Table of contents 目次

23×10109-173

c107

name 名前Serge Batalov
date 日付December 16, 2009 06:52:19 UTC 2009 年 12 月 16 日 (水) 15 時 52 分 19 秒 (日本時間)
composite number 合成数
17333634787851382922601552490767955384731328660788303564699675936393096691536664405757781294747155022985907<107>
prime factors 素因数
15657590962371840382069424283498865142543<41>
1107043531122213731069211459476835017897299236455125765923081029149<67>
factorization results 素因数分解の結果
SNFS difficulty: 110 digits.
Divisors found:
 r1=15657590962371840382069424283498865142543 (pp41)
 r2=1107043531122213731069211459476835017897299236455125765923081029149 (pp67)
Version: Msieve v. 1.44 SVN157
Total time: 0.63 hours.
Scaled time: 1.52 units (timescale=2.400).
Factorization parameters were as follows:
n: 17333634787851382922601552490767955384731328660788303564699675936393096691536664405757781294747155022985907
m: 1000000000000000000000
deg: 5
c5: 230000
c0: -17
skew: 0.15
type: snfs
lss: 1
rlim: 480000
alim: 480000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 480000/480000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [300000, 550001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 53200 x 53427
Total sieving time: 0.61 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,110.000,5,0,0,0,0,0,0,0,0,480000,480000,25,25,44,44,2.2,2.2,50000
total time: 0.63 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 16, 2009 03:00:00 UTC 2009 年 12 月 16 日 (水) 12 時 0 分 0 秒 (日本時間)

23×10117-173

c89

name 名前Robert Backstrom
date 日付December 16, 2009 05:18:47 UTC 2009 年 12 月 16 日 (水) 14 時 18 分 47 秒 (日本時間)
composite number 合成数
30089511742871643769964632131175135743122042073471668918174706140412512932354920769209337<89>
prime factors 素因数
1118338087153059584933843463282641<34>
26905559319248589651357853745624920225257541945854546857<56>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 30089511742871643769964632131175135743122042073471668918174706140412512932354920769209337 (89 digits)
Using B1=922000, B2=871204962, polynomial Dickson(3), sigma=3498851850
Step 1 took 5719ms
Step 2 took 2687ms
********** Factor found in step 2: 1118338087153059584933843463282641
Found probable prime factor of 34 digits: 1118338087153059584933843463282641
Probable prime cofactor 26905559319248589651357853745624920225257541945854546857 has 56 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 16, 2009 03:00:00 UTC 2009 年 12 月 16 日 (水) 12 時 0 分 0 秒 (日本時間)

23×10118-173

c117

name 名前Sinkiti Sibata
date 日付December 16, 2009 10:49:20 UTC 2009 年 12 月 16 日 (水) 19 時 49 分 20 秒 (日本時間)
composite number 合成数
310391363022941970310391363022941970310391363022941970310391363022941970310391363022941970310391363022941970310391363<117>
prime factors 素因数
9220814096092378075081918296352874047<37>
33662034586998177818149074936349876698328006634392197039896356491332469987852029<80>
factorization results 素因数分解の結果
Number: 76661_118
N=310391363022941970310391363022941970310391363022941970310391363022941970310391363022941970310391363022941970310391363
  ( 117 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=9220814096092378075081918296352874047 (pp37)
 r2=33662034586998177818149074936349876698328006634392197039896356491332469987852029 (pp80)
Version: Msieve v. 1.42
Total time: 0.04 hours.
Scaled time: 0.03 units (timescale=0.795).
Factorization parameters were as follows:
name: 76661_118
n: 310391363022941970310391363022941970310391363022941970310391363022941970310391363022941970310391363022941970310391363
m: 100000000000000000000000
deg: 5
c5: 23000
c0: -17
skew: 0.24
type: snfs
lss: 1
rlim: 680000
alim: 680000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 680000/680000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [340000, 640001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 79185 x 79410
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,119.000,5,0,0,0,0,0,0,0,0,680000,680000,25,25,45,45,2.2,2.2,50000
total time: 0.04 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.33 BogoMIPS (lpj=1860666)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860571)
Total of 2 processors activated (7442.47 BogoMIPS).

Total time: 83 min.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 16, 2009 03:00:00 UTC 2009 年 12 月 16 日 (水) 12 時 0 分 0 秒 (日本時間)

23×10120-173

c93

name 名前Sinkiti Sibata
date 日付December 16, 2009 10:38:56 UTC 2009 年 12 月 16 日 (水) 19 時 38 分 56 秒 (日本時間)
composite number 合成数
368472051711260603290907951809574825594060081448813710281059755320847323776252661535937982849<93>
prime factors 素因数
40385545056978807490330733028374505691311499<44>
9123859816461408438093111424239616025271490303651<49>
factorization results 素因数分解の結果
Number: 76661_120
N=368472051711260603290907951809574825594060081448813710281059755320847323776252661535937982849
  ( 93 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=40385545056978807490330733028374505691311499 (pp44)
 r2=9123859816461408438093111424239616025271490303651 (pp49)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 2.37 hours.
Scaled time: 1.11 units (timescale=0.468).
Factorization parameters were as follows:
name: 76661_120
n: 368472051711260603290907951809574825594060081448813710281059755320847323776252661535937982849
m: 1000000000000000000000000
deg: 5
c5: 23
c0: -17
skew: 0.94
type: snfs
lss: 1
rlim: 740000
alim: 740000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 740000/740000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [370000, 570001)
Primes: RFBsize:59531, AFBsize:59778, largePrimes:1289988 encountered
Relations: rels:1259145, finalFF:145398
Max relations in full relation-set: 28
Initial matrix: 119374 x 145398 with sparse part having weight 6389763.
Pruned matrix : 104465 x 105125 with weight 3571061.
Total sieving time: 2.21 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,740000,740000,25,25,46,46,2.2,2.2,50000
total time: 2.37 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium4 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 KamadaDecember 16, 2009 03:00:00 UTC 2009 年 12 月 16 日 (水) 12 時 0 分 0 秒 (日本時間)

23×10122-173

c108

name 名前Serge Batalov
date 日付December 16, 2009 05:28:57 UTC 2009 年 12 月 16 日 (水) 14 時 28 分 57 秒 (日本時間)
composite number 合成数
978509811626541970469396196670019171035584479650068940622039738302305908426169320238642401043811501599350377<108>
prime factors 素因数
741688256826905058083748714823<30>
1319300666580334226218159946688540099971933859484532199655146475100465378632399<79>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3326129902
Step 1 took 4316ms
Step 2 took 2776ms
********** Factor found in step 2: 741688256826905058083748714823
Found probable prime factor of 30 digits: 741688256826905058083748714823
Probable prime cofactor has 79 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 16, 2009 03:00:00 UTC 2009 年 12 月 16 日 (水) 12 時 0 分 0 秒 (日本時間)

23×10125-173

c110

name 名前Sinkiti Sibata
date 日付December 16, 2009 10:55:36 UTC 2009 年 12 月 16 日 (水) 19 時 55 分 36 秒 (日本時間)
composite number 合成数
67411234394965052867362708500102595217340895755614475022353081977374166777198257577218719672431852753265915127<110>
prime factors 素因数
2558995386883296022720615957313118525870831481<46>
26342851081520675035689188882287686037742543187479440491093033967<65>
factorization results 素因数分解の結果
Number: 76661_125
N=67411234394965052867362708500102595217340895755614475022353081977374166777198257577218719672431852753265915127
  ( 110 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=2558995386883296022720615957313118525870831481 (pp46)
 r2=26342851081520675035689188882287686037742543187479440491093033967 (pp65)
Version: Msieve v. 1.42
Total time: 0.09 hours.
Scaled time: 0.07 units (timescale=0.795).
Factorization parameters were as follows:
name: 76661_125
n: 67411234394965052867362708500102595217340895755614475022353081977374166777198257577218719672431852753265915127
m: 10000000000000000000000000
deg: 5
c5: 23
c0: -17
skew: 0.94
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, 645001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 130853 x 131095
Total sieving time: 0.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,126.000,5,0,0,0,0,0,0,0,0,890000,890000,26,26,46,46,2.3,2.3,50000
total time: 0.09 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.33 BogoMIPS (lpj=1860666)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860571)
Total of 2 processors activated (7442.47 BogoMIPS).

Total time: 71 min.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 16, 2009 03:00:00 UTC 2009 年 12 月 16 日 (水) 12 時 0 分 0 秒 (日本時間)

23×10127-173

c123

name 名前Sinkiti Sibata
date 日付December 16, 2009 13:12:34 UTC 2009 年 12 月 16 日 (水) 22 時 12 分 34 秒 (日本時間)
composite number 合成数
331762509970905870321247080850523679909760597287913603272620794008657559064545117537687499909847144029645143934443728029749<123>
prime factors 素因数
17325323742942685585564136440668567011871023<44>
19148993397947114116728493211346650542616183424561745135636491481312527026611163<80>
factorization results 素因数分解の結果
Number: 76661_127
N=331762509970905870321247080850523679909760597287913603272620794008657559064545117537687499909847144029645143934443728029749
  ( 123 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=17325323742942685585564136440668567011871023 (pp44)
 r2=19148993397947114116728493211346650542616183424561745135636491481312527026611163 (pp80)
Version: Msieve-1.40
Total time: 2.33 hours.
Scaled time: 7.77 units (timescale=3.339).
Factorization parameters were as follows:
name: 76661_127
n: 331762509970905870321247080850523679909760597287913603272620794008657559064545117537687499909847144029645143934443728029749
m: 10000000000000000000000000
deg: 5
c5: 2300
c0: -17
skew: 0.37
type: snfs
lss: 1
rlim: 960000
alim: 960000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 960000/960000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [480000, 930001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 143966 x 144214
Total sieving time: 2.26 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,128.000,5,0,0,0,0,0,0,0,0,960000,960000,26,26,47,47,2.3,2.3,50000
total time: 2.33 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 16, 2009 03:00:00 UTC 2009 年 12 月 16 日 (水) 12 時 0 分 0 秒 (日本時間)

23×10128-173

c122

name 名前Sinkiti Sibata
date 日付December 16, 2009 22:56:55 UTC 2009 年 12 月 17 日 (木) 7 時 56 分 55 秒 (日本時間)
composite number 合成数
52351488897967699267919055402510909424344621384131030040809351286980551171497718965963406354783354402531463074116301746061<122>
prime factors 素因数
796330877846429536306828912489<30>
65740875249676750527318907470608197372316851127687878872318015560789092527574729697323746949<92>
factorization results 素因数分解の結果
Number: 76661_128
N=52351488897967699267919055402510909424344621384131030040809351286980551171497718965963406354783354402531463074116301746061
  ( 122 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=796330877846429536306828912489 (pp30)
 r2=65740875249676750527318907470608197372316851127687878872318015560789092527574729697323746949 (pp92)
Version: Msieve v. 1.42
Total time: 0.19 hours.
Scaled time: 0.15 units (timescale=0.796).
Factorization parameters were as follows:
name: 76661_128
n: 52351488897967699267919055402510909424344621384131030040809351286980551171497718965963406354783354402531463074116301746061
m: 10000000000000000000000000
deg: 5
c5: 23000
c0: -17
skew: 0.24
type: snfs
lss: 1
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor 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, 950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 169338 x 169580
Total sieving time: 0.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,129.000,5,0,0,0,0,0,0,0,0,1000000,1000000,26,26,47,47,2.3,2.3,50000
total time: 0.19 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.33 BogoMIPS (lpj=1860666)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860571)
Total of 2 processors activated (7442.47 BogoMIPS).

Total time: 2 hours 24 min.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 16, 2009 03:00:00 UTC 2009 年 12 月 16 日 (水) 12 時 0 分 0 秒 (日本時間)

23×10130-173

c124

name 名前Dmitry Domanov
date 日付December 16, 2009 21:11:46 UTC 2009 年 12 月 17 日 (木) 6 時 11 分 46 秒 (日本時間)
composite number 合成数
9296978267828239215778055420580947152701372448227048054585065552387441787273738328300636467090051056983564680553199310519923<124>
prime factors 素因数
30318235100717866400373492092541671420427759317<47>
306646420444444276169168758599822702752172077221617339445341659227794033863719<78>
factorization results 素因数分解の結果
N=9296978267828239215778055420580947152701372448227048054585065552387441787273738328300636467090051056983564680553199310519923
  ( 124 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=30318235100717866400373492092541671420427759317 (pp47)
 r2=306646420444444276169168758599822702752172077221617339445341659227794033863719 (pp78)
Version: Msieve-1.40
Total time: 2.14 hours.
Scaled time: 4.18 units (timescale=1.957).
Factorization parameters were as follows:
n: 9296978267828239215778055420580947152701372448227048054585065552387441787273738328300636467090051056983564680553199310519923
m: 100000000000000000000000000
deg: 5
c5: 23
c0: -17
skew: 0.94
type: snfs
lss: 1
rlim: 1080000
alim: 1080000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor 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, 940001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 118274 x 118500
Total sieving time: 2.07 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,131.000,5,0,0,0,0,0,0,0,0,1080000,1080000,26,26,47,47,2.3,2.3,50000
total time: 2.14 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 KamadaDecember 16, 2009 03:00:00 UTC 2009 年 12 月 16 日 (水) 12 時 0 分 0 秒 (日本時間)

23×10131-173

c104

name 名前Dmitry Domanov
date 日付December 16, 2009 21:10:58 UTC 2009 年 12 月 17 日 (木) 6 時 10 分 58 秒 (日本時間)
composite number 合成数
49179012143907225906578389671542644025191118244977237920486566849786794594596600064062738910557527636403<104>
prime factors 素因数
512631118506491300694853903522261777639574203531<48>
95934504107332076044084320068184723105024374504364475513<56>
factorization results 素因数分解の結果
N=49179012143907225906578389671542644025191118244977237920486566849786794594596600064062738910557527636403
  ( 104 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=512631118506491300694853903522261777639574203531 (pp48)
 r2=95934504107332076044084320068184723105024374504364475513 (pp56)
Version: Msieve-1.40
Total time: 2.36 hours.
Scaled time: 4.28 units (timescale=1.813).
Factorization parameters were as follows:
n: 49179012143907225906578389671542644025191118244977237920486566849786794594596600064062738910557527636403
m: 100000000000000000000000000
deg: 5
c5: 230
c0: -17
skew: 0.59
type: snfs
lss: 1
rlim: 1120000
alim: 1120000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1120000/1120000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [560000, 1010001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 143159 x 143390
Total sieving time: 2.27 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,132.000,5,0,0,0,0,0,0,0,0,1120000,1120000,26,26,47,47,2.3,2.3,50000
total time: 2.36 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 16, 2009 03:00:00 UTC 2009 年 12 月 16 日 (水) 12 時 0 分 0 秒 (日本時間)

23×10132-173

c111

name 名前Serge Batalov
date 日付December 16, 2009 05:17:46 UTC 2009 年 12 月 16 日 (水) 14 時 17 分 46 秒 (日本時間)
composite number 合成数
129103917668162726731772830908925781361968295747125140777591309620114914174761522901897059756139774877176710303<111>
prime factors 素因数
6765672016507302473411933737<28>
19082201642817897816379464000476263038247593631835682844121143546670724325874838919<83>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=4049908066
Step 1 took 4545ms
Step 2 took 2884ms
********** Factor found in step 2: 6765672016507302473411933737
Found probable prime factor of 28 digits: 6765672016507302473411933737
Probable prime cofactor has 83 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 16, 2009 03:00:00 UTC 2009 年 12 月 16 日 (水) 12 時 0 分 0 秒 (日本時間)

23×10135-173

c110

name 名前Dmitry Domanov
date 日付December 16, 2009 21:10:02 UTC 2009 年 12 月 17 日 (木) 6 時 10 分 2 秒 (日本時間)
composite number 合成数
47917795744027780378413304806221669354275218945932946509109283412132135919751097227147273714466857302391261693<110>
prime factors 素因数
1905320850171848469909562071495906961196008761575322601<55>
25149462747812728594322660597906703351892283482122779893<56>
factorization results 素因数分解の結果
N=47917795744027780378413304806221669354275218945932946509109283412132135919751097227147273714466857302391261693
  ( 110 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=1905320850171848469909562071495906961196008761575322601 (pp55)
 r2=25149462747812728594322660597906703351892283482122779893 (pp56)
Version: Msieve-1.40
Total time: 3.71 hours.
Scaled time: 6.97 units (timescale=1.877).
Factorization parameters were as follows:
n: 47917795744027780378413304806221669354275218945932946509109283412132135919751097227147273714466857302391261693
m: 1000000000000000000000000000
deg: 5
c5: 23
c0: -17
skew: 0.94
type: snfs
lss: 1
rlim: 1310000
alim: 1310000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1310000/1310000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [655000, 1330001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 155675 x 155900
Total sieving time: 3.59 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1310000,1310000,26,26,48,48,2.3,2.3,75000
total time: 3.71 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
3025e40--
351e6118 / 904Makoto KamadaDecember 16, 2009 03:00:00 UTC 2009 年 12 月 16 日 (水) 12 時 0 分 0 秒 (日本時間)

