540167 (pp101)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 89.49 hours.
Factorization parameters were as follows:
n: 183823162794709300821675645107768562519259324647509365883549810602594681185506568191858326105709988097327448784121831764524260027857411890375325286253424234495593788606429
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: 50669671
Relations: 8372284 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 47.51 hours.
Total relation processing time: 0.40 hours.
Pruned matrix : 7232074 x 7232299
Matrix solve time: 41.23 hours.
time per square root: 0.35 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: 89.49 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 KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 19, 2010 19:42:08 UTC 2010 年 9 月 20 日 (月) 4 時 42 分 8 秒 (日本時間)
403e6110Ignacio SantosSeptember 19, 2010 19:42:08 UTC 2010 年 9 月 20 日 (月) 4 時 42 分 8 秒 (日本時間)
4511e663232Ignacio SantosSeptember 19, 2010 19:42:08 UTC 2010 年 9 月 20 日 (月) 4 時 42 分 8 秒 (日本時間)
600Dmitry DomanovMarch 26, 2011 05:55:26 UTC 2011 年 3 月 26 日 (土) 14 時 55 分 26 秒 (日本時間)
5043e61725200Dmitry DomanovApril 1, 2011 22:06:22 UTC 2011 年 4 月 2 日 (土) 7 時 6 分 22 秒 (日本時間)
400Dmitry DomanovSeptember 20, 2011 20:22:53 UTC 2011 年 9 月 21 日 (水) 5 時 22 分 53 秒 (日本時間)
485Dmitry DomanovSeptember 26, 2011 20:25:11 UTC 2011 年 9 月 27 日 (火) 5 時 25 分 11 秒 (日本時間)
640Dmitry DomanovDecember 12, 2011 20:22:03 UTC 2011 年 12 月 13 日 (火) 5 時 22 分 3 秒 (日本時間)
5511e72635 / 17113yoyo@homeFebruary 25, 2012 04:05:26 UTC 2012 年 2 月 25 日 (土) 13 時 5 分 26 秒 (日本時間)

2×10222+13

c198

name 名前Dmitry Domanov
date 日付March 26, 2011 16:11:12 UTC 2011 年 3 月 27 日 (日) 1 時 11 分 12 秒 (日本時間)
composite number 合成数
742331817898811852731010775482638407051525623690160345828161312222192520619249495341945368692893116259743213736058500140335046638531372985992998997482387429989210993034458163316667472707086499045401<198>
prime factors 素因数
3684487773038834040602049615673375902451643<43>
composite cofactor 合成数の残り
201474903331423748533835681222821433636138637144422360874827367073874700724980369938070839717655236024182994812307780766427567929462556470130063260349237307<156>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1400745588
Step 1 took 111477ms
********** Factor found in step 1: 3684487773038834040602049615673375902451643
Found probable prime factor of 43 digits: 3684487773038834040602049615673375902451643
Composite cofactor 201474903331423748533835681222821433636138637144422360874827367073874700724980369938070839717655236024182994812307780766427567929462556470130063260349237307 has 156 digits

c156

name 名前Erik Branger
date 日付August 9, 2019 23:26:05 UTC 2019 年 8 月 10 日 (土) 8 時 26 分 5 秒 (日本時間)
composite number 合成数
201474903331423748533835681222821433636138637144422360874827367073874700724980369938070839717655236024182994812307780766427567929462556470130063260349237307<156>
prime factors 素因数
18728299835482947986699949743118390623958540904497819341761<59>
10757778607842771170254185900500575035812091491499965008810171794682582635510105861272615279848187<98>
factorization results 素因数分解の結果
Number: 66667_222
N = 201474903331423748533835681222821433636138637144422360874827367073874700724980369938070839717655236024182994812307780766427567929462556470130063260349237307 (156 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=18728299835482947986699949743118390623958540904497819341761 (pp59)
r2=10757778607842771170254185900500575035812091491499965008810171794682582635510105861272615279848187 (pp98)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 39.97 hours.
Factorization parameters were as follows:
n: 201474903331423748533835681222821433636138637144422360874827367073874700724980369938070839717655236024182994812307780766427567929462556470130063260349237307
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 200
c0: 1
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 22369622
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/22369622
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 34910094
Relations: 7705984 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 19.59 hours.
Total relation processing time: 0.27 hours.
Pruned matrix : 6849484 x 6849709
Matrix solve time: 19.98 hours.
time per square root: 0.13 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,22369622,29,28,58,56,2.8,2.8,100000
total time: 39.97 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 12, speed: 3.19GHz
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 KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 18, 2010 23:50:36 UTC 2010 年 9 月 19 日 (日) 8 時 50 分 36 秒 (日本時間)
403e6110Ignacio SantosSeptember 18, 2010 23:50:36 UTC 2010 年 9 月 19 日 (日) 8 時 50 分 36 秒 (日本時間)
4511e663232Ignacio SantosSeptember 18, 2010 23:50:36 UTC 2010 年 9 月 19 日 (日) 8 時 50 分 36 秒 (日本時間)
600Dmitry DomanovMarch 26, 2011 14:54:18 UTC 2011 年 3 月 26 日 (土) 23 時 54 分 18 秒 (日本時間)
5043e62085300Dmitry DomanovApril 1, 2011 20:40:47 UTC 2011 年 4 月 2 日 (土) 5 時 40 分 47 秒 (日本時間)
600Dmitry DomanovSeptember 18, 2011 20:43:30 UTC 2011 年 9 月 19 日 (月) 5 時 43 分 30 秒 (日本時間)
185Dmitry DomanovSeptember 26, 2011 20:24:19 UTC 2011 年 9 月 27 日 (火) 5 時 24 分 19 秒 (日本時間)
1000Dmitry DomanovDecember 12, 2011 20:18:31 UTC 2011 年 12 月 13 日 (火) 5 時 18 分 31 秒 (日本時間)
5511e72635 / 16985yoyo@homeFebruary 25, 2012 06:50:45 UTC 2012 年 2 月 25 日 (土) 15 時 50 分 45 秒 (日本時間)

2×10224+13

c191

name 名前Ignacio Santos
date 日付September 18, 2010 23:49:22 UTC 2010 年 9 月 19 日 (日) 8 時 49 分 22 秒 (日本時間)
composite number 合成数
27222598030809118587666890186883721162145462010458185082361392974608240431860396880318018171986946308526004229030177625567556232159438257009507019136896641073830564850354276738286299725670123<191>
prime factors 素因数
8324325510162281685300359581834873411<37>
composite cofactor 合成数の残り
3270246700177203599263646990282706070332687969468042252253107911429954636632322778251880395675906956178635517514597271500699154979105900169990621632743993<154>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1987017823
Step 1 took 8112ms
Step 2 took 5787ms
********** Factor found in step 2: 8324325510162281685300359581834873411
Found probable prime factor of 37 digits: 8324325510162281685300359581834873411
Composite cofactor 3270246700177203599263646990282706070332687969468042252253107911429954636632322778251880395675906956178635517514597271500699154979105900169990621632743993 has 154 digits
software ソフトウェア
GMP-ECM 6.3

c154

name 名前Wataru Sakai
date 日付September 25, 2010 03:19:44 UTC 2010 年 9 月 25 日 (土) 12 時 19 分 44 秒 (日本時間)
composite number 合成数
3270246700177203599263646990282706070332687969468042252253107911429954636632322778251880395675906956178635517514597271500699154979105900169990621632743993<154>
prime factors 素因数
102956591844314791961774033610535127237425457<45>
31763354260233167151258451319887166145687969922514354260002409848365739687228348473376013399370470935340883849<110>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2087990765
Step 1 took 49078ms
********** Factor found in step 1: 102956591844314791961774033610535127237425457
Found probable prime factor of 45 digits: 102956591844314791961774033610535127237425457
Probable prime cofactor 31763354260233167151258451319887166145687969922514354260002409848365739687228348473376013399370470935340883849 has 110 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 KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 19, 2010 20:46:33 UTC 2010 年 9 月 20 日 (月) 5 時 46 分 33 秒 (日本時間)
403e62126110Ignacio SantosSeptember 19, 2010 20:46:33 UTC 2010 年 9 月 20 日 (月) 5 時 46 分 33 秒 (日本時間)
2016Wataru SakaiSeptember 23, 2010 05:01:33 UTC 2010 年 9 月 23 日 (木) 14 時 1 分 33 秒 (日本時間)
4511e632 / 3991Ignacio SantosSeptember 19, 2010 20:46:33 UTC 2010 年 9 月 20 日 (月) 5 時 46 分 33 秒 (日本時間)

2×10225+13

c196

composite cofactor 合成数の残り
6882372282261233795592352800960513391057736420002061578561654799570980046981173749137919783229685247938961403614729045891221518327403492177633527934831093307497414750712302603859291897974467041149<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 18, 2010 23:51:32 UTC 2010 年 9 月 19 日 (日) 8 時 51 分 32 秒 (日本時間)
403e6110Ignacio SantosSeptember 18, 2010 23:51:32 UTC 2010 年 9 月 19 日 (日) 8 時 51 分 32 秒 (日本時間)
4511e663232Ignacio SantosSeptember 18, 2010 23:51:32 UTC 2010 年 9 月 19 日 (日) 8 時 51 分 32 秒 (日本時間)
600Dmitry DomanovMarch 26, 2011 10:41:33 UTC 2011 年 3 月 26 日 (土) 19 時 41 分 33 秒 (日本時間)
5043e61085480Dmitry DomanovSeptember 13, 2011 21:06:59 UTC 2011 年 9 月 14 日 (水) 6 時 6 分 59 秒 (日本時間)
480Dmitry DomanovSeptember 17, 2011 20:22:23 UTC 2011 年 9 月 18 日 (日) 5 時 22 分 23 秒 (日本時間)
125Dmitry DomanovSeptember 26, 2011 20:23:41 UTC 2011 年 9 月 27 日 (火) 5 時 23 分 41 秒 (日本時間)
5511e72639 / 173422635yoyo@homeFebruary 25, 2012 07:50:48 UTC 2012 年 2 月 25 日 (土) 16 時 50 分 48 秒 (日本時間)
4KTakahashiApril 24, 2014 09:10:25 UTC 2014 年 4 月 24 日 (木) 18 時 10 分 25 秒 (日本時間)

2×10226+13

c225

name 名前RSALS + Carlos Pinho
date 日付February 25, 2011 15:27:09 UTC 2011 年 2 月 26 日 (土) 0 時 27 分 9 秒 (日本時間)
composite number 合成数
350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877193<225>
prime factors 素因数
424551305040613947198340350325318413229901278585162660030129454397571824413867312146294895953363<96>
826465939019761336836078810824580505070452628239497825327876745987119468479747055852803624549602844778223103427772547774207215411<129>
factorization results 素因数分解の結果
<sieving on the RSALS grid>

Wed Feb 23 20:30:08 2011  
Wed Feb 23 20:30:08 2011  
Wed Feb 23 20:30:08 2011  Msieve v. 1.48
Wed Feb 23 20:30:08 2011  random seeds: 48167040 3954e026
Wed Feb 23 20:30:08 2011  factoring 350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877193 (225 digits)
Wed Feb 23 20:30:09 2011  searching for 15-digit factors
Wed Feb 23 20:30:10 2011  commencing number field sieve (225-digit input)
Wed Feb 23 20:30:10 2011  R0: -10000000000000000000000000000000000000
Wed Feb 23 20:30:10 2011  R1:  1
Wed Feb 23 20:30:10 2011  A0:  1
Wed Feb 23 20:30:10 2011  A1:  0
Wed Feb 23 20:30:10 2011  A2:  0
Wed Feb 23 20:30:10 2011  A3:  0
Wed Feb 23 20:30:10 2011  A4:  0
Wed Feb 23 20:30:10 2011  A5:  0
Wed Feb 23 20:30:10 2011  A6:  20000
Wed Feb 23 20:30:10 2011  skew 0.19, size 3.147e-011, alpha -0.941, combined = 1.483e-012 rroots = 0
Wed Feb 23 20:30:10 2011  
Wed Feb 23 20:30:10 2011  commencing relation filtering
Wed Feb 23 20:30:10 2011  estimated available RAM is 8183.1 MB
Wed Feb 23 20:30:10 2011  commencing duplicate removal, pass 1
Wed Feb 23 20:30:28 2011  error -9 reading relation 3916601
Wed Feb 23 20:30:28 2011  error -15 reading relation 3928368
Wed Feb 23 20:30:28 2011  error -15 reading relation 3930493
Wed Feb 23 20:30:28 2011  error -15 reading relation 3939157
Wed Feb 23 20:30:28 2011  error -15 reading relation 3951468
Wed Feb 23 20:30:28 2011  error -1 reading relation 3953516
Wed Feb 23 20:30:28 2011  error -15 reading relation 3963636
Wed Feb 23 20:30:28 2011  error -15 reading relation 3977346
Wed Feb 23 20:30:28 2011  error -15 reading relation 4009380
Wed Feb 23 20:30:28 2011  error -15 reading relation 4021149
Wed Feb 23 20:30:28 2011  error -5 reading relation 4023003
Wed Feb 23 20:30:43 2011  error -1 reading relation 7851084
Wed Feb 23 20:30:53 2011  error -9 reading relation 9663119
Wed Feb 23 20:32:49 2011  error -15 reading relation 26717881
Wed Feb 23 20:32:49 2011  error -9 reading relation 26873946
Wed Feb 23 20:33:44 2011  error -15 reading relation 32023536
Wed Feb 23 20:33:44 2011  error -15 reading relation 32024454
Wed Feb 23 20:33:44 2011  error -1 reading relation 32026178
Wed Feb 23 20:34:14 2011  error -15 reading relation 39491478
Wed Feb 23 20:36:02 2011  error -9 reading relation 58343911
Wed Feb 23 20:36:24 2011  error -9 reading relation 63440722
Wed Feb 23 20:36:26 2011  error -15 reading relation 64021400
Wed Feb 23 20:36:28 2011  error -15 reading relation 64356674
Wed Feb 23 20:36:40 2011  error -15 reading relation 67560765
Wed Feb 23 20:36:43 2011  error -15 reading relation 68238162
Wed Feb 23 20:36:43 2011  error -9 reading relation 68339776
Wed Feb 23 20:36:46 2011  error -9 reading relation 68932152
Wed Feb 23 20:36:49 2011  error -9 reading relation 69801803
Wed Feb 23 20:36:49 2011  error -9 reading relation 69904996
Wed Feb 23 20:37:28 2011  error -5 reading relation 79945101
Wed Feb 23 20:38:11 2011  error -1 reading relation 90768724
Wed Feb 23 20:38:17 2011  error -15 reading relation 92476521
Wed Feb 23 20:38:18 2011  error -9 reading relation 92606270
Wed Feb 23 20:38:18 2011  error -15 reading relation 92711813
Wed Feb 23 20:38:19 2011  error -15 reading relation 92746129
Wed Feb 23 20:38:22 2011  error -15 reading relation 93696735
Wed Feb 23 20:38:28 2011  error -15 reading relation 95133028
Wed Feb 23 20:38:28 2011  error -15 reading relation 95155584
Wed Feb 23 20:38:29 2011  error -9 reading relation 95444786
Wed Feb 23 20:38:29 2011  error -9 reading relation 95462959
Wed Feb 23 20:38:55 2011  error -15 reading relation 102045100
Wed Feb 23 20:38:56 2011  error -15 reading relation 102257068
Wed Feb 23 20:39:18 2011  error -9 reading relation 108049454
Wed Feb 23 20:39:34 2011  error -9 reading relation 112195057
Wed Feb 23 20:39:34 2011  error -1 reading relation 112196273
Wed Feb 23 20:39:53 2011  error -9 reading relation 117014059
Wed Feb 23 20:39:56 2011  error -15 reading relation 117778194
Wed Feb 23 20:39:58 2011  error -9 reading relation 118272884
Wed Feb 23 20:39:59 2011  error -9 reading relation 118520327
Wed Feb 23 20:39:59 2011  error -9 reading relation 118524366
Wed Feb 23 20:40:01 2011  skipped 145 relations with b > 2^32
Wed Feb 23 20:40:01 2011  found 21818917 hash collisions in 119232424 relations
Wed Feb 23 20:40:32 2011  added 1218137 free relations
Wed Feb 23 20:40:32 2011  commencing duplicate removal, pass 2
Wed Feb 23 20:43:48 2011  found 20554690 duplicates and 99895871 unique relations
Wed Feb 23 20:43:48 2011  memory use: 660.8 MB
Wed Feb 23 20:43:48 2011  reading ideals above 77922304
Wed Feb 23 20:43:48 2011  commencing singleton removal, initial pass
Wed Feb 23 20:52:26 2011  memory use: 1506.0 MB
Wed Feb 23 20:52:26 2011  reading all ideals from disk
Wed Feb 23 20:52:26 2011  memory use: 1657.4 MB
Wed Feb 23 20:52:30 2011  commencing in-memory singleton removal
Wed Feb 23 20:52:34 2011  begin with 99895871 relations and 81043154 unique ideals
Wed Feb 23 20:53:14 2011  reduce to 64753404 relations and 42266477 ideals in 14 passes
Wed Feb 23 20:53:14 2011  max relations containing the same ideal: 39
Wed Feb 23 20:53:18 2011  reading ideals above 720000
Wed Feb 23 20:53:18 2011  commencing singleton removal, initial pass
Wed Feb 23 21:01:05 2011  memory use: 1378.0 MB
Wed Feb 23 21:01:05 2011  reading all ideals from disk
Wed Feb 23 21:01:22 2011  memory use: 2398.8 MB
Wed Feb 23 21:01:29 2011  keeping 51029482 ideals with weight <= 200, target excess is 345203
Wed Feb 23 21:01:35 2011  commencing in-memory singleton removal
Wed Feb 23 21:01:41 2011  begin with 64753404 relations and 51029482 unique ideals
Wed Feb 23 21:02:31 2011  reduce to 64743576 relations and 51019654 ideals in 9 passes
Wed Feb 23 21:02:31 2011  max relations containing the same ideal: 200
Wed Feb 23 21:02:58 2011  removing 9401762 relations and 7401762 ideals in 2000000 cliques
Wed Feb 23 21:03:00 2011  commencing in-memory singleton removal
Wed Feb 23 21:03:05 2011  begin with 55341814 relations and 51019654 unique ideals
Wed Feb 23 21:03:49 2011  reduce to 54555550 relations and 42803561 ideals in 9 passes
Wed Feb 23 21:03:49 2011  max relations containing the same ideal: 190
Wed Feb 23 21:04:12 2011  removing 7163866 relations and 5163867 ideals in 2000000 cliques
Wed Feb 23 21:04:14 2011  commencing in-memory singleton removal
Wed Feb 23 21:04:19 2011  begin with 47391684 relations and 42803561 unique ideals
Wed Feb 23 21:04:47 2011  reduce to 46802228 relations and 37029666 ideals in 7 passes
Wed Feb 23 21:04:47 2011  max relations containing the same ideal: 170
Wed Feb 23 21:05:06 2011  removing 6511489 relations and 4511489 ideals in 2000000 cliques
Wed Feb 23 21:05:08 2011  commencing in-memory singleton removal
Wed Feb 23 21:05:12 2011  begin with 40290739 relations and 37029666 unique ideals
Wed Feb 23 21:05:35 2011  reduce to 39758839 relations and 31966323 ideals in 7 passes
Wed Feb 23 21:05:35 2011  max relations containing the same ideal: 152
Wed Feb 23 21:05:52 2011  removing 6123006 relations and 4123006 ideals in 2000000 cliques
Wed Feb 23 21:05:53 2011  commencing in-memory singleton removal
Wed Feb 23 21:05:56 2011  begin with 33635833 relations and 31966323 unique ideals
Wed Feb 23 21:06:19 2011  reduce to 33064701 relations and 27247309 ideals in 8 passes
Wed Feb 23 21:06:19 2011  max relations containing the same ideal: 133
Wed Feb 23 21:06:33 2011  removing 5814065 relations and 3814065 ideals in 2000000 cliques
Wed Feb 23 21:06:34 2011  commencing in-memory singleton removal
Wed Feb 23 21:06:36 2011  begin with 27250636 relations and 27247309 unique ideals
Wed Feb 23 21:06:54 2011  reduce to 26599449 relations and 22747594 ideals in 8 passes
Wed Feb 23 21:06:54 2011  max relations containing the same ideal: 116
Wed Feb 23 21:07:05 2011  removing 5640254 relations and 3640254 ideals in 2000000 cliques
Wed Feb 23 21:07:07 2011  commencing in-memory singleton removal
Wed Feb 23 21:07:09 2011  begin with 20959195 relations and 22747594 unique ideals
Wed Feb 23 21:07:22 2011  reduce to 20212876 relations and 18309753 ideals in 8 passes
Wed Feb 23 21:07:22 2011  max relations containing the same ideal: 95
Wed Feb 23 21:07:31 2011  removing 4349181 relations and 2846494 ideals in 1502687 cliques
Wed Feb 23 21:07:32 2011  commencing in-memory singleton removal
Wed Feb 23 21:07:33 2011  begin with 15863695 relations and 18309753 unique ideals
Wed Feb 23 21:07:41 2011  reduce to 15257054 relations and 14812967 ideals in 7 passes
Wed Feb 23 21:07:41 2011  max relations containing the same ideal: 80
Wed Feb 23 21:07:48 2011  removing 251900 relations and 208249 ideals in 43651 cliques
Wed Feb 23 21:07:48 2011  commencing in-memory singleton removal
Wed Feb 23 21:07:50 2011  begin with 15005154 relations and 14812967 unique ideals
Wed Feb 23 21:07:55 2011  reduce to 15002899 relations and 14602460 ideals in 5 passes
Wed Feb 23 21:07:55 2011  max relations containing the same ideal: 79
Wed Feb 23 21:07:58 2011  relations with 0 large ideals: 11886
Wed Feb 23 21:07:58 2011  relations with 1 large ideals: 3762
Wed Feb 23 21:07:58 2011  relations with 2 large ideals: 52823
Wed Feb 23 21:07:58 2011  relations with 3 large ideals: 352555
Wed Feb 23 21:07:58 2011  relations with 4 large ideals: 1286035
Wed Feb 23 21:07:58 2011  relations with 5 large ideals: 2822643
Wed Feb 23 21:07:58 2011  relations with 6 large ideals: 3913870
Wed Feb 23 21:07:58 2011  relations with 7+ large ideals: 6559325
Wed Feb 23 21:07:58 2011  commencing 2-way merge
Wed Feb 23 21:08:07 2011  reduce to 10580628 relation sets and 10180189 unique ideals
Wed Feb 23 21:08:07 2011  commencing full merge
Wed Feb 23 21:10:58 2011  memory use: 1298.2 MB
Wed Feb 23 21:10:59 2011  found 5373986 cycles, need 5320389
Wed Feb 23 21:11:00 2011  weight of 5320389 cycles is about 425858043 (80.04/cycle)
Wed Feb 23 21:11:00 2011  distribution of cycle lengths:
Wed Feb 23 21:11:00 2011  1 relations: 359973
Wed Feb 23 21:11:00 2011  2 relations: 521078
Wed Feb 23 21:11:00 2011  3 relations: 603553
Wed Feb 23 21:11:00 2011  4 relations: 604800
Wed Feb 23 21:11:00 2011  5 relations: 575170
Wed Feb 23 21:11:00 2011  6 relations: 518627
Wed Feb 23 21:11:00 2011  7 relations: 450454
Wed Feb 23 21:11:00 2011  8 relations: 380460
Wed Feb 23 21:11:00 2011  9 relations: 314046
Wed Feb 23 21:11:00 2011  10+ relations: 992228
Wed Feb 23 21:11:00 2011  heaviest cycle: 22 relations
Wed Feb 23 21:11:00 2011  commencing cycle optimization
Wed Feb 23 21:11:07 2011  start with 32918750 relations
Wed Feb 23 21:12:05 2011  pruned 1201520 relations
Wed Feb 23 21:12:05 2011  memory use: 969.0 MB
Wed Feb 23 21:12:05 2011  distribution of cycle lengths:
Wed Feb 23 21:12:05 2011  1 relations: 359973
Wed Feb 23 21:12:05 2011  2 relations: 533296
Wed Feb 23 21:12:05 2011  3 relations: 629694
Wed Feb 23 21:12:05 2011  4 relations: 628770
Wed Feb 23 21:12:05 2011  5 relations: 601718
Wed Feb 23 21:12:05 2011  6 relations: 537030
Wed Feb 23 21:12:05 2011  7 relations: 463883
Wed Feb 23 21:12:05 2011  8 relations: 384116
Wed Feb 23 21:12:05 2011  9 relations: 311459
Wed Feb 23 21:12:05 2011  10+ relations: 870450
Wed Feb 23 21:12:05 2011  heaviest cycle: 22 relations
Wed Feb 23 21:12:10 2011  RelProcTime: 2520
Wed Feb 23 21:12:10 2011  
Wed Feb 23 21:12:10 2011  commencing linear algebra
Wed Feb 23 21:12:11 2011  read 5320389 cycles
Wed Feb 23 21:12:19 2011  cycles contain 14814047 unique relations
Wed Feb 23 21:15:39 2011  read 14814047 relations
Wed Feb 23 21:15:59 2011  using 20 quadratic characters above 1073738844
Wed Feb 23 21:16:59 2011  building initial matrix
Wed Feb 23 21:19:52 2011  memory use: 2008.2 MB
Wed Feb 23 21:20:02 2011  read 5320389 cycles
Wed Feb 23 21:20:03 2011  matrix is 5320212 x 5320389 (1782.5 MB) with weight 524797827 (98.64/col)
Wed Feb 23 21:20:03 2011  sparse part has weight 408756347 (76.83/col)
Wed Feb 23 21:20:51 2011  filtering completed in 2 passes
Wed Feb 23 21:20:53 2011  matrix is 5319725 x 5319902 (1782.5 MB) with weight 524782119 (98.65/col)
Wed Feb 23 21:20:53 2011  sparse part has weight 408751459 (76.83/col)
Wed Feb 23 21:21:13 2011  matrix starts at (0, 0)
Wed Feb 23 21:21:15 2011  matrix is 5319725 x 5319902 (1782.5 MB) with weight 524782119 (98.65/col)
Wed Feb 23 21:21:15 2011  sparse part has weight 408751459 (76.83/col)
Wed Feb 23 21:21:15 2011  saving the first 48 matrix rows for later
Wed Feb 23 21:21:16 2011  matrix includes 64 packed rows
Wed Feb 23 21:21:17 2011  matrix is 5319677 x 5319902 (1697.9 MB) with weight 424584916 (79.81/col)
Wed Feb 23 21:21:17 2011  sparse part has weight 391899983 (73.67/col)
Wed Feb 23 21:21:17 2011  using block size 262144 for processor cache size 8192 kB
Wed Feb 23 21:21:26 2011  commencing Lanczos iteration (4 threads)
Wed Feb 23 21:21:26 2011  memory use: 2083.0 MB
Wed Feb 23 21:22:10 2011  linear algebra at 0.0%, ETA 41h47m
Wed Feb 23 21:22:25 2011  checkpointing every 130000 dimensions
Fri Feb 25 14:34:07 2011  lanczos halted after 84127 iterations (dim = 5319677)
Fri Feb 25 14:34:13 2011  recovered 39 nontrivial dependencies
Fri Feb 25 14:34:14 2011  BLanczosTime: 148924
Fri Feb 25 14:34:14 2011  
Fri Feb 25 14:34:14 2011  commencing square root phase
Fri Feb 25 14:34:14 2011  reading relations for dependency 1
Fri Feb 25 14:34:15 2011  read 2660790 cycles
Fri Feb 25 14:34:18 2011  cycles contain 7406520 unique relations
Fri Feb 25 14:37:32 2011  read 7406520 relations
Fri Feb 25 14:38:05 2011  multiplying 7406520 relations
Fri Feb 25 14:46:36 2011  multiply complete, coefficients have about 278.60 million bits
Fri Feb 25 14:46:38 2011  initial square root is modulo 99877
Fri Feb 25 14:57:47 2011  reading relations for dependency 2
Fri Feb 25 14:57:48 2011  read 2658968 cycles
Fri Feb 25 14:57:52 2011  cycles contain 7406462 unique relations
Fri Feb 25 15:00:59 2011  read 7406462 relations
Fri Feb 25 15:01:32 2011  multiplying 7406462 relations
Fri Feb 25 15:10:02 2011  multiply complete, coefficients have about 278.60 million bits
Fri Feb 25 15:10:03 2011  initial square root is modulo 99877
Fri Feb 25 15:21:11 2011  sqrtTime: 2817
Fri Feb 25 15:21:11 2011  prp96 factor: 424551305040613947198340350325318413229901278585162660030129454397571824413867312146294895953363
Fri Feb 25 15:21:11 2011  prp129 factor: 826465939019761336836078810824580505070452628239497825327876745987119468479747055852803624549602844778223103427772547774207215411
Fri Feb 25 15:21:11 2011  elapsed time 42:51:03
software ソフトウェア
ggnfs-lasieve4I14e on the RSALS grid + msieve 1.48

