Table of contents 目次

17×10115+73

c110

name 名前Ignacio Santos
date 日付March 29, 2009 15:52:21 UTC 2009 年 3 月 30 日 (月) 0 時 52 分 21 秒 (日本時間)
composite number 合成数
40158166482057213103562478193525038971138325749345480942469646922313554491442885283945402846647064756933248387<110>
prime factors 素因数
95290352109099817535683452296597792913083<41>
421429510891924613323930011380750009408902662687024674204055392048089<69>
factorization results 素因数分解の結果
Number: 56669_115
N=40158166482057213103562478193525038971138325749345480942469646922313554491442885283945402846647064756933248387
  ( 110 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=95290352109099817535683452296597792913083 (pp41)
 r2=421429510891924613323930011380750009408902662687024674204055392048089 (pp69)
Version: Msieve-1.39
Total time: 0.77 hours.
Scaled time: 0.92 units (timescale=1.198).
Factorization parameters were as follows:
n: 40158166482057213103562478193525038971138325749345480942469646922313554491442885283945402846647064756933248387
m: 100000000000000000000000
deg: 5
c5: 17
c0: 7
skew: 0.84
type: snfs
lss: 1
rlim: 610000
alim: 610000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 610000/610000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [305000, 455001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 64735 x 64965
Total sieving time: 0.77 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,610000,610000,25,25,45,45,2.2,2.2,50000
total time: 0.77 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 KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10118+73

c107

name 名前Ignacio Santos
date 日付March 29, 2009 16:25:40 UTC 2009 年 3 月 30 日 (月) 1 時 25 分 40 秒 (日本時間)
composite number 合成数
66799486015688331413048161090075435589653725608566758691907701831234347207760026800744726843636555435714561<107>
prime factors 素因数
601885235402110792210900200078722304656813123651<48>
110983759173059900845424929359819040363022947328137613794411<60>
factorization results 素因数分解の結果
Number: 56669_118
N=66799486015688331413048161090075435589653725608566758691907701831234347207760026800744726843636555435714561
  ( 107 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=601885235402110792210900200078722304656813123651 (pp48)
 r2=110983759173059900845424929359819040363022947328137613794411 (pp60)
Version: Msieve-1.39
Total time: 1.43 hours.
Scaled time: 1.71 units (timescale=1.198).
Factorization parameters were as follows:
n: 66799486015688331413048161090075435589653725608566758691907701831234347207760026800744726843636555435714561
m: 500000000000000000000000
deg: 5
c5: 136
c0: 175
skew: 1.05
type: snfs
lss: 1
rlim: 720000
alim: 720000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 720000/720000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [360000, 660001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 83421 x 83653
Total sieving time: 1.43 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,120,5,0,0,0,0,0,0,0,0,720000,720000,25,25,46,46,2.2,2.2,50000
total time: 1.43 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
3025e40--
351e6118 / 904Makoto KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10122+73

c116

name 名前Ignacio Santos
date 日付March 29, 2009 17:39:22 UTC 2009 年 3 月 30 日 (月) 2 時 39 分 22 秒 (日本時間)
composite number 合成数
41286788744900808368608644205244981354036180681576394681688451883611376783501235774303000682519190645851422107652193<116>
prime factors 素因数
74312416334972309488106373427432495350587766049<47>
555583989609428877329491732475831696278630005512381518127600113742657<69>
factorization results 素因数分解の結果
Number: 56669_122
N=41286788744900808368608644205244981354036180681576394681688451883611376783501235774303000682519190645851422107652193
  ( 116 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=74312416334972309488106373427432495350587766049 (pp47)
 r2=555583989609428877329491732475831696278630005512381518127600113742657 (pp69)
Version: Msieve-1.39
Total time: 1.80 hours.
Scaled time: 2.14 units (timescale=1.188).
Factorization parameters were as follows:
n: 41286788744900808368608644205244981354036180681576394681688451883611376783501235774303000682519190645851422107652193
m: 2000000000000000000000000
deg: 5
c5: 425
c0: 56
skew: 0.67
type: snfs
lss: 1
rlim: 820000
alim: 820000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 820000/820000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [410000, 760001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 92352 x 92600
Total sieving time: 1.80 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,124,5,0,0,0,0,0,0,0,0,820000,820000,25,25,46,46,2.2,2.2,50000
total time: 1.80 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 KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10125+73

c107

name 名前Ignacio Santos
date 日付March 29, 2009 21:59:26 UTC 2009 年 3 月 30 日 (月) 6 時 59 分 26 秒 (日本時間)
composite number 合成数
65878662133488915633720942220528513751455616516752988633261898199458452664627642528077056373168179932086813<107>
prime factors 素因数
589250921545742190593877958793077296379<39>
111800694279228050333176460851172320271408111898525575752334134383047<69>
factorization results 素因数分解の結果
Number: 56669_125
N=65878662133488915633720942220528513751455616516752988633261898199458452664627642528077056373168179932086813
  ( 107 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=589250921545742190593877958793077296379 (pp39)
 r2=111800694279228050333176460851172320271408111898525575752334134383047 (pp69)
Version: Msieve-1.39
Total time: 1.49 hours.
Scaled time: 1.77 units (timescale=1.189).
Factorization parameters were as follows:
n: 65878662133488915633720942220528513751455616516752988633261898199458452664627642528077056373168179932086813
m: 10000000000000000000000000
deg: 5
c5: 17
c0: 7
skew: 0.84
type: snfs
lss: 1
rlim: 890000
alim: 890000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 890000/890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [445000, 695001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 115556 x 115804
Total sieving time: 1.49 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,890000,890000,26,26,46,46,2.3,2.3,50000
total time: 1.49 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 KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10127+73

c122

name 名前Erik Branger
date 日付March 29, 2009 21:29:14 UTC 2009 年 3 月 30 日 (月) 6 時 29 分 14 秒 (日本時間)
composite number 合成数
38001658213533105815170217251009223449526756408700233754905846420992652491153996354970359824289273987261397088491779011863<122>
prime factors 素因数
25921348302963192499630665485734572989144837<44>
1466037096889321752043564176958402615677429746334965177187281480617951278229099<79>
factorization results 素因数分解の結果
Number: 56669_127
N=38001658213533105815170217251009223449526756408700233754905846420992652491153996354970359824289273987261397088491779011863
  ( 122 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=25921348302963192499630665485734572989144837
 r2=1466037096889321752043564176958402615677429746334965177187281480617951278229099
Version: 
Total time: 2.72 hours.
Scaled time: 1.08 units (timescale=0.397).
Factorization parameters were as follows:
n: 38001658213533105815170217251009223449526756408700233754905846420992652491153996354970359824289273987261397088491779011863
m: 20000000000000000000000000
deg: 5
c5: 425
c0: 56
skew: 0.67
type: snfs
lss: 1
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [500000, 850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 139261 x 139499
Total sieving time: 2.72 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,129,5,0,0,0,0,0,0,0,0,1000000,1000000,26,26,47,47,2.3,2.3,50000
total time: 2.72 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 KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10129+73

c111

name 名前Sinkiti Sibata
date 日付March 30, 2009 14:10:13 UTC 2009 年 3 月 30 日 (月) 23 時 10 分 13 秒 (日本時間)
composite number 合成数
112563683288621931257893820232631592344395789058017227723897905579838046080414432892570091892364372398589051893<111>
prime factors 素因数
1124466814397827153397456968673<31>
100104050957610405407547844556194856347545057379087033154669977098606751781653141<81>
factorization results 素因数分解の結果
Number: 56663_129
N=112563683288621931257893820232631592344395789058017227723897905579838046080414432892570091892364372398589051893
  ( 111 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=1124466814397827153397456968673 (pp31)
 r2=100104050957610405407547844556194856347545057379087033154669977098606751781653141 (pp81)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 4.52 hours.
Scaled time: 2.14 units (timescale=0.473).
Factorization parameters were as follows:
name: 56663_129
n: 112563683288621931257893820232631592344395789058017227723897905579838046080414432892570091892364372398589051893
m: 100000000000000000000000000
deg: 5
c5: 17
c0: 70
skew: 1.33
type: snfs
lss: 1
rlim: 1080000
alim: 1080000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1080000/1080000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [540000, 890001)
Primes: RFBsize:84270, AFBsize:84768, largePrimes:2723010 encountered
Relations: rels:2604917, finalFF:205337
Max relations in full relation-set: 28
Initial matrix: 169103 x 205337 with sparse part having weight 14878093.
Pruned matrix : 154361 x 155270 with weight 8821894.
Total sieving time: 4.04 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.33 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1080000,1080000,26,26,47,47,2.3,2.3,50000
total time: 4.52 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP 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 KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10132+73

c122

name 名前Ignacio Santos
date 日付March 30, 2009 11:48:36 UTC 2009 年 3 月 30 日 (月) 20 時 48 分 36 秒 (日本時間)
composite number 合成数
63731493595434967341012437950993608144671061585793864272607916454570032027829144609646555791788131891898934762993290475851<122>
prime factors 素因数
9908855818710071772279685922495241980372071557069529<52>
6431771211676737322956945474073996162358335807731917122684415567681219<70>
factorization results 素因数分解の結果
Number: 56669_132
N=63731493595434967341012437950993608144671061585793864272607916454570032027829144609646555791788131891898934762993290475851
  ( 122 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=9908855818710071772279685922495241980372071557069529 (pp52)
 r2=6431771211676737322956945474073996162358335807731917122684415567681219 (pp70)
Version: Msieve-1.39
Total time: 3.46 hours.
Scaled time: 8.90 units (timescale=2.572).
Factorization parameters were as follows:
n: 63731493595434967341012437950993608144671061585793864272607916454570032027829144609646555791788131891898934762993290475851
m: 200000000000000000000000000
deg: 5
c5: 425
c0: 56
skew: 0.67
type: snfs
lss: 1
rlim: 1200000
alim: 1200000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [600000, 1125001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 165896 x 166141
Total sieving time: 3.46 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,134,5,0,0,0,0,0,0,0,0,1200000,1200000,26,26,47,47,2.3,2.3,75000
total time: 3.46 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 KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10133+73

c128

name 名前Sinkiti Sibata
date 日付March 31, 2009 08:01:23 UTC 2009 年 3 月 31 日 (火) 17 時 1 分 23 秒 (日本時間)
composite number 合成数
35740047080153783115518769936901998057843794550231479875515313664113776127288387911538758294056072770099624330058073371793828703<128>
prime factors 素因数
6354900264814491244184743748128071268238350143265482183046067<61>
5624013846139737478130811647155975800741681473273243786489905382309<67>
factorization results 素因数分解の結果
Number: 56669_133
N=35740047080153783115518769936901998057843794550231479875515313664113776127288387911538758294056072770099624330058073371793828703
  ( 128 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=6354900264814491244184743748128071268238350143265482183046067 (pp61)
 r2=5624013846139737478130811647155975800741681473273243786489905382309 (pp67)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 6.47 hours.
Scaled time: 16.65 units (timescale=2.575).
Factorization parameters were as follows:
name: 56669_133
n: 35740047080153783115518769936901998057843794550231479875515313664113776127288387911538758294056072770099624330058073371793828703
m: 500000000000000000000000000
deg: 5
c5: 136
c0: 175
skew: 1.05
type: snfs
lss: 1
rlim: 1280000
alim: 1280000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1280000/1280000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [640000, 1315001)
Primes: RFBsize:98610, AFBsize:98755, largePrimes:3463453 encountered
Relations: rels:3624793, finalFF:411535
Max relations in full relation-set: 28
Initial matrix: 197432 x 411535 with sparse part having weight 40428850.
Pruned matrix : 153381 x 154432 with weight 13499290.
Total sieving time: 6.23 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1280000,1280000,26,26,47,47,2.3,2.3,75000
total time: 6.47 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista 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 KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10134+73

c117

name 名前Sinkiti Sibata
date 日付March 31, 2009 11:03:11 UTC 2009 年 3 月 31 日 (火) 20 時 3 分 11 秒 (日本時間)
composite number 合成数
932584180307896199826436755725362816413786179614293760112655727894376981585212686153454842386632332266149796537458541<117>
prime factors 素因数
177690045721539954255192188637430523827<39>
5248376050110084584175551640517401731912747171702980190279975114064593981426783<79>
factorization results 素因数分解の結果
Number: 56669_134
N=932584180307896199826436755725362816413786179614293760112655727894376981585212686153454842386632332266149796537458541
  ( 117 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=177690045721539954255192188637430523827 (pp39)
 r2=5248376050110084584175551640517401731912747171702980190279975114064593981426783 (pp79)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 10.06 hours.
Scaled time: 25.81 units (timescale=2.564).
Factorization parameters were as follows:
name: 56669_134
n: 932584180307896199826436755725362816413786179614293760112655727894376981585212686153454842386632332266149796537458541
m: 1000000000000000000000000000
deg: 5
c5: 17
c0: 70
skew: 1.33
type: snfs
lss: 1
rlim: 1300000
alim: 1300000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [650000, 1325001)
Primes: RFBsize:100021, AFBsize:100398, largePrimes:4120790 encountered
Relations: rels:5006144, finalFF:1098798
Max relations in full relation-set: 28
Initial matrix: 200484 x 1098798 with sparse part having weight 104332057.
Pruned matrix : 130458 x 131524 with weight 15361620.
Total sieving time: 9.84 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,48,48,2.3,2.3,75000
total time: 10.06 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista 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 KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10138+73

c137

name 名前Erik Branger
date 日付March 30, 2009 15:20:55 UTC 2009 年 3 月 31 日 (火) 0 時 20 分 55 秒 (日本時間)
composite number 合成数
23709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902371<137>
prime factors 素因数
2098112473379109578751455496357626967749<40>
11300586918872044831776718863224420912853578411193077140307922192223698599776702875788745176999879<98>
factorization results 素因数分解の結果
Number: 56669_138
N=23709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902371
  ( 137 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=2098112473379109578751455496357626967749
 r2=11300586918872044831776718863224420912853578411193077140307922192223698599776702875788745176999879
Version: 
Total time: 8.22 hours.
Scaled time: 8.60 units (timescale=1.046).
Factorization parameters were as follows:
n: 23709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902371
m: 5000000000000000000000000000
deg: 5
c5: 136
c0: 175
skew: 1.05
type: snfs
lss: 1
rlim: 1540000
alim: 1540000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1540000/1540000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [770000, 1770001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 234388 x 234636
Total sieving time: 8.22 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1540000,1540000,26,26,48,48,2.3,2.3,100000
total time: 8.22 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 KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10142+73

c106

name 名前Erik Branger
date 日付March 30, 2009 06:54:25 UTC 2009 年 3 月 30 日 (月) 15 時 54 分 25 秒 (日本時間)
composite number 合成数
1161919452311830061295286320108968874314420959924846927818658944252231072336726982590444060540124940047493<106>
prime factors 素因数
227233283820335395527908096833051840478717<42>
5113333015204387993644768090944545112606409701910513354681529129<64>
factorization results 素因数分解の結果
Number: 56669_142
N=1161919452311830061295286320108968874314420959924846927818658944252231072336726982590444060540124940047493
  ( 106 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=227233283820335395527908096833051840478717
 r2=5113333015204387993644768090944545112606409701910513354681529129
Version: 
Total time: 9.28 hours.
Scaled time: 3.70 units (timescale=0.398).
Factorization parameters were as follows:
n: 1161919452311830061295286320108968874314420959924846927818658944252231072336726982590444060540124940047493
m: 20000000000000000000000000000
deg: 5
c5: 425
c0: 56
skew: 0.67
type: snfs
lss: 1
rlim: 1770000
alim: 1770000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1770000/1770000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [885000, 1985001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 270587 x 270828
Total sieving time: 9.28 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,1770000,1770000,26,26,49,49,2.3,2.3,100000
total time: 9.28 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 KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10143+73

c144

name 名前Sinkiti Sibata
date 日付March 30, 2009 22:30:53 UTC 2009 年 3 月 31 日 (火) 7 時 30 分 53 秒 (日本時間)
composite number 合成数
566666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669<144>
prime factors 素因数
27982756612723364391161873357402661413921623326919<50>
20250566250825028908340470371472117580789090434207731128039313703339686354231140442904863190251<95>
factorization results 素因数分解の結果
Number: 56669_143
N=566666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669
  ( 144 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=27982756612723364391161873357402661413921623326919 (pp50)
 r2=20250566250825028908340470371472117580789090434207731128039313703339686354231140442904863190251 (pp95)
Version: GGNFS-0.77.1-20060513-k8
Total time: 17.71 hours.
Scaled time: 35.25 units (timescale=1.991).
Factorization parameters were as follows:
name: 56669_143
n: 566666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669
m: 50000000000000000000000000000
deg: 5
c5: 136
c0: 175
skew: 1.05
type: snfs
lss: 1
rlim: 1870000
alim: 1870000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3

