Table of contents 目次

89×10101-539

c102

name 名前Erik Branger
date 日付October 21, 2010 08:21:50 UTC 2010 年 10 月 21 日 (木) 17 時 21 分 50 秒 (日本時間)
composite number 合成数
141269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269<102>
prime factors 素因数
56734188775349200737584651617174592230645867<44>
2490030162046178820542680545917793722048530733187963400607<58>
factorization results 素因数分解の結果
Number: 98883_101
N = 141269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269 (102 digits)
SNFS difficulty: 103 digits.
Divisors found:
r1=56734188775349200737584651617174592230645867 (pp44)
r2=2490030162046178820542680545917793722048530733187963400607 (pp58)
Version: Msieve v. 1.47
Total time: 0.23 hours.
Factorization parameters were as follows:
n: 141269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269
m: 10000000000000000000000000
deg: 4
c4: 890
c0: -53
skew: 0.49
type: snfs
lss: 1
rlim: 360000
alim: 360000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2
Factor base limits: 360000/360000
Large primes per side: 3
Large prime bits: 25/25
Sieved rational special-q in [180000, 280000)
Relations: 933334
Relations in full relation-set: 69200 relations
Pruned matrix : 38918 x 39145
Polynomial selection time: 0.00 hours.
Total sieving time: 0.22 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
time per square root: 0.00 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)

89×10104-539

c90

name 名前Erik Branger
date 日付October 21, 2010 08:31:16 UTC 2010 年 10 月 21 日 (木) 17 時 31 分 16 秒 (日本時間)
composite number 合成数
499001031308046723881056610143964500935915752308789582227058220261715091932949608615117739<90>
prime factors 素因数
21717851006558602684738777075001704435878773<44>
22976538109472835933457009302970177885650128543<47>
factorization results 素因数分解の結果
Number: 98883_104
N = 499001031308046723881056610143964500935915752308789582227058220261715091932949608615117739 (90 digits)
SNFS difficulty: 106 digits.
Divisors found:
r1=21717851006558602684738777075001704435878773 (pp44)
r2=22976538109472835933457009302970177885650128543 (pp47)
Version: Msieve v. 1.47
Total time: 0.33 hours.
Factorization parameters were as follows:
n: 499001031308046723881056610143964500935915752308789582227058220261715091932949608615117739
m: 100000000000000000000000000
deg: 4
c4: 89
c0: -53
skew: 0.49
type: snfs
lss: 1
rlim: 360000
alim: 360000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2
Factor base limits: 360000/360000
Large primes per side: 3
Large prime bits: 25/25
Sieved rational special-q in [180000, 340000)
Relations: 995669
Relations in full relation-set: 79346 relations
Pruned matrix : 45044 x 45269
Polynomial selection time: 0.00 hours.
Total sieving time: 0.31 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
time per square root: 0.00 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)

89×10121-539

c92

name 名前Erik Branger
date 日付October 21, 2010 10:17:59 UTC 2010 年 10 月 21 日 (木) 19 時 17 分 59 秒 (日本時間)
composite number 合成数
28259087127722182113424480158619039492944433121128308905052081200462448505786704841958944811<92>
prime factors 素因数
96977520296958014727677525392523429497<38>
291398326552268129412831510680131662773607802824954563<54>
factorization results 素因数分解の結果
Number: 98883_121
N = 28259087127722182113424480158619039492944433121128308905052081200462448505786704841958944811 (92 digits)
SNFS difficulty: 123 digits.
Divisors found:
r1=96977520296958014727677525392523429497 (pp38)
r2=291398326552268129412831510680131662773607802824954563 (pp54)
Version: Msieve v. 1.47
Total time: 2.16 hours.
Factorization parameters were as follows:
n: 28259087127722182113424480158619039492944433121128308905052081200462448505786704841958944811
m: 1000000000000000000000000
deg: 5
c5: 890
c0: -53
skew: 0.57
type: snfs
lss: 1
rlim: 780000
alim: 780000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 780000/780000
Large primes per side: 3
Large prime bits: 25/25
Sieved rational special-q in [390000, 790000)
Relations: 1935770
Relations in full relation-set: 107690 relations
Pruned matrix : 81805 x 82030
Polynomial selection time: 0.00 hours.
Total sieving time: 2.12 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
time per square root: 0.01 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)

89×10124-539

c115

name 名前Serge Batalov
date 日付October 21, 2010 08:45:27 UTC 2010 年 10 月 21 日 (木) 17 時 45 分 27 秒 (日本時間)
composite number 合成数
7612218678951760289989227714223941786054208859812309717937925814177084593506467225322402241605149812282497926888087<115>
prime factors 素因数
345061565840818390553229507604709<33>
22060465240175084153141627976190348625144012447960388266955417159924899649342378443<83>
factorization results 素因数分解の結果
Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=2025456811
Step 1 took 2309ms
Step 2 took 1622ms
********** Factor found in step 2: 345061565840818390553229507604709
Found probable prime factor of 33 digits: 345061565840818390553229507604709
Probable prime cofactor 22060465240175084153141627976190348625144012447960388266955417159924899649342378443 has 83 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)

89×10126-539

c93

name 名前Sinkiti Sibata
date 日付October 21, 2010 14:21:54 UTC 2010 年 10 月 21 日 (木) 23 時 21 分 54 秒 (日本時間)
composite number 合成数
166480157174567212372824390901667841674748534612075734977770559022049961283694080421454814413<93>
prime factors 素因数
359506228407797817607623240997277<33>
463080035947872881733837756082844743359349641803544380489969<60>
factorization results 素因数分解の結果
Number: 98883_126
N=166480157174567212372824390901667841674748534612075734977770559022049961283694080421454814413
  ( 93 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=359506228407797817607623240997277 (pp33)
 r2=463080035947872881733837756082844743359349641803544380489969 (pp60)
Version: Msieve-1.40
Total time: 2.70 hours.
Scaled time: 5.28 units (timescale=1.957).
Factorization parameters were as follows:
name: 98883_126
n: 166480157174567212372824390901667841674748534612075734977770559022049961283694080421454814413
m: 10000000000000000000000000
deg: 5
c5: 890
c0: -53
skew: 0.57
type: snfs
lss: 1
rlim: 950000
alim: 950000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 950000/950000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [475000, 825001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 130667 x 130905
Total sieving time: 2.58 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,127.000,5,0,0,0,0,0,0,0,0,950000,950000,26,26,46,46,2.3,2.3,50000
total time: 2.70 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 KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)

89×10127-539

c93

name 名前Sinkiti Sibata
date 日付October 21, 2010 19:07:21 UTC 2010 年 10 月 22 日 (金) 4 時 7 分 21 秒 (日本時間)
composite number 合成数
399563671644143908715465345582671282008213027569148652302504041059229473113556661415033730811<93>
prime factors 素因数
80382825347493509050606156782606372581<38>
4970759237646068529939288283917498128569733815589236831<55>
factorization results 素因数分解の結果
Number: 98883_127
N=399563671644143908715465345582671282008213027569148652302504041059229473113556661415033730811
  ( 93 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=80382825347493509050606156782606372581 (pp38)
 r2=4970759237646068529939288283917498128569733815589236831 (pp55)
Version: Msieve-1.40
Total time: 4.26 hours.
Scaled time: 8.45 units (timescale=1.982).
Factorization parameters were as follows:
name: 98883_127
n: 399563671644143908715465345582671282008213027569148652302504041059229473113556661415033730811
m: 10000000000000000000000000
deg: 5
c5: 8900
c0: -53
skew: 0.36
type: snfs
lss: 1
rlim: 990000
alim: 990000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 990000/990000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [495000, 1095001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 177651 x 177899
Total sieving time: 4.08 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,128.000,5,0,0,0,0,0,0,0,0,990000,990000,26,26,47,47,2.3,2.3,50000
total time: 4.26 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 KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)

89×10128-539

c119

name 名前Sinkiti Sibata
date 日付October 21, 2010 23:54:47 UTC 2010 年 10 月 22 日 (金) 8 時 54 分 47 秒 (日本時間)
composite number 合成数
34224593582799596996133774943830117963735641043676058296454142124102983630637615377234486577972170891331726914687747259<119>
prime factors 素因数
24707175218458961009263154295030445202344695820693640323<56>
1385208680482019813152225847069130611436776157463759623596624233<64>
factorization results 素因数分解の結果
Number: 98883_128
N=34224593582799596996133774943830117963735641043676058296454142124102983630637615377234486577972170891331726914687747259
  ( 119 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=24707175218458961009263154295030445202344695820693640323 (pp56)
 r2=1385208680482019813152225847069130611436776157463759623596624233 (pp64)
Version: Msieve-1.40
Total time: 4.03 hours.
Scaled time: 8.21 units (timescale=2.038).
Factorization parameters were as follows:
name: 98883_128
n: 34224593582799596996133774943830117963735641043676058296454142124102983630637615377234486577972170891331726914687747259
m: 10000000000000000000000000
deg: 5
c5: 89000
c0: -53
skew: 0.23
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, 1065001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 184115 x 184347
Total sieving time: 3.82 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,129.000,5,0,0,0,0,0,0,0,0,1030000,1030000,26,26,47,47,2.3,2.3,50000
total time: 4.03 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 KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)

89×10133-539

c118

name 名前Sinkiti Sibata
date 日付October 21, 2010 14:35:11 UTC 2010 年 10 月 21 日 (木) 23 時 35 分 11 秒 (日本時間)
composite number 合成数
1236382809289828209640260561535016295428807250484242189368326748199678002473638698101503513024181250811640264141571101<118>
prime factors 素因数
1931591820505835370095691420094321107466958848788519947579<58>
640084926931431410665855042631208248786633085613969189174919<60>
factorization results 素因数分解の結果
Number: 98883_133
N=1236382809289828209640260561535016295428807250484242189368326748199678002473638698101503513024181250811640264141571101
  ( 118 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=1931591820505835370095691420094321107466958848788519947579 (pp58)
 r2=640084926931431410665855042631208248786633085613969189174919 (pp60)
Version: Msieve v. 1.42
Total time: 0.20 hours.
Scaled time: 0.17 units (timescale=0.851).
Factorization parameters were as follows:
name: 98883_133
n: 1236382809289828209640260561535016295428807250484242189368326748199678002473638698101503513024181250811640264141571101
m: 100000000000000000000000000
deg: 5
c5: 89000
c0: -53
skew: 0.23
type: snfs
lss: 1
rlim: 1240000
alim: 1240000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1240000/1240000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [620000, 1445001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 205309 x 205534
Total sieving time: 0.00 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,134.000,5,0,0,0,0,0,0,0,0,1240000,1240000,26,26,47,47,2.3,2.3,75000
total time: 0.20 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.. 5826.89 BogoMIPS (lpj=2913447)
Calibrating delay using timer specific routine.. 5826.54 BogoMIPS (lpj=2913271)
Total of 2 processors activated (11653.43 BogoMIPS).

Total time: 3 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)

89×10134-539

c128

name 名前Sinkiti Sibata
date 日付October 21, 2010 20:23:07 UTC 2010 年 10 月 22 日 (金) 5 時 23 分 7 秒 (日本時間)
composite number 合成数
32883561219922630448727118172519657912977689933592978237943682881487892913803529167982978995780451625120559356322541343882645797<128>
prime factors 素因数
957078840053535023624314941826674395551607623<45>
34358257484914471959887783372322735358447282581425384286097201725387158956933119539<83>
factorization results 素因数分解の結果
Number: 98883_134
N=32883561219922630448727118172519657912977689933592978237943682881487892913803529167982978995780451625120559356322541343882645797
  ( 128 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=957078840053535023624314941826674395551607623 (pp45)
 r2=34358257484914471959887783372322735358447282581425384286097201725387158956933119539 (pp83)
Version: Msieve-1.40
Total time: 6.51 hours.
Scaled time: 20.17 units (timescale=3.097).
Factorization parameters were as follows:
name: 98883_134
n: 32883561219922630448727118172519657912977689933592978237943682881487892913803529167982978995780451625120559356322541343882645797
m: 100000000000000000000000000
deg: 5
c5: 890000
c0: -53
skew: 0.14
type: snfs
lss: 1
rlim: 1290000
alim: 1290000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1290000/1290000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [645000, 1545001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 208837 x 209085
Total sieving time: 6.34 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,135.000,5,0,0,0,0,0,0,0,0,1290000,1290000,26,26,47,47,2.3,2.3,75000
total time: 6.51 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
3025e40--
351e6118 / 904Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)

89×10135-539

c120

name 名前Sinkiti Sibata
date 日付October 21, 2010 20:03:33 UTC 2010 年 10 月 22 日 (金) 5 時 3 分 33 秒 (日本時間)
composite number 合成数
331214969747435135754847030579338952706120594397178236617279393266251590919924573867398131580852818013907897599079587789<120>
prime factors 素因数
31911655993799168195536918890176723527467218411556668229961<59>
10379121967590598411874465110266450306100038297320254862427749<62>
factorization results 素因数分解の結果
Number: 98883_135
N=331214969747435135754847030579338952706120594397178236617279393266251590919924573867398131580852818013907897599079587789
  ( 120 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=31911655993799168195536918890176723527467218411556668229961 (pp59)
 r2=10379121967590598411874465110266450306100038297320254862427749 (pp62)
Version: Msieve-1.40
Total time: 5.32 hours.
Scaled time: 10.43 units (timescale=1.960).
Factorization parameters were as follows:
name: 98883_135
n: 331214969747435135754847030579338952706120594397178236617279393266251590919924573867398131580852818013907897599079587789
m: 1000000000000000000000000000
deg: 5
c5: 89
c0: -53
skew: 0.90
type: snfs
lss: 1
rlim: 1340000
alim: 1340000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1340000/1340000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [670000, 1345001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 211363 x 211611
Total sieving time: 5.11 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1340000,1340000,26,26,48,48,2.3,2.3,75000
total time: 5.32 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
3025e40--
351e6118 / 904Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)

89×10136-539

c126

name 名前Sinkiti Sibata
date 日付October 21, 2010 20:11:23 UTC 2010 年 10 月 22 日 (金) 5 時 11 分 23 秒 (日本時間)
composite number 合成数
694552263055268457474785039389530168793976691052730311977771199886966751694860296624171004689069759480481556706338608688219777<126>
prime factors 素因数
461430453866893760728096720668781574395913565853<48>
1505215482061836407498758360447738010475770420215688491997316716107908045510709<79>
factorization results 素因数分解の結果
Number: 98883_136
N=694552263055268457474785039389530168793976691052730311977771199886966751694860296624171004689069759480481556706338608688219777
  ( 126 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=461430453866893760728096720668781574395913565853 (pp48)
 r2=1505215482061836407498758360447738010475770420215688491997316716107908045510709 (pp79)
Version: Msieve-1.40
Total time: 5.39 hours.
Scaled time: 12.24 units (timescale=2.273).
Factorization parameters were as follows:
name: 98883_136
n: 694552263055268457474785039389530168793976691052730311977771199886966751694860296624171004689069759480481556706338608688219777
m: 1000000000000000000000000000
deg: 5
c5: 890
c0: -53
skew: 0.57
type: snfs
lss: 1
rlim: 1390000
alim: 1390000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1390000/1390000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [695000, 1370001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 221033 x 221281
Total sieving time: 5.18 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,137.000,5,0,0,0,0,0,0,0,0,1390000,1390000,26,26,48,48,2.3,2.3,75000
total time: 5.39 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
3025e40--
351e6118 / 904Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)

89×10137-539

c138

name 名前Serge Batalov
date 日付October 21, 2010 10:00:31 UTC 2010 年 10 月 21 日 (木) 19 時 0 分 31 秒 (日本時間)
composite number 合成数
141269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269<138>
prime factors 素因数
32678641024535418373725984971<29>
4323002329373935686599952161927203904195646329094406608931453723151400176843780380525708527969296950958709439<109>
factorization results 素因数分解の結果
Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=4241087594
Step 1 took 3508ms
Step 2 took 1982ms
********** Factor found in step 2: 32678641024535418373725984971
Found probable prime factor of 29 digits: 32678641024535418373725984971
Probable prime cofactor 4323002329373935686599952161927203904195646329094406608931453723151400176843780380525708527969296950958709439 has 109 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)

89×10138-539

c111

name 名前Sinkiti Sibata
date 日付October 21, 2010 22:17:38 UTC 2010 年 10 月 22 日 (金) 7 時 17 分 38 秒 (日本時間)
composite number 合成数
130449069813079061883135569743672097674910615381606749044507735174663956903695613282969980883041002170712646231<111>
prime factors 素因数
6118084081241818524719641095101077282907833<43>
21321882484916937138835539465528309869581133240910349703668769425807<68>
factorization results 素因数分解の結果
Number: 98883_138
N=130449069813079061883135569743672097674910615381606749044507735174663956903695613282969980883041002170712646231
  ( 111 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=6118084081241818524719641095101077282907833 (pp43)
 r2=21321882484916937138835539465528309869581133240910349703668769425807 (pp68)
Version: Msieve-1.40
Total time: 8.49 hours.
Scaled time: 26.05 units (timescale=3.067).
Factorization parameters were as follows:
name: 98883_138
n: 130449069813079061883135569743672097674910615381606749044507735174663956903695613282969980883041002170712646231
m: 1000000000000000000000000000
deg: 5
c5: 89000
c0: -53
skew: 0.23
type: snfs
lss: 1
rlim: 1510000
alim: 1510000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1510000/1510000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [755000, 1955001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 261539 x 261787
Total sieving time: 8.30 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,139.000,5,0,0,0,0,0,0,0,0,1510000,1510000,26,26,48,48,2.3,2.3,75000
total time: 8.49 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
3025e40--
351e6118 / 904Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)

89×10141-539

c113

name 名前Sinkiti Sibata
date 日付October 22, 2010 00:12:58 UTC 2010 年 10 月 22 日 (金) 9 時 12 分 58 秒 (日本時間)
composite number 合成数
58464898512217757528650340161221682097666761278041915571099320173944866072831448197874561074675021597606026492589<113>
prime factors 素因数
2204035343377801883479062683550717807151<40>
26526298086770776501899898917962617942364426396960572806717799633539808739<74>
factorization results 素因数分解の結果
Number: 98883_141
N=58464898512217757528650340161221682097666761278041915571099320173944866072831448197874561074675021597606026492589
  ( 113 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=2204035343377801883479062683550717807151 (pp40)
 r2=26526298086770776501899898917962617942364426396960572806717799633539808739 (pp74)
Version: Msieve v. 1.42
Total time: 0.26 hours.
Scaled time: 0.27 units (timescale=1.025).
Factorization parameters were as follows:
name: 98883_141
n: 58464898512217757528650340161221682097666761278041915571099320173944866072831448197874561074675021597606026492589
m: 10000000000000000000000000000
deg: 5
c5: 890
c0: -53
skew: 0.57
type: snfs
lss: 1
rlim: 1690000
alim: 1690000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1690000/1690000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [845000, 1845001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 279704 x 279929
Total sieving time: 0.00 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,142.000,5,0,0,0,0,0,0,0,0,1690000,1690000,26,26,48,48,2.3,2.3,100000
total time: 0.26 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 3057976k/3145344k available (3786k kernel code, 496k absent, 86872k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4787.97 BogoMIPS (lpj=2393987)
Calibrating delay using timer specific routine.. 4787.75 BogoMIPS (lpj=2393879)
Calibrating delay using timer specific routine.. 4787.78 BogoMIPS (lpj=2393891)
Calibrating delay using timer specific routine.. 4787.77 BogoMIPS (lpj=2393889)
Total of 4 processors activated (19151.29 BogoMIPS).

