Table of contents 目次

46×10101+719

c93

name 名前Max Dettweiler
date 日付March 10, 2009 17:03:57 UTC 2009 年 3 月 11 日 (水) 2 時 3 分 57 秒 (日本時間)
composite number 合成数
561403814422262839080338689536646105016417937847801158082802893349651531081065464852239658989<93>
prime factors 素因数
910268395208904786366326084731<30>
616745365847203538452641773299137697957859556570687989939496119<63>
factorization results 素因数分解の結果
Number: 93snfs
N=561403814422262839080338689536646105016417937847801158082802893349651531081065464852239658989
  ( 93 digits)
SNFS difficulty: 103 digits.
Divisors found:
 r1=910268395208904786366326084731 (pp30)
 r2=616745365847203538452641773299137697957859556570687989939496119 (pp63)
Version: Msieve-1.40
Total time: 0.37 hours.
Scaled time: 0.60 units (timescale=1.617).
Factorization parameters were as follows:
n: 561403814422262839080338689536646105016417937847801158082802893349651531081065464852239658989
m: 20000000000000000000000000
deg: 4
c4: 115
c0: 284
skew: 1.25
type: snfs
lss: 1
rlim: 370000
alim: 370000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2
Factor base limits: 370000/370000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [185000, 235001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 36202 x 36442
Total sieving time: 0.37 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,103,4,0,0,0,0,0,0,0,0,370000,370000,25,25,43,43,2.2,2.2,10000
total time: 0.37 hours.
 --------- CPU info (if available) ----------
[    0.371493] CPU0: Intel(R) Core(TM)2 Duo CPU     E4500  @ 2.20GHz stepping 0d
[    0.456480] CPU1: Intel(R) Core(TM)2 Duo CPU     E4500  @ 2.20GHz stepping 0d
[    0.004000] Memory: 2036264k/2070528k available (2576k kernel code, 32096k reserved, 1165k data, 424k init, 1152180k highmem)
[    0.004011] Calibrating delay loop (skipped), value calculated using timer frequency.. 4400.12 BogoMIPS (lpj=8800240)
[    0.004000] Calibrating delay using timer specific routine.. 4400.40 BogoMIPS (lpj=8800805)
[    0.460053] Total of 2 processors activated (8800.52 BogoMIPS).
software ソフトウェア
GGNFS (sieving) + msieve 1.40beta2 (postprocessing) via factMsieve.pl
execution environment 実行環境
Core 2 Duo E4500 (2.2Ghz), Ubuntu 8.10 32-bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)

46×10104+719

c104

name 名前Ignacio Santos
date 日付March 10, 2009 15:41:21 UTC 2009 年 3 月 11 日 (水) 0 時 41 分 21 秒 (日本時間)
composite number 合成数
18930041152263374485596707818930041152263374485596707818930041152263374485596707818930041152263374485597<104>
prime factors 素因数
46397742154740265377875973078126593<35>
407994878050965040134414999083253246694580794853731611179624305780829<69>
factorization results 素因数分解の結果
Number: 51119_104
N=18930041152263374485596707818930041152263374485596707818930041152263374485596707818930041152263374485597
  ( 104 digits)
SNFS difficulty: 105 digits.
Divisors found:
 r1=46397742154740265377875973078126593 (pp35)
 r2=407994878050965040134414999083253246694580794853731611179624305780829 (pp69)
Version: Msieve-1.39
Total time: 0.31 hours.
Scaled time: 0.36 units (timescale=1.139).
Factorization parameters were as follows:
n: 18930041152263374485596707818930041152263374485596707818930041152263374485596707818930041152263374485597
m: 100000000000000000000000000
deg: 4
c4: 46
c0: 71
skew: 1.11
type: snfs
lss: 1
rlim: 400000
alim: 400000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2Factor base limits: 400000/400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [200000, 260001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 38758 x 38990
Total sieving time: 0.31 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,105,4,0,0,0,0,0,0,0,0,400000,400000,25,25,44,44,2.2,2.2,20000
total time: 0.31 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)

46×10121+719

c112

name 名前Ignacio Santos
date 日付March 10, 2009 16:47:49 UTC 2009 年 3 月 11 日 (水) 1 時 47 分 49 秒 (日本時間)
composite number 合成数
2513358273664280143428310555211316635939192846588905490712504526036387538687321885693404474919042021725138104967<112>
prime factors 素因数
46009683390482676142661469113136711350972508440317<50>
54626723951423242493762457044144963710391442346120152601866451<62>
factorization results 素因数分解の結果
Number: 51119_121
N=2513358273664280143428310555211316635939192846588905490712504526036387538687321885693404474919042021725138104967
  ( 112 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=46009683390482676142661469113136711350972508440317 (pp50)
 r2=54626723951423242493762457044144963710391442346120152601866451 (pp62)
Version: Msieve-1.39
Total time: 1.85 hours.
Scaled time: 2.22 units (timescale=1.203).
Factorization parameters were as follows:
n: 2513358273664280143428310555211316635939192846588905490712504526036387538687321885693404474919042021725138104967
m: 1000000000000000000000000
deg: 5
c5: 460
c0: 71
skew: 0.69
type: snfs
lss: 1
rlim: 780000
alim: 780000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 780000/780000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [390000, 790001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 98393 x 98630
Total sieving time: 1.85 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,122,5,0,0,0,0,0,0,0,0,780000,780000,25,25,46,46,2.2,2.2,50000
total time: 1.85 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)

46×10128+719

c108

name 名前Ignacio Santos
date 日付March 10, 2009 17:56:01 UTC 2009 年 3 月 11 日 (水) 2 時 56 分 1 秒 (日本時間)
composite number 合成数
913631860332401561017826634196444054068347171953019310974100172516873181398679747654830915258945166206190201<108>
prime factors 素因数
1370699867468772090856264595932743748201541<43>
666544064106153667875823113158516179177104168930788199356268868261<66>
factorization results 素因数分解の結果
Number: 51119_128
N=913631860332401561017826634196444054068347171953019310974100172516873181398679747654830915258945166206190201
  ( 108 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=1370699867468772090856264595932743748201541 (pp43)
 r2=666544064106153667875823113158516179177104168930788199356268868261 (pp66)
Version: Msieve-1.39
Total time: 3.01 hours.
Scaled time: 3.60 units (timescale=1.197).
Factorization parameters were as follows:
n: 913631860332401561017826634196444054068347171953019310974100172516873181398679747654830915258945166206190201
m: 50000000000000000000000000
deg: 5
c5: 368
c0: 1775
skew: 1.37
type: snfs
lss: 1
rlim: 1070000
alim: 1070000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1070000/1070000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [535000, 1135001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 167666 x 167914
Total sieving time: 3.01 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,131,5,0,0,0,0,0,0,0,0,1070000,1070000,26,26,47,47,2.3,2.3,50000
total time: 3.01 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)

46×10129+719

c119

name 名前Ignacio Santos
date 日付March 10, 2009 18:55:16 UTC 2009 年 3 月 11 日 (水) 3 時 55 分 16 秒 (日本時間)
composite number 合成数
12379282543083229215318036156147492197131000724546780647582298971878710416303799076634055246353614555139699826550886379<119>
prime factors 素因数
8538467243791808437910109352246048481<37>
1856651886231892063895947145518138484891<40>
780881394845341467663468221315394520530449<42>
factorization results 素因数分解の結果
Number: 51119_129
N=12379282543083229215318036156147492197131000724546780647582298971878710416303799076634055246353614555139699826550886379
  ( 119 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=8538467243791808437910109352246048481 (pp37)
 r2=1856651886231892063895947145518138484891 (pp40)
 r3=780881394845341467663468221315394520530449 (pp42)
Version: Msieve-1.39
Total time: 2.65 hours.
Scaled time: 3.17 units (timescale=1.198).
Factorization parameters were as follows:
n: 12379282543083229215318036156147492197131000724546780647582298971878710416303799076634055246353614555139699826550886379
m: 100000000000000000000000000
deg: 5
c5: 23
c0: 355
skew: 1.73
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, 1040001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 163702 x 163950
Total sieving time: 2.65 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,131,5,0,0,0,0,0,0,0,0,1080000,1080000,26,26,47,47,2.3,2.3,50000
total time: 2.65 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)

46×10131+719

c95

name 名前Max Dettweiler
date 日付March 10, 2009 21:15:44 UTC 2009 年 3 月 11 日 (水) 6 時 15 分 44 秒 (日本時間)
composite number 合成数
50153109748701971208896012917889902994802688403405049385816511415632634298926030804541817357123<95>
prime factors 素因数
24836285458873298928376313085558197539<38>
2019348256878070729579299955784787789740821226032796066657<58>
factorization results 素因数分解の結果
Number: c95-snfs
N=50153109748701971208896012917889902994802688403405049385816511415632634298926030804541817357123
  ( 95 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=24836285458873298928376313085558197539 (pp38)
 r2=2019348256878070729579299955784787789740821226032796066657 (pp58)
Version: Msieve-1.40
Total time: 3.76 hours.
Scaled time: 6.01 units (timescale=1.598).
Factorization parameters were as follows:
n: 50153109748701971208896012917889902994802688403405049385816511415632634298926030804541817357123
m: 100000000000000000000000000
deg: 5
c5: 460
c0: 71
skew: 0.69
type: snfs
lss: 1
rlim: 1140000
alim: 1140000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1140000/1140000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [570000, 1120001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 186854 x 187102
Total sieving time: 3.76 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,132,5,0,0,0,0,0,0,0,0,1140000,1140000,26,26,47,47,2.3,2.3,50000
total time: 3.76 hours.
 --------- CPU info (if available) ----------
[    0.371493] CPU0: Intel(R) Core(TM)2 Duo CPU     E4500  @ 2.20GHz stepping 0d
[    0.456480] CPU1: Intel(R) Core(TM)2 Duo CPU     E4500  @ 2.20GHz stepping 0d
[    0.004000] Memory: 2036264k/2070528k available (2576k kernel code, 32096k reserved, 1165k data, 424k init, 1152180k highmem)
[    0.004011] Calibrating delay loop (skipped), value calculated using timer frequency.. 4400.12 BogoMIPS (lpj=8800240)
[    0.004000] Calibrating delay using timer specific routine.. 4400.40 BogoMIPS (lpj=8800805)
[    0.460053] Total of 2 processors activated (8800.52 BogoMIPS).
software ソフトウェア
GGNFS (sieving) + msieve v1.40beta2 (postprocessing)
execution environment 実行環境
Core 2 Duo E4500 (2.2Ghz), Ubuntu 8.10 32-bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)

46×10135+719

c104

name 名前Max Dettweiler
date 日付March 10, 2009 23:41:56 UTC 2009 年 3 月 11 日 (水) 8 時 41 分 56 秒 (日本時間)
composite number 合成数
11190373111376128317290326404384020441398937771609307971986652839947006576393671485775642513777005166309<104>
prime factors 素因数
4073095510555953166009954261289693<34>
2747387848474171759521012098472172516349340423226028190381151990067113<70>
factorization results 素因数分解の結果
Number: c104-snfs
N=11190373111376128317290326404384020441398937771609307971986652839947006576393671485775642513777005166309
  ( 104 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=4073095510555953166009954261289693 (pp34)
 r2=2747387848474171759521012098472172516349340423226028190381151990067113 (pp70)
Version: Msieve-1.40
Total time: 4.42 hours.
Scaled time: 7.21 units (timescale=1.630).
Factorization parameters were as follows:
n: 11190373111376128317290326404384020441398937771609307971986652839947006576393671485775642513777005166309
m: 1000000000000000000000000000
deg: 5
c5: 46
c0: 71
skew: 1.09
type: snfs
lss: 1
rlim: 1330000
alim: 1330000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1330000/1330000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [665000, 1265001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 178456 x 178704
Total sieving time: 4.42 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,136,5,0,0,0,0,0,0,0,0,1330000,1330000,26,26,48,48,2.3,2.3,75000
total time: 4.42 hours.
 --------- CPU info (if available) ----------
[    0.371493] CPU0: Intel(R) Core(TM)2 Duo CPU     E4500  @ 2.20GHz stepping 0d
[    0.456480] CPU1: Intel(R) Core(TM)2 Duo CPU     E4500  @ 2.20GHz stepping 0d
[    0.004000] Memory: 2036264k/2070528k available (2576k kernel code, 32096k reserved, 1165k data, 424k init, 1152180k highmem)
[    0.004011] Calibrating delay loop (skipped), value calculated using timer frequency.. 4400.12 BogoMIPS (lpj=8800240)
[    0.004000] Calibrating delay using timer specific routine.. 4400.40 BogoMIPS (lpj=8800805)
[    0.460053] Total of 2 processors activated (8800.52 BogoMIPS).
software ソフトウェア
GGNFS (sieving) + msieve v1.40beta2 (postprocessing) via factMsieve.pl
execution environment 実行環境
Core 2 Duo E4500 (2.2Ghz), Ubuntu 8.10 32-bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)

46×10140+719

c132

name 名前Max Dettweiler
date 日付March 10, 2009 19:26:20 UTC 2009 年 3 月 11 日 (水) 4 時 26 分 20 秒 (日本時間)
composite number 合成数
127047741792798316217254001664158763991314954393841571660035996551025121160452319171820107600344546858211866086955852492935198843501<132>
prime factors 素因数
170709216132860956637096332810026479832037334714407579<54>
744234814445627626849250096187520695493006138311265255510571169683581844890519<78>
factorization results 素因数分解の結果
Number: c132-snfs
N=127047741792798316217254001664158763991314954393841571660035996551025121160452319171820107600344546858211866086955852492935198843501
  ( 132 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=170709216132860956637096332810026479832037334714407579 (pp54)
 r2=744234814445627626849250096187520695493006138311265255510571169683581844890519 (pp78)
Version: Msieve-1.40
Total time: 3.79 hours.
Scaled time: 5.29 units (timescale=1.397).
Factorization parameters were as follows:
n: 127047741792798316217254001664158763991314954393841571660035996551025121160452319171820107600344546858211866086955852492935198843501
m: 10000000000000000000000000000
deg: 5
c5: 46
c0: 71
skew: 1.09
type: snfs
lss: 1
rlim: 1610000
alim: 1610000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1610000/1610000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [805000, 1605001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 240599 x 240847
Total sieving time: 3.79 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,141,5,0,0,0,0,0,0,0,0,1610000,1610000,26,26,48,48,2.3,2.3,100000
total time: 3.79 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS (sieving) + msieve v1.40beta2 (postprocessing) via factMsieve.pl
execution environment 実行環境
Core 2 Quad Q6600 (2.8Ghz), Windows Vista 32-bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)

46×10143+719

c139

name 名前Ignacio Santos
date 日付March 10, 2009 22:11:53 UTC 2009 年 3 月 11 日 (水) 7 時 11 分 53 秒 (日本時間)
composite number 合成数
1275676101400720091427151545606391248196374251198927544647970246796181069465832818209777169890383371173768993361215175775687332896830249941<139>
prime factors 素因数
97048476889694747931582548591254566855340946171026940283703<59>
13144730780789614385948948986670127604676454170169609999833165175217833747435347<80>
factorization results 素因数分解の結果
Number: 51119_143
N=1275676101400720091427151545606391248196374251198927544647970246796181069465832818209777169890383371173768993361215175775687332896830249941
  ( 139 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=97048476889694747931582548591254566855340946171026940283703 (pp59)
 r2=13144730780789614385948948986670127604676454170169609999833165175217833747435347 (pp80)
Version: Msieve-1.39
Total time: 9.57 hours.
Scaled time: 11.48 units (timescale=1.200).
Factorization parameters were as follows:
n: 1275676101400720091427151545606391248196374251198927544647970246796181069465832818209777169890383371173768993361215175775687332896830249941
m: 50000000000000000000000000000
deg: 5
c5: 368
c0: 1775
skew: 1.37
type: snfs
lss: 1
rlim: 1900000
alim: 1900000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1900000/1900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [950000, 2650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 360745 x 360993
Total sieving time: 9.57 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,146,5,0,0,0,0,0,0,0,0,1900000,1900000,26,26,49,49,2.3,2.3,100000
total time: 9.57 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)

46×10144+719

c127

name 名前Ignacio Santos
date 日付March 11, 2009 06:15:26 UTC 2009 年 3 月 11 日 (水) 15 時 15 分 26 秒 (日本時間)
composite number 合成数
5553389351595602956412071273642650455228243831370613711217333031056967390411741311451239092475845957096412679705356650093628611<127>
prime factors 素因数
500082844191092308756949487823356333584022932113<48>
11104938743856477054517868159608136536088822909774673995551781412181151757616147<80>
factorization results 素因数分解の結果
Number: 51119_144
N=5553389351595602956412071273642650455228243831370613711217333031056967390411741311451239092475845957096412679705356650093628611
  ( 127 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=500082844191092308756949487823356333584022932113 (pp48)
 r2=11104938743856477054517868159608136536088822909774673995551781412181151757616147 (pp80)
Version: Msieve-1.39
Total time: 8.25 hours.
Scaled time: 9.95 units (timescale=1.207).
Factorization parameters were as follows:
n: 5553389351595602956412071273642650455228243831370613711217333031056967390411741311451239092475845957096412679705356650093628611
m: 100000000000000000000000000000
deg: 5
c5: 23
c0: 355
skew: 1.73
type: snfs
lss: 1
rlim: 1930000
alim: 1930000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1930000/1930000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [965000, 2465001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 319483 x 319731
Total sieving time: 8.25 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1930000,1930000,26,26,49,49,2.3,2.3,100000
total time: 8.25 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)