Factor base limits: 1870000/1870000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [935000, 2435001)
Primes: RFBsize:139952, AFBsize:140182, largePrimes:4117559 encountered
Relations: rels:4277564, finalFF:355683
Max relations in full relation-set: 28
Initial matrix: 280201 x 355683 with sparse part having weight 38073609.
Pruned matrix : 254929 x 256394 with weight 25011096.
Total sieving time: 16.72 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.74 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1870000,1870000,26,26,49,49,2.3,2.3,100000
total time: 17.71 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10145+73

c110

name 名前Robert Backstrom
date 日付March 31, 2009 06:45:36 UTC 2009 年 3 月 31 日 (火) 15 時 45 分 36 秒 (日本時間)
composite number 合成数
38514608823353377272641347653420217491397580608502431726839383981631414778701495850403463655142317875973712831<110>
prime factors 素因数
18183749665123138488743833669798206342683<41>
2118078478457350688003065996325803900532514144740988502378387478125357<70>
factorization results 素因数分解の結果
Number: n
N=38514608823353377272641347653420217491397580608502431726839383981631414778701495850403463655142317875973712831
  ( 110 digits)
Divisors found:

Tue Mar 31 17:40:48 2009  prp41 factor: 18183749665123138488743833669798206342683
Tue Mar 31 17:40:48 2009  prp70 factor: 2118078478457350688003065996325803900532514144740988502378387478125357
Tue Mar 31 17:40:48 2009  elapsed time 00:33:50 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 13.42 hours.
Scaled time: 35.42 units (timescale=2.639).
Factorization parameters were as follows:
name: KA_5_6_144_9
n: 38514608823353377272641347653420217491397580608502431726839383981631414778701495850403463655142317875973712831
skew: 37739.22
# norm 4.10e+15
c5: 20580
c4: -3779595533
c3: -179745057398388
c2: 4385492615468670600
c1: 77526627803213528726734
c0: -311510180055772786998885888
# alpha -6.59
Y1: 159942219547
Y0: -1133543719479839699269
# Murphy_E 9.84e-10
# M 33740392465434260340494028499491057358071137137340339477433159730462287355555309704189306725907028187501742996
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [1600000, 2200141)
Primes: RFBsize:230209, AFBsize:230131, largePrimes:16112914 encountered
Relations: rels:14158601, finalFF:468589
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 786233 hash collisions in 14611703 relations
Msieve: matrix is 452695 x 452943 (125.8 MB)

Total sieving time: 12.98 hours.
Total relation processing time: 0.44 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,28,28,56,56,2.6,2.6,100000
total time: 13.42 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 KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10146+73

c115

name 名前Ignacio Santos
date 日付March 30, 2009 17:14:25 UTC 2009 年 3 月 31 日 (火) 2 時 14 分 25 秒 (日本時間)
composite number 合成数
3084341678917386880850198417534629193145857975643907546729705176891505592880992672853761482215266377566809886537737<115>
prime factors 素因数
3057392239329248851492355041710477577863419<43>
1008814518216364144881525304100909685341593542436645633932512347413758923<73>
factorization results 素因数分解の結果
Number: 56669_146
N=3084341678917386880850198417534629193145857975643907546729705176891505592880992672853761482215266377566809886537737
  ( 115 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=3057392239329248851492355041710477577863419 (pp43)
 r2=1008814518216364144881525304100909685341593542436645633932512347413758923 (pp73)
Version: Msieve-1.39
Total time: 10.06 hours.
Scaled time: 17.50 units (timescale=1.739).
Factorization parameters were as follows:
n: 3084341678917386880850198417534629193145857975643907546729705176891505592880992672853761482215266377566809886537737
m: 200000000000000000000000000000
deg: 5
c5: 85
c0: 112
skew: 1.06
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 373222 x 373467
Total sieving time: 10.06 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 10.06 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 KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10147+73

c118

name 名前Sinkiti Sibata
date 日付April 1, 2009 01:50:18 UTC 2009 年 4 月 1 日 (水) 10 時 50 分 18 秒 (日本時間)
composite number 合成数
1180985673335975127458015295142275435200430185710279701518984234077262189735487732400421632109737794206544658338910111<118>
prime factors 素因数
129573033117179924588512239938857447<36>
9114440288419780231543146000035797635625289495351245774582669051068725173190763913<82>
factorization results 素因数分解の結果
Number: 56669_147
N=1180985673335975127458015295142275435200430185710279701518984234077262189735487732400421632109737794206544658338910111
  ( 118 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=129573033117179924588512239938857447
 r2=9114440288419780231543146000035797635625289495351245774582669051068725173190763913
Version: 
Total time: 11.81 hours.
Scaled time: 30.29 units (timescale=2.564).
Factorization parameters were as follows:
name: 56669_147
n: 1180985673335975127458015295142275435200430185710279701518984234077262189735487732400421632109737794206544658338910111
m: 200000000000000000000000000000
deg: 5
c5: 425
c0: 56
skew: 0.67
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 340985 x 341233
Total sieving time: 11.81 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,149,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 11.81 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 KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10151+73

c119

name 名前Ignacio Santos
date 日付March 31, 2009 20:07:16 UTC 2009 年 4 月 1 日 (水) 5 時 7 分 16 秒 (日本時間)
composite number 合成数
12685490598988142060189052548698739487943122986927356219830691821817806004377075201132067447650111602237073638053619087<119>
prime factors 素因数
62238710570922495573366663882681629<35>
203819945539082511597499093572063494216006110047531367428499987663572659507351099803<84>
factorization results 素因数分解の結果
Number: 56669_151
N=12685490598988142060189052548698739487943122986927356219830691821817806004377075201132067447650111602237073638053619087
  ( 119 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=62238710570922495573366663882681629 (pp35)
 r2=203819945539082511597499093572063494216006110047531367428499987663572659507351099803 (pp84)
Version: Msieve-1.39
Total time: 18.17 hours.
Scaled time: 46.72 units (timescale=2.571).
Factorization parameters were as follows:
n: 12685490598988142060189052548698739487943122986927356219830691821817806004377075201132067447650111602237073638053619087
m: 2000000000000000000000000000000
deg: 5
c5: 85
c0: 112
skew: 1.06
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
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 2250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 455657 x 455905
Total sieving time: 18.17 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 18.17 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 KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10152+73

c108

name 名前Serge Batalov
date 日付March 29, 2009 18:10:26 UTC 2009 年 3 月 30 日 (月) 3 時 10 分 26 秒 (日本時間)
composite number 合成数
289656943566242790656253191449865856997978818429278474693874788949779475721229241273319289048107700792064187<108>
prime factors 素因数
21420174711076672817390171047<29>
13522622829796860710833630636754411679637874455069340439451980743975628136252621<80>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=588125940
Step 1 took 6860ms
Step 2 took 5964ms
********** Factor found in step 2: 21420174711076672817390171047
Found probable prime factor of 29 digits: 21420174711076672817390171047
Probable prime cofactor  has 80 digits
software ソフトウェア
GMP-ECM 6.2.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10156+73

c150

name 名前Ignacio Santos
date 日付March 30, 2009 20:42:34 UTC 2009 年 3 月 31 日 (火) 5 時 42 分 34 秒 (日本時間)
composite number 合成数
357065525451641156120200774164267658922356500563774958906483887764727592925305315703790118228386209381669839613937393264975448909604850495719319948123<150>
prime factors 素因数
2367635701915964097724774454907252952361<40>
150811007437796566561181108281747578101194546138167998981260017491864192266868547474304779267945342162030780643<111>
factorization results 素因数分解の結果
Number: 56669_156
N=357065525451641156120200774164267658922356500563774958906483887764727592925305315703790118228386209381669839613937393264975448909604850495719319948123
  ( 150 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=2367635701915964097724774454907252952361 (pp40)
 r2=150811007437796566561181108281747578101194546138167998981260017491864192266868547474304779267945342162030780643 (pp111)
Version: Msieve-1.39
Total time: 25.77 hours.
Scaled time: 66.27 units (timescale=2.571).
Factorization parameters were as follows:
n: 357065525451641156120200774164267658922356500563774958906483887764727592925305315703790118228386209381669839613937393264975448909604850495719319948123
m: 20000000000000000000000000000000
deg: 5
c5: 85
c0: 112
skew: 1.06
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1550000, 2950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 606794 x 607042
Total sieving time: 25.77 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 25.77 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 KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10157+73

c121

name 名前Robert Backstrom
date 日付March 31, 2009 23:09:23 UTC 2009 年 4 月 1 日 (水) 8 時 9 分 23 秒 (日本時間)
composite number 合成数
8616323719537841537759651358421384010839230693036831137814836804107326568016821978024742706935361081846090501105739109203<121>
prime factors 素因数
1082985503619346698482704731511<31>
7956084075679697378771476734726063706643361276396233640080959594833325824674938385234259973<91>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 8616323719537841537759651358421384010839230693036831137814836804107326568016821978024742706935361081846090501105739109203 (121 digits)
Using B1=694000, B2=696689082, polynomial Dickson(3), sigma=3423227726
Step 1 took 7675ms
Step 2 took 3276ms
********** Factor found in step 2: 1082985503619346698482704731511
Found probable prime factor of 31 digits: 1082985503619346698482704731511
Probable prime cofactor 7956084075679697378771476734726063706643361276396233640080959594833325824674938385234259973 has 91 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10160+73

c127

name 名前Ignacio Santos
date 日付April 2, 2009 07:52:15 UTC 2009 年 4 月 2 日 (木) 16 時 52 分 15 秒 (日本時間)
composite number 合成数
7818983420572183313885508354149170315271535459558520090924152834647048606412117555333256200815847360324458229993451556830835483<127>
prime factors 素因数
989305839297597455448441667592295923732537<42>
7903504770702278656014169956012092871449979941049288506442631913106346161258415273459<85>
factorization results 素因数分解の結果
Number: 56669_160
N=7818983420572183313885508354149170315271535459558520090924152834647048606412117555333256200815847360324458229993451556830835483
  ( 127 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=989305839297597455448441667592295923732537 (pp42)
 r2=7903504770702278656014169956012092871449979941049288506442631913106346161258415273459 (pp85)
Version: Msieve-1.39
Total time: 21.08 hours.
Scaled time: 36.66 units (timescale=1.739).
Factorization parameters were as follows:
n: 7818983420572183313885508354149170315271535459558520090924152834647048606412117555333256200815847360324458229993451556830835483
m: 100000000000000000000000000000000
deg: 5
c5: 17
c0: 7
skew: 0.84
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 2900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 678821 x 679069
Total sieving time: 21.08 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 21.08 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10162+73

c158

name 名前Ignacio Santos
date 日付March 31, 2009 06:13:14 UTC 2009 年 3 月 31 日 (火) 15 時 13 分 14 秒 (日本時間)
composite number 合成数
42500106250265625664064160160400401001002502506256265640664101660254150635376588441471103677759194397985994964987412468531171327928319820799551998879997199993<158>
prime factors 素因数
938555543805634759258867025023469462009038450912147151697593<60>
45282462535927402072019537780515353914840639175316981835821290735171335483580567771222872954596801<98>
factorization results 素因数分解の結果
Number: 56669_162
N=42500106250265625664064160160400401001002502506256265640664101660254150635376588441471103677759194397985994964987412468531171327928319820799551998879997199993
  ( 158 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=938555543805634759258867025023469462009038450912147151697593 (pp60)
 r2=45282462535927402072019537780515353914840639175316981835821290735171335483580567771222872954596801 (pp98)
Version: Msieve-1.39
Total time: 31.25 hours.
Scaled time: 54.35 units (timescale=1.739).
Factorization parameters were as follows:
n: 42500106250265625664064160160400401001002502506256265640664101660254150635376588441471103677759194397985994964987412468531171327928319820799551998879997199993
m: 200000000000000000000000000000000
deg: 5
c5: 425
c0: 56
skew: 0.67
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 3700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 662969 x 663217
Total sieving time: 31.25 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 31.25 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10163+73

c131

name 名前Ignacio Santos
date 日付April 3, 2009 07:55:19 UTC 2009 年 4 月 3 日 (金) 16 時 55 分 19 秒 (日本時間)
composite number 合成数
33230924845131230638453045298820336196589723482764603996276526130903891126914846634423420467368882127568945743878401132370804286787<131>
prime factors 素因数
148591516859296022679317547384453453317316739620861227614314937<63>
223639448250590176645911909739904742040253594405448053845320498425051<69>
factorization results 素因数分解の結果
Number: 56669_163
N=33230924845131230638453045298820336196589723482764603996276526130903891126914846634423420467368882127568945743878401132370804286787
  ( 131 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=148591516859296022679317547384453453317316739620861227614314937 (pp63)
 r2=223639448250590176645911909739904742040253594405448053845320498425051 (pp69)
Version: Msieve-1.39
Total time: 39.44 hours.
Scaled time: 68.59 units (timescale=1.739).
Factorization parameters were as follows:
n: 33230924845131230638453045298820336196589723482764603996276526130903891126914846634423420467368882127568945743878401132370804286787
m: 500000000000000000000000000000000
deg: 5
c5: 136
c0: 175
skew: 1.05
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2000000, 4300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 750901 x 751149
Total sieving time: 39.44 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 39.44 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 KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10164+73

c130

name 名前Jo Yeong Uk
date 日付April 21, 2009 14:59:26 UTC 2009 年 4 月 21 日 (火) 23 時 59 分 26 秒 (日本時間)
composite number 合成数
2188483321797042080199208926466285626226356003556927267628384147997644819195672652362693649569098240692076340501181169127676235601<130>
prime factors 素因数
24684467871388862668725282027781049084155761016849459<53>
88658314742674979794126359600408571068896112076998888313552681943961026591339<77>
factorization results 素因数分解の結果
Number: 56669_164
N=2188483321797042080199208926466285626226356003556927267628384147997644819195672652362693649569098240692076340501181169127676235601
  ( 130 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=24684467871388862668725282027781049084155761016849459
 r2=88658314742674979794126359600408571068896112076998888313552681943961026591339
Version: 
Total time: 21.83 hours.
Scaled time: 52.00 units (timescale=2.382).
Factorization parameters were as follows:
n: 2188483321797042080199208926466285626226356003556927267628384147997644819195672652362693649569098240692076340501181169127676235601
m: 1000000000000000000000000000000000
deg: 5
c5: 17
c0: 70
skew: 1.33
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, 4000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9658440
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 757735 x 757983
Total sieving time: 19.70 hours.
Total relation processing time: 0.84 hours.
Matrix solve time: 1.21 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 21.83 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10165+73

c148

name 名前Robert Backstrom
date 日付April 2, 2009 22:56:23 UTC 2009 年 4 月 3 日 (金) 7 時 56 分 23 秒 (日本時間)
composite number 合成数
9488169510859261975548862126800284710138279837509243307297657669910691674074118310280029600192922952587724790404344825790272107433974239825984442499<148>
prime factors 素因数
7257637173651497122210754800561918501478911133555621<52>
1307335884095391993398822026800587406558775089321301467965713560222929048372608055123835019731719<97>
factorization results 素因数分解の結果
Number: n
N=9488169510859261975548862126800284710138279837509243307297657669910691674074118310280029600192922952587724790404344825790272107433974239825984442499
  ( 148 digits)
SNFS difficulty: 166 digits.
Divisors found:

Fri Apr 03 07:00:45 2009  prp52 factor: 7257637173651497122210754800561918501478911133555621
Fri Apr 03 07:00:45 2009  prp97 factor: 1307335884095391993398822026800587406558775089321301467965713560222929048372608055123835019731719
Fri Apr 03 07:00:45 2009  elapsed time 01:21:33 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 32.55 hours.
Scaled time: 85.90 units (timescale=2.639).
Factorization parameters were as follows:
name: KA_5_6_164_9
n: 9488169510859261975548862126800284710138279837509243307297657669910691674074118310280029600192922952587724790404344825790272107433974239825984442499
skew: 0.84
deg: 5
c5: 17
c0: 7
m: 1000000000000000000000000000000000
type: snfs
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2500000, 4500137)
Primes: RFBsize:348513, AFBsize:349046, largePrimes:15772259 encountered
Relations: rels:14854719, finalFF:735109
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1253373 hash collisions in 15777903 relations
Msieve: matrix is 840330 x 840578 (225.3 MB)

Total sieving time: 32.08 hours.
Total relation processing time: 0.47 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,56,56,2.4,2.4,100000
total time: 32.55 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 KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10168+73

c148

name 名前Robert Backstrom
date 日付April 25, 2009 06:08:01 UTC 2009 年 4 月 25 日 (土) 15 時 8 分 1 秒 (日本時間)
composite number 合成数
2483776336002808045620469682926685372479589939012661589982962543702359427428652288125288118566905146030280923577515033415821039268567270581541582447<148>
prime factors 素因数
17750314911886256685469328373006864448252907163669091067552591<62>
139928578638319314678328668947574395690000477539047365624769415108634425048302841672417<87>
factorization results 素因数分解の結果
Number: n
N=2483776336002808045620469682926685372479589939012661589982962543702359427428652288125288118566905146030280923577515033415821039268567270581541582447
  ( 148 digits)
SNFS difficulty: 170 digits.
Divisors found:

Sat Apr 25 15:59:55 2009  prp62 factor: 17750314911886256685469328373006864448252907163669091067552591
Sat Apr 25 15:59:55 2009  prp87 factor: 139928578638319314678328668947574395690000477539047365624769415108634425048302841672417
Sat Apr 25 15:59:55 2009  elapsed time 01:36:27 (Msieve 1.39 - dependency 3)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 60.77 hours.
Scaled time: 160.36 units (timescale=2.639).
Factorization parameters were as follows:
name: KA_5_6_167_9
n: 2483776336002808045620469682926685372479589939012661589982962543702359427428652288125288118566905146030280923577515033415821039268567270581541582447
m: 5000000000000000000000000000000000
deg: 5
c5: 136
c0: 175
skew: 1.05
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2450000, 5951689)
Primes: RFBsize:341992, AFBsize:341883, largePrimes:17859820 encountered
Relations: rels:18199396, finalFF:629046
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2359672 hash collisions in 20150521 relations
Msieve: matrix is 817865 x 818113 (216.9 MB)

Total sieving time: 59.83 hours.
Total relation processing time: 0.94 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4900000,4900000,28,28,56,56,2.4,2.4,100000
total time: 60.77 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 KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10169+73

c138

name 名前Wataru Sakai
date 日付June 15, 2009 02:30:45 UTC 2009 年 6 月 15 日 (月) 11 時 30 分 45 秒 (日本時間)
composite number 合成数
157056933711905524778803089990835875502683980495932921993570904277238202521034125849552236613535782536855994530119353897058859187976897971<138>
prime factors 素因数
2324768203435506363366226453197815069<37>
67558104709023990501069888186016245427948179198146067231684361193242776832285202310303887339358758159<101>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2047747038
Step 1 took 42655ms
Step 2 took 14967ms
********** Factor found in step 2: 2324768203435506363366226453197815069
Found probable prime factor of 37 digits: 2324768203435506363366226453197815069
Probable prime cofactor 67558104709023990501069888186016245427948179198146067231684361193242776832285202310303887339358758159 has 101 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10170+73

c131

name 名前Wataru Sakai
date 日付June 16, 2009 12:54:31 UTC 2009 年 6 月 16 日 (火) 21 時 54 分 31 秒 (日本時間)
composite number 合成数
29960188302245130653008052824076987084897854019312120327669503595838274411136431987946668190548374005257236304337939258768352413639<131>
prime factors 素因数
162573751231188186196793586329<30>
composite cofactor 合成数の残り
184286750323182314380444905316628685751186302523555068558316595554862239297139529533915383571885271391<102>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3231751289
Step 1 took 38311ms
Step 2 took 14187ms
********** Factor found in step 2: 162573751231188186196793586329
Found probable prime factor of 30 digits: 162573751231188186196793586329
Composite cofactor 184286750323182314380444905316628685751186302523555068558316595554862239297139529533915383571885271391 has 102 digits
software ソフトウェア
GMP-ECM 6.2.1

c102

name 名前Andreas Tete
date 日付June 17, 2009 11:44:29 UTC 2009 年 6 月 17 日 (水) 20 時 44 分 29 秒 (日本時間)
composite number 合成数
184286750323182314380444905316628685751186302523555068558316595554862239297139529533915383571885271391<102>
prime factors 素因数
102486391641802624865794677615608882159<39>
1798158246875135173916969236304899898630006002386192375498498449<64>
factorization results 素因数分解の結果
Wed Jun 17 10:43:02 2009  Msieve v. 1.42
Wed Jun 17 10:43:02 2009  random seeds: 433ed298 64d9e482
Wed Jun 17 10:43:02 2009  factoring 184286750323182314380444905316628685751186302523555068558316595554862239297139529533915383571885271391 (102 digits)
Wed Jun 17 10:43:03 2009  searching for 15-digit factors
Wed Jun 17 10:43:04 2009  commencing number field sieve (102-digit input)
Wed Jun 17 10:43:04 2009  R0: -48886729453583034047
Wed Jun 17 10:43:04 2009  R1:  27538271657
Wed Jun 17 10:43:04 2009  A0:  1655221487135049353428650
Wed Jun 17 10:43:04 2009  A1:  139986539947248807243
Wed Jun 17 10:43:04 2009  A2: -493487056659667
Wed Jun 17 10:43:04 2009  A3: -286852384879
Wed Jun 17 10:43:04 2009  A4: -12793664
Wed Jun 17 10:43:04 2009  A5:  660
Wed Jun 17 10:43:04 2009  skew 23388.86, size 1.238991e-009, alpha -4.826938, combined = 2.969698e-009
Wed Jun 17 10:43:04 2009  
Wed Jun 17 10:43:04 2009  commencing relation filtering
Wed Jun 17 10:43:04 2009  commencing duplicate removal, pass 1
Wed Jun 17 10:43:38 2009  found 226641 hash collisions in 3981204 relations
Wed Jun 17 10:43:49 2009  added 30399 free relations
Wed Jun 17 10:43:49 2009  commencing duplicate removal, pass 2
Wed Jun 17 10:43:54 2009  found 206333 duplicates and 3805269 unique relations
Wed Jun 17 10:43:54 2009  memory use: 36.7 MB
Wed Jun 17 10:43:54 2009  reading rational ideals above 2162688
Wed Jun 17 10:43:54 2009  reading algebraic ideals above 2162688
Wed Jun 17 10:43:54 2009  commencing singleton removal, pass 1
Wed Jun 17 10:44:30 2009  relations with 0 large ideals: 87613
Wed Jun 17 10:44:30 2009  relations with 1 large ideals: 607266
Wed Jun 17 10:44:30 2009  relations with 2 large ideals: 1422964
Wed Jun 17 10:44:30 2009  relations with 3 large ideals: 1293039
Wed Jun 17 10:44:30 2009  relations with 4 large ideals: 365325
Wed Jun 17 10:44:30 2009  relations with 5 large ideals: 0
Wed Jun 17 10:44:30 2009  relations with 6 large ideals: 29062
Wed Jun 17 10:44:30 2009  relations with 7+ large ideals: 0
Wed Jun 17 10:44:30 2009  3805269 relations and about 3828438 large ideals
Wed Jun 17 10:44:30 2009  commencing singleton removal, pass 2
Wed Jun 17 10:45:06 2009  found 1847305 singletons
Wed Jun 17 10:45:06 2009  current dataset: 1957964 relations and about 1579102 large ideals
Wed Jun 17 10:45:06 2009  commencing singleton removal, pass 3
Wed Jun 17 10:45:31 2009  found 388897 singletons
Wed Jun 17 10:45:31 2009  current dataset: 1569067 relations and about 1160524 large ideals
Wed Jun 17 10:45:31 2009  commencing singleton removal, final pass
Wed Jun 17 10:45:50 2009  memory use: 24.2 MB
Wed Jun 17 10:45:50 2009  commencing in-memory singleton removal
Wed Jun 17 10:45:50 2009  begin with 1569067 relations and 1190472 unique ideals
Wed Jun 17 10:45:51 2009  reduce to 1319249 relations and 933729 ideals in 13 passes
Wed Jun 17 10:45:51 2009  max relations containing the same ideal: 16
Wed Jun 17 10:45:51 2009  reading rational ideals above 100000
Wed Jun 17 10:45:51 2009  reading algebraic ideals above 100000
Wed Jun 17 10:45:51 2009  commencing singleton removal, final pass
Wed Jun 17 10:46:09 2009  keeping 1233284 ideals with weight <= 25, new excess is 99584
Wed Jun 17 10:46:11 2009  memory use: 34.3 MB
Wed Jun 17 10:46:11 2009  commencing in-memory singleton removal
Wed Jun 17 10:46:11 2009  begin with 1332898 relations and 1233284 unique ideals
Wed Jun 17 10:46:12 2009  reduce to 1310030 relations and 1144254 ideals in 12 passes
Wed Jun 17 10:46:12 2009  max relations containing the same ideal: 25
Wed Jun 17 10:46:13 2009  removing 196021 relations and 170892 ideals in 25129 cliques
Wed Jun 17 10:46:13 2009  commencing in-memory singleton removal
Wed Jun 17 10:46:13 2009  begin with 1114009 relations and 1144254 unique ideals
Wed Jun 17 10:46:14 2009  reduce to 1095209 relations and 954131 ideals in 9 passes
Wed Jun 17 10:46:14 2009  max relations containing the same ideal: 25
Wed Jun 17 10:46:15 2009  removing 146412 relations and 121283 ideals in 25129 cliques
Wed Jun 17 10:46:15 2009  commencing in-memory singleton removal
Wed Jun 17 10:46:15 2009  begin with 948797 relations and 954131 unique ideals
Wed Jun 17 10:46:15 2009  reduce to 934995 relations and 818721 ideals in 7 passes
Wed Jun 17 10:46:15 2009  max relations containing the same ideal: 25
Wed Jun 17 10:46:16 2009  relations with 0 large ideals: 4286
Wed Jun 17 10:46:16 2009  relations with 1 large ideals: 38985
Wed Jun 17 10:46:16 2009  relations with 2 large ideals: 142845
Wed Jun 17 10:46:16 2009  relations with 3 large ideals: 264588
Wed Jun 17 10:46:16 2009  relations with 4 large ideals: 270213
Wed Jun 17 10:46:16 2009  relations with 5 large ideals: 154225
Wed Jun 17 10:46:16 2009  relations with 6 large ideals: 50521
Wed Jun 17 10:46:16 2009  relations with 7+ large ideals: 9332
Wed Jun 17 10:46:16 2009  commencing 2-way merge
Wed Jun 17 10:46:16 2009  reduce to 557916 relation sets and 441642 unique ideals
Wed Jun 17 10:46:16 2009  commencing full merge
Wed Jun 17 10:46:24 2009  memory use: 36.4 MB
Wed Jun 17 10:46:24 2009  found 262675 cycles, need 247842
Wed Jun 17 10:46:24 2009  weight of 247842 cycles is about 17409653 (70.24/cycle)
Wed Jun 17 10:46:24 2009  distribution of cycle lengths:
Wed Jun 17 10:46:24 2009  1 relations: 23301
Wed Jun 17 10:46:24 2009  2 relations: 24561
Wed Jun 17 10:46:24 2009  3 relations: 24959
Wed Jun 17 10:46:24 2009  4 relations: 23784
Wed Jun 17 10:46:24 2009  5 relations: 22348
Wed Jun 17 10:46:24 2009  6 relations: 19801
Wed Jun 17 10:46:24 2009  7 relations: 18209
Wed Jun 17 10:46:24 2009  8 relations: 16045
Wed Jun 17 10:46:24 2009  9 relations: 14195
Wed Jun 17 10:46:24 2009  10+ relations: 60639
Wed Jun 17 10:46:24 2009  heaviest cycle: 19 relations
Wed Jun 17 10:46:24 2009  commencing cycle optimization
Wed Jun 17 10:46:25 2009  start with 1626188 relations
Wed Jun 17 10:46:29 2009  pruned 47838 relations
Wed Jun 17 10:46:29 2009  memory use: 41.4 MB
Wed Jun 17 10:46:29 2009  distribution of cycle lengths:
Wed Jun 17 10:46:29 2009  1 relations: 23301
Wed Jun 17 10:46:29 2009  2 relations: 25154
Wed Jun 17 10:46:29 2009  3 relations: 26000
Wed Jun 17 10:46:29 2009  4 relations: 24495
Wed Jun 17 10:46:29 2009  5 relations: 23048
Wed Jun 17 10:46:29 2009  6 relations: 20446
Wed Jun 17 10:46:29 2009  7 relations: 18605
Wed Jun 17 10:46:29 2009  8 relations: 16292
Wed Jun 17 10:46:29 2009  9 relations: 14364
Wed Jun 17 10:46:29 2009  10+ relations: 56137
Wed Jun 17 10:46:29 2009  heaviest cycle: 19 relations
Wed Jun 17 10:46:29 2009  RelProcTime: 193
Wed Jun 17 10:46:29 2009  
Wed Jun 17 10:46:29 2009  commencing linear algebra
Wed Jun 17 10:46:29 2009  read 247842 cycles
Wed Jun 17 10:46:30 2009  cycles contain 843980 unique relations
Wed Jun 17 10:46:43 2009  read 843980 relations
Wed Jun 17 10:46:44 2009  using 20 quadratic characters above 67106562
Wed Jun 17 10:46:49 2009  building initial matrix
Wed Jun 17 10:47:00 2009  memory use: 91.7 MB
Wed Jun 17 10:47:01 2009  read 247842 cycles
Wed Jun 17 10:47:01 2009  matrix is 247647 x 247842 (70.5 MB) with weight 23537024 (94.97/col)
Wed Jun 17 10:47:01 2009  sparse part has weight 16510401 (66.62/col)
Wed Jun 17 10:47:04 2009  filtering completed in 2 passes
Wed Jun 17 10:47:04 2009  matrix is 246637 x 246832 (70.4 MB) with weight 23478090 (95.12/col)
Wed Jun 17 10:47:04 2009  sparse part has weight 16482270 (66.78/col)
Wed Jun 17 10:47:05 2009  read 246832 cycles
Wed Jun 17 10:47:06 2009  matrix is 246637 x 246832 (70.4 MB) with weight 23478090 (95.12/col)
Wed Jun 17 10:47:06 2009  sparse part has weight 16482270 (66.78/col)
Wed Jun 17 10:47:06 2009  saving the first 48 matrix rows for later
Wed Jun 17 10:47:06 2009  matrix is 246589 x 246832 (67.2 MB) with weight 18694202 (75.74/col)
Wed Jun 17 10:47:06 2009  sparse part has weight 16146110 (65.41/col)
Wed Jun 17 10:47:06 2009  matrix includes 64 packed rows
Wed Jun 17 10:47:06 2009  using block size 65536 for processor cache size 3072 kB
Wed Jun 17 10:47:08 2009  commencing Lanczos iteration
Wed Jun 17 10:47:08 2009  memory use: 65.0 MB
Wed Jun 17 10:55:12 2009  lanczos halted after 3903 iterations (dim = 246589)
Wed Jun 17 10:55:13 2009  recovered 36 nontrivial dependencies
Wed Jun 17 10:55:13 2009  BLanczosTime: 524
Wed Jun 17 10:55:13 2009  
Wed Jun 17 10:55:13 2009  commencing square root phase
Wed Jun 17 10:55:13 2009  reading relations for dependency 1
Wed Jun 17 10:55:13 2009  read 123117 cycles
Wed Jun 17 10:55:14 2009  cycles contain 520801 unique relations
Wed Jun 17 10:55:20 2009  read 520801 relations
Wed Jun 17 10:55:22 2009  multiplying 420376 relations
Wed Jun 17 10:56:05 2009  multiply complete, coefficients have about 15.35 million bits
Wed Jun 17 10:56:06 2009  initial square root is modulo 656468557
Wed Jun 17 10:57:29 2009  reading relations for dependency 2
Wed Jun 17 10:57:30 2009  read 123574 cycles
Wed Jun 17 10:57:30 2009  cycles contain 523003 unique relations
Wed Jun 17 10:57:43 2009  read 523003 relations
Wed Jun 17 10:57:45 2009  multiplying 421782 relations
Wed Jun 17 10:58:28 2009  multiply complete, coefficients have about 15.40 million bits
Wed Jun 17 10:58:29 2009  initial square root is modulo 703063901
Wed Jun 17 10:59:51 2009  sqrtTime: 278
Wed Jun 17 10:59:51 2009  prp39 factor: 102486391641802624865794677615608882159
Wed Jun 17 10:59:51 2009  prp64 factor: 1798158246875135173916969236304899898630006002386192375498498449
Wed Jun 17 10:59:51 2009  elapsed time 00:16:49
total time 4,5 hours
software ソフトウェア
Msieve v. 1.42 / GGNFS
execution environment 実行環境
Intel Core 2 Duo / Windows Vista 32bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10171+73