Total time: 4 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 21, 2010 15:30:34 UTC 2010 年 10 月 22 日 (金) 0 時 30 分 34 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 21, 2010 15:30:34 UTC 2010 年 10 月 22 日 (金) 0 時 30 分 34 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 21, 2010 15:30:34 UTC 2010 年 10 月 22 日 (金) 0 時 30 分 34 秒 (日本時間)

89×10143-539

c120

name 名前Sinkiti Sibata
date 日付October 22, 2010 14:12:29 UTC 2010 年 10 月 22 日 (金) 23 時 12 分 29 秒 (日本時間)
composite number 合成数
477319692384286728370149889751861732509754660428004816095511929575528504404975765461269838378948826486630955369310055723<120>
prime factors 素因数
890352743821322799021591450406777516988918664007<48>
536101781790067571443275877615207855727707914124712850424301389612251389<72>
factorization results 素因数分解の結果
Number: 98883_143
N=477319692384286728370149889751861732509754660428004816095511929575528504404975765461269838378948826486630955369310055723
  ( 120 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=890352743821322799021591450406777516988918664007 (pp48)
 r2=536101781790067571443275877615207855727707914124712850424301389612251389 (pp72)
Version: Msieve-1.40
Total time: 13.65 hours.
Scaled time: 27.92 units (timescale=2.045).
Factorization parameters were as follows:
name: 98883_143
n: 477319692384286728370149889751861732509754660428004816095511929575528504404975765461269838378948826486630955369310055723
m: 10000000000000000000000000000
deg: 5
c5: 89000
c0: -53
skew: 0.23
type: snfs
lss: 1
rlim: 1820000
alim: 1820000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1820000/1820000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [910000, 2610001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 331307 x 331542
Total sieving time: 13.04 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.39 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,144.000,5,0,0,0,0,0,0,0,0,1820000,1820000,26,26,49,49,2.3,2.3,100000
total time: 13.65 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 21, 2010 18:40:37 UTC 2010 年 10 月 22 日 (金) 3 時 40 分 37 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 21, 2010 18:40:37 UTC 2010 年 10 月 22 日 (金) 3 時 40 分 37 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 21, 2010 18:40:37 UTC 2010 年 10 月 22 日 (金) 3 時 40 分 37 秒 (日本時間)

89×10146-539

c121

name 名前Ignacio Santos
date 日付October 21, 2010 19:20:00 UTC 2010 年 10 月 22 日 (金) 4 時 20 分 0 秒 (日本時間)
composite number 合成数
5495632767512549359064677789349704994191883104481116438955134658058862865852011060903913830066126330076366077163286209371<121>
prime factors 素因数
5862459632937442105869562318117859<34>
937427822382959318115314636890077457196903159872570566233304178688796712854681116156969<87>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1578939800
Step 1 took 5679ms
Step 2 took 4337ms
********** Factor found in step 2: 5862459632937442105869562318117859
Found probable prime factor of 34 digits: 5862459632937442105869562318117859
Probable prime cofactor 937427822382959318115314636890077457196903159872570566233304178688796712854681116156969 has 87 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)

89×10148-539

c107

name 名前Ignacio Santos
date 日付October 21, 2010 14:46:12 UTC 2010 年 10 月 21 日 (木) 23 時 46 分 12 秒 (日本時間)
composite number 合成数
64074752853413751289341320770087264202255070701904378237573863501499690950329076074482605542794921607088581<107>
prime factors 素因数
4327613390484793857957531324995519<34>
14806025185682282311858276470855274921481864975375925255344553785475243899<74>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2150337929
Step 1 took 54428ms
Step 2 took 25897ms
********** Factor found in step 2: 4327613390484793857957531324995519
Found probable prime factor of 34 digits: 4327613390484793857957531324995519
Probable prime cofactor 14806025185682282311858276470855274921481864975375925255344553785475243899 has 74 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)

89×10149-539

c95

name 名前Erik Branger
date 日付October 21, 2010 09:32:10 UTC 2010 年 10 月 21 日 (木) 18 時 32 分 10 秒 (日本時間)
composite number 合成数
19663049249442703803095651958802203288839560961627448447285207604390979147134843830687345948721<95>
prime factors 素因数
29589096613835312336223953193830081106973<41>
664536991651466201392000843597834407864286062663536677<54>
factorization results 素因数分解の結果
Number: 98883_149
N = 19663049249442703803095651958802203288839560961627448447285207604390979147134843830687345948721 (95 digits)
Divisors found:
r1=29589096613835312336223953193830081106973 (pp41)
r2=664536991651466201392000843597834407864286062663536677 (pp54)
Version: Msieve v. 1.47
Total time: 2.63 hours.
Factorization parameters were as follows:
n: 19663049249442703803095651958802203288839560961627448447285207604390979147134843830687345948721
Y0: -56481847659459075094824
Y1: 2897397831967
c0: -72481394724766720265055047
c1: -587079777014371108411
c2: 71514671984675
c3: 708031651
c4: 1932
skew: 622979.88 
type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Sieved algebraic special-q in [600000, 900000)
Relations: 2965567
Relations in full relation-set: 130610 relations
Pruned matrix : 92488 x 92715
Polynomial selection time: 0.26 hours.
Total sieving time: 2.31 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: gnfs,94,4,60,2000,0.0001,0.3,220,15,10000,600,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 2.63 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--
351e6118 / 904Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)

89×10150-539

c101

name 名前Serge Batalov
date 日付October 21, 2010 08:56:21 UTC 2010 年 10 月 21 日 (木) 17 時 56 分 21 秒 (日本時間)
composite number 合成数
22655947490924278393967259809491149520135256067706499665079035137051461216984572805282565518919090647<101>
prime factors 素因数
88625434077902063970409034681<29>
255637083492416205967829247407945318471413768754107569674088838938921487<72>
factorization results 素因数分解の結果
Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=2425572181
Step 1 took 2267ms
********** Factor found in step 1: 88625434077902063970409034681
Found probable prime factor of 29 digits: 88625434077902063970409034681
Probable prime cofactor has 72 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)

89×10151-539

c151

name 名前Erik Branger
date 日付October 21, 2010 14:47:50 UTC 2010 年 10 月 21 日 (木) 23 時 47 分 50 秒 (日本時間)
composite number 合成数
1063321385902031063321385902031063321385902031063321385902031063321385902031063321385902031063321385902031063321385902031063321385902031063321385902031<151>
prime factors 素因数
81708804012343977091094231428707132390282968695847680360010013625889329<71>
13013547300746099937616329227372287483051586726014780617417691643363648666595839<80>
factorization results 素因数分解の結果
Number: 98883_151
N = 1063321385902031063321385902031063321385902031063321385902031063321385902031063321385902031063321385902031063321385902031063321385902031063321385902031 (151 digits)
SNFS difficulty: 153 digits.
Divisors found:
r1=81708804012343977091094231428707132390282968695847680360010013625889329 (pp71)
r2=13013547300746099937616329227372287483051586726014780617417691643363648666595839 (pp80)
Version: Msieve v. 1.47
Total time: 16.19 hours.
Factorization parameters were as follows:
n: 1063321385902031063321385902031063321385902031063321385902031063321385902031063321385902031063321385902031063321385902031063321385902031063321385902031
m: 1000000000000000000000000000000
deg: 5
c5: 890
c0: -53
skew: 0.57
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [1250000, 2050000)
Relations: 7476672
Relations in full relation-set: 764412 relations
Pruned matrix : 446054 x 446281
Polynomial selection time: 0.00 hours.
Total sieving time: 15.81 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.20 hours.
time per square root: 0.13 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)

89×10152-539

c114

name 名前Sinkiti Sibata
date 日付October 22, 2010 14:04:29 UTC 2010 年 10 月 22 日 (金) 23 時 4 分 29 秒 (日本時間)
composite number 合成数
372924333438958098120193388990382280557188545397900834473040797888342296568986641128430369510437949623141454219239<114>
prime factors 素因数
2713572502714577423128810986617895519679<40>
137429286693425607454941229856200472057859070183961277621308588567015495641<75>
factorization results 素因数分解の結果
Number: 98883_152
N=372924333438958098120193388990382280557188545397900834473040797888342296568986641128430369510437949623141454219239
  ( 114 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=2713572502714577423128810986617895519679 (pp40)
 r2=137429286693425607454941229856200472057859070183961277621308588567015495641 (pp75)
Version: Msieve v. 1.42
Total time: 1.13 hours.
Scaled time: 0.95 units (timescale=0.848).
Factorization parameters were as follows:
name: 98883_152
n: 372924333438958098120193388990382280557188545397900834473040797888342296568986641128430369510437949623141454219239
m: 1000000000000000000000000000000
deg: 5
c5: 8900
c0: -53
skew: 0.36
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 553252 x 553480
Total sieving time: 0.00 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.97 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 1.13 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.. 5826.89 BogoMIPS (lpj=2913447)
Calibrating delay using timer specific routine.. 5826.54 BogoMIPS (lpj=2913271)
Total of 2 processors activated (11653.43 BogoMIPS).

Total time: 14 hours 30 min.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 21, 2010 16:48:00 UTC 2010 年 10 月 22 日 (金) 1 時 48 分 0 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 21, 2010 16:48:00 UTC 2010 年 10 月 22 日 (金) 1 時 48 分 0 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 21, 2010 16:48:00 UTC 2010 年 10 月 22 日 (金) 1 時 48 分 0 秒 (日本時間)

89×10154-539

c125

name 名前Sinkiti Sibata
date 日付October 23, 2010 06:33:09 UTC 2010 年 10 月 23 日 (土) 15 時 33 分 9 秒 (日本時間)
composite number 合成数
53137373195015796634423779554819427436783016494079298467087323547439893215300535908798288156384509191056845023208749887298809<125>
prime factors 素因数
344968297691234914374570412628071820236487771<45>
154035526019775269364832410659126004928760126517517363429961524824747582018001979<81>
factorization results 素因数分解の結果
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
Number: 98883_154
N=53137373195015796634423779554819427436783016494079298467087323547439893215300535908798288156384509191056845023208749887298809
  ( 125 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=344968297691234914374570412628071820236487771 (pp45)
 r2=154035526019775269364832410659126004928760126517517363429961524824747582018001979 (pp81)
Version: Msieve-1.40
Total time: 27.64 hours.
Scaled time: 89.95 units (timescale=3.254).
Factorization parameters were as follows:
name: 98883_154
n: 53137373195015796634423779554819427436783016494079298467087323547439893215300535908798288156384509191056845023208749887298809
m: 1000000000000000000000000000000
deg: 5
c5: 890000
c0: -53
skew: 0.14
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, 2800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 582816 x 583064
Total sieving time: 26.69 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.66 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,155.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 27.64 hours.
 --------- CPU info (if available) ----------

 
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 21, 2010 20:04:14 UTC 2010 年 10 月 22 日 (金) 5 時 4 分 14 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 21, 2010 20:04:14 UTC 2010 年 10 月 22 日 (金) 5 時 4 分 14 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 21, 2010 20:04:14 UTC 2010 年 10 月 22 日 (金) 5 時 4 分 14 秒 (日本時間)

89×10156-539

c121

name 名前Sinkiti Sibata
date 日付October 23, 2010 06:37:21 UTC 2010 年 10 月 23 日 (土) 15 時 37 分 21 秒 (日本時間)
composite number 合成数
2486959838238730047133927938895952902154684975200682000098278922604978301824000067353263875671850580639483506005602313681<121>
prime factors 素因数
133831179706144303220104028618656076947<39>
18582813389969330196252817782358465767616654632232597601548465876350811128158723723<83>
factorization results 素因数分解の結果
Number: 98883_156
N=2486959838238730047133927938895952902154684975200682000098278922604978301824000067353263875671850580639483506005602313681
  ( 121 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=133831179706144303220104028618656076947 (pp39)
 r2=18582813389969330196252817782358465767616654632232597601548465876350811128158723723 (pp83)
Version: Msieve-1.40
Total time: 25.05 hours.
Scaled time: 77.23 units (timescale=3.083).
Factorization parameters were as follows:
name: 98883_156
n: 2486959838238730047133927938895952902154684975200682000098278922604978301824000067353263875671850580639483506005602313681
m: 10000000000000000000000000000000
deg: 5
c5: 890
c0: -53
skew: 0.57
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 502115 x 502363
Total sieving time: 24.43 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.49 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 25.05 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 21, 2010 21:10:28 UTC 2010 年 10 月 22 日 (金) 6 時 10 分 28 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 21, 2010 21:10:28 UTC 2010 年 10 月 22 日 (金) 6 時 10 分 28 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 21, 2010 21:10:28 UTC 2010 年 10 月 22 日 (金) 6 時 10 分 28 秒 (日本時間)

89×10159-539

c153

name 名前Serge Batalov
date 日付October 21, 2010 09:57:36 UTC 2010 年 10 月 21 日 (木) 18 時 57 分 36 秒 (日本時間)
composite number 合成数
203036850460619778928777713848545637800833228102071315105930495836771585594132123693617274026652574357951909617812945767832932464447853957865651351010739<153>
prime factors 素因数
2134986522048395731276632879513667529<37>
composite cofactor 合成数の残り
95099827733721568300056203358535700467839359235429115622379427608926062603587557356360983383018736652193240380526491<116>
factorization results 素因数分解の結果
Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=396336001
Step 1 took 3286ms
Step 2 took 2032ms
********** Factor found in step 2: 2134986522048395731276632879513667529
Found probable prime factor of 37 digits: 2134986522048395731276632879513667529
Composite cofactor has 116 digits

c116

name 名前Dmitry Domanov
date 日付October 24, 2010 20:57:58 UTC 2010 年 10 月 25 日 (月) 5 時 57 分 58 秒 (日本時間)
composite number 合成数
95099827733721568300056203358535700467839359235429115622379427608926062603587557356360983383018736652193240380526491<116>
prime factors 素因数
4228424997465865684889067154036531628952306047<46>
22490602952805306233478281391266368231923037139103359238004378113198053<71>
factorization results 素因数分解の結果
Number: we116
N=95099827733721568300056203358535700467839359235429115622379427608926062603587557356360983383018736652193240380526491
  ( 116 digits)
Divisors found:
 r1=4228424997465865684889067154036531628952306047 (pp46)
 r2=22490602952805306233478281391266368231923037139103359238004378113198053 (pp71)
Version: Msieve-1.40
Total time: 22.35 hours.
Scaled time: 42.95 units (timescale=1.922).
Factorization parameters were as follows:
name: we116
n: 95099827733721568300056203358535700467839359235429115622379427608926062603587557356360983383018736652193240380526491
skew: 27042.25
# norm 3.78e+016
c5: 136800
c4: -34629342168
c3: -1618561591950932
c2: 22761705955805227198
c1: 173522413902334648440947
c0: -1068743955317715987008313520
# alpha -6.94
Y1: 1319406278663
Y0: -14737394022617724017631
# Murphy_E 4.75e-010
# M 32771792722072047443866973908130117765366365741776528812630649763946922292160947978829602156197769273101789568493440
type: gnfs
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1700000, 2900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 583549 x 583775
Total sieving time: 21.72 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.42 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3400000,3400000,27,27,53,53,2.5,2.5,100000
total time: 22.35 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 21, 2010 17:03:15 UTC 2010 年 10 月 22 日 (金) 2 時 3 分 15 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 21, 2010 17:03:15 UTC 2010 年 10 月 22 日 (金) 2 時 3 分 15 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 21, 2010 17:03:15 UTC 2010 年 10 月 22 日 (金) 2 時 3 分 15 秒 (日本時間)

89×10163-539

c119

name 名前Sinkiti Sibata
date 日付October 26, 2010 11:49:50 UTC 2010 年 10 月 26 日 (火) 20 時 49 分 50 秒 (日本時間)
composite number 合成数
53876480614278857460057471479750412982007786083242120416000849904827026009496051910341852798518449028460311675516021547<119>
prime factors 素因数
16801252079567290803582049526305108960607<41>
3206694379629022482247329272335414766662218699360637211384931890800484601258421<79>
factorization results 素因数分解の結果
Number: 98883_163
N=53876480614278857460057471479750412982007786083242120416000849904827026009496051910341852798518449028460311675516021547
  ( 119 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=16801252079567290803582049526305108960607 (pp41)
 r2=3206694379629022482247329272335414766662218699360637211384931890800484601258421 (pp79)
Version: Msieve-1.40
Total time: 57.06 hours.
Scaled time: 114.29 units (timescale=2.003).
Factorization parameters were as follows:
name: 98883_163
n: 53876480614278857460057471479750412982007786083242120416000849904827026009496051910341852798518449028460311675516021547
m: 100000000000000000000000000000000
deg: 5
c5: 89000
c0: -53
skew: 0.23
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 4750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 842798 x 843046
Total sieving time: 54.85 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.75 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 57.06 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 21, 2010 17:48:13 UTC 2010 年 10 月 22 日 (金) 2 時 48 分 13 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 21, 2010 17:48:13 UTC 2010 年 10 月 22 日 (金) 2 時 48 分 13 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 21, 2010 17:48:13 UTC 2010 年 10 月 22 日 (金) 2 時 48 分 13 秒 (日本時間)

89×10164-539

c154

name 名前Sinkiti Sibata
date 日付October 29, 2010 04:54:24 UTC 2010 年 10 月 29 日 (金) 13 時 54 分 24 秒 (日本時間)
composite number 合成数
1042265763060936608945789526680335810123832199648920769923903167242004217728874470172569693556919879120419553022433377153336945768759369649601024590809643<154>
prime factors 素因数
3957562302318334603895727642518415491<37>
263360544558042395238113416470910292288012355671202602991665941303584449378565058091332586233316668915595916316546873<117>
factorization results 素因数分解の結果
Number: 98883_164
N=1042265763060936608945789526680335810123832199648920769923903167242004217728874470172569693556919879120419553022433377153336945768759369649601024590809643
  ( 154 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=3957562302318334603895727642518415491 (pp37)
 r2=263360544558042395238113416470910292288012355671202602991665941303584449378565058091332586233316668915595916316546873 (pp117)
Version: Msieve-1.40
Total time: 73.89 hours.
Scaled time: 201.56 units (timescale=2.728).
Factorization parameters were as follows:
name: 98883_164
n: 1042265763060936608945789526680335810123832199648920769923903167242004217728874470172569693556919879120419553022433377153336945768759369649601024590809643
m: 100000000000000000000000000000000
deg: 5
c5: 890000
c0: -53
skew: 0.14
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 5150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 829357 x 829605
Total sieving time: 72.14 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.49 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 73.89 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 21, 2010 22:46:51 UTC 2010 年 10 月 22 日 (金) 7 時 46 分 51 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 21, 2010 22:46:51 UTC 2010 年 10 月 22 日 (金) 7 時 46 分 51 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 21, 2010 22:46:51 UTC 2010 年 10 月 22 日 (金) 7 時 46 分 51 秒 (日本時間)

