Table of contents 目次

4×10109+3

c96

name 名前Jo Yeong Uk
date 日付May 25, 2007 13:52:43 UTC 2007 年 5 月 25 日 (金) 22 時 52 分 43 秒 (日本時間)
composite number 合成数
128202944905953414864392618133593516660075229232730226022631615760351226868770194151050202748479<96>
prime factors 素因数
8789691551616868774948328182836667117193493269<46>
14585602253855018384156891160085996096225659769091<50>
factorization results 素因数分解の結果
Number: 40003_109
N=128202944905953414864392618133593516660075229232730226022631615760351226868770194151050202748479
  ( 96 digits)
SNFS difficulty: 110 digits.
Divisors found:
 r1=8789691551616868774948328182836667117193493269 (pp46)
 r2=14585602253855018384156891160085996096225659769091 (pp50)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.62 hours.
Scaled time: 0.58 units (timescale=0.931).
Factorization parameters were as follows:
n: 128202944905953414864392618133593516660075229232730226022631615760351226868770194151050202748479
m: 10000000000000000000000
c5: 2
c0: 15
skew: 1.5
type: snfs
Factor base limits: 360000/360000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [180000, 300001)
Primes: RFBsize:30757, AFBsize:30809, largePrimes:1049595 encountered
Relations: rels:976872, finalFF:96164
Max relations in full relation-set: 28
Initial matrix: 61631 x 96164 with sparse part having weight 4380179.
Pruned matrix : 51415 x 51787 with weight 1652064.
Total sieving time: 0.59 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,110,5,0,0,0,0,0,0,0,0,360000,360000,25,25,44,44,2.2,2.2,20000
total time: 0.62 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.. 4815.35 BogoMIPS (lpj=2407676)
Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148)
Total of 4 processors activated (19246.21 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

4×10113+3

c92

name 名前Jo Yeong Uk
date 日付May 25, 2007 15:23:08 UTC 2007 年 5 月 26 日 (土) 0 時 23 分 8 秒 (日本時間)
composite number 合成数
11309384315004623424899180326922060659645124717317858332549892278146483153678074568773937459<92>
prime factors 素因数
213150967517384807318120724304052423803<39>
53058095146024700376361296298594029717899946692445353<53>
factorization results 素因数分解の結果
Number: 40003_113
N=11309384315004623424899180326922060659645124717317858332549892278146483153678074568773937459
  ( 92 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=213150967517384807318120724304052423803 (pp39)
 r2=53058095146024700376361296298594029717899946692445353 (pp53)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.67 hours.
Scaled time: 0.63 units (timescale=0.935).
Factorization parameters were as follows:
n: 11309384315004623424899180326922060659645124717317858332549892278146483153678074568773937459
m: 20000000000000000000000
c5: 125
c0: 3
skew: 1
type: snfs
Factor base limits: 360000/360000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [180000, 300001)
Primes: RFBsize:30757, AFBsize:30524, largePrimes:966239 encountered
Relations: rels:870153, finalFF:70742
Max relations in full relation-set: 28
Initial matrix: 61346 x 70742 with sparse part having weight 3221294.
Pruned matrix : 57493 x 57863 with weight 2097058.
Total sieving time: 0.65 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,113,5,0,0,0,0,0,0,0,0,360000,360000,25,25,44,44,2.2,2.2,20000
total time: 0.67 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.. 4815.35 BogoMIPS (lpj=2407676)
Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148)
Total of 4 processors activated (19246.21 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

4×10118+3

c119

name 名前Jo Yeong Uk
date 日付May 25, 2007 11:09:37 UTC 2007 年 5 月 25 日 (金) 20 時 9 分 37 秒 (日本時間)
composite number 合成数
40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003<119>
prime factors 素因数
211621276763532507670415744223334748617<39>
189016910831212661627315911618686407924531685546937547055501093534558399895914859<81>
factorization results 素因数分解の結果
Number: 40003_118
N=40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003
  ( 119 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=211621276763532507670415744223334748617 (pp39)
 r2=189016910831212661627315911618686407924531685546937547055501093534558399895914859 (pp81)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.96 hours.
Scaled time: 0.90 units (timescale=0.935).
Factorization parameters were as follows:
n: 40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003
m: 200000000000000000000000
c5: 125
c0: 3
skew: 1
type: snfs
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [300000, 420001)
Primes: RFBsize:49098, AFBsize:48756, largePrimes:1908722 encountered
Relations: rels:1884500, finalFF:138422
Max relations in full relation-set: 28
Initial matrix: 97919 x 138422 with sparse part having weight 11276802.
Pruned matrix : 86646 x 87199 with weight 5081607.
Total sieving time: 0.90 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,118,5,0,0,0,0,0,0,0,0,600000,600000,25,25,46,46,2.4,2.4,30000
total time: 0.96 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.. 4815.35 BogoMIPS (lpj=2407676)
Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148)
Total of 4 processors activated (19246.21 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

4×10120+3

c120

name 名前Jo Yeong Uk
date 日付May 26, 2007 02:13:48 UTC 2007 年 5 月 26 日 (土) 11 時 13 分 48 秒 (日本時間)
composite number 合成数
571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571429<120>
prime factors 素因数
5612274364620889506308759859628576707925837<43>
101817647232428482152474928700295254049026878546996061124502636639930949090617<78>
factorization results 素因数分解の結果
Number: 40003_120
N=571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571429
  ( 120 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=5612274364620889506308759859628576707925837 (pp43)
 r2=101817647232428482152474928700295254049026878546996061124502636639930949090617 (pp78)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.81 hours.
Scaled time: 0.76 units (timescale=0.927).
Factorization parameters were as follows:
n: 571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571429
m: 1000000000000000000000000
c5: 4
c0: 3
skew: 1
type: snfs
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [300000, 420001)
Primes: RFBsize:49098, AFBsize:49031, largePrimes:1870291 encountered
Relations: rels:1811935, finalFF:113613
Max relations in full relation-set: 28
Initial matrix: 98196 x 113613 with sparse part having weight 9031756.
Pruned matrix : 93407 x 93961 with weight 6170340.
Total sieving time: 0.75 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,120,5,0,0,0,0,0,0,0,0,600000,600000,25,25,46,46,2.4,2.4,30000
total time: 0.81 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.. 4815.35 BogoMIPS (lpj=2407676)
Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148)
Total of 4 processors activated (19246.21 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

4×10121+3

c98

name 名前Jo Yeong Uk
date 日付May 26, 2007 05:17:05 UTC 2007 年 5 月 26 日 (土) 14 時 17 分 5 秒 (日本時間)
composite number 合成数
33608501683390235777263910364754662400497207736229051883674130597789461249450276268990816255932401<98>
prime factors 素因数
34585230048100307623332840382749782681057<41>
971758800986673748132478129675100273134597913849135461393<57>
factorization results 素因数分解の結果
Number: 40003_121
N=33608501683390235777263910364754662400497207736229051883674130597789461249450276268990816255932401
  ( 98 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=34585230048100307623332840382749782681057 (pp41)
 r2=971758800986673748132478129675100273134597913849135461393 (pp57)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.97 hours.
Scaled time: 0.91 units (timescale=0.929).
Factorization parameters were as follows:
n: 33608501683390235777263910364754662400497207736229051883674130597789461249450276268990816255932401
m: 2000000000000000000000000
c5: 5
c0: 12
skew: 1.19
type: snfs
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [300000, 450001)
Primes: RFBsize:49098, AFBsize:49316, largePrimes:1946453 encountered
Relations: rels:1937498, finalFF:144532
Max relations in full relation-set: 28
Initial matrix: 98480 x 144532 with sparse part having weight 12447254.
Pruned matrix : 87105 x 87661 with weight 5405410.
Total sieving time: 0.92 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,122,5,0,0,0,0,0,0,0,0,600000,600000,25,25,46,46,2.4,2.4,30000
total time: 0.97 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.. 4815.35 BogoMIPS (lpj=2407676)
Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148)
Total of 4 processors activated (19246.21 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

4×10122+3

c118

name 名前Jo Yeong Uk
date 日付May 26, 2007 09:03:27 UTC 2007 年 5 月 26 日 (土) 18 時 3 分 27 秒 (日本時間)
composite number 合成数
1321645580912794520457421535553918183530313593455211083319841534694848555936997155157887085209794715400144720191109951<118>
prime factors 素因数
140302808583575220937569935644682059<36>
9419950992110895877545261702594558645655155927342812397620420321479963685240471389<82>
factorization results 素因数分解の結果
Number: 40003_122
N=1321645580912794520457421535553918183530313593455211083319841534694848555936997155157887085209794715400144720191109951
  ( 118 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=140302808583575220937569935644682059 (pp36)
 r2=9419950992110895877545261702594558645655155927342812397620420321479963685240471389 (pp82)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.17 hours.
Scaled time: 1.08 units (timescale=0.927).
Factorization parameters were as follows:
n: 1321645580912794520457421535553918183530313593455211083319841534694848555936997155157887085209794715400144720191109951
m: 2000000000000000000000000
c5: 25
c0: 6
skew: 1
type: snfs
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [300000, 480001)
Primes: RFBsize:49098, AFBsize:49121, largePrimes:2076587 encountered
Relations: rels:2174816, finalFF:224976
Max relations in full relation-set: 28
Initial matrix: 98283 x 224976 with sparse part having weight 21075220.
Pruned matrix : 75996 x 76551 with weight 4950199.
Total sieving time: 1.11 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,122,5,0,0,0,0,0,0,0,0,600000,600000,25,25,46,46,2.4,2.4,30000
total time: 1.17 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.. 4815.35 BogoMIPS (lpj=2407676)
Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148)
Total of 4 processors activated (19246.21 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

4×10127+3

c112

name 名前Jo Yeong Uk
date 日付May 27, 2007 00:21:54 UTC 2007 年 5 月 27 日 (日) 9 時 21 分 54 秒 (日本時間)
composite number 合成数
1911230501381351344749672587619391998018934950167832705841037082931427635475944060798992580228159562795706952583<112>
prime factors 素因数
521293731281094645703485420673506602610925860757394203<54>
3666321666068084664903157915264085011548958113765261075461<58>
factorization results 素因数分解の結果
Number: 40003_127
N=1911230501381351344749672587619391998018934950167832705841037082931427635475944060798992580228159562795706952583
  ( 112 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=521293731281094645703485420673506602610925860757394203 (pp54)
 r2=3666321666068084664903157915264085011548958113765261075461 (pp58)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.62 hours.
Scaled time: 1.51 units (timescale=0.931).
Factorization parameters were as follows:
n: 1911230501381351344749672587619391998018934950167832705841037082931427635475944060798992580228159562795706952583
m: 20000000000000000000000000
c5: 25
c0: 6
skew: 1
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [500000, 800001)
Primes: RFBsize:78498, AFBsize:78301, largePrimes:1453042 encountered
Relations: rels:1464297, finalFF:189090
Max relations in full relation-set: 28
Initial matrix: 156863 x 189090 with sparse part having weight 8244070.
Pruned matrix : 135788 x 136636 with weight 4723501.
Total sieving time: 1.55 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,127,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,44,44,2.2,2.2,50000
total time: 1.62 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.. 4815.35 BogoMIPS (lpj=2407676)
Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148)
Total of 4 processors activated (19246.21 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

4×10129+3

c130

name 名前Jo Yeong Uk
date 日付May 25, 2007 13:03:44 UTC 2007 年 5 月 25 日 (金) 22 時 3 分 44 秒 (日本時間)
composite number 合成数
4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003<130>
prime factors 素因数
2125328766779684187720000305302944444700439100557051<52>
1882061760289836591422460816044047312356413460440607394774696364308476485811353<79>
factorization results 素因数分解の結果
Number: 40003_129
N=4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003
  ( 130 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=2125328766779684187720000305302944444700439100557051 (pp52)
 r2=1882061760289836591422460816044047312356413460440607394774696364308476485811353 (pp79)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.58 hours.
Scaled time: 2.37 units (timescale=0.920).
Factorization parameters were as follows:
n: 4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003
m: 100000000000000000000000000
c5: 2
c0: 15
skew: 1.5
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [500000, 1000001)
Primes: RFBsize:78498, AFBsize:78671, largePrimes:1535768 encountered
Relations: rels:1549847, finalFF:192091
Max relations in full relation-set: 28
Initial matrix: 157234 x 192091 with sparse part having weight 9975542.
Pruned matrix : 143749 x 144599 with weight 5929322.
Total sieving time: 2.49 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,130,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,44,44,2.2,2.2,50000
total time: 2.58 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.. 4815.35 BogoMIPS (lpj=2407676)
Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148)
Total of 4 processors activated (19246.21 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

4×10131+3

c120

name 名前Jo Yeong Uk
date 日付May 27, 2007 02:48:41 UTC 2007 年 5 月 27 日 (日) 11 時 48 分 41 秒 (日本時間)
composite number 合成数
564845176629818951808827035744745452246841772623803650887282390890456141189641461532135200682772613833908993808376037997<120>
prime factors 素因数
17745113024976168939376435372018500870859981957<47>
31831027271271917917211409577687106292138046864406391959013403689139371721<74>
factorization results 素因数分解の結果
Number: 40003_131
N=564845176629818951808827035744745452246841772623803650887282390890456141189641461532135200682772613833908993808376037997
  ( 120 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=17745113024976168939376435372018500870859981957 (pp47)
 r2=31831027271271917917211409577687106292138046864406391959013403689139371721 (pp74)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.30 hours.
Scaled time: 2.15 units (timescale=0.935).
Factorization parameters were as follows:
n: 564845176629818951808827035744745452246841772623803650887282390890456141189641461532135200682772613833908993808376037997
m: 200000000000000000000000000
c5: 5
c0: 12
skew: 1.19
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [500000, 950001)
Primes: RFBsize:78498, AFBsize:78441, largePrimes:1508956 encountered
Relations: rels:1522496, finalFF:190629
Max relations in full relation-set: 28
Initial matrix: 157005 x 190629 with sparse part having weight 9748353.
Pruned matrix : 142097 x 142946 with weight 5737145.
Total sieving time: 2.22 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,132,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,44,44,2.2,2.2,50000
total time: 2.30 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.. 4815.35 BogoMIPS (lpj=2407676)
Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148)
Total of 4 processors activated (19246.21 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

4×10132+3

c107

name 名前Jo Yeong Uk
date 日付May 27, 2007 05:25:02 UTC 2007 年 5 月 27 日 (日) 14 時 25 分 2 秒 (日本時間)
composite number 合成数
20537509985512737778662764382555381457009554393279769385933028106871931241847355158296348401924213969431227<107>
prime factors 素因数
1112013696695243458462948812197952325199534586937<49>
18468756317073684462309916330756661620043623970152551745171<59>
factorization results 素因数分解の結果
Number: 40003_132
N=20537509985512737778662764382555381457009554393279769385933028106871931241847355158296348401924213969431227
  ( 107 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=1112013696695243458462948812197952325199534586937 (pp49)
 r2=18468756317073684462309916330756661620043623970152551745171 (pp59)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.52 hours.
Scaled time: 2.35 units (timescale=0.934).
Factorization parameters were as follows:
n: 20537509985512737778662764382555381457009554393279769385933028106871931241847355158296348401924213969431227
m: 200000000000000000000000000
c5: 25
c0: 6
skew: 1
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [500000, 1000001)
Primes: RFBsize:78498, AFBsize:78301, largePrimes:1515396 encountered
Relations: rels:1524246, finalFF:186816
Max relations in full relation-set: 28
Initial matrix: 156863 x 186816 with sparse part having weight 9456577.
Pruned matrix : 145417 x 146265 with weight 5828837.
Total sieving time: 2.43 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,132,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,44,44,2.2,2.2,50000
total time: 2.52 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.. 4815.35 BogoMIPS (lpj=2407676)
Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148)
Total of 4 processors activated (19246.21 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

4×10135+3

c129

name 名前suberi
date 日付May 26, 2007 03:13:10 UTC 2007 年 5 月 26 日 (土) 12 時 13 分 10 秒 (日本時間)
composite number 合成数
353091042848215958955990997237680499037694499097543430860316035903356509935143354522032572119066183649889751735508680169515478761<129>
prime factors 素因数
167209353214438072108071764699<30>
2111670406352169953615950969505952926778362473341224768552933956228839776053527035084886239827494539<100>
factorization results 素因数分解の結果
Input number is 353091042848215958955990997237680499037694499097543430860316035903356509935143354522032572119066183649889751735508680169515478761 (129 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1914283015
Step 1 took 18343ms
Step 2 took 13328ms
********** Factor found in step 2: 167209353214438072108071764699
Found probable prime factor of 30 digits: 167209353214438072108071764699
Probable prime cofactor 2111670406352169953615950969505952926778362473341224768552933956228839776053527035084886239827494539 has 100 digits
software ソフトウェア
GMP-ECM 6.1.2
execution environment 実行環境
Pentium 4 2.4GHz, Windows 2000

4×10138+3

c135

name 名前Jo Yeong Uk
date 日付May 27, 2007 22:37:35 UTC 2007 年 5 月 28 日 (月) 7 時 37 分 35 秒 (日本時間)
composite number 合成数
553173834877610289033328723551376019914258055593970405199834047849536716913290001382934587194025722583321808878440049785645138984926013<135>
prime factors 素因数
930729119481891694801482963283168394796716926087<48>
594344609294641138185135993021839496344619029158623927721993187831394871362972952598299<87>
factorization results 素因数分解の結果
Number: 40003_138
N=553173834877610289033328723551376019914258055593970405199834047849536716913290001382934587194025722583321808878440049785645138984926013
  ( 135 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=930729119481891694801482963283168394796716926087 (pp48)
 r2=594344609294641138185135993021839496344619029158623927721993187831394871362972952598299 (pp87)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 4.68 hours.
Scaled time: 4.37 units (timescale=0.934).
Factorization parameters were as follows:
n: 553173834877610289033328723551376019914258055593970405199834047849536716913290001382934587194025722583321808878440049785645138984926013
m: 2000000000000000000000000000
c5: 125
c0: 3
skew: 1
type: snfs
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [700000, 1550001)
Primes: RFBsize:107126, AFBsize:107023, largePrimes:1652918 encountered
Relations: rels:1714233, finalFF:241604
Max relations in full relation-set: 28
Initial matrix: 214214 x 241604 with sparse part having weight 12448402.
Pruned matrix : 201680 x 202815 with weight 8746891.
Total sieving time: 4.51 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,138,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,44,44,2.3,2.3,50000
total time: 4.68 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.. 4815.35 BogoMIPS (lpj=2407676)
Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148)
Total of 4 processors activated (19246.21 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

4×10139+3

c104

name 名前Jo Yeong Uk
date 日付May 28, 2007 12:04:03 UTC 2007 年 5 月 28 日 (月) 21 時 4 分 3 秒 (日本時間)
composite number 合成数
10873704174143929896811554488954462461135888027735618494324499305001323585745628849144582691257986153007<104>
prime factors 素因数
2443464119454710007355153216679458364521<40>
4450118210277028673112750346091921480847013205495714394729918167<64>
factorization results 素因数分解の結果
Number: 40003_139
N=10873704174143929896811554488954462461135888027735618494324499305001323585745628849144582691257986153007
  ( 104 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=2443464119454710007355153216679458364521 (pp40)
 r2=4450118210277028673112750346091921480847013205495714394729918167 (pp64)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 8.54 hours.
Scaled time: 7.97 units (timescale=0.934).
Factorization parameters were as follows:
n: 10873704174143929896811554488954462461135888027735618494324499305001323585745628849144582691257986153007
m: 10000000000000000000000000000
c5: 2
c0: 15
skew: 1.5
type: snfs
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [700000, 1250001)
Primes: RFBsize:107126, AFBsize:107113, largePrimes:1679573 encountered
Relations: rels:1762335, finalFF:255346
Max relations in full relation-set: 28
Initial matrix: 214304 x 255346 with sparse part having weight 13522951.
Pruned matrix : 192825 x 193960 with weight 8429277.
Total sieving time: 8.39 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,44,44,2.3,2.3,50000
total time: 8.54 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.. 4815.35 BogoMIPS (lpj=2407676)
Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148)
Total of 4 processors activated (19246.21 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

4×10142+3

c112

name 名前Robert Backstrom
date 日付May 28, 2007 23:12:30 UTC 2007 年 5 月 29 日 (火) 8 時 12 分 30 秒 (日本時間)
composite number 合成数
2954138935487585358037504212441582467115017534237517833386470674579036800877959937028708758566992431307387312823<112>
prime factors 素因数
361944429343387970109181659326070203309043443208301<51>
8161857721768944819535587526816743204330570033059102272751923<61>
factorization results 素因数分解の結果
Number: n
N=2954138935487585358037504212441582467115017534237517833386470674579036800877959937028708758566992431307387312823
  ( 112 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=361944429343387970109181659326070203309043443208301 (pp51)
 r2=8161857721768944819535587526816743204330570033059102272751923 (pp61)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 6.94 hours.
Scaled time: 10.04 units (timescale=1.447).
Factorization parameters were as follows:
name: KA_4_0_141_3
n: 2954138935487585358037504212441582467115017534237517833386470674579036800877959937028708758566992431307387312823
skew: 0.75
deg: 5
c5: 25
c0: 6
m: 20000000000000000000000000000
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, 800001)
Primes: RFBsize:183072, AFBsize:182381, largePrimes:6642527 encountered
Relations: rels:6258535, finalFF:588785
Max relations in full relation-set: 28
Initial matrix: 365517 x 588785 with sparse part having weight 31133532.
Pruned matrix : 183587 x 185478 with weight 13613993.
Total sieving time: 5.76 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.93 hours.
Total square root time: 0.10 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000
total time: 6.94 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

4×10145+3

c114

name 名前Robert Backstrom
date 日付May 29, 2007 07:34:56 UTC 2007 年 5 月 29 日 (火) 16 時 34 分 56 秒 (日本時間)
composite number 合成数
186450569069337016472379512674172687327990157379633781153481333472695354444304795726582573723536382949298211314787<114>
prime factors 素因数
646714525652426822605941812765336474593578059<45>
288304285235034063465342910556093561504177705697017827218911974846793<69>
factorization results 素因数分解の結果
Number: n
N=186450569069337016472379512674172687327990157379633781153481333472695354444304795726582573723536382949298211314787
  ( 114 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=646714525652426822605941812765336474593578059 (pp45)
 r2=288304285235034063465342910556093561504177705697017827218911974846793 (pp69)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 7.95 hours.
Scaled time: 11.52 units (timescale=1.449).
Factorization parameters were as follows:
name: KA_4_0_144_3
n: 186450569069337016472379512674172687327990157379633781153481333472695354444304795726582573723536382949298211314787
skew: 0.94
deg: 5
c5: 4
c0: 3
m: 100000000000000000000000000000
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:6481222 encountered
Relations: rels:5947081, finalFF:465397
Max relations in full relation-set: 28
Initial matrix: 365955 x 465397 with sparse part having weight 26481654.
Pruned matrix : 278114 x 280007 with weight 12854649.
Total sieving time: 6.13 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.30 hours.
Total square root time: 0.37 hours, sqrts: 9.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000
total time: 7.95 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

4×10146+3

c99

name 名前Sinkiti Sibata
date 日付May 29, 2007 01:19:59 UTC 2007 年 5 月 29 日 (火) 10 時 19 分 59 秒 (日本時間)
composite number 合成数
132206125300983790896326376581325564446111856146621668386739588502853251960027942344108792674962899<99>
prime factors 素因数
41503832743290556850451533494303423483207<41>
3185395578251891000053013244421171035550838420033010094357<58>
factorization results 素因数分解の結果
Number: 40003_146
N=132206125300983790896326376581325564446111856146621668386739588502853251960027942344108792674962899
  ( 99 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=41503832743290556850451533494303423483207 (pp41)
 r2=3185395578251891000053013244421171035550838420033010094357 (pp58)
Version: GGNFS-0.77.1-20060513-k8
Total time: 14.41 hours.
Scaled time: 28.87 units (timescale=2.003).
Factorization parameters were as follows:
name: 40003_146
n: 132206125300983790896326376581325564446111856146621668386739588502853251960027942344108792674962899
m: 100000000000000000000000000000
c5: 40
c0: 3
skew: 1
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [750000, 2450001)
Primes: RFBsize:114155, AFBsize:113697, largePrimes:2764799 encountered
Relations: rels:2738945, finalFF:275539
Max relations in full relation-set: 28
Initial matrix: 227918 x 275539 with sparse part having weight 25625759.
Pruned matrix : 211958 x 213161 with weight 17651075.
Total sieving time: 13.81 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.41 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 14.41 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz,Windows Vista and  Cygwin)

4×10148+3

c108

name 名前Sinkiti Sibata
date 日付May 30, 2007 02:23:31 UTC 2007 年 5 月 30 日 (水) 11 時 23 分 31 秒 (日本時間)
composite number 合成数
251105640508617088508594586058925115736503829395097331809337690282772505242310817076184722144502554494278159<108>
prime factors 素因数
653001312242351067783538309652220151840959811<45>
384540790042736112351657990250185253692610846424727214146899269<63>
factorization results 素因数分解の結果
Number: 40003_148
N=251105640508617088508594586058925115736503829395097331809337690282772505242310817076184722144502554494278159
  ( 108 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=653001312242351067783538309652220151840959811 (pp45)
 r2=384540790042736112351657990250185253692610846424727214146899269 (pp63)
Version: GGNFS-0.77.1-20060513-k8
Total time: 20.03 hours.
Scaled time: 40.12 units (timescale=2.003).
Factorization parameters were as follows:
name: 40003_148
n: 251105640508617088508594586058925115736503829395097331809337690282772505242310817076184722144502554494278159
m: 200000000000000000000000000000
c5: 125
c0: 3
skew: 1
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [750000, 3150001)
Primes: RFBsize:114155, AFBsize:113877, largePrimes:2878785 encountered
Relations: rels:2881700, finalFF:275946
Max relations in full relation-set: 28
Initial matrix: 228097 x 275946 with sparse part having weight 29748606.
Pruned matrix : 213753 x 214957 with weight 21355785.
Total sieving time: 19.28 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.52 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 20.03 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista and Cygwin)

4×10151+3

c138

name 名前Robert Backstrom
date 日付May 30, 2007 07:43:10 UTC 2007 年 5 月 30 日 (水) 16 時 43 分 10 秒 (日本時間)
composite number 合成数
101684809290071168164673608485184602435969068234105883657731058672297789123043221176110896404625443994231824114694450958074636842233549627<138>
prime factors 素因数
1297415475912073088053509540386798385058609<43>
78374900853242505310466623601273918272208107442148395944232718006339250364736934925355798428203<95>
factorization results 素因数分解の結果
Number: n
N=101684809290071168164673608485184602435969068234105883657731058672297789123043221176110896404625443994231824114694450958074636842233549627
  ( 138 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=1297415475912073088053509540386798385058609 (pp43)
 r2=78374900853242505310466623601273918272208107442148395944232718006339250364736934925355798428203 (pp95)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 16.66 hours.
Scaled time: 22.81 units (timescale=1.369).
Factorization parameters were as follows:
name: KA_4_0_150_3
n: 101684809290071168164673608485184602435969068234105883657731058672297789123043221176110896404625443994231824114694450958074636842233549627
skew: 0.60
deg: 5
c5: 40
c0: 3
m: 1000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 700001)
Primes: RFBsize:216816, AFBsize:215821, largePrimes:6287333 encountered
Relations: rels:5832658, finalFF:518542
Max relations in full relation-set: 28
Initial matrix: 432703 x 518542 with sparse part having weight 27684554.
Pruned matrix : 351235 x 353462 with weight 14649647.
Total sieving time: 14.75 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.66 hours.
Total square root time: 0.08 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 16.66 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

4×10152+3

c147

name 名前Robert Backstrom
date 日付May 30, 2007 05:40:08 UTC 2007 年 5 月 30 日 (水) 14 時 40 分 8 秒 (日本時間)
composite number 合成数
944391847065184286264056682398660852360861568682077567624358698911352298295608814009108659364943702441016826701735083921020509829938638139736939651<147>
prime factors 素因数
2801114324800249062766187692606357600549569364661409619095961178167<67>
337148626424781873328036805457958920928175121942812922349685550558244211164690453<81>
factorization results 素因数分解の結果
Number: n
N=944391847065184286264056682398660852360861568682077567624358698911352298295608814009108659364943702441016826701735083921020509829938638139736939651
  ( 147 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=2801114324800249062766187692606357600549569364661409619095961178167 (pp67)
 r2=337148626424781873328036805457958920928175121942812922349685550558244211164690453 (pp81)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 17.49 hours.
Scaled time: 25.34 units (timescale=1.449).
Factorization parameters were as follows:
name: KA_4_0_151_3
n: 944391847065184286264056682398660852360861568682077567624358698911352298295608814009108659364943702441016826701735083921020509829938638139736939651
skew: 0.75
deg: 5
c5: 25
c0: 6
m: 2000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 800001)
Primes: RFBsize:216816, AFBsize:215956, largePrimes:6769972 encountered
Relations: rels:6408744, finalFF:619286
Max relations in full relation-set: 28
Initial matrix: 432836 x 619286 with sparse part having weight 33677825.
Pruned matrix : 266552 x 268780 with weight 14872464.
Total sieving time: 15.76 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.48 hours.
Total square root time: 0.09 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 17.49 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

4×10153+3

c111

name 名前Jo Yeong Uk
date 日付May 30, 2007 09:47:03 UTC 2007 年 5 月 30 日 (水) 18 時 47 分 3 秒 (日本時間)
composite number 合成数
830623905647955297761358148882626558774270445628540572480336272874132992508238565769278537971704421868179492443<111>
prime factors 素因数
3535740861654872658270519573725613482190542128854473<52>
234922167135062332183441254151884253123634863112124506309891<60>
factorization results 素因数分解の結果
Number: 40003_153
N=830623905647955297761358148882626558774270445628540572480336272874132992508238565769278537971704421868179492443
  ( 111 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=3535740861654872658270519573725613482190542128854473 (pp52)
 r2=234922167135062332183441254151884253123634863112124506309891 (pp60)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 17.10 hours.
Scaled time: 15.97 units (timescale=0.934).
Factorization parameters were as follows:
n: 830623905647955297761358148882626558774270445628540572480336272874132992508238565769278537971704421868179492443
m: 2000000000000000000000000000000
c5: 125
c0: 3
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, 2200001)
Primes: RFBsize:176302, AFBsize:175868, largePrimes:5638026 encountered
Relations: rels:5620624, finalFF:535694
Max relations in full relation-set: 28
Initial matrix: 352235 x 535694 with sparse part having weight 48622419.
Pruned matrix : 279893 x 281718 with weight 25069298.
Total sieving time: 16.52 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.46 hours.
Time per square root: 0.03 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: 17.10 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.. 4815.35 BogoMIPS (lpj=2407676)
Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148)
Total of 4 processors activated (19246.21 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

4×10154+3

c134

name 名前Robert Backstrom
date 日付May 31, 2007 13:32:39 UTC 2007 年 5 月 31 日 (木) 22 時 32 分 39 秒 (日本時間)
composite number 合成数
34617270133071285415914354745753361151760004396813244310996447931454777677825544431616161322375402810136808065672456644101628679212529<134>
prime factors 素因数
22208856755600059957457268067062121<35>
1894425688430070080563866230389466204449<40>
822790066767611381874600814825665810874654564700976063637801<60>
factorization results 素因数分解の結果
Number: n
N=34617270133071285415914354745753361151760004396813244310996447931454777677825544431616161322375402810136808065672456644101628679212529
  ( 134 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=22208856755600059957457268067062121 (pp35)
 r2=1894425688430070080563866230389466204449 (pp40)
 r3=822790066767611381874600814825665810874654564700976063637801 (pp60)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 28.57 hours.
Scaled time: 38.97 units (timescale=1.364).
Factorization parameters were as follows:
name: KA_4_0_153_3
n: 34617270133071285415914354745753361151760004396813244310996447931454777677825544431616161322375402810136808065672456644101628679212529
skew: 1.50
deg: 5
c5: 2
c0: 15
m: 10000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1200001)
Primes: RFBsize:216816, AFBsize:216721, largePrimes:6921372 encountered
Relations: rels:6417283, finalFF:508343
Max relations in full relation-set: 28
Initial matrix: 433602 x 508343 with sparse part having weight 33814808.
Pruned matrix : 369514 x 371746 with weight 20585563.
Total sieving time: 25.59 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 2.38 hours.
Total square root time: 0.41 hours, sqrts: 4.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 28.57 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

4×10155+3

c125

name 名前Jo Yeong Uk
date 日付May 31, 2007 06:33:46 UTC 2007 年 5 月 31 日 (木) 15 時 33 分 46 秒 (日本時間)
composite number 合成数
95572473521318661498662645987832126295159614647710436217024143597699587551562764245776486857662364971023065753927621965341421<125>
prime factors 素因数
492825456187630481531157139782940959270957733499511907<54>
193927631621634265976915268190761855606404319236001612241209942831445103<72>
factorization results 素因数分解の結果
Number: 40003_155
N=95572473521318661498662645987832126295159614647710436217024143597699587551562764245776486857662364971023065753927621965341421
  ( 125 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=492825456187630481531157139782940959270957733499511907 (pp54)
 r2=193927631621634265976915268190761855606404319236001612241209942831445103 (pp72)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 17.81 hours.
Scaled time: 16.60 units (timescale=0.932).
Factorization parameters were as follows:
n: 95572473521318661498662645987832126295159614647710436217024143597699587551562764245776486857662364971023065753927621965341421
m: 10000000000000000000000000000000
c5: 4
c0: 3
skew: 1
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 2500001)
Primes: RFBsize:216816, AFBsize:216936, largePrimes:5532285 encountered
Relations: rels:5477183, finalFF:544684
Max relations in full relation-set: 28
Initial matrix: 433819 x 544684 with sparse part having weight 40709982.
Pruned matrix : 354442 x 356675 with weight 25742292.
Total sieving time: 16.97 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.72 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 17.81 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.. 4815.35 BogoMIPS (lpj=2407676)
Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148)
Total of 4 processors activated (19246.21 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

4×10159+3

c132

name 名前suberi
date 日付June 6, 2007 03:43:28 UTC 2007 年 6 月 6 日 (水) 12 時 43 分 28 秒 (日本時間)
composite number 合成数
295564123102898950311660474914445041677616327778146529912494750618347587616670084876648878655123855189918992709638755596563428263071<132>
prime factors 素因数
3210493232143522115233150147270451<34>
composite cofactor 合成数の残り
92061905050509083573242674474131090797477960189592323155314191961704503438069174058130179979963621<98>
factorization results 素因数分解の結果
Input number is 295564123102898950311660474914445041677616327778146529912494750618347587616670084876648878655123855189918992709638755596563428263071 (132 digits)
Using B1=5000000, B2=11416314010, polynomial Dickson(12), sigma=1671372949
Step 1 took 89217ms
Step 2 took 43665ms
********** Factor found in step 2: 3210493232143522115233150147270451
Found probable prime factor of 34 digits: 3210493232143522115233150147270451
Composite cofactor 92061905050509083573242674474131090797477960189592323155314191961704503438069174058130179979963621 has 98 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

c98

name 名前suberi
date 日付June 6, 2007 12:28:44 UTC 2007 年 6 月 6 日 (水) 21 時 28 分 44 秒 (日本時間)
composite number 合成数
92061905050509083573242674474131090797477960189592323155314191961704503438069174058130179979963621<98>
prime factors 素因数
2111007970395248522288822270407200076593257339<46>
43610401448779057354383384061999544768111674794916639<53>
factorization results 素因数分解の結果
Wed Jun 06 13:02:36 2007  
Wed Jun 06 13:02:36 2007  
Wed Jun 06 13:02:36 2007  Msieve v. 1.22
Wed Jun 06 13:02:36 2007  random seeds: 1e082aa8 9c72287f
Wed Jun 06 13:02:36 2007  factoring 92061905050509083573242674474131090797477960189592323155314191961704503438069174058130179979963621 (98 digits)
Wed Jun 06 13:02:37 2007  commencing quadratic sieve (98-digit input)
Wed Jun 06 13:02:37 2007  using multiplier of 5
Wed Jun 06 13:02:37 2007  using 64kb Opteron sieve core
Wed Jun 06 13:02:37 2007  sieve interval: 18 blocks of size 65536
Wed Jun 06 13:02:37 2007  processing polynomials in batches of 6
Wed Jun 06 13:02:37 2007  using a sieve bound of 2542703 (92941 primes)
Wed Jun 06 13:02:37 2007  using large prime bound of 381405450 (28 bits)
Wed Jun 06 13:02:37 2007  using double large prime bound of 2795737419206850 (43-52 bits)
Wed Jun 06 13:02:37 2007  using trial factoring cutoff of 52 bits
Wed Jun 06 13:02:37 2007  polynomial 'A' values have 13 factors
Wed Jun 06 21:05:02 2007  93287 relations (22735 full + 70552 combined from 1389878 partial), need 93037
Wed Jun 06 21:05:26 2007  begin with 1412613 relations
Wed Jun 06 21:05:28 2007  reduce to 242711 relations in 10 passes
Wed Jun 06 21:05:28 2007  attempting to read 242711 relations
Wed Jun 06 21:05:33 2007  recovered 242711 relations
Wed Jun 06 21:05:33 2007  recovered 229853 polynomials
Wed Jun 06 21:05:34 2007  attempting to build 93287 cycles
Wed Jun 06 21:05:34 2007  found 93287 cycles in 6 passes
Wed Jun 06 21:05:34 2007  distribution of cycle lengths:
Wed Jun 06 21:05:34 2007     length 1 : 22735
Wed Jun 06 21:05:34 2007     length 2 : 16342
Wed Jun 06 21:05:34 2007     length 3 : 15825
Wed Jun 06 21:05:34 2007     length 4 : 12688
Wed Jun 06 21:05:34 2007     length 5 : 9623
Wed Jun 06 21:05:34 2007     length 6 : 6425
Wed Jun 06 21:05:34 2007     length 7 : 4104
Wed Jun 06 21:05:34 2007     length 9+: 5545
Wed Jun 06 21:05:34 2007  largest cycle: 20 relations
Wed Jun 06 21:05:34 2007  matrix is 92941 x 93287 with weight 6011165 (avg 64.44/col)
Wed Jun 06 21:05:35 2007  filtering completed in 3 passes
Wed Jun 06 21:05:35 2007  matrix is 91290 x 91354 with weight 5815830 (avg 63.66/col)
Wed Jun 06 21:05:36 2007  saving the first 48 matrix rows for later
Wed Jun 06 21:05:36 2007  matrix is 91242 x 91354 with weight 4375853 (avg 47.90/col)
Wed Jun 06 21:05:36 2007  matrix includes 64 packed rows
Wed Jun 06 21:05:36 2007  using block size 10922 for processor cache size 256 kB
Wed Jun 06 21:05:36 2007  commencing Lanczos iteration
Wed Jun 06 21:07:07 2007  lanczos halted after 1445 iterations
Wed Jun 06 21:07:07 2007  recovered 15 nontrivial dependencies
Wed Jun 06 21:07:08 2007  prp46 factor: 2111007970395248522288822270407200076593257339
Wed Jun 06 21:07:08 2007  prp53 factor: 43610401448779057354383384061999544768111674794916639
Wed Jun 06 21:07:08 2007  elapsed time 08:04:32
execution environment 実行環境
Sempron 3400+ 1.80GHz, Windows Vista