46×10146+719

c91

name 名前Max Dettweiler
date 日付March 10, 2009 18:00:37 UTC 2009 年 3 月 11 日 (水) 3 時 0 分 37 秒 (日本時間)
composite number 合成数
1964827044440102596080671481043079945118991673870403606934075870005358155177051070709172463<91>
prime factors 素因数
611134958113531502328771287835413519939267<42>
3215046068556093932138125748101914783298678553189<49>
factorization results 素因数分解の結果
03/10/09 12:15:11 v1.06 @ Core2Duo, starting SIQS on c91: 1964827044440102596080671481043079945118991673870403606934075870005358155177051070709172463
03/10/09 12:15:12 v1.06 @ Core2Duo, ==== sieve params ====
03/10/09 12:15:12 v1.06 @ Core2Duo, n = 91 digits, 302 bits
03/10/09 12:15:12 v1.06 @ Core2Duo, factor base: 67412 primes (max prime = 1793819)
03/10/09 12:15:12 v1.06 @ Core2Duo, single large prime cutoff: 215258280 (120 * pmax)
03/10/09 12:15:12 v1.06 @ Core2Duo, double large prime range from 43 to 50 bits
03/10/09 12:15:12 v1.06 @ Core2Duo, double large prime cutoff: 998453303834859
03/10/09 12:15:12 v1.06 @ Core2Duo, using 10 large prime slices of factor base
03/10/09 12:15:12 v1.06 @ Core2Duo, buckets hold 1024 elements
03/10/09 12:15:12 v1.06 @ Core2Duo, sieve interval: 22 blocks of size 32768
03/10/09 12:15:12 v1.06 @ Core2Duo, polynomial A has ~ 12 factors
03/10/09 12:15:12 v1.06 @ Core2Duo, using multiplier of 3
03/10/09 12:15:12 v1.06 @ Core2Duo, using small prime variation correction of 21 bits
03/10/09 12:15:12 v1.06 @ Core2Duo, trial factoring cutoff at 97 bits
03/10/09 12:15:12 v1.06 @ Core2Duo, ==== sieving started ====
03/10/09 13:57:06 v1.06 @ Core2Duo, sieve time = 2433.0100, relation time = 1022.4100, poly_time = 2401.3600
03/10/09 13:57:06 v1.06 @ Core2Duo, 67491 relations found: 18551 full + 48940 from 829029 partial, using 522557 polys (255 A polys)
03/10/09 13:57:06 v1.06 @ Core2Duo, trial division touched 29391370 sieve locations out of 753418502144
03/10/09 13:57:06 v1.06 @ Core2Duo, ==== post processing stage (msieve-1.38) ====
03/10/09 13:57:07 v1.06 @ Core2Duo, begin with 847580 relations
03/10/09 13:57:07 v1.06 @ Core2Duo, reduce to 160926 relations in 10 passes
03/10/09 13:57:08 v1.06 @ Core2Duo, failed to read relation 52007
03/10/09 13:57:10 v1.06 @ Core2Duo, recovered 160925 relations
03/10/09 13:57:10 v1.06 @ Core2Duo, recovered 138434 polynomials
03/10/09 13:57:10 v1.06 @ Core2Duo, attempting to build 67490 cycles
03/10/09 13:57:10 v1.06 @ Core2Duo, found 67490 cycles in 5 passes
03/10/09 13:57:10 v1.06 @ Core2Duo, distribution of cycle lengths:
03/10/09 13:57:10 v1.06 @ Core2Duo,    length 1 : 18551
03/10/09 13:57:10 v1.06 @ Core2Duo,    length 2 : 14074
03/10/09 13:57:10 v1.06 @ Core2Duo,    length 3 : 12387
03/10/09 13:57:10 v1.06 @ Core2Duo,    length 4 : 8750
03/10/09 13:57:10 v1.06 @ Core2Duo,    length 5 : 6007
03/10/09 13:57:10 v1.06 @ Core2Duo,    length 6 : 3475
03/10/09 13:57:10 v1.06 @ Core2Duo,    length 7 : 2016
03/10/09 13:57:10 v1.06 @ Core2Duo,    length 9+: 2230
03/10/09 13:57:10 v1.06 @ Core2Duo, largest cycle: 18 relations
03/10/09 13:57:11 v1.06 @ Core2Duo, matrix is 67412 x 67490 (15.9 MB) with weight 3888400 (57.61/col)
03/10/09 13:57:11 v1.06 @ Core2Duo, sparse part has weight 3888400 (57.61/col)
03/10/09 13:57:11 v1.06 @ Core2Duo, filtering completed in 3 passes
03/10/09 13:57:11 v1.06 @ Core2Duo, matrix is 63087 x 63151 (15.0 MB) with weight 3679787 (58.27/col)
03/10/09 13:57:11 v1.06 @ Core2Duo, sparse part has weight 3679787 (58.27/col)
03/10/09 13:57:11 v1.06 @ Core2Duo, saving the first 48 matrix rows for later
03/10/09 13:57:12 v1.06 @ Core2Duo, matrix is 63039 x 63151 (9.5 MB) with weight 2844451 (45.04/col)
03/10/09 13:57:12 v1.06 @ Core2Duo, sparse part has weight 2117659 (33.53/col)
03/10/09 13:57:12 v1.06 @ Core2Duo, matrix includes 64 packed rows
03/10/09 13:57:12 v1.06 @ Core2Duo, using block size 25260 for processor cache size 2048 kB
03/10/09 13:57:12 v1.06 @ Core2Duo, commencing Lanczos iteration
03/10/09 13:57:12 v1.06 @ Core2Duo, memory use: 9.4 MB
03/10/09 13:57:33 v1.06 @ Core2Duo, lanczos halted after 998 iterations (dim = 63038)
03/10/09 13:57:33 v1.06 @ Core2Duo, recovered 17 nontrivial dependencies
03/10/09 13:57:36 v1.06 @ Core2Duo, prp42 = 611134958113531502328771287835413519939267
03/10/09 13:57:36 v1.06 @ Core2Duo, prp49 = 3215046068556093932138125748101914783298678553189
03/10/09 13:57:36 v1.06 @ Core2Duo, Lanczos elapsed time = 26.3700 seconds.
03/10/09 13:57:36 v1.06 @ Core2Duo, Sqrt elapsed time = 3.3200 seconds.
03/10/09 13:57:36 v1.06 @ Core2Duo, Total elapsed time = 1615.5627 seconds.
software ソフトウェア
Yafu v1.06
execution environment 実行環境
Core 2 Duo E4500 (2.2Ghz), Ubuntu 8.10 32-bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)

46×10149+719

c110

name 名前Sinkiti Sibata
date 日付March 14, 2009 06:24:16 UTC 2009 年 3 月 14 日 (土) 15 時 24 分 16 秒 (日本時間)
composite number 合成数
96535159080457141562553599924179572078378688482304099085018154453390575429391121077991157384943851790967620629<110>
prime factors 素因数
3717593605046269974941029954521038665650971<43>
25967109193812927293021015198828053542275514600080287790314157459599<68>
factorization results 素因数分解の結果
Number: 51119_149
N=96535159080457141562553599924179572078378688482304099085018154453390575429391121077991157384943851790967620629
  ( 110 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=3717593605046269974941029954521038665650971 (pp43)
 r2=25967109193812927293021015198828053542275514600080287790314157459599 (pp68)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 35.80 hours.
Scaled time: 16.90 units (timescale=0.472).
Factorization parameters were as follows:
name: 51119_149
n: 96535159080457141562553599924179572078378688482304099085018154453390575429391121077991157384943851790967620629
m: 1000000000000000000000000000000
deg: 5
c5: 23
c0: 355
skew: 1.73
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 2050001)
Primes: RFBsize:169511, AFBsize:169527, largePrimes:7020669 encountered
Relations: rels:7047587, finalFF:505189
Max relations in full relation-set: 28
Initial matrix: 339103 x 505189 with sparse part having weight 53942190.
Pruned matrix : 286006 x 287765 with weight 27710283.
Total sieving time: 32.65 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 2.73 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 35.80 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)

46×10150+719

c136

name 名前Ignacio Santos
date 日付March 11, 2009 13:39:41 UTC 2009 年 3 月 11 日 (水) 22 時 39 分 41 秒 (日本時間)
composite number 合成数
5259299268117919981353554263166022581820714930286677440908229002432500590164069557166613950508425935153269996940771900328189140903607409<136>
prime factors 素因数
42538139961910785733246934292034615902317<41>
123637264648317163042355890662940623511699502455330354446549884735561640038234169014759390237077<96>
factorization results 素因数分解の結果
Number: 51119_150
N=5259299268117919981353554263166022581820714930286677440908229002432500590164069557166613950508425935153269996940771900328189140903607409
  ( 136 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=42538139961910785733246934292034615902317 (pp41)
 r2=123637264648317163042355890662940623511699502455330354446549884735561640038234169014759390237077 (pp96)
Version: Msieve-1.39
Total time: 11.95 hours.
Scaled time: 14.33 units (timescale=1.199).
Factorization parameters were as follows:
n: 5259299268117919981353554263166022581820714930286677440908229002432500590164069557166613950508425935153269996940771900328189140903607409
m: 1000000000000000000000000000000
deg: 5
c5: 46
c0: 71
skew: 1.09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 1900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 354651 x 354899
Total sieving time: 11.95 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,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 11.95 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)

46×10153+719

c135

name 名前Ignacio Santos
date 日付March 11, 2009 21:07:56 UTC 2009 年 3 月 12 日 (木) 6 時 7 分 56 秒 (日本時間)
composite number 合成数
454329046760172996815214720499930206896377654307005578295605754041686616968350140341961416219894897211617500385463382812242770707408727<135>
prime factors 素因数
7133083920115793161754192878302086398429<40>
63693214863059925710776140780854555073194599184277823947866274871020184275904123806802758151363<95>
factorization results 素因数分解の結果
Number: 51119_153
N=454329046760172996815214720499930206896377654307005578295605754041686616968350140341961416219894897211617500385463382812242770707408727
  ( 135 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=7133083920115793161754192878302086398429 (pp40)
 r2=63693214863059925710776140780854555073194599184277823947866274871020184275904123806802758151363 (pp95)
Version: Msieve-1.39
Total time: 25.06 hours.
Scaled time: 64.43 units (timescale=2.571).
Factorization parameters were as follows:
n: 454329046760172996815214720499930206896377654307005578295605754041686616968350140341961416219894897211617500385463382812242770707408727
m: 5000000000000000000000000000000
deg: 5
c5: 368
c0: 1775
skew: 1.37
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 523197 x 523445
Total sieving time: 25.06 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 25.06 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)

46×10156+719

c111

name 名前Ignacio Santos
date 日付March 12, 2009 06:56:23 UTC 2009 年 3 月 12 日 (木) 15 時 56 分 23 秒 (日本時間)
composite number 合成数
436808914494603035272948990060886924872748227290197848685460751713925847982802181671282981837615851006452230727<111>
prime factors 素因数
2715484761041453250674567065722056986464791<43>
160858540162485163688402882005891457614428281179133660553932660406097<69>
factorization results 素因数分解の結果
Number: 51119_156
N=436808914494603035272948990060886924872748227290197848685460751713925847982802181671282981837615851006452230727
  ( 111 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=2715484761041453250674567065722056986464791 (pp43)
 r2=160858540162485163688402882005891457614428281179133660553932660406097 (pp69)
Version: Msieve-1.39
Total time: 27.31 hours.
Scaled time: 70.23 units (timescale=2.571).
Factorization parameters were as follows:
n: 436808914494603035272948990060886924872748227290197848685460751713925847982802181671282981837615851006452230727
m: 10000000000000000000000000000000
deg: 5
c5: 460
c0: 71
skew: 0.69
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 3000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 542240 x 542488
Total sieving time: 27.31 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,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 27.31 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)

46×10161+719

c143

name 名前Max Dettweiler
date 日付March 12, 2009 21:47:23 UTC 2009 年 3 月 13 日 (金) 6 時 47 分 23 秒 (日本時間)
composite number 合成数
33630491761463461278107881750538416295896144123471294761109199342706343370308250905348604392930090333968989529496276747314290683246581410140637<143>
prime factors 素因数
16992883783519846308764066577664900740967<41>
1979092671373367048595934073451965110198678986743029049601958788254140099138182740089543592879492970011<103>
factorization results 素因数分解の結果
Thu Mar 12 16:04:04 2009  Msieve v. 1.40
Thu Mar 12 16:04:04 2009  random seeds: 30e12317 790c577c
Thu Mar 12 16:04:04 2009  factoring 33630491761463461278107881750538416295896144123471294761109199342706343370308250905348604392930090333968989529496276747314290683246581410140637 (143 digits)
Thu Mar 12 16:04:05 2009  no P-1/P+1/ECM available, skipping
Thu Mar 12 16:04:05 2009  commencing number field sieve (143-digit input)
Thu Mar 12 16:04:05 2009  R0: -100000000000000000000000000000000
Thu Mar 12 16:04:05 2009  R1:  1
Thu Mar 12 16:04:05 2009  A0:  71
Thu Mar 12 16:04:05 2009  A1:  0
Thu Mar 12 16:04:05 2009  A2:  0
Thu Mar 12 16:04:05 2009  A3:  0
Thu Mar 12 16:04:05 2009  A4:  0
Thu Mar 12 16:04:05 2009  A5:  460
Thu Mar 12 16:04:05 2009  skew 0.69, size 1.255037e-11, alpha 1.174105, combined = 3.813267e-10
Thu Mar 12 16:04:05 2009  
Thu Mar 12 16:04:05 2009  commencing relation filtering
Thu Mar 12 16:04:05 2009  commencing duplicate removal, pass 1
Thu Mar 12 16:04:05 2009  error -9 reading relation 13
Thu Mar 12 16:05:33 2009  found 919606 hash collisions in 9599998 relations
Thu Mar 12 16:05:58 2009  added 1921 free relations
Thu Mar 12 16:05:58 2009  commencing duplicate removal, pass 2
Thu Mar 12 16:06:06 2009  found 831756 duplicates and 8770163 unique relations
Thu Mar 12 16:06:06 2009  memory use: 50.6 MB
Thu Mar 12 16:06:06 2009  reading rational ideals above 3735552
Thu Mar 12 16:06:06 2009  reading algebraic ideals above 3735552
Thu Mar 12 16:06:06 2009  commencing singleton removal, pass 1
Thu Mar 12 16:07:27 2009  relations with 0 large ideals: 98865
Thu Mar 12 16:07:27 2009  relations with 1 large ideals: 729844
Thu Mar 12 16:07:27 2009  relations with 2 large ideals: 2341536
Thu Mar 12 16:07:27 2009  relations with 3 large ideals: 3355712
Thu Mar 12 16:07:27 2009  relations with 4 large ideals: 1836344
Thu Mar 12 16:07:27 2009  relations with 5 large ideals: 58253
Thu Mar 12 16:07:27 2009  relations with 6 large ideals: 349609
Thu Mar 12 16:07:27 2009  relations with 7+ large ideals: 0
Thu Mar 12 16:07:27 2009  8770163 relations and about 9159306 large ideals
Thu Mar 12 16:07:27 2009  commencing singleton removal, pass 2
Thu Mar 12 16:08:52 2009  found 3682975 singletons
Thu Mar 12 16:08:52 2009  current dataset: 5087188 relations and about 4419395 large ideals
Thu Mar 12 16:08:52 2009  commencing singleton removal, pass 3
Thu Mar 12 16:09:40 2009  found 986850 singletons
Thu Mar 12 16:09:40 2009  current dataset: 4100338 relations and about 3355585 large ideals
Thu Mar 12 16:09:40 2009  commencing singleton removal, pass 4
Thu Mar 12 16:10:19 2009  found 294336 singletons
Thu Mar 12 16:10:19 2009  current dataset: 3806002 relations and about 3052506 large ideals
Thu Mar 12 16:10:19 2009  commencing singleton removal, final pass
Thu Mar 12 16:10:59 2009  memory use: 66.6 MB
Thu Mar 12 16:10:59 2009  commencing in-memory singleton removal
Thu Mar 12 16:11:00 2009  begin with 3806002 relations and 3220753 unique ideals
Thu Mar 12 16:11:05 2009  reduce to 3206585 relations and 2607067 ideals in 15 passes
Thu Mar 12 16:11:05 2009  max relations containing the same ideal: 49
Thu Mar 12 16:11:06 2009  reading rational ideals above 720000
Thu Mar 12 16:11:06 2009  reading algebraic ideals above 720000
Thu Mar 12 16:11:06 2009  commencing singleton removal, final pass
Thu Mar 12 16:11:48 2009  keeping 2822482 ideals with weight <= 20, new excess is 327745
Thu Mar 12 16:11:50 2009  memory use: 92.0 MB
Thu Mar 12 16:11:51 2009  commencing in-memory singleton removal
Thu Mar 12 16:11:51 2009  begin with 3208506 relations and 2822482 unique ideals
Thu Mar 12 16:11:55 2009  reduce to 3206205 relations and 2810646 ideals in 9 passes
Thu Mar 12 16:11:55 2009  max relations containing the same ideal: 20
Thu Mar 12 16:11:58 2009  relations with 0 large ideals: 25956
Thu Mar 12 16:11:58 2009  relations with 1 large ideals: 178840
Thu Mar 12 16:11:58 2009  relations with 2 large ideals: 602522
Thu Mar 12 16:11:58 2009  relations with 3 large ideals: 1016724
Thu Mar 12 16:11:58 2009  relations with 4 large ideals: 888209
Thu Mar 12 16:11:58 2009  relations with 5 large ideals: 373815
Thu Mar 12 16:11:58 2009  relations with 6 large ideals: 110612
Thu Mar 12 16:11:58 2009  relations with 7+ large ideals: 9527
Thu Mar 12 16:11:58 2009  commencing 2-way merge
Thu Mar 12 16:12:01 2009  reduce to 1833929 relation sets and 1438640 unique ideals
Thu Mar 12 16:12:01 2009  ignored 270 oversize relation sets
Thu Mar 12 16:12:01 2009  commencing full merge
Thu Mar 12 16:12:25 2009  memory use: 100.4 MB
Thu Mar 12 16:12:25 2009  found 818948 cycles, need 770840
Thu Mar 12 16:12:25 2009  weight of 770840 cycles is about 54088079 (70.17/cycle)
Thu Mar 12 16:12:25 2009  distribution of cycle lengths:
Thu Mar 12 16:12:25 2009  1 relations: 95092
Thu Mar 12 16:12:25 2009  2 relations: 85980
Thu Mar 12 16:12:25 2009  3 relations: 85852
Thu Mar 12 16:12:25 2009  4 relations: 78763
Thu Mar 12 16:12:25 2009  5 relations: 70763
Thu Mar 12 16:12:25 2009  6 relations: 61917
Thu Mar 12 16:12:25 2009  7 relations: 52224
Thu Mar 12 16:12:25 2009  8 relations: 44948
Thu Mar 12 16:12:25 2009  9 relations: 38437
Thu Mar 12 16:12:25 2009  10+ relations: 156864
Thu Mar 12 16:12:25 2009  heaviest cycle: 21 relations
Thu Mar 12 16:12:26 2009  commencing cycle optimization
Thu Mar 12 16:12:28 2009  start with 4639290 relations
Thu Mar 12 16:12:36 2009  pruned 124918 relations
Thu Mar 12 16:12:36 2009  memory use: 123.4 MB
Thu Mar 12 16:12:36 2009  distribution of cycle lengths:
Thu Mar 12 16:12:36 2009  1 relations: 95092
Thu Mar 12 16:12:36 2009  2 relations: 88075
Thu Mar 12 16:12:36 2009  3 relations: 89333
Thu Mar 12 16:12:36 2009  4 relations: 80965
Thu Mar 12 16:12:36 2009  5 relations: 72987
Thu Mar 12 16:12:36 2009  6 relations: 62789
Thu Mar 12 16:12:36 2009  7 relations: 52906
Thu Mar 12 16:12:36 2009  8 relations: 44508
Thu Mar 12 16:12:36 2009  9 relations: 38326
Thu Mar 12 16:12:36 2009  10+ relations: 145859
Thu Mar 12 16:12:36 2009  heaviest cycle: 21 relations
Thu Mar 12 16:12:38 2009  RelProcTime: 466
Thu Mar 12 16:12:38 2009  
Thu Mar 12 16:12:38 2009  commencing linear algebra
Thu Mar 12 16:12:39 2009  read 770840 cycles
Thu Mar 12 16:12:41 2009  cycles contain 2614730 unique relations
Thu Mar 12 16:13:03 2009  read 2614730 relations
Thu Mar 12 16:13:08 2009  using 20 quadratic characters above 134215832
Thu Mar 12 16:13:25 2009  building initial matrix
Thu Mar 12 16:14:20 2009  memory use: 279.4 MB
Thu Mar 12 16:14:21 2009  read 770840 cycles
Thu Mar 12 16:14:25 2009  matrix is 769966 x 770840 (217.9 MB) with weight 67686320 (87.81/col)
Thu Mar 12 16:14:25 2009  sparse part has weight 51726666 (67.10/col)
Thu Mar 12 16:14:46 2009  filtering completed in 3 passes
Thu Mar 12 16:14:46 2009  matrix is 758782 x 758981 (215.4 MB) with weight 66834112 (88.06/col)
Thu Mar 12 16:14:46 2009  sparse part has weight 51142090 (67.38/col)
Thu Mar 12 16:14:56 2009  read 758981 cycles
Thu Mar 12 16:14:56 2009  matrix is 758782 x 758981 (215.4 MB) with weight 66834112 (88.06/col)
Thu Mar 12 16:14:56 2009  sparse part has weight 51142090 (67.38/col)
Thu Mar 12 16:14:56 2009  saving the first 48 matrix rows for later
Thu Mar 12 16:14:57 2009  matrix is 758734 x 758981 (202.7 MB) with weight 53035025 (69.88/col)
Thu Mar 12 16:14:57 2009  sparse part has weight 48576287 (64.00/col)
Thu Mar 12 16:14:57 2009  matrix includes 64 packed rows
Thu Mar 12 16:14:57 2009  using block size 65536 for processor cache size 2048 kB
Thu Mar 12 16:15:02 2009  commencing Lanczos iteration (2 threads)
Thu Mar 12 16:15:02 2009  memory use: 209.4 MB
Thu Mar 12 17:28:24 2009  lanczos halted after 12001 iterations (dim = 758732)
Thu Mar 12 17:28:26 2009  recovered 37 nontrivial dependencies
Thu Mar 12 17:28:26 2009  BLanczosTime: 7786
Thu Mar 12 17:28:26 2009  
Thu Mar 12 17:28:26 2009  commencing square root phase
Thu Mar 12 17:28:26 2009  reading relations for dependency 1
Thu Mar 12 17:28:27 2009  read 379915 cycles
Thu Mar 12 17:28:28 2009  cycles contain 1582369 unique relations
Thu Mar 12 17:28:48 2009  read 1582369 relations
Thu Mar 12 17:28:58 2009  multiplying 1298358 relations
Thu Mar 12 17:30:51 2009  multiply complete, coefficients have about 39.09 million bits
Thu Mar 12 17:30:52 2009  initial square root is modulo 409691
Thu Mar 12 17:34:41 2009  reading relations for dependency 2
Thu Mar 12 17:34:42 2009  read 379636 cycles
Thu Mar 12 17:34:43 2009  cycles contain 1581643 unique relations
Thu Mar 12 17:35:04 2009  read 1581643 relations
Thu Mar 12 17:35:13 2009  multiplying 1297484 relations
Thu Mar 12 17:37:06 2009  multiply complete, coefficients have about 39.06 million bits
Thu Mar 12 17:37:07 2009  initial square root is modulo 406331
Thu Mar 12 17:40:54 2009  sqrtTime: 668
Thu Mar 12 17:40:54 2009  prp41 factor: 16992883783519846308764066577664900740967
Thu Mar 12 17:40:54 2009  prp103 factor: 1979092671373367048595934073451965110198678986743029049601958788254140099138182740089543592879492970011
Thu Mar 12 17:40:54 2009  elapsed time 01:36:50
software ソフトウェア
GGNFS (sieving) + msieve v1.40beta2 (postprocessing)
execution environment 実行環境
Core 2 Duo E4500 (2.2Ghz), Ubuntu 8.10 32-bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)