23×10139-173

c94

name 名前Sinkiti Sibata
date 日付December 16, 2009 12:24:18 UTC 2009 年 12 月 16 日 (水) 21 時 24 分 18 秒 (日本時間)
composite number 合成数
9867912970111695460549107729778455971521528100356802580128959817623419385028243844407302888829<94>
prime factors 素因数
371170686541166156016178439269165816819121<42>
26585916743770808161710550311179305870423365914583949<53>
factorization results 素因数分解の結果
Wed Dec 16 18:14:05 2009  Msieve v. 1.42
Wed Dec 16 18:14:05 2009  random seeds: a37cea14 4740c28b
Wed Dec 16 18:14:05 2009  factoring 9867912970111695460549107729778455971521528100356802580128959817623419385028243844407302888829 (94 digits)
Wed Dec 16 18:14:06 2009  searching for 15-digit factors
Wed Dec 16 18:14:07 2009  commencing quadratic sieve (94-digit input)
Wed Dec 16 18:14:07 2009  using multiplier of 5
Wed Dec 16 18:14:07 2009  using 32kb Intel Core sieve core
Wed Dec 16 18:14:07 2009  sieve interval: 36 blocks of size 32768
Wed Dec 16 18:14:07 2009  processing polynomials in batches of 6
Wed Dec 16 18:14:07 2009  using a sieve bound of 2092049 (77647 primes)
Wed Dec 16 18:14:07 2009  using large prime bound of 297070958 (28 bits)
Wed Dec 16 18:14:07 2009  using double large prime bound of 1782987509181578 (42-51 bits)
Wed Dec 16 18:14:07 2009  using trial factoring cutoff of 51 bits
Wed Dec 16 18:14:07 2009  polynomial 'A' values have 12 factors
Wed Dec 16 21:09:09 2009  77957 relations (19573 full + 58384 combined from 1128063 partial), need 77743
Wed Dec 16 21:09:10 2009  begin with 1147636 relations
Wed Dec 16 21:09:12 2009  reduce to 200886 relations in 11 passes
Wed Dec 16 21:09:12 2009  attempting to read 200886 relations
Wed Dec 16 21:09:15 2009  recovered 200886 relations
Wed Dec 16 21:09:15 2009  recovered 182269 polynomials
Wed Dec 16 21:09:15 2009  attempting to build 77957 cycles
Wed Dec 16 21:09:15 2009  found 77957 cycles in 6 passes
Wed Dec 16 21:09:15 2009  distribution of cycle lengths:
Wed Dec 16 21:09:15 2009     length 1 : 19573
Wed Dec 16 21:09:15 2009     length 2 : 13851
Wed Dec 16 21:09:15 2009     length 3 : 13195
Wed Dec 16 21:09:15 2009     length 4 : 10679
Wed Dec 16 21:09:15 2009     length 5 : 7717
Wed Dec 16 21:09:15 2009     length 6 : 5129
Wed Dec 16 21:09:15 2009     length 7 : 3326
Wed Dec 16 21:09:15 2009     length 9+: 4487
Wed Dec 16 21:09:15 2009  largest cycle: 21 relations
Wed Dec 16 21:09:16 2009  matrix is 77647 x 77957 (20.5 MB) with weight 5073118 (65.08/col)
Wed Dec 16 21:09:16 2009  sparse part has weight 5073118 (65.08/col)
Wed Dec 16 21:09:17 2009  filtering completed in 3 passes
Wed Dec 16 21:09:17 2009  matrix is 73626 x 73690 (19.5 MB) with weight 4814531 (65.33/col)
Wed Dec 16 21:09:17 2009  sparse part has weight 4814531 (65.33/col)
Wed Dec 16 21:09:17 2009  saving the first 48 matrix rows for later
Wed Dec 16 21:09:17 2009  matrix is 73578 x 73690 (12.6 MB) with weight 3834182 (52.03/col)
Wed Dec 16 21:09:17 2009  sparse part has weight 2868194 (38.92/col)
Wed Dec 16 21:09:17 2009  matrix includes 64 packed rows
Wed Dec 16 21:09:17 2009  using block size 29476 for processor cache size 1024 kB
Wed Dec 16 21:09:18 2009  commencing Lanczos iteration
Wed Dec 16 21:09:18 2009  memory use: 12.5 MB
Wed Dec 16 21:09:56 2009  lanczos halted after 1165 iterations (dim = 73576)
Wed Dec 16 21:09:56 2009  recovered 17 nontrivial dependencies
Wed Dec 16 21:09:57 2009  prp42 factor: 371170686541166156016178439269165816819121
Wed Dec 16 21:09:57 2009  prp53 factor: 26585916743770808161710550311179305870423365914583949
Wed Dec 16 21:09:57 2009  elapsed time 02:55:52

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 16, 2009 03:00:00 UTC 2009 年 12 月 16 日 (水) 12 時 0 分 0 秒 (日本時間)

23×10140-173

c136

name 名前Dmitry Domanov
date 日付December 16, 2009 21:08:59 UTC 2009 年 12 月 17 日 (木) 6 時 8 分 59 秒 (日本時間)
composite number 合成数
3541627208320052231302133137465950334067836019580578948259906162277358685224793238263740358689844306988246417182127409268900355548574957<136>
prime factors 素因数
12092697592643045806310843800295173<35>
292873213870386294147063822532631373146765490196977576713937119242887016739140553003906553448857860809<102>
factorization results 素因数分解の結果
N=3541627208320052231302133137465950334067836019580578948259906162277358685224793238263740358689844306988246417182127409268900355548574957
  ( 136 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=12092697592643045806310843800295173 (pp35)
 r2=292873213870386294147063822532631373146765490196977576713937119242887016739140553003906553448857860809 (pp102)
Version: Msieve-1.40
Total time: 4.50 hours.
Scaled time: 8.89 units (timescale=1.976).
Factorization parameters were as follows:
n: 3541627208320052231302133137465950334067836019580578948259906162277358685224793238263740358689844306988246417182127409268900355548574957
m: 10000000000000000000000000000
deg: 5
c5: 23
c0: -17
skew: 0.94
type: snfs
lss: 1
rlim: 1590000
alim: 1590000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1590000/1590000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [795000, 1595001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 195465 x 195690
Total sieving time: 4.35 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1590000,1590000,26,26,48,48,2.3,2.3,100000
total time: 4.50 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 KamadaDecember 16, 2009 03:00:00 UTC 2009 年 12 月 16 日 (水) 12 時 0 分 0 秒 (日本時間)

23×10145-173

c139

name 名前Serge Batalov
date 日付December 16, 2009 05:20:14 UTC 2009 年 12 月 16 日 (水) 14 時 20 分 14 秒 (日本時間)
composite number 合成数
1275125665158908183961093498761262540507485267627726662887083314643040295650858484729696560729392726003508513811709366993856705114422043277<139>
prime factors 素因数
1256710869813684340075674424685443<34>
composite cofactor 合成数の残り
1014653167874607433393138777593797766888773887153826194843762435948768275207619865105895761692478221477039<106>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=31174486
Step 1 took 6084ms
Step 2 took 3536ms
********** Factor found in step 2: 1256710869813684340075674424685443
Found probable prime factor of 34 digits: 1256710869813684340075674424685443
Composite cofactor has 106 digits

c106

name 名前Robert Backstrom
date 日付December 17, 2009 11:05:36 UTC 2009 年 12 月 17 日 (木) 20 時 5 分 36 秒 (日本時間)
composite number 合成数
1014653167874607433393138777593797766888773887153826194843762435948768275207619865105895761692478221477039<106>
prime factors 素因数
352755190695254784102272351641732783<36>
2876366371462316267559577405110123487885940029900306706265095862354433<70>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 1014653167874607433393138777593797766888773887153826194843762435948768275207619865105895761692478221477039 (106 digits)
Using B1=6248000, B2=14271184210, polynomial Dickson(12), sigma=1751604143
Step 1 took 43078ms
Step 2 took 20937ms
********** Factor found in step 2: 352755190695254784102272351641732783
Found probable prime factor of 36 digits: 352755190695254784102272351641732783
Probable prime cofactor 2876366371462316267559577405110123487885940029900306706265095862354433 has 70 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 16, 2009 03:00:00 UTC 2009 年 12 月 16 日 (水) 12 時 0 分 0 秒 (日本時間)

23×10149-173

c116

name 名前Serge Batalov
date 日付December 16, 2009 05:44:14 UTC 2009 年 12 月 16 日 (水) 14 時 44 分 14 秒 (日本時間)
composite number 合成数
24902525444201593623169590206087716266003766898583268203352000369478243901071850776771368307181496385918397158532397<116>
prime factors 素因数
282319935301119438794660871407<30>
38746341941048510460017005102921493<35>
2276518268891766986132754409859082639389235326181847<52>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=2296079492
Step 1 took 5028ms
Step 2 took 2753ms
********** Factor found in step 2: 38746341941048510460017005102921493
Found probable prime factor of 35 digits: 38746341941048510460017005102921493

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1494950385
Step 1 took 4837ms
Step 2 took 2800ms
********** Factor found in step 2: 282319935301119438794660871407
Found probable prime factor of 30 digits: 282319935301119438794660871407

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 16, 2009 03:00:00 UTC 2009 年 12 月 16 日 (水) 12 時 0 分 0 秒 (日本時間)

23×10152-173

c137

name 名前Sinkiti Sibata
date 日付January 28, 2010 09:16:45 UTC 2010 年 1 月 28 日 (木) 18 時 16 分 45 秒 (日本時間)
composite number 合成数
97581947477564643593089110331299517314728382133342074762330424548557049626354737877510091633647350297614226339266010777982453292304929791<137>
prime factors 素因数
36960188855602750633211324135404175644311274063<47>
2640190715983647182779832355753067781879462200688202092679027690812006493721577008444741457<91>
factorization results 素因数分解の結果
Number: 76661_152
N=97581947477564643593089110331299517314728382133342074762330424548557049626354737877510091633647350297614226339266010777982453292304929791
  ( 137 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=36960188855602750633211324135404175644311274063 (pp47)
 r2=2640190715983647182779832355753067781879462200688202092679027690812006493721577008444741457 (pp91)
Version: Msieve-1.40
Total time: 25.30 hours.
Scaled time: 55.13 units (timescale=2.179).
Factorization parameters were as follows:
name: 76661_152
n: 97581947477564643593089110331299517314728382133342074762330424548557049626354737877510091633647350297614226339266010777982453292304929791
m: 1000000000000000000000000000000
deg: 5
c5: 2300
c0: -17
skew: 0.37
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, 2350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 453242 x 453490
Total sieving time: 24.42 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.51 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 25.30 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10153-173

c93

name 名前Robert Backstrom
date 日付January 27, 2010 11:27:05 UTC 2010 年 1 月 27 日 (水) 20 時 27 分 5 秒 (日本時間)
composite number 合成数
117831661486397224618951979782112340729790914914191743977124814790368126139876447236250651957<93>
prime factors 素因数
139338087398073701499607400367444047<36>
845652927255740447206521113411422218876395124849771529531<57>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 117831661486397224618951979782112340729790914914191743977124814790368126139876447236250651957 (93 digits)
Using B1=1596000, B2=2140202620, polynomial Dickson(6), sigma=506009600
Step 1 took 9906ms
Step 2 took 4954ms
********** Factor found in step 2: 139338087398073701499607400367444047
Found probable prime factor of 36 digits: 139338087398073701499607400367444047
Probable prime cofactor 845652927255740447206521113411422218876395124849771529531 has 57 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10154-173

c102

name 名前Dmitry Domanov
date 日付January 27, 2010 22:52:53 UTC 2010 年 1 月 28 日 (木) 7 時 52 分 53 秒 (日本時間)
composite number 合成数
159310337672533363108700617100095548450081934064903718204621302737571183956824919115411685512414745457<102>
prime factors 素因数
12414717473821194034119539271712046513939<41>
12832377217481563826654572419663842908396469769214255375990763<62>
factorization results 素因数分解の結果
Number: g1
N=159310337672533363108700617100095548450081934064903718204621302737571183956824919115411685512414745457
  ( 102 digits)
Divisors found:
 r1=12414717473821194034119539271712046513939 (pp41)
 r2=12832377217481563826654572419663842908396469769214255375990763 (pp62)
Version: Msieve-1.40
Total time: 5.04 hours.
Scaled time: 9.07 units (timescale=1.798).
Factorization parameters were as follows:
name: g1
n: 159310337672533363108700617100095548450081934064903718204621302737571183956824919115411685512414745457
skew: 4879.72
# norm 8.37e+013
c5: 68040
c4: 1459968468
c3: 2274624827416
c2: -36883645829236509
c1: 32978013798099150526
c0: 36125537691963753866423
# alpha -5.33
Y1: 26266970743
Y0: -18788552604276768928
# Murphy_E 2.98e-009
# M 108917615784565156835468903241576693388517817502126863080335750591740126376177753398924995891248213897
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 205285 x 205511
Polynomial selection time: 0.52 hours.
Total sieving time: 4.37 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 5.04 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 KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10156-173

c131

name 名前Markus Tervooren
date 日付January 27, 2010 19:12:39 UTC 2010 年 1 月 28 日 (木) 4 時 12 分 39 秒 (日本時間)
composite number 合成数
15374703613439584692253222432875289731628973724834136030060999223286157440912749623275961253659373197290075975727065229000813292417<131>
prime factors 素因数
88427496717051469345371419797237<32>
1402707904580288025949330243888759763<37>
123951611451120157212443996424564242812220410225728150491070607<63>
factorization results 素因数分解の結果
N=15374703613439584692253222432875289731628973724834136030060999223286157440912749623275961253659373197290075975727065229000813292417
  ( 131 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=88427496717051469345371419797237 (pp32)
 r2=1402707904580288025949330243888759763 (pp37)
 r3=123951611451120157212443996424564242812220410225728150491070607 (pp63)
Version: Msieve-1.39
Total time: 11.64 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 15374703613439584692253222432875289731628973724834136030060999223286157440912749623275961253659373197290075975727065229000813292417
m: 10000000000000000000000000000000
deg: 5
c5: 230
c0: -17
skew: 0.59
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4

Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [1750000, 2950001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 444752 x 444989
Total sieving time: 11.19 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.30 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,52,52,2.4,2.4,600000
total time: 11.64 hours.
 --------- CPU info (if available) ----------
[    0.140008] CPU0: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.232014] CPU1: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.327276] CPU2: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.424216] CPU3: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.004000] Memory: 8197988k/10485760k available (2226k kernel code, 189848k reserved, 1082k data, 392k init)
[    0.083992] Calibrating delay using timer specific routine.. 6404.33 BogoMIPS (lpj=12808671)
[    0.152009] Calibrating delay using timer specific routine.. 6336.82 BogoMIPS (lpj=12673655)
[    0.244015] Calibrating delay using timer specific routine.. 6400.01 BogoMIPS (lpj=12800021)
[    0.343800] Calibrating delay using timer specific routine.. 6400.00 BogoMIPS (lpj=12800010)
[    0.428936] Total of 4 processors activated (25541.17 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10157-173

c131

name 名前Sinkiti Sibata
date 日付January 29, 2010 23:12:56 UTC 2010 年 1 月 30 日 (土) 8 時 12 分 56 秒 (日本時間)
composite number 合成数
78392463619690500649615081755234852646666648702514160791242601311832273605149400825847408950697862269392124192008178339067912951283<131>
prime factors 素因数
705715186338595798300688933174453867428473199871<48>
111082296565570153065860168699909756750771677334054742123983078970310151864736981773<84>
factorization results 素因数分解の結果
Number: 76661_157
N=78392463619690500649615081755234852646666648702514160791242601311832273605149400825847408950697862269392124192008178339067912951283
  ( 131 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=705715186338595798300688933174453867428473199871 (pp48)
 r2=111082296565570153065860168699909756750771677334054742123983078970310151864736981773 (pp84)
Version: Msieve-1.40
Total time: 37.01 hours.
Scaled time: 82.24 units (timescale=2.222).
Factorization parameters were as follows:
name: 76661_157
n: 78392463619690500649615081755234852646666648702514160791242601311832273605149400825847408950697862269392124192008178339067912951283
m: 10000000000000000000000000000000
deg: 5
c5: 2300
c0: -17
skew: 0.37
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, 3150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 553359 x 553607
Total sieving time: 35.45 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.98 hours.
Time per square root: 0.48 hours.
Prototype def-par.txt line would be:
snfs,158.000,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 37.01 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10158-173

c125

name 名前Sinkiti Sibata
date 日付January 30, 2010 12:35:47 UTC 2010 年 1 月 30 日 (土) 21 時 35 分 47 秒 (日本時間)
composite number 合成数
62781445441451616818564035059143036123874728941059853132100717358388208977586896305891358797060339476869927577220075358241557<125>
prime factors 素因数
13441844948815676974407063212244182269<38>
4670597353303283922148986178257089718515718043074093206958869665845680482949383478197753<88>
factorization results 素因数分解の結果
Number: 76661_158
N=62781445441451616818564035059143036123874728941059853132100717358388208977586896305891358797060339476869927577220075358241557
  ( 125 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=13441844948815676974407063212244182269 (pp38)
 r2=4670597353303283922148986178257089718515718043074093206958869665845680482949383478197753 (pp88)
Version: Msieve-1.40
Total time: 35.99 hours.
Scaled time: 86.32 units (timescale=2.398).
Factorization parameters were as follows:
name: 76661_158
n: 62781445441451616818564035059143036123874728941059853132100717358388208977586896305891358797060339476869927577220075358241557
m: 10000000000000000000000000000000
deg: 5
c5: 23000
c0: -17
skew: 0.24
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1600000, 3200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 640046 x 640294
Total sieving time: 34.82 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.94 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,159.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 35.99 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10159-173

c86

name 名前Robert Backstrom
date 日付January 27, 2010 10:37:38 UTC 2010 年 1 月 27 日 (水) 19 時 37 分 38 秒 (日本時間)
composite number 合成数
11157788347534646711977230674104803729864097169867628019484622146330974815728306445067<86>
prime factors 素因数
116196929418465622948054417118637161<36>
96024812388557736989153681024268786028125711838547<50>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 11157788347534646711977230674104803729864097169867628019484622146330974815728306445067 (86 digits)
Using B1=970000, B2=871244232, polynomial Dickson(3), sigma=1662823195
Step 1 took 5187ms
Step 2 took 2547ms
********** Factor found in step 2: 116196929418465622948054417118637161
Found probable prime factor of 36 digits: 116196929418465622948054417118637161
Probable prime cofactor 96024812388557736989153681024268786028125711838547 has 50 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10160-173

c111

name 名前Sinkiti Sibata
date 日付January 29, 2010 08:34:37 UTC 2010 年 1 月 29 日 (金) 17 時 34 分 37 秒 (日本時間)
composite number 合成数
201374452336863277413293047604119104787755547981723849764110624965930874700460595101693836147577424995590288011<111>
prime factors 素因数
18267902423259939658293872602285994189143<41>
11023403107324439521194147082550423742755233307327936199862416232068077<71>
factorization results 素因数分解の結果
Number: 76661_160
N=201374452336863277413293047604119104787755547981723849764110624965930874700460595101693836147577424995590288011
  ( 111 digits)
Divisors found:
 r1=18267902423259939658293872602285994189143 (pp41)
 r2=11023403107324439521194147082550423742755233307327936199862416232068077 (pp71)
Version: Msieve-1.40
Total time: 22.41 hours.
Scaled time: 46.59 units (timescale=2.079).
Factorization parameters were as follows:
name: 76661_160
n: 201374452336863277413293047604119104787755547981723849764110624965930874700460595101693836147577424995590288011
skew: 33849.05
# norm 3.35e+15
c5: 60720
c4: 3805412726
c3: -208287051118463
c2: -4204805201120513026
c1: 105350366888466402595448
c0: 765006929958516119641791920
# alpha -6.26
Y1: 381077797549
Y0: -1270962947635963669863
# Murphy_E 8.67e-10
# M 118608646595283962848410654677464278176863000830747569002746750714120803994258453311889407973340583670396062851
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 409799 x 410047
Polynomial selection time: 1.68 hours.
Total sieving time: 19.99 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.40 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 22.41 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10161-173

c99

name 名前Dmitry Domanov
date 日付January 27, 2010 16:48:44 UTC 2010 年 1 月 28 日 (木) 1 時 48 分 44 秒 (日本時間)
composite number 合成数
204384882494457707453823021716962009952813520784068308792727324567739489569517346224078473931754537<99>
prime factors 素因数
40171850879476749341179521589574975917<38>
5087763645933355688426784514986056640824676150024081214970861<61>
factorization results 素因数分解の結果
Number: g3
N=204384882494457707453823021716962009952813520784068308792727324567739489569517346224078473931754537
  ( 99 digits)
Divisors found:
 r1=40171850879476749341179521589574975917 (pp38)
 r2=5087763645933355688426784514986056640824676150024081214970861 (pp61)
Version: Msieve-1.40
Total time: 3.05 hours.
Scaled time: 5.88 units (timescale=1.928).
Factorization parameters were as follows:
name: g3
n: 204384882494457707453823021716962009952813520784068308792727324567739489569517346224078473931754537
skew: 2413.80
# norm 1.63e+013
c5: 108000
c4: 253980290
c3: -3557827867293
c2: -2041305379753898
c1: 5742089914779331846
c0: -848442597896377144920
# alpha -5.04
Y1: 3066398203
Y0: -4522773765362302937
# Murphy_E 4.29e-009
# M 173190097563136543854410754118390792865855970163636333568522048743254867636703547050309758842281697
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, 1300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 231240 x 231482
Polynomial selection time: 0.33 hours.
Total sieving time: 2.58 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,98,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 3.05 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10162-173

c159

name 名前Wataru Sakai
date 日付January 29, 2010 11:24:47 UTC 2010 年 1 月 29 日 (金) 20 時 24 分 47 秒 (日本時間)
composite number 合成数
945218427649693831422348251345908848066411868655735010068631077138042986890231373032507294620474253071959889861504952122631816874203756215838573131138782723051<159>
prime factors 素因数
42037340936085976756469619244297397<35>
22485209735002364898887039374938688618411865724363917165852967483126609385261225585106492383819638396100684067896775409060383<125>
factorization results 素因数分解の結果
Number: 76661_162
N=945218427649693831422348251345908848066411868655735010068631077138042986890231373032507294620474253071959889861504952122631816874203756215838573131138782723051
  ( 159 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=42037340936085976756469619244297397
 r2=22485209735002364898887039374938688618411865724363917165852967483126609385261225585106492383819638396100684067896775409060383
Version: 
Total time: 60.31 hours.
Scaled time: 121.29 units (timescale=2.011).
Factorization parameters were as follows:
n: 945218427649693831422348251345908848066411868655735010068631077138042986890231373032507294620474253071959889861504952122631816874203756215838573131138782723051
m: 100000000000000000000000000000000
deg: 5
c5: 2300
c0: -17
skew: 0.37
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1850000, 4050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 577477 x 577725
Total sieving time: 60.31 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,163,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 60.31 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 KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10163-173

c157

name 名前Serge Batalov
date 日付January 27, 2010 13:00:13 UTC 2010 年 1 月 27 日 (水) 22 時 0 分 13 秒 (日本時間)
composite number 合成数
2351425847893234388605202991794760845320416685337499078471098415319936074341370987390192630134526197352942670918985169996791735020315757028312179344108200431<157>
prime factors 素因数
525489356360232703461442033<27>
composite cofactor 合成数の残り
4474735443131008618662460508452540282078855721875547467522811386637208723923503501506937414625997423651732578037415522750564221407<130>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=586842896
Step 1 took 7117ms
Step 2 took 3828ms
********** Factor found in step 2: 525489356360232703461442033
Found probable prime factor of 27 digits: 525489356360232703461442033
Composite cofactor has 130 digits

c130

name 名前Sinkiti Sibata
date 日付February 2, 2010 05:19:45 UTC 2010 年 2 月 2 日 (火) 14 時 19 分 45 秒 (日本時間)
composite number 合成数
4474735443131008618662460508452540282078855721875547467522811386637208723923503501506937414625997423651732578037415522750564221407<130>
prime factors 素因数
3664727344666035717600284031602424687857082107022953<52>
1221028202723984211211486678887345447408841954197363001286579529748294718330119<79>
factorization results 素因数分解の結果
Number: 76661_163
N=4474735443131008618662460508452540282078855721875547467522811386637208723923503501506937414625997423651732578037415522750564221407
  ( 130 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=3664727344666035717600284031602424687857082107022953 (pp52)
 r2=1221028202723984211211486678887345447408841954197363001286579529748294718330119 (pp79)
Version: Msieve-1.40
Total time: 50.23 hours.
Scaled time: 162.06 units (timescale=3.226).
Factorization parameters were as follows:
name: 76661_163
n: 4474735443131008618662460508452540282078855721875547467522811386637208723923503501506937414625997423651732578037415522750564221407
m: 100000000000000000000000000000000
deg: 5
c5: 23000
c0: -17
skew: 0.24
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, 4300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 748533 x 748781
Total sieving time: 48.88 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.09 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 50.23 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10164-173

c107

name 名前Dmitry Domanov
date 日付January 27, 2010 19:23:03 UTC 2010 年 1 月 28 日 (木) 4 時 23 分 3 秒 (日本時間)
composite number 合成数
78344873613970125615807836182430287228461281274661695523867571490683777520820698544004041303749019560863119<107>
prime factors 素因数
1398828521483565052663992785682652517677<40>
56007489417558752396948031236981384294503806760102571949206055899947<68>
factorization results 素因数分解の結果
N=78344873613970125615807836182430287228461281274661695523867571490683777520820698544004041303749019560863119
  ( 107 digits)
Divisors found:
 r1=1398828521483565052663992785682652517677 (pp40)
 r2=56007489417558752396948031236981384294503806760102571949206055899947 (pp68)
Version: Msieve-1.40
Total time: 7.41 hours.
Scaled time: 13.67 units (timescale=1.845).
Factorization parameters were as follows:
name: 107
n: 78344873613970125615807836182430287228461281274661695523867571490683777520820698544004041303749019560863119
skew: 22239.22
# norm 1.13e+015
c5: 40320
c4: 2239062970
c3: -83247073643997
c2: -1270945497712701197
c1: 19189992728702462318073
c0: -48446584603547532082198427
# alpha -6.60
Y1: 94578987877
Y0: -286877456676543628002
# Murphy_E 1.46e-009
# M 64282164067234324273319288170187560209633408741540600073955567917271669993786962074759199358849530908451280
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 323522 x 323747
Total sieving time: 7.19 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 7.41 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 KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10165-173

c127

name 名前Jo Yeong Uk
date 日付January 30, 2010 15:06:11 UTC 2010 年 1 月 31 日 (日) 0 時 6 分 11 秒 (日本時間)
composite number 合成数
7855256903078004364021293429533312726153853498888477234884217918066220310206335605061178815015245194751299815157556389032664951<127>
prime factors 素因数
26280409962072781797340946561<29>
48850025924456804664319906844398801<35>
6118760561463334223069025510319538081309707764571812468539973191<64>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 5.0.0] [ECM]
Input number is 7855256903078004364021293429533312726153853498888477234884217918066220310206335605061178815015245194751299815157556389032664951 (127 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2502790169
Step 1 took 3317ms
Step 2 took 2069ms
********** Factor found in step 2: 26280409962072781797340946561
Found probable prime factor of 29 digits: 26280409962072781797340946561
Composite cofactor 298901612053027750536731438141465083146424732394720976884848088813068272812473238319643629052543991 has 99 digits

Number: 76661_165
N=298901612053027750536731438141465083146424732394720976884848088813068272812473238319643629052543991
  ( 99 digits)
Divisors found:
 r1=48850025924456804664319906844398801
 r2=6118760561463334223069025510319538081309707764571812468539973191
Version: 
Total time: 2.06 hours.
Scaled time: 4.92 units (timescale=2.387).
Factorization parameters were as follows:
name: 76661_165
n: 298901612053027750536731438141465083146424732394720976884848088813068272812473238319643629052543991
skew: 10937.31
# norm 7.27e+13
c5: 21840
c4: -460302348
c3: -7848880403300
c2: 57145098247610023
c1: 365741713169510423716
c0: -556529066329403712413931
# alpha -6.40
Y1: 1743519019
Y0: -6718241320848326360
# Murphy_E 4.04e-09
# M 153768546492080771333699297880097325367663157251691763058604161186000213403928363592773448240023736
type: gnfs
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [500000, 900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 3967271
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 178918 x 179166
Polynomial selection time: 0.14 hours.
Total sieving time: 1.68 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,98,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1000000,1000000,26,26,49,49,2.5,2.5,50000
total time: 2.06 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046640k/8912896k available (2550k kernel code, 339524k reserved, 1291k data, 208k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.56 BogoMIPS (lpj=2672784)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672377)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.70 BogoMIPS (lpj=2672353)
software ソフトウェア
GMP-ECM v6.2.3 / 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 KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10167-173

c149

name 名前anonymous
date 日付February 4, 2010 10:40:45 UTC 2010 年 2 月 4 日 (木) 19 時 40 分 45 秒 (日本時間)
composite number 合成数
24780893039534453741144883476572617109843741684098905923697294991430645783377262145287166969150802829433740961711031650516551918446258755748713974517<149>
prime factors 素因数
663313218196704676142757391872125835049<39>
37359263104848472944456836700374276380989732882251239918836589246033602367372330374949564473041790112113937133<110>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3205110423
Step 1 took 12253ms
Step 2 took 5804ms
********** Factor found in step 2: 663313218196704676142757391872125835049
Found probable prime factor of 39 digits: 663313218196704676142757391872125835049
Probable prime cofactor 37359263104848472944456836700374276380989732882251239918836589246033602367372330374949564473041790112113937133 has 110 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10168-173

c146

name 名前Sinkiti Sibata
date 日付February 8, 2010 00:45:44 UTC 2010 年 2 月 8 日 (月) 9 時 45 分 44 秒 (日本時間)
composite number 合成数
23440533430477603100112546216905463474947056729406311385217572441380031344656311408910513242629167703564467654239546093146299982601245117279581521<146>
prime factors 素因数
1410561579054509409638991384309227<34>
16617873177993154911902296858414008126445797948983355245736096766872321435972165965668013643519451718379052895923<113>
factorization results 素因数分解の結果
Number: 76661_168
N=23440533430477603100112546216905463474947056729406311385217572441380031344656311408910513242629167703564467654239546093146299982601245117279581521
  ( 146 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=1410561579054509409638991384309227 (pp34)
 r2=16617873177993154911902296858414008126445797948983355245736096766872321435972165965668013643519451718379052895923 (pp113)
Version: Msieve-1.40
Total time: 84.90 hours.
Scaled time: 173.88 units (timescale=2.048).
Factorization parameters were as follows:
name: 76661_168
n: 23440533430477603100112546216905463474947056729406311385217572441380031344656311408910513242629167703564467654239546093146299982601245117279581521
m: 1000000000000000000000000000000000
deg: 5
c5: 23000
c0: -17
skew: 0.24
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2350000, 5750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 979385 x 979633
Total sieving time: 81.59 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 2.32 hours.
Time per square root: 0.84 hours.
Prototype def-par.txt line would be:
snfs,169.000,5,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.4,2.4,100000
total time: 84.90 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10169-173