89×10166-539

c139

name 名前K, Maemondo
date 日付November 24, 2010 09:50:55 UTC 2010 年 11 月 24 日 (水) 18 時 50 分 55 秒 (日本時間)
composite number 合成数
1442503950118830100730134434048086761523392962594808995745997862984887709944502350774268504403005282712984580681292471536032845809986962251<139>
prime factors 素因数
24920097849083110487003926331672798394666754056637720952047331<62>
57885163969045346285885883563109373460996400926904160258298660237073274099321<77>
factorization results 素因数分解の結果
Number: 98883_166
N=1442503950118830100730134434048086761523392962594808995745997862984887709944502350774268504403005282712984580681292471536032845809986962251
  ( 139 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=24920097849083110487003926331672798394666754056637720952047331 (pp62)
 r2=57885163969045346285885883563109373460996400926904160258298660237073274099321 (pp77)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 103.83 hours.
Scaled time: 139.55 units (timescale=1.344).
Factorization parameters were as follows:
n: 1442503950118830100730134434048086761523392962594808995745997862984887709944502350774268504403005282712984580681292471536032845809986962251
m: 1000000000000000000000000000000000
deg: 5
c5: 890
c0: -53
skew: 0.57
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, 4700001)
Primes: RFBsize:309335, AFBsize:308523, largePrimes:9681966 encountered
Relations: rels:10688318, finalFF:1024269
Max relations in full relation-set: 28
Initial matrix: 617925 x 1024269 with sparse part having weight 127925708.
Pruned matrix : 470875 x 474028 with weight 79230354.
Total sieving time: 101.15 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.33 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 103.83 hours.
 --------- CPU info (if available) ----------
[    0.078484] CPU0: Intel(R) Core(TM) i7 CPU         860  @ 2.80GHz stepping 05
[    0.000000] Memory: 4111272k/4718592k available (5085k kernel code, 80976k reserved, 2432k data, 704k init, 3279304k highmem)
[    0.000003] Calibrating delay loop (skipped), value calculated using timer frequency.. 5618.19 BogoMIPS (lpj=11236396)
[    0.939144] Total of 8 processors activated (44938.03 BogoMIPS).
execution environment 実行環境
Ubuntu 10.10 32bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 21, 2010 23:40:56 UTC 2010 年 10 月 22 日 (金) 8 時 40 分 56 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 21, 2010 23:40:56 UTC 2010 年 10 月 22 日 (金) 8 時 40 分 56 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 21, 2010 23:40:56 UTC 2010 年 10 月 22 日 (金) 8 時 40 分 56 秒 (日本時間)

89×10170-539

c149

name 名前Sinkiti Sibata
date 日付April 6, 2011 08:51:59 UTC 2011 年 4 月 6 日 (水) 17 時 51 分 59 秒 (日本時間)
composite number 合成数
51719780336207910324184558016732739073658349262778137418811999961984758005250639550856574993569097483585618308137825623867537148935212024508560318437<149>
prime factors 素因数
5945898045759223034712526779469968996980516540551812828208710701<64>
8698396766674442217728332620816207442172674418751343248424336631597682707330772272537<85>
factorization results 素因数分解の結果
Number: 98883_170
N=51719780336207910324184558016732739073658349262778137418811999961984758005250639550856574993569097483585618308137825623867537148935212024508560318437
  ( 149 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=5945898045759223034712526779469968996980516540551812828208710701 (pp64)
 r2=8698396766674442217728332620816207442172674418751343248424336631597682707330772272537 (pp85)
Version: Msieve-1.40
Total time: 81.50 hours.
Scaled time: 265.21 units (timescale=3.254).
Factorization parameters were as follows:
name: 98883_170
n: 51719780336207910324184558016732739073658349262778137418811999961984758005250639550856574993569097483585618308137825623867537148935212024508560318437
m: 10000000000000000000000000000000000
deg: 5
c5: 89
c0: -53
skew: 0.90
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4

Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 6050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 987384 x 987632
Total sieving time: 79.14 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.07 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 81.50 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 22, 2010 05:47:35 UTC 2010 年 10 月 22 日 (金) 14 時 47 分 35 秒 (日本時間)
403e6860110Ignacio SantosOctober 22, 2010 05:47:35 UTC 2010 年 10 月 22 日 (金) 14 時 47 分 35 秒 (日本時間)
750Ignacio SantosDecember 1, 2010 14:06:44 UTC 2010 年 12 月 1 日 (水) 23 時 6 分 44 秒 (日本時間)
4511e6246 / 406832Ignacio SantosOctober 22, 2010 05:47:35 UTC 2010 年 10 月 22 日 (金) 14 時 47 分 35 秒 (日本時間)
214Ignacio SantosDecember 1, 2010 14:06:44 UTC 2010 年 12 月 1 日 (水) 23 時 6 分 44 秒 (日本時間)
5043e658 / 7463Ignacio SantosDecember 1, 2010 14:06:44 UTC 2010 年 12 月 1 日 (水) 23 時 6 分 44 秒 (日本時間)

89×10171-539

c168

name 名前Serge Batalov
date 日付October 21, 2010 10:04:06 UTC 2010 年 10 月 21 日 (木) 19 時 4 分 6 秒 (日本時間)
composite number 合成数
445425381239083324574969095486189310791806174897026660460740006706404616408670280117512224174086252371014318674333988959456280748114449299080621994004274081748069406283<168>
prime factors 素因数
19708522969386422663475298331<29>
composite cofactor 合成数の残り
22600647543754039610742034213255676573760255992242042745890973476975031566348658445403119592801297846779671993484402532360021395440238216593<140>
factorization results 素因数分解の結果
Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=895147291
Step 1 took 3850ms
Step 2 took 2248ms
********** Factor found in step 2: 19708522969386422663475298331
Found probable prime factor of 29 digits: 19708522969386422663475298331
Composite cofactor 22600647543754039610742034213255676573760255992242042745890973476975031566348658445403119592801297846779671993484402532360021395440238216593 has 140 digits

c140

name 名前Wataru Sakai
date 日付December 2, 2010 05:41:01 UTC 2010 年 12 月 2 日 (木) 14 時 41 分 1 秒 (日本時間)
composite number 合成数
22600647543754039610742034213255676573760255992242042745890973476975031566348658445403119592801297846779671993484402532360021395440238216593<140>
prime factors 素因数
55355164532329858664360766645710452081<38>
408284353134823837060825983959716988006729514475102947354402793681468721434120323353188889413114872353<102>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4267813832
Step 1 took 13240ms
Step 2 took 5577ms
********** Factor found in step 2: 55355164532329858664360766645710452081
Found probable prime factor of 38 digits: 55355164532329858664360766645710452081
Probable prime cofactor 408284353134823837060825983959716988006729514475102947354402793681468721434120323353188889413114872353 has 102 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 22, 2010 05:48:08 UTC 2010 年 10 月 22 日 (金) 14 時 48 分 8 秒 (日本時間)
403e6860110Ignacio SantosOctober 22, 2010 05:48:08 UTC 2010 年 10 月 22 日 (金) 14 時 48 分 8 秒 (日本時間)
750Ignacio SantosDecember 1, 2010 23:09:42 UTC 2010 年 12 月 2 日 (木) 8 時 9 分 42 秒 (日本時間)
4511e6246 / 406832Ignacio SantosOctober 22, 2010 05:48:08 UTC 2010 年 10 月 22 日 (金) 14 時 48 分 8 秒 (日本時間)
214Ignacio SantosDecember 1, 2010 23:09:42 UTC 2010 年 12 月 2 日 (木) 8 時 9 分 42 秒 (日本時間)
5043e658 / 7463Ignacio SantosDecember 1, 2010 23:09:42 UTC 2010 年 12 月 2 日 (木) 8 時 9 分 42 秒 (日本時間)

89×10172-539

c136

name 名前Ignacio Santos
date 日付October 22, 2010 05:46:23 UTC 2010 年 10 月 22 日 (金) 14 時 46 分 23 秒 (日本時間)
composite number 合成数
1238416274952192396836354378657645969896811354943846295194053128724584594822770805463306438212895772401065160367939299150514178424335241<136>
prime factors 素因数
6603855302989947108778302753230402616071<40>
187529286777602432934047598668975179841782551331469550093862195151765246250293052732786180780271<96>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2254562883
Step 1 took 20015ms
Step 2 took 10358ms
********** Factor found in step 2: 6603855302989947108778302753230402616071
Found probable prime factor of 40 digits: 6603855302989947108778302753230402616071
Probable prime cofactor 187529286777602432934047598668975179841782551331469550093862195151765246250293052732786180780271 has 96 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
351e6118Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiOctober 22, 2010 04:45:20 UTC 2010 年 10 月 22 日 (金) 13 時 45 分 20 秒 (日本時間)

89×10173-539

c139

name 名前Serge Batalov
date 日付October 21, 2010 08:41:50 UTC 2010 年 10 月 21 日 (木) 17 時 41 分 50 秒 (日本時間)
composite number 合成数
1926623035494258153472115101004405961421255521682966090008856597669535856860088155567167284426138404708286923965848648141967341001002741341<139>
prime factors 素因数
1659693325789688214782651135946457<34>
1160830742376796506583385248908176729973758773393870928751360073020513219756915329003643341013014442578213<106>
factorization results 素因数分解の結果
Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=864967475
Step 1 took 3299ms
Step 2 took 1957ms
********** Factor found in step 2: 1659693325789688214782651135946457
Found probable prime factor of 34 digits: 1659693325789688214782651135946457
Probable prime cofactor 1160830742376796506583385248908176729973758773393870928751360073020513219756915329003643341013014442578213 has 106 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)

89×10176-539

c152

name 名前Jo Yeong Uk
date 日付May 1, 2013 11:19:02 UTC 2013 年 5 月 1 日 (水) 20 時 19 分 2 秒 (日本時間)
composite number 合成数
13282188740182008179429839002698797295720530576726310422742605013711999158695862007449000710525201461605048377715480110166970683275594575208596353030363<152>
prime factors 素因数
325462876826806763557260614716586938970749019914312401090560676669619733<72>
40810149746356633152094283614413135250163711229905977598978347547614022500280111<80>
factorization results 素因数分解の結果
Number: 98883_176
N=13282188740182008179429839002698797295720530576726310422742605013711999158695862007449000710525201461605048377715480110166970683275594575208596353030363
  ( 152 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=325462876826806763557260614716586938970749019914312401090560676669619733
 r2=40810149746356633152094283614413135250163711229905977598978347547614022500280111
Version: 
Total time: 53.71 hours.
Scaled time: 195.82 units (timescale=3.646).
Factorization parameters were as follows:
n: 13282188740182008179429839002698797295720530576726310422742605013711999158695862007449000710525201461605048377715480110166970683275594575208596353030363
m: 100000000000000000000000000000000000
deg: 5
c5: 890
c0: -53
skew: 0.57
# Murphy_E = 1.109e-10
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5

Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4000000, 8600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18563326
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1432059 x 1432307
Total sieving time: 46.53 hours.
Total relation processing time: 2.91 hours.
Matrix solve time: 4.05 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,53,53,2.5,2.5,100000
total time: 53.71 hours.
 --------- CPU info (if available) ----------
x86info v1.25.  Dave Jones 2001-2009
Feedback to <davej@redhat.com>.

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

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

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

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

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

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

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

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

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

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

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

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

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 3, 2010 08:17:17 UTC 2010 年 12 月 3 日 (金) 17 時 17 分 17 秒 (日本時間)
403e6110Ignacio SantosDecember 3, 2010 08:17:17 UTC 2010 年 12 月 3 日 (金) 17 時 17 分 17 秒 (日本時間)
4511e6232 / 338432Ignacio SantosDecember 3, 2010 08:17:17 UTC 2010 年 12 月 3 日 (金) 17 時 17 分 17 秒 (日本時間)
200Rich DickersonJanuary 16, 2011 15:51:59 UTC 2011 年 1 月 17 日 (月) 0 時 51 分 59 秒 (日本時間)
5043e6300 / 7495Rich DickersonJanuary 17, 2011 13:06:38 UTC 2011 年 1 月 17 日 (月) 22 時 6 分 38 秒 (日本時間)

89×10178-539

c154

name 名前Wataru Sakai
date 日付April 11, 2012 10:35:27 UTC 2012 年 4 月 11 日 (水) 19 時 35 分 27 秒 (日本時間)
composite number 合成数
2022694288991202787272181520466820276572808043399784628099170552916461073637655977417240216624068439729978457155252404479869213528449202097644088030277729<154>
prime factors 素因数
3801238757307597449528613736942953173<37>
7885263498582204730955750987163948168543101<43>
67482146605707368491380962949615653920783586615763548604989055391934789473<74>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2441693776
Step 1 took 10157ms
Step 2 took 5240ms
********** Factor found in step 2: 7885263498582204730955750987163948168543101
Found probable prime factor of 43 digits: 7885263498582204730955750987163948168543101
Composite cofactor 256515751103928182694549521898687019871707385582308560177501071418235628639237464261902601120793669470652347829 has 111 digits
------------------------

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1116131975
Step 1 took 6572ms
Step 2 took 3974ms
********** Factor found in step 2: 3801238757307597449528613736942953173
Found probable prime factor of 37 digits: 3801238757307597449528613736942953173
Probable prime cofactor 67482146605707368491380962949615653920783586615763548604989055391934789473 has 74 digits
software ソフトウェア
GMP-ECM 6.4.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 3, 2010 15:15:56 UTC 2010 年 12 月 4 日 (土) 0 時 15 分 56 秒 (日本時間)
403e6110 / 2126Ignacio SantosDecember 3, 2010 15:15:56 UTC 2010 年 12 月 4 日 (土) 0 時 15 分 56 秒 (日本時間)
4511e632 / 4437Ignacio SantosDecember 3, 2010 15:15:56 UTC 2010 年 12 月 4 日 (土) 0 時 15 分 56 秒 (日本時間)

89×10179-539

c139

name 名前Dmitry Domanov
date 日付January 6, 2014 14:01:10 UTC 2014 年 1 月 6 日 (月) 23 時 1 分 10 秒 (日本時間)
composite number 合成数
1117928336703475776903421921652301609712789499179393724028453524020835876748922638166393596595848196781479468082144252628480591726913907749<139>
prime factors 素因数
11756048507674126757727631469404122254360149373597901029<56>
95093886008867115662756371418453153664086477333202641290779818583933364323995183681<83>
factorization results 素因数分解の結果
N=1117928336703475776903421921652301609712789499179393724028453524020835876748922638166393596595848196781479468082144252628480591726913907749
  ( 139 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=11756048507674126757727631469404122254360149373597901029 (pp56)
 r2=95093886008867115662756371418453153664086477333202641290779818583933364323995183681 (pp83)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 159.05 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1117928336703475776903421921652301609712789499179393724028453524020835876748922638166393596595848196781479468082144252628480591726913907749
m: 500000000000000000000000000000000000
deg: 5
c5: 1424
c0: -265
skew: 0.71
# Murphy_E = 6.539e-11
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3750000, 11750001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1529814 x 1530038
Total sieving time: 156.42 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 2.22 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time: 159.05 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
351e6418118Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 3, 2010 16:36:50 UTC 2010 年 12 月 4 日 (土) 1 時 36 分 50 秒 (日本時間)
403e6110Ignacio SantosDecember 3, 2010 16:36:50 UTC 2010 年 12 月 4 日 (土) 1 時 36 分 50 秒 (日本時間)
4511e62332 / 443732Ignacio SantosDecember 3, 2010 16:36:50 UTC 2010 年 12 月 4 日 (土) 1 時 36 分 50 秒 (日本時間)
600Rich DickersonJuly 1, 2012 12:34:25 UTC 2012 年 7 月 1 日 (日) 21 時 34 分 25 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:44:52 UTC 2013 年 11 月 8 日 (金) 10 時 44 分 52 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:05:40 UTC 2013 年 11 月 9 日 (土) 2 時 5 分 40 秒 (日本時間)

89×10180-539

c158

name 名前Serge Batalov
date 日付October 21, 2010 09:02:13 UTC 2010 年 10 月 21 日 (木) 18 時 2 分 13 秒 (日本時間)
composite number 合成数
12857007406902729554458138821910422814052711278129786507199801481509887403509703204872289119273263915379501068261105892305902785569081448017028967489434140109<158>
prime factors 素因数
4136300633835100229522572496925193<34>
composite cofactor 合成数の残り
3108334849196382967181009697324318023259538335822614134612143591126776236739504493886635446382023243544799667520476129218213<124>
factorization results 素因数分解の結果
Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=2189377750
Step 1 took 3936ms
Step 2 took 2190ms
********** Factor found in step 2: 4136300633835100229522572496925193
Found probable prime factor of 34 digits: 4136300633835100229522572496925193
Composite cofactor 3108334849196382967181009697324318023259538335822614134612143591126776236739504493886635446382023243544799667520476129218213 has 124 digits

c124

name 名前Erik Branger
date 日付October 27, 2010 20:18:51 UTC 2010 年 10 月 28 日 (木) 5 時 18 分 51 秒 (日本時間)
composite number 合成数
3108334849196382967181009697324318023259538335822614134612143591126776236739504493886635446382023243544799667520476129218213<124>
prime factors 素因数
1589973202057373446823847262325062669<37>
1954960527117248950549122400097108234955980595276972456220418229970641145312410393968377<88>
factorization results 素因数分解の結果
Number: 98883_180
N = 3108334849196382967181009697324318023259538335822614134612143591126776236739504493886635446382023243544799667520476129218213 (124 digits)
Divisors found:
r1=1589973202057373446823847262325062669 (pp37)
r2=1954960527117248950549122400097108234955980595276972456220418229970641145312410393968377 (pp88)
Version: Msieve v. 1.45
Total time: 127.36 hours.
Factorization parameters were as follows:
# Murphy_E = 1.836e-10, selected by Erik Branger
n: 3108334849196382967181009697324318023259538335822614134612143591126776236739504493886635446382023243544799667520476129218213
Y0: -1281322131389019731077672
Y1: 13250462741869
c0: -165621120187264188724434155895
c1: 2140134168745712502710976
c2: 45967515702355033932
c3: -231100972898596
c4: -1272347557
c5: 900
skew: 202024.44
type: gnfs
# selected mechanically
rlim: 6500000
alim: 6500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [3250000, 6550000)
Relations: 10660418
Relations in full relation-set: 1658704 relations
Pruned matrix : 977433 x 977658
Polynomial selection time: 0.00 hours.
Total sieving time: 123.05 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 3.25 hours.
time per square root: 0.85 hours.
Prototype def-par.txt line would be: gnfs,123,5,65,2000,1e-05,0.28,250,20,50000,3600,6500000,6500000,27,27,52,52,2.5,2.5,100000
total time: 127.36 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 21, 2010 21:45:58 UTC 2010 年 10 月 22 日 (金) 6 時 45 分 58 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 21, 2010 21:45:58 UTC 2010 年 10 月 22 日 (金) 6 時 45 分 58 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 21, 2010 21:45:58 UTC 2010 年 10 月 22 日 (金) 6 時 45 分 58 秒 (日本時間)

89×10183-539

c155

name 名前Dmitry Domanov
date 日付January 21, 2014 06:23:35 UTC 2014 年 1 月 21 日 (火) 15 時 23 分 35 秒 (日本時間)
composite number 合成数
37748449678098139971644256482301681878434146990355301990361770104313607335329608215036616228723544202922092946194366317074144927249751364386260445520796041<155>
prime factors 素因数
1985500446405662853610114553073314493641741282601727577187417757<64>
19012058016120765083839046212100071927937013050594815162596915724811470573175734594292923613<92>
factorization results 素因数分解の結果
N=37748449678098139971644256482301681878434146990355301990361770104313607335329608215036616228723544202922092946194366317074144927249751364386260445520796041
  ( 155 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=1985500446405662853610114553073314493641741282601727577187417757 (pp64)
 r2=19012058016120765083839046212100071927937013050594815162596915724811470573175734594292923613 (pp92)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 246.99 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 37748449678098139971644256482301681878434146990355301990361770104313607335329608215036616228723544202922092946194366317074144927249751364386260445520796041
m: 1000000000000000000000000000000000000
deg: 5
c5: 89000
c0: -53
skew: 0.23
# Murphy_E = 4.055e-11
type: snfs
lss: 1
rlim: 8500000
alim: 8500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4250000, 16250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2026156 x 2026382
Total sieving time: 240.89 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 3.94 hours.
Time per square root: 1.90 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8500000,8500000,28,28,54,54,2.5,2.5,100000
total time: 246.99 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
351e6418118Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 3, 2010 17:11:40 UTC 2010 年 12 月 4 日 (土) 2 時 11 分 40 秒 (日本時間)
403e62210110Ignacio SantosDecember 3, 2010 17:11:40 UTC 2010 年 12 月 4 日 (土) 2 時 11 分 40 秒 (日本時間)
1500Dmitry DomanovDecember 30, 2013 12:36:49 UTC 2013 年 12 月 30 日 (月) 21 時 36 分 49 秒 (日本時間)
600Lionel DebrouxJanuary 2, 2014 11:54:01 UTC 2014 年 1 月 2 日 (木) 20 時 54 分 1 秒 (日本時間)
4511e632 / 3973Ignacio SantosDecember 3, 2010 17:11:40 UTC 2010 年 12 月 4 日 (土) 2 時 11 分 40 秒 (日本時間)