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
403e60--
4511e61200Dmitry DomanovJune 20, 2009 13:04:47 UTC 2009 年 6 月 20 日 (土) 22 時 4 分 47 秒 (日本時間)
5043e632941010yoyo@homeFebruary 6, 2010 13:35:23 UTC 2010 年 2 月 6 日 (土) 22 時 35 分 23 秒 (日本時間)
2284Lionel DebrouxJanuary 11, 2011 07:31:39 UTC 2011 年 1 月 11 日 (火) 16 時 31 分 39 秒 (日本時間)
5511e72658 / 165192615yoyo@homeOctober 16, 2010 23:41:37 UTC 2010 年 10 月 17 日 (日) 8 時 41 分 37 秒 (日本時間)
43Lionel DebrouxJanuary 11, 2011 07:47:02 UTC 2011 年 1 月 11 日 (火) 16 時 47 分 2 秒 (日本時間)

2×10227+13

c215

name 名前Ignacio Santos
date 日付September 19, 2010 00:47:20 UTC 2010 年 9 月 19 日 (日) 9 時 47 分 20 秒 (日本時間)
composite number 合成数
93390929475090650388140864541933162504004816039743488125064856076058485920619639551267480408311418246762222832406967487085073697351682294129939496725418996960997725595824053368243712329729467453048839338924514534923<215>
prime factors 素因数
408268546051915489785501838884115771703<39>
composite cofactor 合成数の残り
228748774252168438503725310078332734712495111416016706203282791293223528852932472027146590332899619706320836150540564203415510564852430335124761571348823197279329796996852001741<177>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=936943260
Step 1 took 126767ms
Step 2 took 54413ms
********** Factor found in step 2: 408268546051915489785501838884115771703
Found probable prime factor of 39 digits: 408268546051915489785501838884115771703
Composite cofactor 228748774252168438503725310078332734712495111416016706203282791293223528852932472027146590332899619706320836150540564203415510564852430335124761571348823197279329796996852001741 has 177 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 KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 19, 2010 00:28:01 UTC 2010 年 9 月 19 日 (日) 9 時 28 分 1 秒 (日本時間)
403e6110Ignacio SantosSeptember 19, 2010 00:28:01 UTC 2010 年 9 月 19 日 (日) 9 時 28 分 1 秒 (日本時間)
4511e6103232Ignacio SantosSeptember 19, 2010 00:28:01 UTC 2010 年 9 月 19 日 (日) 9 時 28 分 1 秒 (日本時間)
600Dmitry DomanovMarch 26, 2011 19:05:02 UTC 2011 年 3 月 27 日 (日) 4 時 5 分 2 秒 (日本時間)
400Dmitry DomanovApril 1, 2011 16:51:32 UTC 2011 年 4 月 2 日 (土) 1 時 51 分 32 秒 (日本時間)
5043e61531100Dmitry DomanovApril 1, 2011 16:51:32 UTC 2011 年 4 月 2 日 (土) 1 時 51 分 32 秒 (日本時間)
200Dmitry DomanovApril 3, 2011 21:51:24 UTC 2011 年 4 月 4 日 (月) 6 時 51 分 24 秒 (日本時間)
560Dmitry DomanovSeptember 17, 2011 20:21:52 UTC 2011 年 9 月 18 日 (日) 5 時 21 分 52 秒 (日本時間)
111Dmitry DomanovSeptember 26, 2011 06:48:33 UTC 2011 年 9 月 26 日 (月) 15 時 48 分 33 秒 (日本時間)
560Dmitry DomanovDecember 12, 2011 20:23:28 UTC 2011 年 12 月 13 日 (火) 5 時 23 分 28 秒 (日本時間)
5511e72679 / 171572645yoyo@homeFebruary 25, 2012 09:33:30 UTC 2012 年 2 月 25 日 (土) 18 時 33 分 30 秒 (日本時間)
34KTakahashiApril 24, 2014 21:20:26 UTC 2014 年 4 月 25 日 (金) 6 時 20 分 26 秒 (日本時間)

2×10228+13

c224

name 名前RSALS + Carlos Pinho
date 日付March 2, 2011 16:23:29 UTC 2011 年 3 月 3 日 (木) 1 時 23 分 29 秒 (日本時間)
composite number 合成数
20847014186393153840541188488278766273700449253155716772465263662611922407413198244681405505696446626431929286927879754422172884288647758424799608076133295808707797825656420359194054431554040672524677653043142895858740631873<224>
prime factors 素因数
1658052843275649149550468402747156448836661685522907274400714276334861080572841837988510716500313297<100>
12573190457071195157266437281109973007053129019574322099417717313024617946606820611699898938002389686859714985551423270922609<125>
factorization results 素因数分解の結果
<sieving by the RSALS grid>

<post-processing by Carlos Pinho>
Fri Feb 25 20:09:38 2011  

Fri Feb 25 20:09:38 2011  

Fri Feb 25 20:09:38 2011  Msieve v. 1.48

Fri Feb 25 20:09:38 2011  random seeds: b0bf52dc d330f82c

Fri Feb 25 20:09:38 2011  factoring 20847014186393153840541188488278766273700449253155716772465263662611922407413198244681405505696446626431929286927879754422172884288647758424799608076133295808707797825656420359194054431554040672524677653043142895858740631873 (224 digits)

Fri Feb 25 20:09:39 2011  searching for 15-digit factors

Fri Feb 25 20:09:40 2011  commencing number field sieve (224-digit input)

Fri Feb 25 20:09:40 2011  R0: -100000000000000000000000000000000000000

Fri Feb 25 20:09:40 2011  R1:  1

Fri Feb 25 20:09:40 2011  A0:  1

Fri Feb 25 20:09:40 2011  A1:  0

Fri Feb 25 20:09:40 2011  A2:  0

Fri Feb 25 20:09:40 2011  A3:  0

Fri Feb 25 20:09:40 2011  A4:  0

Fri Feb 25 20:09:40 2011  A5:  0

Fri Feb 25 20:09:40 2011  A6:  2

Fri Feb 25 20:09:40 2011  skew 0.89, size 3.372e-011, alpha 1.888, combined = 1.543e-012 rroots = 0