c155

name 名前Sinkiti Sibata
date 日付February 8, 2010 05:38:56 UTC 2010 年 2 月 8 日 (月) 14 時 38 分 56 秒 (日本時間)
composite number 合成数
16840538694990620721143452699100902772534107110175822713258606913698514150450652874190155122072009019929507911136717336824533754080636210989238779666358197<155>
prime factors 素因数
498647096749068134873296349400135270108627195971<48>
33772459129477709323591358714030829604808658328695603478141998908761665619955368494047343053942975801738407<107>
factorization results 素因数分解の結果
Number: 76661_169
N=16840538694990620721143452699100902772534107110175822713258606913698514150450652874190155122072009019929507911136717336824533754080636210989238779666358197
  ( 155 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=498647096749068134873296349400135270108627195971 (pp48)
 r2=33772459129477709323591358714030829604808658328695603478141998908761665619955368494047343053942975801738407 (pp107)
Version: Msieve-1.40
Total time: 92.00 hours.
Scaled time: 214.46 units (timescale=2.331).
Factorization parameters were as follows:
name: 76661_169
n: 16840538694990620721143452699100902772534107110175822713258606913698514150450652874190155122072009019929507911136717336824533754080636210989238779666358197
m: 1000000000000000000000000000000000
deg: 5
c5: 230000
c0: -17
skew: 0.15
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2400000, 6100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1015196 x 1015444
Total sieving time: 88.63 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 2.50 hours.
Time per square root: 0.73 hours.
Prototype def-par.txt line would be:
snfs,170.000,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000
total time: 92.00 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10170-173

c122

name 名前juno1369
date 日付February 9, 2010 12:25:02 UTC 2010 年 2 月 9 日 (火) 21 時 25 分 2 秒 (日本時間)
composite number 合成数
10738410515985276963616778741742732864436025857368239129597963168383002404395551931663672758424215577336082131018156212103<122>
prime factors 素因数
256551639470963681939334137657421937474915785308921911043147<60>
41856721469911487512414942987770398151901336390560772704285749<62>
factorization results 素因数分解の結果
Number: 76661_170
N = 10738410515985276963616778741742732864436025857368239129597963168383002404395551931663672758424215577336082131018156212103 (122 digits)
SNFS difficulty: 172 digits.
Divisors found:
r1=256551639470963681939334137657421937474915785308921911043147 (pp60)
r2=41856721469911487512414942987770398151901336390560772704285749 (pp62)
Version: Msieve v. 1.43
Total time: 42.13 hours.
Factorization parameters were as follows:
n: 10738410515985276963616778741742732864436025857368239129597963168383002404395551931663672758424215577336082131018156212103 
m: 10000000000000000000000000000000000 
deg: 5 
c5: 23 
c0: -17 
skew: 0.94 
type: snfs 
lss: 1 
rlim: 5000000 
alim: 5000000 
lpbr: 27 
lpba: 27 
mfbr: 52 
mfba: 52 
rlambda: 2.4 
alambda: 2.4
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [2500000, 5200000)
Total raw relations: 11805524
Relations: 1150128 relations
Pruned matrix : 740625 x 740854
Polynomial selection time: 0.00 hours.
Total sieving time: 40.38 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.50 hours.
time per square root: 0.15 hours.
Prototype def-par.txt line would be: snfs,172,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 42.13 hours.
 --------- CPU info (if available) ----------
.)
software ソフトウェア
GGNFS + Msieve
execution environment 実行環境
Command Prompt (with Python 3.1.1)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10171-173

c126

name 名前Markus Tervooren
date 日付February 13, 2010 01:53:17 UTC 2010 年 2 月 13 日 (土) 10 時 53 分 17 秒 (日本時間)
composite number 合成数
167647382770758905890749762181801467912739389942628774395817817030481019789921739351098763405087712291487653332849739181939081<126>
prime factors 素因数
5644791000106871925756787261282977137391179<43>
29699484492443540387776709808421946398807884186657643079779721979734126210237618939<83>
factorization results 素因数分解の結果
~40 hours of sieving, 19M relations

Msieve v. 1.44
Sat Feb 13 00:54:21 2010
random seeds: 607a6a74 3552d5a9
factoring 167647382770758905890749762181801467912739389942628774395817817030481019789921739351098763405087712291487653332849739181939081 (126 digits)
searching for 15-digit factors
commencing number field sieve (126-digit input)
R0: -10000000000000000000000000000000000
R1:  1
A0: -17
A1:  0
A2:  0
A3:  0
A4:  0
A5:  230
skew 0.59, size 4.512446e-12, alpha 0.625341, combined = 2.056740e-10

commencing relation filtering
estimated available RAM is 8010.2 MB
commencing duplicate removal, pass 1
found 2147205 hash collisions in 19750121 relations
added 6575 free relations
commencing duplicate removal, pass 2
found 1723515 duplicates and 18033181 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 376.5 MB
reading all ideals from disk
memory use: 535.8 MB
keeping 19493259 ideals with weight <= 200, target excess is 116010
commencing in-memory singleton removal
begin with 18033181 relations and 19493259 unique ideals
reduce to 7435847 relations and 6462278 ideals in 15 passes
max relations containing the same ideal: 102
removing 1991930 relations and 1591930 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 5443917 relations and 6462278 unique ideals
reduce to 5110401 relations and 4515133 ideals in 10 passes
max relations containing the same ideal: 76
removing 1503186 relations and 1103186 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 3607215 relations and 4515133 unique ideals
reduce to 3312878 relations and 3094646 ideals in 9 passes
max relations containing the same ideal: 64
removing 443972 relations and 360312 ideals in 83660 cliques
commencing in-memory singleton removal
begin with 2868906 relations and 3094646 unique ideals
reduce to 2827495 relations and 2691970 ideals in 7 passes
max relations containing the same ideal: 58
relations with 0 large ideals: 2882
relations with 1 large ideals: 2314
relations with 2 large ideals: 31084
relations with 3 large ideals: 170216
relations with 4 large ideals: 484911
relations with 5 large ideals: 788496
relations with 6 large ideals: 773372
relations with 7+ large ideals: 574220
commencing 2-way merge
reduce to 1744485 relation sets and 1608959 unique ideals
commencing full merge
memory use: 193.5 MB
found 885477 cycles, need 867159
weight of 867159 cycles is about 60801525 (70.12/cycle)
distribution of cycle lengths:
1 relations: 101263
2 relations: 94882
3 relations: 95934
4 relations: 91025
5 relations: 86136
6 relations: 75870
7 relations: 65727
8 relations: 56100
9 relations: 46866
10+ relations: 153356
heaviest cycle: 20 relations
commencing cycle optimization
start with 5048640 relations
pruned 131196 relations
memory use: 164.8 MB
distribution of cycle lengths:
1 relations: 101263
2 relations: 96881
3 relations: 99038
4 relations: 93492
5 relations: 88650
6 relations: 77523
7 relations: 66799
8 relations: 56386
9 relations: 46768
10+ relations: 140359
heaviest cycle: 20 relations
RelProcTime: 452

commencing linear algebra
read 867159 cycles
cycles contain 2725956 unique relations
read 2725956 relations
using 20 quadratic characters above 268434774
building initial matrix
memory use: 341.4 MB
read 867159 cycles
matrix is 866980 x 867159 (259.0 MB) with weight 76990144 (88.78/col)
sparse part has weight 58362038 (67.30/col)
filtering completed in 2 passes
matrix is 866022 x 866201 (258.9 MB) with weight 76954201 (88.84/col)
sparse part has weight 58346879 (67.36/col)
read 866201 cycles
matrix is 866022 x 866201 (258.9 MB) with weight 76954201 (88.84/col)
sparse part has weight 58346879 (67.36/col)
saving the first 48 matrix rows for later
matrix is 865974 x 866201 (245.7 MB) with weight 60877968 (70.28/col)
sparse part has weight 55757747 (64.37/col)
matrix includes 64 packed rows
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (4 threads)
memory use: 259.1 MB
linear algebra at 0.2%, ETA 0h47m866201 dimensions (0.2%, ETA 0h47m)
linear algebra completed 865616 of 866201 dimensions (99.9%, ETA 0h 0m)
lanczos halted after 13694 iterations (dim = 865972)
recovered 37 nontrivial dependencies
BLanczosTime: 2952

commencing square root phase
reading relations for dependency 1
read 432280 cycles
cycles contain 1362694 unique relations
read 1362694 relations
multiplying 1362694 relations
multiply complete, coefficients have about 39.99 million bits
initial square root is modulo 551911
reading relations for dependency 2
read 433276 cycles
cycles contain 1361630 unique relations
read 1361630 relations
multiplying 1361630 relations
multiply complete, coefficients have about 39.96 million bits
initial square root is modulo 546691
sqrtTime: 340
prp43 factor: 5644791000106871925756787261282977137391179
prp83 factor: 29699484492443540387776709808421946398807884186657643079779721979734126210237618939
elapsed time 01:02:25
execution environment 実行環境
Core 2 Q6700, Linux 64 bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
786Max DettweilerFebruary 7, 2010 15:57:54 UTC 2010 年 2 月 8 日 (月) 0 時 57 分 54 秒 (日本時間)

23×10172-173

c139

name 名前Wataru Sakai
date 日付August 16, 2010 13:40:15 UTC 2010 年 8 月 16 日 (月) 22 時 40 分 15 秒 (日本時間)
composite number 合成数
5538180640773150030265339518087748067181051065216158336589382079210024736389050638629509998477810082302025942450142106536510669794866670073<139>
prime factors 素因数
1508838426399182560176851752847016015086998061<46>
3670492839972219332445888797584876908812133151992871042929839825922568768668405819612988666493<94>
factorization results 素因数分解の結果
Number: 76661_172
N=5538180640773150030265339518087748067181051065216158336589382079210024736389050638629509998477810082302025942450142106536510669794866670073
  ( 139 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=1508838426399182560176851752847016015086998061
 r2=3670492839972219332445888797584876908812133151992871042929839825922568768668405819612988666493
Version: 
Total time: 128.05 hours.
Scaled time: 257.76 units (timescale=2.013).
Factorization parameters were as follows:
n: 5538180640773150030265339518087748067181051065216158336589382079210024736389050638629509998477810082302025942450142106536510669794866670073
m: 10000000000000000000000000000000000
deg: 5
c5: 2300
c0: -17
skew: 0.37
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor 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, 7000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 965688 x 965936
Total sieving time: 128.05 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,173,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 128.05 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
351e6904118Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
786Wataru SakaiFebruary 3, 2010 05:06:32 UTC 2010 年 2 月 3 日 (水) 14 時 6 分 32 秒 (日本時間)
403e6378Ignacio SantosJuly 1, 2010 14:04:41 UTC 2010 年 7 月 1 日 (木) 23 時 4 分 41 秒 (日本時間)
4511e6500 / 4355Ignacio SantosJune 30, 2010 22:53:34 UTC 2010 年 7 月 1 日 (木) 7 時 53 分 34 秒 (日本時間)

23×10173-173

c147

name 名前Wataru Sakai
date 日付September 20, 2011 09:37:01 UTC 2011 年 9 月 20 日 (火) 18 時 37 分 1 秒 (日本時間)
composite number 合成数
413887923583949672858744519743879114101736989943425008375232277958027985808243424948543302790550840362366952778754500267252542636177340686921526099<147>
prime factors 素因数
1730036980861316846035298146795031770853<40>
239236460354674776587381037439765204764022521120441580108950019952440791654092489651268074890753236136820183<108>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1016976895
Step 1 took 69387ms
********** Factor found in step 1: 1730036980861316846035298146795031770853
Found probable prime factor of 40 digits: 1730036980861316846035298146795031770853
Probable prime cofactor 239236460354674776587381037439765204764022521120441580108950019952440791654092489651268074890753236136820183 has 108 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
786Max DettweilerFebruary 7, 2010 15:58:14 UTC 2010 年 2 月 8 日 (月) 0 時 58 分 14 秒 (日本時間)
403e6800Ignacio SantosMay 26, 2010 11:01:17 UTC 2010 年 5 月 26 日 (水) 20 時 1 分 17 秒 (日本時間)
4511e6230 / 4037Ignacio SantosMay 26, 2010 11:01:17 UTC 2010 年 5 月 26 日 (水) 20 時 1 分 17 秒 (日本時間)
5043e664 / 7466Ignacio SantosMay 26, 2010 11:01:17 UTC 2010 年 5 月 26 日 (水) 20 時 1 分 17 秒 (日本時間)

23×10174-173

c142

name 名前Warut Roonguthai
date 日付March 14, 2012 04:48:38 UTC 2012 年 3 月 14 日 (水) 13 時 48 分 38 秒 (日本時間)
composite number 合成数
4332665696339656968378809480706657023202707261817337701310508605113678509221112042556221023417001554204281543078441756845642808254512409545313<142>
prime factors 素因数
107023479120625975840452759770379697498845829<45>
40483319472882366790763458087671170136324575194711634768314952623948788968421708550057121486673197<98>
factorization results 素因数分解の結果
N = 4332665696339656968378809480706657023202707261817337701310508605113678509221112042556221023417001554204281543078441756845642808254512409545313 (142 digits)
SNFS difficulty: 176 digits.
Divisors found:
r1=107023479120625975840452759770379697498845829 (pp45)
r2=40483319472882366790763458087671170136324575194711634768314952623948788968421708550057121486673197 (pp98)
Version: Msieve v. 1.48
Total time: 40.00 hours.
Factorization parameters were as follows:
name: (23*10^174-17)/3
n: 4332665696339656968378809480706657023202707261817337701310508605113678509221112042556221023417001554204281543078441756845642808254512409545313
Y0: 10000000000000000000000000000000000
Y1: -1
c0: -17
c1: 0
c2: 0
c3: 0
c4: 0
c5: 230000
skew: 0.15
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 21059070
Relations: 2483758 relations
Pruned matrix : 1425402 x 1425627
Polynomial selection time: 0.00 hours.
Total sieving time: 37.16 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 2.63 hours.
time per square root: 0.08 hours.
Prototype def-par.txt line would be: snfs,176,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,55,55,2.5,2.5,100000
total time: 40.00 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
351e6904118Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
786Max DettweilerFebruary 7, 2010 23:01:32 UTC 2010 年 2 月 8 日 (月) 8 時 1 分 32 秒 (日本時間)
403e62104Wataru SakaiApril 29, 2010 06:51:42 UTC 2010 年 4 月 29 日 (木) 15 時 51 分 42 秒 (日本時間)

23×10176-173

c168

name 名前Serge Batalov
date 日付January 27, 2010 12:15:39 UTC 2010 年 1 月 27 日 (水) 21 時 15 分 39 秒 (日本時間)
composite number 合成数
135740710389150685337852608058090296973020407693419372861177041293839615902283262578585422193817774295403755576938144402969946474439204212287925057753037905677830499271<168>
prime factors 素因数
472718059194802214389384662753353<33>
composite cofactor 合成数の残り
287149407027865091543341595749706986924775219700698584323755470596552588923831476478133554803187008125531318470149362424186865300638607<135>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=2152187097
Step 1 took 7161ms
Step 2 took 3992ms
********** Factor found in step 2: 472718059194802214389384662753353
Found probable prime factor of 33 digits: 472718059194802214389384662753353
Composite cofactor has 135 digits

c135

name 名前Max Dettweiler
date 日付February 8, 2010 06:00:15 UTC 2010 年 2 月 8 日 (月) 15 時 0 分 15 秒 (日本時間)
composite number 合成数
287149407027865091543341595749706986924775219700698584323755470596552588923831476478133554803187008125531318470149362424186865300638607<135>
prime factors 素因数
9537773734512989505446514842557846151<37>
569125527850872723245613285880525835804303<42>
52899655315452029856923865037461719664091308476908632119<56>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 287149407027865091543341595749706986924775219700698584323755470596552588923831476478133554803187008125531318470149362424186865300638607 (135 digits)
Run 81 out of 786:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1513561075
Step 1 took 11938ms
Step 2 took 8391ms
********** Factor found in step 2: 9537773734512989505446514842557846151
Found probable prime factor of 37 digits: 9537773734512989505446514842557846151
Composite cofactor 30106544254535861512554480072535782917736868280032661341953517370246158240464284112193337904208057 has 98 digits
----------------------------------------
Number: c98
N=30106544254535861512554480072535782917736868280032661341953517370246158240464284112193337904208057
  ( 98 digits)
Divisors found:
 r1=569125527850872723245613285880525835804303 (pp42)
 r2=52899655315452029856923865037461719664091308476908632119 (pp56)
Version: GGNFS-0.77.1-VC8(Sat
Total time: 4.06 hours.
Scaled time: 4.47 units (timescale=1.100).
Factorization parameters were as follows:
name: c98
n: 30106544254535861512554480072535782917736868280032661341953517370246158240464284112193337904208057
skew: 7753.45
# norm 5.82e+013
c5: 14820
c4: -96805706
c3: -6704483263784
c2: 3882169900884421
c1: 110835519764663153310
c0: 98698783376680751402640
# alpha -5.70
Y1: 465491257
Y0: -4587357624800029019
# Murphy_E 4.25e-009
# M 18839392939585923536131693030136882920831779622881298812291964327452887272188536103711602345841067
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: RFBsize:135072, AFBsize:134983, largePrimes:3994052 encountered
Relations: rels:4154653, finalFF:520553
Max relations in full relation-set: 32
Initial matrix: 270144 x 520553 with sparse part having weight 39952135.
Pruned matrix : 141652 x 143066 with weight 12988968.
Total sieving time: 3.66 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
gnfs,97,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 4.06 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GMP-ECM 6.2.3, GGNFS w/factLat.pl
execution environment 実行環境
Core 2 Duo 2.2Ghz, Windows XP 32-bit, Cygwin