89×10184-539

c173

name 名前matsui
date 日付March 26, 2011 03:15:15 UTC 2011 年 3 月 26 日 (土) 12 時 15 分 15 秒 (日本時間)
composite number 合成数
33504195696996704898636700862208766367827631829987064691215069714956835373476825487709705836441143562783523167048837273051667208172750177572902450004230795942820730513722129<173>
prime factors 素因数
14633715408684963316321495229964287<35>
2289520792314459033789211139348214299881225826909439083281937048598335534917173081006579182678209648173456204874583570506405436601046422767<139>
factorization results 素因数分解の結果
N=33504195696996704898636700862208766367827631829987064691215069714956835373476825487709705836441143562783523167048837273051667208172750177572902450004230795942820730513722129
  ( 173 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=14633715408684963316321495229964287 (pp35)
 r2=2289520792314459033789211139348214299881225826909439083281937048598335534917173081006579182678209648173456204874583570506405436601046422767 (pp139)
Version: Msieve v. 1.48
Total time:
Scaled time: 20.92 units (timescale=0.450).
Factorization parameters were as follows:
n: 33504195696996704898636700862208766367827631829987064691215069714956835373476825487709705836441143562783523167048837273051667208172750177572902450004230795942820730513722129
m: 1000000000000000000000000000000000000
deg: 5
c5: 890000
c0: -53
skew: 0.14
type: snfs
lss: 1
rlim: 8800000
alim: 8800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8800000/8800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4400000, 16900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2046951 x 2047179
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,185.000,5,0,0,0,0,0,0,0,0,8800000,8800000,28,28,54,54,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 3, 2010 18:15:51 UTC 2010 年 12 月 4 日 (土) 3 時 15 分 51 秒 (日本時間)
403e6110 / 2126Ignacio SantosDecember 3, 2010 18:15:51 UTC 2010 年 12 月 4 日 (土) 3 時 15 分 51 秒 (日本時間)
4511e632 / 4437Ignacio SantosDecember 3, 2010 18:15:51 UTC 2010 年 12 月 4 日 (土) 3 時 15 分 51 秒 (日本時間)

89×10185-539

c152

name 名前Serge Batalov
date 日付October 21, 2010 08:46:19 UTC 2010 年 10 月 21 日 (木) 17 時 46 分 19 秒 (日本時間)
composite number 合成数
26223757474921114842038477441907780174582283606450502531631569659767192599426822998189857551259228855817897270785263276138334103359129103186064825319571<152>
prime factors 素因数
5937541747620688103167194771751<31>
4416601783967175979891774298879070641837598056349604827266304028647728893300591224084861222299314681346770542058681712821<121>
factorization results 素因数分解の結果
Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=3920135492
Step 1 took 3335ms
Step 2 took 2039ms
********** Factor found in step 2: 5937541747620688103167194771751
Found probable prime factor of 31 digits: 5937541747620688103167194771751
Probable prime cofactor 4416601783967175979891774298879070641837598056349604827266304028647728893300591224084861222299314681346770542058681712821 has 121 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)

89×10186-539

c166

name 名前LegionMammal978
date 日付July 13, 2017 00:34:44 UTC 2017 年 7 月 13 日 (木) 9 時 34 分 44 秒 (日本時間)
composite number 合成数
6209038198628037662478194907179604101202814320189269016193756211625057381560204272106790970086613140756165824528087263128448737207718893660676832364552391743034955093<166>
prime factors 素因数
2770829698714371313424445239488748098164792672271<49>
2240858830663230604805844814559706547738968522616243160742498653847707811551246047608052617699942512024918991868014683<118>
factorization results 素因数分解の結果
Wed Jul 12 17:21:19 2017  Msieve v. 1.53 (SVN Unversioned directory)
Wed Jul 12 17:21:19 2017  random seeds: 5b5b2645 91d6ec00
Wed Jul 12 17:21:19 2017  factoring 6209038198628037662478194907179604101202814320189269016193756211625057381560204272106790970086613140756165824528087263128448737207718893660676832364552391743034955093 (166 digits)
Wed Jul 12 17:21:20 2017  no P-1/P+1/ECM available, skipping
Wed Jul 12 17:21:20 2017  commencing number field sieve (166-digit input)
Wed Jul 12 17:21:20 2017  R0: -10000000000000000000000000000000000000
Wed Jul 12 17:21:20 2017  R1: 1
Wed Jul 12 17:21:20 2017  A0: -53
Wed Jul 12 17:21:20 2017  A1: 0
Wed Jul 12 17:21:20 2017  A2: 0
Wed Jul 12 17:21:20 2017  A3: 0
Wed Jul 12 17:21:20 2017  A4: 0
Wed Jul 12 17:21:20 2017  A5: 890
Wed Jul 12 17:21:20 2017  skew 0.57, size 2.809e-13, alpha 0.211, combined = 3.889e-11 rroots = 1
Wed Jul 12 17:21:20 2017  
Wed Jul 12 17:21:20 2017  commencing relation filtering
Wed Jul 12 17:21:20 2017  estimated available RAM is 15929.4 MB
Wed Jul 12 17:21:20 2017  commencing duplicate removal, pass 1
Wed Jul 12 17:24:02 2017  found 3252766 hash collisions in 22080351 relations
Wed Jul 12 17:24:20 2017  added 348 free relations
Wed Jul 12 17:24:20 2017  commencing duplicate removal, pass 2
Wed Jul 12 17:24:26 2017  found 2938907 duplicates and 19141792 unique relations
Wed Jul 12 17:24:26 2017  memory use: 98.6 MB
Wed Jul 12 17:24:26 2017  reading ideals above 720000
Wed Jul 12 17:24:26 2017  commencing singleton removal, initial pass
Wed Jul 12 17:26:31 2017  memory use: 689.0 MB
Wed Jul 12 17:26:31 2017  reading all ideals from disk
Wed Jul 12 17:26:32 2017  memory use: 609.3 MB
Wed Jul 12 17:26:33 2017  keeping 21341952 ideals with weight <= 200, target excess is 116010
Wed Jul 12 17:26:33 2017  commencing in-memory singleton removal
Wed Jul 12 17:26:34 2017  begin with 19141792 relations and 21341952 unique ideals
Wed Jul 12 17:26:43 2017  reduce to 7660613 relations and 7489948 ideals in 20 passes
Wed Jul 12 17:26:43 2017  max relations containing the same ideal: 103
Wed Jul 12 17:26:45 2017  removing 294971 relations and 276924 ideals in 18047 cliques
Wed Jul 12 17:26:45 2017  commencing in-memory singleton removal
Wed Jul 12 17:26:46 2017  begin with 7365642 relations and 7489948 unique ideals
Wed Jul 12 17:26:49 2017  reduce to 7355404 relations and 7202741 ideals in 10 passes
Wed Jul 12 17:26:49 2017  max relations containing the same ideal: 101
Wed Jul 12 17:26:51 2017  removing 212624 relations and 194577 ideals in 18047 cliques
Wed Jul 12 17:26:51 2017  commencing in-memory singleton removal
Wed Jul 12 17:26:52 2017  begin with 7142780 relations and 7202741 unique ideals
Wed Jul 12 17:26:55 2017  reduce to 7137370 relations and 7002739 ideals in 9 passes
Wed Jul 12 17:26:55 2017  max relations containing the same ideal: 98
Wed Jul 12 17:26:56 2017  relations with 0 large ideals: 2870
Wed Jul 12 17:26:56 2017  relations with 1 large ideals: 877
Wed Jul 12 17:26:56 2017  relations with 2 large ideals: 16534
Wed Jul 12 17:26:56 2017  relations with 3 large ideals: 129866
Wed Jul 12 17:26:56 2017  relations with 4 large ideals: 556890
Wed Jul 12 17:26:56 2017  relations with 5 large ideals: 1377836
Wed Jul 12 17:26:56 2017  relations with 6 large ideals: 2107068
Wed Jul 12 17:26:56 2017  relations with 7+ large ideals: 2945429
Wed Jul 12 17:26:56 2017  commencing 2-way merge
Wed Jul 12 17:26:59 2017  reduce to 4139063 relation sets and 4004436 unique ideals
Wed Jul 12 17:26:59 2017  ignored 4 oversize relation sets
Wed Jul 12 17:26:59 2017  commencing full merge
Wed Jul 12 17:27:45 2017  memory use: 481.8 MB
Wed Jul 12 17:27:46 2017  found 2115987 cycles, need 2104636
Wed Jul 12 17:27:46 2017  weight of 2104636 cycles is about 147611844 (70.14/cycle)
Wed Jul 12 17:27:46 2017  distribution of cycle lengths:
Wed Jul 12 17:27:46 2017  1 relations: 319872
Wed Jul 12 17:27:46 2017  2 relations: 276387
Wed Jul 12 17:27:46 2017  3 relations: 255411
Wed Jul 12 17:27:46 2017  4 relations: 219208
Wed Jul 12 17:27:46 2017  5 relations: 186131
Wed Jul 12 17:27:46 2017  6 relations: 154281
Wed Jul 12 17:27:46 2017  7 relations: 129096
Wed Jul 12 17:27:46 2017  8 relations: 105270
Wed Jul 12 17:27:46 2017  9 relations: 85292
Wed Jul 12 17:27:46 2017  10+ relations: 373688
Wed Jul 12 17:27:46 2017  heaviest cycle: 27 relations
Wed Jul 12 17:27:46 2017  commencing cycle optimization
Wed Jul 12 17:27:49 2017  start with 12083362 relations
Wed Jul 12 17:28:01 2017  pruned 252303 relations
Wed Jul 12 17:28:01 2017  memory use: 408.8 MB
Wed Jul 12 17:28:01 2017  distribution of cycle lengths:
Wed Jul 12 17:28:01 2017  1 relations: 319872
Wed Jul 12 17:28:01 2017  2 relations: 282322
Wed Jul 12 17:28:01 2017  3 relations: 263131
Wed Jul 12 17:28:01 2017  4 relations: 223050
Wed Jul 12 17:28:01 2017  5 relations: 189311
Wed Jul 12 17:28:01 2017  6 relations: 154858
Wed Jul 12 17:28:01 2017  7 relations: 128924
Wed Jul 12 17:28:01 2017  8 relations: 103804
Wed Jul 12 17:28:01 2017  9 relations: 83665
Wed Jul 12 17:28:01 2017  10+ relations: 355699
Wed Jul 12 17:28:01 2017  heaviest cycle: 27 relations
Wed Jul 12 17:28:03 2017  RelProcTime: 403
Wed Jul 12 17:28:03 2017  elapsed time 00:06:44
Wed Jul 12 17:28:03 2017 LatSieveTime: 1322.64
Wed Jul 12 17:28:03 2017 -> Running matrix solving step ...
Wed Jul 12 17:28:03 2017 -> ./msieve -s 98883_186/98883_186.dat -l 98883_186/98883_186.log -i 98883_186/98883_186.ini -nf 98883_186/98883_186.fb -t 4 -nc2
Wed Jul 12 17:28:03 2017  
Wed Jul 12 17:28:03 2017  
Wed Jul 12 17:28:03 2017  Msieve v. 1.53 (SVN Unversioned directory)
Wed Jul 12 17:28:03 2017  random seeds: 5dde878d 3f9b4e4a
Wed Jul 12 17:28:03 2017  factoring 6209038198628037662478194907179604101202814320189269016193756211625057381560204272106790970086613140756165824528087263128448737207718893660676832364552391743034955093 (166 digits)
Wed Jul 12 17:28:04 2017  no P-1/P+1/ECM available, skipping
Wed Jul 12 17:28:04 2017  commencing number field sieve (166-digit input)
Wed Jul 12 17:28:04 2017  R0: -10000000000000000000000000000000000000
Wed Jul 12 17:28:04 2017  R1: 1
Wed Jul 12 17:28:04 2017  A0: -53
Wed Jul 12 17:28:04 2017  A1: 0
Wed Jul 12 17:28:04 2017  A2: 0
Wed Jul 12 17:28:04 2017  A3: 0
Wed Jul 12 17:28:04 2017  A4: 0
Wed Jul 12 17:28:04 2017  A5: 890
Wed Jul 12 17:28:04 2017  skew 0.57, size 2.809e-13, alpha 0.211, combined = 3.889e-11 rroots = 1
Wed Jul 12 17:28:04 2017  
Wed Jul 12 17:28:04 2017  commencing linear algebra
Wed Jul 12 17:28:04 2017  read 2104636 cycles
Wed Jul 12 17:28:07 2017  cycles contain 6959819 unique relations
Wed Jul 12 17:28:41 2017  read 6959819 relations
Wed Jul 12 17:28:46 2017  using 20 quadratic characters above 4294917295
Wed Jul 12 17:29:14 2017  building initial matrix
Wed Jul 12 17:29:58 2017  memory use: 861.4 MB
Wed Jul 12 17:29:59 2017  read 2104636 cycles
Wed Jul 12 17:29:59 2017  matrix is 2104455 x 2104636 (632.6 MB) with weight 189122066 (89.86/col)
Wed Jul 12 17:29:59 2017  sparse part has weight 142678998 (67.79/col)
Wed Jul 12 17:30:12 2017  filtering completed in 2 passes
Wed Jul 12 17:30:12 2017  matrix is 2101651 x 2101830 (632.3 MB) with weight 189016621 (89.93/col)
Wed Jul 12 17:30:12 2017  sparse part has weight 142641028 (67.87/col)
Wed Jul 12 17:30:16 2017  matrix starts at (0, 0)
Wed Jul 12 17:30:17 2017  matrix is 2101651 x 2101830 (632.3 MB) with weight 189016621 (89.93/col)
Wed Jul 12 17:30:17 2017  sparse part has weight 142641028 (67.87/col)
Wed Jul 12 17:30:17 2017  saving the first 48 matrix rows for later
Wed Jul 12 17:30:17 2017  matrix includes 64 packed rows
Wed Jul 12 17:30:17 2017  matrix is 2101603 x 2101830 (603.3 MB) with weight 150615463 (71.66/col)
Wed Jul 12 17:30:17 2017  sparse part has weight 137124598 (65.24/col)
Wed Jul 12 17:30:17 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Wed Jul 12 17:30:22 2017  commencing Lanczos iteration (4 threads)
Wed Jul 12 17:30:22 2017  memory use: 483.7 MB
Wed Jul 12 17:30:28 2017  linear algebra at 0.1%, ETA 2h18m
Wed Jul 12 17:30:30 2017  checkpointing every 920000 dimensions
Wed Jul 12 19:29:47 2017  lanczos halted after 33242 iterations (dim = 2101603)
Wed Jul 12 19:29:49 2017  recovered 39 nontrivial dependencies
Wed Jul 12 19:29:49 2017  BLanczosTime: 7305
Wed Jul 12 19:29:49 2017  elapsed time 02:01:46
Wed Jul 12 19:29:49 2017 -> Running square root step ...
Wed Jul 12 19:29:49 2017 -> ./msieve -s 98883_186/98883_186.dat -l 98883_186/98883_186.log -i 98883_186/98883_186.ini -nf 98883_186/98883_186.fb -t 4 -nc3
Wed Jul 12 19:29:49 2017  
Wed Jul 12 19:29:49 2017  
Wed Jul 12 19:29:49 2017  Msieve v. 1.53 (SVN Unversioned directory)
Wed Jul 12 19:29:49 2017  random seeds: 7c41ef07 0abc9a0a
Wed Jul 12 19:29:49 2017  factoring 6209038198628037662478194907179604101202814320189269016193756211625057381560204272106790970086613140756165824528087263128448737207718893660676832364552391743034955093 (166 digits)
Wed Jul 12 19:29:50 2017  no P-1/P+1/ECM available, skipping
Wed Jul 12 19:29:50 2017  commencing number field sieve (166-digit input)
Wed Jul 12 19:29:50 2017  R0: -10000000000000000000000000000000000000
Wed Jul 12 19:29:50 2017  R1: 1
Wed Jul 12 19:29:50 2017  A0: -53
Wed Jul 12 19:29:50 2017  A1: 0
Wed Jul 12 19:29:50 2017  A2: 0
Wed Jul 12 19:29:50 2017  A3: 0
Wed Jul 12 19:29:50 2017  A4: 0
Wed Jul 12 19:29:50 2017  A5: 890
Wed Jul 12 19:29:50 2017  skew 0.57, size 2.809e-13, alpha 0.211, combined = 3.889e-11 rroots = 1
Wed Jul 12 19:29:50 2017  
Wed Jul 12 19:29:50 2017  commencing square root phase
Wed Jul 12 19:29:50 2017  reading relations for dependency 1
Wed Jul 12 19:29:50 2017  read 1051283 cycles
Wed Jul 12 19:29:51 2017  cycles contain 3481814 unique relations
Wed Jul 12 19:30:09 2017  read 3481814 relations
Wed Jul 12 19:30:19 2017  multiplying 3481814 relations
Wed Jul 12 19:32:01 2017  multiply complete, coefficients have about 111.24 million bits
Wed Jul 12 19:32:02 2017  initial square root is modulo 96529331
Wed Jul 12 19:34:17 2017  GCD is 1, no factor found
Wed Jul 12 19:34:17 2017  reading relations for dependency 2
Wed Jul 12 19:34:17 2017  read 1051606 cycles
Wed Jul 12 19:34:18 2017  cycles contain 3479574 unique relations
Wed Jul 12 19:34:36 2017  read 3479574 relations
Wed Jul 12 19:34:45 2017  multiplying 3479574 relations
Wed Jul 12 19:36:27 2017  multiply complete, coefficients have about 111.17 million bits
Wed Jul 12 19:36:27 2017  initial square root is modulo 95408461
Wed Jul 12 19:38:43 2017  Newton iteration failed to converge
Wed Jul 12 19:38:43 2017  algebraic square root failed
Wed Jul 12 19:38:43 2017  reading relations for dependency 3
Wed Jul 12 19:38:43 2017  read 1051502 cycles
Wed Jul 12 19:38:44 2017  cycles contain 3480834 unique relations
Wed Jul 12 19:39:01 2017  read 3480834 relations
Wed Jul 12 19:39:11 2017  multiplying 3480834 relations
Wed Jul 12 19:40:53 2017  multiply complete, coefficients have about 111.21 million bits
Wed Jul 12 19:40:53 2017  initial square root is modulo 96059251
Wed Jul 12 19:43:09 2017  GCD is 1, no factor found
Wed Jul 12 19:43:09 2017  reading relations for dependency 4
Wed Jul 12 19:43:10 2017  read 1050901 cycles
Wed Jul 12 19:43:11 2017  cycles contain 3478908 unique relations
Wed Jul 12 19:43:28 2017  read 3478908 relations
Wed Jul 12 19:43:38 2017  multiplying 3478908 relations
Wed Jul 12 19:45:20 2017  multiply complete, coefficients have about 111.15 million bits
Wed Jul 12 19:45:20 2017  initial square root is modulo 95047151
Wed Jul 12 19:47:37 2017  sqrtTime: 1067
Wed Jul 12 19:47:37 2017  p49 factor: 2770829698714371313424445239488748098164792672271
Wed Jul 12 19:47:37 2017  p118 factor: 2240858830663230604805844814559706547738968522616243160742498653847707811551246047608052617699942512024918991868014683
Wed Jul 12 19:47:37 2017  elapsed time 00:17:48
software ソフトウェア
Msieve 1.53 snfs
execution environment 実行環境
Core i7-2600K 3.4GHz, Ubuntu 16.04.2 LTS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 4, 2010 22:04:06 UTC 2010 年 12 月 5 日 (日) 7 時 4 分 6 秒 (日本時間)
403e61910110Ignacio SantosDecember 4, 2010 22:04:06 UTC 2010 年 12 月 5 日 (日) 7 時 4 分 6 秒 (日本時間)
1500Dmitry DomanovDecember 30, 2013 12:36:59 UTC 2013 年 12 月 30 日 (月) 21 時 36 分 59 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:44 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 44 秒 (日本時間)
4511e61032 / 403932Ignacio SantosDecember 4, 2010 22:04:06 UTC 2010 年 12 月 5 日 (日) 7 時 4 分 6 秒 (日本時間)
1000Dmitry DomanovJanuary 21, 2014 05:59:17 UTC 2014 年 1 月 21 日 (火) 14 時 59 分 17 秒 (日本時間)