Fri Feb 25 20:09:40 2011  

Fri Feb 25 20:09:40 2011  commencing relation filtering

Fri Feb 25 20:09:40 2011  estimated available RAM is 8183.1 MB

Fri Feb 25 20:09:40 2011  commencing duplicate removal, pass 1

Fri Feb 25 20:10:25 2011  error -1 reading relation 12172845

Fri Feb 25 20:10:25 2011  error -9 reading relation 12233706

Fri Feb 25 20:10:26 2011  error -15 reading relation 12428064

Fri Feb 25 20:10:26 2011  error -1 reading relation 12490295

Fri Feb 25 20:10:26 2011  error -15 reading relation 12502994

Fri Feb 25 20:10:28 2011  error -9 reading relation 12945002

Fri Feb 25 20:10:28 2011  error -1 reading relation 12951723

Fri Feb 25 20:10:28 2011  error -9 reading relation 12952904

Fri Feb 25 20:10:32 2011  error -15 reading relation 14255771

Fri Feb 25 20:10:32 2011  error -15 reading relation 14256800

Fri Feb 25 20:10:32 2011  error -15 reading relation 14276629

Fri Feb 25 20:10:41 2011  error -15 reading relation 16769532

Fri Feb 25 20:10:54 2011  error -5 reading relation 20414896

Fri Feb 25 20:10:54 2011  error -15 reading relation 20433592

Fri Feb 25 20:10:54 2011  error -15 reading relation 20435583

Fri Feb 25 20:10:55 2011  error -15 reading relation 20657217

Fri Feb 25 20:10:55 2011  error -15 reading relation 20659047

Fri Feb 25 20:11:20 2011  error -9 reading relation 27942655

Fri Feb 25 20:11:20 2011  error -15 reading relation 27945941

Fri Feb 25 20:11:20 2011  error -9 reading relation 27946075

Fri Feb 25 20:11:20 2011  error -5 reading relation 28014772

Fri Feb 25 20:11:20 2011  error -15 reading relation 28017988

Fri Feb 25 20:11:20 2011  error -9 reading relation 28018191

Fri Feb 25 20:11:20 2011  error -15 reading relation 28061164

Fri Feb 25 20:11:20 2011  error -15 reading relation 28064451

Fri Feb 25 20:11:20 2011  error -9 reading relation 28064619

Fri Feb 25 20:11:21 2011  error -15 reading relation 28360476

Fri Feb 25 20:11:21 2011  error -9 reading relation 28363714

Fri Feb 25 20:11:21 2011  error -9 reading relation 28363883

Fri Feb 25 20:11:21 2011  error -15 reading relation 28375876

Fri Feb 25 20:11:23 2011  error -9 reading relation 28811334

Fri Feb 25 20:11:28 2011  error -5 reading relation 30287571

Fri Feb 25 20:11:28 2011  error -5 reading relation 30364091

Fri Feb 25 20:11:30 2011  error -9 reading relation 30741104

Fri Feb 25 20:11:32 2011  error -9 reading relation 31321578

Fri Feb 25 20:11:34 2011  error -9 reading relation 32005749

Fri Feb 25 20:11:34 2011  error -9 reading relation 32050627

Fri Feb 25 20:11:36 2011  error -9 reading relation 32669521

Fri Feb 25 20:11:37 2011  error -15 reading relation 32763900

Fri Feb 25 20:11:37 2011  error -9 reading relation 32983495

Fri Feb 25 20:11:38 2011  error -9 reading relation 33257122

Fri Feb 25 20:12:04 2011  error -9 reading relation 40668539

Fri Feb 25 20:12:10 2011  error -9 reading relation 42361675

Fri Feb 25 20:12:10 2011  error -15 reading relation 42395162

Fri Feb 25 20:12:13 2011  error -15 reading relation 43242409

Fri Feb 25 20:12:13 2011  error -15 reading relation 43301399

Fri Feb 25 20:12:13 2011  error -9 reading relation 43390507

Fri Feb 25 20:12:20 2011  error -15 reading relation 45385329

Fri Feb 25 20:12:26 2011  error -15 reading relation 47173760

Fri Feb 25 20:12:26 2011  error -9 reading relation 47174403

Fri Feb 25 20:12:26 2011  error -15 reading relation 47206059

Fri Feb 25 20:12:26 2011  error -15 reading relation 47206701

Fri Feb 25 20:12:27 2011  error -15 reading relation 47258660

Fri Feb 25 20:12:33 2011  error -9 reading relation 48970327

Fri Feb 25 20:12:33 2011  error -15 reading relation 48970429

Fri Feb 25 20:12:33 2011  error -9 reading relation 48977019

Fri Feb 25 20:12:33 2011  error -9 reading relation 49012047

Fri Feb 25 20:12:33 2011  error -9 reading relation 49012149

Fri Feb 25 20:12:33 2011  error -9 reading relation 49103936

Fri Feb 25 20:12:33 2011  error -9 reading relation 49104038

Fri Feb 25 20:12:33 2011  error -5 reading relation 49110724

Fri Feb 25 20:12:33 2011  error -15 reading relation 49220551

Fri Feb 25 20:12:33 2011  error -15 reading relation 49220685

Fri Feb 25 20:12:33 2011  error -9 reading relation 49227275

Fri Feb 25 20:12:35 2011  error -9 reading relation 49793068

Fri Feb 25 20:12:36 2011  error -9 reading relation 49989393

Fri Feb 25 20:12:36 2011  error -5 reading relation 50083718

Fri Feb 25 20:12:56 2011  error -15 reading relation 55714982

Fri Feb 25 20:12:57 2011  error -15 reading relation 56035921

Fri Feb 25 20:12:57 2011  error -5 reading relation 56036231

Fri Feb 25 20:12:58 2011  error -9 reading relation 56261325

Fri Feb 25 20:12:58 2011  error -9 reading relation 56285666

Fri Feb 25 20:13:07 2011  error -15 reading relation 58693246

Fri Feb 25 20:13:14 2011  error -1 reading relation 60794828

Fri Feb 25 20:13:17 2011  error -15 reading relation 61721193

Fri Feb 25 20:13:18 2011  error -15 reading relation 61888446

Fri Feb 25 20:13:18 2011  error -15 reading relation 61952297

Fri Feb 25 20:13:27 2011  error -9 reading relation 64665569

Fri Feb 25 20:13:32 2011  error -15 reading relation 65993511

Fri Feb 25 20:13:33 2011  error -15 reading relation 66118077

Fri Feb 25 20:13:33 2011  error -9 reading relation 66194374

Fri Feb 25 20:13:41 2011  error -15 reading relation 68464466

Fri Feb 25 20:13:42 2011  error -15 reading relation 68766125

Fri Feb 25 20:14:03 2011  error -15 reading relation 74814427

Fri Feb 25 20:14:08 2011  error -15 reading relation 76053369

Fri Feb 25 20:14:08 2011  error -15 reading relation 76172290

Fri Feb 25 20:14:08 2011  error -1 reading relation 76172788

Fri Feb 25 20:14:10 2011  error -1 reading relation 76821832

Fri Feb 25 20:14:29 2011  error -9 reading relation 81977805

Fri Feb 25 20:14:33 2011  error -9 reading relation 83301851

Fri Feb 25 20:14:34 2011  error -9 reading relation 83328219

Fri Feb 25 20:14:50 2011  error -15 reading relation 88203712

Fri Feb 25 20:14:50 2011  error -9 reading relation 88210602

Fri Feb 25 20:14:54 2011  error -9 reading relation 89093761

Fri Feb 25 20:14:54 2011  error -15 reading relation 89115286

Fri Feb 25 20:14:54 2011  error -15 reading relation 89122165

Fri Feb 25 20:14:54 2011  error -9 reading relation 89140566

Fri Feb 25 20:14:54 2011  error -15 reading relation 89147635

Fri Feb 25 20:14:54 2011  error -15 reading relation 89229247

Fri Feb 25 20:15:04 2011  error -15 reading relation 91971555

Fri Feb 25 20:15:06 2011  error -15 reading relation 92722327

Fri Feb 25 20:15:08 2011  error -9 reading relation 93170432

Fri Feb 25 20:15:10 2011  error -9 reading relation 93684164

Fri Feb 25 20:15:10 2011  error -9 reading relation 93688094

Fri Feb 25 20:15:10 2011  error -15 reading relation 93844831

Fri Feb 25 20:15:10 2011  error -15 reading relation 93848948

Fri Feb 25 20:15:32 2011  error -15 reading relation 99905292

Fri Feb 25 20:15:32 2011  error -15 reading relation 100058956

Fri Feb 25 20:15:33 2011  error -15 reading relation 100340899

Fri Feb 25 20:15:34 2011  error -9 reading relation 100592685

Fri Feb 25 20:15:35 2011  error -15 reading relation 100817717

Fri Feb 25 20:15:41 2011  error -15 reading relation 102581945

Fri Feb 25 20:16:01 2011  error -5 reading relation 108299331

Fri Feb 25 20:16:02 2011  error -9 reading relation 108464306

Fri Feb 25 20:16:02 2011  error -15 reading relation 108505555

Fri Feb 25 20:16:03 2011  error -15 reading relation 108826354

Fri Feb 25 20:16:03 2011  error -9 reading relation 108903324

Fri Feb 25 20:16:03 2011  error -9 reading relation 108978193

Fri Feb 25 20:16:05 2011  error -9 reading relation 109556724

Fri Feb 25 20:16:05 2011  error -15 reading relation 109574091

Fri Feb 25 20:16:09 2011  error -9 reading relation 110526388

Fri Feb 25 20:16:10 2011  error -9 reading relation 110962481

Fri Feb 25 20:16:19 2011  error -15 reading relation 113375474

Fri Feb 25 20:16:19 2011  error -9 reading relation 113376065

Fri Feb 25 20:16:19 2011  error -9 reading relation 113586949

Fri Feb 25 20:16:26 2011  error -15 reading relation 115422886

Fri Feb 25 20:16:26 2011  error -9 reading relation 115440663

Fri Feb 25 20:16:37 2011  error -9 reading relation 118628601

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692881

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692882

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692883

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692884

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692885

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692886

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692887

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692888

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692889

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692890

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692891

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692892

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692893

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692894

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692895

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692896

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692897

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692898

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692899

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692900

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692901

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692902

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692903

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692904

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692905

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692906

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692907

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692908

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692909

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692910

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692911

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692912

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692913

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692914

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692915

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692916

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692917

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692918

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692919

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692920

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692921

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692922

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692923

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692924

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692925

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692926

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692927

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692928

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692929

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692930

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692931

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692932

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692933

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692934

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692935

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692936

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692937

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692938

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692939

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692940

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692941

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692942

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692943

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692944

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692945

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692946

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692947

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692948

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692949

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692950

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692951

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692952

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692953

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692954

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692955

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692956

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692957

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692958

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692959

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692960

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692961

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692962

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692963

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692964

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692965

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692966

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692967

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692968

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692969

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692970

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692971

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692972

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692973

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692974

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692975

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692976

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692977

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692978

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692979

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692980

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692981

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692982

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692983

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692984

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692985

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692986

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692987

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692988

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692989

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692990

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692991

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692992

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692993

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692994

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692995

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692996

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692997

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692998

Fri Feb 25 20:16:37 2011  error -1 reading relation 118692999

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693000

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693001

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693002

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693003

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693004

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693005

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693006

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693007

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693008

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693009

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693010

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693011

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693012

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693013

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693014

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693015

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693016

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693017

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693018

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693019

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693020

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693021

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693022

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693023

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693024

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693025

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693026

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693027

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693028

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693029

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693030

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693031

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693032

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693033

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693034

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693035

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693036

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693037

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693038

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693039

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693040

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693041

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693042

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693043

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693044

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693045

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693046

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693047

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693048

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693049

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693050

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693051

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693052

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693053

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693054

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693055

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693056

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693057

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693058

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693059

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693060

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693061

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693062

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693063

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693064

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693065

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693066

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693067

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693068

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693069

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693070

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693071

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693072

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693073

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693074

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693075

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693076

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693077

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693078

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693079

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693080

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693081

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693082

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693083

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693084

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693085

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693086

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693087

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693088

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693089

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693090

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693091

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693092

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693093

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693094

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693095

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693096

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693097

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693098

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693099

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693100

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693101

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693102

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693103

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693104

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693105

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693106

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693107

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693108

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693109

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693110

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693111

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693112

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693113

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693114

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693115

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693116

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693117

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693118

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693119

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693120

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693121

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693122

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693123

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693124

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693125

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693126

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693127

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693128

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693129

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693130

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693131

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693132

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693133

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693134

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693135

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693136

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693137

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693138

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693139

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693140

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693141

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693142

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693143

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693144

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693145

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693146

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693147

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693148

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693149

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693150

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693151

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693152

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693153

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693154

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693155

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693156

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693157

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693158

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693159

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693160

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693161

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693162

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693163

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693164

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693165

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693166

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693167

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693168

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693169

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693170

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693171

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693172

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693173

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693174

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693175

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693176

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693177

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693178

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693179

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693180

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693181

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693182

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693183

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693184

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693185

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693186

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693187

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693188

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693189

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693190

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693191

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693192

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693193

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693194

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693195

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693196

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693197

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693198

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693199

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693200

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693201

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693202

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693203

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693204

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693205

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693206

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693207

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693208

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693209

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693210

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693211

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693212

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693213

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693214

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693215

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693216

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693217

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693218

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693219

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693220

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693221

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693222

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693223

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693224

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693225

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693226

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693227

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693228

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693229

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693230

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693231

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693232

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693233

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693234

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693235

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693236

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693237

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693238

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693239

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693240

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693241

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693242

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693243

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693244

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693245

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693246

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693247

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693248

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693249

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693250

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693251

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693252

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693253

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693254

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693255

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693256

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693257

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693258

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693259

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693260

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693261

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693262

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693263

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693264

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693265

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693266

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693267

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693268

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693269

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693270

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693271

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693272

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693273

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693274

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693275

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693276

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693277

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693278

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693279

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693280

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693281

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693282

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693283

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693284

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693285

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693286

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693287

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693288

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693289

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693290

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693291

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693292

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693293

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693294

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693295

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693296

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693297

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693298

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693299

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693300

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693301

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693302

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693303

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693304

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693305

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693306

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693307

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693308

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693309

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693310

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693311

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693312

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693313

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693314

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693315

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693316

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693317

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693318

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693319

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693320

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693321

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693322

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693323

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693324

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693325

Fri Feb 25 20:16:37 2011  error -1 reading relation 118693326

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762189

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762190

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762191

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762192

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762193

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762194

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762195

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762196

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762197

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762198

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762199

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762200

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762201

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762202

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762203

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762204

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762205

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762206

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762207

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762208

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762209

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762210

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762211

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762212

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762213

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762214

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762215

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762216

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762217

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762218

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762219

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762220

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762221

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762222

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762223

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762224

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762225

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762226

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762227

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762228

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762229

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762230

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762231

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762232

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762233

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762234

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762235

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762236

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762237

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762238

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762239

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762240

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762241

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762242

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762243

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762244

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762245

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762246

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762247

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762248

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762249

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762250

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762251

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762252

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762253

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762254

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762255

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762256

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762257

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762258

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762259

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762260

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762261

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762262

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762263

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762264

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762265

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762266

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762267

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762268

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762269

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762270

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762271

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762272

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762273

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762274

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762275

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762276

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762277

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762278

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762279

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762280

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762281

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762282

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762283

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762284

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762285

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762286

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762287

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762288

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762289

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762290

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762291

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762292

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762293

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762294

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762295

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762296

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762297

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762298

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762299

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762300

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762301

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762302

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762303

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762304

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762305

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762306

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762307

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762308

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762309

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762310

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762311

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762312

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762313

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762314

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762315

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762316

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762317

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762318

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762319

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762320

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762321

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762322

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762323

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762324

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762325

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762326

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762327

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762328

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762329

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762330

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762331

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762332

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762333

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762334

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762335

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762336

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762337

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762338

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762339

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762340

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762341

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762342

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762343

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762344

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762345

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762346

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762347

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762348

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762349

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762350

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762351

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762352

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762353

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762354

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762355

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762356

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762357

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762358

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762359

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762360

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762361

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762362

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762363

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762364

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762365

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762366

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762367

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762368

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762369

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762370

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762371

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762372

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762373

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762374

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762375

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762376

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762377

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762378

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762379

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762380

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762381

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762382

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762383

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762384

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762385

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762386

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762387

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762388

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762389

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762390

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762391

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762392

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762393

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762394

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762395

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762396

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762397

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762398

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762399

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762400

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762401

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762402

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762403

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762404

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762405

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762406

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762407

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762408

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762409

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762410

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762411

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762412

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762413

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762414

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762415

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762416

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762417

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762418

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762419

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762420

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762421

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762422

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762423

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762424

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762425

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762426

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762427

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762428

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762429

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762430

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762431

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762432

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762433

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762434

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762435

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762436

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762437

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762438

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762439

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762440

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762441

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762442

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762443

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762444

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762445

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762446

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762447

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762448

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762449

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762450

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762451

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762452

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762453

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762454

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762455

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762456

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762457

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762458

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762459

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762460

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762461

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762462

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762463

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762464

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762465

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762466

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762467

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762468

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762469

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762470

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762471

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762472

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762473

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762474

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762475

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762476

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762477

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762478

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762479

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762480

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762481

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762482

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762483

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762484

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762485

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762486

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762487

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762488

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762489

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762490

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762491

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762492

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762493

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762494

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762495

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762496

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762497

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762498

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762499

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762500

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762501

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762502

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762503

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762504

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762505

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762506

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762507

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762508

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762509

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762510

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762511

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762512

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762513

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762514

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762515

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762516

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762517

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762518

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762519

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762520

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762521

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762522

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762523

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762524

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762525

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762526

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762527

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762528

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762529

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762530

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762531

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762532

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762533

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762534

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762535

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762536

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762537

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762538

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762539

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762540

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762541

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762542

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762543

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762544

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762545

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762546

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762547

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762548

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762549

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762550

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762551

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762552

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762553

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762554

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762555

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762556

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762557

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762558

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762559

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762560

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762561

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762562

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762563

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762564

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762565

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762566

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762567

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762568

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762569

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762570

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762571

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762572

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762573

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762574

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762575

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762576

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762577

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762578

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762579

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762580

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762581

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762582

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762583

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762584

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762585

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762586

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762587

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762588

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762589

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762590

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762591

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762592

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762593

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762594

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762595

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762596

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762597

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762598

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762599

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762600

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762601

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762602

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762603

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762604

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762605

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762606

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762607

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762608

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762609

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762610

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762611

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762612

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762613

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762614

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762615

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762616

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762617

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762618

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762619

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762620

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762621

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762622

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762623

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762624

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762625

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762626

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762627

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762628

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762629

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762630

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762631

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762632

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762633

Fri Feb 25 20:16:38 2011  error -1 reading relation 118762634

Fri Feb 25 20:16:42 2011  skipped 21 relations with b > 2^32

Fri Feb 25 20:16:42 2011  found 22094322 hash collisions in 119968840 relations

Fri Feb 25 20:17:12 2011  added 1218600 free relations

Fri Feb 25 20:17:12 2011  commencing duplicate removal, pass 2

Fri Feb 25 20:20:13 2011  found 20844426 duplicates and 100343014 unique relations

Fri Feb 25 20:20:13 2011  memory use: 660.8 MB

Fri Feb 25 20:20:13 2011  reading ideals above 79888384

Fri Feb 25 20:20:13 2011  commencing singleton removal, initial pass

Fri Feb 25 20:28:05 2011  memory use: 1506.0 MB

Fri Feb 25 20:28:05 2011  reading all ideals from disk

Fri Feb 25 20:28:12 2011  memory use: 1666.5 MB

Fri Feb 25 20:28:16 2011  commencing in-memory singleton removal

Fri Feb 25 20:28:19 2011  begin with 100343014 relations and 81208992 unique ideals

Fri Feb 25 20:28:55 2011  reduce to 65487954 relations and 42796063 ideals in 12 passes

Fri Feb 25 20:28:55 2011  max relations containing the same ideal: 39

Fri Feb 25 20:28:59 2011  reading ideals above 720000

Fri Feb 25 20:28:59 2011  commencing singleton removal, initial pass

Fri Feb 25 20:36:21 2011  memory use: 1378.0 MB

Fri Feb 25 20:36:21 2011  reading all ideals from disk

Fri Feb 25 20:36:41 2011  memory use: 2439.6 MB

Fri Feb 25 20:36:47 2011  keeping 51770550 ideals with weight <= 200, target excess is 349012

Fri Feb 25 20:36:54 2011  commencing in-memory singleton removal

Fri Feb 25 20:37:00 2011  begin with 65487954 relations and 51770550 unique ideals

Fri Feb 25 20:37:40 2011  reduce to 65478699 relations and 51761294 ideals in 7 passes

Fri Feb 25 20:37:40 2011  max relations containing the same ideal: 200

Fri Feb 25 20:38:08 2011  removing 9389536 relations and 7389536 ideals in 2000000 cliques

Fri Feb 25 20:38:10 2011  commencing in-memory singleton removal

Fri Feb 25 20:38:15 2011  begin with 56089163 relations and 51761294 unique ideals

Fri Feb 25 20:38:54 2011  reduce to 55308623 relations and 43563539 ideals in 8 passes

Fri Feb 25 20:38:54 2011  max relations containing the same ideal: 190

Fri Feb 25 20:39:17 2011  removing 7164445 relations and 5164445 ideals in 2000000 cliques

Fri Feb 25 20:39:19 2011  commencing in-memory singleton removal

Fri Feb 25 20:39:24 2011  begin with 48144178 relations and 43563539 unique ideals

Fri Feb 25 20:39:53 2011  reduce to 47559023 relations and 37794012 ideals in 7 passes

Fri Feb 25 20:39:53 2011  max relations containing the same ideal: 172

Fri Feb 25 20:40:13 2011  removing 6533568 relations and 4533568 ideals in 2000000 cliques

Fri Feb 25 20:40:15 2011  commencing in-memory singleton removal

Fri Feb 25 20:40:18 2011  begin with 41025455 relations and 37794012 unique ideals

Fri Feb 25 20:40:43 2011  reduce to 40503336 relations and 32719455 ideals in 7 passes

Fri Feb 25 20:40:43 2011  max relations containing the same ideal: 154

Fri Feb 25 20:41:00 2011  removing 6127888 relations and 4127888 ideals in 2000000 cliques

Fri Feb 25 20:41:02 2011  commencing in-memory singleton removal

Fri Feb 25 20:41:04 2011  begin with 34375448 relations and 32719455 unique ideals

Fri Feb 25 20:41:25 2011  reduce to 33800791 relations and 27992201 ideals in 7 passes

Fri Feb 25 20:41:25 2011  max relations containing the same ideal: 136

Fri Feb 25 20:41:39 2011  removing 5834881 relations and 3834881 ideals in 2000000 cliques

Fri Feb 25 20:41:41 2011  commencing in-memory singleton removal

Fri Feb 25 20:41:43 2011  begin with 27965910 relations and 27992201 unique ideals

Fri Feb 25 20:41:59 2011  reduce to 27320208 relations and 23477954 ideals in 7 passes

Fri Feb 25 20:41:59 2011  max relations containing the same ideal: 116

Fri Feb 25 20:42:11 2011  removing 5674004 relations and 3674004 ideals in 2000000 cliques

Fri Feb 25 20:42:12 2011  commencing in-memory singleton removal

Fri Feb 25 20:42:14 2011  begin with 21646204 relations and 23477954 unique ideals

Fri Feb 25 20:42:28 2011  reduce to 20909120 relations and 19018269 ideals in 8 passes

Fri Feb 25 20:42:28 2011  max relations containing the same ideal: 95

Fri Feb 25 20:42:37 2011  removing 4352445 relations and 2866448 ideals in 1485997 cliques

Fri Feb 25 20:42:39 2011  commencing in-memory singleton removal

Fri Feb 25 20:42:40 2011  begin with 16556675 relations and 19018269 unique ideals

Fri Feb 25 20:42:50 2011  reduce to 15970352 relations and 15525474 ideals in 8 passes

Fri Feb 25 20:42:50 2011  max relations containing the same ideal: 83

Fri Feb 25 20:42:57 2011  removing 235111 relations and 195087 ideals in 40024 cliques

Fri Feb 25 20:42:58 2011  commencing in-memory singleton removal

Fri Feb 25 20:42:59 2011  begin with 15735241 relations and 15525474 unique ideals

Fri Feb 25 20:43:05 2011  reduce to 15733464 relations and 15328606 ideals in 5 passes

