Table of contents 目次

64×10101+719

c93

name 名前Dmitry Domanov
date 日付October 23, 2009 04:37:55 UTC 2009 年 10 月 23 日 (金) 13 時 37 分 55 秒 (日本時間)
composite number 合成数
218736785723072060928346398100976742892156427457889226103190026820470108721871518645663296787<93>
prime factors 素因数
10748647274212289142063536058100292177<38>
20350168736847131287336811282510747218369900720674640931<56>
factorization results 素因数分解の結果
Number: snfs93
N=218736785723072060928346398100976742892156427457889226103190026820470108721871518645663296787
  ( 93 digits)
SNFS difficulty: 102 digits.
Divisors found:
 r1=10748647274212289142063536058100292177 (pp38)
 r2=20350168736847131287336811282510747218369900720674640931 (pp56)
Version: Msieve-1.40
Total time: 0.21 hours.
Scaled time: 0.40 units (timescale=1.951).
Factorization parameters were as follows:
n: 218736785723072060928346398100976742892156427457889226103190026820470108721871518645663296787
m: 20000000000000000000000000
deg: 4
c4: 40
c0: 71
skew: 1.15
type: snfs
lss: 1
rlim: 360000
alim: 360000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2Factor base limits: 360000/360000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [180000, 220001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 31327 x 31552
Total sieving time: 0.20 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,102.000,4,0,0,0,0,0,0,0,0,360000,360000,25,25,43,43,2.2,2.2,10000
total time: 0.21 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10117+719

c97

name 名前Sinkiti Sibata
date 日付October 23, 2009 13:10:21 UTC 2009 年 10 月 23 日 (金) 22 時 10 分 21 秒 (日本時間)
composite number 合成数
2707057632832244799267652406416240543325923557196933707581792296587876751972688319636553540205027<97>
prime factors 素因数
4516580461486691478502658597295084017<37>
599359992790028012792514906989104429264325175899011050976531<60>
factorization results 素因数分解の結果
Number: 71119_117
N=2707057632832244799267652406416240543325923557196933707581792296587876751972688319636553540205027
  ( 97 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=4516580461486691478502658597295084017 (pp37)
 r2=599359992790028012792514906989104429264325175899011050976531 (pp60)
Version: Msieve v. 1.42
Total time: 0.03 hours.
Scaled time: 0.02 units (timescale=0.854).
Factorization parameters were as follows:
name: 71119_117
n: 2707057632832244799267652406416240543325923557196933707581792296587876751972688319636553540205027
m: 200000000000000000000000
deg: 5
c5: 200
c0: 71
skew: 0.81
type: snfs
lss: 1
rlim: 670000
alim: 670000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 670000/670000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [335000, 535001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 65411 x 65637
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,118.000,5,0,0,0,0,0,0,0,0,670000,670000,25,25,45,45,2.2,2.2,50000
total time: 0.03 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.16 BogoMIPS (lpj=2913583)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11653.70 BogoMIPS).

Total time: 34 min

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10119+719

c119

name 名前Robert Backstrom
date 日付October 23, 2009 05:21:21 UTC 2009 年 10 月 23 日 (金) 14 時 21 分 21 秒 (日本時間)
composite number 合成数
41830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183007<119>
prime factors 素因数
103311831147289688284420593945175543<36>
404891336209507364975901542183933484748064918129084275135374317142656084838015829849<84>
factorization results 素因数分解の結果
Number: n
N=41830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183007
  ( 119 digits)
SNFS difficulty: 121 digits.
Divisors found:

Fri Oct 23 16:15:18 2009  prp36 factor: 103311831147289688284420593945175543
Fri Oct 23 16:15:18 2009  prp84 factor: 404891336209507364975901542183933484748064918129084275135374317142656084838015829849
Fri Oct 23 16:15:18 2009  elapsed time 00:02:51 (Msieve 1.42 - dependency 4)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.86 hours.
Scaled time: 1.58 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_7_1_118_9
n: 41830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183007
m: 2000000000000000000000000
deg: 5
c5: 1
c0: 355
skew: 3.24
type: snfs
lss: 1
rlim: 740000
alim: 740000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
qintsize: 5000
Factor base limits: 740000/740000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved  special-q in [370000, 546619)
Primes: RFBsize:59531, AFBsize:59449, largePrimes:1251581 encountered
Relations: rels:1204967, finalFF:131396
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 75390 hash collisions in 1272423 relations
Msieve: matrix is 76797 x 77022 (21.4 MB)

Total sieving time: 0.84 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,740000,740000,25,25,46,46,2.2,2.2,50000
total time: 0.86 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10120+719

c96

name 名前Sinkiti Sibata
date 日付October 23, 2009 13:57:05 UTC 2009 年 10 月 23 日 (金) 22 時 57 分 5 秒 (日本時間)
composite number 合成数
266749106366066224179930490595843183605440843999355589847519042761546631831691215229244145262709<96>
prime factors 素因数
1909784723324945661063074631191<31>
139674960799589269574939897676758027913533545895886397551579842899<66>
factorization results 素因数分解の結果
Number: 71119_120
N=266749106366066224179930490595843183605440843999355589847519042761546631831691215229244145262709
  ( 96 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=1909784723324945661063074631191 (pp31)
 r2=139674960799589269574939897676758027913533545895886397551579842899 (pp66)
Version: Msieve v. 1.42
Total time: 0.05 hours.
Scaled time: 0.04 units (timescale=0.854).
Factorization parameters were as follows:
name: 71119_120
n: 266749106366066224179930490595843183605440843999355589847519042761546631831691215229244145262709
m: 2000000000000000000000000
deg: 5
c5: 2
c0: 71
skew: 2.04
type: snfs
lss: 1
rlim: 750000
alim: 750000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 750000/750000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [375000, 625001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 94388 x 94615
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,121.000,5,0,0,0,0,0,0,0,0,750000,750000,25,25,46,46,2.2,2.2,50000
total time: 0.05 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.16 BogoMIPS (lpj=2913583)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11653.70 BogoMIPS).

Total time: 42 min.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10123+719

c92

name 名前Sinkiti Sibata
date 日付October 23, 2009 06:05:59 UTC 2009 年 10 月 23 日 (金) 15 時 5 分 59 秒 (日本時間)
composite number 合成数
12922676853285774050945956342016639234286997338578012703264913559170745694076371843725827147<92>
prime factors 素因数
1136814553249137324245558559567913<34>
11367444950762975702690695066334498127534988253058760353619<59>
factorization results 素因数分解の結果
Number: 71119_123
N=12922676853285774050945956342016639234286997338578012703264913559170745694076371843725827147
  ( 92 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=1136814553249137324245558559567913 (pp34)
 r2=11367444950762975702690695066334498127534988253058760353619 (pp59)
Version: Msieve v. 1.42
Total time: 0.10 hours.
Scaled time: 0.08 units (timescale=0.854).
Factorization parameters were as follows:
name: 71119_123
n: 12922676853285774050945956342016639234286997338578012703264913559170745694076371843725827147
m: 4000000000000000000000000
deg: 5
c5: 125
c0: 142
skew: 1.03
type: snfs
lss: 1
rlim: 850000
alim: 850000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 850000/850000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [425000, 725001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 135545 x 135793
Total sieving time: 0.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,125.000,5,0,0,0,0,0,0,0,0,850000,850000,26,26,46,46,2.3,2.3,50000
total time: 0.10 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.16 BogoMIPS (lpj=2913583)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11653.70 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10124+719

c107

name 名前Erik Branger
date 日付October 23, 2009 11:12:16 UTC 2009 年 10 月 23 日 (金) 20 時 12 分 16 秒 (日本時間)
composite number 合成数
55577613189050344711092134103356742462283334416640186952779668783769271578241242367317453883505946305748087<107>
prime factors 素因数
4300286476281171151258495079275806409526889381253159<52>
12924165284242435730941431622919751804153543973171327793<56>
factorization results 素因数分解の結果
Number: 71119_124
N=55577613189050344711092134103356742462283334416640186952779668783769271578241242367317453883505946305748087
  ( 107 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=4300286476281171151258495079275806409526889381253159 (pp52)
 r2=12924165284242435730941431622919751804153543973171327793 (pp56)
Version: Msieve-1.40
Total time: 1.42 hours.
Scaled time: 1.41 units (timescale=0.988).
Factorization parameters were as follows:
n: 55577613189050344711092134103356742462283334416640186952779668783769271578241242367317453883505946305748087
m: 20000000000000000000000000
deg: 5
c5: 1
c0: 355
skew: 3.24
type: snfs
lss: 1
rlim: 900000
alim: 900000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [450000, 650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 131335 x 131571
Total sieving time: 1.34 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:
snfs,126.000,5,0,0,0,0,0,0,0,0,900000,900000,26,26,46,46,2.3,2.3,50000
total time: 1.42 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10126+719

c127

name 名前Sinkiti Sibata
date 日付October 23, 2009 06:02:46 UTC 2009 年 10 月 23 日 (金) 15 時 2 分 46 秒 (日本時間)
composite number 合成数
2370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370373<127>
prime factors 素因数
83875743501839534174392033664726057850617<41>
28260499059759562269210391206123758704930814197669847316807229716561932184297190743469<86>
factorization results 素因数分解の結果
Number: 71119_126
N=2370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370373
  ( 127 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=83875743501839534174392033664726057850617 (pp41)
 r2=28260499059759562269210391206123758704930814197669847316807229716561932184297190743469 (pp86)
Version: Msieve v. 1.42
Total time: 0.10 hours.
Scaled time: 0.08 units (timescale=0.854).
Factorization parameters were as follows:
name: 71119_126
n: 2370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370373
m: 20000000000000000000000000
deg: 5
c5: 20
c0: 71
skew: 1.29
type: snfs
lss: 1
rlim: 940000
alim: 940000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 940000/940000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [470000, 770001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 148947 x 149195
Total sieving time: 0.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,127.000,5,0,0,0,0,0,0,0,0,940000,940000,26,26,46,46,2.3,2.3,50000
total time: 0.10 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.16 BogoMIPS (lpj=2913583)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11653.70 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10128+719

c121

name 名前Sinkiti Sibata
date 日付October 23, 2009 22:50:36 UTC 2009 年 10 月 24 日 (土) 7 時 50 分 36 秒 (日本時間)
composite number 合成数
4502856141598834885410504283773545671340260559585847498662674592011490095616482702936322973148554888563657439779014792567<121>
prime factors 素因数
219246084445885541879554806930967<33>
226366253431612444268772260693243<33>
90728669742939326666422767939725447916165155744870994707<56>
factorization results 素因数分解の結果
Number: 71119_128
N=4502856141598834885410504283773545671340260559585847498662674592011490095616482702936322973148554888563657439779014792567
  ( 121 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=219246084445885541879554806930967 (pp33)
 r2=226366253431612444268772260693243 (pp33)
 r3=90728669742939326666422767939725447916165155744870994707 (pp56)
Version: Msieve-1.40
Total time: 3.48 hours.
Scaled time: 6.96 units (timescale=1.999).
Factorization parameters were as follows:
name: 71119_128
n: 4502856141598834885410504283773545671340260559585847498662674592011490095616482702936322973148554888563657439779014792567
m: 40000000000000000000000000
deg: 5
c5: 125
c0: 142
skew: 1.03
type: snfs
lss: 1
rlim: 1030000
alim: 1030000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1030000/1030000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [515000, 965001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 170055 x 170303
Total sieving time: 3.22 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,130.000,5,0,0,0,0,0,0,0,0,1030000,1030000,26,26,47,47,2.3,2.3,50000
total time: 3.48 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10132+719

c106

name 名前Jo Yeong Uk
date 日付October 23, 2009 11:24:24 UTC 2009 年 10 月 23 日 (金) 20 時 24 分 24 秒 (日本時間)
composite number 合成数
3738792004173910248793834600429365849248846138515661337826580068398171638128399400957869379586676639493347<106>
prime factors 素因数
33406633458733228036889158768693<32>
111917652785707680031519794663165296371462657267249967130393240919514596279<75>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 3738792004173910248793834600429365849248846138515661337826580068398171638128399400957869379586676639493347 (106 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=8392278160
Step 1 took 3541ms
Step 2 took 3791ms
********** Factor found in step 2: 33406633458733228036889158768693
Found probable prime factor of 32 digits: 33406633458733228036889158768693
Probable prime cofactor 111917652785707680031519794663165296371462657267249967130393240919514596279 has 75 digits
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10133+719

c101

name 名前Erik Branger
date 日付October 23, 2009 16:25:57 UTC 2009 年 10 月 24 日 (土) 1 時 25 分 57 秒 (日本時間)
composite number 合成数
11494580079666558542443783728928619354494775302497272662571411224326978098568361652889243341174189633<101>
prime factors 素因数
1664789434755203812778700766914906617226821<43>
6904524884467902638231307540947107049825316235236603917773<58>
factorization results 素因数分解の結果
Number: 71119_133
N=11494580079666558542443783728928619354494775302497272662571411224326978098568361652889243341174189633
  ( 101 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=1664789434755203812778700766914906617226821 (pp43)
 r2=6904524884467902638231307540947107049825316235236603917773 (pp58)
Version: Msieve-1.40
Total time: 4.57 hours.
Scaled time: 4.67 units (timescale=1.022).
Factorization parameters were as follows:
n: 11494580079666558542443783728928619354494775302497272662571411224326978098568361652889243341174189633
m: 400000000000000000000000000
deg: 5
c5: 125
c0: 142
skew: 1.03
type: snfs
lss: 1
rlim: 1250000
alim: 1250000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1250000/1250000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [625000, 1300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 192195 x 192420
Total sieving time: 4.37 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,135.000,5,0,0,0,0,0,0,0,0,1250000,1250000,26,26,47,47,2.3,2.3,75000
total time: 4.57 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10135+719

c117

name 名前Erik Branger
date 日付October 24, 2009 17:00:54 UTC 2009 年 10 月 25 日 (日) 2 時 0 分 54 秒 (日本時間)
composite number 合成数
100176181000500631308063494887563223896392778748013981224950810417423406786533143856643400160961427050883279307258059<117>
prime factors 素因数
49396726635866252941349225764082311779594253<44>
2027992294691125275972524809223849871442123743225447567390794349798850103<73>
factorization results 素因数分解の結果
Number: 71119_135
N=1001761810005006313080634948875632238963927787480139812249508104174234067865331438566434001609614270508832793072

58059
  ( 117 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=49396726635866252941349225764082311779594253 (pp44)
 r2=2027992294691125275972524809223849871442123743225447567390794349798850103 (pp73)
Version: Msieve-1.40
Total time: 4.15 hours.
Scaled time: 4.18 units (timescale=1.006).
Factorization parameters were as follows:
n: 

100176181000500631308063494887563223896392778748013981224950810417423406786533143856643400160961427050883279307258

059
m: 2000000000000000000000000000
deg: 5
c5: 2
c0: 71
skew: 2.04
type: snfs
lss: 1
rlim: 1330000
alim: 1330000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1330000/1330000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [665000, 1265001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 183913 x 184139
Total sieving time: 3.98 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1330000,1330000,26,26,48,48,2.3,2.3,75000
total time: 4.15 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10137+719

c138

name 名前Sinkiti Sibata
date 日付October 23, 2009 11:59:59 UTC 2009 年 10 月 23 日 (金) 20 時 59 分 59 秒 (日本時間)
composite number 合成数
711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119<138>
prime factors 素因数
4678254969758935869078035834515686537386950155297113<52>
152003496112943519578771055918308270279589141828614745466191423566662228372256519561063<87>
factorization results 素因数分解の結果
Number: 71119_137
N=711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119
  ( 138 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=4678254969758935869078035834515686537386950155297113 (pp52)
 r2=152003496112943519578771055918308270279589141828614745466191423566662228372256519561063 (pp87)
Version: Msieve v. 1.42
Total time: 0.16 hours.
Scaled time: 0.14 units (timescale=0.854).
Factorization parameters were as follows:
name: 71119_137
n: 711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119
m: 2000000000000000000000000000
deg: 5
c5: 200
c0: 71
skew: 0.81
type: snfs
lss: 1
rlim: 1440000
alim: 1440000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1440000/1440000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [720000, 1395001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 199344 x 199572
Total sieving time: 0.00 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,138.000,5,0,0,0,0,0,0,0,0,1440000,1440000,26,26,48,48,2.3,2.3,75000
total time: 0.16 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.16 BogoMIPS (lpj=2913583)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11653.70 BogoMIPS).

Total time: 2 hours 24 min.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10140+719

c99

name 名前Jo Yeong Uk
date 日付October 23, 2009 00:07:43 UTC 2009 年 10 月 23 日 (金) 9 時 7 分 43 秒 (日本時間)
composite number 合成数
947923954211507557584220578170638095302115735929727807120717193980875431937747867188809643003796369<99>
prime factors 素因数
4365243825947720194516559610136906553161<40>
217152578872431638637153816457693436327459716445307037022729<60>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 947923954211507557584220578170638095302115735929727807120717193980875431937747867188809643003796369 (99 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3295075564
Step 1 took 2713ms
Step 2 took 1770ms
********** Factor found in step 2: 4365243825947720194516559610136906553161
Found probable prime factor of 40 digits: 4365243825947720194516559610136906553161
Probable prime cofactor 217152578872431638637153816457693436327459716445307037022729 has 60 digits
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10141+719

c123

name 名前Erik Branger
date 日付October 24, 2009 08:42:05 UTC 2009 年 10 月 24 日 (土) 17 時 42 分 5 秒 (日本時間)
composite number 合成数
189597387272134522772268193701446398461691904062379603481427004394227700656471441219573544266601776458865910529642176709163<123>
prime factors 素因数
6510739734848601425260429916535506287<37>
29120713619885368879626705765668284768909292908607215351267930881138585180884368345349<86>
factorization results 素因数分解の結果
Number: 71119_141
N=189597387272134522772268193701446398461691904062379603481427004394227700656471441219573544266601776458865910529642176709163
  ( 123 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=6510739734848601425260429916535506287 (pp37)
 r2=29120713619885368879626705765668284768909292908607215351267930881138585180884368345349 (pp86)
Version: Msieve v. 1.41
Total time: 10.10 hours.
Scaled time: 7.97 units (timescale=0.789).
Factorization parameters were as follows:
n: 189597387272134522772268193701446398461691904062379603481427004394227700656471441219573544266601776458865910529642176709163
m: 20000000000000000000000000000
deg: 5
c5: 20
c0: 71
skew: 1.29
type: snfs
lss: 1
rlim: 1680000
alim: 1680000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1680000/1680000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [840000, 1740001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 287547 x 287795
Total sieving time: 9.54 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.40 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,142.000,5,0,0,0,0,0,0,0,0,1680000,1680000,26,26,48,48,2.3,2.3,100000
total time: 10.10 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10142+719

c143

name 名前Sinkiti Sibata
date 日付October 23, 2009 12:20:21 UTC 2009 年 10 月 23 日 (金) 21 時 20 分 21 秒 (日本時間)
composite number 合成数
71111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119<143>
prime factors 素因数
2751554361959943194224637967034286786872683258385468032588376648693<67>
25843978259785636875135096179738241197288805889331674506170937558923404767283<77>
factorization results 素因数分解の結果
Number: 71119_142
N=71111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119
  ( 143 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=2751554361959943194224637967034286786872683258385468032588376648693 (pp67)
 r2=25843978259785636875135096179738241197288805889331674506170937558923404767283 (pp77)
Version: Msieve v. 1.42
Total time: 0.35 hours.
Scaled time: 0.30 units (timescale=0.854).
Factorization parameters were as follows:
name: 71119_142
n: 71111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119
m: 20000000000000000000000000000
deg: 5
c5: 200
c0: 71
skew: 0.81
type: snfs
lss: 1
rlim: 1750000
alim: 1750000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1750000/1750000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [875000, 1775001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 279652 x 279877
Total sieving time: 0.00 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,143.000,5,0,0,0,0,0,0,0,0,1750000,1750000,26,26,48,48,2.3,2.3,100000
total time: 0.35 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.16 BogoMIPS (lpj=2913583)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11653.70 BogoMIPS).

Total time: 3 hours 26 min.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10145+719

c125

name 名前Robert Backstrom
date 日付October 25, 2009 18:51:36 UTC 2009 年 10 月 26 日 (月) 3 時 51 分 36 秒 (日本時間)
composite number 合成数
27122247534084376245588110450780566165130294252738929924863032247137344769809668138430297488719079932927938298601631927656539<125>
prime factors 素因数
3985975919104421112065980519315938875570010459634054863923<58>
6804418311733872599573710011672467323159706487887800210790835847993<67>
factorization results 素因数分解の結果
Number: n
N=27122247534084376245588110450780566165130294252738929924863032247137344769809668138430297488719079932927938298601631927656539
  ( 125 digits)
SNFS difficulty: 146 digits.
Divisors found:

Mon Oct 26 05:47:24 2009  prp58 factor: 3985975919104421112065980519315938875570010459634054863923
Mon Oct 26 05:47:24 2009  prp67 factor: 6804418311733872599573710011672467323159706487887800210790835847993
Mon Oct 26 05:47:24 2009  elapsed time 00:38:06 (Msieve 1.42 - dependency 6)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 7.17 hours.
Scaled time: 13.11 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_7_1_144_9
n: 27122247534084376245588110450780566165130294252738929924863032247137344769809668138430297488719079932927938298601631927656539
m: 200000000000000000000000000000
deg: 5
c5: 2
c0: 71
skew: 2.04
type: snfs
lss: 1
rlim: 1960000
alim: 1960000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
qintsize: 20000
Factor base limits: 1960000/1960000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [980000, 2260327)
Primes: RFBsize:146186, AFBsize:145537, largePrimes:3949671 encountered
Relations: rels:3857064, finalFF:293739
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 617581 hash collisions in 4330650 relations
Msieve: matrix is 336970 x 337195 (89.4 MB)

Total sieving time: 7.09 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1960000,1960000,26,26,49,49,2.3,2.3,100000
total time: 7.17 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10146+719

c132

name 名前Jo Yeong Uk
date 日付October 25, 2009 00:30:45 UTC 2009 年 10 月 25 日 (日) 9 時 30 分 45 秒 (日本時間)
composite number 合成数
193787923704779801177073863032680063432689263509288681043015945411329156407124011875072237800285489154167790197935985497233285470271<132>
prime factors 素因数
20922248714492232747363242068574188327<38>
9262289457946675998505921238040544871349507594919771113867620230027339113642857153369700991273<94>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 193787923704779801177073863032680063432689263509288681043015945411329156407124011875072237800285489154167790197935985497233285470271 (132 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=5589003022
Step 1 took 3281ms
Step 2 took 2185ms
********** Factor found in step 2: 20922248714492232747363242068574188327
Found probable prime factor of 38 digits: 20922248714492232747363242068574188327
Probable prime cofactor 9262289457946675998505921238040544871349507594919771113867620230027339113642857153369700991273 has 94 digits
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10147+719

c122

name 名前Jo Yeong Uk
date 日付October 25, 2009 01:26:26 UTC 2009 年 10 月 25 日 (日) 10 時 26 分 26 秒 (日本時間)
composite number 合成数
35313207866128717054296738530445351859223418556327577583962195210110904762886801944682119343082073509336326076720727163121<122>
prime factors 素因数
9092679240857687203699489343863<31>
1133692009344949981305377259795459982489171<43>
3425706994020588576485113095334514017387044260077<49>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 35313207866128717054296738530445351859223418556327577583962195210110904762886801944682119343082073509336326076720727163121 (122 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=7176917761
Step 1 took 4196ms
Step 2 took 16ms
********** Factor found in step 2: 9092679240857687203699489343863
Found probable prime factor of 31 digits: 9092679240857687203699489343863
Composite cofactor 3883696645478249614182960181405500086959054640731065811210010188998322859496291566360126167 has 91 digits