89×10187-539

c171

composite cofactor 合成数の残り
157810135775667553245970689094997578821894883461606244889012280288410132861817660436435719456037332735369935858289744021670678071820834267935440679813168254731617934843339<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 4, 2010 23:10:13 UTC 2010 年 12 月 5 日 (日) 8 時 10 分 13 秒 (日本時間)
403e61910110Ignacio SantosDecember 4, 2010 23:10:13 UTC 2010 年 12 月 5 日 (日) 8 時 10 分 13 秒 (日本時間)
1500Dmitry DomanovDecember 30, 2013 12:37:10 UTC 2013 年 12 月 30 日 (月) 21 時 37 分 10 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:44 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 44 秒 (日本時間)
4511e6403932Ignacio SantosDecember 4, 2010 23:10:13 UTC 2010 年 12 月 5 日 (日) 8 時 10 分 13 秒 (日本時間)
600Dmitry DomanovJanuary 17, 2014 12:02:29 UTC 2014 年 1 月 17 日 (金) 21 時 2 分 29 秒 (日本時間)
600Dmitry DomanovMarch 20, 2014 09:04:27 UTC 2014 年 3 月 20 日 (木) 18 時 4 分 27 秒 (日本時間)
2807Jo Yeong UkMarch 24, 2018 23:50:28 UTC 2018 年 3 月 25 日 (日) 8 時 50 分 28 秒 (日本時間)

89×10188-539

c148

name 名前Serge Batalov
date 日付November 9, 2010 18:03:12 UTC 2010 年 11 月 10 日 (水) 3 時 3 分 12 秒 (日本時間)
composite number 合成数
2150464634811806765533351083837067529541395478875211899603273237501104805508451647212617488914116357102570076658329385484822652206440996102556562101<148>
prime factors 素因数
1288258550750502928898876985209479<34>
composite cofactor 合成数の残り
1669280311439816954946302440258797911009019096826093068175108763588227024677890250814648737001890886713295248258019<115>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3327557317
Step 1 took 4369ms
Step 2 took 2452ms
********** Factor found in step 2: 1288258550750502928898876985209479
Found probable prime factor of 34 digits: 1288258550750502928898876985209479
Composite cofactor 1669280311439816954946302440258797911009019096826093068175108763588227024677890250814648737001890886713295248258019 has 115 digits

c115

name 名前Erik Branger
date 日付November 11, 2010 19:27:29 UTC 2010 年 11 月 12 日 (金) 4 時 27 分 29 秒 (日本時間)
composite number 合成数
1669280311439816954946302440258797911009019096826093068175108763588227024677890250814648737001890886713295248258019<115>
prime factors 素因数
85581704065670308615941471581166096545593648379<47>
19505107191589811603746287590190899377752633074391189750150475311161<68>
factorization results 素因数分解の結果
Number: 98883_188
N = 1669280311439816954946302440258797911009019096826093068175108763588227024677890250814648737001890886713295248258019 (115 digits)
Divisors found:
r1=85581704065670308615941471581166096545593648379 (pp47)
r2=19505107191589811603746287590190899377752633074391189750150475311161 (pp68)
Version: Msieve v. 1.47
Total time: 19.43 hours.
Factorization parameters were as follows:
# Murphy_E = 7.122e-10, selected by Erik Branger
n: 1669280311439816954946302440258797911009019096826093068175108763588227024677890250814648737001890886713295248258019
Y0: -14813715959619590381292
Y1: 1148077060957
c0: 2036199533692777706258573755
c1: 775501365904519585351
c2: 1443096138974199833
c3: -119650728259915
c4: -462463092
c5: 2340
skew: 97479.14
type: gnfs
# selected mechanically
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [1850000, 2750000)
Relations: 7543749
Relations in full relation-set: 802508 relations
Pruned matrix : 463002 x 463228
Polynomial selection time: 0.00 hours.
Total sieving time: 18.89 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.26 hours.
time per square root: 0.23 hours.
Prototype def-par.txt line would be: gnfs,114,5,61,2000,0.00016,0.25,250,15,50000,2800,3700000,3700000,27,27,50,50,2.5,2.5,100000
total time: 19.43 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
351e6118Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2318Erik BrangerNovember 11, 2010 13:11:34 UTC 2010 年 11 月 11 日 (木) 22 時 11 分 34 秒 (日本時間)

89×10189-539

c182

name 名前Wataru Sakai
date 日付October 22, 2010 04:44:29 UTC 2010 年 10 月 22 日 (金) 13 時 44 分 29 秒 (日本時間)
composite number 合成数
30028008131990823736271438027007336942626359048374458797491564252762564180240875821285464701731118751268803539957477715564839567874735506767377272495067888699036638777702006991460271<182>
prime factors 素因数
6778092905103110907506959871561<31>
4430155879005914325570880425563801384086685961815967683413901526236265599012106186428229409029136470023641050485203967096840996038226471453298876397111<151>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1663970239
Step 1 took 18277ms
********** Factor found in step 1: 6778092905103110907506959871561
Found probable prime factor of 31 digits: 6778092905103110907506959871561
Probable prime cofactor 4430155879005914325570880425563801384086685961815967683413901526236265599012106186428229409029136470023641050485203967096840996038226471453298876397111 has 151 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)

89×10190-539

c189

name 名前Ignacio Santos
date 日付October 27, 2010 05:36:39 UTC 2010 年 10 月 27 日 (水) 14 時 36 分 39 秒 (日本時間)
composite number 合成数
170792554212243331414315870274419497217424678564574937631932450585300326232968720015352139704471310688927269238150067165611207061984264056802916906543849549030896181155248512761466129341777<189>
prime factors 素因数
68653758000377040757880747749280863497732064019790223767574326423104007255209196738288695747<92>
2487737877528938078518057476700030881506904633281615099114052022320983575106134291550889787590491<97>
factorization results 素因数分解の結果
Number: 3
N=170792554212243331414315870274419497217424678564574937631932450585300326232968720015352139704471310688927269238150067165611207061984264056802916906543849549030896181155248512761466129341777
  ( 189 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=68653758000377040757880747749280863497732064019790223767574326423104007255209196738288695747 (pp92)
 r2=2487737877528938078518057476700030881506904633281615099114052022320983575106134291550889787590491 (pp97)
Version: Msieve-1.40
Total time: 365.85 hours.
Scaled time: 636.21 units (timescale=1.739).
Factorization parameters were as follows:
n: 170792554212243331414315870274419497217424678564574937631932450585300326232968720015352139704471310688927269238150067165611207061984264056802916906543849549030896181155248512761466129341777
m: 100000000000000000000000000000000000000
deg: 5
c5: 89
c0: -53
skew: 0.90
type: snfs
lss: 1
rlim: 11100000
alim: 11100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5Factor base limits: 11100000/11100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5550000, 11350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2127227 x 2127452
Total sieving time: 357.66 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 7.07 hours.
Time per square root: 0.86 hours.
Prototype def-par.txt line would be:
snfs,191.000,5,0,0,0,0,0,0,0,0,11100000,11100000,28,28,54,54,2.5,2.5,100000
total time: 365.85 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 22, 2010 05:48:50 UTC 2010 年 10 月 22 日 (金) 14 時 48 分 50 秒 (日本時間)
403e62428110Ignacio SantosOctober 22, 2010 05:48:50 UTC 2010 年 10 月 22 日 (金) 14 時 48 分 50 秒 (日本時間)
2318Wataru SakaiOctober 22, 2010 11:48:04 UTC 2010 年 10 月 22 日 (金) 20 時 48 分 4 秒 (日本時間)
4511e632 / 3924Ignacio SantosOctober 22, 2010 05:48:50 UTC 2010 年 10 月 22 日 (金) 14 時 48 分 50 秒 (日本時間)

89×10193-539

c154

composite cofactor 合成数の残り
3373645474681682352874817480372910614757929348033698548191134201661244493699735931169104269785203146316623522511701229920924624547563825172092232311477421<154>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 5, 2010 00:20:59 UTC 2010 年 12 月 5 日 (日) 9 時 20 分 59 秒 (日本時間)
403e61910110Ignacio SantosDecember 5, 2010 00:20:59 UTC 2010 年 12 月 5 日 (日) 9 時 20 分 59 秒 (日本時間)
1500Dmitry DomanovDecember 30, 2013 12:37:19 UTC 2013 年 12 月 30 日 (月) 21 時 37 分 19 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:45 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 45 秒 (日本時間)
4511e61532 / 403932Ignacio SantosDecember 5, 2010 00:20:59 UTC 2010 年 12 月 5 日 (日) 9 時 20 分 59 秒 (日本時間)
1500Dmitry DomanovJanuary 17, 2014 12:01:20 UTC 2014 年 1 月 17 日 (金) 21 時 1 分 20 秒 (日本時間)

89×10194-539

c148

name 名前Dmitry Domanov
date 日付December 23, 2013 14:38:11 UTC 2013 年 12 月 23 日 (月) 23 時 38 分 11 秒 (日本時間)
composite number 合成数
6171858945273131936918135065206748569051071692864991926229470942573280633977670076198813815389751112167828392623102576277662151258699326352543013647<148>
prime factors 素因数
56467372544864242124323111957704645641699<41>
109299559499948222939372601959563843919450130620915830386012106686797005494438062366502063466130667761876453<108>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3383953709
Step 1 took 16457ms
Step 2 took 7304ms
********** Factor found in step 2: 56467372544864242124323111957704645641699
Found probable prime factor of 41 digits: 56467372544864242124323111957704645641699

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61576118Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)
1458juno1369November 3, 2010 22:14:54 UTC 2010 年 11 月 4 日 (木) 7 時 14 分 54 秒 (日本時間)

89×10195-539

c165

composite cofactor 合成数の残り
311104957697528200823949941786712174975313418778572009148990849472961146431130298328459478727858190358632038525983089781503467711200444463013539766891825945919986277<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 5, 2010 01:09:54 UTC 2010 年 12 月 5 日 (日) 10 時 9 分 54 秒 (日本時間)
403e61910110Ignacio SantosDecember 5, 2010 01:09:54 UTC 2010 年 12 月 5 日 (日) 10 時 9 分 54 秒 (日本時間)
1500Dmitry DomanovDecember 30, 2013 12:37:30 UTC 2013 年 12 月 30 日 (月) 21 時 37 分 30 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:46 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 46 秒 (日本時間)
4511e61532 / 403932Ignacio SantosDecember 5, 2010 01:09:54 UTC 2010 年 12 月 5 日 (日) 10 時 9 分 54 秒 (日本時間)
1500Dmitry DomanovJanuary 17, 2014 12:01:07 UTC 2014 年 1 月 17 日 (金) 21 時 1 分 7 秒 (日本時間)

89×10197-539

c165

composite cofactor 合成数の残り
278779174149066496672493249080358896923630950209509518856057244962784141407247843166493289325201498309930901416296782832220311540122006936306845379530512330855758961<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 5, 2010 15:42:35 UTC 2010 年 12 月 6 日 (月) 0 時 42 分 35 秒 (日本時間)
403e61910110Ignacio SantosDecember 5, 2010 15:42:35 UTC 2010 年 12 月 6 日 (月) 0 時 42 分 35 秒 (日本時間)
1500Dmitry DomanovDecember 30, 2013 12:37:38 UTC 2013 年 12 月 30 日 (月) 21 時 37 分 38 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:47 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 47 秒 (日本時間)
4511e61532 / 403932Ignacio SantosDecember 5, 2010 15:42:35 UTC 2010 年 12 月 6 日 (月) 0 時 42 分 35 秒 (日本時間)
1500Dmitry DomanovJanuary 17, 2014 12:00:54 UTC 2014 年 1 月 17 日 (金) 21 時 0 分 54 秒 (日本時間)

89×10198-539

c191

name 名前Robert Backstrom
date 日付October 23, 2010 08:35:31 UTC 2010 年 10 月 23 日 (土) 17 時 35 分 31 秒 (日本時間)
composite number 合成数
18240830802110117425047007445913486969157409461943231076164294496526945507848501022437610034314800520732761218939107759111277718350688173166114374173367435349438930603035285271950866837553861<191>
prime factors 素因数
49641751524598638210522099996106209942514737525440845899923836808092638212247824272553228625163<95>
367449379643088602031414759366158916270668687424759419701901199471170122791419588114378214062447<96>
factorization results 素因数分解の結果
Number: n
N=18240830802110117425047007445913486969157409461943231076164294496526945507848501022437610034314800520732761218939107759111277718350688173166114374173367435349438930603035285271950866837553861
  ( 191 digits)
SNFS difficulty: 199 digits.
Divisors found:

Sat Oct 23 18:24:16 2010  prp95 factor: 49641751524598638210522099996106209942514737525440845899923836808092638212247824272553228625163
Sat Oct 23 18:24:16 2010  prp96 factor: 367449379643088602031414759366158916270668687424759419701901199471170122791419588114378214062447
Sat Oct 23 18:24:16 2010  elapsed time 06:45:40 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.090).
Factorization parameters were as follows:
name: KA_9_8_197_3
n: 18240830802110117425047007445913486969157409461943231076164294496526945507848501022437610034314800520732761218939107759111277718350688173166114374173367435349438930603035285271950866837553861
m: 1000000000000000000000000000000000000000
deg: 5
c5: 89000
c0: -53
skew: 0.23
type: snfs
lss: 1
rlim: 15100000
alim: 15100000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
Factor base limits: 15100000/15100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7429007 hash collisions in 39254202 relations
Msieve: matrix is 2119342 x 2119567 (596.0 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,199,5,0,0,0,0,0,0,0,0,15100000,15100000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 4015340k/5242880k available (3972k kernel code, 1049604k absent, 177936k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.05 BogoMIPS (lpj=2830525)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830446)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.93 BogoMIPS (lpj=2830468)
Total of 4 processors activated (22643.79 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)

89×10199-539

c142

name 名前Serge Batalov
date 日付October 21, 2010 09:05:21 UTC 2010 年 10 月 21 日 (木) 18 時 5 分 21 秒 (日本時間)
composite number 合成数
1683281712745538331519985675039437614890523765429233926358733099946530108080427338925277863862851871043784698413996992027460293944767446532907<142>
prime factors 素因数
41747573018798304920982687053<29>
40320468736891168874582381760999389108543435511680403757313839603618684804252129874217624110073208787720826271319<113>
factorization results 素因数分解の結果
Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=1402557621
Step 1 took 3313ms
********** Factor found in step 1: 41747573018798304920982687053
Found probable prime factor of 29 digits: 41747573018798304920982687053
Probable prime cofactor 40320468736891168874582381760999389108543435511680403757313839603618684804252129874217624110073208787720826271319 has 113 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 21, 2010 04:00:00 UTC 2010 年 10 月 21 日 (木) 13 時 0 分 0 秒 (日本時間)

89×10201-539

c129

name 名前Ignacio Santos
date 日付December 3, 2013 22:33:14 UTC 2013 年 12 月 4 日 (水) 7 時 33 分 14 秒 (日本時間)
composite number 合成数
526012615020658835894107595744952855435922851035992159174227817467318574693452022521657655461018457598072930974540502629210417051<129>
prime factors 素因数
1187278506332984504159924012735557<34>
composite cofactor 合成数の残り
443040627969671314901177222928489250908062225093908930648571411652665011540569294071426516853343<96>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1500802378
Step 1 took 6265ms
Step 2 took 5094ms
********** Factor found in step 2: 1187278506332984504159924012735557
Found probable prime factor of 34 digits: 1187278506332984504159924012735557
Composite cofactor 443040627969671314901177222928489250908062225093908930648571411652665011540569294071426516853343 has 96 digits
software ソフトウェア
GMP-ECM 7.0

c96

name 名前Dmitry Domanov
date 日付December 4, 2013 15:14:06 UTC 2013 年 12 月 5 日 (木) 0 時 14 分 6 秒 (日本時間)
composite number 合成数
443040627969671314901177222928489250908062225093908930648571411652665011540569294071426516853343<96>
prime factors 素因数
41915636939444508009891801586560687152059<41>
10569817383658795566299846813919642661696795432697487277<56>
factorization results 素因数分解の結果
N=443040627969671314901177222928489250908062225093908930648571411652665011540569294071426516853343
  ( 96 digits)
Divisors found:
 r1=41915636939444508009891801586560687152059 (pp41)
 r2=10569817383658795566299846813919642661696795432697487277 (pp56)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 3.25 hours.
Scaled time: 4.43 units (timescale=1.363).
Factorization parameters were as follows:
n: 443040627969671314901177222928489250908062225093908930648571411652665011540569294071426516853343
skew: 472700.50
c0: 40630924841606663061141978
c1: -1124317764797489095069
c2: -1929936304202092
c3: 3129265056
c4: 9180
Y0: -83348897119946275566275
Y1: 812124567797
rlim: 1560000
alim: 1560000
lpbr: 25
lpba: 25
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 100000
type: gnfs
Factor base limits: 1560000/1560000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 50/50
Sieved algebraic special-q in [780000, 1080001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 130321 x 130560
Total sieving time: 3.11 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,95,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1560000,1560000,25,25,50,50,2.5,2.5,60000
total time: 3.25 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)

89×10202-539

c187

composite cofactor 合成数の残り
2234397418749652932002206916682091820716752774159161950291564013721426730832622848395576325584101299571530234631771155592379701957403010310557494791367084819132934954310131080892233868467<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovDecember 30, 2013 12:37:48 UTC 2013 年 12 月 30 日 (月) 21 時 37 分 48 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:48 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 48 秒 (日本時間)
4511e61500 / 4077Dmitry DomanovJanuary 17, 2014 12:00:41 UTC 2014 年 1 月 17 日 (金) 21 時 0 分 41 秒 (日本時間)

89×10203-539

c192

composite cofactor 合成数の残り
372644831670746862756342632403989733325019308740965941945751335459241462506500681007363800044769808424467390433377630731769310729920916609908052030312564731386758138303121884820411840313367957<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovDecember 30, 2013 12:37:56 UTC 2013 年 12 月 30 日 (月) 21 時 37 分 56 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:48 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 48 秒 (日本時間)
4511e61500 / 4077Dmitry DomanovJanuary 17, 2014 12:00:28 UTC 2014 年 1 月 17 日 (金) 21 時 0 分 28 秒 (日本時間)

89×10205-539

c191

composite cofactor 合成数の残り
13797029357786330239809098522938755236139364028213387631243401096671534318489960754291324639650396989565413953006239704827659554527271709323457192071615835825420580266320630473950201156752769<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovDecember 30, 2013 12:38:05 UTC 2013 年 12 月 30 日 (月) 21 時 38 分 5 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:49 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 49 秒 (日本時間)
4511e61500 / 4077Dmitry DomanovJanuary 17, 2014 12:00:14 UTC 2014 年 1 月 17 日 (金) 21 時 0 分 14 秒 (日本時間)