Fri Feb 25 20:43:05 2011  max relations containing the same ideal: 83

Fri Feb 25 20:43:08 2011  relations with 0 large ideals: 11913

Fri Feb 25 20:43:08 2011  relations with 1 large ideals: 3649

Fri Feb 25 20:43:08 2011  relations with 2 large ideals: 49559

Fri Feb 25 20:43:08 2011  relations with 3 large ideals: 340931

Fri Feb 25 20:43:08 2011  relations with 4 large ideals: 1269521

Fri Feb 25 20:43:08 2011  relations with 5 large ideals: 2861535

Fri Feb 25 20:43:08 2011  relations with 6 large ideals: 4079222

Fri Feb 25 20:43:08 2011  relations with 7+ large ideals: 7117134

Fri Feb 25 20:43:08 2011  commencing 2-way merge

Fri Feb 25 20:43:18 2011  reduce to 11088690 relation sets and 10683832 unique ideals

Fri Feb 25 20:43:18 2011  commencing full merge

Fri Feb 25 20:46:18 2011  memory use: 1365.4 MB

Fri Feb 25 20:46:19 2011  found 5644235 cycles, need 5590032

Fri Feb 25 20:46:19 2011  weight of 5590032 cycles is about 447506851 (80.05/cycle)

Fri Feb 25 20:46:19 2011  distribution of cycle lengths:

Fri Feb 25 20:46:19 2011  1 relations: 390874

Fri Feb 25 20:46:19 2011  2 relations: 554575

Fri Feb 25 20:46:19 2011  3 relations: 636551

Fri Feb 25 20:46:19 2011  4 relations: 637813

Fri Feb 25 20:46:19 2011  5 relations: 603607

Fri Feb 25 20:46:19 2011  6 relations: 543681

Fri Feb 25 20:46:19 2011  7 relations: 471792

Fri Feb 25 20:46:19 2011  8 relations: 396741

Fri Feb 25 20:46:19 2011  9 relations: 325485

Fri Feb 25 20:46:19 2011  10+ relations: 1028913

Fri Feb 25 20:46:19 2011  heaviest cycle: 22 relations

Fri Feb 25 20:46:20 2011  commencing cycle optimization

Fri Feb 25 20:46:27 2011  start with 34371446 relations

Fri Feb 25 20:47:28 2011  pruned 1252037 relations

Fri Feb 25 20:47:28 2011  memory use: 1014.4 MB

Fri Feb 25 20:47:28 2011  distribution of cycle lengths:

Fri Feb 25 20:47:28 2011  1 relations: 390874

Fri Feb 25 20:47:28 2011  2 relations: 567564

Fri Feb 25 20:47:28 2011  3 relations: 664372

Fri Feb 25 20:47:28 2011  4 relations: 662523

Fri Feb 25 20:47:28 2011  5 relations: 631104

Fri Feb 25 20:47:28 2011  6 relations: 563154

Fri Feb 25 20:47:28 2011  7 relations: 485774

Fri Feb 25 20:47:28 2011  8 relations: 400216

Fri Feb 25 20:47:28 2011  9 relations: 322417

Fri Feb 25 20:47:28 2011  10+ relations: 902034

Fri Feb 25 20:47:28 2011  heaviest cycle: 22 relations

Fri Feb 25 20:47:33 2011  RelProcTime: 2273

Fri Feb 25 20:47:33 2011  

Fri Feb 25 20:47:33 2011  commencing linear algebra

Fri Feb 25 20:47:34 2011  read 5590032 cycles

Fri Feb 25 20:47:42 2011  cycles contain 15540899 unique relations

Fri Feb 25 20:50:51 2011  read 15540899 relations

Fri Feb 25 20:51:12 2011  using 20 quadratic characters above 1073739474

Fri Feb 25 20:52:15 2011  building initial matrix

Fri Feb 25 20:55:15 2011  memory use: 2082.4 MB

Fri Feb 25 20:55:21 2011  read 5590032 cycles

Fri Feb 25 20:55:23 2011  matrix is 5589855 x 5590032 (1860.2 MB) with weight 544571207 (97.42/col)

Fri Feb 25 20:55:23 2011  sparse part has weight 426144241 (76.23/col)

Fri Feb 25 20:56:14 2011  filtering completed in 2 passes

Fri Feb 25 20:56:15 2011  matrix is 5589292 x 5589469 (1860.1 MB) with weight 544553015 (97.42/col)

Fri Feb 25 20:56:15 2011  sparse part has weight 426137794 (76.24/col)

Fri Feb 25 20:56:37 2011  matrix starts at (0, 0)

Fri Feb 25 20:56:38 2011  matrix is 5589292 x 5589469 (1860.1 MB) with weight 544553015 (97.42/col)

Fri Feb 25 20:56:38 2011  sparse part has weight 426137794 (76.24/col)

Fri Feb 25 20:56:38 2011  saving the first 48 matrix rows for later

Fri Feb 25 20:56:40 2011  matrix includes 64 packed rows

Fri Feb 25 20:56:40 2011  matrix is 5589244 x 5589469 (1772.2 MB) with weight 441482459 (78.98/col)

Fri Feb 25 20:56:40 2011  sparse part has weight 408670696 (73.11/col)

Fri Feb 25 20:56:40 2011  using block size 262144 for processor cache size 8192 kB

Fri Feb 25 20:56:49 2011  commencing Lanczos iteration (4 threads)

Fri Feb 25 20:56:49 2011  memory use: 2184.0 MB

Fri Feb 25 20:57:37 2011  linear algebra at 0.0%, ETA 46h58m

Fri Feb 25 20:57:52 2011  checkpointing every 120000 dimensions

Mon Feb 28 16:38:20 2011  

Mon Feb 28 16:38:21 2011  

Mon Feb 28 16:38:21 2011  Msieve v. 1.48

Mon Feb 28 16:38:21 2011  random seeds: ec6409c0 876f52b3

Mon Feb 28 16:38:21 2011  factoring 20847014186393153840541188488278766273700449253155716772465263662611922407413198244681405505696446626431929286927879754422172884288647758424799608076133295808707797825656420359194054431554040672524677653043142895858740631873 (224 digits)

Mon Feb 28 16:38:22 2011  searching for 15-digit factors

Mon Feb 28 16:38:22 2011  commencing number field sieve (224-digit input)

Mon Feb 28 16:38:22 2011  R0: -100000000000000000000000000000000000000

Mon Feb 28 16:38:22 2011  R1:  1

Mon Feb 28 16:38:22 2011  A0:  1

Mon Feb 28 16:38:22 2011  A1:  0

Mon Feb 28 16:38:22 2011  A2:  0

Mon Feb 28 16:38:22 2011  A3:  0

Mon Feb 28 16:38:22 2011  A4:  0

Mon Feb 28 16:38:22 2011  A5:  0

Mon Feb 28 16:38:22 2011  A6:  2

Mon Feb 28 16:38:22 2011  skew 0.89, size 3.372e-011, alpha 1.888, combined = 1.543e-012 rroots = 0

Mon Feb 28 16:38:22 2011  

Mon Feb 28 16:38:22 2011  commencing linear algebra

Mon Feb 28 16:38:44 2011  matrix starts at (0, 0)

Mon Feb 28 16:38:46 2011  matrix is 5589292 x 5589469 (1860.1 MB) with weight 544553015 (97.42/col)

Mon Feb 28 16:38:46 2011  sparse part has weight 426137794 (76.24/col)

Mon Feb 28 16:38:46 2011  saving the first 48 matrix rows for later

Mon Feb 28 16:38:47 2011  matrix includes 64 packed rows

Mon Feb 28 16:38:48 2011  matrix is 5589244 x 5589469 (1772.2 MB) with weight 441482459 (78.98/col)

Mon Feb 28 16:38:48 2011  sparse part has weight 408670696 (73.11/col)

Mon Feb 28 16:38:48 2011  using block size 262144 for processor cache size 8192 kB

Mon Feb 28 16:38:57 2011  commencing Lanczos iteration (4 threads)

Mon Feb 28 16:38:57 2011  memory use: 2184.0 MB

Mon Feb 28 16:39:00 2011  restarting at iteration 1899 (dim = 120026)

Mon Feb 28 16:39:44 2011  linear algebra at 2.2%, ETA 44h17m

Mon Feb 28 16:39:59 2011  checkpointing every 130000 dimensions

Tue Mar 01 22:22:45 2011  

Tue Mar 01 22:22:45 2011  

Tue Mar 01 22:22:45 2011  Msieve v. 1.48

Tue Mar 01 22:22:45 2011  random seeds: d7fdd2a0 b6602898

Tue Mar 01 22:22:45 2011  factoring 20847014186393153840541188488278766273700449253155716772465263662611922407413198244681405505696446626431929286927879754422172884288647758424799608076133295808707797825656420359194054431554040672524677653043142895858740631873 (224 digits)

Tue Mar 01 22:22:47 2011  searching for 15-digit factors

Tue Mar 01 22:22:47 2011  commencing number field sieve (224-digit input)

Tue Mar 01 22:22:47 2011  R0: -100000000000000000000000000000000000000

Tue Mar 01 22:22:47 2011  R1:  1

Tue Mar 01 22:22:47 2011  A0:  1

Tue Mar 01 22:22:47 2011  A1:  0

Tue Mar 01 22:22:47 2011  A2:  0

Tue Mar 01 22:22:47 2011  A3:  0

Tue Mar 01 22:22:47 2011  A4:  0

Tue Mar 01 22:22:47 2011  A5:  0

Tue Mar 01 22:22:47 2011  A6:  2

Tue Mar 01 22:22:47 2011  skew 0.89, size 3.372e-011, alpha 1.888, combined = 1.543e-012 rroots = 0

Tue Mar 01 22:22:47 2011  

Tue Mar 01 22:22:47 2011  commencing linear algebra

Tue Mar 01 22:23:26 2011  matrix starts at (0, 0)

Tue Mar 01 22:23:27 2011  matrix is 5589292 x 5589469 (1860.1 MB) with weight 544553015 (97.42/col)

Tue Mar 01 22:23:27 2011  sparse part has weight 426137794 (76.24/col)

Tue Mar 01 22:23:27 2011  saving the first 48 matrix rows for later

Tue Mar 01 22:23:29 2011  matrix includes 64 packed rows

Tue Mar 01 22:23:30 2011  matrix is 5589244 x 5589469 (1772.2 MB) with weight 441482459 (78.98/col)

Tue Mar 01 22:23:30 2011  sparse part has weight 408670696 (73.11/col)

Tue Mar 01 22:23:30 2011  using block size 262144 for processor cache size 8192 kB

Tue Mar 01 22:23:38 2011  commencing Lanczos iteration (4 threads)

Tue Mar 01 22:23:38 2011  memory use: 2184.0 MB

Tue Mar 01 22:23:41 2011  restarting at iteration 55509 (dim = 3510034)

Tue Mar 01 22:24:25 2011  linear algebra at 62.8%, ETA 16h44m

Tue Mar 01 22:24:40 2011  checkpointing every 130000 dimensions

Wed Mar 02 13:36:24 2011  

Wed Mar 02 13:36:24 2011  

Wed Mar 02 13:36:24 2011  Msieve v. 1.48

Wed Mar 02 13:36:24 2011  random seeds: d83673a0 30174323

Wed Mar 02 13:36:24 2011  factoring 20847014186393153840541188488278766273700449253155716772465263662611922407413198244681405505696446626431929286927879754422172884288647758424799608076133295808707797825656420359194054431554040672524677653043142895858740631873 (224 digits)

Wed Mar 02 13:36:26 2011  searching for 15-digit factors

Wed Mar 02 13:36:27 2011  commencing number field sieve (224-digit input)

Wed Mar 02 13:36:27 2011  R0: -100000000000000000000000000000000000000

Wed Mar 02 13:36:27 2011  R1:  1

Wed Mar 02 13:36:27 2011  A0:  1

Wed Mar 02 13:36:27 2011  A1:  0

Wed Mar 02 13:36:27 2011  A2:  0

Wed Mar 02 13:36:27 2011  A3:  0

Wed Mar 02 13:36:27 2011  A4:  0

Wed Mar 02 13:36:27 2011  A5:  0

Wed Mar 02 13:36:27 2011  A6:  2

Wed Mar 02 13:36:27 2011  skew 0.89, size 3.372e-011, alpha 1.888, combined = 1.543e-012 rroots = 0

Wed Mar 02 13:36:27 2011  

Wed Mar 02 13:36:27 2011  commencing linear algebra

Wed Mar 02 13:42:08 2011  

Wed Mar 02 13:42:08 2011  

Wed Mar 02 13:42:08 2011  Msieve v. 1.48

Wed Mar 02 13:42:08 2011  random seeds: 6c2f29c0 08d64a85

Wed Mar 02 13:42:08 2011  factoring 20847014186393153840541188488278766273700449253155716772465263662611922407413198244681405505696446626431929286927879754422172884288647758424799608076133295808707797825656420359194054431554040672524677653043142895858740631873 (224 digits)

Wed Mar 02 13:42:10 2011  searching for 15-digit factors

Wed Mar 02 13:42:10 2011  commencing number field sieve (224-digit input)

Wed Mar 02 13:42:10 2011  R0: -100000000000000000000000000000000000000

Wed Mar 02 13:42:10 2011  R1:  1

Wed Mar 02 13:42:10 2011  A0:  1

Wed Mar 02 13:42:10 2011  A1:  0

Wed Mar 02 13:42:10 2011  A2:  0

Wed Mar 02 13:42:10 2011  A3:  0

Wed Mar 02 13:42:10 2011  A4:  0

Wed Mar 02 13:42:10 2011  A5:  0

Wed Mar 02 13:42:10 2011  A6:  2

Wed Mar 02 13:42:10 2011  skew 0.89, size 3.372e-011, alpha 1.888, combined = 1.543e-012 rroots = 0

Wed Mar 02 13:42:10 2011  

Wed Mar 02 13:42:10 2011  commencing linear algebra

Wed Mar 02 13:42:32 2011  matrix starts at (0, 0)

Wed Mar 02 13:42:33 2011  matrix is 5589292 x 5589469 (1860.1 MB) with weight 544553015 (97.42/col)

Wed Mar 02 13:42:33 2011  sparse part has weight 426137794 (76.24/col)

Wed Mar 02 13:42:33 2011  saving the first 48 matrix rows for later

Wed Mar 02 13:42:35 2011  matrix includes 64 packed rows

Wed Mar 02 13:42:35 2011  matrix is 5589244 x 5589469 (1772.2 MB) with weight 441482459 (78.98/col)

Wed Mar 02 13:42:35 2011  sparse part has weight 408670696 (73.11/col)

Wed Mar 02 13:42:35 2011  using block size 262144 for processor cache size 8192 kB

Wed Mar 02 13:42:44 2011  commencing Lanczos iteration (4 threads)

Wed Mar 02 13:42:44 2011  memory use: 2184.0 MB

Wed Mar 02 13:42:47 2011  restarting at iteration 84289 (dim = 5330015)

Wed Mar 02 13:43:32 2011  linear algebra at 95.4%, ETA 2h 7m

Wed Mar 02 13:43:47 2011  checkpointing every 130000 dimensions

Wed Mar 02 15:49:47 2011  lanczos halted after 88390 iterations (dim = 5589244)

Wed Mar 02 15:49:54 2011  recovered 37 nontrivial dependencies

Wed Mar 02 15:49:54 2011  BLanczosTime: 7664

Wed Mar 02 15:49:54 2011  

Wed Mar 02 15:49:54 2011  commencing square root phase

Wed Mar 02 15:49:54 2011  reading relations for dependency 1

Wed Mar 02 15:49:56 2011  read 2793612 cycles

Wed Mar 02 15:50:00 2011  cycles contain 7769308 unique relations

Wed Mar 02 15:52:45 2011  read 7769308 relations

Wed Mar 02 15:53:18 2011  multiplying 7769308 relations

Wed Mar 02 15:58:54 2011  multiply complete, coefficients have about 197.58 million bits

Wed Mar 02 15:58:55 2011  initial square root is modulo 12323551

Wed Mar 02 16:05:59 2011  sqrtTime: 965

Wed Mar 02 16:05:59 2011  prp100 factor: 1658052843275649149550468402747156448836661685522907274400714276334861080572841837988510716500313297

Wed Mar 02 16:05:59 2011  prp125 factor: 12573190457071195157266437281109973007053129019574322099417717313024617946606820611699898938002389686859714985551423270922609

Wed Mar 02 16:05:59 2011  elapsed time 02:23:51
software ソフトウェア
ggnfs-lasieve4I14e on the RSALS grid + msieve 1.48

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61318118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
1200Dmitry DomanovJune 20, 2009 05:37:34 UTC 2009 年 6 月 20 日 (土) 14 時 37 分 34 秒 (日本時間)
403e62500Dmitry DomanovJune 20, 2009 05:37:34 UTC 2009 年 6 月 20 日 (土) 14 時 37 分 34 秒 (日本時間)
4511e60--
5043e61115yoyo@homeFebruary 6, 2010 14:50:07 UTC 2010 年 2 月 6 日 (土) 23 時 50 分 7 秒 (日本時間)
5511e72640 / 17351yoyo@homeOctober 21, 2010 20:45:44 UTC 2010 年 10 月 22 日 (金) 5 時 45 分 44 秒 (日本時間)

2×10229+13

c159

name 名前Jo Yeong Uk
date 日付June 18, 2009 14:12:55 UTC 2009 年 6 月 18 日 (木) 23 時 12 分 55 秒 (日本時間)
composite number 合成数
423253407774740648022246108235966296444851118790323740603674354528601384880202632965018613844937841027261734318817645520742415810378445164456463254205170583223<159>
prime factors 素因数
1237470824271985512472690448473327<34>
3750161593708449394591669208868139007<37>
18395753866925715147248317212109801384969<41>
4957901829527390747060609927610231043240041489103<49>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 423253407774740648022246108235966296444851118790323740603674354528601384880202632965018613844937841027261734318817645520742415810378445164456463254205170583223 (159 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=704297402
Step 1 took 5585ms
Step 2 took 4914ms
********** Factor found in step 2: 1237470824271985512472690448473327
Found probable prime factor of 34 digits: 1237470824271985512472690448473327
Composite cofactor 342031019619185111284341039676048075550210964995684373883223922629868991470538634305390046991088073329628622395980813626622649 has 126 digits

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 342031019619185111284341039676048075550210964995684373883223922629868991470538634305390046991088073329628622395980813626622649 (126 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4528562233
Step 1 took 4165ms
Step 2 took 4103ms
********** Factor found in step 2: 3750161593708449394591669208868139007
Found probable prime factor of 37 digits: 3750161593708449394591669208868139007
Composite cofactor 91204341752366576110296493038317865627250705073055612416739775293441219621456530521492807 has 89 digits