46×10162+719

c162

name 名前Ignacio Santos
date 日付March 11, 2009 13:42:22 UTC 2009 年 3 月 11 日 (水) 22 時 42 分 22 秒 (日本時間)
composite number 合成数
393162393162393162393162393162393162393162393162393162393162393162393162393162393162393162393162393162393162393162393162393162393162393162393162393162393162393163<162>
prime factors 素因数
57800249016433959471978077093391209607071442449632919182640852059<65>
6802088223713498538731821213822390527250157537497199065944202659052719853731469736697689689346257<97>
factorization results 素因数分解の結果
Number: 51119_162
N=393162393162393162393162393162393162393162393162393162393162393162393162393162393162393162393162393162393162393162393162393162393162393162393162393162393162393163
  ( 162 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=57800249016433959471978077093391209607071442449632919182640852059 (pp65)
 r2=6802088223713498538731821213822390527250157537497199065944202659052719853731469736697689689346257 (pp97)
Version: Msieve-1.39
Total time: 43.47 hours.
Scaled time: 111.28 units (timescale=2.560).
Factorization parameters were as follows:
n: 393162393162393162393162393162393162393162393162393162393162393162393162393162393162393162393162393162393162393162393162393162393162393162393162393162393162393163
m: 200000000000000000000000000000000
deg: 5
c5: 575
c0: 284
skew: 0.87
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, 4200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 749577 x 749825
Total sieving time: 43.47 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 43.47 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)

46×10163+719

c164

name 名前Ignacio Santos
date 日付March 12, 2009 06:57:47 UTC 2009 年 3 月 12 日 (木) 15 時 57 分 47 秒 (日本時間)
composite number 合成数
51111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119<164>
prime factors 素因数
7541934798456785863129669147390842480985292538523<49>
6776922961674152159210898254957167446794903963445963850920375427234007766800528046684857758168998176148283384837853<115>
factorization results 素因数分解の結果
Number: 51119_163
N=51111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119
  ( 164 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=7541934798456785863129669147390842480985292538523 (pp49)
 r2=6776922961674152159210898254957167446794903963445963850920375427234007766800528046684857758168998176148283384837853 (pp115)
Version: Msieve-1.39
Total time: 48.64 hours.
Scaled time: 84.59 units (timescale=1.739).
Factorization parameters were as follows:
n: 51111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119
m: 500000000000000000000000000000000
deg: 5
c5: 368
c0: 1775
skew: 1.37
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 4950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 862475 x 862723
Total sieving time: 48.64 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,166,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 48.64 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)

46×10164+719

c121

name 名前Andreas Tete
date 日付April 13, 2009 20:50:01 UTC 2009 年 4 月 14 日 (火) 5 時 50 分 1 秒 (日本時間)
composite number 合成数
1902621632145848017208325790647987679843929284650953573004899535471603354700998317355274830918395852971997902341785858047<121>
prime factors 素因数
2085491164318326769316061631065415687<37>
912313446682833428261016780631623637749006006146390104272853716796969509502773150281<84>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=983803196
********** Factor found in step 2: 2085491164318326769316061631065415687
Found probable prime factor of 37 digits: 2085491164318326769316061631065415687
Probable prime cofactor 912313446682833428261016780631623637749006006146390104272853716796969509502773150281 has 84 digits
software ソフトウェア
GMP-ECM 6.2.1
execution environment 実行環境
Intel Core 2 Duo T8100 / Windows Vista Home Premium 32 bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)
786Andreas TeteApril 11, 2009 14:22:30 UTC 2009 年 4 月 11 日 (土) 23 時 22 分 30 秒 (日本時間)

46×10165+719

c137

name 名前Robert Backstrom
date 日付April 17, 2009 22:27:13 UTC 2009 年 4 月 18 日 (土) 7 時 27 分 13 秒 (日本時間)
composite number 合成数
97849893167185795053681505438158227359229056175828170023743411900227181839092558179099204573640195680027563053318468911424344244846559759<137>
prime factors 素因数
694575844284880677867191247137091366345427839339582636913<57>
140877189974738893565168112114361733965740981505111702335142003362792062349532543<81>
factorization results 素因数分解の結果
Number: n
N=97849893167185795053681505438158227359229056175828170023743411900227181839092558179099204573640195680027563053318468911424344244846559759
  ( 137 digits)
SNFS difficulty: 166 digits.
Divisors found:

Sat Apr 18 05:42:10 2009  prp57 factor: 694575844284880677867191247137091366345427839339582636913
Sat Apr 18 05:42:10 2009  prp81 factor: 140877189974738893565168112114361733965740981505111702335142003362792062349532543
Sat Apr 18 05:42:10 2009  elapsed time 00:59:04 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 34.25 hours.
Scaled time: 91.11 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_5_1_164_9
n: 97849893167185795053681505438158227359229056175828170023743411900227181839092558179099204573640195680027563053318468911424344244846559759
m: 1000000000000000000000000000000000
deg: 5
c5: 46
c0: 71
skew: 1.09
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [2100000, 4073129)
Primes: RFBsize:296314, AFBsize:296472, largePrimes:8717814 encountered
Relations: rels:8479753, finalFF:538519
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 872510 hash collisions in 9552985 relations
Msieve: matrix is 720695 x 720943 (193.3 MB)

Total sieving time: 33.98 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 34.25 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)

46×10167+719

c154

name 名前Ignacio Santos
date 日付March 17, 2009 18:40:37 UTC 2009 年 3 月 18 日 (水) 3 時 40 分 37 秒 (日本時間)
composite number 合成数
2930052856048747415696412580021740877656459525605510537337184012695666922105062747081510430361540113889889941395993487864740777776024112205338840894995683<154>
prime factors 素因数
107947980468983175179209407936978627331988033676681083<54>
27143192890863234580560273644490456064319074781755462331364854263414746355660087083256912160513206201<101>
factorization results 素因数分解の結果
Number: 51119_167
N=2930052856048747415696412580021740877656459525605510537337184012695666922105062747081510430361540113889889941395993487864740777776024112205338840894995683
  ( 154 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=107947980468983175179209407936978627331988033676681083 (pp54)
 r2=27143192890863234580560273644490456064319074781755462331364854263414746355660087083256912160513206201 (pp101)
Version: Msieve-1.39
Total time: 62.79 hours.
Scaled time: 161.43 units (timescale=2.571).
Factorization parameters were as follows:
n: 2930052856048747415696412580021740877656459525605510537337184012695666922105062747081510430361540113889889941395993487864740777776024112205338840894995683
m: 2000000000000000000000000000000000
deg: 5
c5: 575
c0: 284
skew: 0.87
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2300000, 5500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 916037 x 916285
Total sieving time: 62.79 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,169,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 62.79 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)

46×10168+719

c155

name 名前Robert Backstrom
date 日付March 27, 2009 18:47:53 UTC 2009 年 3 月 28 日 (土) 3 時 47 分 53 秒 (日本時間)
composite number 合成数
38215603508259411274979741248363330838097261366926042069863624871097160809685140681287477149915512645041996754268125206269981445882823582837890494768348781<155>
prime factors 素因数
17471464129836365814931789218571329749<38>
141275887934387088918433822407219888328785550169645917<54>
15482581541185975084705285429391126016253950713185106907656310157<65>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 38215603508259411274979741248363330838097261366926042069863624871097160809685140681287477149915512645041996754268125206269981445882823582837890494768348781 (155 digits)
Using B1=1902000, B2=2853920170, polynomial Dickson(6), sigma=2699684377
Step 1 took 32479ms
Step 2 took 11388ms
********** Factor found in step 2: 17471464129836365814931789218571329749
Found probable prime factor of 38 digits: 17471464129836365814931789218571329749
Composite cofactor 2187315454747599957262681204066632824538375447374393308106855746227320684871358623712175018680473014032220407420678969 has 118 digits


Number: n
N=2187315454747599957262681204066632824538375447374393308106855746227320684871358623712175018680473014032220407420678969
  ( 118 digits)
Divisors found:

Sat Mar 28 05:28:03 2009  prp54 factor: 141275887934387088918433822407219888328785550169645917
Sat Mar 28 05:28:03 2009  prp65 factor: 15482581541185975084705285429391126016253950713185106907656310157
Sat Mar 28 05:28:03 2009  elapsed time 01:18:32 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 28.53 hours.
Scaled time: 75.89 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_5_1_167_9
n: 2187315454747599957262681204066632824538375447374393308106855746227320684871358623712175018680473014032220407420678969
skew: 43271.35
# norm 2.74e+16
c5: 56880
c4: 18038371314
c3: -333026503155184
c2: -7470405842608349126
c1: -136619444764706775747779
c0: -3058100909330477201165739940
# alpha -6.32
Y1: 864609803699
Y0: -32884378819716757892421
# Murphy_E 3.76e-10
# M 1118767806770688025859182493513034584215833027743594558217465092282461308752967594068423351362471169988009929142135920
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 4011467)
Primes: RFBsize:315948, AFBsize:315599, largePrimes:10805214 encountered
Relations: rels:9805383, finalFF:628669
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 824513 hash collisions in 10764421 relations
Msieve: matrix is 654424 x 654672 (181.7 MB)

Total sieving time: 27.92 hours.
Total relation processing time: 0.61 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,28,28,56,56,2.4,2.4,60000
total time: 28.53 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)

46×10169+719

c139

name 名前Jo Yeong Uk
date 日付September 2, 2009 23:06:09 UTC 2009 年 9 月 3 日 (木) 8 時 6 分 9 秒 (日本時間)
composite number 合成数
2551834579823946874729908717308735635277974678882990847240512167590000681701754074603221507742987070694414782032556889668754576709298624519<139>
prime factors 素因数
7869899312705939875327158792352250969639308808703596351<55>
324252506725723163935370179632867223784323136137681244398680972982897152912578221369<84>
factorization results 素因数分解の結果
Number: 51119_169
N=2551834579823946874729908717308735635277974678882990847240512167590000681701754074603221507742987070694414782032556889668754576709298624519
  ( 139 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=7869899312705939875327158792352250969639308808703596351
 r2=324252506725723163935370179632867223784323136137681244398680972982897152912578221369
Version: 
Total time: 44.46 hours.
Scaled time: 105.85 units (timescale=2.381).
Factorization parameters were as follows:
n: 2551834579823946874729908717308735635277974678882990847240512167590000681701754074603221507742987070694414782032556889668754576709298624519
m: 10000000000000000000000000000000000
deg: 5
c5: 23
c0: 355
skew: 1.73
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [3000000, 6400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11235283
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1086131 x 1086379
Total sieving time: 40.21 hours.
Total relation processing time: 1.45 hours.
Matrix solve time: 2.67 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,52,52,2.4,2.4,100000
total time: 44.46 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673801)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672349)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672379)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)
786Jo Yeong UkJuly 26, 2009 16:04:07 UTC 2009 年 7 月 27 日 (月) 1 時 4 分 7 秒 (日本時間)

46×10172+719

c117

name 名前Serge Batalov
date 日付March 11, 2009 07:59:36 UTC 2009 年 3 月 11 日 (水) 16 時 59 分 36 秒 (日本時間)
composite number 合成数
185017485634662557026036477917707542591572592186181241629000071734848494044752502351603743264189773782489031583106977<117>
prime factors 素因数
1955938999159069482043304901345331<34>
94592666598604770978903820599325507097005874985563292774803682806961506334518555867<83>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1592344803
Step 1 took 7368ms
Step 2 took 7085ms
********** Factor found in step 2: 1955938999159069482043304901345331
Found probable prime factor of 34 digits: 1955938999159069482043304901345331
Probable prime cofactor 94592666598604770978903820599325507097005874985563292774803682806961506334518555867 has 83 digits
software ソフトウェア
GMP-ECM 6.2.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)

46×10173+719

c172

name 名前Ignacio Santos
date 日付March 14, 2009 10:40:29 UTC 2009 年 3 月 14 日 (土) 19 時 40 分 29 秒 (日本時間)
composite number 合成数
3476946334089191232048374905517762660619803476946334089191232048374905517762660619803476946334089191232048374905517762660619803476946334089191232048374905517762660619803477<172>
prime factors 素因数
126509766445013568298328610136223<33>
1180604026176186007639458182676328295836124161667627<52>
23279286946766512066852874314714772481738009363765283757882378099668313192812207895727137<89>
factorization results 素因数分解の結果
Number: 51119_173
N=3476946334089191232048374905517762660619803476946334089191232048374905517762660619803476946334089191232048374905517762660619803476946334089191232048374905517762660619803477
  ( 172 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=126509766445013568298328610136223 (pp33)
 r2=1180604026176186007639458182676328295836124161667627 (pp52)
 r3=23279286946766512066852874314714772481738009363765283757882378099668313192812207895727137 (pp89)
Version: Msieve-1.39
Total time: 99.49 hours.
Scaled time: 172.62 units (timescale=1.735).
Factorization parameters were as follows:
n: 3476946334089191232048374905517762660619803476946334089191232048374905517762660619803476946334089191232048374905517762660619803476946334089191232048374905517762660619803477
m: 50000000000000000000000000000000000
deg: 5
c5: 368
c0: 1775
skew: 1.37
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3000000, 8300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1409394 x 1409641
Total sieving time: 99.49 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,53,53,2.5,2.5,100000
total time: 99.49 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)