89×10206-539

c194

name 名前Dmitry Domanov
date 日付December 19, 2013 07:02:41 UTC 2013 年 12 月 19 日 (木) 16 時 2 分 41 秒 (日本時間)
composite number 合成数
66148992023498341862464531001565741605541011959455313314106891585620816615130648414220940248886106079684491447972245133063532067359673798650319860096973939052683275488934898575758077321435422017<194>
prime factors 素因数
226267252612546449772736020914313<33>
composite cofactor 合成数の残り
292348942499292982263773951521098049446408246561492338195090940764643457118278223879438444417695255591343146674824838052569657671848812867658692724482708857436409<162>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1479820991
Step 1 took 27118ms
Step 2 took 9986ms
********** Factor found in step 2: 226267252612546449772736020914313
Found probable prime factor of 33 digits: 226267252612546449772736020914313

c162

name 名前Dmitry Domanov
date 日付December 23, 2013 14:36:11 UTC 2013 年 12 月 23 日 (月) 23 時 36 分 11 秒 (日本時間)
composite number 合成数
292348942499292982263773951521098049446408246561492338195090940764643457118278223879438444417695255591343146674824838052569657671848812867658692724482708857436409<162>
prime factors 素因数
355310343748784088997773012482087<33>
822798850759023061621834837960219732415705196622459750751756403843690698268075986205175999915198882230630755710784829023428221407<129>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1770507562
Step 1 took 19409ms
Step 2 took 7932ms
********** Factor found in step 2: 355310343748784088997773012482087
Found probable prime factor of 33 digits: 355310343748784088997773012482087

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)

89×10207-539

c165

composite cofactor 合成数の残り
275695991815148573779254631210569700284254640593613066932443579502491250095113502989890353169784832725089474749854557828560953062854350147023522166506544884126624479<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovDecember 30, 2013 12:38:22 UTC 2013 年 12 月 30 日 (月) 21 時 38 分 22 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:50 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 50 秒 (日本時間)
4511e61500 / 3375Dmitry DomanovJanuary 17, 2014 12:00:01 UTC 2014 年 1 月 17 日 (金) 21 時 0 分 1 秒 (日本時間)
5043e6200 / 7148Dmitry DomanovSeptember 2, 2014 10:23:53 UTC 2014 年 9 月 2 日 (火) 19 時 23 分 53 秒 (日本時間)

89×10208-539

c181

composite cofactor 合成数の残り
9076631542330947494088774672846306540208581683740597984185678787842837003494093921247545004571759604691594898703862017016543390587626158508710869209022921478945599083568732831373377<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovDecember 30, 2013 12:38:31 UTC 2013 年 12 月 30 日 (月) 21 時 38 分 31 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:51 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 51 秒 (日本時間)
4511e61500 / 4077Dmitry DomanovJanuary 17, 2014 11:59:47 UTC 2014 年 1 月 17 日 (金) 20 時 59 分 47 秒 (日本時間)

89×10209-539

c186

name 名前Dmitry Domanov
date 日付December 19, 2013 07:03:14 UTC 2013 年 12 月 19 日 (木) 16 時 3 分 14 秒 (日本時間)
composite number 合成数
751697747647421126291224537021188389077215053038132450009890356486434710097100875119547762883085973121337535890204727799938141000324761399718620527553136090808854894177756854135180910103<186>
prime factors 素因数
9362864591940422819088096813709<31>
composite cofactor 合成数の残り
80285017503562362883262082941467903088976479226544501137017032243471953898645778002711271401036201982942547751176900622238002792941553545600064091031612467<155>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2967176065
Step 1 took 22872ms
Step 2 took 9224ms
********** Factor found in step 2: 9362864591940422819088096813709
Found probable prime factor of 31 digits: 9362864591940422819088096813709

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovDecember 30, 2013 12:38:39 UTC 2013 年 12 月 30 日 (月) 21 時 38 分 39 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:51 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 51 秒 (日本時間)
4511e61500 / 3375Dmitry DomanovJanuary 17, 2014 11:59:33 UTC 2014 年 1 月 17 日 (金) 20 時 59 分 33 秒 (日本時間)
5043e6200 / 7148Dmitry DomanovSeptember 2, 2014 10:24:18 UTC 2014 年 9 月 2 日 (火) 19 時 24 分 18 秒 (日本時間)

89×10210-539

c193

name 名前Dmitry Domanov
date 日付January 21, 2014 05:59:01 UTC 2014 年 1 月 21 日 (火) 14 時 59 分 1 秒 (日本時間)
composite number 合成数
1024419661570982464505305396709097357342631457925297477829906731688050493201261358326684429751538547109687567203466857393497880724694562051488035674160448241171682614597995279766230918019089787<193>
prime factors 素因数
17982180626130369349292148844523239446249089<44>
composite cofactor 合成数の残り
56968600353305977583230645480361911750203251499194668228065948203796029137566960739817116449855077679234522377808363259458149127463171764946494258683<149>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1111871103
Step 1 took 83738ms
Step 2 took 30979ms
********** Factor found in step 2: 17982180626130369349292148844523239446249089
Found probable prime factor of 44 digits: 17982180626130369349292148844523239446249089

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovDecember 30, 2013 12:38:47 UTC 2013 年 12 月 30 日 (月) 21 時 38 分 47 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:52 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 52 秒 (日本時間)
4511e61500 / 3375Dmitry DomanovJanuary 17, 2014 11:59:19 UTC 2014 年 1 月 17 日 (金) 20 時 59 分 19 秒 (日本時間)
5043e6200 / 7148Dmitry DomanovSeptember 2, 2014 10:24:31 UTC 2014 年 9 月 2 日 (火) 19 時 24 分 31 秒 (日本時間)

89×10212-539

c188

composite cofactor 合成数の残り
16056288798901989186072097090311304081211411236997500232890702780432771444186284225074632649428903356000911007429015795323922212242800212852280181811918991330614248490019216798416885907859<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovDecember 30, 2013 12:38:57 UTC 2013 年 12 月 30 日 (月) 21 時 38 分 57 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:53 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 53 秒 (日本時間)
4511e61500 / 4077Dmitry DomanovJanuary 17, 2014 11:59:03 UTC 2014 年 1 月 17 日 (金) 20 時 59 分 3 秒 (日本時間)

89×10213-539

c170

composite cofactor 合成数の残り
37209016179417079141178510927347716437620116850633447168017796460712528128426203478404726196543438604927511023508218923082013161410738910597779307806281923185756045398573<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovDecember 30, 2013 12:39:05 UTC 2013 年 12 月 30 日 (月) 21 時 39 分 5 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:54 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 54 秒 (日本時間)
4511e61661 / 3375161CypJanuary 10, 2014 07:33:54 UTC 2014 年 1 月 10 日 (金) 16 時 33 分 54 秒 (日本時間)
1500Dmitry DomanovMarch 20, 2014 09:07:08 UTC 2014 年 3 月 20 日 (木) 18 時 7 分 8 秒 (日本時間)
5043e6200 / 7112Dmitry DomanovSeptember 2, 2014 10:24:45 UTC 2014 年 9 月 2 日 (火) 19 時 24 分 45 秒 (日本時間)

89×10216-539

c181

name 名前Dmitry Domanov
date 日付January 14, 2014 06:56:17 UTC 2014 年 1 月 14 日 (火) 15 時 56 分 17 秒 (日本時間)
composite number 合成数
4409528403096415543827434453188391874627940549040393531192364712301905476058515262945300890465198264984407779984065159383039614086130823347461882460235998361081633221282053794487289<181>
prime factors 素因数
4408620153773372750635558356983809744567<40>
composite cofactor 合成数の残り
1000206016688070850339631406855477711934350266356991686706915517325434974910158989716194362168261079193652813120442481136491942878232344373967<142>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=479784464
Step 1 took 120512ms
Step 2 took 37360ms
********** Factor found in step 2: 4408620153773372750635558356983809744567
Found probable prime factor of 40 digits: 4408620153773372750635558356983809744567

c142

name 名前Serge Batalov
date 日付May 24, 2014 18:43:30 UTC 2014 年 5 月 25 日 (日) 3 時 43 分 30 秒 (日本時間)
composite number 合成数
1000206016688070850339631406855477711934350266356991686706915517325434974910158989716194362168261079193652813120442481136491942878232344373967<142>
prime factors 素因数
517500535984229733506439116335216131507553387<45>
1932763247840483476962110998421732593368247640607675476136085760635065390993725273975965052087341<97>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=960790627
Step 1 took 36165ms
Step 2 took 22037ms
********** Factor found in step 2: 517500535984229733506439116335216131507553387
Found probable prime factor of 45 digits: 517500535984229733506439116335216131507553387
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 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovDecember 30, 2013 12:39:42 UTC 2013 年 12 月 30 日 (月) 21 時 39 分 42 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:56 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 56 秒 (日本時間)
4511e63300 / 40771500Dmitry DomanovJanuary 13, 2014 11:32:13 UTC 2014 年 1 月 13 日 (月) 20 時 32 分 13 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:32 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 32 秒 (日本時間)

89×10217-539

c172

composite cofactor 合成数の残り
2488272301283198279952720478743450083427038728975107266410253449939461992230028050176313958904981836652037382825678502342071052024578213062370062715209986594157039203824279<172>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovDecember 30, 2013 12:39:50 UTC 2013 年 12 月 30 日 (月) 21 時 39 分 50 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:57 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 57 秒 (日本時間)
4511e61500 / 3375Dmitry DomanovJanuary 13, 2014 11:31:58 UTC 2014 年 1 月 13 日 (月) 20 時 31 分 58 秒 (日本時間)
5043e6200 / 7148Dmitry DomanovSeptember 2, 2014 10:25:03 UTC 2014 年 9 月 2 日 (火) 19 時 25 分 3 秒 (日本時間)

89×10219-539

c190

composite cofactor 合成数の残り
4260044475707491129605477638139740110725998757399985860185417487779037250741267665377234583909578758870234252331234069995845624613212827613965370073514718004121705342308090232735961300905647<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovDecember 30, 2013 12:39:57 UTC 2013 年 12 月 30 日 (月) 21 時 39 分 57 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:58 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 58 秒 (日本時間)
4511e61500 / 4077Dmitry DomanovJanuary 13, 2014 11:31:44 UTC 2014 年 1 月 13 日 (月) 20 時 31 分 44 秒 (日本時間)

89×10220-539

c207

name 名前Dmitry Domanov
date 日付December 23, 2013 14:39:44 UTC 2013 年 12 月 23 日 (月) 23 時 39 分 44 秒 (日本時間)
composite number 合成数
609500136891026146735290052143276849562369234291448455595863023890470656047403832738522429132477093701085790176653520922639618245115188325613927051247501116063823960849007384931717805327031799735320989002653<207>
prime factors 素因数
289892977318344618855936633859699131653<39>
2102500524604659251836973545856911657429370868733786738397643474436986363574123999866171174650223271133710911858414518664073794818669229735777723463788195714748351107001<169>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2717530077
Step 1 took 26748ms
Step 2 took 10318ms
********** Factor found in step 2: 289892977318344618855936633859699131653
Found probable prime factor of 39 digits: 289892977318344618855936633859699131653

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)

89×10221-539

c209

composite cofactor 合成数の残り
40644953984956590453837277029004777235937748858332864983324592125556567823775842170114665394278341930276294245442200766145924594741697476139707989048126368878946430873711944665131326438376570414000662042050123<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovDecember 30, 2013 12:40:07 UTC 2013 年 12 月 30 日 (月) 21 時 40 分 7 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:58 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 58 秒 (日本時間)
4511e61500 / 4077Dmitry DomanovJanuary 10, 2014 08:09:35 UTC 2014 年 1 月 10 日 (金) 17 時 9 分 35 秒 (日本時間)

89×10224-539

c130

name 名前anonymous
date 日付December 25, 2013 12:17:55 UTC 2013 年 12 月 25 日 (水) 21 時 17 分 55 秒 (日本時間)
composite number 合成数
2903560275524447874118349241585151456553336350547975628959950063557272461351207133876358419401448682466613370923688443025837340003<130>
prime factors 素因数
253068316551170657881642545284247848213956581673<48>
11473424706396800896000481655568165648563847062812343760611145136651642149186359211<83>
factorization results 素因数分解の結果
nfs: commencing msieve filtering
2903560275524447874118349241585151456553336350547975628959950063557272461351207133876358419401448682466613370923688443025837340003
read 10M relations
read 20M relations
nfs: commencing msieve linear algebra
linear algebra completed 1280318 of 1280699 dimensions (100.0%, ETA 0h 0m)    
nfs: commencing msieve sqrt
NFS elapsed time = 70236.0829 seconds.


***factors found***

P48 = 253068316551170657881642545284247848213956581673
P83 = 11473424706396800896000481655568165648563847062812343760611145136651642149186359211
software ソフトウェア
yafu 1.34.3
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
351e6418118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 3, 2013 23:23:12 UTC 2013 年 12 月 4 日 (水) 8 時 23 分 12 秒 (日本時間)
403e6110Ignacio SantosDecember 3, 2013 23:23:12 UTC 2013 年 12 月 4 日 (水) 8 時 23 分 12 秒 (日本時間)
4511e6722 / 443732Ignacio SantosDecember 3, 2013 23:23:12 UTC 2013 年 12 月 4 日 (水) 8 時 23 分 12 秒 (日本時間)
230Ignacio SantosDecember 22, 2013 16:16:12 UTC 2013 年 12 月 23 日 (月) 1 時 16 分 12 秒 (日本時間)
230Ignacio SantosDecember 22, 2013 23:04:57 UTC 2013 年 12 月 23 日 (月) 8 時 4 分 57 秒 (日本時間)
230Ignacio SantosDecember 24, 2013 14:24:32 UTC 2013 年 12 月 24 日 (火) 23 時 24 分 32 秒 (日本時間)

89×10225-539

c203

composite cofactor 合成数の残り
73437503300913646436981691397337303284920197499291064611634267868152477824433537538463097199982693613920145160699951364019323945795681570982103245552492649251560273404501322899835713530119170270607591713<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovDecember 30, 2013 12:40:15 UTC 2013 年 12 月 30 日 (月) 21 時 40 分 15 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:12:59 UTC 2014 年 1 月 9 日 (木) 14 時 12 分 59 秒 (日本時間)
4511e61500 / 4077Dmitry DomanovJanuary 10, 2014 08:09:47 UTC 2014 年 1 月 10 日 (金) 17 時 9 分 47 秒 (日本時間)

89×10227-539

c202

name 名前Dmitry Domanov
date 日付December 19, 2013 07:03:44 UTC 2013 年 12 月 19 日 (木) 16 時 3 分 44 秒 (日本時間)
composite number 合成数
8868044456760730462798237074651524601549269819220962377622261175636770965503361284780744359873950699806474047472531379083416589635102154812098202756359020798860128844987565572617756364928159262814960401<202>
prime factors 素因数
284172350201787894911147848580698229<36>
31206570415677747364309442334965475432201837547883932865618304044090177547914945910462424631990063760458972983077113729952265494349085506206147699863854804087530679469<167>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2325832876
Step 1 took 26770ms
Step 2 took 10326ms
********** Factor found in step 2: 284172350201787894911147848580698229
Found probable prime factor of 36 digits: 284172350201787894911147848580698229

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)

89×10228-539

c150

name 名前Dmitry Domanov
date 日付December 23, 2013 14:38:43 UTC 2013 年 12 月 23 日 (月) 23 時 38 分 43 秒 (日本時間)
composite number 合成数
569530079862467359426627360772500242398556588446739652668379769056650756412131171084728845886022352773930826417849029438088773920549067915466647224551<150>
prime factors 素因数
719697820521414913790560337307829211366587<42>
791346122807274432239600488362466964954390916407299814353912422887273862608221127491292641167782820386015173<108>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4065179560
Step 1 took 16377ms
Step 2 took 7275ms
********** Factor found in step 2: 719697820521414913790560337307829211366587
Found probable prime factor of 42 digits: 719697820521414913790560337307829211366587

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6210 / 2111Serge BatalovDecember 4, 2013 17:31:40 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 40 秒 (日本時間)
4511e660 / 4429Serge BatalovDecember 4, 2013 17:31:40 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 40 秒 (日本時間)

89×10229-539

c202

composite cofactor 合成数の残り
2412685050299149147546506193911472862852213809313243531635542728644045235025165880754079477482788300741762012979362520388835276520145524765121734942514577855330810494525034288203575070425523399705103841<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovDecember 30, 2013 12:40:25 UTC 2013 年 12 月 30 日 (月) 21 時 40 分 25 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:13:00 UTC 2014 年 1 月 9 日 (木) 14 時 13 分 0 秒 (日本時間)
4511e61500 / 4077Dmitry DomanovJanuary 10, 2014 08:10:01 UTC 2014 年 1 月 10 日 (金) 17 時 10 分 1 秒 (日本時間)

89×10230-539

c227

composite cofactor 合成数の残り
63852837146567371917665712461347510098075088066693929675785425769283198094459152120416406591908625872595653702388383088324975068695608503189054619286426608696899908884153734673525465802859746167036152184986691346864395227538509<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61710210Serge BatalovDecember 4, 2013 17:32:23 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 23 秒 (日本時間)
1500Dmitry DomanovDecember 30, 2013 12:40:32 UTC 2013 年 12 月 30 日 (月) 21 時 40 分 32 秒 (日本時間)
4511e6286060Serge BatalovDecember 4, 2013 17:32:23 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 23 秒 (日本時間)
500Serge BatalovJanuary 4, 2014 22:39:40 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 40 秒 (日本時間)
1500Dmitry DomanovJanuary 10, 2014 08:10:19 UTC 2014 年 1 月 10 日 (金) 17 時 10 分 19 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:57 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 57 秒 (日本時間)
5043e6500 / 6846Serge BatalovJanuary 4, 2014 23:01:36 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 36 秒 (日本時間)