06/18/09 22:22:38 v1.10 @ 조영욱-PC, starting SIQS on c89: 91204341752366576110296493038317865627250705073055612416739775293441219621456530521492807
06/18/09 22:22:38 v1.10 @ 조영욱-PC, random seeds: 1827674413, 2265870248
06/18/09 22:22:38 v1.10 @ 조영욱-PC, ==== sieve params ====
06/18/09 22:22:38 v1.10 @ 조영욱-PC, n = 89 digits, 302 bits
06/18/09 22:22:38 v1.10 @ 조영욱-PC, factor base: 64055 primes (max prime = 1699001)
06/18/09 22:22:38 v1.10 @ 조영욱-PC, single large prime cutoff: 186890110 (110 * pmax)
06/18/09 22:22:38 v1.10 @ 조영욱-PC, double large prime range from 43 to 50 bits
06/18/09 22:22:38 v1.10 @ 조영욱-PC, double large prime cutoff: 774203936799977
06/18/09 22:22:38 v1.10 @ 조영욱-PC, using 15 large prime slices of factor base
06/18/09 22:22:38 v1.10 @ 조영욱-PC, buckets hold 1024 elements
06/18/09 22:22:38 v1.10 @ 조영욱-PC, sieve interval: 9 blocks of size 65536
06/18/09 22:22:38 v1.10 @ 조영욱-PC, polynomial A has ~ 12 factors
06/18/09 22:22:38 v1.10 @ 조영욱-PC, using multiplier of 55
06/18/09 22:22:38 v1.10 @ 조영욱-PC, using small prime variation correction of 21 bits
06/18/09 22:22:38 v1.10 @ 조영욱-PC, using SSE2 for trial division and x128 sieve scanning
06/18/09 22:22:38 v1.10 @ 조영욱-PC, trial factoring cutoff at 101 bits
06/18/09 22:22:38 v1.10 @ 조영욱-PC, ==== sieving started ====
06/18/09 23:09:51 v1.10 @ 조영욱-PC, sieve time = 1414.9750, relation time = 346.6610, poly_time = 1070.8390
06/18/09 23:09:51 v1.10 @ 조영욱-PC, 64149 relations found: 22732 full + 41417 from 529677 partial, using 563791 polys (276 A polys)
06/18/09 23:09:51 v1.10 @ 조영욱-PC, on average, sieving found 0.98 rels/poly and 194.96 rels/sec
06/18/09 23:09:51 v1.10 @ 조영욱-PC, trial division touched 12214549 sieve locations out of 665074925568
06/18/09 23:09:51 v1.10 @ 조영욱-PC, ==== post processing stage (msieve-1.38) ====
06/18/09 23:09:52 v1.10 @ 조영욱-PC, begin with 552409 relations
06/18/09 23:09:52 v1.10 @ 조영욱-PC, reduce to 123820 relations in 8 passes
06/18/09 23:09:53 v1.10 @ 조영욱-PC, recovered 123820 relations
06/18/09 23:09:53 v1.10 @ 조영욱-PC, recovered 111157 polynomials
06/18/09 23:09:53 v1.10 @ 조영욱-PC, attempting to build 64149 cycles
06/18/09 23:09:53 v1.10 @ 조영욱-PC, found 64149 cycles in 4 passes
06/18/09 23:09:53 v1.10 @ 조영욱-PC, distribution of cycle lengths:
06/18/09 23:09:53 v1.10 @ 조영욱-PC,    length 1 : 22732
06/18/09 23:09:53 v1.10 @ 조영욱-PC,    length 2 : 19952
06/18/09 23:09:53 v1.10 @ 조영욱-PC,    length 3 : 11344
06/18/09 23:09:53 v1.10 @ 조영욱-PC,    length 4 : 5697
06/18/09 23:09:53 v1.10 @ 조영욱-PC,    length 5 : 2597
06/18/09 23:09:53 v1.10 @ 조영욱-PC,    length 6 : 1045
06/18/09 23:09:53 v1.10 @ 조영욱-PC,    length 7 : 482
06/18/09 23:09:53 v1.10 @ 조영욱-PC,    length 9+: 300
06/18/09 23:09:53 v1.10 @ 조영욱-PC, largest cycle: 16 relations
06/18/09 23:09:53 v1.10 @ 조영욱-PC, matrix is 64055 x 64149 (13.5 MB) with weight 3021778 (47.11/col)
06/18/09 23:09:53 v1.10 @ 조영욱-PC, sparse part has weight 3021778 (47.11/col)
06/18/09 23:09:54 v1.10 @ 조영욱-PC, filtering completed in 3 passes
06/18/09 23:09:54 v1.10 @ 조영욱-PC, matrix is 56373 x 56437 (12.1 MB) with weight 2721078 (48.21/col)
06/18/09 23:09:54 v1.10 @ 조영욱-PC, sparse part has weight 2721078 (48.21/col)
06/18/09 23:09:54 v1.10 @ 조영욱-PC, saving the first 48 matrix rows for later
06/18/09 23:09:54 v1.10 @ 조영욱-PC, matrix is 56325 x 56437 (8.0 MB) with weight 2068248 (36.65/col)
06/18/09 23:09:54 v1.10 @ 조영욱-PC, sparse part has weight 1535318 (27.20/col)
06/18/09 23:09:54 v1.10 @ 조영욱-PC, matrix includes 64 packed rows
06/18/09 23:09:54 v1.10 @ 조영욱-PC, using block size 22574 for processor cache size 4096 kB
06/18/09 23:09:54 v1.10 @ 조영욱-PC, commencing Lanczos iteration
06/18/09 23:09:54 v1.10 @ 조영욱-PC, memory use: 7.4 MB
06/18/09 23:10:06 v1.10 @ 조영욱-PC, lanczos halted after 892 iterations (dim = 56323)
06/18/09 23:10:06 v1.10 @ 조영욱-PC, recovered 18 nontrivial dependencies
06/18/09 23:10:06 v1.10 @ 조영욱-PC, prp49 = 4957901829527390747060609927610231043240041489103
06/18/09 23:10:07 v1.10 @ 조영욱-PC, prp41 = 18395753866925715147248317212109801384969
06/18/09 23:10:07 v1.10 @ 조영욱-PC, Lanczos elapsed time = 14.3360 seconds.
06/18/09 23:10:07 v1.10 @ 조영욱-PC, Sqrt elapsed time = 0.9360 seconds.
06/18/09 23:10:07 v1.10 @ 조영욱-PC, SIQS elapsed time = 2848.7480 seconds.
06/18/09 23:10:07 v1.10 @ 조영욱-PC, 
06/18/09 23:10:07 v1.10 @ 조영욱-PC, 
software ソフトウェア
GMP-ECM 6.2.3 / YAFU 1.10
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)

2×10230+13

c206

composite cofactor 合成数の残り
15813988964482218489321659115163872280530645480365135117692968293970158324138988157880009514041365024206472964311062536527971034835391355498838734089376503207751092544536918902384868080537768200466560966603<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 19, 2010 11:23:25 UTC 2010 年 9 月 19 日 (日) 20 時 23 分 25 秒 (日本時間)
403e6110Ignacio SantosSeptember 19, 2010 11:23:25 UTC 2010 年 9 月 19 日 (日) 20 時 23 分 25 秒 (日本時間)
4511e663232Ignacio SantosSeptember 19, 2010 11:23:25 UTC 2010 年 9 月 19 日 (日) 20 時 23 分 25 秒 (日本時間)
600Dmitry DomanovMarch 27, 2011 19:39:57 UTC 2011 年 3 月 28 日 (月) 4 時 39 分 57 秒 (日本時間)
5043e61085480Dmitry DomanovSeptember 13, 2011 21:06:22 UTC 2011 年 9 月 14 日 (水) 6 時 6 分 22 秒 (日本時間)
480Dmitry DomanovSeptember 14, 2011 21:15:25 UTC 2011 年 9 月 15 日 (木) 6 時 15 分 25 秒 (日本時間)
125Dmitry DomanovSeptember 17, 2011 20:21:14 UTC 2011 年 9 月 18 日 (日) 5 時 21 分 14 秒 (日本時間)
5511e72639 / 173422635yoyo@homeMarch 1, 2012 15:45:05 UTC 2012 年 3 月 2 日 (金) 0 時 45 分 5 秒 (日本時間)
4KTakahashiApril 24, 2014 09:10:44 UTC 2014 年 4 月 24 日 (木) 18 時 10 分 44 秒 (日本時間)

2×10231+13

c216

composite cofactor 合成数の残り
419192018052578529072881003798661099941953312495672450425259514066858905755183913455815273033538456358067642271620854470152180947673136910152371066367870450385937041995938310940728828548201675999710911802149634323481<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 19, 2010 11:23:54 UTC 2010 年 9 月 19 日 (日) 20 時 23 分 54 秒 (日本時間)
403e6110Ignacio SantosSeptember 19, 2010 11:23:54 UTC 2010 年 9 月 19 日 (日) 20 時 23 分 54 秒 (日本時間)
4511e673232Ignacio SantosSeptember 19, 2010 11:23:54 UTC 2010 年 9 月 19 日 (日) 20 時 23 分 54 秒 (日本時間)
700Dmitry DomanovMarch 28, 2011 16:51:07 UTC 2011 年 3 月 29 日 (火) 1 時 51 分 7 秒 (日本時間)
5043e61060480Dmitry DomanovSeptember 13, 2011 21:05:07 UTC 2011 年 9 月 14 日 (水) 6 時 5 分 7 秒 (日本時間)
480Dmitry DomanovSeptember 14, 2011 21:14:48 UTC 2011 年 9 月 15 日 (木) 6 時 14 分 48 秒 (日本時間)
100Dmitry DomanovSeptember 17, 2011 20:19:46 UTC 2011 年 9 月 18 日 (日) 5 時 19 分 46 秒 (日本時間)
5511e72641 / 173442635yoyo@homeMarch 1, 2012 19:10:05 UTC 2012 年 3 月 2 日 (金) 4 時 10 分 5 秒 (日本時間)
6KTakahashiApril 24, 2014 10:16:42 UTC 2014 年 4 月 24 日 (木) 19 時 16 分 42 秒 (日本時間)

2×10232+13

c222

name 名前Dmitry Domanov
date 日付June 19, 2009 10:25:05 UTC 2009 年 6 月 19 日 (金) 19 時 25 分 5 秒 (日本時間)
composite number 合成数
248306084419356424202899008574067558667953865196181338634121565011135334961702063932399043756984988042189000336691864283544219212220715026099347810227449884394807218563374978595762561227974014352948757550391611496983842089<222>
prime factors 素因数
7430349296958259255009925644985843<34>
composite cofactor 合成数の残り
33417821221541330852542188413689425137725811211108368838101480074258853205202674229068504165866529215131936272245109112256704331846203516632198560835389525811428095563532128787664936663923<188>
factorization results 素因数分解の結果
C222=P34*C188
C222=7430349296958259255009925644985843<34>*33417821221541330852542188413689425137725811211108368838101480074258853205202674229068504165866529215131936272245109112256704331846203516632198560835389525811428095563532128787664936663923<188>
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61318118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
1200Dmitry DomanovJune 19, 2009 10:23:38 UTC 2009 年 6 月 19 日 (金) 19 時 23 分 38 秒 (日本時間)
403e62000Dmitry DomanovJune 21, 2009 19:54:55 UTC 2009 年 6 月 22 日 (月) 4 時 54 分 55 秒 (日本時間)
4511e6150Dmitry DomanovJune 22, 2009 07:29:34 UTC 2009 年 6 月 22 日 (月) 16 時 29 分 34 秒 (日本時間)
5043e61105yoyo@homeFebruary 6, 2010 16:00:11 UTC 2010 年 2 月 7 日 (日) 1 時 0 分 11 秒 (日本時間)
5511e72646 / 173492640yoyo@homeOctober 21, 2010 21:41:22 UTC 2010 年 10 月 22 日 (金) 6 時 41 分 22 秒 (日本時間)
6KTakahashiApril 24, 2014 09:38:50 UTC 2014 年 4 月 24 日 (木) 18 時 38 分 50 秒 (日本時間)

2×10234+13

c226

name 名前Dmitry Domanov
date 日付June 23, 2009 08:48:32 UTC 2009 年 6 月 23 日 (火) 17 時 48 分 32 秒 (日本時間)
composite number 合成数
2309304341569177449844937776435348373299060670483584182498890630400723155883397178035406002450765397620680552890089129806448508602241229975397098766225173747180254243346438970320867942891933582730581518477319631002124893688721<226>
prime factors 素因数
729812897211517853487632354670094565923<39>
3164241616437046679403827475768447797264211271061761553933740453597778289635577612191476954130503242628832673837317052776146482706548181034700795185780339672202760023332942933779133885627<187>
factorization results 素因数分解の結果
C226=P39*P187
C226=729812897211517853487632354670094565923<39>*3164241616437046679403827475768447797264211271061761553933740453597778289635577612191476954130503242628832673837317052776146482706548181034700795185780339672202760023332942933779133885627<187>
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61318118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
1200Andreas TeteJune 20, 2009 15:18:04 UTC 2009 年 6 月 21 日 (日) 0 時 18 分 4 秒 (日本時間)

2×10236+13

c211

name 名前Ignacio Santos
date 日付September 19, 2010 11:20:37 UTC 2010 年 9 月 19 日 (日) 20 時 20 分 37 秒 (日本時間)
composite number 合成数
1056607313758991380662401268117189727841468952383759772840085766122572308807473404992246040015051672561984167331199975103964051500296622029404557892650253093267374359275809940892717241888151080638537783316653297<211>
prime factors 素因数
133865220227017680314556002729857<33>
composite cofactor 合成数の残り
7893068206716616502845343904956245091027670341347592966545805623914631254709197600248599853688786505551866301244910282846290375795093750725912628925033970300858240257293217815921<178>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2084565139
Step 1 took 29796ms
Step 2 took 15663ms
********** Factor found in step 2: 133865220227017680314556002729857
Found probable prime factor of 33 digits: 133865220227017680314556002729857
Composite cofactor 7893068206716616502845343904956245091027670341347592966545805623914631254709197600248599853688786505551866301244910282846290375795093750725912628925033970300858240257293217815921 has 178 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 KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 19, 2010 21:44:10 UTC 2010 年 9 月 20 日 (月) 6 時 44 分 10 秒 (日本時間)
403e6110Ignacio SantosSeptember 19, 2010 21:44:10 UTC 2010 年 9 月 20 日 (月) 6 時 44 分 10 秒 (日本時間)
4511e6103232Ignacio SantosSeptember 19, 2010 21:44:10 UTC 2010 年 9 月 20 日 (月) 6 時 44 分 10 秒 (日本時間)
600Dmitry DomanovMarch 26, 2011 19:05:52 UTC 2011 年 3 月 27 日 (日) 4 時 5 分 52 秒 (日本時間)
400Dmitry DomanovApril 1, 2011 16:49:04 UTC 2011 年 4 月 2 日 (土) 1 時 49 分 4 秒 (日本時間)
5043e61530100Dmitry DomanovApril 1, 2011 16:49:04 UTC 2011 年 4 月 2 日 (土) 1 時 49 分 4 秒 (日本時間)
120Dmitry DomanovApril 1, 2011 19:30:59 UTC 2011 年 4 月 2 日 (土) 4 時 30 分 59 秒 (日本時間)
200Dmitry DomanovApril 3, 2011 21:50:27 UTC 2011 年 4 月 4 日 (月) 6 時 50 分 27 秒 (日本時間)
150Dmitry DomanovSeptember 13, 2011 21:04:05 UTC 2011 年 9 月 14 日 (水) 6 時 4 分 5 秒 (日本時間)
300Dmitry DomanovSeptember 13, 2011 21:06:08 UTC 2011 年 9 月 14 日 (水) 6 時 6 分 8 秒 (日本時間)
100Dmitry DomanovSeptember 17, 2011 20:20:35 UTC 2011 年 9 月 18 日 (日) 5 時 20 分 35 秒 (日本時間)
560Dmitry DomanovDecember 12, 2011 20:24:01 UTC 2011 年 12 月 13 日 (火) 5 時 24 分 1 秒 (日本時間)
5511e72680 / 171581Dmitry DomanovSeptember 17, 2011 20:20:35 UTC 2011 年 9 月 18 日 (日) 5 時 20 分 35 秒 (日本時間)
2645yoyo@homeMarch 1, 2012 22:05:06 UTC 2012 年 3 月 2 日 (金) 7 時 5 分 6 秒 (日本時間)
34KTakahashiApril 24, 2014 21:20:47 UTC 2014 年 4 月 25 日 (金) 6 時 20 分 47 秒 (日本時間)

2×10237+13

c177

name 名前Ignacio Santos
date 日付September 19, 2010 11:22:00 UTC 2010 年 9 月 19 日 (日) 20 時 22 分 0 秒 (日本時間)
composite number 合成数
510416885654538796604555963390826397124829995239378573354435875231685949434586281356924166061184115466130239845386625973933090398442852851466910717749066542214356929954931638781<177>
prime factors 素因数
48886233257665591355925944366149901<35>
10440912535933682878320838779808157729499909743689380823496530604744449427596888394580290366457156961216435498206579206225247178136183071176881<143>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2644843789
Step 1 took 24929ms
Step 2 took 13291ms
********** Factor found in step 2: 48886233257665591355925944366149901
Found probable prime factor of 35 digits: 48886233257665591355925944366149901
Probable prime cofactor 10440912535933682878320838779808157729499909743689380823496530604744449427596888394580290366457156961216435498206579206225247178136183071176881 has 143 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 KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)

2×10239+13

c202

composite cofactor 合成数の残り
1633535413608497347385643990765154066713355986984583412726859420932003582316936375003287931777112529892162075383702582847663115838499129614883550459313070054121263244543338645848164456008212023199943283<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 19, 2010 11:24:55 UTC 2010 年 9 月 19 日 (日) 20 時 24 分 55 秒 (日本時間)
403e6110Ignacio SantosSeptember 19, 2010 11:24:55 UTC 2010 年 9 月 19 日 (日) 20 時 24 分 55 秒 (日本時間)
4511e663232Ignacio SantosSeptember 19, 2010 11:24:55 UTC 2010 年 9 月 19 日 (日) 20 時 24 分 55 秒 (日本時間)
600Dmitry DomanovMarch 27, 2011 16:15:17 UTC 2011 年 3 月 28 日 (月) 1 時 15 分 17 秒 (日本時間)
5043e61100480Dmitry DomanovSeptember 13, 2011 21:04:33 UTC 2011 年 9 月 14 日 (水) 6 時 4 分 33 秒 (日本時間)
220Dmitry DomanovSeptember 14, 2011 21:14:03 UTC 2011 年 9 月 15 日 (木) 6 時 14 分 3 秒 (日本時間)
400Dmitry DomanovSeptember 16, 2011 22:07:58 UTC 2011 年 9 月 17 日 (土) 7 時 7 分 58 秒 (日本時間)
5511e72633 / 173362630yoyo@homeMarch 2, 2012 01:50:05 UTC 2012 年 3 月 2 日 (金) 10 時 50 分 5 秒 (日本時間)
3KTakahashiApril 23, 2014 22:49:51 UTC 2014 年 4 月 24 日 (木) 7 時 49 分 51 秒 (日本時間)

2×10241+13

c233

composite cofactor 合成数の残り
24442017849059729077561533827886523146388645361862467192655713316111658651010791643387019528941284330049918531882571986658466320794271429441686616944343082378006983370471085198596289537684572965935244048727034840667807891366258899383<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61318118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
1200Dmitry DomanovJune 26, 2009 08:44:15 UTC 2009 年 6 月 26 日 (金) 17 時 44 分 15 秒 (日本時間)
403e62500Dmitry DomanovJune 26, 2009 08:44:15 UTC 2009 年 6 月 26 日 (金) 17 時 44 分 15 秒 (日本時間)
4511e60--
5043e61115yoyo@homeFebruary 6, 2010 17:25:12 UTC 2010 年 2 月 7 日 (日) 2 時 25 分 12 秒 (日本時間)
5511e72648 / 173512640yoyo@homeOctober 24, 2010 18:32:08 UTC 2010 年 10 月 25 日 (月) 3 時 32 分 8 秒 (日本時間)
8KTakahashiApril 24, 2014 11:15:00 UTC 2014 年 4 月 24 日 (木) 20 時 15 分 0 秒 (日本時間)

2×10242+13

c202

composite cofactor 合成数の残り
5479419952283549152976758550677787120624047235833893802637678463277225482632766717094161959265617391496359851873115295306703933456349828379476294331535479925975025006187326640041360843761752212765583339<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 19, 2010 11:25:39 UTC 2010 年 9 月 19 日 (日) 20 時 25 分 39 秒 (日本時間)
403e6110Ignacio SantosSeptember 19, 2010 11:25:39 UTC 2010 年 9 月 19 日 (日) 20 時 25 分 39 秒 (日本時間)
4511e663232Ignacio SantosSeptember 19, 2010 11:25:39 UTC 2010 年 9 月 19 日 (日) 20 時 25 分 39 秒 (日本時間)
600Dmitry DomanovMarch 27, 2011 16:15:45 UTC 2011 年 3 月 28 日 (月) 1 時 15 分 45 秒 (日本時間)
5043e61090210Dmitry DomanovApril 4, 2011 14:49:04 UTC 2011 年 4 月 4 日 (月) 23 時 49 分 4 秒 (日本時間)
480Dmitry DomanovSeptember 13, 2011 21:00:33 UTC 2011 年 9 月 14 日 (水) 6 時 0 分 33 秒 (日本時間)
400Dmitry DomanovSeptember 14, 2011 21:12:05 UTC 2011 年 9 月 15 日 (木) 6 時 12 分 5 秒 (日本時間)
5511e72637 / 173402630yoyo@homeMarch 9, 2012 05:25:04 UTC 2012 年 3 月 9 日 (金) 14 時 25 分 4 秒 (日本時間)
7KTakahashiApril 24, 2014 11:40:14 UTC 2014 年 4 月 24 日 (木) 20 時 40 分 14 秒 (日本時間)