10/25/09 09:34:43 v1.10 @ 조영욱-PC, starting SIQS on c91: 3883696645478249614182960181405500086959054640731065811210010188998322859496291566360126167
10/25/09 09:34:43 v1.10 @ 조영욱-PC, random seeds: 2850916953, 456782072
10/25/09 09:34:44 v1.10 @ 조영욱-PC, ==== sieve params ====
10/25/09 09:34:44 v1.10 @ 조영욱-PC, n = 91 digits, 304 bits
10/25/09 09:34:44 v1.10 @ 조영욱-PC, factor base: 68495 primes (max prime = 1822187)
10/25/09 09:34:44 v1.10 @ 조영욱-PC, single large prime cutoff: 218662440 (120 * pmax)
10/25/09 09:34:44 v1.10 @ 조영욱-PC, double large prime range from 43 to 50 bits
10/25/09 09:34:44 v1.10 @ 조영욱-PC, double large prime cutoff: 1027054623429564
10/25/09 09:34:44 v1.10 @ 조영욱-PC, using 16 large prime slices of factor base
10/25/09 09:34:44 v1.10 @ 조영욱-PC, buckets hold 1024 elements
10/25/09 09:34:44 v1.10 @ 조영욱-PC, sieve interval: 11 blocks of size 65536
10/25/09 09:34:44 v1.10 @ 조영욱-PC, polynomial A has ~ 12 factors
10/25/09 09:34:44 v1.10 @ 조영욱-PC, using multiplier of 7
10/25/09 09:34:44 v1.10 @ 조영욱-PC, using small prime variation correction of 21 bits
10/25/09 09:34:44 v1.10 @ 조영욱-PC, using SSE2 for trial division and x128 sieve scanning
10/25/09 09:34:44 v1.10 @ 조영욱-PC, trial factoring cutoff at 96 bits
10/25/09 09:34:44 v1.10 @ 조영욱-PC, ==== sieving started ====
10/25/09 10:24:05 v1.10 @ 조영욱-PC, sieve time = 1336.7250, relation time = 691.6450, poly_time = 932.2880
10/25/09 10:24:05 v1.10 @ 조영욱-PC, 68584 relations found: 19869 full + 48715 from 829684 partial, using 424594 polys (207 A polys)
10/25/09 10:24:05 v1.10 @ 조영욱-PC, on average, sieving found 2.00 rels/poly and 286.83 rels/sec
10/25/09 10:24:05 v1.10 @ 조영욱-PC, trial division touched 25510065 sieve locations out of 612176232448
10/25/09 10:24:05 v1.10 @ 조영욱-PC, ==== post processing stage (msieve-1.38) ====
10/25/09 10:24:06 v1.10 @ 조영욱-PC, begin with 849553 relations
10/25/09 10:24:06 v1.10 @ 조영욱-PC, reduce to 159157 relations in 9 passes
10/25/09 10:24:07 v1.10 @ 조영욱-PC, recovered 159157 relations
10/25/09 10:24:07 v1.10 @ 조영욱-PC, recovered 132584 polynomials
10/25/09 10:24:08 v1.10 @ 조영욱-PC, attempting to build 68584 cycles
10/25/09 10:24:08 v1.10 @ 조영욱-PC, found 68584 cycles in 5 passes
10/25/09 10:24:08 v1.10 @ 조영욱-PC, distribution of cycle lengths:
10/25/09 10:24:08 v1.10 @ 조영욱-PC,    length 1 : 19869
10/25/09 10:24:08 v1.10 @ 조영욱-PC,    length 2 : 14935
10/25/09 10:24:08 v1.10 @ 조영욱-PC,    length 3 : 12558
10/25/09 10:24:08 v1.10 @ 조영욱-PC,    length 4 : 8791
10/25/09 10:24:08 v1.10 @ 조영욱-PC,    length 5 : 5600
10/25/09 10:24:08 v1.10 @ 조영욱-PC,    length 6 : 3169
10/25/09 10:24:08 v1.10 @ 조영욱-PC,    length 7 : 1793
10/25/09 10:24:08 v1.10 @ 조영욱-PC,    length 9+: 1869
10/25/09 10:24:08 v1.10 @ 조영욱-PC, largest cycle: 16 relations
10/25/09 10:24:08 v1.10 @ 조영욱-PC, matrix is 68495 x 68584 (16.9 MB) with weight 3885812 (56.66/col)
10/25/09 10:24:08 v1.10 @ 조영욱-PC, sparse part has weight 3885812 (56.66/col)
10/25/09 10:24:08 v1.10 @ 조영욱-PC, filtering completed in 3 passes
10/25/09 10:24:08 v1.10 @ 조영욱-PC, matrix is 63408 x 63471 (15.8 MB) with weight 3643439 (57.40/col)
10/25/09 10:24:08 v1.10 @ 조영욱-PC, sparse part has weight 3643439 (57.40/col)
10/25/09 10:24:08 v1.10 @ 조영욱-PC, saving the first 48 matrix rows for later
10/25/09 10:24:08 v1.10 @ 조영욱-PC, matrix is 63360 x 63471 (10.5 MB) with weight 2826606 (44.53/col)
10/25/09 10:24:08 v1.10 @ 조영욱-PC, sparse part has weight 2120045 (33.40/col)
10/25/09 10:24:08 v1.10 @ 조영욱-PC, matrix includes 64 packed rows
10/25/09 10:24:08 v1.10 @ 조영욱-PC, using block size 25388 for processor cache size 4096 kB
10/25/09 10:24:09 v1.10 @ 조영욱-PC, commencing Lanczos iteration
10/25/09 10:24:09 v1.10 @ 조영욱-PC, memory use: 9.4 MB
10/25/09 10:24:26 v1.10 @ 조영욱-PC, lanczos halted after 1004 iterations (dim = 63356)
10/25/09 10:24:26 v1.10 @ 조영욱-PC, recovered 15 nontrivial dependencies
10/25/09 10:24:29 v1.10 @ 조영욱-PC, prp49 = 3425706994020588576485113095334514017387044260077
10/25/09 10:24:30 v1.10 @ 조영욱-PC, prp43 = 1133692009344949981305377259795459982489171
10/25/09 10:24:30 v1.10 @ 조영욱-PC, Lanczos elapsed time = 20.9670 seconds.
10/25/09 10:24:30 v1.10 @ 조영욱-PC, Sqrt elapsed time = 3.5410 seconds.
10/25/09 10:24:30 v1.10 @ 조영욱-PC, SIQS elapsed time = 2986.4140 seconds.
10/25/09 10:24:30 v1.10 @ 조영욱-PC, 
10/25/09 10:24:30 v1.10 @ 조영욱-PC, 
software ソフトウェア
GMP-ECM v6.2.3 / YAFU v1.10
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10148+719

c135

name 名前Erik Branger
date 日付October 26, 2009 09:29:08 UTC 2009 年 10 月 26 日 (月) 18 時 29 分 8 秒 (日本時間)
composite number 合成数
398407077633402270859097355117764757231141518424162589329272214800757115653354785873245636091652410515292878810302450340483976288496803<135>
prime factors 素因数
975169651366129558075327576737355940889743354566764389<54>
408551555183519006487997988119774128669000839667774060646809837018531358174074727<81>
factorization results 素因数分解の結果
Number: 71119_148
N=398407077633402270859097355117764757231141518424162589329272214800757115653354785873245636091652410515292878810302450340483976288496803
  ( 135 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=975169651366129558075327576737355940889743354566764389 (pp54)
 r2=408551555183519006487997988119774128669000839667774060646809837018531358174074727 (pp81)
Version: Msieve-1.40
Total time: 16.08 hours.
Scaled time: 15.11 units (timescale=0.940).
Factorization parameters were as follows:
n: 398407077633402270859097355117764757231141518424162589329272214800757115653354785873245636091652410515292878810302450340483976288496803
m: 400000000000000000000000000000
deg: 5
c5: 125
c0: 142
skew: 1.03
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 1900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 410063 x 410289
Total sieving time: 15.38 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.38 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
snfs,150.000,5,0,0,0,0,0,0,0,0,2200000,2200000,27,27,49,49,2.4,2.4,100000
total time: 16.08 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10150+719

c106

name 名前Dmitry Domanov
date 日付October 24, 2009 20:56:47 UTC 2009 年 10 月 25 日 (日) 5 時 56 分 47 秒 (日本時間)
composite number 合成数
1011580565808300035324835095269093337415387040964529896988277350606665747712644305132003455465229187986427<106>
prime factors 素因数
60033171818637036837946345942978850104908263861<47>
16850360145293193596749837297116847910388052640299429895407<59>
factorization results 素因数分解の結果
Number: gnfs106
N=1011580565808300035324835095269093337415387040964529896988277350606665747712644305132003455465229187986427
  ( 106 digits)
Divisors found:
 r1=60033171818637036837946345942978850104908263861 (pp47)
 r2=16850360145293193596749837297116847910388052640299429895407 (pp59)
Version: Msieve-1.40
Total time: 7.46 hours.
Scaled time: 14.39 units (timescale=1.928).
Factorization parameters were as follows:
name: gnfs106
n: 1011580565808300035324835095269093337415387040964529896988277350606665747712644305132003455465229187986427
skew: 12656.69
# norm 7.40e+014
c5: 92400
c4: 839948774
c3: -73701608093115
c2: -18833223482297583
c1: 3377810069304610720235
c0: 488844492386143255374089
# alpha -6.62
Y1: 273354832543
Y0: -101827148467019791260
# Murphy_E 1.89e-009
# M 301070719605173866416940685340759894911051254330603743674021012391945810541977611780615421200839662171667
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 241887 x 242112
Polynomial selection time: 0.85 hours.
Total sieving time: 6.35 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,105,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 7.46 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10152+719

c94

name 名前Sinkiti Sibata
date 日付October 23, 2009 09:34:12 UTC 2009 年 10 月 23 日 (金) 18 時 34 分 12 秒 (日本時間)
composite number 合成数
5168172640646496280310503746779910476782570941333542739924774727373152267839256863568582076867<94>
prime factors 素因数
3928758742686927379474311715139<31>
1315472132328471305168939778776883400661078541357517237138695553<64>
factorization results 素因数分解の結果
Fri Oct 23 14:56:27 2009  Msieve v. 1.42
Fri Oct 23 14:56:27 2009  random seeds: f194aed4 464868b8
Fri Oct 23 14:56:27 2009  factoring 5168172640646496280310503746779910476782570941333542739924774727373152267839256863568582076867 (94 digits)
Fri Oct 23 14:56:28 2009  searching for 15-digit factors
Fri Oct 23 14:56:29 2009  commencing quadratic sieve (94-digit input)
Fri Oct 23 14:56:29 2009  using multiplier of 2
Fri Oct 23 14:56:29 2009  using 32kb Intel Core sieve core
Fri Oct 23 14:56:29 2009  sieve interval: 36 blocks of size 32768
Fri Oct 23 14:56:29 2009  processing polynomials in batches of 6
Fri Oct 23 14:56:29 2009  using a sieve bound of 2056211 (76471 primes)
Fri Oct 23 14:56:29 2009  using large prime bound of 283757118 (28 bits)
Fri Oct 23 14:56:29 2009  using double large prime bound of 1641738948997842 (42-51 bits)
Fri Oct 23 14:56:29 2009  using trial factoring cutoff of 51 bits
Fri Oct 23 14:56:29 2009  polynomial 'A' values have 12 factors
Fri Oct 23 18:15:47 2009  76840 relations (18623 full + 58217 combined from 1108711 partial), need 76567
Fri Oct 23 18:15:50 2009  begin with 1127334 relations
Fri Oct 23 18:15:51 2009  reduce to 200273 relations in 11 passes
Fri Oct 23 18:15:51 2009  attempting to read 200273 relations
Fri Oct 23 18:15:54 2009  recovered 200273 relations
Fri Oct 23 18:15:54 2009  recovered 184455 polynomials
Fri Oct 23 18:15:54 2009  attempting to build 76840 cycles
Fri Oct 23 18:15:54 2009  found 76840 cycles in 6 passes
Fri Oct 23 18:15:54 2009  distribution of cycle lengths:
Fri Oct 23 18:15:54 2009     length 1 : 18623
Fri Oct 23 18:15:54 2009     length 2 : 13514
Fri Oct 23 18:15:54 2009     length 3 : 12946
Fri Oct 23 18:15:54 2009     length 4 : 10395
Fri Oct 23 18:15:54 2009     length 5 : 7844
Fri Oct 23 18:15:54 2009     length 6 : 5278
Fri Oct 23 18:15:54 2009     length 7 : 3534
Fri Oct 23 18:15:54 2009     length 9+: 4706
Fri Oct 23 18:15:54 2009  largest cycle: 22 relations
Fri Oct 23 18:15:55 2009  matrix is 76471 x 76840 (20.2 MB) with weight 4987394 (64.91/col)
Fri Oct 23 18:15:55 2009  sparse part has weight 4987394 (64.91/col)
Fri Oct 23 18:15:56 2009  filtering completed in 3 passes
Fri Oct 23 18:15:56 2009  matrix is 72965 x 73029 (19.2 MB) with weight 4748338 (65.02/col)
Fri Oct 23 18:15:56 2009  sparse part has weight 4748338 (65.02/col)
Fri Oct 23 18:15:56 2009  saving the first 48 matrix rows for later
Fri Oct 23 18:15:56 2009  matrix is 72917 x 73029 (12.0 MB) with weight 3734396 (51.14/col)
Fri Oct 23 18:15:56 2009  sparse part has weight 2704773 (37.04/col)
Fri Oct 23 18:15:56 2009  matrix includes 64 packed rows
Fri Oct 23 18:15:56 2009  using block size 29211 for processor cache size 1024 kB
Fri Oct 23 18:15:57 2009  commencing Lanczos iteration
Fri Oct 23 18:15:57 2009  memory use: 12.2 MB
Fri Oct 23 18:16:32 2009  lanczos halted after 1154 iterations (dim = 72917)
Fri Oct 23 18:16:32 2009  recovered 18 nontrivial dependencies
Fri Oct 23 18:16:33 2009  prp31 factor: 3928758742686927379474311715139
Fri Oct 23 18:16:33 2009  prp64 factor: 1315472132328471305168939778776883400661078541357517237138695553
Fri Oct 23 18:16:33 2009  elapsed time 03:20:06

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10153+719

c125

name 名前Jo Yeong Uk
date 日付November 8, 2009 15:02:11 UTC 2009 年 11 月 9 日 (月) 0 時 2 分 11 秒 (日本時間)
composite number 合成数
94546340885893875775565511755890916652169251907705803092120211847812361089925446153997345174676984566004539608391284500975579<125>
prime factors 素因数
5614634034614379921533744369479856200331498912590870991988599<61>
16839270432055405826800110526516344410089090140539090333981785021<65>
factorization results 素因数分解の結果
Number: 71119_153
N=94546340885893875775565511755890916652169251907705803092120211847812361089925446153997345174676984566004539608391284500975579
  ( 125 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=5614634034614379921533744369479856200331498912590870991988599
 r2=16839270432055405826800110526516344410089090140539090333981785021
Version: 
Total time: 12.25 hours.
Scaled time: 29.09 units (timescale=2.374).
Factorization parameters were as follows:
n: 94546340885893875775565511755890916652169251907705803092120211847812361089925446153997345174676984566004539608391284500975579
m: 20000000000000000000000000000000
deg: 5
c5: 1
c0: 3550
skew: 5.13
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8225922
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 512102 x 512350
Total sieving time: 11.13 hours.
Total relation processing time: 0.45 hours.
Matrix solve time: 0.59 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 12.25 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10156+719

c111

name 名前Jo Yeong Uk
date 日付October 23, 2009 09:57:02 UTC 2009 年 10 月 23 日 (金) 18 時 57 分 2 秒 (日本時間)
composite number 合成数
249896937284161970702752522215730960916460132881437417396746833828803352253291147384499572487883163961983272009<111>
prime factors 素因数
1509622802506911568366078614272501<34>
3540605850217335430143189930721214149<37>
46753583509719466111127548763912412200641<41>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 249896937284161970702752522215730960916460132881437417396746833828803352253291147384499572487883163961983272009 (111 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3636675759
Step 1 took 3447ms
Step 2 took 3775ms
********** Factor found in step 2: 1509622802506911568366078614272501
Found probable prime factor of 34 digits: 1509622802506911568366078614272501
Composite cofactor 165536011293137483754755380980026119736404254846460957351992023020952516069509 has 78 digits

10/23/09 18:51:26 v1.10 @ 조영욱-PC, starting SIQS on c78: 165536011293137483754755380980026119736404254846460957351992023020952516069509
10/23/09 18:51:26 v1.10 @ 조영욱-PC, random seeds: 3287229736, 2548667776
10/23/09 18:51:27 v1.10 @ 조영욱-PC, ==== sieve params ====
10/23/09 18:51:27 v1.10 @ 조영욱-PC, n = 78 digits, 257 bits
10/23/09 18:51:27 v1.10 @ 조영욱-PC, factor base: 35111 primes (max prime = 879097)
10/23/09 18:51:27 v1.10 @ 조영욱-PC, single large prime cutoff: 74723245 (85 * pmax)
10/23/09 18:51:27 v1.10 @ 조영욱-PC, using 12 large prime slices of factor base
10/23/09 18:51:27 v1.10 @ 조영욱-PC, buckets hold 1024 elements
10/23/09 18:51:27 v1.10 @ 조영욱-PC, sieve interval: 5 blocks of size 65536
10/23/09 18:51:27 v1.10 @ 조영욱-PC, polynomial A has ~ 10 factors
10/23/09 18:51:27 v1.10 @ 조영욱-PC, using multiplier of 1
10/23/09 18:51:27 v1.10 @ 조영욱-PC, using small prime variation correction of 18 bits
10/23/09 18:51:27 v1.10 @ 조영욱-PC, using SSE2 for trial division and x64 sieve scanning
10/23/09 18:51:27 v1.10 @ 조영욱-PC, trial factoring cutoff at 91 bits
10/23/09 18:51:27 v1.10 @ 조영욱-PC, ==== sieving started ====
10/23/09 18:55:46 v1.10 @ 조영욱-PC, sieve time = 124.7190, relation time = 44.5060, poly_time = 89.7600
10/23/09 18:55:46 v1.10 @ 조영욱-PC, 35322 relations found: 17489 full + 17833 from 185428 partial, using 88776 polys (173 A polys)
10/23/09 18:55:46 v1.10 @ 조영욱-PC, on average, sieving found 2.29 rels/poly and 782.63 rels/sec
10/23/09 18:55:46 v1.10 @ 조영욱-PC, trial division touched 2499810 sieve locations out of 58180239360
10/23/09 18:55:46 v1.10 @ 조영욱-PC, ==== post processing stage (msieve-1.38) ====
10/23/09 18:55:46 v1.10 @ 조영욱-PC, begin with 202917 relations
10/23/09 18:55:46 v1.10 @ 조영욱-PC, reduce to 50918 relations in 2 passes
10/23/09 18:55:46 v1.10 @ 조영욱-PC, recovered 50918 relations
10/23/09 18:55:46 v1.10 @ 조영욱-PC, recovered 38684 polynomials
10/23/09 18:55:46 v1.10 @ 조영욱-PC, attempting to build 35322 cycles
10/23/09 18:55:46 v1.10 @ 조영욱-PC, found 35322 cycles in 1 passes
10/23/09 18:55:46 v1.10 @ 조영욱-PC, distribution of cycle lengths:
10/23/09 18:55:46 v1.10 @ 조영욱-PC,    length 1 : 17489
10/23/09 18:55:46 v1.10 @ 조영욱-PC,    length 2 : 17833
10/23/09 18:55:46 v1.10 @ 조영욱-PC, largest cycle: 2 relations
10/23/09 18:55:46 v1.10 @ 조영욱-PC, matrix is 35111 x 35322 (5.1 MB) with weight 1049121 (29.70/col)
10/23/09 18:55:46 v1.10 @ 조영욱-PC, sparse part has weight 1049121 (29.70/col)
10/23/09 18:55:46 v1.10 @ 조영욱-PC, filtering completed in 3 passes
10/23/09 18:55:46 v1.10 @ 조영욱-PC, matrix is 26735 x 26799 (4.1 MB) with weight 861999 (32.17/col)
10/23/09 18:55:46 v1.10 @ 조영욱-PC, sparse part has weight 861999 (32.17/col)
10/23/09 18:55:46 v1.10 @ 조영욱-PC, saving the first 48 matrix rows for later
10/23/09 18:55:46 v1.10 @ 조영욱-PC, matrix is 26687 x 26799 (2.8 MB) with weight 634513 (23.68/col)
10/23/09 18:55:46 v1.10 @ 조영욱-PC, sparse part has weight 469328 (17.51/col)
10/23/09 18:55:46 v1.10 @ 조영욱-PC, matrix includes 64 packed rows
10/23/09 18:55:46 v1.10 @ 조영욱-PC, commencing Lanczos iteration
10/23/09 18:55:46 v1.10 @ 조영욱-PC, memory use: 3.8 MB
10/23/09 18:55:53 v1.10 @ 조영욱-PC, lanczos halted after 424 iterations (dim = 26685)
10/23/09 18:55:53 v1.10 @ 조영욱-PC, recovered 15 nontrivial dependencies
10/23/09 18:55:53 v1.10 @ 조영욱-PC, prp37 = 3540605850217335430143189930721214149
10/23/09 18:55:54 v1.10 @ 조영욱-PC, prp41 = 46753583509719466111127548763912412200641
10/23/09 18:55:54 v1.10 @ 조영욱-PC, Lanczos elapsed time = 7.4720 seconds.
10/23/09 18:55:54 v1.10 @ 조영욱-PC, Sqrt elapsed time = 1.1390 seconds.
10/23/09 18:55:54 v1.10 @ 조영욱-PC, SIQS elapsed time = 267.8880 seconds.
10/23/09 18:55:54 v1.10 @ 조영욱-PC, 
10/23/09 18:55:54 v1.10 @ 조영욱-PC, 
software ソフトウェア
GMP-ECM v6.2.3 / YAFU v1.10
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10157+719

c140

name 名前Erik Branger
date 日付November 12, 2009 19:30:17 UTC 2009 年 11 月 13 日 (金) 4 時 30 分 17 秒 (日本時間)
composite number 合成数
25264910165290650509851238117231571124114862434002665400453091269791075424520683131999659561821303788450380878240060216801402515711719402207<140>
prime factors 素因数
9964004601390419339148197840705296103238041512903134110631263792189<67>
2535618074861695477526155884291998519175671403992482425103587424791058763<73>
factorization results 素因数分解の結果
Number: 71119_157
N=25264910165290650509851238117231571124114862434002665400453091269791075424520683131999659561821303788450380878240060216801402515711719402207
  ( 140 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=9964004601390419339148197840705296103238041512903134110631263792189 (pp67)
 r2=2535618074861695477526155884291998519175671403992482425103587424791058763 (pp73)
Version: Msieve v. 1.43
Total time: 24.74 hours.
Scaled time: 21.77 units (timescale=0.880).
Factorization parameters were as follows:
n: 25264910165290650509851238117231571124114862434002665400453091269791075424520683131999659561821303788450380878240060216801402515711719402207
m: 20000000000000000000000000000000
deg: 5
c5: 200
c0: 71
skew: 0.81
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1550000, 2650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 518813 x 519045
Total sieving time: 23.40 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.62 hours.
Time per square root: 0.60 hours.
Prototype def-par.txt line would be:
snfs,158.000,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 24.74 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10166+719

c152

name 名前Sinkiti Sibata
date 日付December 18, 2009 06:09:11 UTC 2009 年 12 月 18 日 (金) 15 時 9 分 11 秒 (日本時間)
composite number 合成数
17772043705152750668618075206786427141878408477059419522437704603544996626585922137963280383978633254754888183355446140445126615312662697395867395470409<152>
prime factors 素因数
210228399327928377239219774246468321235282735719<48>
84536835945892939231027778594787388720995315395727328509256533229038199119074887652958622708169064322511<104>
factorization results 素因数分解の結果
Number: 71119_166
N=17772043705152750668618075206786427141878408477059419522437704603544996626585922137963280383978633254754888183355446140445126615312662697395867395470409
  ( 152 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=210228399327928377239219774246468321235282735719 (pp48)
 r2=84536835945892939231027778594787388720995315395727328509256533229038199119074887652958622708169064322511 (pp104)
Version: Msieve-1.40
Total time: 45.88 hours.
Scaled time: 153.20 units (timescale=3.339).
Factorization parameters were as follows:
name: 71119_166
n: 17772043705152750668618075206786427141878408477059419522437704603544996626585922137963280383978633254754888183355446140445126615312662697395867395470409
m: 2000000000000000000000000000000000
deg: 5
c5: 20
c0: 71
skew: 1.29
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2200000, 4600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 798327 x 798575
Total sieving time: 44.54 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.20 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,167.000,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 45.88 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
403e60 / 1357--
4511e6276 / 4474Dmitry DomanovNovember 21, 2009 19:26:29 UTC 2009 年 11 月 22 日 (日) 4 時 26 分 29 秒 (日本時間)

64×10169+719

c135

name 名前yoshida
date 日付December 4, 2009 08:20:29 UTC 2009 年 12 月 4 日 (金) 17 時 20 分 29 秒 (日本時間)
composite number 合成数
183121479420265074596121733676477661039260136718147327732153993537840141616263984935289849205491402729831141669703427209999368481464741<135>
prime factors 素因数
42975927797156758306397330649270731187983431<44>
4261024457333070002753304298392271984643501354942246382861680398744526579464959645375737011<91>
factorization results 素因数分解の結果
Number: 64x169p71
N=183121479420265074596121733676477661039260136718147327732153993537840141616263984935289849205491402729831141669703427209999368481464741
  ( 135 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=42975927797156758306397330649270731187983431 (pp44)
 r2=4261024457333070002753304298392271984643501354942246382861680398744526579464959645375737011 (pp91)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 149.69 hours.
Scaled time: 346.24 units (timescale=2.313).
Factorization parameters were as follows:
n: 183121479420265074596121733676477661039260136718147327732153993537840141616263984935289849205491402729831141669703427209999368481464741
m: 20000000000000000000000000000000000
c5: 1
c0: 355
skew: 3.24
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3000000, 7900001)
Primes: RFBsize:412849, AFBsize:412917, largePrimes:6595493 encountered
Relations: rels:7270557, finalFF:1290130
Max relations in full relation-set: 32
Initial matrix: 825830 x 1290130 with sparse part having weight 91072286.
Pruned matrix : 474578 x 478771 with weight 104728234.
Total sieving time: 146.62 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 2.86 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000
total time: 149.69 hours.
 --------- CPU info (if available) ----------
Intel(R) Xeon(R) CPU           E5450  @ 3.00GHz stepping 0a
Intel(R) Xeon(R) CPU           E5450  @ 3.00GHz stepping 0a
Intel(R) Xeon(R) CPU           E5450  @ 3.00GHz stepping 0a
Intel(R) Xeon(R) CPU           E5450  @ 3.00GHz stepping 0a
Intel(R) Xeon(R) CPU           E5450  @ 3.00GHz stepping 0a
Intel(R) Xeon(R) CPU           E5450  @ 3.00GHz stepping 0a
Intel(R) Xeon(R) CPU           E5450  @ 3.00GHz stepping 0a
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 32944636k/35127296k available (2460k kernel code, 603560k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5988.97 BogoMIPS (lpj=2994486)
Calibrating delay using timer specific routine.. 5985.01 BogoMIPS (lpj=2992506)
Calibrating delay using timer specific routine.. 5985.03 BogoMIPS (lpj=2992519)
Calibrating delay using timer specific routine.. 5985.06 BogoMIPS (lpj=2992533)
Calibrating delay using timer specific routine.. 5985.01 BogoMIPS (lpj=2992506)
Calibrating delay using timer specific routine.. 5985.01 BogoMIPS (lpj=2992507)
Calibrating delay using timer specific routine.. 5985.04 BogoMIPS (lpj=2992520)
Calibrating delay using timer specific routine.. 5984.89 BogoMIPS (lpj=2992449)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiOctober 26, 2009 00:42:01 UTC 2009 年 10 月 26 日 (月) 9 時 42 分 1 秒 (日本時間)

64×10171+719

c145

name 名前Sinkiti Sibata
date 日付April 25, 2010 11:51:20 UTC 2010 年 4 月 25 日 (日) 20 時 51 分 20 秒 (日本時間)
composite number 合成数
4155409942392559055784810356781102170152281076604428633878126523891796510385996751246373663456574704732333988290236899591944006815962138413525167<145>
prime factors 素因数
503452988613683137082178402917220700045230336683871910367<57>
8253819197369287234887000689355899294985133951114338357693025048094262494665245608004401<88>
factorization results 素因数分解の結果
Number: 71119_171
N=4155409942392559055784810356781102170152281076604428633878126523891796510385996751246373663456574704732333988290236899591944006815962138413525167
  ( 145 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=503452988613683137082178402917220700045230336683871910367 (pp57)
 r2=8253819197369287234887000689355899294985133951114338357693025048094262494665245608004401 (pp88)
Version: Msieve-1.40
Total time: 76.88 hours.
Scaled time: 229.26 units (timescale=2.982).
Factorization parameters were as follows:
name: 71119_171
n: 4155409942392559055784810356781102170152281076604428633878126523891796510385996751246373663456574704732333988290236899591944006815962138413525167
m: 20000000000000000000000000000000000
deg: 5
c5: 20
c0: 71
skew: 1.29
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2650000, 5950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 994930 x 995178
Total sieving time: 74.52 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.98 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 76.88 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiNovember 16, 2009 00:12:00 UTC 2009 年 11 月 16 日 (月) 9 時 12 分 0 秒 (日本時間)

64×10172+719

c85

name 名前Lionel Debroux
date 日付October 22, 2009 18:54:51 UTC 2009 年 10 月 23 日 (金) 3 時 54 分 51 秒 (日本時間)
composite number 合成数
2226308651034063875746538036419884476852225589307711032572873916862364437146965085661<85>
prime factors 素因数
338146457983804408117822558114121347<36>
6583859148809103810072706544327361794424594066463<49>
factorization results 素因数分解の結果
starting SIQS on c85: 2226308651034063875746538036419884476852225589307711032572873916862364437146965085661

==== sieve params ====
n = 87 digits, 287 bits
factor base: 55137 primes (max prime = 1449001)
single large prime cutoff: 137655095 (95 * pmax)
double large prime range from 42 to 49 bits
double large prime cutoff: 446504790620886
using 27 large prime slices of factor base
buckets hold 1024 elements
sieve interval: 7 blocks of size 65536
polynomial A has ~ 11 factors
using multiplier of 61
using small prime variation correction of 21 bits
using SSE2 for trial division and x128 sieve scanning
trial factoring cutoff at 93 bits

==== sieving in progress (1 thread):   55201 relations needed ====
====           Press ctrl-c to abort and save state           ====
55346 rels found: 21109 full + 34237 from 443418 partial, (414.95 rels/sec)
sieve time = 542.0653, relation time = 225.0556, poly_time = 425.8309
trial division touched 8721453 sieve locations out of 58844064907264
QS elapsed time = 1202.4044 seconds.