c157

name 名前Wataru Sakai
date 日付July 26, 2009 10:43:29 UTC 2009 年 7 月 26 日 (日) 19 時 43 分 29 秒 (日本時間)
composite number 合成数
7129206153413531758951558026993051254406146721036214297067700408385122159268465684086680228991256208874335001724510862278282738403559343733329457692683512107<157>
prime factors 素因数
310692117837628822353435398753<30>
22946208622966530086181294683282074760948833484150202522041144943775782218378532782991915144433011255535400598496135511752228619<128>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1603423327
Step 1 took 52394ms
Step 2 took 17646ms
********** Factor found in step 2: 310692117837628822353435398753
Found probable prime factor of 30 digits: 310692117837628822353435398753
Probable prime cofactor 22946208622966530086181294683282074760948833484150202522041144943775782218378532782991915144433011255535400598496135511752228619 has 128 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10172+73

c137

name 名前Sinkiti Sibata
date 日付June 6, 2010 07:16:05 UTC 2010 年 6 月 6 日 (日) 16 時 16 分 5 秒 (日本時間)
composite number 合成数
11932629522374285782124749213640542099710079365609160898965555315320358989385675353324614239915648242803796733004156021027609113677873241<137>
prime factors 素因数
107942261039472691848897739227392029805616932642988451157<57>
110546410714990687261685528449548157540828943874884907631334337492364227515002613<81>
factorization results 素因数分解の結果
Number: 56669_172
N=11932629522374285782124749213640542099710079365609160898965555315320358989385675353324614239915648242803796733004156021027609113677873241
  ( 137 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=107942261039472691848897739227392029805616932642988451157 (pp57)
 r2=110546410714990687261685528449548157540828943874884907631334337492364227515002613 (pp81)
Version: Msieve-1.40
Total time: 92.94 hours.
Scaled time: 302.41 units (timescale=3.254).
Factorization parameters were as follows:
name: 56669_172
n: 11932629522374285782124749213640542099710079365609160898965555315320358989385675353324614239915648242803796733004156021027609113677873241
m: 10000000000000000000000000000000000
deg: 5
c5: 1700
c0: 7
skew: 0.33
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2700000, 6300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1076420 x 1076667
Total sieving time: 90.35 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.27 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,173.000,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 92.94 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
351e61318118Makoto KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)
1200Andreas TeteJuly 26, 2009 19:32:21 UTC 2009 年 7 月 27 日 (月) 4 時 32 分 21 秒 (日本時間)
403e62500Andreas TeteJuly 26, 2009 20:12:31 UTC 2009 年 7 月 27 日 (月) 5 時 12 分 31 秒 (日本時間)
4511e60--
5043e67451JMBJune 1, 2010 06:28:48 UTC 2010 年 6 月 1 日 (火) 15 時 28 分 48 秒 (日本時間)

17×10173+73

c168

name 名前Serge Batalov
date 日付March 29, 2009 19:49:11 UTC 2009 年 3 月 30 日 (月) 4 時 49 分 11 秒 (日本時間)
composite number 合成数
637534347162953404114646676589701270155929650709931997586369965681901112422431758510989779574374569429928037373013471100755553205428942484276340387838394793519500863109<168>
prime factors 素因数
7509372153663948212960430553<28>
84898488730764227478927360584223002525621599992773503802613527890415688576632781607023486143938568208272345414025486917663448442946997504653<140>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1914745003
Step 1 took 9889ms
Step 2 took 8913ms
********** Factor found in step 2: 7509372153663948212960430553
Found probable prime factor of 28 digits: 7509372153663948212960430553
Probable prime cofactor  has 140 digits
software ソフトウェア
GMP-ECM 6.2.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10175+73

c147

name 名前Wataru Sakai
date 日付June 28, 2010 01:59:09 UTC 2010 年 6 月 28 日 (月) 10 時 59 分 9 秒 (日本時間)
composite number 合成数
341650307414736714256380219532004651458659341858759153280065137617779238698737536679845351235268832189259421201290441487574916875137132624882966251<147>
prime factors 素因数
3362430737615730215991085344016157831<37>
101608132352786518372927956587805706707814182881215772784308390106528107132748119483258654842127805271572477821<111>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3088401701
Step 1 took 13322ms
Step 2 took 5814ms
********** Factor found in step 2: 3362430737615730215991085344016157831
Found probable prime factor of 37 digits: 3362430737615730215991085344016157831
Probable prime cofactor 101608132352786518372927956587805706707814182881215772784308390106528107132748119483258654842127805271572477821 has 111 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 KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 21, 2010 20:29:28 UTC 2010 年 6 月 22 日 (火) 5 時 29 分 28 秒 (日本時間)
403e6110 / 2126Ignacio SantosJune 21, 2010 20:29:28 UTC 2010 年 6 月 22 日 (火) 5 時 29 分 28 秒 (日本時間)
4511e632 / 4437Ignacio SantosJune 21, 2010 20:29:28 UTC 2010 年 6 月 22 日 (火) 5 時 29 分 28 秒 (日本時間)

17×10176+73

c177

name 名前Jo Yeong Uk
date 日付March 30, 2009 15:13:54 UTC 2009 年 3 月 31 日 (火) 0 時 13 分 54 秒 (日本時間)
composite number 合成数
566666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669<177>
prime factors 素因数
1332900038363680881394620148129664059<37>
425138157668843915788962204505688086610791867911821343666941015479820678943431096734573619034309056634425509765000685116141894382558408244791<141>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 566666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669 (177 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3212400340
Step 1 took 19100ms
Step 2 took 7720ms
********** Factor found in step 2: 1332900038363680881394620148129664059
Found probable prime factor of 37 digits: 1332900038363680881394620148129664059
Probable prime cofactor 425138157668843915788962204505688086610791867911821343666941015479820678943431096734573619034309056634425509765000685116141894382558408244791 has 141 digits
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)
786Jo Yeong UkMarch 30, 2009 00:13:36 UTC 2009 年 3 月 30 日 (月) 9 時 13 分 36 秒 (日本時間)

17×10177+73

c166

name 名前Wataru Sakai
date 日付December 2, 2011 05:55:23 UTC 2011 年 12 月 2 日 (金) 14 時 55 分 23 秒 (日本時間)
composite number 合成数
4444143453905149828338014713565546168956095662663020938970248666523888960428624512333025732118538563902949325615607765463967819212848924515291623236183168274903968241<166>
prime factors 素因数
35874751213845534427557324813609169588404599<44>
composite cofactor 合成数の残り
123879422254779930645025578396011715535155888526952481701172242600777018230449287128967398688770996791817686717888802163159<123>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3314608363
Step 1 took 23005ms
Step 2 took 9321ms
********** Factor found in step 2: 35874751213845534427557324813609169588404599
Found probable prime factor of 44 digits: 35874751213845534427557324813609169588404599
Composite cofactor 123879422254779930645025578396011715535155888526952481701172242600777018230449287128967398688770996791817686717888802163159 has 123 digits
software ソフトウェア
GMP-ECM 6.3

c123

name 名前Warut Roonguthai
date 日付December 4, 2011 03:37:50 UTC 2011 年 12 月 4 日 (日) 12 時 37 分 50 秒 (日本時間)
composite number 合成数
123879422254779930645025578396011715535155888526952481701172242600777018230449287128967398688770996791817686717888802163159<123>
prime factors 素因数
276054486528726654388228441487846831605628929758863<51>
448749896487876307208160761381881638186439299324047651446917154964110393<72>
factorization results 素因数分解の結果
N = 123879422254779930645025578396011715535155888526952481701172242600777018230449287128967398688770996791817686717888802163159 (123 digits)
Divisors found:
r1=276054486528726654388228441487846831605628929758863 (pp51)
r2=448749896487876307208160761381881638186439299324047651446917154964110393 (pp72)
Version: Msieve v. 1.48
Total time: 17.44 hours.
Factorization parameters were as follows:
n: 123879422254779930645025578396011715535155888526952481701172242600777018230449287128967398688770996791817686717888802163159
Y0: -778938785664815883457739
Y1: 10121849854033
c0: 14040146224609356489045686456880
c1: -167352244966337351682941852
c2: -666119364005110173584
c3: 34769452923145
c4: -93505296
c5: 432
skew: 736528.42 
type: gnfs
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10934911
Relations: 1340662 relations
Pruned matrix : 781688 x 781923
Polynomial selection time: 0.00 hours.
Total sieving time: 16.61 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.73 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: gnfs,122,5,65,2000,1e-05,0.28,250,20,50000,3600,4900000,4900000,27,27,53,53,2.5,2.5,100000
total time: 17.44 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62318300Dmitry DomanovMay 23, 2011 06:11:18 UTC 2011 年 5 月 23 日 (月) 15 時 11 分 18 秒 (日本時間)
2018Wataru SakaiDecember 2, 2011 05:55:04 UTC 2011 年 12 月 2 日 (金) 14 時 55 分 4 秒 (日本時間)

17×10178+73

c169

name 名前matsui
date 日付August 29, 2010 05:59:51 UTC 2010 年 8 月 29 日 (日) 14 時 59 分 51 秒 (日本時間)
composite number 合成数
8174277056679591650348714401988644007828491866002823490790166746048201137675310420872345134898663527478468645413327152506643990002701636553578927257366154671530056085933<169>
prime factors 素因数
11710955439085450767528206458166257593709919023360247978843119295353795708612921<80>
698002575383204546624827677856180469295705796721785715817049701210595816089266314011338773<90>
factorization results 素因数分解の結果
N=8174277056679591650348714401988644007828491866002823490790166746048201137675310420872345134898663527478468645413327152506643990002701636553578927257366154671530056085933
  ( 169 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=11710955439085450767528206458166257593709919023360247978843119295353795708612921 (pp80)
 r2=698002575383204546624827677856180469295705796721785715817049701210595816089266314011338773 (pp90)
Version: Msieve v. 1.47
Total time:
Scaled time: 411.79 units (timescale=1.871).
Factorization parameters were as follows:
n: 8174277056679591650348714401988644007828491866002823490790166746048201137675310420872345134898663527478468645413327152506643990002701636553578927257366154671530056085933
m: 100000000000000000000000000000000000
deg: 5
c5: 17000
c0: 7
skew: 0.21
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 1600000
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3400000, 9800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1441540 x 1441771
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10179+73

c163

name 名前Ben Meekins
date 日付November 23, 2013 03:11:33 UTC 2013 年 11 月 23 日 (土) 12 時 11 分 33 秒 (日本時間)
composite number 合成数
3303949747324934706598276366955490701015885576632365191581634313284155499579972570139154258349032322678920561958862851673218049793631685980521675723681130558701349<163>
prime factors 素因数
884286918403231211878469581522959483576221745421027315154049863<63>
3736287033727606448727856525335589847630181643047681128839102123327240843342879690642216074124521523<100>
factorization results 素因数分解の結果
Number: 56669_179
N = 3303949747324934706598276366955490701015885576632365191581634313284155499579972570139154258349032322678920561958862851673218049793631685980521675723681130558701349 (163 digits)
SNFS difficulty: 181 digits.
Divisors found:
r1=884286918403231211878469581522959483576221745421027315154049863 (pp63)
r2=3736287033727606448727856525335589847630181643047681128839102123327240843342879690642216074124521523 (pp100)
Version: Msieve v. 1.52 (SVN 945M)
Total time: 88.02 hours.
Factorization parameters were as follows:
n: 3303949747324934706598276366955490701015885576632365191581634313284155499579972570139154258349032322678920561958862851673218049793631685980521675723681130558701349
m: 500000000000000000000000000000000000
deg: 5
c5: 272
c0: 35
skew: 0.66
# Murphy_E = 1e-10
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 18914764
Relations: 2320912 relations
Pruned matrix : 1388652 x 1388877
Polynomial selection time: 0.00 hours.
Total sieving time: 85.21 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 2.52 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: snfs,181,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,400000
total time: 88.02 hours.
x86 Family 16 Model 4 Stepping 3, AuthenticAMD
Windows-XP-5.1.2600-SP3
processors: 4, speed: 3.20GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62318300Dmitry DomanovMay 23, 2011 06:11:28 UTC 2011 年 5 月 23 日 (月) 15 時 11 分 28 秒 (日本時間)
2018Wataru SakaiMay 15, 2012 03:00:31 UTC 2012 年 5 月 15 日 (火) 12 時 0 分 31 秒 (日本時間)
4511e6850 / 3963Serge BatalovNovember 8, 2013 17:05:25 UTC 2013 年 11 月 9 日 (土) 2 時 5 分 25 秒 (日本時間)

17×10180+73

c179

name 名前Sinkiti Sibata
date 日付April 13, 2009 03:10:20 UTC 2009 年 4 月 13 日 (月) 12 時 10 分 20 秒 (日本時間)
composite number 合成数
23709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902371<179>
prime factors 素因数
554926436167528943257699327435205874475108632793<48>
3523835766306910904207910803375786328587724571921<49>
12124914694059309969702016472528715477560656576791053322559643089873095090003003307<83>
factorization results 素因数分解の結果
Number: 56669_180
N=23709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902371
  ( 179 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=554926436167528943257699327435205874475108632793 (pp48)
 r2=3523835766306910904207910803375786328587724571921 (pp49)
 r3=12124914694059309969702016472528715477560656576791053322559643089873095090003003307 (pp83)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 266.79 hours.
Scaled time: 678.70 units (timescale=2.544).
Factorization parameters were as follows:
name: 56669_180
n: 23709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902370990237099023709902371
m: 1000000000000000000000000000000000000
deg: 5
c5: 17
c0: 7
skew: 0.84
type: snfs
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved algebraic special-q in [3000000, 6300001)
Primes: RFBsize:412849, AFBsize:413446, largePrimes:18103909 encountered
Relations: rels:19163581, finalFF:1171199
Max relations in full relation-set: 28
Initial matrix: 826360 x 1171199 with sparse part having weight 155619666.
Pruned matrix : 656224 x 660419 with weight 152393023.
Total sieving time: 254.35 hours.
Total relation processing time: 0.44 hours.
Matrix solve time: 11.67 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,53,53,2.5,2.5,100000
total time: 266.79 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista 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 KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10181+73

c138

name 名前Dmitry Domanov
date 日付January 13, 2014 08:09:15 UTC 2014 年 1 月 13 日 (月) 17 時 9 分 15 秒 (日本時間)
composite number 合成数
154756175617295909832747418002529631215570468826080579013886568577048490444596969102948108468696150950452096196087514448653778484111781843<138>
prime factors 素因数
320801376174706486530449376581851469362059241<45>
482404961794854127660327707672694421121528140601519607570231100133830727630294625278297567323<93>
factorization results 素因数分解の結果
N=154756175617295909832747418002529631215570468826080579013886568577048490444596969102948108468696150950452096196087514448653778484111781843
  ( 138 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=320801376174706486530449376581851469362059241 (pp45)
 r2=482404961794854127660327707672694421121528140601519607570231100133830727630294625278297567323 (pp93)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 158.09 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 154756175617295909832747418002529631215570468826080579013886568577048490444596969102948108468696150950452096196087514448653778484111781843
m: 1000000000000000000000000000000000000
deg: 5
c5: 170
c0: 7
skew: 0.53
# Murphy_E = 7.285e-11
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3800000, 11800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1555253 x 1555482
Total sieving time: 155.41 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.29 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000
total time: 158.09 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
351e6118Makoto KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovMay 23, 2011 06:11:36 UTC 2011 年 5 月 23 日 (月) 15 時 11 分 36 秒 (日本時間)
4511e62300 / 4409600Rich DickersonMay 5, 2012 03:47:31 UTC 2012 年 5 月 5 日 (土) 12 時 47 分 31 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:44:56 UTC 2013 年 11 月 8 日 (金) 10 時 44 分 56 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:05:57 UTC 2013 年 11 月 9 日 (土) 2 時 5 分 57 秒 (日本時間)