4×10161+3

c129

name 名前suberi
date 日付June 6, 2007 03:51:56 UTC 2007 年 6 月 6 日 (水) 12 時 51 分 56 秒 (日本時間)
composite number 合成数
496506028143019469904453934941335968226252665797544486891077894248911404188479090842393455819108389263117435770083051157315862517<129>
prime factors 素因数
5565980346411937268388128381439563107<37>
composite cofactor 合成数の残り
89203697685186390047288507359292435046300468270991492132748857979599129994346738197714706631<92>
factorization results 素因数分解の結果
Input number is 496506028143019469904453934941335968226252665797544486891077894248911404188479090842393455819108389263117435770083051157315862517 (129 digits)
Using B1=5000000, B2=11416314010, polynomial Dickson(12), sigma=883745355
Step 1 took 90746ms
Step 2 took 43493ms
********** Factor found in step 2: 5565980346411937268388128381439563107
Found probable prime factor of 37 digits: 5565980346411937268388128381439563107
Composite cofactor 89203697685186390047288507359292435046300468270991492132748857979599129994346738197714706631 has 92 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

c92

name 名前suberi
date 日付June 6, 2007 12:29:32 UTC 2007 年 6 月 6 日 (水) 21 時 29 分 32 秒 (日本時間)
composite number 合成数
89203697685186390047288507359292435046300468270991492132748857979599129994346738197714706631<92>
prime factors 素因数
700131433832122433345260550981903682611<39>
127409931013861119158868865095362078118650478133953821<54>
factorization results 素因数分解の結果
Wed Jun 06 13:03:32 2007  
Wed Jun 06 13:03:32 2007  
Wed Jun 06 13:03:32 2007  Msieve v. 1.22
Wed Jun 06 13:03:32 2007  random seeds: 42a4d6dc 17b79130
Wed Jun 06 13:03:32 2007  factoring 89203697685186390047288507359292435046300468270991492132748857979599129994346738197714706631 (92 digits)
Wed Jun 06 13:03:33 2007  commencing quadratic sieve (92-digit input)
Wed Jun 06 13:03:33 2007  using multiplier of 31
Wed Jun 06 13:03:33 2007  using 64kb Pentium 4 sieve core
Wed Jun 06 13:03:33 2007  sieve interval: 18 blocks of size 65536
Wed Jun 06 13:03:33 2007  processing polynomials in batches of 6
Wed Jun 06 13:03:33 2007  using a sieve bound of 1854623 (69412 primes)
Wed Jun 06 13:03:33 2007  using large prime bound of 209572399 (27 bits)
Wed Jun 06 13:03:33 2007  using double large prime bound of 951483630575481 (42-50 bits)
Wed Jun 06 13:03:33 2007  using trial factoring cutoff of 50 bits
Wed Jun 06 13:03:33 2007  polynomial 'A' values have 12 factors
Wed Jun 06 17:47:55 2007  69664 relations (17315 full + 52349 combined from 897404 partial), need 69508
Wed Jun 06 17:47:58 2007  begin with 914719 relations
Wed Jun 06 17:47:59 2007  reduce to 178248 relations in 10 passes
Wed Jun 06 17:47:59 2007  attempting to read 178248 relations
Wed Jun 06 17:48:03 2007  recovered 178248 relations
Wed Jun 06 17:48:03 2007  recovered 161681 polynomials
Wed Jun 06 17:48:03 2007  attempting to build 69664 cycles
Wed Jun 06 17:48:03 2007  found 69664 cycles in 6 passes
Wed Jun 06 17:48:03 2007  distribution of cycle lengths:
Wed Jun 06 17:48:03 2007     length 1 : 17315
Wed Jun 06 17:48:03 2007     length 2 : 12552
Wed Jun 06 17:48:03 2007     length 3 : 12009
Wed Jun 06 17:48:03 2007     length 4 : 9448
Wed Jun 06 17:48:03 2007     length 5 : 6958
Wed Jun 06 17:48:03 2007     length 6 : 4647
Wed Jun 06 17:48:03 2007     length 7 : 2820
Wed Jun 06 17:48:03 2007     length 9+: 3915
Wed Jun 06 17:48:03 2007  largest cycle: 19 relations
Wed Jun 06 17:48:04 2007  matrix is 69412 x 69664 with weight 4316925 (avg 61.97/col)
Wed Jun 06 17:48:05 2007  filtering completed in 3 passes
Wed Jun 06 17:48:05 2007  matrix is 68116 x 68180 with weight 4166475 (avg 61.11/col)
Wed Jun 06 17:48:05 2007  saving the first 48 matrix rows for later
Wed Jun 06 17:48:05 2007  matrix is 68068 x 68180 with weight 3190313 (avg 46.79/col)
Wed Jun 06 17:48:05 2007  matrix includes 64 packed rows
Wed Jun 06 17:48:05 2007  using block size 21845 for processor cache size 512 kB
Wed Jun 06 17:48:06 2007  commencing Lanczos iteration
Wed Jun 06 17:49:11 2007  lanczos halted after 1078 iterations
Wed Jun 06 17:49:11 2007  recovered 17 nontrivial dependencies
Wed Jun 06 17:49:13 2007  prp39 factor: 700131433832122433345260550981903682611
Wed Jun 06 17:49:13 2007  prp54 factor: 127409931013861119158868865095362078118650478133953821
Wed Jun 06 17:49:13 2007  elapsed time 04:45:41
execution environment 実行環境
Pentium 4 2.26GHz, Windows XP

4×10162+3

c143

name 名前Robert Backstrom
date 日付October 8, 2007 21:24:08 UTC 2007 年 10 月 9 日 (火) 6 時 24 分 8 秒 (日本時間)
composite number 合成数
39459218261793484031429986564259843918054327571537121376310544925094790528770124732699157255927616425625128819829539343779063155819583908887247<143>
prime factors 素因数
52633384675921297349532423419308829377260438229<47>
749699425654555588156813979006319175064153379838686656191939648186729452596767342041598941114643<96>
factorization results 素因数分解の結果
Number: n
N=39459218261793484031429986564259843918054327571537121376310544925094790528770124732699157255927616425625128819829539343779063155819583908887247
  ( 143 digits)
SNFS difficulty: 162 digits.
Divisors found:

Tue Oct 09 03:46:58 2007  prp47 factor: 52633384675921297349532423419308829377260438229
Tue Oct 09 03:46:58 2007  prp96 factor: 749699425654555588156813979006319175064153379838686656191939648186729452596767342041598941114643
Tue Oct 09 03:46:58 2007  elapsed time 01:16:25 (Msieve 1.28)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 36.15 hours.
Scaled time: 52.53 units (timescale=1.453).
Factorization parameters were as follows:
name: KA_4_0_161_3
n: 39459218261793484031429986564259843918054327571537121376310544925094790528770124732699157255927616425625128819829539343779063155819583908887247
skew: 0.75
deg: 5
c5: 25
c0: 6
m: 200000000000000000000000000000000
type: snfs
rlim: 2800000
alim: 2800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
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, 1900000)
Primes: RFBsize:203362, AFBsize:202562, largePrimes:7139160 encountered
Relations: rels:6577562, finalFF:434257
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 35.92 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.5,2.5,100000
total time: 36.15 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

4×10163+3

c146

name 名前suberi
date 日付June 8, 2007 06:19:31 UTC 2007 年 6 月 8 日 (金) 15 時 19 分 31 秒 (日本時間)
composite number 合成数
30372292949732050461283898465920300433029597971511941253232256303250268636420306777112618045661362408294742274349764457777466836309002530679755453<146>
prime factors 素因数
9122825587223042642884812944337703070033<40>
3329263796544560932998781161768664065173476621162459775686753155158211188126981055831370511645586167117741<106>
factorization results 素因数分解の結果
Input number is 30372292949732050461283898465920300433029597971511941253232256303250268636420306777112618045661362408294742274349764457777466836309002530679755453 (146 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2575813498
Step 1 took 241427ms
Step 2 took 90028ms
********** Factor found in step 2: 9122825587223042642884812944337703070033
Found probable prime factor of 40 digits: 9122825587223042642884812944337703070033
Probable prime cofactor 3329263796544560932998781161768664065173476621162459775686753155158211188126981055831370511645586167117741 has 106 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

4×10164+3

c132

name 名前Justin Card
date 日付May 3, 2008 12:48:30 UTC 2008 年 5 月 3 日 (土) 21 時 48 分 30 秒 (日本時間)
composite number 合成数
281757056083773741232137178028737834794104880024291453340088245329928734185858405370672594988276144001927978351950713117289357114693<132>
prime factors 素因数
31445722457122043977687400352333915199796312519950578127<56>
8960107578000945594964516537852622453791282510444775001014858922521752127659<76>
factorization results 素因数分解の結果
[04/28 05:48:36] GGNFS-0.77.1-20060722-k8 : makefb
[04/28 05:48:45] name: 
[04/28 05:48:45] n=281757056083773741232137178028737834794104880024291453340088245329928734185858405370672594988276144001927978351950713117289357114693 (132 digits)
[04/28 05:48:45] c0: 15
[04/28 05:48:45] c1: 0
[04/28 05:48:45] c2: 0
[04/28 05:48:45] c3: 0
[04/28 05:48:45] c4: 0
[04/28 05:48:45] c5: 2
[04/28 05:48:45] RFBsize: 348513 (upto 4999999)
[04/28 05:48:45] AFBsize: 348286 (upto 4999999)
[04/28 05:48:45] maxNumLargeRatPrimes: 3
[04/28 05:48:45] maxLargeRatPrime: 134217728
[04/28 05:48:45] maxNumLargeAlgPrimes: 3
[04/28 05:48:45] maxLargeAlgPrime: 134217728
->               minimum number of FF's: 780486
[04/28 05:48:45] GGNFS-0.77.1-20060722-k8 : sieve
[04/28 05:48:45] 
[04/28 05:48:45] hashtable: 62 bins of size 65536
[04/28 05:48:45] hashtable cache: 130 entries per bin
[04/28 05:48:45] Rational factor base:
[04/28 05:48:45] base of logs: 1.516
[04/28 05:48:45] factor base entries: 348513 (7.0 MB)
[04/28 05:48:45] maximum factor base prime: 4999999
[04/28 05:48:45] primes at infinity: 0
[04/28 05:48:45] hashed RFB entries: 341970 (98.1%, max=4999999)
[04/28 05:48:45] sieved RFB entries: 6488 (1.862%, max=65537)
[04/28 05:48:45] unsieved RFB entries: 55
[04/28 05:48:45] large prime cutoff: 27 bits
[04/28 05:48:45] trial factoring cutoff: 56 bits
[04/28 05:48:45] 2-large prime cutoff: 44-27 bits
[04/28 05:48:45] Algebraic factor base:
[04/28 05:48:45] base of logs: 1.580
[04/28 05:48:45] factor base entries: 348285 (7.0 MB)
[04/28 05:48:45] maximum factor base prime: 4999999
[04/28 05:48:45] primes at infinity: 1
[04/28 05:48:45] hashed AFB entries: 341683 (98.1%, max=4999999)
[04/28 05:48:45] sieved AFB entries: 6556 (1.882%, max=65537)
[04/28 05:48:45] unsieved AFB entries: 46
[04/28 05:48:45] large prime cutoff: 27 bits
[04/28 05:48:45] trial factoring cutoff: 57 bits
[04/28 05:48:45] 2-large prime cutoff: 44-27 bits
[04/28 05:48:45] 
[04/28 05:54:29] Classical sieved [-4000000, 4000000]x[1, 400]
[04/28 05:54:29] Found 5405 relations in 344.2 sec
-> makeJobFile(): Adjusted to q0=2500000, q1=2600000.
->               client 1 q0: 2500000
   LatSieveTime: 10126
[04/28 08:43:16] GGNFS-0.77.1-20060722-k8 : procrels
[04/28 08:43:31] There were 1434/253164 duplicates.
[04/28 08:43:31] RelProcTime: 15.5
[04/28 08:43:32] largePrimes: 461714 , relations: 251730
[04/28 08:43:32] GGNFS-0.77.1-20060722-k8 : matbuild
[04/28 08:43:33] largePrimes: 461714 , relations: 251730
[04/28 08:43:33] Heap stats for matbuild run.
[04/28 08:43:33] Max heap usage: 68 MB
[04/28 08:43:33] malloc/realloc errors: 0 
[04/28 08:43:33] total malloc's : 52 
[04/28 08:43:33] total realloc's: 18 
[04/28 08:43:33] rels:251730, initialFF:0, finalFF:9313
-> makeJobFile(): Adjusted to q0=2600001, q1=2700000.
->               client 1 q0: 2600001
       LatSieveTime: 10859
[04/28 11:44:32] GGNFS-0.77.1-20060722-k8 : procrels
[04/28 11:44:48] There were 3930/247263 duplicates.
[04/28 11:44:48] RelProcTime: 15.8
[04/28 11:44:49] largePrimes: 868408 , relations: 495063
[04/28 11:44:49] GGNFS-0.77.1-20060722-k8 : matbuild
[04/28 11:44:51] largePrimes: 868408 , relations: 495063
[04/28 11:44:51] Heap stats for matbuild run.
[04/28 11:44:51] Max heap usage: 106 MB
[04/28 11:44:51] malloc/realloc errors: 0 
[04/28 11:44:51] total malloc's : 67 
[04/28 11:44:51] total realloc's: 25 
[04/28 11:44:51] rels:495063, initialFF:0, finalFF:18831
-> makeJobFile(): Adjusted to q0=2700001, q1=2800000.
->               client 1 q0: 2700001
     LatSieveTime: 10388
[04/28 14:37:59] GGNFS-0.77.1-20060722-k8 : procrels
[04/28 14:38:14] There were 6158/238621 duplicates.
[04/28 14:38:14] RelProcTime: 14.5
[04/28 14:38:15] largePrimes: 1225006 , relations: 727526
[04/28 14:38:16] GGNFS-0.77.1-20060722-k8 : matbuild
[04/28 14:38:19] largePrimes: 1225006 , relations: 727526
[04/28 14:38:19] Heap stats for matbuild run.
[04/28 14:38:19] Max heap usage: 143 MB
[04/28 14:38:19] malloc/realloc errors: 0 
[04/28 14:38:19] total malloc's : 70 
[04/28 14:38:19] total realloc's: 28 
[04/28 14:38:19] rels:727526, initialFF:0, finalFF:28233
-> makeJobFile(): Adjusted to q0=2800001, q1=2900000.
->               client 1 q0: 2800001
   LatSieveTime: 10346
[04/28 17:30:46] GGNFS-0.77.1-20060722-k8 : procrels
[04/28 17:31:01] There were 8268/236776 duplicates.
[04/28 17:31:01] RelProcTime: 15.4
[04/28 17:31:03] largePrimes: 1550549 , relations: 956034
[04/28 17:31:03] GGNFS-0.77.1-20060722-k8 : matbuild
[04/28 17:31:06] largePrimes: 1550549 , relations: 956034
[04/28 17:31:07] Heap stats for matbuild run.
[04/28 17:31:07] Max heap usage: 178 MB
[04/28 17:31:07] malloc/realloc errors: 0 
[04/28 17:31:07] total malloc's : 72 
[04/28 17:31:07] total realloc's: 31 
[04/28 17:31:07] rels:956034, initialFF:0, finalFF:37995
-> makeJobFile(): Adjusted to q0=2900001, q1=3000000.
->               client 1 q0: 2900001
   LatSieveTime: 10456
[04/28 20:25:24] GGNFS-0.77.1-20060722-k8 : procrels
[04/28 20:25:40] There were 10417/239631 duplicates.
[04/28 20:25:40] RelProcTime: 15.4
[04/28 20:25:43] largePrimes: 1854333 , relations: 1185248
[04/28 20:25:43] GGNFS-0.77.1-20060722-k8 : matbuild
[04/28 20:25:48] largePrimes: 1854333 , relations: 1185248
[04/28 20:25:49] Heap stats for matbuild run.
[04/28 20:25:49] Max heap usage: 80 MB
[04/28 20:25:49] malloc/realloc errors: 0 
[04/28 20:25:49] total malloc's : 101 
[04/28 20:25:49] total realloc's: 36 
[04/28 20:25:49] rels:1185248, initialFF:0, finalFF:48555
-> makeJobFile(): Adjusted to q0=3000001, q1=3100000.
->               client 1 q0: 3000001
       LatSieveTime: 10079
[04/28 23:13:49] GGNFS-0.77.1-20060722-k8 : procrels
[04/28 23:14:04] There were 11958/231025 duplicates.
[04/28 23:14:04] RelProcTime: 14.7
[04/28 23:14:06] largePrimes: 2126504 , relations: 1404315
[04/28 23:14:06] GGNFS-0.77.1-20060722-k8 : matbuild
[04/28 23:14:13] largePrimes: 2126504 , relations: 1404315
[04/28 23:14:14] Heap stats for matbuild run.
[04/28 23:14:14] Max heap usage: 96 MB
[04/28 23:14:14] malloc/realloc errors: 0 
[04/28 23:14:14] total malloc's : 116 
[04/28 23:14:14] total realloc's: 43 
[04/28 23:14:14] rels:1404315, initialFF:0, finalFF:59278
-> makeJobFile(): Adjusted to q0=3100001, q1=3200000.
->               client 1 q0: 3100001
       LatSieveTime: 10272
[04/29 02:05:26] GGNFS-0.77.1-20060722-k8 : procrels
[04/29 02:05:41] There were 13594/232219 duplicates.
[04/29 02:05:41] RelProcTime: 14.7
[04/29 02:05:43] largePrimes: 2383566 , relations: 1622940
[04/29 02:05:44] GGNFS-0.77.1-20060722-k8 : matbuild
[04/29 02:05:51] largePrimes: 2383566 , relations: 1622940
[04/29 02:05:52] Heap stats for matbuild run.
[04/29 02:05:52] Max heap usage: 104 MB
[04/29 02:05:52] malloc/realloc errors: 0 
[04/29 02:05:52] total malloc's : 116 
[04/29 02:05:52] total realloc's: 46 
[04/29 02:05:52] rels:1622940, initialFF:0, finalFF:70501
-> makeJobFile(): Adjusted to q0=3200001, q1=3300000.
->               client 1 q0: 3200001
      LatSieveTime: 10489
[04/29 05:00:41] GGNFS-0.77.1-20060722-k8 : procrels
[04/29 05:00:57] There were 15348/233656 duplicates.
[04/29 05:00:57] RelProcTime: 15.3
[04/29 05:01:00] largePrimes: 2626900 , relations: 1841248
[04/29 05:01:00] GGNFS-0.77.1-20060722-k8 : matbuild
[04/29 05:01:08] largePrimes: 2626900 , relations: 1841248
[04/29 05:01:10] Heap stats for matbuild run.
[04/29 05:01:10] Max heap usage: 113 MB
[04/29 05:01:10] malloc/realloc errors: 0 
[04/29 05:01:10] total malloc's : 129 
[04/29 05:01:10] total realloc's: 51 
[04/29 05:01:10] rels:1841248, initialFF:0, finalFF:82296
-> makeJobFile(): Adjusted to q0=3300001, q1=3400000.
->               client 1 q0: 3300001
      LatSieveTime: 10381
[04/29 07:54:11] GGNFS-0.77.1-20060722-k8 : procrels
[04/29 07:54:27] There were 16708/230298 duplicates.
[04/29 07:54:27] RelProcTime: 16.0
[04/29 07:54:31] largePrimes: 2853210 , relations: 2054838
[04/29 07:54:31] GGNFS-0.77.1-20060722-k8 : matbuild
[04/29 07:54:40] largePrimes: 2853210 , relations: 2054838
[04/29 07:54:42] Heap stats for matbuild run.
[04/29 07:54:42] Max heap usage: 121 MB
[04/29 07:54:42] malloc/realloc errors: 0 
[04/29 07:54:42] total malloc's : 146 
[04/29 07:54:42] total realloc's: 58 
[04/29 07:54:42] rels:2054838, initialFF:0, finalFF:94701
-> makeJobFile(): Adjusted to q0=3400001, q1=3500000.
->               client 1 q0: 3400001
      LatSieveTime: 10490
[04/29 10:49:32] GGNFS-0.77.1-20060722-k8 : procrels
[04/29 10:49:48] There were 17763/227219 duplicates.
[04/29 10:49:48] RelProcTime: 16.0
[04/29 10:49:53] largePrimes: 3064765 , relations: 2264294
[04/29 10:49:53] GGNFS-0.77.1-20060722-k8 : matbuild
[04/29 10:50:03] largePrimes: 3064765 , relations: 2264294
[04/29 10:50:06] Heap stats for matbuild run.
[04/29 10:50:06] Max heap usage: 130 MB
[04/29 10:50:06] malloc/realloc errors: 0 
[04/29 10:50:06] total malloc's : 148 
[04/29 10:50:06] total realloc's: 62 
[04/29 10:50:06] rels:2264294, initialFF:0, finalFF:108128
-> makeJobFile(): Adjusted to q0=3500001, q1=3600000.
->               client 1 q0: 3500001
     LatSieveTime: 10909
[04/29 13:51:55] GGNFS-0.77.1-20060722-k8 : procrels
[04/29 13:52:12] There were 19089/224182 duplicates.
[04/29 13:52:12] RelProcTime: 16.3
[04/29 13:52:16] largePrimes: 3263490 , relations: 2469387
[04/29 13:52:16] GGNFS-0.77.1-20060722-k8 : matbuild
[04/29 13:52:28] largePrimes: 3263490 , relations: 2469387
[04/29 13:52:31] Heap stats for matbuild run.
[04/29 13:52:31] Max heap usage: 138 MB
[04/29 13:52:31] malloc/realloc errors: 0 
[04/29 13:52:31] total malloc's : 150 
[04/29 13:52:31] total realloc's: 65 
[04/29 13:52:31] rels:2469387, initialFF:0, finalFF:121873
-> makeJobFile(): Adjusted to q0=3600001, q1=3700000.
->               client 1 q0: 3600001
     LatSieveTime: 11027
[04/29 16:56:18] GGNFS-0.77.1-20060722-k8 : procrels
[04/29 16:56:34] There were 20438/225727 duplicates.
[04/29 16:56:34] RelProcTime: 15.4
[04/29 16:56:38] largePrimes: 3454616 , relations: 2674676
[04/29 16:56:38] GGNFS-0.77.1-20060722-k8 : matbuild
[04/29 16:56:51] largePrimes: 3454616 , relations: 2674676
[04/29 16:56:54] Heap stats for matbuild run.
[04/29 16:56:54] Max heap usage: 150 MB
[04/29 16:56:54] malloc/realloc errors: 0 
[04/29 16:56:54] total malloc's : 165 
[04/29 16:56:54] total realloc's: 71 
[04/29 16:56:54] rels:2674676, initialFF:0, finalFF:136991
-> makeJobFile(): Adjusted to q0=3700001, q1=3800000.
->               client 1 q0: 3700001
     LatSieveTime: 10429
[04/29 19:50:43] GGNFS-0.77.1-20060722-k8 : procrels
[04/29 19:50:59] There were 20638/216554 duplicates.
[04/29 19:50:59] RelProcTime: 15.7
[04/29 19:51:05] largePrimes: 3629509 , relations: 2870592
[04/29 19:51:05] GGNFS-0.77.1-20060722-k8 : matbuild
[04/29 19:51:18] largePrimes: 3629509 , relations: 2870592
[04/29 19:51:22] Heap stats for matbuild run.
[04/29 19:51:22] Max heap usage: 157 MB
[04/29 19:51:22] malloc/realloc errors: 0 
[04/29 19:51:22] total malloc's : 176 
[04/29 19:51:22] total realloc's: 76 
[04/29 19:51:22] rels:2870592, initialFF:0, finalFF:152673
-> makeJobFile(): Adjusted to q0=3800001, q1=3900000.
->               client 1 q0: 3800001
     LatSieveTime: 10815
[04/29 22:51:37] GGNFS-0.77.1-20060722-k8 : procrels
[04/29 22:51:53] There were 23108/228221 duplicates.
[04/29 22:51:53] RelProcTime: 15.9
[04/29 22:51:58] largePrimes: 3807084 , relations: 3075705
[04/29 22:51:58] GGNFS-0.77.1-20060722-k8 : matbuild
[04/29 22:52:11] largePrimes: 3807084 , relations: 3075705
[04/29 22:52:16] Heap stats for matbuild run.
[04/29 22:52:16] Max heap usage: 173 MB
[04/29 22:52:16] malloc/realloc errors: 0 
[04/29 22:52:16] total malloc's : 184 
[04/29 22:52:16] total realloc's: 84 
[04/29 22:52:16] rels:3075705, initialFF:0, finalFF:170779
-> makeJobFile(): Adjusted to q0=3900001, q1=4000000.
->               client 1 q0: 3900001
     LatSieveTime: 10412
[04/30 01:45:48] GGNFS-0.77.1-20060722-k8 : procrels
[04/30 01:46:04] There were 23195/218119 duplicates.
[04/30 01:46:04] RelProcTime: 15.6
[04/30 01:46:09] largePrimes: 3970731 , relations: 3270629
[04/30 01:46:09] GGNFS-0.77.1-20060722-k8 : matbuild
[04/30 01:46:23] largePrimes: 3970731 , relations: 3270629
[04/30 01:46:28] Heap stats for matbuild run.
[04/30 01:46:28] Max heap usage: 181 MB
[04/30 01:46:28] malloc/realloc errors: 0 
[04/30 01:46:28] total malloc's : 186 
[04/30 01:46:28] total realloc's: 86 
[04/30 01:46:28] rels:3270629, initialFF:0, finalFF:189710
-> makeJobFile(): Adjusted to q0=4000001, q1=4100000.
->               client 1 q0: 4000001
     LatSieveTime: 10519
[04/30 04:41:48] GGNFS-0.77.1-20060722-k8 : procrels
[04/30 04:42:14] There were 24380/219826 duplicates.
[04/30 04:42:14] RelProcTime: 16.6
[04/30 04:42:21] largePrimes: 4129017 , relations: 3466075
[04/30 04:42:21] GGNFS-0.77.1-20060722-k8 : matbuild
[04/30 04:42:38] largePrimes: 4129017 , relations: 3466075
[04/30 04:42:44] Heap stats for matbuild run.
[04/30 04:42:44] Max heap usage: 141 MB
[04/30 04:42:44] malloc/realloc errors: 0 
[04/30 04:42:44] total malloc's : 262 
[04/30 04:42:44] total realloc's: 103 
[04/30 04:42:44] rels:3466075, initialFF:0, finalFF:210824
-> makeJobFile(): Adjusted to q0=4100001, q1=4200000.
->               client 1 q0: 4100001
    LatSieveTime: 10364
[04/30 07:35:29] GGNFS-0.77.1-20060722-k8 : procrels
[04/30 07:35:44] There were 24528/213008 duplicates.
[04/30 07:35:44] RelProcTime: 15.7
[04/30 07:35:52] largePrimes: 4277683 , relations: 3654555
[04/30 07:35:52] GGNFS-0.77.1-20060722-k8 : matbuild
[04/30 07:36:09] largePrimes: 4277683 , relations: 3654555
[04/30 07:36:17] Heap stats for matbuild run.
[04/30 07:36:17] Max heap usage: 146 MB
[04/30 07:36:17] malloc/realloc errors: 0 
[04/30 07:36:17] total malloc's : 270 
[04/30 07:36:17] total realloc's: 109 
[04/30 07:36:17] rels:3654555, initialFF:0, finalFF:233618
-> makeJobFile(): Adjusted to q0=4200001, q1=4300000.
->               client 1 q0: 4200001
    LatSieveTime: 10455
[04/30 10:30:32] GGNFS-0.77.1-20060722-k8 : procrels
[04/30 10:30:48] There were 24891/211431 duplicates.
[04/30 10:30:48] RelProcTime: 15.9
[04/30 10:30:56] largePrimes: 4420984 , relations: 3841095
[04/30 10:30:56] GGNFS-0.77.1-20060722-k8 : matbuild
[04/30 10:31:14] largePrimes: 4420984 , relations: 3841095
[04/30 10:31:23] Heap stats for matbuild run.
[04/30 10:31:23] Max heap usage: 151 MB
[04/30 10:31:23] malloc/realloc errors: 0 
[04/30 10:31:23] total malloc's : 296 
[04/30 10:31:23] total realloc's: 116 
[04/30 10:31:23] rels:3841095, initialFF:0, finalFF:258876
-> makeJobFile(): Adjusted to q0=4300001, q1=4400000.
->               client 1 q0: 4300001
    LatSieveTime: 10694
[04/30 13:29:38] GGNFS-0.77.1-20060722-k8 : procrels
[04/30 13:29:55] There were 26113/212289 duplicates.
[04/30 13:29:55] RelProcTime: 16.9
[04/30 13:30:04] largePrimes: 4560331 , relations: 4027271
[04/30 13:30:04] GGNFS-0.77.1-20060722-k8 : matbuild
[04/30 13:30:24] largePrimes: 4560331 , relations: 4027271
[04/30 13:30:34] Heap stats for matbuild run.
[04/30 13:30:34] Max heap usage: 156 MB
[04/30 13:30:34] malloc/realloc errors: 0 
[04/30 13:30:34] total malloc's : 277 
[04/30 13:30:34] total realloc's: 112 
[04/30 13:30:34] rels:4027271, initialFF:0, finalFF:286615
-> makeJobFile(): Adjusted to q0=4400001, q1=4500000.
->               client 1 q0: 4400001
    LatSieveTime: 11213
[04/30 16:37:28] GGNFS-0.77.1-20060722-k8 : procrels
[04/30 16:37:44] There were 27033/215365 duplicates.
[04/30 16:37:44] RelProcTime: 16.6
[04/30 16:37:53] largePrimes: 4698008 , relations: 4215603
[04/30 16:37:53] GGNFS-0.77.1-20060722-k8 : matbuild
[04/30 16:38:13] largePrimes: 4698008 , relations: 4215603
[04/30 16:38:25] Heap stats for matbuild run.
[04/30 16:38:25] Max heap usage: 161 MB
[04/30 16:38:25] malloc/realloc errors: 0 
[04/30 16:38:25] total malloc's : 298 
[04/30 16:38:25] total realloc's: 120 
[04/30 16:38:25] rels:4215603, initialFF:0, finalFF:317802
-> makeJobFile(): Adjusted to q0=4500001, q1=4600000.
->               client 1 q0: 4500001
    LatSieveTime: 10742
[04/30 19:37:27] GGNFS-0.77.1-20060722-k8 : procrels
[04/30 19:37:44] There were 27144/209674 duplicates.
[04/30 19:37:44] RelProcTime: 16.4
[04/30 19:37:53] largePrimes: 4828529 , relations: 4398133
[04/30 19:37:53] GGNFS-0.77.1-20060722-k8 : matbuild
[04/30 19:38:15] largePrimes: 4828529 , relations: 4398133
[04/30 19:38:29] Heap stats for matbuild run.
[04/30 19:38:29] Max heap usage: 166 MB
[04/30 19:38:29] malloc/realloc errors: 0 
[04/30 19:38:29] total malloc's : 299 
[04/30 19:38:29] total realloc's: 121 
[04/30 19:38:29] rels:4398133, initialFF:0, finalFF:351398
-> makeJobFile(): Adjusted to q0=4600001, q1=4700000.
->               client 1 q0: 4600001
    LatSieveTime: 176
-> makeJobFile(): Adjusted to q0=4601537, q1=4700000.
->               minimum number of FF's: 780486
-> makeJobFile(): Adjusted to q0=4700000, q1=4800000.
->               client 1 q0: 4700000
->               minimum number of FF's: 780486
-> makeJobFile(): Adjusted to q0=4800000, q1=4900000.
->               client 2 q0: 4800000
     LatSieveTime: 11054
[04/30 22:46:02] GGNFS-0.77.1-20060722-k8 : procrels
[04/30 22:46:20] There were 27918/212060 duplicates.
[04/30 22:46:20] RelProcTime: 18.1
[04/30 22:46:30] largePrimes: 4957115 , relations: 4582275
[04/30 22:46:30] GGNFS-0.77.1-20060722-k8 : matbuild
[04/30 22:46:52] largePrimes: 4957115 , relations: 4582275
[04/30 22:47:08] Heap stats for matbuild run.
[04/30 22:47:08] Max heap usage: 171 MB
[04/30 22:47:08] malloc/realloc errors: 0 
[04/30 22:47:08] total malloc's : 292 
[04/30 22:47:08] total realloc's: 119 
[04/30 22:47:08] rels:4582275, initialFF:0, finalFF:388745
-> makeJobFile(): Adjusted to q0=4900000, q1=5000000.
->               client 1 q0: 4900000
    LatSieveTime: 11117
-> makeJobFile(): Adjusted to q0=5000000, q1=5100000.
->               client 2 q0: 5000000
      LatSieveTime: 10630
[05/01 01:44:19] GGNFS-0.77.1-20060722-k8 : procrels
[05/01 01:44:48] There were 56158/412942 duplicates.
[05/01 01:44:48] RelProcTime: 29.1
[05/01 01:44:58] largePrimes: 5198471 , relations: 4939059
[05/01 01:44:58] GGNFS-0.77.1-20060722-k8 : matbuild
[05/01 01:45:22] largePrimes: 5198471 , relations: 4939059
[05/01 01:45:40] Heap stats for matbuild run.
[05/01 01:45:40] Max heap usage: 180 MB
[05/01 01:45:40] malloc/realloc errors: 0 
[05/01 01:45:40] total malloc's : 263 
[05/01 01:45:40] total realloc's: 111 
[05/01 01:45:40] rels:4939059, initialFF:0, finalFF:471350
-> makeJobFile(): Adjusted to q0=5100000, q1=5200000.
->               client 1 q0: 5100000
    LatSieveTime: 10712
-> makeJobFile(): Adjusted to q0=5200000, q1=5300000.
->               client 2 q0: 5200000
      LatSieveTime: 10796
[05/01 04:45:37] GGNFS-0.77.1-20060722-k8 : procrels
[05/01 04:46:06] There were 58137/409481 duplicates.
[05/01 04:46:06] RelProcTime: 29.1
[05/01 04:46:17] largePrimes: 5427423 , relations: 5290403
[05/01 04:46:17] GGNFS-0.77.1-20060722-k8 : matbuild
   LatSieveTime: 10796
-> makeJobFile(): Adjusted to q0=5400000, q1=5500000.
->               client 2 q0: 5400000
[05/01 04:46:44] largePrimes: 5427423 , relations: 5290403
[05/01 04:47:10] Heap stats for matbuild run.
[05/01 04:47:10] Max heap usage: 192 MB
[05/01 04:47:10] malloc/realloc errors: 0 
[05/01 04:47:10] total malloc's : 288 
[05/01 04:47:10] total realloc's: 126 
[05/01 04:47:10] rels:5290403, initialFF:0, finalFF:563606
-> makeJobFile(): Adjusted to q0=5300000, q1=5400000.
->               client 1 q0: 5300000
       LatSieveTime: 10688
-> makeJobFile(): Adjusted to q0=5600000, q1=5700000.
->               client 2 q0: 5600000
      LatSieveTime: 10897
[05/01 07:48:48] GGNFS-0.77.1-20060722-k8 : procrels
[05/01 07:49:30] There were 90260/605038 duplicates.
[05/01 07:49:30] RelProcTime: 41.8
[05/01 07:49:42] largePrimes: 5746380 , relations: 5805181
[05/01 07:49:42] GGNFS-0.77.1-20060722-k8 : matbuild
[05/01 07:50:12] largePrimes: 5746380 , relations: 5805181
[05/01 07:50:44] Heap stats for matbuild run.
[05/01 07:50:44] Max heap usage: 210 MB
[05/01 07:50:44] malloc/realloc errors: 0 
[05/01 07:50:44] total malloc's : 266 
[05/01 07:50:44] total realloc's: 122 
[05/01 07:50:44] rels:5805181, initialFF:0, finalFF:721470
-> makeJobFile(): Adjusted to q0=5500000, q1=5600000.
->               client 1 q0: 5500000
    LatSieveTime: 10544
-> makeJobFile(): Adjusted to q0=5800000, q1=5900000.
->               client 2 q0: 5800000
      LatSieveTime: 10665
[05/01 10:48:29] GGNFS-0.77.1-20060722-k8 : procrels
[05/01 10:48:59] There were 60297/389624 duplicates.
[05/01 10:48:59] RelProcTime: 29.7
[05/01 10:49:12] largePrimes: 5941492 , relations: 6134508
[05/01 10:49:12] GGNFS-0.77.1-20060722-k8 : matbuild
[05/01 10:49:44] largePrimes: 5941492 , relations: 6134508
[05/01 10:50:43] reduceRelSets dropped relation-set weight from 5763372 to 5457116.
[05/01 10:50:43] After removing heavy rel-sets, weight is 5285905.
[05/01 10:51:38] Heap stats for matbuild run.
[05/01 10:51:38] Max heap usage: 221 MB
[05/01 10:51:38] malloc/realloc errors: 0 
[05/01 10:51:38] total malloc's : 296 
[05/01 10:51:38] total realloc's: 125 
[05/01 10:51:38] rels:6134508, initialFF:0, finalFF:829668
[05/01 10:51:38] depinf file written. Run matprune.
[05/01 10:51:38] GGNFS-0.77.1-20060722-k8 : matprune
[05/01 10:51:44] Pruning matrix with wt=0.050
[05/01 10:51:44] Initial matrix is 696864 x 829668 with sparse part having weight 55904624.
[05/01 10:51:44] (total weight is 97480142)
[05/01 11:11:38] Matrix pruned to 591601 x 595149 with weight 39156497.
[05/01 11:11:39] Matrix is pruned. Run matsolve.
[05/01 11:11:39] Heap stats for matprune run:
[05/01 11:11:39] Max heap usage: 319 MB
[05/01 11:11:39] malloc/realloc errors: 0 
[05/01 11:11:39] total malloc's : 11 
[05/01 11:11:39] total realloc's: 0 
[05/01 11:11:39] GGNFS-0.77.1-20060722-k8 : matsolve (seed=1758920902)
    LatSieveTime: 11859
[05/02 03:43:39] GGNFS-0.77.1-20060722-k8 : matsolve (seed=860810583)
[05/02 16:09:46] GGNFS-0.77.1-20060722-k8 : sqrt
[05/02 16:10:08] GGNFS-0.77.1-20060722-k8 : sqrt
[05/02 16:10:21] GGNFS-0.77.1-20060722-k8 : matsolve (seed=2161365188)
[05/02 16:12:43] GGNFS-0.77.1-20060722-k8 : matsolve (seed=2207730478)
[05/02 16:22:21] GGNFS-0.77.1-20060722-k8 : matsolve (seed=2923046969)
[05/02 16:22:33] GGNFS-0.77.1-20060722-k8 : matsolve (seed=3488979225)
[05/02 22:46:03] BLanczosTime: 23008.5
[05/02 22:46:03] Heap stats for matsolve run:
[05/02 22:46:03] Max heap usage: 180 MB
[05/02 22:46:03] malloc/realloc errors: 0 
[05/02 22:46:03] total malloc's : 9 
[05/02 22:46:03] total realloc's: 0 
[05/02 22:46:32] GGNFS-0.77.1-20060722-k8 : sqrt
[05/02 22:46:32] bmultiplier=1
[05/02 22:52:16] From dependence 1, sqrt obtained:
[05/02 22:52:16]   r1=281757056083773741232137178028737834794104880024291453340088245329928734185858405370672594988276144001927978351950713117289357114693
[05/02 22:52:16]   r2=1
[05/02 22:52:16] sqrtTime: 343.5
[05/02 22:52:28] GGNFS-0.77.1-20060722-k8 : sqrt
[05/02 22:52:28] bmultiplier=1
[05/02 22:58:20] From dependence 2, sqrt obtained:
[05/02 22:58:20]   r1=31445722457122043977687400352333915199796312519950578127 (pp56)
[05/02 22:58:20]   r2=8960107578000945594964516537852622453791282510444775001014858922521752127659 (pp76)
[05/02 22:58:20] (pp=probable prime, c=composite)
[05/02 22:58:20] sqrtTime: 352.3