89×10231-539

c232

name 名前Alfred Reich
date 日付April 11, 2018 14:43:57 UTC 2018 年 4 月 11 日 (水) 23 時 43 分 57 秒 (日本時間)
composite number 合成数
9888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<232>
prime factors 素因数
131620463395982922779071123036879471286875895955571394068667<60>
75131849818352024821699877028649881673581770978234825997297983540642594064816970021518920069755142350604683681436587218688143277052833066405939897024730969129226566182972649<173>
factorization results 素因数分解の結果
Sun Apr 08 22:46:24 2018  
Sun Apr 08 22:46:25 2018  
Sun Apr 08 22:46:25 2018  Msieve v. 1.53 (SVN unknown)
Sun Apr 08 22:46:25 2018  random seeds: 636bcd18 6139b63b
Sun Apr 08 22:46:25 2018  factoring 9888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883 (232 digits)
Sun Apr 08 22:46:26 2018  no P-1/P+1/ECM available, skipping
Sun Apr 08 22:46:26 2018  commencing number field sieve (232-digit input)
Sun Apr 08 22:46:26 2018  R0: -100000000000000000000000000000000000000
Sun Apr 08 22:46:26 2018  R1: 1
Sun Apr 08 22:46:26 2018  A0: -53
Sun Apr 08 22:46:26 2018  A1: 0
Sun Apr 08 22:46:26 2018  A2: 0
Sun Apr 08 22:46:26 2018  A3: 0
Sun Apr 08 22:46:26 2018  A4: 0
Sun Apr 08 22:46:26 2018  A5: 0
Sun Apr 08 22:46:26 2018  A6: 89000
Sun Apr 08 22:46:26 2018  skew 0.29, size 5.371e-012, alpha 0.205, combined = 4.191e-013 rroots = 2
Sun Apr 08 22:46:26 2018  
Sun Apr 08 22:46:26 2018  commencing relation filtering
Sun Apr 08 22:46:26 2018  setting target matrix density to 100.0
Sun Apr 08 22:46:26 2018  estimated available RAM is 130995.6 MB
Sun Apr 08 22:46:26 2018  commencing duplicate removal, pass 1
Sun Apr 08 23:11:58 2018  found 3077362 hash collisions in 83362949 relations
Sun Apr 08 23:12:29 2018  commencing duplicate removal, pass 2
Sun Apr 08 23:13:14 2018  found 0 duplicates and 83362949 unique relations
Sun Apr 08 23:13:14 2018  memory use: 253.2 MB
Sun Apr 08 23:13:14 2018  reading ideals above 720000
Sun Apr 08 23:13:15 2018  commencing singleton removal, initial pass
Sun Apr 08 23:39:00 2018  memory use: 2756.0 MB
Sun Apr 08 23:39:01 2018  reading all ideals from disk
Sun Apr 08 23:39:03 2018  memory use: 3196.8 MB
Sun Apr 08 23:39:13 2018  keeping 86654533 ideals with weight <= 200, target excess is 450012
Sun Apr 08 23:39:24 2018  commencing in-memory singleton removal
Sun Apr 08 23:39:32 2018  begin with 83362949 relations and 86654533 unique ideals
Sun Apr 08 23:40:55 2018  reduce to 43456033 relations and 41424241 ideals in 18 passes
Sun Apr 08 23:40:55 2018  max relations containing the same ideal: 142
Sun Apr 08 23:41:14 2018  removing 3450558 relations and 3050558 ideals in 400000 cliques
Sun Apr 08 23:41:15 2018  commencing in-memory singleton removal
Sun Apr 08 23:41:18 2018  begin with 40005475 relations and 41424241 unique ideals
Sun Apr 08 23:42:04 2018  reduce to 39783251 relations and 38148547 ideals in 12 passes
Sun Apr 08 23:42:05 2018  max relations containing the same ideal: 134
Sun Apr 08 23:42:22 2018  removing 2558311 relations and 2158311 ideals in 400000 cliques
Sun Apr 08 23:42:23 2018  commencing in-memory singleton removal
Sun Apr 08 23:42:26 2018  begin with 37224940 relations and 38148547 unique ideals
Sun Apr 08 23:42:59 2018  reduce to 37091929 relations and 35855699 ideals in 8 passes
Sun Apr 08 23:42:59 2018  max relations containing the same ideal: 129
Sun Apr 08 23:43:15 2018  removing 2274080 relations and 1874080 ideals in 400000 cliques
Sun Apr 08 23:43:15 2018  commencing in-memory singleton removal
Sun Apr 08 23:43:18 2018  begin with 34817849 relations and 35855699 unique ideals
Sun Apr 08 23:43:38 2018  reduce to 34704732 relations and 33867321 ideals in 7 passes
Sun Apr 08 23:43:38 2018  max relations containing the same ideal: 125
Sun Apr 08 23:43:53 2018  removing 1738388 relations and 1422991 ideals in 315397 cliques
Sun Apr 08 23:43:54 2018  commencing in-memory singleton removal
Sun Apr 08 23:43:56 2018  begin with 32966344 relations and 33867321 unique ideals
Sun Apr 08 23:44:26 2018  reduce to 32897545 relations and 32374886 ideals in 8 passes
Sun Apr 08 23:44:26 2018  max relations containing the same ideal: 120
Sun Apr 08 23:44:44 2018  relations with 0 large ideals: 16510
Sun Apr 08 23:44:44 2018  relations with 1 large ideals: 6533
Sun Apr 08 23:44:44 2018  relations with 2 large ideals: 69624
Sun Apr 08 23:44:44 2018  relations with 3 large ideals: 519488
Sun Apr 08 23:44:45 2018  relations with 4 large ideals: 2165412
Sun Apr 08 23:44:45 2018  relations with 5 large ideals: 5417166
Sun Apr 08 23:44:45 2018  relations with 6 large ideals: 8435411
Sun Apr 08 23:44:45 2018  relations with 7+ large ideals: 16267401
Sun Apr 08 23:44:45 2018  commencing 2-way merge
Sun Apr 08 23:45:13 2018  reduce to 21282384 relation sets and 20759725 unique ideals
Sun Apr 08 23:45:13 2018  commencing full merge
Sun Apr 08 23:52:38 2018  memory use: 2569.5 MB
Sun Apr 08 23:52:41 2018  found 9918998 cycles, need 9883925
Sun Apr 08 23:52:42 2018  weight of 9883925 cycles is about 988570220 (100.02/cycle)
Sun Apr 08 23:52:42 2018  distribution of cycle lengths:
Sun Apr 08 23:52:42 2018  1 relations: 701253
Sun Apr 08 23:52:42 2018  2 relations: 888408
Sun Apr 08 23:52:42 2018  3 relations: 961818
Sun Apr 08 23:52:42 2018  4 relations: 918710
Sun Apr 08 23:52:42 2018  5 relations: 860157
Sun Apr 08 23:52:42 2018  6 relations: 769581
Sun Apr 08 23:52:42 2018  7 relations: 694305
Sun Apr 08 23:52:42 2018  8 relations: 613267
Sun Apr 08 23:52:42 2018  9 relations: 536099
Sun Apr 08 23:52:42 2018  10+ relations: 2940327
Sun Apr 08 23:52:42 2018  heaviest cycle: 28 relations
Sun Apr 08 23:52:43 2018  commencing cycle optimization
Sun Apr 08 23:52:57 2018  start with 74155285 relations
Sun Apr 08 23:55:32 2018  pruned 2574311 relations
Sun Apr 08 23:55:33 2018  memory use: 2125.1 MB
Sun Apr 08 23:55:33 2018  distribution of cycle lengths:
Sun Apr 08 23:55:33 2018  1 relations: 701253
Sun Apr 08 23:55:33 2018  2 relations: 911138
Sun Apr 08 23:55:33 2018  3 relations: 1003635
Sun Apr 08 23:55:33 2018  4 relations: 950857
Sun Apr 08 23:55:33 2018  5 relations: 891351
Sun Apr 08 23:55:33 2018  6 relations: 790604
Sun Apr 08 23:55:33 2018  7 relations: 710906
Sun Apr 08 23:55:33 2018  8 relations: 620499
Sun Apr 08 23:55:33 2018  9 relations: 542008
Sun Apr 08 23:55:33 2018  10+ relations: 2761674
Sun Apr 08 23:55:33 2018  heaviest cycle: 28 relations
Sun Apr 08 23:55:57 2018  RelProcTime: 4171
Sun Apr 08 23:55:57 2018  
Sun Apr 08 23:55:57 2018  commencing linear algebra
Sun Apr 08 23:55:59 2018  read 9883925 cycles
Sun Apr 08 23:56:15 2018  cycles contain 32510417 unique relations
Mon Apr 09 13:12:27 2018  read 32510417 relations
Mon Apr 09 13:13:25 2018  using 20 quadratic characters above 1073741568
Mon Apr 09 13:15:25 2018  building initial matrix
Mon Apr 09 13:20:48 2018  memory use: 4123.7 MB
Mon Apr 09 13:21:20 2018  read 9883925 cycles
Mon Apr 09 13:21:22 2018  matrix is 9883748 x 9883925 (3990.2 MB) with weight 1146049675 (115.95/col)
Mon Apr 09 13:21:22 2018  sparse part has weight 937294025 (94.83/col)
Mon Apr 09 13:23:09 2018  filtering completed in 2 passes
Mon Apr 09 13:23:12 2018  matrix is 9882415 x 9882592 (3990.1 MB) with weight 1146006355 (115.96/col)
Mon Apr 09 13:23:12 2018  sparse part has weight 937279540 (94.84/col)
Mon Apr 09 13:25:57 2018  matrix starts at (0, 0)
Mon Apr 09 13:26:00 2018  matrix is 9882415 x 9882592 (3990.1 MB) with weight 1146006355 (115.96/col)
Mon Apr 09 13:26:00 2018  sparse part has weight 937279540 (94.84/col)
Mon Apr 09 13:26:00 2018  saving the first 48 matrix rows for later
Mon Apr 09 13:26:02 2018  matrix includes 64 packed rows
Mon Apr 09 13:26:04 2018  matrix is 9882367 x 9882592 (3808.5 MB) with weight 964014416 (97.55/col)
Mon Apr 09 13:26:04 2018  sparse part has weight 899548343 (91.02/col)
Mon Apr 09 13:26:04 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Mon Apr 09 13:26:46 2018  commencing Lanczos iteration (32 threads)
Mon Apr 09 13:26:47 2018  memory use: 3218.2 MB
Mon Apr 09 13:27:00 2018  linear algebra at 0.0%, ETA 23h28m
Mon Apr 09 13:27:04 2018  checkpointing every 430000 dimensions
Mon Apr 09 18:29:11 2018  lanczos halted after 33836 iterations (dim = 2139565)
Mon Apr 09 18:29:16 2018  BLanczosTime: 66799
Tue Apr 10 13:18:20 2018  
Tue Apr 10 13:18:20 2018  
Tue Apr 10 13:18:20 2018  Msieve v. 1.54 (SVN 1018)
Tue Apr 10 13:18:20 2018  random seeds: e57e452c a5887599
Tue Apr 10 13:18:20 2018  factoring 9888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883 (232 digits)
Tue Apr 10 13:18:21 2018  searching for 15-digit factors
Tue Apr 10 13:18:22 2018  commencing number field sieve (232-digit input)
Tue Apr 10 13:18:22 2018  R0: -100000000000000000000000000000000000000
Tue Apr 10 13:18:22 2018  R1: 1
Tue Apr 10 13:18:22 2018  A0: -53
Tue Apr 10 13:18:22 2018  A1: 0
Tue Apr 10 13:18:22 2018  A2: 0
Tue Apr 10 13:18:22 2018  A3: 0
Tue Apr 10 13:18:22 2018  A4: 0
Tue Apr 10 13:18:22 2018  A5: 0
Tue Apr 10 13:18:22 2018  A6: 89000
Tue Apr 10 13:18:22 2018  skew 0.29, size 5.371e-012, alpha 0.205, combined = 4.191e-013 rroots = 2
Tue Apr 10 13:18:22 2018  
Tue Apr 10 13:18:22 2018  commencing linear algebra
Tue Apr 10 13:20:28 2018  matrix starts at (0, 0)
Tue Apr 10 13:20:30 2018  matrix is 9882415 x 9882592 (3990.1 MB) with weight 1146006355 (115.96/col)
Tue Apr 10 13:20:30 2018  sparse part has weight 937279540 (94.84/col)
Tue Apr 10 13:20:30 2018  saving the first 48 matrix rows for later
Tue Apr 10 13:20:32 2018  matrix includes 64 packed rows
Tue Apr 10 13:20:34 2018  matrix is 9882367 x 9882592 (3808.5 MB) with weight 964014416 (97.55/col)
Tue Apr 10 13:20:34 2018  sparse part has weight 899548343 (91.02/col)
Tue Apr 10 13:20:34 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Tue Apr 10 13:21:19 2018  commencing Lanczos iteration (32 threads)
Tue Apr 10 13:21:19 2018  memory use: 3218.2 MB
Tue Apr 10 13:21:19 2018  restarting at iteration 103738 (dim = 6560032)
Tue Apr 10 13:21:33 2018  linear algebra at 66.4%, ETA 8h32m
Tue Apr 10 13:21:37 2018  checkpointing every 410000 dimensions
Tue Apr 10 13:22:59 2018  lanczos halted after 103894 iterations (dim = 6569884)
Tue Apr 10 13:23:03 2018  BLanczosTime: 281
Tue Apr 10 13:23:03 2018  elapsed time 00:04:43
Tue Apr 10 13:23:12 2018  
Tue Apr 10 13:23:12 2018  
Tue Apr 10 13:23:12 2018  Msieve v. 1.54 (SVN 1018)
Tue Apr 10 13:23:12 2018  random seeds: 05126500 d26e8516
Tue Apr 10 13:23:12 2018  factoring 9888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883 (232 digits)
Tue Apr 10 13:23:13 2018  searching for 15-digit factors
Tue Apr 10 13:23:14 2018  commencing number field sieve (232-digit input)
Tue Apr 10 13:23:14 2018  R0: -100000000000000000000000000000000000000
Tue Apr 10 13:23:14 2018  R1: 1
Tue Apr 10 13:23:14 2018  A0: -53
Tue Apr 10 13:23:14 2018  A1: 0
Tue Apr 10 13:23:14 2018  A2: 0
Tue Apr 10 13:23:14 2018  A3: 0
Tue Apr 10 13:23:14 2018  A4: 0
Tue Apr 10 13:23:14 2018  A5: 0
Tue Apr 10 13:23:14 2018  A6: 89000
Tue Apr 10 13:23:14 2018  skew 0.29, size 5.371e-012, alpha 0.205, combined = 4.191e-013 rroots = 2
Tue Apr 10 13:23:14 2018  
Tue Apr 10 13:23:14 2018  commencing linear algebra
Tue Apr 10 13:23:17 2018  matrix starts at (0, 0)
Tue Apr 10 13:23:18 2018  matrix is 9882415 x 9882592 (3990.1 MB) with weight 1146006355 (115.96/col)
Tue Apr 10 13:23:18 2018  sparse part has weight 937279540 (94.84/col)
Tue Apr 10 13:23:18 2018  saving the first 48 matrix rows for later
Tue Apr 10 13:23:21 2018  matrix includes 64 packed rows
Tue Apr 10 13:23:23 2018  matrix is 9882367 x 9882592 (3808.5 MB) with weight 964014416 (97.55/col)
Tue Apr 10 13:23:23 2018  sparse part has weight 899548343 (91.02/col)
Tue Apr 10 13:23:23 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Tue Apr 10 13:24:07 2018  commencing Lanczos iteration (32 threads)
Tue Apr 10 13:24:08 2018  memory use: 3218.2 MB
Tue Apr 10 13:24:08 2018  restarting at iteration 103894 (dim = 6569884)
Tue Apr 10 13:24:21 2018  linear algebra at 66.5%, ETA 7h52m
Tue Apr 10 13:24:26 2018  checkpointing every 430000 dimensions
Tue Apr 10 17:36:58 2018  
Tue Apr 10 17:36:58 2018  
Tue Apr 10 17:36:58 2018  Msieve v. 1.54 (SVN 1018)
Tue Apr 10 17:36:58 2018  random seeds: 5ec9d800 caa5eb2a
Tue Apr 10 17:36:58 2018  factoring 9888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883 (232 digits)
Tue Apr 10 17:36:59 2018  searching for 15-digit factors
Tue Apr 10 17:37:00 2018  commencing number field sieve (232-digit input)
Tue Apr 10 17:37:00 2018  R0: -100000000000000000000000000000000000000
Tue Apr 10 17:37:00 2018  R1: 1
Tue Apr 10 17:37:00 2018  A0: -53
Tue Apr 10 17:37:00 2018  A1: 0
Tue Apr 10 17:37:00 2018  A2: 0
Tue Apr 10 17:37:00 2018  A3: 0
Tue Apr 10 17:37:00 2018  A4: 0
Tue Apr 10 17:37:00 2018  A5: 0
Tue Apr 10 17:37:00 2018  A6: 89000
Tue Apr 10 17:37:00 2018  skew 0.29, size 5.371e-012, alpha 0.205, combined = 4.191e-013 rroots = 2
Tue Apr 10 17:37:00 2018  
Tue Apr 10 17:37:00 2018  commencing linear algebra
Tue Apr 10 17:39:08 2018  matrix starts at (0, 0)
Tue Apr 10 17:39:09 2018  matrix is 9882415 x 9882592 (3990.1 MB) with weight 1146006355 (115.96/col)
Tue Apr 10 17:39:09 2018  sparse part has weight 937279540 (94.84/col)
Tue Apr 10 17:39:09 2018  saving the first 48 matrix rows for later
Tue Apr 10 17:39:12 2018  matrix includes 64 packed rows
Tue Apr 10 17:39:14 2018  matrix is 9882367 x 9882592 (3808.5 MB) with weight 964014416 (97.55/col)
Tue Apr 10 17:39:14 2018  sparse part has weight 899548343 (91.02/col)
Tue Apr 10 17:39:14 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Tue Apr 10 17:40:01 2018  commencing Lanczos iteration (32 threads)
Tue Apr 10 17:40:01 2018  memory use: 3218.2 MB
Tue Apr 10 17:40:14 2018  restarting at iteration 122396 (dim = 7740022)
Tue Apr 10 17:40:26 2018  linear algebra at 78.3%, ETA 4h41m
Tue Apr 10 17:40:31 2018  checkpointing every 430000 dimensions
Tue Apr 10 17:43:07 2018  lanczos halted after 122698 iterations (dim = 7759104)
Tue Apr 10 17:43:11 2018  BLanczosTime: 371
Tue Apr 10 17:43:11 2018  elapsed time 00:06:13
Tue Apr 10 18:06:22 2018  
Tue Apr 10 18:06:22 2018  
Tue Apr 10 18:06:22 2018  Msieve v. 1.54 (SVN 1018)
Tue Apr 10 18:06:22 2018  random seeds: 1dc402e4 e58455fa
Tue Apr 10 18:06:22 2018  factoring 9888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883 (232 digits)
Tue Apr 10 18:06:23 2018  searching for 15-digit factors
Tue Apr 10 18:06:23 2018  commencing number field sieve (232-digit input)
Tue Apr 10 18:06:23 2018  R0: -100000000000000000000000000000000000000
Tue Apr 10 18:06:23 2018  R1: 1
Tue Apr 10 18:06:23 2018  A0: -53
Tue Apr 10 18:06:23 2018  A1: 0
Tue Apr 10 18:06:23 2018  A2: 0
Tue Apr 10 18:06:23 2018  A3: 0
Tue Apr 10 18:06:23 2018  A4: 0
Tue Apr 10 18:06:23 2018  A5: 0
Tue Apr 10 18:06:23 2018  A6: 89000
Tue Apr 10 18:06:23 2018  skew 0.29, size 5.371e-012, alpha 0.205, combined = 4.191e-013 rroots = 2
Tue Apr 10 18:06:23 2018  
Tue Apr 10 18:06:23 2018  commencing linear algebra
Tue Apr 10 18:06:27 2018  matrix starts at (0, 0)
Tue Apr 10 18:06:28 2018  matrix is 9882415 x 9882592 (3990.1 MB) with weight 1146006355 (115.96/col)
Tue Apr 10 18:06:28 2018  sparse part has weight 937279540 (94.84/col)
Tue Apr 10 18:06:28 2018  saving the first 48 matrix rows for later
Tue Apr 10 18:06:31 2018  matrix includes 64 packed rows
Tue Apr 10 18:06:32 2018  matrix is 9882367 x 9882592 (3808.5 MB) with weight 964014416 (97.55/col)
Tue Apr 10 18:06:32 2018  sparse part has weight 899548343 (91.02/col)
Tue Apr 10 18:06:32 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Tue Apr 10 18:07:17 2018  commencing Lanczos iteration (32 threads)
Tue Apr 10 18:07:17 2018  memory use: 3218.2 MB
Tue Apr 10 18:07:17 2018  restarting at iteration 122698 (dim = 7759104)
Tue Apr 10 18:07:25 2018  checkpointing every 430000 dimensions
Tue Apr 10 18:07:30 2018  linear algebra at 78.5%, ETA 5h 1m
Tue Apr 10 18:51:06 2018  lanczos halted after 127154 iterations (dim = 8040830)
Tue Apr 10 18:51:10 2018  BLanczosTime: 2687
Tue Apr 10 18:51:10 2018  elapsed time 00:44:48
Tue Apr 10 19:53:54 2018  
Tue Apr 10 19:53:54 2018  
Tue Apr 10 19:53:54 2018  Msieve v. 1.54 (SVN 1018)
Tue Apr 10 19:53:54 2018  random seeds: f1f07ce0 d2fdabb5
Tue Apr 10 19:53:54 2018  factoring 9888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883 (232 digits)
Tue Apr 10 19:53:55 2018  searching for 15-digit factors
Tue Apr 10 19:53:56 2018  commencing number field sieve (232-digit input)
Tue Apr 10 19:53:56 2018  R0: -100000000000000000000000000000000000000
Tue Apr 10 19:53:56 2018  R1: 1
Tue Apr 10 19:53:56 2018  A0: -53
Tue Apr 10 19:53:56 2018  A1: 0
Tue Apr 10 19:53:56 2018  A2: 0
Tue Apr 10 19:53:56 2018  A3: 0
Tue Apr 10 19:53:56 2018  A4: 0
Tue Apr 10 19:53:56 2018  A5: 0
Tue Apr 10 19:53:56 2018  A6: 89000
Tue Apr 10 19:53:56 2018  skew 0.29, size 5.371e-012, alpha 0.205, combined = 4.191e-013 rroots = 2
Tue Apr 10 19:53:56 2018  
Tue Apr 10 19:53:56 2018  commencing linear algebra
Tue Apr 10 19:53:59 2018  matrix starts at (0, 0)
Tue Apr 10 19:54:00 2018  matrix is 9882415 x 9882592 (3990.1 MB) with weight 1146006355 (115.96/col)
Tue Apr 10 19:54:00 2018  sparse part has weight 937279540 (94.84/col)
Tue Apr 10 19:54:00 2018  saving the first 48 matrix rows for later
Tue Apr 10 19:54:03 2018  matrix includes 64 packed rows
Tue Apr 10 19:54:04 2018  matrix is 9882367 x 9882592 (3808.5 MB) with weight 964014416 (97.55/col)
Tue Apr 10 19:54:04 2018  sparse part has weight 899548343 (91.02/col)
Tue Apr 10 19:54:04 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Tue Apr 10 19:54:51 2018  commencing Lanczos iteration (32 threads)
Tue Apr 10 19:54:51 2018  memory use: 3218.2 MB
Tue Apr 10 19:54:51 2018  restarting at iteration 127154 (dim = 8040830)
Tue Apr 10 19:55:02 2018  checkpointing every 400000 dimensions
Tue Apr 10 19:55:05 2018  linear algebra at 81.4%, ETA 4h42m
Wed Apr 11 07:45:18 2018  lanczos halted after 156276 iterations (dim = 9882363)
Wed Apr 11 07:45:41 2018  recovered 32 nontrivial dependencies
Wed Apr 11 07:45:50 2018  BLanczosTime: 42714
Wed Apr 11 07:45:50 2018  elapsed time 11:51:56
Wed Apr 11 08:00:02 2018  
Wed Apr 11 08:00:02 2018  
Wed Apr 11 08:00:02 2018  Msieve v. 1.54 (SVN 1018)
Wed Apr 11 08:00:02 2018  random seeds: 56895e0c 5820c2ef
Wed Apr 11 08:00:02 2018  factoring 9888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883 (232 digits)
Wed Apr 11 08:00:03 2018  searching for 15-digit factors
Wed Apr 11 08:00:03 2018  commencing number field sieve (232-digit input)
Wed Apr 11 08:00:03 2018  R0: -100000000000000000000000000000000000000
Wed Apr 11 08:00:03 2018  R1: 1
Wed Apr 11 08:00:03 2018  A0: -53
Wed Apr 11 08:00:03 2018  A1: 0
Wed Apr 11 08:00:03 2018  A2: 0
Wed Apr 11 08:00:03 2018  A3: 0
Wed Apr 11 08:00:03 2018  A4: 0
Wed Apr 11 08:00:03 2018  A5: 0
Wed Apr 11 08:00:03 2018  A6: 89000
Wed Apr 11 08:00:03 2018  skew 0.29, size 5.371e-012, alpha 0.205, combined = 4.191e-013 rroots = 2
Wed Apr 11 08:00:03 2018  
Wed Apr 11 08:00:03 2018  commencing square root phase
Wed Apr 11 08:00:03 2018  reading relations for dependency 1
Wed Apr 11 08:00:06 2018  read 4938530 cycles
Wed Apr 11 08:00:15 2018  cycles contain 16253070 unique relations
Wed Apr 11 08:02:10 2018  read 16253070 relations
Wed Apr 11 08:03:21 2018  multiplying 16253070 relations
Wed Apr 11 08:22:48 2018  multiply complete, coefficients have about 656.16 million bits
Wed Apr 11 08:22:49 2018  initial square root is modulo 770611
Wed Apr 11 08:43:35 2018  Newton iteration failed to converge
Wed Apr 11 08:43:35 2018  algebraic square root failed
Wed Apr 11 08:43:35 2018  reading relations for dependency 2
Wed Apr 11 08:43:37 2018  read 4942307 cycles
Wed Apr 11 08:43:47 2018  cycles contain 16258562 unique relations
Wed Apr 11 08:45:41 2018  read 16258562 relations
Wed Apr 11 08:47:14 2018  multiplying 16258562 relations
Wed Apr 11 09:06:56 2018  multiply complete, coefficients have about 656.38 million bits
Wed Apr 11 09:06:58 2018  initial square root is modulo 774199
Wed Apr 11 09:27:17 2018  Newton iteration failed to converge
Wed Apr 11 09:27:17 2018  algebraic square root failed
Wed Apr 11 09:27:17 2018  reading relations for dependency 3
Wed Apr 11 09:27:20 2018  read 4939874 cycles
Wed Apr 11 09:27:30 2018  cycles contain 16251486 unique relations
Wed Apr 11 09:29:19 2018  read 16251486 relations
Wed Apr 11 09:30:40 2018  multiplying 16251486 relations
Wed Apr 11 09:50:17 2018  multiply complete, coefficients have about 656.10 million bits
Wed Apr 11 09:50:19 2018  initial square root is modulo 769591
Wed Apr 11 10:09:15 2018  sqrtTime: 7752
Wed Apr 11 10:09:15 2018  p60 factor: 131620463395982922779071123036879471286875895955571394068667
Wed Apr 11 10:09:15 2018  p173 factor: 75131849818352024821699877028649881673581770978234825997297983540642594064816970021518920069755142350604683681436587218688143277052833066405939897024730969129226566182972649
Wed Apr 11 10:09:15 2018  elapsed time 02:09:13