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10177-173

c166

name 名前Robert Backstrom
date 日付January 11, 2012 03:34:46 UTC 2012 年 1 月 11 日 (水) 12 時 34 分 46 秒 (日本時間)
composite number 合成数
1040796718100272037315490686822881989831627499117494267499975310447757812314083743999650206202221527344574945749386471231604074518572041888427276078601575756653059329<166>
prime factors 素因数
384244222169011653847548610477584947845112099071844530603394077<63>
2708685409048187682519095304148490787886663247066314144817798370991489248445307710143766983506567700277<103>
factorization results 素因数分解の結果
Number: n
N=1040796718100272037315490686822881989831627499117494267499975310447757812314083743999650206202221527344574945749386471231604074518572041888427276078601575756653059329
  ( 166 digits)
SNFS difficulty: 178 digits.
Divisors found:

Wed Jan 11 11:31:21 2012  prp63 factor: 384244222169011653847548610477584947845112099071844530603394077
Wed Jan 11 11:31:21 2012  prp103 factor: 2708685409048187682519095304148490787886663247066314144817798370991489248445307710143766983506567700277
Wed Jan 11 11:31:21 2012  elapsed time 02:37:10 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.648).
Factorization parameters were as follows:
name: KA_76661_177
n: 1040796718100272037315490686822881989831627499117494267499975310447757812314083743999650206202221527344574945749386471231604074518572041888427276078601575756653059329
m: 100000000000000000000000000000000000
deg: 5
c5: 2300
c0: -17
skew: 0.37
type: snfs
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7807683 hash collisions in 75000097 relations
Msieve: matrix is 1203040 x 1203269 (336.4 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,178,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
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.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
786Max DettweilerFebruary 8, 2010 22:28:05 UTC 2010 年 2 月 9 日 (火) 7 時 28 分 5 秒 (日本時間)
403e62104Wataru SakaiJanuary 8, 2012 03:21:39 UTC 2012 年 1 月 8 日 (日) 12 時 21 分 39 秒 (日本時間)

23×10178-173

c171

name 名前Robert Backstrom
date 日付January 19, 2012 03:03:35 UTC 2012 年 1 月 19 日 (木) 12 時 3 分 35 秒 (日本時間)
composite number 合成数
149964169615169257056776070138169102984240225642036008317970009470309033192102359736609896041531890851849668532924464240305996750196898227573283712875922364323987763844409<171>
prime factors 素因数
1860302165873576029248345000925372720209705910496591604241056632869502158841<76>
80612801708343894677893259423371860241288805454465299879885967864514650168137384994081414973249<95>
factorization results 素因数分解の結果
Number: n
N=149964169615169257056776070138169102984240225642036008317970009470309033192102359736609896041531890851849668532924464240305996750196898227573283712875922364323987763844409
  ( 171 digits)
SNFS difficulty: 179 digits.
Divisors found:

Thu Jan 19 13:26:51 2012  prp76 factor: 1860302165873576029248345000925372720209705910496591604241056632869502158841
Thu Jan 19 13:26:51 2012  prp95 factor: 80612801708343894677893259423371860241288805454465299879885967864514650168137384994081414973249
Thu Jan 19 13:26:51 2012  elapsed time 02:37:30 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.660).
Factorization parameters were as follows:
name: KA_76661_178
n: 149964169615169257056776070138169102984240225642036008317970009470309033192102359736609896041531890851849668532924464240305996750196898227573283712875922364323987763844409
m: 100000000000000000000000000000000000
deg: 5
c5: 23000
c0: -17
skew: 0.24
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8483350 hash collisions in 75753032 relations
Msieve: matrix is 1195121 x 1195348 (334.2 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,179,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
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.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
786Max DettweilerFebruary 8, 2010 22:28:24 UTC 2010 年 2 月 9 日 (火) 7 時 28 分 24 秒 (日本時間)

23×10181-173

c161

name 名前Ben Meekins
date 日付March 19, 2014 13:02:41 UTC 2014 年 3 月 19 日 (水) 22 時 2 分 41 秒 (日本時間)
composite number 合成数
10541223453788075164572400694945160962236709594802688476007112105331687239267134031462514635647642195359172135627118190914808223325155228272040231507625793916453<161>
prime factors 素因数
416913545165184067131644770048085344713983339<45>
25283955333261164708499649848231945177781283366188496464137899998162250264961462891463518520245546385172495866711727<116>
factorization results 素因数分解の結果
Number: 76661_181
N = 10541223453788075164572400694945160962236709594802688476007112105331687239267134031462514635647642195359172135627118190914808223325155228272040231507625793916453 (161 digits)
SNFS difficulty: 183 digits.
Divisors found:
r1=416913545165184067131644770048085344713983339 (pp45)
r2=25283955333261164708499649848231945177781283366188496464137899998162250264961462891463518520245546385172495866711727 (pp116)
Version: Msieve v. 1.52 (SVN 959M)
Total time: 9.77 hours.
Factorization parameters were as follows:
n: 10541223453788075164572400694945160962236709594802688476007112105331687239267134031462514635647642195359172135627118190914808223325155228272040231507625793916453
m: 1000000000000000000000000000000000000
deg: 5
c5: 230
c0: -17
skew: 0.59
# Murphy_E = 8.177e-11
type: snfs
lss: 1
rlim: 7700000
alim: 7700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7700000/7700000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19167848
Relations: 2550480 relations
Pruned matrix : 1538243 x 1538470
Polynomial selection time: 0.00 hours.
Total sieving time: 8.89 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.73 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: snfs,183,5,0,0,0,0,0,0,0,0,7700000,7700000,28,28,53,53,2.5,2.5,200000
total time: 9.77 hours.
Intel64 Family 6 Model 62 Stepping 4, GenuineIntel
Windows-7-6.1.7600
processors: 12, speed: 3.40GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
786Max DettweilerFebruary 9, 2010 18:05:25 UTC 2010 年 2 月 10 日 (水) 3 時 5 分 25 秒 (日本時間)
403e61000Dmitry DomanovMarch 29, 2012 11:03:04 UTC 2012 年 3 月 29 日 (木) 20 時 3 分 4 秒 (日本時間)
4511e61250 / 4218400Dmitry DomanovMarch 30, 2012 13:53:43 UTC 2012 年 3 月 30 日 (金) 22 時 53 分 43 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:05:59 UTC 2013 年 11 月 9 日 (土) 2 時 5 分 59 秒 (日本時間)

23×10185-173

c179

name 名前Serge Batalov
date 日付January 27, 2010 12:37:01 UTC 2010 年 1 月 27 日 (水) 21 時 37 分 1 秒 (日本時間)
composite number 合成数
10775724797621229703319137346633969744360312426492280582313983734436966200753842533274700272160607174424160142000439940047802708135478727667445053489971705242379338317930629435057<179>
prime factors 素因数
39279695012332609960395412501<29>
274333209416162351372792812334063284574243153532679403359656339835539130683354297236894202042587507288637434163858922272217134948764585815873184672557<150>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=515882257
Step 1 took 8360ms
Step 2 took 4368ms
********** Factor found in step 2: 39279695012332609960395412501
Found probable prime factor of 29 digits: 39279695012332609960395412501
Probable prime cofactor has 150 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10186-173

c187

name 名前Dmitry Domanov
date 日付February 5, 2010 00:11:30 UTC 2010 年 2 月 5 日 (金) 9 時 11 分 30 秒 (日本時間)
composite number 合成数
7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661<187>
prime factors 素因数
6590494819276942551471943658854738364545467539380326421477<58>
1163291509499706011060922935368667887185417768234461414351514520706517442569815598145249885922404725190611710956058068857547820993<130>
factorization results 素因数分解の結果
N=7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661
  ( 187 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=6590494819276942551471943658854738364545467539380326421477 (pp58)
 r2=1163291509499706011060922935368667887185417768234461414351514520706517442569815598145249885922404725190611710956058068857547820993 (pp130)
Version: Msieve-1.40
Total time: 248.44 hours.
Scaled time: 460.85 units (timescale=1.855).
Factorization parameters were as follows:
n: 7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661
m: 10000000000000000000000000000000000000
deg: 5
c5: 230
c0: -17
skew: 0.59
type: snfs
lss: 1
rlim: 9300000
alim: 9300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 300000Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4650000, 8550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1586585 x 1586810
Total sieving time: 244.77 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 3.25 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,187.000,5,0,0,0,0,0,0,0,0,9300000,9300000,28,28,54,54,2.5,2.5,100000
total time: 248.44 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 KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10187-173

c178

name 名前Max Dettweiler
date 日付February 10, 2010 19:25:48 UTC 2010 年 2 月 11 日 (木) 4 時 25 分 48 秒 (日本時間)
composite number 合成数
4157114840626553134196800242755928489132587026854169072498601062128176201903089329834256442761589145653888921615895967803765439393320446368783917512401492204910395295647449074467<178>
prime factors 素因数
65945013148579136685630293768543<32>
composite cofactor 合成数の残り
63039108526072423580554962906640812964015329228435321857433788897455245667201488819080105940713402396691824472162024673523947893932571023816315069<146>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 4157114840626553134196800242755928489132587026854169072498601062128176201903089329834256442761589145653888921615895967803765439393320446368783917512401492204910395295647449074467 (178 digits)
Run 9 out of 786:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3092794287
Step 1 took 19484ms
Step 2 took 12359ms
********** Factor found in step 2: 65945013148579136685630293768543
Found probable prime factor of 32 digits: 65945013148579136685630293768543
Composite cofactor 63039108526072423580554962906640812964015329228435321857433788897455245667201488819080105940713402396691824472162024673523947893932571023816315069 has 146 digits
software ソフトウェア
GMP-ECM 6.2.3
execution environment 実行環境
Core 2 Duo 2.2Ghz, Windows XP 32-bit, Cygwin

c146

name 名前Dmitry Domanov
date 日付March 29, 2012 11:11:13 UTC 2012 年 3 月 29 日 (木) 20 時 11 分 13 秒 (日本時間)
composite number 合成数
63039108526072423580554962906640812964015329228435321857433788897455245667201488819080105940713402396691824472162024673523947893932571023816315069<146>
prime factors 素因数
326206796221323550680061615792526631365518681<45>
288393012953163445613953022602265083605113101801<48>
670088745332447135477207762988436581366489937064495549<54>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=574083510
Step 1 took 16374ms
Step 2 took 7389ms
********** Factor found in step 2: 326206796221323550680061615792526631365518681
Found probable prime factor of 45 digits: 326206796221323550680061615792526631365518681
Composite cofactor 193248912212429468099249996658469784934033549896987280855182284582717776625165511148565745244748383749 has 102 digits

N=193248912212429468099249996658469784934033549896987280855182284582717776625165511148565745244748383749
  ( 102 digits)
Divisors found:
 r1=288393012953163445613953022602265083605113101801 (pp48)
 r2=670088745332447135477207762988436581366489937064495549 (pp54)
Version: Msieve v. 1.48
Total time: 0.68 hours.
Scaled time: 0.94 units (timescale=1.378).
Factorization parameters were as follows:
name: 102
n: 193248912212429468099249996658469784934033549896987280855182284582717776625165511148565745244748383749
skew: 7343.89
# norm 1.49e+14
c5: 31320
c4: -871537908
c3: 10413380055059
c2: 49382402063125024
c1: -185923137028839863636
c0: -409472142206659786359408
# alpha -6.02
Y1: 61690913999
Y0: -22806865364066144599
# Murphy_E 2.81e-09
# M 180470687138272237306222836645768933861263345595651879522242459826887410122438994504081996376670124644
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 226313 x 226547
Polynomial selection time: 0.50 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 0.68 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
786Max DettweilerFebruary 10, 2010 19:25:05 UTC 2010 年 2 月 11 日 (木) 4 時 25 分 5 秒 (日本時間)

23×10188-173

c177

name 名前Robert Backstrom
date 日付February 22, 2012 04:46:09 UTC 2012 年 2 月 22 日 (水) 13 時 46 分 9 秒 (日本時間)
composite number 合成数
709462173393446060113972564752605229626718111110569610817009208537573480442785123998096004301939366603737993159608623630083246065346525504078070721136354273394970103404297006499<177>
prime factors 素因数
298887917904108210134974398572059665679<39>
107703536067924852449977268653054481284733<42>
22038951199081614395796817385581966517581985773363524023075034418187079730018530225714798002828657<98>
factorization results 素因数分解の結果
Number: n
N=709462173393446060113972564752605229626718111110569610817009208537573480442785123998096004301939366603737993159608623630083246065346525504078070721136354273394970103404297006499
  ( 177 digits)
SNFS difficulty: 189 digits.
Divisors found:

Wed Feb 22 15:42:38 2012  prp39 factor: 298887917904108210134974398572059665679
Wed Feb 22 15:42:38 2012  prp42 factor: 107703536067924852449977268653054481284733
Wed Feb 22 15:42:38 2012  prp98 factor: 22038951199081614395796817385581966517581985773363524023075034418187079730018530225714798002828657
Wed Feb 22 15:42:38 2012  elapsed time 04:26:34 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.657).
Factorization parameters were as follows:
name: KA_76661_188
n: 709462173393446060113972564752605229626718111110569610817009208537573480442785123998096004301939366603737993159608623630083246065346525504078070721136354273394970103404297006499
m: 10000000000000000000000000000000000000
#  c177, diff: 189.36
skew: 0.24
deg: 5
c5: 23000
c0: -17
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10267896 hash collisions in 79140570 relations (73115800 unique)
Msieve: matrix is 1403204 x 1403433 (394.6 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,189,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.76 BogoMIPS (lpj=2797881)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797552)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44761.52 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
786Max DettweilerFebruary 10, 2010 19:25:56 UTC 2010 年 2 月 11 日 (木) 4 時 25 分 56 秒 (日本時間)

23×10189-173

c114

name 名前Erik Branger
date 日付January 29, 2010 15:48:12 UTC 2010 年 1 月 30 日 (土) 0 時 48 分 12 秒 (日本時間)
composite number 合成数
118544967472550446696648588426826705081354259099490395011733603313056368147258323523122004827288367912073409170949<114>
prime factors 素因数
1930700902393363945668225127957933175017<40>
61399964813606283938887511617089989295261277930398661332301204426341687997<74>
factorization results 素因数分解の結果
Number: 76661_189
N = 118544967472550446696648588426826705081354259099490395011733603313056368147258323523122004827288367912073409170949 (114 digits)
Divisors found:
r1=1930700902393363945668225127957933175017 (pp40)
r2=61399964813606283938887511617089989295261277930398661332301204426341687997 (pp74)
Version: Msieve v. 1.43
Total time: 18.63 hours.
Factorization parameters were as follows:
n: 118544967472550446696648588426826705081354259099490395011733603313056368147258323523122004827288367912073409170949
Y0: -10873197257127232067527
Y1: 387997399903
c0: -9839627163013355424545109372
c1: 607351629672513436012884
c2: -5148131665108106037
c3: -78718193687406
c4: 109959610
c5: 780
skew: 149791.01 
type: gnfs
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [1750000, 2750000)
Relations: 7663932
Relations in full relation-set: 797430 relations
Pruned matrix : 462308 x 462533
Polynomial selection time: 2.29 hours.
Total sieving time: 15.12 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.66 hours.
time per square root: 0.44 hours.
Prototype def-par.txt line would be: gnfs,113,5,61,2000,0.00016,0.25,250,15,50000,2800,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 18.63 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10190-173

c170

composite cofactor 合成数の残り
60478423047297578358765264712615296830138589622765109585302344494263918179175407628441690874710404093744211768740567105540586560596821398273508047188217723390939354903229<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
786Max DettweilerFebruary 12, 2010 03:13:09 UTC 2010 年 2 月 12 日 (金) 12 時 13 分 9 秒 (日本時間)
403e61000Dmitry DomanovMarch 29, 2012 11:03:38 UTC 2012 年 3 月 29 日 (木) 20 時 3 分 38 秒 (日本時間)
4511e6400 / 3516Dmitry DomanovMarch 30, 2012 13:53:53 UTC 2012 年 3 月 30 日 (金) 22 時 53 分 53 秒 (日本時間)
5043e6200 / 7421Dmitry DomanovApril 1, 2012 20:00:26 UTC 2012 年 4 月 2 日 (月) 5 時 0 分 26 秒 (日本時間)