4×10165+3

c141

name 名前suberi
date 日付June 5, 2007 11:36:53 UTC 2007 年 6 月 5 日 (火) 20 時 36 分 53 秒 (日本時間)
composite number 合成数
105146485196365567623014507999853467350064984081021819135992918418043204012887121735462651935806516946465904815546455640164689463671064379077<141>
prime factors 素因数
17162193244336712083651773667387<32>
6126634498248786631325750859569676596678356085694049608225501662771812141931771359526911934006293383097455871<109>
factorization results 素因数分解の結果
Input number is 105146485196365567623014507999853467350064984081021819135992918418043204012887121735462651935806516946465904815546455640164689463671064379077 (141 digits)
Using B1=5000000, B2=11416314010, polynomial Dickson(12), sigma=943201141
Step 1 took 103990ms
Step 2 took 48563ms
********** Factor found in step 2: 17162193244336712083651773667387
Found probable prime factor of 32 digits: 17162193244336712083651773667387
Probable prime cofactor 6126634498248786631325750859569676596678356085694049608225501662771812141931771359526911934006293383097455871 has 109 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

4×10167+3

c131

name 名前suberi
date 日付September 1, 2008 09:22:33 UTC 2008 年 9 月 1 日 (月) 18 時 22 分 33 秒 (日本時間)
composite number 合成数
74223632824287101220549315945782000862835222389763578613791663462566236830006268443320120891440306051384873701485049523314547213213<131>
prime factors 素因数
9040172761574724472563661611963885082577<40>
8210421944564469678826128815336450569971653908303104793893829949559207978039441352980000269<91>
factorization results 素因数分解の結果
Run 691 out of 904:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4208089882
Step 1 took 18313ms
Step 2 took 9062ms
********** Factor found in step 2: 9040172761574724472563661611963885082577
Found probable prime factor of 40 digits: 9040172761574724472563661611963885082577
Probable prime cofactor 8210421944564469678826128815336450569971653908303104793893829949559207978039441352980000269 has 91 digits
software ソフトウェア
GMP-ECM 6.2.1
execution environment 実行環境
Pentium 4 2.4GHz, Windows 2000

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMay 25, 2007 09:00:00 UTC 2007 年 5 月 25 日 (金) 18 時 0 分 0 秒 (日本時間)
351e6904Jo Yeong UkJuly 24, 2008 07:50:29 UTC 2008 年 7 月 24 日 (木) 16 時 50 分 29 秒 (日本時間)

4×10169+3

c158

name 名前suberi
date 日付June 8, 2007 06:20:44 UTC 2007 年 6 月 8 日 (金) 15 時 20 分 44 秒 (日本時間)
composite number 合成数
15003238618515511364433399371609053541609765088583966304046554857283775996711979691678670461068144582965292604928883210537114188713021327893612607173626123649<158>
prime factors 素因数
1095863878505531791352248008590604473<37>
13690786705166299346121105341688039593329430814257896520268003985603036085194932170203623925361810203165403423559971573513<122>
factorization results 素因数分解の結果
Input number is 15003238618515511364433399371609053541609765088583966304046554857283775996711979691678670461068144582965292604928883210537114188713021327893612607173626123649 (158 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1598264602
Step 1 took 264484ms
********** Factor found in step 1: 1095863878505531791352248008590604473
Found probable prime factor of 37 digits: 1095863878505531791352248008590604473
Probable prime cofactor 13690786705166299346121105341688039593329430814257896520268003985603036085194932170203623925361810203165403423559971573513 has 122 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

4×10170+3

c146

name 名前suberi
date 日付June 6, 2007 03:44:56 UTC 2007 年 6 月 6 日 (水) 12 時 44 分 56 秒 (日本時間)
composite number 合成数
13194225802718954484884746970493675759978654136708034201864760227887138084319494195644053211995397412415417223957508105089242497281224540704868071<146>
prime factors 素因数
9091674957193157331925985427613<31>
composite cofactor 合成数の残り
1451242577945435488202684730983697729965218073649465682642517742785018455031453318180555507115689620266670700586067<115>
factorization results 素因数分解の結果
Input number is 13194225802718954484884746970493675759978654136708034201864760227887138084319494195644053211995397412415417223957508105089242497281224540704868071 (146 digits)
Using B1=5000000, B2=11416314010, polynomial Dickson(12), sigma=1435742688
Step 1 took 110870ms
Step 2 took 49702ms
********** Factor found in step 2: 9091674957193157331925985427613
Found probable prime factor of 31 digits: 9091674957193157331925985427613
Composite cofactor 1451242577945435488202684730983697729965218073649465682642517742785018455031453318180555507115689620266670700586067 has 115 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

c115

name 名前honeycrack7
date 日付July 28, 2007 10:38:44 UTC 2007 年 7 月 28 日 (土) 19 時 38 分 44 秒 (日本時間)
composite number 合成数
1451242577945435488202684730983697729965218073649465682642517742785018455031453318180555507115689620266670700586067<115>
prime factors 素因数
5519848976962319518553726010848147162459426482482457<52>
262913457234491688131920560141939578410279343647748980394630731<63>
factorization results 素因数分解の結果
[06/15 22:34:21] GGNFS-0.77.1-20060513-k8 : makefb
[06/15 22:34:31] name: 
[06/15 22:34:31] n=1451242577945435488202684730983697729965218073649465682642517742785018455031453318180555507115689620266670700586067 (115 digits)
[06/15 22:34:31] c0: 3
[06/15 22:34:31] c1: 0
[06/15 22:34:31] c2: 0
[06/15 22:34:31] c3: 0
[06/15 22:34:31] c4: 0
[06/15 22:34:31] c5: 4
[06/15 22:34:31] RFBsize: 412849 (upto 5999993)
[06/15 22:34:31] AFBsize: 412766 (upto 5999993)
[06/15 22:34:31] maxNumLargeRatPrimes: 3
[06/15 22:34:31] maxLargeRatPrime: 134217728
[06/15 22:34:31] maxNumLargeAlgPrimes: 3
[06/15 22:34:31] maxLargeAlgPrime: 134217728
->               minimum number of FF's: 924760
-> makeJobFile(): Adjusted to q0=3000000, q1=3100000.
->               client 1 q0: 3000000
  LatSieveTime: 12
-> makeJobFile(): Adjusted to q0=3000077, q1=3100000.
->               minimum number of FF's: 924760
-> makeJobFile(): Adjusted to q0=3000077, q1=3100000.
->               client 1 q0: 3000077
      LatSieveTime: 16760
[06/16 03:14:24] GGNFS-0.77.1-20060513-k8 : procrels
[06/16 03:14:46] There were 827/195440 duplicates.
[06/16 03:14:46] RelProcTime: 20.2
[06/16 03:14:48] largePrimes: 341049 , relations: 194613
[06/16 03:14:48] GGNFS-0.77.1-20060513-k8 : matbuild
[06/16 03:14:51] largePrimes: 341049 , relations: 194613
[06/16 03:14:51] Heap stats for matbuild run, after cycle-building
[06/16 03:14:51] Max heap usage: 61 MB
[06/16 03:14:51] malloc/realloc errors: 0 
[06/16 03:14:51] total malloc's : 52 
[06/16 03:14:51] total realloc's: 18 
[06/16 03:14:51] rels:194613, initialFF:0, finalFF:8900
-> makeJobFile(): Adjusted to q0=3100001, q1=3200000.
->               client 1 q0: 3100001
   LatSieveTime: 15960
[06/16 07:40:53] GGNFS-0.77.1-20060513-k8 : procrels
[06/16 07:41:16] There were 2467/193983 duplicates.
[06/16 07:41:16] RelProcTime: 21.1
[06/16 07:41:18] largePrimes: 654762 , relations: 386129
[06/16 07:41:19] GGNFS-0.77.1-20060513-k8 : matbuild
[06/16 07:41:24] largePrimes: 654762 , relations: 386129
[06/16 07:41:24] Heap stats for matbuild run, after cycle-building
[06/16 07:41:24] Max heap usage: 91 MB
[06/16 07:41:24] malloc/realloc errors: 0 
[06/16 07:41:24] total malloc's : 54 
[06/16 07:41:24] total realloc's: 20 
[06/16 07:41:24] rels:386129, initialFF:0, finalFF:18263
-> makeJobFile(): Adjusted to q0=3200001, q1=3300000.
->               client 1 q0: 3200001
 LatSieveTime: 17044
[06/16 12:25:32] GGNFS-0.77.1-20060513-k8 : procrels
[06/16 12:25:57] There were 3925/190064 duplicates.
[06/16 12:25:57] RelProcTime: 22.4
[06/16 12:26:00] largePrimes: 941244 , relations: 572268
[06/16 12:26:01] GGNFS-0.77.1-20060513-k8 : matbuild
[06/16 12:26:08] largePrimes: 941244 , relations: 572268
[06/16 12:26:08] Heap stats for matbuild run, after cycle-building
[06/16 12:26:08] Max heap usage: 121 MB
[06/16 12:26:08] malloc/realloc errors: 0 
[06/16 12:26:08] total malloc's : 67 
[06/16 12:26:08] total realloc's: 25 
[06/16 12:26:08] rels:572268, initialFF:0, finalFF:27657
-> makeJobFile(): Adjusted to q0=3300001, q1=3400000.
->               client 1 q0: 3300001
        LatSieveTime: 15807
[06/16 16:49:37] GGNFS-0.77.1-20060513-k8 : procrels
[06/16 16:50:04] There were 5191/186364 duplicates.
[06/16 16:50:04] RelProcTime: 23.9
[06/16 16:50:08] largePrimes: 1205485 , relations: 753441
[06/16 16:50:09] GGNFS-0.77.1-20060513-k8 : matbuild
[06/16 16:50:18] largePrimes: 1205485 , relations: 753441
[06/16 16:50:18] Heap stats for matbuild run, after cycle-building
[06/16 16:50:18] Max heap usage: 150 MB
[06/16 16:50:18] malloc/realloc errors: 0 
[06/16 16:50:18] total malloc's : 69 
[06/16 16:50:18] total realloc's: 28 
[06/16 16:50:18] rels:753441, initialFF:0, finalFF:37193
-> makeJobFile(): Adjusted to q0=3400001, q1=3500000.
->               client 1 q0: 3400001
      LatSieveTime: 15897
[06/16 21:15:17] GGNFS-0.77.1-20060513-k8 : procrels
[06/16 21:15:43] There were 6808/192448 duplicates.
[06/16 21:15:43] RelProcTime: 24.1
[06/16 21:15:48] largePrimes: 1462328 , relations: 939081
[06/16 21:15:48] GGNFS-0.77.1-20060513-k8 : matbuild
[06/16 21:15:59] largePrimes: 1462328 , relations: 939081
[06/16 21:16:00] Heap stats for matbuild run, after cycle-building
[06/16 21:16:00] Max heap usage: 179 MB
[06/16 21:16:00] malloc/realloc errors: 0 
[06/16 21:16:00] total malloc's : 75 
[06/16 21:16:00] total realloc's: 32 
[06/16 21:16:00] rels:939081, initialFF:0, finalFF:47224
-> makeJobFile(): Adjusted to q0=3500001, q1=3600000.
->               client 1 q0: 3500001
      LatSieveTime: 15024
[06/17 01:26:25] GGNFS-0.77.1-20060513-k8 : procrels
[06/17 01:27:10] There were 7543/181975 duplicates.
[06/17 01:27:10] RelProcTime: 27.2
[06/17 01:27:19] largePrimes: 1691413 , relations: 1113513
[06/17 01:27:19] GGNFS-0.77.1-20060513-k8 : matbuild
[06/17 01:27:39] largePrimes: 1691413 , relations: 1113513
[06/17 01:27:40] Heap stats for matbuild run, after cycle-building
[06/17 01:27:40] Max heap usage: 90 MB
[06/17 01:27:40] malloc/realloc errors: 0 
[06/17 01:27:40] total malloc's : 104 
[06/17 01:27:40] total realloc's: 36 
[06/17 01:27:40] rels:1113513, initialFF:0, finalFF:57285
-> makeJobFile(): Adjusted to q0=3600001, q1=3700000.
->               client 1 q0: 3600001
   LatSieveTime: 16061
[06/17 05:55:23] GGNFS-0.77.1-20060513-k8 : procrels
[06/17 05:55:53] There were 9050/185330 duplicates.
[06/17 05:55:53] RelProcTime: 27.1
[06/17 05:56:01] largePrimes: 1912836 , relations: 1289793
[06/17 05:56:01] GGNFS-0.77.1-20060513-k8 : matbuild
[06/17 05:56:19] largePrimes: 1912836 , relations: 1289793
[06/17 05:56:20] Heap stats for matbuild run, after cycle-building
[06/17 05:56:20] Max heap usage: 96 MB
[06/17 05:56:20] malloc/realloc errors: 0 
[06/17 05:56:20] total malloc's : 115 
[06/17 05:56:20] total realloc's: 41 
[06/17 05:56:20] rels:1289793, initialFF:0, finalFF:67802
-> makeJobFile(): Adjusted to q0=3700001, q1=3800000.
->               client 1 q0: 3700001
   LatSieveTime: 15787
[06/17 10:19:31] GGNFS-0.77.1-20060513-k8 : procrels
[06/17 10:20:03] There were 9852/180004 duplicates.
[06/17 10:20:03] RelProcTime: 28.7
[06/17 10:20:13] largePrimes: 2117852 , relations: 1459945
[06/17 10:20:13] GGNFS-0.77.1-20060513-k8 : matbuild
[06/17 10:20:33] largePrimes: 2117852 , relations: 1459945
[06/17 10:20:34] Heap stats for matbuild run, after cycle-building
[06/17 10:20:34] Max heap usage: 102 MB
[06/17 10:20:34] malloc/realloc errors: 0 
[06/17 10:20:34] total malloc's : 115 
[06/17 10:20:34] total realloc's: 42 
[06/17 10:20:34] rels:1459945, initialFF:0, finalFF:78503
-> makeJobFile(): Adjusted to q0=3800001, q1=3900000.
->               client 1 q0: 3800001
  LatSieveTime: 17047
[06/17 15:04:43] GGNFS-0.77.1-20060513-k8 : procrels
[06/17 15:05:18] There were 10814/179202 duplicates.
[06/17 15:05:18] RelProcTime: 32.4
[06/17 15:05:29] largePrimes: 2312550 , relations: 1628333
[06/17 15:05:29] GGNFS-0.77.1-20060513-k8 : matbuild
[06/17 15:05:54] largePrimes: 2312550 , relations: 1628333
[06/17 15:05:56] Heap stats for matbuild run, after cycle-building
[06/17 15:05:56] Max heap usage: 107 MB
[06/17 15:05:56] malloc/realloc errors: 0 
[06/17 15:05:56] total malloc's : 115 
[06/17 15:05:56] total realloc's: 46 
[06/17 15:05:56] rels:1628333, initialFF:0, finalFF:89382
-> makeJobFile(): Adjusted to q0=3900001, q1=4000000.
->               client 1 q0: 3900001
 LatSieveTime: 19325
[06/17 20:28:02] GGNFS-0.77.1-20060513-k8 : procrels
[06/17 20:28:37] There were 11679/177612 duplicates.
[06/17 20:28:37] RelProcTime: 32.0
[06/17 20:28:49] largePrimes: 2497625 , relations: 1794266
[06/17 20:28:49] GGNFS-0.77.1-20060513-k8 : matbuild
[06/17 20:30:02] largePrimes: 2497625 , relations: 1794266
[06/17 20:30:04] Heap stats for matbuild run, after cycle-building
[06/17 20:30:04] Max heap usage: 114 MB
[06/17 20:30:04] malloc/realloc errors: 0 
[06/17 20:30:04] total malloc's : 130 
[06/17 20:30:04] total realloc's: 52 
[06/17 20:30:04] rels:1794266, initialFF:0, finalFF:100775
-> makeJobFile(): Adjusted to q0=4000001, q1=4100000.
->               client 1 q0: 4000001
        LatSieveTime: 11023
-> makeJobFile(): Adjusted to q0=4058321, q1=4100000.
->               minimum number of FF's: 924760
-> makeJobFile(): Adjusted to q0=4058321, q1=4100000.
->               client 1 q0: 4058321
      LatSieveTime: 7186
[06/22 21:28:57] GGNFS-0.77.1-20060513-k8 : procrels
[06/22 21:29:43] There were 12659/179169 duplicates.
[06/22 21:29:43] RelProcTime: 42.1
[06/22 21:30:00] largePrimes: 2676555 , relations: 1960776
[06/22 21:30:00] GGNFS-0.77.1-20060513-k8 : matbuild
[06/22 21:30:42] largePrimes: 2676555 , relations: 1960776
[06/22 21:30:43] Heap stats for matbuild run, after cycle-building
[06/22 21:30:43] Max heap usage: 120 MB
[06/22 21:30:43] malloc/realloc errors: 0 
[06/22 21:30:43] total malloc's : 136 
[06/22 21:30:43] total realloc's: 56 
[06/22 21:30:43] rels:1960776, initialFF:0, finalFF:112743
-> makeJobFile(): Adjusted to q0=4200000, q1=4300000.
->               client 1 q0: 4200000
->               minimum number of FF's: 924760
-> makeJobFile(): Adjusted to q0=100000, q1=200000.
->               client 2 q0: 100000
  LatSieveTime: 768
-> makeJobFile(): Adjusted to q0=102913, q1=200000.
->               minimum number of FF's: 924760
-> makeJobFile(): Adjusted to q0=102913, q1=200000.
->               client 2 q0: 102913
   LatSieveTime: 19219
[06/23 02:51:05] GGNFS-0.77.1-20060513-k8 : procrels
[06/23 02:52:14] There were 13695/184051 duplicates.
[06/23 02:52:14] RelProcTime: 60.1
[06/23 02:52:38] largePrimes: 2852391 , relations: 2131132
[06/23 02:52:39] GGNFS-0.77.1-20060513-k8 : matbuild
[06/23 02:53:23] largePrimes: 2852391 , relations: 2131132
[06/23 02:53:26] Heap stats for matbuild run, after cycle-building
[06/23 02:53:26] Max heap usage: 127 MB
[06/23 02:53:26] malloc/realloc errors: 0 
[06/23 02:53:26] total malloc's : 136 
[06/23 02:53:26] total realloc's: 57 
[06/23 02:53:26] rels:2131132, initialFF:0, finalFF:126263
-> makeJobFile(): Adjusted to q0=4400000, q1=4500000.
->               client 1 q0: 4400000
        LatSieveTime: 19959
-> makeJobFile(): Adjusted to q0=300000, q1=400000.
->               client 2 q0: 300000
 LatSieveTime: 23186
[06/23 09:20:25] GGNFS-0.77.1-20060513-k8 : procrels
[06/23 09:25:25] There were 48681/403484 duplicates.
[06/23 09:25:25] RelProcTime: 283.9
[06/23 09:25:53] largePrimes: 3165524 , relations: 2485935
[06/23 09:25:53] GGNFS-0.77.1-20060513-k8 : matbuild
[06/23 09:26:55] largePrimes: 3165524 , relations: 2485935
[06/23 09:26:58] Heap stats for matbuild run, after cycle-building
[06/23 09:26:58] Max heap usage: 141 MB
[06/23 09:26:58] malloc/realloc errors: 0 
[06/23 09:26:58] total malloc's : 147 
[06/23 09:26:58] total realloc's: 64 
[06/23 09:26:58] rels:2485935, initialFF:0, finalFF:167964
-> makeJobFile(): Adjusted to q0=4600000, q1=4700000.
->               client 1 q0: 4600000
       LatSieveTime: 9878
-> makeJobFile(): Adjusted to q0=341839, q1=400000.
->               minimum number of FF's: 924760
-> makeJobFile(): Adjusted to q0=341839, q1=400000.
->               client 2 q0: 341839
   LatSieveTime: 12540
-> makeJobFile(): Adjusted to q0=500000, q1=600000.
->               client 2 q0: 500000
 LatSieveTime: 20287
[06/23 15:05:16] GGNFS-0.77.1-20060513-k8 : procrels
[06/23 15:08:07] There were 72402/500356 duplicates.
[06/23 15:08:07] RelProcTime: 168.6
[06/23 15:08:32] largePrimes: 3553619 , relations: 2913889
[06/23 15:08:32] GGNFS-0.77.1-20060513-k8 : matbuild
[06/23 15:09:25] largePrimes: 3553619 , relations: 2913889
[06/23 15:09:30] Heap stats for matbuild run, after cycle-building
[06/23 15:09:30] Max heap usage: 162 MB
[06/23 15:09:30] malloc/realloc errors: 0 
[06/23 15:09:30] total malloc's : 169 
[06/23 15:09:30] total realloc's: 75 
[06/23 15:09:30] rels:2913889, initialFF:0, finalFF:213806
-> makeJobFile(): Adjusted to q0=4800000, q1=4900000.
->               client 1 q0: 4800000
       LatSieveTime: 10755
-> makeJobFile(): Adjusted to q0=556769, q1=600000.
 LatSieveTime: 15832
-> makeJobFile(): Adjusted to q0=4884511, q1=4900000.
->               minimum number of FF's: 924760
-> makeJobFile(): Adjusted to q0=4884511, q1=4900000.
->               client 1 q0: 4884511
->               minimum number of FF's: 924760
-> makeJobFile(): Adjusted to q0=556769, q1=600000.
->               client 2 q0: 556769
        LatSieveTime: 3767
[06/24 02:10:13] GGNFS-0.77.1-20060513-k8 : procrels
[06/24 02:12:10] There were 51861/348924 duplicates.
[06/24 02:12:10] RelProcTime: 114.5
[06/24 02:12:42] largePrimes: 3812076 , relations: 3210952
[06/24 02:12:43] GGNFS-0.77.1-20060513-k8 : matbuild
[06/24 02:14:04] largePrimes: 3812076 , relations: 3210952
[06/24 02:14:11] Heap stats for matbuild run, after cycle-building
[06/24 02:14:11] Max heap usage: 174 MB
[06/24 02:14:11] malloc/realloc errors: 0 
[06/24 02:14:11] total malloc's : 179 
[06/24 02:14:11] total realloc's: 79 
[06/24 02:14:11] rels:3210952, initialFF:0, finalFF:248720
-> makeJobFile(): Adjusted to q0=5000000, q1=5100000.
->               client 1 q0: 5000000
       LatSieveTime: 9535
-> makeJobFile(): Adjusted to q0=700000, q1=800000.
->               client 2 q0: 700000
 LatSieveTime: 24874
[06/24 09:08:59] GGNFS-0.77.1-20060513-k8 : procrels
[06/24 09:15:12] There were 45689/300342 duplicates.
[06/24 09:15:12] RelProcTime: 98.0
[06/24 09:15:59] largePrimes: 4024865 , relations: 3465605
[06/24 09:16:07] GGNFS-0.77.1-20060513-k8 : matbuild
[06/24 09:18:21] largePrimes: 4024865 , relations: 3465605
[06/24 09:18:32] Heap stats for matbuild run, after cycle-building
[06/24 09:18:32] Max heap usage: 163 MB
[06/24 09:18:32] malloc/realloc errors: 0 
[06/24 09:18:32] total malloc's : 231 
[06/24 09:18:32] total realloc's: 92 
[06/24 09:18:32] rels:3465605, initialFF:0, finalFF:282296
-> makeJobFile(): Adjusted to q0=5200000, q1=5300000.
->               client 1 q0: 5200000
        LatSieveTime: 25202
-> makeJobFile(): Adjusted to q0=900000, q1=1000000.
->               client 2 q0: 900000
        LatSieveTime: 9000
-> makeJobFile(): Adjusted to q0=941513, q1=1000000.
        LatSieveTime: 23903
[06/24 15:57:07] GGNFS-0.77.1-20060513-k8 : procrels
[06/24 15:59:52] There were 108990/567606 duplicates.
[06/24 15:59:52] RelProcTime: 159.6
[06/24 16:01:13] largePrimes: 4386628 , relations: 3924221
[06/24 16:01:16] GGNFS-0.77.1-20060513-k8 : matbuild
[06/24 16:02:57] largePrimes: 4386628 , relations: 3924221
[06/24 16:03:09] Heap stats for matbuild run, after cycle-building
[06/24 16:03:09] Max heap usage: 178 MB
[06/24 16:03:09] malloc/realloc errors: 0 
[06/24 16:03:09] total malloc's : 242 
[06/24 16:03:09] total realloc's: 99 
[06/24 16:03:09] rels:3924221, initialFF:0, finalFF:353764
-> makeJobFile(): Adjusted to q0=5400000, q1=5500000.
->               client 1 q0: 5400000
      LatSieveTime: 18345
[06/24 21:08:59] GGNFS-0.77.1-20060513-k8 : procrels
[06/24 21:10:05] There were 20313/165826 duplicates.
[06/24 21:10:05] RelProcTime: 64.3
[06/24 21:10:39] largePrimes: 4498336 , relations: 4069734
[06/24 21:10:39] GGNFS-0.77.1-20060513-k8 : matbuild
[06/24 21:11:44] largePrimes: 4498336 , relations: 4069734
[06/24 21:11:53] Heap stats for matbuild run, after cycle-building
[06/24 21:11:53] Max heap usage: 183 MB
[06/24 21:11:53] malloc/realloc errors: 0 
[06/24 21:11:53] total malloc's : 234 
[06/24 21:11:53] total realloc's: 96 
[06/24 21:11:53] rels:4069734, initialFF:0, finalFF:378537
-> makeJobFile(): Adjusted to q0=5600000, q1=5700000.
->               client 1 q0: 5600000
->               minimum number of FF's: 924760
-> makeJobFile(): Adjusted to q0=5600000, q1=5700000.
->               client 1 q0: 5600000
       LatSieveTime: 17178
[06/30 21:15:20] GGNFS-0.77.1-20060513-k8 : procrels
[06/30 21:16:35] There were 20448/163592 duplicates.
[06/30 21:16:35] RelProcTime: 71.2
[06/30 21:17:12] largePrimes: 4606828 , relations: 4212878
[06/30 21:17:12] GGNFS-0.77.1-20060513-k8 : matbuild
[06/30 21:18:28] largePrimes: 4606828 , relations: 4212878
[06/30 21:18:37] Heap stats for matbuild run, after cycle-building
[06/30 21:18:37] Max heap usage: 188 MB
[06/30 21:18:37] malloc/realloc errors: 0 
[06/30 21:18:37] total malloc's : 235 
[06/30 21:18:37] total realloc's: 97 
[06/30 21:18:37] rels:4212878, initialFF:0, finalFF:404511
-> makeJobFile(): Adjusted to q0=5800000, q1=5900000.
->               client 1 q0: 5800000
        LatSieveTime: 26
-> makeJobFile(): Adjusted to q0=5800159, q1=5900000.
->               minimum number of FF's: 924760
-> makeJobFile(): Adjusted to q0=5800159, q1=5900000.
->               client 1 q0: 5800159
->               minimum number of FF's: 924760
-> makeJobFile(): Adjusted to q0=941513, q1=1000000.
->               client 2 q0: 941513
       LatSieveTime: 12893
-> makeJobFile(): Adjusted to q0=1100000, q1=1200000.
->               client 2 q0: 1100000
      LatSieveTime: 26542
[07/01 10:30:18] GGNFS-0.77.1-20060513-k8 : procrels
[07/01 10:36:45] There were 60638/323689 duplicates.
[07/01 10:36:45] RelProcTime: 373.2
[07/01 10:42:50] largePrimes: 4798789 , relations: 4475929
[07/01 10:42:54] GGNFS-0.77.1-20060513-k8 : matbuild
[07/01 10:51:28] largePrimes: 4798789 , relations: 4475929
[07/01 10:51:47] Heap stats for matbuild run, after cycle-building
[07/01 10:51:47] Max heap usage: 197 MB
[07/01 10:51:47] malloc/realloc errors: 0 
[07/01 10:51:47] total malloc's : 264 
[07/01 10:51:47] total realloc's: 109 
[07/01 10:51:47] rels:4475929, initialFF:0, finalFF:457205
-> makeJobFile(): Adjusted to q0=6000000, q1=6100000.
->               client 1 q0: 6000000
      LatSieveTime: 23765
-> makeJobFile(): Adjusted to q0=1197407, q1=1200000.
       LatSieveTime: 21690
[07/01 16:53:29] GGNFS-0.77.1-20060513-k8 : procrels
[07/01 16:54:57] There were 85304/411245 duplicates.
[07/01 16:54:57] RelProcTime: 84.4
[07/01 16:55:41] largePrimes: 5026969 , relations: 4801870
[07/01 16:55:41] GGNFS-0.77.1-20060513-k8 : matbuild
[07/01 16:57:03] largePrimes: 5026969 , relations: 4801870
[07/01 16:57:19] Heap stats for matbuild run, after cycle-building
[07/01 16:57:19] Max heap usage: 209 MB
[07/01 16:57:19] malloc/realloc errors: 0 
[07/01 16:57:19] total malloc's : 252 
[07/01 16:57:19] total realloc's: 106 
[07/01 16:57:19] rels:4801870, initialFF:0, finalFF:529957
-> makeJobFile(): Adjusted to q0=6200000, q1=6300000.
->               client 1 q0: 6200000
       LatSieveTime: 19407
[07/01 22:20:48] GGNFS-0.77.1-20060513-k8 : procrels
[07/01 22:21:32] There were 21958/159038 duplicates.
[07/01 22:21:32] RelProcTime: 42.4
[07/01 22:22:10] largePrimes: 5123060 , relations: 4938950
[07/01 22:22:10] GGNFS-0.77.1-20060513-k8 : matbuild
[07/01 22:23:25] largePrimes: 5123060 , relations: 4938950
[07/01 22:23:42] Heap stats for matbuild run, after cycle-building
[07/01 22:23:42] Max heap usage: 215 MB
[07/01 22:23:42] malloc/realloc errors: 0 
[07/01 22:23:42] total malloc's : 263 
[07/01 22:23:42] total realloc's: 112 
[07/01 22:23:42] rels:4938950, initialFF:0, finalFF:561492
-> makeJobFile(): Adjusted to q0=6400000, q1=6500000.
->               client 1 q0: 6400000
->               minimum number of FF's: 924760
-> makeJobFile(): Adjusted to q0=6400000, q1=6500000.
->               client 1 q0: 6400000
      LatSieveTime: 16307
[07/02 23:59:39] GGNFS-0.77.1-20060513-k8 : procrels
[07/03 00:00:23] There were 21870/159076 duplicates.
[07/03 00:00:23] RelProcTime: 42.9
[07/03 00:01:01] largePrimes: 5217330 , relations: 5076156
[07/03 00:01:01] GGNFS-0.77.1-20060513-k8 : matbuild
[07/03 00:02:14] largePrimes: 5217330 , relations: 5076156
[07/03 00:02:29] Heap stats for matbuild run, after cycle-building
[07/03 00:02:29] Max heap usage: 217 MB
[07/03 00:02:29] malloc/realloc errors: 0 
[07/03 00:02:29] total malloc's : 254 
[07/03 00:02:29] total realloc's: 110 
[07/03 00:02:29] rels:5076156, initialFF:0, finalFF:594879
-> makeJobFile(): Adjusted to q0=6600000, q1=6700000.
->               client 1 q0: 6600000
->               minimum number of FF's: 924760
-> makeJobFile(): Adjusted to q0=6600000, q1=6700000.
->               client 1 q0: 6600000
      LatSieveTime: 16429
[07/04 23:34:09] GGNFS-0.77.1-20060513-k8 : procrels
[07/04 23:35:23] There were 21472/155553 duplicates.
[07/04 23:35:23] RelProcTime: 69.6
[07/04 23:36:10] largePrimes: 5307821 , relations: 5210237
[07/04 23:36:12] GGNFS-0.77.1-20060513-k8 : matbuild
[07/04 23:38:02] largePrimes: 5307821 , relations: 5210237
[07/04 23:38:23] Heap stats for matbuild run, after cycle-building
[07/04 23:38:23] Max heap usage: 224 MB
[07/04 23:38:23] malloc/realloc errors: 0 
[07/04 23:38:23] total malloc's : 269 
[07/04 23:38:23] total realloc's: 115 
[07/04 23:38:23] rels:5210237, initialFF:0, finalFF:629203
-> makeJobFile(): Adjusted to q0=6700001, q1=6800000.
->               client 1 q0: 6700001
->               minimum number of FF's: 924760
-> makeJobFile(): Adjusted to q0=6700001, q1=6800000.
->               client 1 q0: 6700001
      LatSieveTime: 16944
-> makeJobFile(): Adjusted to q0=6785197, q1=6800000.
->               minimum number of FF's: 924760
-> makeJobFile(): Adjusted to q0=6800000, q1=6900000.
->               client 1 q0: 6800000
      LatSieveTime: 21265
[07/07 01:38:29] GGNFS-0.77.1-20060513-k8 : procrels
[07/07 01:39:51] There were 41687/295243 duplicates.
[07/07 01:39:51] RelProcTime: 80.7
[07/07 01:40:46] largePrimes: 5475379 , relations: 5463793
[07/07 01:40:46] GGNFS-0.77.1-20060513-k8 : matbuild
[07/07 01:42:33] largePrimes: 5475379 , relations: 5463793
[07/07 01:42:59] Heap stats for matbuild run, after cycle-building
[07/07 01:42:59] Max heap usage: 231 MB
[07/07 01:42:59] malloc/realloc errors: 0 
[07/07 01:42:59] total malloc's : 237 
[07/07 01:42:59] total realloc's: 109 
[07/07 01:42:59] rels:5463793, initialFF:0, finalFF:697972
-> makeJobFile(): Adjusted to q0=7000000, q1=7100000.
->               client 1 q0: 7000000
->               minimum number of FF's: 924760
-> makeJobFile(): Adjusted to q0=7000000, q1=7100000.
->               client 1 q0: 7000000
      LatSieveTime: 16872
[07/10 12:17:44] GGNFS-0.77.1-20060513-k8 : procrels
[07/10 12:18:41] There were 21582/153177 duplicates.
[07/10 12:18:41] RelProcTime: 55.2
[07/10 12:19:23] largePrimes: 5560364 , relations: 5595388
[07/10 12:19:25] GGNFS-0.77.1-20060513-k8 : matbuild
[07/10 12:20:47] largePrimes: 5560364 , relations: 5595388
[07/10 12:21:07] Heap stats for matbuild run, after cycle-building
[07/10 12:21:07] Max heap usage: 237 MB
[07/10 12:21:07] malloc/realloc errors: 0 
[07/10 12:21:07] total malloc's : 246 
[07/10 12:21:07] total realloc's: 111 
[07/10 12:21:07] rels:5595388, initialFF:0, finalFF:735972
-> makeJobFile(): Adjusted to q0=7100001, q1=7200000.
->               client 1 q0: 7100001
       LatSieveTime: 14258
[07/10 16:18:46] GGNFS-0.77.1-20060513-k8 : procrels
[07/10 16:19:26] There were 21067/146129 duplicates.
[07/10 16:19:26] RelProcTime: 39.3
[07/10 16:20:08] largePrimes: 5639640 , relations: 5720450
[07/10 16:20:08] GGNFS-0.77.1-20060513-k8 : matbuild
[07/10 16:21:31] largePrimes: 5639640 , relations: 5720450
[07/10 16:21:53] Heap stats for matbuild run, after cycle-building
[07/10 16:21:53] Max heap usage: 243 MB
[07/10 16:21:53] malloc/realloc errors: 0 
[07/10 16:21:53] total malloc's : 266 
[07/10 16:21:53] total realloc's: 118 
[07/10 16:21:53] rels:5720450, initialFF:0, finalFF:773660
-> makeJobFile(): Adjusted to q0=7200001, q1=7300000.
->               client 1 q0: 7200001
       LatSieveTime: 15439
[07/10 20:39:14] GGNFS-0.77.1-20060513-k8 : procrels
[07/10 20:40:18] There were 22257/152859 duplicates.
[07/10 20:40:18] RelProcTime: 57.2
[07/10 20:41:04] largePrimes: 5721648 , relations: 5851052
[07/10 20:41:05] GGNFS-0.77.1-20060513-k8 : matbuild
[07/10 20:43:42] largePrimes: 5721648 , relations: 5851052
[07/10 20:44:20] Heap stats for matbuild run, after cycle-building
[07/10 20:44:20] Max heap usage: 244 MB
[07/10 20:44:20] malloc/realloc errors: 0 
[07/10 20:44:20] total malloc's : 247 
[07/10 20:44:20] total realloc's: 115 
[07/10 20:44:20] rels:5851052, initialFF:0, finalFF:814304
-> makeJobFile(): Adjusted to q0=7300001, q1=7400000.
->               client 1 q0: 7300001
->               minimum number of FF's: 924760
-> makeJobFile(): Adjusted to q0=7400000, q1=7500000.
->               client 1 q0: 7400000
->               minimum number of FF's: 924760
-> makeJobFile(): Adjusted to q0=1197407, q1=1200000.
->               client 2 q0: 1197407
     LatSieveTime: 467
-> makeJobFile(): Adjusted to q0=1300000, q1=1400000.
->               client 2 q0: 1300000
      LatSieveTime: 18811
-> makeJobFile(): Adjusted to q0=1500000, q1=1600000.
->               client 2 q0: 1500000
      LatSieveTime: 20022
[07/11 19:21:38] GGNFS-0.77.1-20060513-k8 : procrels
[07/11 19:23:29] There were 96140/398579 duplicates.
[07/11 19:23:29] RelProcTime: 107.4
[07/11 19:24:29] largePrimes: 5903634 , relations: 6153491
[07/11 19:24:30] GGNFS-0.77.1-20060513-k8 : matbuild
[07/11 19:26:30] largePrimes: 5903634 , relations: 6153491
[07/11 19:27:10] Heap stats for matbuild run, after cycle-building
[07/11 19:27:10] Max heap usage: 256 MB
[07/11 19:27:10] malloc/realloc errors: 0 
[07/11 19:27:10] total malloc's : 266 
[07/11 19:27:10] total realloc's: 123 
[07/11 19:27:10] rels:6153491, initialFF:0, finalFF:916340
-> makeJobFile(): Adjusted to q0=7600000, q1=7700000.
->               client 1 q0: 7600000
      LatSieveTime: 18729
-> makeJobFile(): Adjusted to q0=1700000, q1=1800000.
->               client 2 q0: 1700000
->               minimum number of FF's: 924760
-> makeJobFile(): Adjusted to q0=7600000, q1=7700000.
->               client 1 q0: 7600000
->               minimum number of FF's: 924760
-> makeJobFile(): Adjusted to q0=1700000, q1=1800000.
->               client 2 q0: 1700000
    LatSieveTime: 20709
[07/13 12:57:32] GGNFS-0.77.1-20060513-k8 : procrels
   LatSieveTime: 20666
-> makeJobFile(): Adjusted to q0=1900000, q1=2000000.
->               client 2 q0: 1900000
[07/13 13:05:43] There were 93399/381069 duplicates.
[07/13 13:05:43] RelProcTime: 440.4
[07/13 13:10:14] largePrimes: 6071282 , relations: 6441161
[07/13 13:10:16] GGNFS-0.77.1-20060513-k8 : matbuild
[07/13 13:16:15] largePrimes: 6071282 , relations: 6441161
[07/13 13:17:48] reduceRelSets dropped relation-set weight from 5480905 to 5251146.
[07/13 13:17:49] After removing heavy rel-sets, weight is 5186636.
[07/13 13:23:44] Heap stats for matbuild run, after cycle-building
[07/13 13:23:44] Max heap usage: 288 MB
[07/13 13:23:44] malloc/realloc errors: 0 
[07/13 13:23:44] total malloc's : 299 
[07/13 13:23:44] total realloc's: 124 
[07/13 13:23:44] rels:6441161, initialFF:0, finalFF:1018049
[07/13 13:24:15] Pruning matrix with wt=0.050
[07/13 13:24:15] Initial matrix is 825682 x 1018049 with sparse part having weight 58012594.
[07/13 13:24:15] (total weight is 104401763)
[07/13 13:45:23] Matrix pruned to 650609 x 654801 with weight 35863420.
[07/13 13:45:35] depinf file written. Run matsolve.
[07/13 13:45:35] Heap stats for matbuild run:
[07/13 13:45:35] Max heap usage: 333 MB
[07/13 13:45:35] malloc/realloc errors: 0 
[07/13 13:45:35] total malloc's : 308 
[07/13 13:45:35] total realloc's: 124 
[07/13 13:45:38] GGNFS-0.77.1-20060513-k8 : matsolve (seed=-201371912)
 LatSieveTime: 19348
[07/13 20:49:14] BLanczosTime: 25411.6
[07/13 20:49:14] Heap stats for matsolve run:
[07/13 20:49:14] Max heap usage: 160 MB
[07/13 20:49:14] malloc/realloc errors: 0 
[07/13 20:49:14] total malloc's : 7 
[07/13 20:49:14] total realloc's: 0 
[07/13 20:49:16] GGNFS-0.77.1-20060513-k8 : sqrt
[07/13 20:49:20] bmultiplier=2
[07/13 21:07:33] From dependence 0, sqrt obtained:
[07/13 21:07:33]   r1=1
[07/13 21:07:33]   r2=1451242577945435488202684730983697729965218073649465682642517742785018455031453318180555507115689620266670700586067
[07/13 21:07:33] sqrtTime: 1097.4
[07/13 21:07:35] GGNFS-0.77.1-20060513-k8 : sqrt
[07/13 21:07:40] bmultiplier=2
[07/13 21:25:52] From dependence 1, sqrt obtained:
[07/13 21:25:52]   r1=1451242577945435488202684730983697729965218073649465682642517742785018455031453318180555507115689620266670700586067
[07/13 21:25:52]   r2=1
[07/13 21:25:52] sqrtTime: 1096.0
[07/13 21:25:53] GGNFS-0.77.1-20060513-k8 : sqrt
[07/13 21:25:56] bmultiplier=2
[07/13 21:30:17] GGNFS-0.77.1-20060513-k8 : sqrt
[07/13 21:30:19] bmultiplier=2
[07/13 21:48:35] From dependence 3, sqrt obtained:
[07/13 21:48:35]   r1=262913457234491688131920560141939578410279343647748980394630731 (pp63)
[07/13 21:48:35]   r2=5519848976962319518553726010848147162459426482482457 (pp52)
[07/13 21:48:35] (pp=probable prime, c=composite)
[07/13 21:48:35] sqrtTime: 1098.4
-> p: 262913457234491688131920560141939578410279343647748980394630731 (pp63)
-> p: 5519848976962319518553726010848147162459426482482457 (pp52)
software ソフトウェア
GGNFS-0.77.1-20060513-k8
execution environment 実行環境
DualCore Intel Core 2 Duo E6400, 1600 MHz, Windows XP and Cygwin