46×10174+719

c158

name 名前Wataru Sakai
date 日付November 14, 2010 07:51:37 UTC 2010 年 11 月 14 日 (日) 16 時 51 分 37 秒 (日本時間)
composite number 合成数
93186724583133776710314562503499795564508356290346588576811616890061419741842198115983880581120734439851276221888745178304369423490217496130102875757923012897<158>
prime factors 素因数
4296927987659850186700929072931835480188889642038147766781718379122212929<73>
21686824831775734689806659595287405096413315799427533051935971168770783255493286074593<86>
factorization results 素因数分解の結果
Number: 51119_174
N=93186724583133776710314562503499795564508356290346588576811616890061419741842198115983880581120734439851276221888745178304369423490217496130102875757923012897
  ( 158 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=4296927987659850186700929072931835480188889642038147766781718379122212929
 r2=21686824831775734689806659595287405096413315799427533051935971168770783255493286074593
Version: 
Total time: 152.56 hours.
Scaled time: 307.41 units (timescale=2.015).
Factorization parameters were as follows:
n: 93186724583133776710314562503499795564508356290346588576811616890061419741842198115983880581120734439851276221888745178304369423490217496130102875757923012897
m: 20000000000000000000000000000000000
deg: 5
c5: 14375
c0: 71
skew: 0.35
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2950000, 7850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1136702 x 1136950
Total sieving time: 152.56 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,175,5,0,0,0,0,0,0,0,0,5900000,5900000,28,28,52,52,2.5,2.5,100000
total time: 152.56 hours.
 --------- CPU info (if available) ----------
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
351e6464118Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)
346Ignacio SantosMay 12, 2010 20:35:13 UTC 2010 年 5 月 13 日 (木) 5 時 35 分 13 秒 (日本時間)
403e62100130Ignacio SantosMay 12, 2010 20:35:13 UTC 2010 年 5 月 13 日 (木) 5 時 35 分 13 秒 (日本時間)
1970Wataru SakaiMay 24, 2010 13:30:26 UTC 2010 年 5 月 24 日 (月) 22 時 30 分 26 秒 (日本時間)
4511e636 / 3995Ignacio SantosMay 12, 2010 20:35:13 UTC 2010 年 5 月 13 日 (木) 5 時 35 分 13 秒 (日本時間)

46×10177+719

c154

name 名前Robert Backstrom
date 日付January 18, 2012 06:41:17 UTC 2012 年 1 月 18 日 (水) 15 時 41 分 17 秒 (日本時間)
composite number 合成数
4400041084635726697580279396145654849077938533353620362936159078072060943783569772055454091190471959715903516073115619572181975036011059946337544172717237<154>
prime factors 素因数
2266499782854692648258837464915736605427064015536979314661157<61>
1941337527548228894996566917823139493616268466983368734724020363472724463054259444206245071441<94>
factorization results 素因数分解の結果
Number: n
N=4400041084635726697580279396145654849077938533353620362936159078072060943783569772055454091190471959715903516073115619572181975036011059946337544172717237
  ( 154 digits)
SNFS difficulty: 178 digits.
Divisors found:

Wed Jan 18 17:37:38 2012  prp61 factor: 2266499782854692648258837464915736605427064015536979314661157
Wed Jan 18 17:37:38 2012  prp94 factor: 1941337527548228894996566917823139493616268466983368734724020363472724463054259444206245071441
Wed Jan 18 17:37:38 2012  elapsed time 02:41:22 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.650).
Factorization parameters were as follows:
name: KA_51119_177
n: 4400041084635726697580279396145654849077938533353620362936159078072060943783569772055454091190471959715903516073115619572181975036011059946337544172717237
m: 100000000000000000000000000000000000
deg: 5
c5: 4600
c0: 71
skew: 0.43
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 8045434 hash collisions in 76000099 relations
Msieve: matrix is 1217807 x 1218055 (339.6 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,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
351e6418118Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 7, 2011 23:07:19 UTC 2011 年 6 月 8 日 (水) 8 時 7 分 19 秒 (日本時間)
403e6110 / 2126Ignacio SantosJune 7, 2011 23:07:19 UTC 2011 年 6 月 8 日 (水) 8 時 7 分 19 秒 (日本時間)
4511e632 / 4437Ignacio SantosJune 7, 2011 23:07:19 UTC 2011 年 6 月 8 日 (水) 8 時 7 分 19 秒 (日本時間)

46×10178+719

c179

name 名前Jo Yeong Uk
date 日付March 29, 2009 08:52:20 UTC 2009 年 3 月 29 日 (日) 17 時 52 分 20 秒 (日本時間)
composite number 合成数
51111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119<179>
prime factors 素因数
301987358663348695516213202159<30>
169249174327489206034164467968894139877111470560964098347821869949162177687945915103723675787020585299769888419146145185091773482803832289761745201441<150>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 51111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119 (179 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2958435836
Step 1 took 6314ms
Step 2 took 3302ms
********** Factor found in step 2: 301987358663348695516213202159
Found probable prime factor of 30 digits: 301987358663348695516213202159
Probable prime cofactor 169249174327489206034164467968894139877111470560964098347821869949162177687945915103723675787020585299769888419146145185091773482803832289761745201441 has 150 digits
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)

46×10179+719

c151

name 名前Ben Meekins
date 日付December 13, 2013 02:23:37 UTC 2013 年 12 月 13 日 (金) 11 時 23 分 37 秒 (日本時間)
composite number 合成数
1261838676351510444159346967917837575701419283046417911422246997428422169693109876288611394932566530857471522775761463269184830832689903780726371838471<151>
prime factors 素因数
138116364625017164097108602581191679854015309251549631822227891<63>
9136054802610640549412921849822711841197693503797057153899414648626247032423943515532381<88>
factorization results 素因数分解の結果
Number: 51119_179
N = 1261838676351510444159346967917837575701419283046417911422246997428422169693109876288611394932566530857471522775761463269184830832689903780726371838471 (151 digits)
SNFS difficulty: 182 digits.
Divisors found:
r1=138116364625017164097108602581191679854015309251549631822227891 (pp63)
r2=9136054802610640549412921849822711841197693503797057153899414648626247032423943515532381 (pp88)
Version: Msieve v. 1.52 (SVN 945M)
Total time: 82.35 hours.
Factorization parameters were as follows:
n: 1261838676351510444159346967917837575701419283046417911422246997428422169693109876288611394932566530857471522775761463269184830832689903780726371838471
m: 1000000000000000000000000000000000000
deg: 5
c5: 23
c0: 355
skew: 1.73
# Murphy_E = 7.822e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19191818
Relations: 2772354 relations
Pruned matrix : 1631594 x 1631819
Polynomial selection time: 0.00 hours.
Total sieving time: 77.79 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 3.96 hours.
time per square root: 0.44 hours.
Prototype def-par.txt line would be: snfs,182,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,400000
total time: 82.35 hours.
x86 Family 16 Model 4 Stepping 3, AuthenticAMD
Windows-XP-5.1.2600-SP3
processors: 4, speed: 3.20GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 8, 2011 06:27:35 UTC 2011 年 6 月 8 日 (水) 15 時 27 分 35 秒 (日本時間)
403e6110Ignacio SantosJune 8, 2011 06:27:35 UTC 2011 年 6 月 8 日 (水) 15 時 27 分 35 秒 (日本時間)
4511e61482 / 443732Ignacio SantosJune 8, 2011 06:27:35 UTC 2011 年 6 月 8 日 (水) 15 時 27 分 35 秒 (日本時間)
600Rich DickersonJune 12, 2012 21:56:57 UTC 2012 年 6 月 13 日 (水) 6 時 56 分 57 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:05:29 UTC 2013 年 11 月 9 日 (土) 2 時 5 分 29 秒 (日本時間)

46×10181+719

c143

name 名前Ignacio Santos
date 日付June 8, 2011 06:26:30 UTC 2011 年 6 月 8 日 (水) 15 時 26 分 30 秒 (日本時間)
composite number 合成数
16922825301479663053644913785742302677736245293170254422145422570559637912896334203260033281226817569762509527797296140675026053029779728902849<143>
prime factors 素因数
399294800345173667436648534282263<33>
42381782299320171023732178894254098905399239328284274081276529548461897485909631949435851001819856609534331623<110>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1679645645
Step 1 took 20545ms
Step 2 took 11357ms
********** Factor found in step 2: 399294800345173667436648534282263
Found probable prime factor of 33 digits: 399294800345173667436648534282263
Probable prime cofactor 42381782299320171023732178894254098905399239328284274081276529548461897485909631949435851001819856609534331623 has 110 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 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)

46×10182+719

c106

name 名前Serge Batalov
date 日付March 11, 2009 07:56:22 UTC 2009 年 3 月 11 日 (水) 16 時 56 分 22 秒 (日本時間)
composite number 合成数
1152711693759732794797020856846100225412145841268368099985008497977318506429012851894590630051823105219597<106>
prime factors 素因数
120741530617798527131119236048256983443581<42>
9546936235292443702002424002293228582932021131309767346381629137<64>
factorization results 素因数分解の結果
Divisors found:
 r1=120741530617798527131119236048256983443581 (pp42)
 r2=9546936235292443702002424002293228582932021131309767346381629137 (pp64)
Version: Msieve-1.40b2
Total time: 4.09 hours.
Scaled time: 11.61 units (timescale=2.840).
Factorization parameters were as follows:
name: g106
n: 1152711693759732794797020856846100225412145841268368099985008497977318506429012851894590630051823105219597
skew: 16026.11
# norm 4.89e+14
c5: 39780
c4: 2017627500
c3: -35388693634601
c2: -489589232804229509
c1: 3381677356890778647529
c0: -84010979717976372460179
# alpha -5.92
Y1: 158309817083
Y0: -123710210749591011442
# Murphy_E 1.68e-09
# M 892813726663633194563281820820942635632008401814611827374918494568458312093080093548243109977242039588608
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: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 283578 x 283826
Total sieving time: 4.09 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,105,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 4.09 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Phenom(tm) II X4 940 Processor stepping 02
CPU1: AMD Phenom(tm) II X4 940 Processor stepping 02
CPU2: AMD Phenom(tm) II X4 940 Processor stepping 02
CPU3: AMD Phenom(tm) II X4 940 Processor stepping 02
Memory: 3529040k/4980736k available (2699k kernel code, 139436k reserved, 3164k data, 788k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6012.79 BogoMIPS (lpj=12025596)
Calibrating delay using timer specific routine.. 6012.90 BogoMIPS (lpj=12025808)
Calibrating delay using timer specific routine.. 6012.93 BogoMIPS (lpj=12025873)
Calibrating delay using timer specific routine.. 6012.86 BogoMIPS (lpj=12025737)
Total of 4 processors activated (24051.50 BogoMIPS).
software ソフトウェア
Msieve-1.40b2
execution environment 実行環境
AMD Phenom(tm) II X4 940/openSUSE

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)

46×10183+719

c147

name 名前Serge Batalov
date 日付March 20, 2011 01:55:12 UTC 2011 年 3 月 20 日 (日) 10 時 55 分 12 秒 (日本時間)
composite number 合成数
869388691471896123095780604345240800492985942455502819916883395086393032111527240114994654405737939156703908028124034695410925558138071987301669997<147>
prime factors 素因数
27931617933657183404104209845177419<35>
31125611611073045093352061544221746165242292601870300162515069612695641781711197647359305249203269041117179975463<113>
factorization results 素因数分解の結果
Using B1=100000000, B2=4537592002678, polynomial x^1, x0=4080825442 [P-1]
Step 1 took 35031ms
Step 2 took 14060ms
********** Factor found in step 2: 27931617933657183404104209845177419
Found probable prime factor of 35 digits: 27931617933657183404104209845177419
Probable prime cofactor 31125611611073045093352061544221746165242292601870300162515069612695641781711197647359305249203269041117179975463 has 113 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)

46×10184+719

c184

name 名前Dmitry Domanov
date 日付June 22, 2009 07:34:11 UTC 2009 年 6 月 22 日 (月) 16 時 34 分 11 秒 (日本時間)
composite number 合成数
1648745519713261648745519713261648745519713261648745519713261648745519713261648745519713261648745519713261648745519713261648745519713261648745519713261648745519713261648745519713261649<184>
prime factors 素因数
109950766165990238619142052692775317<36>
composite cofactor 合成数の残り
14995307238006754970142095290739002827809014572111810162500899017717459167125063659570942091364689704175545066490272917015118441624190530505317102797<149>
factorization results 素因数分解の結果
C184=P36*C149
C184=109950766165990238619142052692775317<36>*14995307238006754970142095290739002827809014572111810162500899017717459167125063659570942091364689704175545066490272917015118441624190530505317102797<149>
software ソフトウェア
ECMNET

c149

name 名前Jo Yeong Uk
date 日付August 23, 2014 10:34:11 UTC 2014 年 8 月 23 日 (土) 19 時 34 分 11 秒 (日本時間)
composite number 合成数
14995307238006754970142095290739002827809014572111810162500899017717459167125063659570942091364689704175545066490272917015118441624190530505317102797<149>
prime factors 素因数
134771221574088133724659091482897123337416694856663190306844801524247<69>
111264905540411279641051128761549512672616741711975214520109941731668278384894651<81>
factorization results 素因数分解の結果
Number: 51119_184
N=14995307238006754970142095290739002827809014572111810162500899017717459167125063659570942091364689704175545066490272917015118441624190530505317102797
  ( 149 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=134771221574088133724659091482897123337416694856663190306844801524247
 r2=111264905540411279641051128761549512672616741711975214520109941731668278384894651
Version: 
Total time: 92.56 hours.
Scaled time: 486.38 units (timescale=5.255).
Factorization parameters were as follows:
n: 14995307238006754970142095290739002827809014572111810162500899017717459167125063659570942091364689704175545066490272917015118441624190530505317102797
m: 10000000000000000000000000000000000000
deg: 5
c5: 23
c0: 355
skew: 1.73
# Murphy_E = 4.904e-11
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4000000, 8200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 21045754
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1692035 x 1692283
Total sieving time: 86.44 hours.
Total relation processing time: 2.29 hours.
Matrix solve time: 3.73 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,54,54,2.5,2.5,100000
total time: 92.56 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61218118Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)
1100Dmitry DomanovJune 22, 2009 07:33:49 UTC 2009 年 6 月 22 日 (月) 16 時 33 分 49 秒 (日本時間)
403e61500Dmitry DomanovOctober 22, 2013 16:12:03 UTC 2013 年 10 月 23 日 (水) 1 時 12 分 3 秒 (日本時間)
4511e61000 / 4093Dmitry DomanovOctober 22, 2013 16:12:03 UTC 2013 年 10 月 23 日 (水) 1 時 12 分 3 秒 (日本時間)

46×10185+719

c172

name 名前Ben Meekins
date 日付February 19, 2014 04:50:36 UTC 2014 年 2 月 19 日 (水) 13 時 50 分 36 秒 (日本時間)
composite number 合成数
2976645364425794692628732664000615769622435021938282879237757114726524358819803956226449226995244573335950038143601685949012411215394254929263859064778725038137850066842359<172>
prime factors 素因数
5175977947287848546724772792246381482718974636856754634911793280147431764950957<79>
575088494336712116075747328360563142656819573844789145352154349414203983382322505160072446387<93>
factorization results 素因数分解の結果
Number: 51119_185
N = 2976645364425794692628732664000615769622435021938282879237757114726524358819803956226449226995244573335950038143601685949012411215394254929263859064778725038137850066842359 (172 digits)
SNFS difficulty: 187 digits.
Divisors found:
r1=5175977947287848546724772792246381482718974636856754634911793280147431764950957 (pp79)
r2=575088494336712116075747328360563142656819573844789145352154349414203983382322505160072446387 (pp93)
Version: Msieve v. 1.52 (SVN 956M)
Total time: 13.77 hours.
Factorization parameters were as follows:
n: 2976645364425794692628732664000615769622435021938282879237757114726524358819803956226449226995244573335950038143601685949012411215394254929263859064778725038137850066842359
m: 10000000000000000000000000000000000000
deg: 5
c5: 46
c0: 71
skew: 1.09
# Murphy_E = 5.565e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 21251689
Relations: 3047858 relations
Pruned matrix : 1817096 x 1817325
Polynomial selection time: 0.00 hours.
Total sieving time: 12.29 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.16 hours.
time per square root: 0.22 hours.
Prototype def-par.txt line would be: snfs,187,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,200000
total time: 13.77 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
351e6418118Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 8, 2011 06:28:05 UTC 2011 年 6 月 8 日 (水) 15 時 28 分 5 秒 (日本時間)
403e61610110Ignacio SantosJune 8, 2011 06:28:05 UTC 2011 年 6 月 8 日 (水) 15 時 28 分 5 秒 (日本時間)
1500Dmitry DomanovOctober 22, 2013 16:12:41 UTC 2013 年 10 月 23 日 (水) 1 時 12 分 41 秒 (日本時間)
4511e61032 / 410532Ignacio SantosJune 8, 2011 06:28:05 UTC 2011 年 6 月 8 日 (水) 15 時 28 分 5 秒 (日本時間)
1000Dmitry DomanovNovember 1, 2013 09:23:00 UTC 2013 年 11 月 1 日 (金) 18 時 23 分 0 秒 (日本時間)