23×10191-173

c150

name 名前Max Dettweiler
date 日付February 12, 2010 03:15:57 UTC 2010 年 2 月 12 日 (金) 12 時 15 分 57 秒 (日本時間)
composite number 合成数
113099078773240066473317184188935886496511389608922372837879299047119701143815376218247554013889704269355437214369686858563502928424411008938746971949<150>
prime factors 素因数
115458248740335620312563998718359781<36>
composite cofactor 合成数の残り
979566899785555364419896958922203116389720125441266124721481082756635648366299382487222373989274649584052885084329<114>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 113099078773240066473317184188935886496511389608922372837879299047119701143815376218247554013889704269355437214369686858563502928424411008938746971949 (150 digits)
Run 471 out of 786:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1890387069
Step 1 took 17406ms
Step 2 took 10844ms
********** Factor found in step 2: 115458248740335620312563998718359781
Found probable prime factor of 36 digits: 115458248740335620312563998718359781
Composite cofactor 979566899785555364419896958922203116389720125441266124721481082756635648366299382487222373989274649584052885084329 has 114 digits
software ソフトウェア
GMP-ECM 6.2.3
execution environment 実行環境
Core 2 Duo 2.2Ghz, Windows XP 32-bit, Cygwin

c114

name 名前Erik Branger
date 日付February 15, 2010 16:27:35 UTC 2010 年 2 月 16 日 (火) 1 時 27 分 35 秒 (日本時間)
composite number 合成数
979566899785555364419896958922203116389720125441266124721481082756635648366299382487222373989274649584052885084329<114>
prime factors 素因数
645353817428705447498473322038417755283<39>
1517875734722482889287103962370929199026255462476293830497057531477090420563<76>
factorization results 素因数分解の結果
Number: 76661_191
N = 979566899785555364419896958922203116389720125441266124721481082756635648366299382487222373989274649584052885084329 (114 digits)
Divisors found:
r1=645353817428705447498473322038417755283 (pp39)
r2=1517875734722482889287103962370929199026255462476293830497057531477090420563 (pp76)
Version: Msieve v. 1.44
Total time: 33.28 hours.
Factorization parameters were as follows:
n: 979566899785555364419896958922203116389720125441266124721481082756635648366299382487222373989274649584052885084329
Y0: -10434169041401094375176
Y1: 1535878992437
c0: 20225454286547223050760617085
c1: -1562134764072234202560213
c2: 22870964395781404667
c3: 218451472382717
c4: 2425609584
c5: 7920
skew: 94453.96  
type: gnfs
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [1750000, 2850000)
Relations: 7974649
Relations in full relation-set: 737832 relations
Pruned matrix : 440474 x 440700
Polynomial selection time: 0.00 hours.
Total sieving time: 32.48 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.51 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: gnfs,113,5,61,2000,0.00016,0.25,250,15,50000,2800,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 33.28 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
351e6904118Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
786Max DettweilerFebruary 12, 2010 03:14:26 UTC 2010 年 2 月 12 日 (金) 12 時 14 分 26 秒 (日本時間)

23×10192-173

c189

name 名前Robert Backstrom
date 日付February 17, 2010 09:01:44 UTC 2010 年 2 月 17 日 (水) 18 時 1 分 44 秒 (日本時間)
composite number 合成数
329763287309848452263179778341720790858388174401766384217242318666035815160508695714511018395056418197198445811289374453381507448349032933316128292256297761910906562289417465984200037277589<189>
prime factors 素因数
221200449949367093771102286061005364427<39>
1490789405651441723769383754978353365020227767956150837624541421431760712989970717366982600873843916026876087634161540719707095530827437167629586155807<151>
factorization results 素因数分解の結果
Number: n
N=329763287309848452263179778341720790858388174401766384217242318666035815160508695714511018395056418197198445811289374453381507448349032933316128292256297761910906562289417465984200037277589
  ( 189 digits)
SNFS difficulty: 193 digits.
Divisors found:

Wed Feb 17 19:13:06 2010  prp39 factor: 221200449949367093771102286061005364427
Wed Feb 17 19:13:06 2010  prp151 factor: 1490789405651441723769383754978353365020227767956150837624541421431760712989970717366982600873843916026876087634161540719707095530827437167629586155807
Wed Feb 17 19:13:06 2010  elapsed time 07:12:22 (Msieve 1.42 - dependency 3)

Version: 
Total time: 24.80 hours.
Scaled time: 20.86 units (timescale=0.841).
Factorization parameters were as follows:
name: KA_7_6_191_1
n: 329763287309848452263179778341720790858388174401766384217242318666035815160508695714511018395056418197198445811289374453381507448349032933316128292256297761910906562289417465984200037277589
m: 100000000000000000000000000000000000000
deg: 5
c5: 2300
c0: -17
skew: 0.37
type: snfs
lss: 1
rlim: 11700000
alim: 11700000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 11700000/11700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 12402853)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4424433 hash collisions in 33132403 relations
Msieve: matrix is 1633619 x 1633845 (435.0 MB)

Total sieving time: 24.80 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,193,5,0,0,0,0,0,0,0,0,11700000,11700000,28,28,56,56,2.5,2.5,100000
total time: 24.80 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
351e6904118Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
786Max DettweilerFebruary 1, 2010 20:08:36 UTC 2010 年 2 月 2 日 (火) 5 時 8 分 36 秒 (日本時間)

23×10193-173

c173

composite cofactor 合成数の残り
10687229711867213886997470445436438950528466757455618829654203702832716402439711062671052370853159083718860640569979638785717283038398005365559589159667220088420884614848277<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 28, 2010 05:44:56 UTC 2010 年 10 月 28 日 (木) 14 時 44 分 56 秒 (日本時間)
403e61110110Ignacio SantosOctober 28, 2010 05:44:56 UTC 2010 年 10 月 28 日 (木) 14 時 44 分 56 秒 (日本時間)
1000Dmitry DomanovMarch 29, 2012 11:03:57 UTC 2012 年 3 月 29 日 (木) 20 時 3 分 57 秒 (日本時間)
4511e6432 / 351432Ignacio SantosOctober 28, 2010 05:44:56 UTC 2010 年 10 月 28 日 (木) 14 時 44 分 56 秒 (日本時間)
400Dmitry DomanovMarch 30, 2012 13:54:02 UTC 2012 年 3 月 30 日 (金) 22 時 54 分 2 秒 (日本時間)
5043e6200 / 7412Dmitry DomanovApril 1, 2012 20:00:41 UTC 2012 年 4 月 2 日 (月) 5 時 0 分 41 秒 (日本時間)

23×10195-173

c196

name 名前Dmitry Domanov
date 日付February 12, 2010 18:47:23 UTC 2010 年 2 月 13 日 (土) 3 時 47 分 23 秒 (日本時間)
composite number 合成数
7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661<196>
prime factors 素因数
35999746527712878731659000371985131430003981257067534523843496770149781729224880870614292837<92>
212964462423778688146138414928382394795421144443962994431293989615151162533616492296667081160891636389953<105>
factorization results 素因数分解の結果
Number: ss196
N=7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661
  ( 196 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=35999746527712878731659000371985131430003981257067534523843496770149781729224880870614292837 (pp92)
 r2=212964462423778688146138414928382394795421144443962994431293989615151162533616492296667081160891636389953 (pp105)
Version: Msieve-1.40
Total time: 454.87 hours.
Scaled time: 876.99 units (timescale=1.928).
Factorization parameters were as follows:
n: 7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661
m: 1000000000000000000000000000000000000000
deg: 5
c5: 23
c0: -17
skew: 0.94
type: snfs
lss: 1
rlim: 13100000
alim: 13100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 300000Factor base limits: 13100000/13100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6550000, 13450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1894610 x 1894835
Total sieving time: 447.86 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 5.69 hours.
Time per square root: 1.03 hours.
Prototype def-par.txt line would be:
snfs,196.000,5,0,0,0,0,0,0,0,0,13100000,13100000,28,28,55,55,2.5,2.5,100000
total time: 454.87 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 KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10196-173

c141

composite cofactor 合成数の残り
140180188164162351879117078287533930286029272169254375891290347314905177490598053056953034401912596090912360696052622103879567375122411131781<141>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 28, 2010 06:26:07 UTC 2010 年 10 月 28 日 (木) 15 時 26 分 7 秒 (日本時間)
403e61110110Ignacio SantosOctober 28, 2010 06:26:07 UTC 2010 年 10 月 28 日 (木) 15 時 26 分 7 秒 (日本時間)
1000Dmitry DomanovMarch 29, 2012 11:04:27 UTC 2012 年 3 月 29 日 (木) 20 時 4 分 27 秒 (日本時間)
4511e6432 / 351432Ignacio SantosOctober 28, 2010 06:26:07 UTC 2010 年 10 月 28 日 (木) 15 時 26 分 7 秒 (日本時間)
400Dmitry DomanovMarch 30, 2012 13:54:12 UTC 2012 年 3 月 30 日 (金) 22 時 54 分 12 秒 (日本時間)
5043e6200 / 7412Dmitry DomanovApril 1, 2012 20:00:55 UTC 2012 年 4 月 2 日 (月) 5 時 0 分 55 秒 (日本時間)

23×10199-173

c168

name 名前Ignacio Santos
date 日付October 28, 2010 06:56:20 UTC 2010 年 10 月 28 日 (木) 15 時 56 分 20 秒 (日本時間)
composite number 合成数
476017460025948368337556914361463670334967639838153847476839468137052793198182141123609660922326427326805067605602891151076128322452886787746589022854040278895923176889<168>
prime factors 素因数
771584186049935231951357831148823771<36>
composite cofactor 合成数の残り
616935220591912915382557662707603453612515395084631450580596470443193443285561244936872166679601940614623160477043336782419867646459<132>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1772640281
Step 1 took 91105ms
Step 2 took 41792ms
********** Factor found in step 2: 771584186049935231951357831148823771
Found probable prime factor of 36 digits: 771584186049935231951357831148823771
Composite cofactor 616935220591912915382557662707603453612515395084631450580596470443193443285561244936872166679601940614623160477043336782419867646459 has 132 digits
software ソフトウェア
GMP-ECM 6.3

c132

name 名前Warut Roonguthai
date 日付September 6, 2011 21:20:57 UTC 2011 年 9 月 7 日 (水) 6 時 20 分 57 秒 (日本時間)
composite number 合成数
616935220591912915382557662707603453612515395084631450580596470443193443285561244936872166679601940614623160477043336782419867646459<132>
prime factors 素因数
412857623743743432494959402281784368673484286167845367<54>
1494305022146904549262888490916659828803346830897932029197955742255929135099677<79>
factorization results 素因数分解の結果
N = 616935220591912915382557662707603453612515395084631450580596470443193443285561244936872166679601940614623160477043336782419867646459 (132 digits)
Divisors found:
r1=412857623743743432494959402281784368673484286167845367 (pp54)
r2=1494305022146904549262888490916659828803346830897932029197955742255929135099677 (pp79)
Version: Msieve v. 1.48
Total time: 57.57 hours.
Factorization parameters were as follows:
n: 616935220591912915382557662707603453612515395084631450580596470443193443285561244936872166679601940614623160477043336782419867646459
Y0: -40548491029960850297820762
Y1: 196056740405747
c0: 4013953834318808223837990734354575
c1: 10047719328446067745912217505
c2: -44224593117319679145227
c3: 646861609113243
c4: 32137705348
c5: 5628
skew: 1177729.89
type: gnfs
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20947920
Relations: 2909988 relations
Pruned matrix : 1657933 x 1658159
Polynomial selection time: 0.00 hours.
Total sieving time: 53.47 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 3.68 hours.
time per square root: 0.28 hours.
Prototype def-par.txt line would be: gnfs,131,5,65,2000,1e-05,0.28,250,20,50000,3600,8000000,8000000,28,28,55,55,2.5,2.5,100000
total time: 57.57 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 KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
403e61260500Erik BrangerOctober 31, 2010 17:34:50 UTC 2010 年 11 月 1 日 (月) 2 時 34 分 50 秒 (日本時間)
760Ignacio SantosNovember 11, 2010 13:24:16 UTC 2010 年 11 月 11 日 (木) 22 時 24 分 16 秒 (日本時間)
4511e63986217Ignacio SantosNovember 11, 2010 13:24:16 UTC 2010 年 11 月 11 日 (木) 22 時 24 分 16 秒 (日本時間)
1587Wataru SakaiApril 20, 2011 07:00:58 UTC 2011 年 4 月 20 日 (水) 16 時 0 分 58 秒 (日本時間)
2182Wataru SakaiMay 11, 2011 04:48:14 UTC 2011 年 5 月 11 日 (水) 13 時 48 分 14 秒 (日本時間)
5043e660 / 6611Ignacio SantosNovember 11, 2010 13:24:16 UTC 2010 年 11 月 11 日 (木) 22 時 24 分 16 秒 (日本時間)

23×10200-173

c185

name 名前matsui
date 日付January 4, 2011 18:13:19 UTC 2011 年 1 月 5 日 (水) 3 時 13 分 19 秒 (日本時間)
composite number 合成数
44998633038246610940888423080928438520454325832679845907366085266046242494170056294203350521762082519182447003396526526602933905022726471427194360115336804117264317960709990462324982993<185>
prime factors 素因数
157883883051989246107287968681831396813297266697<48>
285010934418360532266261567980249519468709470180219559850118894279542088312464011144382147484139015531693231918041389775482538697318469769<138>
factorization results 素因数分解の結果
N=44998633038246610940888423080928438520454325832679845907366085266046242494170056294203350521762082519182447003396526526602933905022726471427194360115336804117264317960709990462324982993
  ( 185 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=157883883051989246107287968681831396813297266697 (pp48)
 r2=285010934418360532266261567980249519468709470180219559850118894279542088312464011144382147484139015531693231918041389775482538697318469769 (pp138)
Version: Msieve v. 1.48
Total time:
Scaled time: 140.74 units (timescale=1.139).
Factorization parameters were as follows:
n: 44998633038246610940888423080928438520454325832679845907366085266046242494170056294203350521762082519182447003396526526602933905022726471427194360115336804117264317960709990462324982993
m: 10000000000000000000000000000000000000000
deg: 5
c5: 23
c0: -17
skew: 0.94
type: snfs
lss: 1
rlim: 15900000
alim: 15900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 15900000/15900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7950000, 15630001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3228499 x 3228728
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,201.000,5,0,0,0,0,0,0,0,0,15900000,15900000,29,29,56,56,2.6,2.6,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 28, 2010 12:02:26 UTC 2010 年 10 月 28 日 (木) 21 時 2 分 26 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 28, 2010 12:02:26 UTC 2010 年 10 月 28 日 (木) 21 時 2 分 26 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 28, 2010 12:02:26 UTC 2010 年 10 月 28 日 (木) 21 時 2 分 26 秒 (日本時間)

23×10201-173

c150

composite cofactor 合成数の残り
338180189155617168510116509173343442091823757284945503066185021542638098875718313467805456985837039708276410616569527914451381672021495535670340361283<150>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 26, 2012 10:00:00 UTC 2012 年 3 月 26 日 (月) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 29, 2012 11:04:36 UTC 2012 年 3 月 29 日 (木) 20 時 4 分 36 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovMarch 30, 2012 13:54:23 UTC 2012 年 3 月 30 日 (金) 22 時 54 分 23 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovApril 1, 2012 20:01:09 UTC 2012 年 4 月 2 日 (月) 5 時 1 分 9 秒 (日本時間)