4×10171+3

c143

name 名前Erik Branger
date 日付September 25, 2009 12:01:58 UTC 2009 年 9 月 25 日 (金) 21 時 1 分 58 秒 (日本時間)
composite number 合成数
13009760588936549424115996217884317573935345630505968615454955194796197691159254066522117811387603269907811985842646853086028926492340905051407<143>
prime factors 素因数
756250231338276927304375103001690458827<39>
17202983946086459938373724428120076924823810662429126159556894474473395321848053399384538121207658238541<104>
factorization results 素因数分解の結果
Input number is 13009760588936549424115996217884317573935345630505968615454955194796197691159254066522117811387603269907811985842646853086028926492340905051407 (143 digits)
Run 277 out of 500:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3099713956
Step 1 took 46328ms
Step 2 took 21563ms
********** Factor found in step 2: 756250231338276927304375103001690458827
Found probable prime factor of 39 digits: 756250231338276927304375103001690458827
Probable prime cofactor 17202983946086459938373724428120076924823810662429126159556894474473395321848053399384538121207658238541 has 104 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMay 25, 2007 09:00:00 UTC 2007 年 5 月 25 日 (金) 18 時 0 分 0 秒 (日本時間)
351e6904suberiSeptember 1, 2008 09:22:47 UTC 2008 年 9 月 1 日 (月) 18 時 22 分 47 秒 (日本時間)

4×10175+3

c147

name 名前suberi
date 日付June 10, 2007 13:06:00 UTC 2007 年 6 月 10 日 (日) 22 時 6 分 0 秒 (日本時間)
composite number 合成数
103736032075844786326095729661820168589957534866789327315767162412140637427025351394977727164037953346107851714153697456415892512043028702361940961<147>
prime factors 素因数
7869296226745426570552208159293<31>
13182377316446225748087882274614574555076488881805882086115583209285537401151576878380413502502112486527863046837877<116>
factorization results 素因数分解の結果
Input number is 103736032075844786326095729661820168589957534866789327315767162412140637427025351394977727164037953346107851714153697456415892512043028702361940961 (147 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1958534315
Step 1 took 242940ms
Step 2 took 93663ms
********** Factor found in step 2: 7869296226745426570552208159293
Found probable prime factor of 31 digits: 7869296226745426570552208159293
Probable prime cofactor 13182377316446225748087882274614574555076488881805882086115583209285537401151576878380413502502112486527863046837877 has 116 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

4×10176+3

c164

name 名前suberi
date 日付June 8, 2007 06:22:18 UTC 2007 年 6 月 8 日 (金) 15 時 22 分 18 秒 (日本時間)
composite number 合成数
94608780854554228065447844460551352773627427913271116504652529996362969025238720266814221568383970683670413838121218378916685234383317578661262389961245456019360027<164>
prime factors 素因数
30175961085952909008534878737421283007<38>
composite cofactor 合成数の残り
3135236706631199341096636684750581017076426724373352960266683033160613553116178668067537726925834017042340630910117649030813861<127>
factorization results 素因数分解の結果
Input number is 94608780854554228065447844460551352773627427913271116504652529996362969025238720266814221568383970683670413838121218378916685234383317578661262389961245456019360027 (164 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1337949521
Step 1 took 288477ms
Step 2 took 101432ms
********** Factor found in step 2: 30175961085952909008534878737421283007
Found probable prime factor of 38 digits: 30175961085952909008534878737421283007
Composite cofactor 3135236706631199341096636684750581017076426724373352960266683033160613553116178668067537726925834017042340630910117649030813861 has 127 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

c127

name 名前Robert Backstrom
date 日付February 11, 2008 09:20:32 UTC 2008 年 2 月 11 日 (月) 18 時 20 分 32 秒 (日本時間)
composite number 合成数
3135236706631199341096636684750581017076426724373352960266683033160613553116178668067537726925834017042340630910117649030813861<127>
prime factors 素因数
3661730251935283360279392267311779<34>
856217277330621580192849824402420828954681540263284216581477838361242201893253167019116379159<93>
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 3135236706631199341096636684750581017076426724373352960266683033160613553116178668067537726925834017042340630910117649030813861 (127 digits)
Using B1=1178000, B2=1060269593, polynomial Dickson(6), sigma=1375184272
Step 1 took 14172ms
Step 2 took 8766ms
********** Factor found in step 2: 3661730251935283360279392267311779
Found probable prime factor of 34 digits: 3661730251935283360279392267311779
Probable prime cofactor 856217277330621580192849824402420828954681540263284216581477838361242201893253167019116379159 has 93 digits

4×10179+3

c180

name 名前Jo Yeong Uk
date 日付May 25, 2007 14:32:32 UTC 2007 年 5 月 25 日 (金) 23 時 32 分 32 秒 (日本時間)
composite number 合成数
400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003<180>
prime factors 素因数
9679838127597185553923930374350132743<37>
composite cofactor 合成数の残り
41323005067574566304410175051619336014247547874804676702862982021554231126531999977945569827460087540832516415965598056089191661607896947926821<143>
factorization results 素因数分解の結果
GMP-ECM 6.1.2 [powered by GMP 4.2.1] [ECM]
Input number is 400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003 (180 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2524219083
Step 1 took 29883ms
Step 2 took 12288ms
********** Factor found in step 2: 9679838127597185553923930374350132743
Found probable prime factor of 37 digits: 9679838127597185553923930374350132743
Composite cofactor 41323005067574566304410175051619336014247547874804676702862982021554231126531999977945569827460087540832516415965598056089191661607896947926821 has 143 digits
execution environment 実行環境
Core 2 Quad Q6600

c143

name 名前matsui
date 日付December 24, 2009 06:44:11 UTC 2009 年 12 月 24 日 (木) 15 時 44 分 11 秒 (日本時間)
composite number 合成数
41323005067574566304410175051619336014247547874804676702862982021554231126531999977945569827460087540832516415965598056089191661607896947926821<143>
prime factors 素因数
191036532994880646588869280641375529254981954340701<51>
216309437884752288522244329757285002058432970681423732981110681293149999573768732312881302121<93>
factorization results 素因数分解の結果
N=41323005067574566304410175051619336014247547874804676702862982021554231126531999977945569827460087540832516415965598056089191661607896947926821
  ( 143 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=191036532994880646588869280641375529254981954340701 (pp51)
 r2=216309437884752288522244329757285002058432970681423732981110681293149999573768732312881302121 (pp93)
Version: Msieve v. 1.43
Total time: 10.99 hours.
Scaled time: 20.72 units (timescale=1.886).
Factorization parameters were as follows:
n: 41323005067574566304410175051619336014247547874804676702862982021554231126531999977945569827460087540832516415965598056089191661607896947926821
m: 200000000000000000000000000000000000
deg: 5
c5: 1250
c0: 3
skew: 0.30
type: snfs
lss: 1
rlim: 6900000
alim: 6900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5

Factor base limits: 6900000/6900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3450000, 9050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1522746 x 1522973
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,6900000,6900000,28,28,53,53,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMay 25, 2007 09:00:00 UTC 2007 年 5 月 25 日 (金) 18 時 0 分 0 秒 (日本時間)
351e6904suberiSeptember 6, 2008 07:51:00 UTC 2008 年 9 月 6 日 (土) 16 時 51 分 0 秒 (日本時間)

4×10180+3

c180

name 名前Sinkiti Sibata
date 日付June 16, 2007 21:49:04 UTC 2007 年 6 月 17 日 (日) 6 時 49 分 4 秒 (日本時間)
composite number 合成数
571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571429<180>
prime factors 素因数
83826283922298951250679670902394172492665030066721447476491438645405060824416416839171<86>
6816818600216674079721080459803918316770769056707557617751767138646831184079876164364702748599<94>
factorization results 素因数分解の結果
Number: 40003_180
N=571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571429
  ( 180 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=83826283922298951250679670902394172492665030066721447476491438645405060824416416839171 (pp86)
 r2=6816818600216674079721080459803918316770769056707557617751767138646831184079876164364702748599 (pp94)
Version: GGNFS-0.77.1-20060513-k8
Total time: 402.02 hours.
Scaled time: 805.24 units (timescale=2.003).
Factorization parameters were as follows:
name: 40003_180
n: 571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571429
m: 1000000000000000000000000000000000000
c5: 4
c0: 3
skew: 1
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, 8200001)
Primes: RFBsize:501962, AFBsize:502056, largePrimes:6501623 encountered
Relations: rels:7055323, finalFF:1224296
Max relations in full relation-set: 28
Initial matrix: 1004085 x 1224296 with sparse part having weight 64791188.
Pruned matrix : 810729 x 815813 with weight 46491843.
Total sieving time: 393.70 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 7.71 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 402.02 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300  1.86GHz, Windows Vista and Cygwin)

4×10184+3

c130

name 名前suberi
date 日付June 10, 2007 13:07:30 UTC 2007 年 6 月 10 日 (日) 22 時 7 分 30 秒 (日本時間)
composite number 合成数
8693381950814622138690494684993780540320386557031261673489444653679565247623341574402181127150053297359074770829038907038067810771<130>
prime factors 素因数
5986920270178566508580072759197219<34>
composite cofactor 合成数の残り
1452062422497457515275178568841712183672090367974976058364101164379409367802639948011198401368209<97>
factorization results 素因数分解の結果
Input number is 8693381950814622138690494684993780540320386557031261673489444653679565247623341574402181127150053297359074770829038907038067810771 (130 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3847881528
Step 1 took 198855ms
Step 2 took 77345ms
********** Factor found in step 2: 5986920270178566508580072759197219
Found probable prime factor of 34 digits: 5986920270178566508580072759197219
Composite cofactor 1452062422497457515275178568841712183672090367974976058364101164379409367802639948011198401368209 has 97 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

c97

name 名前suberi
date 日付June 11, 2007 06:36:17 UTC 2007 年 6 月 11 日 (月) 15 時 36 分 17 秒 (日本時間)
composite number 合成数
1452062422497457515275178568841712183672090367974976058364101164379409367802639948011198401368209<97>
prime factors 素因数
598460262591086976314911215354850882063724060041<48>
2426330557371719231339466672548563551076810498249<49>
factorization results 素因数分解の結果
Thu Jun 07 01:51:11 2007  
Thu Jun 07 01:51:11 2007  
Thu Jun 07 01:51:11 2007  Msieve v. 1.23
Thu Jun 07 01:51:11 2007  random seeds: 37e514e8 67c1b05e
Thu Jun 07 01:51:11 2007  factoring 1451242577945435488202684730983697729965218073649465682642517742785018455031453318180555507115689620266670700586067 (115 digits)
Thu Jun 07 01:51:12 2007  commencing quadratic sieve (114-digit input)
Thu Jun 07 01:51:14 2007  using multiplier of 3
Thu Jun 07 01:51:14 2007  using 64kb Pentium 4 sieve core
Thu Jun 07 01:51:14 2007  sieve interval: 35 blocks of size 65536
Thu Jun 07 01:51:14 2007  processing polynomials in batches of 3
Thu Jun 07 01:51:14 2007  using a sieve bound of 9160121 (306250 primes)
Thu Jun 07 01:51:14 2007  using large prime bound of 1374018150 (30 bits)
Thu Jun 07 01:51:14 2007  using double large prime bound of 28079309877748350 (47-55 bits)
Thu Jun 07 01:51:14 2007  using trial factoring cutoff of 55 bits
Thu Jun 07 01:51:14 2007  polynomial 'A' values have 15 factors
Thu Jun 07 17:03:36 2007  2573 relations (2507 full + 66 combined from 147158 partial), need 306346
Thu Jun 07 17:03:36 2007  c115 factor: 1451242577945435488202684730983697729965218073649465682642517742785018455031453318180555507115689620266670700586067
Thu Jun 07 17:03:36 2007  elapsed time 15:12:25
Sun Jun 10 22:09:11 2007  
Sun Jun 10 22:09:11 2007  
Sun Jun 10 22:09:11 2007  Msieve v. 1.23
Sun Jun 10 22:09:11 2007  random seeds: c6371880 07cdeec2
Sun Jun 10 22:09:11 2007  factoring 1452062422497457515275178568841712183672090367974976058364101164379409367802639948011198401368209 (97 digits)
Sun Jun 10 22:09:11 2007  commencing quadratic sieve (96-digit input)
Sun Jun 10 22:09:12 2007  using multiplier of 1
Sun Jun 10 22:09:12 2007  using 64kb Pentium 4 sieve core
Sun Jun 10 22:09:12 2007  sieve interval: 18 blocks of size 65536
Sun Jun 10 22:09:12 2007  processing polynomials in batches of 6
Sun Jun 10 22:09:12 2007  using a sieve bound of 2328947 (85882 primes)
Sun Jun 10 22:09:12 2007  using large prime bound of 349342050 (28 bits)
Sun Jun 10 22:09:12 2007  using double large prime bound of 2386995188843550 (43-52 bits)
Sun Jun 10 22:09:12 2007  using trial factoring cutoff of 52 bits
Sun Jun 10 22:09:12 2007  polynomial 'A' values have 12 factors
Mon Jun 11 07:51:47 2007  86181 relations (21034 full + 65147 combined from 1292570 partial), need 85978
Mon Jun 11 07:51:49 2007  begin with 1313604 relations
Mon Jun 11 07:51:52 2007  reduce to 225635 relations in 14 passes
Mon Jun 11 07:51:52 2007  attempting to read 225635 relations
Mon Jun 11 07:51:57 2007  recovered 225635 relations
Mon Jun 11 07:51:57 2007  recovered 210860 polynomials
Mon Jun 11 07:51:57 2007  attempting to build 86181 cycles
Mon Jun 11 07:51:57 2007  found 86181 cycles in 6 passes
Mon Jun 11 07:51:57 2007  distribution of cycle lengths:
Mon Jun 11 07:51:57 2007     length 1 : 21034
Mon Jun 11 07:51:57 2007     length 2 : 15162
Mon Jun 11 07:51:57 2007     length 3 : 14263
Mon Jun 11 07:51:57 2007     length 4 : 11625
Mon Jun 11 07:51:57 2007     length 5 : 8916
Mon Jun 11 07:51:57 2007     length 6 : 6072
Mon Jun 11 07:51:57 2007     length 7 : 3792
Mon Jun 11 07:51:57 2007     length 9+: 5317
Mon Jun 11 07:51:57 2007  largest cycle: 20 relations
Mon Jun 11 07:51:58 2007  matrix is 85882 x 86181 with weight 5832332 (avg 67.68/col)
Mon Jun 11 07:52:00 2007  filtering completed in 3 passes
Mon Jun 11 07:52:00 2007  matrix is 82073 x 82137 with weight 5580342 (avg 67.94/col)
Mon Jun 11 07:52:01 2007  saving the first 48 matrix rows for later
Mon Jun 11 07:52:02 2007  matrix is 82025 x 82137 with weight 4657748 (avg 56.71/col)
Mon Jun 11 07:52:02 2007  matrix includes 64 packed rows
Mon Jun 11 07:52:02 2007  using block size 21845 for processor cache size 512 kB
Mon Jun 11 07:52:02 2007  commencing Lanczos iteration
Mon Jun 11 07:53:56 2007  lanczos halted after 1299 iterations
Mon Jun 11 07:53:57 2007  recovered 17 nontrivial dependencies
Mon Jun 11 07:53:59 2007  prp48 factor: 598460262591086976314911215354850882063724060041
Mon Jun 11 07:53:59 2007  prp49 factor: 2426330557371719231339466672548563551076810498249
Mon Jun 11 07:53:59 2007  elapsed time 09:44:48
execution environment 実行環境
Pentium 4 2.26GHz, Windows XP

4×10185+3

c184

name 名前Sinkiti Sibata
date 日付November 21, 2007 04:25:58 UTC 2007 年 11 月 21 日 (水) 13 時 25 分 58 秒 (日本時間)
composite number 合成数
6779661016949152542372881355932203389830508474576271186440677966101694915254237288135593220338983050847457627118644067796610169491525423728813559322033898305084745762711864406779661017<184>
prime factors 素因数
11020580464970018963281153740355391062570795450373519356122648057289<68>
615181844413636911986288389296689173200938369983514842349545281535581167010170014581500501046126500380108078763742353<117>
factorization results 素因数分解の結果
Number: 40003_185
N=6779661016949152542372881355932203389830508474576271186440677966101694915254237288135593220338983050847457627118644067796610169491525423728813559322033898305084745762711864406779661017
  ( 184 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=11020580464970018963281153740355391062570795450373519356122648057289 (pp68)
 r2=615181844413636911986288389296689173200938369983514842349545281535581167010170014581500501046126500380108078763742353 (pp117)
Version: GGNFS-0.77.1-20060513-k8
Total time: 676.35 hours.
Scaled time: 1350.68 units (timescale=1.997).
Factorization parameters were as follows:
name: 40003_185
n: 6779661016949152542372881355932203389830508474576271186440677966101694915254237288135593220338983050847457627118644067796610169491525423728813559322033898305084745762711864406779661017
m: 10000000000000000000000000000000000000
c5: 4
c0: 3
skew: 0.94
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, 11400001)
Primes: RFBsize:501962, AFBsize:502056, largePrimes:6651477 encountered
Relations: rels:7134496, finalFF:1151991
Max relations in full relation-set: 28
Initial matrix: 1004085 x 1151991 with sparse part having weight 85952580.
Pruned matrix : 882609 x 887693 with weight 67545486.
Total sieving time: 663.68 hours.
Total relation processing time: 0.62 hours.
Matrix solve time: 11.72 hours.
Time per square root: 0.33 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: 676.35 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

4×10188+3

c181

name 名前Robert Backstrom
date 日付October 5, 2008 05:10:23 UTC 2008 年 10 月 5 日 (日) 14 時 10 分 23 秒 (日本時間)
composite number 合成数
4050202544047648688833499443952755480878371070909903214031140974559533638618025124682194528939826171179603163787365865012439741466256147587274599773413443774526317927554290357785071<181>
prime factors 素因数
24875180711963832920631823391799924802362043<44>
1752874383582602263485228831981881536452332411343350533<55>
92888019522893020037527962353614086664215590109173413876816904217403183939544249209<83>
factorization results 素因数分解の結果
Number: n
N=4050202544047648688833499443952755480878371070909903214031140974559533638618025124682194528939826171179603163787365865012439741466256147587274599773413443774526317927554290357785071
  ( 181 digits)
SNFS difficulty: 188 digits.
Divisors found:

Sun Oct 05 10:57:16 2008  prp44 factor: 24875180711963832920631823391799924802362043
Sun Oct 05 10:57:16 2008  prp55 factor: 1752874383582602263485228831981881536452332411343350533
Sun Oct 05 10:57:16 2008  prp83 factor: 92888019522893020037527962353614086664215590109173413876816904217403183939544249209
Sun Oct 05 10:57:17 2008  elapsed time 06:48:28 (Msieve 1.38)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 69.83 hours.
Scaled time: 137.98 units (timescale=1.976).
Factorization parameters were as follows:
name: KA_4_0_187_3
n: 4050202544047648688833499443952755480878371070909903214031140974559533638618025124682194528939826171179603163787365865012439741466256147587274599773413443774526317927554290357785071
type: snfs
skew: 0.47
deg: 5
c5: 125
c0: 3
m: 20000000000000000000000000000000000000
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 6900001)
Primes: RFBsize:602489, AFBsize:601580, largePrimes:14186992 encountered
Relations: rels:13935264, finalFF:1227975
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 69.46 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,52,52,2.5,2.5,100000
total time: 69.83 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
3025e4430Makoto KamadaMay 25, 2007 09:00:00 UTC 2007 年 5 月 25 日 (金) 18 時 0 分 0 秒 (日本時間)
351e6904suberiSeptember 6, 2008 07:51:15 UTC 2008 年 9 月 6 日 (土) 16 時 51 分 15 秒 (日本時間)

4×10189+3

c143

name 名前Youcef Lemsafer
date 日付November 2, 2012 17:16:47 UTC 2012 年 11 月 3 日 (土) 2 時 16 分 47 秒 (日本時間)
composite number 合成数
46328118373450985108210439675675568593035608934536210921248060212004753468711546090114223716940730507414425052507999107293200292545902578496519<143>
prime factors 素因数
83854417267246524902406054576857546895613097<44>
3818365928839740457687318687141989113011278407<46>
144690884061596303738959983223805952509795639618444761<54>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3223465856
Step 1 took 38453ms
Step 2 took 18093ms
********** Factor found in step 2: 83854417267246524902406054576857546895613097
Found probable prime factor of 44 digits: 83854417267246524902406054576857546895613097
Composite cofactor 552482741914500368692651450823127441462699846028470825307827111020767673414667583764329137721575727 has 99 digits