46×10186+719

c149

name 名前LegionMammal978
date 日付February 24, 2017 11:27:33 UTC 2017 年 2 月 24 日 (金) 20 時 27 分 33 秒 (日本時間)
composite number 合成数
69322146215248413337143907985444690522896799305798213782830777257552393668052199535955840672493800018480343557542576525848372690633841591867542041477<149>
prime factors 素因数
9930266960549564573225561180214708476124596178275437220263<58>
6980894520826856100862875331839965161142840922990717059927619714021101439066807341805108979<91>
factorization results 素因数分解の結果
Thu Feb 23 23:09:42 2017  Msieve v. 1.53 (SVN Unversioned directory)
Thu Feb 23 23:09:42 2017  random seeds: 8746aa4f bfd7a513
Thu Feb 23 23:09:42 2017  factoring 69322146215248413337143907985444690522896799305798213782830777257552393668052199535955840672493800018480343557542576525848372690633841591867542041477 (149 digits)
Thu Feb 23 23:09:43 2017  no P-1/P+1/ECM available, skipping
Thu Feb 23 23:09:43 2017  commencing number field sieve (149-digit input)
Thu Feb 23 23:09:43 2017  R0: -10000000000000000000000000000000000000
Thu Feb 23 23:09:43 2017  R1: 1
Thu Feb 23 23:09:43 2017  A0: 71
Thu Feb 23 23:09:43 2017  A1: 0
Thu Feb 23 23:09:43 2017  A2: 0
Thu Feb 23 23:09:43 2017  A3: 0
Thu Feb 23 23:09:43 2017  A4: 0
Thu Feb 23 23:09:43 2017  A5: 460
Thu Feb 23 23:09:43 2017  skew 0.69, size 2.236e-13, alpha 1.174, combined = 3.427e-11 rroots = 1
Thu Feb 23 23:09:43 2017  
Thu Feb 23 23:09:43 2017  commencing relation filtering
Thu Feb 23 23:09:43 2017  estimated available RAM is 15929.4 MB
Thu Feb 23 23:09:43 2017  commencing duplicate removal, pass 1
Thu Feb 23 23:12:27 2017  found 3628643 hash collisions in 22721034 relations
Thu Feb 23 23:12:46 2017  added 264 free relations
Thu Feb 23 23:12:46 2017  commencing duplicate removal, pass 2
Thu Feb 23 23:12:52 2017  found 3370697 duplicates and 19350601 unique relations
Thu Feb 23 23:12:52 2017  memory use: 106.6 MB
Thu Feb 23 23:12:52 2017  reading ideals above 720000
Thu Feb 23 23:12:52 2017  commencing singleton removal, initial pass
Thu Feb 23 23:14:50 2017  memory use: 689.0 MB
Thu Feb 23 23:14:50 2017  reading all ideals from disk
Thu Feb 23 23:14:50 2017  memory use: 619.1 MB
Thu Feb 23 23:14:51 2017  keeping 21483802 ideals with weight <= 200, target excess is 115735
Thu Feb 23 23:14:52 2017  commencing in-memory singleton removal
Thu Feb 23 23:14:52 2017  begin with 19350601 relations and 21483802 unique ideals
Thu Feb 23 23:15:00 2017  reduce to 7941719 relations and 7760509 ideals in 18 passes
Thu Feb 23 23:15:00 2017  max relations containing the same ideal: 110
Thu Feb 23 23:15:02 2017  removing 349358 relations and 325879 ideals in 23479 cliques
Thu Feb 23 23:15:02 2017  commencing in-memory singleton removal
Thu Feb 23 23:15:02 2017  begin with 7592361 relations and 7760509 unique ideals
Thu Feb 23 23:15:06 2017  reduce to 7579190 relations and 7421390 ideals in 9 passes
Thu Feb 23 23:15:06 2017  max relations containing the same ideal: 107
Thu Feb 23 23:15:08 2017  removing 251386 relations and 227907 ideals in 23479 cliques
Thu Feb 23 23:15:08 2017  commencing in-memory singleton removal
Thu Feb 23 23:15:08 2017  begin with 7327804 relations and 7421390 unique ideals
Thu Feb 23 23:15:11 2017  reduce to 7320485 relations and 7186131 ideals in 8 passes
Thu Feb 23 23:15:11 2017  max relations containing the same ideal: 104
Thu Feb 23 23:15:14 2017  relations with 0 large ideals: 2808
Thu Feb 23 23:15:14 2017  relations with 1 large ideals: 810
Thu Feb 23 23:15:14 2017  relations with 2 large ideals: 15670
Thu Feb 23 23:15:14 2017  relations with 3 large ideals: 124845
Thu Feb 23 23:15:14 2017  relations with 4 large ideals: 542789
Thu Feb 23 23:15:14 2017  relations with 5 large ideals: 1367701
Thu Feb 23 23:15:14 2017  relations with 6 large ideals: 2140593
Thu Feb 23 23:15:14 2017  relations with 7+ large ideals: 3125269
Thu Feb 23 23:15:14 2017  commencing 2-way merge
Thu Feb 23 23:15:17 2017  reduce to 4292929 relation sets and 4158576 unique ideals
Thu Feb 23 23:15:17 2017  ignored 1 oversize relation sets
Thu Feb 23 23:15:17 2017  commencing full merge
Thu Feb 23 23:16:01 2017  memory use: 503.4 MB
Thu Feb 23 23:16:02 2017  found 2203468 cycles, need 2190776
Thu Feb 23 23:16:02 2017  weight of 2190776 cycles is about 153675044 (70.15/cycle)
Thu Feb 23 23:16:02 2017  distribution of cycle lengths:
Thu Feb 23 23:16:02 2017  1 relations: 327499
Thu Feb 23 23:16:02 2017  2 relations: 289288
Thu Feb 23 23:16:02 2017  3 relations: 265874
Thu Feb 23 23:16:02 2017  4 relations: 226026
Thu Feb 23 23:16:02 2017  5 relations: 195209
Thu Feb 23 23:16:02 2017  6 relations: 159042
Thu Feb 23 23:16:02 2017  7 relations: 134589
Thu Feb 23 23:16:02 2017  8 relations: 110566
Thu Feb 23 23:16:02 2017  9 relations: 89895
Thu Feb 23 23:16:02 2017  10+ relations: 392788
Thu Feb 23 23:16:02 2017  heaviest cycle: 27 relations
Thu Feb 23 23:16:02 2017  commencing cycle optimization
Thu Feb 23 23:16:05 2017  start with 12589932 relations
Thu Feb 23 23:16:16 2017  pruned 270120 relations
Thu Feb 23 23:16:16 2017  memory use: 422.5 MB
Thu Feb 23 23:16:16 2017  distribution of cycle lengths:
Thu Feb 23 23:16:16 2017  1 relations: 327499
Thu Feb 23 23:16:16 2017  2 relations: 295246
Thu Feb 23 23:16:16 2017  3 relations: 274376
Thu Feb 23 23:16:16 2017  4 relations: 230062
Thu Feb 23 23:16:16 2017  5 relations: 198014
Thu Feb 23 23:16:16 2017  6 relations: 160032
Thu Feb 23 23:16:16 2017  7 relations: 134965
Thu Feb 23 23:16:16 2017  8 relations: 109121
Thu Feb 23 23:16:16 2017  9 relations: 88282
Thu Feb 23 23:16:16 2017  10+ relations: 373179
Thu Feb 23 23:16:16 2017  heaviest cycle: 27 relations
Thu Feb 23 23:16:18 2017  RelProcTime: 395
Thu Feb 23 23:16:19 2017  elapsed time 00:06:37
Thu Feb 23 23:16:19 2017 LatSieveTime: 1106.43
Thu Feb 23 23:16:19 2017 -> Running matrix solving step ...
Thu Feb 23 23:16:19 2017 -> ./msieve -s 51119_186/51119_186.dat -l 51119_186/51119_186.log -i 51119_186/51119_186.ini -nf 51119_186/51119_186.fb -t 6 -nc2
Thu Feb 23 23:16:19 2017  
Thu Feb 23 23:16:19 2017  
Thu Feb 23 23:16:19 2017  Msieve v. 1.53 (SVN Unversioned directory)
Thu Feb 23 23:16:19 2017  random seeds: aeff1ddb 7c783650
Thu Feb 23 23:16:19 2017  factoring 69322146215248413337143907985444690522896799305798213782830777257552393668052199535955840672493800018480343557542576525848372690633841591867542041477 (149 digits)
Thu Feb 23 23:16:19 2017  no P-1/P+1/ECM available, skipping
Thu Feb 23 23:16:19 2017  commencing number field sieve (149-digit input)
Thu Feb 23 23:16:19 2017  R0: -10000000000000000000000000000000000000
Thu Feb 23 23:16:19 2017  R1: 1
Thu Feb 23 23:16:19 2017  A0: 71
Thu Feb 23 23:16:19 2017  A1: 0
Thu Feb 23 23:16:19 2017  A2: 0
Thu Feb 23 23:16:19 2017  A3: 0
Thu Feb 23 23:16:19 2017  A4: 0
Thu Feb 23 23:16:19 2017  A5: 460
Thu Feb 23 23:16:19 2017  skew 0.69, size 2.236e-13, alpha 1.174, combined = 3.427e-11 rroots = 1
Thu Feb 23 23:16:19 2017  
Thu Feb 23 23:16:19 2017  commencing linear algebra
Thu Feb 23 23:16:19 2017  read 2190776 cycles
Thu Feb 23 23:16:22 2017  cycles contain 7155451 unique relations
Thu Feb 23 23:16:56 2017  read 7155451 relations
Thu Feb 23 23:17:00 2017  using 20 quadratic characters above 4294917295
Thu Feb 23 23:17:28 2017  building initial matrix
Thu Feb 23 23:18:09 2017  memory use: 870.3 MB
Thu Feb 23 23:18:10 2017  read 2190776 cycles
Thu Feb 23 23:18:10 2017  matrix is 2190599 x 2190776 (658.3 MB) with weight 193148575 (88.16/col)
Thu Feb 23 23:18:10 2017  sparse part has weight 148481573 (67.78/col)
Thu Feb 23 23:18:21 2017  filtering completed in 2 passes
Thu Feb 23 23:18:21 2017  matrix is 2188054 x 2188231 (658.1 MB) with weight 193061792 (88.23/col)
Thu Feb 23 23:18:21 2017  sparse part has weight 148450851 (67.84/col)
Thu Feb 23 23:18:26 2017  matrix starts at (0, 0)
Thu Feb 23 23:18:26 2017  matrix is 2188054 x 2188231 (658.1 MB) with weight 193061792 (88.23/col)
Thu Feb 23 23:18:26 2017  sparse part has weight 148450851 (67.84/col)
Thu Feb 23 23:18:26 2017  saving the first 48 matrix rows for later
Thu Feb 23 23:18:26 2017  matrix includes 64 packed rows
Thu Feb 23 23:18:26 2017  matrix is 2188006 x 2188231 (624.0 MB) with weight 153907504 (70.33/col)
Thu Feb 23 23:18:26 2017  sparse part has weight 141703463 (64.76/col)
Thu Feb 23 23:18:26 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Thu Feb 23 23:18:31 2017  commencing Lanczos iteration (6 threads)
Thu Feb 23 23:18:31 2017  memory use: 502.7 MB
Thu Feb 23 23:18:37 2017  linear algebra at 0.1%, ETA 1h59m
Thu Feb 23 23:18:38 2017  checkpointing every 1220000 dimensions
Fri Feb 24 01:15:57 2017  lanczos halted after 34608 iterations (dim = 2188006)
Fri Feb 24 01:15:58 2017  recovered 39 nontrivial dependencies
Fri Feb 24 01:15:58 2017  BLanczosTime: 7179
Fri Feb 24 01:15:58 2017  elapsed time 01:59:39
Fri Feb 24 01:15:58 2017 -> Running square root step ...
Fri Feb 24 01:15:58 2017 -> ./msieve -s 51119_186/51119_186.dat -l 51119_186/51119_186.log -i 51119_186/51119_186.ini -nf 51119_186/51119_186.fb -t 6 -nc3
Fri Feb 24 01:15:58 2017  
Fri Feb 24 01:15:58 2017  
Fri Feb 24 01:15:58 2017  Msieve v. 1.53 (SVN Unversioned directory)
Fri Feb 24 01:15:58 2017  random seeds: 976fa36c 1dedbec4
Fri Feb 24 01:15:58 2017  factoring 69322146215248413337143907985444690522896799305798213782830777257552393668052199535955840672493800018480343557542576525848372690633841591867542041477 (149 digits)
Fri Feb 24 01:15:59 2017  no P-1/P+1/ECM available, skipping
Fri Feb 24 01:15:59 2017  commencing number field sieve (149-digit input)
Fri Feb 24 01:15:59 2017  R0: -10000000000000000000000000000000000000
Fri Feb 24 01:15:59 2017  R1: 1
Fri Feb 24 01:15:59 2017  A0: 71
Fri Feb 24 01:15:59 2017  A1: 0
Fri Feb 24 01:15:59 2017  A2: 0
Fri Feb 24 01:15:59 2017  A3: 0
Fri Feb 24 01:15:59 2017  A4: 0
Fri Feb 24 01:15:59 2017  A5: 460
Fri Feb 24 01:15:59 2017  skew 0.69, size 2.236e-13, alpha 1.174, combined = 3.427e-11 rroots = 1
Fri Feb 24 01:15:59 2017  
Fri Feb 24 01:15:59 2017  commencing square root phase
Fri Feb 24 01:15:59 2017  reading relations for dependency 1
Fri Feb 24 01:15:59 2017  read 1093741 cycles
Fri Feb 24 01:16:00 2017  cycles contain 3576324 unique relations
Fri Feb 24 01:16:18 2017  read 3576324 relations
Fri Feb 24 01:16:28 2017  multiplying 3576324 relations
Fri Feb 24 01:18:11 2017  multiply complete, coefficients have about 111.54 million bits
Fri Feb 24 01:18:11 2017  initial square root is modulo 101348491
Fri Feb 24 01:20:22 2017  Newton iteration failed to converge
Fri Feb 24 01:20:22 2017  algebraic square root failed
Fri Feb 24 01:20:22 2017  reading relations for dependency 2
Fri Feb 24 01:20:23 2017  read 1094028 cycles
Fri Feb 24 01:20:24 2017  cycles contain 3579654 unique relations
Fri Feb 24 01:20:42 2017  read 3579654 relations
Fri Feb 24 01:20:52 2017  multiplying 3579654 relations
Fri Feb 24 01:22:35 2017  multiply complete, coefficients have about 111.64 million bits
Fri Feb 24 01:22:35 2017  initial square root is modulo 103071961
Fri Feb 24 01:24:46 2017  sqrtTime: 527
Fri Feb 24 01:24:46 2017  p58 factor: 9930266960549564573225561180214708476124596178275437220263
Fri Feb 24 01:24:46 2017  p91 factor: 6980894520826856100862875331839965161142840922990717059927619714021101439066807341805108979
Fri Feb 24 01:24:46 2017  elapsed time 00:08:48
software ソフトウェア
Msieve 1.53 snfs
execution environment 実行環境
64-bit Ubuntu 16.04.1 LTS, Core i7-2600K 3.4GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 8, 2011 06:28:34 UTC 2011 年 6 月 8 日 (水) 15 時 28 分 34 秒 (日本時間)
403e61610110Ignacio SantosJune 8, 2011 06:28:34 UTC 2011 年 6 月 8 日 (水) 15 時 28 分 34 秒 (日本時間)
1500Dmitry DomanovOctober 22, 2013 16:12:24 UTC 2013 年 10 月 23 日 (水) 1 時 12 分 24 秒 (日本時間)
4511e61032 / 410532Ignacio SantosJune 8, 2011 06:28:34 UTC 2011 年 6 月 8 日 (水) 15 時 28 分 34 秒 (日本時間)
1000Dmitry DomanovOctober 22, 2013 16:12:24 UTC 2013 年 10 月 23 日 (水) 1 時 12 分 24 秒 (日本時間)

46×10187+719

c160

name 名前Ignacio Santos
date 日付June 8, 2011 06:24:20 UTC 2011 年 6 月 8 日 (水) 15 時 24 分 20 秒 (日本時間)
composite number 合成数
8991314602840356359390060429929954864970537435852006208093558015394156412136185978892675311721998155140690863692373391753275129465716596448754903238887335197929<160>
prime factors 素因数
160819926264177365027149537796309<33>
55909207345801224171809033642078842590590079883454249599782460837423396001686262912506337911121958580799761932050851274780874181<128>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=565695631
Step 1 took 8268ms
Step 2 took 6037ms
********** Factor found in step 2: 160819926264177365027149537796309
Found probable prime factor of 33 digits: 160819926264177365027149537796309
Probable prime cofactor 55909207345801224171809033642078842590590079883454249599782460837423396001686262912506337911121958580799761932050851274780874181 has 128 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 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)

46×10188+719

c154

name 名前Serge Batalov
date 日付March 11, 2009 08:46:28 UTC 2009 年 3 月 11 日 (水) 17 時 46 分 28 秒 (日本時間)
composite number 合成数
2753198637088100873264208084588050267956957788138378179911720354434876011032808070041292847037545508969049172612988708051013540863373944965322729117794553<154>
prime factors 素因数
13826404143888325933007602257630223<35>
199126150836918433734212739176738106376290382162007550285895120053233146782672635111439257595447412165879529697928622711<120>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3930800050
Step 1 took 8356ms
Step 2 took 8449ms
********** Factor found in step 2: 13826404143888325933007602257630223
Found probable prime factor of 35 digits: 13826404143888325933007602257630223
Probable prime cofactor 199126150836918433734212739176738106376290382162007550285895120053233146782672635111439257595447412165879529697928622711 has 120 digits
software ソフトウェア
GMP-ECM 6.2.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)

46×10190+719

c140

composite cofactor 合成数の残り
16652787443441504958986507333361136890980135114250113080147418993247113519908615484804516822885586173776546916124662768243988264357905794663<140>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 8, 2011 06:29:05 UTC 2011 年 6 月 8 日 (水) 15 時 29 分 5 秒 (日本時間)
403e63032110Ignacio SantosJune 8, 2011 06:29:05 UTC 2011 年 6 月 8 日 (水) 15 時 29 分 5 秒 (日本時間)
14225February 7, 2012 11:04:06 UTC 2012 年 2 月 7 日 (火) 20 時 4 分 6 秒 (日本時間)
1500Dmitry DomanovOctober 22, 2013 16:12:57 UTC 2013 年 10 月 23 日 (水) 1 時 12 分 57 秒 (日本時間)
4511e61032 / 379132Ignacio SantosJune 8, 2011 06:29:05 UTC 2011 年 6 月 8 日 (水) 15 時 29 分 5 秒 (日本時間)
1000Dmitry DomanovOctober 22, 2013 16:12:57 UTC 2013 年 10 月 23 日 (水) 1 時 12 分 57 秒 (日本時間)