==== post processing stage (msieve-1.38) ====
begin with 464527 relations
reduce to 104232 relations in 7 passes
attempting to read 104232 relations
recovered 104232 relations
recovered 79138 polynomials
attempting to build 55346 cycles
found 55346 cycles in 4 passes
distribution of cycle lengths:
   length 1 : 21109
   length 2 : 17041
   length 3 : 9430
   length 4 : 4522
   length 5 : 1963
   length 6 : 775
   length 7 : 339
   length 9+: 167
largest cycle: 12 relations
seed1 = 3257297759, seed2 = 496421594
matrix is 55137 x 55346 (10.5 MB) with weight 2312373 (41.78/col)
sparse part has weight 2312373 (41.78/col)
filtering completed in 4 passes
matrix is 45917 x 45981 (9.0 MB) with weight 1993204 (43.35/col)
sparse part has weight 1993204 (43.35/col)
saving the first 48 matrix rows for later
matrix is 45869 x 45981 (7.8 MB) with weight 1684454 (36.63/col)
sparse part has weight 1591912 (34.62/col)
matrix includes 64 packed rows
using block size 18392 for processor cache size 4096 kB
commencing Lanczos iteration
memory use: 6.6 MB
lanczos halted after 727 iterations (dim = 45864)
recovered 14 nontrivial dependencies
Lanczos elapsed time = 17.7000 seconds.
Sqrt elapsed time = 1.4300 seconds.
SIQS elapsed time = 1222.1363 seconds.
ECM/SIQS ratio was = 0.301022

Total factoring time = 1605.5181 seconds


***factors found***

PRP49 = 6583859148809103810072706544327361794424594066463
PRP36 = 338146457983804408117822558114121347
software ソフトウェア
YAFU 1.12
execution environment 実行環境
Core 2 Duo T7200, 2 GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10174+719

c137

name 名前Ignacio Santos
date 日付June 7, 2010 21:55:17 UTC 2010 年 6 月 8 日 (火) 6 時 55 分 17 秒 (日本時間)
composite number 合成数
62401382041017079474366289916266555935300047837390931956378863966429722897577978429018629931728157475505021021515991521081688963820700719<137>
prime factors 素因数
10793042222066595549460515589537331<35>
composite cofactor 合成数の残り
5781630494638126934476305370373648084230282079042741165359621490605491390083126809692765263500231126549<103>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4121582872
Step 1 took 78547ms
Step 2 took 52010ms
********** Factor found in step 2: 10793042222066595549460515589537331
Found probable prime factor of 35 digits: 10793042222066595549460515589537331
Composite cofactor 5781630494638126934476305370373648084230282079042741165359621490605491390083126809692765263500231126549 has 103 digits
software ソフトウェア
GMP-ECM 6.2.3

c103

name 名前Dmitry Domanov
date 日付June 10, 2010 10:42:57 UTC 2010 年 6 月 10 日 (木) 19 時 42 分 57 秒 (日本時間)
composite number 合成数
5781630494638126934476305370373648084230282079042741165359621490605491390083126809692765263500231126549<103>
prime factors 素因数
92098003468071905859111381565940987793113<41>
62776936273569435907428719197579242088430808951832684530486173<62>
factorization results 素因数分解の結果
Number: t103
N=5781630494638126934476305370373648084230282079042741165359621490605491390083126809692765263500231126549
  ( 103 digits)
Divisors found:
 r1=92098003468071905859111381565940987793113 (pp41)
 r2=62776936273569435907428719197579242088430808951832684530486173 (pp62)
Version: Msieve-1.40
Total time: 5.69 hours.
Scaled time: 10.43 units (timescale=1.834).
Factorization parameters were as follows:
name: t103
n: 5781630494638126934476305370373648084230282079042741165359621490605491390083126809692765263500231126549
skew: 2763.26
# norm 3.51e+014
c5: 613440
c4: -2728702196
c3: -53128121021653
c2: 13697915116341445
c1: 63261719743618006319
c0: -21910274428426431443550
# alpha -6.03
Y1: 162317607973
Y0: -24823223355524521511
# Murphy_E 2.44e-009
# M 1785818948220446753711134573456554871673635091092801236983213598211337535996104305081601412891274280763
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 231549 x 231774
Polynomial selection time: 0.56 hours.
Total sieving time: 4.95 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 5.69 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
351e6450150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 9, 2010 21:37:33 UTC 2010 年 6 月 10 日 (木) 6 時 37 分 33 秒 (日本時間)
403e6111 / 21171Ignacio SantosJune 9, 2010 21:37:33 UTC 2010 年 6 月 10 日 (木) 6 時 37 分 33 秒 (日本時間)
110Ignacio SantosJune 9, 2010 21:37:44 UTC 2010 年 6 月 10 日 (木) 6 時 37 分 44 秒 (日本時間)
4511e632 / 4435Ignacio SantosJune 9, 2010 21:37:33 UTC 2010 年 6 月 10 日 (木) 6 時 37 分 33 秒 (日本時間)

64×10175+719

c147

name 名前Warut Roonguthai
date 日付October 16, 2011 11:21:10 UTC 2011 年 10 月 16 日 (日) 20 時 21 分 10 秒 (日本時間)
composite number 合成数
510700315138230252158459892232890520191073702618362918365699508081959927438457909965690845790370322716870094734618846911938096182287131277382401659<147>
prime factors 素因数
2350793931400910721259277284747837127552458678627160714287351<61>
217245888002564375562334066028071080701424221346819969867478163927052916825420731140509<87>
factorization results 素因数分解の結果
N = 510700315138230252158459892232890520191073702618362918365699508081959927438457909965690845790370322716870094734618846911938096182287131277382401659 (147 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=2350793931400910721259277284747837127552458678627160714287351 (pp61)
r2=217245888002564375562334066028071080701424221346819969867478163927052916825420731140509 (pp87)
Version: Msieve v. 1.48
Total time: 35.97 hours.
Factorization parameters were as follows:
name: (64*10^175+71)/9
n: 510700315138230252158459892232890520191073702618362918365699508081959927438457909965690845790370322716870094734618846911938096182287131277382401659
Y0: 200000000000000000000000000000000000
Y1: -1
c0: 71
c1: 0
c2: 0
c3: 0
c4: 0
c5: 2
skew: 2.04
type: snfs
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20863936
Relations: 2443520 relations
Pruned matrix : 1399411 x 1399638
Polynomial selection time: 0.00 hours.
Total sieving time: 33.29 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 2.43 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 35.97 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
403e61400200Rich DickersonDecember 18, 2010 05:34:12 UTC 2010 年 12 月 18 日 (土) 14 時 34 分 12 秒 (日本時間)
1200Erik BrangerAugust 11, 2011 16:44:31 UTC 2011 年 8 月 12 日 (金) 1 時 44 分 31 秒 (日本時間)
4511e64300300Rich DickersonFebruary 5, 2011 16:26:58 UTC 2011 年 2 月 6 日 (日) 1 時 26 分 58 秒 (日本時間)
4000Wataru SakaiAugust 21, 2011 05:00:39 UTC 2011 年 8 月 21 日 (日) 14 時 0 分 39 秒 (日本時間)

64×10176+719

c145

name 名前Warut Roonguthai
date 日付March 21, 2012 14:11:31 UTC 2012 年 3 月 21 日 (水) 23 時 11 分 31 秒 (日本時間)
composite number 合成数
6345868250580084125341393354932351454535087932844192871601744554093387743877094751881047408885004457478042992220783529373734993245836836198708477<145>
prime factors 素因数
1172638162169536890952854957489216789071588789371952817253046313599321<70>
5411616690726986127684084782481307658021786364059218118135179090377866221637<76>
factorization results 素因数分解の結果
N = 6345868250580084125341393354932351454535087932844192871601744554093387743877094751881047408885004457478042992220783529373734993245836836198708477 (145 digits)
SNFS difficulty: 178 digits.
Divisors found:
r1=1172638162169536890952854957489216789071588789371952817253046313599321 (pp70)
r2=5411616690726986127684084782481307658021786364059218118135179090377866221637 (pp76)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 23.74 hours.
Factorization parameters were as follows:
name: (64*10^176+71)/9
n: 6345868250580084125341393354932351454535087932844192871601744554093387743877094751881047408885004457478042992220783529373734993245836836198708477
Y0: 200000000000000000000000000000000000
Y1: -1
c0: 71
c1: 0
c2: 0
c3: 0
c4: 0
c5: 20
skew: 1.29
type: snfs
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20710707
Relations: 2679382 relations
Pruned matrix : 1519784 x 1520015
Polynomial selection time: 0.00 hours.
Total sieving time: 21.52 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 2.05 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,55,55,2.5,2.5,100000
total time: 23.74 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
403e61274120Rich DickersonFebruary 5, 2011 16:28:42 UTC 2011 年 2 月 6 日 (日) 1 時 28 分 42 秒 (日本時間)
1154Wataru SakaiOctober 24, 2011 00:57:42 UTC 2011 年 10 月 24 日 (月) 9 時 57 分 42 秒 (日本時間)
4511e64300300Rich DickersonFebruary 5, 2011 16:28:42 UTC 2011 年 2 月 6 日 (日) 1 時 28 分 42 秒 (日本時間)
4000Wataru SakaiNovember 28, 2011 13:30:51 UTC 2011 年 11 月 28 日 (月) 22 時 30 分 51 秒 (日本時間)

64×10178+719

c177

name 名前Ignacio Santos
date 日付November 17, 2009 12:48:00 UTC 2009 年 11 月 17 日 (火) 21 時 48 分 0 秒 (日本時間)
composite number 合成数
310528869480834546336729742843279961183891314895681707908782144590004852013585638039786511402231926249393498301795245026686074721009218825812712275594371664240659873847646773411<177>
prime factors 素因数
33350205132654546757222414370710831411<38>
9311153207174220903648886531701264110925845510393319781488890048252156953150920948299831365494816188137632384373019136801433203324125922001<139>
factorization results 素因数分解の結果
Number: 71119_178
N=310528869480834546336729742843279961183891314895681707908782144590004852013585638039786511402231926249393498301795245026686074721009218825812712275594371664240659873847646773411
  ( 177 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=33350205132654546757222414370710831411 (pp38)
 r2=9311153207174220903648886531701264110925845510393319781488890048252156953150920948299831365494816188137632384373019136801433203324125922001 (pp139)
Version: Msieve v. 1.43
Total time: 134.74 hours.
Scaled time: 234.99 units (timescale=1.744).
Factorization parameters were as follows:
n: 310528869480834546336729742843279961183891314895681707908782144590004852013585638039786511402231926249393498301795245026686074721009218825812712275594371664240659873847646773411
m: 400000000000000000000000000000000000
deg: 5
c5: 125
c0: 142
skew: 1.03
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3500000, 10100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1578565 x 1578790
Total sieving time: 130.38 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 3.56 hours.
Time per square root: 0.61 hours.
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,100000
total time: 134.74 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10179+719

c137

name 名前Dmitry Domanov
date 日付January 13, 2014 08:07:18 UTC 2014 年 1 月 13 日 (月) 17 時 7 分 18 秒 (日本時間)
composite number 合成数
69337281073878712502090589607156557310264897509650489387341943060519253156849263853492706729382434986520506050023359429017477917389306607<137>
prime factors 素因数
346543924721496476742161720133526934727494885289613307361592633499<66>
200082229488231018205978572841792360633901508976929312163237329300408893<72>
factorization results 素因数分解の結果
N=69337281073878712502090589607156557310264897509650489387341943060519253156849263853492706729382434986520506050023359429017477917389306607
  ( 137 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=346543924721496476742161720133526934727494885289613307361592633499 (pp66)
 r2=200082229488231018205978572841792360633901508976929312163237329300408893 (pp72)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 98.36 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 69337281073878712502090589607156557310264897509650489387341943060519253156849263853492706729382434986520506050023359429017477917389306607
m: 2000000000000000000000000000000000000
deg: 5
c5: 1
c0: 355
skew: 3.24
# Murphy_E = 1.105e-10
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3700000, 8500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1282070 x 1282304
Total sieving time: 96.48 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 1.55 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 98.36 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 22, 2011 09:21:45 UTC 2011 年 5 月 22 日 (日) 18 時 21 分 45 秒 (日本時間)
403e6110Ignacio SantosMay 22, 2011 09:21:45 UTC 2011 年 5 月 22 日 (日) 18 時 21 分 45 秒 (日本時間)
4511e663232Ignacio SantosMay 22, 2011 09:21:45 UTC 2011 年 5 月 22 日 (日) 18 時 21 分 45 秒 (日本時間)
600Rich DickersonJune 12, 2012 22:31:19 UTC 2012 年 6 月 13 日 (水) 7 時 31 分 19 秒 (日本時間)
5043e61050 / 7284Rich DickersonNovember 3, 2013 13:39:48 UTC 2013 年 11 月 3 日 (日) 22 時 39 分 48 秒 (日本時間)
5511e750 / 17354Rich DickersonNovember 3, 2013 13:39:48 UTC 2013 年 11 月 3 日 (日) 22 時 39 分 48 秒 (日本時間)

64×10180+719

c161

name 名前Ignacio Santos
date 日付May 22, 2011 09:21:05 UTC 2011 年 5 月 22 日 (日) 18 時 21 分 5 秒 (日本時間)
composite number 合成数
56099821435143803782690454722249761719649072507249305527283436769194329213912828472333125761118749458354225060560334631663125892726991216637998649015004507304387<161>
prime factors 素因数
15331798201103457848648098996141043747<38>
3659050340951278367684833209518452672986033204604245976932960723371537497604270377883957856875975472260711444414475500913121<124>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=398045296
Step 1 took 24929ms
Step 2 took 13229ms
********** Factor found in step 2: 15331798201103457848648098996141043747
Found probable prime factor of 38 digits: 15331798201103457848648098996141043747
Probable prime cofactor 3659050340951278367684833209518452672986033204604245976932960723371537497604270377883957856875975472260711444414475500913121 has 124 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--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10181+719

c161

name 名前Dmitry Domanov
date 日付January 13, 2014 08:07:52 UTC 2014 年 1 月 13 日 (月) 17 時 7 分 52 秒 (日本時間)
composite number 合成数
67642099252853219290997913164855122539493584903170400431318210505391763010635367345628826025377014324084631036166399411916681240608224537056317100574155864345559<161>
prime factors 素因数
2646738614423591138680379138544004474656395657125477075919<58>
25556773488788340361548650568676569505560419246408120550096143675708966892817527036185854279298503645561<104>
factorization results 素因数分解の結果
N=67642099252853219290997913164855122539493584903170400431318210505391763010635367345628826025377014324084631036166399411916681240608224537056317100574155864345559
  ( 161 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=2646738614423591138680379138544004474656395657125477075919 (pp58)
 r2=25556773488788340361548650568676569505560419246408120550096143675708966892817527036185854279298503645561 (pp104)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 137.62 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 67642099252853219290997913164855122539493584903170400431318210505391763010635367345628826025377014324084631036166399411916681240608224537056317100574155864345559
m: 2000000000000000000000000000000000000
deg: 5
c5: 20
c0: 71
skew: 1.29
# Murphy_E = 7.894e-11
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3900000, 10700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1517774 x 1517998
Total sieving time: 134.78 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.16 hours.
Time per square root: 0.46 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time: 137.62 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 22, 2011 09:22:46 UTC 2011 年 5 月 22 日 (日) 18 時 22 分 46 秒 (日本時間)
403e6110Ignacio SantosMay 22, 2011 09:22:46 UTC 2011 年 5 月 22 日 (日) 18 時 22 分 46 秒 (日本時間)
4511e61572 / 443532Ignacio SantosMay 22, 2011 09:22:46 UTC 2011 年 5 月 22 日 (日) 18 時 22 分 46 秒 (日本時間)
230Ignacio SantosOctober 1, 2013 20:43:44 UTC 2013 年 10 月 2 日 (水) 5 時 43 分 44 秒 (日本時間)
230Ignacio SantosOctober 13, 2013 13:29:17 UTC 2013 年 10 月 13 日 (日) 22 時 29 分 17 秒 (日本時間)
230Ignacio SantosOctober 16, 2013 22:17:25 UTC 2013 年 10 月 17 日 (木) 7 時 17 分 25 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:06:07 UTC 2013 年 11 月 9 日 (土) 2 時 6 分 7 秒 (日本時間)

64×10183+719

c171

name 名前Serge Batalov
date 日付October 23, 2009 06:13:02 UTC 2009 年 10 月 23 日 (金) 15 時 13 分 2 秒 (日本時間)
composite number 合成数
296600289313823458642047983378816079271546893409522988988718986490693356358065860976314145757727025710643317075967892468651909680606466732072149094543250947811962331896369<171>
prime factors 素因数
17301463376975847179315279150325763<35>
17143075290875582464063217144806230401728131829237471188559245402738466206829167056208532345413386033226412355136311495896727090101119163<137>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=238477675
Step 1 took 3528ms
Step 2 took 2501ms
********** Factor found in step 2: 17301463376975847179315279150325763
Found probable prime factor of 35 digits: 17301463376975847179315279150325763
Probable prime cofactor has 137 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10185+719

c162

name 名前Serge Batalov
date 日付October 23, 2009 06:19:41 UTC 2009 年 10 月 23 日 (金) 15 時 19 分 41 秒 (日本時間)
composite number 合成数
455616707019710869010730174415933679929428098647742275487953251929168991122867532490241454429941775533625437663749912474543381670487125848310654033634534778512379<162>
prime factors 素因数
40284292656009544724056072361587<32>
composite cofactor 合成数の残り
11310033687577798780951179717781239801201300667676599750525383725016871763434743855775671472835920548897294389560503214459333104217<131>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1330655251
Step 1 took 3552ms
Step 2 took 2400ms
********** Factor found in step 2: 40284292656009544724056072361587
Found probable prime factor of 32 digits: 40284292656009544724056072361587
Composite cofactor has 131 digits

c131

name 名前Wataru Sakai
date 日付October 30, 2009 11:02:26 UTC 2009 年 10 月 30 日 (金) 20 時 2 分 26 秒 (日本時間)
composite number 合成数
11310033687577798780951179717781239801201300667676599750525383725016871763434743855775671472835920548897294389560503214459333104217<131>
prime factors 素因数
9116432441824664823352631671213357<34>
composite cofactor 合成数の残り
1240620578252657138397677340020548602052064584196378623862760965588007134959583060094673085893981<97>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=630455973
Step 1 took 38243ms
Step 2 took 13952ms
********** Factor found in step 2: 9116432441824664823352631671213357
Found probable prime factor of 34 digits: 9116432441824664823352631671213357
Composite cofactor 1240620578252657138397677340020548602052064584196378623862760965588007134959583060094673085893981 has 97 digits
software ソフトウェア
GMP-ECM 6.2.1

c97

name 名前Sinkiti Sibata
date 日付October 31, 2009 04:10:22 UTC 2009 年 10 月 31 日 (土) 13 時 10 分 22 秒 (日本時間)
composite number 合成数
1240620578252657138397677340020548602052064584196378623862760965588007134959583060094673085893981<97>
prime factors 素因数
13226685334951086277235559910788997247553626789<47>
93796786332729755561282648937916873301551400163929<50>
factorization results 素因数分解の結果
Sat Oct 31 07:48:36 2009  Msieve v. 1.40
Sat Oct 31 07:48:36 2009  random seeds: 95692308 2fbe9ed9
Sat Oct 31 07:48:36 2009  factoring 1240620578252657138397677340020548602052064584196378623862760965588007134959583060094673085893981 (97 digits)
Sat Oct 31 07:48:37 2009  no P-1/P+1/ECM available, skipping
Sat Oct 31 07:48:37 2009  commencing quadratic sieve (97-digit input)
Sat Oct 31 07:48:37 2009  using multiplier of 1
Sat Oct 31 07:48:37 2009  using 32kb Intel Core sieve core
Sat Oct 31 07:48:37 2009  sieve interval: 36 blocks of size 32768
Sat Oct 31 07:48:37 2009  processing polynomials in batches of 6
Sat Oct 31 07:48:37 2009  using a sieve bound of 2319689 (85882 primes)
Sat Oct 31 07:48:37 2009  using large prime bound of 347953350 (28 bits)
Sat Oct 31 07:48:37 2009  using double large prime bound of 2369942626511550 (43-52 bits)
Sat Oct 31 07:48:37 2009  using trial factoring cutoff of 52 bits
Sat Oct 31 07:48:37 2009  polynomial 'A' values have 12 factors
Sat Oct 31 12:43:57 2009  86053 relations (20821 full + 65232 combined from 1294325 partial), need 85978
Sat Oct 31 12:43:58 2009  begin with 1315146 relations
Sat Oct 31 12:43:58 2009  reduce to 225963 relations in 11 passes
Sat Oct 31 12:43:58 2009  attempting to read 225963 relations
Sat Oct 31 12:44:00 2009  recovered 225963 relations
Sat Oct 31 12:44:00 2009  recovered 211772 polynomials
Sat Oct 31 12:44:00 2009  attempting to build 86053 cycles
Sat Oct 31 12:44:00 2009  found 86053 cycles in 6 passes
Sat Oct 31 12:44:00 2009  distribution of cycle lengths:
Sat Oct 31 12:44:00 2009     length 1 : 20821
Sat Oct 31 12:44:00 2009     length 2 : 14726
Sat Oct 31 12:44:00 2009     length 3 : 14389
Sat Oct 31 12:44:00 2009     length 4 : 11723
Sat Oct 31 12:44:00 2009     length 5 : 8681
Sat Oct 31 12:44:00 2009     length 6 : 6191
Sat Oct 31 12:44:00 2009     length 7 : 3942
Sat Oct 31 12:44:00 2009     length 9+: 5580
Sat Oct 31 12:44:00 2009  largest cycle: 21 relations
Sat Oct 31 12:44:00 2009  matrix is 85882 x 86053 (23.8 MB) with weight 5898371 (68.54/col)
Sat Oct 31 12:44:00 2009  sparse part has weight 5898371 (68.54/col)
Sat Oct 31 12:44:01 2009  filtering completed in 3 passes
Sat Oct 31 12:44:01 2009  matrix is 82214 x 82278 (22.9 MB) with weight 5679157 (69.02/col)
Sat Oct 31 12:44:01 2009  sparse part has weight 5679157 (69.02/col)
Sat Oct 31 12:44:01 2009  saving the first 48 matrix rows for later
Sat Oct 31 12:44:01 2009  matrix is 82166 x 82278 (16.5 MB) with weight 4746522 (57.69/col)
Sat Oct 31 12:44:01 2009  sparse part has weight 3827985 (46.53/col)
Sat Oct 31 12:44:01 2009  matrix includes 64 packed rows
Sat Oct 31 12:44:01 2009  using block size 32911 for processor cache size 8192 kB
Sat Oct 31 12:44:01 2009  commencing Lanczos iteration
Sat Oct 31 12:44:01 2009  memory use: 14.7 MB
Sat Oct 31 12:44:26 2009  lanczos halted after 1301 iterations (dim = 82164)
Sat Oct 31 12:44:26 2009  recovered 16 nontrivial dependencies
Sat Oct 31 12:44:27 2009  prp47 factor: 13226685334951086277235559910788997247553626789
Sat Oct 31 12:44:27 2009  prp50 factor: 93796786332729755561282648937916873301551400163929
Sat Oct 31 12:44:27 2009  elapsed time 04:55:51