17×10184+73

c179

name 名前Wataru Sakai
date 日付December 11, 2009 01:56:59 UTC 2009 年 12 月 11 日 (金) 10 時 56 分 59 秒 (日本時間)
composite number 合成数
23794517267331261530718091937255817514528302388563627169027712634454768932142655689276077006336200012793052224906337081809609429795186593105216695968914842641958439936269884693169<179>
prime factors 素因数
1909371924869851302649714847256763860533<40>
composite cofactor 合成数の残り
12461960374196436055720590007683928054218374877066989312361949971133799082404460422570765649635829025773078205178509197929750407572765729293<140>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1534556179
Step 1 took 21297ms
Step 2 took 8517ms
********** Factor found in step 2: 1909371924869851302649714847256763860533
Found probable prime factor of 40 digits: 1909371924869851302649714847256763860533
Composite cofactor 12461960374196436055720590007683928054218374877066989312361949971133799082404460422570765649635829025773078205178509197929750407572765729293 has 140 digits
software ソフトウェア
GMP-ECM 6.2.1

c140

name 名前Wataru Sakai
date 日付December 12, 2009 07:55:58 UTC 2009 年 12 月 12 日 (土) 16 時 55 分 58 秒 (日本時間)
composite number 合成数
12461960374196436055720590007683928054218374877066989312361949971133799082404460422570765649635829025773078205178509197929750407572765729293<140>
prime factors 素因数
5124172426862591527993743217843926217<37>
2431994737114378672034241234074769137183424168356159641033087179976549773766608679855816455013117557029<103>
factorization results 素因数分解の結果
********** Factor found in step 2: 5124172426862591527993743217843926217
Found probable prime factor of 37 digits: 5124172426862591527993743217843926217
Probable prime cofactor 2431994737114378672034241234074769137183424168356159641033087179976549773766608679855816455013117557029 has 103 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10186+73

c134

name 名前Dmitry Domanov
date 日付May 22, 2011 04:03:13 UTC 2011 年 5 月 22 日 (日) 13 時 3 分 13 秒 (日本時間)
composite number 合成数
24974893837724204194028490014555006343447161939764176377728349833270418673248651175846708786856544930046753467028113272812721463796713<134>
prime factors 素因数
7448704000548871866037195876094639<34>
3352918015789576525799969089981101172451534770425292982169845160092290224867438420677824398229928167<100>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1896494778
Step 1 took 38382ms
Step 2 took 17907ms
********** Factor found in step 2: 7448704000548871866037195876094639
Found probable prime factor of 34 digits: 7448704000548871866037195876094639
Probable prime cofactor 3352918015789576525799969089981101172451534770425292982169845160092290224867438420677824398229928167 has 100 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10188+73

c162

name 名前Dmitry Domanov
date 日付November 5, 2013 06:03:44 UTC 2013 年 11 月 5 日 (火) 15 時 3 分 44 秒 (日本時間)
composite number 合成数
209634432587682585816059093805197994327208554076488522198075303874133365003554481682444069053385925420127365733454555365745808309724633555322745946256488516909159<162>
prime factors 素因数
61289270164971051877970129957310645173<38>
3420410000370602394203628380590050694195066807606076679864339439646474740468077771851897366599478341652510529632974230672683<124>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2586134182
Step 1 took 19523ms
Step 2 took 2635ms
********** Factor found in step 2: 61289270164971051877970129957310645173
Found probable prime factor of 38 digits: 61289270164971051877970129957310645173

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 23, 2011 06:11:45 UTC 2011 年 5 月 23 日 (月) 15 時 11 分 45 秒 (日本時間)

17×10189+73

c159

composite cofactor 合成数の残り
707176312984977321013947639785575198586400207318189483728493555004947926971071786227065097921624321440128905117916903057453388294702558306935973654394306491531<159>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61800300Dmitry DomanovMay 23, 2011 06:11:53 UTC 2011 年 5 月 23 日 (月) 15 時 11 分 53 秒 (日本時間)
1500Dmitry DomanovNovember 8, 2013 05:59:21 UTC 2013 年 11 月 8 日 (金) 14 時 59 分 21 秒 (日本時間)
4511e61300 / 40771000Dmitry DomanovDecember 24, 2013 11:00:17 UTC 2013 年 12 月 24 日 (火) 20 時 0 分 17 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:27 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 27 秒 (日本時間)

17×10191+73

c170

name 名前Dmitry Domanov
date 日付November 5, 2013 06:11:32 UTC 2013 年 11 月 5 日 (火) 15 時 11 分 32 秒 (日本時間)
composite number 合成数
10867939028728936324365489103610838642381156651036400274479045260318067086921909397357432432440123423901504871698044498983134967540116329347110114299630552792830950523609<170>
prime factors 素因数
254920505937849132631186234616804181941351<42>
42632659105810001279499017444735452277945872075574595680534027948314461876106541672292383762871568568647832788061103383391968959<128>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3684943462
Step 1 took 19496ms
Step 2 took 8227ms
********** Factor found in step 2: 254920505937849132631186234616804181941351
Found probable prime factor of 42 digits: 254920505937849132631186234616804181941351

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 23, 2011 06:12:02 UTC 2011 年 5 月 23 日 (月) 15 時 12 分 2 秒 (日本時間)

17×10193+73

c147

composite cofactor 合成数の残り
120736067213226972002335318382198710184442014947714854887588434675373272751427722466913879529586201558068636533021081067532432732805386918801029407<147>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61800300Dmitry DomanovMay 23, 2011 06:12:14 UTC 2011 年 5 月 23 日 (月) 15 時 12 分 14 秒 (日本時間)
1500Dmitry DomanovNovember 8, 2013 05:59:30 UTC 2013 年 11 月 8 日 (金) 14 時 59 分 30 秒 (日本時間)
4511e61300 / 40771000Dmitry DomanovDecember 24, 2013 11:00:28 UTC 2013 年 12 月 24 日 (火) 20 時 0 分 28 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:28 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 28 秒 (日本時間)

17×10194+73

c183

name 名前Serge Batalov
date 日付March 29, 2009 20:18:06 UTC 2009 年 3 月 30 日 (月) 5 時 18 分 6 秒 (日本時間)
composite number 合成数
963596188351938526597826138220892507715765046513610324896467168911049552675947976087688270248678846052936081726339472717006963485988883327034910500234704198573452966600735861178975221<183>
prime factors 素因数
159720630294001366032944725330382413<36>
composite cofactor 合成数の残り
6033010178949490073361316871767491374941752999300200709376915162995870293743735197054524436589368399019120045621934770911807822296559368927412793417<148>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3496528567
Step 1 took 11805ms
Step 2 took 9992ms
********** Factor found in step 2: 159720630294001366032944725330382413
Found probable prime factor of 36 digits: 159720630294001366032944725330382413
Composite cofactor  has 148 digits
software ソフトウェア
GMP-ECM 6.2.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61800300Dmitry DomanovMay 23, 2011 06:12:22 UTC 2011 年 5 月 23 日 (月) 15 時 12 分 22 秒 (日本時間)
1500Dmitry DomanovNovember 8, 2013 05:59:40 UTC 2013 年 11 月 8 日 (金) 14 時 59 分 40 秒 (日本時間)
4511e61300 / 40771000Dmitry DomanovDecember 24, 2013 11:00:39 UTC 2013 年 12 月 24 日 (火) 20 時 0 分 39 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:28 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 28 秒 (日本時間)

17×10195+73

c136

name 名前Erik Branger
date 日付May 8, 2009 07:34:17 UTC 2009 年 5 月 8 日 (金) 16 時 34 分 17 秒 (日本時間)
composite number 合成数
7094664169103283184013610577645367109734157140915973908954192728000319531155523620156101021461377924560117765256610115908031581345613811<136>
prime factors 素因数
335892581501510072078226020862078769<36>
composite cofactor 合成数の残り
21121824535060140072018908089763071056280643107380669147641248739488560912123500709369953560150558819<101>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 7094664169103283184013610577645367109734157140915973908954192728000319531155523620156101021461377924560117765256610115908031581345613811 (136 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2576663519
Step 1 took 42728ms
Step 2 took 33806ms
********** Factor found in step 2: 335892581501510072078226020862078769
Found probable prime factor of 36 digits: 335892581501510072078226020862078769
Composite cofactor 21121824535060140072018908089763071056280643107380669147641248739488560912123500709369953560150558819 has 101 digits
software ソフトウェア
GMP-ECM

c101

name 名前Erik Branger
date 日付May 8, 2009 19:43:18 UTC 2009 年 5 月 9 日 (土) 4 時 43 分 18 秒 (日本時間)
composite number 合成数
21121824535060140072018908089763071056280643107380669147641248739488560912123500709369953560150558819<101>
prime factors 素因数
1817044992552857656312895051970666530297885113571<49>
11624271617724242080352063449012326368972889922281089<53>
factorization results 素因数分解の結果
Number: 56669_195
N=21121824535060140072018908089763071056280643107380669147641248739488560912123500709369953560150558819
  ( 101 digits)
Divisors found:
 r1=1817044992552857656312895051970666530297885113571 (pp49)
 r2=11624271617724242080352063449012326368972889922281089 (pp53)
Version: Msieve v. 1.41
Total time: 6.71 hours.
Scaled time: 5.91 units (timescale=0.881).
Factorization parameters were as follows:
name: 56669_195
n: 21121824535060140072018908089763071056280643107380669147641248739488560912123500709369953560150558819
skew: 2574.59
# norm 1.43e+014
c5: 239400
c4: 1890051466
c3: -14769154005126
c2: -13446007784640866
c1: -22632029745018180231
c0: 93555121878115727758
# alpha -6.36
Y1: 56816630959
Y0: -9752533754254193499
# Murphy_E 3.38e-009
# M 7779123482036425925845383173131339324755063127238206233705787903788991635177672816341387515450557856
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 193882 x 194130
Polynomial selection time: 0.43 hours.
Total sieving time: 5.98 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 6.71 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 KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)
403e6500 / 2318Erik BrangerMay 8, 2009 07:33:02 UTC 2009 年 5 月 8 日 (金) 16 時 33 分 2 秒 (日本時間)

17×10196+73

c137

name 名前Wataru Sakai
date 日付August 4, 2010 04:27:12 UTC 2010 年 8 月 4 日 (水) 13 時 27 分 12 秒 (日本時間)
composite number 合成数
39688122813449770624655687326308901751486249521915691741113265342395973198339445933497456562808456736187201433958517028649860898911097567<137>
prime factors 素因数
7089379758291931728526535615850499934564661927547<49>
5598250364149199484754883978347477114287657407541062127915849069633801698559290993287661<88>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=469680236
Step 1 took 48913ms
Step 2 took 18309ms
********** Factor found in step 2: 7089379758291931728526535615850499934564661927547
Found probable prime factor of 49 digits: 7089379758291931728526535615850499934564661927547
Probable prime cofactor 5598250364149199484754883978347477114287657407541062127915849069633801698559290993287661 has 88 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
351e6118Makoto KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiApril 25, 2009 06:00:14 UTC 2009 年 4 月 25 日 (土) 15 時 0 分 14 秒 (日本時間)

17×10197+73

c195

name 名前Robert Backstrom
date 日付March 25, 2010 11:21:56 UTC 2010 年 3 月 25 日 (木) 20 時 21 分 56 秒 (日本時間)
composite number 合成数
144226690421650971409179604649189785356748960719436667515058963264613557308899635191312462882837023839823534402307627046746415542546873674387036565707983371510986680240943412233816916942394163061<195>
prime factors 素因数
37763435396077179794724099889424432792995609691<47>
167405001725445866206012811888677852009816020455503<51>
22814224576961555468207883927211834283344960374683560339329050612768217542071134046199699489253857<98>
factorization results 素因数分解の結果
Number: n
N=144226690421650971409179604649189785356748960719436667515058963264613557308899635191312462882837023839823534402307627046746415542546873674387036565707983371510986680240943412233816916942394163061
  ( 195 digits)
SNFS difficulty: 198 digits.
Divisors found:

Thu Mar 25 22:06:08 2010  prp47 factor: 37763435396077179794724099889424432792995609691
Thu Mar 25 22:06:08 2010  prp51 factor: 167405001725445866206012811888677852009816020455503
Thu Mar 25 22:06:08 2010  prp98 factor: 22814224576961555468207883927211834283344960374683560339329050612768217542071134046199699489253857
Thu Mar 25 22:06:08 2010  elapsed time 05:09:56 (Msieve 1.42 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.076).
Factorization parameters were as follows:
name: KA_5_6_196_9
n: 144226690421650971409179604649189785356748960719436667515058963264613557308899635191312462882837023839823534402307627046746415542546873674387036565707983371510986680240943412233816916942394163061
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1700
c0: 7
skew: 0.33
type: snfs
lss: 1
rlim: 14100000
alim: 14100000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 14100000/14100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 16650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4866841 hash collisions in 32509255 relations
Msieve: matrix is 1880824 x 1881049 (532.2 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,198,5,0,0,0,0,0,0,0,0,14100000,14100000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6060216k/7077888k available (3972k kernel code, 787972k absent, 229700k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.44 BogoMIPS (lpj=2798222)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.21 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)
786Wataru SakaiSeptember 5, 2009 05:13:28 UTC 2009 年 9 月 5 日 (土) 14 時 13 分 28 秒 (日本時間)

17×10198+73

c157

name 名前Dmitry Domanov
date 日付November 5, 2013 06:08:49 UTC 2013 年 11 月 5 日 (火) 15 時 8 分 49 秒 (日本時間)
composite number 合成数
1078483889029035898865007451133558136420219807691259972411710742056922568755154529418341424913500553502841793861059053214017116877970382368001183529520405347<157>
prime factors 素因数
6194729546558462879420980112049507551<37>
174097009550351914849025766768449171135728916023323303229507438804259749468430451693138261763572894278419201781582527997<120>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2146642698
Step 1 took 19473ms
Step 2 took 7967ms
********** Factor found in step 2: 6194729546558462879420980112049507551
Found probable prime factor of 37 digits: 6194729546558462879420980112049507551

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 23, 2011 06:12:31 UTC 2011 年 5 月 23 日 (月) 15 時 12 分 31 秒 (日本時間)

17×10199+73

c168

name 名前Serge Batalov
date 日付March 29, 2009 19:48:14 UTC 2009 年 3 月 30 日 (月) 4 時 48 分 14 秒 (日本時間)
composite number 合成数
288381298544941581981052740589310864140661988677928224504223051745791623256681690057713372603931258587026965954501113855172710756819232359604458499970157783446943506253<168>
prime factors 素因数
139439575860152525764642907000219<33>
composite cofactor 合成数の残り
2068145264829021522693134837565772375255413534314070907056190048608030188897413343095857160841289014207680735432647902934113992020248887<136>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1353002088
Step 1 took 9940ms
Step 2 took 8913ms
********** Factor found in step 2: 139439575860152525764642907000219
Found probable prime factor of 33 digits: 139439575860152525764642907000219
Composite cofactor  has 136 digits
software ソフトウェア
GMP-ECM 6.2.2

c136

name 名前Robert Backstrom
date 日付May 3, 2012 07:21:49 UTC 2012 年 5 月 3 日 (木) 16 時 21 分 49 秒 (日本時間)
composite number 合成数
2068145264829021522693134837565772375255413534314070907056190048608030188897413343095857160841289014207680735432647902934113992020248887<136>
prime factors 素因数
29921393110326822764139764034785970645692623317896717<53>
69119283891739617175741702259058623156759270256543844035388136486772148595709405011<83>
factorization results 素因数分解の結果
Number: n
N=2068145264829021522693134837565772375255413534314070907056190048608030188897413343095857160841289014207680735432647902934113992020248887
  ( 136 digits)
Divisors found:

Thu May  3 16:18:38 2012  prp53 factor: 29921393110326822764139764034785970645692623317896717
Thu May  3 16:18:38 2012  prp83 factor: 69119283891739617175741702259058623156759270256543844035388136486772148595709405011
Thu May  3 16:18:38 2012  elapsed time 05:23:35 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.084).
Factorization parameters were as follows:
name: KA_56669_199
# Murphy_E = 4.118e-11, selected by Erik Branger
n: 2068145264829021522693134837565772375255413534314070907056190048608030188897413343095857160841289014207680735432647902934113992020248887
Y0: -259662868240970449506993688
Y1: 184805258564827
c0: 13261431007138990032097600184829
c1: -258888327610179760427621139
c2: 1986661714798374734916
c3: -7482703606874977
c4: -13104290293
c5: 1752
skew: 489156.07
type: gnfs
# selected mechanically
rlim: 13600000
alim: 13600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 13600000/13600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 12400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1939093 hash collisions in 21361603 relations (20133095 unique)
Msieve: matrix is 1849158 x 1849395 (540.1 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:
gnfs,135,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,13600000,13600000,28,28,55,55,2.6,2.6,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.55 BogoMIPS (lpj=2830779)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830450)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830462)
Total of 4 processors activated (22644.29 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62318500Erik BrangerMay 9, 2009 08:47:06 UTC 2009 年 5 月 9 日 (土) 17 時 47 分 6 秒 (日本時間)
1818Wataru SakaiNovember 30, 2009 15:08:53 UTC 2009 年 12 月 1 日 (火) 0 時 8 分 53 秒 (日本時間)
4511e64000Wataru SakaiAugust 16, 2010 06:41:20 UTC 2010 年 8 月 16 日 (月) 15 時 41 分 20 秒 (日本時間)

17×10200+73

c155

name 名前Serge Batalov
date 日付March 29, 2009 19:36:23 UTC 2009 年 3 月 30 日 (月) 4 時 36 分 23 秒 (日本時間)
composite number 合成数
19031678160224458823182672624571124324879664876371661872462496932283447156594417184227927872715601787381412228906016912216316686954344162774875808975280699<155>
prime factors 素因数
16235484672840827305747235427721<32>
composite cofactor 合成数の残り
1172227287557431664659229679610875208906271615395435937554333020682862854689618819963973299985339269262349249624933994874019<124>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1267963406
Step 1 took 10029ms
Step 2 took 8524ms
********** Factor found in step 2: 16235484672840827305747235427721
Found probable prime factor of 32 digits: 16235484672840827305747235427721
Composite cofactor has 124 digits
software ソフトウェア
GMP-ECM 6.2.2

c124

name 名前Max Dettweiler
date 日付April 6, 2009 21:20:36 UTC 2009 年 4 月 7 日 (火) 6 時 20 分 36 秒 (日本時間)
composite number 合成数
1172227287557431664659229679610875208906271615395435937554333020682862854689618819963973299985339269262349249624933994874019<124>
prime factors 素因数
100034433648149700990445975108099542857<39>
11718237858780679052337995092680150045988631324939268850238847645056920552478961481867<86>
factorization results 素因数分解の結果
P39=100034433648149700990445975108099542857
P86=11718237858780679052337995092680150045988631324939268850238847645056920552478961481867

B1=1000000
B2=900000000
Method=ECM

Found by the ECM "workers" at http://factorization.ath.cx/
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10201+73

c175

name 名前Dmitry Domanov
date 日付November 5, 2013 06:10:29 UTC 2013 年 11 月 5 日 (火) 15 時 10 分 29 秒 (日本時間)
composite number 合成数
3127066112778357291863653881195921688017232670303708283474016138034604238747073349339034357915464516185956411462772844063558187380466629023453068964959094702461774578626083091<175>
prime factors 素因数
152661280126979395510370166210167<33>
composite cofactor 合成数の残り
20483688530433852673359352557104209229915989000693858367356670982779091972126720998857265447829717309704922527661644671903765401079994640872773<143>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3618889906
Step 1 took 23142ms
********** Factor found in step 1: 152661280126979395510370166210167
Found probable prime factor of 33 digits: 152661280126979395510370166210167

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61800300Dmitry DomanovMay 23, 2011 06:12:46 UTC 2011 年 5 月 23 日 (月) 15 時 12 分 46 秒 (日本時間)
1500Dmitry DomanovNovember 8, 2013 05:59:52 UTC 2013 年 11 月 8 日 (金) 14 時 59 分 52 秒 (日本時間)
4511e61800 / 40771500Dmitry DomanovDecember 24, 2013 11:00:55 UTC 2013 年 12 月 24 日 (火) 20 時 0 分 55 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:28 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 28 秒 (日本時間)

17×10202+73

c185

name 名前Dmitry Domanov
date 日付May 22, 2011 19:15:14 UTC 2011 年 5 月 23 日 (月) 4 時 15 分 14 秒 (日本時間)
composite number 合成数
35194479577658411415654938802021446676310302905024446667517128258080958258289694748027642061234281691863529660323675080990814460791643279953050079682113797981230611695227439755913679629<185>
prime factors 素因数
5240037249046591801046186601346703<34>
composite cofactor 合成数の残り
6716455991617604555382812971895505716025585102239331572646736378935098258510236356667983857970071359761890023939691526850610675303259458386562356103843<151>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=745642261
Step 1 took 69268ms
Step 2 took 26971ms
********** Factor found in step 2: 5240037249046591801046186601346703
Found probable prime factor of 34 digits: 5240037249046591801046186601346703
Composite cofactor 6716455991617604555382812971895505716025585102239331572646736378935098258510236356667983857970071359761890023939691526850610675303259458386562356103843 has 151 digits

c151

name 名前Dmitry Domanov
date 日付March 17, 2014 05:45:47 UTC 2014 年 3 月 17 日 (月) 14 時 45 分 47 秒 (日本時間)
composite number 合成数
6716455991617604555382812971895505716025585102239331572646736378935098258510236356667983857970071359761890023939691526850610675303259458386562356103843<151>
prime factors 素因数
8260219959557651775860714064750140307623<40>
813108612664266352808746474942305335262762583381861587685975455920320012152870506119208505912381513346113823141<111>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1306937989
Step 1 took 60440ms
Step 2 took 23811ms
********** Factor found in step 2: 8260219959557651775860714064750140307623
Found probable prime factor of 40 digits: 8260219959557651775860714064750140307623

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62100300Dmitry DomanovMay 23, 2011 16:10:01 UTC 2011 年 5 月 24 日 (火) 1 時 10 分 1 秒 (日本時間)
1500Dmitry DomanovNovember 8, 2013 06:00:02 UTC 2013 年 11 月 8 日 (金) 15 時 0 分 2 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:43 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 43 秒 (日本時間)
4511e61500 / 4011Dmitry DomanovMarch 14, 2014 12:30:17 UTC 2014 年 3 月 14 日 (金) 21 時 30 分 17 秒 (日本時間)

17×10203+73

c178

composite cofactor 合成数の残り
1791744078737871787793360062665835094161368483022508379991182631926124143308115322292615780141458106095083852594148695803537667133160463439264841637536067860983874163126297639203<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 29, 2009 14:00:00 UTC 2009 年 3 月 29 日 (日) 23 時 0 分 0 秒 (日本時間)
403e63400300Dmitry DomanovMay 23, 2011 06:12:53 UTC 2011 年 5 月 23 日 (月) 15 時 12 分 53 秒 (日本時間)
1500Dmitry DomanovNovember 8, 2013 06:00:11 UTC 2013 年 11 月 8 日 (金) 15 時 0 分 11 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:44 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 44 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:32 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 32 秒 (日本時間)

17×10207+73

c194

name 名前Dmitry Domanov
date 日付November 5, 2013 06:09:23 UTC 2013 年 11 月 5 日 (火) 15 時 9 分 23 秒 (日本時間)
composite number 合成数
98193694140242921391809323376538388334512265674702541493083464762841028557630290374766157548008665151059590121532310774347631635487768111683869518660645371448348065158347250431644211082070204251<194>
prime factors 素因数
147998720945030261161970498557519<33>
663476640292817523969269599527552870144975802714614220023620936219005998084052610109470272202216904825959590291275317241551871738000232094975686360371323519659829<162>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1930746501
Step 1 took 27086ms
Step 2 took 9991ms
********** Factor found in step 2: 147998720945030261161970498557519
Found probable prime factor of 33 digits: 147998720945030261161970498557519

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 13, 2013 12:00:00 UTC 2013 年 10 月 13 日 (日) 21 時 0 分 0 秒 (日本時間)

17×10208+73

c203

name 名前Serge Batalov
date 日付January 9, 2014 10:06:21 UTC 2014 年 1 月 9 日 (木) 19 時 6 分 21 秒 (日本時間)
composite number 合成数
42960504386646561150613716076048179447543076118685216507043121985341370485577526905279416384074995899798919568585560772308568624225226256550529260778601018972622281389787479438976246126289225783479563309<203>
prime factors 素因数
143132833099135598842077671621861333147159<42>
composite cofactor 合成数の残り
300144302718381714428785907145590284854740953381358220339204160843012565733358453921628824057711765113470252140967418248815206251174374875543339236864708509109851<162>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1644909771
Step 1 took 18608ms
Step 2 took 7532ms
********** Factor found in step 2: 143132833099135598842077671621861333147159
Found probable prime factor of 42 digits: 143132833099135598842077671621861333147159
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 13, 2013 12:00:00 UTC 2013 年 10 月 13 日 (日) 21 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovNovember 8, 2013 06:00:29 UTC 2013 年 11 月 8 日 (金) 15 時 0 分 29 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:45 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 45 秒 (日本時間)
4511e61300 / 40771000Dmitry DomanovFebruary 20, 2014 11:31:17 UTC 2014 年 2 月 20 日 (木) 20 時 31 分 17 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:29 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 29 秒 (日本時間)

17×10210+73

c187

composite cofactor 合成数の残り
3111590351493337941166096095604905433962714236624758108777905330491325931172381659133628028408968026411725905488497297202173531599828073832170108457692519835186107109997008143681316127809<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 13, 2013 12:00:00 UTC 2013 年 10 月 13 日 (日) 21 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovNovember 8, 2013 06:00:56 UTC 2013 年 11 月 8 日 (金) 15 時 0 分 56 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:45 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 45 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:32 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 32 秒 (日本時間)

17×10212+73

c211

name 名前Robert Backstrom
date 日付January 27, 2014 08:40:02 UTC 2014 年 1 月 27 日 (月) 17 時 40 分 2 秒 (日本時間)
composite number 合成数
2966841186736474694589877835951134380453752181500872600349040139616055846422338568935427574171029668411867364746945898778359511343804537521815008726003490401396160558464223385689354275741710296684118673647469459<211>
prime factors 素因数
57110754019281235026333615347496374570806359367019369941025256481655498606811314287549<86>
51948905905441830280618666348604360934082167982669579285084566622552950347574525051807700440106961004245932273040531800072591<125>
factorization results 素因数分解の結果
Number: n
N=2966841186736474694589877835951134380453752181500872600349040139616055846422338568935427574171029668411867364746945898778359511343804537521815008726003490401396160558464223385689354275741710296684118673647469459
  ( 211 digits)
SNFS difficulty: 213 digits.
Divisors found:

Mon Jan 27 18:41:12 2014  prp86 factor: 57110754019281235026333615347496374570806359367019369941025256481655498606811314287549
Mon Jan 27 18:41:12 2014  prp125 factor: 51948905905441830280618666348604360934082167982669579285084566622552950347574525051807700440106961004245932273040531800072591
Mon Jan 27 18:41:12 2014  elapsed time 40:32:31 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.721).
Factorization parameters were as follows:
#
#  17*10^212+7 - 56(211)9
#
#  c211, diff: 213.23
#
skew: 0.4
n: 2966841186736474694589877835951134380453752181500872600349040139616055846422338568935427574171029668411867364746945898778359511343804537521815008726003490401396160558464223385689354275741710296684118673647469459
m: 100000000000000000000000000000000000
deg: 6
c6: 1700
c0: 7
# Murphy_E = 2.392e-12
type: snfs
lss: 1
rlim: 25000000
alim: 25000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 25000000/25000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 68500000)
Primes: RFBsize:1565927, AFBsize:1564592,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 13073328 hash collisions in 62843662 relations (49832635 unique)
Msieve: matrix is 4511038 x 4511263 (1278.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 38hrs 29min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 1hrs 22min 50sec.

Prototype def-par.txt line would be:
snfs,213,6,0,0,0,0,0,0,0,0,25000000,25000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 13, 2013 12:00:00 UTC 2013 年 10 月 13 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovNovember 8, 2013 06:01:05 UTC 2013 年 11 月 8 日 (金) 15 時 1 分 5 秒 (日本時間)
4511e61250 / 4143850Serge BatalovNovember 8, 2013 17:14:17 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 17 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:32 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 32 秒 (日本時間)

17×10213+73

c184

composite cofactor 合成数の残り
5470964552228089466092741297919555686821109990413102011824118751862441009906858589563143102838644365720313996161527130402463625844838442353594802719975516628204350157644314795356548433<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 13, 2013 12:00:00 UTC 2013 年 10 月 13 日 (日) 21 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovNovember 8, 2013 06:01:14 UTC 2013 年 11 月 8 日 (金) 15 時 1 分 14 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:46 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 46 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:32 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 32 秒 (日本時間)

17×10214+73

c213

name 名前Serge Batalov
date 日付May 24, 2014 17:22:09 UTC 2014 年 5 月 25 日 (日) 2 時 22 分 9 秒 (日本時間)
composite number 合成数
845771144278606965174129353233830845771144278606965174129353233830845771144278606965174129353233830845771144278606965174129353233830845771144278606965174129353233830845771144278606965174129353233830845771144278607<213>
prime factors 素因数
163637752163699260684317654427023658375961<42>
composite cofactor 合成数の残り
5168557579747966169597961141763103801831419018686419949150525644210977159988386011255413578580431807897149405124840840839183390417636235624130896497907345794455360160370087<172>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1431795778
Step 1 took 78317ms
Step 2 took 37194ms
********** Factor found in step 2: 163637752163699260684317654427023658375961
Found probable prime factor of 42 digits: 163637752163699260684317654427023658375961
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 13, 2013 12:00:00 UTC 2013 年 10 月 13 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovNovember 8, 2013 06:01:25 UTC 2013 年 11 月 8 日 (金) 15 時 1 分 25 秒 (日本時間)
4511e63350 / 4143850Serge BatalovNovember 8, 2013 17:14:29 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 29 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:43 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 43 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:15 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 15 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:29 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 29 秒 (日本時間)

17×10215+73

c198

name 名前Dmitry Domanov
date 日付November 5, 2013 06:07:44 UTC 2013 年 11 月 5 日 (火) 15 時 7 分 44 秒 (日本時間)
composite number 合成数
492055578001066114951100995088200611441097138472092873795917576787023189411148180948557976647383369706428208559282040378285144813770527189585829611904700687029710753794547895466910077382401652649193<198>
prime factors 素因数
9108213316958610106522356749263<31>
composite cofactor 合成数の残り
54023282160608418789961596862706800116758885717278012261912304890764667780333437572278109254682978542554770985180967782053623696233044593314166181886041501650905287111<167>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3711177760
Step 1 took 26787ms
Step 2 took 9960ms
********** Factor found in step 2: 9108213316958610106522356749263
Found probable prime factor of 31 digits: 9108213316958610106522356749263