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61710210Serge BatalovDecember 4, 2013 17:32:25 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 25 秒 (日本時間)
1500Dmitry DomanovDecember 30, 2013 12:40:41 UTC 2013 年 12 月 30 日 (月) 21 時 40 分 41 秒 (日本時間)
4511e6286060Serge BatalovDecember 4, 2013 17:32:25 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 25 秒 (日本時間)
500Serge BatalovJanuary 4, 2014 22:39:41 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 41 秒 (日本時間)
1500Dmitry DomanovJanuary 10, 2014 08:10:37 UTC 2014 年 1 月 10 日 (金) 17 時 10 分 37 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:57 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 57 秒 (日本時間)
5043e66893500Serge BatalovJanuary 4, 2014 23:01:38 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 38 秒 (日本時間)
760Serge BatalovFebruary 24, 2014 02:26:34 UTC 2014 年 2 月 24 日 (月) 11 時 26 分 34 秒 (日本時間)
5633Ben MeekinsOctober 13, 2017 01:15:34 UTC 2017 年 10 月 13 日 (金) 10 時 15 分 34 秒 (日本時間)

89×10234-539

c219

composite cofactor 合成数の残り
603371158001635140230462320503747927605278498769842779195224566764062461742300238015154092189254401442699092658492119628347049298597921398359430971627680577163668710852767945186599543551828285893600914954599935586346273<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovDecember 30, 2013 12:40:52 UTC 2013 年 12 月 30 日 (月) 21 時 40 分 52 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:13:04 UTC 2014 年 1 月 9 日 (木) 14 時 13 分 4 秒 (日本時間)
4511e61500 / 4077Dmitry DomanovJanuary 10, 2014 08:10:50 UTC 2014 年 1 月 10 日 (金) 17 時 10 分 50 秒 (日本時間)

89×10235-539

c233

name 名前Serge Batalov
date 日付December 4, 2013 06:14:01 UTC 2013 年 12 月 4 日 (水) 15 時 14 分 1 秒 (日本時間)
composite number 合成数
37330648882177760999958055450694182291011283083763264963717964850467681724759867455224193616039595654544691917285348768927477874250241181158508451826685122268361226458621702109810830082630762132460886707772324986368021475609244578667<233>
prime factors 素因数
118043986493452068792054797<27>
composite cofactor 合成数の残り
316243546080583291590634002105217625052612767352308549277970898664266212217973820540973592911113009342725583324861931227537731303548722337609788084439239151371708851259449235200851949411007808690496579194711<207>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1708097006
Step 1 took 89813ms
Step 2 took 41767ms
********** Factor found in step 2: 118043986493452068792054797
Found probable prime factor of 27 digits: 118043986493452068792054797
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62010210Serge BatalovDecember 4, 2013 17:32:28 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 28 秒 (日本時間)
1500Dmitry DomanovDecember 30, 2013 12:41:00 UTC 2013 年 12 月 30 日 (月) 21 時 41 分 0 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:13:05 UTC 2014 年 1 月 9 日 (木) 14 時 13 分 5 秒 (日本時間)
4511e61560 / 403160Serge BatalovDecember 4, 2013 17:32:28 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 28 秒 (日本時間)
1500Dmitry DomanovJanuary 10, 2014 08:11:03 UTC 2014 年 1 月 10 日 (金) 17 時 11 分 3 秒 (日本時間)

89×10236-539

c218

composite cofactor 合成数の残り
14331904802358406237690093555756892403264702996453605680251781308282592521995951890877015849510329750838073796670676511749492636683068102936260406391802738335973084413402434963329355168674896349230256051678280217074853<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovDecember 30, 2013 12:41:08 UTC 2013 年 12 月 30 日 (月) 21 時 41 分 8 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:13:06 UTC 2014 年 1 月 9 日 (木) 14 時 13 分 6 秒 (日本時間)
4511e61661 / 4077161CypJanuary 10, 2014 01:04:25 UTC 2014 年 1 月 10 日 (金) 10 時 4 分 25 秒 (日本時間)
1500Dmitry DomanovJanuary 10, 2014 08:11:15 UTC 2014 年 1 月 10 日 (金) 17 時 11 分 15 秒 (日本時間)

89×10237-539

c215

name 名前Dmitry Domanov
date 日付December 23, 2013 14:39:13 UTC 2013 年 12 月 23 日 (月) 23 時 39 分 13 秒 (日本時間)
composite number 合成数
24583386288687925593986433455892691836280652301278367879959551587102526160592458850538466153541580024555194515965439731403071637146264580115204194752244825119919014149946511188872709820661420577364707911794484376639<215>
prime factors 素因数
392861300319044773545063007452584057<36>
composite cofactor 合成数の残り
62575230160679164524075934028273597623124589040086293257183065622307827987167832016664331766750793862543860655384216530152065611979440462422383856700027758435193577865874242270327<179>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1460566102
Step 1 took 30444ms
Step 2 took 11087ms
********** Factor found in step 2: 392861300319044773545063007452584057
Found probable prime factor of 36 digits: 392861300319044773545063007452584057

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovDecember 30, 2013 12:41:19 UTC 2013 年 12 月 30 日 (月) 21 時 41 分 19 秒 (日本時間)
4511e61747 / 4143247CypJanuary 9, 2014 01:26:15 UTC 2014 年 1 月 9 日 (木) 10 時 26 分 15 秒 (日本時間)
1500Dmitry DomanovMarch 20, 2014 09:08:25 UTC 2014 年 3 月 20 日 (木) 18 時 8 分 25 秒 (日本時間)

89×10238-539

c233

name 名前Dmitry Domanov
date 日付December 19, 2013 07:04:56 UTC 2013 年 12 月 19 日 (木) 16 時 4 分 56 秒 (日本時間)
composite number 合成数
28128971143057404877380283809940822649776262479583976941576158541455324066765282414712248368574983477390012009174342952272057593467909284510541837625229626431144371565124715482568144723999009228104053299406633576250703342799522262611<233>
prime factors 素因数
4723052342713469649311527023929<31>
composite cofactor 合成数の残り
5955676351216734104037317839368571849404853631517061747909209077528545403243107780143488746242262330690047716906465995284872099728829023114642850074661550708901911619244747950728562987451416723557985259<202>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2328822515
Step 1 took 35355ms
Step 2 took 12272ms
********** Factor found in step 2: 4723052342713469649311527023929
Found probable prime factor of 31 digits: 4723052342713469649311527023929

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovDecember 30, 2013 12:41:27 UTC 2013 年 12 月 30 日 (月) 21 時 41 分 27 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:13:08 UTC 2014 年 1 月 9 日 (木) 14 時 13 分 8 秒 (日本時間)
4511e61500 / 4077Dmitry DomanovJanuary 10, 2014 08:11:30 UTC 2014 年 1 月 10 日 (金) 17 時 11 分 30 秒 (日本時間)

89×10240-539

c241

composite cofactor 合成数の残り
9888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61710210Serge BatalovDecember 4, 2013 17:32:34 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 34 秒 (日本時間)
1500Dmitry DomanovDecember 30, 2013 12:41:36 UTC 2013 年 12 月 30 日 (月) 21 時 41 分 36 秒 (日本時間)
4511e6286060Serge BatalovDecember 4, 2013 17:32:34 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 34 秒 (日本時間)
500Serge BatalovJanuary 4, 2014 22:39:50 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 50 秒 (日本時間)
1500Dmitry DomanovJanuary 10, 2014 08:11:45 UTC 2014 年 1 月 10 日 (金) 17 時 11 分 45 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:58 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 58 秒 (日本時間)
5043e61760 / 6846500Serge BatalovJanuary 4, 2014 23:01:46 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 46 秒 (日本時間)
760Serge BatalovFebruary 24, 2014 02:26:52 UTC 2014 年 2 月 24 日 (月) 11 時 26 分 52 秒 (日本時間)
500Serge BatalovJanuary 11, 2015 01:24:50 UTC 2015 年 1 月 11 日 (日) 10 時 24 分 50 秒 (日本時間)

89×10241-539

c210

composite cofactor 合成数の残り
450588982400820167710709310437860822431811094893712714305782427169257310590695391029988051889021535536690010476600433213063937387994842660266452620380763537743739003430807802547612751543140665229061689153923929<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovDecember 30, 2013 12:41:44 UTC 2013 年 12 月 30 日 (月) 21 時 41 分 44 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:13:08 UTC 2014 年 1 月 9 日 (木) 14 時 13 分 8 秒 (日本時間)
4511e61500 / 4077Dmitry DomanovJanuary 10, 2014 08:11:58 UTC 2014 年 1 月 10 日 (金) 17 時 11 分 58 秒 (日本時間)

89×10242-539

c205

composite cofactor 合成数の残り
3047593825394066356571875294297423477655045422005028593657248399406230756504797330206983723150728034416693239528428713190245546270128452202337889361114543737776824639358430995633966825393272752268901374713<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovDecember 30, 2013 12:41:52 UTC 2013 年 12 月 30 日 (月) 21 時 41 分 52 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:13:09 UTC 2014 年 1 月 9 日 (木) 14 時 13 分 9 秒 (日本時間)
4511e61500 / 4077Dmitry DomanovJanuary 10, 2014 08:12:11 UTC 2014 年 1 月 10 日 (金) 17 時 12 分 11 秒 (日本時間)

89×10244-539

c223

composite cofactor 合成数の残り
1798680409236893320997518695351085752896832503848760537057720558493841250880284141123895208015010383025741029444641192165072931157195863507115211076046149087516761431665460084785993114094055833642298931882088319039027176303<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovDecember 30, 2013 12:42:00 UTC 2013 年 12 月 30 日 (月) 21 時 42 分 0 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:13:10 UTC 2014 年 1 月 9 日 (木) 14 時 13 分 10 秒 (日本時間)
4511e61500 / 4077Dmitry DomanovJanuary 10, 2014 08:12:24 UTC 2014 年 1 月 10 日 (金) 17 時 12 分 24 秒 (日本時間)

89×10245-539

c233

composite cofactor 合成数の残り
39589845838060199036567624762059235857193541260228894451946483039316256637129739898270128200251666367704106826675310562127835755209859757815915246815126840302315523691708385079074129479301190251624732416989251561383845844359479965159<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovDecember 30, 2013 12:42:08 UTC 2013 年 12 月 30 日 (月) 21 時 42 分 8 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:13:11 UTC 2014 年 1 月 9 日 (木) 14 時 13 分 11 秒 (日本時間)
4511e61500 / 4077Dmitry DomanovJanuary 13, 2014 11:31:05 UTC 2014 年 1 月 13 日 (月) 20 時 31 分 5 秒 (日本時間)

89×10246-539

c220

name 名前Dmitry Domanov
date 日付December 19, 2013 07:02:07 UTC 2013 年 12 月 19 日 (木) 16 時 2 分 7 秒 (日本時間)
composite number 合成数
5662693584949520932385783006164319850736088019811171098044161084609617262898975111628108794992118098664354229079756740323356060267117099654116588350008547137657827752868910840209157085439201216937390873348516586853704771<220>
prime factors 素因数
2575602873392733049021362778657237<34>
composite cofactor 合成数の残り
2198589558758448454109969036430138363952650732230399327702798092871992004128346628290514016120930344214375776909522423613070853620129053547805557873499639170431891684898177645874223059383<187>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3673934163
Step 1 took 30598ms
Step 2 took 11103ms
********** Factor found in step 2: 2575602873392733049021362778657237
Found probable prime factor of 34 digits: 2575602873392733049021362778657237

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovDecember 30, 2013 12:42:17 UTC 2013 年 12 月 30 日 (月) 21 時 42 分 17 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:13:12 UTC 2014 年 1 月 9 日 (木) 14 時 13 分 12 秒 (日本時間)
4511e61500 / 4077Dmitry DomanovJanuary 13, 2014 11:31:22 UTC 2014 年 1 月 13 日 (月) 20 時 31 分 22 秒 (日本時間)

89×10247-539

c248

composite cofactor 合成数の残り
10987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:32:46 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 46 秒 (日本時間)
4511e6266060Serge BatalovDecember 4, 2013 17:32:46 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 46 秒 (日本時間)
2600Serge BatalovDecember 25, 2013 04:40:18 UTC 2013 年 12 月 25 日 (水) 13 時 40 分 18 秒 (日本時間)
5043e65700 / 6948Serge BatalovDecember 25, 2013 07:49:44 UTC 2013 年 12 月 25 日 (水) 16 時 49 分 44 秒 (日本時間)

89×10248-539

c179

name 名前Dmitry Domanov
date 日付December 19, 2013 07:04:17 UTC 2013 年 12 月 19 日 (木) 16 時 4 分 17 秒 (日本時間)
composite number 合成数
15415098751345744424654234493451646566571765255994850862696817339500316951506988081440269819807594688353993794342710056715901442848039669147470007457932269654964806234903656083947<179>
prime factors 素因数
286970474579582116677141219694737929<36>
53716671632958734907247158213715280475976390857385006635104606940601974254510218105695432282376957887531744250923662956703722727098989747657043<143>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2537103509
Step 1 took 23518ms
Step 2 took 8935ms
********** Factor found in step 2: 286970474579582116677141219694737929
Found probable prime factor of 36 digits: 286970474579582116677141219694737929

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)