23×10202-173

c153

name 名前Dmitry Domanov
date 日付March 28, 2012 13:10:05 UTC 2012 年 3 月 28 日 (水) 22 時 10 分 5 秒 (日本時間)
composite number 合成数
214745637304057712659648191327008778708723953823130695556520130389768072049278434021013998705445187384105975459660048250855132134455837842384975230818659<153>
prime factors 素因数
98713275270801656617293907545059425484522934245093<50>
2175448405646988011744043942925361154545376149257532953044187364300170112077017069003935070454474154663<103>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=231255056
Step 1 took 16532ms
Step 2 took 7423ms
********** Factor found in step 2: 98713275270801656617293907545059425484522934245093
Found probable prime factor of 50 digits: 98713275270801656617293907545059425484522934245093

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 26, 2012 10:00:00 UTC 2012 年 3 月 26 日 (月) 19 時 0 分 0 秒 (日本時間)

23×10204-173

c175

name 名前Dmitry Domanov
date 日付March 30, 2012 06:21:04 UTC 2012 年 3 月 30 日 (金) 15 時 21 分 4 秒 (日本時間)
composite number 合成数
2953532847368511355368961662319798850034314042995835457452875898639491898575037445875096268996474388527551230550273114841252030254211073083674647402019045894223245734766331017<175>
prime factors 素因数
10679678166428861919656786663682499700009<41>
composite cofactor 合成数の残り
276556353229147192526909075964160068074823335826790670009216671776915543618419129669784068399536660310632126507233771746435328144470113<135>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=968434606
Step 1 took 86802ms
Step 2 took 29608ms
********** Factor found in step 2: 10679678166428861919656786663682499700009
Found probable prime factor of 41 digits: 10679678166428861919656786663682499700009

c135

name 名前Erik Branger
date 日付April 19, 2012 21:59:47 UTC 2012 年 4 月 20 日 (金) 6 時 59 分 47 秒 (日本時間)
composite number 合成数
276556353229147192526909075964160068074823335826790670009216671776915543618419129669784068399536660310632126507233771746435328144470113<135>
prime factors 素因数
144992617375311269930322680618293162654466057034694691883769<60>
1907382308392192935738271235231661319788094160742167798770452335712343147177<76>
factorization results 素因数分解の結果
Number: 76661_204
N = 276556353229147192526909075964160068074823335826790670009216671776915543618419129669784068399536660310632126507233771746435328144470113 (135 digits)
Divisors found:
r1=144992617375311269930322680618293162654466057034694691883769 (pp60)
r2=1907382308392192935738271235231661319788094160742167798770452335712343147177 (pp76)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 179.40 hours.
Factorization parameters were as follows:
# Murphy_E = 4.756e-11, selected by suberi
n: 276556353229147192526909075964160068074823335826790670009216671776915543618419129669784068399536660310632126507233771746435328144470113
Y0: -296838767498443248266765822
Y1: 53617831251401
c0: 91384609911081000941866763873231925
c1: 44998964778069558926720522972
c2: -32138824187281393685321
c3: -8812678247795860
c4: -1077966732
c5: 120
skew: 4797883.64
type: gnfs
# selected mechanically
rlim: 12900000
alim: 12900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 12900000/12900000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [6450000, 14050000)
Relations: 20768278
Relations in full relation-set: 3245210 relations
Pruned matrix : 1928781 x 1929010
Polynomial selection time: 0.00 hours.
Total sieving time: 175.46 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 3.69 hours.
time per square root: 0.15 hours.
Prototype def-par.txt line would be: gnfs,134,5,65,2000,1e-05,0.28,250,20,50000,3600,12900000,12900000,28,28,54,54,2.6,2.6,100000
total time: 179.40 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 26, 2012 10:00:00 UTC 2012 年 3 月 26 日 (月) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 29, 2012 11:04:44 UTC 2012 年 3 月 29 日 (木) 20 時 4 分 44 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovMarch 30, 2012 13:54:31 UTC 2012 年 3 月 30 日 (金) 22 時 54 分 31 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovApril 1, 2012 20:01:31 UTC 2012 年 4 月 2 日 (月) 5 時 1 分 31 秒 (日本時間)

23×10205-173

c151

name 名前Dmitry Domanov
date 日付April 3, 2012 07:17:44 UTC 2012 年 4 月 3 日 (火) 16 時 17 分 44 秒 (日本時間)
composite number 合成数
1112269189008967494113437795198853730055633174501987214421536102550065025179943985982830162224340145414603849172987859181856139899308482330629016948099<151>
prime factors 素因数
4834865877631122034914678783729585295477<40>
230051715427095142837501489325795665579250724542307793736452568350547602436890294916084533059254614623362180887<111>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=752619621
Step 1 took 220665ms
Step 2 took 74652ms
********** Factor found in step 2: 4834865877631122034914678783729585295477
Found probable prime factor of 40 digits: 4834865877631122034914678783729585295477

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 26, 2012 10:00:00 UTC 2012 年 3 月 26 日 (月) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 29, 2012 11:04:52 UTC 2012 年 3 月 29 日 (木) 20 時 4 分 52 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovMarch 30, 2012 13:54:43 UTC 2012 年 3 月 30 日 (金) 22 時 54 分 43 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovApril 1, 2012 20:01:45 UTC 2012 年 4 月 2 日 (月) 5 時 1 分 45 秒 (日本時間)

23×10206-173

c185

composite cofactor 合成数の残り
18871066054556810018602404354033608377090824189205251251719088093666645827482102559298026421087471510646115045692145880281915094210089531246671752956838959873751540714767504060217871211<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 26, 2012 10:00:00 UTC 2012 年 3 月 26 日 (月) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 29, 2012 11:05:02 UTC 2012 年 3 月 29 日 (木) 20 時 5 分 2 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovMarch 30, 2012 13:54:53 UTC 2012 年 3 月 30 日 (金) 22 時 54 分 53 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovApril 1, 2012 20:02:01 UTC 2012 年 4 月 2 日 (月) 5 時 2 分 1 秒 (日本時間)

23×10208-173

c177

composite cofactor 合成数の残り
300396516342538955021917474571447565863470175076823990901885403187598555885875403026903581635097667422353860366008159544371942034524915891813414629320209664029858838887148593731<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 26, 2012 10:00:00 UTC 2012 年 3 月 26 日 (月) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 29, 2012 11:05:19 UTC 2012 年 3 月 29 日 (木) 20 時 5 分 19 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovMarch 30, 2012 13:55:03 UTC 2012 年 3 月 30 日 (金) 22 時 55 分 3 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovApril 1, 2012 20:02:13 UTC 2012 年 4 月 2 日 (月) 5 時 2 分 13 秒 (日本時間)

23×10210-173

c190

composite cofactor 合成数の残り
1891933709688283970371404387547297043914460459312411213228506101343252409676312732822921998979744996145736092906795044380458307144363271592802669482524590969533298447189003842258708518376271<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 26, 2012 10:00:00 UTC 2012 年 3 月 26 日 (月) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 29, 2012 11:05:28 UTC 2012 年 3 月 29 日 (木) 20 時 5 分 28 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 30, 2012 13:55:12 UTC 2012 年 3 月 30 日 (金) 22 時 55 分 12 秒 (日本時間)

23×10211-173

c179

composite cofactor 合成数の残り
20606137588481944783792455193668449506676862140280518386047559342875485872700962612982638325916238642054590975557694753603316164724263603353992986463050936062256407624645272160681<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 26, 2012 10:00:00 UTC 2012 年 3 月 26 日 (月) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 29, 2012 11:05:37 UTC 2012 年 3 月 29 日 (木) 20 時 5 分 37 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovMarch 30, 2012 13:55:30 UTC 2012 年 3 月 30 日 (金) 22 時 55 分 30 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovApril 1, 2012 20:02:34 UTC 2012 年 4 月 2 日 (月) 5 時 2 分 34 秒 (日本時間)

23×10212-173

c198

composite cofactor 合成数の残り
239871058163743865577464867290510071770289476513983705177545732863958437344907293326498659639756840414494121067608186521032452333975625236228889236836846170967302544632673219808908656889396931909587<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 26, 2012 10:00:00 UTC 2012 年 3 月 26 日 (月) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 29, 2012 11:05:47 UTC 2012 年 3 月 29 日 (木) 20 時 5 分 47 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 30, 2012 13:55:40 UTC 2012 年 3 月 30 日 (金) 22 時 55 分 40 秒 (日本時間)

23×10213-173

c170

composite cofactor 合成数の残り
10363083852172658427665097911579116033813491892053114919992933296143133341059913647624770885143180485722621110101840499958412334443897498590249108286564842794816030542637<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 26, 2012 10:00:00 UTC 2012 年 3 月 26 日 (月) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 29, 2012 11:05:56 UTC 2012 年 3 月 29 日 (木) 20 時 5 分 56 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovMarch 30, 2012 13:55:51 UTC 2012 年 3 月 30 日 (金) 22 時 55 分 51 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovApril 1, 2012 20:02:47 UTC 2012 年 4 月 2 日 (月) 5 時 2 分 47 秒 (日本時間)

23×10214-173

c206

composite cofactor 合成数の残り
17311055938061262230885441317786725889185957722985702121436344340526027626190173415269339888982649306033971831693788209980161434307846831145131226751944787830376026074822262795609191889421031174929168824709<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 26, 2012 10:00:00 UTC 2012 年 3 月 26 日 (月) 19 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiMarch 29, 2012 05:36:22 UTC 2012 年 3 月 29 日 (木) 14 時 36 分 22 秒 (日本時間)

23×10215-173

c198

composite cofactor 合成数の残り
241466419157391719638458482933836570628855594333339797333066844260505305663865684617237474065117643741408095821783183895189993419393205501225491791403985568165278863313487537749803113739819191458349<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 26, 2012 10:00:00 UTC 2012 年 3 月 26 日 (月) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 29, 2012 11:06:12 UTC 2012 年 3 月 29 日 (木) 20 時 6 分 12 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 30, 2012 13:56:10 UTC 2012 年 3 月 30 日 (金) 22 時 56 分 10 秒 (日本時間)

23×10217-173

c167

composite cofactor 合成数の残り
94516854350764528616770371550020137080362285865579457425497067344703409319624678977726292103956919498079359717844330709200768811152731486116223613737604273338826384083<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 26, 2012 10:00:00 UTC 2012 年 3 月 26 日 (月) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 29, 2012 11:06:20 UTC 2012 年 3 月 29 日 (木) 20 時 6 分 20 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovMarch 30, 2012 13:56:18 UTC 2012 年 3 月 30 日 (金) 22 時 56 分 18 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovApril 1, 2012 20:03:07 UTC 2012 年 4 月 2 日 (月) 5 時 3 分 7 秒 (日本時間)

23×10218-173

c142

name 名前Erik Branger
date 日付May 28, 2017 20:57:01 UTC 2017 年 5 月 29 日 (月) 5 時 57 分 1 秒 (日本時間)
composite number 合成数
6155874123573294793349944829726811602548448979616482501463775060882412856970376372953185994172029231515976357856122506515474265306908842480651<142>
prime factors 素因数
42668464169041026084167599373811956984704812676634789413<56>
144272221732316644824069487766260384915170479245506948175921176677199812277780135420527<87>
factorization results 素因数分解の結果
Number: 76661_218
N = 6155874123573294793349944829726811602548448979616482501463775060882412856970376372953185994172029231515976357856122506515474265306908842480651 (142 digits)
Divisors found:
r1=42668464169041026084167599373811956984704812676634789413 (pp56)
r2=144272221732316644824069487766260384915170479245506948175921176677199812277780135420527 (pp87)
Version: Msieve v. 1.51 (SVN 845)
Total time: 453.84 hours.
Factorization parameters were as follows:
# Murphy_E = 1.652e-11, selected by Maksym Voznyy
# selected by CADO-NFS, optimized by Msieve
n: 6155874123573294793349944829726811602548448979616482501463775060882412856970376372953185994172029231515976357856122506515474265306908842480651
Y0: -2127682084043237616049265824
Y1: 57846418772518236631
c0: -582596419460688331181933338822470
c1: 2928060868535837066323685989
c2: -43611326484897426827268
c3: 200497534720929715
c4: 400240035194
c5: 271320
skew: 413089.28
type: gnfs
# selected mechanically
rlim: 20000000
alim: 20000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23135316
Relations: 4165546 relations
Pruned matrix : 2572490 x 2572715
Polynomial selection time: 0.00 hours.
Total sieving time: 445.48 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 6.87 hours.
time per square root: 1.29 hours.
Prototype def-par.txt line would be: gnfs,141,5,65,2000,1e-05,0.28,250,20,50000,3600,20000000,20000000,28,28,56,56,2.6,2.6,100000
total time: 453.84 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz
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 26, 2012 10:00:00 UTC 2012 年 3 月 26 日 (月) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 29, 2012 11:11:26 UTC 2012 年 3 月 29 日 (木) 20 時 11 分 26 秒 (日本時間)
4511e61250400Dmitry DomanovMarch 30, 2012 13:56:26 UTC 2012 年 3 月 30 日 (金) 22 時 56 分 26 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:09:40 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 40 秒 (日本時間)
5043e61000 / 7234200Dmitry DomanovApril 1, 2012 20:03:21 UTC 2012 年 4 月 2 日 (月) 5 時 3 分 21 秒 (日本時間)
800Dmitry DomanovApril 19, 2012 21:29:10 UTC 2012 年 4 月 20 日 (金) 6 時 29 分 10 秒 (日本時間)

23×10219-173

c209

name 名前Serge Batalov
date 日付March 26, 2012 18:44:12 UTC 2012 年 3 月 27 日 (火) 3 時 44 分 12 秒 (日本時間)
composite number 合成数
13242370456541850648016940364915125759216938329827173393675537982561238393854144693032270059463534868683638967696503327669331093986178597311224177819544349922412033654909849392781331784332594287716260252401787<209>
prime factors 素因数
821572938006186861389784723002791<33>
16118313839156821003343501391105660710775438807958738065557519795530076197992472286455963727992421081361733686811841894635577711638657318596346010314643817582155797678146879757<176>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1145762005
Step 1 took 5008ms
********** Factor found in step 1: 821572938006186861389784723002791
Found probable prime factor of 33 digits: 821572938006186861389784723002791
Probable prime cofactor 161183138391... has 176 digits
software ソフトウェア
GMP-ECM 6.4.2 [configured with GMP 5.0.2, --enable-asm-redc] [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 26, 2012 10:00:00 UTC 2012 年 3 月 26 日 (月) 19 時 0 分 0 秒 (日本時間)

23×10220-173

c189

composite cofactor 合成数の残り
714323075594127353043786317813554833768958277768573554604111265547176664272379519545747660243511287817663712398402084810593963254457073625867602987498958177646266378699136207789438472405987<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 26, 2012 10:00:00 UTC 2012 年 3 月 26 日 (月) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 29, 2012 14:13:07 UTC 2012 年 3 月 29 日 (木) 23 時 13 分 7 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovMarch 30, 2012 13:56:36 UTC 2012 年 3 月 30 日 (金) 22 時 56 分 36 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovApril 1, 2012 20:03:34 UTC 2012 年 4 月 2 日 (月) 5 時 3 分 34 秒 (日本時間)

23×10221-173

c206

name 名前Dmitry Domanov
date 日付March 30, 2012 13:53:27 UTC 2012 年 3 月 30 日 (金) 22 時 53 分 27 秒 (日本時間)
composite number 合成数
14526340904563145135684709385807068976589987511090102143938490133875990442856660619486352324965943565036251476566433766493377171790965533926481643418180464490664623458690328091402539687911093369993854832667<206>
prime factors 素因数
33689585996291656361092305882901585656397<41>
431181935751959549884121301910161614499539933098387356300882211984457302111680689755916619869905259141169856900148000593011352409811490513570824964485818137534715911<165>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=857543858
Step 1 took 101840ms
Step 2 took 33665ms
********** Factor found in step 2: 33689585996291656361092305882901585656397
Found probable prime factor of 41 digits: 33689585996291656361092305882901585656397

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 26, 2012 10:00:00 UTC 2012 年 3 月 26 日 (月) 19 時 0 分 0 秒 (日本時間)
403e61000 / 2318Dmitry DomanovMarch 29, 2012 14:13:18 UTC 2012 年 3 月 29 日 (木) 23 時 13 分 18 秒 (日本時間)