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 13, 2013 12:00:00 UTC 2013 年 10 月 13 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovNovember 8, 2013 06:07:25 UTC 2013 年 11 月 8 日 (金) 15 時 7 分 25 秒 (日本時間)
4511e61800 / 41431500Dmitry DomanovDecember 31, 2013 07:18:19 UTC 2013 年 12 月 31 日 (火) 16 時 18 分 19 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:30 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 30 秒 (日本時間)

17×10216+73

c206

composite cofactor 合成数の残り
25858973698778437698703923295411752910824026891650255816268281782828973812994527927491424168100720534369977077981492988865311664229618652743506843111101128535214137481968006561169456730529517154284705176407<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 13, 2013 12:00:00 UTC 2013 年 10 月 13 日 (日) 21 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovNovember 8, 2013 06:07:35 UTC 2013 年 11 月 8 日 (金) 15 時 7 分 35 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:47 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 47 秒 (日本時間)
4511e61800 / 40771500Dmitry DomanovJanuary 10, 2014 08:06:09 UTC 2014 年 1 月 10 日 (金) 17 時 6 分 9 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:30 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 30 秒 (日本時間)

17×10217+73

c186

composite cofactor 合成数の残り
859341461035684212800827423607132735692538793063411976794904489440214755214554549200662281581152138773211104741672494702531142947424010481276707287807559477678010257798853121330593640259<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 13, 2013 12:00:00 UTC 2013 年 10 月 13 日 (日) 21 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovNovember 8, 2013 06:07:43 UTC 2013 年 11 月 8 日 (金) 15 時 7 分 43 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:48 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 48 秒 (日本時間)
4511e6451 / 4077151CypFebruary 15, 2014 00:58:44 UTC 2014 年 2 月 15 日 (土) 9 時 58 分 44 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:30 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 30 秒 (日本時間)

17×10218+73

c212

composite cofactor 合成数の残り
22034898794941196826564983644985220610101500132021448044631506045280965244704096778934605643943799446231885190711336176431516318728485756699746623291098005876655661790123214358230396979570136194987493445103672449<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 13, 2013 12:00:00 UTC 2013 年 10 月 13 日 (日) 21 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovNovember 8, 2013 06:07:52 UTC 2013 年 11 月 8 日 (金) 15 時 7 分 52 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:49 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 49 秒 (日本時間)
4511e61800 / 40771500Dmitry DomanovJanuary 10, 2014 08:06:25 UTC 2014 年 1 月 10 日 (金) 17 時 6 分 25 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:31 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 31 秒 (日本時間)

17×10219+73

c182

composite cofactor 合成数の残り
23177076246817828124929899790461882328209933176689524654599963956202117703562486313319624460321218953859710470831427467621547545034535187695217290879442401698259651265610677702760287<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 13, 2013 12:00:00 UTC 2013 年 10 月 13 日 (日) 21 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovNovember 8, 2013 06:08:01 UTC 2013 年 11 月 8 日 (金) 15 時 8 分 1 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:50 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 50 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:33 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 33 秒 (日本時間)

17×10220+73

c205

composite cofactor 合成数の残り
3986636671624897368308390871756529272845517161969576092208268750443523984545755483401036177864366838709918608989936727657250786715251131462058372051011704101935290551023206392844956623283242766818032448729<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 13, 2013 12:00:00 UTC 2013 年 10 月 13 日 (日) 21 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovNovember 8, 2013 06:08:11 UTC 2013 年 11 月 8 日 (金) 15 時 8 分 11 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:51 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 51 秒 (日本時間)
4511e61800 / 40771500Dmitry DomanovJanuary 10, 2014 08:06:36 UTC 2014 年 1 月 10 日 (金) 17 時 6 分 36 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:31 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 31 秒 (日本時間)

17×10222+73

c219

name 名前Dmitry Domanov
date 日付November 5, 2013 06:05:23 UTC 2013 年 11 月 5 日 (火) 15 時 5 分 23 秒 (日本時間)
composite number 合成数
137051458791851081497246878048387226804040599479204456590965890310461863416128538144645721979023064954329616820244919018711555050346256479712353173547456083069307728896090808684225377093057940519666884336630630194854927<219>
prime factors 素因数
9081102083870568333967754186335548554087<40>
composite cofactor 合成数の残り
15091941212209861178343286185493418809071439923457248026323688578714349331560960321987912420532846852576047193735881275111176529634398953951721781253305850268657698188931290839321<179>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2977048750
Step 1 took 30501ms
Step 2 took 11058ms
********** Factor found in step 2: 9081102083870568333967754186335548554087
Found probable prime factor of 40 digits: 9081102083870568333967754186335548554087

c179

name 名前Dmitry Domanov
date 日付February 21, 2014 05:29:37 UTC 2014 年 2 月 21 日 (金) 14 時 29 分 37 秒 (日本時間)
composite number 合成数
15091941212209861178343286185493418809071439923457248026323688578714349331560960321987912420532846852576047193735881275111176529634398953951721781253305850268657698188931290839321<179>
prime factors 素因数
773130341526914607341319508101269044718281<42>
composite cofactor 合成数の残り
19520565164217491562343155352489363363091947257982931049285557967288351496209136069456586281487928708146967900996158283454598653334565841<137>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2963388571
Step 1 took 88672ms
Step 2 took 27665ms
********** Factor found in step 2: 773130341526914607341319508101269044718281
Found probable prime factor of 42 digits: 773130341526914607341319508101269044718281

c137

name 名前Serge Batalov
date 日付May 24, 2014 18:15:33 UTC 2014 年 5 月 25 日 (日) 3 時 15 分 33 秒 (日本時間)
composite number 合成数
19520565164217491562343155352489363363091947257982931049285557967288351496209136069456586281487928708146967900996158283454598653334565841<137>
prime factors 素因数
219989380231812845608720549991582351711753<42>
88734125000251291873430400573015381127870801408362920141550208221044886938063508185130786658697<95>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1371886960
Step 1 took 38062ms
Step 2 took 22884ms
********** Factor found in step 2: 219989380231812845608720549991582351711753
Found probable prime factor of 42 digits: 219989380231812845608720549991582351711753
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 13, 2013 12:00:00 UTC 2013 年 10 月 13 日 (日) 21 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovNovember 8, 2013 06:08:19 UTC 2013 年 11 月 8 日 (金) 15 時 8 分 19 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:52 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 52 秒 (日本時間)
4511e63300 / 40771500Dmitry DomanovFebruary 20, 2014 11:31:45 UTC 2014 年 2 月 20 日 (木) 20 時 31 分 45 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:11 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 11 秒 (日本時間)

17×10224+73

c185

composite cofactor 合成数の残り
44107111162970398270898606827760978723966912269582917184535638304344565416030708063487748480184449185179136612707232119223343427458292350211104439659675327211743619046715930094013457709<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 13, 2013 12:00:00 UTC 2013 年 10 月 13 日 (日) 21 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovNovember 8, 2013 06:08:28 UTC 2013 年 11 月 8 日 (金) 15 時 8 分 28 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:52 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 52 秒 (日本時間)
4511e6451 / 4077151CypMarch 10, 2014 21:24:00 UTC 2014 年 3 月 11 日 (火) 6 時 24 分 0 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:32 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 32 秒 (日本時間)

17×10225+73

c139

name 名前Ignacio Santos
date 日付October 13, 2013 19:10:33 UTC 2013 年 10 月 14 日 (月) 4 時 10 分 33 秒 (日本時間)
composite number 合成数
4549370767958402129185070797947956646636624257653789318255454016060617365300790195045143464906143359373197442106759471681666407672335692197<139>
prime factors 素因数
38797082382697876922408925319243219<35>
117260641485434486700560251043328667788013900498104027942393148853871040551432423686976823541365389002663<105>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4179893894
Step 1 took 25234ms
Step 2 took 16313ms
********** Factor found in step 2: 38797082382697876922408925319243219
Found probable prime factor of 35 digits: 38797082382697876922408925319243219
Probable prime cofactor 117260641485434486700560251043328667788013900498104027942393148853871040551432423686976823541365389002663 has 105 digits
software ソフトウェア
GMP-ECM 7.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 13, 2013 12:00:00 UTC 2013 年 10 月 13 日 (日) 21 時 0 分 0 秒 (日本時間)

17×10226+73

c218

name 名前Dmitry Domanov
date 日付November 5, 2013 06:00:01 UTC 2013 年 11 月 5 日 (火) 15 時 0 分 1 秒 (日本時間)
composite number 合成数
24873009230967897909169035465623975722621502226072216804458945972614307964197842599952373776434182492996295004478358244349253965245218975164648943943244505345997792348075428810353598089272285998595538510806085371269949<218>
prime factors 素因数
59382139650406633648532165416201<32>
165233000429153635337017764928883233<36>
1223686216914405546333410190908680554466577057<46>
2071598708093154164365311424897352456872880244894418006534506108074514128400664576518896779979708850243029<106>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3494267315
Step 1 took 30809ms
Step 2 took 11070ms
********** Factor found in step 2: 59382139650406633648532165416201
Found probable prime factor of 32 digits: 59382139650406633648532165416201

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=12817262
Step 1 took 22932ms
Step 2 took 9222ms
********** Factor found in step 2: 165233000429153635337017764928883233
Found probable prime factor of 36 digits: 165233000429153635337017764928883233

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=957568684
Step 1 took 16556ms
Step 2 took 3499ms
********** Factor found in step 2: 1223686216914405546333410190908680554466577057
Found probable prime factor of 46 digits: 1223686216914405546333410190908680554466577057

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 13, 2013 12:00:00 UTC 2013 年 10 月 13 日 (日) 21 時 0 分 0 秒 (日本時間)

17×10227+73

c205

composite cofactor 合成数の残り
1131933081611753622895064835027936371240960845086306887476049500748272349735167288978609550328506432129553991747727712213309885076728965505262394981573494409910312301324034111584941480159913422335737223347<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 13, 2013 12:00:00 UTC 2013 年 10 月 13 日 (日) 21 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovNovember 8, 2013 06:08:37 UTC 2013 年 11 月 8 日 (金) 15 時 8 分 37 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:53 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 53 秒 (日本時間)
4511e61800 / 40771500Dmitry DomanovJanuary 10, 2014 08:06:50 UTC 2014 年 1 月 10 日 (金) 17 時 6 分 50 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:32 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 32 秒 (日本時間)

17×10228+73

c203

name 名前Dmitry Domanov
date 日付November 5, 2013 06:01:01 UTC 2013 年 11 月 5 日 (火) 15 時 1 分 1 秒 (日本時間)
composite number 合成数
35325957586388925597505238012643300480949515924240689090621608163282521459596918767389649971470957600008518790773802646065129371660191872653747293648272939109685742905806760623550844018562734014701558107<203>
prime factors 素因数
238967214702122515346188301112395429<36>
447820890073169568455782200632184262453<39>
10516773758465327645739542186980463319856711<44>
31388368415704133018477190740181370518112340990791277967083278566105935337661523578501<86>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3971020280
Step 1 took 26773ms
Step 2 took 10299ms
********** Factor found in step 2: 238967214702122515346188301112395429
Found probable prime factor of 36 digits: 238967214702122515346188301112395429

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1420882142
Step 1 took 19526ms
Step 2 took 8239ms
********** Factor found in step 2: 447820890073169568455782200632184262453
Found probable prime factor of 39 digits: 447820890073169568455782200632184262453

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3263478038
Step 1 took 13528ms
Step 2 took 6372ms
********** Factor found in step 2: 10516773758465327645739542186980463319856711
Found probable prime factor of 44 digits: 10516773758465327645739542186980463319856711

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 13, 2013 12:00:00 UTC 2013 年 10 月 13 日 (日) 21 時 0 分 0 秒 (日本時間)

17×10229+73

c205

composite cofactor 合成数の残り
1873324173923447295400791078351582643818560368883079604630581847045106672475441915991388443513798889910207133468271889212699297571313012178661642528880206631991918688155977801527819420527903116489608443903<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 13, 2013 12:00:00 UTC 2013 年 10 月 13 日 (日) 21 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovNovember 8, 2013 06:08:46 UTC 2013 年 11 月 8 日 (金) 15 時 8 分 46 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:54 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 54 秒 (日本時間)
4511e61800 / 40771500Dmitry DomanovJanuary 10, 2014 08:07:02 UTC 2014 年 1 月 10 日 (金) 17 時 7 分 2 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:33 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 33 秒 (日本時間)

17×10230+73

c225

name 名前Serge Batalov
date 日付October 28, 2013 01:45:56 UTC 2013 年 10 月 28 日 (月) 10 時 45 分 56 秒 (日本時間)
composite number 合成数
742060930186471181627269778870207868726802411436119248318468106875980229750794114321906904527750241497182132744224256051179505848531395943196545313514195407341252432977711545202205055879370575188887244714671024746859008859771<225>
prime factors 素因数
12495916352086735618321021728519037<35>
composite cofactor 合成数の残り
59384274772498128982060242724869703944793968976377139756179670304421273455407148448010140720017129546703738081963430299069278812701028161483949867783765038410035052812344781850985762245348183<191>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2060832995
Step 1 took 21410ms
Step 2 took 14649ms
********** Factor found in step 2: 12495916352086735618321021728519037
Found probable prime factor of 35 digits: 12495916352086735618321021728519037
Composite cofactor 

c191

name 名前Dmitry Domanov
date 日付November 5, 2013 06:09:56 UTC 2013 年 11 月 5 日 (火) 15 時 9 分 56 秒 (日本時間)
composite number 合成数
59384274772498128982060242724869703944793968976377139756179670304421273455407148448010140720017129546703738081963430299069278812701028161483949867783765038410035052812344781850985762245348183<191>
prime factors 素因数
3666176631157204040835057836878447<34>
composite cofactor 合成数の残り
16197876083715552276879541413349978299308095725391459186964954291073469660988310902233455145048306497740829371949303698886007119345211208688986324234810491289<158>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=607025527
Step 1 took 22729ms
Step 2 took 9256ms
********** Factor found in step 2: 3666176631157204040835057836878447
Found probable prime factor of 34 digits: 3666176631157204040835057836878447

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 13, 2013 12:00:00 UTC 2013 年 10 月 13 日 (日) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 7, 2013 20:20:51 UTC 2013 年 11 月 8 日 (金) 5 時 20 分 51 秒 (日本時間)
403e61610110Ignacio SantosNovember 7, 2013 20:20:51 UTC 2013 年 11 月 8 日 (金) 5 時 20 分 51 秒 (日本時間)
1500Dmitry DomanovNovember 8, 2013 06:08:57 UTC 2013 年 11 月 8 日 (金) 15 時 8 分 57 秒 (日本時間)
4511e6411032Ignacio SantosNovember 7, 2013 20:20:51 UTC 2013 年 11 月 8 日 (金) 5 時 20 分 51 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:12:24 UTC 2013 年 11 月 9 日 (土) 2 時 12 分 24 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:14 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 14 秒 (日本時間)
1500Dmitry DomanovMarch 14, 2014 12:29:39 UTC 2014 年 3 月 14 日 (金) 21 時 29 分 39 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:06 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 6 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:33 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 33 秒 (日本時間)
128Ignacio SantosDecember 22, 2015 20:26:35 UTC 2015 年 12 月 23 日 (水) 5 時 26 分 35 秒 (日本時間)

17×10232+73

c180

name 名前Dmitry Domanov
date 日付November 5, 2013 06:08:17 UTC 2013 年 11 月 5 日 (火) 15 時 8 分 17 秒 (日本時間)
composite number 合成数
121018559935948173278025677952855218442861229985938015668718538981568415706513107845825630333814667396320169955365673390538656592648775041903778358033591151140985345903978297760639<180>
prime factors 素因数
43823159307813133529346403064869<32>
2761520662759976859902768394158328856170884636793101947991654029243196370834068564992034140216986834281571603632577720960690919494888871498518181331<148>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3013808749
Step 1 took 22937ms
Step 2 took 8964ms
********** Factor found in step 2: 43823159307813133529346403064869
Found probable prime factor of 32 digits: 43823159307813133529346403064869