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10186+719

c185

name 名前Dmitry Domanov
date 日付December 6, 2009 22:52:46 UTC 2009 年 12 月 7 日 (月) 7 時 52 分 46 秒 (日本時間)
composite number 合成数
21746517159361196058443764865783214407067618076792388718994223581379544682296975874957526333673122663948352021746517159361196058443764865783214407067618076792388718994223581379544682297<185>
prime factors 素因数
3527800058195301401987694858738253841359278843815495535890073943442102681<73>
6164328136693197517668216069637997130903302377698948344739122252464657975521632190630163982737623010865444415137<112>
factorization results 素因数分解の結果
N=21746517159361196058443764865783214407067618076792388718994223581379544682296975874957526333673122663948352021746517159361196058443764865783214407067618076792388718994223581379544682297
  ( 185 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=3527800058195301401987694858738253841359278843815495535890073943442102681 (pp73)
 r2=6164328136693197517668216069637997130903302377698948344739122252464657975521632190630163982737623010865444415137 (pp112)
Version: Msieve-1.40
Total time: 242.25 hours.
Scaled time: 444.28 units (timescale=1.834).
Factorization parameters were as follows:
n: 21746517159361196058443764865783214407067618076792388718994223581379544682296975874957526333673122663948352021746517159361196058443764865783214407067618076792388718994223581379544682297
m: 20000000000000000000000000000000000000
deg: 5
c5: 20
c0: 71
skew: 1.29
type: snfs
lss: 1
rlim: 9400000
alim: 9400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 200000Factor base limits: 9400000/9400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4700000, 8900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1945351 x 1945576
Total sieving time: 236.87 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 4.89 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,187.000,5,0,0,0,0,0,0,0,0,9400000,9400000,28,28,54,54,2.5,2.5,100000
total time: 242.25 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
403e6688Wataru SakaiNovember 10, 2009 07:09:53 UTC 2009 年 11 月 10 日 (火) 16 時 9 分 53 秒 (日本時間)
4511e6686 / 4321Dmitry DomanovNovember 13, 2009 14:55:15 UTC 2009 年 11 月 13 日 (金) 23 時 55 分 15 秒 (日本時間)

64×10187+719

c188

name 名前Dmitry Domanov
date 日付October 26, 2009 04:51:02 UTC 2009 年 10 月 26 日 (月) 13 時 51 分 2 秒 (日本時間)
composite number 合成数
71111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119<188>
prime factors 素因数
7275715586058467200945112931785663485369<40>
composite cofactor 合成数の残り
9773761806656149658840124430630023407923748725432364869224515384214314070359484134600992488023678710746726151284389176767268774084013256015079671751<148>
factorization results 素因数分解の結果
Factor=7275715586058467200945112931785663485369  Method=ECM  B1=11000000  Sigma=3065088127
software ソフトウェア
ECMNET

c148

name 名前Bob Backstrom
date 日付November 20, 2017 18:25:07 UTC 2017 年 11 月 21 日 (火) 3 時 25 分 7 秒 (日本時間)
composite number 合成数
9773761806656149658840124430630023407923748725432364869224515384214314070359484134600992488023678710746726151284389176767268774084013256015079671751<148>
prime factors 素因数
75766108786625484546708685861908815232641584651145493758105899901<65>
128999125904449912329538317978437608794573352410616638336294325206739215677004456851<84>
factorization results 素因数分解の結果
This is the CADO-NFS factorization of 7111111....1111119 (64*10^187+71)/9, C148. Four files: cado-s (cmd file) parameters, poly and log.
I didn't redirect output to a file, so only did a screen copy and paste into the log file afterwards.
The Terminal rewind only went 10,000 lines.

FILE: cado-s

#!/bin/bash

cado-nfs.py snfs.parameters 'slaves.hostnames=localhost,localhost,localhost,localhost,localhost,localhost,localhost,localhost,localhost,localhost,localhost,localhost,localhost,localhost,localhost,localhost'


FILE: snfs.parameters

# A file for an SNFS factorization

name = snfs
N = 9773761806656149658840124430630023407923748725432364869224515384214314070359484134600992488023678710746726151284389176767268774084013256015079671751

# lim0 = 2300000
lim0 = 9800000
# lim1 = 1200000
lim1 = 9800000
# lpb0 = 26
lpb0 = 28
# lpb1 = 26
lpb1 = 28

# We supply the SNFS polynomial, so we don't want any polynomial selection
# to happen. To this effect we set admin and admax both to 0. Note that
# if the factorization is interrupted and restarted, they must still both
# be set to 0, or the restarted run will happily run polynomial selection
# from where it left off (i.e., at 0) up to the new admax.

tasks.polyselect.admin = 0
tasks.polyselect.admax = 0
tasks.polyselect.adrange = 0

# This instructs the polyselect task to import the polynomial in the file
# F9.poly. Imported polynomials are treated like any other polynomial found
# during polyselect: they are added to the list of candidate polynomials
# from which the one with the best Murphy E value will be chosen. If no
# Murphy E value is specified in the imported file, it is assumed to be 0,
# simply because cadofactor currently can't compute E for a given polynomial.
# Thus if there is no Murphy E value in the imported file and the polynomial
# search range [admin, admax] is not empty, then polynomial selection will
# probably find some polynomial with Murphy E > 0 and use that one instead
# of the imported polynomial.

tasks.polyselect.import = snfs.poly

# Sieving parameters which seem ok for this number.
# For SNFS numbers, choosing sieving parameters is a bit trickier than for
# GNFS, because they depend on more than just the input number size. For
# example, using an algebraic factor in the number may force using a somewhat
# larger or smaller degree (say, 6 or 4) than one would like. The
# algebraic polynomial might have only very small coefficients, or might
# contain a large coefficient or two... and without knowing how large the
# norms on the two sides are, one cannot suggest good sieving parameters.
# These parameters happen to work alright for F9, though.

tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.1
tasks.sieve.lambda1 = 2.2
tasks.I = 12
tasks.sieve.qmin = 2000000
tasks.sieve.qrange = 5000
tasks.sieve.sqside = 0

# linear algebra
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50


FILE: snfs.poly

n: 9773761806656149658840124430630023407923748725432364869224515384214314070359484134600992488023678710746726151284389176767268774084013256015079671751
skew: 1.0
c5: 200
c0: 71
Y1: 1
Y0: -20000000000000000000000000000000000000


FILE: snfs.log

...
Info:Lattice Sieving: Adding workunit snfs_sieving_26135000-26140000 to database
Info:Lattice Sieving: Found 2649 relations in '/tmp/cado.b80x4gvp/snfs.upload/snfs.26010000-26015000.60fqrvd6.gz', total is now 17272694/22129742
Info:Lattice Sieving: Marking workunit snfs_sieving_26010000-26015000 as ok (78.1% => ETA Tue Nov 21 01:32:36 2017)
Info:HTTP server: 127.0.0.1 Sending workunit snfs_sieving_26090000-26095000 to client localhost+16
Info:Lattice Sieving: Adding workunit snfs_sieving_26140000-26145000 to database
Info:Lattice Sieving: Found 2681 relations in '/tmp/cado.b80x4gvp/snfs.upload/snfs.26000000-26005000.z4rq862o.gz', total is now 17275375/22129742
Info:Lattice Sieving: Marking workunit snfs_sieving_26000000-26005000 as ok (78.1% => ETA Tue Nov 21 01:32:38 2017)
Info:HTTP server: 127.0.0.1 Sending workunit snfs_sieving_26095000-26100000 to client localhost+14
Info:Lattice Sieving: Found 2692 relations in '/tmp/cado.b80x4gvp/snfs.upload/snfs.26015000-26020000.y_jpmugv.gz', total is now 17278067/22129742
Info:Lattice Sieving: Marking workunit snfs_sieving_26015000-26020000 as ok (78.1% => ETA Tue Nov 21 01:32:39 2017)
Info:Lattice Sieving: Adding workunit snfs_sieving_26145000-26150000 to database
Info:HTTP server: 127.0.0.1 Sending workunit snfs_sieving_26100000-26105000 to client localhost
Info:Lattice Sieving: Adding workunit snfs_sieving_26150000-26155000 to database
Info:Lattice Sieving: Found 2559 relations in '/tmp/cado.b80x4gvp/snfs.upload/snfs.26020000-26025000.0b6qe978.gz', total is now 17280626/22129742
Info:Lattice Sieving: Marking workunit snfs_sieving_26020000-26025000 as ok (78.1% => ETA Tue Nov 21 01:32:36 2017)
Info:HTTP server: 127.0.0.1 Sending workunit snfs_sieving_26105000-26110000 to client localhost+7
Info:Lattice Sieving: Adding workunit snfs_sieving_26155000-26160000 to database
Info:Lattice Sieving: Found 2730 relations in '/tmp/cado.b80x4gvp/snfs.upload/snfs.26025000-26030000.sbjrem12.gz', total is now 17283356/22129742
Info:Lattice Sieving: Marking workunit snfs_sieving_26025000-26030000 as ok (78.1% => ETA Tue Nov 21 01:32:36 2017)
Info:HTTP server: 127.0.0.1 Sending workunit snfs_sieving_26110000-26115000 to client localhost+2
Info:Lattice Sieving: Adding workunit snfs_sieving_26160000-26165000 to database
Info:Lattice Sieving: Found 2828 relations in '/tmp/cado.b80x4gvp/snfs.upload/snfs.26030000-26035000.jp3fn9gc.gz', total is now 17286184/22129742
Info:Lattice Sieving: Marking workunit snfs_sieving_26030000-26035000 as ok (78.1% => ETA Tue Nov 21 01:32:56 2017)
Info:HTTP server: 127.0.0.1 Sending workunit snfs_sieving_26115000-26120000 to client localhost+9
Info:Lattice Sieving: Adding workunit snfs_sieving_26165000-26170000 to database
Info:Lattice Sieving: Found 2641 relations in '/tmp/cado.b80x4gvp/snfs.upload/snfs.26040000-26045000.f4t98cpj.gz', total is now 17288825/22129742
Info:Lattice Sieving: Marking workunit snfs_sieving_26040000-26045000 as ok (78.1% => ETA Tue Nov 21 01:33:01 2017)
Info:HTTP server: 127.0.0.1 Sending workunit snfs_sieving_26120000-26125000 to client localhost+5
Info:Lattice Sieving: Adding workunit snfs_sieving_26170000-26175000 to database
Info:Lattice Sieving: Found 2772 relations in '/tmp/cado.b80x4gvp/snfs.upload/snfs.26035000-26040000.h3943eq3.gz', total is now 17291597/22129742
Info:Lattice Sieving: Marking workunit snfs_sieving_26035000-26040000 as ok (78.1% => ETA Tue Nov 21 01:32:55 2017)
Info:HTTP server: 127.0.0.1 Sending workunit snfs_sieving_26125000-26130000 to client localhost+15
Info:Lattice Sieving: Adding workunit snfs_sieving_26175000-26180000 to database
Info:Lattice Sieving: Found 2594 relations in '/tmp/cado.b80x4gvp/snfs.upload/snfs.26045000-26050000.01i24f4k.gz', total is now 17294191/22129742
Info:Lattice Sieving: Marking workunit snfs_sieving_26045000-26050000 as ok (78.1% => ETA Tue Nov 21 01:32:58 2017)
Info:HTTP server: 127.0.0.1 Sending workunit snfs_sieving_26130000-26135000 to client localhost+12
Info:Lattice Sieving: Adding workunit snfs_sieving_26180000-26185000 to database
Info:Lattice Sieving: Found 2688 relations in '/tmp/cado.b80x4gvp/snfs.upload/snfs.26050000-26055000.d2uvc8gs.gz', total is now 17296879/22129742
Info:Lattice Sieving: Marking workunit snfs_sieving_26050000-26055000 as ok (78.2% => ETA Tue Nov 21 01:33:06 2017)
Info:HTTP server: 127.0.0.1 Sending workunit snfs_sieving_26135000-26140000 to client localhost+4
Info:Lattice Sieving: Adding workunit snfs_sieving_26185000-26190000 to database
Info:Lattice Sieving: Found 2607 relations in '/tmp/cado.b80x4gvp/snfs.upload/snfs.26060000-26065000.0i2npy2e.gz', total is now 17299486/22129742
Info:Lattice Sieving: Marking workunit snfs_sieving_26060000-26065000 as ok (78.2% => ETA Tue Nov 21 01:33:11 2017)
Info:HTTP server: 127.0.0.1 Sending workunit snfs_sieving_26140000-26145000 to client localhost+8
Info:Lattice Sieving: Adding workunit snfs_sieving_26190000-26195000 to database
Info:Lattice Sieving: Found 2631 relations in '/tmp/cado.b80x4gvp/snfs.upload/snfs.26065000-26070000.ifeljsgd.gz', total is now 17302117/22129742
Info:Lattice Sieving: Marking workunit snfs_sieving_26065000-26070000 as ok (78.2% => ETA Tue Nov 21 01:33:09 2017)
Info:HTTP server: 127.0.0.1 Sending workunit snfs_sieving_26145000-26150000 to client localhost+13
...
Info:Linear Algebra: mksol: N=26400 ; ETA (N=29400): Tue Nov 21 04:51:57 2017 [0.070 s/iter]
Info:Linear Algebra: mksol: N=26600 ; ETA (N=29400): Tue Nov 21 04:51:57 2017 [0.070 s/iter]
Info:Linear Algebra: mksol: N=26800 ; ETA (N=29400): Tue Nov 21 04:51:57 2017 [0.070 s/iter]
Info:Linear Algebra: mksol: N=27000 ; ETA (N=29400): Tue Nov 21 04:51:57 2017 [0.070 s/iter]
Info:Linear Algebra: mksol: N=27200 ; ETA (N=29400): Tue Nov 21 04:51:57 2017 [0.070 s/iter]
Info:Linear Algebra: mksol: N=27400 ; ETA (N=29400): Tue Nov 21 04:51:57 2017 [0.070 s/iter]
Info:Linear Algebra: mksol: N=27600 ; ETA (N=29400): Tue Nov 21 04:51:57 2017 [0.070 s/iter]
Info:Linear Algebra: mksol: N=27800 ; ETA (N=29400): Tue Nov 21 04:51:57 2017 [0.070 s/iter]
Info:Linear Algebra: mksol: N=28000 ; ETA (N=29400): Tue Nov 21 04:51:57 2017 [0.070 s/iter]
Info:Linear Algebra: mksol: N=28200 ; ETA (N=29400): Tue Nov 21 04:51:57 2017 [0.070 s/iter]
Info:Linear Algebra: mksol: N=28400 ; ETA (N=29400): Tue Nov 21 04:51:55 2017 [0.070 s/iter]
Info:Linear Algebra: mksol: N=28600 ; ETA (N=29400): Tue Nov 21 04:51:55 2017 [0.070 s/iter]
Info:Linear Algebra: mksol: N=28800 ; ETA (N=29400): Tue Nov 21 04:51:55 2017 [0.070 s/iter]
Info:Linear Algebra: mksol: N=29000 ; ETA (N=29400): Tue Nov 21 04:51:55 2017 [0.070 s/iter]
Info:Linear Algebra: mksol: N=29200 ; ETA (N=29400): Tue Nov 21 04:51:55 2017 [0.070 s/iter]
Info:Linear Algebra: mksol: N=29400 ; ETA (N=29400): Tue Nov 21 04:51:56 2017 [0.070 s/iter]
Info:Quadratic Characters: Starting
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 128999125904449912329538317978437608794573352410616638336294325206739215677004456851 75766108786625484546708685861908815232641584651145493758105899901
Info:Generate Factor Base: Total cpu/real time for makefb: 5.21/0.784968
Info:Generate Free Relations: Total cpu/real time for freerel: 94.44/6.41479
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23112927
Info:Lattice Sieving: Average J: 1892.96 for 2153938 special-q, max bucket fill: 0.798565
Info:Lattice Sieving: Total CPU time: 761768s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 66.26/104.841
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 104.39999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 434.14/255.46
Info:Filtering - Singleton removal: Total cpu/real time for purge: 288.95/228.352
Info:Filtering - Merging: Total cpu/real time for merge: 287.79/229.269
Info:Filtering - Merging: Total cpu/real time for replay: 45.8/34.7716
Info:Linear Algebra: Total cpu/real time for bwc: 75719.2/0.000326872
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 3546.83
Info:Linear Algebra: Lingen CPU time 495.91, WCT time 48.72
Info:Linear Algebra: Mksol: WCT time 2059.67
Info:Quadratic Characters: Total cpu/real time for characters: 64.02/14.7806
Info:Square Root: Total cpu/real time for sqrt: 1213.54/187.368
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 839987/55444.5
Info:root: CADO_DEBUG is on, data kept in /tmp/cado.b80x4gvp
128999125904449912329538317978437608794573352410616638336294325206739215677004456851 75766108786625484546708685861908815232641584651145493758105899901
/home/bob/cado-nfs> 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
403e60--
4511e61000 / 4474700Dmitry DomanovOctober 26, 2009 04:50:52 UTC 2009 年 10 月 26 日 (月) 13 時 50 分 52 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:26 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 26 秒 (日本時間)

64×10188+719

c160

name 名前Dmitry Domanov
date 日付March 14, 2014 05:57:20 UTC 2014 年 3 月 14 日 (金) 14 時 57 分 20 秒 (日本時間)
composite number 合成数
1089297169544361913854238911483200520403960850345241838987944858594334811025121924073771727461498383614662698899409276298867194596910825185248293212549784015997<160>
prime factors 素因数
380685919826497581587799227637536783<36>
composite cofactor 合成数の残り
2861406510755172829955671534331176516742220369882071528807151545830975960558635149413032010820311302744067940691378908372659<124>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2416766300
Step 1 took 71540ms
Step 2 took 25959ms
********** Factor found in step 2: 380685919826497581587799227637536783
Found probable prime factor of 36 digits: 380685919826497581587799227637536783
Composite cofactor 2861406510755172829955671534331176516742220369882071528807151545830975960558635149413032010820311302744067940691378908372659 has 124 digits