2×10243+13

c234

name 名前yoyo@home
date 日付February 7, 2010 18:07:10 UTC 2010 年 2 月 8 日 (月) 3 時 7 分 10 秒 (日本時間)
composite number 合成数
508728065938570531015597669399417243402963053094879658706102354697530492312604218047485927619564184432790591785215319867399612456097521462949034680952987984878089781116079156934282244157825203716014230463994027499947284961897362898363<234>
prime factors 素因数
506439276824791162630344419211653767410449<42>
composite cofactor 合成数の残り
1004519375211435670029372811268959594840743952499766122315209052323453669883470096213850831545818514059590135193152768624786892073273333886366748760318266135212568100871049612146368231132875787<193>
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 508728065938570531015597669399417243402963053094879658706102354697530492312604218047485927619564184432790591785215319867399612456097521462949034680952987984878089781116079156934282244157825203716014230463994027499947284961897362898363 (234 digits)
[Sun Feb 07 17:06:36 2010]
Using MODMULN
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3457758823
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
20    25      30      35      40      45      50      55      60      65
2       5       14      55      246     1277    7553    49797   358989  2841353
Step 1 took 618528ms
Using 28 small primes for NTT
Estimated memory usage: 316M
Initializing tables of differences for F took 140ms
Computing roots of F took 11311ms
Building F from its roots took 12651ms
Computing 1/F took 5897ms
Initializing table of differences for G took 218ms
Computing roots of G took 9142ms
Building G from its roots took 11919ms
Computing roots of G took 9158ms
Building G from its roots took 11918ms
Computing G * H took 3260ms
Reducing  G * H mod F took 3260ms
Computing roots of G took 9142ms
Building G from its roots took 11950ms
Computing G * H took 3244ms
Reducing  G * H mod F took 3261ms
Computing roots of G took 9110ms
Building G from its roots took 11965ms
Computing G * H took 3260ms
Reducing  G * H mod F took 3245ms
Computing roots of G took 9126ms
Building G from its roots took 11965ms
Computing G * H took 3276ms
Reducing  G * H mod F took 3245ms
Computing polyeval(F,G) took 22480ms
Computing product of all F(g_i) took 140ms
Step 2 took 184767ms
********** Factor found in step 2: 506439276824791162630344419211653767410449
Found probable prime factor of 42 digits: 506439276824791162630344419211653767410449
Composite cofactor 1004519375211435670029372811268959594840743952499766122315209052323453669883470096213850831545818514059590135193152768624786892073273333886366748760318266135212568100871049612146368231132875787 has 193 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
351e61318118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
1200Dmitry DomanovJune 26, 2009 08:44:59 UTC 2009 年 6 月 26 日 (金) 17 時 44 分 59 秒 (日本時間)
403e62000Dmitry DomanovJune 26, 2009 08:44:59 UTC 2009 年 6 月 26 日 (金) 17 時 44 分 59 秒 (日本時間)
4511e60--
5043e61136400yoyo@homeFebruary 6, 2010 19:05:11 UTC 2010 年 2 月 7 日 (日) 4 時 5 分 11 秒 (日本時間)
480Dmitry DomanovSeptember 13, 2011 21:01:04 UTC 2011 年 9 月 14 日 (水) 6 時 1 分 4 秒 (日本時間)
256Dmitry DomanovSeptember 14, 2011 21:13:09 UTC 2011 年 9 月 15 日 (木) 6 時 13 分 9 秒 (日本時間)
5511e72644 / 173472640yoyo@homeMarch 9, 2012 18:55:19 UTC 2012 年 3 月 10 日 (土) 3 時 55 分 19 秒 (日本時間)
4KTakahashiApril 24, 2014 09:11:03 UTC 2014 年 4 月 24 日 (木) 18 時 11 分 3 秒 (日本時間)

2×10244+13

c214

name 名前Dmitry Domanov
date 日付April 4, 2011 19:11:39 UTC 2011 年 4 月 5 日 (火) 4 時 11 分 39 秒 (日本時間)
composite number 合成数
8652616869997992372737723537412454406337155769395373509978262299083482545655935350325811768772980926632354554346756936891280803477291032705363024289354839747366250527551566795893156094937904983159793469661069287489<214>
prime factors 素因数
783811519768939918172396506532456779244924449<45>
11039155015926150758826840766355961172139725756092511178954825967922862024403639640894008982990593717885003609199992688871991063184782392311841571512184920529035163708961<170>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=340556853
Step 1 took 630347ms
Step 2 took 221131ms
********** Factor found in step 2: 783811519768939918172396506532456779244924449
Found probable prime factor of 45 digits: 783811519768939918172396506532456779244924449
Probable prime cofactor 11039155015926150758826840766355961172139725756092511178954825967922862024403639640894008982990593717885003609199992688871991063184782392311841571512184920529035163708961 has 170 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 19, 2010 11:26:27 UTC 2010 年 9 月 19 日 (日) 20 時 26 分 27 秒 (日本時間)
403e6110Ignacio SantosSeptember 19, 2010 11:26:27 UTC 2010 年 9 月 19 日 (日) 20 時 26 分 27 秒 (日本時間)
4511e6632 / 331432Ignacio SantosSeptember 19, 2010 11:26:27 UTC 2010 年 9 月 19 日 (日) 20 時 26 分 27 秒 (日本時間)
600Dmitry DomanovMarch 28, 2011 22:46:18 UTC 2011 年 3 月 29 日 (火) 7 時 46 分 18 秒 (日本時間)
5043e6320 / 7405Dmitry DomanovApril 4, 2011 14:46:56 UTC 2011 年 4 月 4 日 (月) 23 時 46 分 56 秒 (日本時間)

2×10245+13

c170

name 名前Jo Yeong Uk
date 日付June 18, 2009 23:54:07 UTC 2009 年 6 月 19 日 (金) 8 時 54 分 7 秒 (日本時間)
composite number 合成数
14487326923495388617824015611778517505155899148341968548636740762719170987406338312232633735870766518958322657602899284502551991614008890281311729164701564107015028849723<170>
prime factors 素因数
143367365426738090002045861251553483338881<42>
composite cofactor 合成数の残り
101050381168499134820535981759329661173475719716918113615492884413715003106991408503990025473220959006588553102747390264655274683<129>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 14487326923495388617824015611778517505155899148341968548636740762719170987406338312232633735870766518958322657602899284502551991614008890281311729164701564107015028849723 (170 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3765053233
Step 1 took 4782ms
Step 2 took 2800ms
********** Factor found in step 2: 143367365426738090002045861251553483338881
Found probable prime factor of 42 digits: 143367365426738090002045861251553483338881
Composite cofactor 101050381168499134820535981759329661173475719716918113615492884413715003106991408503990025473220959006588553102747390264655274683 has 129 digits
execution environment 実行環境
Core 2 Quad Q6700

c129

name 名前Jo Yeong Uk
date 日付June 20, 2009 04:10:41 UTC 2009 年 6 月 20 日 (土) 13 時 10 分 41 秒 (日本時間)
composite number 合成数
101050381168499134820535981759329661173475719716918113615492884413715003106991408503990025473220959006588553102747390264655274683<129>
prime factors 素因数
6214754527728988809452793868940752428182767<43>
16259754221608044527762712435800332789719768404154926526062152292523869431586832367349<86>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 101050381168499134820535981759329661173475719716918113615492884413715003106991408503990025473220959006588553102747390264655274683 (129 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=69261048
Step 1 took 10110ms
Step 2 took 5103ms
********** Factor found in step 2: 6214754527728988809452793868940752428182767
Found probable prime factor of 43 digits: 6214754527728988809452793868940752428182767
Probable prime cofactor 16259754221608044527762712435800332789719768404154926526062152292523869431586832367349 has 86 digits
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
786Jo Yeong UkJune 20, 2009 00:48:39 UTC 2009 年 6 月 20 日 (土) 9 時 48 分 39 秒 (日本時間)

2×10246+13

c208

composite cofactor 合成数の残り
1783691958983752539795296835873412888631674074009839953191128256487870634076552669586875391945020633573069344467360500799873046095666608585294371119769108270531951553962373583210569103453761946893068058099281<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 19, 2010 12:00:04 UTC 2010 年 9 月 19 日 (日) 21 時 0 分 4 秒 (日本時間)
403e6110Ignacio SantosSeptember 19, 2010 12:00:04 UTC 2010 年 9 月 19 日 (日) 21 時 0 分 4 秒 (日本時間)
4511e663232Ignacio SantosSeptember 19, 2010 12:00:04 UTC 2010 年 9 月 19 日 (日) 21 時 0 分 4 秒 (日本時間)
600Dmitry DomanovMarch 28, 2011 22:46:51 UTC 2011 年 3 月 29 日 (火) 7 時 46 分 51 秒 (日本時間)
5043e61088200Dmitry DomanovApril 4, 2011 12:16:31 UTC 2011 年 4 月 4 日 (月) 21 時 16 分 31 秒 (日本時間)
480Dmitry DomanovSeptember 12, 2011 20:49:51 UTC 2011 年 9 月 13 日 (火) 5 時 49 分 51 秒 (日本時間)
408Dmitry DomanovSeptember 13, 2011 21:01:59 UTC 2011 年 9 月 14 日 (水) 6 時 1 分 59 秒 (日本時間)
5511e72637 / 173402635yoyo@homeMarch 10, 2012 09:25:05 UTC 2012 年 3 月 10 日 (土) 18 時 25 分 5 秒 (日本時間)
2KTakahashiApril 23, 2014 13:46:24 UTC 2014 年 4 月 23 日 (水) 22 時 46 分 24 秒 (日本時間)

2×10247+13

c219

composite cofactor 合成数の残り
310586340309839752596089596225573732793236480375920870499852412652370971819335210946517848464973631503587957530747989344645216207323975478861245674748781574983225382059963959225897977150193376874250312097403925239088189<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 19, 2010 13:11:42 UTC 2010 年 9 月 19 日 (日) 22 時 11 分 42 秒 (日本時間)
403e6110Ignacio SantosSeptember 19, 2010 13:11:42 UTC 2010 年 9 月 19 日 (日) 22 時 11 分 42 秒 (日本時間)
4511e675232Ignacio SantosSeptember 19, 2010 13:11:42 UTC 2010 年 9 月 19 日 (日) 22 時 11 分 42 秒 (日本時間)
720Dmitry DomanovMarch 28, 2011 22:48:04 UTC 2011 年 3 月 29 日 (火) 7 時 48 分 4 秒 (日本時間)
5043e61080200Dmitry DomanovApril 4, 2011 12:15:40 UTC 2011 年 4 月 4 日 (月) 21 時 15 分 40 秒 (日本時間)
400Dmitry DomanovSeptember 10, 2011 20:23:32 UTC 2011 年 9 月 11 日 (日) 5 時 23 分 32 秒 (日本時間)
480Dmitry DomanovSeptember 12, 2011 20:50:26 UTC 2011 年 9 月 13 日 (火) 5 時 50 分 26 秒 (日本時間)
5511e72633 / 173362625yoyo@homeMarch 10, 2012 20:05:06 UTC 2012 年 3 月 11 日 (日) 5 時 5 分 6 秒 (日本時間)
8KTakahashiApril 24, 2014 11:13:16 UTC 2014 年 4 月 24 日 (木) 20 時 13 分 16 秒 (日本時間)

2×10248+13

c241

name 名前Dmitry Domanov
date 日付June 20, 2009 05:36:40 UTC 2009 年 6 月 20 日 (土) 14 時 36 分 40 秒 (日本時間)
composite number 合成数
9257745874968309578651749105273577731344010384228393034453488182093936403266669693949567781303898885788624091126584816158062309351188932957302211383870534867656588175331153041602319546744465059901550353041824505447743704489789192331568390371<241>
prime factors 素因数
41158940460267795191725127905610171<35>
composite cofactor 合成数の残り
224926729683557925143732786282199759731260062609772664415477620172801666485846605924960352715932697003118406528404722564383235862597511428194310219734798101447346433956246920912393774411884500256114875326201<207>
factorization results 素因数分解の結果
C241=P35*C207
C241=41158940460267795191725127905610171<35>*224926729683557925143732786282199759731260062609772664415477620172801666485846605924960352715932697003118406528404722564383235862597511428194310219734798101447346433956246920912393774411884500256114875326201<207>
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61318118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
1200Dmitry DomanovJune 20, 2009 05:36:12 UTC 2009 年 6 月 20 日 (土) 14 時 36 分 12 秒 (日本時間)
403e6610Dmitry DomanovJune 20, 2009 05:36:12 UTC 2009 年 6 月 20 日 (土) 14 時 36 分 12 秒 (日本時間)
4511e6400Dmitry DomanovMarch 29, 2011 16:37:56 UTC 2011 年 3 月 30 日 (水) 1 時 37 分 56 秒 (日本時間)
5043e611166Dmitry DomanovMarch 29, 2011 16:43:57 UTC 2011 年 3 月 30 日 (水) 1 時 43 分 57 秒 (日本時間)
100Dmitry DomanovApril 3, 2011 20:26:27 UTC 2011 年 4 月 4 日 (月) 5 時 26 分 27 秒 (日本時間)
200Dmitry DomanovApril 4, 2011 08:31:56 UTC 2011 年 4 月 4 日 (月) 17 時 31 分 56 秒 (日本時間)
480Dmitry DomanovSeptember 12, 2011 20:49:23 UTC 2011 年 9 月 13 日 (火) 5 時 49 分 23 秒 (日本時間)
330Dmitry DomanovSeptember 13, 2011 21:03:16 UTC 2011 年 9 月 14 日 (水) 6 時 3 分 16 秒 (日本時間)
5511e72637 / 173402635yoyo@homeMarch 14, 2012 09:05:04 UTC 2012 年 3 月 14 日 (水) 18 時 5 分 4 秒 (日本時間)
2KTakahashiApril 23, 2014 13:46:37 UTC 2014 年 4 月 23 日 (水) 22 時 46 分 37 秒 (日本時間)

2×10249+13

c192

name 名前Dmitry Domanov
date 日付March 29, 2011 06:31:28 UTC 2011 年 3 月 29 日 (火) 15 時 31 分 28 秒 (日本時間)
composite number 合成数
372152223781228945748020125940413239885005270437821423949432770429863345881600935664479082789445073732474623684551217407465963583821853364374370287628172816714963175614815398262486380639191349<192>
prime factors 素因数
208666430597673237112882022158355203<36>
composite cofactor 合成数の残り
1783479128460151456647721671558292426258978392145389190165042544053829361582811437710538664540559274764811390378422358673357126198398698320639341387603636583<157>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=474321204
Step 1 took 198250ms
Step 2 took 71209ms
********** Factor found in step 2: 208666430597673237112882022158355203
Found probable prime factor of 36 digits: 208666430597673237112882022158355203
Composite cofactor 1783479128460151456647721671558292426258978392145389190165042544053829361582811437710538664540559274764811390378422358673357126198398698320639341387603636583 has 157 digits

c157

name 名前RSALS + Rich Dickerson
date 日付July 29, 2012 07:17:07 UTC 2012 年 7 月 29 日 (日) 16 時 17 分 7 秒 (日本時間)
composite number 合成数
1783479128460151456647721671558292426258978392145389190165042544053829361582811437710538664540559274764811390378422358673357126198398698320639341387603636583<157>
prime factors 素因数
61093737273371169843912410750170646507887687463123107736749332719309<68>
29192503324518561896971209784688477899617686112294287396550139555133875674865792696496387<89>
factorization results 素因数分解の結果
prp68 = 61093737273371169843912410750170646507887687463123107736749332719309
prp89 = 29192503324518561896971209784688477899617686112294287396550139555133875674865792696496387
software ソフトウェア
ggnfs-lasieve4I14e on the RSALS grid + msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 19, 2010 14:38:23 UTC 2010 年 9 月 19 日 (日) 23 時 38 分 23 秒 (日本時間)
403e6110Ignacio SantosSeptember 19, 2010 14:38:23 UTC 2010 年 9 月 19 日 (日) 23 時 38 分 23 秒 (日本時間)
4511e663232Ignacio SantosSeptember 19, 2010 14:38:23 UTC 2010 年 9 月 19 日 (日) 23 時 38 分 23 秒 (日本時間)
600Dmitry DomanovMarch 28, 2011 22:49:16 UTC 2011 年 3 月 29 日 (火) 7 時 49 分 16 秒 (日本時間)
5043e6830150Dmitry DomanovApril 1, 2011 16:47:22 UTC 2011 年 4 月 2 日 (土) 1 時 47 分 22 秒 (日本時間)
400Dmitry DomanovApril 3, 2011 20:22:15 UTC 2011 年 4 月 4 日 (月) 5 時 22 分 15 秒 (日本時間)
280Dmitry DomanovApril 4, 2011 17:49:13 UTC 2011 年 4 月 5 日 (火) 2 時 49 分 13 秒 (日本時間)
5511e72830 / 17409100Dmitry DomanovApril 4, 2011 17:49:36 UTC 2011 年 4 月 5 日 (火) 2 時 49 分 36 秒 (日本時間)
10Dmitry DomanovApril 4, 2011 17:50:17 UTC 2011 年 4 月 5 日 (火) 2 時 50 分 17 秒 (日本時間)
2720yoyo@homeJune 5, 2011 02:35:10 UTC 2011 年 6 月 5 日 (日) 11 時 35 分 10 秒 (日本時間)
6026e710 / 40841Dmitry DomanovApril 4, 2011 17:49:54 UTC 2011 年 4 月 5 日 (火) 2 時 49 分 54 秒 (日本時間)

2×10251+13

c207

composite cofactor 合成数の残り
326966465990617392933323203125544082898790294250563641673236033896045949649285007613239809976813771503899610893193637998659328637072484587485973936358777680000460350862513500130435342995126158181884724977649<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 9, 2015 02:11:13 UTC 2015 年 9 月 9 日 (水) 11 時 11 分 13 秒 (日本時間)
403e62104KTakahashiSeptember 9, 2015 20:59:00 UTC 2015 年 9 月 10 日 (木) 5 時 59 分 0 秒 (日本時間)

2×10253+13

c250

name 名前Serge Batalov
date 日付September 8, 2015 19:13:29 UTC 2015 年 9 月 9 日 (水) 4 時 13 分 29 秒 (日本時間)
composite number 合成数
6391818472355385107062959411952700543304570150207734100351550015979546180888462767657398529881751358261425375519335250878875039948865452221156919143496324704378395653563438798338127197187599872163630552892297858740811760945989133908596995845317992969<250>
prime factors 素因数
93653889351290830243900100467867<32>
composite cofactor 合成数の残り
68249364939666403322435672693173052302207966362630163862822280572389612873176181591558864139225953200959097874427424642062180129226910426104808872136873492579041091555994882754807148173037260781663758373271890462833707<218>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1300462282
Step 1 took 22962ms
Step 2 took 16439ms
********** Factor found in step 2: 93653889351290830243900100467867
Found probable prime factor of 32 digits: 93653889351290830243900100467867
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovSeptember 8, 2015 19:11:07 UTC 2015 年 9 月 9 日 (水) 4 時 11 分 7 秒 (日本時間)