23×10222-173

c206

composite cofactor 合成数の残り
18631882741539988459146138942457895676658979048450395370037095387532388349326678824128639390487840827217784279468935322241753583541745235315958367759811996263336148421083570501308088538691993482847997108397<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 26, 2012 10:00:00 UTC 2012 年 3 月 26 日 (月) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 29, 2012 14:13:28 UTC 2012 年 3 月 29 日 (木) 23 時 13 分 28 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 30, 2012 13:56:49 UTC 2012 年 3 月 30 日 (金) 22 時 56 分 49 秒 (日本時間)

23×10223-173

c218

composite cofactor 合成数の残り
17343017976188941171804384933260673628455700012841373744978159485036029365801272690982633531247330212042524175224503482591116257714532566832262326568877682785795404718552602994716939702322931368173345123569380102476123<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 26, 2012 10:00:00 UTC 2012 年 3 月 26 日 (月) 19 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiMarch 29, 2012 05:36:34 UTC 2012 年 3 月 29 日 (木) 14 時 36 分 34 秒 (日本時間)

23×10225-173

c221

composite cofactor 合成数の残り
78752829109784867815088357250225130370172537176471393890834882709645167144319695397753147545137355206075609564017489976134468743686933536036267389823080057386844168695408025255689891903181956699640133811328765669244965811<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 26, 2012 10:00:00 UTC 2012 年 3 月 26 日 (月) 19 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiMarch 28, 2012 05:14:31 UTC 2012 年 3 月 28 日 (水) 14 時 14 分 31 秒 (日本時間)
4511e64150850Serge BatalovNovember 8, 2013 17:15:35 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 35 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:33 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 33 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:48 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 48 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 00:18:45 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 45 秒 (日本時間)
1000Serge BatalovDecember 21, 2014 10:24:41 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 41 秒 (日本時間)

23×10228-173

c204

composite cofactor 合成数の残り
245585493448739947743901643441163144955847367283937841079205251331499067097873939458804224910215359499306577110657002599252438123081129447111036846281560013020353633887520823134156556628151935495566435581<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 26, 2012 10:00:00 UTC 2012 年 3 月 26 日 (月) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 29, 2012 14:13:51 UTC 2012 年 3 月 29 日 (木) 23 時 13 分 51 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 30, 2012 13:57:11 UTC 2012 年 3 月 30 日 (金) 22 時 57 分 11 秒 (日本時間)

23×10229-173

c198

name 名前Dmitry Domanov
date 日付March 27, 2012 06:40:24 UTC 2012 年 3 月 27 日 (火) 15 時 40 分 24 秒 (日本時間)
composite number 合成数
136369819092681239211130027158347187487226965765866333252163862311697092321168060209536251711024050394238208102721903773873068946384939397103068795599261072497823487234490874095830062508700314643627<198>
prime factors 素因数
5419634177782764398613076967615653<34>
25162181545705677858653864412572192842403607496558072634196371627224222701365980411743793683040712582604867531044156331265668493723523067193521610692328453011071759<164>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2343976192
Step 1 took 37809ms
Step 2 took 12552ms
********** Factor found in step 2: 5419634177782764398613076967615653
Found probable prime factor of 34 digits: 5419634177782764398613076967615653

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 26, 2012 10:00:00 UTC 2012 年 3 月 26 日 (月) 19 時 0 分 0 秒 (日本時間)

23×10231-173

c229

name 名前Serge Batalov
date 日付May 25, 2014 02:44:04 UTC 2014 年 5 月 25 日 (日) 11 時 44 分 4 秒 (日本時間)
composite number 合成数
7053051211284881938055811100889297761422876418276602269242563630788101809260962894817540631708065010732904017172646427476234283961974854339159766942655627108249003373198405397117448635387917816620668506593069610548911376878258203<229>
prime factors 素因数
41415923780079445481152712527705124794434557<44>
composite cofactor 合成数の残り
170298053684300858234810363339352461421241835953257699034474019490532012557229527510368858367757346549635822447517152388523823817639798441217248057025116811027897755212259356446419442679<186>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=4241846194
Step 1 took 67155ms
Step 2 took 30807ms
********** Factor found in step 2: 41415923780079445481152712527705124794434557
Found probable prime factor of 44 digits: 41415923780079445481152712527705124794434557
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 26, 2012 10:00:00 UTC 2012 年 3 月 26 日 (月) 19 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiMarch 28, 2012 05:14:18 UTC 2012 年 3 月 28 日 (水) 14 時 14 分 18 秒 (日本時間)
4511e62950 / 3963850Serge BatalovNovember 8, 2013 17:15:57 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 57 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:51 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 51 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:37 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 37 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:58 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 58 秒 (日本時間)

23×10233-173

c216

name 名前Serge Batalov
date 日付March 27, 2012 02:06:57 UTC 2012 年 3 月 27 日 (火) 11 時 6 分 57 秒 (日本時間)
composite number 合成数
535730235183821831063768622186563559435768954278996552580232299058936765366999759078046263119147587755913554076569239940112548983260543829249583702824914260159136203982705546548298797284799481974042440732338919545759<216>
prime factors 素因数
244792714214366263616758327948383463<36>
2188505637936103174031544394854421448083946372342701070528076261634986662032080793825229026845368048522349980246893280258466793426319418839288545247671040101377997157047169337209993<181>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1567188404
Step 1 took 17205ms
Step 2 took 13833ms
********** Factor found in step 2: 244792714214366263616758327948383463
Found probable prime factor of 36 digits: 244792714214366263616758327948383463
Probable prime cofactor 218850563793... has 181 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 26, 2012 10:00:00 UTC 2012 年 3 月 26 日 (月) 19 時 0 分 0 秒 (日本時間)

23×10234-173

c232

composite cofactor 合成数の残り
4093255027584979533724862075102331375689624488343121551877558284392240612208578038796938957109806015305214450969923473927745150382630361274248086848193628759565759031856202171204840718989143975796405054280121017974728599394910126357<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 26, 2012 10:00:00 UTC 2012 年 3 月 26 日 (月) 19 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiMarch 28, 2012 05:14:05 UTC 2012 年 3 月 28 日 (水) 14 時 14 分 5 秒 (日本時間)
4511e64000Wataru SakaiMay 29, 2012 06:39:37 UTC 2012 年 5 月 29 日 (火) 15 時 39 分 37 秒 (日本時間)

23×10236-173

c237

name 名前NFS@Home + Sean Wellman
date 日付January 21, 2014 10:17:19 UTC 2014 年 1 月 21 日 (火) 19 時 17 分 19 秒 (日本時間)
composite number 合成数
766666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661<237>
prime factors 素因数
863912015575367070720093130101936565686669977459652527985140011128834420029<75>
46393316326451840132573875574090116138141207062161502053705995770435583646777<77>
19128532303555233973360749690047943719224192545179869356514519602597643621165365643217<86>
factorization results 素因数分解の結果
prp75 factor: 863912015575367070720093130101936565686669977459652527985140011128834420029
prp77 factor: 46393316326451840132573875574090116138141207062161502053705995770435583646777
prp86 factor: 19128532303555233973360749690047943719224192545179869356514519602597643621165365643217
software ソフトウェア
ggnfs-lasieve4I14e on the NFS@Home grid + msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 26, 2012 10:00:00 UTC 2012 年 3 月 26 日 (月) 19 時 0 分 0 秒 (日本時間)
403e62000Serge BatalovMarch 26, 2012 20:58:06 UTC 2012 年 3 月 27 日 (火) 5 時 58 分 6 秒 (日本時間)
4511e62650800Serge BatalovMarch 26, 2012 23:56:43 UTC 2012 年 3 月 27 日 (火) 8 時 56 分 43 秒 (日本時間)
1500Serge BatalovMarch 27, 2012 05:36:36 UTC 2012 年 3 月 27 日 (火) 14 時 36 分 36 秒 (日本時間)
350Serge BatalovMarch 27, 2012 19:00:49 UTC 2012 年 3 月 28 日 (水) 4 時 0 分 49 秒 (日本時間)
5043e6550Dmitry DomanovMay 11, 2012 20:47:39 UTC 2012 年 5 月 12 日 (土) 5 時 47 分 39 秒 (日本時間)
5511e70--
6026e77495 / 41908yoyo@homeMay 29, 2013 04:00:14 UTC 2013 年 5 月 29 日 (水) 13 時 0 分 14 秒 (日本時間)

23×10237-173

c229

name 名前Wataru Sakai
date 日付March 26, 2012 13:01:34 UTC 2012 年 3 月 26 日 (月) 22 時 1 分 34 秒 (日本時間)
composite number 合成数
2611642261104216702943325813094681027482922070140453120429649107843024543502127016782385804386786701973576486184639594860577945147816801915619795458623970070103687556174459207801902725890516225399667089623379898793350681544037601<229>
prime factors 素因数
89787128713151633246970164790120290983<38>
29087045086916500914034848438757382144132640640769404468337443685083505594240218432124251599223638790763392589197894825555838682575676036197799660467234162330140033811587810299555155801025847<191>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2122281901
Step 1 took 18883ms
Step 2 took 7153ms
********** Factor found in step 2: 89787128713151633246970164790120290983
Found probable prime factor of 38 digits: 89787128713151633246970164790120290983
Probable prime cofactor 29087045086916500914034848438757382144132640640769404468337443685083505594240218432124251599223638790763392589197894825555838682575676036197799660467234162330140033811587810299555155801025847 has 191 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 26, 2012 10:00:00 UTC 2012 年 3 月 26 日 (月) 19 時 0 分 0 秒 (日本時間)

23×10238-173

c197

name 名前Dmitry Domanov
date 日付March 30, 2012 06:20:15 UTC 2012 年 3 月 30 日 (金) 15 時 20 分 15 秒 (日本時間)
composite number 合成数
85139699057138003729494988015304613951654258291931231066665600731332145389973636050845275745124951977513770523919832849319435232358908715931574576124582901531669496534719021245781470852930704446061<197>
prime factors 素因数
153549039796791797404278056406914491472389<42>
composite cofactor 合成数の残り
554478876389019817888820351300381491083549199844230709374302304506748487301944343965315157111056746985147436692221506958954720498504397415355905398564191049<156>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=769732859
Step 1 took 100216ms
Step 2 took 32844ms
********** Factor found in step 2: 153549039796791797404278056406914491472389
Found probable prime factor of 42 digits: 153549039796791797404278056406914491472389

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 26, 2012 10:00:00 UTC 2012 年 3 月 26 日 (月) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 29, 2012 14:14:23 UTC 2012 年 3 月 29 日 (木) 23 時 14 分 23 秒 (日本時間)
4511e61250400Dmitry DomanovMarch 30, 2012 13:57:35 UTC 2012 年 3 月 30 日 (金) 22 時 57 分 35 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:12:11 UTC 2013 年 11 月 9 日 (土) 2 時 12 分 11 秒 (日本時間)
5043e6920 / 7234200Dmitry DomanovApril 1, 2012 20:03:54 UTC 2012 年 4 月 2 日 (月) 5 時 3 分 54 秒 (日本時間)
720Dmitry DomanovApril 18, 2012 19:47:15 UTC 2012 年 4 月 19 日 (木) 4 時 47 分 15 秒 (日本時間)

23×10241-173

c213

composite cofactor 合成数の残り
465618027417433179018663253770440109350502218616624621297631965527372071374615260045073947823230110738745303003114760215630362960869876332821247601562338788954516555570031425524772004743010083737458479311791802457<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 26, 2012 10:00:00 UTC 2012 年 3 月 26 日 (月) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 29, 2012 14:14:34 UTC 2012 年 3 月 29 日 (木) 23 時 14 分 34 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 30, 2012 13:57:52 UTC 2012 年 3 月 30 日 (金) 22 時 57 分 52 秒 (日本時間)

23×10243-173

c229

composite cofactor 合成数の残り
1300522792992454956073395441444244164495003880854887531558934297756655552095970093788468547278939094559668577065592840423182344743527906083668500374928284799384937268413544161156725363825549991326041990449916418233904078354824307<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 26, 2012 10:00:00 UTC 2012 年 3 月 26 日 (月) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 29, 2012 14:14:46 UTC 2012 年 3 月 29 日 (木) 23 時 14 分 46 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 30, 2012 13:58:01 UTC 2012 年 3 月 30 日 (金) 22 時 58 分 1 秒 (日本時間)

23×10244-173

c222

name 名前Warut Roonguthai
date 日付March 26, 2012 14:16:40 UTC 2012 年 3 月 26 日 (月) 23 時 16 分 40 秒 (日本時間)
composite number 合成数
118062113552330621555197429861008035058196386229396237363045329579161794228214963549709354271711377927108983867875879061962670999240521819254731384619763717295976940929077456139995582706943968532607987163654779569360731101<222>
prime factors 素因数
75915104414800472781895497959<29>
composite cofactor 合成数の残り
1555186078744470939908989957224621238482650537377817433657387603171053098152627375949233252099209293268711641874002237423422648139891742081661616939695738270136387495267496044656890645471197339<193>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1587941597
Step 1 took 23744ms
Step 2 took 16692ms
********** Factor found in step 2: 75915104414800472781895497959
Found probable prime factor of 29 digits: 75915104414800472781895497959
Composite cofactor 1555186078744470939908989957224621238482650537377817433657387603171053098152627375949233252099209293268711641874002237423422648139891742081661616939695738270136387495267496044656890645471197339 has 193 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 26, 2012 10:00:00 UTC 2012 年 3 月 26 日 (月) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 29, 2012 14:14:59 UTC 2012 年 3 月 29 日 (木) 23 時 14 分 59 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 30, 2012 13:58:09 UTC 2012 年 3 月 30 日 (金) 22 時 58 分 9 秒 (日本時間)

23×10245-173

c225

composite cofactor 合成数の残り
147344444742429548847602138465736591885905404151726373335067900473695350554273444494682086432299113655301522375608415887929779209148549262819211362940984772840792141265482712891080676859261697007949348976196785008807359912647<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 26, 2012 10:00:00 UTC 2012 年 3 月 26 日 (月) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 29, 2012 14:15:08 UTC 2012 年 3 月 29 日 (木) 23 時 15 分 8 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 30, 2012 13:58:18 UTC 2012 年 3 月 30 日 (金) 22 時 58 分 18 秒 (日本時間)

23×10247-173

c196

name 名前Dmitry Domanov
date 日付March 29, 2012 09:34:18 UTC 2012 年 3 月 29 日 (木) 18 時 34 分 18 秒 (日本時間)
composite number 合成数
4395281879063658377348623894576222662247634967680322191764970956793876801695287044161121507833814615641066816675618281756865074865797309493952412625397606477032412618626507189242688070838017867027<196>
prime factors 素因数
400789850397467167226646846984089249<36>
10966549863238340164945567944488190253447279429508627934313149556613034064118973205508985783387774220622784967845139442895716117874566197792651028831275633660723<161>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=942250262
Step 1 took 27367ms
Step 2 took 9935ms
********** Factor found in step 2: 400789850397467167226646846984089249
Found probable prime factor of 36 digits: 400789850397467167226646846984089249

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 26, 2012 10:00:00 UTC 2012 年 3 月 26 日 (月) 19 時 0 分 0 秒 (日本時間)
403e61000 / 2318Dmitry DomanovMarch 29, 2012 09:33:53 UTC 2012 年 3 月 29 日 (木) 18 時 33 分 53 秒 (日本時間)

23×10248-173

c218

composite cofactor 合成数の残り
13515388113898497704502915547310256872684899942663326106490212085108120686900335727049956024487997955592103403052754250765668356121490711788969768942261666391665402374362338228832991403523867029988538095610242973274299<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 26, 2012 10:00:00 UTC 2012 年 3 月 26 日 (月) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 29, 2012 14:15:22 UTC 2012 年 3 月 29 日 (木) 23 時 15 分 22 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 30, 2012 13:58:28 UTC 2012 年 3 月 30 日 (金) 22 時 58 分 28 秒 (日本時間)

23×10249-173

c183

composite cofactor 合成数の残り
640392523932958305976195516373230325167464642326868602093137083041572195378603649076816384537815155875259416680345138541387076281492440308565113996893026922838253569370272295228629921<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 26, 2012 10:00:00 UTC 2012 年 3 月 26 日 (月) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 29, 2012 14:15:31 UTC 2012 年 3 月 29 日 (木) 23 時 15 分 31 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovMarch 30, 2012 13:58:36 UTC 2012 年 3 月 30 日 (金) 22 時 58 分 36 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovApril 1, 2012 20:04:16 UTC 2012 年 4 月 2 日 (月) 5 時 4 分 16 秒 (日本時間)