c124

name 名前Cyp
date 日付March 17, 2014 14:25:29 UTC 2014 年 3 月 17 日 (月) 23 時 25 分 29 秒 (日本時間)
composite number 合成数
2861406510755172829955671534331176516742220369882071528807151545830975960558635149413032010820311302744067940691378908372659<124>
prime factors 素因数
72244650595242574184827822036519277494030663<44>
39607174886711972363359374525557022332218189297656150062712395685086493515767093<80>
factorization results 素因数分解の結果
03/17/14 07:24:47 v1.34.3, 
03/17/14 07:24:47 v1.34.3, ****************************
03/17/14 07:24:47 v1.34.3, Starting factorization of 2861406510755172829955671534331176516742220369882071528807151545830975960558635149413032010820311302744067940691378908372659
03/17/14 07:24:47 v1.34.3, using pretesting plan: none
03/17/14 07:24:47 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
03/17/14 07:24:47 v1.34.3, ****************************
03/17/14 07:24:47 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C124
03/17/14 07:24:47 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C124
03/17/14 07:24:47 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C124
03/17/14 07:24:47 v1.34.3, final ECM pretested depth: 0.00
03/17/14 07:24:47 v1.34.3, scheduler: switching to sieve method
03/17/14 07:24:47 v1.34.3, nfs: commencing nfs on c124: 2861406510755172829955671534331176516742220369882071528807151545830975960558635149413032010820311302744067940691378908372659
03/17/14 07:24:47 v1.34.3, nfs: commencing poly selection with 8 threads
03/17/14 07:24:47 v1.34.3, nfs: setting deadline of 3070 seconds
03/17/14 08:18:51 v1.34.3, nfs: completed 277 ranges of size 250 in 3243.6006 seconds
03/17/14 08:18:51 v1.34.3, nfs: best poly = # norm 8.062265e-12 alpha -6.857268 e 1.768e-10 rroots 3
03/17/14 08:18:51 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/17/14 08:24:59 v1.34.3, nfs: commencing lattice sieving with 8 threads
[54 lines snipped]
03/17/14 13:52:04 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/17/14 13:58:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/17/14 14:04:04 v1.34.3, nfs: commencing msieve filtering
03/17/14 14:05:49 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/17/14 14:11:49 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/17/14 14:17:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/17/14 14:23:55 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/17/14 14:29:57 v1.34.3, nfs: commencing msieve filtering
03/17/14 14:31:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/17/14 14:37:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/17/14 14:43:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/17/14 14:49:59 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/17/14 14:56:10 v1.34.3, nfs: commencing msieve filtering
03/17/14 14:58:30 v1.34.3, nfs: commencing msieve linear algebra
03/17/14 15:19:35 v1.34.3, nfs: commencing msieve sqrt
03/17/14 15:25:28 v1.34.3, prp80 = 39607174886711972363359374525557022332218189297656150062712395685086493515767093
03/17/14 15:25:28 v1.34.3, prp44 = 72244650595242574184827822036519277494030663
03/17/14 15:25:28 v1.34.3, NFS elapsed time = 28840.6100 seconds.
03/17/14 15:25:28 v1.34.3, 
03/17/14 15:25:28 v1.34.3, 
03/17/14 15:25:28 v1.34.3, Total factoring time = 28840.6477 seconds
--
Mon Mar 17 14:04:04 2014  
Mon Mar 17 14:04:04 2014  commencing relation filtering
Mon Mar 17 14:04:04 2014  estimated available RAM is 15988.7 MB
Mon Mar 17 14:04:04 2014  commencing duplicate removal, pass 1
Mon Mar 17 14:04:39 2014  found 1198197 hash collisions in 10116281 relations
Mon Mar 17 14:04:49 2014  added 62708 free relations
Mon Mar 17 14:04:49 2014  commencing duplicate removal, pass 2
Mon Mar 17 14:04:58 2014  found 689458 duplicates and 9489531 unique relations
Mon Mar 17 14:04:58 2014  memory use: 41.3 MB
Mon Mar 17 14:04:58 2014  reading ideals above 100000
Mon Mar 17 14:04:58 2014  commencing singleton removal, initial pass
Mon Mar 17 14:05:43 2014  memory use: 344.5 MB
Mon Mar 17 14:05:43 2014  reading all ideals from disk
Mon Mar 17 14:05:43 2014  memory use: 343.6 MB
Mon Mar 17 14:05:44 2014  keeping 10918018 ideals with weight <= 200, target excess is 48687
Mon Mar 17 14:05:44 2014  commencing in-memory singleton removal
Mon Mar 17 14:05:45 2014  begin with 9489531 relations and 10918018 unique ideals
Mon Mar 17 14:05:49 2014  reduce to 2812611 relations and 2970135 ideals in 26 passes
Mon Mar 17 14:05:49 2014  max relations containing the same ideal: 91
Mon Mar 17 14:29:57 2014  
Mon Mar 17 14:29:57 2014  commencing relation filtering
Mon Mar 17 14:29:57 2014  estimated available RAM is 15988.7 MB
Mon Mar 17 14:29:57 2014  commencing duplicate removal, pass 1
Mon Mar 17 14:30:33 2014  found 1346366 hash collisions in 10856393 relations
Mon Mar 17 14:30:44 2014  added 84 free relations
Mon Mar 17 14:30:44 2014  commencing duplicate removal, pass 2
Mon Mar 17 14:30:53 2014  found 772210 duplicates and 10084267 unique relations
Mon Mar 17 14:30:53 2014  memory use: 41.3 MB
Mon Mar 17 14:30:53 2014  reading ideals above 720000
Mon Mar 17 14:30:53 2014  commencing singleton removal, initial pass
Mon Mar 17 14:31:38 2014  memory use: 344.5 MB
Mon Mar 17 14:31:38 2014  reading all ideals from disk
Mon Mar 17 14:31:38 2014  memory use: 294.9 MB
Mon Mar 17 14:31:39 2014  commencing in-memory singleton removal
Mon Mar 17 14:31:39 2014  begin with 10084267 relations and 11110211 unique ideals
Mon Mar 17 14:31:43 2014  reduce to 3685665 relations and 3586118 ideals in 22 passes
Mon Mar 17 14:31:43 2014  max relations containing the same ideal: 71
Mon Mar 17 14:56:10 2014  
Mon Mar 17 14:56:10 2014  commencing relation filtering
Mon Mar 17 14:56:10 2014  estimated available RAM is 15988.7 MB
Mon Mar 17 14:56:10 2014  commencing duplicate removal, pass 1
Mon Mar 17 14:56:49 2014  found 1495158 hash collisions in 11544850 relations
Mon Mar 17 14:56:59 2014  added 58 free relations
Mon Mar 17 14:56:59 2014  commencing duplicate removal, pass 2
Mon Mar 17 14:57:09 2014  found 860182 duplicates and 10684726 unique relations
Mon Mar 17 14:57:09 2014  memory use: 41.3 MB
Mon Mar 17 14:57:09 2014  reading ideals above 720000
Mon Mar 17 14:57:09 2014  commencing singleton removal, initial pass
Mon Mar 17 14:57:57 2014  memory use: 344.5 MB
Mon Mar 17 14:57:57 2014  reading all ideals from disk
Mon Mar 17 14:57:57 2014  memory use: 312.6 MB
Mon Mar 17 14:57:57 2014  commencing in-memory singleton removal
Mon Mar 17 14:57:58 2014  begin with 10684726 relations and 11352632 unique ideals
Mon Mar 17 14:58:02 2014  reduce to 4544276 relations and 4213657 ideals in 18 passes
Mon Mar 17 14:58:02 2014  max relations containing the same ideal: 78
Mon Mar 17 14:58:03 2014  removing 756297 relations and 658249 ideals in 98048 cliques
Mon Mar 17 14:58:03 2014  commencing in-memory singleton removal
Mon Mar 17 14:58:03 2014  begin with 3787979 relations and 4213657 unique ideals
Mon Mar 17 14:58:05 2014  reduce to 3681715 relations and 3446165 ideals in 9 passes
Mon Mar 17 14:58:05 2014  max relations containing the same ideal: 69
Mon Mar 17 14:58:06 2014  removing 570307 relations and 472259 ideals in 98048 cliques
Mon Mar 17 14:58:06 2014  commencing in-memory singleton removal
Mon Mar 17 14:58:06 2014  begin with 3111408 relations and 3446165 unique ideals
Mon Mar 17 14:58:07 2014  reduce to 3035721 relations and 2896131 ideals in 10 passes
Mon Mar 17 14:58:07 2014  max relations containing the same ideal: 61
Mon Mar 17 14:58:08 2014  relations with 0 large ideals: 486
Mon Mar 17 14:58:08 2014  relations with 1 large ideals: 2694
Mon Mar 17 14:58:08 2014  relations with 2 large ideals: 36527
Mon Mar 17 14:58:08 2014  relations with 3 large ideals: 198520
Mon Mar 17 14:58:08 2014  relations with 4 large ideals: 558497
Mon Mar 17 14:58:08 2014  relations with 5 large ideals: 875877
Mon Mar 17 14:58:08 2014  relations with 6 large ideals: 798110
Mon Mar 17 14:58:08 2014  relations with 7+ large ideals: 565010
Mon Mar 17 14:58:08 2014  commencing 2-way merge
Mon Mar 17 14:58:09 2014  reduce to 1759535 relation sets and 1619946 unique ideals
Mon Mar 17 14:58:09 2014  ignored 1 oversize relation sets
Mon Mar 17 14:58:09 2014  commencing full merge
Mon Mar 17 14:58:24 2014  memory use: 184.5 MB
Mon Mar 17 14:58:24 2014  found 881970 cycles, need 860146
Mon Mar 17 14:58:24 2014  weight of 860146 cycles is about 60216137 (70.01/cycle)
Mon Mar 17 14:58:24 2014  distribution of cycle lengths:
Mon Mar 17 14:58:24 2014  1 relations: 108778
Mon Mar 17 14:58:24 2014  2 relations: 100094
Mon Mar 17 14:58:24 2014  3 relations: 98225
Mon Mar 17 14:58:24 2014  4 relations: 87288
Mon Mar 17 14:58:24 2014  5 relations: 79999
Mon Mar 17 14:58:24 2014  6 relations: 68049
Mon Mar 17 14:58:24 2014  7 relations: 60601
Mon Mar 17 14:58:24 2014  8 relations: 52144
Mon Mar 17 14:58:24 2014  9 relations: 44402
Mon Mar 17 14:58:24 2014  10+ relations: 160566
Mon Mar 17 14:58:24 2014  heaviest cycle: 19 relations
Mon Mar 17 14:58:24 2014  commencing cycle optimization
Mon Mar 17 14:58:25 2014  start with 4996745 relations
Mon Mar 17 14:58:29 2014  pruned 110541 relations
Mon Mar 17 14:58:29 2014  memory use: 169.6 MB
Mon Mar 17 14:58:29 2014  distribution of cycle lengths:
Mon Mar 17 14:58:29 2014  1 relations: 108778
Mon Mar 17 14:58:29 2014  2 relations: 102346
Mon Mar 17 14:58:29 2014  3 relations: 101492
Mon Mar 17 14:58:29 2014  4 relations: 89111
Mon Mar 17 14:58:29 2014  5 relations: 81724
Mon Mar 17 14:58:29 2014  6 relations: 69063
Mon Mar 17 14:58:29 2014  7 relations: 60943
Mon Mar 17 14:58:29 2014  8 relations: 52084
Mon Mar 17 14:58:29 2014  9 relations: 44129
Mon Mar 17 14:58:29 2014  10+ relations: 150476
Mon Mar 17 14:58:29 2014  heaviest cycle: 19 relations
Mon Mar 17 14:58:30 2014  RelProcTime: 140
Mon Mar 17 14:58:30 2014  
Mon Mar 17 14:58:30 2014  commencing linear algebra
Mon Mar 17 14:58:30 2014  read 860146 cycles
Mon Mar 17 14:58:31 2014  cycles contain 2871772 unique relations
Mon Mar 17 14:58:46 2014  read 2871772 relations
Mon Mar 17 14:58:48 2014  using 20 quadratic characters above 134217174
Mon Mar 17 14:58:57 2014  building initial matrix
Mon Mar 17 14:59:14 2014  memory use: 367.2 MB
Mon Mar 17 14:59:14 2014  read 860146 cycles
Mon Mar 17 14:59:14 2014  matrix is 859963 x 860146 (256.7 MB) with weight 80788305 (93.92/col)
Mon Mar 17 14:59:14 2014  sparse part has weight 57829488 (67.23/col)
Mon Mar 17 14:59:19 2014  filtering completed in 2 passes
Mon Mar 17 14:59:19 2014  matrix is 857185 x 857368 (256.4 MB) with weight 80661146 (94.08/col)
Mon Mar 17 14:59:19 2014  sparse part has weight 57780121 (67.39/col)
Mon Mar 17 14:59:21 2014  matrix starts at (0, 0)
Mon Mar 17 14:59:21 2014  matrix is 857185 x 857368 (256.4 MB) with weight 80661146 (94.08/col)
Mon Mar 17 14:59:21 2014  sparse part has weight 57780121 (67.39/col)
Mon Mar 17 14:59:21 2014  saving the first 48 matrix rows for later
Mon Mar 17 14:59:21 2014  matrix includes 64 packed rows
Mon Mar 17 14:59:21 2014  matrix is 857137 x 857368 (247.9 MB) with weight 63924564 (74.56/col)
Mon Mar 17 14:59:21 2014  sparse part has weight 56417963 (65.80/col)
Mon Mar 17 14:59:21 2014  using block size 65536 for processor cache size 8192 kB
Mon Mar 17 14:59:23 2014  commencing Lanczos iteration (8 threads)
Mon Mar 17 14:59:23 2014  memory use: 237.4 MB
Mon Mar 17 14:59:27 2014  linear algebra at 0.4%, ETA 0h18m
Mon Mar 17 15:19:34 2014  lanczos halted after 13557 iterations (dim = 857135)
Mon Mar 17 15:19:35 2014  recovered 28 nontrivial dependencies
Mon Mar 17 15:19:35 2014  BLanczosTime: 1265
Mon Mar 17 15:19:35 2014  
Mon Mar 17 15:19:35 2014  commencing square root phase
Mon Mar 17 15:19:35 2014  reading relations for dependency 1
Mon Mar 17 15:19:35 2014  read 428677 cycles
Mon Mar 17 15:19:36 2014  cycles contain 1436152 unique relations
Mon Mar 17 15:19:47 2014  read 1436152 relations
Mon Mar 17 15:19:51 2014  multiplying 1436152 relations
Mon Mar 17 15:20:36 2014  multiply complete, coefficients have about 64.80 million bits
Mon Mar 17 15:20:37 2014  initial square root is modulo 2008380137
Mon Mar 17 15:21:33 2014  GCD is 1, no factor found
Mon Mar 17 15:21:33 2014  reading relations for dependency 2
Mon Mar 17 15:21:33 2014  read 427953 cycles
Mon Mar 17 15:21:33 2014  cycles contain 1432090 unique relations
Mon Mar 17 15:21:45 2014  read 1432090 relations
Mon Mar 17 15:21:49 2014  multiplying 1432090 relations
Mon Mar 17 15:22:34 2014  multiply complete, coefficients have about 64.62 million bits
Mon Mar 17 15:22:34 2014  initial square root is modulo 1891805827
Mon Mar 17 15:23:30 2014  GCD is N, no factor found
Mon Mar 17 15:23:30 2014  reading relations for dependency 3
Mon Mar 17 15:23:30 2014  read 429263 cycles
Mon Mar 17 15:23:31 2014  cycles contain 1435218 unique relations
Mon Mar 17 15:23:42 2014  read 1435218 relations
Mon Mar 17 15:23:46 2014  multiplying 1435218 relations
Mon Mar 17 15:24:31 2014  multiply complete, coefficients have about 64.76 million bits
Mon Mar 17 15:24:32 2014  initial square root is modulo 1982661029
Mon Mar 17 15:25:28 2014  sqrtTime: 353
--
n: 2861406510755172829955671534331176516742220369882071528807151545830975960558635149413032010820311302744067940691378908372659
skew: 220443.40
c0: -1852748539949727937057097138445
c1: 50083168108792114895267397
c2: -142322946680667833161
c3: -3749388072078973
c4: 1865983526
c5: 19656
Y0: -680168878243091728788832
Y1: 10476304226081
rlim: 6700000
alim: 6700000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 22, 2011 09:25:34 UTC 2011 年 5 月 22 日 (日) 18 時 25 分 34 秒 (日本時間)
403e61910110Ignacio SantosMay 22, 2011 09:25:34 UTC 2011 年 5 月 22 日 (日) 18 時 25 分 34 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:59:58 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 58 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:52:56 UTC 2014 年 3 月 4 日 (火) 20 時 52 分 56 秒 (日本時間)
4511e6532 / 403732Ignacio SantosMay 22, 2011 09:25:34 UTC 2011 年 5 月 22 日 (日) 18 時 25 分 34 秒 (日本時間)
500Dmitry DomanovMarch 12, 2014 13:16:15 UTC 2014 年 3 月 12 日 (水) 22 時 16 分 15 秒 (日本時間)

64×10189+719

c137

name 名前Serge Batalov
date 日付May 27, 2014 00:41:13 UTC 2014 年 5 月 27 日 (火) 9 時 41 分 13 秒 (日本時間)
composite number 合成数
11819699584355658650374127117532183497411278956870358270963768690350309003074711889855325144194300308840570165712734517639976817980256963<137>
prime factors 素因数
450928908437732492672209161083157479915380361<45>
26211891416111787810122458925620122644033386569791633500209852989052577657078561172699567083<92>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1454934736
Step 1 took 35633ms
Step 2 took 19857ms
********** Factor found in step 2: 450928908437732492672209161083157479915380361
Found probable prime factor of 45 digits: 450928908437732492672209161083157479915380361
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 22, 2011 09:26:10 UTC 2011 年 5 月 22 日 (日) 18 時 26 分 10 秒 (日本時間)
403e62417110Ignacio SantosMay 22, 2011 09:26:10 UTC 2011 年 5 月 22 日 (日) 18 時 26 分 10 秒 (日本時間)
507KTakahashiJanuary 28, 2013 21:24:35 UTC 2013 年 1 月 29 日 (火) 6 時 24 分 35 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:59:59 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 59 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:53:11 UTC 2014 年 3 月 4 日 (火) 20 時 53 分 11 秒 (日本時間)
4511e6832 / 392532Ignacio SantosMay 22, 2011 09:26:10 UTC 2011 年 5 月 22 日 (日) 18 時 26 分 10 秒 (日本時間)
500Dmitry DomanovMarch 12, 2014 13:16:29 UTC 2014 年 3 月 12 日 (水) 22 時 16 分 29 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:27 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 27 秒 (日本時間)

64×10190+719

c183

name 名前Ignacio Santos
date 日付September 28, 2010 04:44:50 UTC 2010 年 9 月 28 日 (火) 13 時 44 分 50 秒 (日本時間)
composite number 合成数
356051718966711452465237651201069013241542844131996154176342601616046540650650346573260592790518034294114919107055023336400179251344993574276213072615441262186030722157342644891351327<183>
prime factors 素因数
765993579953719752657598626380268711642431<42>
3935639877233342168094874862265446368970829989977490411<55>
118106175047403989786770126017144753776537515099194107466677504901292758816309641363747<87>
factorization results 素因数分解の結果
Number: 1
N=356051718966711452465237651201069013241542844131996154176342601616046540650650346573260592790518034294114919107055023336400179251344993574276213072615441262186030722157342644891351327
  ( 183 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=765993579953719752657598626380268711642431 (pp42)
 r2=3935639877233342168094874862265446368970829989977490411 (pp55)
 r3=118106175047403989786770126017144753776537515099194107466677504901292758816309641363747 (pp87)
Version: Msieve-1.40
Total time: 338.02 hours.
Scaled time: 587.81 units (timescale=1.739).
Factorization parameters were as follows:
n: 356051718966711452465237651201069013241542844131996154176342601616046540650650346573260592790518034294114919107055023336400179251344993574276213072615441262186030722157342644891351327
m: 200000000000000000000000000000000000000
deg: 5
c5: 2
c0: 71
skew: 2.04
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5500000, 10900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2143537 x 2143762
Total sieving time: 329.43 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 7.58 hours.
Time per square root: 0.75 hours.
Prototype def-par.txt line would be:
snfs,191.000,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,54,54,2.5,2.5,100000
total time: 338.02 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
403e61688Wataru SakaiJune 25, 2010 04:41:00 UTC 2010 年 6 月 25 日 (金) 13 時 41 分 0 秒 (日本時間)
4511e6180 / 4100Dmitry DomanovJune 20, 2010 22:47:52 UTC 2010 年 6 月 21 日 (月) 7 時 47 分 52 秒 (日本時間)

64×10191+719

c147

name 名前Ignacio Santos
date 日付May 22, 2011 09:23:32 UTC 2011 年 5 月 22 日 (日) 18 時 23 分 32 秒 (日本時間)
composite number 合成数
205569424932705832301614097476401590956359509696932142162833546671500207313271685019727300122336634240693194557920793352457681749170369363830991581<147>
prime factors 素因数
182937652835152129282580127640787<33>
composite cofactor 合成数の残り
1123713034177537706156055537287046589864698582602295991908792659438953777695268812987410643143217354736989862706063<115>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=362134145
Step 1 took 20951ms
Step 2 took 12246ms
********** Factor found in step 2: 182937652835152129282580127640787
Found probable prime factor of 33 digits: 182937652835152129282580127640787
Composite cofactor 1123713034177537706156055537287046589864698582602295991908792659438953777695268812987410643143217354736989862706063 has 115 digits
software ソフトウェア
GMP-ECM 6.3

c115

name 名前Dmitry Domanov
date 日付May 22, 2011 19:12:29 UTC 2011 年 5 月 23 日 (月) 4 時 12 分 29 秒 (日本時間)
composite number 合成数
1123713034177537706156055537287046589864698582602295991908792659438953777695268812987410643143217354736989862706063<115>
prime factors 素因数
68614992091044015805000923354037097808067994259428309<53>
16377077369425370118739782037546870591923408508914492661553107<62>
factorization results 素因数分解の結果
N=1123713034177537706156055537287046589864698582602295991908792659438953777695268812987410643143217354736989862706063
  ( 115 digits)
Divisors found:
 r1=68614992091044015805000923354037097808067994259428309 (pp53)
 r2=16377077369425370118739782037546870591923408508914492661553107 (pp62)
Version: Msieve v. 1.48
Total time: 3.37 hours.
Scaled time: 5.46 units (timescale=1.618).
Factorization parameters were as follows:
name: 115
n: 1123713034177537706156055537287046589864698582602295991908792659438953777695268812987410643143217354736989862706063
skew: 42683.67
# norm 5.92e+15
c5: 1800
c4: -4349673000
c3: -89851518460616
c2: 7343419262424441965
c1: -85384225609852330625576
c0: 5697724649187253350430035
# alpha -6.64
Y1: 2166604157861
Y0: -14424744006493551226016
# Murphy_E 6.48e-10
# M 753181278768717090527591001098683714047036622682013092559642898131375525376655230782796201058588745759805567885016
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2850001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 467504 x 467729
Polynomial selection time: 2.85 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 3.37 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10192+719

c175

name 名前Ignacio Santos
date 日付May 22, 2011 11:22:27 UTC 2011 年 5 月 22 日 (日) 20 時 22 分 27 秒 (日本時間)
composite number 合成数
1829100371656647118949382815343963682849152509315433179376655866014160019415474439570040938856126972360255656617924261694085249103827192879862375403442896279242364494157690941<175>
prime factors 素因数
99839896217650951145842165249625920643<38>
composite cofactor 合成数の残り
18320335266266791012439557914171006814983673394688523029966625364811299212468460923691346127246320650058578008154628022017960563825665087<137>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3291329789
Step 1 took 30920ms
Step 2 took 15896ms
********** Factor found in step 2: 99839896217650951145842165249625920643
Found probable prime factor of 38 digits: 99839896217650951145842165249625920643
Composite cofactor 18320335266266791012439557914171006814983673394688523029966625364811299212468460923691346127246320650058578008154628022017960563825665087 has 137 digits
software ソフトウェア
GMP-ECM 6.3

c137

name 名前Dmitry Domanov
date 日付March 5, 2014 06:01:27 UTC 2014 年 3 月 5 日 (水) 15 時 1 分 27 秒 (日本時間)
composite number 合成数
18320335266266791012439557914171006814983673394688523029966625364811299212468460923691346127246320650058578008154628022017960563825665087<137>
prime factors 素因数
138950153645123349540508724537638631163192281<45>
131848254828538427204051332935299792174746582454905128315150152447749252309431995973685293527<93>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2352443364
Step 1 took 16485ms
Step 2 took 7006ms
********** Factor found in step 2: 138950153645123349540508724537638631163192281
Found probable prime factor of 45 digits: 138950153645123349540508724537638631163192281

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 28, 2011 15:38:13 UTC 2011 年 5 月 29 日 (日) 0 時 38 分 13 秒 (日本時間)
403e62417110Ignacio SantosMay 28, 2011 15:38:13 UTC 2011 年 5 月 29 日 (日) 0 時 38 分 13 秒 (日本時間)
507KTakahashiJanuary 29, 2013 21:44:26 UTC 2013 年 1 月 30 日 (水) 6 時 44 分 26 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:59:59 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 59 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:53:22 UTC 2014 年 3 月 4 日 (火) 20 時 53 分 22 秒 (日本時間)
4511e632 / 3925Ignacio SantosMay 28, 2011 15:38:13 UTC 2011 年 5 月 29 日 (日) 0 時 38 分 13 秒 (日本時間)

64×10194+719

c188

name 名前Wataru Sakai
date 日付September 23, 2010 05:03:25 UTC 2010 年 9 月 23 日 (木) 14 時 3 分 25 秒 (日本時間)
composite number 合成数
16688548352280037846602863582275079235597835575592348224438977745369659911921961782040429379973466094699005954700912047681310432378983832569823119666641448705554963503226901620775388183653<188>
prime factors 素因数
11599499337075318630312758466882864636287606842177927799475943478188373221877<77>
1438730057851605933434235849805193879091216785535776324930267269861697208435289689441436061693329336717039155889<112>
factorization results 素因数分解の結果
Number: 71119_194
N=16688548352280037846602863582275079235597835575592348224438977745369659911921961782040429379973466094699005954700912047681310432378983832569823119666641448705554963503226901620775388183653
  ( 188 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=11599499337075318630312758466882864636287606842177927799475943478188373221877
 r2=1438730057851605933434235849805193879091216785535776324930267269861697208435289689441436061693329336717039155889
Version: 
Total time: 573.52 hours.
Scaled time: 1155.63 units (timescale=2.015).
Factorization parameters were as follows:
n: 16688548352280037846602863582275079235597835575592348224438977745369659911921961782040429379973466094699005954700912047681310432378983832569823119666641448705554963503226901620775388183653
m: 400000000000000000000000000000000000000
deg: 5
c5: 625
c0: 71
skew: 0.65
type: snfs
lss: 1
rlim: 12800000
alim: 12800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5Factor base limits: 12800000/12800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6400000, 12100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2317929 x 2318175
Total sieving time: 573.52 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12800000,12800000,28,28,55,55,2.5,2.5,100000
total time: 573.52 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
351e6904150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
754Wataru SakaiJune 21, 2010 03:36:29 UTC 2010 年 6 月 21 日 (月) 12 時 36 分 29 秒 (日本時間)
403e61797Wataru SakaiJune 24, 2010 05:27:36 UTC 2010 年 6 月 24 日 (木) 14 時 27 分 36 秒 (日本時間)
4511e689 / 4042Dmitry DomanovJune 21, 2010 12:56:06 UTC 2010 年 6 月 21 日 (月) 21 時 56 分 6 秒 (日本時間)

64×10195+719

c175

name 名前Serge Batalov
date 日付May 19, 2014 06:05:16 UTC 2014 年 5 月 19 日 (月) 15 時 5 分 16 秒 (日本時間)
composite number 合成数
6977134299380052590176558196295237119456880628409528220672608752185695604790670027477188183369799006894013741168785815049587959103514125257525402046179282415395275965774376993<175>
prime factors 素因数
973907532297047396337110577557931793403<39>
7164062365267739316936604396007432831331534946482837624626158492932069178808798401516293898269350476946639313022381478284849248589360531<136>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=997102900
Step 1 took 55477ms
Step 2 took 28693ms
********** Factor found in step 2: 973907532297047396337110577557931793403
Found probable prime factor of 39 digits: 973907532297047396337110577557931793403
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 22, 2011 13:08:43 UTC 2011 年 5 月 22 日 (日) 22 時 8 分 43 秒 (日本時間)
403e61910 / 2117110Ignacio SantosMay 22, 2011 13:08:43 UTC 2011 年 5 月 22 日 (日) 22 時 8 分 43 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:00:00 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 0 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:53:36 UTC 2014 年 3 月 4 日 (火) 20 時 53 分 36 秒 (日本時間)
4511e632 / 4037Ignacio SantosMay 22, 2011 13:08:43 UTC 2011 年 5 月 22 日 (日) 22 時 8 分 43 秒 (日本時間)

64×10196+719

c173

name 名前Ignacio Santos
date 日付May 22, 2011 14:04:48 UTC 2011 年 5 月 22 日 (日) 23 時 4 分 48 秒 (日本時間)
composite number 合成数
18055448980739350687287150400820308000836537023824072800548655642791161043175139229526872810556554782321960295595548703837324253580269601251242842034832658954147182500238361<173>
prime factors 素因数
57447508796561943545698197920812739<35>
1441547467229856384297055789577665003<37>
218025928505580376202328902971961398577262489907367184399202397991892061728871011536722870768235076633<102>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3144630333
Step 1 took 8518ms
Step 2 took 6411ms
********** Factor found in step 2: 1441547467229856384297055789577665003
Found probable prime factor of 37 digits: 1441547467229856384297055789577665003
Composite cofactor 12525046445702914060286846368018216429296754227059212248028470936107098943160560370848959772648379496512777265256649825826505811307627787 has 137 digits