2×10254+13

c216

composite cofactor 合成数の残り
761983025002867483493103522352697486698882920052497004500917306347259156212788829998495637257287603338723119674750044596141784591615490642786092655701448741089033445231836326963140923113354446801883209507492869983331<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 9, 2015 02:12:26 UTC 2015 年 9 月 9 日 (水) 11 時 12 分 26 秒 (日本時間)
403e62104KTakahashiSeptember 9, 2015 02:12:26 UTC 2015 年 9 月 9 日 (水) 11 時 12 分 26 秒 (日本時間)

2×10255+13

c224

composite cofactor 合成数の残り
74718331150591594055580371987168182646378495071555708320215996582548092473267897622443451280591847899303654698251539213426916151633916658362647630140071769600479356349704659250953812364091981071588310550715651151570684144743<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 9, 2015 02:12:44 UTC 2015 年 9 月 9 日 (水) 11 時 12 分 44 秒 (日本時間)
403e6300Dmitry DomanovSeptember 11, 2015 06:13:40 UTC 2015 年 9 月 11 日 (金) 15 時 13 分 40 秒 (日本時間)
4511e6523 / 4372CypJuly 5, 2017 09:26:23 UTC 2017 年 7 月 5 日 (水) 18 時 26 分 23 秒 (日本時間)

2×10256+13

c224

name 名前KTakahashi
date 日付September 9, 2015 02:14:21 UTC 2015 年 9 月 9 日 (水) 11 時 14 分 21 秒 (日本時間)
composite number 合成数
11998924360855035349034280900359188158163014308249130516620846760630355801846394121880001504117660232240208326528662267986874382474701215708779513758143921698821435715701239390748668164533471191301889842063181083993423445577<224>
prime factors 素因数
303806949737544886307762479777001<33>
composite cofactor 合成数の残り
39495226726119200267599518271703528991791699085099136251030921361387304573108606342764882281073234241749439701411654263315303104950950585751385864225736510717853841168002045645223968460116577<191>
factorization results 素因数分解の結果
Input number is 11998924360855035349034280900359188158163014308249130516620846760630355801846394121880001504117660232240208326528662267986874382474701215708779513758143921698821435715701239390748668164533471191301889842063181083993423445577 (224 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1094491159
Step 1 took 6412ms
Step 2 took 3448ms
********** Factor found in step 2: 303806949737544886307762479777001
Found probable prime factor of 33 digits: 303806949737544886307762479777001
Composite cofactor 39495226726119200267599518271703528991791699085099136251030921361387304573108606342764882281073234241749439701411654263315303104950950585751385864225736510717853841168002045645223968460116577 has 191 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 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 9, 2015 02:13:05 UTC 2015 年 9 月 9 日 (水) 11 時 13 分 5 秒 (日本時間)
403e62104KTakahashiSeptember 9, 2015 02:13:05 UTC 2015 年 9 月 9 日 (水) 11 時 13 分 5 秒 (日本時間)

2×10257+13

c238

composite cofactor 合成数の残り
6438871517399078543065028490799687676351744346456023855398983024968986916618163874743706368229108574393522954074464186090296421448586494976485468352486342577285682572851770941420026470069602396617572939945800557782337463147658320704649409<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 9, 2015 02:13:21 UTC 2015 年 9 月 9 日 (水) 11 時 13 分 21 秒 (日本時間)
403e6300Dmitry DomanovSeptember 11, 2015 06:13:56 UTC 2015 年 9 月 11 日 (金) 15 時 13 分 56 秒 (日本時間)
4511e6523 / 4372CypJuly 4, 2017 21:25:25 UTC 2017 年 7 月 5 日 (水) 6 時 25 分 25 秒 (日本時間)

2×10259+13

c249

composite cofactor 合成数の残り
289743803524034458559332618174378234729729535540691788158770412440799126116544046779713785021897572590567699896580279553239566712229391168634305195941078096658721855500934103070679675639414252760287258950813723019225556190623605749059827394233090607<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 9, 2015 02:15:11 UTC 2015 年 9 月 9 日 (水) 11 時 15 分 11 秒 (日本時間)
403e6300Dmitry DomanovSeptember 11, 2015 06:14:09 UTC 2015 年 9 月 11 日 (金) 15 時 14 分 9 秒 (日本時間)
4511e6523 / 4372CypJuly 4, 2017 16:18:45 UTC 2017 年 7 月 5 日 (水) 1 時 18 分 45 秒 (日本時間)

2×10260+13

c225

name 名前Seth Troisi
date 日付December 21, 2023 09:45:01 UTC 2023 年 12 月 21 日 (木) 18 時 45 分 1 秒 (日本時間)
composite number 合成数
525036884168878142155204165031619585011736592519703499872655810538000482076803411340108648059169783980753044088270340567396372565646313073724039249046742578978445030083018814122108303456138108054881726193000648658678210244241<225>
prime factors 素因数
19877832018005327276810856271840180682604448201<47>
26413186493039083685011296478241390120027615857839439962807855031824402272250186783675009498305883550021263487296275146953547838688184214465036636141087830404246189726357310268041<179>
factorization results 素因数分解の結果
Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Fri Nov 24 22:06:11 2023
Input number is 525036884168878142155204165031619585011736592519703499872655810538000482076803411340108648059169783980753044088270340567396372565646313073724039249046742578978445030083018814122108303456138108054881726193000648658678210244241 (225 digits)
Using mpz_mod
Using lmax = 67108864 with NTT which takes about 21504MB of memory
Using B1=10000000000-10000000000, B2=13494038602573560, polynomial x^1
P = 198843645, l = 67108864, s_1 = 33177600, k = s_2 = 2, m_1 = 20
Probability of finding a factor of n digits (assuming one exists):
20      25      30      35      40      45      50      55      60      65
0.82    0.56    0.31    0.14    0.057   0.02    0.0066  0.002   0.00053 0.00014
Step 1 took 0ms
Computing F from factored S_1 took 230362ms
Computing h took 28843ms
Computing DCT-I of h took 75461ms
Multi-point evaluation 1 of 2:
Computing g_i took 96236ms
Computing g*h took 147757ms
Computing gcd of coefficients and N took 28118ms
Multi-point evaluation 2 of 2:
Computing g_i took 96551ms
Computing g*h took 148415ms
Computing gcd of coefficients and N took 27425ms
Step 2 took 880639ms
********** Factor found in step 2: 19877832018005327276810856271840180682604448201
Found prime factor of 47 digits: 19877832018005327276810856271840180682604448201
Prime cofactor 26413186493039083685011296478241390120027615857839439962807855031824402272250186783675009498305883550021263487296275146953547838688184214465036636141087830404246189726357310268041 has 179 digits
software ソフトウェア
GMP-ECM 7.0.6, ecm-db 0.1
execution environment 実行環境
1080 Ti for PM1 stage1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 9, 2015 02:15:23 UTC 2015 年 9 月 9 日 (水) 11 時 15 分 23 秒 (日本時間)
403e6300Dmitry DomanovSeptember 11, 2015 06:14:22 UTC 2015 年 9 月 11 日 (金) 15 時 14 分 22 秒 (日本時間)
4511e6523 / 4372CypJuly 3, 2017 20:38:58 UTC 2017 年 7 月 4 日 (火) 5 時 38 分 58 秒 (日本時間)

2×10261+13

c221

composite cofactor 合成数の残り
19234565926536434138637783020167304338380546253134479796018185948190179270120755304441128488078045845268269553998545974363261493701484995831301166898239354927839051919547202944210016199788945593799155826701589269206002283<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 9, 2015 02:15:40 UTC 2015 年 9 月 9 日 (水) 11 時 15 分 40 秒 (日本時間)
403e62104KTakahashiSeptember 9, 2015 02:15:40 UTC 2015 年 9 月 9 日 (水) 11 時 15 分 40 秒 (日本時間)

2×10263+13

c238

name 名前KTakahashi
date 日付September 9, 2015 02:36:07 UTC 2015 年 9 月 9 日 (水) 11 時 36 分 7 秒 (日本時間)
composite number 合成数
1667420283841884698157553200123302340732247014824916997570444128602729940849232951096401686932342896607544898552448391748133937406646379868559153429328306497346575229062149741824986039545593111661506622835737563149459825060402507552109483<238>
prime factors 素因数
186151399620244644842156958291813569<36>
255669243816459447650688121977426840780590530727<48>
composite cofactor 合成数の残り
35034852018879874315777075176131690361468463345749844989725580324252169104427492340025939710674971321824719046017683276483333455122610015452047377680394141<155>
factorization results 素因数分解の結果
Input number is 1667420283841884698157553200123302340732247014824916997570444128602729940849232951096401686932342896607544898552448391748133937406646379868559153429328306497346575229062149741824986039545593111661506622835737563149459825060402507552109483 (238 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3526785662
Step 1 took 8315ms
Step 2 took 4586ms
********** Factor found in step 2: 186151399620244644842156958291813569
Found probable prime factor of 36 digits: 186151399620244644842156958291813569
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2554470374
Step 1 took 18579ms
Step 2 took 7894ms
********** Factor found in step 2: 255669243816459447650688121977426840780590530727
Found probable prime factor of 48 digits: 255669243816459447650688121977426840780590530727
Composite cofactor 35034852018879874315777075176131690361468463345749844989725580324252169104427492340025939710674971321824719046017683276483333455122610015452047377680394141 has 155 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 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 9, 2015 02:15:59 UTC 2015 年 9 月 9 日 (水) 11 時 15 分 59 秒 (日本時間)
403e62104KTakahashiSeptember 9, 2015 02:15:59 UTC 2015 年 9 月 9 日 (水) 11 時 15 分 59 秒 (日本時間)
4511e63974800Dmitry DomanovMarch 1, 2016 13:11:29 UTC 2016 年 3 月 1 日 (火) 22 時 11 分 29 秒 (日本時間)
3174Ben MeekinsApril 15, 2016 13:09:41 UTC 2016 年 4 月 15 日 (金) 22 時 9 分 41 秒 (日本時間)

2×10264+13

c244

composite cofactor 合成数の残り
5262140480289937725557101661022346444547568460543378536618067771200426114801010437178466727165347775192306834122265261590458552214525766544367945850209383051366450950573218820765812951938068792180499165017810691634437173651159778819606479673793<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 9, 2015 02:16:12 UTC 2015 年 9 月 9 日 (水) 11 時 16 分 12 秒 (日本時間)
403e6300Dmitry DomanovSeptember 11, 2015 06:14:48 UTC 2015 年 9 月 11 日 (金) 15 時 14 分 48 秒 (日本時間)
4511e6523 / 4372CypJuly 4, 2017 07:56:19 UTC 2017 年 7 月 4 日 (火) 16 時 56 分 19 秒 (日本時間)

2×10266+13

c264

composite cofactor 合成数の残り
995024875621890547263681592039800995024875621890547263681592039800995024875621890547263681592039800995024875621890547263681592039800995024875621890547263681592039800995024875621890547263681592039800995024875621890547263681592039800995024875621890547263681592039801<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovSeptember 8, 2015 19:11:11 UTC 2015 年 9 月 9 日 (水) 4 時 11 分 11 秒 (日本時間)

2×10267+13

c252

composite cofactor 合成数の残り
143502825124175246517912624567646204596720608851648262946803827767020866113863224712540993381664849616306884019255344741358236914012223487933466867400881687750382278888840455613143694332465682582811761910214912855299024606846626261939017266609461604589<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 9, 2015 02:17:12 UTC 2015 年 9 月 9 日 (水) 11 時 17 分 12 秒 (日本時間)
403e6300Dmitry DomanovSeptember 11, 2015 06:15:13 UTC 2015 年 9 月 11 日 (金) 15 時 15 分 13 秒 (日本時間)
4511e6523 / 4372CypJuly 4, 2017 07:23:08 UTC 2017 年 7 月 4 日 (火) 16 時 23 分 8 秒 (日本時間)

2×10268+13

c259

composite cofactor 合成数の残り
3506674563774931128214615890802374303211249733071713038292006587107924978630092891165719615472886543147565338933056381366164743659725012727909280198379677582064934383704327325253298338250096969326543723368315654027622481261102161256478063802908868221101895689<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 9, 2015 02:17:26 UTC 2015 年 9 月 9 日 (水) 11 時 17 分 26 秒 (日本時間)
403e6300Dmitry DomanovSeptember 11, 2015 06:15:26 UTC 2015 年 9 月 11 日 (金) 15 時 15 分 26 秒 (日本時間)
4511e6523 / 4372CypJuly 3, 2017 16:33:45 UTC 2017 年 7 月 4 日 (火) 1 時 33 分 45 秒 (日本時間)

2×10269+13

c214

composite cofactor 合成数の残り
1647523555282254683148271284066345455293975325059428792828107198416541789551260112532812110994322102975123579872502210410308787520051457301939798960245569347712451720748541588154924060939203705226367390411362498221<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 9, 2015 02:17:48 UTC 2015 年 9 月 9 日 (水) 11 時 17 分 48 秒 (日本時間)
403e62104KTakahashiSeptember 9, 2015 02:17:48 UTC 2015 年 9 月 9 日 (水) 11 時 17 分 48 秒 (日本時間)

2×10270+13

c217

composite cofactor 合成数の残り
1169725289398064501430624557069699400038031941659115933217283159797619425139734417525907064799771830534358708848612080294591802152391945862687956627265424822122911643759909208250965329489655939841584706538397180241873<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 9, 2015 02:18:03 UTC 2015 年 9 月 9 日 (水) 11 時 18 分 3 秒 (日本時間)
403e62104KTakahashiSeptember 9, 2015 02:18:03 UTC 2015 年 9 月 9 日 (水) 11 時 18 分 3 秒 (日本時間)

2×10271+13

c230

name 名前KTakahashi
date 日付September 9, 2015 02:19:38 UTC 2015 年 9 月 9 日 (水) 11 時 19 分 38 秒 (日本時間)
composite number 合成数
17638063046603581347526080476586075017481276465754995694796516352495556779391760279569367297849370111736471851038884884840991470688180181307342968599833433298123782260644726447149944150648961794390075054946625786295784687699312603<230>
prime factors 素因数
8059700961175055473491617621<28>
composite cofactor 合成数の残り
2188426485246675805662019412402103856836906755220784239889537765686624089662591300528994204807243102519659459039226602989418461026282832378138597537338120319348428083401151753128156487356934497230776943<202>
factorization results 素因数分解の結果
Input number is 17638063046603581347526080476586075017481276465754995694796516352495556779391760279569367297849370111736471851038884884840991470688180181307342968599833433298123782260644726447149944150648961794390075054946625786295784687699312603 (230 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1763765410
Step 1 took 7223ms
Step 2 took 3869ms
********** Factor found in step 2: 8059700961175055473491617621
Found probable prime factor of 28 digits: 8059700961175055473491617621
Composite cofactor 2188426485246675805662019412402103856836906755220784239889537765686624089662591300528994204807243102519659459039226602989418461026282832378138597537338120319348428083401151753128156487356934497230776943 has 202 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 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 9, 2015 02:18:29 UTC 2015 年 9 月 9 日 (水) 11 時 18 分 29 秒 (日本時間)
403e62104KTakahashiSeptember 9, 2015 02:18:29 UTC 2015 年 9 月 9 日 (水) 11 時 18 分 29 秒 (日本時間)

2×10272+13

c235

composite cofactor 合成数の残り
2991661881637411122078683469935655033135778107487868293290289410763610585258672632281966176689447862833842280530795918859714533825832338308052430571905958034238740175777777248730792122729013084285131852254860263220383249646426913988907<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 9, 2015 02:18:42 UTC 2015 年 9 月 9 日 (水) 11 時 18 分 42 秒 (日本時間)
403e6300Dmitry DomanovSeptember 11, 2015 06:15:52 UTC 2015 年 9 月 11 日 (金) 15 時 15 分 52 秒 (日本時間)
4511e6523 / 4372CypJuly 3, 2017 09:10:10 UTC 2017 年 7 月 3 日 (月) 18 時 10 分 10 秒 (日本時間)

2×10273+13

c203

name 名前KTakahashi
date 日付September 9, 2015 02:37:21 UTC 2015 年 9 月 9 日 (水) 11 時 37 分 21 秒 (日本時間)
composite number 合成数
59923302662966074856056188651085931138149419816072770531401011608162657542117218539101753707031688587121025336250407535718047510204343063424506805596024407308216448280897601580774078684576047476968936463<203>
prime factors 素因数
172416739596932977064151068251847714627<39>
347549215946500917783857805082807583491279957957135629426948560722730924176033432293732452448133553647615708378869843856513245140899955441006706899512833615485113669<165>
factorization results 素因数分解の結果
Input number is 59923302662966074856056188651085931138149419816072770531401011608162657542117218539101753707031688587121025336250407535718047510204343063424506805596024407308216448280897601580774078684576047476968936463 (203 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1235549039
Step 1 took 18689ms
Step 2 took 7925ms
********** Factor found in step 2: 172416739596932977064151068251847714627
Found probable prime factor of 39 digits: 172416739596932977064151068251847714627
Probable prime cofactor 347549215946500917783857805082807583491279957957135629426948560722730924176033432293732452448133553647615708378869843856513245140899955441006706899512833615485113669 has 165 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 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 9, 2015 02:21:11 UTC 2015 年 9 月 9 日 (水) 11 時 21 分 11 秒 (日本時間)

2×10274+13

c165

name 名前Serge Batalov
date 日付September 8, 2015 19:16:48 UTC 2015 年 9 月 9 日 (水) 4 時 16 分 48 秒 (日本時間)
composite number 合成数
521397153322349706050854828984849567517492440690756340716503309801758688528865364658578276494467927880987829334794590130473120560104867198914327542958397708620873969<165>
prime factors 素因数
24899796228966037030738031434363643<35>
composite cofactor 合成数の残り
20939816074310127013230100884238931813304764822689348588579749928068554100636340892999635948339422674643332315325144050444406241283<131>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2878774063
Step 1 took 12196ms
Step 2 took 10316ms
********** Factor found in step 2: 24899796228966037030738031434363643
Found probable prime factor of 35 digits: 24899796228966037030738031434363643
Composite cofactor 

c131

name 名前KTakahashi
date 日付September 9, 2015 13:55:16 UTC 2015 年 9 月 9 日 (水) 22 時 55 分 16 秒 (日本時間)
composite number 合成数
20939816074310127013230100884238931813304764822689348588579749928068554100636340892999635948339422674643332315325144050444406241283<131>
prime factors 素因数
79958210514380065030035516025720883204729<41>
261884501161318647272276398922569921948021487440699358676150425524033733629783186206318427<90>
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 20939816074310127013230100884238931813304764822689348588579749928068554100636340892999635948339422674643332315325144050444406241283 (131 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2834521311
Step 1 took 3323ms
Step 2 took 2215ms
********** Factor found in step 2: 79958210514380065030035516025720883204729
Found probable prime factor of 41 digits: 79958210514380065030035516025720883204729
Probable prime cofactor 261884501161318647272276398922569921948021487440699358676150425524033733629783186206318427 has 90 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovSeptember 8, 2015 19:11:01 UTC 2015 年 9 月 9 日 (水) 4 時 11 分 1 秒 (日本時間)

2×10275+13

c249

composite cofactor 合成数の残り
634861286838978881815868069703610184702311440478468307380905031188661327081909955581349133395233525672546616777914446355674452208671314453668464771730839326126500142124982350772454626372145145932191801936913746826629038436225314291488795211965306469<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 9, 2015 02:21:53 UTC 2015 年 9 月 9 日 (水) 11 時 21 分 53 秒 (日本時間)
403e6300Dmitry DomanovSeptember 11, 2015 06:16:08 UTC 2015 年 9 月 11 日 (金) 15 時 16 分 8 秒 (日本時間)
4511e6523CypJuly 3, 2017 08:44:44 UTC 2017 年 7 月 3 日 (月) 17 時 44 分 44 秒 (日本時間)
5043e60--
5511e73800 / 17734Erik BrangerSeptember 6, 2019 15:19:24 UTC 2019 年 9 月 7 日 (土) 0 時 19 分 24 秒 (日本時間)