Fri Nov 02 16:01:39 2012 -> factmsieve.py (v0.76)
Fri Nov 02 16:01:39 2012 -> This is client 1 of 1
Fri Nov 02 16:01:39 2012 -> Running on 2 Cores with 2 hyper-threads per Core
Fri Nov 02 16:01:39 2012 -> Working with NAME = 40003_189
Fri Nov 02 16:01:39 2012 -> Running polynomial selection ...
Fri Nov 02 16:01:39 2012  
Fri Nov 02 16:01:39 2012  
Fri Nov 02 16:01:39 2012  Msieve v. 1.50 (SVN 708)
Fri Nov 02 16:01:39 2012  random seeds: 23052ec0 82fe5c19
Fri Nov 02 16:01:39 2012  factoring 552482741914500368692651450823127441462699846028470825307827111020767673414667583764329137721575727 (99 digits)
Fri Nov 02 16:01:40 2012  searching for 15-digit factors
Fri Nov 02 16:01:41 2012  commencing number field sieve (99-digit input)
Fri Nov 02 16:01:41 2012  commencing number field sieve polynomial selection
Fri Nov 02 16:01:41 2012  time limit set to 0.33 CPU-hours
Fri Nov 02 16:01:41 2012  expecting poly E from 1.38e-008 to 1.58e-008
Fri Nov 02 16:01:41 2012  searching leading coefficients from 1 to 56416391
Fri Nov 02 16:22:52 2012  polynomial selection complete
Fri Nov 02 16:22:52 2012  R0: -616848035706917018422337
Fri Nov 02 16:22:52 2012  R1: 8453486905309
Fri Nov 02 16:22:52 2012  A0: -1342871965022917508493864480
Fri Nov 02 16:22:52 2012  A1: -11755000270818875609900
Fri Nov 02 16:22:52 2012  A2: -8057523591289136
Fri Nov 02 16:22:52 2012  A3: -1534871345
Fri Nov 02 16:22:52 2012  A4: 3816
Fri Nov 02 16:22:52 2012  skew 1406796.01, size 1.331e-013, alpha -5.231, combined = 1.368e-008 rroots = 2
Fri Nov 02 16:22:52 2012  elapsed time 00:21:13
Fri Nov 02 16:22:52 2012 -> Selected lattice siever: gnfs-lasieve4I12e
Fri Nov 02 16:22:52 2012 -> Creating param file to detect parameter changes...
Fri Nov 02 16:22:52 2012 -> Running setup ...
Fri Nov 02 16:22:52 2012 -> Estimated minimum relations needed: 4.004e+06
Fri Nov 02 16:22:52 2012 -> cleaning up before a restart
Fri Nov 02 16:22:52 2012 -> Running lattice siever ...
Fri Nov 02 16:22:52 2012 -> entering sieving loop
Fri Nov 02 16:22:52 2012 -> making sieve job for q = 900000 in 900000 .. 925000 as file 40003_189.job.T0
Fri Nov 02 16:22:52 2012 -> making sieve job for q = 925000 in 925000 .. 950000 as file 40003_189.job.T1
Fri Nov 02 16:22:52 2012 -> making sieve job for q = 950000 in 950000 .. 975000 as file 40003_189.job.T2
Fri Nov 02 16:22:52 2012 -> making sieve job for q = 975000 in 975000 .. 1000000 as file 40003_189.job.T3
Fri Nov 02 16:22:52 2012 -> Lattice sieving algebraic q from 900000 to 1000000.
Fri Nov 02 16:22:52 2012 -> gnfs-lasieve4I12e -k -o spairs.out.T0 -v -n0 -a 40003_189.job.T0
Fri Nov 02 16:22:52 2012 -> gnfs-lasieve4I12e -k -o spairs.out.T1 -v -n1 -a 40003_189.job.T1
Fri Nov 02 16:22:52 2012 -> gnfs-lasieve4I12e -k -o spairs.out.T2 -v -n2 -a 40003_189.job.T2
Fri Nov 02 16:22:52 2012 -> gnfs-lasieve4I12e -k -o spairs.out.T3 -v -n3 -a 40003_189.job.T3
Fri Nov 02 16:48:24 2012 Found 1341994 relations, 33.5% of the estimated minimum (4004000).
Fri Nov 02 16:48:24 2012 LatSieveTime: 1531.67
Fri Nov 02 16:48:24 2012 -> making sieve job for q = 1000000 in 1000000 .. 1025000 as file 40003_189.job.T0
Fri Nov 02 16:48:24 2012 -> making sieve job for q = 1025000 in 1025000 .. 1050000 as file 40003_189.job.T1
Fri Nov 02 16:48:24 2012 -> making sieve job for q = 1050000 in 1050000 .. 1075000 as file 40003_189.job.T2
Fri Nov 02 16:48:24 2012 -> making sieve job for q = 1075000 in 1075000 .. 1100000 as file 40003_189.job.T3
Fri Nov 02 16:48:24 2012 -> Lattice sieving algebraic q from 1000000 to 1100000.
Fri Nov 02 16:48:24 2012 -> gnfs-lasieve4I12e -k -o spairs.out.T0 -v -n0 -a 40003_189.job.T0
Fri Nov 02 16:48:24 2012 -> gnfs-lasieve4I12e -k -o spairs.out.T1 -v -n1 -a 40003_189.job.T1
Fri Nov 02 16:48:24 2012 -> gnfs-lasieve4I12e -k -o spairs.out.T2 -v -n2 -a 40003_189.job.T2
Fri Nov 02 16:48:24 2012 -> gnfs-lasieve4I12e -k -o spairs.out.T3 -v -n3 -a 40003_189.job.T3
Fri Nov 02 17:13:52 2012 Found 2674595 relations, 66.8% of the estimated minimum (4004000).
Fri Nov 02 17:13:52 2012 LatSieveTime: 1528.19
Fri Nov 02 17:13:52 2012 -> making sieve job for q = 1100000 in 1100000 .. 1125000 as file 40003_189.job.T0
Fri Nov 02 17:13:52 2012 -> making sieve job for q = 1125000 in 1125000 .. 1150000 as file 40003_189.job.T1
Fri Nov 02 17:13:52 2012 -> making sieve job for q = 1150000 in 1150000 .. 1175000 as file 40003_189.job.T2
Fri Nov 02 17:13:52 2012 -> making sieve job for q = 1175000 in 1175000 .. 1200000 as file 40003_189.job.T3
Fri Nov 02 17:13:52 2012 -> Lattice sieving algebraic q from 1100000 to 1200000.
Fri Nov 02 17:13:52 2012 -> gnfs-lasieve4I12e -k -o spairs.out.T0 -v -n0 -a 40003_189.job.T0
Fri Nov 02 17:13:52 2012 -> gnfs-lasieve4I12e -k -o spairs.out.T1 -v -n1 -a 40003_189.job.T1
Fri Nov 02 17:13:52 2012 -> gnfs-lasieve4I12e -k -o spairs.out.T2 -v -n2 -a 40003_189.job.T2
Fri Nov 02 17:13:52 2012 -> gnfs-lasieve4I12e -k -o spairs.out.T3 -v -n3 -a 40003_189.job.T3
Fri Nov 02 17:39:36 2012 Found 3997877 relations, 99.8% of the estimated minimum (4004000).
Fri Nov 02 17:39:36 2012 LatSieveTime: 1544
Fri Nov 02 17:39:36 2012 -> making sieve job for q = 1200000 in 1200000 .. 1225000 as file 40003_189.job.T0
Fri Nov 02 17:39:36 2012 -> making sieve job for q = 1225000 in 1225000 .. 1250000 as file 40003_189.job.T1
Fri Nov 02 17:39:36 2012 -> making sieve job for q = 1250000 in 1250000 .. 1275000 as file 40003_189.job.T2
Fri Nov 02 17:39:36 2012 -> making sieve job for q = 1275000 in 1275000 .. 1300000 as file 40003_189.job.T3
Fri Nov 02 17:39:36 2012 -> Lattice sieving algebraic q from 1200000 to 1300000.
Fri Nov 02 17:39:36 2012 -> gnfs-lasieve4I12e -k -o spairs.out.T0 -v -n0 -a 40003_189.job.T0
Fri Nov 02 17:39:36 2012 -> gnfs-lasieve4I12e -k -o spairs.out.T1 -v -n1 -a 40003_189.job.T1
Fri Nov 02 17:39:36 2012 -> gnfs-lasieve4I12e -k -o spairs.out.T2 -v -n2 -a 40003_189.job.T2
Fri Nov 02 17:39:36 2012 -> gnfs-lasieve4I12e -k -o spairs.out.T3 -v -n3 -a 40003_189.job.T3
Fri Nov 02 18:05:43 2012 Found 5325565 relations, 133.0% of the estimated minimum (4004000).
Fri Nov 02 18:05:43 2012  
Fri Nov 02 18:05:43 2012  
Fri Nov 02 18:05:43 2012  Msieve v. 1.50 (SVN 708)
Fri Nov 02 18:05:43 2012  random seeds: 0614e730 c4d81269
Fri Nov 02 18:05:43 2012  factoring 552482741914500368692651450823127441462699846028470825307827111020767673414667583764329137721575727 (99 digits)
Fri Nov 02 18:05:43 2012  searching for 15-digit factors
Fri Nov 02 18:05:44 2012  commencing number field sieve (99-digit input)
Fri Nov 02 18:05:44 2012  R0: -616848035706917018422337
Fri Nov 02 18:05:44 2012  R1: 8453486905309
Fri Nov 02 18:05:44 2012  A0: -1342871965022917508493864480
Fri Nov 02 18:05:44 2012  A1: -11755000270818875609900
Fri Nov 02 18:05:44 2012  A2: -8057523591289136
Fri Nov 02 18:05:44 2012  A3: -1534871345
Fri Nov 02 18:05:44 2012  A4: 3816
Fri Nov 02 18:05:44 2012  skew 1406796.01, size 1.331e-013, alpha -5.231, combined = 1.368e-008 rroots = 2
Fri Nov 02 18:05:44 2012  
Fri Nov 02 18:05:44 2012  commencing relation filtering
Fri Nov 02 18:05:44 2012  estimated available RAM is 4095.6 MB
Fri Nov 02 18:05:44 2012  commencing duplicate removal, pass 1
Fri Nov 02 18:06:08 2012  found 467987 hash collisions in 5325564 relations
Fri Nov 02 18:06:14 2012  added 152222 free relations
Fri Nov 02 18:06:14 2012  commencing duplicate removal, pass 2
Fri Nov 02 18:06:17 2012  found 316600 duplicates and 5161186 unique relations
Fri Nov 02 18:06:17 2012  memory use: 24.6 MB
Fri Nov 02 18:06:17 2012  reading ideals above 100000
Fri Nov 02 18:06:17 2012  commencing singleton removal, initial pass
Fri Nov 02 18:06:49 2012  memory use: 94.1 MB
Fri Nov 02 18:06:49 2012  reading all ideals from disk
Fri Nov 02 18:06:49 2012  memory use: 158.5 MB
Fri Nov 02 18:06:50 2012  keeping 4958876 ideals with weight <= 200, target excess is 33596
Fri Nov 02 18:06:50 2012  commencing in-memory singleton removal
Fri Nov 02 18:06:50 2012  begin with 5161186 relations and 4958876 unique ideals
Fri Nov 02 18:06:53 2012  reduce to 2632975 relations and 1985615 ideals in 12 passes
Fri Nov 02 18:06:53 2012  max relations containing the same ideal: 136
Fri Nov 02 18:06:54 2012  removing 912438 relations and 608244 ideals in 304194 cliques
Fri Nov 02 18:06:54 2012  commencing in-memory singleton removal
Fri Nov 02 18:06:54 2012  begin with 1720537 relations and 1985615 unique ideals
Fri Nov 02 18:06:54 2012  reduce to 1572296 relations and 1208725 ideals in 7 passes
Fri Nov 02 18:06:54 2012  max relations containing the same ideal: 94
Fri Nov 02 18:06:55 2012  removing 724414 relations and 420220 ideals in 304194 cliques
Fri Nov 02 18:06:55 2012  commencing in-memory singleton removal
Fri Nov 02 18:06:55 2012  begin with 847882 relations and 1208725 unique ideals
Fri Nov 02 18:06:55 2012  reduce to 708881 relations and 627533 ideals in 10 passes
Fri Nov 02 18:06:55 2012  max relations containing the same ideal: 51
Fri Nov 02 18:06:56 2012  removing 160904 relations and 118528 ideals in 42376 cliques
Fri Nov 02 18:06:56 2012  commencing in-memory singleton removal
Fri Nov 02 18:06:56 2012  begin with 547977 relations and 627533 unique ideals
Fri Nov 02 18:06:56 2012  reduce to 517844 relations and 476858 ideals in 9 passes
Fri Nov 02 18:06:56 2012  max relations containing the same ideal: 45
Fri Nov 02 18:06:56 2012  relations with 0 large ideals: 597
Fri Nov 02 18:06:56 2012  relations with 1 large ideals: 2430
Fri Nov 02 18:06:56 2012  relations with 2 large ideals: 15435
Fri Nov 02 18:06:56 2012  relations with 3 large ideals: 53675
Fri Nov 02 18:06:56 2012  relations with 4 large ideals: 112295
Fri Nov 02 18:06:56 2012  relations with 5 large ideals: 148102
Fri Nov 02 18:06:56 2012  relations with 6 large ideals: 114728
Fri Nov 02 18:06:56 2012  relations with 7+ large ideals: 70582
Fri Nov 02 18:06:56 2012  commencing 2-way merge
Fri Nov 02 18:06:56 2012  reduce to 347642 relation sets and 306656 unique ideals
Fri Nov 02 18:06:56 2012  commencing full merge
Fri Nov 02 18:07:01 2012  memory use: 29.9 MB
Fri Nov 02 18:07:01 2012  found 163111 cycles, need 156856
Fri Nov 02 18:07:01 2012  weight of 156856 cycles is about 11105239 (70.80/cycle)
Fri Nov 02 18:07:01 2012  distribution of cycle lengths:
Fri Nov 02 18:07:01 2012  1 relations: 12360
Fri Nov 02 18:07:01 2012  2 relations: 14515
Fri Nov 02 18:07:01 2012  3 relations: 16125
Fri Nov 02 18:07:01 2012  4 relations: 16029
Fri Nov 02 18:07:01 2012  5 relations: 14867
Fri Nov 02 18:07:01 2012  6 relations: 13625
Fri Nov 02 18:07:01 2012  7 relations: 12172
Fri Nov 02 18:07:01 2012  8 relations: 10628
Fri Nov 02 18:07:01 2012  9 relations: 9205
Fri Nov 02 18:07:01 2012  10+ relations: 37330
Fri Nov 02 18:07:01 2012  heaviest cycle: 22 relations
Fri Nov 02 18:07:01 2012  commencing cycle optimization
Fri Nov 02 18:07:01 2012  start with 1041446 relations
Fri Nov 02 18:07:03 2012  pruned 41297 relations
Fri Nov 02 18:07:03 2012  memory use: 25.0 MB
Fri Nov 02 18:07:03 2012  distribution of cycle lengths:
Fri Nov 02 18:07:03 2012  1 relations: 12360
Fri Nov 02 18:07:03 2012  2 relations: 14907
Fri Nov 02 18:07:03 2012  3 relations: 16864
Fri Nov 02 18:07:03 2012  4 relations: 16707
Fri Nov 02 18:07:03 2012  5 relations: 15587
Fri Nov 02 18:07:03 2012  6 relations: 14268
Fri Nov 02 18:07:03 2012  7 relations: 12588
Fri Nov 02 18:07:03 2012  8 relations: 10866
Fri Nov 02 18:07:03 2012  9 relations: 9170
Fri Nov 02 18:07:03 2012  10+ relations: 33539
Fri Nov 02 18:07:03 2012  heaviest cycle: 21 relations
Fri Nov 02 18:07:03 2012  RelProcTime: 79
Fri Nov 02 18:07:03 2012  elapsed time 00:01:20
Fri Nov 02 18:07:03 2012 LatSieveTime: 1646.77
Fri Nov 02 18:07:03 2012 -> Running matrix solving step ...
Fri Nov 02 18:07:03 2012  
Fri Nov 02 18:07:03 2012  
Fri Nov 02 18:07:03 2012  Msieve v. 1.50 (SVN 708)
Fri Nov 02 18:07:03 2012  random seeds: 73c77b80 8d334bbb
Fri Nov 02 18:07:03 2012  factoring 552482741914500368692651450823127441462699846028470825307827111020767673414667583764329137721575727 (99 digits)
Fri Nov 02 18:07:03 2012  searching for 15-digit factors
Fri Nov 02 18:07:04 2012  commencing number field sieve (99-digit input)
Fri Nov 02 18:07:04 2012  R0: -616848035706917018422337
Fri Nov 02 18:07:04 2012  R1: 8453486905309
Fri Nov 02 18:07:04 2012  A0: -1342871965022917508493864480
Fri Nov 02 18:07:04 2012  A1: -11755000270818875609900
Fri Nov 02 18:07:04 2012  A2: -8057523591289136
Fri Nov 02 18:07:04 2012  A3: -1534871345
Fri Nov 02 18:07:04 2012  A4: 3816
Fri Nov 02 18:07:04 2012  skew 1406796.01, size 1.331e-013, alpha -5.231, combined = 1.368e-008 rroots = 2
Fri Nov 02 18:07:04 2012  
Fri Nov 02 18:07:04 2012  commencing linear algebra
Fri Nov 02 18:07:04 2012  read 156856 cycles
Fri Nov 02 18:07:04 2012  cycles contain 483824 unique relations
Fri Nov 02 18:07:07 2012  read 483824 relations
Fri Nov 02 18:07:08 2012  using 20 quadratic characters above 67089830
Fri Nov 02 18:07:10 2012  building initial matrix
Fri Nov 02 18:07:15 2012  memory use: 54.5 MB
Fri Nov 02 18:07:15 2012  read 156856 cycles
Fri Nov 02 18:07:15 2012  matrix is 156675 x 156856 (44.5 MB) with weight 15013355 (95.71/col)
Fri Nov 02 18:07:15 2012  sparse part has weight 10403429 (66.32/col)
Fri Nov 02 18:07:17 2012  filtering completed in 2 passes
Fri Nov 02 18:07:17 2012  matrix is 156469 x 156650 (44.4 MB) with weight 14999415 (95.75/col)
Fri Nov 02 18:07:17 2012  sparse part has weight 10396272 (66.37/col)
Fri Nov 02 18:07:17 2012  matrix starts at (0, 0)
Fri Nov 02 18:07:17 2012  matrix is 156469 x 156650 (44.4 MB) with weight 14999415 (95.75/col)
Fri Nov 02 18:07:17 2012  sparse part has weight 10396272 (66.37/col)
Fri Nov 02 18:07:17 2012  saving the first 48 matrix rows for later
Fri Nov 02 18:07:17 2012  matrix includes 64 packed rows
Fri Nov 02 18:07:17 2012  matrix is 156421 x 156650 (42.3 MB) with weight 11811211 (75.40/col)
Fri Nov 02 18:07:17 2012  sparse part has weight 10151256 (64.80/col)
Fri Nov 02 18:07:17 2012  using block size 62568 for processor cache size 12288 kB
Fri Nov 02 18:07:18 2012  commencing Lanczos iteration
Fri Nov 02 18:07:18 2012  memory use: 33.3 MB
Fri Nov 02 18:07:31 2012  linear algebra at 7.8%, ETA 0h 2m
Fri Nov 02 18:09:56 2012  lanczos halted after 2475 iterations (dim = 156420)
Fri Nov 02 18:09:56 2012  recovered 33 nontrivial dependencies
Fri Nov 02 18:09:56 2012  BLanczosTime: 172
Fri Nov 02 18:09:56 2012  elapsed time 00:02:53
Fri Nov 02 18:09:56 2012 -> Running square root step ...
Fri Nov 02 18:09:56 2012  
Fri Nov 02 18:09:56 2012  
Fri Nov 02 18:09:56 2012  Msieve v. 1.50 (SVN 708)
Fri Nov 02 18:09:56 2012  random seeds: 46070340 54565a65
Fri Nov 02 18:09:56 2012  factoring 552482741914500368692651450823127441462699846028470825307827111020767673414667583764329137721575727 (99 digits)
Fri Nov 02 18:09:57 2012  searching for 15-digit factors
Fri Nov 02 18:09:57 2012  commencing number field sieve (99-digit input)
Fri Nov 02 18:09:57 2012  R0: -616848035706917018422337
Fri Nov 02 18:09:57 2012  R1: 8453486905309
Fri Nov 02 18:09:57 2012  A0: -1342871965022917508493864480
Fri Nov 02 18:09:57 2012  A1: -11755000270818875609900
Fri Nov 02 18:09:57 2012  A2: -8057523591289136
Fri Nov 02 18:09:57 2012  A3: -1534871345
Fri Nov 02 18:09:57 2012  A4: 3816
Fri Nov 02 18:09:57 2012  skew 1406796.01, size 1.331e-013, alpha -5.231, combined = 1.368e-008 rroots = 2
Fri Nov 02 18:09:57 2012  
Fri Nov 02 18:09:57 2012  commencing square root phase
Fri Nov 02 18:09:57 2012  reading relations for dependency 1
Fri Nov 02 18:09:57 2012  read 78428 cycles
Fri Nov 02 18:09:57 2012  cycles contain 242164 unique relations
Fri Nov 02 18:10:00 2012  read 242164 relations
Fri Nov 02 18:10:00 2012  multiplying 242164 relations
Fri Nov 02 18:10:12 2012  multiply complete, coefficients have about 10.11 million bits
Fri Nov 02 18:10:13 2012  initial square root is modulo 646421
Fri Nov 02 18:10:30 2012  sqrtTime: 33
Fri Nov 02 18:10:30 2012  prp46 factor: 3818365928839740457687318687141989113011278407
Fri Nov 02 18:10:30 2012  prp54 factor: 144690884061596303738959983223805952509795639618444761
Fri Nov 02 18:10:30 2012  elapsed time 00:00:34
Fri Nov 02 18:10:30 2012 -> Computing 1.35188e+09 scale for this machine...
Fri Nov 02 18:10:30 2012 -> procrels -speedtest> PIPE
Fri Nov 02 18:10:35 2012 -> Factorization summary written to g99-40003_189.txt



Number: 40003_189
N = 552482741914500368692651450823127441462699846028470825307827111020767673414667583764329137721575727 (99 digits)
Divisors found:
r1=3818365928839740457687318687141989113011278407 (pp46)
r2=144690884061596303738959983223805952509795639618444761 (pp54)
Version: Msieve v. 1.50 (SVN 708)
Total time: 2.17 hours.
Factorization parameters were as follows:
n: 552482741914500368692651450823127441462699846028470825307827111020767673414667583764329137721575727
Y0: -616848035706917018422337
Y1: 8453486905309
c0: -1342871965022917508493864480
c1: -11755000270818875609900
c2: -8057523591289136
c3: -1534871345
c4: 3816
skew: 1406796.01
type: gnfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [0, 0)
Total raw relations: 5325565
Relations: 242164 relations
Pruned matrix : 156421 x 156650
Polynomial selection time: 0.35 hours.
Total sieving time: 1.74 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
time per square root: 0.01 hours.
Prototype def-par.txt line would be: gnfs,98,4,58,1500,0.003,0.4,220,15,10000,2000,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 2.17 hours.
Intel64 Family 6 Model 44 Stepping 2, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 2, speed: 2.79GHz
software ソフトウェア
GMP-ECM 6.4.2 [configured with GMP 5.0.5, --enable-asm-redc] 
GGNFS-SVN 430, msieve 1.50 (SVN 408)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMay 25, 2007 09:00:00 UTC 2007 年 5 月 25 日 (金) 18 時 0 分 0 秒 (日本時間)
351e6904suberiSeptember 6, 2008 07:51:24 UTC 2008 年 9 月 6 日 (土) 16 時 51 分 24 秒 (日本時間)
403e62000Youcef LemsaferNovember 2, 2012 14:54:20 UTC 2012 年 11 月 2 日 (金) 23 時 54 分 20 秒 (日本時間)
4511e61240 / 3771Youcef LemsaferNovember 2, 2012 14:54:20 UTC 2012 年 11 月 2 日 (金) 23 時 54 分 20 秒 (日本時間)
5043e664 / 7194Youcef LemsaferNovember 2, 2012 14:54:20 UTC 2012 年 11 月 2 日 (金) 23 時 54 分 20 秒 (日本時間)

4×10190+3

c149

name 名前Youcef Lemsafer
date 日付November 7, 2012 05:28:18 UTC 2012 年 11 月 7 日 (水) 14 時 28 分 18 秒 (日本時間)
composite number 合成数
63012286164902784862115566256894294516558531998452560198459491066024731451192780286328215103179379574403277357162667406511048462390811100211451421533<149>
prime factors 素因数
629589472322495446334663675031264845997425910079012360357<57>
100084720178780115237981541387311663053886915308400483818855627013027077953155995355273351769<93>
factorization results 素因数分解の結果
Sun Nov 04 14:16:33 2012 -> factmsieve.py (v0.76)
Sun Nov 04 14:16:33 2012 -> This is client 1 of 1
Sun Nov 04 14:16:33 2012 -> Running on 4 Cores with 2 hyper-threads per Core
Sun Nov 04 14:16:33 2012 -> Working with NAME = 40003_190
Sun Nov 04 14:16:33 2012 -> Selected lattice siever: gnfs-lasieve4I13e
Sun Nov 04 14:16:33 2012 -> Creating param file to detect parameter changes...
Sun Nov 04 14:16:33 2012 -> Running setup ...
Sun Nov 04 14:16:33 2012 -> Estimated minimum relations needed: 2.13094e+07
Sun Nov 04 14:16:33 2012 -> cleaning up before a restart
Sun Nov 04 14:16:33 2012 -> Running lattice siever ...
Sun Nov 04 14:16:33 2012 -> entering sieving loop
Sun Nov 04 14:53:55 2012 Found 257445 relations, 1.2% of the estimated minimum (21309410).
Sun Nov 04 15:29:15 2012 Found 515175 relations, 2.4% of the estimated minimum (21309410).
Sun Nov 04 16:04:04 2012 Found 770731 relations, 3.6% of the estimated minimum (21309410).
Sun Nov 04 16:38:50 2012 Found 1025909 relations, 4.8% of the estimated minimum (21309410).
Sun Nov 04 17:13:55 2012 Found 1285020 relations, 6.0% of the estimated minimum (21309410).
Sun Nov 04 17:49:23 2012 Found 1540823 relations, 7.2% of the estimated minimum (21309410).
Sun Nov 04 18:25:04 2012 Found 1798997 relations, 8.4% of the estimated minimum (21309410).
Sun Nov 04 18:59:56 2012 Found 2053515 relations, 9.6% of the estimated minimum (21309410).
Sun Nov 04 19:35:11 2012 Found 2308990 relations, 10.8% of the estimated minimum (21309410).
Sun Nov 04 20:10:21 2012 Found 2564022 relations, 12.0% of the estimated minimum (21309410).
Sun Nov 04 20:46:13 2012 Found 2822381 relations, 13.2% of the estimated minimum (21309410).
Sun Nov 04 21:21:09 2012 Found 3075150 relations, 14.4% of the estimated minimum (21309410).
Sun Nov 04 21:56:43 2012 Found 3330959 relations, 15.6% of the estimated minimum (21309410).
Sun Nov 04 22:32:13 2012 Found 3584854 relations, 16.8% of the estimated minimum (21309410).
Sun Nov 04 23:08:06 2012 Found 3840487 relations, 18.0% of the estimated minimum (21309410).
Sun Nov 04 23:43:44 2012 Found 4093821 relations, 19.2% of the estimated minimum (21309410).
Mon Nov 05 00:19:54 2012 Found 4350780 relations, 20.4% of the estimated minimum (21309410).
Mon Nov 05 00:56:12 2012 Found 4606563 relations, 21.6% of the estimated minimum (21309410).
Mon Nov 05 01:31:40 2012 Found 4858906 relations, 22.8% of the estimated minimum (21309410).
Mon Nov 05 02:07:29 2012 Found 5111559 relations, 24.0% of the estimated minimum (21309410).
Mon Nov 05 02:43:36 2012 Found 5363951 relations, 25.2% of the estimated minimum (21309410).
Mon Nov 05 03:20:17 2012 Found 5616553 relations, 26.4% of the estimated minimum (21309410).
Mon Nov 05 03:56:35 2012 Found 5866642 relations, 27.5% of the estimated minimum (21309410).
Mon Nov 05 04:33:54 2012 Found 6118467 relations, 28.7% of the estimated minimum (21309410).
Mon Nov 05 05:10:32 2012 Found 6369085 relations, 29.9% of the estimated minimum (21309410).
Mon Nov 05 05:47:17 2012 Found 6619428 relations, 31.1% of the estimated minimum (21309410).
Mon Nov 05 06:24:10 2012 Found 6871407 relations, 32.2% of the estimated minimum (21309410).
Mon Nov 05 07:00:36 2012 Found 7119761 relations, 33.4% of the estimated minimum (21309410).
Mon Nov 05 07:37:38 2012 Found 7368289 relations, 34.6% of the estimated minimum (21309410).
Mon Nov 05 08:14:50 2012 Found 7618559 relations, 35.8% of the estimated minimum (21309410).
Mon Nov 05 08:52:08 2012 Found 7869291 relations, 36.9% of the estimated minimum (21309410).
Mon Nov 05 09:28:54 2012 Found 8115947 relations, 38.1% of the estimated minimum (21309410).
Mon Nov 05 10:06:42 2012 Found 8365613 relations, 39.3% of the estimated minimum (21309410).
Mon Nov 05 10:44:11 2012 Found 8615776 relations, 40.4% of the estimated minimum (21309410).
Mon Nov 05 11:21:45 2012 Found 8865360 relations, 41.6% of the estimated minimum (21309410).
Mon Nov 05 11:59:28 2012 Found 9113022 relations, 42.8% of the estimated minimum (21309410).
Mon Nov 05 12:37:10 2012 Found 9361190 relations, 43.9% of the estimated minimum (21309410).
Mon Nov 05 13:15:13 2012 Found 9606517 relations, 45.1% of the estimated minimum (21309410).
Mon Nov 05 13:53:04 2012 Found 9853185 relations, 46.2% of the estimated minimum (21309410).
Mon Nov 05 14:31:27 2012 Found 10102258 relations, 47.4% of the estimated minimum (21309410).
Mon Nov 05 15:09:32 2012 Found 10347341 relations, 48.6% of the estimated minimum (21309410).
Mon Nov 05 15:47:47 2012 Found 10592489 relations, 49.7% of the estimated minimum (21309410).
Mon Nov 05 16:26:25 2012 Found 10837188 relations, 50.9% of the estimated minimum (21309410).
Mon Nov 05 17:04:49 2012 Found 11084233 relations, 52.0% of the estimated minimum (21309410).
Mon Nov 05 17:43:12 2012 Found 11329166 relations, 53.2% of the estimated minimum (21309410).
Mon Nov 05 18:21:29 2012 Found 11573703 relations, 54.3% of the estimated minimum (21309410).
Mon Nov 05 18:59:39 2012 Found 11818025 relations, 55.5% of the estimated minimum (21309410).
Mon Nov 05 19:37:55 2012 Found 12061458 relations, 56.6% of the estimated minimum (21309410).
Mon Nov 05 20:16:32 2012 Found 12305025 relations, 57.7% of the estimated minimum (21309410).
Mon Nov 05 20:54:40 2012 Found 12545916 relations, 58.9% of the estimated minimum (21309410).
Mon Nov 05 21:33:15 2012 Found 12789235 relations, 60.0% of the estimated minimum (21309410).
Mon Nov 05 22:12:24 2012 Found 13032507 relations, 61.2% of the estimated minimum (21309410).
Mon Nov 05 22:51:26 2012 Found 13276103 relations, 62.3% of the estimated minimum (21309410).
Mon Nov 05 23:30:11 2012 Found 13518650 relations, 63.4% of the estimated minimum (21309410).
Tue Nov 06 00:09:31 2012 Found 13760499 relations, 64.6% of the estimated minimum (21309410).
Tue Nov 06 00:48:31 2012 Found 14000000 relations, 65.7% of the estimated minimum (21309410).
Tue Nov 06 01:27:43 2012 Found 14240053 relations, 66.8% of the estimated minimum (21309410).
Tue Nov 06 02:06:18 2012 Found 14476914 relations, 67.9% of the estimated minimum (21309410).
Tue Nov 06 02:45:13 2012 Found 14716449 relations, 69.1% of the estimated minimum (21309410).
Tue Nov 06 03:24:09 2012 Found 14953145 relations, 70.2% of the estimated minimum (21309410).
Tue Nov 06 04:02:43 2012 Found 15188691 relations, 71.3% of the estimated minimum (21309410).
Tue Nov 06 04:41:55 2012 Found 15422990 relations, 72.4% of the estimated minimum (21309410).
Tue Nov 06 05:21:05 2012 Found 15661043 relations, 73.5% of the estimated minimum (21309410).
Tue Nov 06 06:00:07 2012 Found 15897338 relations, 74.6% of the estimated minimum (21309410).
Tue Nov 06 06:38:41 2012 Found 16130397 relations, 75.7% of the estimated minimum (21309410).
Tue Nov 06 07:17:21 2012 Found 16363163 relations, 76.8% of the estimated minimum (21309410).
Tue Nov 06 07:56:12 2012 Found 16597383 relations, 77.9% of the estimated minimum (21309410).
Tue Nov 06 08:34:55 2012 Found 16828631 relations, 79.0% of the estimated minimum (21309410).
Tue Nov 06 09:13:59 2012 Found 17060961 relations, 80.1% of the estimated minimum (21309410).
Tue Nov 06 09:52:16 2012 Found 17290090 relations, 81.1% of the estimated minimum (21309410).
Tue Nov 06 10:30:45 2012 Found 17519778 relations, 82.2% of the estimated minimum (21309410).
Tue Nov 06 11:10:07 2012 Found 17752181 relations, 83.3% of the estimated minimum (21309410).
Tue Nov 06 11:49:13 2012 Found 17979033 relations, 84.4% of the estimated minimum (21309410).
Tue Nov 06 12:28:43 2012 Found 18208199 relations, 85.4% of the estimated minimum (21309410).
Tue Nov 06 13:07:36 2012 Found 18436695 relations, 86.5% of the estimated minimum (21309410).
Tue Nov 06 13:46:37 2012 Found 18665669 relations, 87.6% of the estimated minimum (21309410).
Tue Nov 06 14:26:35 2012 Found 18888465 relations, 88.6% of the estimated minimum (21309410).
Tue Nov 06 15:06:23 2012 Found 19112780 relations, 89.7% of the estimated minimum (21309410).
Tue Nov 06 15:45:44 2012 Found 19335797 relations, 90.7% of the estimated minimum (21309410).
Tue Nov 06 16:27:28 2012 Found 19560681 relations, 91.8% of the estimated minimum (21309410).
Tue Nov 06 17:06:26 2012 Found 19784681 relations, 92.8% of the estimated minimum (21309410).
Tue Nov 06 17:45:23 2012 Found 20007527 relations, 93.9% of the estimated minimum (21309410).
Tue Nov 06 18:24:13 2012 Found 20227853 relations, 94.9% of the estimated minimum (21309410).
Tue Nov 06 19:03:07 2012 Found 20451169 relations, 96.0% of the estimated minimum (21309410).
Tue Nov 06 19:42:08 2012 Found 20672875 relations, 97.0% of the estimated minimum (21309410).
Tue Nov 06 20:21:20 2012 Found 20894888 relations, 98.1% of the estimated minimum (21309410).
Tue Nov 06 21:00:16 2012 Found 21116683 relations, 99.1% of the estimated minimum (21309410).
Tue Nov 06 21:38:40 2012 Found 21335117 relations, 100.1% of the estimated minimum (21309410).
Tue Nov 06 21:38:40 2012  
Tue Nov 06 21:38:42 2012  commencing relation filtering
Tue Nov 06 21:38:42 2012  estimated available RAM is 4096.0 MB
Tue Nov 06 21:38:42 2012  commencing duplicate removal, pass 1
Tue Nov 06 21:40:29 2012  found 2909251 hash collisions in 21335116 relations
Tue Nov 06 21:41:15 2012  added 714853 free relations
Tue Nov 06 21:41:15 2012  commencing duplicate removal, pass 2
Tue Nov 06 21:41:55 2012  found 2549370 duplicates and 19500599 unique relations
Tue Nov 06 21:41:55 2012  memory use: 98.6 MB
Tue Nov 06 21:41:55 2012  reading ideals above 13959168
Tue Nov 06 21:41:59 2012  commencing singleton removal, initial pass
Tue Nov 06 21:44:08 2012  memory use: 376.5 MB
Tue Nov 06 21:44:08 2012  reading all ideals from disk
Tue Nov 06 21:44:08 2012  memory use: 341.5 MB
Tue Nov 06 21:44:09 2012  commencing in-memory singleton removal
Tue Nov 06 21:44:09 2012  begin with 19500599 relations and 19758544 unique ideals
Tue Nov 06 21:44:17 2012  reduce to 8186727 relations and 6149515 ideals in 19 passes
Tue Nov 06 21:44:17 2012  max relations containing the same ideal: 35
Tue Nov 06 21:44:18 2012  reading ideals above 100000
Tue Nov 06 21:44:18 2012  commencing singleton removal, initial pass
Tue Nov 06 21:45:33 2012  memory use: 188.3 MB
Tue Nov 06 21:45:33 2012  reading all ideals from disk
Tue Nov 06 21:45:33 2012  memory use: 316.7 MB
Tue Nov 06 21:45:34 2012  keeping 7934503 ideals with weight <= 200, target excess is 43006
Tue Nov 06 21:45:35 2012  commencing in-memory singleton removal
Tue Nov 06 21:45:35 2012  begin with 8189223 relations and 7934503 unique ideals
Tue Nov 06 21:45:45 2012  reduce to 8169462 relations and 7902799 ideals in 13 passes
Tue Nov 06 21:45:45 2012  max relations containing the same ideal: 200
Tue Nov 06 21:45:49 2012  removing 1010336 relations and 901948 ideals in 108388 cliques
Tue Nov 06 21:45:49 2012  commencing in-memory singleton removal
Tue Nov 06 21:45:50 2012  begin with 7159126 relations and 7902799 unique ideals
Tue Nov 06 21:45:56 2012  reduce to 7060431 relations and 6900403 ideals in 10 passes
Tue Nov 06 21:45:56 2012  max relations containing the same ideal: 187
Tue Nov 06 21:45:59 2012  removing 745068 relations and 636680 ideals in 108388 cliques
Tue Nov 06 21:45:59 2012  commencing in-memory singleton removal
Tue Nov 06 21:46:00 2012  begin with 6315363 relations and 6900403 unique ideals
Tue Nov 06 21:46:05 2012  reduce to 6253410 relations and 6200776 ideals in 9 passes
Tue Nov 06 21:46:05 2012  max relations containing the same ideal: 171
Tue Nov 06 21:46:10 2012  relations with 0 large ideals: 921
Tue Nov 06 21:46:10 2012  relations with 1 large ideals: 90
Tue Nov 06 21:46:10 2012  relations with 2 large ideals: 1202
Tue Nov 06 21:46:10 2012  relations with 3 large ideals: 14645
Tue Nov 06 21:46:10 2012  relations with 4 large ideals: 105060
Tue Nov 06 21:46:10 2012  relations with 5 large ideals: 442754
Tue Nov 06 21:46:10 2012  relations with 6 large ideals: 1198437
Tue Nov 06 21:46:10 2012  relations with 7+ large ideals: 4490301
Tue Nov 06 21:46:10 2012  commencing 2-way merge
Tue Nov 06 21:46:14 2012  reduce to 3732794 relation sets and 3680161 unique ideals
Tue Nov 06 21:46:14 2012  ignored 1 oversize relation sets
Tue Nov 06 21:46:14 2012  commencing full merge
Tue Nov 06 21:47:19 2012  memory use: 402.7 MB
Tue Nov 06 21:47:20 2012  found 1916660 cycles, need 1910361
Tue Nov 06 21:47:20 2012  weight of 1910361 cycles is about 133858896 (70.07/cycle)
Tue Nov 06 21:47:20 2012  distribution of cycle lengths:
Tue Nov 06 21:47:20 2012  1 relations: 278035
Tue Nov 06 21:47:20 2012  2 relations: 237582
Tue Nov 06 21:47:20 2012  3 relations: 220020
Tue Nov 06 21:47:20 2012  4 relations: 192719
Tue Nov 06 21:47:20 2012  5 relations: 171052
Tue Nov 06 21:47:20 2012  6 relations: 143446
Tue Nov 06 21:47:20 2012  7 relations: 124278
Tue Nov 06 21:47:20 2012  8 relations: 105147
Tue Nov 06 21:47:20 2012  9 relations: 87867
Tue Nov 06 21:47:20 2012  10+ relations: 350215
Tue Nov 06 21:47:20 2012  heaviest cycle: 27 relations
Tue Nov 06 21:47:20 2012  commencing cycle optimization
Tue Nov 06 21:47:23 2012  start with 11036892 relations
Tue Nov 06 21:47:43 2012  pruned 240443 relations
Tue Nov 06 21:47:43 2012  memory use: 291.9 MB
Tue Nov 06 21:47:43 2012  distribution of cycle lengths:
Tue Nov 06 21:47:43 2012  1 relations: 278035
Tue Nov 06 21:47:43 2012  2 relations: 242323
Tue Nov 06 21:47:43 2012  3 relations: 226709
Tue Nov 06 21:47:43 2012  4 relations: 196437
Tue Nov 06 21:47:43 2012  5 relations: 174191
Tue Nov 06 21:47:43 2012  6 relations: 144917
Tue Nov 06 21:47:43 2012  7 relations: 124814
Tue Nov 06 21:47:43 2012  8 relations: 104586
Tue Nov 06 21:47:43 2012  9 relations: 87082
Tue Nov 06 21:47:43 2012  10+ relations: 331267
Tue Nov 06 21:47:43 2012  heaviest cycle: 27 relations
Tue Nov 06 21:47:44 2012  RelProcTime: 542
Tue Nov 06 21:47:44 2012  elapsed time 00:09:04
Tue Nov 06 21:47:44 2012 LatSieveTime: 2848.83
Tue Nov 06 21:47:45 2012 -> Running matrix solving step ...
Tue Nov 06 21:47:45 2012  
Tue Nov 06 21:47:46 2012  commencing linear algebra
Tue Nov 06 21:47:47 2012  read 1910361 cycles
Tue Nov 06 21:47:50 2012  cycles contain 6173914 unique relations
Tue Nov 06 21:48:42 2012  read 6173914 relations
Tue Nov 06 21:48:50 2012  using 20 quadratic characters above 268435244
Tue Nov 06 21:49:18 2012  building initial matrix
Tue Nov 06 21:50:24 2012  memory use: 675.1 MB
Tue Nov 06 21:50:29 2012  read 1910361 cycles
Tue Nov 06 21:50:29 2012  matrix is 1910183 x 1910361 (543.6 MB) with weight 167685440 (87.78/col)
Tue Nov 06 21:50:29 2012  sparse part has weight 129141365 (67.60/col)
Tue Nov 06 21:50:49 2012  filtering completed in 2 passes
Tue Nov 06 21:50:50 2012  matrix is 1909142 x 1909320 (543.6 MB) with weight 167653776 (87.81/col)
Tue Nov 06 21:50:50 2012  sparse part has weight 129131755 (67.63/col)
Tue Nov 06 21:50:54 2012  matrix starts at (0, 0)
Tue Nov 06 21:50:55 2012  matrix is 1909142 x 1909320 (543.6 MB) with weight 167653776 (87.81/col)
Tue Nov 06 21:50:55 2012  sparse part has weight 129131755 (67.63/col)
Tue Nov 06 21:50:55 2012  saving the first 48 matrix rows for later
Tue Nov 06 21:50:56 2012  matrix includes 64 packed rows
Tue Nov 06 21:50:56 2012  matrix is 1909094 x 1909320 (512.1 MB) with weight 133715440 (70.03/col)
Tue Nov 06 21:50:56 2012  sparse part has weight 122790098 (64.31/col)
Tue Nov 06 21:50:56 2012  using block size 65536 for processor cache size 8192 kB
Tue Nov 06 21:51:06 2012  commencing Lanczos iteration (8 threads)
Tue Nov 06 21:51:06 2012  memory use: 534.3 MB
Tue Nov 06 21:51:18 2012  linear algebra at 0.1%, ETA 3h50m
Tue Nov 06 21:51:22 2012  checkpointing every 490000 dimensions
Wed Nov 07 01:52:26 2012  lanczos halted after 30192 iterations (dim = 1909092)
Wed Nov 07 01:52:31 2012  recovered 37 nontrivial dependencies
Wed Nov 07 01:52:31 2012  BLanczosTime: 14685
Wed Nov 07 01:52:31 2012  elapsed time 04:04:46
Wed Nov 07 01:52:31 2012 -> Running square root step ...
Wed Nov 07 01:52:31 2012  
Wed Nov 07 01:52:32 2012  commencing square root phase
Wed Nov 07 01:52:32 2012  reading relations for dependency 1
Wed Nov 07 01:52:33 2012  read 954416 cycles
Wed Nov 07 01:52:35 2012  cycles contain 3083920 unique relations
Wed Nov 07 01:53:14 2012  read 3083920 relations
Wed Nov 07 01:53:30 2012  multiplying 3083920 relations
Wed Nov 07 01:57:07 2012  multiply complete, coefficients have about 75.57 million bits
Wed Nov 07 01:57:07 2012  initial square root is modulo 265711
Wed Nov 07 02:01:45 2012  GCD is 1, no factor found
Wed Nov 07 02:01:45 2012  reading relations for dependency 2
Wed Nov 07 02:01:45 2012  read 954158 cycles
Wed Nov 07 02:01:47 2012  cycles contain 3087784 unique relations
Wed Nov 07 02:02:24 2012  read 3087784 relations
Wed Nov 07 02:02:40 2012  multiplying 3087784 relations
Wed Nov 07 02:06:17 2012  multiply complete, coefficients have about 75.66 million bits
Wed Nov 07 02:06:17 2012  initial square root is modulo 269981
Wed Nov 07 02:10:54 2012  sqrtTime: 1102
Wed Nov 07 02:10:54 2012  prp57 factor: 629589472322495446334663675031264845997425910079012360357
Wed Nov 07 02:10:54 2012  prp93 factor: 100084720178780115237981541387311663053886915308400483818855627013027077953155995355273351769
Wed Nov 07 02:10:54 2012  elapsed time 00:18:23
Wed Nov 07 02:10:54 2012 -> Computing 1.35225e+09 scale for this machine...
Wed Nov 07 02:10:54 2012 -> procrels -speedtest> PIPE
Wed Nov 07 02:10:58 2012 -> Factorization summary written to s191-40003_190.txt



Number: 40003_190
N = 63012286164902784862115566256894294516558531998452560198459491066024731451192780286328215103179379574403277357162667406511048462390811100211451421533 (149 digits)
SNFS difficulty: 191 digits.
Divisors found:
r1=629589472322495446334663675031264845997425910079012360357 (pp57)
r2=100084720178780115237981541387311663053886915308400483818855627013027077953155995355273351769 (pp93)
Version: Msieve v. 1.50 (SVN 708)
Total time: 60.04 hours.
Factorization parameters were as follows:
n: 63012286164902784862115566256894294516558531998452560198459491066024731451192780286328215103179379574403277357162667406511048462390811100211451421533
m: 100000000000000000000000000000000000000
deg: 5
c5: 4
c0: 3
skew: 0.94
# Murphy_E = 5.387e-11
type: snfs
lss: 1
rlim: 10500000
alim: 10500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5

Factor base limits: 10500000/10500000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 21335117
Relations: 3087784 relations
Pruned matrix : 1909094 x 1909320
Polynomial selection time: 0.00 hours.
Total sieving time: 55.51 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 4.08 hours.
time per square root: 0.31 hours.
Prototype def-par.txt line would be: snfs,191,5,0,0,0,0,0,0,0,0,10500000,10500000,28,28,54,54,2.5,2.5,100000
total time: 60.04 hours.
Intel64 Family 6 Model 26 Stepping 5, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.80GHz
software ソフトウェア
GGNFS-SVN430, msieve 1.50 (SVN 408)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMay 25, 2007 09:00:00 UTC 2007 年 5 月 25 日 (金) 18 時 0 分 0 秒 (日本時間)
351e6904suberiSeptember 6, 2008 07:51:36 UTC 2008 年 9 月 6 日 (土) 16 時 51 分 36 秒 (日本時間)
403e62100Youcef LemsaferNovember 4, 2012 11:26:38 UTC 2012 年 11 月 4 日 (日) 20 時 26 分 38 秒 (日本時間)
4511e62000Youcef LemsaferNovember 4, 2012 11:26:38 UTC 2012 年 11 月 4 日 (日) 20 時 26 分 38 秒 (日本時間)
5043e6671 / 7020Youcef LemsaferNovember 4, 2012 11:26:38 UTC 2012 年 11 月 4 日 (日) 20 時 26 分 38 秒 (日本時間)