46×10191+719

c172

name 名前Dmitry Domanov
date 日付October 21, 2013 10:06:27 UTC 2013 年 10 月 21 日 (月) 19 時 6 分 27 秒 (日本時間)
composite number 合成数
3313188553517931113982771738703005292974714239650368052288631457855606311666231639218056200823317870313883676543953682087478035600103036969979589097914742244904595634166753<172>
prime factors 素因数
634012479440061732361103859985566272578439<42>
composite cofactor 合成数の残り
5225746591682275099141914049472922839055020658980813073008532818803324489720206597481895316629578535932237239550167759713335095127<130>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2031315716
Step 1 took 19437ms
Step 2 took 8203ms
********** Factor found in step 2: 634012479440061732361103859985566272578439
Found probable prime factor of 42 digits: 634012479440061732361103859985566272578439

c130

name 名前Cyp
date 日付January 24, 2014 17:58:51 UTC 2014 年 1 月 25 日 (土) 2 時 58 分 51 秒 (日本時間)
composite number 合成数
5225746591682275099141914049472922839055020658980813073008532818803324489720206597481895316629578535932237239550167759713335095127<130>
prime factors 素因数
222508019785177125876782715429174719770621628276826100511<57>
23485655019210233460506368487320703372961526996151843038694728405181306057<74>
factorization results 素因数分解の結果
01/23/14 20:15:44 v1.34.3, 
01/23/14 20:15:44 v1.34.3, ****************************
01/23/14 20:15:44 v1.34.3, Starting factorization of 5225746591682275099141914049472922839055020658980813073008532818803324489720206597481895316629578535932237239550167759713335095127
01/23/14 20:15:44 v1.34.3, using pretesting plan: none
01/23/14 20:15:44 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/23/14 20:15:44 v1.34.3, ****************************
01/23/14 20:15:44 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C130
01/23/14 20:15:44 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C130
01/23/14 20:15:44 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C130
01/23/14 20:15:44 v1.34.3, final ECM pretested depth: 0.00
01/23/14 20:15:44 v1.34.3, scheduler: switching to sieve method
01/23/14 20:15:44 v1.34.3, nfs: commencing nfs on c130: 5225746591682275099141914049472922839055020658980813073008532818803324489720206597481895316629578535932237239550167759713335095127
01/23/14 20:15:44 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/23/14 20:15:44 v1.34.3, nfs: commencing lattice sieving with 6 threads
01/23/14 20:31:32 v1.34.3, nfs: commencing lattice sieving with 6 threads
[72 lines snipped]
01/24/14 17:35:48 v1.34.3, nfs: commencing lattice sieving with 6 threads
01/24/14 17:53:34 v1.34.3, nfs: commencing lattice sieving with 6 threads
01/24/14 18:11:01 v1.34.3, nfs: commencing msieve filtering
01/24/14 18:16:00 v1.34.3, nfs: commencing msieve linear algebra
01/24/14 18:54:17 v1.34.3, nfs: commencing msieve sqrt
01/24/14 18:58:49 v1.34.3, prp57 = 222508019785177125876782715429174719770621628276826100511
01/24/14 18:58:49 v1.34.3, prp74 = 23485655019210233460506368487320703372961526996151843038694728405181306057
01/24/14 18:58:50 v1.34.3, NFS elapsed time = 81785.5102 seconds.
01/24/14 18:58:50 v1.34.3, 
01/24/14 18:58:50 v1.34.3, 
01/24/14 18:58:50 v1.34.3, Total factoring time = 81785.5375 seconds
--
Fri Jan 24 18:11:01 2014  
Fri Jan 24 18:11:01 2014  commencing relation filtering
Fri Jan 24 18:11:01 2014  estimated available RAM is 15988.7 MB
Fri Jan 24 18:11:01 2014  commencing duplicate removal, pass 1
Fri Jan 24 18:12:17 2014  found 3203638 hash collisions in 21128746 relations
Fri Jan 24 18:12:41 2014  added 118488 free relations
Fri Jan 24 18:12:41 2014  commencing duplicate removal, pass 2
Fri Jan 24 18:13:05 2014  found 2353418 duplicates and 18893816 unique relations
Fri Jan 24 18:13:05 2014  memory use: 82.6 MB
Fri Jan 24 18:13:05 2014  reading ideals above 720000
Fri Jan 24 18:13:05 2014  commencing singleton removal, initial pass
Fri Jan 24 18:14:59 2014  memory use: 376.5 MB
Fri Jan 24 18:14:59 2014  reading all ideals from disk
Fri Jan 24 18:14:59 2014  memory use: 580.8 MB
Fri Jan 24 18:15:00 2014  keeping 18903468 ideals with weight <= 200, target excess is 120291
Fri Jan 24 18:15:02 2014  commencing in-memory singleton removal
Fri Jan 24 18:15:03 2014  begin with 18893816 relations and 18903468 unique ideals
Fri Jan 24 18:15:13 2014  reduce to 9075570 relations and 7686684 ideals in 15 passes
Fri Jan 24 18:15:13 2014  max relations containing the same ideal: 124
Fri Jan 24 18:15:16 2014  removing 1793692 relations and 1393692 ideals in 400000 cliques
Fri Jan 24 18:15:17 2014  commencing in-memory singleton removal
Fri Jan 24 18:15:17 2014  begin with 7281878 relations and 7686684 unique ideals
Fri Jan 24 18:15:21 2014  reduce to 7012529 relations and 6009298 ideals in 10 passes
Fri Jan 24 18:15:21 2014  max relations containing the same ideal: 102
Fri Jan 24 18:15:23 2014  removing 1440379 relations and 1040379 ideals in 400000 cliques
Fri Jan 24 18:15:23 2014  commencing in-memory singleton removal
Fri Jan 24 18:15:23 2014  begin with 5572150 relations and 6009298 unique ideals
Fri Jan 24 18:15:25 2014  reduce to 5355283 relations and 4739841 ideals in 8 passes
Fri Jan 24 18:15:25 2014  max relations containing the same ideal: 85
Fri Jan 24 18:15:27 2014  removing 1345147 relations and 945147 ideals in 400000 cliques
Fri Jan 24 18:15:27 2014  commencing in-memory singleton removal
Fri Jan 24 18:15:27 2014  begin with 4010136 relations and 4739841 unique ideals
Fri Jan 24 18:15:29 2014  reduce to 3774984 relations and 3542670 ideals in 9 passes
Fri Jan 24 18:15:29 2014  max relations containing the same ideal: 67
Fri Jan 24 18:15:30 2014  removing 429373 relations and 336597 ideals in 92776 cliques
Fri Jan 24 18:15:30 2014  commencing in-memory singleton removal
Fri Jan 24 18:15:30 2014  begin with 3345611 relations and 3542670 unique ideals
Fri Jan 24 18:15:31 2014  reduce to 3314074 relations and 3173847 ideals in 7 passes
Fri Jan 24 18:15:31 2014  max relations containing the same ideal: 63
Fri Jan 24 18:15:33 2014  relations with 0 large ideals: 482
Fri Jan 24 18:15:33 2014  relations with 1 large ideals: 1999
Fri Jan 24 18:15:33 2014  relations with 2 large ideals: 29585
Fri Jan 24 18:15:33 2014  relations with 3 large ideals: 174343
Fri Jan 24 18:15:33 2014  relations with 4 large ideals: 525009
Fri Jan 24 18:15:33 2014  relations with 5 large ideals: 895699
Fri Jan 24 18:15:33 2014  relations with 6 large ideals: 908752
Fri Jan 24 18:15:33 2014  relations with 7+ large ideals: 778205
Fri Jan 24 18:15:33 2014  commencing 2-way merge
Fri Jan 24 18:15:34 2014  reduce to 2039954 relation sets and 1899727 unique ideals
Fri Jan 24 18:15:34 2014  commencing full merge
Fri Jan 24 18:15:52 2014  memory use: 237.2 MB
Fri Jan 24 18:15:52 2014  found 1079485 cycles, need 1059927
Fri Jan 24 18:15:53 2014  weight of 1059927 cycles is about 74218807 (70.02/cycle)
Fri Jan 24 18:15:53 2014  distribution of cycle lengths:
Fri Jan 24 18:15:53 2014  1 relations: 106755
Fri Jan 24 18:15:53 2014  2 relations: 115805
Fri Jan 24 18:15:53 2014  3 relations: 119186
Fri Jan 24 18:15:53 2014  4 relations: 116809
Fri Jan 24 18:15:53 2014  5 relations: 109869
Fri Jan 24 18:15:53 2014  6 relations: 101021
Fri Jan 24 18:15:53 2014  7 relations: 89565
Fri Jan 24 18:15:53 2014  8 relations: 76139
Fri Jan 24 18:15:53 2014  9 relations: 62383
Fri Jan 24 18:15:53 2014  10+ relations: 162395
Fri Jan 24 18:15:53 2014  heaviest cycle: 18 relations
Fri Jan 24 18:15:53 2014  commencing cycle optimization
Fri Jan 24 18:15:54 2014  start with 6022150 relations
Fri Jan 24 18:15:59 2014  pruned 163663 relations
Fri Jan 24 18:15:59 2014  memory use: 196.8 MB
Fri Jan 24 18:15:59 2014  distribution of cycle lengths:
Fri Jan 24 18:15:59 2014  1 relations: 106755
Fri Jan 24 18:15:59 2014  2 relations: 118367
Fri Jan 24 18:15:59 2014  3 relations: 123687
Fri Jan 24 18:15:59 2014  4 relations: 120082
Fri Jan 24 18:15:59 2014  5 relations: 113688
Fri Jan 24 18:15:59 2014  6 relations: 103372
Fri Jan 24 18:15:59 2014  7 relations: 91566
Fri Jan 24 18:15:59 2014  8 relations: 76514
Fri Jan 24 18:15:59 2014  9 relations: 61823
Fri Jan 24 18:15:59 2014  10+ relations: 144073
Fri Jan 24 18:15:59 2014  heaviest cycle: 18 relations
Fri Jan 24 18:16:00 2014  RelProcTime: 299
Fri Jan 24 18:16:00 2014  
Fri Jan 24 18:16:00 2014  commencing linear algebra
Fri Jan 24 18:16:00 2014  read 1059927 cycles
Fri Jan 24 18:16:02 2014  cycles contain 3223502 unique relations
Fri Jan 24 18:16:26 2014  read 3223502 relations
Fri Jan 24 18:16:28 2014  using 20 quadratic characters above 268432860
Fri Jan 24 18:16:39 2014  building initial matrix
Fri Jan 24 18:17:12 2014  memory use: 424.5 MB
Fri Jan 24 18:17:12 2014  read 1059927 cycles
Fri Jan 24 18:17:12 2014  matrix is 1059750 x 1059927 (316.0 MB) with weight 100964304 (95.26/col)
Fri Jan 24 18:17:12 2014  sparse part has weight 71182457 (67.16/col)
Fri Jan 24 18:17:18 2014  filtering completed in 2 passes
Fri Jan 24 18:17:18 2014  matrix is 1059422 x 1059599 (316.0 MB) with weight 100951791 (95.27/col)
Fri Jan 24 18:17:18 2014  sparse part has weight 71179131 (67.18/col)
Fri Jan 24 18:17:21 2014  matrix starts at (0, 0)
Fri Jan 24 18:17:21 2014  matrix is 1059422 x 1059599 (316.0 MB) with weight 100951791 (95.27/col)
Fri Jan 24 18:17:21 2014  sparse part has weight 71179131 (67.18/col)
Fri Jan 24 18:17:21 2014  saving the first 48 matrix rows for later
Fri Jan 24 18:17:21 2014  matrix includes 64 packed rows
Fri Jan 24 18:17:21 2014  matrix is 1059374 x 1059599 (305.7 MB) with weight 80079515 (75.58/col)
Fri Jan 24 18:17:21 2014  sparse part has weight 69552008 (65.64/col)
Fri Jan 24 18:17:21 2014  using block size 65536 for processor cache size 8192 kB
Fri Jan 24 18:17:24 2014  commencing Lanczos iteration (6 threads)
Fri Jan 24 18:17:24 2014  memory use: 278.8 MB
Fri Jan 24 18:17:27 2014  linear algebra at 0.1%, ETA 0h34m
Fri Jan 24 18:17:28 2014  checkpointing every 1830000 dimensions
Fri Jan 24 18:54:17 2014  lanczos halted after 16755 iterations (dim = 1059374)
Fri Jan 24 18:54:17 2014  recovered 31 nontrivial dependencies
Fri Jan 24 18:54:17 2014  BLanczosTime: 2297
Fri Jan 24 18:54:17 2014  
Fri Jan 24 18:54:17 2014  commencing square root phase
Fri Jan 24 18:54:17 2014  reading relations for dependency 1
Fri Jan 24 18:54:17 2014  read 529070 cycles
Fri Jan 24 18:54:18 2014  cycles contain 1611436 unique relations
Fri Jan 24 18:54:44 2014  read 1611436 relations
Fri Jan 24 18:54:50 2014  multiplying 1611436 relations
Fri Jan 24 18:56:41 2014  multiply complete, coefficients have about 71.99 million bits
Fri Jan 24 18:56:41 2014  initial square root is modulo 147083
Fri Jan 24 18:58:49 2014  sqrtTime: 272
--
# Murphy_E = 8.018e-11, selected by Erik Branger
n: 5225746591682275099141914049472922839055020658980813073008532818803324489720206597481895316629578535932237239550167759713335095127
Y0: -17075345028542424479005775
Y1: 32565778269101
c0: -84507997635401243466369240682248
c1: 1974045504712233057352090280
c2: 4768185334622105499616
c3: -12741805475514745
c4: -6929362626
c5: 3600
skew: 794475.28
type: gnfs
# selected mechanically
rlim: 9600000
alim: 9600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 8, 2011 06:30:47 UTC 2011 年 6 月 8 日 (水) 15 時 30 分 47 秒 (日本時間)
403e6110Ignacio SantosJune 8, 2011 06:30:47 UTC 2011 年 6 月 8 日 (水) 15 時 30 分 47 秒 (日本時間)
4511e62422 / 443732Ignacio SantosJune 8, 2011 06:30:47 UTC 2011 年 6 月 8 日 (水) 15 時 30 分 47 秒 (日本時間)
230Ignacio SantosOctober 21, 2013 21:13:23 UTC 2013 年 10 月 22 日 (火) 6 時 13 分 23 秒 (日本時間)
230Ignacio SantosOctober 22, 2013 13:10:31 UTC 2013 年 10 月 22 日 (火) 22 時 10 分 31 秒 (日本時間)
230Ignacio SantosOctober 22, 2013 15:59:02 UTC 2013 年 10 月 23 日 (水) 0 時 59 分 2 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:45:10 UTC 2013 年 11 月 8 日 (金) 10 時 45 分 10 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:08:20 UTC 2013 年 11 月 9 日 (土) 2 時 8 分 20 秒 (日本時間)

46×10192+719

c143

composite cofactor 合成数の残り
19104429380038808009435142420188108157255908003632317248641256786166055111180622303164898043844360421603821862329782739173303101886106123798391<143>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 8, 2011 06:58:06 UTC 2011 年 6 月 8 日 (水) 15 時 58 分 6 秒 (日本時間)
403e61610110Ignacio SantosJune 8, 2011 06:58:06 UTC 2011 年 6 月 8 日 (水) 15 時 58 分 6 秒 (日本時間)
1500Dmitry DomanovOctober 22, 2013 16:13:35 UTC 2013 年 10 月 23 日 (水) 1 時 13 分 35 秒 (日本時間)
4511e61032 / 410532Ignacio SantosJune 8, 2011 06:58:06 UTC 2011 年 6 月 8 日 (水) 15 時 58 分 6 秒 (日本時間)
1000Dmitry DomanovOctober 22, 2013 16:13:35 UTC 2013 年 10 月 23 日 (水) 1 時 13 分 35 秒 (日本時間)

46×10194+719

c148

name 名前Dmitry Domanov
date 日付June 7, 2011 14:56:30 UTC 2011 年 6 月 7 日 (火) 23 時 56 分 30 秒 (日本時間)
composite number 合成数
2664495432051203519975636573135617510642007910866781519257586864039244992441627338561016408440699426394264766330580256385929791589126553593910147169<148>
prime factors 素因数
2152057685182887798600975551143647323<37>
1238115246815406506202115754117063714445047434421919918315224461524095501579297084267511623151914502927478812403<112>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=527240730
Step 1 took 48531ms
Step 2 took 20747ms
********** Factor found in step 2: 2152057685182887798600975551143647323
Found probable prime factor of 37 digits: 2152057685182887798600975551143647323
Probable prime cofactor 1238115246815406506202115754117063714445047434421919918315224461524095501579297084267511623151914502927478812403 has 112 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)
403e61500 / 2318Dmitry DomanovJune 7, 2011 11:41:05 UTC 2011 年 6 月 7 日 (火) 20 時 41 分 5 秒 (日本時間)

46×10197+719

c180

name 名前Serge Batalov
date 日付March 20, 2011 01:42:20 UTC 2011 年 3 月 20 日 (日) 10 時 42 分 20 秒 (日本時間)
composite number 合成数
196022926592679130425465064093180051362140388729642221431025786566911020603254975955169880941052772196600237709771852416563334942796037525505888227526114731513188460344264792142053<180>
prime factors 素因数
23223741985091153717464024306852549<35>
composite cofactor 合成数の残り
8440626265935917215780268194479988576743282631027767589335759526472043423161893100699145554419515906472447623765908261873828796051306337696315297<145>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=947195329
Step 1 took 13893ms
Step 2 took 10189ms
********** Factor found in step 2: 23223741985091153717464024306852549
Found probable prime factor of 35 digits: 23223741985091153717464024306852549
Composite cofactor 8440626265935917215780268194479988576743282631027767589335759526472043423161893100699145554419515906472447623765908261873828796051306337696315297 has 145 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)
403e61800300Dmitry DomanovJune 7, 2011 11:40:31 UTC 2011 年 6 月 7 日 (火) 20 時 40 分 31 秒 (日本時間)
1500Dmitry DomanovOctober 22, 2013 16:14:28 UTC 2013 年 10 月 23 日 (水) 1 時 14 分 28 秒 (日本時間)
4511e61000 / 4077Dmitry DomanovOctober 22, 2013 16:14:28 UTC 2013 年 10 月 23 日 (水) 1 時 14 分 28 秒 (日本時間)

46×10201+719

c195

name 名前matsui
date 日付August 10, 2010 05:28:32 UTC 2010 年 8 月 10 日 (火) 14 時 28 分 32 秒 (日本時間)
composite number 合成数
284310475370637797335989831524596443994146096757418632211599332149748824365368183023607664696438336985703132532199567436445313593928977500305587406054625202060536461851192601786534095411492841807<195>
prime factors 素因数
1243247962512217918452331179583137376389554262214491385052239190827893781699693942788158559071<94>
228683644730158774913974473305081495920836484299375166133485584070870719288676280610883190936974745617<102>
factorization results 素因数分解の結果
N=284310475370637797335989831524596443994146096757418632211599332149748824365368183023607664696438336985703132532199567436445313593928977500305587406054625202060536461851192601786534095411492841807
  ( 195 digits)
SNFS difficulty: 202 digits.
Divisors found:
 r1=1243247962512217918452331179583137376389554262214491385052239190827893781699693942788158559071 (pp94)
 r2=228683644730158774913974473305081495920836484299375166133485584070870719288676280610883190936974745617 (pp102)
Version: Msieve v. 1.45
Total time:
Scaled time: 107.13 units (timescale=1.829).
Factorization parameters were as follows:
n: 284310475370637797335989831524596443994146096757418632211599332149748824365368183023607664696438336985703132532199567436445313593928977500305587406054625202060536461851192601786534095411492841807
m: 10000000000000000000000000000000000000000
deg: 5
c5: 460
c0: 71
skew: 0.69
type: snfs
lss: 1
rlim: 16700000
alim: 16700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 160000
Factor base limits: 16700000/16700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8350000, 22270001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3791397 x 3791625
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,202.000,5,0,0,0,0,0,0,0,0,16700000,16700000,29,29,56,56,2.6,2.6,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)
403e62318100Lionel DebrouxJune 21, 2010 12:51:25 UTC 2010 年 6 月 21 日 (月) 21 時 51 分 25 秒 (日本時間)
200Lionel DebrouxJune 21, 2010 13:54:28 UTC 2010 年 6 月 21 日 (月) 22 時 54 分 28 秒 (日本時間)
2018Wataru SakaiJuly 2, 2010 08:30:37 UTC 2010 年 7 月 2 日 (金) 17 時 30 分 37 秒 (日本時間)
4511e62000 / 3963Serge BatalovJuly 3, 2010 04:05:08 UTC 2010 年 7 月 3 日 (土) 13 時 5 分 8 秒 (日本時間)