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2491258838
Step 1 took 92790ms
Step 2 took 45022ms
********** Factor found in step 2: 57447508796561943545698197920812739
Found probable prime factor of 35 digits: 57447508796561943545698197920812739
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--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10197+719

c176

name 名前matsui
date 日付March 22, 2011 02:33:11 UTC 2011 年 3 月 22 日 (火) 11 時 33 分 11 秒 (日本時間)
composite number 合成数
60141393643354281071113332019790445157651947656040089937337892517203878186916542044214645727294313600208034609474418347954572412314393630383329783655079164867102602224486940437<176>
prime factors 素因数
3563823316046691599461370812951596210596724579965644217029<58>
16875526172287474804314065805503192465709556976082054534341715053031726157242706147130730192280015522602686586474715153<119>
factorization results 素因数分解の結果
N=60141393643354281071113332019790445157651947656040089937337892517203878186916542044214645727294313600208034609474418347954572412314393630383329783655079164867102602224486940437
  ( 176 digits)
SNFS difficulty: 198 digits.
Divisors found:
 r1=3563823316046691599461370812951596210596724579965644217029 (pp58)
 r2=16875526172287474804314065805503192465709556976082054534341715053031726157242706147130730192280015522602686586474715153 (pp119)
Version: Msieve v. 1.49
Total time:
Scaled time: 77.25 units (timescale=0.675).
Factorization parameters were as follows:
n: 60141393643354281071113332019790445157651947656040089937337892517203878186916542044214645727294313600208034609474418347954572412314393630383329783655079164867102602224486940437
m: 2000000000000000000000000000000000000000
deg: 5
c5: 200
c0: 71
skew: 0.81
type: snfs
lss: 1
rlim: 14400000
alim: 14400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 14400000/14400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [7200000, 15840001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2474521 x 2474724
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,198.000,5,0,0,0,0,0,0,0,0,14400000,14400000,28,28,55,55,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10198+719

c196

name 名前Wataru Sakai
date 日付November 20, 2009 06:48:39 UTC 2009 年 11 月 20 日 (金) 15 時 48 分 39 秒 (日本時間)
composite number 合成数
1087824860197508201179610082776672955654139683510954736287457719307191542161711964373735828531606411367769789063960702326925365016232386585759692689476994203933166760151615589890027705539408155287<196>
prime factors 素因数
650785158455981940062100473969000731<36>
1671557573283360183804878381813370410004043685577428419417647214928170607746446482254417566351134107881259634051566957814751822022316355735422517371501836929077<160>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=68033887
Step 1 took 75578ms
Step 2 took 22441ms
********** Factor found in step 2: 650785158455981940062100473969000731
Found probable prime factor of 36 digits: 650785158455981940062100473969000731
Probable prime cofactor 1671557573283360183804878381813370410004043685577428419417647214928170607746446482254417566351134107881259634051566957814751822022316355735422517371501836929077 has 160 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10199+719

c164

name 名前Eric Jeancolas
date 日付October 16, 2021 06:09:10 UTC 2021 年 10 月 16 日 (土) 15 時 9 分 10 秒 (日本時間)
composite number 合成数
26603368763468262234616998313790465432678374121818010540868212066594865680286477572140100046562135331658583895780320086329304865072536388063419320999062588424822581<164>
prime factors 素因数
13626083053215242470986542808138232984521943319069216159<56>
1952385631261132599161894372677448330362799031883123105899118215098345867225413153348817821223715389429938859<109>
factorization results 素因数分解の結果
26603368763468262234616998313790465432678374121818010540868212066594865680286477572140100046562135331658583895780320086329304865072536388063419320999062588424822581=13626083053215242470986542808138232984521943319069216159*1952385631261132599161894372677448330362799031883123105899118215098345867225413153348817821223715389429938859

cado polynomial
n: 26603368763468262234616998313790465432678374121818010540868212066594865680286477572140100046562135331658583895780320086329304865072536388063419320999062588424822581
skew: 3.24
type: snfs
c0: 355
c5: 1
Y0: 20000000000000000000000000000000000000000
Y1: -1
# f(x) = x^5+355
# g(x) = -x+20000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16000000
tasks.lim1 = 16000000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1952385631261132599161894372677448330362799031883123105899118215098345867225413153348817821223715389429938859 13626083053215242470986542808138232984521943319069216159
Info:Square Root: Total cpu/real time for sqrt: 782.92/252.584
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 195.76/232.235
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 231.29999999999998s
Info:Linear Algebra: Total cpu/real time for bwc: 184570/47224.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 118749.73, WCT time 30289.94, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (99840 iterations)
Info:Linear Algebra: Lingen CPU time 717.01, WCT time 181.87
Info:Linear Algebra: Mksol: CPU time 63865.52,  WCT time 16305.47, iteration CPU time 0.31, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (50176 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 232.16/60.8452
Info:Generate Factor Base: Total cpu/real time for makefb: 6.65/2.87361
Info:Square Root: Total cpu/real time for sqrt: 782.92/252.584
Info:Filtering - Merging: Merged matrix has 3183155 rows and total weight 544615806 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 912.35/251.17
Info:Filtering - Merging: Total cpu/real time for replay: 126.6/110.692
Info:Filtering - Singleton removal: Total cpu/real time for purge: 544.17/648.389
Info:Quadratic Characters: Total cpu/real time for characters: 115.18/48.2993
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 46338817
Info:Lattice Sieving: Average J: 1893.64 for 3524031 special-q, max bucket fill -bkmult 1.0,1s:1.127250
Info:Lattice Sieving: Total time: 955719s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 798.16/795.062
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 655.4000000000001s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.98688e+06/111905
1952385631261132599161894372677448330362799031883123105899118215098345867225413153348817821223715389429938859 13626083053215242470986542808138232984521943319069216159
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 22, 2011 15:51:04 UTC 2011 年 5 月 23 日 (月) 0 時 51 分 4 秒 (日本時間)
403e63210110Ignacio SantosMay 22, 2011 15:51:04 UTC 2011 年 5 月 23 日 (月) 0 時 51 分 4 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:00:01 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 1 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:53:47 UTC 2014 年 3 月 4 日 (火) 20 時 53 分 47 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:16 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 16 秒 (日本時間)
4511e632Ignacio SantosMay 22, 2011 15:51:04 UTC 2011 年 5 月 23 日 (月) 0 時 51 分 4 秒 (日本時間)
5043e61200 / 7422yoyo@HomeJuly 7, 2021 11:50:09 UTC 2021 年 7 月 7 日 (水) 20 時 50 分 9 秒 (日本時間)

64×10200+719

c173

name 名前Robert Backstrom
date 日付October 13, 2012 16:00:30 UTC 2012 年 10 月 14 日 (日) 1 時 0 分 30 秒 (日本時間)
composite number 合成数
83599840464169954018348002342835914547093276718454539697624731528922093033145972135770594809225451846956427417729903603666204320819198505551084156902136654066934769157771873<173>
prime factors 素因数
32701018617005931210499271672444336151693187291<47>
2065795224014946879566467582776702191840996243534346727296721<61>
1237533313777509065423165256417886815994309794608496173069542231043<67>
factorization results 素因数分解の結果
Number: n
N=83599840464169954018348002342835914547093276718454539697624731528922093033145972135770594809225451846956427417729903603666204320819198505551084156902136654066934769157771873
  ( 173 digits)
SNFS difficulty: 201 digits.
Divisors found:

Sat Oct 13 23:24:40 2012  prp47 factor: 32701018617005931210499271672444336151693187291
Sat Oct 13 23:24:40 2012  prp61 factor: 2065795224014946879566467582776702191840996243534346727296721
Sat Oct 13 23:24:40 2012  prp67 factor: 1237533313777509065423165256417886815994309794608496173069542231043
Sat Oct 13 23:24:40 2012  elapsed time 06:46:16 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.099).
Factorization parameters were as follows:
name: KA_71119_200
n: 83599840464169954018348002342835914547093276718454539697624731528922093033145972135770594809225451846956427417729903603666204320819198505551084156902136654066934769157771873
m: 20000000000000000000000000000000000000000
#  c173, diff: 201.81
skew: 2.042
deg: 5
c5: 2
c0: 71
# Murphy_E = 1.363e-11
type: snfs
lss: 1
rlim: 16200000
alim: 16200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16200000/16200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 30900000)
Primes: RFBsize:1043113, AFBsize:1044221,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8980828 hash collisions in 61746945 relations (55133394 unique)
Msieve: matrix is 2094272 x 2094498 (590.7 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16200000,16200000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 22, 2011 16:25:35 UTC 2011 年 5 月 23 日 (月) 1 時 25 分 35 秒 (日本時間)
403e6110 / 2117Ignacio SantosMay 22, 2011 16:25:35 UTC 2011 年 5 月 23 日 (月) 1 時 25 分 35 秒 (日本時間)
4511e632 / 4435Ignacio SantosMay 22, 2011 16:25:35 UTC 2011 年 5 月 23 日 (月) 1 時 25 分 35 秒 (日本時間)

64×10201+719

c179

name 名前Bob Backstrom
date 日付October 7, 2021 01:28:04 UTC 2021 年 10 月 7 日 (木) 10 時 28 分 4 秒 (日本時間)
composite number 合成数
10650440031251456405917831470095647703624582024630736250064801706799912467030053825437496729983681330037308488694033766094297660509478314924907114346778740043424242841509980824173<179>
prime factors 素因数
166735896480013194611742364819209044806650410131<48>
63876107401552464939738418525830243536020164969961396738676752089566689694295487460340452701953365492774745246552961876747992624383<131>
factorization results 素因数分解の結果
Number: n
N=10650440031251456405917831470095647703624582024630736250064801706799912467030053825437496729983681330037308488694033766094297660509478314924907114346778740043424242841509980824173  ( 179 digits)
SNFS difficulty: 202 digits.
Divisors found:

Thu Oct  7 12:21:48 2021  p48 factor: 166735896480013194611742364819209044806650410131
Thu Oct  7 12:21:48 2021  p131 factor: 63876107401552464939738418525830243536020164969961396738676752089566689694295487460340452701953365492774745246552961876747992624383
Thu Oct  7 12:21:48 2021  elapsed time 01:46:55 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 64x10^201+71 = 71(200)9
#
n: 10650440031251456405917831470095647703624582024630736250064801706799912467030053825437496729983681330037308488694033766094297660509478314924907114346778740043424242841509980824173
m: 20000000000000000000000000000000000000000
deg: 5
c5: 20
c0: 71
skew: 1.29
# Murphy_E = 1.048e-11
type: snfs
lss: 1
rlim: 16800000
alim: 16800000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16800000/16800000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9891581 hash collisions in 71007630 relations (62660665 unique)
Msieve: matrix is 2088861 x 2089090 (713.2 MB)

Sieving start time : 2021/10/06 21:17:47
Sieving end time  : 2021/10/07 10:33:13

Total sieving time: 13hrs 15min 26secs.

Total relation processing time: 1hrs 27min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 12sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16800000,16800000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118347] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239960K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487276K reserved, 0K cma-reserved)
[    0.154098] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.48 BogoMIPS (lpj=12798968)
[    0.150212] smpboot: Total of 16 processors activated (102391.74 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e67580400Serge BatalovNovember 19, 2013 18:03:12 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 12 秒 (日本時間)
2400Justin CardNovember 20, 2013 12:01:44 UTC 2013 年 11 月 20 日 (水) 21 時 1 分 44 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:27 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 27 秒 (日本時間)
4480Ignacio SantosSeptember 5, 2021 13:28:10 UTC 2021 年 9 月 5 日 (日) 22 時 28 分 10 秒 (日本時間)

64×10202+719

c171

name 名前Bob Backstrom
date 日付December 23, 2021 18:37:07 UTC 2021 年 12 月 24 日 (金) 3 時 37 分 7 秒 (日本時間)
composite number 合成数
145008319963660575142261592944404314904924228597751556638909482754308580259857731864974925602323910117622798076656764732398341697416788796542202910199159635433650376363383<171>
prime factors 素因数
4363969501418135985152251471449314739002254401390788565674967431<64>
33228536523121436060650104534911901607647432577971841903730672409052955394403418226230557452878626590773393<107>
factorization results 素因数分解の結果
Number: n
N=145008319963660575142261592944404314904924228597751556638909482754308580259857731864974925602323910117622798076656764732398341697416788796542202910199159635433650376363383  ( 171 digits)
SNFS difficulty: 203 digits.
Divisors found:

Fri Dec 24 05:31:16 2021  p64 factor: 4363969501418135985152251471449314739002254401390788565674967431
Fri Dec 24 05:31:16 2021  p107 factor: 33228536523121436060650104534911901607647432577971841903730672409052955394403418226230557452878626590773393
Fri Dec 24 05:31:16 2021  elapsed time 01:45:34 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.320).
Factorization parameters were as follows:
#
# N = 64x10^202+71 = 71(201)9
#
n: 145008319963660575142261592944404314904924228597751556638909482754308580259857731864974925602323910117622798076656764732398341697416788796542202910199159635433650376363383
m: 20000000000000000000000000000000000000000
deg: 5
c5: 200
c0: 71
skew: 0.81
# Murphy_E = 9.838e-12
type: snfs
lss: 1
rlim: 17500000
alim: 17500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17500000/17500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10885294 hash collisions in 70501171 relations (62396109 unique)
Msieve: matrix is 2084862 x 2085094 (714.1 MB)

Sieving start time : 2021/12/23 14:17:37
Sieving end time  : 2021/12/24 03:43:58

Total sieving time: 13hrs 26min 21secs.

Total relation processing time: 1hrs 22min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 46sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17500000,17500000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118230] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved)
[    0.153572] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.15 BogoMIPS (lpj=12798304)
[    0.152049] smpboot: Total of 16 processors activated (102386.43 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e64496400Serge BatalovNovember 19, 2013 18:03:14 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 14 秒 (日本時間)
4096Justin CardNovember 21, 2013 01:05:30 UTC 2013 年 11 月 21 日 (木) 10 時 5 分 30 秒 (日本時間)

64×10204+719

c113

name 名前Dmitry Domanov
date 日付November 19, 2013 05:06:57 UTC 2013 年 11 月 19 日 (火) 14 時 6 分 57 秒 (日本時間)
composite number 合成数
13928037585868308721813055580191028789057239557844620497139499311502766654547556129166471194970903530609039835421<113>
prime factors 素因数
505372145130580156003097930946751016395486187<45>
27559962930425309576408336963846432084458235445659308222761047573783<68>
factorization results 素因数分解の結果
N=13928037585868308721813055580191028789057239557844620497139499311502766654547556129166471194970903530609039835421
  ( 113 digits)
Divisors found:
 r1=505372145130580156003097930946751016395486187 (pp45)
 r2=27559962930425309576408336963846432084458235445659308222761047573783 (pp68)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 18.49 hours.
Scaled time: 32.24 units (timescale=1.743).
Factorization parameters were as follows:
n: 13928037585868308721813055580191028789057239557844620497139499311502766654547556129166471194970903530609039835421
skew: 126987.92
c0: 34720871156370421707894394185
c1: -255943526825390297898222
c2: -8754082477130796968
c3: -36993129896390
c4: 828583471
c5: 3300
Y0: -5309763385287120349496
Y1: 7217500501
rlim: 3980000
alim: 3980000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 120000
type: gnfs
Factor base limits: 3980000/3980000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [1990000, 2710001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 568493 x 568726
Total sieving time: 17.82 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.41 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3980000,3980000,27,27,54,54,2.5,2.5,100000
total time: 18.49 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)

64×10208+719

c176

name 名前ebina
date 日付June 17, 2022 02:56:42 UTC 2022 年 6 月 17 日 (金) 11 時 56 分 42 秒 (日本時間)
composite number 合成数
51796081459429078049821845201994868842770205414231630612705433805504744136118451678551807063832002655357077492391113876520343400313928884322338597769334885533147869860290042039<176>
prime factors 素因数
782760215862304189670541743594544209918243791<45>
66171070539615361887709843789544746807717371968747136766611293610991571948169944839993798837346709544127907776116255703597743423129<131>
factorization results 素因数分解の結果
Fri Jun 17 08:59:35 2022  Msieve v. 1.53 (SVN unknown)
Fri Jun 17 08:59:35 2022  random seeds: 3499a0e8 db7f52b2
Fri Jun 17 08:59:35 2022  factoring 51796081459429078049821845201994868842770205414231630612705433805504744136118451678551807063832002655357077492391113876520343400313928884322338597769334885533147869860290042039 (176 digits)
Fri Jun 17 08:59:35 2022  searching for 15-digit factors
Fri Jun 17 08:59:36 2022  commencing number field sieve (176-digit input)
Fri Jun 17 08:59:36 2022  R0: -200000000000000000000000000000000000000000
Fri Jun 17 08:59:36 2022  R1: 1
Fri Jun 17 08:59:36 2022  A0: 71
Fri Jun 17 08:59:36 2022  A1: 0
Fri Jun 17 08:59:36 2022  A2: 0
Fri Jun 17 08:59:36 2022  A3: 0
Fri Jun 17 08:59:36 2022  A4: 0
Fri Jun 17 08:59:36 2022  A5: 2000
Fri Jun 17 08:59:36 2022  skew 0.51, size 7.948e-15, alpha 0.400, combined = 4.246e-12 rroots = 1
Fri Jun 17 08:59:36 2022  
Fri Jun 17 08:59:36 2022  commencing square root phase
Fri Jun 17 08:59:36 2022  reading relations for dependency 1
Fri Jun 17 08:59:36 2022  read 2426412 cycles
Fri Jun 17 08:59:39 2022  cycles contain 7892914 unique relations
Fri Jun 17 09:00:44 2022  read 7892914 relations
Fri Jun 17 09:01:21 2022  multiplying 7892914 relations
Fri Jun 17 09:05:09 2022  multiply complete, coefficients have about 273.50 million bits
Fri Jun 17 09:05:10 2022  initial square root is modulo 80831
Fri Jun 17 09:09:46 2022  sqrtTime: 610
Fri Jun 17 09:09:46 2022  p45 factor: 782760215862304189670541743594544209918243791
Fri Jun 17 09:09:46 2022  p131 factor: 66171070539615361887709843789544746807717371968747136766611293610991571948169944839993798837346709544127907776116255703597743423129
Fri Jun 17 09:09:46 2022  elapsed time 00:10:11

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 05:00:02 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 2 秒 (日本時間)
4511e6700 / 4082400Serge BatalovNovember 19, 2013 18:03:14 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 14 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:27 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 27 秒 (日本時間)
5043e693 / 7384CypFebruary 7, 2014 05:45:25 UTC 2014 年 2 月 7 日 (金) 14 時 45 分 25 秒 (日本時間)

64×10209+719

c200

name 名前Serge Batalov
date 日付November 18, 2013 21:52:16 UTC 2013 年 11 月 19 日 (火) 6 時 52 分 16 秒 (日本時間)
composite number 合成数
14108930494950923210758130438575374937707247348604035937343119160923434346165812337071480021748465842179981227716884550511373706534742123331221284791893899089766808201633710500498339828815640020517953<200>
prime factors 素因数
14378338784423069058185814557450099<35>
981262905714531342719320913306148233960398586472797742003160832237030944582245712726312626377249591674674719805934400201112194206095591572741573546820481326625306747<165>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3911854495
Step 1 took 10189ms
Step 2 took 7108ms
********** Factor found in step 2: 14378338784423069058185814557450099
Found probable prime factor of 35 digits: 14378338784423069058185814557450099
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)

64×10211+719

c203

name 名前Bob Backstrom
date 日付August 18, 2020 01:38:39 UTC 2020 年 8 月 18 日 (火) 10 時 38 分 39 秒 (日本時間)
composite number 合成数
53896621381156485255970652537126384259380698593203298634143626988012996696292651615874635103167402279209008074536732721484116371647639508314021274913663021157556380581287459502959777638392525112074485091<203>
prime factors 素因数
4241983320101201003802952280803726732823031942682141<52>
101974547848116877698353714367007197944524472278277551275509410054190501<72>
124595052255547829154399746350770836644926267949691339531584962308062871317594451<81>
factorization results 素因数分解の結果
Number: n
N=53896621381156485255970652537126384259380698593203298634143626988012996696292651615874635103167402279209008074536732721484116371647639508314021274913663021157556380581287459502959777638392525112074485091  ( 203 digits)
SNFS difficulty: 212 digits.
Divisors found:

Tue Aug 18 10:46:32 2020  found factor: 101974547848116877698353714367007197944524472278277551275509410054190501
Tue Aug 18 10:56:40 2020  p52 factor: 4241983320101201003802952280803726732823031942682141
Tue Aug 18 10:56:40 2020  p72 factor: 101974547848116877698353714367007197944524472278277551275509410054190501
Tue Aug 18 10:56:40 2020  p81 factor: 124595052255547829154399746350770836644926267949691339531584962308062871317594451
Tue Aug 18 10:56:40 2020  elapsed time 04:15:06 (Msieve 1.54 - dependency 4)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.119).
Factorization parameters were as follows:
#
# N = 64x10^211+71 = 71(210)9
#
n: 53896621381156485255970652537126384259380698593203298634143626988012996696292651615874635103167402279209008074536732721484116371647639508314021274913663021157556380581287459502959777638392525112074485091
m: 200000000000000000000000000000000000
deg: 6
c6: 10
c0: 71
skew: 1.39
# Murphy_E = 4.345e-12
type: snfs
lss: 1
rlim: 25000000
alim: 25000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 25000000/25000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 59700000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9240215 hash collisions in 60356910 relations (53709703 unique)
Msieve: matrix is 3024272 x 3024497 (1066.5 MB)

Sieving start time: 2020/08/17 05:26:17
Sieving end time  : 2020/08/18 06:40:39

Total sieving time: 25hrs 14min 22secs.

Total relation processing time: 3hrs 36min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 20min 14sec.

Prototype def-par.txt line would be:
snfs,212,6,0,0,0,0,0,0,0,0,25000000,25000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.154206] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283136K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2720K bss, 420324K reserved, 0K cma-reserved)
[    0.188728] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.50 BogoMIPS (lpj=11977004)
[    0.186225] smpboot: Total of 16 processors activated (95816.03 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:00:03 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 3 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:54:24 UTC 2014 年 3 月 4 日 (火) 20 時 54 分 24 秒 (日本時間)
4511e6700 / 4077400Serge BatalovNovember 19, 2013 18:03:15 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 15 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:28 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 28 秒 (日本時間)

64×10212+719

c213

name 名前Robert Backstrom
date 日付December 20, 2014 04:54:15 UTC 2014 年 12 月 20 日 (土) 13 時 54 分 15 秒 (日本時間)
composite number 合成数
711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119<213>
prime factors 素因数
45875637291539711185287107299476512738138753563960806703<56>
15500844306358066241290086378133484314061673421371983176056718123241741729225194228014772365325776082935532676173535093224134518240510521170587500970169400673<158>
factorization results 素因数分解の結果
Number: n
N=711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119
  ( 213 digits)
SNFS difficulty: 213 digits.
Divisors found:

Sat Dec 20 15:42:05 2014  prp56 factor: 45875637291539711185287107299476512738138753563960806703
Sat Dec 20 15:42:05 2014  prp158 factor: 15500844306358066241290086378133484314061673421371983176056718123241741729225194228014772365325776082935532676173535093224134518240510521170587500970169400673
Sat Dec 20 15:42:05 2014  elapsed time 13:33:30 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.972).
Factorization parameters were as follows:
#
#  N = 64*10^212+71 71(211)9
#
n: 711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119
m: 200000000000000000000000000000000000
deg: 6
c6: 100
c0: 71
skew: 0.94
# Murphy_E = 3.445e-12
type: snfs
lss: 1
rlim: 26000000
alim: 26000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 26000000/26000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 80200000)
Primes: RFBsize:1624527, AFBsize:1624819,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 15438810 hash collisions in 80041419 relations (65564883 unique)
Msieve: matrix is 3295713 x 3295938 (935.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 12hrs 56min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 17sec.

Prototype def-par.txt line would be:
snfs,213,6,0,0,0,0,0,0,0,0,26000000,26000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.038684] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03)
[    0.000000] Memory: 16059644K/16661464K available (7373K kernel code, 1159K rwdata, 3228K rodata, 1468K init, 1504K bss, 601820K reserved)
[    1.137325] [drm] Memory usable by graphics device = 2048M
[    0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7200.13 BogoMIPS (lpj=3600065)
[    0.136532] smpboot: Total of 8 processors activated (57601.04 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 19, 2013 03:29:45 UTC 2013 年 11 月 19 日 (火) 12 時 29 分 45 秒 (日本時間)
403e61200Serge BatalovNovember 19, 2013 03:29:45 UTC 2013 年 11 月 19 日 (火) 12 時 29 分 45 秒 (日本時間)
4511e6400Serge BatalovNovember 19, 2013 18:03:16 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 16 秒 (日本時間)
5043e60 / 6064--
5511e7560 / 17734Serge BatalovNovember 19, 2013 18:08:45 UTC 2013 年 11 月 20 日 (水) 3 時 8 分 45 秒 (日本時間)

64×10214+719

c157

composite cofactor 合成数の残り
3534481065473806766703961769117012438039701526736749078261138129181735136719596676135189034636558305064299401281478539136776180746201119395949961455199557393<157>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:00:04 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 4 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:54:44 UTC 2014 年 3 月 4 日 (火) 20 時 54 分 44 秒 (日本時間)
4511e6700 / 4077400Serge BatalovNovember 19, 2013 18:03:17 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 17 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:28 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 28 秒 (日本時間)

64×10216+719

c217

name 名前Bob Backstrom
date 日付November 21, 2017 22:33:57 UTC 2017 年 11 月 22 日 (水) 7 時 33 分 57 秒 (日本時間)
composite number 合成数
2370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370373<217>
prime factors 素因数
273112152743381292134168615016520894781358817869309314827931480581782285553444187<81>
8679109832939555498743956658313084846527168839276222593731304817696645649138482086498374285139707223186951216578607036769875356180390879<136>
factorization results 素因数分解の結果
Number: n
N=2370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370373
  ( 217 digits)
SNFS difficulty: 217 digits.
Divisors found:

Wed Nov 22 09:26:59 2017  p81 factor: 273112152743381292134168615016520894781358817869309314827931480581782285553444187
Wed Nov 22 09:26:59 2017  p136 factor: 8679109832939555498743956658313084846527168839276222593731304817696645649138482086498374285139707223186951216578607036769875356180390879
Wed Nov 22 09:26:59 2017  elapsed time 08:47:25 (Msieve 1.53 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.108).
Factorization parameters were as follows:
#
# 64x10^216+71 71(215)9
#
n: 2370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370373
m: 2000000000000000000000000000000000000
deg: 6
c6: 1
c0: 71
skew: 2.03
# Murphy_E = 2.94e-12
type: snfs
lss: 1
rlim: 30000000
alim: 30000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 30000000/30000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 35000000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 12450646 hash collisions in 71118744 relations (59921740 unique)
Msieve: matrix is 4021925 x 4022153 (1133.4 MB)

Sieving start time: 2017/11/20 00:39:46
Sieving end time  : 2017/11/22 00:37:51

Total sieving time: 47hrs 58min 5secs.

Total relation processing time: 8hrs 3min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 16sec.