4×10191+3

c157

name 名前Youcef Lemsafer
date 日付January 9, 2014 20:24:37 UTC 2014 年 1 月 10 日 (金) 5 時 24 分 37 秒 (日本時間)
composite number 合成数
4398494470727862035136007069942900812170257219436438393714402359879483082450124049631605456308415670106421827950293978769072580707443477867388157187996552963<157>
prime factors 素因数
496857887136613356073364815759143715926429945989<48>
8852620808892333828220623190726176571486957207475902564329512905997388043044240977592574442388795812594875367<109>
factorization results 素因数分解の結果
Tue Jan 07 07:41:34 2014 -> factmsieve.py (v0.76)
Tue Jan 07 07:41:34 2014 -> This is client 1 of 1
Tue Jan 07 07:41:34 2014 -> Running on 4 Cores with 2 hyper-threads per Core
Tue Jan 07 07:41:34 2014 -> Working with NAME = 40003_191
Tue Jan 07 07:41:34 2014 -> Selected lattice siever: gnfs-lasieve4I13e
Tue Jan 07 07:41:34 2014 -> Creating param file to detect parameter changes...
Tue Jan 07 07:41:34 2014 -> Running setup ...
Tue Jan 07 07:41:34 2014 -> Estimated minimum relations needed: 2.2022e+07
Tue Jan 07 07:41:34 2014 -> cleaning up before a restart
Tue Jan 07 07:41:35 2014 -> Running lattice siever ...
Tue Jan 07 07:41:35 2014 -> entering sieving loop
<...snipped...>
Tue Jan 07 07:41:35 2014 -> Lattice sieving rational q from 4500000 to 4600000.
<...snipped...>
Tue Jan 07 08:12:02 2014 Found 235868 relations, 1.1% of the estimated minimum (22022019).
<...snipped...>
Thu Jan 09 15:55:12 2014 -> Lattice sieving rational q from 14300000 to 14400000.
<...snipped...>
Thu Jan 09 16:30:49 2014 Found 22111717 relations, 100.4% of the estimated minimum (22022019).
Thu Jan 09 16:30:49 2014  
Thu Jan 09 16:30:49 2014  
Thu Jan 09 16:30:49 2014  Msieve v. 1.51 (SVN Official Release)
Thu Jan 09 16:30:49 2014  random seeds: fbcf37e0 3dedf81b
Thu Jan 09 16:30:49 2014  factoring 4398494470727862035136007069942900812170257219436438393714402359879483082450124049631605456308415670106421827950293978769072580707443477867388157187996552963 (157 digits)
Thu Jan 09 16:30:50 2014  searching for 15-digit factors
Thu Jan 09 16:30:50 2014  commencing number field sieve (157-digit input)
Thu Jan 09 16:30:51 2014  R0: -100000000000000000000000000000000000000
Thu Jan 09 16:30:51 2014  R1: 1
Thu Jan 09 16:30:51 2014  A0: 3
Thu Jan 09 16:30:51 2014  A1: 0
Thu Jan 09 16:30:51 2014  A2: 0
Thu Jan 09 16:30:51 2014  A3: 0
Thu Jan 09 16:30:51 2014  A4: 0
Thu Jan 09 16:30:51 2014  A5: 40
Thu Jan 09 16:30:51 2014  skew 0.60, size 3.292e-013, alpha 0.443, combined = 4.062e-011 rroots = 1
Thu Jan 09 16:30:51 2014  
Thu Jan 09 16:30:51 2014  commencing relation filtering
Thu Jan 09 16:30:51 2014  estimated available RAM is 8189.6 MB
Thu Jan 09 16:30:51 2014  commencing duplicate removal, pass 1
Thu Jan 09 16:32:21 2014  found 3307831 hash collisions in 22111716 relations
Thu Jan 09 16:33:01 2014  added 715753 free relations
Thu Jan 09 16:33:01 2014  commencing duplicate removal, pass 2
Thu Jan 09 16:33:11 2014  found 2994488 duplicates and 19832981 unique relations
Thu Jan 09 16:33:11 2014  memory use: 98.6 MB
Thu Jan 09 16:33:11 2014  reading ideals above 720000
Thu Jan 09 16:33:12 2014  commencing singleton removal, initial pass
Thu Jan 09 16:35:32 2014  memory use: 689.0 MB
Thu Jan 09 16:35:32 2014  reading all ideals from disk
Thu Jan 09 16:35:32 2014  memory use: 631.8 MB
Thu Jan 09 16:35:34 2014  keeping 21617762 ideals with weight <= 200, target excess is 116926
Thu Jan 09 16:35:35 2014  commencing in-memory singleton removal
Thu Jan 09 16:35:37 2014  begin with 19832981 relations and 21617762 unique ideals
Thu Jan 09 16:35:53 2014  reduce to 8612983 relations and 8172646 ideals in 20 passes
Thu Jan 09 16:35:53 2014  max relations containing the same ideal: 115
Thu Jan 09 16:35:57 2014  removing 1207905 relations and 1055554 ideals in 152351 cliques
Thu Jan 09 16:35:57 2014  commencing in-memory singleton removal
Thu Jan 09 16:35:58 2014  begin with 7405078 relations and 8172646 unique ideals
Thu Jan 09 16:36:03 2014  reduce to 7256740 relations and 6965005 ideals in 10 passes
Thu Jan 09 16:36:03 2014  max relations containing the same ideal: 99
Thu Jan 09 16:36:07 2014  removing 911978 relations and 759627 ideals in 152351 cliques
Thu Jan 09 16:36:07 2014  commencing in-memory singleton removal
Thu Jan 09 16:36:07 2014  begin with 6344762 relations and 6965005 unique ideals
Thu Jan 09 16:36:12 2014  reduce to 6247721 relations and 6106118 ideals in 9 passes
Thu Jan 09 16:36:12 2014  max relations containing the same ideal: 92
Thu Jan 09 16:36:15 2014  relations with 0 large ideals: 2964
Thu Jan 09 16:36:16 2014  relations with 1 large ideals: 945
Thu Jan 09 16:36:16 2014  relations with 2 large ideals: 17214
Thu Jan 09 16:36:16 2014  relations with 3 large ideals: 131875
Thu Jan 09 16:36:16 2014  relations with 4 large ideals: 532649
Thu Jan 09 16:36:16 2014  relations with 5 large ideals: 1254995
Thu Jan 09 16:36:16 2014  relations with 6 large ideals: 1832451
Thu Jan 09 16:36:16 2014  relations with 7+ large ideals: 2474628
Thu Jan 09 16:36:16 2014  commencing 2-way merge
Thu Jan 09 16:36:19 2014  reduce to 3727404 relation sets and 3585801 unique ideals
Thu Jan 09 16:36:19 2014  commencing full merge
Thu Jan 09 16:37:15 2014  memory use: 440.1 MB
Thu Jan 09 16:37:16 2014  found 1909709 cycles, need 1888001
Thu Jan 09 16:37:16 2014  weight of 1888001 cycles is about 132481592 (70.17/cycle)
Thu Jan 09 16:37:16 2014  distribution of cycle lengths:
Thu Jan 09 16:37:16 2014  1 relations: 258993
Thu Jan 09 16:37:16 2014  2 relations: 228712
Thu Jan 09 16:37:16 2014  3 relations: 214572
Thu Jan 09 16:37:16 2014  4 relations: 190488
Thu Jan 09 16:37:16 2014  5 relations: 172081
Thu Jan 09 16:37:16 2014  6 relations: 145581
Thu Jan 09 16:37:16 2014  7 relations: 127426
Thu Jan 09 16:37:16 2014  8 relations: 108620
Thu Jan 09 16:37:16 2014  9 relations: 91993
Thu Jan 09 16:37:16 2014  10+ relations: 349535
Thu Jan 09 16:37:16 2014  heaviest cycle: 23 relations
Thu Jan 09 16:37:16 2014  commencing cycle optimization
Thu Jan 09 16:37:18 2014  start with 10907086 relations
Thu Jan 09 16:37:35 2014  pruned 250639 relations
Thu Jan 09 16:37:35 2014  memory use: 361.9 MB
Thu Jan 09 16:37:35 2014  distribution of cycle lengths:
Thu Jan 09 16:37:35 2014  1 relations: 258993
Thu Jan 09 16:37:35 2014  2 relations: 233468
Thu Jan 09 16:37:35 2014  3 relations: 221533
Thu Jan 09 16:37:35 2014  4 relations: 194712
Thu Jan 09 16:37:35 2014  5 relations: 175609
Thu Jan 09 16:37:35 2014  6 relations: 147339
Thu Jan 09 16:37:35 2014  7 relations: 128695
Thu Jan 09 16:37:35 2014  8 relations: 108318
Thu Jan 09 16:37:35 2014  9 relations: 91539
Thu Jan 09 16:37:35 2014  10+ relations: 327795
Thu Jan 09 16:37:35 2014  heaviest cycle: 23 relations
Thu Jan 09 16:37:36 2014  RelProcTime: 405
Thu Jan 09 16:37:36 2014  elapsed time 00:06:47
Thu Jan 09 16:37:36 2014 LatSieveTime: 2544.92
Thu Jan 09 16:37:36 2014 -> Running matrix solving step ...
<...snipped...>
Thu Jan 09 16:37:38 2014  commencing linear algebra
Thu Jan 09 16:37:38 2014  read 1888001 cycles
Thu Jan 09 16:37:41 2014  cycles contain 6072323 unique relations
Thu Jan 09 16:38:24 2014  read 6072323 relations
Thu Jan 09 16:38:32 2014  using 20 quadratic characters above 268434162
Thu Jan 09 16:39:01 2014  building initial matrix
Thu Jan 09 16:40:04 2014  memory use: 760.8 MB
Thu Jan 09 16:40:05 2014  read 1888001 cycles
Thu Jan 09 16:40:06 2014  matrix is 1887822 x 1888001 (566.7 MB) with weight 169809493 (89.94/col)
Thu Jan 09 16:40:06 2014  sparse part has weight 127782809 (67.68/col)
Thu Jan 09 16:40:25 2014  filtering completed in 2 passes
Thu Jan 09 16:40:25 2014  matrix is 1885342 x 1885521 (566.5 MB) with weight 169724574 (90.01/col)
Thu Jan 09 16:40:25 2014  sparse part has weight 127754531 (67.76/col)
Thu Jan 09 16:40:29 2014  matrix starts at (0, 0)
Thu Jan 09 16:40:29 2014  matrix is 1885342 x 1885521 (566.5 MB) with weight 169724574 (90.01/col)
Thu Jan 09 16:40:29 2014  sparse part has weight 127754531 (67.76/col)
Thu Jan 09 16:40:29 2014  saving the first 48 matrix rows for later
Thu Jan 09 16:40:30 2014  matrix includes 64 packed rows
Thu Jan 09 16:40:30 2014  matrix is 1885294 x 1885521 (540.0 MB) with weight 134588379 (71.38/col)
Thu Jan 09 16:40:30 2014  sparse part has weight 122705922 (65.08/col)
Thu Jan 09 16:40:30 2014  using block size 65536 for processor cache size 8192 kB
Thu Jan 09 16:40:38 2014  commencing Lanczos iteration (8 threads)
Thu Jan 09 16:40:38 2014  memory use: 531.1 MB
Thu Jan 09 16:40:50 2014  linear algebra at 0.1%, ETA 3h46m
Thu Jan 09 16:40:53 2014  checkpointing every 530000 dimensions
Thu Jan 09 20:39:16 2014  lanczos halted after 29816 iterations (dim = 1885292)
Thu Jan 09 20:39:19 2014  recovered 38 nontrivial dependencies
Thu Jan 09 20:39:19 2014  BLanczosTime: 14501
Thu Jan 09 20:39:19 2014  elapsed time 04:01:42
Thu Jan 09 20:39:19 2014 -> Running square root step ...
<...snipped...>
Thu Jan 09 20:39:20 2014  commencing square root phase
Thu Jan 09 20:39:20 2014  reading relations for dependency 1
Thu Jan 09 20:39:20 2014  read 943202 cycles
Thu Jan 09 20:39:22 2014  cycles contain 3038684 unique relations
Thu Jan 09 20:39:53 2014  read 3038684 relations
Thu Jan 09 20:40:08 2014  multiplying 3038684 relations
Thu Jan 09 20:41:55 2014  multiply complete, coefficients have about 83.50 million bits
Thu Jan 09 20:41:56 2014  initial square root is modulo 985571
Thu Jan 09 20:44:15 2014  sqrtTime: 295
Thu Jan 09 20:44:15 2014  prp48 factor: 496857887136613356073364815759143715926429945989
Thu Jan 09 20:44:15 2014  prp109 factor: 8852620808892333828220623190726176571486957207475902564329512905997388043044240977592574442388795812594875367
Thu Jan 09 20:44:15 2014  elapsed time 00:04:56
Thu Jan 09 20:44:15 2014 -> Computing 1.3893e+09 scale for this machine...
Thu Jan 09 20:44:15 2014 -> procrels -speedtest> PIPE
Thu Jan 09 20:44:18 2014 -> Factorization summary written to s192-40003_191.txt


Number: 40003_191
N = 4398494470727862035136007069942900812170257219436438393714402359879483082450124049631605456308415670106421827950293978769072580707443477867388157187996552963 (157 digits)
SNFS difficulty: 192 digits.
Divisors found:
r1=496857887136613356073364815759143715926429945989 (pp48)
r2=8852620808892333828220623190726176571486957207475902564329512905997388043044240977592574442388795812594875367 (pp109)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 61.14 hours.
Factorization parameters were as follows:
#
# 40003_191, SNFS_diff 191.6
#
n: 4398494470727862035136007069942900812170257219436438393714402359879483082450124049631605456308415670106421827950293978769072580707443477867388157187996552963
m: 100000000000000000000000000000000000000
deg: 5
c5: 40
c0: 3
skew: 0.60
# Murphy_E = 4.568e-11
type: snfs
lss: 1
rlim: 10900000
alim: 10900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
q0: 4500000
Factor base limits: 10900000/10900000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 22111717
Relations: 3038684 relations
Pruned matrix : 1885294 x 1885521
Polynomial selection time: 0.00 hours.
Total sieving time: 56.92 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 4.03 hours.
time per square root: 0.08 hours.
Prototype def-par.txt line would be: snfs,192,5,0,0,0,0,0,0,0,0,10900000,10900000,28,28,54,54,2.5,2.5,100000
total time: 61.14 hours.
Intel64 Family 6 Model 26 Stepping 5, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.80GHz
software ソフトウェア
GGNFS (SVN 440), msieve 1.51
execution environment 実行環境
Windows 7 Pro 64-bit, Intel Xeon W3530 @ 2.8 GHz, 8GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMay 25, 2007 09:00:00 UTC 2007 年 5 月 25 日 (金) 18 時 0 分 0 秒 (日本時間)
351e6904suberiSeptember 6, 2008 07:51:47 UTC 2008 年 9 月 6 日 (土) 16 時 51 分 47 秒 (日本時間)
403e62352Youcef LemsaferNovember 12, 2012 19:54:06 UTC 2012 年 11 月 13 日 (火) 4 時 54 分 6 秒 (日本時間)
4511e64500Youcef LemsaferNovember 12, 2012 19:54:06 UTC 2012 年 11 月 13 日 (火) 4 時 54 分 6 秒 (日本時間)
5043e6400 / 6449Youcef LemsaferNovember 12, 2012 19:54:06 UTC 2012 年 11 月 13 日 (火) 4 時 54 分 6 秒 (日本時間)

4×10193+3

c175

composite cofactor 合成数の残り
4335547469834061658147640270649033830947751346180887685982242725322739227885527197088689212274797976410149229278074449718558275634579825277633238195596546383299247872616363363<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMay 25, 2007 09:00:00 UTC 2007 年 5 月 25 日 (金) 18 時 0 分 0 秒 (日本時間)
351e6904suberiSeptember 6, 2008 07:52:05 UTC 2008 年 9 月 6 日 (土) 16 時 52 分 5 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:47:31 UTC 2012 年 11 月 16 日 (金) 23 時 47 分 31 秒 (日本時間)
4511e6600 / 4216Dmitry DomanovNovember 27, 2012 15:57:01 UTC 2012 年 11 月 28 日 (水) 0 時 57 分 1 秒 (日本時間)

4×10194+3

c134

name 名前Robert Backstrom
date 日付April 14, 2008 23:50:44 UTC 2008 年 4 月 15 日 (火) 8 時 50 分 44 秒 (日本時間)
composite number 合成数
97351190657200399666172376858653433454439311965255604504585451599228087215506048301091684626851628945893217106392383861289160925526283<134>
prime factors 素因数
1097437743804222790112801602356295333<37>
88707711400317344925950831681572035023026603223066152620648506409066689217254920192657566027207151<98>
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 97351190657200399666172376858653433454439311965255604504585451599228087215506048301091684626851628945893217106392383861289160925526283 (134 digits)
Using B1=3962000, B2=5969970420, polynomial Dickson(6), sigma=529594722
Step 1 took 47547ms
Step 2 took 24265ms
********** Factor found in step 2: 1097437743804222790112801602356295333
Found probable prime factor of 37 digits: 1097437743804222790112801602356295333
Probable prime cofactor 88707711400317344925950831681572035023026603223066152620648506409066689217254920192657566027207151 has 98 digits

4×10195+3

c191

name 名前matsui
date 日付May 16, 2008 23:41:55 UTC 2008 年 5 月 17 日 (土) 8 時 41 分 55 秒 (日本時間)
composite number 合成数
11953893831491935604373929752942899237640420896601806831052630006066601119482157319219769349618521363102513605025416966759209728078800068137194839504032944931399591774525654550399110630298937<191>
prime factors 素因数
1899148878726749048488989889567829<34>
composite cofactor 合成数の残り
6294342673917283095296597333781389878764955396535221356317197348749861635004950569207387365842036953134093517964225806435213623451826519913911915772485876053<157>
factorization results 素因数分解の結果
Input number is 11953893831491935604373929752942899237640420896601806831052630006066601119482157319219769349618521363102513605025416966759209728078800068137194839504032944931399591774525654550399110630298937 (191 digits)

Using B1=80000000, B2=582199712650, polynomial Dickson(30), sigma=1533119823

Step 1 took 2292664ms

Step 2 took 403747ms

********** Factor found in step 2: 1899148878726749048488989889567829

Found probable prime factor of 34 digits: 1899148878726749048488989889567829

Composite cofactor 6294342673917283095296597333781389878764955396535221356317197348749861635004950569207387365842036953134093517964225806435213623451826519913911915772485876053 has 157 digits

c157

name 名前Dmitry Domanov
date 日付November 18, 2012 13:26:52 UTC 2012 年 11 月 18 日 (日) 22 時 26 分 52 秒 (日本時間)
composite number 合成数
6294342673917283095296597333781389878764955396535221356317197348749861635004950569207387365842036953134093517964225806435213623451826519913911915772485876053<157>
prime factors 素因数
32601858539276085142790225160966382602241<41>
193066989304746770344432769201893486686057553632642714382109333422062514555086259523145588633095270924396313597858133<117>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=545160739
Step 1 took 103279ms
********** Factor found in step 1: 32601858539276085142790225160966382602241
Found probable prime factor of 41 digits: 32601858539276085142790225160966382602241

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMay 25, 2007 09:00:00 UTC 2007 年 5 月 25 日 (金) 18 時 0 分 0 秒 (日本時間)
351e6904suberiSeptember 6, 2008 07:52:33 UTC 2008 年 9 月 6 日 (土) 16 時 52 分 33 秒 (日本時間)
403e61000 / 2089Dmitry DomanovNovember 16, 2012 14:47:40 UTC 2012 年 11 月 16 日 (金) 23 時 47 分 40 秒 (日本時間)

4×10198+3

c160

name 名前matsui
date 日付September 29, 2008 20:30:27 UTC 2008 年 9 月 30 日 (火) 5 時 30 分 27 秒 (日本時間)
composite number 合成数
2638566529232341089643546066807989595166818810117536594989975833327270688254378755998477840372259078317921239139584373535543895418449639572065879395910130094201<160>
prime factors 素因数
22355415272513896662048780081754279783<38>
118028070472771437685486920896484037107828428621451610964475648743976065340805709497284979806314122890506877033820039746847<123>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
2638566529232341089643546066807989595166818810117536594989975833327270688254378755998477840372259078317921239139584373535543895418449639572065879395910130094201
=22355415272513896662048780081754279783* 118028070472771437685486920896484037107828428621451610964475648743976065340805709497284979806314122890506877033820039746847

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMay 25, 2007 09:00:00 UTC 2007 年 5 月 25 日 (金) 18 時 0 分 0 秒 (日本時間)
351e6904suberiSeptember 6, 2008 07:52:44 UTC 2008 年 9 月 6 日 (土) 16 時 52 分 44 秒 (日本時間)

4×10199+3

c164

name 名前Youcef Lemsafer
date 日付November 4, 2012 04:32:04 UTC 2012 年 11 月 4 日 (日) 13 時 32 分 4 秒 (日本時間)
composite number 合成数
91731846444149282395183045329358971581786594897232060962151261769801087003729907341616894523281414484963839531410779527315328140564686878844874943589901734834104821<164>
prime factors 素因数
4991400986540152551808517427177441442627<40>
18377975781051058172783152369408940453134121073012417417787451223164907643698737199603426353365174187001561474880862157637223<125>
factorization results 素因数分解の結果
GMP-ECM 6.4.2 [configured with GMP 5.0.5, --enable-asm-redc] [ECM]
Input number is (10^199*4+3)/436053579542344711567417124370558743 (164 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3465487454
Step 1 took 16552ms
Step 2 took 7051ms
********** Factor found in step 2: 4991400986540152551808517427177441442627
Found probable prime factor of 40 digits: 4991400986540152551808517427177441442627
Probable prime cofactor ((10^199*4+3)/436053579542344711567417124370558743)/4991400986540152551808517427177441442627 has 125 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMay 25, 2007 09:00:00 UTC 2007 年 5 月 25 日 (金) 18 時 0 分 0 秒 (日本時間)
351e6904suberiSeptember 6, 2008 07:52:52 UTC 2008 年 9 月 6 日 (土) 16 時 52 分 52 秒 (日本時間)
403e6615 / 2089Youcef LemsaferNovember 4, 2012 04:30:10 UTC 2012 年 11 月 4 日 (日) 13 時 30 分 10 秒 (日本時間)

4×10200+3

c157

composite cofactor 合成数の残り
1510533456914556659284000396935645808300129721824648349906140727379221285272794845339437152159459642112098507021131327692168684883902682243075699276411538793<157>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMay 25, 2007 09:00:00 UTC 2007 年 5 月 25 日 (金) 18 時 0 分 0 秒 (日本時間)
351e6904suberiSeptember 6, 2008 07:53:01 UTC 2008 年 9 月 6 日 (土) 16 時 53 分 1 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:47:55 UTC 2012 年 11 月 16 日 (金) 23 時 47 分 55 秒 (日本時間)
4511e6600 / 4216Dmitry DomanovNovember 27, 2012 15:56:50 UTC 2012 年 11 月 28 日 (水) 0 時 56 分 50 秒 (日本時間)

4×10201+3

c178

name 名前Youcef Lemsafer
date 日付January 11, 2014 10:37:07 UTC 2014 年 1 月 11 日 (土) 19 時 37 分 7 秒 (日本時間)
composite number 合成数
5664877838262052359511066294628064534767972840953739675106092220952422125973353139059527703430926618948641104199159765942978825358620507099076764560971231458793344791553333904099<178>
prime factors 素因数
55666002587068831184719813551787647635352501345999778360804123<62>
101765486562492975664464010218464694031797606985557466323154868219064829799187863546776410364117597258832751486743513<117>
factorization results 素因数分解の結果
Thu Jan 09 16:40:56 2014 -> factmsieve.py (v0.76)
Thu Jan 09 16:40:56 2014 -> This is client 1 of 1
Thu Jan 09 16:40:56 2014 -> Running on 12 Cores with 2 hyper-threads per Core
Thu Jan 09 16:40:56 2014 -> Working with NAME = 40003_201
Thu Jan 09 16:40:56 2014 -> Selected lattice siever: gnfs-lasieve4I14e
Thu Jan 09 16:40:56 2014 -> Creating param file to detect parameter changes...
Thu Jan 09 16:40:56 2014 -> Running setup ...
Thu Jan 09 16:40:56 2014 -> Estimated minimum relations needed: 3.05995e+07
Thu Jan 09 16:40:56 2014 -> cleaning up before a restart
Thu Jan 09 16:40:56 2014 -> Running lattice siever ...
Thu Jan 09 16:40:56 2014 -> entering sieving loop
<...snipped...>
Thu Jan 09 16:40:56 2014 -> Lattice sieving rational q from 6500000 to 6600000.
<...snipped...>
Thu Jan 09 17:04:28 2014 Found 492351 relations, 1.6% of the estimated minimum (30599496).
<...snipped...>
Sat Jan 11 01:01:27 2014 -> Lattice sieving rational q from 13900000 to 14000000.
<...snipped...>
Sat Jan 11 01:26:55 2014 Found 37360207 relations, 122.1% of the estimated minimum (30599496).
Sat Jan 11 01:26:55 2014  
Sat Jan 11 01:26:55 2014  
Sat Jan 11 01:26:55 2014  Msieve v. 1.51 (SVN Official Release)
Sat Jan 11 01:26:55 2014  random seeds: 884817c0 51f4d0c8
Sat Jan 11 01:26:55 2014  factoring 5664877838262052359511066294628064534767972840953739675106092220952422125973353139059527703430926618948641104199159765942978825358620507099076764560971231458793344791553333904099 (178 digits)
Sat Jan 11 01:26:56 2014  searching for 15-digit factors
Sat Jan 11 01:26:56 2014  commencing number field sieve (178-digit input)
Sat Jan 11 01:26:56 2014  R0: -10000000000000000000000000000000000000000
Sat Jan 11 01:26:56 2014  R1: 1
Sat Jan 11 01:26:56 2014  A0: 3
Sat Jan 11 01:26:56 2014  A1: 0
Sat Jan 11 01:26:56 2014  A2: 0
Sat Jan 11 01:26:56 2014  A3: 0
Sat Jan 11 01:26:56 2014  A4: 0
Sat Jan 11 01:26:56 2014  A5: 40
Sat Jan 11 01:26:56 2014  skew 0.60, size 7.091e-014, alpha 0.443, combined = 1.557e-011 rroots = 1
Sat Jan 11 01:26:56 2014  
Sat Jan 11 01:26:56 2014  commencing relation filtering
Sat Jan 11 01:26:56 2014  estimated available RAM is 32739.1 MB
Sat Jan 11 01:26:56 2014  commencing duplicate removal, pass 1
Sat Jan 11 01:30:18 2014  skipped 1 relations with b > 2^32
Sat Jan 11 01:30:18 2014  found 3840856 hash collisions in 37360205 relations
Sat Jan 11 01:31:16 2014  added 65 free relations
Sat Jan 11 01:31:16 2014  commencing duplicate removal, pass 2
Sat Jan 11 01:31:39 2014  found 3057732 duplicates and 34302538 unique relations
Sat Jan 11 01:31:39 2014  memory use: 138.6 MB
Sat Jan 11 01:31:39 2014  reading ideals above 720000
Sat Jan 11 01:31:39 2014  commencing singleton removal, initial pass
Sat Jan 11 01:36:49 2014  memory use: 753.0 MB
Sat Jan 11 01:36:50 2014  reading all ideals from disk
Sat Jan 11 01:36:51 2014  memory use: 1157.2 MB
Sat Jan 11 01:36:55 2014  keeping 37796984 ideals with weight <= 200, target excess is 183356
Sat Jan 11 01:36:59 2014  commencing in-memory singleton removal
Sat Jan 11 01:37:02 2014  begin with 34302538 relations and 37796984 unique ideals
Sat Jan 11 01:37:37 2014  reduce to 12212070 relations and 11961754 ideals in 23 passes
Sat Jan 11 01:37:37 2014  max relations containing the same ideal: 102
Sat Jan 11 01:37:44 2014  removing 396529 relations and 377717 ideals in 18812 cliques
Sat Jan 11 01:37:44 2014  commencing in-memory singleton removal
Sat Jan 11 01:37:45 2014  begin with 11815541 relations and 11961754 unique ideals
Sat Jan 11 01:37:56 2014  reduce to 11802963 relations and 11571430 ideals in 10 passes
Sat Jan 11 01:37:56 2014  max relations containing the same ideal: 99
Sat Jan 11 01:38:03 2014  removing 282436 relations and 263624 ideals in 18812 cliques
Sat Jan 11 01:38:03 2014  commencing in-memory singleton removal
Sat Jan 11 01:38:04 2014  begin with 11520527 relations and 11571430 unique ideals
Sat Jan 11 01:38:14 2014  reduce to 11513802 relations and 11301065 ideals in 9 passes
Sat Jan 11 01:38:14 2014  max relations containing the same ideal: 96
Sat Jan 11 01:38:17 2014  relations with 0 large ideals: 3784
Sat Jan 11 01:38:17 2014  relations with 1 large ideals: 1547
Sat Jan 11 01:38:17 2014  relations with 2 large ideals: 25627
Sat Jan 11 01:38:17 2014  relations with 3 large ideals: 206125
Sat Jan 11 01:38:17 2014  relations with 4 large ideals: 892428
Sat Jan 11 01:38:17 2014  relations with 5 large ideals: 2238527
Sat Jan 11 01:38:17 2014  relations with 6 large ideals: 3410753
Sat Jan 11 01:38:17 2014  relations with 7+ large ideals: 4735011
Sat Jan 11 01:38:17 2014  commencing 2-way merge
Sat Jan 11 01:38:27 2014  reduce to 6380964 relation sets and 6168249 unique ideals
Sat Jan 11 01:38:27 2014  ignored 23 oversize relation sets
Sat Jan 11 01:38:27 2014  commencing full merge
Sat Jan 11 01:40:39 2014  memory use: 679.9 MB
Sat Jan 11 01:40:40 2014  found 3259981 cycles, need 3246449
Sat Jan 11 01:40:40 2014  weight of 3246449 cycles is about 227402646 (70.05/cycle)
Sat Jan 11 01:40:40 2014  distribution of cycle lengths:
Sat Jan 11 01:40:40 2014  1 relations: 462088
Sat Jan 11 01:40:40 2014  2 relations: 450588
Sat Jan 11 01:40:40 2014  3 relations: 419675
Sat Jan 11 01:40:40 2014  4 relations: 358475
Sat Jan 11 01:40:40 2014  5 relations: 303693
Sat Jan 11 01:40:40 2014  6 relations: 248464
Sat Jan 11 01:40:40 2014  7 relations: 198862
Sat Jan 11 01:40:40 2014  8 relations: 157935
Sat Jan 11 01:40:40 2014  9 relations: 126956
Sat Jan 11 01:40:40 2014  10+ relations: 519713
Sat Jan 11 01:40:40 2014  heaviest cycle: 28 relations
Sat Jan 11 01:40:41 2014  commencing cycle optimization
Sat Jan 11 01:40:47 2014  start with 18134438 relations
Sat Jan 11 01:41:24 2014  pruned 283825 relations
Sat Jan 11 01:41:24 2014  memory use: 643.9 MB
Sat Jan 11 01:41:24 2014  distribution of cycle lengths:
Sat Jan 11 01:41:24 2014  1 relations: 462088
Sat Jan 11 01:41:24 2014  2 relations: 458302
Sat Jan 11 01:41:24 2014  3 relations: 430983
Sat Jan 11 01:41:24 2014  4 relations: 362884
Sat Jan 11 01:41:24 2014  5 relations: 306344
Sat Jan 11 01:41:24 2014  6 relations: 248118
Sat Jan 11 01:41:24 2014  7 relations: 197163
Sat Jan 11 01:41:24 2014  8 relations: 155739
Sat Jan 11 01:41:24 2014  9 relations: 124424
Sat Jan 11 01:41:24 2014  10+ relations: 500404
Sat Jan 11 01:41:24 2014  heaviest cycle: 28 relations
Sat Jan 11 01:41:29 2014  RelProcTime: 873
Sat Jan 11 01:41:29 2014  elapsed time 00:14:34
Sat Jan 11 01:41:29 2014 LatSieveTime: 2402.33
Sat Jan 11 01:41:29 2014 -> Running matrix solving step ...
<...snipped...>
Sat Jan 11 01:41:31 2014  commencing linear algebra
Sat Jan 11 01:41:31 2014  read 3246449 cycles
Sat Jan 11 01:41:39 2014  cycles contain 11160248 unique relations
Sat Jan 11 01:42:49 2014  read 11160248 relations
Sat Jan 11 01:43:08 2014  using 20 quadratic characters above 536869952
Sat Jan 11 01:44:23 2014  building initial matrix
Sat Jan 11 01:47:11 2014  memory use: 1393.6 MB
Sat Jan 11 01:47:14 2014  read 3246449 cycles
Sat Jan 11 01:47:16 2014  matrix is 3246263 x 3246449 (981.9 MB) with weight 291669711 (89.84/col)
Sat Jan 11 01:47:16 2014  sparse part has weight 221683207 (68.28/col)
Sat Jan 11 01:48:00 2014  filtering completed in 2 passes
Sat Jan 11 01:48:01 2014  matrix is 3237683 x 3237868 (981.1 MB) with weight 291370221 (89.99/col)
Sat Jan 11 01:48:01 2014  sparse part has weight 221580505 (68.43/col)
Sat Jan 11 01:48:24 2014  matrix starts at (0, 0)
Sat Jan 11 01:48:25 2014  matrix is 3237683 x 3237868 (981.1 MB) with weight 291370221 (89.99/col)
Sat Jan 11 01:48:25 2014  sparse part has weight 221580505 (68.43/col)
Sat Jan 11 01:48:25 2014  saving the first 48 matrix rows for later
Sat Jan 11 01:48:27 2014  matrix includes 64 packed rows
Sat Jan 11 01:48:27 2014  matrix is 3237635 x 3237868 (937.8 MB) with weight 232779591 (71.89/col)
Sat Jan 11 01:48:27 2014  sparse part has weight 213466204 (65.93/col)
Sat Jan 11 01:48:27 2014  using block size 65536 for processor cache size 15360 kB
Sat Jan 11 01:48:46 2014  commencing Lanczos iteration (24 threads)
Sat Jan 11 01:48:46 2014  memory use: 1322.6 MB
Sat Jan 11 01:49:01 2014  linear algebra at 0.0%, ETA 8h19m
Sat Jan 11 01:49:06 2014  checkpointing every 390000 dimensions
Sat Jan 11 10:16:22 2014  lanczos halted after 51201 iterations (dim = 3237630)
Sat Jan 11 10:16:28 2014  recovered 35 nontrivial dependencies
Sat Jan 11 10:16:29 2014  BLanczosTime: 30898
Sat Jan 11 10:16:29 2014  elapsed time 08:35:00
Sat Jan 11 10:16:29 2014 -> Running square root step ...
<...snipped...>
Sat Jan 11 10:16:30 2014  commencing square root phase
Sat Jan 11 10:16:30 2014  reading relations for dependency 1
Sat Jan 11 10:16:31 2014  read 1617539 cycles
Sat Jan 11 10:16:35 2014  cycles contain 5575916 unique relations
Sat Jan 11 10:17:07 2014  read 5575916 relations
Sat Jan 11 10:17:44 2014  multiplying 5575916 relations
Sat Jan 11 10:22:07 2014  multiply complete, coefficients have about 159.22 million bits
Sat Jan 11 10:22:08 2014  initial square root is modulo 517711
Sat Jan 11 10:27:43 2014  GCD is 1, no factor found
Sat Jan 11 10:27:43 2014  reading relations for dependency 2
Sat Jan 11 10:27:44 2014  read 1619479 cycles
Sat Jan 11 10:27:47 2014  cycles contain 5575768 unique relations
Sat Jan 11 10:28:29 2014  read 5575768 relations
Sat Jan 11 10:29:11 2014  multiplying 5575768 relations
Sat Jan 11 10:34:14 2014  multiply complete, coefficients have about 159.22 million bits
Sat Jan 11 10:34:15 2014  initial square root is modulo 517571
Sat Jan 11 10:40:27 2014  GCD is 1, no factor found
Sat Jan 11 10:40:27 2014  reading relations for dependency 3
Sat Jan 11 10:40:28 2014  read 1617916 cycles
Sat Jan 11 10:40:32 2014  cycles contain 5576654 unique relations
Sat Jan 11 10:41:13 2014  read 5576654 relations
Sat Jan 11 10:41:54 2014  multiplying 5576654 relations
Sat Jan 11 10:46:54 2014  multiply complete, coefficients have about 159.24 million bits
Sat Jan 11 10:46:56 2014  initial square root is modulo 518741
Sat Jan 11 10:53:10 2014  GCD is N, no factor found
Sat Jan 11 10:53:10 2014  reading relations for dependency 4
Sat Jan 11 10:53:11 2014  read 1618991 cycles
Sat Jan 11 10:53:15 2014  cycles contain 5574732 unique relations
Sat Jan 11 10:53:55 2014  read 5574732 relations
Sat Jan 11 10:54:36 2014  multiplying 5574732 relations
Sat Jan 11 10:59:38 2014  multiply complete, coefficients have about 159.19 million bits
Sat Jan 11 10:59:40 2014  initial square root is modulo 516361
Sat Jan 11 11:05:56 2014  GCD is N, no factor found
Sat Jan 11 11:05:56 2014  reading relations for dependency 5
Sat Jan 11 11:05:57 2014  read 1618111 cycles
Sat Jan 11 11:06:01 2014  cycles contain 5575966 unique relations
Sat Jan 11 11:06:42 2014  read 5575966 relations
Sat Jan 11 11:07:23 2014  multiplying 5575966 relations
Sat Jan 11 11:12:19 2014  multiply complete, coefficients have about 159.22 million bits
Sat Jan 11 11:12:21 2014  initial square root is modulo 517711
Sat Jan 11 11:18:20 2014  sqrtTime: 3710
Sat Jan 11 11:18:20 2014  prp62 factor: 55666002587068831184719813551787647635352501345999778360804123
Sat Jan 11 11:18:20 2014  prp117 factor: 101765486562492975664464010218464694031797606985557466323154868219064829799187863546776410364117597258832751486743513
Sat Jan 11 11:18:20 2014  elapsed time 01:01:51
Sat Jan 11 11:18:20 2014 -> Computing 1.38944e+09 scale for this machine...
Sat Jan 11 11:18:20 2014 -> procrels -speedtest> PIPE
Sat Jan 11 11:18:24 2014 -> Factorization summary written to s202-40003_201.txt