46×10202+719

c182

composite cofactor 合成数の残り
46509274592620573207049278243367129994666839510894273271180304821663779028436524317446507420241047452634769558950566172223264294143159631385952979996019804352559743088736273354204113<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)
403e61800300Dmitry DomanovJune 7, 2011 09:10:46 UTC 2011 年 6 月 7 日 (火) 18 時 10 分 46 秒 (日本時間)
1500Dmitry DomanovOctober 23, 2013 11:46:56 UTC 2013 年 10 月 23 日 (水) 20 時 46 分 56 秒 (日本時間)
4511e61500 / 4077Dmitry DomanovDecember 31, 2013 06:57:22 UTC 2013 年 12 月 31 日 (火) 15 時 57 分 22 秒 (日本時間)

46×10203+719

c193

composite cofactor 合成数の残り
3065735087993446207498237548104332326239321604886327289151647170931892526843731631643284287159340934967494919449248269432602154953484143235262451379030996428247185915050425188837301210798161297<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)
403e60--
4511e62000 / 4475Serge BatalovJuly 3, 2010 04:03:44 UTC 2010 年 7 月 3 日 (土) 13 時 3 分 44 秒 (日本時間)

46×10204+719

c191

composite cofactor 合成数の残り
20113844251793978236884788152728733612983675160551126925949574542177332081945909965818721300257192581150148283501153627129095393503401109675418785217081501455625127078019957878418293072988607<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)
403e61800300Dmitry DomanovJune 7, 2011 09:09:55 UTC 2011 年 6 月 7 日 (火) 18 時 9 分 55 秒 (日本時間)
1500Dmitry DomanovOctober 23, 2013 11:47:20 UTC 2013 年 10 月 23 日 (水) 20 時 47 分 20 秒 (日本時間)
4511e61500 / 4077Dmitry DomanovDecember 31, 2013 06:57:35 UTC 2013 年 12 月 31 日 (火) 15 時 57 分 35 秒 (日本時間)

46×10205+719

c182

composite cofactor 合成数の残り
29031283796908989617560524382343878872237197742206398135720124399018641778244521577635527701141636699133604121254805379591326847567338707966765478729388978258545943034135323335259571<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 10, 2009 08:00:00 UTC 2009 年 3 月 10 日 (火) 17 時 0 分 0 秒 (日本時間)
403e61800300Dmitry DomanovJune 7, 2011 07:33:55 UTC 2011 年 6 月 7 日 (火) 16 時 33 分 55 秒 (日本時間)
1500Dmitry DomanovOctober 23, 2013 11:47:31 UTC 2013 年 10 月 23 日 (水) 20 時 47 分 31 秒 (日本時間)
4511e61500 / 4077Dmitry DomanovDecember 31, 2013 06:57:45 UTC 2013 年 12 月 31 日 (火) 15 時 57 分 45 秒 (日本時間)

46×10206+719

c174

name 名前Dmitry Domanov
date 日付October 18, 2013 10:51:55 UTC 2013 年 10 月 18 日 (金) 19 時 51 分 55 秒 (日本時間)
composite number 合成数
222165339777024320560779114959624632045357465392455770030113356742190783613825225011761003191193004739309429396692699292342387455407392312734860755167204389051024341082691753<174>
prime factors 素因数
929270394057064529274797401851016781<36>
composite cofactor 合成数の残り
239075021864283795289761338725380468251627412221104653115843287978395392162382717816059217882336937798012378816766485447934703527635505613<138>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1327355299
Step 1 took 20184ms
Step 2 took 8217ms
********** Factor found in step 2: 929270394057064529274797401851016781
Found probable prime factor of 36 digits: 929270394057064529274797401851016781

c138

name 名前Erik Branger
date 日付May 19, 2014 09:26:47 UTC 2014 年 5 月 19 日 (月) 18 時 26 分 47 秒 (日本時間)
composite number 合成数
239075021864283795289761338725380468251627412221104653115843287978395392162382717816059217882336937798012378816766485447934703527635505613<138>
prime factors 素因数
149482557200065507146717518807898517810684247086735938207098441<63>
1599350628878451019658249745686965378367388357935307399655882264465668046693<76>
factorization results 素因数分解の結果
Number: 51119_206
N = 239075021864283795289761338725380468251627412221104653115843287978395392162382717816059217882336937798012378816766485447934703527635505613 (138 digits)
Divisors found:
r1=149482557200065507146717518807898517810684247086735938207098441 (pp63)
r2=1599350628878451019658249745686965378367388357935307399655882264465668046693 (pp76)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 132.14 hours.
Factorization parameters were as follows:
# Murphy_E = 2.932e-11, selected by Erik Branger
# expecting poly E from 2.96e-011 to > 3.41e-011
n: 239075021864283795289761338725380468251627412221104653115843287978395392162382717816059217882336937798012378816766485447934703527635505613
Y0: -888398977405222291568477974
Y1: 406953115098437
c0: 338722537100148287066809793861206605
c1: 205413277519374938636305468136
c2: -581237645079973456596001
c3: 84716946656846312
c4: 22165863276
c5: 432
skew: 5005006.93
type: gnfs
# selected mechanically
rlim: 15500000
alim: 15500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 15500000/15500000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23186915
Relations: 3644556 relations
Pruned matrix : 2233739 x 2233968
Polynomial selection time: 0.00 hours.
Total sieving time: 128.30 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 3.62 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: gnfs,137,5,65,2000,1e-05,0.28,250,20,50000,3600,15500000,15500000,28,28,55,55,2.6,2.6,100000
total time: 132.14 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 18, 2013 16:01:32 UTC 2013 年 10 月 19 日 (土) 1 時 1 分 32 秒 (日本時間)
403e61610110Ignacio SantosOctober 18, 2013 16:01:32 UTC 2013 年 10 月 19 日 (土) 1 時 1 分 32 秒 (日本時間)
1500Dmitry DomanovOctober 23, 2013 11:47:56 UTC 2013 年 10 月 23 日 (水) 20 時 47 分 56 秒 (日本時間)
4511e63862 / 410532Ignacio SantosOctober 18, 2013 16:01:32 UTC 2013 年 10 月 19 日 (土) 1 時 1 分 32 秒 (日本時間)
1500Dmitry DomanovOctober 23, 2013 11:47:56 UTC 2013 年 10 月 23 日 (水) 20 時 47 分 56 秒 (日本時間)
230Ignacio SantosOctober 23, 2013 14:42:20 UTC 2013 年 10 月 23 日 (水) 23 時 42 分 20 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:45:49 UTC 2013 年 11 月 8 日 (金) 10 時 45 分 49 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:08:56 UTC 2013 年 11 月 9 日 (土) 2 時 8 分 56 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:13 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 13 秒 (日本時間)

46×10207+719

c120

name 名前Dmitry Domanov
date 日付October 2, 2013 20:57:38 UTC 2013 年 10 月 3 日 (木) 5 時 57 分 38 秒 (日本時間)
composite number 合成数
135828737221236362303301604067795060132047676621086745306990358202166912031774938252219846612624526917031772956944748017<120>
prime factors 素因数
2021744499617405297851405825035786310407560498892449981<55>
67183928160526998978877390185031526780643054779445700728190521157<65>
factorization results 素因数分解の結果
N=135828737221236362303301604067795060132047676621086745306990358202166912031774938252219846612624526917031772956944748017
  ( 120 digits)
Divisors found:
 r1=2021744499617405297851405825035786310407560498892449981 (pp55)
 r2=67183928160526998978877390185031526780643054779445700728190521157 (pp65)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 58.06 hours.
Scaled time: 65.55 units (timescale=1.129).
Factorization parameters were as follows:
n: 135828737221236362303301604067795060132047676621086745306990358202166912031774938252219846612624526917031772956944748017
skew: 61301.87
c0: 12539652219542853913483749645
c1: -166396461221047098210441
c2: -46181228951476909130
c3: 346695781721447
c4: 8496241551
c5: 37620
Y0: -81567009342954238548068
Y1: 146396706121
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 240000
type: gnfs
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2500000, 4420001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 598767 x 598997
Total sieving time: 56.96 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 0.64 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
gnfs,119,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5000000,5000000,27,27,54,54,2.5,2.5,100000
total time: 58.06 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 KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)

46×10213+719

c147

composite cofactor 合成数の残り
821761844976381858058459105433911334568995568254403626921441023281271849229061997419710941468571819062290979314947950081774800864887735577698454851<147>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 27, 2013 17:17:09 UTC 2013 年 9 月 28 日 (土) 2 時 17 分 9 秒 (日本時間)
403e61610110Ignacio SantosSeptember 27, 2013 17:17:09 UTC 2013 年 9 月 28 日 (土) 2 時 17 分 9 秒 (日本時間)
1500Dmitry DomanovOctober 23, 2013 11:48:39 UTC 2013 年 10 月 23 日 (水) 20 時 48 分 39 秒 (日本時間)
4511e6412432Ignacio SantosSeptember 27, 2013 17:17:09 UTC 2013 年 9 月 28 日 (土) 2 時 17 分 9 秒 (日本時間)
230Ignacio SantosOctober 6, 2013 19:35:14 UTC 2013 年 10 月 7 日 (月) 4 時 35 分 14 秒 (日本時間)
1500Dmitry DomanovOctober 23, 2013 11:48:39 UTC 2013 年 10 月 23 日 (水) 20 時 48 分 39 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:10:36 UTC 2013 年 11 月 9 日 (土) 2 時 10 分 36 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:43 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 43 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:01:46 UTC 2014 年 5 月 25 日 (日) 4 時 1 分 46 秒 (日本時間)
212Ignacio SantosDecember 22, 2015 09:47:31 UTC 2015 年 12 月 22 日 (火) 18 時 47 分 31 秒 (日本時間)

46×10217+719

c192

composite cofactor 合成数の残り
128493186081982162386510303380078145933971030125792062091195596427080220441636683293248078862408745774603187958895679010423493228597146659165174823090768176083507601919423200629242068001215577<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 23, 2013 11:49:01 UTC 2013 年 10 月 23 日 (水) 20 時 49 分 1 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 31, 2013 06:58:05 UTC 2013 年 12 月 31 日 (火) 15 時 58 分 5 秒 (日本時間)

46×10218+719

c214

name 名前Ignacio Santos
date 日付October 4, 2013 15:58:52 UTC 2013 年 10 月 5 日 (土) 0 時 58 分 52 秒 (日本時間)
composite number 合成数
1815289552495608775109696763772818880274156077806467245270480116462663637500882980516023679268327814458465583096655092222628689230715804187083741280197440362805348474426713801054525378734514297575680802642114480841<214>
prime factors 素因数
12392406308927409992491222980312886423<38>
composite cofactor 合成数の残り
146484024752148888855994911232141836692386859104172171492639190311054949455311737999080995728748515702872062088537025649392309510031434300691489250559442504789233900523513073567<177>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2934235396
Step 1 took 15172ms
Step 2 took 8687ms
********** Factor found in step 2: 12392406308927409992491222980312886423
Found probable prime factor of 38 digits: 12392406308927409992491222980312886423
Composite cofactor 146484024752148888855994911232141836692386859104172171492639190311054949455311737999080995728748515702872062088537025649392309510031434300691489250559442504789233900523513073567 has 177 digits
software ソフトウェア
GMP-ECM 7.0

c177

name 名前Dmitry Domanov
date 日付October 18, 2013 06:02:03 UTC 2013 年 10 月 18 日 (金) 15 時 2 分 3 秒 (日本時間)
composite number 合成数
146484024752148888855994911232141836692386859104172171492639190311054949455311737999080995728748515702872062088537025649392309510031434300691489250559442504789233900523513073567<177>
prime factors 素因数
3943396691083351315598085638822401921<37>
37146662186782431849600833053617326974412786093627722989099637587196703976645654826402329546522449240972830164153236923835898039538339837727<140>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3011044777
Step 1 took 22835ms
Step 2 took 8974ms
********** Factor found in step 2: 3943396691083351315598085638822401921
Found probable prime factor of 37 digits: 3943396691083351315598085638822401921

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)

46×10219+719

c140

name 名前Erik Branger
date 日付November 28, 2015 16:46:20 UTC 2015 年 11 月 29 日 (日) 1 時 46 分 20 秒 (日本時間)
composite number 合成数
12914383814543990923539814169424745633872172637103872471580149269554681016513740872187219206727706827149006745283651492034896455855902234161<140>
prime factors 素因数
4643324713583069543667244834496418062636535501632217163<55>
2781279495006170497293735394863807613151061332470041246102854278458651703909402242547<85>
factorization results 素因数分解の結果
Number: 51119_219
N = 12914383814543990923539814169424745633872172637103872471580149269554681016513740872187219206727706827149006745283651492034896455855902234161 (140 digits)
Divisors found:
r1=4643324713583069543667244834496418062636535501632217163 (pp55)
r2=2781279495006170497293735394863807613151061332470041246102854278458651703909402242547 (pp85)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 177.89 hours.
Factorization parameters were as follows:
# Murphy_E = 2.259e-11, selected by Erik Branger
# expecting poly E from 2.33e-011 to > 2.68e-011
n: 12914383814543990923539814169424745633872172637103872471580149269554681016513740872187219206727706827149006745283651492034896455855902234161
Y0: -1039894622127279506699029475
Y1: 540615249659753
c0: 19063417862363086703894457399538752
c1: 52181911130038178831917205328
c2: -116605125363380943014120
c3: -66050830738685477
c4: 118136428428
c5: 10620
skew: 1237140.87
type: gnfs
# selected mechanically
rlim: 17300000
alim: 17300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 17300000/17300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 21876803
Relations: 3630368 relations
Pruned matrix : 2216492 x 2216718
Polynomial selection time: 0.00 hours.
Total sieving time: 174.37 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 2.92 hours.
time per square root: 0.44 hours.
Prototype def-par.txt line would be: gnfs,139,5,65,2000,1e-05,0.28,250,20,50000,3600,17300000,17300000,28,28,55,55,2.6,2.6,100000
total time: 177.89 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-8-6.2.9200
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 27, 2013 16:42:18 UTC 2013 年 9 月 28 日 (土) 1 時 42 分 18 秒 (日本時間)
403e61610110Ignacio SantosSeptember 27, 2013 16:42:18 UTC 2013 年 9 月 28 日 (土) 1 時 42 分 18 秒 (日本時間)
1500Dmitry DomanovOctober 23, 2013 11:49:15 UTC 2013 年 10 月 23 日 (水) 20 時 49 分 15 秒 (日本時間)
4511e6409232Ignacio SantosSeptember 27, 2013 16:42:18 UTC 2013 年 9 月 28 日 (土) 1 時 42 分 18 秒 (日本時間)
230Ignacio SantosOctober 4, 2013 14:01:01 UTC 2013 年 10 月 4 日 (金) 23 時 1 分 1 秒 (日本時間)
1500Dmitry DomanovOctober 23, 2013 11:49:15 UTC 2013 年 10 月 23 日 (水) 20 時 49 分 15 秒 (日本時間)
230Ignacio SantosOctober 23, 2013 14:43:04 UTC 2013 年 10 月 23 日 (水) 23 時 43 分 4 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:46:02 UTC 2013 年 11 月 8 日 (金) 10 時 46 分 2 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:09:09 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 9 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:20 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 20 秒 (日本時間)
5043e64 / 6572KTakahashiJanuary 24, 2014 23:17:09 UTC 2014 年 1 月 25 日 (土) 8 時 17 分 9 秒 (日本時間)

46×10220+719

c203

name 名前Dmitry Domanov
date 日付October 18, 2013 05:59:25 UTC 2013 年 10 月 18 日 (金) 14 時 59 分 25 秒 (日本時間)
composite number 合成数
35886229683456847827862610027369399328901984558922793261194748328562756737406827914277352868690039070148835279359586136942407885519561548653209618063078743869341676031587718082062535723464138944446748349<203>
prime factors 素因数
644234826439369076565319117384579<33>
55703647506604040157192545443207249368249922550669425092791405594761759252559789437035966774533581957914867439056674402918224268527850987320176785361338991790063357501631<170>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3151745964
Step 1 took 26654ms
Step 2 took 10661ms
********** Factor found in step 2: 644234826439369076565319117384579
Found probable prime factor of 33 digits: 644234826439369076565319117384579

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500 / 2318Dmitry DomanovOctober 18, 2013 05:58:46 UTC 2013 年 10 月 18 日 (金) 14 時 58 分 46 秒 (日本時間)

46×10221+719

c173

composite cofactor 合成数の残り
45561626895468238615479999012769008118503274162884816383885999132647282736621912567370702893088916337130933269678497130631506402948377647665719652478413086461915797782670393<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 23, 2013 11:49:44 UTC 2013 年 10 月 23 日 (水) 20 時 49 分 44 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovOctober 23, 2013 11:49:44 UTC 2013 年 10 月 23 日 (水) 20 時 49 分 44 秒 (日本時間)

46×10223+719

c177

composite cofactor 合成数の残り
449121263403477581413586488987182677025637393204244870245093867898983296180100027162365337745137781386362099852327753754321884686159344527719379328097749725279133895611420218337<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 23, 2013 11:50:08 UTC 2013 年 10 月 23 日 (水) 20 時 50 分 8 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovOctober 23, 2013 11:50:08 UTC 2013 年 10 月 23 日 (水) 20 時 50 分 8 秒 (日本時間)

46×10225+719

c226

name 名前matsui
date 日付December 11, 2013 16:14:38 UTC 2013 年 12 月 12 日 (木) 1 時 14 分 38 秒 (日本時間)
composite number 合成数
5111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119<226>
prime factors 素因数
137156256631851229322090354543661370326552371180589200789193423912264443478265750527497<87>
37264877568291543398858236231226234108237040488556766511046033580872243648835775153806083490600760226966381114954748592118107243757066127127<140>
factorization results 素因数分解の結果
N=5111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119
  ( 226 digits)
SNFS difficulty: 226 digits.
Divisors found:
 r1=137156256631851229322090354543661370326552371180589200789193423912264443478265750527497 (pp87)
 r2=37264877568291543398858236231226234108237040488556766511046033580872243648835775153806083490600760226966381114954748592118107243757066127127 (pp140)
Version: Msieve v. 1.52 (SVN unknown)
Total time:
Scaled time: 436.14 units (timescale=1.800).
Factorization parameters were as follows:
n: 5111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119
m: 10000000000000000000000000000000000000
deg: 6
c6: 46000
c0: 71
skew: 0.34
# Murphy_E = 9.534e-13
type: snfs
lss: 1
rlim: 42000000
alim: 42000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 42000000/42000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved rational special-q in [21000000, 88200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 7961723 x 7961951
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,226.000,6,0,0,0,0,0,0,0,0,42000000,42000000,30,30,59,59,2.7,2.7,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 23, 2013 11:50:28 UTC 2013 年 10 月 23 日 (水) 20 時 50 分 28 秒 (日本時間)
4511e628502000Dmitry DomanovOctober 25, 2013 09:52:23 UTC 2013 年 10 月 25 日 (金) 18 時 52 分 23 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:15:36 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 36 秒 (日本時間)
5043e60--
5511e71414 / 14462Serge BatalovNovember 14, 2013 17:14:20 UTC 2013 年 11 月 15 日 (金) 2 時 14 分 20 秒 (日本時間)
6026e71341 / 41436Serge BatalovNovember 14, 2013 17:14:20 UTC 2013 年 11 月 15 日 (金) 2 時 14 分 20 秒 (日本時間)