Prototype def-par.txt line would be:
snfs,217,6,0,0,0,0,0,0,0,0,30000000,30000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.068000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16297376K/16703460K available (9281K kernel code, 2477K rwdata, 3992K rodata, 2324K init, 2384K bss, 406084K reserved, 0K cma-reserved)
[    0.100624] x86/mm: Memory block size: 128MB
[    0.008000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.60 BogoMIPS (lpj=11977204)
[    0.098232] smpboot: Total of 16 processors activated (95817.63 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 19, 2013 03:29:21 UTC 2013 年 11 月 19 日 (火) 12 時 29 分 21 秒 (日本時間)
403e61200Serge BatalovNovember 19, 2013 03:29:21 UTC 2013 年 11 月 19 日 (火) 12 時 29 分 21 秒 (日本時間)
4511e6400Serge BatalovNovember 19, 2013 18:03:18 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 18 秒 (日本時間)
5043e60 / 6064--
5511e7560 / 17734Serge BatalovNovember 19, 2013 18:09:03 UTC 2013 年 11 月 20 日 (水) 3 時 9 分 3 秒 (日本時間)

64×10219+719

c180

name 名前Erik Branger
date 日付April 18, 2021 20:10:30 UTC 2021 年 4 月 19 日 (月) 5 時 10 分 30 秒 (日本時間)
composite number 合成数
679064503983636276402373538454578894689849563467236772188548035385381730501845047588137034078989646071905071205223528538492988763623136007768409632714967922017172440935956765851427<180>
prime factors 素因数
2568851488605888821550750224758844412018132028024963822770259709746283<70>
264345567268337254756860474431804557650876519554566634057701597666151010903783505577769787501060726725760931369<111>
factorization results 素因数分解の結果
Number: 71119_219
N = 679064503983636276402373538454578894689849563467236772188548035385381730501845047588137034078989646071905071205223528538492988763623136007768409632714967922017172440935956765851427 (180 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=2568851488605888821550750224758844412018132028024963822770259709746283 (pp70)
r2=264345567268337254756860474431804557650876519554566634057701597666151010903783505577769787501060726725760931369 (pp111)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 58.37 hours.
Factorization parameters were as follows:
n: 679064503983636276402373538454578894689849563467236772188548035385381730501845047588137034078989646071905071205223528538492988763623136007768409632714967922017172440935956765851427
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 32
c0: 355
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 7286204 relations
Pruned matrix : 6274729 x 6274954
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 24.24 hours.
Total relation processing time: 0.39 hours.
Matrix solve time: 32.94 hours.
time per square root: 0.79 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 58.37 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:00:07 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 7 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:55:01 UTC 2014 年 3 月 4 日 (火) 20 時 55 分 1 秒 (日本時間)
4511e6700 / 4077400Serge BatalovNovember 19, 2013 18:03:18 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 18 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:29 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 29 秒 (日本時間)

64×10220+719

c170

name 名前Dmitry Domanov
date 日付March 7, 2014 05:36:13 UTC 2014 年 3 月 7 日 (金) 14 時 36 分 13 秒 (日本時間)
composite number 合成数
47801598175629145432625911352773290175354755525504084755508269161150213085602058295400214235716920752607853438144444183154888222801154379702700609018251750491193251691039<170>
prime factors 素因数
651002790353298735692825222930759997289<39>
composite cofactor 合成数の残り
73427639457101640451530621456594340826942757271837995016496536227555071895608858450758952534645060194325682469893274139507372743751<131>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1249821623
Step 1 took 19469ms
Step 2 took 8251ms
********** Factor found in step 2: 651002790353298735692825222930759997289
Found probable prime factor of 39 digits: 651002790353298735692825222930759997289

c131

name 名前Erik Branger
date 日付March 18, 2014 10:32:42 UTC 2014 年 3 月 18 日 (火) 19 時 32 分 42 秒 (日本時間)
composite number 合成数
73427639457101640451530621456594340826942757271837995016496536227555071895608858450758952534645060194325682469893274139507372743751<131>
prime factors 素因数
2307422613834914413452397945853834276524747<43>
3590169621836697546208930638801785908718563<43>
8863749101440807074481612098205168829273982791<46>
factorization results 素因数分解の結果
Number: 71119_220
N = 73427639457101640451530621456594340826942757271837995016496536227555071895608858450758952534645060194325682469893274139507372743751 (131 digits)
Divisors found:
r1=2307422613834914413452397945853834276524747 (pp43)
r2=3590169621836697546208930638801785908718563 (pp43)
r3=8863749101440807074481612098205168829273982791 (pp46)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 54.47 hours.
Factorization parameters were as follows:
# Murphy_E = 8.064e-11, selected by Dmitry Domanov
n: 73427639457101640451530621456594340826942757271837995016496536227555071895608858450758952534645060194325682469893274139507372743751
Y0: -21740080403428105966949335
Y1: 43166473642181
c0: 169354256214490464190249289927286
c1: 956579927934456821373742889
c2: -6550830786414080699698
c3: -15374597487571684
c4: 35872822032
c5: 15120
skew: 466744.93
type: gnfs
# selected mechanically
rlim: 10300000
alim: 10300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 10300000/10300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19062047
Relations: 2740802 relations
Pruned matrix : 1572397 x 1572629
Polynomial selection time: 0.00 hours.
Total sieving time: 52.44 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.79 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: gnfs,130,5,65,2000,1e-05,0.28,250,20,50000,3600,10300000,10300000,28,28,54,54,2.6,2.6,100000
total time: 54.47 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 2, 2014 15:14:29 UTC 2014 年 1 月 3 日 (金) 0 時 14 分 29 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:00:08 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 8 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:55:12 UTC 2014 年 3 月 4 日 (火) 20 時 55 分 12 秒 (日本時間)
4511e6500 / 4013Dmitry DomanovMarch 12, 2014 07:39:43 UTC 2014 年 3 月 12 日 (水) 16 時 39 分 43 秒 (日本時間)

64×10221+719

c189

name 名前Erik Branger
date 日付May 22, 2022 06:39:41 UTC 2022 年 5 月 22 日 (日) 15 時 39 分 41 秒 (日本時間)
composite number 合成数
445008894937582361730592214101019032098695081394892185637551426012248498800837082955063103304738555832591625875228044319772406449512851350014618137769012006169829107066455690393586313501021<189>
prime factors 素因数
33430366119293230367296507481258151872480467225490837722939909780556216625253<77>
13311517240032863208171662383517776167099625600584614211237374820555906863719283892251430564200357287325364687257<113>
factorization results 素因数分解の結果
Number: 71119_221
N = 445008894937582361730592214101019032098695081394892185637551426012248498800837082955063103304738555832591625875228044319772406449512851350014618137769012006169829107066455690393586313501021 (189 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=33430366119293230367296507481258151872480467225490837722939909780556216625253 (pp77)
r2=13311517240032863208171662383517776167099625600584614211237374820555906863719283892251430564200357287325364687257 (pp113)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 74.82 hours.
Factorization parameters were as follows:
n: 445008894937582361730592214101019032098695081394892185637551426012248498800837082955063103304738555832591625875228044319772406449512851350014618137769012006169829107066455690393586313501021
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 640
c0: 71
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31139787
Relations: 8333306 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 23.20 hours.
Total relation processing time: 0.43 hours.
Pruned matrix : 7132349 x 7132574
Matrix solve time: 50.97 hours.
time per square root: 0.22 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 74.82 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_facotry, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:00:09 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 9 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:55:25 UTC 2014 年 3 月 4 日 (火) 20 時 55 分 25 秒 (日本時間)
4511e6700 / 4077400Serge BatalovNovember 19, 2013 18:03:19 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 19 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:29 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 29 秒 (日本時間)

64×10222+719

c197

name 名前Erik Branger
date 日付March 23, 2022 16:19:00 UTC 2022 年 3 月 24 日 (木) 1 時 19 分 0 秒 (日本時間)
composite number 合成数
93858707838387436174087505435320371159290082255922688340902970556295563595819109291805702347460575300363371848316427997203883872496400246895386025224140243032098330242488753194428803343568641416349<197>
prime factors 素因数
369503321402920185717227591573865031391196820646063<51>
254013164163253636615646899713125824636494619806225391213587709062481034236809163620000126004007384095304101767625976315415966708441105379437726323<147>
factorization results 素因数分解の結果
Number: 71119_222
N = 93858707838387436174087505435320371159290082255922688340902970556295563595819109291805702347460575300363371848316427997203883872496400246895386025224140243032098330242488753194428803343568641416349 (197 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=369503321402920185717227591573865031391196820646063 (pp51)
r2=254013164163253636615646899713125824636494619806225391213587709062481034236809163620000126004007384095304101767625976315415966708441105379437726323 (pp147)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 97.46 hours.
Factorization parameters were as follows:
n: 93858707838387436174087505435320371159290082255922688340902970556295563595819109291805702347460575300363371848316427997203883872496400246895386025224140243032098330242488753194428803343568641416349
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 6400
c0: 71
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 33415346
Relations: 10123498 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 31.37 hours.
Total relation processing time: 0.39 hours.
Pruned matrix : 8576047 x 8576272
Matrix solve time: 65.40 hours.
time per square root: 0.30 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 97.46 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:00:10 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 10 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:55:39 UTC 2014 年 3 月 4 日 (火) 20 時 55 分 39 秒 (日本時間)
4511e6700 / 4077400Serge BatalovNovember 19, 2013 18:03:20 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 20 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:29 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 29 秒 (日本時間)

64×10223+719

c168

name 名前Serge Batalov
date 日付January 9, 2014 07:36:14 UTC 2014 年 1 月 9 日 (木) 16 時 36 分 14 秒 (日本時間)
composite number 合成数
405069131654049254202438073863531167529002553133657625839654075248269099004738589506989638130810608796798207304379966620093775021067645863937757693580318048283540701141<168>
prime factors 素因数
73442935197891768104195719309635463<35>
5515426780841366112240854013357565748974926452499907244160182064323310129756851573966009160228304132038037401907330584332164495578307<133>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3159830177
Step 1 took 11626ms
Step 2 took 5587ms
********** Factor found in step 2: 73442935197891768104195719309635463
Found probable prime factor of 35 digits: 73442935197891768104195719309635463
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6300 / 938Serge BatalovJanuary 9, 2014 05:00:10 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 10 秒 (日本時間)
4511e6400 / 4409Serge BatalovNovember 19, 2013 18:03:21 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 21 秒 (日本時間)

64×10224+719

c207

name 名前Dmitry Domanov
date 日付March 5, 2014 05:58:56 UTC 2014 年 3 月 5 日 (水) 14 時 58 分 56 秒 (日本時間)
composite number 合成数
248076999155653349310151818398670815377385306411957038552261160326692641563804015172439652511044736462404566414501845260468019248155902071628251389037632814810321642498163868604064251064413838084087109243107<207>
prime factors 素因数
14405445613948022911583491786559830605184109<44>
17221056939429464962701726946259760295874919184007127404153115620320934307949123702667434277890151363514611386815556497720021783477988029916511505887217690741985423<164>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4034073175
Step 1 took 32334ms
********** Factor found in step 1: 14405445613948022911583491786559830605184109
Found probable prime factor of 44 digits: 14405445613948022911583491786559830605184109

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:00:11 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 11 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:55:51 UTC 2014 年 3 月 4 日 (火) 20 時 55 分 51 秒 (日本時間)
4511e6400 / 4077Serge BatalovNovember 19, 2013 18:03:22 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 22 秒 (日本時間)

64×10226+719

c215

name 名前Justin Card
date 日付November 19, 2013 03:51:28 UTC 2013 年 11 月 19 日 (火) 12 時 51 分 28 秒 (日本時間)
composite number 合成数
35991319207178920920534889206449864409055158760646510900932530633475002660379521029353034838438740328296381866502307654909250212263936697560285643068744125625801385863094101980668077704449676625442568610122593981539<215>
prime factors 素因数
863782612552366569358358403141401<33>
composite cofactor 合成数の残り
41667103139329466039729202774163348163971666986583119230119098205142717327350959605857583815635190137106692666289169134888886777318506702079535751325665298587387015186640045075806939<182>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3832666432
Step 1 took 11483ms
Step 2 took 5827ms
********** Factor found in step 2: 863782612552366569358358403141401
Found probable prime factor of 33 digits: 863782612552366569358358403141401
Composite cofactor 41667103139329466039729202774163348163971666986583119230119098205142717327350959605857583815635190137106692666289169134888886777318506702079535751325665298587387015186640045075806939 has 182 digits
software ソフトウェア
GMP-ECM 7.0-dev [configured with GMP 5.1.3, --enable-asm-redc, --enable-gpu, --enable-assert, --enable-openmp] [ECM]
execution environment 実行環境
Athlon II X4 3GHz, 8 GB RAM, Arch Linux

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:15 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 15 秒 (日本時間)
403e63100300Serge BatalovJanuary 9, 2014 05:00:12 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 12 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:56:19 UTC 2014 年 3 月 4 日 (火) 20 時 56 分 19 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:17 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 17 秒 (日本時間)

64×10227+719

c189

composite cofactor 合成数の残り
312274314843163878616461567683967832372848875465244453787444454277109654811893381600467567334748808967934967907040113013288133305472492803545604757350589550162343965944765727162026125658037<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:00:13 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 13 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:56:40 UTC 2014 年 3 月 4 日 (火) 20 時 56 分 40 秒 (日本時間)
4511e6700 / 4077400Serge BatalovNovember 19, 2013 18:03:23 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 23 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:30 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 30 秒 (日本時間)

64×10229+719

c169

composite cofactor 合成数の残り
1920926460948165268469544859329517696958813510691222744419978451438144098878461217620387996664286702589068401030685554832736151354261591079499883156368434986516331340917<169>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:00:14 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 14 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:56:50 UTC 2014 年 3 月 4 日 (火) 20 時 56 分 50 秒 (日本時間)
4511e6700 / 4077400Serge BatalovNovember 19, 2013 18:03:24 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 24 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:30 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 30 秒 (日本時間)

64×10232+719

c207

name 名前Dmitry Domanov
date 日付March 5, 2014 05:59:29 UTC 2014 年 3 月 5 日 (水) 14 時 59 分 29 秒 (日本時間)
composite number 合成数
343654889474168857670929996617605820986045314746970887772543991869057012972685543119675264476117958692094044557850671493066041817412997713386616349642191030913849295283498469642592700366884582713955840724133<207>
prime factors 素因数
4739586648523379254409968392034775293<37>
composite cofactor 合成数の残り
72507354535069998474501108103552551324511414528117611851538810614227182471725281762882758769539751654886443301349899556979264186775715474075323699176359045404816852487881<170>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1733200767
Step 1 took 27582ms
Step 2 took 10905ms
********** Factor found in step 2: 4739586648523379254409968392034775293
Found probable prime factor of 37 digits: 4739586648523379254409968392034775293

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:00:14 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 14 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:57:04 UTC 2014 年 3 月 4 日 (火) 20 時 57 分 4 秒 (日本時間)
4511e6700 / 4077400Serge BatalovNovember 19, 2013 18:03:25 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 25 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:31 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 31 秒 (日本時間)

64×10234+719

c205

composite cofactor 合成数の残り
2898044355593650357131080041597889051389071014989995610933550896040970073931563889534898596560727180386587642040906821566326692752411866129568441229973759771253266747568952600644045841017941137486688560037<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:00:15 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 15 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:57:17 UTC 2014 年 3 月 4 日 (火) 20 時 57 分 17 秒 (日本時間)
4511e6700 / 4077400Serge BatalovNovember 19, 2013 18:03:26 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 26 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:31 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 31 秒 (日本時間)

64×10235+719

c183

composite cofactor 合成数の残り
182337760248312078393025003747226103124587271420434702927767130510437337603338787014062270786527270323885120984079279911010105257600071991817376388717769925358053633773746228739772037<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:00:16 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 16 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:57:27 UTC 2014 年 3 月 4 日 (火) 20 時 57 分 27 秒 (日本時間)
4511e6700 / 4077400Serge BatalovNovember 19, 2013 18:03:27 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 27 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:31 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 31 秒 (日本時間)

64×10236+719

c237

name 名前NFS@Home
date 日付October 8, 2021 23:34:53 UTC 2021 年 10 月 9 日 (土) 8 時 34 分 53 秒 (日本時間)
composite number 合成数
711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119<237>
prime factors 素因数
91727010518188830727434067563000139538155555728475315319770188646670459<71>
7752472331692339457098550644589891999805522443093285375303049417909315451926992046140058221386853588945032789832207706718736283616102074575148139616370286918195639741<166>
factorization results 素因数分解の結果
p71 factor: 91727010518188830727434067563000139538155555728475315319770188646670459
p166 factor: 7752472331692339457098550644589891999805522443093285375303049417909315451926992046140058221386853588945032789832207706718736283616102074575148139616370286918195639741
n: 711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119
m: 2000000000000000000000000000000000000000
deg: 6
c6: 100
c0: 71
skew: 0.94
type: snfs
Full Msieve log at: https://pastebin.com/WVDhYBmv
software ソフトウェア
GGNFS+Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 19, 2013 03:30:08 UTC 2013 年 11 月 19 日 (火) 12 時 30 分 8 秒 (日本時間)
403e62400Serge BatalovNovember 19, 2013 03:30:08 UTC 2013 年 11 月 19 日 (火) 12 時 30 分 8 秒 (日本時間)
4511e6400Serge BatalovNovember 19, 2013 18:03:27 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 27 秒 (日本時間)
5043e6500Serge BatalovJanuary 11, 2015 01:24:44 UTC 2015 年 1 月 11 日 (日) 10 時 24 分 44 秒 (日本時間)
5511e78560560Serge BatalovNovember 19, 2013 18:09:20 UTC 2013 年 11 月 20 日 (水) 3 時 9 分 20 秒 (日本時間)
8000yoyo@HomeJune 2, 2020 22:45:43 UTC 2020 年 6 月 3 日 (水) 7 時 45 分 43 秒 (日本時間)
6026e74008 / 38714Jason Parker-BurlinghamMay 27, 2021 03:31:15 UTC 2021 年 5 月 27 日 (木) 12 時 31 分 15 秒 (日本時間)

64×10238+719

c203

name 名前Serge Batalov
date 日付November 19, 2013 08:11:21 UTC 2013 年 11 月 19 日 (火) 17 時 11 分 21 秒 (日本時間)
composite number 合成数
38391924447274576959401223310609168064103730331763987499052498590090710712427187048722961571892758939613821150326164468495254053210740240237030854286553739803248448690166562192334085810328389535788557527<203>
prime factors 素因数
250211915064741998518189801903069717<36>
composite cofactor 合成数の残り
153437634803845044047147552877802843405354237094282749547511736909848763729698724621887595078259098999676877265763533481980857782439306848064190167058159836053039503931<168>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1360723945
Step 1 took 60057ms
Step 2 took 19784ms
********** Factor found in step 2: 250211915064741998518189801903069717
Found probable prime factor of 36 digits: 250211915064741998518189801903069717
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:00:16 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 16 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:57:46 UTC 2014 年 3 月 4 日 (火) 20 時 57 分 46 秒 (日本時間)
4511e6700 / 4077400Serge BatalovNovember 19, 2013 18:03:28 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 28 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:32 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 32 秒 (日本時間)

64×10239+719

c231

name 名前Serge Batalov
date 日付November 19, 2013 16:19:20 UTC 2013 年 11 月 20 日 (水) 1 時 19 分 20 秒 (日本時間)
composite number 合成数
669611055919099900707969631093370799896602134352325173663410252159022977940991162036885899369734567802286746678050213649917145764928568538041354940473878393663103296173386013304945059620777406694710716353254631265394403295856335641<231>
prime factors 素因数
218522007469203911057775658407072445973<39>
composite cofactor 合成数の残り
3064272855966086253914471395098439015377245736405328860555445684667048749354362301273879550476952405686880163104936054664197128554551383873518059856991520357870101258032469001617713877064201717<193>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1357204649
Step 1 took 77370ms
Step 2 took 27158ms
********** Factor found in step 2: 218522007469203911057775658407072445973
Found probable prime factor of 39 digits: 218522007469203911057775658407072445973
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e63390290CypJanuary 4, 2014 22:04:10 UTC 2014 年 1 月 5 日 (日) 7 時 4 分 10 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:00:17 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 17 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:57:58 UTC 2014 年 3 月 4 日 (火) 20 時 57 分 58 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:17 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 17 秒 (日本時間)

64×10240+719

c224

name 名前Serge Batalov
date 日付January 9, 2014 17:29:07 UTC 2014 年 1 月 10 日 (金) 2 時 29 分 7 秒 (日本時間)
composite number 合成数
11264792862710805425323711503738512553243102786475677628765657417716829319798453400224983291289996939766019020030552972810597219139153948712202762852167368265406659306655385391346481860264529296989987719612055867211830309047<224>
prime factors 素因数
22985380151582698808830970693049533063<38>
composite cofactor 合成数の残り
490085123170571024236719843354228873558105606879322123526603241797468251190673686801444251405301007110095946943226744260316270543716822356298699055437927011203942773293738671754778917969<186>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1641463781
Step 1 took 21622ms
Step 2 took 7716ms
********** Factor found in step 2: 22985380151582698808830970693049533063
Found probable prime factor of 38 digits: 22985380151582698808830970693049533063
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:00:18 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 18 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:58:09 UTC 2014 年 3 月 4 日 (火) 20 時 58 分 9 秒 (日本時間)
4511e6700 / 4077400Serge BatalovNovember 19, 2013 18:03:30 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 30 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:32 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 32 秒 (日本時間)

64×10241+719

c226

composite cofactor 合成数の残り
1633374419073509931477974037996630967573874730978224399070097244054043224530426691837042984746614416778097515604554857498240918877232629926872554500593470826478603387723204151967702299725297923415805361605861904632080134243547<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:00:18 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 18 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:58:20 UTC 2014 年 3 月 4 日 (火) 20 時 58 分 20 秒 (日本時間)
4511e6700 / 4077400Serge BatalovNovember 19, 2013 18:03:31 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 31 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:33 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 33 秒 (日本時間)

64×10243+719

c223

composite cofactor 合成数の残り
8065633537987264758609703308760350987911602361772461062937290950698101434637521297146309907426116598693691445706571139601544314956680478830244073022708974455756257541111676305316828540339631548953697393966371104717534351607<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:00:19 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 19 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:58:33 UTC 2014 年 3 月 4 日 (火) 20 時 58 分 33 秒 (日本時間)
4511e6700 / 4077400Serge BatalovNovember 19, 2013 18:03:31 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 31 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:33 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 33 秒 (日本時間)

64×10244+719

c202

composite cofactor 合成数の残り
1862947274911887068389507127617514395431539861630373301244810397344756423680385633721935352083654333301852677903878178865687829705807580155212807700519695313443629193809935935995599905136476740716987031<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 05:00:20 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 20 秒 (日本時間)
4511e6700 / 4082400Serge BatalovNovember 19, 2013 18:03:33 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 33 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:33 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 33 秒 (日本時間)
5043e693 / 7384CypFebruary 12, 2014 02:00:49 UTC 2014 年 2 月 12 日 (水) 11 時 0 分 49 秒 (日本時間)

64×10245+719

c217

composite cofactor 合成数の残り
1152451949915956226976243436433846932601023925649379814610162182038404815753355325577067587653428932063921300293721632648840652388053990444419614270023686038601056062274444181496698877155961041310611621329189888721769<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:00:20 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 20 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:58:52 UTC 2014 年 3 月 4 日 (火) 20 時 58 分 52 秒 (日本時間)
4511e6700 / 4077400Serge BatalovNovember 19, 2013 18:03:33 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 33 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:34 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 34 秒 (日本時間)

64×10246+719

c213

name 名前Serge Batalov
date 日付November 19, 2013 08:04:00 UTC 2013 年 11 月 19 日 (火) 17 時 4 分 0 秒 (日本時間)
composite number 合成数
396127234985354722524509919126293580370368270063418707986234092489774435438381119538426222454311333912234223980091431193995568127807040223814161153925266643318404373584756880006704417179829234774554723300774441991<213>
prime factors 素因数
377682685441081762006192593102874081<36>
4712774211267046116352709507355987509<37>
222551739883726755899947222493334446244223625352132920503373417654949990218696646838931876141979902764602670629956897128534628412336653915179<141>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1198202002
Step 1 took 78193ms
Step 2 took 26174ms
********** Factor found in step 2: 377682685441081762006192593102874081
Found probable prime factor of 36 digits: 377682685441081762006192593102874081

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3804721009
Step 1 took 69192ms
Step 2 took 21696ms
********** Factor found in step 2: 4712774211267046116352709507355987509
Found probable prime factor of 37 digits: 4712774211267046116352709507355987509
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)

64×10247+719

c215

composite cofactor 合成数の残り
31794300251272578930109352597041692755525381056242741559029606594940557769368242526983354482313214891574848972193140763632412979240063344479615865866776846023909112580034157862353948414682698866337803258532314714943<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 05:00:22 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 22 秒 (日本時間)
4511e6700 / 4082400Serge BatalovNovember 19, 2013 18:03:35 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 35 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:34 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 34 秒 (日本時間)
5043e693 / 7384CypFebruary 8, 2014 05:39:22 UTC 2014 年 2 月 8 日 (土) 14 時 39 分 22 秒 (日本時間)

64×10248+719

c200

composite cofactor 合成数の残り
17734125077343458195983752207604451497349016482839389506149364143698502833495987698405105546163153124123996096436215023084268370485655373009584612475341075965240122527315788753714410661789533979660667<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62318Justin CardNovember 19, 2013 11:32:46 UTC 2013 年 11 月 19 日 (火) 20 時 32 分 46 秒 (日本時間)
4511e6700 / 3963400Serge BatalovNovember 19, 2013 18:03:36 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 36 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:34 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 34 秒 (日本時間)