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 13, 2013 12:00:00 UTC 2013 年 10 月 13 日 (日) 21 時 0 分 0 秒 (日本時間)

17×10233+73

c212

name 名前Dmitry Domanov
date 日付November 5, 2013 06:07:08 UTC 2013 年 11 月 5 日 (火) 15 時 7 分 8 秒 (日本時間)
composite number 合成数
13995980337916190737692673287881984188037780452121466706370775707876244392881303800530743893016603864206555320575413169871035503773642652855653567820130845854547600805797216775348604114117693994970192254609387199<212>
prime factors 素因数
8387458731140001633132173118079<31>
composite cofactor 合成数の残り
1668679487620428911085828552760040545145637332286668360681382249757787989634180643042737225632480310522891175116646977625889826855154509903667205870146124248857800662690545365433281<181>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2008701972
Step 1 took 26672ms
Step 2 took 10671ms
********** Factor found in step 2: 8387458731140001633132173118079
Found probable prime factor of 31 digits: 8387458731140001633132173118079

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 13, 2013 12:00:00 UTC 2013 年 10 月 13 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovNovember 8, 2013 06:09:08 UTC 2013 年 11 月 8 日 (金) 15 時 9 分 8 秒 (日本時間)
4511e61800 / 41431500Dmitry DomanovDecember 31, 2013 07:17:52 UTC 2013 年 12 月 31 日 (火) 16 時 17 分 52 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:34 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 34 秒 (日本時間)

17×10234+73

c168

composite cofactor 合成数の残り
801988849097910390526863731338444114663161126553439088288107736039362868282559518912126519536493933658230195129316239408790931471894409089641467077626929880308487840063<168>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 13, 2013 12:00:00 UTC 2013 年 10 月 13 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovNovember 8, 2013 06:09:18 UTC 2013 年 11 月 8 日 (金) 15 時 9 分 18 秒 (日本時間)
4511e61800 / 41431500Dmitry DomanovDecember 31, 2013 07:17:41 UTC 2013 年 12 月 31 日 (火) 16 時 17 分 41 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:34 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 34 秒 (日本時間)

17×10238+73

c239

name 名前Serge Batalov
date 日付October 27, 2013 21:13:37 UTC 2013 年 10 月 28 日 (月) 6 時 13 分 37 秒 (日本時間)
composite number 合成数
56666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669<239>
prime factors 素因数
631439532598462095112668875089297<33>
89742031883045710616469926577038808037571975763646082537926657069560585863032776042158323107558349225151487689860326433973677337413895507850292946393360943654504007805663247173466135583604470429078262576477<206>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=986879045
Step 1 took 22305ms
Step 2 took 15717ms
********** Factor found in step 2: 631439532598462095112668875089297
Found probable prime factor of 33 digits: 631439532598462095112668875089297
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 13, 2013 12:00:00 UTC 2013 年 10 月 13 日 (日) 21 時 0 分 0 秒 (日本時間)

17×10239+73

c233

composite cofactor 合成数の残り
89852003707610797694989551004780602284323346494537711705194941585891036686520259697660692512648387280740629981996301162986196459503358377200931437582904990332717212858498263292903631453296434815199005539164612094893652489764667560007<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 13, 2013 12:00:00 UTC 2013 年 10 月 13 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovNovember 8, 2013 06:09:28 UTC 2013 年 11 月 8 日 (金) 15 時 9 分 28 秒 (日本時間)
4511e61800 / 41431500Dmitry DomanovDecember 31, 2013 07:17:28 UTC 2013 年 12 月 31 日 (火) 16 時 17 分 28 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:35 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 35 秒 (日本時間)

17×10240+73

c204

name 名前Dmitry Domanov
date 日付November 5, 2013 06:12:03 UTC 2013 年 11 月 5 日 (火) 15 時 12 分 3 秒 (日本時間)
composite number 合成数
652393242245606488399551260492764952564564191355310946072095371611377113869786232386605349588233496088933766469590625265828087992706575903230106340923075682343351741225807386197331943813648366879603435503<204>
prime factors 素因数
1256002026135720387933343782571819078033<40>
composite cofactor 合成数の残り
519420533303431575928895208072521898401653822707622125633312476826160170727649531977231505272009862201921660409195909171349992999079214033013489709160688825943646591<165>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1135994703
Step 1 took 26851ms
Step 2 took 10312ms
********** Factor found in step 2: 1256002026135720387933343782571819078033
Found probable prime factor of 40 digits: 1256002026135720387933343782571819078033

c165

name 名前Erik Branger
date 日付March 5, 2014 08:59:24 UTC 2014 年 3 月 5 日 (水) 17 時 59 分 24 秒 (日本時間)
composite number 合成数
519420533303431575928895208072521898401653822707622125633312476826160170727649531977231505272009862201921660409195909171349992999079214033013489709160688825943646591<165>
prime factors 素因数
6373298320513053259791764803303517967151700843<46>
81499485381317910642327938650473786797937685119158428874759931582579322638089509262599006699696144576480727069266987837<119>
factorization results 素因数分解の結果
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 519420533303431575928895208072521898401653822707622125633312476826160170727649531977231505272009862201921660409195909171349992999079214033013489709160688825943646591 (165 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:3585774399
Step 1 took 192489ms
Step 2 took 93476ms
********** Factor found in step 2: 6373298320513053259791764803303517967151700843
Found probable prime factor of 46 digits: 6373298320513053259791764803303517967151700843
Probable prime cofactor 81499485381317910642327938650473786797937685119158428874759931582579322638089509262599006699696144576480727069266987837 has 119 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 13, 2013 12:00:00 UTC 2013 年 10 月 13 日 (日) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 7, 2013 22:42:10 UTC 2013 年 11 月 8 日 (金) 7 時 42 分 10 秒 (日本時間)
403e61610110Ignacio SantosNovember 7, 2013 22:42:10 UTC 2013 年 11 月 8 日 (金) 7 時 42 分 10 秒 (日本時間)
1500Dmitry DomanovNovember 8, 2013 06:09:38 UTC 2013 年 11 月 8 日 (金) 15 時 9 分 38 秒 (日本時間)
4511e61282 / 410532Ignacio SantosNovember 7, 2013 22:42:10 UTC 2013 年 11 月 8 日 (金) 7 時 42 分 10 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:13:26 UTC 2013 年 11 月 9 日 (土) 2 時 13 分 26 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:58 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 58 秒 (日本時間)

17×10241+73

c169

composite cofactor 合成数の残り
1205006532749993688466950853691475381214766442476650991704743284163086364772344452849980079328951006706618389169660916355355420059614362811186291841860179849529552088571<169>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 13, 2013 12:00:00 UTC 2013 年 10 月 13 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovNovember 8, 2013 06:09:48 UTC 2013 年 11 月 8 日 (金) 15 時 9 分 48 秒 (日本時間)
4511e61800 / 41431500Dmitry DomanovDecember 31, 2013 07:16:12 UTC 2013 年 12 月 31 日 (火) 16 時 16 分 12 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:35 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 35 秒 (日本時間)

17×10242+73

c218

composite cofactor 合成数の残り
11147934261258440992840858822351327875211553732011961018279181969883080889408945712088928653287102549936334542955148319313240119820029606794107481639924616086371751679069066286366984152546043374637791396938010788165429<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 13, 2013 12:00:00 UTC 2013 年 10 月 13 日 (日) 21 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovNovember 8, 2013 06:09:58 UTC 2013 年 11 月 8 日 (金) 15 時 9 分 58 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:56 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 56 秒 (日本時間)
4511e61800 / 40771500Dmitry DomanovJanuary 10, 2014 08:07:25 UTC 2014 年 1 月 10 日 (金) 17 時 7 分 25 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:35 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 35 秒 (日本時間)

17×10243+73

c220

name 名前Dmitry Domanov
date 日付November 5, 2013 06:11:01 UTC 2013 年 11 月 5 日 (火) 15 時 11 分 1 秒 (日本時間)
composite number 合成数
2019383854090254233306962885897392746635406702856946078806521957038990090658846389364691530578355596027928963862096077564677899799892837033092110579824273375812195378401485999824768409835781563064804518961255339618617587<220>
prime factors 素因数
389873897061521692306285644636668616337<39>
composite cofactor 合成数の残り
5179582088748038388853352148203564213718815214943154735113452985879299950897674014969546815669627106760353202710754149457756345743870745744203307245367967868405826908755271625341251<181>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=260238829
Step 1 took 30504ms
Step 2 took 11110ms
********** Factor found in step 2: 389873897061521692306285644636668616337
Found probable prime factor of 39 digits: 389873897061521692306285644636668616337

c181

name 名前Dmitry Domanov
date 日付January 4, 2014 10:09:04 UTC 2014 年 1 月 4 日 (土) 19 時 9 分 4 秒 (日本時間)
composite number 合成数
5179582088748038388853352148203564213718815214943154735113452985879299950897674014969546815669627106760353202710754149457756345743870745744203307245367967868405826908755271625341251<181>
prime factors 素因数
17641257909789757032729590653167628401907<41>
composite cofactor 合成数の残り
293606165457946474764061628086734983019970201357144310409677168608798769360576404207166060141561216523511593569951340859374696423680759047793<141>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2688577133
Step 1 took 83835ms
Step 2 took 29154ms
********** Factor found in step 2: 17641257909789757032729590653167628401907
Found probable prime factor of 41 digits: 17641257909789757032729590653167628401907

c141

name 名前Erik Branger
date 日付September 14, 2016 07:38:12 UTC 2016 年 9 月 14 日 (水) 16 時 38 分 12 秒 (日本時間)
composite number 合成数
293606165457946474764061628086734983019970201357144310409677168608798769360576404207166060141561216523511593569951340859374696423680759047793<141>
prime factors 素因数
12426447174634934486953510159784287918411186829036848187<56>
23627522922019106281003945271456799423907864428077309932041769766193448719772063625539<86>
factorization results 素因数分解の結果
Number: 56669_243
N = 293606165457946474764061628086734983019970201357144310409677168608798769360576404207166060141561216523511593569951340859374696423680759047793 (141 digits)
Divisors found:
r1=12426447174634934486953510159784287918411186829036848187 (pp56)
r2=23627522922019106281003945271456799423907864428077309932041769766193448719772063625539 (pp86)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 208.57 hours.
Factorization parameters were as follows:
# Murphy_E = 2.03e-11, selected by Erik Branger
# expecting poly E from 1.92e-011 to > 2.21e-011
n: 293606165457946474764061628086734983019970201357144310409677168608798769360576404207166060141561216523511593569951340859374696423680759047793
Y0: -2662113794849395646178559182
Y1: 923703871931353
c0: -282591169699505732552544762938008435
c1: 469589845631954278461360443536
c2: -5194731942509411434889
c3: -95393540966109250
c4: -3558652038
c5: 2196
skew: 3565313.03
type: gnfs
# selected mechanically
rlim: 18800000
alim: 18800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18800000/18800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23113704
Relations: 3789228 relations
Pruned matrix : 2349098 x 2349323
Polynomial selection time: 0.00 hours.
Total sieving time: 205.44 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.72 hours.
time per square root: 0.25 hours.
Prototype def-par.txt line would be: gnfs,140,5,65,2000,1e-05,0.28,250,20,50000,3600,18800000,18800000,28,28,56,56,2.6,2.6,100000
total time: 208.57 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-8-6.2.9200
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 13, 2013 12:00:00 UTC 2013 年 10 月 13 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovNovember 8, 2013 06:10:07 UTC 2013 年 11 月 8 日 (金) 15 時 10 分 7 秒 (日本時間)
4511e641431500Dmitry DomanovDecember 31, 2013 07:16:01 UTC 2013 年 12 月 31 日 (火) 16 時 16 分 1 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:36 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 36 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:27 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 27 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:36 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 36 秒 (日本時間)
143KTakahashiMay 30, 2014 20:41:13 UTC 2014 年 5 月 31 日 (土) 5 時 41 分 13 秒 (日本時間)

17×10245+73

c237

composite cofactor 合成数の残り
210562707257422384077002536304973954841659822366121899363050052419827499546568382822105033679615880897060564312878574492344636740890520132384673178638196196653108716021172809009421763467947257427184906728005535330910499487575772292289207<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 13, 2013 12:00:00 UTC 2013 年 10 月 13 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovNovember 8, 2013 06:10:16 UTC 2013 年 11 月 8 日 (金) 15 時 10 分 16 秒 (日本時間)
4511e61800 / 41431500Dmitry DomanovDecember 31, 2013 07:15:43 UTC 2013 年 12 月 31 日 (火) 16 時 15 分 43 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:36 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 36 秒 (日本時間)

17×10247+73

c244

composite cofactor 合成数の残り
2342856355342401565579305687628340292994859497526219318917875993991262523945370102396604236435550777966125053403343393834153333057703173881286090324003252435881534157467510094954589931230275216714212869172144816085776105621477102024503521175287<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 13, 2013 12:00:00 UTC 2013 年 10 月 13 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovNovember 8, 2013 06:10:24 UTC 2013 年 11 月 8 日 (金) 15 時 10 分 24 秒 (日本時間)
4511e61250850Serge BatalovNovember 8, 2013 17:18:01 UTC 2013 年 11 月 9 日 (土) 2 時 18 分 1 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:30:13 UTC 2014 年 1 月 6 日 (月) 11 時 30 分 13 秒 (日本時間)
5043e6775 / 7143Serge BatalovNovember 25, 2013 02:18:10 UTC 2013 年 11 月 25 日 (月) 11 時 18 分 10 秒 (日本時間)
5511e730 / 17403Dmitry DomanovJanuary 13, 2014 11:26:28 UTC 2014 年 1 月 13 日 (月) 20 時 26 分 28 秒 (日本時間)

17×10248+73

c229

composite cofactor 合成数の残り
4331064192923359357648844397142981097030815936179717448948224374290441077489856990888220570543330126338644419467455320182978872627279575718448531487104037163078976362716777180051559723296561763076871264035766610217874714061828467<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 13, 2013 12:00:00 UTC 2013 年 10 月 13 日 (日) 21 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovNovember 8, 2013 06:10:35 UTC 2013 年 11 月 8 日 (金) 15 時 10 分 35 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:48:57 UTC 2014 年 1 月 9 日 (木) 13 時 48 分 57 秒 (日本時間)
4511e61800 / 40771500Dmitry DomanovJanuary 10, 2014 08:08:00 UTC 2014 年 1 月 10 日 (金) 17 時 8 分 0 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:37 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 37 秒 (日本時間)

17×10250+73

c230

name 名前Dmitry Domanov
date 日付November 5, 2013 06:03:12 UTC 2013 年 11 月 5 日 (火) 15 時 3 分 12 秒 (日本時間)
composite number 合成数
20804509142396517290288541638861858648254264974360258196556382878399653132215595179703115051531589422728421210033421724975594538257199018814322226936243161154493454444384673593585256608067270267754397068636407223902333539992308363<230>
prime factors 素因数
86759718883876185362467802803501069<35>
composite cofactor 合成数の残り
239794566073253153713723505951993899590009802783338072804278019293706948544525654811783854519994079331939195115736976022559336118020953539374437895932942071763514812450638511435078701688115105527<195>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3852950761
Step 1 took 30396ms
Step 2 took 11755ms
********** Factor found in step 2: 86759718883876185362467802803501069
Found probable prime factor of 35 digits: 86759718883876185362467802803501069

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 13, 2013 12:00:00 UTC 2013 年 10 月 13 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovNovember 8, 2013 06:10:45 UTC 2013 年 11 月 8 日 (金) 15 時 10 分 45 秒 (日本時間)
4511e61500Dmitry DomanovDecember 31, 2013 07:15:21 UTC 2013 年 12 月 31 日 (火) 16 時 15 分 21 秒 (日本時間)
5043e6760 / 7159400Dmitry DomanovJanuary 13, 2014 11:25:52 UTC 2014 年 1 月 13 日 (月) 20 時 25 分 52 秒 (日本時間)
360Dmitry DomanovFebruary 20, 2014 11:24:52 UTC 2014 年 2 月 20 日 (木) 20 時 24 分 52 秒 (日本時間)