46×10227+719

c224

name 名前Dmitry Domanov
date 日付October 21, 2013 10:11:01 UTC 2013 年 10 月 21 日 (月) 19 時 11 分 1 秒 (日本時間)
composite number 合成数
63547322032961719645792752842361197452581264591708455938220951275781562987829306367165374998273170596930388053103457803196706590962465636094878914722256758810283614461160153066158288090402972909500324643927777087046016549933<224>
prime factors 素因数
711175872698502669198996464620648381<36>
89355283935373464568128906841531158429046931178982894796157836075473149845096629931349755495498444378948951354106741441396234454177064964217768319543566909883046182975393699008457253260593<188>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=370584595
Step 1 took 30445ms
Step 2 took 11391ms
********** Factor found in step 2: 711175872698502669198996464620648381
Found probable prime factor of 36 digits: 711175872698502669198996464620648381

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)

46×10228+719

c156

composite cofactor 合成数の残り
464966766892357440724241082784513080888410068498426590969255002256431044061960356297355660629206589306067668213716579024817726312718756447177777930684417201<156>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 27, 2013 17:37:17 UTC 2013 年 9 月 28 日 (土) 2 時 37 分 17 秒 (日本時間)
403e61610110Ignacio SantosSeptember 27, 2013 17:37:17 UTC 2013 年 9 月 28 日 (土) 2 時 37 分 17 秒 (日本時間)
1500Dmitry DomanovOctober 23, 2013 11:50:47 UTC 2013 年 10 月 23 日 (水) 20 時 50 分 47 秒 (日本時間)
4511e6413232Ignacio SantosSeptember 27, 2013 17:37:17 UTC 2013 年 9 月 28 日 (土) 2 時 37 分 17 秒 (日本時間)
230Ignacio SantosOctober 7, 2013 21:16:01 UTC 2013 年 10 月 8 日 (火) 6 時 16 分 1 秒 (日本時間)
1500Dmitry DomanovOctober 23, 2013 11:50:47 UTC 2013 年 10 月 23 日 (水) 20 時 50 分 47 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:12:10 UTC 2013 年 11 月 9 日 (土) 2 時 12 分 10 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:03 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 3 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:57 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 57 秒 (日本時間)
220Ignacio SantosDecember 22, 2015 21:23:03 UTC 2015 年 12 月 23 日 (水) 6 時 23 分 3 秒 (日本時間)

46×10230+719

c187

composite cofactor 合成数の残り
2198403754775609877860862244195506394704394721923743324722158610749520380754649153513244571296232220643902797390725411095860915817262407664666071935232739434313764738887124306427321577731<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 23, 2013 11:51:08 UTC 2013 年 10 月 23 日 (水) 20 時 51 分 8 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 31, 2013 06:58:52 UTC 2013 年 12 月 31 日 (火) 15 時 58 分 52 秒 (日本時間)

46×10232+719

c198

name 名前Dmitry Domanov
date 日付October 18, 2013 09:25:48 UTC 2013 年 10 月 18 日 (金) 18 時 25 分 48 秒 (日本時間)
composite number 合成数
137721960602498725688458884737093743425020160485314251984746752037367859687575805229346239347325333718668102975569185498951075112598094788931528964103255635465661138551001221035579305871637826302853<198>
prime factors 素因数
121264305787441745259213672646066169<36>
composite cofactor 合成数の残り
1135717222872695914833601431830486930493058672215480659467382326629280853821335572178633152586816064866001366680941128031557496355929646876590075858954216881523437<163>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1078807518
Step 1 took 26636ms
Step 2 took 9967ms
********** Factor found in step 2: 121264305787441745259213672646066169
Found probable prime factor of 36 digits: 121264305787441745259213672646066169

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 22, 2013 18:32:11 UTC 2013 年 10 月 23 日 (水) 3 時 32 分 11 秒 (日本時間)
403e61610110Ignacio SantosOctober 22, 2013 18:32:11 UTC 2013 年 10 月 23 日 (水) 3 時 32 分 11 秒 (日本時間)
1500Dmitry DomanovOctober 23, 2013 11:51:20 UTC 2013 年 10 月 23 日 (水) 20 時 51 分 20 秒 (日本時間)
4511e6151232Ignacio SantosOctober 22, 2013 18:32:11 UTC 2013 年 10 月 23 日 (水) 3 時 32 分 11 秒 (日本時間)
230Ignacio SantosOctober 27, 2013 23:06:00 UTC 2013 年 10 月 28 日 (月) 8 時 6 分 0 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:13:04 UTC 2013 年 11 月 9 日 (土) 2 時 13 分 4 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:45 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 45 秒 (日本時間)
5043e6800 / 7151Erik BrangerMarch 13, 2014 08:34:39 UTC 2014 年 3 月 13 日 (木) 17 時 34 分 39 秒 (日本時間)

46×10233+719

c214

name 名前Dmitry Domanov
date 日付October 21, 2013 10:08:03 UTC 2013 年 10 月 21 日 (月) 19 時 8 分 3 秒 (日本時間)
composite number 合成数
6929824172697110155109942884040003848440878889648343449279925916663978361815991484050401254605472807590911736838794999956073956783931980041927128849107649514282192250547669934775132669245415072302096405403001341743<214>
prime factors 素因数
28848958127892835995073907381696230613497<41>
composite cofactor 合成数の残り
240210552560543134771048545588632899874041625566191611856848139243434713751709830175566498196168874021958511865688826655435904912694214200163321516497940024649865415637154919<174>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4043517751
Step 1 took 30558ms
Step 2 took 11115ms
********** Factor found in step 2: 28848958127892835995073907381696230613497
Found probable prime factor of 41 digits: 28848958127892835995073907381696230613497

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 23, 2013 11:51:33 UTC 2013 年 10 月 23 日 (水) 20 時 51 分 33 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 26, 2013 13:02:52 UTC 2013 年 11 月 26 日 (火) 22 時 2 分 52 秒 (日本時間)

46×10234+719

c148

name 名前Dmitry Domanov
date 日付October 21, 2013 10:11:55 UTC 2013 年 10 月 21 日 (月) 19 時 11 分 55 秒 (日本時間)
composite number 合成数
1827462498431348944685992232629889816326301118529967788599826320392003720430190833636858992168619816364165587181291223704735802561706573339420238961<148>
prime factors 素因数
5811901667008091930604702498947443849523<40>
314434517845534732855256182375896158129653741030109616133497448614817856000461636125813952027037780335580107<108>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1557314957
Step 1 took 16520ms
Step 2 took 7285ms
********** Factor found in step 2: 5811901667008091930604702498947443849523
Found probable prime factor of 40 digits: 5811901667008091930604702498947443849523

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 27, 2013 17:17:33 UTC 2013 年 9 月 28 日 (土) 2 時 17 分 33 秒 (日本時間)
403e6110 / 1332Ignacio SantosSeptember 27, 2013 17:17:33 UTC 2013 年 9 月 28 日 (土) 2 時 17 分 33 秒 (日本時間)
4511e6262 / 443732Ignacio SantosSeptember 27, 2013 17:17:33 UTC 2013 年 9 月 28 日 (土) 2 時 17 分 33 秒 (日本時間)
230Ignacio SantosOctober 7, 2013 18:10:50 UTC 2013 年 10 月 8 日 (火) 3 時 10 分 50 秒 (日本時間)

46×10235+719

c204

composite cofactor 合成数の残り
233176364940369439181891203810165734765456451995355851187906906836572301897583754022003585624947850374121994418336461792135974031188701282462820452601830423151057669538074476370185751728303443277995420999<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 23, 2013 11:51:43 UTC 2013 年 10 月 23 日 (水) 20 時 51 分 43 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 27, 2013 09:45:43 UTC 2013 年 12 月 27 日 (金) 18 時 45 分 43 秒 (日本時間)

46×10236+719

c196

composite cofactor 合成数の残り
7688518074726661773477254247982205843777990637378132502648957672620616276519564890561240537992426395710285780351185602843738110155024846238174859520591851327001070261761558542885294368045779037553<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 23, 2013 11:51:53 UTC 2013 年 10 月 23 日 (水) 20 時 51 分 53 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 31, 2013 06:59:14 UTC 2013 年 12 月 31 日 (火) 15 時 59 分 14 秒 (日本時間)

46×10237+719

c220

composite cofactor 合成数の残り
2523803660896149174225563094692136568400599206398585904751860199930666700426663447992706828780968177432797148686496600536795095602907592663998228442245606769366837127877931726178502136218849927625285855689111875837473647<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 23, 2013 11:52:04 UTC 2013 年 10 月 23 日 (水) 20 時 52 分 4 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 16, 2013 09:44:04 UTC 2013 年 12 月 16 日 (月) 18 時 44 分 4 秒 (日本時間)

46×10238+719

c232

name 名前Dmitry Domanov
date 日付October 21, 2013 10:05:45 UTC 2013 年 10 月 21 日 (月) 19 時 5 分 45 秒 (日本時間)
composite number 合成数
3432435122517749663000161854239657679365087253284305026988528495886110847522479148199139707892160021946094755520443236615295723350743465074446570390293915166306369175126817098508418155334299295194964665430885557143504508649038828997<232>
prime factors 素因数
218347755450144004296098733894891553<36>
composite cofactor 合成数の残り
15720038502074219100570221415340751785209884248804700355443408197464029799871670825542815927072709329284758800816592822727889681104027466974397553307426347152145790942353288545233719035036100909349<197>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=47192459
Step 1 took 37234ms
Step 2 took 12422ms
********** Factor found in step 2: 218347755450144004296098733894891553
Found probable prime factor of 36 digits: 218347755450144004296098733894891553

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 23, 2013 11:52:18 UTC 2013 年 10 月 23 日 (水) 20 時 52 分 18 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 31, 2013 06:59:33 UTC 2013 年 12 月 31 日 (火) 15 時 59 分 33 秒 (日本時間)

46×10239+719

c227

composite cofactor 合成数の残り
22938537605495540370914661711794179293373718712746569466283533597276364872190624962617687612405677827218604897178145519269855685986529164537382202416313076883262327898267040582967283538487445144712798602983498484255624368132117<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 23, 2013 11:52:28 UTC 2013 年 10 月 23 日 (水) 20 時 52 分 28 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 16, 2013 09:43:51 UTC 2013 年 12 月 16 日 (月) 18 時 43 分 51 秒 (日本時間)

46×10241+719

c207

composite cofactor 合成数の残り
255574084107198410367678270772515708654282880125503152374224724968540371371119183733385855842630994905294308372365611465260470399530812017304811923183028596980660971804815710452849907064244090191688949988599<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 23, 2013 11:52:39 UTC 2013 年 10 月 23 日 (水) 20 時 52 分 39 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 27, 2013 09:45:21 UTC 2013 年 12 月 27 日 (金) 18 時 45 分 21 秒 (日本時間)

46×10243+719

c219

composite cofactor 合成数の残り
214017400790423287492936043693408772442463615575142056152440003720343813150308169873732873132726835565063421336402208376142806586698943759221497147888736687011280392047449765454617648632907421352631159563143867199074521<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 23, 2013 11:52:50 UTC 2013 年 10 月 23 日 (水) 20 時 52 分 50 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 16, 2013 09:43:31 UTC 2013 年 12 月 16 日 (月) 18 時 43 分 31 秒 (日本時間)

46×10244+719

c195

composite cofactor 合成数の残り
261044622269614594368844020143884997027377781596912260317856657802616200765713314685054324834927520765050350393065624933648089324382350820460574329105683329895076600547780221960368800541790742923<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 23, 2013 11:53:03 UTC 2013 年 10 月 23 日 (水) 20 時 53 分 3 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 31, 2013 06:59:52 UTC 2013 年 12 月 31 日 (火) 15 時 59 分 52 秒 (日本時間)

46×10245+719

c218

name 名前Dmitry Domanov
date 日付October 18, 2013 06:01:08 UTC 2013 年 10 月 18 日 (金) 15 時 1 分 8 秒 (日本時間)
composite number 合成数
15403760555307406860978625703842261932811248902289788993101164451058480649381601536553893299049170719234145462631704811280465147971504586841479109271817734202462366391359066759853325272477646759219626633545132089492493<218>
prime factors 素因数
5613876550686799229443704118561828333<37>
composite cofactor 合成数の残り
2743872334246986150083029144073058362368465937717967205623980950371854426951345092600145934137515043921387047000446103821412644048286433632316858904594325122115728150231851264207521<181>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2383247462
Step 1 took 30586ms
Step 2 took 11074ms
********** Factor found in step 2: 5613876550686799229443704118561828333
Found probable prime factor of 37 digits: 5613876550686799229443704118561828333

c181

name 名前Dmitry Domanov
date 日付October 21, 2013 10:04:59 UTC 2013 年 10 月 21 日 (月) 19 時 4 分 59 秒 (日本時間)
composite number 合成数
2743872334246986150083029144073058362368465937717967205623980950371854426951345092600145934137515043921387047000446103821412644048286433632316858904594325122115728150231851264207521<181>
prime factors 素因数
16668771536900408780486607396815272884521<41>
164611550897602299723865502873222128755457444832924050034510270604300962228761309141165598090954281332622188496100272457573492661949286563001<141>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2551394784
Step 1 took 22913ms
Step 2 took 8922ms
********** Factor found in step 2: 16668771536900408780486607396815272884521
Found probable prime factor of 41 digits: 16668771536900408780486607396815272884521

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)

46×10246+719

c230

name 名前Dmitry Domanov
date 日付October 18, 2013 06:00:16 UTC 2013 年 10 月 18 日 (金) 15 時 0 分 16 秒 (日本時間)
composite number 合成数
95565144949874414573941066689846181853514904087130770459858728342396639091710518289528705297455473178146964436491085224847579607891415601886178794397430968483966699315162441293924309268101504537608037646154563043543597902619260819<230>
prime factors 素因数
51726894334245593361590762159<29>
1847494348536712252916289693938321210997843107206169586542429158614742639779452774784626186961558633919360606080552031427705463957615305118323645108956017990591747955187800046100870119155084724331739741<202>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3979444609
Step 1 took 30425ms
Step 2 took 11816ms
********** Factor found in step 2: 51726894334245593361590762159
Found probable prime factor of 29 digits: 51726894334245593361590762159

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)

46×10247+719

c231

composite cofactor 合成数の残り
698032699256566989626972396369522256132177425322784678415517244132303794806439478721598574786564838518063985215022138270607971720573065997370043364943612158777866491231390250063818757543914420148303866224667994042713739100643741097<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 23, 2013 11:53:18 UTC 2013 年 10 月 23 日 (水) 20 時 53 分 18 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 16, 2013 09:43:16 UTC 2013 年 12 月 16 日 (月) 18 時 43 分 16 秒 (日本時間)

46×10248+719

c230

composite cofactor 合成数の残り
21897266264633986867477158830981329557897016128274970459615338688897483787132965656931995725337309629447682322828123485945419322432949689439623362667145522939775766142716583739622300623246052153179334794802696941170978464246254961<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 23, 2013 11:53:29 UTC 2013 年 10 月 23 日 (水) 20 時 53 分 29 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 16, 2013 09:43:05 UTC 2013 年 12 月 16 日 (月) 18 時 43 分 5 秒 (日本時間)

46×10249+719

c250

name 名前Sean Wellman
date 日付April 24, 2017 11:23:52 UTC 2017 年 4 月 24 日 (月) 20 時 23 分 52 秒 (日本時間)
composite number 合成数
5111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119<250>
prime factors 素因数
159790103673140365135029060471459644167485842180777189<54>
31986405876337473667915871421471627616138122756251708646798873692125179282754424937563555845773902840234802484347893904745362282712769989163180104828654450774930325076753204879388780056993644766371<197>
factorization results 素因数分解の結果
p54 factor: 159790103673140365135029060471459644167485842180777189
p197 factor: 31986405876337473667915871421471627616138122756251708646798873692125179282754424937563555845773902840234802484347893904745362282712769989163180104828654450774930325076753204879388780056993644766371
software ソフトウェア
Msieve 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e627001200Serge BatalovOctober 5, 2013 04:29:54 UTC 2013 年 10 月 5 日 (土) 13 時 29 分 54 秒 (日本時間)
1500Dmitry DomanovOctober 23, 2013 11:53:40 UTC 2013 年 10 月 23 日 (水) 20 時 53 分 40 秒 (日本時間)
4511e62000Dmitry DomanovOctober 25, 2013 09:51:58 UTC 2013 年 10 月 25 日 (金) 18 時 51 分 58 秒 (日本時間)
5043e6800Dmitry DomanovOctober 31, 2013 13:22:16 UTC 2013 年 10 月 31 日 (木) 22 時 22 分 16 秒 (日本時間)
5511e72738 / 142201500Serge BatalovNovember 6, 2013 00:37:44 UTC 2013 年 11 月 6 日 (水) 9 時 37 分 44 秒 (日本時間)
1238Serge BatalovNovember 14, 2013 17:17:00 UTC 2013 年 11 月 15 日 (金) 2 時 17 分 0 秒 (日本時間)
6026e71341 / 40854Serge BatalovNovember 14, 2013 17:17:00 UTC 2013 年 11 月 15 日 (金) 2 時 17 分 0 秒 (日本時間)

46×10250+719

c234

composite cofactor 合成数の残り
264252869883747770094390316318081973360367184461535539926266736148689607667828869387451114092003695814385682116505548226068874462567655217146836912463827283790270210934091931133098823387664823313884637751705484193047614207215470225727<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 23, 2013 11:53:49 UTC 2013 年 10 月 23 日 (水) 20 時 53 分 49 秒 (日本時間)
4511e62000Dmitry DomanovOctober 25, 2013 09:51:18 UTC 2013 年 10 月 25 日 (金) 18 時 51 分 18 秒 (日本時間)
5043e6640 / 7047Dmitry DomanovNovember 5, 2013 13:03:20 UTC 2013 年 11 月 5 日 (火) 22 時 3 分 20 秒 (日本時間)