Number: 40003_201
N = 5664877838262052359511066294628064534767972840953739675106092220952422125973353139059527703430926618948641104199159765942978825358620507099076764560971231458793344791553333904099 (178 digits)
SNFS difficulty: 202 digits.
Divisors found:
r1=55666002587068831184719813551787647635352501345999778360804123 (pp62)
r2=101765486562492975664464010218464694031797606985557466323154868219064829799187863546776410364117597258832751486743513 (pp117)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 42.85 hours.
Factorization parameters were as follows:
#
# 40003_201, SNFS_diff = 201.6
#
n: 5664877838262052359511066294628064534767972840953739675106092220952422125973353139059527703430926618948641104199159765942978825358620507099076764560971231458793344791553333904099
m: 10000000000000000000000000000000000000000
deg: 5
c5: 40
c0: 3
skew: 0.60
# Murphy_E = 1.755e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
q0: 6500000
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 37360207
Relations: 5575966 relations
Pruned matrix : 3237635 x 3237868
Polynomial selection time: 0.00 hours.
Total sieving time: 33.00 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 8.58 hours.
time per square root: 1.03 hours.
Prototype def-par.txt line would be: snfs,202,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000
total time: 42.85 hours.
Intel64 Family 6 Model 45 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 24, speed: 2.00GHz
software ソフトウェア
GGNFS (SVN 440), msieve 1.51
execution environment 実行環境
Windows 7 Pro 64-bit, 2x Intel Xeon E5-2620 @ 2.0 GHz, 32 GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 12, 2012 06:00:00 UTC 2012 年 11 月 12 日 (月) 15 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 14:53:33 UTC 2012 年 11 月 14 日 (水) 23 時 53 分 33 秒 (日本時間)
403e62352Youcef LemsaferNovember 16, 2012 08:01:58 UTC 2012 年 11 月 16 日 (金) 17 時 1 分 58 秒 (日本時間)
4511e64500Youcef LemsaferNovember 16, 2012 08:01:58 UTC 2012 年 11 月 16 日 (金) 17 時 1 分 58 秒 (日本時間)
5043e6400 / 6448Youcef LemsaferNovember 16, 2012 08:01:58 UTC 2012 年 11 月 16 日 (金) 17 時 1 分 58 秒 (日本時間)

4×10202+3

c203

name 名前Markus Tervooren
date 日付March 15, 2013 21:10:09 UTC 2013 年 3 月 16 日 (土) 6 時 10 分 9 秒 (日本時間)
composite number 合成数
40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003<203>
prime factors 素因数
1935408417379470350634773280499850478044062847264770421674284584576922879097177760442893509<91>
20667472374724774699183660392381951388966816047820142983688470223957706120195325118454188853859825490527108976167<113>
factorization results 素因数分解の結果
Msieve v. 1.51 (SVN 838M)
Fri Mar 15 13:11:55 2013
random seeds: 02f76506 9d939049
factoring 40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003 (203 digits)
searching for 15-digit factors
commencing number field sieve (203-digit input)
R0: -10000000000000000000000000000000000000000
R1: 1
A0: 3
A1: 0
A2: 0
A3: 0
A4: 0
A5: 400
skew 0.38, size 5.510e-14, alpha -0.182, combined = 1.346e-11 rroots = 1

commencing relation filtering
estimated available RAM is 16079.7 MB
commencing duplicate removal, pass 1
error -15 reading relation 3449792
error -9 reading relation 6875988
read 10M relations
error -15 reading relation 10280355
error -11 reading relation 13658894
error -15 reading relation 17013255
read 20M relations
error -9 reading relation 20322730
error -15 reading relation 23604020
error -11 reading relation 26826747
read 30M relations
error -9 reading relation 30388115
error -9 reading relation 33894508
error -9 reading relation 37448263
error -9 reading relation 37639364
error -15 reading relation 37715835
error -5 reading relation 38060981
error -9 reading relation 38214459
error -11 reading relation 38403402
error -15 reading relation 38554854
error -5 reading relation 38745909
error -1 reading relation 38898670
error -15 reading relation 39087655
error -11 reading relation 39239085
error -11 reading relation 39428618
error -11 reading relation 39507898
error -15 reading relation 39698663
error -15 reading relation 39887162
read 40M relations
error -5 reading relation 40073045
error -15 reading relation 40260448
error -11 reading relation 40410059
error -15 reading relation 40596056
error -11 reading relation 40676185
error -15 reading relation 40861543
error -11 reading relation 41046530
error -15 reading relation 41231427
error -15 reading relation 41417265
error -15 reading relation 41599296
error -11 reading relation 41680918
error -9 reading relation 41862415
error -9 reading relation 42045937
error -15 reading relation 42228195
error -11 reading relation 42410260
error -11 reading relation 42589208
error -11 reading relation 42851116
error -15 reading relation 43210806
error -9 reading relation 43389854
error -11 reading relation 43567571
error -9 reading relation 43652615
error -9 reading relation 43830406
error -11 reading relation 44008780
error -15 reading relation 44184864
error -9 reading relation 44362712
error -9 reading relation 44540330
error -11 reading relation 44626085
error -5 reading relation 44802181
error -15 reading relation 44833915
error -9 reading relation 44857042
error -9 reading relation 44889332
error -15 reading relation 44922064
error -15 reading relation 44953973
error -15 reading relation 44986135
error -11 reading relation 45018155
error -15 reading relation 45042753
error -9 reading relation 45074872
error -15 reading relation 45107289
error -1 reading relation 45138321
error -1 reading relation 45169923
error -1 reading relation 45202251
error -9 reading relation 45225664
error -11 reading relation 45257855
error -11 reading relation 45289591
error -11 reading relation 45321671
error -9 reading relation 45353455
error -11 reading relation 45385537
error -15 reading relation 45408802
error -11 reading relation 45440775
error -11 reading relation 45471806
error -11 reading relation 45503317
error -15 reading relation 45535536
error -15 reading relation 45566957
error -11 reading relation 45590146
error -11 reading relation 45652558
error -11 reading relation 45683666
error -15 reading relation 45715114
error -6 reading relation 45746132
error -15 reading relation 45770249
error -15 reading relation 45802340
error -9 reading relation 45834373
error -11 reading relation 45865432
error -11 reading relation 45896193
error -15 reading relation 45927289
error -9 reading relation 45935902
error -9 reading relation 45967494
error -15 reading relation 45991761
error -9 reading relation 46000622
error -15 reading relation 46008933
error -9 reading relation 46017280
error -15 reading relation 46025709
error -11 reading relation 46040543
read 50M relations
error -15 reading relation 50635250
error -1 reading relation 55395866
read 60M relations
error -5 reading relation 60185136
error -1 reading relation 64990955
error -9 reading relation 65055053
error -1 reading relation 65118085
error -11 reading relation 65181314
error -11 reading relation 65244026
error -11 reading relation 65308142
error -11 reading relation 65371120
read 70M relations
error -15 reading relation 70130998
error -15 reading relation 74882212
error -15 reading relation 75644516
error -9 reading relation 75653129
error -11 reading relation 75684721
error -9 reading relation 75707844
error -11 reading relation 75730007
error -15 reading relation 75752341
error -1 reading relation 75785122
error -15 reading relation 75809389
error -1 reading relation 75831838
skipped 14 relations with b > 2^32
found 8166520 hash collisions in 75854166 relations
added 2 free relations
commencing duplicate removal, pass 2
found 6624744 duplicates and 69229424 unique relations
memory use: 394.4 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 1506.0 MB
reading all ideals from disk
memory use: 2354.1 MB
keeping 67719656 ideals with weight <= 200, target excess is 442290
commencing in-memory singleton removal
begin with 69229424 relations and 67719656 unique ideals
reduce to 32786922 relations and 26387063 ideals in 16 passes
max relations containing the same ideal: 127
removing 4963758 relations and 3963758 ideals in 1000000 cliques
commencing in-memory singleton removal
begin with 27823164 relations and 26387063 unique ideals
reduce to 27211408 relations and 21787663 ideals in 9 passes
max relations containing the same ideal: 112
removing 3869384 relations and 2869384 ideals in 1000000 cliques
commencing in-memory singleton removal
begin with 23342024 relations and 21787663 unique ideals
reduce to 22919608 relations and 18480005 ideals in 8 passes
max relations containing the same ideal: 99
removing 3543175 relations and 2543175 ideals in 1000000 cliques
commencing in-memory singleton removal
begin with 19376433 relations and 18480005 unique ideals
reduce to 18976583 relations and 15520552 ideals in 8 passes
max relations containing the same ideal: 87
removing 3385359 relations and 2385359 ideals in 1000000 cliques
commencing in-memory singleton removal
begin with 15591224 relations and 15520552 unique ideals
reduce to 15169848 relations and 12693522 ideals in 7 passes
max relations containing the same ideal: 72
removing 3298352 relations and 2298352 ideals in 1000000 cliques
commencing in-memory singleton removal
begin with 11871496 relations and 12693522 unique ideals
reduce to 11387357 relations and 9882398 ideals in 9 passes
max relations containing the same ideal: 63
removing 3218690 relations and 2226788 ideals in 991902 cliques
commencing in-memory singleton removal
begin with 8168667 relations and 9882398 unique ideals
reduce to 7557450 relations and 6995117 ideals in 10 passes
max relations containing the same ideal: 46
removing 314490 relations and 265214 ideals in 49276 cliques
commencing in-memory singleton removal
begin with 7242960 relations and 6995117 unique ideals
reduce to 7233822 relations and 6720706 ideals in 6 passes
max relations containing the same ideal: 46
relations with 0 large ideals: 10029
relations with 1 large ideals: 39785
relations with 2 large ideals: 266281
relations with 3 large ideals: 923358
relations with 4 large ideals: 1798473
relations with 5 large ideals: 2043436
relations with 6 large ideals: 1432721
relations with 7+ large ideals: 719739
commencing 2-way merge
reduce to 4276025 relation sets and 3762909 unique ideals
commencing full merge
memory use: 439.4 MB
found 2285536 cycles, need 2215109
weight of 2215109 cycles is about 155164686 (70.05/cycle)
distribution of cycle lengths:
1 relations: 247401
2 relations: 245228
3 relations: 256755
4 relations: 250376
5 relations: 241786
6 relations: 215621
7 relations: 188325
8 relations: 155992
9 relations: 125461
10+ relations: 288164
heaviest cycle: 17 relations
commencing cycle optimization
start with 11987960 relations
pruned 279635 relations
memory use: 410.5 MB
distribution of cycle lengths:
1 relations: 247401
2 relations: 250356
3 relations: 265394
4 relations: 257215
5 relations: 249038
6 relations: 220175
7 relations: 191258
8 relations: 155601
9 relations: 123368
10+ relations: 255303
heaviest cycle: 17 relations
RelProcTime: 3334

commencing linear algebra
read 2215109 cycles
cycles contain 6898124 unique relations
read 6898124 relations
using 20 quadratic characters above 1073723070
building initial matrix
memory use: 859.1 MB
read 2215109 cycles
matrix is 2214927 x 2215109 (665.1 MB) with weight 195502566 (88.26/col)
sparse part has weight 149976879 (67.71/col)
filtering completed in 2 passes
matrix is 2212707 x 2212889 (664.9 MB) with weight 195429262 (88.31/col)
sparse part has weight 149947881 (67.76/col)
matrix starts at (0, 0)
matrix is 2212707 x 2212889 (664.9 MB) with weight 195429262 (88.31/col)
sparse part has weight 149947881 (67.76/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2212659 x 2212889 (632.9 MB) with weight 156650034 (70.79/col)
sparse part has weight 143773602 (64.97/col)
using block size 65536 for processor cache size 6144 kB
commencing Lanczos iteration (6 threads)
memory use: 590.3 MB
linear algebra at 0.1%, ETA 6h 4m2212889 dimensions (0.1%, ETA 6h 4m)    
checkpointing every 390000 dimensions889 dimensions (0.1%, ETA 5h45m)    
linear algebra completed 2212557 of 2212889 dimensions (100.0%, ETA 0h 0m)    
lanczos halted after 34991 iterations (dim = 2212658)
recovered 38 nontrivial dependencies
BLanczosTime: 20093

commencing square root phase
reading relations for dependency 1
read 1104570 cycles
cycles contain 3443632 unique relations
read 3443632 relations
multiplying 3443632 relations
multiply complete, coefficients have about 108.72 million bits
initial square root is modulo 63620071
Newton iteration failed to converge
algebraic square root failed
reading relations for dependency 2
read 1106068 cycles
cycles contain 3449604 unique relations
read 3449604 relations
multiplying 3449604 relations
multiply complete, coefficients have about 108.91 million bits
initial square root is modulo 65620741
GCD is 1, no factor found
reading relations for dependency 3
read 1106753 cycles
cycles contain 3451672 unique relations
read 3451672 relations
multiplying 3451672 relations
multiply complete, coefficients have about 108.97 million bits
initial square root is modulo 66349531
GCD is N, no factor found
reading relations for dependency 4
read 1106213 cycles
cycles contain 3446662 unique relations
read 3446662 relations
multiplying 3446662 relations
multiply complete, coefficients have about 108.81 million bits
initial square root is modulo 64633181
sqrtTime: 2436
prp91 factor: 1935408417379470350634773280499850478044062847264770421674284584576922879097177760442893509
prp113 factor: 20667472374724774699183660392381951388966816047820142983688470223957706120195325118454188853859825490527108976167
elapsed time 07:11:04

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 12, 2012 06:00:00 UTC 2012 年 11 月 12 日 (月) 15 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 14:53:44 UTC 2012 年 11 月 14 日 (水) 23 時 53 分 44 秒 (日本時間)
403e633521000Dmitry DomanovNovember 16, 2012 14:48:14 UTC 2012 年 11 月 16 日 (金) 23 時 48 分 14 秒 (日本時間)
2352Youcef LemsaferNovember 21, 2012 08:20:08 UTC 2012 年 11 月 21 日 (水) 17 時 20 分 8 秒 (日本時間)
4511e64500Youcef LemsaferNovember 21, 2012 08:20:08 UTC 2012 年 11 月 21 日 (水) 17 時 20 分 8 秒 (日本時間)
5043e6400 / 6410Youcef LemsaferNovember 21, 2012 08:20:08 UTC 2012 年 11 月 21 日 (水) 17 時 20 分 8 秒 (日本時間)

4×10203+3

c204

name 名前Jo Yeong Uk
date 日付February 19, 2013 22:16:08 UTC 2013 年 2 月 20 日 (水) 7 時 16 分 8 秒 (日本時間)
composite number 合成数
400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003<204>
prime factors 素因数
9896088083509053881090350733303341204003835574556922907569044035648109238086645674926237903<91>
40420012092107813948890213218430549985946501942513337640305126159736863950316376207107962721816976355668689410701<113>
factorization results 素因数分解の結果
Number: 40003_203
N=400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003
  ( 204 digits)
SNFS difficulty: 205 digits.
Divisors found:
 r1=9896088083509053881090350733303341204003835574556922907569044035648109238086645674926237903
 r2=40420012092107813948890213218430549985946501942513337640305126159736863950316376207107962721816976355668689410701
Version: 
Total time: 338.76 hours.
Scaled time: 1244.59 units (timescale=3.674).
Factorization parameters were as follows:
n: 400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003
m: 100000000000000000000000000000000000000000
deg: 5
c5: 1
c0: 75
skew: 2.37
# Murphy_E = 1.332e-11
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [10000000, 19500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 38831104
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3545964 x 3546211
Total sieving time: 299.39 hours.
Total relation processing time: 6.80 hours.
Matrix solve time: 32.32 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 338.76 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz stepping 02
Memory: 36991712k/38797312k available (5073k kernel code, 1057684k absent, 747916k reserved, 7245k data, 1252k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6666.73 BogoMIPS (lpj=3333367)
Total of 12 processors activated (80000.80 BogoMIPS).
x86info v1.25.  Dave Jones 2001-2009
Feedback to <davej@redhat.com>.

Found 12 CPUs
--------------------------------------------------------------------------
CPU #1
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x0 Package: 0  Core: 0   SMT ID 0
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #2
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x2 Package: 0  Core: 0   SMT ID 2
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #3
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x4 Package: 0  Core: 0   SMT ID 4
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #4
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x10        Package: 0  Core: 0   SMT ID 16
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #5
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x12        Package: 0  Core: 0   SMT ID 18
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #6
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x14        Package: 0  Core: 0   SMT ID 20
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #7
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x1 Package: 0  Core: 0   SMT ID 1
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #8
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x3 Package: 0  Core: 0   SMT ID 3
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #9
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x5 Package: 0  Core: 0   SMT ID 5
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #10
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x11        Package: 0  Core: 0   SMT ID 17
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #11
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x13        Package: 0  Core: 0   SMT ID 19
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #12
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x15        Package: 0  Core: 0   SMT ID 21
3.35GHz processor (estimate).

--------------------------------------------------------------------------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7 980

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 12, 2012 06:00:00 UTC 2012 年 11 月 12 日 (月) 15 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 14:53:55 UTC 2012 年 11 月 14 日 (水) 23 時 53 分 55 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:48:23 UTC 2012 年 11 月 16 日 (金) 23 時 48 分 23 秒 (日本時間)
4511e65100600Dmitry DomanovNovember 27, 2012 15:56:26 UTC 2012 年 11 月 28 日 (水) 0 時 56 分 26 秒 (日本時間)
4500Youcef LemsaferNovember 29, 2012 07:23:22 UTC 2012 年 11 月 29 日 (木) 16 時 23 分 22 秒 (日本時間)
5043e6840 / 6364440Dmitry DomanovNovember 28, 2012 07:10:10 UTC 2012 年 11 月 28 日 (水) 16 時 10 分 10 秒 (日本時間)
400Youcef LemsaferNovember 29, 2012 07:23:22 UTC 2012 年 11 月 29 日 (木) 16 時 23 分 22 秒 (日本時間)

4×10204+3

c197

name 名前Dmitry Domanov
date 日付November 18, 2012 16:27:44 UTC 2012 年 11 月 19 日 (月) 1 時 27 分 44 秒 (日本時間)
composite number 合成数
32062648619894952022133936472366561809247808900714698080025276909665980384376169510157354902667938602624967439378368727304504272295826796995027652311067296076765419330508330769857778988107138013679<197>
prime factors 素因数
1185445304240320581173227980358111768949628211<46>
composite cofactor 合成数の残り
27046923637225036925607576082718640325076170892478783217466311435980784433816843293370872332964682149571857324094177865675107335525401497727742252283989<152>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1653578623
Step 1 took 143647ms
Step 2 took 43868ms
********** Factor found in step 2: 1185445304240320581173227980358111768949628211
Found probable prime factor of 46 digits: 1185445304240320581173227980358111768949628211

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 12, 2012 06:00:00 UTC 2012 年 11 月 12 日 (月) 15 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 14:54:04 UTC 2012 年 11 月 14 日 (水) 23 時 54 分 4 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:48:33 UTC 2012 年 11 月 16 日 (金) 23 時 48 分 33 秒 (日本時間)
4511e6600 / 4208Dmitry DomanovNovember 27, 2012 15:56:17 UTC 2012 年 11 月 28 日 (水) 0 時 56 分 17 秒 (日本時間)

4×10205+3

c168

composite cofactor 合成数の残り
302537656150620145033462389948283306434073008912523303684940773900164327016875621125645026517331542798449771462297991035960648741249636736937120097405573072364433357133<168>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 12, 2012 06:00:00 UTC 2012 年 11 月 12 日 (月) 15 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 14:54:32 UTC 2012 年 11 月 14 日 (水) 23 時 54 分 32 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:48:42 UTC 2012 年 11 月 16 日 (金) 23 時 48 分 42 秒 (日本時間)
4511e65100600Dmitry DomanovNovember 27, 2012 15:56:08 UTC 2012 年 11 月 28 日 (水) 0 時 56 分 8 秒 (日本時間)
4500Youcef LemsaferDecember 4, 2012 09:20:09 UTC 2012 年 12 月 4 日 (火) 18 時 20 分 9 秒 (日本時間)
5043e6400 / 6364Youcef LemsaferDecember 4, 2012 09:20:09 UTC 2012 年 12 月 4 日 (火) 18 時 20 分 9 秒 (日本時間)

4×10206+3

c202

name 名前Youcef Lemsafer
date 日付January 7, 2014 06:10:41 UTC 2014 年 1 月 7 日 (火) 15 時 10 分 41 秒 (日本時間)
composite number 合成数
4586261852620475366041024112271690152149236960684270268410974924613320797550936170700666154534093124046917458752307462994599676668539390256486694107800084845844273478794271758946077026267814760883772659<202>
prime factors 素因数
866312595789617760669426916944551384531202932191<48>
5294003428912673529266570585609495497354764027914788498546054399779378241104358759547273015549120607126864090024554790755276735041006354519268387991018349<154>
factorization results 素因数分解の結果
<Sieving rational q from 8000000 to 18900000 (using gnfs-lasieve4I14e)>
<took 632.35 core.hours on Intel Xeon W3530 @ 2.8 GHz>

<Post-processing using msieve 1.51; 8 threads on Intel Xeon W3530 @ 2.8 GHz>

Mon Jan 06 14:43:18 2014  Msieve v. 1.51 (SVN Official Release)
Mon Jan 06 14:43:18 2014  random seeds: e3c5d5c8 86637cc9
Mon Jan 06 14:43:18 2014  factoring 4586261852620475366041024112271690152149236960684270268410974924613320797550936170700666154534093124046917458752307462994599676668539390256486694107800084845844273478794271758946077026267814760883772659 (202 digits)
Mon Jan 06 14:43:21 2014  searching for 15-digit factors
Mon Jan 06 14:43:22 2014  commencing number field sieve (202-digit input)
Mon Jan 06 14:43:22 2014  R0: -100000000000000000000000000000000000000000
Mon Jan 06 14:43:22 2014  R1: 1
Mon Jan 06 14:43:22 2014  A0: 3
Mon Jan 06 14:43:22 2014  A1: 0
Mon Jan 06 14:43:22 2014  A2: 0
Mon Jan 06 14:43:22 2014  A3: 0
Mon Jan 06 14:43:22 2014  A4: 0
Mon Jan 06 14:43:22 2014  A5: 40
Mon Jan 06 14:43:22 2014  skew 0.60, size 3.292e-014, alpha 0.443, combined = 9.580e-012 rroots = 1
Mon Jan 06 14:43:22 2014  
Mon Jan 06 14:43:22 2014  commencing relation filtering
Mon Jan 06 14:43:22 2014  estimated available RAM is 8189.6 MB
Mon Jan 06 14:43:22 2014  commencing duplicate removal, pass 1
Mon Jan 06 14:49:03 2014  skipped 3 relations with b > 2^32
Mon Jan 06 14:49:03 2014  found 4550519 hash collisions in 38882853 relations
Mon Jan 06 14:49:56 2014  added 730386 free relations
Mon Jan 06 14:49:56 2014  commencing duplicate removal, pass 2
Mon Jan 06 14:57:30 2014  found 3810739 duplicates and 35802500 unique relations
Mon Jan 06 14:57:30 2014  memory use: 197.2 MB
Mon Jan 06 14:57:31 2014  reading ideals above 18939904
Mon Jan 06 14:57:37 2014  commencing singleton removal, initial pass
Mon Jan 06 15:04:28 2014  memory use: 753.0 MB
Mon Jan 06 15:04:28 2014  reading all ideals from disk
Mon Jan 06 15:04:29 2014  memory use: 653.1 MB
Mon Jan 06 15:04:31 2014  commencing in-memory singleton removal
Mon Jan 06 15:04:33 2014  begin with 35802500 relations and 36562739 unique ideals
Mon Jan 06 15:04:52 2014  reduce to 14148225 relations and 11505182 ideals in 21 passes
Mon Jan 06 15:04:52 2014  max relations containing the same ideal: 20
Mon Jan 06 15:04:54 2014  reading ideals above 720000
Mon Jan 06 15:04:54 2014  commencing singleton removal, initial pass
Mon Jan 06 15:09:43 2014  memory use: 376.5 MB
Mon Jan 06 15:09:43 2014  reading all ideals from disk
Mon Jan 06 15:09:44 2014  memory use: 481.9 MB
Mon Jan 06 15:09:47 2014  commencing in-memory singleton removal
Mon Jan 06 15:09:48 2014  begin with 14148754 relations and 13805405 unique ideals
Mon Jan 06 15:10:02 2014  reduce to 14145623 relations and 13799939 ideals in 10 passes
Mon Jan 06 15:10:02 2014  max relations containing the same ideal: 189
Mon Jan 06 15:10:12 2014  removing 1249046 relations and 1143725 ideals in 105321 cliques
Mon Jan 06 15:10:13 2014  commencing in-memory singleton removal
Mon Jan 06 15:10:14 2014  begin with 12896577 relations and 13799939 unique ideals
Mon Jan 06 15:10:27 2014  reduce to 12795421 relations and 12553907 ideals in 10 passes
Mon Jan 06 15:10:27 2014  max relations containing the same ideal: 180
Mon Jan 06 15:10:34 2014  removing 916631 relations and 811310 ideals in 105321 cliques
Mon Jan 06 15:10:35 2014  commencing in-memory singleton removal
Mon Jan 06 15:10:37 2014  begin with 11878790 relations and 12553907 unique ideals
Mon Jan 06 15:10:47 2014  reduce to 11818738 relations and 11681945 ideals in 9 passes
Mon Jan 06 15:10:47 2014  max relations containing the same ideal: 167
Mon Jan 06 15:10:57 2014  relations with 0 large ideals: 2964
Mon Jan 06 15:10:57 2014  relations with 1 large ideals: 226
Mon Jan 06 15:10:57 2014  relations with 2 large ideals: 6250
Mon Jan 06 15:10:57 2014  relations with 3 large ideals: 67436
Mon Jan 06 15:10:57 2014  relations with 4 large ideals: 387105
Mon Jan 06 15:10:57 2014  relations with 5 large ideals: 1307628
Mon Jan 06 15:10:57 2014  relations with 6 large ideals: 2809246
Mon Jan 06 15:10:57 2014  relations with 7+ large ideals: 7237883
Mon Jan 06 15:10:57 2014  commencing 2-way merge
Mon Jan 06 15:11:06 2014  reduce to 6776427 relation sets and 6639641 unique ideals
Mon Jan 06 15:11:06 2014  ignored 7 oversize relation sets
Mon Jan 06 15:11:06 2014  commencing full merge
Mon Jan 06 15:13:08 2014  memory use: 791.2 MB
Mon Jan 06 15:13:09 2014  found 3517513 cycles, need 3501841
Mon Jan 06 15:13:09 2014  weight of 3501841 cycles is about 245348836 (70.06/cycle)
Mon Jan 06 15:13:09 2014  distribution of cycle lengths:
Mon Jan 06 15:13:09 2014  1 relations: 498915
Mon Jan 06 15:13:09 2014  2 relations: 463337
Mon Jan 06 15:13:09 2014  3 relations: 440499
Mon Jan 06 15:13:09 2014  4 relations: 383454
Mon Jan 06 15:13:09 2014  5 relations: 320682
Mon Jan 06 15:13:09 2014  6 relations: 272090
Mon Jan 06 15:13:09 2014  7 relations: 223589
Mon Jan 06 15:13:09 2014  8 relations: 181167
Mon Jan 06 15:13:09 2014  9 relations: 147230
Mon Jan 06 15:13:09 2014  10+ relations: 570878
Mon Jan 06 15:13:09 2014  heaviest cycle: 25 relations
Mon Jan 06 15:13:10 2014  commencing cycle optimization
Mon Jan 06 15:13:15 2014  start with 19345015 relations
Mon Jan 06 15:13:47 2014  pruned 331917 relations
Mon Jan 06 15:13:47 2014  memory use: 675.9 MB
Mon Jan 06 15:13:47 2014  distribution of cycle lengths:
Mon Jan 06 15:13:47 2014  1 relations: 498915
Mon Jan 06 15:13:47 2014  2 relations: 471998
Mon Jan 06 15:13:47 2014  3 relations: 452665
Mon Jan 06 15:13:47 2014  4 relations: 388975
Mon Jan 06 15:13:47 2014  5 relations: 324813
Mon Jan 06 15:13:47 2014  6 relations: 272037
Mon Jan 06 15:13:47 2014  7 relations: 222786
Mon Jan 06 15:13:47 2014  8 relations: 179062
Mon Jan 06 15:13:47 2014  9 relations: 144250
Mon Jan 06 15:13:47 2014  10+ relations: 546340
Mon Jan 06 15:13:47 2014  heaviest cycle: 25 relations
Mon Jan 06 15:13:50 2014  RelProcTime: 1828
Mon Jan 06 15:13:50 2014  elapsed time 00:30:32
<...snipped...>
Mon Jan 06 15:16:10 2014  commencing linear algebra
Mon Jan 06 15:16:12 2014  read 3501841 cycles
Mon Jan 06 15:16:18 2014  cycles contain 11622120 unique relations
Mon Jan 06 15:17:22 2014  read 11622120 relations
Mon Jan 06 15:17:39 2014  using 20 quadratic characters above 536870744
Mon Jan 06 15:18:39 2014  building initial matrix
Mon Jan 06 15:20:54 2014  memory use: 1471.8 MB
Mon Jan 06 15:20:57 2014  read 3501841 cycles
Mon Jan 06 15:20:58 2014  matrix is 3501662 x 3501841 (1058.1 MB) with weight 314870228 (89.92/col)
Mon Jan 06 15:20:58 2014  sparse part has weight 238846334 (68.21/col)
Mon Jan 06 15:21:32 2014  filtering completed in 2 passes
Mon Jan 06 15:21:33 2014  matrix is 3497035 x 3497214 (1057.7 MB) with weight 314733292 (90.00/col)
Mon Jan 06 15:21:33 2014  sparse part has weight 238810338 (68.29/col)
Mon Jan 06 15:21:41 2014  matrix starts at (0, 0)
Mon Jan 06 15:21:42 2014  matrix is 3497035 x 3497214 (1057.7 MB) with weight 314733292 (90.00/col)
Mon Jan 06 15:21:42 2014  sparse part has weight 238810338 (68.29/col)
Mon Jan 06 15:21:42 2014  saving the first 48 matrix rows for later
Mon Jan 06 15:21:43 2014  matrix includes 64 packed rows
Mon Jan 06 15:21:44 2014  matrix is 3496987 x 3497214 (1011.3 MB) with weight 250877308 (71.74/col)
Mon Jan 06 15:21:44 2014  sparse part has weight 230121158 (65.80/col)
Mon Jan 06 15:21:44 2014  using block size 65536 for processor cache size 8192 kB
Mon Jan 06 15:21:58 2014  commencing Lanczos iteration (8 threads)
Mon Jan 06 15:21:58 2014  memory use: 1001.5 MB
Mon Jan 06 15:22:23 2014  linear algebra at 0.0%, ETA 15h22m
Mon Jan 06 15:22:31 2014  checkpointing every 230000 dimensions
Tue Jan 07 06:48:48 2014  lanczos halted after 55303 iterations (dim = 3496987)
Tue Jan 07 06:48:53 2014  recovered 37 nontrivial dependencies
Tue Jan 07 06:48:53 2014  BLanczosTime: 55963
Tue Jan 07 06:48:53 2014  
Tue Jan 07 06:48:53 2014  commencing square root phase
Tue Jan 07 06:48:53 2014  reading relations for dependency 1
Tue Jan 07 06:48:54 2014  read 1748334 cycles
Tue Jan 07 06:48:57 2014  cycles contain 5811504 unique relations
Tue Jan 07 06:49:34 2014  read 5811504 relations
Tue Jan 07 06:50:06 2014  multiplying 5811504 relations
Tue Jan 07 06:53:59 2014  multiply complete, coefficients have about 167.12 million bits
Tue Jan 07 06:54:00 2014  initial square root is modulo 994391
Tue Jan 07 06:58:54 2014  sqrtTime: 601
Tue Jan 07 06:58:54 2014  prp48 factor: 866312595789617760669426916944551384531202932191
Tue Jan 07 06:58:54 2014  prp154 factor: 5294003428912673529266570585609495497354764027914788498546054399779378241104358759547273015549120607126864090024554790755276735041006354519268387991018349
Tue Jan 07 06:58:54 2014  elapsed time 15:42:46
software ソフトウェア
GGNFS (SVN 440), msieve 1.51
execution environment 実行環境
Windows 7 Pro 64-bit, Intel Xeon W3530 @ 2.8 GHz, 8GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 12, 2012 06:00:00 UTC 2012 年 11 月 12 日 (月) 15 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 14:54:40 UTC 2012 年 11 月 14 日 (水) 23 時 54 分 40 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:48:50 UTC 2012 年 11 月 16 日 (金) 23 時 48 分 50 秒 (日本時間)
4511e65100600Dmitry DomanovNovember 27, 2012 15:55:59 UTC 2012 年 11 月 28 日 (水) 0 時 55 分 59 秒 (日本時間)
4500Youcef LemsaferDecember 10, 2012 09:40:50 UTC 2012 年 12 月 10 日 (月) 18 時 40 分 50 秒 (日本時間)
5043e6400 / 6364Youcef LemsaferDecember 10, 2012 09:40:50 UTC 2012 年 12 月 10 日 (月) 18 時 40 分 50 秒 (日本時間)

4×10208+3

c196

name 名前Youcef Lemsafer
date 日付March 11, 2014 23:02:53 UTC 2014 年 3 月 12 日 (水) 8 時 2 分 53 秒 (日本時間)
composite number 合成数
3252772530177220941383556594890994549240800612560136024457364831255962045832802195737004091494652143524485974536544704496473908955410433433724905108891098199132338539565998289824680438124142259833<196>
prime factors 素因数
4854732424700303185200088823854916154542218011789913375796818755559<67>
670020970389119662358800621319621735065052739737946123244511313431686131877002715722478883422393858963285149176604600699366281887<129>
factorization results 素因数分解の結果
<Sieving took ~3.2 days on Intel Xeon W3530 @ 2.8GHz + 2x Intel Xeon E5-2620 @ 2.0GHz>