64×10251+719

c168

name 名前Ignacio Santos
date 日付February 27, 2021 19:49:59 UTC 2021 年 2 月 28 日 (日) 4 時 49 分 59 秒 (日本時間)
composite number 合成数
996251687333046351527659122476924128717126582052193610046437341729877579346453139287646479419926764915154232211363666416317285848296246431426766647167071301403469411921<168>
prime factors 素因数
55753173930684713551410535649180694386743<41>
17868968115997108882603001857879939044020351897535871741905835689459768291799925418165760768846972220660166288413692786088645047<128>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3928589439
Step 1 took 7141ms
Step 2 took 3734ms
********** Factor found in step 2: 55753173930684713551410535649180694386743
Found prime factor of 41 digits: 55753173930684713551410535649180694386743
Prime cofactor 17868968115997108882603001857879939044020351897535871741905835689459768291799925418165760768846972220660166288413692786088645047 has 128 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
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosFebruary 27, 2021 09:01:41 UTC 2021 年 2 月 27 日 (土) 18 時 1 分 41 秒 (日本時間)

64×10254+719

c253

composite cofactor 合成数の残り
4529370134465675866949752300070771408351026185421089879688605803255484784147204529370134465675866949752300070771408351026185421089879688605803255484784147204529370134465675866949752300070771408351026185421089879688605803255484784147204529370134465675867<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 17:22:05 UTC 2021 年 5 月 14 日 (金) 2 時 22 分 5 秒 (日本時間)
403e62087587Marlon TrifunovicMarch 4, 2022 20:29:14 UTC 2022 年 3 月 5 日 (土) 5 時 29 分 14 秒 (日本時間)
1500ebinaJune 11, 2022 11:17:33 UTC 2022 年 6 月 11 日 (土) 20 時 17 分 33 秒 (日本時間)

64×10255+719

c202

composite cofactor 合成数の残り
1064636458896648323509937643921256379513319771657658985456828964568619738785025754915302386494719890134842079704264796345767969440635590745289442468916910061203115445052515454665414489110063252365899811<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 17:21:56 UTC 2021 年 5 月 14 日 (金) 2 時 21 分 56 秒 (日本時間)
403e62937587Marlon TrifunovicFebruary 17, 2022 15:20:12 UTC 2022 年 2 月 18 日 (金) 0 時 20 分 12 秒 (日本時間)
2350Ignacio SantosJuly 14, 2024 16:00:43 UTC 2024 年 7 月 15 日 (月) 1 時 0 分 43 秒 (日本時間)

64×10256+719

c192

name 名前Ignacio Santos
date 日付July 14, 2024 16:01:03 UTC 2024 年 7 月 15 日 (月) 1 時 1 分 3 秒 (日本時間)
composite number 合成数
385075089583751648757620644160067532255564497055282935373953150864934003008171454395714836869077062764204227012936857234533737566268132741771244740441565879688911479273604725354292522313535271<192>
prime factors 素因数
1027941575209659447064856576964660250681<40>
374607953282959250292233567522155289663729364076061393822797286319451595148533888966002927817239671463751901817586694902380993925087010072005674670199391<153>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2620079319
Step 1 took 7437ms
Step 2 took 3657ms
********** Factor found in step 2: 1027941575209659447064856576964660250681
Found prime factor of 40 digits: 1027941575209659447064856576964660250681
Prime cofactor 374607953282959250292233567522155289663729364076061393822797286319451595148533888966002927817239671463751901817586694902380993925087010072005674670199391 has 153 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
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 17:21:46 UTC 2021 年 5 月 14 日 (金) 2 時 21 分 46 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 16, 2022 21:24:34 UTC 2022 年 2 月 17 日 (木) 6 時 24 分 34 秒 (日本時間)

64×10258+719

c227

name 名前Marlon Trifunovic
date 日付February 18, 2022 17:10:33 UTC 2022 年 2 月 19 日 (土) 2 時 10 分 33 秒 (日本時間)
composite number 合成数
17033283395233617156187774450609344098490139650442105538148795982211632685430629348248571931514994034406100596048112249975517025094623045483430568406816069657505639392702741983399633778317385516138165406383919675802952495643423<227>
prime factors 素因数
112511340103411923892582838872602780803<39>
composite cofactor 合成数の残り
151391703090354357865078768293086633283415287389551099901930677925793643331775647748686589984921595822195717776909304200603862348284464351682964241741868791256761577693439443277897898943541<189>
factorization results 素因数分解の結果
Run 3 out of 587:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:281806777
Step 1 took 20608ms
Step 2 took 8400ms
********** Factor found in step 2: 112511340103411923892582838872602780803
Found prime factor of 39 digits: 112511340103411923892582838872602780803
Composite cofactor 151391703090354357865078768293086633283415287389551099901930677925793643331775647748686589984921595822195717776909304200603862348284464351682964241741868791256761577693439443277897898943541 has 189 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 17:21:34 UTC 2021 年 5 月 14 日 (金) 2 時 21 分 34 秒 (日本時間)
403e62937587Marlon TrifunovicFebruary 18, 2022 15:01:32 UTC 2022 年 2 月 19 日 (土) 0 時 1 分 32 秒 (日本時間)
2350Ignacio SantosJuly 14, 2024 16:07:17 UTC 2024 年 7 月 15 日 (月) 1 時 7 分 17 秒 (日本時間)

64×10259+719

c226

composite cofactor 合成数の残り
5491278979826901423698024590789281838541675621082173876412915899012251724863993358541461553302749673976327196890013793059622575592932222862803675128007837846222809896609929699939210510266449376896800061785938379459501218414461<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 17:21:23 UTC 2021 年 5 月 14 日 (金) 2 時 21 分 23 秒 (日本時間)
403e62937587Marlon TrifunovicFebruary 18, 2022 16:06:28 UTC 2022 年 2 月 19 日 (土) 1 時 6 分 28 秒 (日本時間)
2350Ignacio SantosJuly 14, 2024 16:16:02 UTC 2024 年 7 月 15 日 (月) 1 時 16 分 2 秒 (日本時間)

64×10261+719

c166

name 名前Ignacio Santos
date 日付February 27, 2021 19:03:06 UTC 2021 年 2 月 28 日 (日) 4 時 3 分 6 秒 (日本時間)
composite number 合成数
7699543622062087904765774947409872293732672968769425130087221224872335877252749580385755908125636738594554477420384397491455495234204487624234203312906671030137875479<166>
prime factors 素因数
13063036339944589115992029082646904323<38>
589414545109865926144814557725161959199597298017101054769179281013052381995215659419089440043761261251902588043864951577858881373<129>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2752973507
Step 1 took 7109ms
Step 2 took 3797ms
********** Factor found in step 2: 13063036339944589115992029082646904323
Found prime factor of 38 digits: 13063036339944589115992029082646904323
Prime cofactor 589414545109865926144814557725161959199597298017101054769179281013052381995215659419089440043761261251902588043864951577858881373 has 129 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
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosFebruary 27, 2021 09:00:14 UTC 2021 年 2 月 27 日 (土) 18 時 0 分 14 秒 (日本時間)

64×10263+719

c219

composite cofactor 合成数の残り
679567171731636014524983163647615908485627094707967505558931833265066795816563528856616900659611650412815759368588958922647906550894412208631261252334639368786752032470127167878037334292905752068916545842942651184234483<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 17:21:06 UTC 2021 年 5 月 14 日 (金) 2 時 21 分 6 秒 (日本時間)
403e62937587Marlon TrifunovicFebruary 19, 2022 00:54:18 UTC 2022 年 2 月 19 日 (土) 9 時 54 分 18 秒 (日本時間)
2350Ignacio SantosJuly 14, 2024 16:31:55 UTC 2024 年 7 月 15 日 (月) 1 時 31 分 55 秒 (日本時間)

64×10265+719

c240

composite cofactor 合成数の残り
151802308820787494197018739221602646863296891240188613313927904716393918219357195470935584555724680148126265038664912772843583379673809997067276311676226351925873249681622659032403848996818183791497426179696640047148197524115801724910425269<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 17:20:58 UTC 2021 年 5 月 14 日 (金) 2 時 20 分 58 秒 (日本時間)
403e62937587Marlon TrifunovicFebruary 22, 2022 18:38:32 UTC 2022 年 2 月 23 日 (水) 3 時 38 分 32 秒 (日本時間)
2350Ignacio SantosJuly 15, 2024 06:14:05 UTC 2024 年 7 月 15 日 (月) 15 時 14 分 5 秒 (日本時間)

64×10266+719

c260

composite cofactor 合成数の残り
23118383981323755704727650644546505607676494078574525067388373487997634006787391373531788910413910499249846368404763486668290805386304602141660361398354322893435964364730522598041535492865650448249752121255317124463588922709278529817002566491009934153821397169<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 17:20:48 UTC 2021 年 5 月 14 日 (金) 2 時 20 分 48 秒 (日本時間)
403e62937587Marlon TrifunovicMarch 5, 2022 17:34:25 UTC 2022 年 3 月 6 日 (日) 2 時 34 分 25 秒 (日本時間)
2350Ignacio SantosJuly 15, 2024 06:14:23 UTC 2024 年 7 月 15 日 (月) 15 時 14 分 23 秒 (日本時間)

64×10267+719

c246

composite cofactor 合成数の残り
182528423430650615558592163543099403306564812916820552240583635691476043996191177202278717764130199537893842386650771971893051775797319082327164795543668361936957252544283629757214327368061751705620116982147552926290422028346376903722105975252687<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 17:20:38 UTC 2021 年 5 月 14 日 (金) 2 時 20 分 38 秒 (日本時間)
403e62937587Marlon TrifunovicFebruary 20, 2022 11:10:13 UTC 2022 年 2 月 20 日 (日) 20 時 10 分 13 秒 (日本時間)
2350Ignacio SantosJuly 15, 2024 06:39:46 UTC 2024 年 7 月 15 日 (月) 15 時 39 分 46 秒 (日本時間)

64×10268+719

c261

composite cofactor 合成数の残り
623676761946028702795417573581601199516736654844571550548124997526610029040212341745907454770622586682160590504096614476625376019957687566111015790888502125489917464595548791859031846117527327101397259788246946486125848032661304958473004160616868082735863907447<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 17:20:29 UTC 2021 年 5 月 14 日 (金) 2 時 20 分 29 秒 (日本時間)
403e62937587Marlon TrifunovicMarch 5, 2022 20:31:55 UTC 2022 年 3 月 6 日 (日) 5 時 31 分 55 秒 (日本時間)
2350Ignacio SantosJuly 15, 2024 06:39:58 UTC 2024 年 7 月 15 日 (月) 15 時 39 分 58 秒 (日本時間)

64×10269+719

c219

composite cofactor 合成数の残り
372431425539853407798479692301864487922964712957377146784846838261175034453588641333804385679434599736961910863535248573412497972411659819635458591607811421902845796623496103471397489191793927072659488661178053203462471<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 17:20:02 UTC 2021 年 5 月 14 日 (金) 2 時 20 分 2 秒 (日本時間)
403e62937587Marlon TrifunovicFebruary 20, 2022 02:27:53 UTC 2022 年 2 月 20 日 (日) 11 時 27 分 53 秒 (日本時間)
2350Ignacio SantosJuly 15, 2024 06:51:55 UTC 2024 年 7 月 15 日 (月) 15 時 51 分 55 秒 (日本時間)

64×10270+719

c204

composite cofactor 合成数の残り
605185433209399571771621689108736290390817372307290368603132585157839228144775836570264476921582954949429874745257940538344698373582404683049883335862813684679149040369057275918397628844349012471245917741<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 17:19:50 UTC 2021 年 5 月 14 日 (金) 2 時 19 分 50 秒 (日本時間)
403e62187587Marlon TrifunovicFebruary 20, 2022 03:07:01 UTC 2022 年 2 月 20 日 (日) 12 時 7 分 1 秒 (日本時間)
1600ebinaJune 11, 2022 11:18:32 UTC 2022 年 6 月 11 日 (土) 20 時 18 分 32 秒 (日本時間)

64×10274+719

c273

composite cofactor 合成数の残り
900140646976090014064697609001406469760900140646976090014064697609001406469760900140646976090014064697609001406469760900140646976090014064697609001406469760900140646976090014064697609001406469760900140646976090014064697609001406469760900140646976090014064697609001406469761<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 17:19:32 UTC 2021 年 5 月 14 日 (金) 2 時 19 分 32 秒 (日本時間)
403e62187587Marlon TrifunovicMarch 8, 2022 13:25:05 UTC 2022 年 3 月 8 日 (火) 22 時 25 分 5 秒 (日本時間)
1600ebinaJune 11, 2022 09:13:54 UTC 2022 年 6 月 11 日 (土) 18 時 13 分 54 秒 (日本時間)

64×10277+719

c267

composite cofactor 合成数の残り
332285842565051425321416352196338506882323900009750309634966622774880868575487333080093751820790339064997773344165774149906175378356551616450164775842265410584809898907762414531789943921245157548240488282469765909900492685979205880927994468398186332952835827910131079<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 17:19:02 UTC 2021 年 5 月 14 日 (金) 2 時 19 分 2 秒 (日本時間)
403e62937587Marlon TrifunovicMarch 6, 2022 01:10:30 UTC 2022 年 3 月 6 日 (日) 10 時 10 分 30 秒 (日本時間)
2350Ignacio SantosJuly 12, 2024 06:07:18 UTC 2024 年 7 月 12 日 (金) 15 時 7 分 18 秒 (日本時間)

64×10278+719

c253

composite cofactor 合成数の残り
6365183057953029892611511380215370039315449853946911188354439750559280405370840680054843350733879402314016830066244872077016440493807851537624168234759270137116034827264429269274898192671723523685708618173179891678099672045033765982120653748643065786497<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 17:18:52 UTC 2021 年 5 月 14 日 (金) 2 時 18 分 52 秒 (日本時間)
403e62937587Marlon TrifunovicMarch 4, 2022 20:31:47 UTC 2022 年 3 月 5 日 (土) 5 時 31 分 47 秒 (日本時間)
2350Ignacio SantosJuly 12, 2024 06:07:49 UTC 2024 年 7 月 12 日 (金) 15 時 7 分 49 秒 (日本時間)

64×10280+719

c278

composite cofactor 合成数の残り
64823255342854248961815051149599918970930821432188797731186063000101286336473209764002836017421249873392079408487794996454978223437658259900739390256254431277220702927175124075762179681960903474121341031094905297275397548870657348323711131368378405753063911678314595361085789527<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 17:18:41 UTC 2021 年 5 月 14 日 (金) 2 時 18 分 41 秒 (日本時間)
403e62187587Marlon TrifunovicMarch 8, 2022 21:52:10 UTC 2022 年 3 月 9 日 (水) 6 時 52 分 10 秒 (日本時間)
1600ebinaJune 11, 2022 03:09:30 UTC 2022 年 6 月 11 日 (土) 12 時 9 分 30 秒 (日本時間)

64×10281+719

c282

name 名前Dmitry Domanov
date 日付February 21, 2021 00:09:13 UTC 2021 年 2 月 21 日 (日) 9 時 9 分 13 秒 (日本時間)
composite number 合成数
711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119<282>
prime factors 素因数
269451376367102963338116543786819491<36>
composite cofactor 合成数の残り
2639107362147176334699596325638567732481156917770166654882660076610839458662161256846564544703346229558664446648988879503507184744315745354964942048504363877241196267748641356058515632417161904530519097617723330172895649347643478591546404164212709<247>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1010937350
Step 1 took 26374ms
Step 2 took 10110ms
********** Factor found in step 2: 269451376367102963338116543786819491
Found prime factor of 36 digits: 269451376367102963338116543786819491
Composite cofactor 2639107362147176334699596325638567732481156917770166654882660076610839458662161256846564544703346229558664446648988879503507184744315745354964942048504363877241196267748641356058515632417161904530519097617723330172895649347643478591546404164212709 has 247 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e635501200Dmitry DomanovFebruary 20, 2021 23:05:24 UTC 2021 年 2 月 21 日 (日) 8 時 5 分 24 秒 (日本時間)
2350Ignacio SantosJuly 13, 2024 06:21:36 UTC 2024 年 7 月 13 日 (土) 15 時 21 分 36 秒 (日本時間)

64×10282+719

c251

composite cofactor 合成数の残り
10207200034106752373151493160015238570695174523671572100117984323217063600988527341473317107564502352857051194865582086973871229467030172881664223517332486081300923538498936869958002175827041031265745581118962831842829075343897788883172781681783778401<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 17:18:24 UTC 2021 年 5 月 14 日 (金) 2 時 18 分 24 秒 (日本時間)
403e62937587Marlon TrifunovicFebruary 21, 2022 18:30:51 UTC 2022 年 2 月 22 日 (火) 3 時 30 分 51 秒 (日本時間)
2350Ignacio SantosJuly 13, 2024 06:21:57 UTC 2024 年 7 月 13 日 (土) 15 時 21 分 57 秒 (日本時間)

64×10283+719

c216

composite cofactor 合成数の残り
408664827581027006421616649615893492368277071411297696367338160623712033158806578653044876161968816561821897377600825348434344629762842641312664946900066665822640842422046666386846902714312184026024118136670236237461<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 17:18:13 UTC 2021 年 5 月 14 日 (金) 2 時 18 分 13 秒 (日本時間)
403e62937587Marlon TrifunovicFebruary 21, 2022 15:14:54 UTC 2022 年 2 月 22 日 (火) 0 時 14 分 54 秒 (日本時間)
2350Ignacio SantosJuly 13, 2024 06:22:24 UTC 2024 年 7 月 13 日 (土) 15 時 22 分 24 秒 (日本時間)

64×10284+719

c240

composite cofactor 合成数の残り
411314454463299323505033433443463781000507962021115220436433738603439210974253115817047966047463909684052859946024401521444447586983323583923872137867683380443742555609076866272804115206944226760268191530284209897416742834524283415424762591<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 17:18:03 UTC 2021 年 5 月 14 日 (金) 2 時 18 分 3 秒 (日本時間)
403e62937587Marlon TrifunovicFebruary 21, 2022 16:33:57 UTC 2022 年 2 月 22 日 (火) 1 時 33 分 57 秒 (日本時間)
2350Ignacio SantosJuly 13, 2024 06:36:32 UTC 2024 年 7 月 13 日 (土) 15 時 36 分 32 秒 (日本時間)

64×10285+719

c271

composite cofactor 合成数の残り
5182408974599687509171164861890964760910785474886460762268740020715321518621388705136531496839243114250219695146401169877421412146760224506931869733838563404150275182673597638686269151023648979295409915013767737733709617573013909775703644014384607389937635599310517704061<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 17:17:44 UTC 2021 年 5 月 14 日 (金) 2 時 17 分 44 秒 (日本時間)
403e62937587Marlon TrifunovicMarch 8, 2022 23:39:55 UTC 2022 年 3 月 9 日 (水) 8 時 39 分 55 秒 (日本時間)
2350Ignacio SantosJuly 13, 2024 06:55:03 UTC 2024 年 7 月 13 日 (土) 15 時 55 分 3 秒 (日本時間)

64×10286+719

c217

composite cofactor 合成数の残り
1167305889924012126255120130773203020861952909329094126200323278733872894173127629512853459711123569356169156652775430332070404702361525476720987699239863512478896513584824298989720522921411694213526572505433139105931<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 17:17:33 UTC 2021 年 5 月 14 日 (金) 2 時 17 分 33 秒 (日本時間)
403e62937587Marlon TrifunovicFebruary 21, 2022 23:54:40 UTC 2022 年 2 月 22 日 (火) 8 時 54 分 40 秒 (日本時間)
2350Ignacio SantosJuly 13, 2024 06:55:18 UTC 2024 年 7 月 13 日 (土) 15 時 55 分 18 秒 (日本時間)

64×10288+719

c284

composite cofactor 合成数の残り
51188165296183522369628141973575709296010762311753522585578214316849944292879486262776046178123617819560117700787577911986748663708950490646562514746590588255995213906544806840658439768725470671180822993723851045638248436961374530208615768034430439682345441733871128994976361465229239<284>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 17:17:22 UTC 2021 年 5 月 14 日 (金) 2 時 17 分 22 秒 (日本時間)
403e62937587Marlon TrifunovicMarch 9, 2022 11:57:57 UTC 2022 年 3 月 9 日 (水) 20 時 57 分 57 秒 (日本時間)
2350Ignacio SantosJuly 13, 2024 07:13:45 UTC 2024 年 7 月 13 日 (土) 16 時 13 分 45 秒 (日本時間)

64×10289+719

c279

composite cofactor 合成数の残り
157561153067121144622385557390256502964393950045111948235453881772668075663702033035210982267914455183165290116366344662259310927466814986833290519548085369033090259336766799694649585667032979331189381380497470658431292321778838231856812621169174931886785184702396081878498824271<279>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 17:17:09 UTC 2021 年 5 月 14 日 (金) 2 時 17 分 9 秒 (日本時間)
403e62937587Marlon TrifunovicMarch 9, 2022 05:18:09 UTC 2022 年 3 月 9 日 (水) 14 時 18 分 9 秒 (日本時間)
2350Ignacio SantosJuly 13, 2024 07:42:52 UTC 2024 年 7 月 13 日 (土) 16 時 42 分 52 秒 (日本時間)

64×10291+719

c246

composite cofactor 合成数の残り
120268880062690291778422461481637729309892087515562986792169952375548710855386265575063353522680637950512540637661685443778755638438605157498560929343949007238861480411937346872785180310322812250850461900355705991371821324933488176371398679232879<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 17:16:55 UTC 2021 年 5 月 14 日 (金) 2 時 16 分 55 秒 (日本時間)
403e62937587Marlon TrifunovicMarch 3, 2022 17:14:57 UTC 2022 年 3 月 4 日 (金) 2 時 14 分 57 秒 (日本時間)
2350Ignacio SantosJuly 13, 2024 07:43:22 UTC 2024 年 7 月 13 日 (土) 16 時 43 分 22 秒 (日本時間)

64×10292+719

c282

composite cofactor 合成数の残り
839344632116381166840348793684067898335086332263094355548811768190751575959962903917399460722983636558362608599576489101004600446962072082253931764298593218423965169010636165666043443489774957580674194984976484901842356823165541483494837271312805484674188914878072667779577292105083<282>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 17:16:40 UTC 2021 年 5 月 14 日 (金) 2 時 16 分 40 秒 (日本時間)
403e62187587Marlon TrifunovicMarch 9, 2022 08:21:05 UTC 2022 年 3 月 9 日 (水) 17 時 21 分 5 秒 (日本時間)
1600ebinaJune 11, 2022 23:35:57 UTC 2022 年 6 月 12 日 (日) 8 時 35 分 57 秒 (日本時間)

64×10296+719

c274

composite cofactor 合成数の残り
2513515240754032293039559498096802255214460555927540379461616555443929025073609088423450425805032458323508532391564538228960382412525672634193467223865348644932838721004397668030344945415426049858302272103169325121412711735034022407358286466976172500841500712857964841631063<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 17:16:21 UTC 2021 年 5 月 14 日 (金) 2 時 16 分 21 秒 (日本時間)
403e62187587Marlon TrifunovicMarch 8, 2022 11:35:54 UTC 2022 年 3 月 8 日 (火) 20 時 35 分 54 秒 (日本時間)
1600ebinaJune 11, 2022 21:57:23 UTC 2022 年 6 月 12 日 (日) 6 時 57 分 23 秒 (日本時間)

64×10297+719

c234

composite cofactor 合成数の残り
356768101509103324105991572456745477582844495859689984154637953145196774059042440757106225914369243184206731836441016887840041557174695951459437731405233698423399231191830647456587742029399519067276766770287412364808231550248996288061<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 17:16:10 UTC 2021 年 5 月 14 日 (金) 2 時 16 分 10 秒 (日本時間)
403e62187587Marlon TrifunovicFebruary 22, 2022 21:29:08 UTC 2022 年 2 月 23 日 (水) 6 時 29 分 8 秒 (日本時間)
1600ebinaJune 11, 2022 19:53:36 UTC 2022 年 6 月 12 日 (日) 4 時 53 分 36 秒 (日本時間)

64×10298+719

c271

composite cofactor 合成数の残り
3577990606596106625142710603229271784990652235980192953827830884862461816601767657848640791208757959985178584194591709948904822757751811337140267690891997745423772106531561658743780066068690146427938289017192309724378303278886911721762704216570914582076477379205805184759<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 17:16:00 UTC 2021 年 5 月 14 日 (金) 2 時 16 分 0 秒 (日本時間)
403e62187587Marlon TrifunovicMarch 9, 2022 03:23:53 UTC 2022 年 3 月 9 日 (水) 12 時 23 分 53 秒 (日本時間)
1600ebinaJune 11, 2022 00:03:23 UTC 2022 年 6 月 11 日 (土) 9 時 3 分 23 秒 (日本時間)

64×10300+719

c242

composite cofactor 合成数の残り
23631334283038049221937831913513406444993167693663196728030030578654777414860205158372251435857382087963226774875514461716041058086992680599186842082544122538292108690156153194120807090409449582447861359436219629061533259413961611642608492953<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 21, 2021 11:38:44 UTC 2021 年 1 月 21 日 (木) 20 時 38 分 44 秒 (日本時間)
4511e62000Dmitry DomanovMarch 19, 2021 13:56:34 UTC 2021 年 3 月 19 日 (金) 22 時 56 分 34 秒 (日本時間)
5043e6640 / 7059Dmitry DomanovMay 15, 2021 11:26:19 UTC 2021 年 5 月 15 日 (土) 20 時 26 分 19 秒 (日本時間)