2×10276+13

c227

composite cofactor 合成数の残り
25831927570151744356086395256704014763458565394559654868698632800440965641071641186669057768838487429229557777107897215866398938996558072009109308518755655812754749933040897666122174028647532167394989686523024662999733052249521<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 9, 2015 02:22:13 UTC 2015 年 9 月 9 日 (水) 11 時 22 分 13 秒 (日本時間)
403e6300Dmitry DomanovSeptember 11, 2015 06:16:21 UTC 2015 年 9 月 11 日 (金) 15 時 16 分 21 秒 (日本時間)
4511e6523 / 4372CypJuly 2, 2017 13:50:38 UTC 2017 年 7 月 2 日 (日) 22 時 50 分 38 秒 (日本時間)

2×10277+13

c241

name 名前KTakahashi
date 日付September 8, 2015 21:26:35 UTC 2015 年 9 月 9 日 (水) 6 時 26 分 35 秒 (日本時間)
composite number 合成数
5870769999728635802674260276865632440251170540165512457619330623430421832500955277707164769743518088844596550377054980564096049038895320372575470128782459665528412559139888258223958667299447654091069228982702590744632124147511503930698326629<241>
prime factors 素因数
523839486817029547085139863450679260509<39>
11207192560837287360574079747115152250383774482477461055858138155166813616686456282435399405188526005676522419254341580954662074302833432714656918153159643048561103501247894775135291413091389323986880681<203>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [P-1]
Input number is 5870769999728635802674260276865632440251170540165512457619330623430421832500955277707164769743518088844596550377054980564096049038895320372575470128782459665528412559139888258223958667299447654091069228982702590744632124147511503930698326629 (241 digits)
Using B1=80000000, B2=126300666438, polynomial x^1, x0=2270268000
Step 1 took 55115ms
Step 2 took 11622ms
********** Factor found in step 2: 523839486817029547085139863450679260509
Found probable prime factor of 39 digits: 523839486817029547085139863450679260509
Probable prime cofactor 11207192560837287360574079747115152250383774482477461055858138155166813616686456282435399405188526005676522419254341580954662074302833432714656918153159643048561103501247894775135291413091389323986880681 has 203 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)

2×10278+13

c275

composite cofactor 合成数の残り
15565413650867771811035878278465250214024437699431862401743326328897190442836018367188108023970737022336368588995252548836485329597634057125068098684722546501673281967468285469686356914935014398007627052688925208187407580356447972604871974472721612576854229901159623316989649<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovSeptember 8, 2015 19:11:16 UTC 2015 年 9 月 9 日 (水) 4 時 11 分 16 秒 (日本時間)

2×10279+13

c276

composite cofactor 合成数の残り
976085895558809175207418252806246949731576378721327476817959980478282088823816495851634943875061005368472425573450463640800390434358223523670082967301122498779892630551488530990727183992191312835529526598340653977550024402147388970229380185456320156173743289409468033186920449<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovSeptember 8, 2015 19:11:17 UTC 2015 年 9 月 9 日 (水) 4 時 11 分 17 秒 (日本時間)

2×10280+13

c258

composite cofactor 合成数の残り
403779557025542163714057684666958918206420423946265493140027723740764639802166808325990532184228094940826010718411936844842308294938010245158187533603124295063693799651910779267084129527507024049026449398182285217951666347758879812046358330414098147547018649<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 9, 2015 02:22:54 UTC 2015 年 9 月 9 日 (水) 11 時 22 分 54 秒 (日本時間)
403e6300Dmitry DomanovSeptember 11, 2015 06:16:37 UTC 2015 年 9 月 11 日 (金) 15 時 16 分 37 秒 (日本時間)
4511e6523 / 4372CypJuly 2, 2017 13:12:55 UTC 2017 年 7 月 2 日 (日) 22 時 12 分 55 秒 (日本時間)

2×10281+13

c239

composite cofactor 合成数の残り
74584204650279405484379622669160177402499345709602951054366843738751781449447290902752968807608560176820917846322509420039310785945379002506010655589967769636289456669024716399373318379427803193643299995883701501143818103091389387824440161<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 9, 2015 02:23:07 UTC 2015 年 9 月 9 日 (水) 11 時 23 分 7 秒 (日本時間)
403e6300Dmitry DomanovSeptember 11, 2015 06:16:48 UTC 2015 年 9 月 11 日 (金) 15 時 16 分 48 秒 (日本時間)
4511e6523 / 4372CypJuly 1, 2017 13:12:43 UTC 2017 年 7 月 1 日 (土) 22 時 12 分 43 秒 (日本時間)

2×10282+13

c260

composite cofactor 合成数の残り
72581524223840230064572316129897843679799037330182386439455172214822293742232548680071501666494052828346825368497112706581101227529756652778568328160380249710439517668988292864694152595954185125642029043762673937746573392654343767760611251886534790889575298491<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 9, 2015 02:23:24 UTC 2015 年 9 月 9 日 (水) 11 時 23 分 24 秒 (日本時間)
403e6300Dmitry DomanovSeptember 11, 2015 06:17:00 UTC 2015 年 9 月 11 日 (金) 15 時 17 分 0 秒 (日本時間)
4511e6523 / 4372CypJuly 1, 2017 13:53:47 UTC 2017 年 7 月 1 日 (土) 22 時 53 分 47 秒 (日本時間)

2×10283+13

c250

composite cofactor 合成数の残り
4133876279760413291836041047194926570615964064584558176835161199459808922062695638067146223048266147247587837275547142765782454739116461318978186482300927339255425921755464769366034238033598592474035746836005008695616356027939126458367203803134119767<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 9, 2015 02:23:38 UTC 2015 年 9 月 9 日 (水) 11 時 23 分 38 秒 (日本時間)
403e6300Dmitry DomanovSeptember 11, 2015 06:17:14 UTC 2015 年 9 月 11 日 (金) 15 時 17 分 14 秒 (日本時間)
4511e6523 / 4372CypJune 30, 2017 18:09:07 UTC 2017 年 7 月 1 日 (土) 3 時 9 分 7 秒 (日本時間)

2×10286+13

c278

composite cofactor 合成数の残り
56214800101590262447591890490039112655788883609288554681034090248471187215232160111623255110523314170635522902889104279643131472085474333723427506418303721049030118605386249741281922807449865259167247499061866335354623603926168684543293523332949189496839116274897714149669651057<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 9, 2015 02:24:11 UTC 2015 年 9 月 9 日 (水) 11 時 24 分 11 秒 (日本時間)
403e6600Dmitry DomanovSeptember 11, 2015 06:17:28 UTC 2015 年 9 月 11 日 (金) 15 時 17 分 28 秒 (日本時間)
4511e6436 / 4306CypJune 30, 2017 11:10:53 UTC 2017 年 6 月 30 日 (金) 20 時 10 分 53 秒 (日本時間)

2×10287+13

c265

composite cofactor 合成数の残り
3033838312508465580583734273349419437236799346843433557036270686432562497311327375766474626913731019965922104168185488267389792544181715186796817198298974220818476543715772934648497070496528472053685330924744820909052739446821207572265533471643449295514196597926701<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 9, 2015 02:24:24 UTC 2015 年 9 月 9 日 (水) 11 時 24 分 24 秒 (日本時間)
403e6600Dmitry DomanovSeptember 11, 2015 06:18:09 UTC 2015 年 9 月 11 日 (金) 15 時 18 分 9 秒 (日本時間)
4511e6436 / 4306CypJune 29, 2017 21:00:52 UTC 2017 年 6 月 30 日 (金) 6 時 0 分 52 秒 (日本時間)

2×10288+13

c277

name 名前Cyp
date 日付June 29, 2017 15:17:15 UTC 2017 年 6 月 30 日 (金) 0 時 17 分 15 秒 (日本時間)
composite number 合成数
1549496048255758638632978608576711864089333906620539052119971265230489668242570404968544642523673177070974676933183641662268930232815619437361547622819654951478225566428921274736056520387431636303468164031371946758311897531381332175574752389212886961404499045524667557777943937<277>
prime factors 素因数
11523732304418772680954998252120722757249<41>
composite cofactor 合成数の残り
134461301887549462703731177645657303727171715404867864190515285816132756888041837428252624337072048992965235454517111390868532857926238104492780535298562487663701958488007459027772407005444340975558086434377544913458043258784431801325313<237>
factorization results 素因数分解の結果
Run 195 out of 436:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1413680652
Step 1 took 156295ms
Step 2 took 41447ms
********** Factor found in step 2: 11523732304418772680954998252120722757249
Found probable prime factor of 41 digits: 11523732304418772680954998252120722757249
Composite cofactor 134461301887549462703731177645657303727171715404867864190515285816132756888041837428252624337072048992965235454517111390868532857926238104492780535298562487663701958488007459027772407005444340975558086434377544913458043258784431801325313 has 237 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 9, 2015 02:24:44 UTC 2015 年 9 月 9 日 (水) 11 時 24 分 44 秒 (日本時間)
403e6600Dmitry DomanovSeptember 11, 2015 06:18:22 UTC 2015 年 9 月 11 日 (金) 15 時 18 分 22 秒 (日本時間)
4511e6436 / 4306CypJune 29, 2017 15:17:15 UTC 2017 年 6 月 30 日 (金) 0 時 17 分 15 秒 (日本時間)

2×10289+13

c284

name 名前Serge Batalov
date 日付September 8, 2015 19:35:10 UTC 2015 年 9 月 9 日 (水) 4 時 35 分 10 秒 (日本時間)
composite number 合成数
47981306482994225449764771644967120809732528207010548690230286280465130785046146021510019696326311269129547128438760259003092395202828977830237339532518130936187261442941829863085341950775977679096224111086320769428230761295399312427878098692749304870822327621158796532870793538837269<284>
prime factors 素因数
282159682196330532927865841767<30>
170050186155257226925214377603077471669029127008318155821049617456137062592943365804148434145169888589600083127889343587541553857357221699113321106435509492666125747586430321920939367220265546433146780373093462737286721831560190297507704937409347388924707<255>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3326837924
Step 1 took 29471ms
Step 2 took 19492ms
********** Factor found in step 2: 282159682196330532927865841767
Found probable prime factor of 30 digits: 282159682196330532927865841767
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovSeptember 8, 2015 19:11:21 UTC 2015 年 9 月 9 日 (水) 4 時 11 分 21 秒 (日本時間)

2×10290+13

c260

composite cofactor 合成数の残り
49884333199903519640548861535651419041749228803647424114051054142394389877185849839882933484970004779551923807988209699305824262218184607819294037000297308402139614706455634570872481323741381211520866015676799059885954563657173527767550332501331839093982156289<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 9, 2015 02:25:32 UTC 2015 年 9 月 9 日 (水) 11 時 25 分 32 秒 (日本時間)
403e6300Dmitry DomanovSeptember 11, 2015 06:18:35 UTC 2015 年 9 月 11 日 (金) 15 時 18 分 35 秒 (日本時間)
4511e6523 / 4372CypJune 29, 2017 14:41:51 UTC 2017 年 6 月 29 日 (木) 23 時 41 分 51 秒 (日本時間)

2×10291+13

c288

composite cofactor 合成数の残り
313136057617034601534366682323469547518396743385000782840144042586503835916705808673868795991858462501957100360106466259589791764521684671989979646156254892750900266165648974479411304211679974949115390637231877250665414122436198528260529199937372788476593079693126663535306090496320651323<288>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovSeptember 8, 2015 19:11:23 UTC 2015 年 9 月 9 日 (水) 4 時 11 分 23 秒 (日本時間)

2×10293+13

c291

name 名前Serge Batalov
date 日付September 8, 2015 23:31:51 UTC 2015 年 9 月 9 日 (水) 8 時 31 分 51 秒 (日本時間)
composite number 合成数
247831474597273853779429987608426270136307311028500619578686493184634448574969021065675340768277571251548946716232961586121437422552664188351920693928128872366790582403965303593556381660470879801734820322180916976456009913258983890954151177199504337050805452292441140024783147459727385377943<291>
prime factors 素因数
11539990978426230666012793993749329903<38>
composite cofactor 合成数の残り
21475881138953189800176841064426295705143686028654432660603914379717433841732268921455459210504718434315426660119274771200872556130801573643358186191204633866527769857993133531488105463377878626973635913066225165705082625396685166138490194361768911838681<254>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3919226798
Step 1 took 31997ms
Step 2 took 20423ms
********** Factor found in step 2: 11539990978426230666012793993749329903
Found probable prime factor of 38 digits: 11539990978426230666012793993749329903
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovSeptember 8, 2015 19:11:24 UTC 2015 年 9 月 9 日 (水) 4 時 11 分 24 秒 (日本時間)

2×10295+13

c257

composite cofactor 合成数の残り
54869172825555230596736918631609163742419658709594529456711910777006462056474014653818239220407071795452111023379648225768035133806766191483742920529934222956755164292163053125309972962556291427138018800019369893598384808293318612747518982254360428451547127<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 9, 2015 02:26:06 UTC 2015 年 9 月 9 日 (水) 11 時 26 分 6 秒 (日本時間)
403e6300Dmitry DomanovSeptember 11, 2015 06:18:57 UTC 2015 年 9 月 11 日 (金) 15 時 18 分 57 秒 (日本時間)
4511e6523 / 4372CypJune 28, 2017 09:35:48 UTC 2017 年 6 月 28 日 (水) 18 時 35 分 48 秒 (日本時間)

2×10296+13

c251

name 名前KTakahashi
date 日付September 9, 2015 02:27:10 UTC 2015 年 9 月 9 日 (水) 11 時 27 分 10 秒 (日本時間)
composite number 合成数
92370329282363663983683457176770203255270921784470112597804808884711536428985817734485841553841889292464612451809266561277605013877532478610334710816365576637007070237983915449577487927272303688963549611571103037449508794603940760919005527692713285483<251>
prime factors 素因数
43753097202611967777839511487358329<35>
composite cofactor 合成数の残り
2111172355516110750157587341011053507343149306021910375777290217566701944713921328803849055559663990604952132157092350784553786045907495448525344154673584803241840721936090163745569359879548293510451168525449268551427<217>
factorization results 素因数分解の結果
Input number is 92370329282363663983683457176770203255270921784470112597804808884711536428985817734485841553841889292464612451809266561277605013877532478610334710816365576637007070237983915449577487927272303688963549611571103037449508794603940760919005527692713285483 (251 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1504480321
Step 1 took 8393ms
Step 2 took 4009ms
********** Factor found in step 2: 43753097202611967777839511487358329
Found probable prime factor of 35 digits: 43753097202611967777839511487358329
Composite cofactor 2111172355516110750157587341011053507343149306021910375777290217566701944713921328803849055559663990604952132157092350784553786045907495448525344154673584803241840721936090163745569359879548293510451168525449268551427 has 217 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 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 9, 2015 02:26:20 UTC 2015 年 9 月 9 日 (水) 11 時 26 分 20 秒 (日本時間)
403e60--
4511e6610 / 4439CypJune 27, 2017 21:17:28 UTC 2017 年 6 月 28 日 (水) 6 時 17 分 28 秒 (日本時間)

2×10297+13

c295

composite cofactor 合成数の残り
6230529595015576323987538940809968847352024922118380062305295950155763239875389408099688473520249221183800623052959501557632398753894080996884735202492211838006230529595015576323987538940809968847352024922118380062305295950155763239875389408099688473520249221183800623052959501557632398753894081<295>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovSeptember 8, 2015 19:11:25 UTC 2015 年 9 月 9 日 (水) 4 時 11 分 25 秒 (日本時間)

2×10298+13

c277

name 名前KTakahashi
date 日付September 9, 2015 02:28:59 UTC 2015 年 9 月 9 日 (水) 11 時 28 分 59 秒 (日本時間)
composite number 合成数
6967642176128318253864425357716481241153261095107129168685410325080510208961092764149750678507654109663866272811294457277947543363296967806028769210723050947703933384389761851257310363648360563447908840027876526564524249778299698505433477114292246166308728806907707293673921329<277>
prime factors 素因数
104435078845651541392502505299<30>
composite cofactor 合成数の残り
66717450239359266061664422694557493593217342122106981790825900757872331411048960037452744764145186935524404959040898309962067311711176461687887837432577167956089440608347471584871942095469504924168309634761002621862901948608140923174871712655924971<248>
factorization results 素因数分解の結果
Input number is 6967642176128318253864425357716481241153261095107129168685410325080510208961092764149750678507654109663866272811294457277947543363296967806028769210723050947703933384389761851257310363648360563447908840027876526564524249778299698505433477114292246166308728806907707293673921329 (277 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2946014956
Step 1 took 9142ms
Step 2 took 4524ms
********** Factor found in step 2: 104435078845651541392502505299
Found probable prime factor of 30 digits: 104435078845651541392502505299
Composite cofactor 66717450239359266061664422694557493593217342122106981790825900757872331411048960037452744764145186935524404959040898309962067311711176461687887837432577167956089440608347471584871942095469504924168309634761002621862901948608140923174871712655924971 has 248 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 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 9, 2015 02:27:54 UTC 2015 年 9 月 9 日 (水) 11 時 27 分 54 秒 (日本時間)
403e6300Dmitry DomanovSeptember 11, 2015 06:19:41 UTC 2015 年 9 月 11 日 (金) 15 時 19 分 41 秒 (日本時間)
4511e6523 / 4372CypJune 27, 2017 17:28:48 UTC 2017 年 6 月 28 日 (水) 2 時 28 分 48 秒 (日本時間)

2×10299+13

c289

name 名前Dmitry Domanov
date 日付September 11, 2015 13:29:34 UTC 2015 年 9 月 11 日 (金) 22 時 29 分 34 秒 (日本時間)
composite number 合成数
5797595409949816087471056327812024042935321666706455998784808000711187086573665173575134999414398077170526712836147596980853223777800836302772636750143779286364610335816035905445497141275317980630659684692433464747147307288432021959524769616583431382187189467736194672635222265776532124903<289>
prime factors 素因数
787481780406749620976295613268198363<36>
7362196249105910175590503341061134486761028805503625217450400668874963167320662562825073114655370774181068234761620164558246789169607776013425874701128066982862651208173479837341479759838988353566631250626765611444293758550385006781637622046797238052581<253>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4013275381
Step 1 took 46266ms
Step 2 took 13550ms
********** Factor found in step 2: 787481780406749620976295613268198363
Found probable prime factor of 36 digits: 787481780406749620976295613268198363

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 9, 2015 02:28:08 UTC 2015 年 9 月 9 日 (水) 11 時 28 分 8 秒 (日本時間)
403e6600 / 2104Dmitry DomanovSeptember 11, 2015 06:19:55 UTC 2015 年 9 月 11 日 (金) 15 時 19 分 55 秒 (日本時間)

2×10300+13

c300

name 名前Serge Batalov
date 日付September 9, 2015 00:48:18 UTC 2015 年 9 月 9 日 (水) 9 時 48 分 18 秒 (日本時間)
composite number 合成数
666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<300>
prime factors 素因数
43701341131537954078133351732844338545555627<44>
composite cofactor 合成数の残り
15255061959312576408205185229656562417755428166629594346670415087377658880143876194360809343188457656976636081661339082091756196260837848562656302960229872531799511944917694257326637342278877809096490087744120377923893577369727250170836849226202683530155521<257>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2482934679
Step 1 took 118673ms
Step 2 took 53112ms
********** Factor found in step 2: 43701341131537954078133351732844338545555627
Found probable prime factor of 44 digits: 43701341131537954078133351732844338545555627
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 8, 2015 11:00:00 UTC 2015 年 9 月 8 日 (火) 20 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovSeptember 8, 2015 19:11:27 UTC 2015 年 9 月 9 日 (水) 4 時 11 分 27 秒 (日本時間)
4511e640003000Serge BatalovSeptember 8, 2015 22:39:56 UTC 2015 年 9 月 9 日 (水) 7 時 39 分 56 秒 (日本時間)
1000Serge BatalovSeptember 8, 2015 23:40:45 UTC 2015 年 9 月 9 日 (水) 8 時 40 分 45 秒 (日本時間)