<Post-processing using 16 threads on 2x Intel Xeon E5-2620 @ 2.0GHz>

Tue Mar 11 20:32:14 2014  
Tue Mar 11 20:32:14 2014  
Tue Mar 11 20:32:14 2014  Msieve v. 1.52 (SVN 959)
Tue Mar 11 20:32:14 2014  random seeds: b816ac00 85ae752e
Tue Mar 11 20:32:14 2014  factoring 3252772530177220941383556594890994549240800612560136024457364831255962045832802195737004091494652143524485974536544704496473908955410433433724905108891098199132338539565998289824680438124142259833 (196 digits)
Tue Mar 11 20:32:15 2014  no P-1/P+1/ECM available, skipping
Tue Mar 11 20:32:15 2014  commencing number field sieve (196-digit input)
Tue Mar 11 20:32:15 2014  R0: -200000000000000000000000000000000000000000
Tue Mar 11 20:32:15 2014  R1: 1
Tue Mar 11 20:32:15 2014  A0: 3
Tue Mar 11 20:32:15 2014  A1: 0
Tue Mar 11 20:32:15 2014  A2: 0
Tue Mar 11 20:32:15 2014  A3: 0
Tue Mar 11 20:32:15 2014  A4: 0
Tue Mar 11 20:32:15 2014  A5: 125
Tue Mar 11 20:32:15 2014  skew 0.47, size 2.080e-014, alpha 0.443, combined = 7.260e-012 rroots = 1
Tue Mar 11 20:32:15 2014  
Tue Mar 11 20:32:15 2014  commencing relation filtering
Tue Mar 11 20:32:15 2014  estimated available RAM is 32739.1 MB
Tue Mar 11 20:32:15 2014  commencing duplicate removal, pass 1
Tue Mar 11 20:43:18 2014  skipped 12 relations with b > 2^32
Tue Mar 11 20:43:18 2014  found 8831147 hash collisions in 58820242 relations
Tue Mar 11 20:44:01 2014  added 731969 free relations
Tue Mar 11 20:44:01 2014  commencing duplicate removal, pass 2
Tue Mar 11 20:44:37 2014  found 7495555 duplicates and 52056656 unique relations
Tue Mar 11 20:44:37 2014  memory use: 330.4 MB
Tue Mar 11 20:44:37 2014  reading ideals above 720000
Tue Mar 11 20:44:37 2014  commencing singleton removal, initial pass
Tue Mar 11 20:57:18 2014  memory use: 1378.0 MB
Tue Mar 11 20:57:18 2014  reading all ideals from disk
Tue Mar 11 20:57:19 2014  memory use: 1818.7 MB
Tue Mar 11 20:57:25 2014  keeping 45959985 ideals with weight <= 200, target excess is 282007
Tue Mar 11 20:57:31 2014  commencing in-memory singleton removal
Tue Mar 11 20:57:36 2014  begin with 52056656 relations and 45959985 unique ideals
Tue Mar 11 20:58:25 2014  reduce to 34457948 relations and 26691130 ideals in 14 passes
Tue Mar 11 20:58:25 2014  max relations containing the same ideal: 160
Tue Mar 11 20:58:43 2014  removing 4265879 relations and 3265879 ideals in 1000000 cliques
Tue Mar 11 20:58:44 2014  commencing in-memory singleton removal
Tue Mar 11 20:58:47 2014  begin with 30192069 relations and 26691130 unique ideals
Tue Mar 11 20:59:09 2014  reduce to 29749008 relations and 22966044 ideals in 8 passes
Tue Mar 11 20:59:09 2014  max relations containing the same ideal: 150
Tue Mar 11 20:59:24 2014  removing 3380855 relations and 2380855 ideals in 1000000 cliques
Tue Mar 11 20:59:25 2014  commencing in-memory singleton removal
Tue Mar 11 20:59:28 2014  begin with 26368153 relations and 22966044 unique ideals
Tue Mar 11 20:59:44 2014  reduce to 26070877 relations and 20278119 ideals in 7 passes
Tue Mar 11 20:59:44 2014  max relations containing the same ideal: 135
Tue Mar 11 20:59:58 2014  removing 3133394 relations and 2133394 ideals in 1000000 cliques
Tue Mar 11 20:59:59 2014  commencing in-memory singleton removal
Tue Mar 11 21:00:01 2014  begin with 22937483 relations and 20278119 unique ideals
Tue Mar 11 21:00:14 2014  reduce to 22666408 relations and 17863902 ideals in 7 passes
Tue Mar 11 21:00:14 2014  max relations containing the same ideal: 121
Tue Mar 11 21:00:26 2014  removing 3019093 relations and 2019093 ideals in 1000000 cliques
Tue Mar 11 21:00:27 2014  commencing in-memory singleton removal
Tue Mar 11 21:00:29 2014  begin with 19647315 relations and 17863902 unique ideals
Tue Mar 11 21:00:42 2014  reduce to 19374891 relations and 15561843 ideals in 8 passes
Tue Mar 11 21:00:42 2014  max relations containing the same ideal: 107
Tue Mar 11 21:00:52 2014  removing 2953744 relations and 1953744 ideals in 1000000 cliques
Tue Mar 11 21:00:53 2014  commencing in-memory singleton removal
Tue Mar 11 21:00:54 2014  begin with 16421147 relations and 15561843 unique ideals
Tue Mar 11 21:01:04 2014  reduce to 16128932 relations and 13302829 ideals in 7 passes
Tue Mar 11 21:01:04 2014  max relations containing the same ideal: 96
Tue Mar 11 21:01:12 2014  removing 2919181 relations and 1919181 ideals in 1000000 cliques
Tue Mar 11 21:01:13 2014  commencing in-memory singleton removal
Tue Mar 11 21:01:14 2014  begin with 13209751 relations and 13302829 unique ideals
Tue Mar 11 21:01:21 2014  reduce to 12880420 relations and 11036723 ideals in 7 passes
Tue Mar 11 21:01:21 2014  max relations containing the same ideal: 86
Tue Mar 11 21:01:28 2014  removing 2901926 relations and 1901926 ideals in 1000000 cliques
Tue Mar 11 21:01:29 2014  commencing in-memory singleton removal
Tue Mar 11 21:01:29 2014  begin with 9978494 relations and 11036723 unique ideals
Tue Mar 11 21:01:35 2014  reduce to 9581952 relations and 8712170 ideals in 7 passes
Tue Mar 11 21:01:35 2014  max relations containing the same ideal: 71
Tue Mar 11 21:01:40 2014  removing 1761523 relations and 1218870 ideals in 542653 cliques
Tue Mar 11 21:01:40 2014  commencing in-memory singleton removal
Tue Mar 11 21:01:41 2014  begin with 7820429 relations and 8712170 unique ideals
Tue Mar 11 21:01:46 2014  reduce to 7605931 relations and 7267925 ideals in 9 passes
Tue Mar 11 21:01:46 2014  max relations containing the same ideal: 59
Tue Mar 11 21:01:50 2014  removing 68652 relations and 57775 ideals in 10877 cliques
Tue Mar 11 21:01:50 2014  commencing in-memory singleton removal
Tue Mar 11 21:01:50 2014  begin with 7537279 relations and 7267925 unique ideals
Tue Mar 11 21:01:52 2014  reduce to 7536925 relations and 7209796 ideals in 4 passes
Tue Mar 11 21:01:52 2014  max relations containing the same ideal: 59
Tue Mar 11 21:01:54 2014  relations with 0 large ideals: 5832
Tue Mar 11 21:01:54 2014  relations with 1 large ideals: 4515
Tue Mar 11 21:01:54 2014  relations with 2 large ideals: 63223
Tue Mar 11 21:01:54 2014  relations with 3 large ideals: 368471
Tue Mar 11 21:01:54 2014  relations with 4 large ideals: 1113756
Tue Mar 11 21:01:54 2014  relations with 5 large ideals: 1928744
Tue Mar 11 21:01:54 2014  relations with 6 large ideals: 2089337
Tue Mar 11 21:01:54 2014  relations with 7+ large ideals: 1963047
Tue Mar 11 21:01:54 2014  commencing 2-way merge
Tue Mar 11 21:01:59 2014  reduce to 4876004 relation sets and 4548875 unique ideals
Tue Mar 11 21:01:59 2014  commencing full merge
Tue Mar 11 21:03:28 2014  memory use: 567.4 MB
Tue Mar 11 21:03:28 2014  found 2641937 cycles, need 2597075
Tue Mar 11 21:03:29 2014  weight of 2597075 cycles is about 182014529 (70.08/cycle)
Tue Mar 11 21:03:29 2014  distribution of cycle lengths:
Tue Mar 11 21:03:29 2014  1 relations: 252559
Tue Mar 11 21:03:29 2014  2 relations: 291616
Tue Mar 11 21:03:29 2014  3 relations: 316077
Tue Mar 11 21:03:29 2014  4 relations: 314339
Tue Mar 11 21:03:29 2014  5 relations: 304174
Tue Mar 11 21:03:29 2014  6 relations: 270282
Tue Mar 11 21:03:29 2014  7 relations: 229277
Tue Mar 11 21:03:29 2014  8 relations: 183052
Tue Mar 11 21:03:29 2014  9 relations: 140533
Tue Mar 11 21:03:29 2014  10+ relations: 295166
Tue Mar 11 21:03:29 2014  heaviest cycle: 18 relations
Tue Mar 11 21:03:29 2014  commencing cycle optimization
Tue Mar 11 21:03:33 2014  start with 13885235 relations
Tue Mar 11 21:03:55 2014  pruned 404773 relations
Tue Mar 11 21:03:55 2014  memory use: 453.0 MB
Tue Mar 11 21:03:55 2014  distribution of cycle lengths:
Tue Mar 11 21:03:55 2014  1 relations: 252559
Tue Mar 11 21:03:55 2014  2 relations: 298260
Tue Mar 11 21:03:55 2014  3 relations: 328605
Tue Mar 11 21:03:55 2014  4 relations: 325214
Tue Mar 11 21:03:55 2014  5 relations: 315743
Tue Mar 11 21:03:55 2014  6 relations: 277376
Tue Mar 11 21:03:55 2014  7 relations: 233486
Tue Mar 11 21:03:55 2014  8 relations: 181476
Tue Mar 11 21:03:55 2014  9 relations: 135654
Tue Mar 11 21:03:55 2014  10+ relations: 248702
Tue Mar 11 21:03:55 2014  heaviest cycle: 17 relations
Tue Mar 11 21:03:57 2014  RelProcTime: 1902
Tue Mar 11 21:03:57 2014  
Tue Mar 11 21:03:57 2014  commencing linear algebra
Tue Mar 11 21:03:57 2014  read 2597075 cycles
Tue Mar 11 21:04:02 2014  cycles contain 7364386 unique relations
Tue Mar 11 21:05:35 2014  read 7364386 relations
Tue Mar 11 21:05:46 2014  using 20 quadratic characters above 536868468
Tue Mar 11 21:06:25 2014  building initial matrix
Tue Mar 11 21:07:57 2014  memory use: 980.9 MB
Tue Mar 11 21:07:59 2014  read 2597075 cycles
Tue Mar 11 21:08:00 2014  matrix is 2596897 x 2597075 (776.7 MB) with weight 229865400 (88.51/col)
Tue Mar 11 21:08:00 2014  sparse part has weight 175052376 (67.40/col)
Tue Mar 11 21:08:27 2014  filtering completed in 2 passes
Tue Mar 11 21:08:27 2014  matrix is 2596364 x 2596541 (776.7 MB) with weight 229849052 (88.52/col)
Tue Mar 11 21:08:27 2014  sparse part has weight 175047005 (67.42/col)
Tue Mar 11 21:08:37 2014  matrix starts at (0, 0)
Tue Mar 11 21:08:38 2014  matrix is 2596364 x 2596541 (776.7 MB) with weight 229849052 (88.52/col)
Tue Mar 11 21:08:38 2014  sparse part has weight 175047005 (67.42/col)
Tue Mar 11 21:08:38 2014  saving the first 48 matrix rows for later
Tue Mar 11 21:08:39 2014  matrix includes 64 packed rows
Tue Mar 11 21:08:39 2014  matrix is 2596316 x 2596541 (739.3 MB) with weight 182267015 (70.20/col)
Tue Mar 11 21:08:39 2014  sparse part has weight 167846808 (64.64/col)
Tue Mar 11 21:08:39 2014  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Tue Mar 11 21:08:51 2014  commencing Lanczos iteration (16 threads)
Tue Mar 11 21:08:51 2014  memory use: 598.5 MB
Tue Mar 11 21:08:56 2014  linear algebra at 0.1%, ETA 2h23m
Tue Mar 11 21:08:58 2014  checkpointing every 1040000 dimensions
Tue Mar 11 23:23:55 2014  lanczos halted after 41061 iterations (dim = 2596316)
Tue Mar 11 23:23:59 2014  recovered 37 nontrivial dependencies
Tue Mar 11 23:24:06 2014  BLanczosTime: 8409
Tue Mar 11 23:24:06 2014  
Tue Mar 11 23:24:06 2014  commencing square root phase
Tue Mar 11 23:24:06 2014  reading relations for dependency 1
Tue Mar 11 23:24:07 2014  read 1297988 cycles
Tue Mar 11 23:24:08 2014  cycles contain 3680792 unique relations
Tue Mar 11 23:25:01 2014  read 3680792 relations
Tue Mar 11 23:25:20 2014  multiplying 3680792 relations
Tue Mar 11 23:28:19 2014  multiply complete, coefficients have about 111.91 million bits
Tue Mar 11 23:28:20 2014  initial square root is modulo 107869001
Tue Mar 11 23:32:14 2014  GCD is 1, no factor found
Tue Mar 11 23:32:14 2014  reading relations for dependency 2
Tue Mar 11 23:32:15 2014  read 1298236 cycles
Tue Mar 11 23:32:17 2014  cycles contain 3683066 unique relations
Tue Mar 11 23:33:09 2014  read 3683066 relations
Tue Mar 11 23:33:29 2014  multiplying 3683066 relations
Tue Mar 11 23:36:28 2014  multiply complete, coefficients have about 111.98 million bits
Tue Mar 11 23:36:29 2014  initial square root is modulo 109121531
Tue Mar 11 23:40:24 2014  sqrtTime: 978
Tue Mar 11 23:40:24 2014  prp67 factor: 4854732424700303185200088823854916154542218011789913375796818755559
Tue Mar 11 23:40:24 2014  prp129 factor: 670020970389119662358800621319621735065052739737946123244511313431686131877002715722478883422393858963285149176604600699366281887
Tue Mar 11 23:40:24 2014  elapsed time 03:08:10

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 12, 2012 06:00:00 UTC 2012 年 11 月 12 日 (月) 15 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 14:54:49 UTC 2012 年 11 月 14 日 (水) 23 時 54 分 49 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:48:59 UTC 2012 年 11 月 16 日 (金) 23 時 48 分 59 秒 (日本時間)
4511e64400600Dmitry DomanovNovember 27, 2012 15:55:51 UTC 2012 年 11 月 28 日 (水) 0 時 55 分 51 秒 (日本時間)
3800Youcef LemsaferDecember 17, 2012 13:27:26 UTC 2012 年 12 月 17 日 (月) 22 時 27 分 26 秒 (日本時間)
5043e6800 / 6521Youcef LemsaferDecember 17, 2012 13:27:26 UTC 2012 年 12 月 17 日 (月) 22 時 27 分 26 秒 (日本時間)

4×10211+3

c111

name 名前Warut Roonguthai
date 日付November 13, 2012 10:07:52 UTC 2012 年 11 月 13 日 (火) 19 時 7 分 52 秒 (日本時間)
composite number 合成数
783589086631574303379302916657882695404910589258134640223186961214895920365213597596457309420328166215139152731<111>
prime factors 素因数
547537132141098581614384437938530709<36>
1431115883533622852243182912912449320404780896252482479061754714077393530159<76>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1281610126
Step 1 took 11279ms
Step 2 took 8315ms
********** Factor found in step 2: 547537132141098581614384437938530709
Found probable prime factor of 36 digits: 547537132141098581614384437938530709
Probable prime cofactor 1431115883533622852243182912912449320404780896252482479061754714077393530159 has 76 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 KamadaNovember 12, 2012 06:00:00 UTC 2012 年 11 月 12 日 (月) 15 時 0 分 0 秒 (日本時間)

4×10212+3

c189

name 名前Warut Roonguthai
date 日付November 12, 2012 20:54:06 UTC 2012 年 11 月 13 日 (火) 5 時 54 分 6 秒 (日本時間)
composite number 合成数
542064935188499763211581901395205130505956251750848671559876962484574267948455759472371958977401866973092236468976337087055287282348598176084683341052518013482939853423525013072614851297403<189>
prime factors 素因数
6885162880115627766614886699397<31>
composite cofactor 合成数の残り
78729427992761800180667811906040635731138680336615941223032691152879109390428140559524833346300843430211335246184011142589273124837034213824575355970956454399<158>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4189573765
Step 1 took 10593ms
Step 2 took 6193ms
********** Factor found in step 2: 6885162880115627766614886699397
Found probable prime factor of 31 digits: 6885162880115627766614886699397
Composite cofactor 78729427992761800180667811906040635731138680336615941223032691152879109390428140559524833346300843430211335246184011142589273124837034213824575355970956454399 has 158 digits
software ソフトウェア
GMP-ECM 6.3

c158

name 名前Warut Roonguthai
date 日付November 13, 2012 19:10:35 UTC 2012 年 11 月 14 日 (水) 4 時 10 分 35 秒 (日本時間)
composite number 合成数
78729427992761800180667811906040635731138680336615941223032691152879109390428140559524833346300843430211335246184011142589273124837034213824575355970956454399<158>
prime factors 素因数
13172134203721447991809798666141279729<38>
5976968255494908613149824165626636098792982465473980149747406702545319769592165236194992254738446246620064123122728853231<121>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=359660146
Step 1 took 7519ms
Step 2 took 5616ms
********** Factor found in step 2: 13172134203721447991809798666141279729
Found probable prime factor of 38 digits: 13172134203721447991809798666141279729
Probable prime cofactor 5976968255494908613149824165626636098792982465473980149747406702545319769592165236194992254738446246620064123122728853231 has 121 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 KamadaNovember 12, 2012 06:00:00 UTC 2012 年 11 月 12 日 (月) 15 時 0 分 0 秒 (日本時間)

4×10214+3

c194

composite cofactor 合成数の残り
27078914535957693288348889552849449689471465878225564090845800692438321012989500399963729663489732245260045975799517342331589656605765755174678930379016352213378969231094623187652113029387833019<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 12, 2012 06:00:00 UTC 2012 年 11 月 12 日 (月) 15 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 14:55:08 UTC 2012 年 11 月 14 日 (水) 23 時 55 分 8 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:49:09 UTC 2012 年 11 月 16 日 (金) 23 時 49 分 9 秒 (日本時間)
4511e64808600Dmitry DomanovNovember 27, 2012 15:55:40 UTC 2012 年 11 月 28 日 (水) 0 時 55 分 40 秒 (日本時間)
4208Youcef LemsaferDecember 24, 2012 16:08:26 UTC 2012 年 12 月 25 日 (火) 1 時 8 分 26 秒 (日本時間)
5043e61000 / 6430Youcef LemsaferDecember 24, 2012 16:08:26 UTC 2012 年 12 月 25 日 (火) 1 時 8 分 26 秒 (日本時間)

4×10215+3

c172

name 名前Warut Roonguthai
date 日付November 13, 2012 04:53:29 UTC 2012 年 11 月 13 日 (火) 13 時 53 分 29 秒 (日本時間)
composite number 合成数
1936213216291355876871653597517735244192957470872290557564896374704699527335611202268498450836907101113622809696074161570803841385210845063758151692053612117438728598980231<172>
prime factors 素因数
79559650917036464525130975647656407670223<41>
24336622822923244695728408198999044559436821571037487563080120158375447090272196962709447592778289276135511000668845129957953188297<131>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1541059630
Step 1 took 7924ms
Step 2 took 5523ms
********** Factor found in step 2: 79559650917036464525130975647656407670223
Found probable prime factor of 41 digits: 79559650917036464525130975647656407670223
Probable prime cofactor 24336622822923244695728408198999044559436821571037487563080120158375447090272196962709447592778289276135511000668845129957953188297 has 131 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 KamadaNovember 12, 2012 06:00:00 UTC 2012 年 11 月 12 日 (月) 15 時 0 分 0 秒 (日本時間)

4×10216+3

c192

composite cofactor 合成数の残り
729697195390724512987370355096402664404101470410197133129990900401820080887399731219745633721959198801672102659002625287484588604935334764020447827546569456421662291884740664756921220778241797<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 12, 2012 06:00:00 UTC 2012 年 11 月 12 日 (月) 15 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 14:55:17 UTC 2012 年 11 月 14 日 (水) 23 時 55 分 17 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:49:17 UTC 2012 年 11 月 16 日 (金) 23 時 49 分 17 秒 (日本時間)
4511e6600 / 4208Dmitry DomanovNovember 27, 2012 15:55:30 UTC 2012 年 11 月 28 日 (水) 0 時 55 分 30 秒 (日本時間)

4×10219+3

c183

composite cofactor 合成数の残り
726776310698164533654015319622307234195032645329537091172950440930029047255459749538850654453019997909136480915859750105787582721597320839712793449932515869562345256274997699341571757<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 12, 2012 06:00:00 UTC 2012 年 11 月 12 日 (月) 15 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 14:55:42 UTC 2012 年 11 月 14 日 (水) 23 時 55 分 42 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:49:26 UTC 2012 年 11 月 16 日 (金) 23 時 49 分 26 秒 (日本時間)
4511e6600 / 4208Dmitry DomanovNovember 27, 2012 15:55:20 UTC 2012 年 11 月 28 日 (水) 0 時 55 分 20 秒 (日本時間)

4×10220+3

c206

composite cofactor 合成数の残り
50456044105776872268620790750917146599661989289005346566724573410061575089462916040238170526613044298553468881209667519459713028315974240062532171893134828772820328909665545453401312153936283891489454195263<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 12, 2012 06:00:00 UTC 2012 年 11 月 12 日 (月) 15 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 14:55:49 UTC 2012 年 11 月 14 日 (水) 23 時 55 分 49 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:49:35 UTC 2012 年 11 月 16 日 (金) 23 時 49 分 35 秒 (日本時間)
4511e6600 / 4208Dmitry DomanovNovember 27, 2012 15:55:09 UTC 2012 年 11 月 28 日 (水) 0 時 55 分 9 秒 (日本時間)

4×10221+3

c199

composite cofactor 合成数の残り
2527254124006785496935897300421828041775488180446373620104067652768999602371856288415110302830606284916348732501653286167614439840018527358798216709765998485587368666947854307273136043735528887219273<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 12, 2012 06:00:00 UTC 2012 年 11 月 12 日 (月) 15 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 14:55:56 UTC 2012 年 11 月 14 日 (水) 23 時 55 分 56 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:49:43 UTC 2012 年 11 月 16 日 (金) 23 時 49 分 43 秒 (日本時間)
4511e6600 / 4208Dmitry DomanovNovember 27, 2012 15:55:01 UTC 2012 年 11 月 28 日 (水) 0 時 55 分 1 秒 (日本時間)

4×10223+3

c192

composite cofactor 合成数の残り
103188635587358061084206600902265939372824315276457080413201084880605241845779194121787497224997655745203172530226045869895228318051777636820734441028807910850535969769877573831911484288741127<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 12, 2012 06:00:00 UTC 2012 年 11 月 12 日 (月) 15 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 14:56:13 UTC 2012 年 11 月 14 日 (水) 23 時 56 分 13 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:49:51 UTC 2012 年 11 月 16 日 (金) 23 時 49 分 51 秒 (日本時間)
4511e6600 / 4208Dmitry DomanovNovember 27, 2012 15:54:52 UTC 2012 年 11 月 28 日 (水) 0 時 54 分 52 秒 (日本時間)

4×10224+3

c205

name 名前Dmitry Domanov
date 日付November 15, 2012 11:17:29 UTC 2012 年 11 月 15 日 (木) 20 時 17 分 29 秒 (日本時間)
composite number 合成数
1943027131409346042315436854680011969918242391124599199704390271942609442294360232128543688407004547400167659177464123737900461048084209352567564610569103360558232303979323477873579948016356615297102651163<205>
prime factors 素因数
38964228161899290209200976212201111<35>
composite cofactor 合成数の残り
49866947789544876656836053379654506842017782006392645051965526525548592563589069077149471328034354361262368322683502565467767362957442889554457127724956079670980894869533<170>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3048405199
Step 1 took 39036ms
Step 2 took 13522ms
********** Factor found in step 2: 38964228161899290209200976212201111
Found probable prime factor of 35 digits: 38964228161899290209200976212201111

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 12, 2012 06:00:00 UTC 2012 年 11 月 12 日 (月) 15 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 14:56:20 UTC 2012 年 11 月 14 日 (水) 23 時 56 分 20 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:50:01 UTC 2012 年 11 月 16 日 (金) 23 時 50 分 1 秒 (日本時間)
4511e6600 / 4208Dmitry DomanovNovember 27, 2012 15:54:43 UTC 2012 年 11 月 28 日 (水) 0 時 54 分 43 秒 (日本時間)

4×10225+3

c192

composite cofactor 合成数の残り
306738292776977543989929206125053013156366088740669613411988820123603807662439935719519125926528398753527975885341701673308490724281254943488570488216422113698798754984165720805823585233259349<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 12, 2012 06:00:00 UTC 2012 年 11 月 12 日 (月) 15 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 14:56:30 UTC 2012 年 11 月 14 日 (水) 23 時 56 分 30 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:50:09 UTC 2012 年 11 月 16 日 (金) 23 時 50 分 9 秒 (日本時間)
4511e6600 / 4208Dmitry DomanovNovember 27, 2012 15:54:33 UTC 2012 年 11 月 28 日 (水) 0 時 54 分 33 秒 (日本時間)

4×10226+3

c220

composite cofactor 合成数の残り
4574098276559816112101085742272661312150989154469928905934011999918123640849579291593390565213319362512497294134988272583781185201465586828792530680478308882681583411026298434983709920750316784893765995764613700819438271<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 12, 2012 06:00:00 UTC 2012 年 11 月 12 日 (月) 15 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 14:56:37 UTC 2012 年 11 月 14 日 (水) 23 時 56 分 37 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:50:17 UTC 2012 年 11 月 16 日 (金) 23 時 50 分 17 秒 (日本時間)
4511e6600 / 2454Dmitry DomanovNovember 27, 2012 15:54:24 UTC 2012 年 11 月 28 日 (水) 0 時 54 分 24 秒 (日本時間)
5043e6500 / 7374Dmitry DomanovFebruary 19, 2013 11:28:46 UTC 2013 年 2 月 19 日 (火) 20 時 28 分 46 秒 (日本時間)

4×10228+3

c154

name 名前Serge Batalov
date 日付November 8, 2013 04:11:58 UTC 2013 年 11 月 8 日 (金) 13 時 11 分 58 秒 (日本時間)
composite number 合成数
6865905338243759190353952029167195759388724355835671841072006570160779407764277429269865375922900531965527947492221331091276450957926628461920196704610953<154>
prime factors 素因数
37635681547262713872561260075603056075831<41>
182430742741342074398495203790393781209274230241582506726513847300833155308269026632975854256330834779184929785663<114>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2937954692
Step 1 took 34402ms
Step 2 took 13131ms
********** Factor found in step 2: 37635681547262713872561260075603056075831
Found probable prime factor of 41 digits: 37635681547262713872561260075603056075831
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 12, 2012 06:00:00 UTC 2012 年 11 月 12 日 (月) 15 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 14:56:55 UTC 2012 年 11 月 14 日 (水) 23 時 56 分 55 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:50:27 UTC 2012 年 11 月 16 日 (金) 23 時 50 分 27 秒 (日本時間)
4511e6600 / 4208Dmitry DomanovNovember 27, 2012 15:54:13 UTC 2012 年 11 月 28 日 (水) 0 時 54 分 13 秒 (日本時間)

4×10229+3

c216

composite cofactor 合成数の残り
321295297336705630000884462398868098844659352117530566796418167956713602823933564992198969908959120108478883178513574448750251727426643815838903278227999414547301238217141748483697527389885287286754920666784780639319<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 12, 2012 06:00:00 UTC 2012 年 11 月 12 日 (月) 15 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 14:57:05 UTC 2012 年 11 月 14 日 (水) 23 時 57 分 5 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:50:36 UTC 2012 年 11 月 16 日 (金) 23 時 50 分 36 秒 (日本時間)
4511e61000 / 4208Dmitry DomanovNovember 27, 2012 15:44:20 UTC 2012 年 11 月 28 日 (水) 0 時 44 分 20 秒 (日本時間)

4×10230+3

c224

composite cofactor 合成数の残り
24238791361755295706285960898102969173165743098019308984780644694889062990740842296787881428438028651826911033273619050914369016086255678164115160194475094732771264040244150073749552567060706598338321777590546580503419093611<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 12, 2012 06:00:00 UTC 2012 年 11 月 12 日 (月) 15 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 14:57:13 UTC 2012 年 11 月 14 日 (水) 23 時 57 分 13 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:50:46 UTC 2012 年 11 月 16 日 (金) 23 時 50 分 46 秒 (日本時間)
4511e61000 / 2454Dmitry DomanovNovember 27, 2012 15:44:07 UTC 2012 年 11 月 28 日 (水) 0 時 44 分 7 秒 (日本時間)
5043e6500 / 7285Dmitry DomanovFebruary 19, 2013 11:28:20 UTC 2013 年 2 月 19 日 (火) 20 時 28 分 20 秒 (日本時間)

4×10231+3

c232

name 名前matsui
date 日付July 18, 2014 18:04:56 UTC 2014 年 7 月 19 日 (土) 3 時 4 分 56 秒 (日本時間)
composite number 合成数
4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003<232>
prime factors 素因数
56338254721451307043371061741100902240009948361674152187800504974183<68>
70999714488439119583106494321955650859298420103679844265377294091692079810671374033164800530385005016837314507585797819716507939054639835730410533537638889678049541<164>
factorization results 素因数分解の結果
N=4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003
  ( 232 digits)
SNFS difficulty: 231 digits.
Divisors found:
 r1=56338254721451307043371061741100902240009948361674152187800504974183 (pp68)
 r2=70999714488439119583106494321955650859298420103679844265377294091692079810671374033164800530385005016837314507585797819716507939054639835730410533537638889678049541 (pp164)
Version: Msieve v. 1.53 (SVN Unversioned directory)
Total time:
Scaled time: 158.90 units (timescale=1.901).
Factorization parameters were as follows:
n: 4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003
m: 200000000000000000000000000000000000000
deg: 6
c6: 125
c0: 6
skew: 0.60
# Murphy_E = 8.757e-13
type: snfs
lss: 1
rlim: 51000000
alim: 51000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
qintsize: 80000
Factor base limits: 51000000/51000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved rational special-q in [25500000, 60140001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 7177964 x 7178189
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,231.000,6,0,0,0,0,0,0,0,0,51000000,51000000,30,30,59,59,2.7,2.7,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 12, 2012 06:00:00 UTC 2012 年 11 月 12 日 (月) 15 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 14:57:25 UTC 2012 年 11 月 14 日 (水) 23 時 57 分 25 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:50:54 UTC 2012 年 11 月 16 日 (金) 23 時 50 分 54 秒 (日本時間)
4511e61000Dmitry DomanovNovember 27, 2012 15:43:48 UTC 2012 年 11 月 28 日 (水) 0 時 43 分 48 秒 (日本時間)
5043e61100600Dmitry DomanovNovember 28, 2012 07:09:25 UTC 2012 年 11 月 28 日 (水) 16 時 9 分 25 秒 (日本時間)
500Dmitry DomanovFebruary 19, 2013 11:28:01 UTC 2013 年 2 月 19 日 (火) 20 時 28 分 1 秒 (日本時間)
5511e70--
6026e77455 / 41871yoyo@homeMay 14, 2013 00:41:49 UTC 2013 年 5 月 14 日 (火) 9 時 41 分 49 秒 (日本時間)

4×10233+3

c223

composite cofactor 合成数の残り
1751048996147230189820837645340497477686088345479874471319100434519035321110723359789345241328151650862778831968427298317697994237335042267838400566515543922080326828870580277050108815707210241607841081772475787211524895967<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 12, 2012 06:00:00 UTC 2012 年 11 月 12 日 (月) 15 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 14:57:41 UTC 2012 年 11 月 14 日 (水) 23 時 57 分 41 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:51:03 UTC 2012 年 11 月 16 日 (金) 23 時 51 分 3 秒 (日本時間)
4511e61000 / 2454Dmitry DomanovNovember 27, 2012 15:43:34 UTC 2012 年 11 月 28 日 (水) 0 時 43 分 34 秒 (日本時間)
5043e6500 / 7285Dmitry DomanovFebruary 19, 2013 11:27:33 UTC 2013 年 2 月 19 日 (火) 20 時 27 分 33 秒 (日本時間)

4×10236+3

c207

composite cofactor 合成数の残り
165177165185247641209548705631774770640178150750308279276515111291661587102875550614399953969456665008174488161653812640502666720067243540249725438920384368493904443688880588603315052139885869327487218467309<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 12, 2012 06:00:00 UTC 2012 年 11 月 12 日 (月) 15 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 14:57:48 UTC 2012 年 11 月 14 日 (水) 23 時 57 分 48 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:51:13 UTC 2012 年 11 月 16 日 (金) 23 時 51 分 13 秒 (日本時間)
4511e61000 / 4208Dmitry DomanovNovember 27, 2012 15:43:21 UTC 2012 年 11 月 28 日 (水) 0 時 43 分 21 秒 (日本時間)

4×10237+3

c189

composite cofactor 合成数の残り
257865776647840616835410246396971710705757152425943018182996425105622772109676267166780423672277922496828587785100006839570672237170911987951984259232676989937778151529641069264086952541531<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 12, 2012 06:00:00 UTC 2012 年 11 月 12 日 (月) 15 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 14:57:55 UTC 2012 年 11 月 14 日 (水) 23 時 57 分 55 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:51:22 UTC 2012 年 11 月 16 日 (金) 23 時 51 分 22 秒 (日本時間)
4511e61000 / 4208Dmitry DomanovNovember 27, 2012 15:42:20 UTC 2012 年 11 月 28 日 (水) 0 時 42 分 20 秒 (日本時間)

4×10238+3

c230

composite cofactor 合成数の残り
24757824791452478342840543336881647477117028027534387608206603191263933147515253671863477892091538890640604711900672859682627104383927887863923676533168825675150230155888083250770578167186066540319522988910085802617760310452922661<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 12, 2012 06:00:00 UTC 2012 年 11 月 12 日 (月) 15 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 14:58:13 UTC 2012 年 11 月 14 日 (水) 23 時 58 分 13 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:51:31 UTC 2012 年 11 月 16 日 (金) 23 時 51 分 31 秒 (日本時間)
4511e61000 / 2454Dmitry DomanovNovember 27, 2012 15:41:56 UTC 2012 年 11 月 28 日 (水) 0 時 41 分 56 秒 (日本時間)
5043e6500 / 7285Dmitry DomanovFebruary 19, 2013 11:27:00 UTC 2013 年 2 月 19 日 (火) 20 時 27 分 0 秒 (日本時間)

4×10239+3

c219

composite cofactor 合成数の残り
138369170600614965574794383507418857780442606339794334101709054069233287045698986402927419634152044996701523341778301827715589059732476248079645965749790887473900069037035712436189354511160939606421116672223643602718647<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 12, 2012 06:00:00 UTC 2012 年 11 月 12 日 (月) 15 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 14:58:21 UTC 2012 年 11 月 14 日 (水) 23 時 58 分 21 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:51:39 UTC 2012 年 11 月 16 日 (金) 23 時 51 分 39 秒 (日本時間)
4511e61000 / 4208Dmitry DomanovNovember 27, 2012 15:41:43 UTC 2012 年 11 月 28 日 (水) 0 時 41 分 43 秒 (日本時間)

4×10240+3

c161

name 名前Erik Branger
date 日付March 15, 2014 11:46:09 UTC 2014 年 3 月 15 日 (土) 20 時 46 分 9 秒 (日本時間)
composite number 合成数
74295425256872398816305813378538229934615338305432374033202781806646635613861300245828829888274580372659071160836254020348852439836441578623151799542223861631159<161>
prime factors 素因数
2478728759293106448748854625123302953535308503<46>
29973196937473811552413113073914261720238907936405144396898407226787396141025175835517884241393390414646059256843553<116>
factorization results 素因数分解の結果
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 74295425256872398816305813378538229934615338305432374033202781806646635613861300245828829888274580372659071160836254020348852439836441578623151799542223861631159 (161 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:286669524
Step 1 took 141743ms
Step 2 took 65255ms
********** Factor found in step 2: 2478728759293106448748854625123302953535308503
Found probable prime factor of 46 digits: 2478728759293106448748854625123302953535308503
Probable prime cofactor 29973196937473811552413113073914261720238907936405144396898407226787396141025175835517884241393390414646059256843553 has 116 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
351e61118118Makoto KamadaNovember 12, 2012 06:00:00 UTC 2012 年 11 月 12 日 (月) 15 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 14:58:29 UTC 2012 年 11 月 14 日 (水) 23 時 58 分 29 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:51:48 UTC 2012 年 11 月 16 日 (金) 23 時 51 分 48 秒 (日本時間)
4511e61850 / 4208600Dmitry DomanovNovember 27, 2012 15:41:07 UTC 2012 年 11 月 28 日 (水) 0 時 41 分 7 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:12:53 UTC 2013 年 11 月 9 日 (土) 2 時 12 分 53 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:36 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 36 秒 (日本時間)

4×10243+3

c208

composite cofactor 合成数の残り
1847954268672667804884239460921812065743751063896879367153217575727995768252225058969390601295212887059228747116891925863738882951610034421934488062662525918764555694087534249046438561645455281706589923877203<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 12, 2012 06:00:00 UTC 2012 年 11 月 12 日 (月) 15 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 15:00:36 UTC 2012 年 11 月 15 日 (木) 0 時 0 分 36 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:51:56 UTC 2012 年 11 月 16 日 (金) 23 時 51 分 56 秒 (日本時間)
4511e61000 / 4208Dmitry DomanovNovember 27, 2012 15:40:27 UTC 2012 年 11 月 28 日 (水) 0 時 40 分 27 秒 (日本時間)

4×10245+3

c177

composite cofactor 合成数の残り
227296870325827258125582336287111751093458091426442334641649146885132950662046112951248331616842034482839711728912812369594657949734546731650644266462503857270983846579427819837<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 12, 2012 06:00:00 UTC 2012 年 11 月 12 日 (月) 15 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 15:00:45 UTC 2012 年 11 月 15 日 (木) 0 時 0 分 45 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:52:06 UTC 2012 年 11 月 16 日 (金) 23 時 52 分 6 秒 (日本時間)
4511e6600 / 4208Dmitry DomanovNovember 27, 2012 15:40:52 UTC 2012 年 11 月 28 日 (水) 0 時 40 分 52 秒 (日本時間)

4×10247+3

c219

composite cofactor 合成数の残り
584531807226909313062495067977102710457042430167041129776707163342513452069022611090495586657154669269401907591053652766715599224517966469285941517504617248250414370211568977080244918055962524367361885143720812810268519<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 12, 2012 06:00:00 UTC 2012 年 11 月 12 日 (月) 15 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 15:00:52 UTC 2012 年 11 月 15 日 (木) 0 時 0 分 52 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:52:14 UTC 2012 年 11 月 16 日 (金) 23 時 52 分 14 秒 (日本時間)
4511e61000 / 4208Dmitry DomanovNovember 27, 2012 15:39:45 UTC 2012 年 11 月 28 日 (水) 0 時 39 分 45 秒 (日本時間)

4×10249+3

c219

composite cofactor 合成数の残り
855446509185101219008659899599024512726151301660807871764325081953039544418498230663876584752086775223984322333400200351971493601186545189540020168738030403682996368224124522010443249249403054195617373454135205690970691<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 12, 2012 06:00:00 UTC 2012 年 11 月 12 日 (月) 15 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 15:00:59 UTC 2012 年 11 月 15 日 (木) 0 時 0 分 59 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:52:22 UTC 2012 年 11 月 16 日 (金) 23 時 52 分 22 秒 (日本時間)
4511e61000 / 4208Dmitry DomanovNovember 27, 2012 15:39:32 UTC 2012 年 11 月 28 日 (水) 0 時 39 分 32 秒 (日本時間)

4×10250+3

c185

name 名前Warut Roonguthai
date 日付November 12, 2012 19:32:50 UTC 2012 年 11 月 13 日 (火) 4 時 32 分 50 秒 (日本時間)
composite number 合成数
45455641104387851349411215971574919934496563879959612358935350953004460152909740531453881050225890102367862519181860918331157245193027078033962845486236549276635725822332392389581114257<185>
prime factors 素因数
159641445028726199077868609267443<33>
composite cofactor 合成数の残り
284735840972928257427252310894822484528031658866536455450332799101470700003641780506112547935521828498901112400964496721474372084202450499027372347681899<153>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1339124700
Step 1 took 8565ms
Step 2 took 5398ms
********** Factor found in step 2: 159641445028726199077868609267443
Found probable prime factor of 33 digits: 159641445028726199077868609267443
Composite cofactor 284735840972928257427252310894822484528031658866536455450332799101470700003641780506112547935521828498901112400964496721474372084202450499027372347681899 has 153 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
351e61118118Makoto KamadaNovember 12, 2012 06:00:00 UTC 2012 年 11 月 12 日 (月) 15 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 15:01:06 UTC 2012 年 11 月 15 日 (木) 0 時 1 分 6 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:52:31 UTC 2012 年 11 月 16 日 (金) 23 時 52 分 31 秒 (日本時間)
4511e6600Dmitry DomanovNovember 27, 2012 15:40:42 UTC 2012 年 11 月 28 日 (水) 0 時 40 分 42 秒 (日本時間)
5043e61029 / 7374Dmitry DomanovNovember 28, 2012 07:08:03 UTC 2012 年 11 月 28 日 (水) 16 時 8 分 3 秒 (日本時間)